{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "Blue Emphasis" -1 256 "Times" 0 0 0 0 255 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Green Emphasis" -1 257 "Times" 1 12 0 128 0 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Maroon Emphasis" -1 258 "Times" 1 12 128 0 128 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Dark Red Emphasis" -1 259 "Times" 1 12 128 0 0 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Purple Emphasis" -1 260 "Times " 1 12 102 0 230 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Red Emphasis" -1 261 "Times" 1 12 255 0 0 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Grey Emphasis" -1 262 "Times" 1 12 96 52 84 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Magenta E mphasis" -1 263 "Times" 1 12 200 0 200 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Orange Emphasis" -1 264 "Times" 1 12 225 100 10 1 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 128 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 3 0 3 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 " Times" 1 14 128 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Out put" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE " " -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal " -1 257 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }2 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 259 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Outpu t" -1 260 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 92 "Derivation of (defective) order 8 and 9 embedded schemes for an order 10 Runge-Kutta schemes" }}{PARA 0 "" 0 "" {TEXT -1 46 "by Peter Stone, Gabriola Island, B.C., Canada \+ " }}{PARA 0 "" 0 "" {TEXT -1 18 "Version: 31.8.2011" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 81 "load procedures for constructing Runge-Kutta schemes a nd root-finding procedures " }}{PARA 0 "" 0 "" {TEXT -1 18 "The Maple \+ m-files " }{TEXT 262 9 "butcher.m" }{TEXT -1 5 " and " }{TEXT 262 7 "r oots.m" }{TEXT -1 33 " are required by this worksheet. " }}{PARA 0 "" 0 "" {TEXT -1 134 "They can be read into a Maple session by commands s imilar to those that follow, where each file path gives the location o f the m-file." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "read \"C:\\ \\Maple/procdrs/butcher.m\";\nread \"C:\\\\Maple/procdrs/roots.m\";" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 "" {TEXT -1 53 "#============= =======================================" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 59 "a (defective) embedded order 9 scheme for Feagin's scheme " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 "" {TEXT -1 42 "#-----------------------------------------" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 28 "checking the combined scheme" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Digit s := 810:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 35 "coefficie nts 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4104639601703266323661815160591159768901969655113027022680818361,\n`b* `[12]=.189237478148923490158306404106012326238162346948625830327194425 6799821862794952728706601185587576064897489236943583756150709411685228 7975359287682406866487128804748783786126846167184008558187898831703242 9937936199604734314994301014733307024573394900904316080793386621393210 4366820993069746682599420946757721433378233832491433384627075730650480 1621036408347277852853826665570715542246727503746527010303142311515205 8770223406261157000866978639461549086058315380730342273134741090910587 0841965678182508583609943351663158689722111200827176792295713824380584 5702075279515445845547755032835083486603752914817953507385170133651975 2765152805245811077361743471298038214264170903848819668425926423504619 2097666160829411327134188210289511358010598486128656725620270649634003 43004851506075506897764697011553639643985848305,\n`b*`[13]=-.4e-1,\n`b *`[14]=-.5e-1,\n`b*`[15]=-.3333333333333333333333333333333333333333333 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3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 33333333333e-1\}:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 1 ";" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "RK9_18eqs := OrderConditions (9,18,'expanded'):\n`RK9_18eqs*` := subs(b=`b*`,RK9_18eqs):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 88 "su 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"read \"C:\\\\Maple/RK_data/errterms10_18.m\";" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 116 "Digits := 30:\nsm := 0:\nfor ct to 1842 do\n sm := sm+(subs(ee, errterms10_18[ct]))^2;\nend do:\nsqrt(sm):\nevalf[10](%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+#4<#*=#!#9" }}}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{PARA 0 "" 0 "" {TEXT -1 42 "#-----------------------------------------" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 43 "construction of the embedded order 9 sche me" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ":" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 3 "e15" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118641 "e15 := \{a[12,8] = -142442562873809381244830804248996956964452 752628910292935649509246348420966800910167890658079780178148125/706633 5440550943078818168397181128562294567061932558530142600781315018249643 255855876696574455608966933402*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7 ^(1/2))^(1/2)+11609522241782865532783153298012117451944348127673272948 358353224897237573187456793921383707408715524125/116927778939066901469 6883904663176265134236138212778576416315628458083549306661200641483161 7962949200662*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+41 0386358243993238653820608996100367512834771771794639497540389676668341 3445679933471494013901770345250/50473824575363879134415488551293775444 9611932995182752153042912951072732117375418276906898175400640495243*(1 47+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1000969257544715345 8609069059771792518554541284457799332384883707628908799139096400961447 04490502080625/1869400910198662190163536613010880572035599751834010193 1594181961150841930273163639885440673162986685009*(81872+30130*7^(1/2) +1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )*(147-42*7^(1/2))^(1/2)+199103993358549810053923221353652702536703646 76734021854839647271068325488848888552177617895924773484625/1009476491 5072775826883097710258755088992238659903655043060858259021454642347508 36553813796350801280990486*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2) +1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )+35442862541522001975693986583086154059975298454982919920825933286903 655732002678096601448201039627100625/105995031608264146182272525957716 9284344185059289883779521390117197252737446488378381504486168341345040 0103*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)+2651072199605936990851762510483141897171435637593721359523773121863 1783042520774473575436451301400435125/21199006321652829236454505191543 3856868837011857976755904278023439450547489297675676300897233668269008 00206*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)-7042369464078217078320584541298572661833680915773767221476 82170287502769727651620777594046385504387491875/9094382806371870114309 0970362691487288218366305438333721268993324517609390518093383226468139 71182711626*7^(1/2)+40395290153939421746869862155090165623400589881136 544124827522624036487806490453275793704393140718310375/909438280637187 0114309097036269148728821836630543833372126899332451760939051809338322 646813971182711626*(147+42*7^(1/2))^(1/2)*7^(1/2)+21623606874060235829 0309399017259059553672366412330777108888366455276703687115836460909455 6980350511375/14435528264082333514776344502014521791780693064355291066 8680941784948586334155703782899155777320360502*(147+42*7^(1/2))^(1/2)- 4281205079203568597636849439144149069531442356997820918318687901705968 9128632869616967055507126690125875/33649216383575919422943659034195850 2966407955330121834768695275300715154744916945517937932116933760330162 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)-156636771209259891563148838579486090246 55658277564849024776697902253497207086587149056930800333851714625/4807 0309119394170604205227191708357566629707904303119252670753614387879249 273849359705418873847680047166*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+14930063691254862 4030689921673243763005719473699651996367873545835371099163041334572869 0556404917158448125/57294611680142781720147311328495636991577570772426 1502443994657944460939160263988314326749280184510832438*(147+42*7^(1/2 ))^(1/2)*(147-42*7^(1/2))^(1/2)-43410856406175463493545954252718692845 0582815825166210019282489242047327200463190084516847996876492564375/27 2831484191156103429272911088074461864655098916315001163806979973552828 17155428014967940441913548134878*(147-42*7^(1/2))^(1/2)*7^(1/2)-291584 0877516854246155649486022383391770917962257084768997653761569329091002 73162187704524582598979589125/1299197543767410016329871005181306961260 262375791976196018128476064537277007401334046092401995883244518-114508 6388164614986736183307816394206807013509997493147409904207548782357425 198395055647759654423310222375/272831484191156103429272911088074461864 65509891631500116380697997355282817155428014967940441913548134878*(147 -42*7^(1/2))^(1/2), a[15,1] = 856/204687*(147+42*7^(1/2))^(1/2)*7^(1/2 )-20060/9747-15163/204687*7^(1/2)+4931/68229*(147+42*7^(1/2))^(1/2), a [17,10] = 1/10, c[13] = 5/6, c[16] = 1/10, c[7] = 5/6, c[2] = 1/10, b[ 10] = 7/30+1/60*7^(1/2), c[9] = 1/2+1/42*(147+42*7^(1/2))^(1/2), c[12] = 1/2-1/42*(147+42*7^(1/2))^(1/2), b[17] = 1/30, b[3] = 1/30, b[4] = \+ 0, b[5] = 1/20, b[16] = -1/40, c[17] = 1, b[15] = -1/30, b[14] = -1/20 , b[8] = 0, b[13] = -1/25, b[6] = 0, b[7] = 1/25, b[2] = 1/40, c[10] = 1/2+1/42*(147-42*7^(1/2))^(1/2), c[11] = 1/2-1/42*(147-42*7^(1/2))^(1 /2), b[11] = 7/30+1/60*7^(1/2), b[12] = 7/30-1/60*7^(1/2), b[9] = 7/30 -1/60*7^(1/2), c[15] = 125/171+1/171*7^(1/2)-41/3591*(147+42*7^(1/2))^ (1/2)-2/3591*(147+42*7^(1/2))^(1/2)*7^(1/2), c[8] = 9696052372969447/1 424778961231272150*(147+42*7^(1/2))^(1/2)-1346035618447661/14247789612 31272150*(147+42*7^(1/2))^(1/2)*7^(1/2)-550982039509513/22615539067163 050*7^(1/2)+7139251608029666/33923308600744575+16258185291863/85486737 67387632900*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+74812 3489349/305309777406701175*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2) +1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )+4728339326944/712389480615636075*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+43021 804800073/407079703208934900*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), c[4] = 125/114+1/1 14*7^(1/2)-41/2394*(147+42*7^(1/2))^(1/2)-1/1197*(147+42*7^(1/2))^(1/2 )*7^(1/2), c[6] = -4/3591*(147+42*7^(1/2))^(1/2)*7^(1/2)-82/3591*(147+ 42*7^(1/2))^(1/2)+2/171*7^(1/2)+193/171+41/6498*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)- 4/7581*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)-142/204687*(147+42*7^(1/2))^(1/2) *(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42 *7^(1/2))^(1/2))^(1/2)+32/204687*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2), c[5] = 34/57+1/114*7^(1/2)-41/2394*(147+42*7^(1/2))^( 1/2)-1/1197*(147+42*7^(1/2))^(1/2)*7^(1/2), c[3] = 125/171+1/171*7^(1/ 2)-41/3591*(147+42*7^(1/2))^(1/2)-2/3591*(147+42*7^(1/2))^(1/2)*7^(1/2 ), c[14] = 34/57+1/114*7^(1/2)-41/2394*(147+42*7^(1/2))^(1/2)-1/1197*( 147+42*7^(1/2))^(1/2)*7^(1/2), a[16,4] = 0, a[16,14] = 0, a[16,13] = 0 , a[16,7] = 0, a[2,1] = 1/10, a[16,12] = 0, a[16,9] = 0, a[16,11] = 0, a[16,2] = 0, a[16,10] = 0, a[16,8] = 0, a[16,6] = 0, a[17,3] = 856/18 42183*(147+42*7^(1/2))^(1/2)*7^(1/2)+18928/87723-15163/1842183*7^(1/2) +4931/614061*(147+42*7^(1/2))^(1/2), a[16,3] = -680/5526549*(147+42*7^ (1/2))^(1/2)*7^(1/2)-18680/263169-17560/5526549*7^(1/2)-8320/1842183*( 147+42*7^(1/2))^(1/2), a[13,5] = 175585925/252555664-32843525/47733020 496*(147+42*7^(1/2))^(1/2)*7^(1/2)-52282675/3409501464*(147+42*7^(1/2) )^(1/2)-20499575/2273000976*7^(1/2)+7317529975/508138460188704*7^(1/2) *(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42 *7^(1/2))^(1/2))^(1/2)-535206235775/254069230094352*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+7820003047075/32012722991888352*(147+42*7^(1/2))^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)-636957235375/16006361495944176*(147+42*7^(1/2))^(1/2)*7^(1/ 2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2), a[15,5] = -1/1064*(147+42*7^(1/2))^(1/2)*7^( 1/2)-69/152+3/304*7^(1/2)-41/2128*(147+42*7^(1/2))^(1/2), a[14,3] = 30 778940933/3957059225836*7^(1/2)+459003115105/989264806459-330027166045 /20774560935639*(147+42*7^(1/2))^(1/2)-15330321823/20774560935639*(147 +42*7^(1/2))^(1/2)*7^(1/2), a[13,4] = -14753702975/416532550088+420366 16273525/7906204333220328*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+128447350/468599118849 *7^(1/2)+48045631788725/249045436496440332*(147+42*7^(1/2))^(1/2)*7^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)+85572976175/5623189426188*(147+42*7^(1/2))^( 1/2)-1148670097025/2635401444406776*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3782 14205172575/498090872992880664*(147+42*7^(1/2))^(1/2)*(81872+30130*7^( 1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)+25159175225/39362325983316*(147+42*7^(1/2))^(1/2)*7^(1/2), a[14, 4] = -7391600435/52066568761-5518923/52066568761*7^(1/2)+202379726/520 66568761*(147+42*7^(1/2))^(1/2)+58663649/364465981327*(147+42*7^(1/2)) ^(1/2)*7^(1/2), a[15,2] = 27185/9747+16360/204687*7^(1/2)-5710/68229*( 147+42*7^(1/2))^(1/2)-970/204687*(147+42*7^(1/2))^(1/2)*7^(1/2), a[17, 5] = 1/3192*(147+42*7^(1/2))^(1/2)*7^(1/2)+23/152-1/304*7^(1/2)+41/638 4*(147+42*7^(1/2))^(1/2), a[17,16] = -27/40, a[15,7] = 200343/2606420* 7^(1/2)+374283/5212840-177381/36489880*(147+42*7^(1/2))^(1/2)*7^(1/2)- 6474/651605*(147+42*7^(1/2))^(1/2), a[16,15] = 18680/263169+17560/5526 549*7^(1/2)+8320/1842183*(147+42*7^(1/2))^(1/2)+680/5526549*(147+42*7^ (1/2))^(1/2)*7^(1/2), a[13,12] = -3075/2092+75/523*7^(1/2)-65/21966*(1 47+42*7^(1/2))^(1/2)*7^(1/2)-185/3138*(147+42*7^(1/2))^(1/2), a[17,12] = 127/722-103/1444*7^(1/2)-55/4332*(147+42*7^(1/2))^(1/2)+41/30324*(1 47+42*7^(1/2))^(1/2)*7^(1/2), a[17,11] = -90745/5776-30065/5776*7^(1/2 )-101609/121296*(147-42*7^(1/2))^(1/2)*7^(1/2)-40867/17328*(147-42*7^( 1/2))^(1/2)+18311/121296*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) +6007/121296*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+115 41/40432*(147+42*7^(1/2))^(1/2)*7^(1/2)+6231/5776*(147+42*7^(1/2))^(1/ 2), a[13,11] = -1834355/364008*(147-42*7^(1/2))^(1/2)-1290125/121336*7 ^(1/2)+283855/849352*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-430 9885/2548056*(147-42*7^(1/2))^(1/2)*7^(1/2)+318715/121336*(147+42*7^(1 /2))^(1/2)-4557565/121336+80925/849352*(147+42*7^(1/2))^(1/2)*7^(1/2)* (147-42*7^(1/2))^(1/2)+415745/849352*(147+42*7^(1/2))^(1/2)*7^(1/2), a [15,14] = 69/152-3/304*7^(1/2)+41/2128*(147+42*7^(1/2))^(1/2)+1/1064*( 147+42*7^(1/2))^(1/2)*7^(1/2), a[14,12] = -196385/188803+829/188803*7^ (1/2)+14809/1321621*(147+42*7^(1/2))^(1/2)*7^(1/2)-27343/377606*(147+4 2*7^(1/2))^(1/2), a[17,13] = -717523/5212840-22017/2606420*7^(1/2)-146 8/1954815*(147+42*7^(1/2))^(1/2)+68359/109469640*(147+42*7^(1/2))^(1/2 )*7^(1/2), a[15,13] = -374283/5212840+177381/36489880*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+6474/651605*(147+42*7^(1/2))^(1/2)-200343/2606420*7^(1/ 2), a[17,15] = -18928/87723+15163/1842183*7^(1/2)-4931/614061*(147+42* 7^(1/2))^(1/2)-856/1842183*(147+42*7^(1/2))^(1/2)*7^(1/2), a[17,14] = \+ -23/152+1/304*7^(1/2)-41/6384*(147+42*7^(1/2))^(1/2)-1/3192*(147+42*7^ (1/2))^(1/2)*7^(1/2), a[14,11] = -13550689/2265636*(147-42*7^(1/2))^(1 /2)-5090608/188803*7^(1/2)+1188595/5286484*(147+42*7^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)-26347687/7929726*(147-42*7^(1/2))^(1/2)*7^(1/2)-558 817/755212*(147+42*7^(1/2))^(1/2)+686759/2643242*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(147-42*7^(1/2))^(1/2)-19540577/755212+6728711/2643242*(147+ 42*7^(1/2))^(1/2)*7^(1/2), a[12,11] = -16199/2088*7^(1/2)-27391/2088+6 547/14616*(147+42*7^(1/2))^(1/2)+9071/14616*(147+42*7^(1/2))^(1/2)*7^( 1/2)-101179/43848*(147-42*7^(1/2))^(1/2)-45839/43848*(147-42*7^(1/2))^ (1/2)*7^(1/2)+67729/920808*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1 /2))^(1/2)+15875/131544*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[14,13] = 174832/1954815+29721/651605*7^(1/2)-8356/1172889*(147+42*7 ^(1/2))^(1/2)-115946/41051115*(147+42*7^(1/2))^(1/2)*7^(1/2), a[16,5] \+ = 0, a[14,5] = 0, a[8,5] = 2026754068958343142229484127647381323268311 12339399545821949398052833209933/1214756194017443628189212197751640719 066000084861737168161400034665360546875+326491051774592486789838906226 0182882315005694191023762148162587091487923/85032933581221053973244853 84261485033462000594032160177129800242657523828125*(147+42*7^(1/2))^(1 /2)*7^(1/2)+3457192900292212916227176103435985064323172386470554829919 37470794178891749/6802634686497684317859588307409188026769600475225728 1417038401941260190625000*(147+42*7^(1/2))^(1/2)-193705544097788656028 72827039355432003040352718019219272975102129691861217/4319133134284244 01133942114756138922334577807950839882012942234547683750000*7^(1/2)+52 2993248184314791199067431506943181041793721800176595033519684622206241 608859/160079599442663507367871832049953012645942238383011834630574767 4481734805787500000*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-33705902613615174200 59419302812324617402616009426200496710352795644395587817/5717128551523 696691709708287498321880212222799393279808234813123149052877812500*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)+170682216863629810859349586873026273517936916061700 700211249373197311706214619/160079599442663507367871832049953012645942 2383830118346305747674481734805787500000*(147+42*7^(1/2))^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)-168340602254465543856081282108917368739971816378281752 93977225624154955810217/4001989986066587684196795801248825316148555959 57529586576436918620433701446875000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2), a[6,4] = 1998635609/20016721863-5552742803/4203511 59123*7^(1/2)+152449714/20016721863*(147+42*7^(1/2))^(1/2)+226532729/4 20351159123*(147+42*7^(1/2))^(1/2)*7^(1/2)-9799137688/23960016070011*7 ^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)+25731859412/3422859438573*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)-19618251806/23960016070011*(147+42*7^(1/2))^(1/2)*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+27897804688/167720112490077*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2), a[9,6] = 3877367067606547150670243120997179853087 4258543/1160787006048210869881040852620643121219094385514+972868275568 24246260120831757798046374991275580/4062754521168738044583642984172250 924266830349299*7^(1/2)+1915011995643940523197685267342303383789371813 8/36564790690518642401252786857550258318401473143691*(147+42*7^(1/2))^ (1/2)+75993996724318585486580009179133626840144939993/3656479069051864 2401252786857550258318401473143691*(147+42*7^(1/2))^(1/2)*7^(1/2)-4981 155254542586734673200106729200073336239073/487530542540248565350037158 10067011091201964191588*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+3312934256666700 05182985172804706547754986263/6964722036289265219286245115723858727314 566313084*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)-20142574042830765995798869642678796560 98879085/170635689889086997872513005335234538819206874670558*(147+42*7 ^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2) *7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+25398369647530551996631743 21141578606411370451/1462591627620745696050111474302010332736058925747 64*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[7,4] = -14753702975 /416532550088+42036616273525/7906204333220328*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+12 8447350/468599118849*7^(1/2)+48045631788725/249045436496440332*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+85572976175/562318942618 8*(147+42*7^(1/2))^(1/2)-1148670097025/2635401444406776*7^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)-378214205172575/498090872992880664*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)+25159175225/39362325983316*(147+42*7^(1/2))^ (1/2)*7^(1/2), a[10,9] = -208268696365777950185450478770/3060591191583 1592807818592740611*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1868 9465574415815105366733059/323872083765413680506016854398*(147+42*7^(1/ 2))^(1/2)+698284814259170553964020875453/27205255036294749162505415769 432*(147-42*7^(1/2))^(1/2)*7^(1/2)-915552540152468833702054685653/4284 82766821642299309460298368554*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7 ^(1/2))^(1/2)+274451461684817355121112568343/3400656879536843645313176 971179*(147-42*7^(1/2))^(1/2)-118861525623823828656608584719/906841834 5431583054168471923144*(147+42*7^(1/2))^(1/2)*7^(1/2)+3260010691891001 715261650353673/2914848753888723124554151689582+2161770141668660859466 252912081/5829697507777446249108303379164*7^(1/2)+45118939969371380303 9656354669/979389181306610969850194967699552*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)+293365774024492559903813936299/139912740186658709978599281099936* (81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42* 7^(1/2))^(1/2))^(1/2)-3924068573407728972295576459/9793891813066109698 50194967699552*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-13 6955143070159833249385666935/979389181306610969850194967699552*(147+42 *7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+62572336278289311676731251711/32 6463060435536989950064989233184*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)+17854114260364984228669720019/326463060435536989950064989233184 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-5120793773723830 1595720371581/2938167543919832909550584903098656*(147+42*7^(1/2))^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-71111395847101963313544 716455/20567172807438830366854094321690592*(147+42*7^(1/2))^(1/2)*7^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[10,7] = -150724054 80671732150277549276360746709/201616264265934901076295987083389663658* 7^(1/2)-5868204479493774544952553411926427093/144011617332810643625925 705059564045470-5685054155219627069388668723721213723/1008081321329674 505381479935416948318290*(147+42*7^(1/2))^(1/2)-9031059025178041386108 48267854633385/201616264265934901076295987083389663658*(147+42*7^(1/2) )^(1/2)*7^(1/2)+3811937923562438200402297650944763151/1008081321329674 505381479935416948318290*(147-42*7^(1/2))^(1/2)*7^(1/2)+16795681095482 427129323968498410155207/1008081321329674505381479935416948318290*(147 -42*7^(1/2))^(1/2)+16609742899190464054243737654426104887/635091232437 69493839033235931267744052270*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7 ^(1/2))^(1/2)+5322205213656981335658758545698167947/907273189196707054 8433319418752534864610*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+2 7222669061287889626672571679594976/50404066066483725269073996770847415 9145*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-38851676443532111896927912017612963 /72005808666405321812962852529782022735*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-27631005 97178444846739116118894587/201616264265934901076295987083389663658*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-7466764080328516656789512326 194499/7056569249307721537670359547918638228030*(147+42*7^(1/2))^(1/2) *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)+145937438141695270779059899842481/28802 323466562128725185141011912809094*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+72631995294244144269978215958106071/7056569249307721537670359 547918638228030*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+5 115333440499852023629118530729273/272181956759012116452999582562576045 93830*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)+248793624408293359571527220272971542/952636848656542407585 49853896901616078405*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2), a[7,1] = 23484440040702826655/11834736161072411073 6-551455360041366425/2485294593825206325456*(147+42*7^(1/2))^(1/2)*7^( 1/2)-1023735498586576025/177521042416086166104*(147+42*7^(1/2))^(1/2)+ 706640092513505975/355042084832172332208*7^(1/2)-26202134961238475/213 0252508993033993248*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+400334183876209075/2 130252508993033993248*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2) *7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-8361862111222775/355042084 832172332208*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42* 7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+254089080610 8275/552287687516712516768*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2), a[9,8] = 40741587778625139025567704568412138569290947806827 2274951433974317046880884875/12708001341073330901093911309066174318888 58812630850771791181679715753760298213+1864460337989375924415310051914 492821439861414492702948026884914906603677875/470196049619713243340474 71843544844979887776067341478556273722149482889131033881*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)-1844332426917980460180388573326882122426192552222432424993653 81455371302895125/8895600938751331630765737916346322023222011688415955 402538271758010276322087491*7^(1/2)-2030686779391465453787147875593891 288093032990564328706998466780629439176875/230396064313659489236832612 0333697404014501027299732449257412385324661567420660169*(147+42*7^(1/2 ))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+3577658129252097324668666982937 67096132416679592459432473468417796082904806375/2668680281625399489229 7213749038966069666035065247866207614815274030828966262473*(147+42*7^( 1/2))^(1/2)+1582637697032736588022149750397592547662510561804151725897 981262696368255125/219424823155866180225554868603209276572809621647593 566595944036697586815944824778*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+608731151 1144369660908124260659847906083375970162949017059100023179277074500/98 7411704201397811014996908714441744577643297414171049681748165139140671 751711501*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^( 1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-246487247851114 26652892642141558515603108571815651299915919150485140744878750/2668680 2816253994892297213749038966069666035065247866207614815274030828966262 473*(147+42*7^(1/2))^(1/2)*7^(1/2), a[8,1] = 2742695885677054882037023 06851641817505965551781478869800609622637247534413241/2355506973504094 366040727669387441095536001405258857435888985946972395453125000+913579 2114987148343496854577028074151639314387160836109868106220976195404111 /127197376569221095766199294146921819158944075883978301538005241136509 354468750000*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-41457382090864906688282429773186229 78578992858545068061307006810522839377998037/2967938786615158901211316 86342817578037536177062616036922012229318521827093750000*7^(1/2)+49551 6085049212522677164593388785866389462236666060634364296228529920757416 87/1869801435567550107763129623959750741636477915494481032608677044706 6875106906250000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 3436281198083271509659341267119507764815503842343123917126414340422798 89557659/4451908179922738351816975295142263670563042655939240553830183 43977782740640625000*(147+42*7^(1/2))^(1/2)-26286632321791917195065564 728600109649328136672867250359010193221831137408911/178076327196909534 0726790118056905468225217062375696221532073375911130962562500000*7^(1/ 2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2)-152213673586844769072294877312431366957223739 72742891462526609756188972402511/2671144907953643011090185177085358202 337825593563544332298110063866696443843750000*(147+42*7^(1/2))^(1/2)*( 81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)-1750036271456734675957150508406986134104220304131 2192582887886486600418741547/44519081799227383518169752951422636705630 4265593924055383018343977782740640625000*(147+42*7^(1/2))^(1/2)*7^(1/2 ), a[6,5] = 64670461/77449662-155514541/119195029818*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)+171625382/7318993059*7^(1/2)-7528307/648950717898*(147+42*7^(1/2) )^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-182341979/7318993059*(147+42*7^( 1/2))^(1/2)-50209241/417182604363*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+189868 96/139060868121*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-10019362/ 7318993059*(147+42*7^(1/2))^(1/2)*7^(1/2), a[10,6] = -1481447342388326 6601905409943746686230786682310052081/77840916634128293736518897998797 53556886032496441451591136*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)+90193601081041005359254254304847048488926118006232957/648674 305284402447804324149989979463073836041370120965928*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-2015729790919034339882782552228313 152961391554211281/778409166341282937365188979987975355688603249644145 1591136*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2)+5367621147335831202110572988855241970840718092423513/52953004513 012444718720338774692201067251921744499670688*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+46 7928142900522216803735715016673924144442994570968933/92667757897771778 257760592855711351867690863052874423704*(147-42*7^(1/2))^(1/2)+2369045 5303936865653252032794104130875655308170307301/44127503760843703932266 94897891016755604326812041639224*7^(1/2)+13895614054092071765716299511 858544991575368504043579/661912556412655558984004234683652513340649021 8062458836*(147-42*7^(1/2))^(1/2)*7^(1/2)+2323273066916162290878698699 82722422938308698582183/7784091663412829373651889799879753556886032496 441451591136*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)-679254374160965466335691396424934344194742439282570 93/7784091663412829373651889799879753556886032496441451591136*(147+42* 7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-2199994246006306815384283 65788272777577808706581104179/9266775789777177825776059285571135186769 0863052874423704*(147+42*7^(1/2))^(1/2)-445986595762548533099274533560 00411758923542786019717/3706710315910871130310423714228454074707634522 11497694816*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+8584372341876449905319847823 591241967902915758022005/111201309477326133909312711426853622241229035 6634493084448*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+19109257123 7201739430634941323689750086957348448970047/64867430528440244780432414 9989979463073836041370120965928*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2) )^(1/2)+10212330301529062763275229017234100108584825308190501/11583469 737221472282220074106963918983461357881609302963*(147+42*7^(1/2))^(1/2 )*7^(1/2)+6851503078929056479399467207009449872282361013166745/1112013 094773261339093127114268536222412290356634493084448*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)-6691715611349588058631467777382160266123119 3143720419/4412750376084370393226694897891016755604326812041639224, a[ 7,5] = 175585925/252555664-32843525/47733020496*(147+42*7^(1/2))^(1/2) *7^(1/2)-52282675/3409501464*(147+42*7^(1/2))^(1/2)-20499575/227300097 6*7^(1/2)+7317529975/508138460188704*7^(1/2)*(81872+30130*7^(1/2)+1848 *(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-535 206235775/254069230094352*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+7820003047075/32012722 991888352*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^( 1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-636957235375/16 006361495944176*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), \+ a[10,8] = 157098178794931511461310715062572825340744306648323937706125 51450983266297361853739299841312836349875/6585587549441699048292794405 5742111484571920428076034763677546890167924041409653829232959687377529 98074*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+1224577921 6304423176197887607539945676971627492564284251744006067968338371321405 62789946625219515375/1493330510077482777390656327794605702598002730795 3749379518718115684336517326452115472326459722795914*(147+42*7^(1/2))^ (1/2)-1715330904914015474259126591431086362533238222175336978015883501 9165451653812194704121494604456066125/44799915302324483321719689833838 171077940081923861248138556154347053009551979356346416979379168387742* 7^(1/2)-39049652157308266523979951991628053496310016253618418974697009 731303218642501346129500389260855877875/447999153023244833217196898338 3817107794008192386124813855615434705300955197935634641697937916838774 2+23765923234158236881349958472079335015390703112739026542472633582715 12118202948508267801474654242875/1045331357054237944173459429456223991 81860191155676245656631026809790355621285164808306285218059571398*(147 +42*7^(1/2))^(1/2)*7^(1/2)-3931814575205920570810585619771431389758157 3500811284081374139281641340640741562736038366458430726125/94079822134 8814149756113486510601592636741720401086210909679241288113200591566483 274756566962536142582*(147-42*7^(1/2))^(1/2)*7^(1/2)-14383106022745837 1869046283189103588249297506954245011000344964188872521558888965875462 04318851043875/1343997459069734499651590695015145132338202457715837444 15668463041159028655938069039250938137505163226*(147-42*7^(1/2))^(1/2) +508588653538493012980466276788046504406790255105009572170149335501301 85724882237064131478251422982125/6585587549441699048292794405574211148 457192042807603476367754689016792404140965382923295968737752998074*(14 7+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+346381300596059576364007667 0175809235913024349701346298015332258218765181499464584032404782793662 5/18417742957622287587818094709466803665375367013142957568073085676010 6817047026242757492026336581149606*(147+42*7^(1/2))^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)-144663088265820888241616433387569625603658045738872295690441 4365148901110740294057346404812871264625/24863952992790088243554427857 7801849482567454677429927168986656626144203013485427722614235554384551 9681*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-57661519452098449175060828859383291 53036317235503658056510223180848658892396309935749574198952583125/2486 3952992790088243554427857780184948256745467742992716898665662614420301 34854277226142355543845519681*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+555706331930246044 2671239397898822565026522653505459723887040310635332239130867787856324 37678012875/2707408214770476275409259922291620138810178950932014762506 7435943735702105912857685351327871477428992082*(147+42*7^(1/2))^(1/2)* 7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-2913128267522255188796355049098558848511 2017191544251176089452780758128709018030381350618894851878875/10442860 2569718370622928597002676776782678330964520569410974395782980565265663 879643497978932841511826602*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)-6471067261822521304717274512329510387078232091876933869543082196958 3798987815175178372948428632627625/73100021798802859436050017901873743 7478748316751643985876820770480863956859647157504485852529890582786214 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+7381759153989034 6991378108879642438407359954006407757530849254061030500755593518325699 32779334041125/3655001089940142971802500895093687187393741583758219929 38410385240431978429823578752242926264945291393107*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+340866389056668138759 7641099315425145045439628158713621233662334273373979609337653099805711 099442625/731000217988028594360500179018737437478748316751643985876820 770480863956859647157504485852529890582786214*(147+42*7^(1/2))^(1/2)*7 ^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[8,7] = -1078413 1772279251149197187860815170493739744471507238390685583181211594570972 9/84987074650953539933368040298954024279183134561752546866710597602719 4078125000+73672328315057014436917171912805968299973946929316265575106 07299691709519383/4461821419175060846501822115695086274657114564492008 710502306374142768910156250*(147+42*7^(1/2))^(1/2)*7^(1/2)-12576550599 8242926031159383602038144394871580100983510311118444723192950103409/17 8472856767002433860072884627803450986284582579680348420092254965710756 40625000*(147+42*7^(1/2))^(1/2)+31784006673615517605100250129868444390 1039610182032191821815713412500128121791/59490952255667477953357628209 26781699542819419322678280669741832190358546875000*7^(1/2)-12113520487 41510079573903601797003784188871667998229267364268866665176634809/1983 0317418555825984452542736422605665142731397742260935565806107301195156 25000*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)+1215274561033311962964136666613609 266777413972218591555947447905304762963109/849870746509535399333680402 989540242791831345617525468667105976027194078125000*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)-416919597780473513801865897057465504964177739449886721129226462400 4043334417/53541857030100730158021865388341035295885374773904104526027 676489713226921875000*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848 *(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+609 6603286386249723020042976229775597904906337572071945100400782082557624 947/187396499605352555553076528859193623535598811708664365841096867713 996294226562500*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), \+ a[3,2] = 27185/9747+16360/204687*7^(1/2)-5710/68229*(147+42*7^(1/2))^( 1/2)-970/204687*(147+42*7^(1/2))^(1/2)*7^(1/2), a[9,1] = 2201442195535 42885001521879597/4143089561189736197168212943745-75341709194652618402 17609623/12429268683569208591504638831235*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+163996853894308222419120784613/174009761569968920281064943637290*(1 47+42*7^(1/2))^(1/2)-393812766805145617588888061086/290016269283281533 80177490606215*7^(1/2)+37188358191716092870461460579/42922407853925667 00266268609719820*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+4766175689110042112504 961151/68130806117342328575655057297140*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+14664540 375066088813704786887/12876722356177700100798805829159460*(147+42*7^(1 /2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+2813731379193624295707634743/16692047 49874887050103548903779930*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2), a[4,1] = 125/456+1/456*7^(1/2)-41/9576*(147+42*7^(1/2))^(1/ 2)-1/4788*(147+42*7^(1/2))^(1/2)*7^(1/2), a[8,6] = -616921968102172724 226973299936512092486082017735125978085528697240983689279189787121/325 1586380639455692827554135186290151726218403285907275789556041369881666 3537458593750*7^(1/2)+878936436643608291658972781125806898996384959844 602582866361364925862894494000321073/162579319031972784641377706759314 50758631092016429536378947780206849408331768729296875-5354418945994735 62855690905334517159783875219230195083667667165162036297866495148977/1 8208883731580951879834303157043224849666823058401080744421513831671337 3315809768125000*(147+42*7^(1/2))^(1/2)*7^(1/2)+7281783489412504603252 657294933476499735864755103070824169372031029758424100224773541/910444 1865790475939917151578521612424833411529200540372210756915835668665790 48840625000*(147+42*7^(1/2))^(1/2)+32731296559306531451602496882620838 39315129014838179010197294734328876650839586780901387/1071228629928907 3990906520547288529179058992005257355801943176587172247752169088658793 750000*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)-123425737131642473471408412346616 2690587990958485510509090293315827515308458877756968407/15303266141841 5342727236007818407559700842742932247940027759665531032110745272695125 6250000*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-3531891809334117884490697961589274777398 558076121845445934361026402799365469054705517/171396580788625183854504 328756616466864943872084117692831090825394755964034705418540700000*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+9408370696691301046964220579 0742338621858790835817435763099822790151213198442109694889/10712286299 2890739909065205472885291790589920052573558019431765871722477521690886 58793750000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[4, 3] = 125/152+1/152*7^(1/2)-41/3192*(147+42*7^(1/2))^(1/2)-1/1596*(147+ 42*7^(1/2))^(1/2)*7^(1/2), a[5,4] = -7391600435/52066568761-5518923/52 066568761*7^(1/2)+202379726/52066568761*(147+42*7^(1/2))^(1/2)+5866364 9/364465981327*(147+42*7^(1/2))^(1/2)*7^(1/2), a[3,1] = 856/204687*(14 7+42*7^(1/2))^(1/2)*7^(1/2)-20060/9747-15163/204687*7^(1/2)+4931/68229 *(147+42*7^(1/2))^(1/2), a[5,3] = 30778940933/3957059225836*7^(1/2)+45 9003115105/989264806459-330027166045/20774560935639*(147+42*7^(1/2))^( 1/2)-15330321823/20774560935639*(147+42*7^(1/2))^(1/2)*7^(1/2), a[6,1] = 1622395884629/8371203785442+6095751125/4185601892721*7^(1/2)-486728 725759/87897639747141*(147+42*7^(1/2))^(1/2)-3564315787/12556805678163 *(147+42*7^(1/2))^(1/2)*7^(1/2)+314904761/185561683910631*7^(1/2)*(818 72+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)+7689433315/79526435961699*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-5755 4150152/5010165465587037*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 16047777499/10020330931174074*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30 130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2), a[10,1] = -11333796059669508986918484634343/696039046279 875681124259774549160*(147+42*7^(1/2))^(1/2)+1024646572182257503423500 0511949/33144716489517889577345703549960+71304723592490095179127097619 91/696039046279875681124259774549160*(147-42*7^(1/2))^(1/2)*7^(1/2)-31 63710684228675411953492288687/4872273323959129767869818421844120*(147+ 42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-839479529879463849811 215065617/139207809255975136224851954909832*(147+42*7^(1/2))^(1/2)*7^( 1/2)+3779772328790539204517522704405/46402603085325045408283984969944* 7^(1/2)+19775092585358924849156543136937/69603904627987568112425977454 9160*(147-42*7^(1/2))^(1/2)-1252247990555646840959655367247/6960390462 79875681124259774549160*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+ 2413662911980037430074333346527/12876722356177700100798805829159460*7^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)+2430027242946650734584417850873/3679063530 336485743085373094045560*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-81600369148574653340398 763704/1931508353426655015119820874373919*(147+42*7^(1/2))^(1/2)*(8187 2+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/ 2))^(1/2))^(1/2)-3642132148263701242016234169619/540822338959463404233 549844824697320*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1 46916710174194734728553414458/1931508353426655015119820874373919*(8187 2+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/ 2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+137608349700081453107009579075 51/540822338959463404233549844824697320*7^(1/2)*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)* (147-42*7^(1/2))^(1/2)-923088713088538746304952886061/1802741129864878 01411183281608232440*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)-9163582274257494418197866053/6438361178088850050399 402914579730*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2), a[5,1] = 814575217354/2967794419377+13054629167/11 871177677508*7^(1/2)-639063386975/124647365613834*(147+42*7^(1/2))^(1/ 2)-16107087271/62323682806917*(147+42*7^(1/2))^(1/2)*7^(1/2), a[9,7] = 230577215869981920188634791599547161/24829589195312179935504431906821 38715-28602292051593186030117879352009568/5214213731015557786455930700 4324913015*(147+42*7^(1/2))^(1/2)*7^(1/2)+6657239863986489741790011386 2091081/7448876758593653980651329572046416145*(147+42*7^(1/2))^(1/2)+1 80169271369741701884489309569703377/1738071243671852595485310233477497 1005*7^(1/2)+2999715894387136714332422137531863/3476142487343705190970 6204669549942010*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-39026263439821784967939 4198222136/2482958919531217993550443190682138715*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) -428766133903138353136983169905606/17380712436718525954853102334774971 005*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^ (1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+401499923459048686617 9445367676427/364994961171089045051915149030274391105*(147+42*7^(1/2)) ^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[7,6] = -1474575388997848375/59 173680805362055368+1199033592053976275/177521042416086166104*7^(1/2)+5 22211257095714275/88760521208043083052*(147+42*7^(1/2))^(1/2)+33649098 0823466425/1242647296912603162728*(147+42*7^(1/2))^(1/2)*7^(1/2)+11325 0225815580960475/261089073133458728797458*7^(1/2)*(81872+30130*7^(1/2) +1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )-14196169090862512210625/4177425170135339660759328*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+749989145463651687875/1392475056711779886919776*(147+42*7^(1/2))^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)-24403249357910073775/1547194507457533207688 64*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[14,2] = 0, \+ a[15,12] = 0, a[15,11] = 0, a[13,2] = 0, a[12,2] = 0, a[11,2] = 0, a[1 0,2] = 0, a[15,10] = 0, a[15,9] = 0, a[9,2] = 0, a[6,2] = 0, a[8,2] = \+ 0, a[7,2] = 0, a[15,8] = 0, a[5,2] = 0, a[15,6] = 0, a[15,3] = 0, a[15 ,4] = 0, a[4,2] = 0, a[13,3] = 0, a[12,3] = 0, a[11,3] = 0, a[10,3] = \+ 0, a[11,4] = 0, a[9,3] = 0, a[8,3] = 0, a[7,3] = 0, a[12,4] = 0, a[6,3 ] = 0, a[9,4] = 0, a[10,4] = 0, a[8,4] = 0, a[12,5] = 0, a[17,2] = 27/ 40, a[16,1] = 1/10, a[11,5] = 0, a[10,5] = 0, a[9,5] = 0, a[17,4] = 0, a[12,10] = -3587/511560*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2 ))^(1/2)-10051/10440*7^(1/2)-433/609*(147-42*7^(1/2))^(1/2)+51283/2192 40*(147+42*7^(1/2))^(1/2)*7^(1/2)-97697/109620*(147+42*7^(1/2))^(1/2)+ 2647/36540*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1427/24360*(1 47-42*7^(1/2))^(1/2)*7^(1/2)+7147/1044, a[11,8] = 22040738916508414917 9976992642703609090254268013775094116815972284039140837837612275054351 441745349822748125/164959855701878274175178367602942940288628651940272 75463015803966138500407824949702983786688148172986030779498694*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1 6378938560845411777642885744456339616606142051452903289788938691670866 1609891331427862711838348718734970125/78552312238989654369132556001401 4001374422152096536926810276379339928590848807128713513651816579666001 465690414*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-222693050322897 6159131221712573395690850519343726406306608527146724666643756784719354 776957322257131447614125/164959855701878274175178367602942940288628651 94027275463015803966138500407824949702983786688148172986030779498694*( 147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-419007910638938411 9444764208110943843775816042910541789139548183066012054129557652271632 90835877181093613875/2749330928364637902919639460049049004810477532337 879243835967327689750067970824950497297781358028831005129916449*7^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+68051710491719967047053 2693166904124944992434973008005852409888570117709319963310904164936334 4588473714375/23565693671696896310739766800420420041232664562896107804 30829138019785772546421386140540955449738998004397071242*(147+42*7^(1/ 2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+199400824092562 6918223248869727943503684618256240315133800154439848612488829934845691 43682761881598511882125/1178284683584844815536988340021021002061633228 144805390215414569009892886273210693070270477724869499002198535621*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1882257666322422763215157145 8647925050016657306558804938177129536777544070526457615062326711291807 8135602375/14861248261430475150916970054319183809786365039664212128843 0666361608111782206754080935015208542098973250265754*(147+42*7^(1/2))^ (1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-761333102743415883426253902390234 7824787774048625217780052469896182800066202430071363812390156782386703 8125/10109692694850663367970727928108288305977119074601504849553106555 21143617566032340686632756520694550838437182*(147-42*7^(1/2))^(1/2)*7^ (1/2)+5216622371036646503828431676461622141548296717391561033064368620 983081480823799574416201935718465119831629375/148612482614304751509169 7005431918380978636503966421212884306663616081117822067540809350152085 42098973250265754*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-202752 0528713456286449690790834021230175514268512433446883312904143296842175 090894650973725204359219570500/561087944564211816922375400010010000981 7301086403835191501974138142347077491479490810811798689854757153326360 1*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)+1325477917828241177311864892528497125336288156 85576233023794687281919596634280317847237720963195106787220875/1122175 8891284236338447508000200200019634602172807670383003948276284694154982 9589816216235973797095143066527202*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+34056 1013468019896075156083011071031722987624508447332630992508208521805502 8538774545404710665811959484698125/10109692694850663367970727928108288 3059771190746015048495531065552114361756603234068663275652069455083843 7182-72837297999471370519706443255095933662449130201892751107847431732 79238821217141574545344404771578588576186875/2123035465918639307273852 8649027405442551950056663160184061523765944015968886679154419287886934 585567607180822*(147+42*7^(1/2))^(1/2)-2950661037511419049813292677524 0080680180572818855882925169651966656854730568330528366831667736592319 36892125/7076784886395464357579509549675801814183983352221053394687174 588648005322962226384806429295644861855869060274*(147-42*7^(1/2))^(1/2 )+13474022906676455371920085625307798862154541952066125518687807685251 23922728334315928482768053318547044489625/2123035465918639307273852864 9027405442551950056663160184061523765944015968886679154419287886934585 567607180822*(147+42*7^(1/2))^(1/2)*7^(1/2)-82056868194731864151356325 9967919137732367238304201981737313867164085401766176630459432964685872 48680680875/1010969269485066336797072792810828830597711907460150484955 310655521143617566032340686632756520694550838437182*7^(1/2), a[13,7] = -49520698440592458113217331127982736199619/52722653105541976631451400 6223063970465670*(147+42*7^(1/2))^(1/2)*7^(1/2)-9005369432423751418079 6150888873769123/105445306211083953262902801244612794093134*7^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+205396131188900390373936168 999155512157/2214351430432763018520958826136868675955814*(147+42*7^(1/ 2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-303297448182139 35363802431839963663789/527226531055419766314514006223063970465670*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+36219195025598038192 9398388914842469323/263613265527709883157257003111531985232835*(147+42 *7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+43681354859820501381460658054272 007612/790839796583129649471771009334595955698505*(147+42*7^(1/2))^(1/ 2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-46363600883267 95195182763712179456588187/527226531055419766314514006223063970465670* (147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-3775321902544322 60836071077520078081534/263613265527709883157257003111531985232835*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1894292585307834629508110195 934081020109/75318075865059966616359143746151995780810*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)+401431249025484283632462248618264503917/26361326552770988315725 7003111531985232835*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-13853016224722512178 930135011942749308223/527226531055419766314514006223063970465670*(147+ 42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+87682067917450173873978992795 173519424007/527226531055419766314514006223063970465670*(147-42*7^(1/2 ))^(1/2)*7^(1/2)-12770884700384986336129302197442275484261/75318075865 059966616359143746151995780810*(147+42*7^(1/2))^(1/2)+2112819197033403 08383552192089947471936283/527226531055419766314514006223063970465670* (147-42*7^(1/2))^(1/2)+28879342109344125784502828162882699840397/75318 075865059966616359143746151995780810*7^(1/2)+3708649376500925542597484 02988888269033389/75318075865059966616359143746151995780810, a[13,9] = 5415066020502933970307829556334509/1707401806077858457438839893689552 32*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+48855303443153 4823283453635766699/5887592434751236060133930667895008*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)*(147-42*7^(1/2))^(1/2)-1645195401863094082907956183660465/17074 0180607785845743883989368955232*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)-5119584500402407597869114628918663/17074018060778584574 3883989368955232*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-87608588 4746255039598329445525515/170740180607785845743883989368955232*(147+42 *7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-237858776 2953971472468077930900747/1195181264254500920207187925582686624*(147+4 2*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)- 48303823384563675603676595904263195/2845669676796430762398066489482587 2*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-21368903020068 0816822835452223852283/28456696767964307623980664894825872*(147+42*7^( 1/2))^(1/2)*7^(1/2)+3984707530030969729621310525930551/243914543725408 35106269141338422176*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1296467412484481967 65191168156483535/28456696767964307623980664894825872*(147+42*7^(1/2)) ^(1/2)*(147-42*7^(1/2))^(1/2)+778929275012406489541059977532793399/284 56696767964307623980664894825872*(147-42*7^(1/2))^(1/2)*7^(1/2)+112815 56232606709991567019703208353/24391454372540835106269141338422176*(818 72+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)+1205159370986197861232360146627807597/40652423954234 72517711523556403696+479806346744331012645326917933262329/406524239542 3472517711523556403696*7^(1/2)+296265236166916062635185238695503127/40 65242395423472517711523556403696*(147-42*7^(1/2))^(1/2)-72720140832570 636163904219193423875/4065242395423472517711523556403696*(147+42*7^(1/ 2))^(1/2), a[14,8] = -507860977602985456148679245953171578984123159634 6652519930732008156620358744570964381931824796620930306895126875/94705 6973669090914039293357007189562589367979452633853081485384728713523231 33673258299819925878474252921281447787*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)-193875530718048050832492356577036184183796013749 8703117345594584093443027925675014628576248029131117773207459875/13529 3853381298702005613336715312794655623997064661979011640769246959074747 33381894042831417982639178988754492541*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7 ^(1/2))^(1/2)+33093891873262006770556517828382427570710577952804572233 648371525699906893302888792757227328075659887712291250/130929535530289 0664570451645632059303118941907077373990435233250777023304006456312326 725621095094114095685918633*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)+50650121332794306778169013728900297267805733832625885872703 5793494396988521040175085372933893896415025916381250/91650674871202346 5199316151942441512183259334954161793304663275543916312804519418628707 9347665658798669801430431*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) +255556347790955172388867307427368794706086076872820176614274348910553 0273210110870039846952836898320525245667875/28411709210072727421178800 7102156868776810393835790155924445615418614056969401019774899459777635 422758763844343361*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)+65844114163224300920797494677651521844544741784470790 47626717983656282026771161064748672762580867362272454591250/1988819644 7050909194825160497150980814376727568505310914711193079302983987858071 38424296218443447959311346910403527*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+4813407664041889255822976169 4474852194301033031046641628622653674961573513352966340695742330584884 245896290923375/179172940964422605358785229704062890219610158274822620 85325399170543228817890154400218884850841873507309431625257*(147+42*7^ (1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+95645860438036783564435536 3244302587221657366137499706851120413863256239884991654438399226746345 648512489179875/825681755596417536215600136885082443408341743201947561 53573268067019487640046794471054768897888818006034247121*(147+42*7^(1/ 2))^(1/2)*7^(1/2)-1376079947787595900227894049696476725454396308460199 46547388071725991791771970335372513430807980646298745654500/1454772617 0032118495227240507022881145766021189748599893724813897522481155627292 3591858402343899346010631768737*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-5225171391093490 4126246971320103946281799964642399221505758828843039651384999557454332 26553287527222013200524375/1218863543975663982032552583020835987888504 47806001782893370062384647815087688125171557039801645398008907698131*( 147-42*7^(1/2))^(1/2)*7^(1/2)-1371316850314336854855836292443929915469 6830806117657003107266504997374933352750689401761351131623629292252509 500/121886354397566398203255258302083598788850447806001782893370062384 647815087688125171557039801645398008907698131*(147-42*7^(1/2))^(1/2)+1 7805599914777371077347378172156757646948887237686983558319955117700307 292405342513659022666474371837761084802000/255961344234889436226836042 4343755574565859403926037440760771310077604116841450628602697835834553 358187061660751*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-55866338 7338645606047338705411812585195225736251876582049006640421647654245210 27270096183262100850998748434875/1454772617003211849522724050702288114 5766021189748599893724813897522481155627292359185840234389934601063176 8737*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-29430969132251338906780844974918816 9157604048961880560994267046488617174939735592574267992728564578799899 356125/131060596126415481938984148711917848160054244952690089132655981 0587610914921377690016742363458552666762448367*7^(1/2)+603442870788924 9496258719567031114439241662880705535566820623663921559958877086891156 41669631918784787343276750/1179545365137739337450857338407260633440488 2045742108021939038295288498234292399210150681271126974000862035303*(1 47+42*7^(1/2))^(1/2)-9398779555805430538444945899086991711109805673946 03337599893410464716919008772558475905499403866739921901330500/1310605 9612641548193898414871191784816005424495269008913265598105876109149213 77690016742363458552666762448367, a[14,9] = 19336146215503112509125039 60699361505747477/3410915513790481115718871768652941008280-28832780929 2227796553812780793256866441457/76745599060285825103674614794691172686 30*(147+42*7^(1/2))^(1/2)-301787421411708536315480176200687135345262/2 6860959671100038786286115178141910440205*(147+42*7^(1/2))^(1/2)*7^(1/2 )+667393248823155680146496841077873458000601/3410915513790481115718871 768652941008280*7^(1/2)+14867284312219678160590614284212428817304669/1 58607571391257371880927537242361756885020*(147-42*7^(1/2))^(1/2)-14115 6047776416387884996780861298336113119/63443028556502948752371014896944 702754008*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+789465 0187691718101758116020263459649027779/22205059994776032063329855213930 6459639028*(147-42*7^(1/2))^(1/2)*7^(1/2)-1295050496312787790292752571 7628428944882789/2220505999477603206332985521393064596390280*(147+42*7 ^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+147007730291811639688214793306746 6513437/5116373270685721673578307652979411512420*7^(1/2)*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+14315913056428612452276149479062322453003/2046549308274288669 4313230611917646049680*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-4355845781001921908140975 2656982408241/2302367971808574753110238443840735180589*(147+42*7^(1/2) )^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+13271049607218030788410475524032 3849138469/3330758999216404809499478282089596894585420*7^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-89776318791817122968546171432383 700263427/13323035996865619237997913128358387578341680*(147+42*7^(1/2) )^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-74494590091637201 86710059276586925675469/184189437744685980248819075507258814447120*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+2033182319830215215662598543 49962873483809/1903290856695088462571130446908341082620240*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)-114799243978464282946264739770399518 770119/46630625989029667332992695949254356524195880*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), b[1] = 1/30 , a[12,6] = -4399905759276946806862699272467513566212764680915163/2882 99691237512199024144066662213094699482685053387095968*(147+42*7^(1/2)) ^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+290440747243649967 949882892689278247230788962020788911/432449536856268298536216099993319 6420492240275800806439520*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+2023182005735574636953955816149771737134032467940879231/19460 229158532073434129724499699383892215081241103628977840*(147+42*7^(1/2) )^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-3140708083268286841966905382453 145234601400786064687/294183358405624692881779659859401117040288454136 10928160*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+42640943 7912466485861902736936915500591455842554505701/18533551579554355651552 11857114227037353817261057488474080*(81872+30130*7^(1/2)+1848*(147+42* 7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2)+73217027948225169796605064678697417356659697452955859/61778 5052651811855051737285704742345784605753685829491360*(147+42*7^(1/2))^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)-149929961231832056024232324569454830429835 021100449187/389204583170641468682594489993987677844301624822072579556 80*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+35204772438897419231354619498893568939162683089573063/2941833 5840562469288177965985940111704028845413610928160*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)-372182654830750673271256622275672028586582639534730259/30889 2526325905927525868642852371172892302876842914745680*(147+42*7^(1/2))^ (1/2)*7^(1/2)+556253813587861357774658434494052898983717369863529781/3 892045831706414686825944899939876778443016248220725795568*(147+42*7^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)-127898789440682099978558242887629677 64045016550713827/9266775789777177825776059285571135186769086305287442 37040*(147-42*7^(1/2))^(1/2)*7^(1/2)-625029537714518862233508875657908 03421334270308087381/8825500752168740786453389795782033511208653624083 2784480*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-2332429420210387480756846499203766037803 21666245907075/1853355157955435565155211857114227037353817261057488474 08*(147-42*7^(1/2))^(1/2)+16562954029049659894728101178180898338983763 96016811843/308892526325905927525868642852371172892302876842914745680* (147+42*7^(1/2))^(1/2)+15474237148277612485067783089788403278859734856 39141837/44127503760843703932266948978910167556043268120416392240-5848 953645085719177496358013787553625817149039472755157/308892526325905927 525868642852371172892302876842914745680*7^(1/2), a[11,10] = -168597751 1/18955709640*(147+42*7^(1/2))^(1/2)*7^(1/2)+2284927279/398069902440*( 147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-362337631/2843356 4460*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-924299009/189557096 40*(147-42*7^(1/2))^(1/2)*7^(1/2)+284775197/1353979260*(147+42*7^(1/2) )^(1/2)+240369427/4738927410*(147-42*7^(1/2))^(1/2)+60985271/100294760 *7^(1/2)-65249453/50147380, a[17,8] = -8764319351457415464074152260445 3577301283208261713092881913283217670928888959308585037472017910861428 2875/10781846282759425652760538686677053172757579716342607052012514479 524090965509698427371019703919858649908*7^(1/2)+9900974736444068369033 7980271980266804805049384761137663671025615705007958733404299066784449 9204362709125/75472923979315979569323770806739372209303058014398249364 087601356668636758567888991597137927439010549356*(147+42*7^(1/2))^(1/2 )+64414592839321226625750082301922734574253435166754163020878438736803 776543793787914144146027897759293875/323455388482782769582816160600311 5951827273914902782115603754343857227289652909528211305911175957594972 4*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-2760439631387824508185 8366170497049578160222885393221598065973351952057034861942288066862514 64019064963125/2264187719379479387079713124202181166279091740431947480 92262804070005910275703666974791413782317031648068*(147-42*7^(1/2))^(1 /2)*7^(1/2)-2288693817015524977562634243938125127847450320768608667437 016943030325595522195586125055925240122707008625/107818462827594256527 6053868667705317275757971634260705201251447952409096550969842737101970 3919858649908+17249096557317929067939149322902743250435633267862713744 3232961973787960343477279261509883878308291523875/22641877193794793870 7971312420218116627909174043194748092262804070005910275703666974791413 782317031648068*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+ 3857585415236055279657264348670579574630598193682226359036328648895591 53181428661490500720743800033453375/7547292397931597956932377080673937 2209303058014398249364087601356668636758567888991597137927439010549356 *(147+42*7^(1/2))^(1/2)*7^(1/2)-10381315629299485559789722574117529763 87852222208288569755855467228098781565361363808920121770986095224625/3 2345538848278276958281616060031159518272739149027821156037543438572272 896529095282113059111759575949724*(147-42*7^(1/2))^(1/2)+1020900502788 3352517972275816107814940156045017135077881729172726480317521885083277 053940359189666809375/139624909361734562203248975992467838587210657326 6367613235620625098369780033505946344547051657621695163086*(147+42*7^( 1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3278501104249116210862503049 2466901823537881702808776361346436852379622210035632071987183343044572 5411125/27924981872346912440649795198493567717442131465327352264712412 50196739560067011892689094103315243390326172*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)-12384455199249124698480359113247465717627824628151486044451401298 5013035930451066632518108778226813173375/39892831246209874915213993140 7050967392030449504676460924463035742391365723858841812727729045034770 046596*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)+89899746249221595463506869461151409912332 32713566083183444064332943290688056213051013294130202622375125/4654163 6453911520734416325330822612862403552442212253774520687503278992667783 5315448182350552540565054362*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)-506507182258081045538553666318905558463121834734677623714293132898 705620110992944068637426654661486748375/125662418425561105982924078393 2210547284895915939730851912058562588532802030155351710092346491859525 6467774*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+44207631653996784 2248962045874092748309654146566174028073308324942178515106321676544854 014950099896972875/175927385795785548376093709750509476619885428231562 319267688198762394592284221749239412928508860333590548836*(147+42*7^(1 /2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+16632171807322 9703531871109776970287115793737334314162133591524248415846129083691768 131049898143601402875/175927385795785548376093709750509476619885428231 562319267688198762394592284221749239412928508860333590548836*(147+42*7 ^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2) *7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-191 1137060744190645351405208293153889155283091745675698271733393938422804 54276891501662253277984198657125/1256624184255611059829240783932210547 2848959159397308519120585625885328020301553517100923464918595256467774 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[13,8] = -3333 0652109591854257665618128990884825859360368789757365597014347809235462 742961690338766373549932832729375/226493438463451812846840845236607846 913039074179734516839160397660584331958290299235368775414615645627638* 7^(1/2)-78973158967156413086269165673045694212680671641870211772521936 086037310066172304671166070597346412322414375/226493438463451812846840 8452366078469130390741797345168391603976605843319582902992353687754146 15645627638+1068473253803194017776391536062802213419732123129067510648 8510848189454416453587103145734535424972441614375/52848468974805422997 5961972218751642797091173086047205958040927874696774569344031549193809 300769839797822*(147+42*7^(1/2))^(1/2)+5195839288509900767672938515743 2200724323181712706648775468290013509965178758737430557042147397782730 49375/5284846897480542299759619722187516427970911730860472059580409278 74696774569344031549193809300769839797822*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+2922199307100985419744645490355114148431420945384196184111009801432 004873220580125687906126613151403839375/528484689748054229975961972218 7516427970911730860472059580409278746967745693440315491938093007698397 97822*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-520068844213387874 3353316037343209843118230463728324609401828559165022339665790813358507 0151731894648185625/15854540692441626899278859166562549283912735192581 41617874122783624090323708032094647581427902309519393466*(147-42*7^(1/ 2))^(1/2)*7^(1/2)-1991535128004594839176702156560610225412939858908845 4159195626928657755446630847035557822384021729235721875/22649343846345 1812846840845236607846913039074179734516839160397660584331958290299235 368775414615645627638*(147-42*7^(1/2))^(1/2)+2244004213803633539710846 9682183914844572400345330513229840314172868429548990731092125993717697 949381689375/110981784847091388294952014165937844987389146348069913251 18859485368632265956224662533069995316166635754262*(147+42*7^(1/2))^(1 /2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+11774704701489419023827287162644757 7998903836647836490620904199399026801345971417857794591601867522888250 0/29330900281017009763665889458140716175238560106275619930671271497045 670988598593750980256416192726108779121*(147+42*7^(1/2))^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)-1950594647022740724994118670253906478979206963979537258 4443474511413695128011346217864225960708529204079375/87992700843051029 2909976683744221485257156803188268597920138144911370129657957812529407 69248578178326337363*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1553191271466882351 5262768330328367652681241550425421619918415000056837169200531976058714 800680713939118125/251407716694431512259993338212634710073473372339505 31369146804140324860847370223215125934071022336664667818*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+7732922233477238177935845343122365418888890108070676599752354 77039318089502880963159912645128899565931875/5866180056203401952733177 8916281432350477120212551239861342542994091341977197187501960512832385 452217558242*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+8495 1278752823003645638842450715073713078275761509143503803446174985934666 48765089946941014616224675319375/1231897811802714410073967357241910079 3600195244635760370881934028759181815211409375411707694800944965687230 82*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) -748434790089694151069999033495657263706521054400078493989780203987707 2602646490649819626562844055109253125/17598540168610205858199533674884 4297051431360637653719584027628982274025931591562505881538497156356652 674726*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-3385061154 5875700597689072506270540659338942757265665214793239898096911534176143 3344941265789439868651875/30342310635534837686550920129111085698522648 38580236544552200499694379757441233836308302387882006149184047*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+16420587943877497793335616434499 5662149010621805896959694549229406107153765074029540371739817662944602 1250/61594890590135720503698367862095503968000976223178801854409670143 7959090760570468770585384740047248284361541*(147+42*7^(1/2))^(1/2)*7^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[17,7] = 404390134 2383228308395039687453073147370883/93838689912146079439871319045337229 84847935*7^(1/2)-2144578900721400402377081449804436920936027/225212855 78915059065569116570880935163635044*(147+42*7^(1/2))^(1/2)-15041667772 12807179168230733174012709363/1915354510526381560224811877292201804751 00*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+198245491793110949623 6403920729272449019/38307090210527631204496237545844036095020*(147-42* 7^(1/2))^(1/2)*7^(1/2)+539559928653014942135812451372130333907389803/3 75354759648584317759485276181348919393917400-6252634681623844691650299 79874221400621/191535451052638156022481187729220180475100*(147+42*7^(1 /2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-3531335921442922222363053296 16669724740493991/7882449952620270672949190799808327307272265400*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+30001499987379172340172286656447860934981/19 1535451052638156022481187729220180475100*(147-42*7^(1/2))^(1/2)+692505 53017293697263697480024938743986/5458760355000187446640713850282775143 54035*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-67836728243 18873139551111184473062279767/3639173570000124964427142566855183429026 900*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)-315397589167271582824605083423521320 4863/519881938571446423489591795265026204146700*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 309501006544629622964331504603433099703/109175207100003748932814277005 6555028708070*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-12790055199 97879453153458968959488192001/1819586785000062482213571283427591714513 450*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+114548917262290483419 6531778637598013911/25474214990000874750989997967986284003188300*(147+ 42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+8130356 490281433441189837023011502833/519881938571446423489591795265026204146 700*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-211264978667486760246953350172590563638/90979339250003124110 6785641713795857256725*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2), a[17,9] = 188315637603819638150391103972700383/2806027733743544 127904130026504272*7^(1/2)-76456943114158903845847909693650133/7015069 334358860319760325066260680*(147+42*7^(1/2))^(1/2)-4902733243012764226 27128135722784019/294632912043072133429933652782948560*(147+42*7^(1/2) )^(1/2)*(147-42*7^(1/2))^(1/2)+2986886169169898547643753775455722451/2 94632912043072133429933652782948560*(147-42*7^(1/2))^(1/2)*7^(1/2)+309 588054946937600539921291753836571/1753767333589715079940081266565170-9 312339288521768766760415423296157/14731645602153606671496682639147428* (147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-2051758072960263 79539671651497061293/49105485340512022238322275463824760*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+1126000531352093678483969696927760379/42090416006153 161918561950397564080*(147-42*7^(1/2))^(1/2)-6409665123082146215715728 894484241/1178531648172288533719734611131794240*(147+42*7^(1/2))^(1/2) *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)+14715690305986846821871468007695513/168 361664024612647674247801590256320*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+388763 40238064402546057790486410833/168361664024612647674247801590256320*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)-16837302320018628200187223424362681/117853164817228 8533719734611131794240*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+10 6203200290573611973889280123603359/35355949445168656011592038333953827 20*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-2208536653725465208818 968593451983/1178531648172288533719734611131794240*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-581797757149744245870 3687801410809/8249721537206019736038142277922559680*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+400589828145 03612334272189908895443/3535594944516865601159203833395382720*7^(1/2)* (81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42* 7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[12,1] = 11306485259801 5269323324654681097/2301716422883186776204562746525-602056716597009283 70046964683616/261014642354953380421597415455935*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(147-42*7^(1/2))^(1/2)+1429089476656159257236395481939996/14 5008134641640766900887453031075*(147-42*7^(1/2))^(1/2)-224681834794872 74027241517444025731/36542049929693473259023638163830900*(147+42*7^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2)+718167250498730460038390808682397/193 344179522187689201183270708100*(147-42*7^(1/2))^(1/2)*7^(1/2)-71053934 4607465011104404413394501/248585373671384171830092776624700*(147+42*7^ (1/2))^(1/2)-575318781936872721594709040437838/43502440392492230070266 2359093225*(147+42*7^(1/2))^(1/2)*7^(1/2)+3877109435524240876068434239 374893/193344179522187689201183270708100*7^(1/2)-748924237576035574863 8662729847/1480083029445712655264230555075800*(147+42*7^(1/2))^(1/2)*( 81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)+107729668392273112711204852421059/306588627528040 4785904477578371300*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+88531495559579359035 788784177901/1021962091760134928634825859457100*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)- 7980649584304093548921627520409/3453527068706662862283204628510200*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-24239599865650116781 49323499583569/2704111694797317021167749224123486600*(147+42*7^(1/2))^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+8105732029202158164 14985359399399/150228427488739834509319401340193700*7^(1/2)*(81872+301 30*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+230884447487826149133191476698217/1 6095902945222125125998507286449325*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-301486904191776681651429743100161/90137056493243900705591640 8041162200*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2), a[11,9] = 43674167047421382343853974703313262559/272 182397158770721277842629971585246160*(147+42*7^(1/2))^(1/2)-1648219300 76349475718496618018738391267/90727465719590240425947543323861748720-1 019854636360899785613515578352301593/381055356022279009788979681960219 344624*(147+42*7^(1/2))^(1/2)*7^(1/2)-18449416379421421945549139397789 349507/90727465719590240425947543323861748720*7^(1/2)+5184981466459186 8639934387360561015121/635092260037131682981632803267032241040*(147-42 *7^(1/2))^(1/2)*7^(1/2)+26408607824887962464219447679995631527/9072746 5719590240425947543323861748720*(147-42*7^(1/2))^(1/2)-139883099709090 60144320936796534579043/635092260037131682981632803267032241040*(147+4 2*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-189755644368651374222715866025 32770363/4445645820259921780871429622869225687280*(147+42*7^(1/2))^(1/ 2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-763661729216987298207767665084810349 /762110712044558019577959363920438689248*7^(1/2)*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) +9449923063439468435029061294071819/1877119980405315319157535379114381 0080*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)+1299720036825390282724368675803728463/11431 660680668370293669390458806580338720*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-1708872736425106175519556377987043811/114316606806 68370293669390458806580338720*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)-5685169398024589299609536125739993/889129164051984356174285924573 8451374560*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+459876492140483870800791251073190307/381055356022279009788979 6819602193446240*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+ 484979039951718773153469476659999289/381055356022279009788979681960219 3446240*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-96856518248001844 287373540806798383/8891291640519843561742859245738451374560*(147+42*7^ (1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)* 7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[1 2,9] = -9498732829925792146099807115820629/816157651088842474875162473 082960*(147+42*7^(1/2))^(1/2)+2343061758021957196009469354068817/12954 883350616547220240674175920-639722454357118804344978916679953/16323153 0217768494975032494616592*(147+42*7^(1/2))^(1/2)*7^(1/2)+8464629685945 66076584796431129139/12954883350616547220240674175920*7^(1/2)+10793661 660552818460957956436836393/816157651088842474875162473082960*(147-42* 7^(1/2))^(1/2)*7^(1/2)+3168958603011575888006839317688347/906841834543 15830541684719231440*(147-42*7^(1/2))^(1/2)-53208735209122036461634766 73427339/2448472953266527424625487419248880*(147+42*7^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2)-2018072192179788459102970532003279/244847295326652 7424625487419248880*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1 /2)-847590988231782551488083324745/139912740186658709978599281099936*( 147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-142603770013493289 92052129298201/979389181306610969850194967699552*(147+42*7^(1/2))^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)+18748740954165629228976352924831/7772930010369 9283321444045055520*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1717083751243706586626024640 9533/181368366908631661083369438462880*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1 0500300639161790683679540194971/699563700933293549892996405499680*7^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+391003721618921222866 82046969551/979389181306610969850194967699552*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)-6379975877854660443865768473511/68557242691462767 88951364773896864*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) *(147-42*7^(1/2))^(1/2)-17111311415275680783742391174921/6855724269146 276788951364773896864*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848 *(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2), a[14,1] = -82702590360406913700772149884505347462 93617228873/1080266692045515636853658419769050466750361594450*(147+42* 7^(1/2))^(1/2)-9584982663585012177145754418857932522197542368871/21605 33384091031273707316839538100933500723188900*(147+42*7^(1/2))^(1/2)*7^ (1/2)+327092625517102605299935902538819504565314667429/514412710497864 5889779325808424049841668388545*7^(1/2)+245956832848336252778724074822 1589805682823966699/17147090349928819632597752694746832805561295150+29 91085618948504666605818488635151358100353/1127203208194075293249509338 73198247042225*(147-42*7^(1/2))^(1/2)+31417865388019433956420617845269 831541971757/3156168982943410821098626148449550917182300*(147-42*7^(1/ 2))^(1/2)*7^(1/2)-3933524681478410789453010851961100940548531/23671267 37207558115823969611337163187886725*(147+42*7^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)-40810206913128570841279324367964792729697669/6627954864181 1627243071149117440569260828300*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42 *7^(1/2))^(1/2)-2254554158453114723216721038037946375106257/3002869346 62901658121669287838200130120487400*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)-27604188994438017026705535611684717713887409/210200 8542640311606851685014867400910843411800*(147+42*7^(1/2))^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)+24581212673064914602903465297128822534350939/100095644 887633886040556429279400043373495800*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+21639151888 92815501443376971204578758983087/2001912897752677720811128585588000867 4699160*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-50768830125024770047494086712229 21506879343/2102008542640311606851685014867400910843411800*(147+42*7^( 1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+1004422106429 6510407962781337245505346504257/70066951421343720228389500495580030361 4470600*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+538148614 4350887480539492724737125694666743/14013390284268744045677900099116006 0722894120*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-12992753463945 273687832886568128588835988393/147140597984821812479617951040718063759 03882600*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2), a[11,1] = 12254269034807874155163817098130103/34586340 2186231788883244967628131740*(147-42*7^(1/2))^(1/2)*7^(1/2)+7249213408 0550270753472172812120493/2579152799160185625672198187169782404*(147+4 2*7^(1/2))^(1/2)*7^(1/2)+5039904819574000064469612903651823501/6447881 9979004640641804954679244560100-1436914119827665003961451289151086849/ 1354055219559097453477904048264135762100*(147+42*7^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)-125571300334149436881596630721928921289/4513517398530 32484492634682754711920700*7^(1/2)-14286675388009664365771783052185245 371/451351739853032484492634682754711920700*(147+42*7^(1/2))^(1/2)-276 62494438295342771871355958014534651/9478386536913682174345328337848950 334700*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+238554139 2482560104722834281364348449/50150193317003609388070520306079102300*(1 47-42*7^(1/2))^(1/2)-591818245021487475280014676663848013/715714901766 9515111240349969396146171100*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+18208835369636227794410606483227919981/350700301865806240450777148 500411162383900*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3 9560370431559469855453802592481454279/10020008624737321155736489957154 6046395400*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^ (1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+45071347224964856824764050004 09880603/14314298035339030222480699938792292342200*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)+1863828584843342843486552237151202711/10521009055974187213523314455 01233487151700*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+4 2*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^ (1/2))^(1/2)+514073790831815687206491498260619553/11133342916374801284 151655507949560710600*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)+431424240030355878737496438748865701/1113334291637480128415165550 7949560710600*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-11725655784 57734395309702862038230749/263025226399354680338082861375308371787925* (147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2), a[12,7] = -345878185669306980145299984347883814079/504040660664 8372526907399677084741591450*(147+42*7^(1/2))^(1/2)-984160125609004050 24964627696597035337/21169707747923164613011078643755914684090*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-11758736772135001171837 04218920258635197/105848538739615823065055393218779573420450*(147+42*7 ^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+114638814063720355670625126120252 8742673/15121219819945117580722199031254224774350*(147-42*7^(1/2))^(1/ 2)*7^(1/2)+3952209319425366313358686448641420361589/504040660664837252 6907399677084741591450*7^(1/2)-269687435965884859417444767096607365529 /5040406606648372526907399677084741591450*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+2872779058468639347983457302270191606217/15121219819945117580722199 031254224774350*(147-42*7^(1/2))^(1/2)+8541695582176914901619454842277 54706347/720058086664053218129628525297820227350+608540573059068872298 3983900956716859/17641423123269303844175898869796595570075*(147+42*7^( 1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-9195166169288373416570172102 82512151/720058086664053218129628525297820227350*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) -2720559467525917891396037027108987863/7200580866640532181296285252978 20227350*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1594999039118302387137234890553 83841/720058086664053218129628525297820227350*(147+42*7^(1/2))^(1/2)*( 81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)+482006801318541424089740849773733452/756060990997 2558790361099515627112387175*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)-33304183546108113030610597883976769609/1058 48538739615823065055393218779573420450*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)-7202796953006527421411087284086856933/7560609909 972558790361099515627112387175*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2)+648132003164934234627415237800780667/352828462465386076883517977 39593191140150*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2), a[11,6] = 33402909935900944780900161173875000348 87055444070308031529/1315623483678037064030252646781224826573467932744 59368602160*7^(1/2)-78260020724024495921312549325932094622626000466056 499807213/381530810266630748568773267566555199706305700495932168946264 0-3768906662423763861908636085757214679534755564205627068111297/721093 231403932114794981475700789327444917773937311799308438960*(147+42*7^(1 /2))^(1/2)+22122401400839834777193415207560643980176640960630616312350 19/721093231403932114794981475700789327444917773937311799308438960*(14 7+42*7^(1/2))^(1/2)*7^(1/2)-242719471714154343321216388382823981483391 23572965279828849/8012147015599245719944238618897659193832419710414575 5478715440*(147-42*7^(1/2))^(1/2)*7^(1/2)+8596406952264981541043327221 843496257606340690265447190075/228918486159978449141263960539933119823 7834202975593013677584*(147-42*7^(1/2))^(1/2)+729971595674290780346071 483119842718017015961071035936132301/168255087327584160118829010996850 8430704808139187060865053024240*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2) )^(1/2)-22455121791900021229928143695139915755754438465942124627989/24 0364410467977371598327158566929775814972591312437266436146320*(147+42* 7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+352636561771782607896012 73065237477166579421315460438660331/4326559388423592688769888854204735 964669506643623870795850633760*(147+42*7^(1/2))^(1/2)*(81872+30130*7^( 1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)-213951325809058496786320919975472322236267435161081058656321/302 85915718965148821389221979433151752686546505367095570954436320*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+163959971117890238012885 86352347036554472253395772093890853/2289184861599784491412639605399331 1982378342029755930136775840*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1100761696044508818 4367587885672305449243592058983595842215/32048588062396982879776954475 590636775329678841658302191486176*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+294242 76367711307915003438854670417087705174960169715517/1009530523965504960 7129740659811050584228848835122365190318145440*(147+42*7^(1/2))^(1/2)* 7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-20994836488680770 6223468600104708221074451913020941775579/14421864628078642295899629514 01578654889835547874623598616877920*(147+42*7^(1/2))^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)+594336042142478350736553304321973867 72717495759814907464557/3365101746551683202376580219937016861409616278 374121730106048480*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^ (1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2 )-21297548567935285668491028022841950018062218318617463478103/48072882 0935954743196654317133859551629945182624874532872292640*(81872+30130*7 ^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2) )^(1/2)*(147-42*7^(1/2))^(1/2), a[13,1] = 2920805792445908050615919820 662165843074915123/31429975118810799257272498950648525502252080-143083 00931575474180899622826868877/29289643085409481248228908443959480*(147 +42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+27432456043725787733 3595058876735759/13482534118680554860295846744044840*(147-42*7^(1/2))^ (1/2)-152431772742012945231130207986709481/121342807068124993742662620 696403560*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+10490896680715 9089171330270792024281/13482534118680554860295846744044840*(147-42*7^( 1/2))^(1/2)*7^(1/2)-144311487156285014642509305911546381424934199/2357 2481339108099442954374212986394126689060*(147+42*7^(1/2))^(1/2)-122442 7442481256338305104383339514222451411209/66002947749502678440272247796 3619035547293680*(147+42*7^(1/2))^(1/2)*7^(1/2)+2997839648310812043927 960559844332173128926987/94289925356432397771817496851945576506756240* 7^(1/2)-13213614261087803603232782867714281625514113/11629090793959995 72519082461173995443583326960*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)+8692774563513802060310478634819463671043550533/146526544003895946 137404390107923425891499196960*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+359461748 9539926824041919505263996434343983757/20932363429127992305343484301131 917984499885280*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-16559152961654767963447630247185 0354443328951/48842181334631982045801463369307808630499732320*(147+42* 7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1489781004630712965397153 07051243/81278759562011310463835220931987557*(147+42*7^(1/2))^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+342132301075358958913027010 5881763/299312257434708317898567797717795448*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)*(147-42*7^(1/2))^(1/2)+6373753789993500825249988599568883/2137944 69596220227070405569798425320*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)-33917838214846405542575944889540129/47141680545966560069024428140 552783060*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(14 7+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42 *7^(1/2))^(1/2), a[17,1] = 188900136871147827929961646329659863/464849 67705801497363883689043265650600*7^(1/2)*(81872+30130*7^(1/2)+1848*(14 7+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42 *7^(1/2))^(1/2)-329094878844444334506282772339164161/48809216091091572 2320778734954289331300*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)-1183071405328663286017444547361210217/25127009570 70351208858577786122467600*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)+475356275788322691341373300967038407/167513397138023413923905185741 497840*(147-42*7^(1/2))^(1/2)*7^(1/2)+98019662724703728209793288179535 2987/30989978470534331575922459362177100400*7^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+1003971170836840799872177201483501001/9296993541160299472776737808 6531301200*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-97782951122223 133335253604408021933/18593987082320598945553475617306260240*(147+42*7 ^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)+1864504093152533835278571997847081 59/2213569890752452255423032811584078600*(81872+30130*7^(1/2)+1848*(14 7+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-9087437 556226257810114337338904091/4648496770580149736388368904326565060*(147 +42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^ (1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+631641712810277013182 6063931360437263/837566985690117069619525928707489200*(147-42*7^(1/2)) ^(1/2)+151743698921186620720759049348721379/79768284351439720916145326 54357040*7^(1/2)-76250144407059289869832287545033497/23930485305431916 274843597963071120*(147+42*7^(1/2))^(1/2)-1409036486176187265172528098 05336021/119652426527159581374217989815355600*(147+42*7^(1/2))^(1/2)*7 ^(1/2)-491863996695380473055492357651617193/19523686436436628892831149 39817157325200*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)+676904139900050832422070415489792057/132947140585 73286819357554423928400-3099321472009930476540293517557097403/17588906 699492458462010044502857273200*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42* 7^(1/2))^(1/2), a[14,6] = 29812395725893790783907783718249771395529511 895089640498464820311/120056935951284475370050165393947202283582725284 555802155935803320+671787733035765668126590849638678634173720436080148 6338539195113/58827898616129392931324581043034129118955535389432343056 40854362680*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+1559 368072306584405657258644001331725460674992222094963699791351/600284679 75642237685025082696973601141791362642277901077967901660*(147-42*7^(1/ 2))^(1/2)+249426510179393517752947484452657349726633385519017769994780 091/120056935951284475370050165393947202283582725284555802155935803320 *(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+27453614491558953656778 56845117429561785614243099060545995111649/2100996379147478318975877894 39407603996269769247972653772887655810*(147-42*7^(1/2))^(1/2)*7^(1/2)+ 235427937300023117117698644614660129947375129481547216545373175/900427 0196346335652753762404546040171268704396341685161695185249*(147+42*7^( 1/2))^(1/2)-7079004981092982260589391222939799960962011349927130016733 063543/126059782748848699138552673663644562397761861548783592263732593 4860*(147+42*7^(1/2))^(1/2)*7^(1/2)-9746490452372184859430521464764741 756005691122162408364579739139/120056935951284475370050165393947202283 582725284555802155935803320*7^(1/2)+3230404910363443815027027363701981 547533519724634079784583642271/302543478597236877932526416792746949754 6284677170806214329582243664*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+405600913741757118530766832428634509444279742879094014841535881/72 034161570770685222030099236368321370149635170733481293561481992*7^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)-6556991931077340246477886957545934576226798180 063233454427941329/720341615707706852220300992363683213701496351707334 812935614819920*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-47024753644741270417841648894762 40033227399291378795713975611283/7563586964930921948313160419818673743 865711692927015535823955609160*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3 0130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2)) ^(1/2))^(1/2)-85177916531629302180599361199890619120846230695538031705 317253/168079710331798265518070231551526083197015815398378123018310124 6480*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)+352094029603499899998695596750887207553763246594342948826552323/252 1195654976973982771053473272891247955237230975671845274651869720*7^(1/ 2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+5253893146925097018635 15634928947727575291749654601988575490897/7203416157077068522203009923 63683213701496351707334812935614819920*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7 ^(1/2))^(1/2)-15330396422143049181793685426538021702448113293933380088 94366/2451162442338724705471857543459755379956480641226347627350355984 45*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2), a[17,6] = -1541704528840825252755951936156053060773191027661 5485941/442500801601793808876343571705182513548100549763064377740+4016 3635233012176760870746306365571041777172486022931481/53100096192215257 06516122860462190162577206597156772532880*7^(1/2)-23731033131474255435 885886140389787485536846581598015363/696938762522825248980241125435662 4588382583658768263949405*(147+42*7^(1/2))^(1/2)+142042265617750633900 28819905061718357377132047948954382/6969387625228252489802411254356624 588382583658768263949405*(147+42*7^(1/2))^(1/2)*7^(1/2)+36843629073407 201073438458558939925515803584905185868311/159300288576645771195483685 81386570487731619791470317598640*(147-42*7^(1/2))^(1/2)*7^(1/2)+111933 39954984942196249589974388786762749803639977651621/3186005771532915423 909673716277314097546323958294063519728*(147-42*7^(1/2))^(1/2)+6060136 4090335026314583284282206857249095962781889799435/23417142420766928365 7361018146382586169654810934613668700008*(147+42*7^(1/2))^(1/2)*7^(1/2 )*(147-42*7^(1/2))^(1/2)+971532243394161776895480705115270175422165259 22472078003/3345306060109561195105157402091179802423640156208766695714 40*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-721879411966596260664 47856530949443571405794222881958393/1338122424043824478042062960836471 920969456062483506678285760*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)-60202891544028632772889979743281919980107551326942160301/1338122424 043824478042062960836471920969456062483506678285760*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)+87265135392625422106210886215618421 415880099581915526583/637201154306583084781934743255462819509264791658 81270394560*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)+208071217212624886727299126557580804 70451724380631438969/8920816160292163186947086405576479473129707083223 3778552384*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^ (1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+23112211329093114458368208589 3689613164005617617823944549/13381224240438244780420629608364719209694 56062483506678285760*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)* 7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+6267 1526089493088449056713162169763605245064424722980917/13381224240438244 78042062960836471920969456062483506678285760*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)*(147-42*7^(1/2))^(1/2)-538410062134446833364921721322466252309491 75630113712579/5620114180984062807776664435513182068071715462430728048 800192*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)-108848478922667630295072741394223687867158931425250480131/2810057 0904920314038883322177565910340358577312153640244000960*(147+42*7^(1/2 ))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[13,6] = -33506913248583398942222188321339110646674043486831681769/135702664 6654969920806646121779037036750464998546293060721376*(147+42*7^(1/2))^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+5092254581999507697 941471604925860946100695177566193133/215401055024598400128039066949053 49789689920611845921598752*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-21538093125000204051587660521558330034244246114874794659/226 171107775828320134441020296506172791744166424382176786896*(147+42*7^(1 /2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-4339092629342613112854018780 7727222583135278053873779158553501089063/17232011576311124246363482370 7716855193187201812959198208425744783645712*(147+42*7^(1/2))^(1/2)*7^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)+1975537765284626939562526439388521920208973 8589130419520820275246087/57440038587703747487878274569238951731062400 604319732736141914927881904*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)-2186711596770187514441959197565426000651429877707024855026310766581 177/103392069457866745478180894224630113115912321087775518925055446870 1874272*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+27683090978973871712514312784865 17818220484558287802023143439833019/8787359294396289773770261280352720 8155628353805690565124133475157392*(147+42*7^(1/2))^(1/2)*7^(1/2)+1180 6171536569207823789328036574237600476702361726953369/46157368933842514 31315122863194003526362125845395554628304*(147+42*7^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)+4349296159338810678870795668121201130985044315663256 831/21540105502459840012803906694905349789689920611845921598752*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+6642640680797875886240996735416 53461974647788416837645/3590017583743306668800651115817558298281653435 307653599792*(147-42*7^(1/2))^(1/2)*7^(1/2)+10131973012437103889831791 729425199910419265485126198809/512859654820472381257235873688222614040 236205043950514256*(147-42*7^(1/2))^(1/2)-1560544816445335018725514312 8519544411821575845180064951/13570266466549699208066461217790370367504 64998546293060721376*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)+4055746502610011340266252337078758326192447 44086982837739981869200977/7385147818419053248441492444616436651136594 3634125370660753890621562448*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-2694989080389088649 601762561853086495945751562046156938604030264241/878735929439628977377 02612803527208155628353805690565124133475157392*(147+42*7^(1/2))^(1/2) -409912859183855637833811834610122628115228032768273279005488772931/41 84456806855376082747743466834628959791826371699550720196832150352+3512 337398008833814578460746025463708343607806913641983383598768615/125533 70420566128248243230400503886879375479115098652160590496451056*7^(1/2) , a[14,7] = 8385722549971277526726597361930111704454778168000758/63649 52076783591775856585223985448799379593181534575-2909384520781943489498 5306942372754885399563309860977/13366399361245542729298828970369442478 6971456812226075*(147+42*7^(1/2))^(1/2)*7^(1/2)+2191085566078534761820 33971947223394295613180930732/8486602769044789034475446965313931732506 1242420461*7^(1/2)-142457450743862501307465565040993397048391425158009 6/19094856230350775327569755671956346398138779544603725*(147+42*7^(1/2 ))^(1/2)+184731755938465414436486010412863271308461155182/309323617475 025114246808826553212266092219136975*(147-42*7^(1/2))^(1/2)+5395605645 24355655856955208525787799362352122807/2165265322325175799727661785872 485862645533958825*(147-42*7^(1/2))^(1/2)*7^(1/2)-42982782383103301122 072756285425552083401526578/216526532232517579972766178587248586264553 3958825*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1567503827264621 78506100410656456765184668782343/1515685725627623059809363250110740103 8518737711775*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-11 3350110572443124137433930557720904443155304411/41140041124178340194825 573931577231390265145217675*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)+72924757946156826694019635350302858441124692909/4114004112417834019 4825573931577231390265145217675*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)+58289074325376087102805474217100038910778948263/5877148 732025477170689367704511033055752163602525*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-20017 504174176975243907764630671266021030099374/117542974640509543413787354 0902206611150432720505*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-28533635750826064 666712762658925040274919221406/411400411241783401948255739315772313902 65145217675*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-21860 215864178025908560601265063887591748780836/822800822483566803896511478 6315446278053029043535*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+11 646639387020145092464463231559941499478183293/287980287869248381363779 017521040619731856016523725*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)+862311389679165967266058684612635626 0744885808/41140041124178340194825573931577231390265145217675*(147+42* 7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[11,7] = -67715051593692647367045045535241983744739/22412499203181853905374092 293278940483687006*(147+42*7^(1/2))^(1/2)*7^(1/2)+71137993897284432362 555834044224472535011/3922187360556824433440466151323814584645226050*( 147-42*7^(1/2))^(1/2)+3460597437314780625378724355287085457974621/1176 6562081670473300321398453971443753935678150*(147+42*7^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2)+5725472433539114005956166967261819192505101/784437 472111364886688093230264762916929045210*(147-42*7^(1/2))^(1/2)*7^(1/2) +5141900080007093404563151289403719247544357/5603124800795463476343523 07331973512092175150*(147+42*7^(1/2))^(1/2)+22542020536000522011968380 241674507244725199/82365934571693313102249789177800106277549747050*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+3576931519461399048 5152645813038448542037307/18677082669318211587811743577732450403072505 0-92461387687468017136959349925495600536969183/13073957868522748111468 22050441271528215075350*7^(1/2)+32237322262529058075988245172650101006 7941/5883281040835236650160699226985721876967839075*(147+42*7^(1/2))^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)-1939998899027918593229981107601952974117087 /82365934571693313102249789177800106277549747050*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)+21930820854036187856941911479316949944 58373/3922187360556824433440466151323814584645226050*7^(1/2)*(81872+30 130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2)-419785535353100013580641068503214695619693/28015624003977 3173817176153665986756046087575*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1889555295798553 80166340420303935035731026/5883281040835236650160699226985721876967839 075*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-9573285370256 17438960555809657491671236217/2470978037150799393067493675334003188326 49241150*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)+70148289915658528729785400813082421150941/352996862450114199009 64195361914331261807034450*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2)+1021212053028002718859070029216136075 025541/11766562081670473300321398453971443753935678150*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)*(147-42*7^(1/2))^(1/2), a[13,10] = 197765/2548056*(147+42*7^(1/ 2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-246223/364008*(147-42*7^(1/2) )^(1/2)-10097/364008*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-210 4895/2548056*(147-42*7^(1/2))^(1/2)*7^(1/2)+172929/121336*(147+42*7^(1 /2))^(1/2)-3729/4184*(147+42*7^(1/2))^(1/2)*7^(1/2)-767899/121336+8704 51/121336*7^(1/2), a[14,10] = -152603238/1582668605*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+1255506211/3798404652*(147+42*7^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)+801054349/1899202326*(147-42*7^(1/2) )^(1/2)*7^(1/2)+29244496043/904382060+5560588343/3165337210*(147+42*7^ (1/2))^(1/2)*7^(1/2)-2323491656/226095515*7^(1/2)-6528222031/271314618 0*(147-42*7^(1/2))^(1/2)-4586184623/904382060*(147+42*7^(1/2))^(1/2)\} :" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 61 "We can obtain an embedded 16 stage order 9 scheme as fo llows." }}{PARA 0 "" 0 "" {TEXT -1 95 "We remove stages 16 and 17 from the 17 stage order 10 scheme and introduce a new stage 16 with " }} {PARA 256 "" 0 "" {TEXT -1 1 " " }{XPPEDIT 18 0 "c[16] = 1;" "6#/&%\"c G6#\"#;\"\"\"" }{TEXT -1 3 ", " }{XPPEDIT 18 0 "a[16, 2] = 0;" "6#/&% \"aG6$\"#;\"\"#\"\"!" }{TEXT -1 3 ", " }{XPPEDIT 18 0 "a[16, 4] = 0; " "6#/&%\"aG6$\"#;\"\"%\"\"!" }{TEXT -1 3 ", " }{XPPEDIT 18 0 "a[16,5 ] = 0;" "6#/&%\"aG6$\"#;\"\"&\"\"!" }{TEXT -1 3 ", " }{XPPEDIT 18 0 " `b*`[2]=0" "6#/&%#b*G6#\"\"#\"\"!" }{TEXT -1 3 ", " }{XPPEDIT 18 0 "` b*`[4] = 0;" "6#/&%#b*G6#\"\"%\"\"!" }{TEXT -1 3 ", " }{XPPEDIT 18 0 "`b*`[5] = 0;" "6#/&%#b*G6#\"\"&\"\"!" }{TEXT -1 7 " and " } {XPPEDIT 18 0 "`b*`[8] = 0;" "6#/&%#b*G6#\"\")\"\"!" }{TEXT -1 2 ", " }}{PARA 0 "" 0 "" {TEXT -1 56 "where the weights of the order 9 scheme are denoted by " }{XPPEDIT 18 0 "`b*`" "6#%#b*G" }{TEXT -1 1 "." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 38 "We also s et the linking coefficients " }{XPPEDIT 18 0 "a[16,1];" "6#&%\"aG6$\" #;\"\"\"" }{TEXT -1 7 " and " }{XPPEDIT 18 0 "a[16,4];" "6#&%\"aG6$ \"#;\"\"%" }{TEXT -1 6 " to " }{XPPEDIT 18 0 "a[16,14];" "6#&%\"aG6$ \"#;\"#9" }{TEXT -1 91 " to be equal to the corresponding linking coe fficients in stage 17 of the order 10 scheme." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 240 "e16 := `union`(remove(u_->member(op(1,lhs(u_)), [16,17]) or op(0,lhs(u_))=b,e15),\n \{c[16]=1,seq(`b*`[i]=subs( e15,b[i]),i=[1,$3..15]),`b*`[2]=0,`b*`[16]=subs(e15,b[17]),\n \+ a[16,2]=0,seq(a[16,i]=subs(e15,a[17,i]),i=[1,$4..14])\}):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 55 "It only remains t o determine the linking coefficients " }{XPPEDIT 18 0 "a[16,3];" "6#& %\"aG6$\"#;\"\"$" }{TEXT -1 7 " and " }{XPPEDIT 18 0 "a[16,15];" "6# &%\"aG6$\"#;\"#:" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 48 "We do this by using the simplifying conditions: " }}{PARA 256 "" 0 "" {TEXT -1 1 " " }{XPPEDIT 18 0 "Sum(`b*`[i]*a[i,j],i = j+1 .. 16) = `b* `[j]*(1-c[j]);" "6#/-%$SumG6$*&&%#b*G6#%\"iG\"\"\"&%\"aG6$F+%\"jGF,/F+ ;,&F0F,F,F,\"#;*&&F)6#F0F,,&F,F,&%\"cG6#F0!\"\"F," }{TEXT -1 1 "," }} {PARA 0 "" 0 "" {TEXT -1 6 "for " }{XPPEDIT 18 0 "j = 3;" "6#/%\"jG \"\"$" }{TEXT -1 6 " and " }{XPPEDIT 18 0 "j = 15;" "6#/%\"jG\"#:" } {TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 130 "subs(e16,eval(subs(j=3,'add'(`b*`[i]*a[i,j],i=j +1..16)=`b*`[j]*(1-c[j])))):\nlhs(%)-rhs(%):\na[16,3]=solve(%,a[16,3]) ;\ne16_3 := \{%\}:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/&%\"aG6$\"#;\" \"$,*#\"#Y\"$r\"\"\"\"*&F,!\"\"\"\"(#F-\"\"#F/*(\"#TF-\"%\"f$F/,&\"$Z \"F-*&\"#UF-F0F1F-F1F-**F2F-F5F/F0F1F6F1F-" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 134 "subs(e16,eval(sub s(j=15,'add'(`b*`[i]*a[i,j],i=j+1..16)=`b*`[j]*(1-c[j])))):\nlhs(%)-rh s(%):\na[16,15]=solve(%,a[16,15]);\ne16_15 := \{%\}:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/&%\"aG6$\"#;\"#:,*#\"#Y\"$r\"!\"\"*&F,F-\"\"(#\"\" \"\"\"#F1*(\"#TF1\"%\"f$F-,&\"$Z\"F1*&\"#UF1F/F0F1F0F-**F2F1F5F-F/F0F6 F0F-" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 11 " Note that " }{XPPEDIT 18 0 "a[16,15]=-a[16,3]" "6#/&%\"aG6$\"#;\"#:,$ &F%6$F'\"\"$!\"\"" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "e17 := `union`(e16,e16_3,e16 _15):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 70 "#-------------------------------------------------------------------- -" }}{PARA 0 "" 0 "" {TEXT -1 70 "We can check that the (simple) order 9 order conditions are satisfied." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "`SO9_16*` := subs(b=`b*`,Sim pleOrderConditions(9,16)):\nnops(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#\"$c#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 225 "eK := evalf[60](`union`(\{c[1]=0\},e17)): ind := []: \nfor ct from 127 to 256 do\n dd := subs(Sum=add,`SO9_16*`[ct]):\n \+ zr := simplify(subs(eK,dd));\n ind := [op(ind),`if`(abs(lhs(zr)-rhs (zr))<10^(5-Digits),0,1)];\nend do:\nind;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7^s\"\"!F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 139 "We can include the new stage for the emb edded scheme as an additional 18th stage added to the order 10 scheme \+ along with the coefficients " }{XPPEDIT 18 0 "a[18,16] = 0;" "6#/&%\" aG6$\"#=\"#;\"\"!" }{TEXT -1 7 " and " }{XPPEDIT 18 0 "a[18,17] = 0; " "6#/&%\"aG6$\"#=\"#<\"\"!" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 13 "The weights " }{XPPEDIT 18 0 "`b*`[i]" "6#&%#b*G6#%\"iG" } {TEXT -1 7 " for " }{XPPEDIT 18 0 "i=1" "6#/%\"iG\"\"\"" }{TEXT -1 89 " . . 15 of the 18 stage combined scheme are those of the 16 stage \+ scheme and the weight " }{XPPEDIT 18 0 "`b*`[16];" "6#&%#b*G6#\"#;" } {TEXT -1 34 " in the 16 stage scheme becomes " }{XPPEDIT 18 0 "`b*`[ 18];" "6#&%#b*G6#\"#=" }{TEXT -1 25 " in the 18 stage scheme." }} {PARA 0 "" 0 "" {TEXT -1 8 "We set " }{XPPEDIT 18 0 "c[18] = 1;" "6#/ &%\"cG6#\"#=\"\"\"" }{TEXT -1 3 ", " }{XPPEDIT 18 0 "`b*`[16] = 0;" " 6#/&%#b*G6#\"#;\"\"!" }{TEXT -1 7 " and " }{XPPEDIT 18 0 "`b*`[17] = 0;" "6#/&%#b*G6#\"#<\"\"!" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 68 "We can make the order 10 scheme into an 18 stage scheme by sett ing " }{XPPEDIT 18 0 "b[18] = 0;" "6#/&%\"bG6#\"#=\"\"!" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 201 "e18 := \{c[18]=1,seq(a[18,i]=subs(e17,a[16,i]),i=1.. 15),a[18,16]=0,a[18,17]=0,b[18]=0,\nseq(`b*`[i]=subs(e17,`b*`[i]),i=1. .15),`b*`[16]=0,`b*`[17]=0,`b*`[18]=subs(e17,`b*`[16])\}:\ne19 := `uni on`(e15,e18):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 137 "subs(e19,matrix([seq([c[i],seq(a[i,j],j=1..i-1) ,``$(19-i)],i=2..18),\n[`b`,seq(b[j],j=1..18)],[`b*`,seq(`b*`[j],j=1.. 18)]])):\nevalf[3](%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#K%'matrixG6# 7575$\"$+\"!\"$F(%!GF+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+75$\"$Q&F*$!##*!\" #$\"$X\"F1F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+75$\"$4)F*$\"$-#F*$\"\"!F:$ \"$1'F*F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+75$\"$3$F*$\"$$=F*F9$\"$)>F*$!$D( !\"%F+F+F+F+F+F+F+F+F+F+F+F+F+F+75$\"#)*F1$\"$!))FFF9F9$\"#SF1$\"$#\\F *F+F+F+F+F+F+F+F+F+F+F+F+F+75$\"$L)F*$\"#%)F*F9F9$\"$Z$F*$\"$*[F*$!#5F 1F+F+F+F+F+F+F+F+F+F+F+F+75$\"$a$F*$\"$@\"F*F9F9F9$\"#EF1$\"#LF*$!#dF* F+F+F+F+F+F+F+F+F+F+F+75$\"$$))F*$\"$6\"F*F9F9F9F9$!#hF*$\"$B$F*$\"$7& F*F+F+F+F+F+F+F+F+F+F+75$\"$V'F*$\"$2\"F*F9F9F9F9$!$Y\"F*$!$N$F*$\"$?& F*$\"$&\\F*F+F+F+F+F+F+F+F+F+75$\"$d$F*FhnF9F9F9F9$!$m(FF$\"$R#F*$\"$: %F*$\"\"%F1$!$Y$F*F+F+F+F+F+F+F+F+75$\"$<\"F*$!#6!\"\"F9F9F9F9$!$x'FF$ \"\"\"F1$FbqF:$FFF:F]r$FjqFjqF+F+F+F+F+F+F+75FQ$F*F:F9F9FUFW$!$T\"F1$! #!*F1$\"#7F:$\"\"#F:$!#BFjq$!#HFjq$!$<#F1F+F+F+F+F+F+75F>$F1F:F9FBFDF9 $!$K*F*$\"\"&Fjq$\"#@F:$FjqF:$!#9FjqFjs$!$s\"F1$!#DF*F+F+F+F+F+75F-F/F 2F9F9$!$z(F*F9$F0F*F9F9F9F9F9$\"##*F*$\"$z(F*F+F+F+F+75F(F(F9$!$d\"F*F 9F9F9F9F9F9F9F9F9F9F9$\"$d\"F*F+F+F+75$F^rF:$!\")Fjq$\"$v'F*$\"$V$F*F9 $\"$e#F*$!$i$F*$!$.\"F1$\"\"$F:F_uF(Far$!$f\"F*$!$X\"F*$!$e#F*$!$V$F*$ !$v'F*F+F+75F_uF`uF9$\"$i%F*F9FfuFhuFjuF\\vF_uF(FarF^vF`vFbv$!$i%F*F9F 9F+75%\"bG$\"$L$FF$\"$]#FFF_wF9$\"$+&FFF9$\"$+%FFF9$\"$*=F*$\"$x#F*Fiw Fgw$!$+%FF$!$+&FF$!$L$FF$!$]#FFF_wF975%#b*GF_wF9F_wF9FcwF9FewF9FgwFiwF iwFgwF[xF]xF_xF9F9F_wQ(pprint06\"" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 50 "e19: coefficients of com bined scheme in exact form" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 134955 "e19 := \{a[15,10] = 0, a[15,11] = 0, a[12,5] = 0, a[14,5] = 0, a[16,5] = 0, a[9,5] = 0, a[10,5] = 0, \+ a[11,5] = 0, a[16,11] = 0, a[16,12] = 0, a[16,13] = 0, a[16,7] = 0, a[ 16,8] = 0, a[16,9] = 0, a[13,2] = 0, a[14,2] = 0, a[16,2] = 0, a[10,2] = 0, a[11,2] = 0, a[12,2] = 0, a[16,6] = 0, a[16,10] = 0, `b*`[2] = 0 , a[16,14] = 0, a[15,12] = 0, a[8,2] = 0, a[9,2] = 0, a[8,3] = 0, a[9, 3] = 0, c[17] = 1, a[5,2] = 0, a[15,6] = 0, a[15,8] = 0, a[15,9] = 0, \+ a[4,2] = 0, a[9,4] = 0, a[10,4] = 0, a[6,2] = 0, a[7,2] = 0, a[16,4] = 0, a[17,4] = 0, a[15,3] = 0, a[13,3] = 0, a[8,4] = 0, a[10,3] = 0, a[ 11,3] = 0, a[12,3] = 0, a[6,3] = 0, a[7,3] = 0, a[17,9] = 188315637603 819638150391103972700383/2806027733743544127904130026504272*7^(1/2)-76 456943114158903845847909693650133/7015069334358860319760325066260680*( 147+42*7^(1/2))^(1/2)-490273324301276422627128135722784019/29463291204 3072133429933652782948560*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2 )+2986886169169898547643753775455722451/294632912043072133429933652782 948560*(147-42*7^(1/2))^(1/2)*7^(1/2)+30958805494693760053992129175383 6571/1753767333589715079940081266565170-931233928852176876676041542329 6157/14731645602153606671496682639147428*(147+42*7^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)*7^(1/2)-205175807296026379539671651497061293/49105485 340512022238322275463824760*7^(1/2)*(147+42*7^(1/2))^(1/2)+11260005313 52093678483969696927760379/42090416006153161918561950397564080*(147-42 *7^(1/2))^(1/2)-6409665123082146215715728894484241/1178531648172288533 719734611131794240*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2) +1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )+14715690305986846821871468007695513/16836166402461264767424780159025 6320*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)+38876340238064402546057790486410833 /168361664024612647674247801590256320*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1683730232 0018628200187223424362681/1178531648172288533719734611131794240*(147+4 2*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1062032002905736119738892801236 03359/3535594944516865601159203833395382720*(81872+30130*7^(1/2)+1848* 7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)-2208536653725465208818968593451983/1178531648172288 533719734611131794240*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848 *7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2)-5817977571497442458703687801410809/824972153720601 9736038142277922559680*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^( 1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)*(147-42*7^(1/2))^(1/2)+40058982814503612334272189908895443/35355 94944516865601159203833395382720*7^(1/2)*(81872+30130*7^(1/2)+1848*7^( 1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42 *7^(1/2))^(1/2), a[11,4] = 0, a[12,4] = 0, a[15,4] = 0, b[1] = 1/30, b [15] = -1/30, b[16] = -1/40, b[5] = 1/20, a[10,7] = -15072405480671732 150277549276360746709/201616264265934901076295987083389663658*7^(1/2)- 5868204479493774544952553411926427093/14401161733281064362592570505956 4045470-5685054155219627069388668723721213723/100808132132967450538147 9935416948318290*(147+42*7^(1/2))^(1/2)-903105902517804138610848267854 633385/201616264265934901076295987083389663658*7^(1/2)*(147+42*7^(1/2) )^(1/2)+3811937923562438200402297650944763151/100808132132967450538147 9935416948318290*(147-42*7^(1/2))^(1/2)*7^(1/2)+1679568109548242712932 3968498410155207/1008081321329674505381479935416948318290*(147-42*7^(1 /2))^(1/2)+16609742899190464054243737654426104887/63509123243769493839 033235931267744052270*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^ (1/2)+5322205213656981335658758545698167947/90727318919670705484333194 18752534864610*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+272226690 61287889626672571679594976/504040660664837252690739967708474159145*7^( 1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)-38851676443532111896927912017612963/7200580 8666405321812962852529782022735*(81872+30130*7^(1/2)+1848*7^(1/2)*(147 +42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-2763100597178444 846739116118894587/201616264265934901076295987083389663658*(147+42*7^( 1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)-7466764080328516656789512326194499/7 056569249307721537670359547918638228030*(147+42*7^(1/2))^(1/2)*7^(1/2) *(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42 *7^(1/2))^(1/2))^(1/2)+145937438141695270779059899842481/2880232346656 2128725185141011912809094*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^ (1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) +72631995294244144269978215958106071/705656924930772153767035954791863 8228030*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+511533344 0499852023629118530729273/27218195675901211645299958256257604593830*(1 47+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)+248793624408293359571527220272971542/95263684865654240758549853896 901616078405*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)* (147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2), a[13,9] = 5415066020502933970307829556334509/1707401806077 85845743883989368955232*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147 +42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)+488553034431534823283453635766699/58875924347512360601339306678 95008*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1645195401863094082 907956183660465/170740180607785845743883989368955232*(147+42*7^(1/2))^ (1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)-5119584500402407597869114628918663 /170740180607785845743883989368955232*(147+42*7^(1/2))^(1/2)*(81872+30 130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2)-876085884746255039598329445525515/17074018060778584574388 3989368955232*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)-2378587762953971472468077930900747/11951812642545009202071 87925582686624*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+184 8*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)-48303823384563675603676595904263195/2845669676796 4307623980664894825872*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7 ^(1/2)-213689030200680816822835452223852283/28456696767964307623980664 894825872*7^(1/2)*(147+42*7^(1/2))^(1/2)+39847075300309697296213105259 30551/24391454372540835106269141338422176*7^(1/2)*(81872+30130*7^(1/2) +1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )-129646741248448196765191168156483535/2845669676796430762398066489482 5872*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+7789292750124064895 41059977532793399/28456696767964307623980664894825872*(147-42*7^(1/2)) ^(1/2)*7^(1/2)+11281556232606709991567019703208353/2439145437254083510 6269141338422176*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1205159370986197861232360146627 807597/4065242395423472517711523556403696+4798063467443310126453269179 33262329/4065242395423472517711523556403696*7^(1/2)+296265236166916062 635185238695503127/4065242395423472517711523556403696*(147-42*7^(1/2)) ^(1/2)-72720140832570636163904219193423875/406524239542347251771152355 6403696*(147+42*7^(1/2))^(1/2), a[7,4] = -14753702975/416532550088+420 36616273525/7906204333220328*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+128447350/468599118 849*7^(1/2)+48045631788725/249045436496440332*(147+42*7^(1/2))^(1/2)*7 ^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)+85572976175/5623189426188*(147+42*7^(1/2) )^(1/2)-1148670097025/2635401444406776*7^(1/2)*(81872+30130*7^(1/2)+18 48*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3 78214205172575/498090872992880664*(147+42*7^(1/2))^(1/2)*(81872+30130* 7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+25159175225/39362325983316*7^(1/2)*(147+42*7^(1/2))^(1/2), a[ 12,10] = -3587/511560*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^ (1/2)-10051/10440*7^(1/2)-433/609*(147-42*7^(1/2))^(1/2)+51283/219240* 7^(1/2)*(147+42*7^(1/2))^(1/2)-97697/109620*(147+42*7^(1/2))^(1/2)+264 7/36540*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1427/24360*(147- 42*7^(1/2))^(1/2)*7^(1/2)+7147/1044, a[17,2] = 27/40, a[16,1] = 1/10, \+ a[10,8] = 157098178794931511461310715062572825340744306648323937706125 51450983266297361853739299841312836349875/6585587549441699048292794405 5742111484571920428076034763677546890167924041409653829232959687377529 98074*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+1224577921 6304423176197887607539945676971627492564284251744006067968338371321405 62789946625219515375/1493330510077482777390656327794605702598002730795 3749379518718115684336517326452115472326459722795914*(147+42*7^(1/2))^ (1/2)-1715330904914015474259126591431086362533238222175336978015883501 9165451653812194704121494604456066125/44799915302324483321719689833838 171077940081923861248138556154347053009551979356346416979379168387742* 7^(1/2)-39049652157308266523979951991628053496310016253618418974697009 731303218642501346129500389260855877875/447999153023244833217196898338 3817107794008192386124813855615434705300955197935634641697937916838774 2+23765923234158236881349958472079335015390703112739026542472633582715 12118202948508267801474654242875/1045331357054237944173459429456223991 81860191155676245656631026809790355621285164808306285218059571398*7^(1 /2)*(147+42*7^(1/2))^(1/2)-3931814575205920570810585619771431389758157 3500811284081374139281641340640741562736038366458430726125/94079822134 8814149756113486510601592636741720401086210909679241288113200591566483 274756566962536142582*(147-42*7^(1/2))^(1/2)*7^(1/2)-14383106022745837 1869046283189103588249297506954245011000344964188872521558888965875462 04318851043875/1343997459069734499651590695015145132338202457715837444 15668463041159028655938069039250938137505163226*(147-42*7^(1/2))^(1/2) +508588653538493012980466276788046504406790255105009572170149335501301 85724882237064131478251422982125/6585587549441699048292794405574211148 457192042807603476367754689016792404140965382923295968737752998074*(14 7+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+346381300596059576364007667 0175809235913024349701346298015332258218765181499464584032404782793662 5/18417742957622287587818094709466803665375367013142957568073085676010 6817047026242757492026336581149606*(147+42*7^(1/2))^(1/2)*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)-144663088265820888241616433387569625603658045738872295690441 4365148901110740294057346404812871264625/24863952992790088243554427857 7801849482567454677429927168986656626144203013485427722614235554384551 9681*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-57661519452098449175060828859383291 53036317235503658056510223180848658892396309935749574198952583125/2486 3952992790088243554427857780184948256745467742992716898665662614420301 34854277226142355543845519681*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+4 2*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+555706331930246044 2671239397898822565026522653505459723887040310635332239130867787856324 37678012875/2707408214770476275409259922291620138810178950932014762506 7435943735702105912857685351327871477428992082*(147+42*7^(1/2))^(1/2)* 7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-2913128267522255188796355049098558848511 2017191544251176089452780758128709018030381350618894851878875/10442860 2569718370622928597002676776782678330964520569410974395782980565265663 879643497978932841511826602*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42* 7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)-6471067261822521304717274512329510387078232091876933869543082196958 3798987815175178372948428632627625/73100021798802859436050017901873743 7478748316751643985876820770480863956859647157504485852529890582786214 *7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+7381759153989034 6991378108879642438407359954006407757530849254061030500755593518325699 32779334041125/3655001089940142971802500895093687187393741583758219929 38410385240431978429823578752242926264945291393107*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+340866389056668138759 7641099315425145045439628158713621233662334273373979609337653099805711 099442625/731000217988028594360500179018737437478748316751643985876820 770480863956859647157504485852529890582786214*(147+42*7^(1/2))^(1/2)*7 ^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[17,3] = 856/184 2183*7^(1/2)*(147+42*7^(1/2))^(1/2)+18928/87723-15163/1842183*7^(1/2)+ 4931/614061*(147+42*7^(1/2))^(1/2), a[9,6] = 3877367067606547150670243 1209971798530874258543/11607870060482108698810408526206431212190943855 14+97286827556824246260120831757798046374991275580/4062754521168738044 583642984172250924266830349299*7^(1/2)+1915011995643940523197685267342 3033837893718138/36564790690518642401252786857550258318401473143691*(1 47+42*7^(1/2))^(1/2)+75993996724318585486580009179133626840144939993/3 6564790690518642401252786857550258318401473143691*7^(1/2)*(147+42*7^(1 /2))^(1/2)-4981155254542586734673200106729200073336239073/487530542540 24856535003715810067011091201964191588*7^(1/2)*(81872+30130*7^(1/2)+18 48*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+3 31293425666670005182985172804706547754986263/6964722036289265219286245 115723858727314566313084*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^( 1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-20142574042830765995798 86964267879656098879085/1706356898890869978725130053352345388192068746 70558*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+25398369647 53055199663174321141578606411370451/1462591627620745696050111474302010 33273605892574764*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^( 1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), c[13] \+ = 5/6, c[16] = 1/10, a[10,9] = -208268696365777950185450478770/3060591 1915831592807818592740611*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2 )-18689465574415815105366733059/323872083765413680506016854398*(147+42 *7^(1/2))^(1/2)+698284814259170553964020875453/27205255036294749162505 415769432*(147-42*7^(1/2))^(1/2)*7^(1/2)-91555254015246883370205468565 3/428482766821642299309460298368554*(147+42*7^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)*7^(1/2)+274451461684817355121112568343/3400656879536843645 313176971179*(147-42*7^(1/2))^(1/2)-118861525623823828656608584719/906 8418345431583054168471923144*7^(1/2)*(147+42*7^(1/2))^(1/2)+3260010691 891001715261650353673/2914848753888723124554151689582+2161770141668660 859466252912081/5829697507777446249108303379164*7^(1/2)+45118939969371 3803039656354669/979389181306610969850194967699552*7^(1/2)*(81872+3013 0*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)+293365774024492559903813936299/1399127401866587099785992810 99936*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)-3924068573407728972295576459/9793891813066 10969850194967699552*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/ 2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)-136955143070159833249385666935/979389181306610969850194967699552*( 147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2 ))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+62572336278289311676731251 711/326463060435536989950064989233184*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^ (1/2))^(1/2)+17854114260364984228669720019/326463060435536989950064989 233184*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-5120793773 7238301595720371581/2938167543919832909550584903098656*(147+42*7^(1/2) )^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-71111395847101963 313544716455/20567172807438830366854094321690592*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[12,6] = -439 9905759276946806862699272467513566212764680915163/28829969123751219902 4144066662213094699482685053387095968*(147+42*7^(1/2))^(1/2)*(81872+30 130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+2904407472436499679498828926892782 47230788962020788911/4324495368562682985362160999933196420492240275800 806439520*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+2023182 005735574636953955816149771737134032467940879231/194602291585320734341 29724499699383892215081241103628977840*(147+42*7^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2)*7^(1/2)-31407080832682868419669053824531452346014007860 64687/29418335840562469288177965985940111704028845413610928160*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+426409437912466485861902 736936915500591455842554505701/185335515795543556515521185711422703735 3817261057488474080*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2)) ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+73217 027948225169796605064678697417356659697452955859/617785052651811855051 737285704742345784605753685829491360*(147+42*7^(1/2))^(1/2)*(81872+301 30*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)-149929961231832056024232324569454830429835021100449187/389 20458317064146868259448999398767784430162482207257955680*(147+42*7^(1/ 2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+3520477 2438897419231354619498893568939162683089573063/29418335840562469288177 965985940111704028845413610928160*7^(1/2)*(81872+30130*7^(1/2)+1848*7^ (1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-372182 654830750673271256622275672028586582639534730259/308892526325905927525 868642852371172892302876842914745680*7^(1/2)*(147+42*7^(1/2))^(1/2)+55 6253813587861357774658434494052898983717369863529781/38920458317064146 86825944899939876778443016248220725795568*(147+42*7^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)-1278987894406820999785582428876296776404501655071382 7/926677578977717782577605928557113518676908630528744237040*(147-42*7^ (1/2))^(1/2)*7^(1/2)-6250295377145188622335088756579080342133427030808 7381/88255007521687407864533897957820335112086536240832784480*(81872+3 0130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2)) ^(1/2))^(1/2)-233242942021038748075684649920376603780321666245907075/1 85335515795543556515521185711422703735381726105748847408*(147-42*7^(1/ 2))^(1/2)+1656295402904965989472810117818089833898376396016811843/3088 92526325905927525868642852371172892302876842914745680*(147+42*7^(1/2)) ^(1/2)+1547423714827761248506778308978840327885973485639141837/4412750 3760843703932266948978910167556043268120416392240-58489536450857191774 96358013787553625817149039472755157/3088925263259059275258686428523711 72892302876842914745680*7^(1/2), a[14,7] = 838572254997127752672659736 1930111704454778168000758/63649520767835917758565852239854487993795931 81534575-29093845207819434894985306942372754885399563309860977/1336639 93612455427292988289703694424786971456812226075*7^(1/2)*(147+42*7^(1/2 ))^(1/2)+219108556607853476182033971947223394295613180930732/848660276 90447890344754469653139317325061242420461*7^(1/2)-14245745074386250130 74655650409933970483914251580096/1909485623035077532756975567195634639 8138779544603725*(147+42*7^(1/2))^(1/2)+184731755938465414436486010412 863271308461155182/309323617475025114246808826553212266092219136975*(1 47-42*7^(1/2))^(1/2)+539560564524355655856955208525787799362352122807/ 2165265322325175799727661785872485862645533958825*(147-42*7^(1/2))^(1/ 2)*7^(1/2)-42982782383103301122072756285425552083401526578/21652653223 25175799727661785872485862645533958825*(147+42*7^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2)-156750382726462178506100410656456765184668782343/151568 57256276230598093632501107401038518737711775*(147+42*7^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)*7^(1/2)-11335011057244312413743393055772090444315 5304411/41140041124178340194825573931577231390265145217675*(147+42*7^( 1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)+729247579461568266940196353503028584 41124692909/41140041124178340194825573931577231390265145217675*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+582890743253760871028054 74217100038910778948263/5877148732025477170689367704511033055752163602 525*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)-20017504174176975243907764630671266021030099 374/1175429746405095434137873540902206611150432720505*7^(1/2)*(81872+3 0130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2)) ^(1/2))^(1/2)-28533635750826064666712762658925040274919221406/41140041 124178340194825573931577231390265145217675*7^(1/2)*(81872+30130*7^(1/2 )+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)*(147-42*7^(1/2))^(1/2)-21860215864178025908560601265063887591748780 836/8228008224835668038965114786315446278053029043535*(81872+30130*7^( 1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)*(147-42*7^(1/2))^(1/2)+11646639387020145092464463231559941499478 183293/287980287869248381363779017521040619731856016523725*(147+42*7^( 1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2)) ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+86231 13896791659672660586846126356260744885808/4114004112417834019482557393 1577231390265145217675*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+184 8*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2), b[3] = 1/30, b[17] = 1/30, c[12] = 1/2-1/42*(147 +42*7^(1/2))^(1/2), b[4] = 0, c[9] = 1/2+1/42*(147+42*7^(1/2))^(1/2), \+ b[10] = 7/30+1/60*7^(1/2), c[10] = 1/2+1/42*(147-42*7^(1/2))^(1/2), b[ 2] = 1/40, b[7] = 1/25, b[6] = 0, b[13] = -1/25, b[8] = 0, b[14] = -1/ 20, b[9] = 7/30-1/60*7^(1/2), b[12] = 7/30-1/60*7^(1/2), b[11] = 7/30+ 1/60*7^(1/2), c[11] = 1/2-1/42*(147-42*7^(1/2))^(1/2), `b*`[3] = 1/30, `b*`[1] = 1/30, a[17,10] = 1/10, `b*`[7] = 1/25, `b*`[6] = 0, `b*`[5] = 1/20, `b*`[4] = 0, a[7,1] = 23484440040702826655/118347361610724110 736-551455360041366425/2485294593825206325456*7^(1/2)*(147+42*7^(1/2)) ^(1/2)-1023735498586576025/177521042416086166104*(147+42*7^(1/2))^(1/2 )+706640092513505975/355042084832172332208*7^(1/2)-26202134961238475/2 130252508993033993248*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+4 2*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+400334183876209075 /2130252508993033993248*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-8361862111222775/3550420 84832172332208*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+2540890806 108275/552287687516712516768*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+301 30*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2), `b*`[11] = 7/30+1/60*7^(1/2), `b*`[10] = 7/30+1/60*7^(1/2 ), a[11,9] = 43674167047421382343853974703313262559/272182397158770721 277842629971585246160*(147+42*7^(1/2))^(1/2)-1648219300763494757184966 18018738391267/90727465719590240425947543323861748720-1019854636360899 785613515578352301593/381055356022279009788979681960219344624*7^(1/2)* (147+42*7^(1/2))^(1/2)-18449416379421421945549139397789349507/90727465 719590240425947543323861748720*7^(1/2)+5184981466459186863993438736056 1015121/635092260037131682981632803267032241040*(147-42*7^(1/2))^(1/2) *7^(1/2)+26408607824887962464219447679995631527/9072746571959024042594 7543323861748720*(147-42*7^(1/2))^(1/2)-139883099709090601443209367965 34579043/635092260037131682981632803267032241040*(147+42*7^(1/2))^(1/2 )*(147-42*7^(1/2))^(1/2)-18975564436865137422271586602532770363/444564 5820259921780871429622869225687280*(147+42*7^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2)*7^(1/2)-763661729216987298207767665084810349/76211071204455 8019577959363920438689248*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(1 47+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+94499230634394 68435029061294071819/18771199804053153191575353791143810080*(81872+301 30*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)+1299720036825390282724368675803728463/11431660680668370293 669390458806580338720*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1 /2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)-1708872736425106175519556377987043811/114316606806683702936693904 58806580338720*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-5685169398 024589299609536125739993/8891291640519843561742859245738451374560*(147 +42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^ (1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+459876 492140483870800791251073190307/381055356022279009788979681960219344624 0*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+484979039951718 773153469476659999289/3810553560222790097889796819602193446240*(81872+ 30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-96856518248001844287373540806798 383/8891291640519843561742859245738451374560*(147+42*7^(1/2))^(1/2)*7^ (1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), `b*`[9] = 7/30-1/6 0*7^(1/2), `b*`[8] = 0, `b*`[14] = -1/20, `b*`[13] = -1/25, `b*`[12] = 7/30-1/60*7^(1/2), b[18] = 0, a[18,17] = 0, a[18,16] = 0, `b*`[15] = \+ -1/30, c[18] = 1, `b*`[17] = 0, `b*`[16] = 0, a[7,6] = -14745753889978 48375/59173680805362055368+1199033592053976275/177521042416086166104*7 ^(1/2)+522211257095714275/88760521208043083052*(147+42*7^(1/2))^(1/2)+ 336490980823466425/1242647296912603162728*7^(1/2)*(147+42*7^(1/2))^(1/ 2)+113250225815580960475/261089073133458728797458*7^(1/2)*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)-14196169090862512210625/4177425170135339660759328*(81872+301 30*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)+749989145463651687875/1392475056711779886919776*(147+42*7^ (1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-24403249357910073775/15471945074575 3320768864*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^ (1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[18, 2] = 0, a[11,8] = 2204073891650841491799769926427036090902542680137750 94116815972284039140837837612275054351441745349822748125/1649598557018 7827417517836760294294028862865194027275463015803966138500407824949702 983786688148172986030779498694*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3 0130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2)) ^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-163789385608454117776428857444563 3961660614205145290328978893869167086616098913314278627118383487187349 70125/7855231223898965436913255600140140013744221520965369268102763793 39928590848807128713513651816579666001465690414*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)* (147-42*7^(1/2))^(1/2)-22269305032289761591312217125733956908505193437 26406306608527146724666643756784719354776957322257131447614125/1649598 5570187827417517836760294294028862865194027275463015803966138500407824 949702983786688148172986030779498694*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-41900791063893841194447642081109438437758160429105 4178913954818306601205412955765227163290835877181093613875/27493309283 6463790291963946004904900481047753233787924383596732768975006797082495 0497297781358028831005129916449*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2)+6805171049171996704705326931669041249449924349730080058 524098885701177093199633109041649363344588473714375/235656936716968963 1073976680042042004123266456289610780430829138019785772546421386140540 955449738998004397071242*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)* (147-42*7^(1/2))^(1/2)+19940082409256269182232488697279435036846182562 4031513380015443984861248882993484569143682761881598511882125/11782846 8358484481553698834002102100206163322814480539021541456900989288627321 0693070270477724869499002198535621*(147+42*7^(1/2))^(1/2)*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)+188225766632242276321515714586479250500166573065588049381771 295367775440705264576150623267112918078135602375/148612482614304751509 1697005431918380978636503966421212884306663616081117822067540809350152 08542098973250265754*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^( 1/2)-76133310274341588342625390239023478247877740486252177800524698961 828000662024300713638123901567823867038125/101096926948506633679707279 2810828830597711907460150484955310655521143617566032340686632756520694 550838437182*(147-42*7^(1/2))^(1/2)*7^(1/2)+52166223710366465038284316 7646162214154829671739156103306436862098308148082379957441620193571846 5119831629375/14861248261430475150916970054319183809786365039664212128 8430666361608111782206754080935015208542098973250265754*(147+42*7^(1/2 ))^(1/2)*(147-42*7^(1/2))^(1/2)-20275205287134562864496907908340212301 75514268512433446883312904143296842175090894650973725204359219570500/5 6108794456421181692237540001001000098173010864038351915019741381423470 774914794908108117986898547571533263601*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+13254779 1782824117731186489252849712533628815685576233023794687281919596634280 317847237720963195106787220875/112217588912842363384475080002002000196 3460217280767038300394827628469415498295898162162359737970951430665272 02*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+3405610134680198960751560830110710317 2298762450844733263099250820852180550285387745454047106658119594846981 25/1010969269485066336797072792810828830597711907460150484955310655521 143617566032340686632756520694550838437182-728372979994713705197064432 5509593366244913020189275110784743173279238821217141574545344404771578 588576186875/212303546591863930727385286490274054425519500566631601840 61523765944015968886679154419287886934585567607180822*(147+42*7^(1/2)) ^(1/2)-295066103751141904981329267752400806801805728188558829251696519 6665685473056833052836683166773659231936892125/70767848863954643575795 0954967580181418398335222105339468717458864800532296222638480642929564 4861855869060274*(147-42*7^(1/2))^(1/2)+134740229066764553719200856253 0779886215454195206612551868780768525123922728334315928482768053318547 044489625/212303546591863930727385286490274054425519500566631601840615 23765944015968886679154419287886934585567607180822*7^(1/2)*(147+42*7^( 1/2))^(1/2)-8205686819473186415135632599679191377323672383042019817373 1386716408540176617663045943296468587248680680875/10109692694850663367 9707279281082883059771190746015048495531065552114361756603234068663275 6520694550838437182*7^(1/2), a[9,8] = 40741587778625139025567704568412 1385692909478068272274951433974317046880884875/12708001341073330901093 91130906617431888858812630850771791181679715753760298213+1864460337989 375924415310051914492821439861414492702948026884914906603677875/470196 0496197132433404747184354484497988777606734147855627372214948288913103 3881*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)-1844332426917980460180388573326882122426192 55222243242499365381455371302895125/8895600938751331630765737916346322 023222011688415955402538271758010276322087491*7^(1/2)-2030686779391465 453787147875593891288093032990564328706998466780629439176875/230396064 3136594892368326120333697404014501027299732449257412385324661567420660 169*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*( 147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+3577658129252 09732466866698293767096132416679592459432473468417796082904806375/2668 6802816253994892297213749038966069666035065247866207614815274030828966 262473*(147+42*7^(1/2))^(1/2)+1582637697032736588022149750397592547662 510561804151725897981262696368255125/219424823155866180225554868603209 276572809621647593566595944036697586815944824778*7^(1/2)*(81872+30130* 7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+6087311511144369660908124260659847906083375970162949017059100 023179277074500/987411704201397811014996908714441744577643297414171049 681748165139140671751711501*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)-2464872478511142665289264214155851560310857181565129991591915048514 0744878750/26686802816253994892297213749038966069666035065247866207614 815274030828966262473*7^(1/2)*(147+42*7^(1/2))^(1/2), a[13,6] = -33506 913248583398942222188321339110646674043486831681769/135702664665496992 0806646121779037036750464998546293060721376*(147+42*7^(1/2))^(1/2)*(81 872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+5092254581999507697941471604 925860946100695177566193133/215401055024598400128039066949053497896899 20611845921598752*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^ (1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) -21538093125000204051587660521558330034244246114874794659/226171107775 828320134441020296506172791744166424382176786896*(147+42*7^(1/2))^(1/2 )*(147-42*7^(1/2))^(1/2)*7^(1/2)-4339092629342613112854018780772722258 3135278053873779158553501089063/17232011576311124246363482370771685519 3187201812959198208425744783645712*(147+42*7^(1/2))^(1/2)*7^(1/2)*(818 72+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)+1975537765284626939562526439388521920208973858913041 9520820275246087/57440038587703747487878274569238951731062400604319732 736141914927881904*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^ (1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-218671 1596770187514441959197565426000651429877707024855026310766581177/10339 20694578667454781808942246301131159123210877755189250554468701874272*7 ^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)+27683090978973871712514312784865178182204 84558287802023143439833019/8787359294396289773770261280352720815562835 3805690565124133475157392*7^(1/2)*(147+42*7^(1/2))^(1/2)+1180617153656 9207823789328036574237600476702361726953369/46157368933842514313151228 63194003526362125845395554628304*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+4349296159338810678870795668121201130985044315663256831/21540 105502459840012803906694905349789689920611845921598752*(81872+30130*7^ (1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)*(147-42*7^(1/2))^(1/2)+6642640680797875886240996735416534619746 47788416837645/3590017583743306668800651115817558298281653435307653599 792*(147-42*7^(1/2))^(1/2)*7^(1/2)+10131973012437103889831791729425199 910419265485126198809/512859654820472381257235873688222614040236205043 950514256*(147-42*7^(1/2))^(1/2)-1560544816445335018725514312851954441 1821575845180064951/13570266466549699208066461217790370367504649985462 93060721376*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7 ^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)+4055746502610011340266252337078758326192447440869828 37739981869200977/7385147818419053248441492444616436651136594363412537 0660753890621562448*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2)) ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-2694989080389088649601762561 853086495945751562046156938604030264241/878735929439628977377026128035 27208155628353805690565124133475157392*(147+42*7^(1/2))^(1/2)-40991285 9183855637833811834610122628115228032768273279005488772931/41844568068 55376082747743466834628959791826371699550720196832150352+3512337398008 833814578460746025463708343607806913641983383598768615/125533704205661 28248243230400503886879375479115098652160590496451056*7^(1/2), a[14,8] = -507860977602985456148679245953171578984123159634665251993073200815 6620358744570964381931824796620930306895126875/94705697366909091403929 3357007189562589367979452633853081485384728713523231336732582998199258 78474252921281447787*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)-193875530718048050832492356577036184183796013749870311734559458409 3443027925675014628576248029131117773207459875/13529385338129870200561 3336715312794655623997064661979011640769246959074747333818940428314179 82639178988754492541*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2) )^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+3309 3891873262006770556517828382427570710577952804572233648371525699906893 302888792757227328075659887712291250/130929535530289066457045164563205 9303118941907077373990435233250777023304006456312326725621095094114095 685918633*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^( 1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+5065012 1332794306778169013728900297267805733832625885872703579349439698852104 0175085372933893896415025916381250/91650674871202346519931615194244151 2183259334954161793304663275543916312804519418628707934766565879866980 1430431*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+ 42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+25555634779095517 2388867307427368794706086076872820176614274348910553027321011087003984 6952836898320525245667875/28411709210072727421178800710215686877681039 3835790155924445615418614056969401019774899459777635422758763844343361 *(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+6 5844114163224300920797494677651521844544741784470790476267179836562820 26771161064748672762580867362272454591250/1988819644705090919482516049 7150980814376727568505310914711193079302983987858071384242962184434479 59311346910403527*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+ 1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) *(147-42*7^(1/2))^(1/2)+4813407664041889255822976169447485219430103303 1046641628622653674961573513352966340695742330584884245896290923375/17 9172940964422605358785229704062890219610158274822620853253991705432288 17890154400218884850841873507309431625257*(147+42*7^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)*7^(1/2)+95645860438036783564435536324430258722165736 6137499706851120413863256239884991654438399226746345648512489179875/82 5681755596417536215600136885082443408341743201947561535732680670194876 40046794471054768897888818006034247121*7^(1/2)*(147+42*7^(1/2))^(1/2)- 1376079947787595900227894049696476725454396308460199465473880717259917 91771970335372513430807980646298745654500/1454772617003211849522724050 7022881145766021189748599893724813897522481155627292359185840234389934 6010631768737*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)-5225171391093490412624697132010394 6281799964642399221505758828843039651384999557454332265532875272220132 00524375/1218863543975663982032552583020835987888504478060017828933700 62384647815087688125171557039801645398008907698131*(147-42*7^(1/2))^(1 /2)*7^(1/2)-1371316850314336854855836292443929915469683080611765700310 7266504997374933352750689401761351131623629292252509500/12188635439756 6398203255258302083598788850447806001782893370062384647815087688125171 557039801645398008907698131*(147-42*7^(1/2))^(1/2)+1780559991477737107 7347378172156757646948887237686983558319955117700307292405342513659022 666474371837761084802000/255961344234889436226836042434375557456585940 3926037440760771310077604116841450628602697835834553358187061660751*(1 47+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-55866338733864560604733870 5411812585195225736251876582049006640421647654245210272700961832621008 50998748434875/1454772617003211849522724050702288114576602118974859989 37248138975224811556272923591858402343899346010631768737*7^(1/2)*(8187 2+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/ 2))^(1/2))^(1/2)-29430969132251338906780844974918816915760404896188056 0994267046488617174939735592574267992728564578799899356125/13106059612 6415481938984148711917848160054244952690089132655981058761091492137769 0016742363458552666762448367*7^(1/2)+603442870788924949625871956703111 4439241662880705535566820623663921559958877086891156416696319187847873 43276750/1179545365137739337450857338407260633440488204574210802193903 8295288498234292399210150681271126974000862035303*(147+42*7^(1/2))^(1/ 2)-9398779555805430538444945899086991711109805673946033375998934104647 16919008772558475905499403866739921901330500/1310605961264154819389841 4871191784816005424495269008913265598105876109149213776900167423634585 52666762448367, a[8,1] = 274269588567705488203702306851641817505965551 781478869800609622637247534413241/235550697350409436604072766938744109 5536001405258857435888985946972395453125000+91357921149871483434968545 77028074151639314387160836109868106220976195404111/1271973765692210957 66199294146921819158944075883978301538005241136509354468750000*(81872+ 30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)-4145738209086490668828242977318622978578992858545068061 307006810522839377998037/296793878661515890121131686342817578037536177 062616036922012229318521827093750000*7^(1/2)+4955160850492125226771645 9338878586638946223666606063436429622852992075741687/18698014355675501 077631296239597507416364779154944810326086770447066875106906250000*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42* 7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+34362811980832715096 5934126711950776481550384234312391712641434042279889557659/44519081799 2273835181697529514226367056304265593924055383018343977782740640625000 *(147+42*7^(1/2))^(1/2)-2628663232179191719506556472860010964932813667 2867250359010193221831137408911/17807632719690953407267901180569054682 25217062375696221532073375911130962562500000*7^(1/2)*(81872+30130*7^(1 /2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)-15221367358684476907229487731243136695722373972742891462526609756 188972402511/267114490795364301109018517708535820233782559356354433229 8110063866696443843750000*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+ 1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) -175003627145673467595715050840698613410422030413121925828878864866004 18741547/4451908179922738351816975295142263670563042655939240553830183 43977782740640625000*7^(1/2)*(147+42*7^(1/2))^(1/2), `b*`[18] = 1/30, \+ a[14,3] = 30778940933/3957059225836*7^(1/2)+459003115105/989264806459- 330027166045/20774560935639*(147+42*7^(1/2))^(1/2)-15330321823/2077456 0935639*7^(1/2)*(147+42*7^(1/2))^(1/2), a[5,1] = 814575217354/29677944 19377+13054629167/11871177677508*7^(1/2)-639063386975/124647365613834* (147+42*7^(1/2))^(1/2)-16107087271/62323682806917*7^(1/2)*(147+42*7^(1 /2))^(1/2), a[9,7] = 230577215869981920188634791599547161/248295891953 1217993550443190682138715-28602292051593186030117879352009568/52142137 310155577864559307004324913015*7^(1/2)*(147+42*7^(1/2))^(1/2)+66572398 639864897417900113862091081/7448876758593653980651329572046416145*(147 +42*7^(1/2))^(1/2)+180169271369741701884489309569703377/17380712436718 525954853102334774971005*7^(1/2)+2999715894387136714332422137531863/34 761424873437051909706204669549942010*7^(1/2)*(81872+30130*7^(1/2)+1848 *7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-390 262634398217849679394198222136/2482958919531217993550443190682138715*( 81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)-428766133903138353136983169905606/173807124367185 25954853102334774971005*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+18 48*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+4 014999234590486866179445367676427/364994961171089045051915149030274391 105*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*( 147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[14,9] = 19 33614621550311250912503960699361505747477/3410915513790481115718871768 652941008280-288327809292227796553812780793256866441457/76745599060285 82510367461479469117268630*(147+42*7^(1/2))^(1/2)-30178742141170853631 5480176200687135345262/26860959671100038786286115178141910440205*7^(1/ 2)*(147+42*7^(1/2))^(1/2)+667393248823155680146496841077873458000601/3 410915513790481115718871768652941008280*7^(1/2)+1486728431221967816059 0614284212428817304669/158607571391257371880927537242361756885020*(147 -42*7^(1/2))^(1/2)-141156047776416387884996780861298336113119/63443028 556502948752371014896944702754008*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)*7^(1/2)+7894650187691718101758116020263459649027779/22205059 9947760320633298552139306459639028*(147-42*7^(1/2))^(1/2)*7^(1/2)-1295 0504963127877902927525717628428944882789/22205059994776032063329855213 93064596390280*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+147007730 2918116396882147933067466513437/51163732706857216735783076529794115124 20*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+1431591305642861245227614947906232245 3003/20465493082742886694313230611917646049680*(81872+30130*7^(1/2)+18 48*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-4 3558457810019219081409752656982408241/23023679718085747531102384438407 35180589*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+13271049 6072180307884104755240323849138469/33307589992164048094994782820895968 94585420*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-89776318 791817122968546171432383700263427/133230359968656192379979131283583875 78341680*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147 +42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)-7449459009163720186710059276586925675469/1841894377446859802488 19075507258814447120*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848* 7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+2033 18231983021521566259854349962873483809/1903290856695088462571130446908 341082620240*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-114799243978 464282946264739770399518770119/466306259890296673329926959492543565241 95880*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2), a[14,1] = -8270259036040691370077214988450534746293617228 873/1080266692045515636853658419769050466750361594450*(147+42*7^(1/2)) ^(1/2)-9584982663585012177145754418857932522197542368871/2160533384091 031273707316839538100933500723188900*7^(1/2)*(147+42*7^(1/2))^(1/2)+32 7092625517102605299935902538819504565314667429/51441271049786458897793 25808424049841668388545*7^(1/2)+24595683284833625277872407482215898056 82823966699/17147090349928819632597752694746832805561295150+2991085618 948504666605818488635151358100353/112720320819407529324950933873198247 042225*(147-42*7^(1/2))^(1/2)+3141786538801943395642061784526983154197 1757/3156168982943410821098626148449550917182300*(147-42*7^(1/2))^(1/2 )*7^(1/2)-3933524681478410789453010851961100940548531/2367126737207558 115823969611337163187886725*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)-40810206913128570841279324367964792729697669/662795486418116272430 71149117440569260828300*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)* 7^(1/2)-2254554158453114723216721038037946375106257/300286934662901658 121669287838200130120487400*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3013 0*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)-27604188994438017026705535611684717713887409/21020085426403 11606851685014867400910843411800*(147+42*7^(1/2))^(1/2)*(81872+30130*7 ^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2) )^(1/2)+24581212673064914602903465297128822534350939/10009564488763388 6040556429279400043373495800*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+2163915188892815501 443376971204578758983087/20019128977526777208111285855880008674699160* 7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-5076883012502477004749408671222921506879 343/2102008542640311606851685014867400910843411800*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+100442210642965104079 62781337245505346504257/700669514213437202283895004955800303614470600* 7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+53814861443508874 80539492724737125694666743/1401339028426874404567790009911600607228941 20*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1299275346394527368783 2886568128588835988393/14714059798482181247961795104071806375903882600 *(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147 +42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2), a[6,5] = 64670461/77449662-155514541/119195029818*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)+171625382/7318993059*7^(1/2)-7528307/648950717898*(147+42*7^ (1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2) )^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-182341979/7318993059*(147+4 2*7^(1/2))^(1/2)-50209241/417182604363*7^(1/2)*(81872+30130*7^(1/2)+18 48*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1 8986896/139060868121*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848* 7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1001 9362/7318993059*7^(1/2)*(147+42*7^(1/2))^(1/2), a[10,1] = -11333796059 669508986918484634343/696039046279875681124259774549160*(147+42*7^(1/2 ))^(1/2)+10246465721822575034235000511949/3314471648951788957734570354 9960+7130472359249009517912709761991/696039046279875681124259774549160 *(147-42*7^(1/2))^(1/2)*7^(1/2)-3163710684228675411953492288687/487227 3323959129767869818421844120*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)*7^(1/2)-839479529879463849811215065617/13920780925597513622485195 4909832*7^(1/2)*(147+42*7^(1/2))^(1/2)+3779772328790539204517522704405 /46402603085325045408283984969944*7^(1/2)+1977509258535892484915654313 6937/696039046279875681124259774549160*(147-42*7^(1/2))^(1/2)-12522479 90555646840959655367247/696039046279875681124259774549160*(147+42*7^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)+2413662911980037430074333346527/1287 6722356177700100798805829159460*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+24300272 42946650734584417850873/3679063530336485743085373094045560*(81872+3013 0*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)-81600369148574653340398763704/19315083534266550151198208743 73919*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3642132148263701242 016234169619/540822338959463404233549844824697320*(147+42*7^(1/2))^(1/ 2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+146916710174194734728553414458/193150 8353426655015119820874373919*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)+13760834970008145310700957907551/540822338959463404233549844824697 320*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-9230887130885 38746304952886061/180274112986487801411183281608232440*(147+42*7^(1/2) )^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-91635822742574944 18197866053/6438361178088850050399402914579730*(147+42*7^(1/2))^(1/2)* 7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[17,7] = 404390 1342383228308395039687453073147370883/93838689912146079439871319045337 22984847935*7^(1/2)-2144578900721400402377081449804436920936027/225212 85578915059065569116570880935163635044*(147+42*7^(1/2))^(1/2)-15041667 77212807179168230733174012709363/1915354510526381560224811877292201804 75100*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+198245491793110949 6236403920729272449019/38307090210527631204496237545844036095020*(147- 42*7^(1/2))^(1/2)*7^(1/2)+53955992865301494213581245137213033390738980 3/375354759648584317759485276181348919393917400-6252634681623844691650 29979874221400621/191535451052638156022481187729220180475100*(147+42*7 ^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)-3531335921442922222363053 29616669724740493991/7882449952620270672949190799808327307272265400*7^ (1/2)*(147+42*7^(1/2))^(1/2)+30001499987379172340172286656447860934981 /191535451052638156022481187729220180475100*(147-42*7^(1/2))^(1/2)+692 50553017293697263697480024938743986/5458760355000187446640713850282775 14354035*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-67836728 24318873139551111184473062279767/3639173570000124964427142566855183429 026900*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)-315397589167271582824605083423521 3204863/519881938571446423489591795265026204146700*(81872+30130*7^(1/2 )+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)+309501006544629622964331504603433099703/109175207100003748932814277 0056555028708070*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-12790055 19997879453153458968959488192001/1819586785000062482213571283427591714 513450*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+114548917262290483 4196531778637598013911/25474214990000874750989997967986284003188300*(1 47+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2) )^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+8130 356490281433441189837023011502833/519881938571446423489591795265026204 146700*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^ (1/2))^(1/2)-211264978667486760246953350172590563638/90979339250003124 1106785641713795857256725*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(1 47+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2), a[11,1] = 12254269034807874155163817098130103/34586340218623 1788883244967628131740*(147-42*7^(1/2))^(1/2)*7^(1/2)+7249213408055027 0753472172812120493/2579152799160185625672198187169782404*7^(1/2)*(147 +42*7^(1/2))^(1/2)+5039904819574000064469612903651823501/6447881997900 4640641804954679244560100-1436914119827665003961451289151086849/135405 5219559097453477904048264135762100*(147+42*7^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2)-125571300334149436881596630721928921289/4513517398530324844 92634682754711920700*7^(1/2)-14286675388009664365771783052185245371/45 1351739853032484492634682754711920700*(147+42*7^(1/2))^(1/2)-276624944 38295342771871355958014534651/9478386536913682174345328337848950334700 *(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+238554139248256 0104722834281364348449/50150193317003609388070520306079102300*(147-42* 7^(1/2))^(1/2)-591818245021487475280014676663848013/715714901766951511 1240349969396146171100*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+184 8*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+18 208835369636227794410606483227919981/350700301865806240450777148500411 162383900*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^( 1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3956037 0431559469855453802592481454279/10020008624737321155736489957154604639 5400*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)+45071347224964856824764050004098806 03/14314298035339030222480699938792292342200*(81872+30130*7^(1/2)+1848 *7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+186 3828584843342843486552237151202711/10521009055974187213523314455012334 87151700*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147 +42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)+514073790831815687206491498260619553/11133342916374801284151655 507949560710600*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+4 31424240030355878737496438748865701/1113334291637480128415165550794956 0710600*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-11725655784577343 95309702862038230749/263025226399354680338082861375308371787925*(147+4 2*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^( 1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[3,1] = 856/204687*7^(1/2)*(147+42*7^(1/2))^(1/2)-20060/9747-15163/2 04687*7^(1/2)+4931/68229*(147+42*7^(1/2))^(1/2), a[5,3] = 30778940933/ 3957059225836*7^(1/2)+459003115105/989264806459-330027166045/207745609 35639*(147+42*7^(1/2))^(1/2)-15330321823/20774560935639*7^(1/2)*(147+4 2*7^(1/2))^(1/2), a[6,1] = 1622395884629/8371203785442+6095751125/4185 601892721*7^(1/2)-486728725759/87897639747141*(147+42*7^(1/2))^(1/2)-3 564315787/12556805678163*7^(1/2)*(147+42*7^(1/2))^(1/2)+314904761/1855 61683910631*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2)) ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+7689433315/79526435961699*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-57554150152/5010165465587037*(147+42*7^(1/2))^(1/2 )*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)+16047777499/10020330931174074*(147+42*7^(1/2)) ^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[13,8] = -333306521095918542576 6561812899088482585936036878975736559701434780923546274296169033876637 3549932832729375/22649343846345181284684084523660784691303907417973451 6839160397660584331958290299235368775414615645627638*7^(1/2)-789731589 6715641308626916567304569421268067164187021177252193608603731006617230 4671166070597346412322414375/22649343846345181284684084523660784691303 9074179734516839160397660584331958290299235368775414615645627638+10684 7325380319401777639153606280221341973212312906751064885108481894544164 53587103145734535424972441614375/5284846897480542299759619722187516427 97091173086047205958040927874696774569344031549193809300769839797822*( 147+42*7^(1/2))^(1/2)+519583928850990076767293851574322007243231817127 0664877546829001350996517875873743055704214739778273049375/52848468974 8054229975961972218751642797091173086047205958040927874696774569344031 549193809300769839797822*7^(1/2)*(147+42*7^(1/2))^(1/2)+29221993071009 8541974464549035511414843142094538419618411100980143200487322058012568 7906126613151403839375/52848468974805422997596197221875164279709117308 6047205958040927874696774569344031549193809300769839797822*(147+42*7^( 1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-52006884421338787433533160373432098 4311823046372832460940182855916502233966579081335850701517318946481856 25/1585454069244162689927885916656254928391273519258141617874122783624 090323708032094647581427902309519393466*(147-42*7^(1/2))^(1/2)*7^(1/2) -199153512800459483917670215656061022541293985890884541591956269286577 55446630847035557822384021729235721875/2264934384634518128468408452366 0784691303907417973451683916039766058433195829029923536877541461564562 7638*(147-42*7^(1/2))^(1/2)+224400421380363353971084696821839148445724 00345330513229840314172868429548990731092125993717697949381689375/1109 8178484709138829495201416593784498738914634806991325118859485368632265 956224662533069995316166635754262*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)*7^(1/2)+1177470470148941902382728716264475779989038366478364 906209041993990268013459714178577945916018675228882500/293309002810170 0976366588945814071617523856010627561993067127149704567098859859375098 0256416192726108779121*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+184 8*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-19 5059464702274072499411867025390647897920696397953725844434745114136951 28011346217864225960708529204079375/8799270084305102929099766837442214 8525715680318826859792013814491137012965795781252940769248578178326337 363*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)-155319127146688235152627683303283676 5268124155042542161991841500005683716920053197605871480068071393911812 5/25140771669443151225999333821263471007347337233950531369146804140324 860847370223215125934071022336664667818*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+77329222 3347723817793584534312236541888889010807067659975235477039318089502880 963159912645128899565931875/586618005620340195273317789162814323504771 20212551239861342542994091341977197187501960512832385452217558242*(147 +42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7 ^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+849512787528230036456 3884245071507371307827576150914350380344617498593466648765089946941014 616224675319375/123189781180271441007396735724191007936001952446357603 7088193402875918181521140937541170769480094496568723082*(147+42*7^(1/2 ))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-7484347900896941 5106999903349565726370652105440007849398978020398770726026464906498196 26562844055109253125/1759854016861020585819953367488442970514313606376 53719584027628982274025931591562505881538497156356652674726*7^(1/2)*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-338506115458757005976890725 0627054065933894275726566521479323989809691153417614333449412657894398 68651875/3034231063553483768655092012911108569852264838580236544552200 499694379757441233836308302387882006149184047*(81872+30130*7^(1/2)+184 8*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)+1642058794387749779333561643449956621490106218058 969596945492294061071537650740295403717398176629446021250/615948905901 3572050369836786209550396800097622317880185440967014379590907605704687 70585384740047248284361541*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2), a[10,6] = -1481447342388326660190540 9943746686230786682310052081/77840916634128293736518897998797535568860 32496441451591136*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^ (1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) +90193601081041005359254254304847048488926118006232957/648674305284402 447804324149989979463073836041370120965928*(147+42*7^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)*7^(1/2)-2015729790919034339882782552228313152961391 554211281/7784091663412829373651889799879753556886032496441451591136*( 147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2 ))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+536 7621147335831202110572988855241970840718092423513/52953004513012444718 720338774692201067251921744499670688*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+46792814290 0522216803735715016673924144442994570968933/92667757897771778257760592 855711351867690863052874423704*(147-42*7^(1/2))^(1/2)+2369045530393686 5653252032794104130875655308170307301/44127503760843703932266948978910 16755604326812041639224*7^(1/2)+13895614054092071765716299511858544991 575368504043579/661912556412655558984004234683652513340649021806245883 6*(147-42*7^(1/2))^(1/2)*7^(1/2)+2323273066916162290878698699827224229 38308698582183/7784091663412829373651889799879753556886032496441451591 136*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*( 147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-67925437416096546633569139642493434419474243928257093/778409 1663412829373651889799879753556886032496441451591136*(147+42*7^(1/2))^ (1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)-2199994246006306815384283657882727 77577808706581104179/9266775789777177825776059285571135186769086305287 4423704*(147+42*7^(1/2))^(1/2)-445986595762548533099274533560004117589 23542786019717/3706710315910871130310423714228454074707634522114976948 16*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+8584372341876449905319847823591241967 902915758022005/111201309477326133909312711426853622241229035663449308 4448*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42* 7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+19109257123720173943 0634941323689750086957348448970047/64867430528440244780432414998997946 3073836041370120965928*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+1 0212330301529062763275229017234100108584825308190501/11583469737221472 282220074106963918983461357881609302963*7^(1/2)*(147+42*7^(1/2))^(1/2) +6851503078929056479399467207009449872282361013166745/1112013094773261 339093127114268536222412290356634493084448*(81872+30130*7^(1/2)+1848*7 ^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)-6691715611349588058631467777382160266123119314372041 9/4412750376084370393226694897891016755604326812041639224, a[15,5] = - 1/1064*7^(1/2)*(147+42*7^(1/2))^(1/2)-69/152+3/304*7^(1/2)-41/2128*(14 7+42*7^(1/2))^(1/2), a[16,3] = -680/5526549*7^(1/2)*(147+42*7^(1/2))^( 1/2)-18680/263169-17560/5526549*7^(1/2)-8320/1842183*(147+42*7^(1/2))^ (1/2), a[4,3] = 125/152+1/152*7^(1/2)-41/3192*(147+42*7^(1/2))^(1/2)-1 /1596*7^(1/2)*(147+42*7^(1/2))^(1/2), a[5,4] = -7391600435/52066568761 -5518923/52066568761*7^(1/2)+202379726/52066568761*(147+42*7^(1/2))^(1 /2)+58663649/364465981327*7^(1/2)*(147+42*7^(1/2))^(1/2), a[12,9] = -9 498732829925792146099807115820629/816157651088842474875162473082960*(1 47+42*7^(1/2))^(1/2)+2343061758021957196009469354068817/12954883350616 547220240674175920-639722454357118804344978916679953/16323153021776849 4975032494616592*7^(1/2)*(147+42*7^(1/2))^(1/2)+8464629685945660765847 96431129139/12954883350616547220240674175920*7^(1/2)+10793661660552818 460957956436836393/816157651088842474875162473082960*(147-42*7^(1/2))^ (1/2)*7^(1/2)+3168958603011575888006839317688347/906841834543158305416 84719231440*(147-42*7^(1/2))^(1/2)-5320873520912203646163476673427339/ 2448472953266527424625487419248880*(147+42*7^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2)-2018072192179788459102970532003279/244847295326652742462548 7419248880*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)-84759 0988231782551488083324745/139912740186658709978599281099936*(147+42*7^ (1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2) )^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-142603770013493289920521292 98201/979389181306610969850194967699552*(147+42*7^(1/2))^(1/2)*(81872+ 30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)+18748740954165629228976352924831/7772930010369928332144 4045055520*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+17170837512437065866260246409533/1813 68366908631661083369438462880*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1050030063 9161790683679540194971/699563700933293549892996405499680*7^(1/2)*(8187 2+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/ 2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+391003721618921222866820469695 51/979389181306610969850194967699552*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)-6379975877854660443865768473511/68557242691462767889513647 73896864*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1 /2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2)-17111311415275680783742391174921/6855724269146276788951 364773896864*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)* (147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2), a[8,7] = -107841317722792511491971878608151704937397444715 072383906855831812115945709729/849870746509535399333680402989540242791 831345617525468667105976027194078125000+736723283150570144369171719128 0596829997394692931626557510607299691709519383/44618214191750608465018 22115695086274657114564492008710502306374142768910156250*7^(1/2)*(147+ 42*7^(1/2))^(1/2)-1257655059982429260311593836020381443948715801009835 10311118444723192950103409/1784728567670024338600728846278034509862845 8257968034842009225496571075640625000*(147+42*7^(1/2))^(1/2)+317840066 736155176051002501298684443901039610182032191821815713412500128121791/ 5949095225566747795335762820926781699542819419322678280669741832190358 546875000*7^(1/2)-1211352048741510079573903601797003784188871667998229 267364268866665176634809/198303174185558259844525427364226056651427313 9774226093556580610730119515625000*7^(1/2)*(81872+30130*7^(1/2)+1848*7 ^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+12152 7456103331196296413666661360926677741397221859155594744790530476296310 9/84987074650953539933368040298954024279183134561752546866710597602719 4078125000*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)-4169195977804735138018658970574655049 641777394498867211292264624004043334417/535418570301007301580218653883 41035295885374773904104526027676489713226921875000*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)+60966032863862497230200429762297755979049063 37572071945100400782082557624947/1873964996053525555530765288591936235 35598811708664365841096867713996294226562500*(147+42*7^(1/2))^(1/2)*7^ (1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2), a[13,11] = -1834355/364008*(147-42*7^(1/2 ))^(1/2)-1290125/121336*7^(1/2)+283855/849352*(147+42*7^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)-4309885/2548056*(147-42*7^(1/2))^(1/2)*7^(1/2)+3 18715/121336*(147+42*7^(1/2))^(1/2)-4557565/121336+80925/849352*(147+4 2*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+415745/849352*7^(1/2)* (147+42*7^(1/2))^(1/2), a[18,1] = 188900136871147827929961646329659863 /46484967705801497363883689043265650600*7^(1/2)*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)* (147-42*7^(1/2))^(1/2)-329094878844444334506282772339164161/4880921609 10915722320778734954289331300*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1 /2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)*(147-42*7^(1/2))^(1/2)-1183071405328663286017444547361210217/2512 700957070351208858577786122467600*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)+475356275788322691341373300967038407/16751339713802341392390 5185741497840*(147-42*7^(1/2))^(1/2)*7^(1/2)+9801966272470372820979328 81795352987/30989978470534331575922459362177100400*7^(1/2)*(81872+3013 0*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)+1003971170836840799872177201483501001/929699354116029947277 67378086531301200*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-9778295 1122223133335253604408021933/18593987082320598945553475617306260240*(1 47+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2) )^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+186450409315253383527857199 784708159/2213569890752452255423032811584078600*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)- 9087437556226257810114337338904091/46484967705801497363883689043265650 60*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(1 47+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+63164171281027 70131826063931360437263/837566985690117069619525928707489200*(147-42*7 ^(1/2))^(1/2)+151743698921186620720759049348721379/7976828435143972091 614532654357040*7^(1/2)-76250144407059289869832287545033497/2393048530 5431916274843597963071120*(147+42*7^(1/2))^(1/2)-140903648617618726517 252809805336021/119652426527159581374217989815355600*7^(1/2)*(147+42*7 ^(1/2))^(1/2)-491863996695380473055492357651617193/1952368643643662889 283114939817157325200*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1 /2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)*(147-42*7^(1/2))^(1/2)+676904139900050832422070415489792057/13294 714058573286819357554423928400-3099321472009930476540293517557097403/1 7588906699492458462010044502857273200*(147+42*7^(1/2))^(1/2)*(147-42*7 ^(1/2))^(1/2)*7^(1/2), a[18,3] = 46/171-1/171*7^(1/2)+41/3591*(147+42* 7^(1/2))^(1/2)+2/3591*7^(1/2)*(147+42*7^(1/2))^(1/2), a[18,5] = 1/3192 *7^(1/2)*(147+42*7^(1/2))^(1/2)+23/152-1/304*7^(1/2)+41/6384*(147+42*7 ^(1/2))^(1/2), a[18,6] = -15417045288408252527559519361560530607731910 276615485941/442500801601793808876343571705182513548100549763064377740 +40163635233012176760870746306365571041777172486022931481/531000961922 1525706516122860462190162577206597156772532880*7^(1/2)-237310331314742 55435885886140389787485536846581598015363/6969387625228252489802411254 356624588382583658768263949405*(147+42*7^(1/2))^(1/2)+1420422656177506 3390028819905061718357377132047948954382/69693876252282524898024112543 56624588382583658768263949405*7^(1/2)*(147+42*7^(1/2))^(1/2)+368436290 73407201073438458558939925515803584905185868311/1593002885766457711954 8368581386570487731619791470317598640*(147-42*7^(1/2))^(1/2)*7^(1/2)+1 1193339954984942196249589974388786762749803639977651621/31860057715329 15423909673716277314097546323958294063519728*(147-42*7^(1/2))^(1/2)+60 601364090335026314583284282206857249095962781889799435/234171424207669 283657361018146382586169654810934613668700008*(147+42*7^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)*7^(1/2)+9715322433941617768954807051152701754221 6525922472078003/33453060601095611951051574020911798024236401562087666 9571440*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-7218794119665962 6066447856530949443571405794222881958393/13381224240438244780420629608 36471920969456062483506678285760*(147+42*7^(1/2))^(1/2)*(81872+30130*7 ^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2) )^(1/2)-60202891544028632772889979743281919980107551326942160301/13381 22424043824478042062960836471920969456062483506678285760*(147+42*7^(1/ 2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+872651353926254221062108862156 18421415880099581915526583/6372011543065830847819347432554628195092647 9165881270394560*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+2080712172126248867272991265575 8080470451724380631438969/89208161602921631869470864055764794731297070 832233778552384*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+231122113290931144583682 085893689613164005617617823944549/133812242404382447804206296083647192 0969456062483506678285760*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^ (1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) +62671526089493088449056713162169763605245064424722980917/133812242404 3824478042062960836471920969456062483506678285760*7^(1/2)*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2)-5384100621344468333649217213224662523 0949175630113712579/56201141809840628077766644355131820680717154624307 28048800192*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*( 147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-108848478922667630295072741394223687867158931425250480131/28 100570904920314038883322177565910340358577312153640244000960*(147+42*7 ^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2 ))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[ 18,7] = 4043901342383228308395039687453073147370883/938386899121460794 3987131904533722984847935*7^(1/2)-214457890072140040237708144980443692 0936027/22521285578915059065569116570880935163635044*(147+42*7^(1/2))^ (1/2)-1504166777212807179168230733174012709363/19153545105263815602248 1187729220180475100*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+1982 454917931109496236403920729272449019/383070902105276312044962375458440 36095020*(147-42*7^(1/2))^(1/2)*7^(1/2)+539559928653014942135812451372 130333907389803/375354759648584317759485276181348919393917400-62526346 8162384469165029979874221400621/19153545105263815602248118772922018047 5100*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)-35313359214 4292222236305329616669724740493991/78824499526202706729491907998083273 07272265400*7^(1/2)*(147+42*7^(1/2))^(1/2)+300014999873791723401722866 56447860934981/191535451052638156022481187729220180475100*(147-42*7^(1 /2))^(1/2)+69250553017293697263697480024938743986/54587603550001874466 4071385028277514354035*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^( 1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)-6783672824318873139551111184473062279767/36391735700001249644271 42566855183429026900*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3153975891672715828 246050834235213204863/519881938571446423489591795265026204146700*(8187 2+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/ 2))^(1/2))^(1/2)+309501006544629622964331504603433099703/1091752071000 037489328142770056555028708070*(147+42*7^(1/2))^(1/2)*(81872+30130*7^( 1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)-1279005519997879453153458968959488192001/18195867850000624822135 71283427591714513450*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2) )^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+1145 489172622904834196531778637598013911/254742149900008747509899979679862 84003188300*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*( 147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)+8130356490281433441189837023011502833/5198819385714464234895 91795265026204146700*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/ 2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)-211264978667486760246953350172590563638/909 793392500031241106785641713795857256725*7^(1/2)*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)* (147-42*7^(1/2))^(1/2), a[12,7] = -34587818566930698014529998434788381 4079/5040406606648372526907399677084741591450*(147+42*7^(1/2))^(1/2)-9 8416012560900405024964627696597035337/21169707747923164613011078643755 914684090*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)-117587 3677213500117183704218920258635197/10584853873961582306505539321877957 3420450*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+1146388140637203 556706251261202528742673/15121219819945117580722199031254224774350*(14 7-42*7^(1/2))^(1/2)*7^(1/2)+3952209319425366313358686448641420361589/5 040406606648372526907399677084741591450*7^(1/2)-2696874359658848594174 44767096607365529/5040406606648372526907399677084741591450*7^(1/2)*(14 7+42*7^(1/2))^(1/2)+2872779058468639347983457302270191606217/151212198 19945117580722199031254224774350*(147-42*7^(1/2))^(1/2)+85416955821769 1490161945484227754706347/720058086664053218129628525297820227350+6085 405730590688722983983900956716859/176414231232693038441758988697965955 70075*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-91951661692 8837341657017210282512151/720058086664053218129628525297820227350*(818 72+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)-2720559467525917891396037027108987863/72005808666405 3218129628525297820227350*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(1 47+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-15949990391183 0238713723489055383841/720058086664053218129628525297820227350*(147+42 *7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+48200680131854142408974084977373 3452/7560609909972558790361099515627112387175*(147+42*7^(1/2))^(1/2)*( 81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-33304183546108113030610597 883976769609/105848538739615823065055393218779573420450*7^(1/2)*(81872 +30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-7202796953006527421411087284086 856933/7560609909972558790361099515627112387175*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)* (147-42*7^(1/2))^(1/2)+648132003164934234627415237800780667/3528284624 6538607688351797739593191140150*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+ 30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[17,16] = -27/40, a[15,7] = 20 0343/2606420*7^(1/2)+374283/5212840-177381/36489880*7^(1/2)*(147+42*7^ (1/2))^(1/2)-6474/651605*(147+42*7^(1/2))^(1/2), a[17,5] = 1/3192*7^(1 /2)*(147+42*7^(1/2))^(1/2)+23/152-1/304*7^(1/2)+41/6384*(147+42*7^(1/2 ))^(1/2), a[17,12] = 127/722-103/1444*7^(1/2)-55/4332*(147+42*7^(1/2)) ^(1/2)+41/30324*7^(1/2)*(147+42*7^(1/2))^(1/2), a[17,11] = -90745/5776 -30065/5776*7^(1/2)-101609/121296*(147-42*7^(1/2))^(1/2)*7^(1/2)-40867 /17328*(147-42*7^(1/2))^(1/2)+18311/121296*(147+42*7^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)+6007/121296*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)*7^(1/2)+11541/40432*7^(1/2)*(147+42*7^(1/2))^(1/2)+6231/5776*(1 47+42*7^(1/2))^(1/2), a[13,4] = -14753702975/416532550088+420366162735 25/7906204333220328*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2)) ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+128447350/468599118849*7^(1/ 2)+48045631788725/249045436496440332*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)+85572976175/5623189426188*(147+42*7^(1/2))^(1/2)-1 148670097025/2635401444406776*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3782142051 72575/498090872992880664*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 25159175225/39362325983316*7^(1/2)*(147+42*7^(1/2))^(1/2), a[15,2] = 2 7185/9747+16360/204687*7^(1/2)-5710/68229*(147+42*7^(1/2))^(1/2)-970/2 04687*7^(1/2)*(147+42*7^(1/2))^(1/2), a[13,12] = -3075/2092+75/523*7^( 1/2)-65/21966*7^(1/2)*(147+42*7^(1/2))^(1/2)-185/3138*(147+42*7^(1/2)) ^(1/2), a[16,15] = 18680/263169+17560/5526549*7^(1/2)+8320/1842183*(14 7+42*7^(1/2))^(1/2)+680/5526549*7^(1/2)*(147+42*7^(1/2))^(1/2), a[11,6 ] = 3340290993590094478090016117387500034887055444070308031529/1315623 48367803706403025264678122482657346793274459368602160*7^(1/2)-78260020 724024495921312549325932094622626000466056499807213/381530810266630748 5687732675665551997063057004959321689462640-37689066624237638619086360 85757214679534755564205627068111297/7210932314039321147949814757007893 27444917773937311799308438960*(147+42*7^(1/2))^(1/2)+22122401400839834 77719341520756064398017664096063061631235019/7210932314039321147949814 75700789327444917773937311799308438960*7^(1/2)*(147+42*7^(1/2))^(1/2)- 24271947171415434332121638838282398148339123572965279828849/8012147015 5992457199442386188976591938324197104145755478715440*(147-42*7^(1/2))^ (1/2)*7^(1/2)+85964069522649815410433272218434962576063406902654471900 75/2289184861599784491412639605399331198237834202975593013677584*(147- 42*7^(1/2))^(1/2)+7299715956742907803460714831198427180170159610710359 36132301/1682550873275841601188290109968508430704808139187060865053024 240*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-22455121791900021229 928143695139915755754438465942124627989/240364410467977371598327158566 929775814972591312437266436146320*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)*7^(1/2)+3526365617717826078960127306523747716657942131546043 8660331/43265593884235926887698888542047359646695066436238707958506337 60*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^ (1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-2139513258090584967863 20919975472322236267435161081058656321/3028591571896514882138922197943 3151752686546505367095570954436320*(147+42*7^(1/2))^(1/2)*7^(1/2)*(818 72+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)+1639599711178902380128858635234703655447225339577209 3890853/22891848615997844914126396053993311982378342029755930136775840 *(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42 *7^(1/2))^(1/2))^(1/2)-11007616960445088184367587885672305449243592058 983595842215/320485880623969828797769544755906367753296788416583021914 86176*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)+2942427636771130791500343885467041 7087705174960169715517/10095305239655049607129740659811050584228848835 122365190318145440*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2) +1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )*(147-42*7^(1/2))^(1/2)-209948364886807706223468600104708221074451913 020941775579/144218646280786422958996295140157865488983554787462359861 6877920*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+ 42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2)+59433604214247835073655330432197386772717495759814907464557/3365 101746551683202376580219937016861409616278374121730106048480*7^(1/2)*( 81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-21297548567935285668491028 022841950018062218318617463478103/480728820935954743196654317133859551 629945182624874532872292640*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42* 7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2), a[4,1] = 125/456+1/456*7^(1/2)-41/9576*(147+42*7^(1/2))^(1/2)-1/47 88*7^(1/2)*(147+42*7^(1/2))^(1/2), a[8,6] = -6169219681021727242269732 99936512092486082017735125978085528697240983689279189787121/3251586380 6394556928275541351862901517262184032859072757895560413698816663537458 593750*7^(1/2)+8789364366436082916589727811258068989963849598446025828 66361364925862894494000321073/1625793190319727846413777067593145075863 1092016429536378947780206849408331768729296875-53544189459947356285569 0905334517159783875219230195083667667165162036297866495148977/18208883 7315809518798343031570432248496668230584010807444215138316713373315809 768125000*7^(1/2)*(147+42*7^(1/2))^(1/2)+72817834894125046032526572949 33476499735864755103070824169372031029758424100224773541/9104441865790 4759399171515785216124248334115292005403722107569158356686657904884062 5000*(147+42*7^(1/2))^(1/2)+327312965593065314516024968826208383931512 9014838179010197294734328876650839586780901387/10712286299289073990906 520547288529179058992005257355801943176587172247752169088658793750000* 7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-1234257371316424734714084123466162690587 990958485510509090293315827515308458877756968407/153032661418415342727 2360078184075597008427429322479400277596655310321107452726951256250000 *(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42 *7^(1/2))^(1/2))^(1/2)-35318918093341178844906979615892747773985580761 21845445934361026402799365469054705517/1713965807886251838545043287566 16466864943872084117692831090825394755964034705418540700000*(147+42*7^ (1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)+94083706966913010469642205790742338 621858790835817435763099822790151213198442109694889/107122862992890739 9090652054728852917905899200525735580194317658717224775216908865879375 0000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)* (147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[17,14] = \+ -23/152+1/304*7^(1/2)-41/6384*(147+42*7^(1/2))^(1/2)-1/3192*7^(1/2)*(1 47+42*7^(1/2))^(1/2), a[2,1] = 1/10, a[17,8] = -8764319351457415464074 1522604453577301283208261713092881913283217670928888959308585037472017 9108614282875/10781846282759425652760538686677053172757579716342607052 012514479524090965509698427371019703919858649908*7^(1/2)+9900974736444 0683690337980271980266804805049384761137663671025615705007958733404299 0667844499204362709125/75472923979315979569323770806739372209303058014 398249364087601356668636758567888991597137927439010549356*(147+42*7^(1 /2))^(1/2)+64414592839321226625750082301922734574253435166754163020878 438736803776543793787914144146027897759293875/323455388482782769582816 1606003115951827273914902782115603754343857227289652909528211305911175 9575949724*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-2760439631387 8245081858366170497049578160222885393221598065973351952057034861942288 06686251464019064963125/2264187719379479387079713124202181166279091740 43194748092262804070005910275703666974791413782317031648068*(147-42*7^ (1/2))^(1/2)*7^(1/2)-2288693817015524977562634243938125127847450320768 608667437016943030325595522195586125055925240122707008625/107818462827 5942565276053868667705317275757971634260705201251447952409096550969842 7371019703919858649908+17249096557317929067939149322902743250435633267 8627137443232961973787960343477279261509883878308291523875/22641877193 7947938707971312420218116627909174043194748092262804070005910275703666 974791413782317031648068*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) *7^(1/2)+3857585415236055279657264348670579574630598193682226359036328 64889559153181428661490500720743800033453375/7547292397931597956932377 0806739372209303058014398249364087601356668636758567888991597137927439 010549356*7^(1/2)*(147+42*7^(1/2))^(1/2)-10381315629299485559789722574 1175297638785222220828856975585546722809878156536136380892012177098609 5224625/32345538848278276958281616060031159518272739149027821156037543 438572272896529095282113059111759575949724*(147-42*7^(1/2))^(1/2)+1020 9005027883352517972275816107814940156045017135077881729172726480317521 885083277053940359189666809375/139624909361734562203248975992467838587 2106573266367613235620625098369780033505946344547051657621695163086*(1 47+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3278501104249116210 8625030492466901823537881702808776361346436852379622210035632071987183 3430445725411125/27924981872346912440649795198493567717442131465327352 26471241250196739560067011892689094103315243390326172*7^(1/2)*(81872+3 0130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2)) ^(1/2))^(1/2)-12384455199249124698480359113247465717627824628151486044 4514012985013035930451066632518108778226813173375/39892831246209874915 2139931407050967392030449504676460924463035742391365723858841812727729 045034770046596*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+89899746249221595463506869461151 4099123323271356608318344406433294329068805621305101329413020262237512 5/46541636453911520734416325330822612862403552442212253774520687503278 9926677835315448182350552540565054362*(147+42*7^(1/2))^(1/2)*(81872+30 130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2)-506507182258081045538553666318905558463121834734677623714 293132898705620110992944068637426654661486748375/125662418425561105982 9240783932210547284895915939730851912058562588532802030155351710092346 4918595256467774*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+44207631 6539967842248962045874092748309654146566174028073308324942178515106321 676544854014950099896972875/175927385795785548376093709750509476619885 428231562319267688198762394592284221749239412928508860333590548836*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2)) ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+16632 1718073229703531871109776970287115793737334314162133591524248415846129 083691768131049898143601402875/175927385795785548376093709750509476619 885428231562319267688198762394592284221749239412928508860333590548836* (147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+ 42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2)-1911137060744190645351405208293153889155283091745675698271733393 93842280454276891501662253277984198657125/1256624184255611059829240783 9322105472848959159397308519120585625885328020301553517100923464918595 256467774*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[13,5 ] = 175585925/252555664-32843525/47733020496*7^(1/2)*(147+42*7^(1/2))^ (1/2)-52282675/3409501464*(147+42*7^(1/2))^(1/2)-20499575/2273000976*7 ^(1/2)+7317529975/508138460188704*7^(1/2)*(81872+30130*7^(1/2)+1848*7^ (1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-535206 235775/254069230094352*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/ 2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+7820003047075/32012722991 888352*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+4 2*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-636957235375/16006 361495944176*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848* 7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), c[7 ] = 5/6, c[2] = 1/10, a[11,10] = -1685977511/18955709640*7^(1/2)*(147+ 42*7^(1/2))^(1/2)+2284927279/398069902440*(147+42*7^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)*7^(1/2)-362337631/28433564460*(147+42*7^(1/2))^(1/2) *(147-42*7^(1/2))^(1/2)-924299009/18955709640*(147-42*7^(1/2))^(1/2)*7 ^(1/2)+284775197/1353979260*(147+42*7^(1/2))^(1/2)+240369427/473892741 0*(147-42*7^(1/2))^(1/2)+60985271/100294760*7^(1/2)-65249453/50147380, a[14,4] = -7391600435/52066568761-5518923/52066568761*7^(1/2)+2023797 26/52066568761*(147+42*7^(1/2))^(1/2)+58663649/364465981327*7^(1/2)*(1 47+42*7^(1/2))^(1/2), a[15,1] = 856/204687*7^(1/2)*(147+42*7^(1/2))^(1 /2)-20060/9747-15163/204687*7^(1/2)+4931/68229*(147+42*7^(1/2))^(1/2), a[14,12] = -196385/188803+829/188803*7^(1/2)+14809/1321621*7^(1/2)*(1 47+42*7^(1/2))^(1/2)-27343/377606*(147+42*7^(1/2))^(1/2), a[12,11] = - 16199/2088*7^(1/2)-27391/2088+6547/14616*(147+42*7^(1/2))^(1/2)+9071/1 4616*7^(1/2)*(147+42*7^(1/2))^(1/2)-101179/43848*(147-42*7^(1/2))^(1/2 )-45839/43848*(147-42*7^(1/2))^(1/2)*7^(1/2)+67729/920808*(147+42*7^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+15875/131544*(147+42*7^(1/2) )^(1/2)*(147-42*7^(1/2))^(1/2), c[5] = 34/57+1/114*7^(1/2)-41/2394*(14 7+42*7^(1/2))^(1/2)-1/1197*7^(1/2)*(147+42*7^(1/2))^(1/2), c[3] = 125/ 171+1/171*7^(1/2)-41/3591*(147+42*7^(1/2))^(1/2)-2/3591*7^(1/2)*(147+4 2*7^(1/2))^(1/2), a[9,1] = 220144219553542885001521879597/414308956118 9736197168212943745-7534170919465261840217609623/124292686835692085915 04638831235*7^(1/2)*(147+42*7^(1/2))^(1/2)+163996853894308222419120784 613/174009761569968920281064943637290*(147+42*7^(1/2))^(1/2)-393812766 805145617588888061086/29001626928328153380177490606215*7^(1/2)+3718835 8191716092870461460579/4292240785392566700266268609719820*7^(1/2)*(818 72+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)+4766175689110042112504961151/68130806117342328575655 057297140*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)+14664540375066088813704786887/12876722 356177700100798805829159460*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)+2813731379193624295707634743/1669204749874887050103548903779930*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42* 7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[3,2] = 27185/9747 +16360/204687*7^(1/2)-5710/68229*(147+42*7^(1/2))^(1/2)-970/204687*7^( 1/2)*(147+42*7^(1/2))^(1/2), a[17,15] = -18928/87723+15163/1842183*7^( 1/2)-4931/614061*(147+42*7^(1/2))^(1/2)-856/1842183*7^(1/2)*(147+42*7^ (1/2))^(1/2), a[15,13] = -374283/5212840+177381/36489880*7^(1/2)*(147+ 42*7^(1/2))^(1/2)+6474/651605*(147+42*7^(1/2))^(1/2)-200343/2606420*7^ (1/2), a[13,1] = 2920805792445908050615919820662165843074915123/314299 75118810799257272498950648525502252080-1430830093157547418089962282686 8877/29289643085409481248228908443959480*(147+42*7^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)*7^(1/2)+274324560437257877333595058876735759/13482534 118680554860295846744044840*(147-42*7^(1/2))^(1/2)-1524317727420129452 31130207986709481/121342807068124993742662620696403560*(147+42*7^(1/2) )^(1/2)*(147-42*7^(1/2))^(1/2)+104908966807159089171330270792024281/13 482534118680554860295846744044840*(147-42*7^(1/2))^(1/2)*7^(1/2)-14431 1487156285014642509305911546381424934199/23572481339108099442954374212 986394126689060*(147+42*7^(1/2))^(1/2)-1224427442481256338305104383339 514222451411209/660029477495026784402722477963619035547293680*7^(1/2)* (147+42*7^(1/2))^(1/2)+2997839648310812043927960559844332173128926987/ 94289925356432397771817496851945576506756240*7^(1/2)-13213614261087803 603232782867714281625514113/116290907939599957251908246117399544358332 6960*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42* 7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+86927745635138020603 10478634819463671043550533/1465265440038959461374043901079234258914991 96960*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)+3594617489539926824041919505263996 434343983757/20932363429127992305343484301131917984499885280*(81872+30 130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2)-165591529616547679634476302471850354443328951/48842181334 631982045801463369307808630499732320*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-148978100463071296539715307051243/8127875956201131 0463835220931987557*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7 ^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)+3421323010753589589130270105881763/29931225743470831 7898567797717795448*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42* 7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)+6373753789993500825249988599568883/21379446959622022707040556979842 5320*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-33917838214846405542 575944889540129/47141680545966560069024428140552783060*(147+42*7^(1/2) )^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), c[8] = 9 696052372969447/1424778961231272150*(147+42*7^(1/2))^(1/2)-13460356184 47661/1424778961231272150*7^(1/2)*(147+42*7^(1/2))^(1/2)-5509820395095 13/22615539067163050*7^(1/2)+7139251608029666/33923308600744575+162581 85291863/8548673767387632900*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+301 30*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)+748123489349/305309777406701175*(147+42*7^(1/2))^(1/2)*(81 872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)+4728339326944/712389480615636075*7^(1/2)*(81872+301 30*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)+43021804800073/407079703208934900*(81872+30130*7^(1/2)+184 8*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a [13,10] = 197765/2548056*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) *7^(1/2)-246223/364008*(147-42*7^(1/2))^(1/2)-10097/364008*(147+42*7^( 1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-2104895/2548056*(147-42*7^(1/2))^(1 /2)*7^(1/2)+172929/121336*(147+42*7^(1/2))^(1/2)-3729/4184*7^(1/2)*(14 7+42*7^(1/2))^(1/2)-767899/121336+870451/121336*7^(1/2), a[14,10] = -1 52603238/1582668605*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1 /2)+1255506211/3798404652*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2 )+801054349/1899202326*(147-42*7^(1/2))^(1/2)*7^(1/2)+29244496043/9043 82060+5560588343/3165337210*7^(1/2)*(147+42*7^(1/2))^(1/2)-2323491656/ 226095515*7^(1/2)-6528222031/2713146180*(147-42*7^(1/2))^(1/2)-4586184 623/904382060*(147+42*7^(1/2))^(1/2), a[17,13] = -717523/5212840-22017 /2606420*7^(1/2)-1468/1954815*(147+42*7^(1/2))^(1/2)+68359/109469640*7 ^(1/2)*(147+42*7^(1/2))^(1/2), a[13,7] = -4952069844059245811321733112 7982736199619/527226531055419766314514006223063970465670*7^(1/2)*(147+ 42*7^(1/2))^(1/2)-90053694324237514180796150888873769123/1054453062110 83953262902801244612794093134*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2 )*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^ (1/2))^(1/2)+205396131188900390373936168999155512157/22143514304327630 18520958826136868675955814*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2) +1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )*(147-42*7^(1/2))^(1/2)-30329744818213935363802431839963663789/527226 531055419766314514006223063970465670*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)+362191950255980381929398388914842469323/2636132655 27709883157257003111531985232835*(147+42*7^(1/2))^(1/2)*(81872+30130*7 ^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2) )^(1/2)+43681354859820501381460658054272007612/79083979658312964947177 1009334595955698505*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2 )+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)*(147-42*7^(1/2))^(1/2)-4636360088326795195182763712179456588187/527 226531055419766314514006223063970465670*(147+42*7^(1/2))^(1/2)*(147-42 *7^(1/2))^(1/2)*7^(1/2)-377532190254432260836071077520078081534/263613 265527709883157257003111531985232835*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)-1894292585307834629508110195934081020109/75318075865059966 616359143746151995780810*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^( 1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+40143124902548428363246 2248618264503917/263613265527709883157257003111531985232835*7^(1/2)*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-13853016224722512178930135011942749308223/52722653 1055419766314514006223063970465670*(147+42*7^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2)+87682067917450173873978992795173519424007/52722653105541976 6314514006223063970465670*(147-42*7^(1/2))^(1/2)*7^(1/2)-1277088470038 4986336129302197442275484261/75318075865059966616359143746151995780810 *(147+42*7^(1/2))^(1/2)+211281919703340308383552192089947471936283/527 226531055419766314514006223063970465670*(147-42*7^(1/2))^(1/2)+2887934 2109344125784502828162882699840397/75318075865059966616359143746151995 780810*7^(1/2)+370864937650092554259748402988888269033389/753180758650 59966616359143746151995780810, c[15] = 125/171+1/171*7^(1/2)-41/3591*( 147+42*7^(1/2))^(1/2)-2/3591*7^(1/2)*(147+42*7^(1/2))^(1/2), c[14] = 3 4/57+1/114*7^(1/2)-41/2394*(147+42*7^(1/2))^(1/2)-1/1197*7^(1/2)*(147+ 42*7^(1/2))^(1/2), a[18,8] = -8764319351457415464074152260445357730128 32082617130928819132832176709288889593085850374720179108614282875/1078 1846282759425652760538686677053172757579716342607052012514479524090965 509698427371019703919858649908*7^(1/2)+9900974736444068369033798027198 0266804805049384761137663671025615705007958733404299066784449920436270 9125/75472923979315979569323770806739372209303058014398249364087601356 668636758567888991597137927439010549356*(147+42*7^(1/2))^(1/2)+6441459 2839321226625750082301922734574253435166754163020878438736803776543793 787914144146027897759293875/323455388482782769582816160600311595182727 39149027821156037543438572272896529095282113059111759575949724*(147+42 *7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-2760439631387824508185836617049 7049578160222885393221598065973351952057034861942288066862514640190649 63125/2264187719379479387079713124202181166279091740431947480922628040 70005910275703666974791413782317031648068*(147-42*7^(1/2))^(1/2)*7^(1/ 2)-2288693817015524977562634243938125127847450320768608667437016943030 325595522195586125055925240122707008625/107818462827594256527605386866 7705317275757971634260705201251447952409096550969842737101970391985864 9908+17249096557317929067939149322902743250435633267862713744323296197 3787960343477279261509883878308291523875/22641877193794793870797131242 0218116627909174043194748092262804070005910275703666974791413782317031 648068*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+385758541 5236055279657264348670579574630598193682226359036328648895591531814286 61490500720743800033453375/7547292397931597956932377080673937220930305 8014398249364087601356668636758567888991597137927439010549356*7^(1/2)* (147+42*7^(1/2))^(1/2)-10381315629299485559789722574117529763878522222 08288569755855467228098781565361363808920121770986095224625/3234553884 8278276958281616060031159518272739149027821156037543438572272896529095 282113059111759575949724*(147-42*7^(1/2))^(1/2)+1020900502788335251797 2275816107814940156045017135077881729172726480317521885083277053940359 189666809375/139624909361734562203248975992467838587210657326636761323 5620625098369780033505946344547051657621695163086*(147+42*7^(1/2))^(1/ 2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)-3278501104249116210862503049246690182 35378817028087763613464368523796222100356320719871833430445725411125/2 7924981872346912440649795198493567717442131465327352264712412501967395 60067011892689094103315243390326172*7^(1/2)*(81872+30130*7^(1/2)+1848* 7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1238 4455199249124698480359113247465717627824628151486044451401298501303593 0451066632518108778226813173375/39892831246209874915213993140705096739 2030449504676460924463035742391365723858841812727729045034770046596*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)+89899746249221595463506869461151409912332327135660 83183444064332943290688056213051013294130202622375125/4654163645391152 0734416325330822612862403552442212253774520687503278992667783531544818 2350552540565054362*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7 ^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-50650 7182258081045538553666318905558463121834734677623714293132898705620110 992944068637426654661486748375/125662418425561105982924078393221054728 48959159397308519120585625885328020301553517100923464918595256467774*( 81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+44207631653996784224896204 5874092748309654146566174028073308324942178515106321676544854014950099 896972875/175927385795785548376093709750509476619885428231562319267688 198762394592284221749239412928508860333590548836*(147+42*7^(1/2))^(1/2 )*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+16632171807322970353187 1109776970287115793737334314162133591524248415846129083691768131049898 143601402875/175927385795785548376093709750509476619885428231562319267 688198762394592284221749239412928508860333590548836*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-191113706074 4190645351405208293153889155283091745675698271733393938422804542768915 01662253277984198657125/1256624184255611059829240783932210547284895915 9397308519120585625885328020301553517100923464918595256467774*7^(1/2)* (81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42* 7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[18,9] = 18831563760381 9638150391103972700383/2806027733743544127904130026504272*7^(1/2)-7645 6943114158903845847909693650133/7015069334358860319760325066260680*(14 7+42*7^(1/2))^(1/2)-490273324301276422627128135722784019/2946329120430 72133429933652782948560*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+ 2986886169169898547643753775455722451/29463291204307213342993365278294 8560*(147-42*7^(1/2))^(1/2)*7^(1/2)+3095880549469376005399212917538365 71/1753767333589715079940081266565170-93123392885217687667604154232961 57/14731645602153606671496682639147428*(147+42*7^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2)*7^(1/2)-205175807296026379539671651497061293/4910548534 0512022238322275463824760*7^(1/2)*(147+42*7^(1/2))^(1/2)+1126000531352 093678483969696927760379/42090416006153161918561950397564080*(147-42*7 ^(1/2))^(1/2)-6409665123082146215715728894484241/117853164817228853371 9734611131794240*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 14715690305986846821871468007695513/1683616640246126476742478015902563 20*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+38876340238064402546057790486410833/1 68361664024612647674247801590256320*(81872+30130*7^(1/2)+1848*7^(1/2)* (147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-168373023200 18628200187223424362681/1178531648172288533719734611131794240*(147+42* 7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)+106203200290573611973889280123603 359/3535594944516865601159203833395382720*(81872+30130*7^(1/2)+1848*7^ (1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)-2208536653725465208818968593451983/117853164817228853 3719734611131794240*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7 ^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)-5817977571497442458703687801410809/82497215372060197 36038142277922559680*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/ 2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)+40058982814503612334272189908895443/3535594 944516865601159203833395382720*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/ 2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7 ^(1/2))^(1/2), a[18,10] = 1/10, a[18,11] = -90745/5776-30065/5776*7^(1 /2)-101609/121296*(147-42*7^(1/2))^(1/2)*7^(1/2)-40867/17328*(147-42*7 ^(1/2))^(1/2)+18311/121296*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)+6007/121296*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+1 1541/40432*7^(1/2)*(147+42*7^(1/2))^(1/2)+6231/5776*(147+42*7^(1/2))^( 1/2), a[18,12] = 127/722-103/1444*7^(1/2)-55/4332*(147+42*7^(1/2))^(1/ 2)+41/30324*7^(1/2)*(147+42*7^(1/2))^(1/2), a[18,13] = -717523/5212840 -22017/2606420*7^(1/2)-1468/1954815*(147+42*7^(1/2))^(1/2)+68359/10946 9640*7^(1/2)*(147+42*7^(1/2))^(1/2), a[18,14] = -23/152+1/304*7^(1/2)- 41/6384*(147+42*7^(1/2))^(1/2)-1/3192*7^(1/2)*(147+42*7^(1/2))^(1/2), \+ a[18,15] = -46/171+1/171*7^(1/2)-41/3591*(147+42*7^(1/2))^(1/2)-2/3591 *7^(1/2)*(147+42*7^(1/2))^(1/2), a[6,4] = 1998635609/20016721863-55527 42803/420351159123*7^(1/2)+152449714/20016721863*(147+42*7^(1/2))^(1/2 )+226532729/420351159123*7^(1/2)*(147+42*7^(1/2))^(1/2)-9799137688/239 60016070011*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2)) ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+25731859412/3422859438573*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-19618251806/23960016070011*(147+42*7^(1/2))^(1/2)* (81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42* 7^(1/2))^(1/2))^(1/2)+27897804688/167720112490077*(147+42*7^(1/2))^(1/ 2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2), a[14,13] = 174832/1954815+29721/6516 05*7^(1/2)-8356/1172889*(147+42*7^(1/2))^(1/2)-115946/41051115*7^(1/2) *(147+42*7^(1/2))^(1/2), a[12,8] = -1424425628738093812448308042489969 5696445275262891029293564950924634842096680091016789065807978017814812 5/70663354405509430788181683971811285622945670619325585301426007813150 18249643255855876696574455608966933402*7^(1/2)*(81872+30130*7^(1/2)+18 48*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)+116095222417828655327831532980121174519443481276 73272948358353224897237573187456793921383707408715524125/1169277789390 6690146968839046631762651342361382127785764163156284580835493066612006 414831617962949200662*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^ (1/2)+4103863582439932386538206089961003675128347717717946394975403896 766683413445679933471494013901770345250/504738245753638791344154885512 9377544496119329951827521530429129510727321173754182769068981754006404 95243*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2) *(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-10009692575 4471534586090690597717925185545412844577993323848837076289087991390964 0096144704490502080625/18694009101986621901635366130108805720355997518 340101931594181961150841930273163639885440673162986685009*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2)+1991039933585498100539232213536527025 3670364676734021854839647271068325488848888552177617895924773484625/10 0947649150727758268830977102587550889922386599036550430608582590214546 4234750836553813796350801280990486*(147+42*7^(1/2))^(1/2)*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)+354428625415220019756939865830861540599752984549829199208259 33286903655732002678096601448201039627100625/1059950316082641461822725 2595771692843441850592898837795213901171972527374464883783815044861683 413450400103*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)* (147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2)+26510721996059369908517625104831418971714356375937213595237 731218631783042520774473575436451301400435125/211990063216528292364545 0519154338568688370118579767559042780234394505474892976756763008972336 6826900800206*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848 *7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2)-70423694640782170783205845412985726618336809157737 6722147682170287502769727651620777594046385504387491875/90943828063718 7011430909703626914872882183663054383337212689933245176093905180933832 2646813971182711626*7^(1/2)+403952901539394217468698621550901656234005 89881136544124827522624036487806490453275793704393140718310375/9094382 8063718701143090970362691487288218366305438333721268993324517609390518 09338322646813971182711626*7^(1/2)*(147+42*7^(1/2))^(1/2)+216236068740 6023582903093990172590595536723664123307771088883664552767036871158364 609094556980350511375/144355282640823335147763445020145217917806930643 552910668680941784948586334155703782899155777320360502*(147+42*7^(1/2) )^(1/2)-42812050792035685976368494391441490695314423569978209183186879 017059689128632869616967055507126690125875/336492163835759194229436590 3419585029664079553301218347686952753007151547449169455179379321169337 60330162*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1566367712092598915631488385794 8609024655658277564849024776697902253497207086587149056930800333851714 625/480703091193941706042052271917083575666297079043031192526707536143 87879249273849359705418873847680047166*(81872+30130*7^(1/2)+1848*7^(1/ 2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+149300636 9125486240306899216732437630057194736996519963678735458353710991630413 345728690556404917158448125/572946116801427817201473113284956369915775 707724261502443994657944460939160263988314326749280184510832438*(147+4 2*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-434108564061754634935459542527 1869284505828158251662100192824892420473272004631900845168479968764925 64375/2728314841911561034292729110880744618646550989163150011638069799 7355282817155428014967940441913548134878*(147-42*7^(1/2))^(1/2)*7^(1/2 )-29158408775168542461556494860223833917709179622570847689976537615693 2909100273162187704524582598979589125/12991975437674100163298710051813 0696126026237579197619601812847606453727700740133404609240199588324451 8-11450863881646149867361833078163942068070135099974931474099042075487 82357425198395055647759654423310222375/2728314841911561034292729110880 7446186465509891631500116380697997355282817155428014967940441913548134 878*(147-42*7^(1/2))^(1/2), a[12,1] = 11306485259801526932332465468109 7/2301716422883186776204562746525-60205671659700928370046964683616/261 014642354953380421597415455935*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)*7^(1/2)+1429089476656159257236395481939996/14500813464164076690 0887453031075*(147-42*7^(1/2))^(1/2)-224681834794872740272415174440257 31/36542049929693473259023638163830900*(147+42*7^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2)+718167250498730460038390808682397/193344179522187689201 183270708100*(147-42*7^(1/2))^(1/2)*7^(1/2)-71053934460746501110440441 3394501/248585373671384171830092776624700*(147+42*7^(1/2))^(1/2)-57531 8781936872721594709040437838/435024403924922300702662359093225*7^(1/2) *(147+42*7^(1/2))^(1/2)+3877109435524240876068434239374893/19334417952 2187689201183270708100*7^(1/2)-7489242375760355748638662729847/1480083 029445712655264230555075800*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)+107729668392273112711204852421059/306588627528040478590447757837130 0*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)+88531495559579359035788784177901/10219 62091760134928634825859457100*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+4 2*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-798064958430409354 8921627520409/3453527068706662862283204628510200*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)-2423959986565011678149323499583569/270 4111694797317021167749224123486600*(147+42*7^(1/2))^(1/2)*(81872+30130 *7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2)+810573202920215816414985359399399/150 228427488739834509319401340193700*7^(1/2)*(81872+30130*7^(1/2)+1848*7^ (1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)+230884447487826149133191476698217/1609590294522212512 5998507286449325*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-30148690 4191776681651429743100161/901370564932439007055916408041162200*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), \+ a[17,1] = 188900136871147827929961646329659863/46484967705801497363883 689043265650600*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-3 29094878844444334506282772339164161/4880921609109157223207787349542893 31300*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)-1183071405328663286017444547361210217/2512700957070351208858577786 122467600*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+47535627578832 2691341373300967038407/167513397138023413923905185741497840*(147-42*7^ (1/2))^(1/2)*7^(1/2)+980196627247037282097932881795352987/309899784705 34331575922459362177100400*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*( 147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1003971170836 840799872177201483501001/92969935411602994727767378086531301200*(81872 +30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-9778295112222313333525360440802 1933/18593987082320598945553475617306260240*(147+42*7^(1/2))^(1/2)*(81 872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)+186450409315253383527857199784708159/22135698907524 52255423032811584078600*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-908743755622625781011433 7338904091/4648496770580149736388368904326565060*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)+6316417128102770131826063931360437263/ 837566985690117069619525928707489200*(147-42*7^(1/2))^(1/2)+1517436989 21186620720759049348721379/7976828435143972091614532654357040*7^(1/2)- 76250144407059289869832287545033497/2393048530543191627484359796307112 0*(147+42*7^(1/2))^(1/2)-140903648617618726517252809805336021/11965242 6527159581374217989815355600*7^(1/2)*(147+42*7^(1/2))^(1/2)-4918639966 95380473055492357651617193/1952368643643662889283114939817157325200*(1 47+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)+676904139900050832422070415489792057/13294714058573286819357554423 928400-3099321472009930476540293517557097403/1758890669949245846201004 4502857273200*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2), a [8,5] = 20267540689583431422294841276473813232683111233939954582194939 8052833209933/12147561940174436281892121977516407190660000848617371681 61400034665360546875+3264910517745924867898389062260182882315005694191 023762148162587091487923/850329335812210539732448538426148503346200059 4032160177129800242657523828125*7^(1/2)*(147+42*7^(1/2))^(1/2)+3457192 90029221291622717610343598506432317238647055482991937470794178891749/6 8026346864976843178595883074091880267696004752257281417038401941260190 625000*(147+42*7^(1/2))^(1/2)-1937055440977886560287282703935543200304 0352718019219272975102129691861217/43191331342842440113394211475613892 2334577807950839882012942234547683750000*7^(1/2)+522993248184314791199 067431506943181041793721800176595033519684622206241608859/160079599442 6635073678718320499530126459422383830118346305747674481734805787500000 *7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)-337059026136151742005941930281232461740 2616009426200496710352795644395587817/57171285515236966917097082874983 21880212222799393279808234813123149052877812500*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 1706822168636298108593495868730262735179369160617007002112493731973117 06214619/1600795994426635073678718320499530126459422383830118346305747 674481734805787500000*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848 *7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-168 3406022544655438560812821089173687399718163782817529397722562415495581 0217/40019899860665876841967958012488253161485559595752958657643691862 0433701446875000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1 848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[14,11] = -13550689/2265636*(147-42*7^(1/2))^(1/2)-5090608/188803*7^ (1/2)+1188595/5286484*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-26 347687/7929726*(147-42*7^(1/2))^(1/2)*7^(1/2)-558817/755212*(147+42*7^ (1/2))^(1/2)+686759/2643242*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)*7^(1/2)-19540577/755212+6728711/2643242*7^(1/2)*(147+42*7^(1/2))^( 1/2), a[14,6] = 298123957258937907839077837182497713955295118950896404 98464820311/1200569359512844753700501653939472022835827252845558021559 35803320+6717877330357656681265908496386786341737204360801486338539195 113/588278986161293929313245810430341291189555353894323430564085436268 0*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+15593680723065 84405657258644001331725460674992222094963699791351/6002846797564223768 5025082696973601141791362642277901077967901660*(147-42*7^(1/2))^(1/2)+ 249426510179393517752947484452657349726633385519017769994780091/120056 935951284475370050165393947202283582725284555802155935803320*(147+42*7 ^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+274536144915589536567785684511742 9561785614243099060545995111649/21009963791474783189758778943940760399 6269769247972653772887655810*(147-42*7^(1/2))^(1/2)*7^(1/2)+2354279373 00023117117698644614660129947375129481547216545373175/9004270196346335 652753762404546040171268704396341685161695185249*(147+42*7^(1/2))^(1/2 )-7079004981092982260589391222939799960962011349927130016733063543/126 0597827488486991385526736636445623977618615487835922637325934860*7^(1/ 2)*(147+42*7^(1/2))^(1/2)-97464904523721848594305214647647417560056911 22162408364579739139/1200569359512844753700501653939472022835827252845 55802155935803320*7^(1/2)+32304049103634438150270273637019815475335197 24634079784583642271/3025434785972368779325264167927469497546284677170 806214329582243664*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^ (1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+405600 913741757118530766832428634509444279742879094014841535881/720341615707 70685222030099236368321370149635170733481293561481992*7^(1/2)*(81872+3 0130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2)) ^(1/2))^(1/2)-65569919310773402464778869575459345762267981800632334544 27941329/7203416157077068522203009923636832137014963517073348129356148 19920*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)-470247536447412704178416488947624003322739 9291378795713975611283/75635869649309219483131604198186737438657116929 27015535823955609160*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/ 2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)-85177916531629302180599361199890619120846230695538031705317253/168 0797103317982655180702315515260831970158153983781230183101246480*(147+ 42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+3520940 29603499899998695596750887207553763246594342948826552323/2521195654976 973982771053473272891247955237230975671845274651869720*7^(1/2)*(81872+ 30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+52538931469250970186351563492894 7727575291749654601988575490897/72034161570770685222030099236368321370 1496351707334812935614819920*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42 *7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1 /2)-1533039642214304918179368542653802170244811329393338008894366/2451 16244233872470547185754345975537995648064122634762735035598445*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1 /2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), \+ a[15,14] = 69/152-3/304*7^(1/2)+41/2128*(147+42*7^(1/2))^(1/2)+1/1064* 7^(1/2)*(147+42*7^(1/2))^(1/2), c[6] = -4/3591*7^(1/2)*(147+42*7^(1/2) )^(1/2)-82/3591*(147+42*7^(1/2))^(1/2)+2/171*7^(1/2)+193/171+41/6498*( 81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)-4/7581*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)* (147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-142/204687*( 147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2 ))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+32/204687*(147+42*7^(1/2)) ^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[18,4] = 0, c[4] = 125/114+1/11 4*7^(1/2)-41/2394*(147+42*7^(1/2))^(1/2)-1/1197*7^(1/2)*(147+42*7^(1/2 ))^(1/2), a[17,6] = -1541704528840825252755951936156053060773191027661 5485941/442500801601793808876343571705182513548100549763064377740+4016 3635233012176760870746306365571041777172486022931481/53100096192215257 06516122860462190162577206597156772532880*7^(1/2)-23731033131474255435 885886140389787485536846581598015363/696938762522825248980241125435662 4588382583658768263949405*(147+42*7^(1/2))^(1/2)+142042265617750633900 28819905061718357377132047948954382/6969387625228252489802411254356624 588382583658768263949405*7^(1/2)*(147+42*7^(1/2))^(1/2)+36843629073407 201073438458558939925515803584905185868311/159300288576645771195483685 81386570487731619791470317598640*(147-42*7^(1/2))^(1/2)*7^(1/2)+111933 39954984942196249589974388786762749803639977651621/3186005771532915423 909673716277314097546323958294063519728*(147-42*7^(1/2))^(1/2)+6060136 4090335026314583284282206857249095962781889799435/23417142420766928365 7361018146382586169654810934613668700008*(147+42*7^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)*7^(1/2)+971532243394161776895480705115270175422165259 22472078003/3345306060109561195105157402091179802423640156208766695714 40*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-721879411966596260664 47856530949443571405794222881958393/1338122424043824478042062960836471 920969456062483506678285760*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)-60202891544028632772889979743281919980107551326942160301/1338122424 043824478042062960836471920969456062483506678285760*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)+87265135392625422106210886215618421 415880099581915526583/637201154306583084781934743255462819509264791658 81270394560*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)+208071217212624886727299126557580804 70451724380631438969/8920816160292163186947086405576479473129707083223 3778552384*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^ (1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+23112211329093114458368208589 3689613164005617617823944549/13381224240438244780420629608364719209694 56062483506678285760*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2) )^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+6267 1526089493088449056713162169763605245064424722980917/13381224240438244 78042062960836471920969456062483506678285760*7^(1/2)*(81872+30130*7^(1 /2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)*(147-42*7^(1/2))^(1/2)-538410062134446833364921721322466252309491 75630113712579/5620114180984062807776664435513182068071715462430728048 800192*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+4 2*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)-108848478922667630295072741394223687867158931425250480131/2810057 0904920314038883322177565910340358577312153640244000960*(147+42*7^(1/2 ))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[11,7] = -67715051593692647367045045535241983744739/224124992031818539053740 92293278940483687006*7^(1/2)*(147+42*7^(1/2))^(1/2)+711379938972844323 62555834044224472535011/3922187360556824433440466151323814584645226050 *(147-42*7^(1/2))^(1/2)+3460597437314780625378724355287085457974621/11 766562081670473300321398453971443753935678150*(147+42*7^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)+5725472433539114005956166967261819192505101/7844 37472111364886688093230264762916929045210*(147-42*7^(1/2))^(1/2)*7^(1/ 2)+5141900080007093404563151289403719247544357/56031248007954634763435 2307331973512092175150*(147+42*7^(1/2))^(1/2)+225420205360005220119683 80241674507244725199/82365934571693313102249789177800106277549747050*( 147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)*7^(1/2)+35769315194613990 485152645813038448542037307/186770826693182115878117435777324504030725 050-92461387687468017136959349925495600536969183/130739578685227481114 6822050441271528215075350*7^(1/2)+322373222625290580759882451726501010 067941/5883281040835236650160699226985721876967839075*(147+42*7^(1/2)) ^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)-19399988990279185932299811076019529741170 87/82365934571693313102249789177800106277549747050*(147+42*7^(1/2))^(1 /2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)+219308208540361878569419114793169499 4458373/3922187360556824433440466151323814584645226050*7^(1/2)*(81872+ 30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)-419785535353100013580641068503214695619693/280156240039 773173817176153665986756046087575*(81872+30130*7^(1/2)+1848*7^(1/2)*(1 47+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-18895552957985 5380166340420303935035731026/58832810408352366501606992269857218769678 39075*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-95732853702 5617438960555809657491671236217/24709780371507993930674936753340031883 2649241150*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(1 47+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+70148289915658528729785400813082421150941/3529968624501141990 0964195361914331261807034450*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+301 30*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+10212120530280027188590700292161360 75025541/11766562081670473300321398453971443753935678150*(81872+30130* 7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)*(147-42*7^(1/2))^(1/2), a[7,5] = 175585925/252555664-32843525 /47733020496*7^(1/2)*(147+42*7^(1/2))^(1/2)-52282675/3409501464*(147+4 2*7^(1/2))^(1/2)-20499575/2273000976*7^(1/2)+7317529975/50813846018870 4*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)-535206235775/254069230094352*(81872+30 130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2)+7820003047075/32012722991888352*(147+42*7^(1/2))^(1/2)*(8 1872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-636957235375/16006361495944176*(147+42*7^(1/2))^(1 /2)*7^(1/2)*(81872+30130*7^(1/2)+1848*7^(1/2)*(147+42*7^(1/2))^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)\}:" }{TEXT -1 0 "" }}}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 50 "e20: coefficients of com bined scheme to 825 digits" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "evalf[840](e19):\ne20 := evalf[825] (%):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118329 "e20 := \{`b*`[3] = .33333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 33333333333333333333333333e-1, a[6,1] = .87900734020668133731977709413 2125475918886824944548534041377978958943290234693000050439235347765769 6580337450132608580575780568382447811799221344312035003818307131244169 5566648822399879935647375792011634762260733209130103608192346531261549 4380523238196308464417523649833772776494187244575622140738566650760057 5002559454235280169942083402389458425890695350118930882693754145763207 2795690565765361025055324862392198606230337800968443877960276617250581 1600103711346546622112139278182924522682864909468552095739540674950222 5719190476030434456845150494436382457409689076633530795800357784753085 3155626911283012135442826108309287201750249741329594866993640074551690 5117626929678705798495628443363020544499896806302935999520819010706034 6749683388818249232574182345488675480057087232180459929076110718631670 02153765945424077400878662e-1, c[6] = .9810741902197952682548795483105 6208048905674611872488202780530921630630764198994236416443973471889497 2590912773190572941656973899304791802170340805092544873448297646384471 4296853762597890703824866014280348255572681686224581217488791465867306 3503723962225017013577636816321149473743476738151937847232354586012450 0677141904536336605141520480451586510218412270398639832586717295191482 6777169086955598209755365629691296742447511094988336543729018948615858 7496351861375691762412445641489098387146843776390415775502943288665758 9002596292842884023687195785827120170295837116711939670856858053723592 0146487049513052506904678819785464303336941511901584104168112638235979 2307830301113036682331079165974800995182208339986239984590574805476736 1816806747108773269259788365200601095029077056073886390668544241278012 293284205946115587872848, a[9,7] = .3217637056017783901008987990498789 0408140436860307712925111029490206100172743779907720672442985825116964 7361251268388585612586884874143243876730325820899743175279417096957733 0314212494894189092070613485238832941002131443235206251999740414981094 5315943911306418140434749826219966418737018489646990127531663218751322 4834195670867230068343002517834557854058933598103062683488044577633686 3851368478162322085378259840070816770232484992544018258144413067176905 3922221308319506872283265884814321429099924289359548153295230311679123 0303991480368057456998253071284612225610241971992445867899141464017603 6114478212726438460419491248357304474368440786331745584820306509933072 7159620364696617384511129896202797290993057887303011526783400470392242 5251699661844966969515654821016846133381105497467566326742549921951907 877217408921856390242, a[14,2] = 0., a[17,10] = .100000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000, a[15,12] = 0., a[15,11] = 0., a[13 ,2] = 0., a[16,12] = 0., c[16] = .100000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000, c[13] = .8333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 333333333333333, a[4,3] = .6067775709033545109740458476164652414644326 3091363514244368727045574670994850821566011375111395709297930052862955 4184512646730987395567186697072051803126423920712050696520130583795482 9515707491057354469311027328595147097751646115359710425490901112527582 9877026084191477078084622365143731898503470155811978960771364656283578 2734426732545173996220596245358895087054993175674424565967236094262608 6699648574964167647103520908079604408553646328698678176668362257155745 2016689935796714598758206763970954387490118225453300227545305258379595 5321654127839583301597120851403323899594947150020884191336961602581907 1469377598971232386123248423192068077566034073001313826293463553831170 1902561196278592558789437258857770933115058726376392945083681445250050 0822167030457837182534492715664952545656742229035368881702892122784043 252506379832, a[16,15] = .15717866579977116336705899827312892186718375 4126709419409653664348197211683094864663741005621996816860827319987881 7769365564486618262126763588939846644025185971881953153363133039773748 9816731314709589465071791635452002211036199165733192046469658211896193 4577356800158887793461106129197224775586868024655774809912890471798683 3804716406492357932149625123056510568000075676010376920323541091767976 7707243620567769992845149656307640399040705371892936380534867447960500 1178122355464237707923121117309023805104662001732332934125208899551756 3702020828029761171057208713709445968196288746079984277302522254627452 7646067680706988826666345934493455588199824073959238704676490773231224 8797081228021808296281542992377588690433740061727659460841618809412828 5081237296630328459964757346225344098171459720507171940252961509528682 03885328431, a[5,1] = .18402471470864357514910069347112066421677404797 9591417844634966138913446729975050290342374096819560825603615796173095 0273150214217109126374477872053872108412353991644733263659730465888251 7690027609304088701063399213568784112437221293408735051185277299149153 2686125004949252302466923060050183108811038020622587949244150590694127 5770927057208618523663251082397697690881427497123939414644283847656532 0351895305590759896111936314674520596330348372653912970545005468756423 6126162171790816996335956812906233576999480101703220729538109582744394 6264017244687217464258186846423902834440669660172885832119497322056098 4234223183806755354072306807577079365579431636944713736159864998341180 5588689664557513642013307291022905243188803216865791979765893524712978 5952601529677400731534167297099418477748591586320872605200717972249219 71825849, `b*`[2] = 0., a[16,2] = 0., a[7,6] = -.731856375070850736789 0575805589888163403556150251881958547753987577423101247603364720890295 3094096199401953288569622381010830766569853718419883375591870336786272 3788766545316682571760768476741899765104231560665326414172547525829643 4824443056179040563784102697181530681529720976235085629800969057374750 5585107807990999841282406748817290350541144454896587548725966782289887 9250743418166209608120857270517739338885854143244913995961901707602836 5478761537105948448196464779951521396183691882184316666912737403982717 7838366584515016395993968761043236455399652447511935204463247950356370 6426227681665611468820687837449758030352997715011628007999435695664216 2895085696401685957061885280754056282205796905199839849176345771507502 7079472821941956535382929344394552928328866920029878326911919008274232 6412310208977201829260962700467060e-1, a[15,5] = -.7773336436449682335 3893122857530213780335105362954728633446909431637993507723767650982937 3329064360531049207055668723231029903518906649219954391922295310364118 9319239552198041243067755726438763413968296033459007107279353372530826 9604343617636483312086255184460873712784382873066452284402152244794766 2820315588429530155746325898359901182239005669105631961657369417510236 4883631510491458586060869950527137553748529344718637880593387169530506 9519827349974566142663821974965096304928101862689854043568418764822661 8200496586820421124306067017518808240625047604318722895014150607579274 9686737129945575961271392795933601543151420815127365211897883650948890 4980292605598046692532447146158205582111161815844111713343600327411910 4354105823744778321249248766749454313244226198260926502571181514886656 446946677445661815823935121240430252, a[16,1] = .100000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000, a[17,5] = .25911121454832274451297 7076191767379267783684543182428778156364772126645025745892169943124443 0214535103497356852229077436766345063022164066514639740984367880396439 7465173993470810225852421462544713227653444863357024264511241769423201 4478725454944373620850614869579042614609576888174281340507482649220940 1051961431767185821086327866337274130018897018773205524564725034121627 8771701638195286869566501757125179161764482395459601977957231768356506 6091166581887142212739916550321016427006208966180145228062549408872733 4988622734737081020223391729360802083492014395742983380502025264249895 5790433151919870904642653112005143838069383757884039659612169829634993 4308685326822308441490487194018607037206052813705711145334424706368118 0352745815927737497495889164847710814087327536421675237271716288854823 15559148553938607978373746810084, a[5,3] = .19796683122719236906814177 0510388793370637287463360401555745875687794190853475178049027960516944 9873910332893314148685271119143507026266650535290335233911137458431249 3739511026439336920371320132526896937864508099953176501349848843253047 5110263780295251322178275466334808478513360534696543282314326944041413 9168495328712935204539356650521703600553540005415215507265557524804738 4278184819560026442344567223066155854327107088423000204948986001857053 2862864263457403318004164365003591977725702516816669850974070040929011 2206429305105002703083518930308535340255124029604030184790509149950168 2541430622007829972786352125757001497368139105847421662621372381603893 3573380434280375049069086989827517131114065493447527435125636306806074 8293963914888957488388841498940187957595401242752388413211398743573199 94929332933656767149309130497, a[3,1] = -.9151765613752914405200150192 7534215431895138766436972056466039799630485844895606176116179686013525 7644988638954635470422929876366491473058999110810909728391896716723950 6811594722111441751953565887808643411677982691278274462603359747588035 2942281932505944855924513639065885263225558357981911548897163138479682 8621183187327374693597434743733573965766920934305329839996486702400948 9562789910442536799578043596585921998643282644492537781646755617157470 2079335846192991928752076312077242913760865951226168366592654795726550 8969580742341998072097081636755203240582692980467225292072103771062917 8748953425287877916116476247076546985770891319627142563153833932996736 0043397025804383158519399143461070305539590717039830963244352677313696 7375442583540599007171418888169170752152934021727631519673143625292113 293886001204206396277005564, b[16] = -.2500000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000e-1, a[3,2] = 1.454534402178273228052500217156 6445911762248373653787360701601939569686006254078090145962422947637847 3770021995868363443417141502195419944717428596806806299093734965790314 3497768918240132147133571656817168814671922029791690851101784510841350 8362515497334919105881069815662133844543848574359910753730163801653688 1109124318140379086564145055490393963025014221207388887930952411167426 0488852611016942148788800917938609066186760414090094044349223820473835 7588924313294927692090813137910847661132281429673502447552186532675315 9451637238284724690075082749591577135678311675513604313623712295997684 1083433712705255556323088817200131754726749035432262185078771194235937 6307305985922929412935139109890034059493192394732706551877612299631458 9705543020771084909766818402444411614645905724100543677734721228667480 756788812335595406045430, a[15,1] = -.91517656137529144052001501927534 2154318951387664369720564660397996304858448956061761161796860135257644 9886389546354704229298763664914730589991108109097283918967167239506811 5947221114417519535658878086434116779826912782744626033597475880352942 2819325059448559245136390658852632255583579819115488971631384796828621 1831873273746935974347437335739657669209343053298399964867024009489562 7899104425367995780435965859219986432826444925377816467556171574702079 3358461929919287520763120772429137608659512261683665926547957265508969 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760974239565743264336, c[9] = .882527661964732346425501486979669075182 8678442680521196637911779185276585194132570617486353648669365477736303 6433697276892551165266304293389035304144785986378084991571041040993423 6639034233673744551199966696148294755453620281648827736327414101457083 4428387729693458807975692866543358690333435626242029623351521808735626 0952067946275619717885129779256363990117570944976146755845033431220228 1067956657048554186605777011662949001122036935233402444727145640726893 5866004482524133174339468210672570946541995530061423556297469476382912 3135772207883321065816525177739436444723833796800167928492615124667839 1244715855451624677889994431198489438642325291990883034842741396741666 2252947756975144210521685795176539363614664253127274729012257284078173 7893967194073323624105258479046558485982199761200844686434147914659051 9502955577235571, b[5] = .50000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 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9000505837255339532478456377155308656068180538009941046396017032663236 61815160591159768901969655113027022680818361297255354260558, b[12] = . 1892374781489234901583064041060123262381623469486258303271944256799821 8627949527287066011855875760648974892369435837561507094116852287975359 2876824068664871288047487837861268461671840085581878988317032429937936 1996047343149943010147333070245733949009043160807933866213932104366820 9930697466825994209467577214333782338324914333846270757306504801621036 4083472778528538266655707155422467275037465270103031423115152058770223 4062611570008669786394615490860583153807303422731347410909105870841965 6781825085836099433516631586897221112008271767922957138243805845702075 2795154458455477550328350834866037529148179535073851701336519752765152 8052458110773617434712980382142641709038488196684259264235046192097666 1608294113271341882102895113580105984861286567256202706496340034300485 1506075506897764697011553639643985848305369411312406109, b[9] = .18923 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3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 333333333333333333333333333333333333333333333, a[14,4] = -.72954784731 3632629185146671595558023015011608914382961421311478857120243187726074 5921866646182175757756953362151571753756462778921944972023855350317310 0056420292888482027968792379314093462436127048081024185404512314506487 7367119308365057286554847312317486839471354533966896875292558401681520 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8055895528990456525896292674296581405968607143771855651266310889777981 0780960876275506493261159587779994012644905749215084897662582432913936 8938296736558350507480375648568219516745943174904981448532506320486735 27, a[12,10] = -.78294271035167077755398672972569244725207704723916055 1335015914201645820796978877941853450919885493161602109147222787659177 3709782885515402300814897987845299854052043916038703111934525375324401 0689539888828478523234940260338732064711210426959134329710097892012926 5968393248635581312193206435549501871067106002479342554246920499612793 0407806305567601503751072653181289726515340060214832757421964421347923 8039814786314674169157398732953769704047200829997040855386310758284511 1657047587670088291965319181991812350760253667957224798697245456226595 3405609708705541666220912349770440561665244812974797689939966641950273 4930351819627253130518025990102789158215413140408117962826883978779351 3624580144386859151665123769466405051203792890448359371380617199253268 7461115866208704281588232219205303704566131960598978245885813317276659 46e-1, a[12,8] = .1947819157121041649763062621473828711561429213544093 6473809022288663902470339460643896662284354741175314511248000829550105 0817686579567082271484387484985181592413576278776652768020820021745889 0765068546832523075892589603987054435791029860221369873709241972673080 7566035896951666113383401261805607544265851879660341069413433568709970 2601951831034235397011800648792245213733584106122578856551949307451997 5021080558436763944150405191467361191230920022766982004536135752679185 3119131762783655039172261866902975667958941436340248834324218017780430 9377903976641291040779567980262246178407409447505979194157556059203592 3702295351785364399081931990741937613927079909889272006226559992821314 4319813667731424828128809380963132655391005047592459828342623165442379 7835835887050580180659188346681404962943506188198861288852470513713411 489, a[14,8] = 3.63937263181035606029412920047090044132027387893977804 1762287245257885919339182367288372849122975000020766349006743052005017 9600104387461400847165931823451034426217081000045513969361367912313171 3656185026145517464943151609759429761083878165767969838476003320727053 8347259380663415025433417633384650049668165511546082496680216043184021 3649301845702007972368016034976859747740509912505030167293564593711297 2572348791774779595468687251711174101803426256691702591018687122538860 2912084384147672577309850942168328386198021870862665166707539816031114 7711593577183446832582761678001119619980552890380041761617575616728469 0368874394869686906087028547434229605801800148068883531726321057156382 1844189726318728980004288249790338835571199693023887019651201484783953 2061358016672604363168967936668451496967619468812612437037071140863795 9, a[13,9] = 3.2880776198510356689046061593731480547726825290334235658 1924949015065956626779970849214227283070281356364989908888270647367424 4042162876646804563085065728726277567074781735394003584006524394836090 8950184014764516073837398682227982247796318351924602379273882240260110 8790501766082144905516174713613826866669964043523931400696065311477173 1482846975470029023263955704381780729635589612967423970562064723342971 7227481887914641632096711354941482511481309328432316886514924485182838 8868192675424972823758224001085418082147745898887639072943437802227747 0610734670278404947868866104755511789708855641266200510603732561314698 0023692987548553109493805498885021253233294298888773471120390457150151 6240207397247073826093029619351204733180686627747144483136390297653246 461522256791834253796802910992294039121959054541772158199687682192189, a[13,7] = -.861164195027635666673916999665534573351026060987427093314 4115020405879169494864941030354381142233718025354211228964493663786646 2846110277542449767406748883664977234337270785344816633550839266857183 7126165036039780742626991162261846069709774672504426180595784984889595 1987673613947712028107184505376925952178003752028714234719254874454062 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1105643007962757068996413456596145087545809038545103933892766626828709 1912583718551603390063579397500165735107630890146735533727209907374518 7943566167822076023652087565683884596150974841439210176868122331712687 5393225706568513993102077181863554242346246581850478416740710974972745 215939439157981455708731127833027701624579944757746470457699574696, a[ 11,10] = -.32776912416401887414706108735023339537826299239239407190645 6652301199422775576138966872232069815311698697716839962345698237935425 4915106827321289100861514701658288140013676217898782525980425200998447 2196533142182067202127026429961773562675654950315686116656587079065555 0623699824494741143314023512853787302817457798693698391695137430219541 8343739993917445971103125463392339749720873374991122134185414188256116 3463653659219146006933626748279004808443471857507236443322622026537486 3796307645979999744136551993900989743313799508211000835066143182403867 0082266144500935528250668166618752508897052312504565526942222959622578 1968958699845828251074258792769128321857238684585662633701731542276823 9068873238090319094595532695581848952650595263664480498534709629569305 133139204000912443942792699436797873367907067608590076196998397501, a[ 12,6] = -.520329686800603076514949887612959068721311443881683526937297 8568212814716048923869521502000487508374648618997092342479053079078499 2909282630391465960722644414184539127562873814379774197720451420668890 7857921740117455946402833187898852315658111135128505549930011216323119 7171108716366381617552296757343393234046979739172420131287093533518629 7238661699629495196875414806333326666422832871762558010689757820807929 7398580575023504331129278298907143973035199555407532101843535285352600 2416074169237419739679666219659500760239618211158712530947636676966140 2192975442751105805936931484674147413998733339629289148285162186546982 0254563924823355424200845654396893607363014742583205222037536954691524 4676461355694074316316391848216207668968507418282916056607401832091482 22182837246592112691985957615918328815550397765738714569906860648e-1, \+ a[14,9] = 1.5482287703983032236530166307517456491998173634897349631306 5068203641497941295108130970925014082060927262667026350328038985455127 6901914194608131020296992669216185574897062702875781351126009518894216 3984621263448476926259561599941570821889270003526371758216777735998540 0493838140698145686129273493122574164622522095649272720072496092014547 0455088482310916782852802169623809805986883728933971820538270169757566 3050628512501705146838220887200216459992062954033863939056900805443779 5232182822020363207485805736443535104024631828797737190094477727604418 9295372959001758172826106560578207866072209107873077110774956159948155 0573914195207750893339020543026010969335106603377040450916417076561291 4864256145941625721566146365536122178184351569916738305274868462947394 319578659571872881177648810065478924674492511424511813482300885088, a[ 12,9] = .1453849231883250697275248259770711948592034675682365238665823 9809089133377900674588489120015692900621711129585535230919801714766408 5293589722290132196451957442225364972509155261184709004908371110251046 2422811857008406661517260102468352598283505061322411667349130667715984 0464076886804486545143541495139188370803151218508229847741431938756890 1997598401725101725705187035661612924354265653483259253939389015492247 2619450829054729764512469014281830847049015988782683503900927428340765 8779804580982033581369048957849427249700766608346435967587220599059782 2215146208075698256798010599533515727072052045689315379510059027375813 2201891815958066598883293790136348111740062358029760026321411558776356 3330242194542936797910438933497391090276398801078133141064130155207596 7400883035209155801123158061998590452577568435573916994308742468, a[11 ,9] = .107558956873607455550609147441477450257136782823280838547023973 4312131460138378663156622481488198636826748835197235426067810158943666 9666076764610929055874777296788671011180339900770183832871348127131178 4745870283758580310568496775894680979885478980922226135077219116159618 3233882640174290129759821243006205073705718841417498943970312907089185 8338657711290621924667339920015427271871869973008189803795308295181051 3585102958992464497347047233558297977790857457784489929743083243356512 4102642487666741601937334920379152975790529525365890043621048384830539 4714337664198057650803464376453200682092815061412309156190152442777193 4221668291997312154127079670195176390014565472621399759134950193233491 7163194846277301717184922424625276550608560493244536483825813003508404 24694101296027001010910822738376859462811667475548159541058665e-1, a[1 2,1] = .79831452828019604635142686448640032275873763042341394535628371 5140838850738044734459298055077892460103134308134297889880013634497303 0024441210785918730663771513529520623572711235131633426482793518707838 0443478848405809439888041373561057815620517195489674682246464827207439 5066252456318012614002037158152326420566571343947784203695577335256712 4718963573730129035700255935130419328031547486466258802683963093536317 2443054552851656199977736764676959732027809163156397057997879642512590 0050284038412618461885781097323973236061237253188200881816245462848710 7690390552684192537562376562679443539068542167920239069969431127408567 5080614512495776462896197435573397960466614360743331073196388184568067 7646439490112462425067755687956598878996604267689333020007973496669839 775350631093019260870753369291670151004324289342075739535193922e-1, a[ 17,9] = 1.779509594317081024461421067948244539262757432433277905359997 5003869203011615403071186772726506727968753039203674233514819861504991 5771703309660333969432740040768384590196882206968690490346910991474511 2028969453387336564061360763445651671750312658828258498879374237422562 7380239894158883867324559140964958609332595210759051767370799819733938 7239493790467026247124887991799780097769461169391641348584520820791663 0696717082685309930489955704028216276677590181040720003498616804076479 7451307249348230169474416009415987411253529716178900702208822370167387 7189199051157769264556361807465747766330489295873495894068323015464089 1935516038594588778330835791436875754808624009581480085174211357036920 3525785729636357309688649650006334837872821674151845429405382061052812 5774077651478447245111901945810773401188324541855571339555372810, a[17 ,7] = -1.0459489594088330609505006875640990513158812317237848928607995 7116229569253547476122646292760107253620930582128425820520551012971948 6969408718935590796322131247539013828412575541307419607695071165192115 6067922284859734280897195849302349159598318238265883849810987662145097 7357946970117298928096108608588924596139205328067992517367438328767903 8422881156805497268312011787917268522309533059213970690096380246399276 0325600823192449884797653755235003031278959993240288660180751639019090 0676453197368926302110269339449068642716239804436144955391836808855233 7052788980000013835893037278344487235067627935610855252619438885367367 0545867647772309149885313560350372236028435128921399150470887785459876 8836920884032508050932187785284518261835805786328075507879107818346832 645208901998824340086746584656383616298359439685138736719058943, a[13, 8] = 5.784288136375372200229997854865784360068727896894991726018561768 7613667397279286371961837369196365836982906970067338405792503912055698 7675564439317284372657476369963036187902595025150783420888951361902101 7010966123222227072227810472695418185522752823842226989971274164617414 7743853046280793761613285234088230165808797506797492294994888084227823 2644658947995735962240030306103260226368311696915568544985541148901640 0665754198163643691480728890468824022551726213766857814576611588524818 5036484161264473634970884541788412192032054845197961576732242715932683 7582611699845124632653600500620571823113597668613164024023039864601626 1591016850329186437399400493381186755003707734280569062643691957512255 5164929320183498527590787851386074418732099111147916972793328664569003 4009550899549670306235274704436257389921740015529862360380692, a[11,6] = -.76881336420335693858621428912089527082134902339092298740638353732 6384125891572709332351918385346783475527557250584187109680343875657617 0583570969995035344551920890391964747408369410479373429850509268858286 3828073587281129819204076049765944244064315996082234927473491934690881 9990527386081054495438369858943962129587068924475279069887570705231044 3245489961491135966246191673012983971849571870299185407230303027338873 6948765365222275781471086232290494447729921035806663363056885617464983 4861609562987299958148095521647343100380592476591269942569877824573123 3090108182739698629112951315393867781098626972623640624751637060455692 7728672797001042804382246635708087260006438889794467331132587668575246 3241398868045521249196048902146123571359112560396056695539392029877506 972076046186702929366214350522481257039385481367487879568526e-1, a[12, 7] = -.576954146168548881732784355283433509066159287152968723021863979 3413055668210844841955351644544794842372923804361109672299403024807888 9450751325753201754978845763326571476828895896748404343106194774836920 7961982296088560094921729049482278841576109132867998003845728889399546 3603268534640559059328816676496491441983804289688153986422793969217617 6888973435908465510436725580242074018188474799353946531681856081876562 1176907964340039791088359726097991602882936415073490651006421054555730 8003455547851438443904780787889620559609969924399468518331481646687763 4436001229278167108176316275885072662253883849456374363365373556684192 8008977498490415062813887044253723450898549092663569541648689011033300 0160960854461799894604629232436840482150186944585258327299243690452110 32260134560849286528825670416700184854305117924834348650317964e-1, a[1 1,1] = .11397678396418598613800418673690116389072475254148683164034122 1030929066427133625776517426989590498758838599238942081460281878476754 9307338308579454297655395037399509465115911299725696606573159727428979 0098666840395121014094394032635180964209388624220839840375764387535958 2495860150958557519909941495044418216732011124649816856467810253445565 7827723160827704575066673663169738348142690851038373175904948930596962 3142087319527408674641761881800751864292130231912621154953005113013515 8719037055424547173606878867950675185637633674261832282594666890040849 7058737144587060393719017810580094880309233545616827001102461385431627 0063241674261921133198194645469268620204957651061979822774517211329987 4252897229541976998325245748716503134455149915751865153885415081580613 561814922318850235728605166022019326441836149635172297721573695, a[14, 1] = .8950802957716328910496131323365851381481562792415613459917095170 7576728398455256407292468102315862004674345740655582168026998367471876 4775986398092103154366919216096999587598936195782307598958647659928923 8984830306361501167539194874238619431333628300406469244484353465185010 1737974739850651972132205606536725220156302135073395370268046253270724 1744348673793854371469671029831032354350155707365905037494965697269880 5592338178592319739754286226346537305776755655149948223809259729596088 8066496151931234063107969498379238196034591401548378239448278079313426 3483891945409358262266522427903690293078729693019637342686140828823362 1960369198000200724037792855915076916984984246969024942202770660162883 7075863915751333763924524314808240991873832144711131530508935702035367 6306190767898999718466235650693190740057803208443877254275823, a[12,2] = 0., a[17,6] = -.358278966717952089048961276721979397739750634673268 8024842708024524021503320635232760832025204956550284221487084057125957 2082150387813056354840489065504259197020929064696325632654653100685469 9827859019581493600825848211336977780836352291311707683646635500121466 5293332892827794771841349105098571593225493058366528141835754987401853 4015178830572221681966867681520530674018497805055995131793863477816058 9845514275479375015888852274976808604600382462659032412158863604732992 0120872438127729628359347499938324518597076624807517829847186729972305 4169549514432134355815682041376422323982233364660812453325796650871335 4101724379516704906723150980833076962908537952364629939557167755844503 5320423233089580898673706807123532822881775669980087397439657639723844 3579021335798732646552124997327557346931419594687933678216855852707651 6674, a[11,2] = 0., a[10,2] = 0., a[14,6] = -.851236239662007619739049 3714459667932893597228757022271661048887740645775128087411720891069299 9959716215676907699548314454078403756710011779361287659125013928968689 5843469020910778098302179724864772626569614502858051214694986532898083 2135563926264678483363252287404290065104120978489006629483875342422017 2596334204753753182649292861946505242359016753631332058949940176511433 3364144574908343622612114929662544719586837999882783923375898998649403 3953802882405890234614856642728015761891430072612445717968407474728845 0739582779863793044586293183791924467182263474019240750777393992902460 0776257068253526638814063218810929849952469112039232135718865964278002 3016232327019878703833479477360874378267786637298124617147285988799092 6663846815597766355963040495998533355989034454180583174497979566145874 4612751858828119432053008759006, a[15,10] = 0., a[15,9] = 0., a[17,1] \+ = .1817813007000952838884720625822623796504438314631995216649446510802 9562147843003218199749983596596580113479007802354058273653534224104123 2421221366573366270787925991436554119744340298667177547579103686887404 7417533381827994259053029884914232374529317615787796408615101458201589 1264123670495856617677765981755042622374095960674561728575403559435258 3263548763167758306823308638448799194657439241843701721016684575810411 0056195805276588688920995287148951959390497676486515058265515963105948 8883485263035330508269715956079154986025013285296184041941279245046134 2718668399219801997708401416563116222113917430261996511904712561033154 7349592203335561545162514127714829563113816972593001785846933254767324 8014601054834915024890683228704368682987409377189665861832852054080229 9386247993518324091958782555785336882580157040101290877084, a[9,2] = 0 ., a[13,1] = .98511561016485728012004150030651727841364667731419555952 0528581131590834860542960066457187423701457986048378672745487898009971 6629819955718548585027504848515996314705026549938204537536998187803005 5179709265626871289525683534482605428728065425843975200652861799550234 1824896634817490428629868879971687910118098130626939011702693082469173 4116867503797385923180083029555619852661854507523778700158154568269093 6960860874695108993418932952389458338339205236644442687860118478617628 1771590087071037633084909263955797670723551720842955862368095641320507 6320663537722061806031309615956022741581738513005831276850510790182305 8988569071729282413731214139393219280390690486781150474991569472648747 9640668902484899597300232655626887356799694719618322355707182203321365 782128657362536987695208913416570403643105304391389929393634687745094, a[6,3] = 0., a[9,4] = 0., a[14,7] = .39832011231853330171971861417437 3643336480918103773904231856498541429461846292261380957391345287300679 3272995329502996584697271213125978238678109197167472115207038869981054 7161504528102469255311701408124151905542570743769532496755568209775362 7508769368309090971004496574553064625881377405931689983152297270625874 1074670445357489949777244977434590551187901994802860554666067129235560 3533894429974278328238444755731298945539272496309783067023116051524395 8186687232342676807722385282901462180905229066835455377085026004016265 1961983419486564437637373377312801070843295877894387802088697782129742 1827808276724541072251136362984006645080908706859582157320124052678609 9701967485858546934308710405904204815027767139001077825763817679265699 1192407689398165053379472803363617316793099080167890407297082248527082 86837946831970907812137, a[10,4] = 0., a[8,4] = 0., a[13,6] = -1.37896 4865748435675821127209307519023539043271485594715263967279333987427873 5242808725491597270733259913607283723126096269254133662575356100752592 2420847604833756522269624920519845643576011929357405585963869584681806 7321932899782562786428578657218079844042209139320378335397873458916266 0886138896663684998399450075551408315601280423250923842536899418972320 6965559057850231093823096575569023311923168348762470362139427422266686 8242373461575395717374370582914682082138560213597924304600503768221828 6532867153717555683438957516309066806263214298788137907600720885014014 2328374910209724556963094148049093708693459283546878471502455659227016 7453740660997652835754638675458002483255652702167291416399034878224479 1271963655871800471063699686391011710018300208792381781499177579381603 4233164251532700137925258761173266863433187140931, a[12,5] = 0., a[11, 7] = .2395273603243906491077114552718823730197413112010041193395628785 7812244431777935930458224029232369568917652725854467141753830185237316 5512659579320023389908139997978999459087132462306559341495068030207215 0138337701649911621497496085168462577111693817848188809143041387910109 0630911859778268486883066581860352264305862767358062142228273665361571 1280986345978506293354943232457759747175736120843043615789306009017213 2815074661280326720407135108020253872104381525426116195150340194872174 3322852813011082639455972495353121918369647451550080804056060761780563 1771432420310904093785186470078147439421731102287533210935917127685327 6815841915711491214484667732103483487675592593929768741060902925237921 6408000594673493009587600993343088875864177928689126828786681827696024 3074084430005783691548450300208610010872595000107909522544417, a[15,8] = 0., a[15,4] = 0., a[11,3] = 0., a[12,4] = 0., a[15,3] = 0., a[7,2] \+ = 0., a[12,3] = 0., a[8,2] = 0., a[7,3] = 0., a[13,3] = 0., a[9,3] = 0 ., a[8,3] = 0., a[6,2] = 0., a[10,3] = 0., a[4,2] = 0., a[11,4] = 0., \+ a[13,10] = -2.38633905093136384013422325215527866148401465975954104585 8065415400776902303795495458328721103961848807110918640508772874243453 2066843896057958688652664350372301658909051745408640531665768498297279 9255879483949578512418638903267478767341251290705280386159894859644712 7309139743644036521415875422831207829799600166840018579211133729367977 0923663686703461152256563257539165463011039650855223487082109663025158 5555286382147230805881691524059601573552160046907233424399778434084433 2066474257849840529590201702086315476206670426736538430131804196569818 3000373176144803506934691774538462330456923941795478486873634543605095 8770695159707794882041619738403512886303174432758590097976593492243725 8535787372261184208166198775516752702157833861434865398602022227806541 31813611168865055784205383284850372048373225240328408965647439325220, \+ a[11,5] = 0., a[10,5] = 0., `b*`[1] = .3333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 333333333333333333333333e-1, a[9,5] = 0., a[14,10] = -2.12221714704053 7160260624274604272610253184611462601244015607790107056265271775849168 9450404616969562908761664280729931821089935574126748626243918848643936 5080996226287711658403306874162009777583030043312973560704154112599403 3103369526551553506071355754237305796479963176737587619568706394588533 0346125081854205321723076378175543008739389944985866717466773036624634 5599720747963486089101500095565475426174089546338446101882715706030644 8746769626283341681961340800604941262592584863604152467294386043921030 8963826610710801831512399335672300377141887597337064917507123926015791 6810635336528832846877058502590605982215030261193588311457860820914708 6920014034714431630036907831959051391854990705949560982212106098437032 0772109990419236612782230404754039225708506352023636846269079034994629 0797699431251425294490906168650167990730, `b*`[5] = .50000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000e-1, `b*`[9] = .1892374781489234 9015830640410601232623816234694862583032719442567998218627949527287066 0118558757606489748923694358375615070941168522879753592876824068664871 2880474878378612684616718400855818789883170324299379361996047343149943 0101473330702457339490090431608079338662139321043668209930697466825994 2094675772143337823383249143338462707573065048016210364083472778528538 2666557071554224672750374652701030314231151520587702234062611570008669 7863946154908605831538073034227313474109091058708419656781825085836099 4335166315868972211120082717679229571382438058457020752795154458455477 5503283508348660375291481795350738517013365197527651528052458110773617 4347129803821426417090384881966842592642350461920976661608294113271341 8821028951135801059848612865672562027064963400343004851506075506897764 697011553639643985848305369411312406109, `b*`[7] = .400000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000e-1, `b*`[10] = .2774291885177431 7650836026256065434042850431971804083633947224098668448038717139379600 6548107909060176917742972308291051595725498143786913073789842598001795 3786191788288053982049948265810847876783496342367287304670619323516723 6565193335964209327176576235058587328004527345622998456735969199840672 4571990894523328843283417523328203959093601618650456302583193888138128 4000109595112441993916292013965636352435515146078964432604055096657996 8802720511758060835128593632439353192557575607958247009884841580830567 2331500350797694455546583948987437095284228608209645913871512208211189 1163383158318006291375184871315928149653301469139015138614208555893049 2319536862845240249576281784699824074024316204745690005058372553395324 7845637715530865606818053800994104639601703266323661815160591159768901 969655113027022680818361297255354260558, `b*`[11] = .27742918851774317 6508360262560654340428504319718040836339472240986684480387171393796006 5481079090601769177429723082910515957254981437869130737898425980017953 7861917882880539820499482658108478767834963423672873046706193235167236 5651933359642093271765762350585873280045273456229984567359691998406724 5719908945233288432834175233282039590936016186504563025831938881381284 0001095951124419939162920139656363524355151460789644326040550966579968 8027205117580608351285936324393531925575756079582470098848415808305672 3315003507976944555465839489874370952842286082096459138715122082111891 1633831583180062913751848713159281496533014691390151386142085558930492 3195368628452402495762817846998240740243162047456900050583725533953247 8456377155308656068180538009941046396017032663236618151605911597689019 69655113027022680818361297255354260558, `b*`[12] = .189237478148923490 1583064041060123262381623469486258303271944256799821862794952728706601 1855875760648974892369435837561507094116852287975359287682406866487128 8047487837861268461671840085581878988317032429937936199604734314994301 0147333070245733949009043160807933866213932104366820993069746682599420 9467577214333782338324914333846270757306504801621036408347277852853826 6655707155422467275037465270103031423115152058770223406261157000866978 6394615490860583153807303422731347410909105870841965678182508583609943 3516631586897221112008271767922957138243805845702075279515445845547755 0328350834866037529148179535073851701336519752765152805245811077361743 4712980382142641709038488196684259264235046192097666160829411327134188 2102895113580105984861286567256202706496340034300485150607550689776469 7011553639643985848305369411312406109, `b*`[13] = -.400000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000e-1, a[16,4] = 0., a[18,6] = -.35 8278966717952089048961276721979397739750634673268802484270802452402150 3320635232760832025204956550284221487084057125957208215038781305635484 0489065504259197020929064696325632654653100685469982785901958149360082 5848211336977780836352291311707683646635500121466529333289282779477184 1349105098571593225493058366528141835754987401853401517883057222168196 6867681520530674018497805055995131793863477816058984551427547937501588 8852274976808604600382462659032412158863604732992012087243812772962835 9347499938324518597076624807517829847186729972305416954951443213435581 5682041376422323982233364660812453325796650871335410172437951670490672 3150980833076962908537952364629939557167755844503532042323308958089867 3706807123532822881775669980087397439657639723844357902133579873264655 21249973275573469314195946879336782168558527076516674, a[18,5] = .2591 1121454832274451297707619176737926778368454318242877815636477212664502 5745892169943124443021453510349735685222907743676634506302216406651463 9740984367880396439746517399347081022585242146254471322765344486335702 4264511241769423201447872545494437362085061486957904261460957688817428 1340507482649220940105196143176718582108632786633727413001889701877320 5524564725034121627877170163819528686956650175712517916176448239545960 1977957231768356506609116658188714221273991655032101642700620896618014 5228062549408872733498862273473708102022339172936080208349201439574298 3380502025264249895579043315191987090464265311200514383806938375788403 9659612169829634993430868532682230844149048719401860703720605281370571 1145334424706368118035274581592773749749588916484771081408732753642167 523727171628885482315559148553938607978373746810084, a[18,3] = .460642 1591970182124675148021186975631427265502989909844945002040393362578235 4825274656555456537147290728841899595183598875846134453727361182482484 2841665400959367066047537661703292904043048223017124047172353126347098 0357554092341902479621785865677753259566486570294090926392478011987223 8312441359861500463145981009194414597090273179329317867002613667079209 3255951117177178289274695790138433236737809015558740653590798141504035 1636841203263378952731850344660306004265183116818069813443714954313692 9433342117132930399797737506436995915082519633080925928746922590986371 2089248935866648102941033811908816082536055324535890454566822362382927 2819941303046221054376628032396594515386439004775236216996494465879309 2503897725576554317382147838715333288815807375070414472663600647496448 6626082895796413005438486318113080850442216551260, a[18,1] = .18178130 0700095283888472062582262379650443831463199521664944651080295621478430 0321819974998359659658011347900780235405827365353422410412324212213665 7336627078792599143655411974434029866717754757910368688740474175333818 2799425905302988491423237452931761578779640861510145820158912641236704 9585661767776598175504262237409596067456172857540355943525832635487631 6775830682330863844879919465743924184370172101668457581041100561958052 7658868892099528714895195939049767648651505826551596310594888834852630 3533050826971595607915498602501328529618404194127924504613427186683992 1980199770840141656311622211391743026199651190471256103315473495922033 3556154516251412771482956311381697259300178584693325476732480146010548 3491502489068322870436868298740937718966586183285205408022993862479935 18324091958782555785336882580157040101290877084, a[18,10] = .100000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000, a[18,9] = 1.7795095943 1708102446142106794824453926275743243327790535999750038692030116154030 7118677272650672796875303920367423351481986150499157717033096603339694 3274004076838459019688220696869049034691099147451120289694533873365640 6136076344565167175031265882825849887937423742256273802398941588838673 2455914096495860933259521075905176737079981973393872394937904670262471 2488799179978009776946116939164134858452082079166306967170826853099304 8995570402821627667759018104072000349861680407647974513072493482301694 7441600941598741125352971617890070220882237016738771891990511577692645 5636180746574776633048929587349589406832301546408919355160385945887783 3083579143687575480862400958148008517421135703692035257857296363573096 8864965000633483787282167415184542940538206105281257740776514784472451 11901945810773401188324541855571339555372810, a[18,7] = -1.04594895940 8833060950500687564099051315881231723784892860799571162295692535474761 2264629276010725362093058212842582052055101297194869694087189355907963 2213124753901382841257554130741960769507116519211560679222848597342808 9719584930234915959831823826588384981098766214509773579469701172989280 9610860858892459613920532806799251736743832876790384228811568054972683 1201178791726852230953305921397069009638024639927603256008231924498847 9765375523500303127895999324028866018075163901909006764531973689263021 1026933944906864271623980443614495539183680885523370527889800000138358 9303727834448723506762793561085525261943888536736705458676477723091498 8531356035037223602843512892139915047088778545987688369208840325080509 3218778528451826183580578632807550787910781834683264520890199882434008 6746584656383616298359439685138736719058943, a[18,11] = -.282547569539 0440816124777852222872764084893759762111899528770188407477720704209073 1060038963201396446277639018226959229229093374731033933124520442802000 1122499910741337317311131680705717041772241396326052430762576407942159 7574790818180815437471526027327690302369583304452126551118280347220159 4029590887220235089582725354342690719592945971513744938479737270085807 8932742296134618491177489165181491421009391112847630667472514899227915 8330653732377518313084908550640076322471510471310955959592964996120079 2954349721652710441779295038585342130880907090709372978271462609776353 5004670711611430142738812611685583897586361599862454888459229622771600 9991423508742519933192745398738781132319096617081256936212345693757980 4751952530239663879176004757596490280994742061456124331314497691883303 7153345230888625101860286742364290966400967, a[18,12] = -.159327350119 9725491692619843734858592780315421275519314618208481319295132597866290 4812518482308103260237980813407673123507097232216997978146024344796908 2652484741571038199004683272242885298398593626962068902763762223003894 3915933517573665535243443321585126043998520667342131418603071496967275 3006136282332116766538645752699076208207171978916140860538213748242327 6285097515749508297848937726961973938307770585877358725827551671576636 8094936472060097699712187058834960434266593259349687655024943030432191 2020775690112191736006112084958590505755138808610903496000015512665024 2105967767081621617584621259470062191278289408412130309951370010914457 0126430876748605758995922601517807620035651596919196529903089997268858 3258188700220010446855619373521926497033940240903667931213172119792024 8352194023741980688275760974239565743264336, a[18,14] = -.259111214548 3227445129770761917673792677836845431824287781563647721266450257458921 6994312444302145351034973568522290774367663450630221640665146397409843 6788039643974651739934708102258524214625447132276534448633570242645112 4176942320144787254549443736208506148695790426146095768881742813405074 8264922094010519614317671858210863278663372741300188970187732055245647 2503412162787717016381952868695665017571251791617644823954596019779572 3176835650660911665818871422127399165503210164270062089661801452280625 4940887273349886227347370810202233917293608020834920143957429833805020 2526424989557904331519198709046426531120051438380693837578840396596121 6982963499343086853268223084414904871940186070372060528137057111453344 2470636811803527458159277374974958891648477108140873275364216752372717 1628885482315559148553938607978373746810084, a[18,13] = -.145515894647 0015108609919610810841113086501305786264049455713518588525807482385112 8928084081526026304785046772948881778040457059566996621030267640469480 5529930978288631213743290949243200253071579725905384078679340844904328 3016577168203603440787526971667302126862750839709512680903854205020034 3702385874350978524102524073929294341823895738442764133470053122388730 2027793440245860130482312012042783329528066408187016260096663605320889 1854337781529378593240099709084690257054906885282774696651320060480551 7524372658739153301983531281129519797401301519972947282983246837220828 9184376429953803748128184585965167979075158705311247842369674553766528 2458601450101992646364161059457833887854734474101798628494268954085145 3713421769266681758846529119902835895199860984173212047429680631155074 5694394785328706147005529722674203567408465, `b*`[15] = -.333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333333333333333e-1, a[18,8] = .93032784541 5626983292300564432428777137601651182965794680397440979011786306013992 8498777729052846886742959255930521670442747420471166270297576400558675 6035693776906814358294915972893884649635591395152977732383985062274294 8361427168342852539339645345261819290873282096240875241107348787728846 7035356647219066181613615992003510438586958489266038969016882965556131 6737742004793713329518676470113638739888609541925701046040663338293074 9577376794734473674746010924260791302323846422671105643007962757068996 4134565961450875458090385451039338927666268287091912583718551603390063 5793975001657351076308901467355337272099073745187943566167822076023652 0875656838845961509748414392101768681223317126875393225706568513993102 0771818635542423462465818504784167407109749727452159394391579814557087 31127833027701624579944757746470457699574696, `b*`[14] = -.50000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000e-1, a[17,4] = 0., c[17] = 1., c[4] = .809036761204472681298727796821953655285910174551513523258 2496939409956132646776208801516681519427906390673715060722460168623079 8319408958226276273573750189856094940092869350744506064393542766547431 3929241470310479352946366886148714628056732120148337011065027014455886 3610411282982019164253133796020774930528102848620837810436459023100602 3199496079499381186011607332423423256608795631479235014489328647666188 9019613802787743947254473819510493157090222448300954099360222532477289 5279834427568529460584998682430060440030339374034450612737622055037861 1106879616113520443186612659620002784558844928213677587619591701319616 4318149766456425609077008804543066841843505795140510822692034149283714 5674505258301181036124415341163516852392677824192700006677628893739437 82910045990287553270060875656305380491842270522830378724336675173109, \+ b[4] = 0., a[14,5] = 0., b[6] = 0., b[8] = 0., `b*`[4] = 0., `b*`[6] = 0., `b*`[8] = 0., a[18,16] = 0., a[18,17] = 0., b[18] = 0., `b*`[16] \+ = 0., `b*`[17] = 0., a[18,2] = 0., a[16,11] = 0., a[16,9] = 0., a[16,7 ] = 0., a[16,13] = 0., a[16,14] = 0., a[16,8] = 0., a[16,10] = 0., a[1 6,6] = 0., a[16,5] = 0., c[18] = 1., a[18,4] = 0.\}:" }{TEXT -1 0 "" } }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{PARA 0 "" 0 "" {TEXT -1 42 "#----------------- ------------------------" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 26 "absol ute stability regions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "Digits := 10:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 56 "coefficients of the combined scheme corre ct to 85 digits" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 12814 "e85 := \{c[2]=.1,\nc[3]=.539357840802981787 5324851978813024368572734497010090155054997959606637421764517472534,\n c[4]=.8090367612044726812987277968219536552859101745515135232582496939 409956132646776208802,\nc[5]=.3090367612044726812987277968219536552859 101745515135232582496939409956132646776208802,\nc[6]=.9810741902197952 682548795483105620804890567461187248820278053092163063076419899423642, \nc[7]=.83333333333333333333333333333333333333333333333333333333333333 33333333333333333333333,\nc[8]=.35401736585680237632926418594879674211 58240538073739683241838300209849970156463319588,\nc[9]=.88252766196473 2346425501486979669075182867844268052119663791177918527658519413257061 7,\nc[10]=.64261575824032254815707549702043953595950173636321269590987 52082638489654570997990908,\nc[11]=.3573842417596774518429245029795604 640404982636367873040901247917361510345429002009092,\nc[12]=.117472338 0352676535744985130203309248171321557319478803362088220814723414805867 429383,\nc[13]=.833333333333333333333333333333333333333333333333333333 3333333333333333333333333333333,\nc[14]=.30903676120447268129872779682 19536552859101745515135232582496939409956132646776208802,\nc[15]=.5393 5784080298178753248519788130243685727344970100901550549979596066374217 64517472534,\nc[16]=.1,\nc[17]=1.,\nc[18]=1.,\n\na[2,1]=.1,\na[3,1]=-. 9151765613752914405200150192753421543189513876643697205646603979963048 584489560617612,\na[3,2]=1.4545344021782732280525002171566445911762248 37365378736070160193956968600625407809015,\na[4,1]=.202259190301118170 3246819492054884138214775436378783808145624234852489033161694052200,\n a[4,2]=0.,\na[4,3]=.60677757090335451097404584761646524146443263091363 51424436872704557467099485082156601,\na[5,1]=.184024714708643575149100 6934711206642167740479795914178446349661389134467299750502903,\na[5,2] =0.,\na[5,3]=.19796683122719236906814177051038879337063728746336040155 57458756877941908534751780490,\na[5,4]=-.72954784731363262918514667159 55580230150116089143829614213114788571202431877260745922e-1,\na[6,1]=. 8790073402066813373197770941321254759188868249445485340413779789589432 902346930000504e-1,\na[6,2]=0.,\na[6,3]=0.,\na[6,4]=.41045970252026064 53181748959204534260880353259028486952104060382836232634567776433876, \na[6,5]=.482713753678866489204726942976896106809132737721421333413261 4730367887151617429989716,\na[7,1]=.8597005049024603021884802259458084 014111326156366002225938797696846728899962000680512e-1,\na[7,2]=0.,\na [7,3]=0.,\na[7,4]=.330885963040722183948884057658753173648240154838402 0334486324456561774132656637353804,\na[7,5]=.4896629573094501928445070 111358982011780154784337900972107904505844628620805256247950,\na[7,6]= -.73185637507085073678905758055898881634035561502518819585477539875774 23101247603364721e-1,\na[8,1]=.120930449125333720660378854927668953958 9389969997036788126207242479388194626784582422,\na[8,2]=0.,\na[8,3]=0. ,\na[8,4]=0.,\na[8,5]=.26012467575829562280900761783833517436810875648 46933618878385480736948525315211889536,\na[8,6]=.325402621549091330158 8993343912312593327166759927000007761014763410936811599410398613e-1,\n a[8,7]=-.5957802118173610015601222025633051214449536727629307245388558 993475804309454741922317e-1,\na[9,1]=.11085437958039148350893617101021 84419094257801686565598070379712238628334864034048948,\na[9,2]=0.,\na[ 9,3]=0.,\na[9,4]=0.,\na[9,5]=0.,\na[9,6]=-.605761488255005587620924953 6555168755263444153543392346194660745470782044984741351417e-1,\na[9,7] =.32176370560177839010089879904987890408140436860307712925111029490206 10017274377990772,\na[9,8]=.510485725608063031577759012285123416744672 1370317523540675895192473116437554194666039, a[10,1]=.1120544147528790 048297150027618023630037176111581722293293926514934695608734670818246, \na[10,2]=0.,\na[10,3]=0.,\na[10,4]=0.,\na[10,5]=0.,\na[10,6]=-.144942 7759028659156723498283409807771816684997485068388761852225169215686873 306825460,\na[10,7]=-.333269719096256706589705211415746871709467423992 1154979687242221418137519998082528658,\na[10,8]=.499269229556880061353 3168439699785678602768165926732012403315488354044828766525571429,\na[1 0,9]=.5095046089296861042360986900453862539866432323529896021850604525 937102423941190955351,\na[11,1]=.1139767839641859861380041867369011638 907247525414868316403412210309290664271336257765,\na[11,2]=0.,\na[11,3 ]=0.,\na[11,4]=0.,\na[11,5]=0.,\na[11,6]=-.768813364203356938586214289 1208952708213490233909229874063835373263841258915727093324e-1,\na[11,7 ]=.2395273603243906491077114552718823730197413112010041193395628785781 224443177793593046,\na[11,8]=.3977746623680946390478304624889521045647 164163434546399026133008178160445613368390966,\na[11,9]=.1075589568736 0745555060914744147745025713678282328083854702397343121314601383786631 57e-1,\na[11,10]=-.327769124164018874147061087350233395378262992392394 0719064566523011994227755761389669,\na[12,1]=.798314528280196046351426 8644864003227587376304234139453562837151408388507380447344593e-1,\na[1 2,2]=0.,\na[12,3]=0.,\na[12,4]=0.,\na[12,5]=0.,\na[12,6]=-.52032968680 0603076514949887612959068721311443881683526937297856821281471604892386 9522e-1,\na[12,7]=-.57695414616854888173278435528343350906615928715296 87230218639793413055668210844841955e-1,\na[12,8]=.19478191571210416497 63062621473828711561429213544093647380902228866390247033946064390,\na[ 12,9]=.145384923188325069727524825977071194859203467568236523866582398 0908913337790067458849,\na[12,10]=-.7829427103516707775539867297256924 472520770472391605513350159142016458207969788779419e-1,\na[12,11]=-.11 4503299361098912184303164290554670970133218405658122674674395373718616 1533235079226,\na[13,1]=.985115610164857280120041500306517278413646677 3141955595205285811315908348605429600665,\na[13,2]=0.,\na[13,3]=0.,\na [13,4]=.33088596304072218394888405765875317364824015483840203344863244 56561774132656637353804,\na[13,5]=.48966295730945019284450701113589820 11780154784337900972107904505844628620805256247950,\na[13,6]=-1.378964 8657484356758211272093075190235390432714855947152639672793339874278735 24280873,\na[13,7]=-.8611641950276356666739169996655345733510260609874 270933144115020405879169494864941030,\na[13,8]=5.784288136375372200229 997854865784360068727896894991726018561768761366739727928637196,\na[13 ,9]=3.2880776198510356689046061593731480547726825290334235658192494901 50659566267799708492,\na[13,10]=-2.38633905093136384013422325215527866 1484014659759541045858065415400776902303795495458,\na[13,11]=-3.254793 4248364391865458936758778872674771150467478068026991121214254799698380 61889986,\na[13,12]=-2.16343541686422982353954211300054820889678036420 1099991548873084750091865904259172177,\na[14,1]=.895080295771632891049 6131323365851381481562792415613459917095170757672839845525640729,\na[1 4,2]=0.,\na[14,3]=.197966831227192369068141770510388793370637287463360 4015557458756877941908534751780490,\na[14,4]=-.72954784731363262918514 66715955580230150116089143829614213114788571202431877260745922e-1,\na[ 14,5]=0.,\na[14,6]=-.8512362396620076197390493714459667932893597228757 022271661048887740645775128087411721,\na[14,7]=.3983201123185333017197 186141743736433364809181037739042318564985414294618462922613810,\na[14 ,8]=3.6393726318103560602941292004709004413202738789397780417622872452 57885919339182367288,\na[14,9]=1.5482287703983032236530166307517456491 99817363489734963130650682036414979412951081310,\na[14,10]=-2.12221714 7040537160260624274604272610253184611462601244015607790107056265271775 849169,\na[14,11]=-1.5835039854532617271338434962575321275726918893443 42379752907276826529676767705433797,\na[14,12]=-1.71561608285936264922 0318197513490989126158808275519929730335787990138709296569362588,\na[1 4,13]=-.24403640575012745213541544441221687546559359837091056606913233 07479496900414383703505e-1,\na[15,1]=-.9151765613752914405200150192753 421543189513876643697205646603979963048584489560617612,\na[15,2]=1.454 5344021782732280525002171566445911762248373653787360701601939569686006 25407809015,\na[15,3]=0.,\na[15,4]=0.,\na[15,5]=-.77733364364496823353 89312285753021378033510536295472863344690943163799350772376765098,\na[ 15,6]=0.,\na[15,7]=-.9108956621551760695932035558074842001118890917701 017996479849775333987275797724426330e-1,\na[15,8]=0.,\na[15,9]=0.,\na[ 15,10]=0.,\na[15,11]=0.,\na[15,12]=0.,\na[15,13]=.91089566215517606959 32035558074842001118890917701017996479849775333987275797724426330e-1, \+ a[15,14]=.777333643644968233538931228575302137803351053629547286334469 0943163799350772376765098,\na[16,1]=.1,\na[16,2]=0.,\na[16,3]=-.157178 6657997711633670589982731289218671837541267094194096536643481972116830 948646637,\na[16,4]=0.,\na[16,5]=0.,\na[16,6]=0.,\na[16,7]=0.,\na[16,8 ]=0.,\na[16,9]=0.,\na[16,10]=0.,\na[16,11]=0.,\na[16,12]=0.,\na[16,13] =0.,\na[16,14]=0.,\na[16,15]=.1571786657997711633670589982731289218671 837541267094194096536643481972116830948646637,\na[17,1]=.1817813007000 9528388847206258226237965044383146319952166494465108029562147843003218 20,\na[17,2]=.675,\na[17,3]=.34275815984718983994222055341385087174233 87347039589199372599557781883490612271042488,\na[17,4]=0.,\na[17,5]=.2 5911121454832274451297707619176737926778368454318242877815636477212664 50257458921699,\na[17,6]=-.3582789667179520890489612767219793977397506 346732688024842708024524021503320635232761,\na[17,7]=-1.04594895940883 3060950500687564099051315881231723784892860799571162295692535474761226 ,\na[17,8]=.9303278454156269832923005644324287771376016511829657946803 974409790117863060139928499,\na[17,9]=1.779509594317081024461421067948 244539262757432433277905359997500386920301161540307119,\na[17,10]=.1, \na[17,11]=-.282547569539044081612477785222287276408489375976211189952 8770188407477720704209073106,\na[17,12]=-.1593273501199725491692619843 734858592780315421275519314618208481319295132597866290481,\na[17,13]=- .145515894647001510860991961081084111308650130578626404945571351858852 5807482385112893,\na[17,14]=-.2591112145483227445129770761917673792677 836845431824287781563647721266450257458921699,\na[17,15]=-.34275815984 7189839942220553413850871742338734703958919937259955778188349061227104 2488,\na[17,16]=-.675,\na[18,1]=.1817813007000952838884720625822623796 504438314631995216649446510802956214784300321820,\na[18,2]=0.,\na[18,3 ]=.4606421591970182124675148021186975631427265502989909844945002040393 362578235482527466,\na[18,4]=0.,\na[18,5]=.259111214548322744512977076 1917673792677836845431824287781563647721266450257458921699,\na[18,6]=- .358278966717952089048961276721979397739750634673268802484270802452402 1503320635232761,\na[18,7]=-1.0459489594088330609505006875640990513158 81231723784892860799571162295692535474761226,\na[18,8]=.93032784541562 6983292300564432428777137601651182965794680397440979011786306013992849 9,\na[18,9]=1.77950959431708102446142106794824453926275743243327790535 9997500386920301161540307119,\na[18,10]=.1,\na[18,11]=-.28254756953904 4081612477785222287276408489375976211189952877018840747772070420907310 6,\na[18,12]=-.1593273501199725491692619843734858592780315421275519314 618208481319295132597866290481,\na[18,13]=-.14551589464700151086099196 10810841113086501305786264049455713518588525807482385112893,\na[18,14] =-.2591112145483227445129770761917673792677836845431824287781563647721 266450257458921699,\na[18,15]=-.46064215919701821246751480211869756314 27265502989909844945002040393362578235482527466,\na[18,16]=0.,\na[18,1 7]=0.,\n\nb[1]=.333333333333333333333333333333333333333333333333333333 3333333333333333333333333333333e-1,\nb[2]=.25e-1,\nb[3]=.3333333333333 3333333333333333333333333333333333333333333333333333333333333333333333 33e-1,\nb[4]=0.,\nb[5]=.5e-1,\nb[6]=0.,\nb[7]=.4e-1,\nb[8]=0.,\nb[9]=. 1892374781489234901583064041060123262381623469486258303271944256799821 862794952728707,\nb[10]=.277429188517743176508360262560654340428504319 7180408363394722409866844803871713937960,\nb[11]=.27742918851774317650 83602625606543404285043197180408363394722409866844803871713937960,\nb[ 12]=.18923747814892349015830640410601232623816234694862583032719442567 99821862794952728707,\nb[13]=-.4e-1,\nb[14]=-.5e-1,\nb[15]=-.333333333 3333333333333333333333333333333333333333333333333333333333333333333333 333333e-1,\nb[16]=-.25e-1,\nb[17]=.33333333333333333333333333333333333 33333333333333333333333333333333333333333333333333e-1,\nb[18]=0.,\n\n` b*`[1]=.33333333333333333333333333333333333333333333333333333333333333 33333333333333333333333e-1,\n`b*`[2]=0.,\n`b*`[3]=.3333333333333333333 333333333333333333333333333333333333333333333333333333333333333333e-1, \n`b*`[4]=0.,\n`b*`[5]=.5e-1,\n`b*`[6]=0.,\n`b*`[7]=.4e-1,\n`b*`[8]=0. ,\n`b*`[9]=.1892374781489234901583064041060123262381623469486258303271 944256799821862794952728707,\n`b*`[10]=.277429188517743176508360262560 6543404285043197180408363394722409866844803871713937960,\n`b*`[11]=.27 7429188517743176508360262560654340428504319718040836339472240986684480 3871713937960,\n`b*`[12]=.18923747814892349015830640410601232623816234 69486258303271944256799821862794952728707,\n`b*`[13]=-.4e-1,\n`b*`[14] =-.5e-1,\n`b*`[15]=-.3333333333333333333333333333333333333333333333333 333333333333333333333333333333333333e-1,\n`b*`[16]=0.,\n`b*`[17]=0.,\n `b*`[18]=.333333333333333333333333333333333333333333333333333333333333 3333333333333333333333333e-1\}:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 95 "The stability function R for th e 18 stage, order 10 scheme is given (approximately) as follows." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 117 "evalf[28](subs(e85,StabilityFunction(10,18,'expanded'))):\nmap(co nvert,%,rational,24):\nR := unapply(%,z):\n'R(z)'=R(z);" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#/-%\"RG6#%\"zG,F\"\"\"F)F'F)*&#F)\"\"#F)*$)F'F,F )F)F)*&#F)\"\"'F)*$)F'\"\"$F)F)F)*&#F)\"#CF)*$)F'\"\"%F)F)F)*&#F)\"$? \"F)*$)F'\"\"&F)F)F)*&#F)\"$?(F)*$)F'F1F)F)F)*&#F)\"%S]F)*$)F'\"\"(F)F )F)*&#F)\"&?.%F)*$)F'\"\")F)F)F)*&#F)\"'!)GOF)*$)F'\"\"*F)F)F)*&#F)\"( +)GOF)*$)F'\"#5F)F)F)*&#\"+\\8^55\"0gDg2/WG*F)*$)F'\"#6F)F)F)*&#\"*[J* yC\"/tZJ\\2sZF)*$)F'\"#7F)F)!\"\"*&#\"*zVPl$\"0>/4/PYS\"F)*$)F'\"#8F)F )F)*&#\"*f$p8;\"0^vcd8mU$F)*$)F'\"#9F)F)Ffo*&#\")un1`\"1(G8Ob4 " 0 "" {MPLTEXT 1 0 29 "z0 := newton (R(z)=-1,z=-2.5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#z0G$!+'pWz_#! \"*" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 308 "z0 := newton(R(z)=-1,z=-2.5):\np1 := plot([R(z),-1], z=-2.89..0.49,color=[red,blue]):\np2 := plot([[[z0,-1]]$3],style=point ,symbol=[circle,cross,diamond],color=black):\np3 := plot([[z0,0],[z0,- 1]],linestyle=3,color=COLOR(RGB,0,.5,0)):\nplots[display]([p1,p2,p3],v iew=[-2.89..0.49,-1.47..1.47],font=[HELVETICA,9]);" }}{PARA 13 "" 1 " " {GLPLOT2D 360 253 253 {PLOTDATA 2 "6+-%'CURVESG6$7Y7$$!37++++++!*G!# <$!3m&HN=S-a0'F*7$$!3cm\"HZS\"erGF*$!3];BDra!pc&F*7$$!3WL$e%4G;`GF*$!3 *ygDD&[o9^F*7$$!3L+v=9UuMGF*$!3;487v8B'p%F*7$$!3xmm\"*=cK;GF*$!3+0u!=% e>4VF*7$$!3'*\\PRwPF%y#F*$!34v)y$*=JTq$F*7$$!3eL3(Q$>A_FF*$!3o*yn'Q%Qq <$F*7$$!3]]iv%Gwhr#F*$!3w.A1>gulEF*7$$!3)pmTcjI,o#F*$!3=LH(QCz$HAF*7$$ !3%pmmD0YQk#F*$!31HwIkmMb=F*7$$!3*om\"\\p9c2EF*$!3%)fMC;nfP:F*7$$!3]L3 #>@P``#F*$!33@HiIt-U5F*7$$!3'p;/)zgPoCF*$!3#[@**Rf=V4(!#=7$$!3)**\\Pgq T!*R#F*$!3]())>\"))*ekf%Fco7$$!3)p;/v*fLFBF*$!31!oi&)G^Cv#Fco7$$!3C+v3 ]-'eD#F*$!3%>^zeY?:X\"Fco7$$!3GLLQe'QB=#F*$!3#3%H-x*H+3&!#>7$$!3'pm\"R +3e<@F*$\"3Ml5IYXwy*)!#?7$$!3()***\\,zyY/#F*$\"3HIh1q3#z\"eFhp7$$!39++ DPuZr>F*$\"35kOHwvQW%*Fhp7$$!33++&)pV$4!>F*$\"3)fF6\\CR@@\"Fco7$$!3smT 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\"HB:_'pFhp$\"3Oo&fmoFFco$\"3A!p?K(z#*=8F*7$$\"3E +]ii/?#[$Fco$\"3V_!R1#Ra;9F*7$$\"3E-]PVqflTFco$\"3=gg?aXt;:F*7$$\"3!** *************[Fco$\"3lX))f>iJK;F*-%'COLOURG6&%$RGBG$\"*++++\"!\")$\"\" !F`]lF_]l-F$6$7S7$F($!\"\"F`]l7$F=Fe]l7$FGFe]l7$FQFe]l7$FenFe]l7$FjnFe ]l7$F_oFe]l7$FeoFe]l7$FjoFe]l7$F_pFe]l7$FdpFe]l7$FjpFe]l7$F`qFe]l7$Feq Fe]l7$FjqFe]l7$F_rFe]l7$FdrFe]l7$FirFe]l7$F^sFe]l7$FcsFe]l7$FhsFe]l7$F ]tFe]l7$FbtFe]l7$FgtFe]l7$F\\uFe]l7$FauFe]l7$FfuFe]l7$F[vFe]l7$F`vFe]l 7$FevFe]l7$FjvFe]l7$F_wFe]l7$FdwFe]l7$FiwFe]l7$F^xFe]l7$FcxFe]l7$FhxFe ]l7$F]yFe]l7$FbyFe]l7$FgyFe]l7$F\\zFe]l7$FazFe]l7$FfzFe]l7$F[[lFe]l7$F `[lFe]l7$Fe[lFe]l7$Fj[lFe]l7$F_\\lFe]l7$Fd\\lFe]l-Fi\\l6&F[]lF_]lF_]lF \\]l-F$6&7#7$$!30+++'pWz_#F*Fe]l-%'SYMBOLG6#%'CIRCLEG-Fi\\l6&F[]lF`]lF `]lF`]l-%&STYLEG6#%&POINTG-F$6&F[al-F`al6#%&CROSSGFcalFeal-F$6&F[al-F` al6#%(DIAMONDGFcalFeal-F$6%7$7$F]alF_]lF\\al-%&COLORG6&F[]lF_]l$\"\"&F f]lF_]l-%*LINESTYLEG6#\"\"$-%%FONTG6$%*HELVETICAG\"\"*-%+AXESLABELSG6% Q\"z6\"Q!Ficl-Facl6#%(DEFAULTG-%%VIEWG6$;$!$*G!\"#$\"#\\Fddl;$!$Z\"Fdd l$\"$Z\"Fddl" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 49 "The following p icture shows the stability region." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1854 "R := z ->add(z^j/j!,j=0..1 0)+\n 1010511349/928440407602560*z^11-247893148/47720749314773*z^1 2+\n 365374379/140463704090419*z^13-161369359/342661357567551*z^14 +\n 53066774/1451709553613287*z^15-5539735/3810292037899524*z^16+ \n 1127449/58720278142047659*z^17:\npts := []: z0 := 0: tt := 0: \+ \nwhile tt<=281/20 do\n zz := newton(R(z)=exp(tt*Pi*I),z=z0):\n z0 := zz:\n if (11/20<=tt and tt<=9/10) or (131/10<=tt and tt<=27/2) t hen\n hh := 1/60\n else \n hh := 1/20\n end if;\n tt : = tt+hh;\n pts := [op(pts),[Re(zz),Im(zz)]]:\nend do:\np1 := plot(pt s,color=COLOR(RGB,.05,.43,.22)):\np2 := plots[polygonplot]([seq([pts[i -1],pts[i],[-1.2,0]],i=2..nops(pts))],\n style=patchnogrid,co lor=COLOR(RGB,.1,.85,.45)):\npts := []: z0 := .44+2.9*I: tt := 0: \nwh ile tt<=51/25 do\n zz := newton(R(z)=exp(tt*Pi*I),z=z0):\n z0 := z z:\n if (11/25<=tt and tt<=29/25) then\n hh := 1/75\n else \n hh := 1/25\n end if;\n tt := tt+hh;\n pts := [op(pts),[Re( zz),Im(zz)]]:\nend do:\np3 := plot(pts,color=COLOR(RGB,.05,.43,.22)): \np4 := plots[polygonplot]([seq([pts[i-1],pts[i],[0.46,2.78]],i=2..nop s(pts))],\n style=patchnogrid,color=COLOR(RGB,.1,.85,.45)):\n pts := []: z0 := .44-2.9*I: tt := 0: \nwhile tt<=51/25 do\n zz := ne wton(R(z)=exp(tt*Pi*I),z=z0):\n z0 := zz:\n if (22/25<=tt and tt<= 40/25) then\n hh := 1/75\n else \n hh := 1/25\n end if; \n tt := tt+hh;\n pts := [op(pts),[Re(zz),Im(zz)]]:\nend do:\np5 : = plot(pts,color=COLOR(RGB,.05,.43,.22)):\np6 := plots[polygonplot]([s eq([pts[i-1],pts[i],[0.46,-2.78]],i=2..nops(pts))],\n style=p atchnogrid,color=COLOR(RGB,.1,.85,.45)):\np7 := 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\"+l#*R(y$F^[q$!+@G94HFg]qF^`]l7%F`g^l7$$\"+(=]c*QF^[q$!+C$ov\"HFg]qF^ `]l7%Ffg^l7$$\"+%\\Ph+%F^[q$!+ZPwCHFg]qF^`]l7%F\\h^l7$$\"+vJH=TF^[q$!+ pY!3$HFg]qF^`]l7%Fbh^l7$$\"+j*H;B%F^[q$!+aAvNHFg]qF^`]l7%Fhh^l7$$\"++u rXVF^[q$!+$*flRHFg]qF^`]l7%F^i^l7$$\"+(Qk,Y%F^[q$!+wdbUHFg]qF^`]lFi\\x Fa]x-F$6%7$7$$!3A++++++!*HFNF(7$$\"3!***************)*F-F(-%'COLOURG6& F_jpF)F)F)-%*LINESTYLEG6#\"\"$-F$6%7$7$F($!3/++++++!H$FN7$F($\"3/+++++ +!H$FNFbj^lFej^l-%%FONTG6$%*HELVETICAG\"\"*-%(SCALINGG6#%,CONSTRAINEDG -%+AXESLABELSG6%%&Re(z)G%&Im(z)G-Fc[_l6#%(DEFAULTG-%*AXESSTYLEG6#%$BOX G-%%VIEWG6$;$!$*HFbjp$\"#**Fbjp;$!$H$Fbjp$\"$H$Fbjp" 1 2 0 1 10 0 2 9 1 2 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" " Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 4 "The " }{TEXT 260 30 "inter val of absolute stability" }{TEXT -1 89 " (or stability interval) is \+ the intersection of the stability region with the real line." }}{PARA 0 "" 0 "" {TEXT -1 59 "For this scheme the stability interval is (appr oximately) " }{XPPEDIT 18 0 "[-2.5279, 0];" "6#7$,$-%&FloatG6$\"&z_#! \"%!\"\"\"\"!" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 260 "We can distort the boundary curve horizo ntally by taking the 11th root of the real part of points along the cu rve. In this way we see that the largest interval on the nonnegative i maginary axis that contains the origin and lies inside the stability r egion is " }{XPPEDIT 18 0 "[0, 1.15];" "6#7$\"\"!-%&FloatG6$\"$:\"!\" #" }{TEXT -1 18 " approximately. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 249 "Digits := 25:\npts := []: \+ z0 := 0:\nfor ct from 0 to 40 do\n zz := newton(R(z)=exp(ct*Pi/100*I ),z=z0):\n z0 := zz:\n pts := [op(pts),[surd(Re(zz),11),Im(zz)]]: \nend do:\nplot(pts,color=COLOR(RGB,.8,0,.8),thickness=2,font=[HELVETI CA,9]);\nDigits := 10:" }}{PARA 13 "" 1 "" {GLPLOT2D 261 276 276 {PLOTDATA 2 "6(-%'CURVESG6#7K7$$\"\"!F)F(7$$\":+=#e]vK<(=tqr(!#F$\":[d YQKz*e`EfTJ!#E7$$\":!*R:=\"*faA7'QV;F0$\":xV8$['ezrI&=$G'F07$$\":ZJ)pN MX@QFccDF0$\":li7J-Qp2'zxC%*F07$$\":R-U[zOSm52q\\$F0$\":>t0Y%=fVhqjc7! #D7$$\":af_Qv,k*\\FVdWF0$\":&y^f'*3\\zEjzq:F@7$$\":C'H#pd6byY3KV&F0$\" :Xs*p@eR:#fb\\)=F@7$$\":k**4^*z^>79,@kF0$\":uX!**>VK^d[6*>#F@7$$\":obL V,*pYunD=uF0$\":xhLv%>K(G7uK^#F@7$$\":p9#>^x&*=>vbMF@7$$\":\")\\!**Q:fxEsFY6F@$\":8ujfjE$H%=6*pPF@7$$ \":z)Q.s)*zre0(zC\"F@$\":][^u47M&\\/2%3%F@7$$\":(*QfCqQ#4*G/'\\8F@$\": +ENj&Q>\\9(H#)R%F@7$$\":!H%4'oCODIs.^9F@$\":aCfK?!yry*)Q7ZF@7$$\":9E;5 b69V7E@b\"F@$\":cMhN`>K7C[l-&F@7$$\":1DbYC@zy%Hs_;F@$\":i\"R&4g%3/+vqS `F@7$$\":,v>aP=i%)4sEv\"F@$\":.-ia@T28vm[l&F@7$$\":D0bPIY_-F2=&=F@$\": k!z#zBt'*z)f-pfF@7$$\":vs(H)[>#*>!y%*\\>F@$\":bv\"o<'4Gx>&=$G'F@7$$\": gpKYf6#>CU*o/#F@$\":2*QF9SV[fVM(f'F@7$$\":XL%3%QU\"eOEUU@F@$\":swPM6l2 (QM]6pF@7$$\":)y$yl6n?!*QxiB#F@$\":#*y/))Gmv,QicA(F@7$$\":A@KA4IaBGh\" GBF@$\":rz6a%>=*y4@)RvF@7$$\":oaSL\"HCW!3AxT#F@$\":xSMkCnV5YzR&yF@7$$ \":oKF=V89)*RLX]#F@$\":Ywn#>fa)[FP\"o\")F@7$$\":,#o6C*4=6wm!)e#F@$\":G &pMgUK>bUH#[)F@7$$\":)fHTMP3&G@\\wm#F@$\":R&Qx)G_JZ**\\kz)F@7$$\":T&ei mhRd(H'RUFF@$\":#p.S&oys*>Rg5\"*F@7$$\":p%*Qa=!p>S/56GF@$\":)p$p9AiVhB bZU*F@7$$\":&Rwo'\\AF+)G.sGF@$\":CE4*)\\ab&eG!*Q(*F@7$$\":7+zpP'Gl%3iD #HF@$\":d4D5&*R9G`/`+\"!#C7$$\":$\\TcnC%)pkDLeHF@$\":%*Gpw&f>#42=n.\"F gu7$$\":0-]wFd[8*G>rHF@$\":wBWv8EnnkI\"o5Fgu7$$\":YDG:ja*4\"Fgu7$$\":2m3?Nmra81i!GF@$\":qxWv9=r5^^48\"Fgu7$$!:bS!)y (Q))[I/xNEF@$\":$H*R9oh&Ra)eB;\"Fgu7$$!:!4>A*R:m6fjp7$F@$\":jDiJ$f\"Fgu7$$!:vBH\"y9x(*[f*4R$F@$\":g$HM!e!=LeS;D7Fgu7$$!:<)f_@;,&e*Gw- OF@$\":e\"\\q>B@-G,cc7Fgu-%*THICKNESSG6#\"\"#-%&COLORG6&%$RGBG$\"\")! \"\"F(Fhx-%%FONTG6$%*HELVETICAG\"\"*-%+AXESLABELSG6$Q!6\"Fcy-%%VIEWG6$ %(DEFAULTGFhy" 1 2 0 1 10 2 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 123 "The relevant intersection point of the boundary curve with the imaginary axis can be determined more accurately as follows." }} {PARA 0 "" 0 "" {TEXT -1 86 "First we look for points on the boundary \+ curve either side of the intersection point. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 112 "Digits := 2 5:\nz0 := 1.15*I:\nfor ct from 35 to 38 do\n newton(R(z)=exp(ct*Pi/1 00*I),z=z0);\nend do;\nDigits := 10:" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#^$$\":=klM5Y*poGaJ9!#I$\":`!4/c`6$G$>a*4\"!#C" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#^$$\":QEo')*GL/f9(z\\)!#J$\":qxWv9=r5^^48\"!#C" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#^$$!:&G&\\qR!y?3@jlU!#J$\":$H*R9oh&Ra) eB;\"!#C" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#^$$!:MBI$H%oG&f@![z#!#I$\" :jDiJ$f\"!#C" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 107 "Then we apply the bisection method to calculate the pa rameter value associated with the intersection point." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 178 "real_part := proc(u)\n Re(newton(R(z)= exp(u*Pi*I),z=1.15*I))\nend proc:\nDigits := 15:\nu0 := bisect('real_p art'(u),u=0.35..0.38);\nnewton(R(z)=exp(u0*Pi*I),z=1.15*I);\nDigits := 10:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#u0G$\"0o)G%=TMn$!#:" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#^#$\"0PC%)o " 0 "" {MPLTEXT 1 0 138 "evalf[28](subs (e85,subs(b=`b*`,StabilityFunction(9,18,'expanded')))):\nmap(convert,% ,rational,24):\n`R*` := unapply(%,z):\n'`R*`(z)'=`R*`(z);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/-%#R*G6#%\"zG,D\"\"\"F)F'F)*&#F)\"\"#F)*$)F'F, F)F)F)*&#F)\"\"'F)*$)F'\"\"$F)F)F)*&#F)\"#CF)*$)F'\"\"%F)F)F)*&#F)\"$? \"F)*$)F'\"\"&F)F)F)*&#F)\"$?(F)*$)F'F1F)F)F)*&#F)\"%S]F)*$)F'\"\"(F)F )F)*&#F)\"&?.%F)*$)F'\"\")F)F)F)*&#F)\"'!)GOF)*$)F'\"\"*F)F)F)*&#\"+.A ob7\"0Frcy*\\3[F)*$)F'\"#5F)F)F)*&#\"*fcZ<)\"/IB%*3^PGF)*$)F'\"#6F)F)! \"\"*&#\"+CnE??\"0&4e+4aM:F)*$)F'\"#7F)F)F)*&#\"*Xk&QJ\"0y\"y#QM_T\"F) *$)F'\"#8F)F)F`o*&#\"*o'zaN\"1R8U'**fS8#F)*$)F'\"#9F)F)F)*&#\")lOC7\"1 =!)Q+RB.>F)*$)F'\"#:F)F)F`o*&#\"(_\"3?\"2B?Pf&\\\"*3CF)*$)F'\"#;F)F)F) " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 124 "We \+ can find the point where the boundary of the stability region intersec ts the negative real axis by solving the equation: " }}{PARA 256 "" 0 "" {TEXT -1 1 " " }{XPPEDIT 18 0 "`R*`(z) = 1;" "6#/-%#R*G6#%\"zG\"\" \"" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "z_0 := newton(`R*`(z)=1,z=-2.35);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$z_0G$!+ED$)[B!\"*" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 321 "z_0 := newt on(`R*`(z)=1,z=-2.35):\np_1 := plot([`R*`(z),1],z=-2.79..0.49,color=[r ed,blue]):\np_2 := plot([[[z_0,1]]$3],style=point,symbol=[circle,cross ,diamond],color=black):\np_3 := plot([[z_0,0],[z_0,1]],linestyle=3,col or=COLOR(RGB,0,.5,0)):\nplots[display]([p_1,p_2,p_3],view=[-2.79..0.39 ,-0.07..1.47],font=[HELVETICA,9]);" }}{PARA 13 "" 1 "" {GLPLOT2D 369 264 264 {PLOTDATA 2 "6+-%'CURVESG6$7Z7$$!3/++++++!z#!#<$\"3wnc788u_qF* 7$$!3]LLeLj7sFF*$\"3IpP_+hHPlF*7$$!3%pmmrm_Uv#F*$\"3#3]4RM^s0'F*7$$!3S ++v+!zjt#F*$\"3:$eP$)[v.h&F*7$$!3TLLLM`]=FF*$\"3SDC/'olX>&F*7$$!3y**\\ 7#F*7$$!3y**\\U;R(3 [#F*$\"3([)[?+X\">\"=F*7$$!3mmm\"Q>IeW#F*$\"3]?$fzYGna\"F*7$$!3SLLGg,& 3Q#F*$\"35o/[06-a6F*7$$!3;++N*4nNJ#F*$\"3mz>w)e+Sb)!#=7$$!3[LL[hG)RC#F *$\"3$*3)=M.xnL'F]p7$$!3#****\\6y@Y<#F*$\"3[k?-#Q^?y%F]p7$$!3^mmY%QvK5 #F*$\"3EpdB%[$f$o$F]p7$$!3WLLVRMVS?F*$\"3?^N$>&*p^-$F]p7$$!3'*****R$H) op>F*$\"3wl9dgrNODF]p7$$!3%)*****4m_')*=F*$\"3yzpjw$f1C#F]p7$$!3!)**** fmm>I=F*$\"3cd8&)fy!z3#F]p7$$!3ELL[l?.oxj0Z.#F]p7$$!3_mmESE\\J;F*$\"3%pJ(**oGr$3#F]p7$$!3#)*** \\0/^'e:F*$\"3c-$zH=d#z@F]p7$$!3emmE#)Q<%\\\"F*$\"3q\"[1&\\:U!H#F]p7$$ !3&)***\\0AKMU\"F*$\"3z&>on<5_V#F]p7$$!3w***\\'H%pgN\"F*$\"3gHx61z!=f# F]p7$$!3Omm;CMy&G\"F*$\"3/qWi,d`sFF]p7$$!3Tmm@I*Q7A\"F*$\"39R%*H+D>`HF ]p7$$!37LL$Q(*=;:\"F*$\"3SwwlF;djJF]p7$$!3ELL[0MIz5F*$\"3k:b$e8L%*R$F] p7$$!3))***\\1\\_j,\"F*$\"34c95oxo>OF]p7$$!3QHLL!yPO[*F]p$\"3Qt'H2m**R (QF]p7$$!37)****>&yC\"y)F]p$\"3YQ)zq#>sbTF]p7$$!3q)*****Qj4%4)F]p$\"3? +:_L1D^WF]p7$$!3'z***\\<>CHuF]p$\"3if;4\">Csv%F]p7$$!3M'****pVM5p'F]p$ \"3@c?Om1o@^F]p7$$!3Eomm#=Ax-'F]p$\"3kg&)4dZ#HZ&F]p7$$!3/&*****pZ\\>`F ]p$\"3Oq&3/b'eueF]p7$$!3uIL$3ZNxn%F]p$\"3G18`hO&RE'F]p7$$!3A&****f/Bh( RF]p$\"3*y\\x+![A>nF]p7$$!3qkm;K/'fJ$F]p$\"33yM*[:sx<(F]p7$$!3g&***\\$ G+fi#F]p$\"3C#)zCV7d!p(F]p7$$!3ijmmc.C^>F]p$\"3d$f1a.EtA)F]p7$$!3.**** \\PR$\\C\"F]p$\"3U(\\lH%4WH))F]p7$$!3[\"GLL4pnk&!#>$\"3Y1Z/#>q4X*F]p7$ $\"3b6nmO:%)48Faz$\"3m:[QvX=85F*7$$\"3@1ML=z%)3#)Faz$\"39a?Ka=b&3\"F*7 $$\"3)\\++!G=$[X\"F]p$\"35sRn$G)fc6F*7$$\"3=RLLsmS\"=#F]p$\"3wHY(=,iPC \"F*7$$\"3ipmmuQEJGF]p$\"3'p\\g=!HFF8F*7$$\"3p/+]%>ZT_$F]p$\"3.g#\\*Q$ )\\A9F*7$$\"3c.+]T\\K(=%F]p$\"31)GR7oL+_\"F*7$$\"3!***************[F]p $\"3mvk'G@;Bj\"F*-%'COLOURG6&%$RGBG$\"*++++\"!\")$\"\"!Fd]lFc]l-F$6$7S 7$F($\"\"\"Fd]l7$F=Fi]l7$FGFi]l7$FQFi]l7$FenFi]l7$F_oFi]l7$FdoFi]l7$Fi oFi]l7$F_pFi]l7$FdpFi]l7$FipFi]l7$F^qFi]l7$FcqFi]l7$FhqFi]l7$F]rFi]l7$ FbrFi]l7$FgrFi]l7$F\\sFi]l7$FasFi]l7$FfsFi]l7$F[tFi]l7$F`tFi]l7$FetFi] l7$FjtFi]l7$F_uFi]l7$FduFi]l7$FiuFi]l7$F^vFi]l7$FcvFi]l7$FhvFi]l7$F]wF i]l7$FbwFi]l7$FgwFi]l7$F\\xFi]l7$FaxFi]l7$FfxFi]l7$F[yFi]l7$F`yFi]l7$F eyFi]l7$FjyFi]l7$F_zFi]l7$FezFi]l7$FjzFi]l7$F_[lFi]l7$Fd[lFi]l7$Fi[lFi ]l7$F^\\lFi]l7$Fc\\lFi]l7$Fh\\lFi]l-F]]l6&F_]lFc]lFc]lF`]l-F$6&7#7$$!3 !)*****f_K)[BF*Fi]l-%'SYMBOLG6#%'CIRCLEG-F]]l6&F_]lFd]lFd]lFd]l-%&STYL EG6#%&POINTG-F$6&F_al-Fdal6#%&CROSSGFgalFial-F$6&F_al-Fdal6#%(DIAMONDG FgalFial-F$6%7$7$FaalFc]lF`al-%&COLORG6&F_]lFc]l$\"\"&!\"\"Fc]l-%*LINE STYLEG6#\"\"$-%%FONTG6$%*HELVETICAG\"\"*-%+AXESLABELSG6%Q\"z6\"Q!F^dl- Ffcl6#%(DEFAULTG-%%VIEWG6$;$!$z#!\"#$\"#RFidl;$!\"(Fidl$\"$Z\"Fidl" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 83 "The following picture shows the stability region for the 18 stage, order 9 scheme. " }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2258 "`R*` := \+ z -> add(z^j/j!,j=0..9)+\n 1255682203/480849978567127*z^10-8174756 59/28375108942330*z^11+\n 2020266724/153454090058095*z^12-31385644 5/141523438278178*z^13+\n 355479668/2134059996421339*z^14-12243665 /1903233900388018*z^15+\n 2008152/24089149559372023*z^16:\npts := \+ []: z0 := 0: tt := 0: \nwhile tt<=241/20 do\n zz := newton(`R*`(z)=e xp(tt*Pi*I),z=z0):\n z0 := zz:\n if (9/20<=tt and tt<=17/20) or (5 6/5<=tt and tt<=58/5) then\n hh := 1/200\n else \n hh := 1 /20\n end if;\n tt := tt+hh;\n pts := [op(pts),[Re(zz),Im(zz)]]: \nend do:\np_1 := plot(pts,color=COLOR(RGB,0,.33,.17)):\np_2 := plots[ polygonplot]([seq([pts[i-1],pts[i],[-1.2,0]],i=2..nops(pts))],\n \+ style=patchnogrid,color=COLOR(RGB,.05,.65,.35)):\npts := []: z 0 := 0.14+2.7*I: tt := 0:\nwhile tt<=41/20 do\n zz := newton(`R*`(z) =exp(tt*Pi*I),z=z0):\n z0 := zz:\n if (3/20<=tt and tt<=21/20) the n\n if (11/20<=tt and tt<=17/20) then\n if (37/60<=tt and tt<=2/3) then\n hh := 1/360;\n else\n h h := 1/180;\n end if;\n else\n hh := 1/60;\n \+ end if;\n else \n hh := 1/20\n end if;\n tt := tt+hh;\n \+ pts := [op(pts),[Re(zz),Im(zz)]]:\nend do:\np_3 := plot(pts,color=COLO R(RGB,0,.33,.17)):\np_4 := plots[polygonplot]([seq([pts[i-1],pts[i],[0 .18,2.5]],i=2..nops(pts))],\n style=patchnogrid,color=COL OR(RGB,.05,.65,.35)):\npts := []: z0 := 0.14-2.7*I: tt := 0:\nwhile tt <=41/20 do\n zz := newton(`R*`(z)=exp(tt*Pi*I),z=z0):\n z0 := zz: \n if 19/20<=tt and tt<=38/20 then\n if 23/20<=tt and tt<=31/20 then\n if 79/60<=tt and tt<=83/60 then\n hh := 1/3 60;\n else\n hh := 1/180;\n end if;\n \+ else\n hh := 1/60;\n end if;\n else \n hh := 1/20 \n end if;\n tt := tt+hh;\n pts := [op(pts),[Re(zz),Im(zz)]]:\ne nd do:\np_5 := plot(pts,color=COLOR(RGB,0,.33,.17)):\np_6 := plots[pol ygonplot]([seq([pts[i-1],pts[i],[0.18,-2.5]],i=2..nops(pts))],\n \+ style=patchnogrid,color=COLOR(RGB,.05,.65,.35)):\np_7 := plot( [[[-2.79,0],[0.69,0]],[[0,-2.99],[0,2.99]]],color=black,linestyle=3): \nplots[display]([p_||(1..7)],view=[-2.79..0.69,-2.99..2.99],font=[HEL VETICA,9],\n labels=[`Re(z)`,`Im(z)`],axes=boxed,scaling=co nstrained);" }}{PARA 13 "" 1 "" {GLPLOT2D 501 564 564 {PLOTDATA 2 "6/- %'CURVESG6$7^cl7$$\"\"!F)F(7$F($\"3++++Fjzq:!#=7$F($\"3!******Hl#fTJF- 7$$!3'******RuoIb$!#E$\"3/+++=*)Q7ZF-7$$!3++++(yb,@\"!#C$\"3E+++/T=$G' F-7$$!33+++DPlBirR&yF-7$$!32+++9ImK9!#A$\"3)******f*ot C%*F-7$$!3++++.[r&=)FF$\"3-+++=Vb*4\"!#<7$$!3=+++w&ex_$!#@$\"3++++Pyqc 7FN7$$!3.+++Z/n:7!#?$\"32+++82F99FN7$$!3/+++b#z7O\"FX$\"3,+++MC3I9FN7$ $!3/+++'3P;_\"FX$\"3%******HU5fW\"FN7$$!3-+++Az%zp\"FX$\"3'******H'ovh 9FN7$$!3%******>=!\\\"*=FX$\"3++++!>CwZ\"FN7$$!3;+++M2i.@FX$\"31+++D^^ $\\\"FN7$$!3$*******p%zdL#FX$\"3'******RqK%4:FN7$$!35+++1Y\\*e#FX$\"3! 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2966407955330121834768695275300715154744916945517937932116933760330162 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)-156636771209259891563148838579486090246 55658277564849024776697902253497207086587149056930800333851714625/4807 0309119394170604205227191708357566629707904303119252670753614387879249 273849359705418873847680047166*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+14930063691254862 4030689921673243763005719473699651996367873545835371099163041334572869 0556404917158448125/57294611680142781720147311328495636991577570772426 1502443994657944460939160263988314326749280184510832438*(147+42*7^(1/2 ))^(1/2)*(147-42*7^(1/2))^(1/2)-43410856406175463493545954252718692845 0582815825166210019282489242047327200463190084516847996876492564375/27 2831484191156103429272911088074461864655098916315001163806979973552828 17155428014967940441913548134878*(147-42*7^(1/2))^(1/2)*7^(1/2)-291584 0877516854246155649486022383391770917962257084768997653761569329091002 73162187704524582598979589125/1299197543767410016329871005181306961260 262375791976196018128476064537277007401334046092401995883244518-114508 6388164614986736183307816394206807013509997493147409904207548782357425 198395055647759654423310222375/272831484191156103429272911088074461864 65509891631500116380697997355282817155428014967940441913548134878*(147 -42*7^(1/2))^(1/2), a[15,1] = 856/204687*(147+42*7^(1/2))^(1/2)*7^(1/2 )-20060/9747-15163/204687*7^(1/2)+4931/68229*(147+42*7^(1/2))^(1/2), a [17,10] = 1/10, c[13] = 5/6, c[16] = 1/10, c[7] = 5/6, c[2] = 1/10, b[ 10] = 7/30+1/60*7^(1/2), c[9] = 1/2+1/42*(147+42*7^(1/2))^(1/2), c[12] = 1/2-1/42*(147+42*7^(1/2))^(1/2), b[17] = 1/30, b[3] = 1/30, b[4] = \+ 0, b[5] = 1/20, b[16] = -1/40, c[17] = 1, b[15] = -1/30, b[14] = -1/20 , b[8] = 0, b[13] = -1/25, b[6] = 0, b[7] = 1/25, b[2] = 1/40, c[10] = 1/2+1/42*(147-42*7^(1/2))^(1/2), c[11] = 1/2-1/42*(147-42*7^(1/2))^(1 /2), b[11] = 7/30+1/60*7^(1/2), b[12] = 7/30-1/60*7^(1/2), b[9] = 7/30 -1/60*7^(1/2), c[15] = 125/171+1/171*7^(1/2)-41/3591*(147+42*7^(1/2))^ (1/2)-2/3591*(147+42*7^(1/2))^(1/2)*7^(1/2), c[8] = 9696052372969447/1 424778961231272150*(147+42*7^(1/2))^(1/2)-1346035618447661/14247789612 31272150*(147+42*7^(1/2))^(1/2)*7^(1/2)-550982039509513/22615539067163 050*7^(1/2)+7139251608029666/33923308600744575+16258185291863/85486737 67387632900*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+74812 3489349/305309777406701175*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2) +1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )+4728339326944/712389480615636075*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+43021 804800073/407079703208934900*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), c[4] = 125/114+1/1 14*7^(1/2)-41/2394*(147+42*7^(1/2))^(1/2)-1/1197*(147+42*7^(1/2))^(1/2 )*7^(1/2), c[6] = -4/3591*(147+42*7^(1/2))^(1/2)*7^(1/2)-82/3591*(147+ 42*7^(1/2))^(1/2)+2/171*7^(1/2)+193/171+41/6498*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)- 4/7581*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)-142/204687*(147+42*7^(1/2))^(1/2) *(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42 *7^(1/2))^(1/2))^(1/2)+32/204687*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2), c[5] = 34/57+1/114*7^(1/2)-41/2394*(147+42*7^(1/2))^( 1/2)-1/1197*(147+42*7^(1/2))^(1/2)*7^(1/2), c[3] = 125/171+1/171*7^(1/ 2)-41/3591*(147+42*7^(1/2))^(1/2)-2/3591*(147+42*7^(1/2))^(1/2)*7^(1/2 ), c[14] = 34/57+1/114*7^(1/2)-41/2394*(147+42*7^(1/2))^(1/2)-1/1197*( 147+42*7^(1/2))^(1/2)*7^(1/2), a[16,4] = 0, a[16,14] = 0, a[16,13] = 0 , a[16,7] = 0, a[2,1] = 1/10, a[16,12] = 0, a[16,9] = 0, a[16,11] = 0, a[16,2] = 0, a[16,10] = 0, a[16,8] = 0, a[16,6] = 0, a[17,3] = 856/18 42183*(147+42*7^(1/2))^(1/2)*7^(1/2)+18928/87723-15163/1842183*7^(1/2) +4931/614061*(147+42*7^(1/2))^(1/2), a[16,3] = -680/5526549*(147+42*7^ (1/2))^(1/2)*7^(1/2)-18680/263169-17560/5526549*7^(1/2)-8320/1842183*( 147+42*7^(1/2))^(1/2), a[13,5] = 175585925/252555664-32843525/47733020 496*(147+42*7^(1/2))^(1/2)*7^(1/2)-52282675/3409501464*(147+42*7^(1/2) )^(1/2)-20499575/2273000976*7^(1/2)+7317529975/508138460188704*7^(1/2) *(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42 *7^(1/2))^(1/2))^(1/2)-535206235775/254069230094352*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+7820003047075/32012722991888352*(147+42*7^(1/2))^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)-636957235375/16006361495944176*(147+42*7^(1/2))^(1/2)*7^(1/ 2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2), a[15,5] = -1/1064*(147+42*7^(1/2))^(1/2)*7^( 1/2)-69/152+3/304*7^(1/2)-41/2128*(147+42*7^(1/2))^(1/2), a[14,3] = 30 778940933/3957059225836*7^(1/2)+459003115105/989264806459-330027166045 /20774560935639*(147+42*7^(1/2))^(1/2)-15330321823/20774560935639*(147 +42*7^(1/2))^(1/2)*7^(1/2), a[13,4] = -14753702975/416532550088+420366 16273525/7906204333220328*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+128447350/468599118849 *7^(1/2)+48045631788725/249045436496440332*(147+42*7^(1/2))^(1/2)*7^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)+85572976175/5623189426188*(147+42*7^(1/2))^( 1/2)-1148670097025/2635401444406776*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3782 14205172575/498090872992880664*(147+42*7^(1/2))^(1/2)*(81872+30130*7^( 1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)+25159175225/39362325983316*(147+42*7^(1/2))^(1/2)*7^(1/2), a[14, 4] = -7391600435/52066568761-5518923/52066568761*7^(1/2)+202379726/520 66568761*(147+42*7^(1/2))^(1/2)+58663649/364465981327*(147+42*7^(1/2)) ^(1/2)*7^(1/2), a[15,2] = 27185/9747+16360/204687*7^(1/2)-5710/68229*( 147+42*7^(1/2))^(1/2)-970/204687*(147+42*7^(1/2))^(1/2)*7^(1/2), a[17, 5] = 1/3192*(147+42*7^(1/2))^(1/2)*7^(1/2)+23/152-1/304*7^(1/2)+41/638 4*(147+42*7^(1/2))^(1/2), a[17,16] = -27/40, a[15,7] = 200343/2606420* 7^(1/2)+374283/5212840-177381/36489880*(147+42*7^(1/2))^(1/2)*7^(1/2)- 6474/651605*(147+42*7^(1/2))^(1/2), a[16,15] = 18680/263169+17560/5526 549*7^(1/2)+8320/1842183*(147+42*7^(1/2))^(1/2)+680/5526549*(147+42*7^ (1/2))^(1/2)*7^(1/2), a[13,12] = -3075/2092+75/523*7^(1/2)-65/21966*(1 47+42*7^(1/2))^(1/2)*7^(1/2)-185/3138*(147+42*7^(1/2))^(1/2), a[17,12] = 127/722-103/1444*7^(1/2)-55/4332*(147+42*7^(1/2))^(1/2)+41/30324*(1 47+42*7^(1/2))^(1/2)*7^(1/2), a[17,11] = -90745/5776-30065/5776*7^(1/2 )-101609/121296*(147-42*7^(1/2))^(1/2)*7^(1/2)-40867/17328*(147-42*7^( 1/2))^(1/2)+18311/121296*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) +6007/121296*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+115 41/40432*(147+42*7^(1/2))^(1/2)*7^(1/2)+6231/5776*(147+42*7^(1/2))^(1/ 2), a[13,11] = -1834355/364008*(147-42*7^(1/2))^(1/2)-1290125/121336*7 ^(1/2)+283855/849352*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-430 9885/2548056*(147-42*7^(1/2))^(1/2)*7^(1/2)+318715/121336*(147+42*7^(1 /2))^(1/2)-4557565/121336+80925/849352*(147+42*7^(1/2))^(1/2)*7^(1/2)* (147-42*7^(1/2))^(1/2)+415745/849352*(147+42*7^(1/2))^(1/2)*7^(1/2), a [15,14] = 69/152-3/304*7^(1/2)+41/2128*(147+42*7^(1/2))^(1/2)+1/1064*( 147+42*7^(1/2))^(1/2)*7^(1/2), a[14,12] = -196385/188803+829/188803*7^ (1/2)+14809/1321621*(147+42*7^(1/2))^(1/2)*7^(1/2)-27343/377606*(147+4 2*7^(1/2))^(1/2), a[17,13] = -717523/5212840-22017/2606420*7^(1/2)-146 8/1954815*(147+42*7^(1/2))^(1/2)+68359/109469640*(147+42*7^(1/2))^(1/2 )*7^(1/2), a[15,13] = -374283/5212840+177381/36489880*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+6474/651605*(147+42*7^(1/2))^(1/2)-200343/2606420*7^(1/ 2), a[17,15] = -18928/87723+15163/1842183*7^(1/2)-4931/614061*(147+42* 7^(1/2))^(1/2)-856/1842183*(147+42*7^(1/2))^(1/2)*7^(1/2), a[17,14] = \+ -23/152+1/304*7^(1/2)-41/6384*(147+42*7^(1/2))^(1/2)-1/3192*(147+42*7^ (1/2))^(1/2)*7^(1/2), a[14,11] = -13550689/2265636*(147-42*7^(1/2))^(1 /2)-5090608/188803*7^(1/2)+1188595/5286484*(147+42*7^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)-26347687/7929726*(147-42*7^(1/2))^(1/2)*7^(1/2)-558 817/755212*(147+42*7^(1/2))^(1/2)+686759/2643242*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(147-42*7^(1/2))^(1/2)-19540577/755212+6728711/2643242*(147+ 42*7^(1/2))^(1/2)*7^(1/2), a[12,11] = -16199/2088*7^(1/2)-27391/2088+6 547/14616*(147+42*7^(1/2))^(1/2)+9071/14616*(147+42*7^(1/2))^(1/2)*7^( 1/2)-101179/43848*(147-42*7^(1/2))^(1/2)-45839/43848*(147-42*7^(1/2))^ (1/2)*7^(1/2)+67729/920808*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1 /2))^(1/2)+15875/131544*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[14,13] = 174832/1954815+29721/651605*7^(1/2)-8356/1172889*(147+42*7 ^(1/2))^(1/2)-115946/41051115*(147+42*7^(1/2))^(1/2)*7^(1/2), a[16,5] \+ = 0, a[14,5] = 0, a[8,5] = 2026754068958343142229484127647381323268311 12339399545821949398052833209933/1214756194017443628189212197751640719 066000084861737168161400034665360546875+326491051774592486789838906226 0182882315005694191023762148162587091487923/85032933581221053973244853 84261485033462000594032160177129800242657523828125*(147+42*7^(1/2))^(1 /2)*7^(1/2)+3457192900292212916227176103435985064323172386470554829919 37470794178891749/6802634686497684317859588307409188026769600475225728 1417038401941260190625000*(147+42*7^(1/2))^(1/2)-193705544097788656028 72827039355432003040352718019219272975102129691861217/4319133134284244 01133942114756138922334577807950839882012942234547683750000*7^(1/2)+52 2993248184314791199067431506943181041793721800176595033519684622206241 608859/160079599442663507367871832049953012645942238383011834630574767 4481734805787500000*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-33705902613615174200 59419302812324617402616009426200496710352795644395587817/5717128551523 696691709708287498321880212222799393279808234813123149052877812500*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)+170682216863629810859349586873026273517936916061700 700211249373197311706214619/160079599442663507367871832049953012645942 2383830118346305747674481734805787500000*(147+42*7^(1/2))^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)-168340602254465543856081282108917368739971816378281752 93977225624154955810217/4001989986066587684196795801248825316148555959 57529586576436918620433701446875000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2), a[6,4] = 1998635609/20016721863-5552742803/4203511 59123*7^(1/2)+152449714/20016721863*(147+42*7^(1/2))^(1/2)+226532729/4 20351159123*(147+42*7^(1/2))^(1/2)*7^(1/2)-9799137688/23960016070011*7 ^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)+25731859412/3422859438573*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)-19618251806/23960016070011*(147+42*7^(1/2))^(1/2)*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+27897804688/167720112490077*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2), a[9,6] = 3877367067606547150670243120997179853087 4258543/1160787006048210869881040852620643121219094385514+972868275568 24246260120831757798046374991275580/4062754521168738044583642984172250 924266830349299*7^(1/2)+1915011995643940523197685267342303383789371813 8/36564790690518642401252786857550258318401473143691*(147+42*7^(1/2))^ (1/2)+75993996724318585486580009179133626840144939993/3656479069051864 2401252786857550258318401473143691*(147+42*7^(1/2))^(1/2)*7^(1/2)-4981 155254542586734673200106729200073336239073/487530542540248565350037158 10067011091201964191588*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+3312934256666700 05182985172804706547754986263/6964722036289265219286245115723858727314 566313084*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)-20142574042830765995798869642678796560 98879085/170635689889086997872513005335234538819206874670558*(147+42*7 ^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2) *7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+25398369647530551996631743 21141578606411370451/1462591627620745696050111474302010332736058925747 64*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[7,4] = -14753702975 /416532550088+42036616273525/7906204333220328*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+12 8447350/468599118849*7^(1/2)+48045631788725/249045436496440332*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+85572976175/562318942618 8*(147+42*7^(1/2))^(1/2)-1148670097025/2635401444406776*7^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)-378214205172575/498090872992880664*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)+25159175225/39362325983316*(147+42*7^(1/2))^ (1/2)*7^(1/2), a[10,9] = -208268696365777950185450478770/3060591191583 1592807818592740611*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1868 9465574415815105366733059/323872083765413680506016854398*(147+42*7^(1/ 2))^(1/2)+698284814259170553964020875453/27205255036294749162505415769 432*(147-42*7^(1/2))^(1/2)*7^(1/2)-915552540152468833702054685653/4284 82766821642299309460298368554*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7 ^(1/2))^(1/2)+274451461684817355121112568343/3400656879536843645313176 971179*(147-42*7^(1/2))^(1/2)-118861525623823828656608584719/906841834 5431583054168471923144*(147+42*7^(1/2))^(1/2)*7^(1/2)+3260010691891001 715261650353673/2914848753888723124554151689582+2161770141668660859466 252912081/5829697507777446249108303379164*7^(1/2)+45118939969371380303 9656354669/979389181306610969850194967699552*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)+293365774024492559903813936299/139912740186658709978599281099936* (81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42* 7^(1/2))^(1/2))^(1/2)-3924068573407728972295576459/9793891813066109698 50194967699552*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-13 6955143070159833249385666935/979389181306610969850194967699552*(147+42 *7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+62572336278289311676731251711/32 6463060435536989950064989233184*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)+17854114260364984228669720019/326463060435536989950064989233184 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-5120793773723830 1595720371581/2938167543919832909550584903098656*(147+42*7^(1/2))^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-71111395847101963313544 716455/20567172807438830366854094321690592*(147+42*7^(1/2))^(1/2)*7^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[10,7] = -150724054 80671732150277549276360746709/201616264265934901076295987083389663658* 7^(1/2)-5868204479493774544952553411926427093/144011617332810643625925 705059564045470-5685054155219627069388668723721213723/1008081321329674 505381479935416948318290*(147+42*7^(1/2))^(1/2)-9031059025178041386108 48267854633385/201616264265934901076295987083389663658*(147+42*7^(1/2) )^(1/2)*7^(1/2)+3811937923562438200402297650944763151/1008081321329674 505381479935416948318290*(147-42*7^(1/2))^(1/2)*7^(1/2)+16795681095482 427129323968498410155207/1008081321329674505381479935416948318290*(147 -42*7^(1/2))^(1/2)+16609742899190464054243737654426104887/635091232437 69493839033235931267744052270*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7 ^(1/2))^(1/2)+5322205213656981335658758545698167947/907273189196707054 8433319418752534864610*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+2 7222669061287889626672571679594976/50404066066483725269073996770847415 9145*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-38851676443532111896927912017612963 /72005808666405321812962852529782022735*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-27631005 97178444846739116118894587/201616264265934901076295987083389663658*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-7466764080328516656789512326 194499/7056569249307721537670359547918638228030*(147+42*7^(1/2))^(1/2) *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)+145937438141695270779059899842481/28802 323466562128725185141011912809094*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+72631995294244144269978215958106071/7056569249307721537670359 547918638228030*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+5 115333440499852023629118530729273/272181956759012116452999582562576045 93830*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)+248793624408293359571527220272971542/952636848656542407585 49853896901616078405*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2), a[7,1] = 23484440040702826655/11834736161072411073 6-551455360041366425/2485294593825206325456*(147+42*7^(1/2))^(1/2)*7^( 1/2)-1023735498586576025/177521042416086166104*(147+42*7^(1/2))^(1/2)+ 706640092513505975/355042084832172332208*7^(1/2)-26202134961238475/213 0252508993033993248*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+400334183876209075/2 130252508993033993248*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2) *7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-8361862111222775/355042084 832172332208*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42* 7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+254089080610 8275/552287687516712516768*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2), a[9,8] = 40741587778625139025567704568412138569290947806827 2274951433974317046880884875/12708001341073330901093911309066174318888 58812630850771791181679715753760298213+1864460337989375924415310051914 492821439861414492702948026884914906603677875/470196049619713243340474 71843544844979887776067341478556273722149482889131033881*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)-1844332426917980460180388573326882122426192552222432424993653 81455371302895125/8895600938751331630765737916346322023222011688415955 402538271758010276322087491*7^(1/2)-2030686779391465453787147875593891 288093032990564328706998466780629439176875/230396064313659489236832612 0333697404014501027299732449257412385324661567420660169*(147+42*7^(1/2 ))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+3577658129252097324668666982937 67096132416679592459432473468417796082904806375/2668680281625399489229 7213749038966069666035065247866207614815274030828966262473*(147+42*7^( 1/2))^(1/2)+1582637697032736588022149750397592547662510561804151725897 981262696368255125/219424823155866180225554868603209276572809621647593 566595944036697586815944824778*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+608731151 1144369660908124260659847906083375970162949017059100023179277074500/98 7411704201397811014996908714441744577643297414171049681748165139140671 751711501*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^( 1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-246487247851114 26652892642141558515603108571815651299915919150485140744878750/2668680 2816253994892297213749038966069666035065247866207614815274030828966262 473*(147+42*7^(1/2))^(1/2)*7^(1/2), a[8,1] = 2742695885677054882037023 06851641817505965551781478869800609622637247534413241/2355506973504094 366040727669387441095536001405258857435888985946972395453125000+913579 2114987148343496854577028074151639314387160836109868106220976195404111 /127197376569221095766199294146921819158944075883978301538005241136509 354468750000*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-41457382090864906688282429773186229 78578992858545068061307006810522839377998037/2967938786615158901211316 86342817578037536177062616036922012229318521827093750000*7^(1/2)+49551 6085049212522677164593388785866389462236666060634364296228529920757416 87/1869801435567550107763129623959750741636477915494481032608677044706 6875106906250000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 3436281198083271509659341267119507764815503842343123917126414340422798 89557659/4451908179922738351816975295142263670563042655939240553830183 43977782740640625000*(147+42*7^(1/2))^(1/2)-26286632321791917195065564 728600109649328136672867250359010193221831137408911/178076327196909534 0726790118056905468225217062375696221532073375911130962562500000*7^(1/ 2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2)-152213673586844769072294877312431366957223739 72742891462526609756188972402511/2671144907953643011090185177085358202 337825593563544332298110063866696443843750000*(147+42*7^(1/2))^(1/2)*( 81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)-1750036271456734675957150508406986134104220304131 2192582887886486600418741547/44519081799227383518169752951422636705630 4265593924055383018343977782740640625000*(147+42*7^(1/2))^(1/2)*7^(1/2 ), a[6,5] = 64670461/77449662-155514541/119195029818*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)+171625382/7318993059*7^(1/2)-7528307/648950717898*(147+42*7^(1/2) )^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-182341979/7318993059*(147+42*7^( 1/2))^(1/2)-50209241/417182604363*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+189868 96/139060868121*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-10019362/ 7318993059*(147+42*7^(1/2))^(1/2)*7^(1/2), a[10,6] = -1481447342388326 6601905409943746686230786682310052081/77840916634128293736518897998797 53556886032496441451591136*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)+90193601081041005359254254304847048488926118006232957/648674 305284402447804324149989979463073836041370120965928*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-2015729790919034339882782552228313 152961391554211281/778409166341282937365188979987975355688603249644145 1591136*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2)+5367621147335831202110572988855241970840718092423513/52953004513 012444718720338774692201067251921744499670688*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+46 7928142900522216803735715016673924144442994570968933/92667757897771778 257760592855711351867690863052874423704*(147-42*7^(1/2))^(1/2)+2369045 5303936865653252032794104130875655308170307301/44127503760843703932266 94897891016755604326812041639224*7^(1/2)+13895614054092071765716299511 858544991575368504043579/661912556412655558984004234683652513340649021 8062458836*(147-42*7^(1/2))^(1/2)*7^(1/2)+2323273066916162290878698699 82722422938308698582183/7784091663412829373651889799879753556886032496 441451591136*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)-679254374160965466335691396424934344194742439282570 93/7784091663412829373651889799879753556886032496441451591136*(147+42* 7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-2199994246006306815384283 65788272777577808706581104179/9266775789777177825776059285571135186769 0863052874423704*(147+42*7^(1/2))^(1/2)-445986595762548533099274533560 00411758923542786019717/3706710315910871130310423714228454074707634522 11497694816*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+8584372341876449905319847823 591241967902915758022005/111201309477326133909312711426853622241229035 6634493084448*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+19109257123 7201739430634941323689750086957348448970047/64867430528440244780432414 9989979463073836041370120965928*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2) )^(1/2)+10212330301529062763275229017234100108584825308190501/11583469 737221472282220074106963918983461357881609302963*(147+42*7^(1/2))^(1/2 )*7^(1/2)+6851503078929056479399467207009449872282361013166745/1112013 094773261339093127114268536222412290356634493084448*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)-6691715611349588058631467777382160266123119 3143720419/4412750376084370393226694897891016755604326812041639224, a[ 7,5] = 175585925/252555664-32843525/47733020496*(147+42*7^(1/2))^(1/2) *7^(1/2)-52282675/3409501464*(147+42*7^(1/2))^(1/2)-20499575/227300097 6*7^(1/2)+7317529975/508138460188704*7^(1/2)*(81872+30130*7^(1/2)+1848 *(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-535 206235775/254069230094352*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+7820003047075/32012722 991888352*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^( 1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-636957235375/16 006361495944176*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), \+ a[10,8] = 157098178794931511461310715062572825340744306648323937706125 51450983266297361853739299841312836349875/6585587549441699048292794405 5742111484571920428076034763677546890167924041409653829232959687377529 98074*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+1224577921 6304423176197887607539945676971627492564284251744006067968338371321405 62789946625219515375/1493330510077482777390656327794605702598002730795 3749379518718115684336517326452115472326459722795914*(147+42*7^(1/2))^ (1/2)-1715330904914015474259126591431086362533238222175336978015883501 9165451653812194704121494604456066125/44799915302324483321719689833838 171077940081923861248138556154347053009551979356346416979379168387742* 7^(1/2)-39049652157308266523979951991628053496310016253618418974697009 731303218642501346129500389260855877875/447999153023244833217196898338 3817107794008192386124813855615434705300955197935634641697937916838774 2+23765923234158236881349958472079335015390703112739026542472633582715 12118202948508267801474654242875/1045331357054237944173459429456223991 81860191155676245656631026809790355621285164808306285218059571398*(147 +42*7^(1/2))^(1/2)*7^(1/2)-3931814575205920570810585619771431389758157 3500811284081374139281641340640741562736038366458430726125/94079822134 8814149756113486510601592636741720401086210909679241288113200591566483 274756566962536142582*(147-42*7^(1/2))^(1/2)*7^(1/2)-14383106022745837 1869046283189103588249297506954245011000344964188872521558888965875462 04318851043875/1343997459069734499651590695015145132338202457715837444 15668463041159028655938069039250938137505163226*(147-42*7^(1/2))^(1/2) +508588653538493012980466276788046504406790255105009572170149335501301 85724882237064131478251422982125/6585587549441699048292794405574211148 457192042807603476367754689016792404140965382923295968737752998074*(14 7+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+346381300596059576364007667 0175809235913024349701346298015332258218765181499464584032404782793662 5/18417742957622287587818094709466803665375367013142957568073085676010 6817047026242757492026336581149606*(147+42*7^(1/2))^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)-144663088265820888241616433387569625603658045738872295690441 4365148901110740294057346404812871264625/24863952992790088243554427857 7801849482567454677429927168986656626144203013485427722614235554384551 9681*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-57661519452098449175060828859383291 53036317235503658056510223180848658892396309935749574198952583125/2486 3952992790088243554427857780184948256745467742992716898665662614420301 34854277226142355543845519681*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+555706331930246044 2671239397898822565026522653505459723887040310635332239130867787856324 37678012875/2707408214770476275409259922291620138810178950932014762506 7435943735702105912857685351327871477428992082*(147+42*7^(1/2))^(1/2)* 7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-2913128267522255188796355049098558848511 2017191544251176089452780758128709018030381350618894851878875/10442860 2569718370622928597002676776782678330964520569410974395782980565265663 879643497978932841511826602*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)-6471067261822521304717274512329510387078232091876933869543082196958 3798987815175178372948428632627625/73100021798802859436050017901873743 7478748316751643985876820770480863956859647157504485852529890582786214 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+7381759153989034 6991378108879642438407359954006407757530849254061030500755593518325699 32779334041125/3655001089940142971802500895093687187393741583758219929 38410385240431978429823578752242926264945291393107*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+340866389056668138759 7641099315425145045439628158713621233662334273373979609337653099805711 099442625/731000217988028594360500179018737437478748316751643985876820 770480863956859647157504485852529890582786214*(147+42*7^(1/2))^(1/2)*7 ^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[8,7] = -1078413 1772279251149197187860815170493739744471507238390685583181211594570972 9/84987074650953539933368040298954024279183134561752546866710597602719 4078125000+73672328315057014436917171912805968299973946929316265575106 07299691709519383/4461821419175060846501822115695086274657114564492008 710502306374142768910156250*(147+42*7^(1/2))^(1/2)*7^(1/2)-12576550599 8242926031159383602038144394871580100983510311118444723192950103409/17 8472856767002433860072884627803450986284582579680348420092254965710756 40625000*(147+42*7^(1/2))^(1/2)+31784006673615517605100250129868444390 1039610182032191821815713412500128121791/59490952255667477953357628209 26781699542819419322678280669741832190358546875000*7^(1/2)-12113520487 41510079573903601797003784188871667998229267364268866665176634809/1983 0317418555825984452542736422605665142731397742260935565806107301195156 25000*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)+1215274561033311962964136666613609 266777413972218591555947447905304762963109/849870746509535399333680402 989540242791831345617525468667105976027194078125000*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)-416919597780473513801865897057465504964177739449886721129226462400 4043334417/53541857030100730158021865388341035295885374773904104526027 676489713226921875000*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848 *(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+609 6603286386249723020042976229775597904906337572071945100400782082557624 947/187396499605352555553076528859193623535598811708664365841096867713 996294226562500*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), \+ a[3,2] = 27185/9747+16360/204687*7^(1/2)-5710/68229*(147+42*7^(1/2))^( 1/2)-970/204687*(147+42*7^(1/2))^(1/2)*7^(1/2), a[9,1] = 2201442195535 42885001521879597/4143089561189736197168212943745-75341709194652618402 17609623/12429268683569208591504638831235*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+163996853894308222419120784613/174009761569968920281064943637290*(1 47+42*7^(1/2))^(1/2)-393812766805145617588888061086/290016269283281533 80177490606215*7^(1/2)+37188358191716092870461460579/42922407853925667 00266268609719820*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+4766175689110042112504 961151/68130806117342328575655057297140*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+14664540 375066088813704786887/12876722356177700100798805829159460*(147+42*7^(1 /2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)+2813731379193624295707634743/16692047 49874887050103548903779930*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2), a[4,1] = 125/456+1/456*7^(1/2)-41/9576*(147+42*7^(1/2))^(1/ 2)-1/4788*(147+42*7^(1/2))^(1/2)*7^(1/2), a[8,6] = -616921968102172724 226973299936512092486082017735125978085528697240983689279189787121/325 1586380639455692827554135186290151726218403285907275789556041369881666 3537458593750*7^(1/2)+878936436643608291658972781125806898996384959844 602582866361364925862894494000321073/162579319031972784641377706759314 50758631092016429536378947780206849408331768729296875-5354418945994735 62855690905334517159783875219230195083667667165162036297866495148977/1 8208883731580951879834303157043224849666823058401080744421513831671337 3315809768125000*(147+42*7^(1/2))^(1/2)*7^(1/2)+7281783489412504603252 657294933476499735864755103070824169372031029758424100224773541/910444 1865790475939917151578521612424833411529200540372210756915835668665790 48840625000*(147+42*7^(1/2))^(1/2)+32731296559306531451602496882620838 39315129014838179010197294734328876650839586780901387/1071228629928907 3990906520547288529179058992005257355801943176587172247752169088658793 750000*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)-123425737131642473471408412346616 2690587990958485510509090293315827515308458877756968407/15303266141841 5342727236007818407559700842742932247940027759665531032110745272695125 6250000*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-3531891809334117884490697961589274777398 558076121845445934361026402799365469054705517/171396580788625183854504 328756616466864943872084117692831090825394755964034705418540700000*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+9408370696691301046964220579 0742338621858790835817435763099822790151213198442109694889/10712286299 2890739909065205472885291790589920052573558019431765871722477521690886 58793750000*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[4, 3] = 125/152+1/152*7^(1/2)-41/3192*(147+42*7^(1/2))^(1/2)-1/1596*(147+ 42*7^(1/2))^(1/2)*7^(1/2), a[5,4] = -7391600435/52066568761-5518923/52 066568761*7^(1/2)+202379726/52066568761*(147+42*7^(1/2))^(1/2)+5866364 9/364465981327*(147+42*7^(1/2))^(1/2)*7^(1/2), a[3,1] = 856/204687*(14 7+42*7^(1/2))^(1/2)*7^(1/2)-20060/9747-15163/204687*7^(1/2)+4931/68229 *(147+42*7^(1/2))^(1/2), a[5,3] = 30778940933/3957059225836*7^(1/2)+45 9003115105/989264806459-330027166045/20774560935639*(147+42*7^(1/2))^( 1/2)-15330321823/20774560935639*(147+42*7^(1/2))^(1/2)*7^(1/2), a[6,1] = 1622395884629/8371203785442+6095751125/4185601892721*7^(1/2)-486728 725759/87897639747141*(147+42*7^(1/2))^(1/2)-3564315787/12556805678163 *(147+42*7^(1/2))^(1/2)*7^(1/2)+314904761/185561683910631*7^(1/2)*(818 72+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)+7689433315/79526435961699*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-5755 4150152/5010165465587037*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 16047777499/10020330931174074*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30 130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2), a[10,1] = -11333796059669508986918484634343/696039046279 875681124259774549160*(147+42*7^(1/2))^(1/2)+1024646572182257503423500 0511949/33144716489517889577345703549960+71304723592490095179127097619 91/696039046279875681124259774549160*(147-42*7^(1/2))^(1/2)*7^(1/2)-31 63710684228675411953492288687/4872273323959129767869818421844120*(147+ 42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-839479529879463849811 215065617/139207809255975136224851954909832*(147+42*7^(1/2))^(1/2)*7^( 1/2)+3779772328790539204517522704405/46402603085325045408283984969944* 7^(1/2)+19775092585358924849156543136937/69603904627987568112425977454 9160*(147-42*7^(1/2))^(1/2)-1252247990555646840959655367247/6960390462 79875681124259774549160*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+ 2413662911980037430074333346527/12876722356177700100798805829159460*7^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)+2430027242946650734584417850873/3679063530 336485743085373094045560*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-81600369148574653340398 763704/1931508353426655015119820874373919*(147+42*7^(1/2))^(1/2)*(8187 2+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/ 2))^(1/2))^(1/2)-3642132148263701242016234169619/540822338959463404233 549844824697320*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1 46916710174194734728553414458/1931508353426655015119820874373919*(8187 2+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/ 2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+137608349700081453107009579075 51/540822338959463404233549844824697320*7^(1/2)*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)* (147-42*7^(1/2))^(1/2)-923088713088538746304952886061/1802741129864878 01411183281608232440*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2)-9163582274257494418197866053/6438361178088850050399 402914579730*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147 -42*7^(1/2))^(1/2), a[5,1] = 814575217354/2967794419377+13054629167/11 871177677508*7^(1/2)-639063386975/124647365613834*(147+42*7^(1/2))^(1/ 2)-16107087271/62323682806917*(147+42*7^(1/2))^(1/2)*7^(1/2), a[9,7] = 230577215869981920188634791599547161/24829589195312179935504431906821 38715-28602292051593186030117879352009568/5214213731015557786455930700 4324913015*(147+42*7^(1/2))^(1/2)*7^(1/2)+6657239863986489741790011386 2091081/7448876758593653980651329572046416145*(147+42*7^(1/2))^(1/2)+1 80169271369741701884489309569703377/1738071243671852595485310233477497 1005*7^(1/2)+2999715894387136714332422137531863/3476142487343705190970 6204669549942010*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-39026263439821784967939 4198222136/2482958919531217993550443190682138715*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) -428766133903138353136983169905606/17380712436718525954853102334774971 005*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^ (1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+401499923459048686617 9445367676427/364994961171089045051915149030274391105*(147+42*7^(1/2)) ^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[7,6] = -1474575388997848375/59 173680805362055368+1199033592053976275/177521042416086166104*7^(1/2)+5 22211257095714275/88760521208043083052*(147+42*7^(1/2))^(1/2)+33649098 0823466425/1242647296912603162728*(147+42*7^(1/2))^(1/2)*7^(1/2)+11325 0225815580960475/261089073133458728797458*7^(1/2)*(81872+30130*7^(1/2) +1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2 )-14196169090862512210625/4177425170135339660759328*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+749989145463651687875/1392475056711779886919776*(147+42*7^(1/2))^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)-24403249357910073775/1547194507457533207688 64*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2), a[14,2] = 0, \+ a[15,12] = 0, a[15,11] = 0, a[13,2] = 0, a[12,2] = 0, a[11,2] = 0, a[1 0,2] = 0, a[15,10] = 0, a[15,9] = 0, a[9,2] = 0, a[6,2] = 0, a[8,2] = \+ 0, a[7,2] = 0, a[15,8] = 0, a[5,2] = 0, a[15,6] = 0, a[15,3] = 0, a[15 ,4] = 0, a[4,2] = 0, a[13,3] = 0, a[12,3] = 0, a[11,3] = 0, a[10,3] = \+ 0, a[11,4] = 0, a[9,3] = 0, a[8,3] = 0, a[7,3] = 0, a[12,4] = 0, a[6,3 ] = 0, a[9,4] = 0, a[10,4] = 0, a[8,4] = 0, a[12,5] = 0, a[17,2] = 27/ 40, a[16,1] = 1/10, a[11,5] = 0, a[10,5] = 0, a[9,5] = 0, a[17,4] = 0, a[12,10] = -3587/511560*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2 ))^(1/2)-10051/10440*7^(1/2)-433/609*(147-42*7^(1/2))^(1/2)+51283/2192 40*(147+42*7^(1/2))^(1/2)*7^(1/2)-97697/109620*(147+42*7^(1/2))^(1/2)+ 2647/36540*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1427/24360*(1 47-42*7^(1/2))^(1/2)*7^(1/2)+7147/1044, a[11,8] = 22040738916508414917 9976992642703609090254268013775094116815972284039140837837612275054351 441745349822748125/164959855701878274175178367602942940288628651940272 75463015803966138500407824949702983786688148172986030779498694*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1 6378938560845411777642885744456339616606142051452903289788938691670866 1609891331427862711838348718734970125/78552312238989654369132556001401 4001374422152096536926810276379339928590848807128713513651816579666001 465690414*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-222693050322897 6159131221712573395690850519343726406306608527146724666643756784719354 776957322257131447614125/164959855701878274175178367602942940288628651 94027275463015803966138500407824949702983786688148172986030779498694*( 147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-419007910638938411 9444764208110943843775816042910541789139548183066012054129557652271632 90835877181093613875/2749330928364637902919639460049049004810477532337 879243835967327689750067970824950497297781358028831005129916449*7^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+68051710491719967047053 2693166904124944992434973008005852409888570117709319963310904164936334 4588473714375/23565693671696896310739766800420420041232664562896107804 30829138019785772546421386140540955449738998004397071242*(147+42*7^(1/ 2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+199400824092562 6918223248869727943503684618256240315133800154439848612488829934845691 43682761881598511882125/1178284683584844815536988340021021002061633228 144805390215414569009892886273210693070270477724869499002198535621*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1882257666322422763215157145 8647925050016657306558804938177129536777544070526457615062326711291807 8135602375/14861248261430475150916970054319183809786365039664212128843 0666361608111782206754080935015208542098973250265754*(147+42*7^(1/2))^ (1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-761333102743415883426253902390234 7824787774048625217780052469896182800066202430071363812390156782386703 8125/10109692694850663367970727928108288305977119074601504849553106555 21143617566032340686632756520694550838437182*(147-42*7^(1/2))^(1/2)*7^ (1/2)+5216622371036646503828431676461622141548296717391561033064368620 983081480823799574416201935718465119831629375/148612482614304751509169 7005431918380978636503966421212884306663616081117822067540809350152085 42098973250265754*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-202752 0528713456286449690790834021230175514268512433446883312904143296842175 090894650973725204359219570500/561087944564211816922375400010010000981 7301086403835191501974138142347077491479490810811798689854757153326360 1*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)+1325477917828241177311864892528497125336288156 85576233023794687281919596634280317847237720963195106787220875/1122175 8891284236338447508000200200019634602172807670383003948276284694154982 9589816216235973797095143066527202*7^(1/2)*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+34056 1013468019896075156083011071031722987624508447332630992508208521805502 8538774545404710665811959484698125/10109692694850663367970727928108288 3059771190746015048495531065552114361756603234068663275652069455083843 7182-72837297999471370519706443255095933662449130201892751107847431732 79238821217141574545344404771578588576186875/2123035465918639307273852 8649027405442551950056663160184061523765944015968886679154419287886934 585567607180822*(147+42*7^(1/2))^(1/2)-2950661037511419049813292677524 0080680180572818855882925169651966656854730568330528366831667736592319 36892125/7076784886395464357579509549675801814183983352221053394687174 588648005322962226384806429295644861855869060274*(147-42*7^(1/2))^(1/2 )+13474022906676455371920085625307798862154541952066125518687807685251 23922728334315928482768053318547044489625/2123035465918639307273852864 9027405442551950056663160184061523765944015968886679154419287886934585 567607180822*(147+42*7^(1/2))^(1/2)*7^(1/2)-82056868194731864151356325 9967919137732367238304201981737313867164085401766176630459432964685872 48680680875/1010969269485066336797072792810828830597711907460150484955 310655521143617566032340686632756520694550838437182*7^(1/2), a[13,7] = -49520698440592458113217331127982736199619/52722653105541976631451400 6223063970465670*(147+42*7^(1/2))^(1/2)*7^(1/2)-9005369432423751418079 6150888873769123/105445306211083953262902801244612794093134*7^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+205396131188900390373936168 999155512157/2214351430432763018520958826136868675955814*(147+42*7^(1/ 2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-303297448182139 35363802431839963663789/527226531055419766314514006223063970465670*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+36219195025598038192 9398388914842469323/263613265527709883157257003111531985232835*(147+42 *7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+43681354859820501381460658054272 007612/790839796583129649471771009334595955698505*(147+42*7^(1/2))^(1/ 2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-46363600883267 95195182763712179456588187/527226531055419766314514006223063970465670* (147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-3775321902544322 60836071077520078081534/263613265527709883157257003111531985232835*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1894292585307834629508110195 934081020109/75318075865059966616359143746151995780810*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)+401431249025484283632462248618264503917/26361326552770988315725 7003111531985232835*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-13853016224722512178 930135011942749308223/527226531055419766314514006223063970465670*(147+ 42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+87682067917450173873978992795 173519424007/527226531055419766314514006223063970465670*(147-42*7^(1/2 ))^(1/2)*7^(1/2)-12770884700384986336129302197442275484261/75318075865 059966616359143746151995780810*(147+42*7^(1/2))^(1/2)+2112819197033403 08383552192089947471936283/527226531055419766314514006223063970465670* (147-42*7^(1/2))^(1/2)+28879342109344125784502828162882699840397/75318 075865059966616359143746151995780810*7^(1/2)+3708649376500925542597484 02988888269033389/75318075865059966616359143746151995780810, a[13,9] = 5415066020502933970307829556334509/1707401806077858457438839893689552 32*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+48855303443153 4823283453635766699/5887592434751236060133930667895008*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)*(147-42*7^(1/2))^(1/2)-1645195401863094082907956183660465/17074 0180607785845743883989368955232*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)-5119584500402407597869114628918663/17074018060778584574 3883989368955232*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-87608588 4746255039598329445525515/170740180607785845743883989368955232*(147+42 *7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-237858776 2953971472468077930900747/1195181264254500920207187925582686624*(147+4 2*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)- 48303823384563675603676595904263195/2845669676796430762398066489482587 2*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-21368903020068 0816822835452223852283/28456696767964307623980664894825872*(147+42*7^( 1/2))^(1/2)*7^(1/2)+3984707530030969729621310525930551/243914543725408 35106269141338422176*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1296467412484481967 65191168156483535/28456696767964307623980664894825872*(147+42*7^(1/2)) ^(1/2)*(147-42*7^(1/2))^(1/2)+778929275012406489541059977532793399/284 56696767964307623980664894825872*(147-42*7^(1/2))^(1/2)*7^(1/2)+112815 56232606709991567019703208353/24391454372540835106269141338422176*(818 72+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1 /2))^(1/2))^(1/2)+1205159370986197861232360146627807597/40652423954234 72517711523556403696+479806346744331012645326917933262329/406524239542 3472517711523556403696*7^(1/2)+296265236166916062635185238695503127/40 65242395423472517711523556403696*(147-42*7^(1/2))^(1/2)-72720140832570 636163904219193423875/4065242395423472517711523556403696*(147+42*7^(1/ 2))^(1/2), a[14,8] = -507860977602985456148679245953171578984123159634 6652519930732008156620358744570964381931824796620930306895126875/94705 6973669090914039293357007189562589367979452633853081485384728713523231 33673258299819925878474252921281447787*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)-193875530718048050832492356577036184183796013749 8703117345594584093443027925675014628576248029131117773207459875/13529 3853381298702005613336715312794655623997064661979011640769246959074747 33381894042831417982639178988754492541*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7 ^(1/2))^(1/2)+33093891873262006770556517828382427570710577952804572233 648371525699906893302888792757227328075659887712291250/130929535530289 0664570451645632059303118941907077373990435233250777023304006456312326 725621095094114095685918633*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)+50650121332794306778169013728900297267805733832625885872703 5793494396988521040175085372933893896415025916381250/91650674871202346 5199316151942441512183259334954161793304663275543916312804519418628707 9347665658798669801430431*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) +255556347790955172388867307427368794706086076872820176614274348910553 0273210110870039846952836898320525245667875/28411709210072727421178800 7102156868776810393835790155924445615418614056969401019774899459777635 422758763844343361*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)+65844114163224300920797494677651521844544741784470790 47626717983656282026771161064748672762580867362272454591250/1988819644 7050909194825160497150980814376727568505310914711193079302983987858071 38424296218443447959311346910403527*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+4813407664041889255822976169 4474852194301033031046641628622653674961573513352966340695742330584884 245896290923375/179172940964422605358785229704062890219610158274822620 85325399170543228817890154400218884850841873507309431625257*(147+42*7^ (1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+95645860438036783564435536 3244302587221657366137499706851120413863256239884991654438399226746345 648512489179875/825681755596417536215600136885082443408341743201947561 53573268067019487640046794471054768897888818006034247121*(147+42*7^(1/ 2))^(1/2)*7^(1/2)-1376079947787595900227894049696476725454396308460199 46547388071725991791771970335372513430807980646298745654500/1454772617 0032118495227240507022881145766021189748599893724813897522481155627292 3591858402343899346010631768737*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-5225171391093490 4126246971320103946281799964642399221505758828843039651384999557454332 26553287527222013200524375/1218863543975663982032552583020835987888504 47806001782893370062384647815087688125171557039801645398008907698131*( 147-42*7^(1/2))^(1/2)*7^(1/2)-1371316850314336854855836292443929915469 6830806117657003107266504997374933352750689401761351131623629292252509 500/121886354397566398203255258302083598788850447806001782893370062384 647815087688125171557039801645398008907698131*(147-42*7^(1/2))^(1/2)+1 7805599914777371077347378172156757646948887237686983558319955117700307 292405342513659022666474371837761084802000/255961344234889436226836042 4343755574565859403926037440760771310077604116841450628602697835834553 358187061660751*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-55866338 7338645606047338705411812585195225736251876582049006640421647654245210 27270096183262100850998748434875/1454772617003211849522724050702288114 5766021189748599893724813897522481155627292359185840234389934601063176 8737*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)-29430969132251338906780844974918816 9157604048961880560994267046488617174939735592574267992728564578799899 356125/131060596126415481938984148711917848160054244952690089132655981 0587610914921377690016742363458552666762448367*7^(1/2)+603442870788924 9496258719567031114439241662880705535566820623663921559958877086891156 41669631918784787343276750/1179545365137739337450857338407260633440488 2045742108021939038295288498234292399210150681271126974000862035303*(1 47+42*7^(1/2))^(1/2)-9398779555805430538444945899086991711109805673946 03337599893410464716919008772558475905499403866739921901330500/1310605 9612641548193898414871191784816005424495269008913265598105876109149213 77690016742363458552666762448367, a[14,9] = 19336146215503112509125039 60699361505747477/3410915513790481115718871768652941008280-28832780929 2227796553812780793256866441457/76745599060285825103674614794691172686 30*(147+42*7^(1/2))^(1/2)-301787421411708536315480176200687135345262/2 6860959671100038786286115178141910440205*(147+42*7^(1/2))^(1/2)*7^(1/2 )+667393248823155680146496841077873458000601/3410915513790481115718871 768652941008280*7^(1/2)+14867284312219678160590614284212428817304669/1 58607571391257371880927537242361756885020*(147-42*7^(1/2))^(1/2)-14115 6047776416387884996780861298336113119/63443028556502948752371014896944 702754008*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+789465 0187691718101758116020263459649027779/22205059994776032063329855213930 6459639028*(147-42*7^(1/2))^(1/2)*7^(1/2)-1295050496312787790292752571 7628428944882789/2220505999477603206332985521393064596390280*(147+42*7 ^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+147007730291811639688214793306746 6513437/5116373270685721673578307652979411512420*7^(1/2)*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+14315913056428612452276149479062322453003/2046549308274288669 4313230611917646049680*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-4355845781001921908140975 2656982408241/2302367971808574753110238443840735180589*(147+42*7^(1/2) )^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+13271049607218030788410475524032 3849138469/3330758999216404809499478282089596894585420*7^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-89776318791817122968546171432383 700263427/13323035996865619237997913128358387578341680*(147+42*7^(1/2) )^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-74494590091637201 86710059276586925675469/184189437744685980248819075507258814447120*(14 7+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+2033182319830215215662598543 49962873483809/1903290856695088462571130446908341082620240*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)-114799243978464282946264739770399518 770119/46630625989029667332992695949254356524195880*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), b[1] = 1/30 , a[12,6] = -4399905759276946806862699272467513566212764680915163/2882 99691237512199024144066662213094699482685053387095968*(147+42*7^(1/2)) ^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+290440747243649967 949882892689278247230788962020788911/432449536856268298536216099993319 6420492240275800806439520*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+2023182005735574636953955816149771737134032467940879231/19460 229158532073434129724499699383892215081241103628977840*(147+42*7^(1/2) )^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-3140708083268286841966905382453 145234601400786064687/294183358405624692881779659859401117040288454136 10928160*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+42640943 7912466485861902736936915500591455842554505701/18533551579554355651552 11857114227037353817261057488474080*(81872+30130*7^(1/2)+1848*(147+42* 7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1 /2))^(1/2)+73217027948225169796605064678697417356659697452955859/61778 5052651811855051737285704742345784605753685829491360*(147+42*7^(1/2))^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)-149929961231832056024232324569454830429835 021100449187/389204583170641468682594489993987677844301624822072579556 80*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+35204772438897419231354619498893568939162683089573063/2941833 5840562469288177965985940111704028845413610928160*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)-372182654830750673271256622275672028586582639534730259/30889 2526325905927525868642852371172892302876842914745680*(147+42*7^(1/2))^ (1/2)*7^(1/2)+556253813587861357774658434494052898983717369863529781/3 892045831706414686825944899939876778443016248220725795568*(147+42*7^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)-127898789440682099978558242887629677 64045016550713827/9266775789777177825776059285571135186769086305287442 37040*(147-42*7^(1/2))^(1/2)*7^(1/2)-625029537714518862233508875657908 03421334270308087381/8825500752168740786453389795782033511208653624083 2784480*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)-2332429420210387480756846499203766037803 21666245907075/1853355157955435565155211857114227037353817261057488474 08*(147-42*7^(1/2))^(1/2)+16562954029049659894728101178180898338983763 96016811843/308892526325905927525868642852371172892302876842914745680* (147+42*7^(1/2))^(1/2)+15474237148277612485067783089788403278859734856 39141837/44127503760843703932266948978910167556043268120416392240-5848 953645085719177496358013787553625817149039472755157/308892526325905927 525868642852371172892302876842914745680*7^(1/2), a[11,10] = -168597751 1/18955709640*(147+42*7^(1/2))^(1/2)*7^(1/2)+2284927279/398069902440*( 147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-362337631/2843356 4460*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-924299009/189557096 40*(147-42*7^(1/2))^(1/2)*7^(1/2)+284775197/1353979260*(147+42*7^(1/2) )^(1/2)+240369427/4738927410*(147-42*7^(1/2))^(1/2)+60985271/100294760 *7^(1/2)-65249453/50147380, a[17,8] = -8764319351457415464074152260445 3577301283208261713092881913283217670928888959308585037472017910861428 2875/10781846282759425652760538686677053172757579716342607052012514479 524090965509698427371019703919858649908*7^(1/2)+9900974736444068369033 7980271980266804805049384761137663671025615705007958733404299066784449 9204362709125/75472923979315979569323770806739372209303058014398249364 087601356668636758567888991597137927439010549356*(147+42*7^(1/2))^(1/2 )+64414592839321226625750082301922734574253435166754163020878438736803 776543793787914144146027897759293875/323455388482782769582816160600311 5951827273914902782115603754343857227289652909528211305911175957594972 4*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-2760439631387824508185 8366170497049578160222885393221598065973351952057034861942288066862514 64019064963125/2264187719379479387079713124202181166279091740431947480 92262804070005910275703666974791413782317031648068*(147-42*7^(1/2))^(1 /2)*7^(1/2)-2288693817015524977562634243938125127847450320768608667437 016943030325595522195586125055925240122707008625/107818462827594256527 6053868667705317275757971634260705201251447952409096550969842737101970 3919858649908+17249096557317929067939149322902743250435633267862713744 3232961973787960343477279261509883878308291523875/22641877193794793870 7971312420218116627909174043194748092262804070005910275703666974791413 782317031648068*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+ 3857585415236055279657264348670579574630598193682226359036328648895591 53181428661490500720743800033453375/7547292397931597956932377080673937 2209303058014398249364087601356668636758567888991597137927439010549356 *(147+42*7^(1/2))^(1/2)*7^(1/2)-10381315629299485559789722574117529763 87852222208288569755855467228098781565361363808920121770986095224625/3 2345538848278276958281616060031159518272739149027821156037543438572272 896529095282113059111759575949724*(147-42*7^(1/2))^(1/2)+1020900502788 3352517972275816107814940156045017135077881729172726480317521885083277 053940359189666809375/139624909361734562203248975992467838587210657326 6367613235620625098369780033505946344547051657621695163086*(147+42*7^( 1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3278501104249116210862503049 2466901823537881702808776361346436852379622210035632071987183343044572 5411125/27924981872346912440649795198493567717442131465327352264712412 50196739560067011892689094103315243390326172*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)-12384455199249124698480359113247465717627824628151486044451401298 5013035930451066632518108778226813173375/39892831246209874915213993140 7050967392030449504676460924463035742391365723858841812727729045034770 046596*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*( 147+42*7^(1/2))^(1/2))^(1/2)+89899746249221595463506869461151409912332 32713566083183444064332943290688056213051013294130202622375125/4654163 6453911520734416325330822612862403552442212253774520687503278992667783 5315448182350552540565054362*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)-506507182258081045538553666318905558463121834734677623714293132898 705620110992944068637426654661486748375/125662418425561105982924078393 2210547284895915939730851912058562588532802030155351710092346491859525 6467774*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+44207631653996784 2248962045874092748309654146566174028073308324942178515106321676544854 014950099896972875/175927385795785548376093709750509476619885428231562 319267688198762394592284221749239412928508860333590548836*(147+42*7^(1 /2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+16632171807322 9703531871109776970287115793737334314162133591524248415846129083691768 131049898143601402875/175927385795785548376093709750509476619885428231 562319267688198762394592284221749239412928508860333590548836*(147+42*7 ^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2) *7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-191 1137060744190645351405208293153889155283091745675698271733393938422804 54276891501662253277984198657125/1256624184255611059829240783932210547 2848959159397308519120585625885328020301553517100923464918595256467774 *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[13,8] = -3333 0652109591854257665618128990884825859360368789757365597014347809235462 742961690338766373549932832729375/226493438463451812846840845236607846 913039074179734516839160397660584331958290299235368775414615645627638* 7^(1/2)-78973158967156413086269165673045694212680671641870211772521936 086037310066172304671166070597346412322414375/226493438463451812846840 8452366078469130390741797345168391603976605843319582902992353687754146 15645627638+1068473253803194017776391536062802213419732123129067510648 8510848189454416453587103145734535424972441614375/52848468974805422997 5961972218751642797091173086047205958040927874696774569344031549193809 300769839797822*(147+42*7^(1/2))^(1/2)+5195839288509900767672938515743 2200724323181712706648775468290013509965178758737430557042147397782730 49375/5284846897480542299759619722187516427970911730860472059580409278 74696774569344031549193809300769839797822*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+2922199307100985419744645490355114148431420945384196184111009801432 004873220580125687906126613151403839375/528484689748054229975961972218 7516427970911730860472059580409278746967745693440315491938093007698397 97822*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-520068844213387874 3353316037343209843118230463728324609401828559165022339665790813358507 0151731894648185625/15854540692441626899278859166562549283912735192581 41617874122783624090323708032094647581427902309519393466*(147-42*7^(1/ 2))^(1/2)*7^(1/2)-1991535128004594839176702156560610225412939858908845 4159195626928657755446630847035557822384021729235721875/22649343846345 1812846840845236607846913039074179734516839160397660584331958290299235 368775414615645627638*(147-42*7^(1/2))^(1/2)+2244004213803633539710846 9682183914844572400345330513229840314172868429548990731092125993717697 949381689375/110981784847091388294952014165937844987389146348069913251 18859485368632265956224662533069995316166635754262*(147+42*7^(1/2))^(1 /2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+11774704701489419023827287162644757 7998903836647836490620904199399026801345971417857794591601867522888250 0/29330900281017009763665889458140716175238560106275619930671271497045 670988598593750980256416192726108779121*(147+42*7^(1/2))^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)-1950594647022740724994118670253906478979206963979537258 4443474511413695128011346217864225960708529204079375/87992700843051029 2909976683744221485257156803188268597920138144911370129657957812529407 69248578178326337363*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1553191271466882351 5262768330328367652681241550425421619918415000056837169200531976058714 800680713939118125/251407716694431512259993338212634710073473372339505 31369146804140324860847370223215125934071022336664667818*(81872+30130* 7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2 ))^(1/2)+7732922233477238177935845343122365418888890108070676599752354 77039318089502880963159912645128899565931875/5866180056203401952733177 8916281432350477120212551239861342542994091341977197187501960512832385 452217558242*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848* (147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+8495 1278752823003645638842450715073713078275761509143503803446174985934666 48765089946941014616224675319375/1231897811802714410073967357241910079 3600195244635760370881934028759181815211409375411707694800944965687230 82*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^( 1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2) -748434790089694151069999033495657263706521054400078493989780203987707 2602646490649819626562844055109253125/17598540168610205858199533674884 4297051431360637653719584027628982274025931591562505881538497156356652 674726*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-3385061154 5875700597689072506270540659338942757265665214793239898096911534176143 3344941265789439868651875/30342310635534837686550920129111085698522648 38580236544552200499694379757441233836308302387882006149184047*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+16420587943877497793335616434499 5662149010621805896959694549229406107153765074029540371739817662944602 1250/61594890590135720503698367862095503968000976223178801854409670143 7959090760570468770585384740047248284361541*(147+42*7^(1/2))^(1/2)*7^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[17,7] = 404390134 2383228308395039687453073147370883/93838689912146079439871319045337229 84847935*7^(1/2)-2144578900721400402377081449804436920936027/225212855 78915059065569116570880935163635044*(147+42*7^(1/2))^(1/2)-15041667772 12807179168230733174012709363/1915354510526381560224811877292201804751 00*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+198245491793110949623 6403920729272449019/38307090210527631204496237545844036095020*(147-42* 7^(1/2))^(1/2)*7^(1/2)+539559928653014942135812451372130333907389803/3 75354759648584317759485276181348919393917400-6252634681623844691650299 79874221400621/191535451052638156022481187729220180475100*(147+42*7^(1 /2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-3531335921442922222363053296 16669724740493991/7882449952620270672949190799808327307272265400*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+30001499987379172340172286656447860934981/19 1535451052638156022481187729220180475100*(147-42*7^(1/2))^(1/2)+692505 53017293697263697480024938743986/5458760355000187446640713850282775143 54035*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-67836728243 18873139551111184473062279767/3639173570000124964427142566855183429026 900*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)-315397589167271582824605083423521320 4863/519881938571446423489591795265026204146700*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+ 309501006544629622964331504603433099703/109175207100003748932814277005 6555028708070*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-12790055199 97879453153458968959488192001/1819586785000062482213571283427591714513 450*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+114548917262290483419 6531778637598013911/25474214990000874750989997967986284003188300*(147+ 42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^( 1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+8130356 490281433441189837023011502833/519881938571446423489591795265026204146 700*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-211264978667486760246953350172590563638/90979339250003124110 6785641713795857256725*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2), a[17,9] = 188315637603819638150391103972700383/2806027733743544 127904130026504272*7^(1/2)-76456943114158903845847909693650133/7015069 334358860319760325066260680*(147+42*7^(1/2))^(1/2)-4902733243012764226 27128135722784019/294632912043072133429933652782948560*(147+42*7^(1/2) )^(1/2)*(147-42*7^(1/2))^(1/2)+2986886169169898547643753775455722451/2 94632912043072133429933652782948560*(147-42*7^(1/2))^(1/2)*7^(1/2)+309 588054946937600539921291753836571/1753767333589715079940081266565170-9 312339288521768766760415423296157/14731645602153606671496682639147428* (147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-2051758072960263 79539671651497061293/49105485340512022238322275463824760*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+1126000531352093678483969696927760379/42090416006153 161918561950397564080*(147-42*7^(1/2))^(1/2)-6409665123082146215715728 894484241/1178531648172288533719734611131794240*(147+42*7^(1/2))^(1/2) *7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298 *(147+42*7^(1/2))^(1/2))^(1/2)+14715690305986846821871468007695513/168 361664024612647674247801590256320*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+388763 40238064402546057790486410833/168361664024612647674247801590256320*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)-16837302320018628200187223424362681/117853164817228 8533719734611131794240*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+10 6203200290573611973889280123603359/35355949445168656011592038333953827 20*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-2208536653725465208818 968593451983/1178531648172288533719734611131794240*(147+42*7^(1/2))^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-581797757149744245870 3687801410809/8249721537206019736038142277922559680*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+400589828145 03612334272189908895443/3535594944516865601159203833395382720*7^(1/2)* (81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42* 7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[12,1] = 11306485259801 5269323324654681097/2301716422883186776204562746525-602056716597009283 70046964683616/261014642354953380421597415455935*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(147-42*7^(1/2))^(1/2)+1429089476656159257236395481939996/14 5008134641640766900887453031075*(147-42*7^(1/2))^(1/2)-224681834794872 74027241517444025731/36542049929693473259023638163830900*(147+42*7^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2)+718167250498730460038390808682397/193 344179522187689201183270708100*(147-42*7^(1/2))^(1/2)*7^(1/2)-71053934 4607465011104404413394501/248585373671384171830092776624700*(147+42*7^ (1/2))^(1/2)-575318781936872721594709040437838/43502440392492230070266 2359093225*(147+42*7^(1/2))^(1/2)*7^(1/2)+3877109435524240876068434239 374893/193344179522187689201183270708100*7^(1/2)-748924237576035574863 8662729847/1480083029445712655264230555075800*(147+42*7^(1/2))^(1/2)*( 81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)+107729668392273112711204852421059/306588627528040 4785904477578371300*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+88531495559579359035 788784177901/1021962091760134928634825859457100*(81872+30130*7^(1/2)+1 848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)- 7980649584304093548921627520409/3453527068706662862283204628510200*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-24239599865650116781 49323499583569/2704111694797317021167749224123486600*(147+42*7^(1/2))^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+8105732029202158164 14985359399399/150228427488739834509319401340193700*7^(1/2)*(81872+301 30*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^( 1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+230884447487826149133191476698217/1 6095902945222125125998507286449325*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-301486904191776681651429743100161/90137056493243900705591640 8041162200*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2), a[11,9] = 43674167047421382343853974703313262559/272 182397158770721277842629971585246160*(147+42*7^(1/2))^(1/2)-1648219300 76349475718496618018738391267/90727465719590240425947543323861748720-1 019854636360899785613515578352301593/381055356022279009788979681960219 344624*(147+42*7^(1/2))^(1/2)*7^(1/2)-18449416379421421945549139397789 349507/90727465719590240425947543323861748720*7^(1/2)+5184981466459186 8639934387360561015121/635092260037131682981632803267032241040*(147-42 *7^(1/2))^(1/2)*7^(1/2)+26408607824887962464219447679995631527/9072746 5719590240425947543323861748720*(147-42*7^(1/2))^(1/2)-139883099709090 60144320936796534579043/635092260037131682981632803267032241040*(147+4 2*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-189755644368651374222715866025 32770363/4445645820259921780871429622869225687280*(147+42*7^(1/2))^(1/ 2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-763661729216987298207767665084810349 /762110712044558019577959363920438689248*7^(1/2)*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) +9449923063439468435029061294071819/1877119980405315319157535379114381 0080*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)+1299720036825390282724368675803728463/11431 660680668370293669390458806580338720*(147+42*7^(1/2))^(1/2)*7^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)-1708872736425106175519556377987043811/114316606806 68370293669390458806580338720*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)-5685169398024589299609536125739993/889129164051984356174285924573 8451374560*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2)+459876492140483870800791251073190307/381055356022279009788979 6819602193446240*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1 /2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+ 484979039951718773153469476659999289/381055356022279009788979681960219 3446240*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-96856518248001844 287373540806798383/8891291640519843561742859245738451374560*(147+42*7^ (1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)* 7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[1 2,9] = -9498732829925792146099807115820629/816157651088842474875162473 082960*(147+42*7^(1/2))^(1/2)+2343061758021957196009469354068817/12954 883350616547220240674175920-639722454357118804344978916679953/16323153 0217768494975032494616592*(147+42*7^(1/2))^(1/2)*7^(1/2)+8464629685945 66076584796431129139/12954883350616547220240674175920*7^(1/2)+10793661 660552818460957956436836393/816157651088842474875162473082960*(147-42* 7^(1/2))^(1/2)*7^(1/2)+3168958603011575888006839317688347/906841834543 15830541684719231440*(147-42*7^(1/2))^(1/2)-53208735209122036461634766 73427339/2448472953266527424625487419248880*(147+42*7^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2)-2018072192179788459102970532003279/244847295326652 7424625487419248880*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1 /2)-847590988231782551488083324745/139912740186658709978599281099936*( 147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-142603770013493289 92052129298201/979389181306610969850194967699552*(147+42*7^(1/2))^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)+18748740954165629228976352924831/7772930010369 9283321444045055520*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1717083751243706586626024640 9533/181368366908631661083369438462880*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+1 0500300639161790683679540194971/699563700933293549892996405499680*7^(1 /2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147 +42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+391003721618921222866 82046969551/979389181306610969850194967699552*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)-6379975877854660443865768473511/68557242691462767 88951364773896864*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) *(147-42*7^(1/2))^(1/2)-17111311415275680783742391174921/6855724269146 276788951364773896864*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848 *(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2), a[14,1] = -82702590360406913700772149884505347462 93617228873/1080266692045515636853658419769050466750361594450*(147+42* 7^(1/2))^(1/2)-9584982663585012177145754418857932522197542368871/21605 33384091031273707316839538100933500723188900*(147+42*7^(1/2))^(1/2)*7^ (1/2)+327092625517102605299935902538819504565314667429/514412710497864 5889779325808424049841668388545*7^(1/2)+245956832848336252778724074822 1589805682823966699/17147090349928819632597752694746832805561295150+29 91085618948504666605818488635151358100353/1127203208194075293249509338 73198247042225*(147-42*7^(1/2))^(1/2)+31417865388019433956420617845269 831541971757/3156168982943410821098626148449550917182300*(147-42*7^(1/ 2))^(1/2)*7^(1/2)-3933524681478410789453010851961100940548531/23671267 37207558115823969611337163187886725*(147+42*7^(1/2))^(1/2)*(147-42*7^( 1/2))^(1/2)-40810206913128570841279324367964792729697669/6627954864181 1627243071149117440569260828300*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42 *7^(1/2))^(1/2)-2254554158453114723216721038037946375106257/3002869346 62901658121669287838200130120487400*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81 872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^( 1/2))^(1/2))^(1/2)-27604188994438017026705535611684717713887409/210200 8542640311606851685014867400910843411800*(147+42*7^(1/2))^(1/2)*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)+24581212673064914602903465297128822534350939/100095644 887633886040556429279400043373495800*(81872+30130*7^(1/2)+1848*(147+42 *7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+21639151888 92815501443376971204578758983087/2001912897752677720811128585588000867 4699160*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-50768830125024770047494086712229 21506879343/2102008542640311606851685014867400910843411800*(147+42*7^( 1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+1004422106429 6510407962781337245505346504257/70066951421343720228389500495580030361 4470600*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+538148614 4350887480539492724737125694666743/14013390284268744045677900099116006 0722894120*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-12992753463945 273687832886568128588835988393/147140597984821812479617951040718063759 03882600*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147 +42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42* 7^(1/2))^(1/2), a[11,1] = 12254269034807874155163817098130103/34586340 2186231788883244967628131740*(147-42*7^(1/2))^(1/2)*7^(1/2)+7249213408 0550270753472172812120493/2579152799160185625672198187169782404*(147+4 2*7^(1/2))^(1/2)*7^(1/2)+5039904819574000064469612903651823501/6447881 9979004640641804954679244560100-1436914119827665003961451289151086849/ 1354055219559097453477904048264135762100*(147+42*7^(1/2))^(1/2)*(147-4 2*7^(1/2))^(1/2)-125571300334149436881596630721928921289/4513517398530 32484492634682754711920700*7^(1/2)-14286675388009664365771783052185245 371/451351739853032484492634682754711920700*(147+42*7^(1/2))^(1/2)-276 62494438295342771871355958014534651/9478386536913682174345328337848950 334700*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+238554139 2482560104722834281364348449/50150193317003609388070520306079102300*(1 47-42*7^(1/2))^(1/2)-591818245021487475280014676663848013/715714901766 9515111240349969396146171100*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+18208835369636227794410606483227919981/350700301865806240450777148 500411162383900*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-3 9560370431559469855453802592481454279/10020008624737321155736489957154 6046395400*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^ (1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+45071347224964856824764050004 09880603/14314298035339030222480699938792292342200*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)+1863828584843342843486552237151202711/10521009055974187213523314455 01233487151700*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+4 2*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^ (1/2))^(1/2)+514073790831815687206491498260619553/11133342916374801284 151655507949560710600*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)+431424240030355878737496438748865701/1113334291637480128415165550 7949560710600*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-11725655784 57734395309702862038230749/263025226399354680338082861375308371787925* (147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2), a[12,7] = -345878185669306980145299984347883814079/504040660664 8372526907399677084741591450*(147+42*7^(1/2))^(1/2)-984160125609004050 24964627696597035337/21169707747923164613011078643755914684090*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-11758736772135001171837 04218920258635197/105848538739615823065055393218779573420450*(147+42*7 ^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+114638814063720355670625126120252 8742673/15121219819945117580722199031254224774350*(147-42*7^(1/2))^(1/ 2)*7^(1/2)+3952209319425366313358686448641420361589/504040660664837252 6907399677084741591450*7^(1/2)-269687435965884859417444767096607365529 /5040406606648372526907399677084741591450*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+2872779058468639347983457302270191606217/15121219819945117580722199 031254224774350*(147-42*7^(1/2))^(1/2)+8541695582176914901619454842277 54706347/720058086664053218129628525297820227350+608540573059068872298 3983900956716859/17641423123269303844175898869796595570075*(147+42*7^( 1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-9195166169288373416570172102 82512151/720058086664053218129628525297820227350*(81872+30130*7^(1/2)+ 1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2) -2720559467525917891396037027108987863/7200580866640532181296285252978 20227350*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1594999039118302387137234890553 83841/720058086664053218129628525297820227350*(147+42*7^(1/2))^(1/2)*( 81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7 ^(1/2))^(1/2))^(1/2)+482006801318541424089740849773733452/756060990997 2558790361099515627112387175*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)-33304183546108113030610597883976769609/1058 48538739615823065055393218779573420450*7^(1/2)*(81872+30130*7^(1/2)+18 48*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*( 147-42*7^(1/2))^(1/2)-7202796953006527421411087284086856933/7560609909 972558790361099515627112387175*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^ (1/2)+648132003164934234627415237800780667/352828462465386076883517977 39593191140150*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2), a[11,6] = 33402909935900944780900161173875000348 87055444070308031529/1315623483678037064030252646781224826573467932744 59368602160*7^(1/2)-78260020724024495921312549325932094622626000466056 499807213/381530810266630748568773267566555199706305700495932168946264 0-3768906662423763861908636085757214679534755564205627068111297/721093 231403932114794981475700789327444917773937311799308438960*(147+42*7^(1 /2))^(1/2)+22122401400839834777193415207560643980176640960630616312350 19/721093231403932114794981475700789327444917773937311799308438960*(14 7+42*7^(1/2))^(1/2)*7^(1/2)-242719471714154343321216388382823981483391 23572965279828849/8012147015599245719944238618897659193832419710414575 5478715440*(147-42*7^(1/2))^(1/2)*7^(1/2)+8596406952264981541043327221 843496257606340690265447190075/228918486159978449141263960539933119823 7834202975593013677584*(147-42*7^(1/2))^(1/2)+729971595674290780346071 483119842718017015961071035936132301/168255087327584160118829010996850 8430704808139187060865053024240*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2) )^(1/2)-22455121791900021229928143695139915755754438465942124627989/24 0364410467977371598327158566929775814972591312437266436146320*(147+42* 7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+352636561771782607896012 73065237477166579421315460438660331/4326559388423592688769888854204735 964669506643623870795850633760*(147+42*7^(1/2))^(1/2)*(81872+30130*7^( 1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^ (1/2)-213951325809058496786320919975472322236267435161081058656321/302 85915718965148821389221979433151752686546505367095570954436320*(147+42 *7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/ 2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+163959971117890238012885 86352347036554472253395772093890853/2289184861599784491412639605399331 1982378342029755930136775840*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1100761696044508818 4367587885672305449243592058983595842215/32048588062396982879776954475 590636775329678841658302191486176*7^(1/2)*(81872+30130*7^(1/2)+1848*(1 47+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+294242 76367711307915003438854670417087705174960169715517/1009530523965504960 7129740659811050584228848835122365190318145440*(147+42*7^(1/2))^(1/2)* 7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298* (147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-20994836488680770 6223468600104708221074451913020941775579/14421864628078642295899629514 01578654889835547874623598616877920*(147+42*7^(1/2))^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)+594336042142478350736553304321973867 72717495759814907464557/3365101746551683202376580219937016861409616278 374121730106048480*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^ (1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2 )-21297548567935285668491028022841950018062218318617463478103/48072882 0935954743196654317133859551629945182624874532872292640*(81872+30130*7 ^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2) )^(1/2)*(147-42*7^(1/2))^(1/2), a[13,1] = 2920805792445908050615919820 662165843074915123/31429975118810799257272498950648525502252080-143083 00931575474180899622826868877/29289643085409481248228908443959480*(147 +42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+27432456043725787733 3595058876735759/13482534118680554860295846744044840*(147-42*7^(1/2))^ (1/2)-152431772742012945231130207986709481/121342807068124993742662620 696403560*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+10490896680715 9089171330270792024281/13482534118680554860295846744044840*(147-42*7^( 1/2))^(1/2)*7^(1/2)-144311487156285014642509305911546381424934199/2357 2481339108099442954374212986394126689060*(147+42*7^(1/2))^(1/2)-122442 7442481256338305104383339514222451411209/66002947749502678440272247796 3619035547293680*(147+42*7^(1/2))^(1/2)*7^(1/2)+2997839648310812043927 960559844332173128926987/94289925356432397771817496851945576506756240* 7^(1/2)-13213614261087803603232782867714281625514113/11629090793959995 72519082461173995443583326960*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)+8692774563513802060310478634819463671043550533/146526544003895946 137404390107923425891499196960*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+359461748 9539926824041919505263996434343983757/20932363429127992305343484301131 917984499885280*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-16559152961654767963447630247185 0354443328951/48842181334631982045801463369307808630499732320*(147+42* 7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1489781004630712965397153 07051243/81278759562011310463835220931987557*(147+42*7^(1/2))^(1/2)*(8 1872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^ (1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+342132301075358958913027010 5881763/299312257434708317898567797717795448*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)*(147-42*7^(1/2))^(1/2)+6373753789993500825249988599568883/2137944 69596220227070405569798425320*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)-33917838214846405542575944889540129/47141680545966560069024428140 552783060*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(14 7+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42 *7^(1/2))^(1/2), a[17,1] = 188900136871147827929961646329659863/464849 67705801497363883689043265650600*7^(1/2)*(81872+30130*7^(1/2)+1848*(14 7+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42 *7^(1/2))^(1/2)-329094878844444334506282772339164161/48809216091091572 2320778734954289331300*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)-1183071405328663286017444547361210217/25127009570 70351208858577786122467600*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)+475356275788322691341373300967038407/167513397138023413923905185741 497840*(147-42*7^(1/2))^(1/2)*7^(1/2)+98019662724703728209793288179535 2987/30989978470534331575922459362177100400*7^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+1003971170836840799872177201483501001/9296993541160299472776737808 6531301200*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+52 98*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-97782951122223 133335253604408021933/18593987082320598945553475617306260240*(147+42*7 ^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2) +5298*(147+42*7^(1/2))^(1/2))^(1/2)+1864504093152533835278571997847081 59/2213569890752452255423032811584078600*(81872+30130*7^(1/2)+1848*(14 7+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-9087437 556226257810114337338904091/4648496770580149736388368904326565060*(147 +42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^ (1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+631641712810277013182 6063931360437263/837566985690117069619525928707489200*(147-42*7^(1/2)) ^(1/2)+151743698921186620720759049348721379/79768284351439720916145326 54357040*7^(1/2)-76250144407059289869832287545033497/23930485305431916 274843597963071120*(147+42*7^(1/2))^(1/2)-1409036486176187265172528098 05336021/119652426527159581374217989815355600*(147+42*7^(1/2))^(1/2)*7 ^(1/2)-491863996695380473055492357651617193/19523686436436628892831149 39817157325200*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+184 8*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(1 47-42*7^(1/2))^(1/2)+676904139900050832422070415489792057/132947140585 73286819357554423928400-3099321472009930476540293517557097403/17588906 699492458462010044502857273200*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42* 7^(1/2))^(1/2), a[14,6] = 29812395725893790783907783718249771395529511 895089640498464820311/120056935951284475370050165393947202283582725284 555802155935803320+671787733035765668126590849638678634173720436080148 6338539195113/58827898616129392931324581043034129118955535389432343056 40854362680*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+1559 368072306584405657258644001331725460674992222094963699791351/600284679 75642237685025082696973601141791362642277901077967901660*(147-42*7^(1/ 2))^(1/2)+249426510179393517752947484452657349726633385519017769994780 091/120056935951284475370050165393947202283582725284555802155935803320 *(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+27453614491558953656778 56845117429561785614243099060545995111649/2100996379147478318975877894 39407603996269769247972653772887655810*(147-42*7^(1/2))^(1/2)*7^(1/2)+ 235427937300023117117698644614660129947375129481547216545373175/900427 0196346335652753762404546040171268704396341685161695185249*(147+42*7^( 1/2))^(1/2)-7079004981092982260589391222939799960962011349927130016733 063543/126059782748848699138552673663644562397761861548783592263732593 4860*(147+42*7^(1/2))^(1/2)*7^(1/2)-9746490452372184859430521464764741 756005691122162408364579739139/120056935951284475370050165393947202283 582725284555802155935803320*7^(1/2)+3230404910363443815027027363701981 547533519724634079784583642271/302543478597236877932526416792746949754 6284677170806214329582243664*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)+405600913741757118530766832428634509444279742879094014841535881/72 034161570770685222030099236368321370149635170733481293561481992*7^(1/2 )*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+4 2*7^(1/2))^(1/2))^(1/2)-6556991931077340246477886957545934576226798180 063233454427941329/720341615707706852220300992363683213701496351707334 812935614819920*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-47024753644741270417841648894762 40033227399291378795713975611283/7563586964930921948313160419818673743 865711692927015535823955609160*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3 0130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2)) ^(1/2))^(1/2)-85177916531629302180599361199890619120846230695538031705 317253/168079710331798265518070231551526083197015815398378123018310124 6480*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2)) ^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/ 2)+352094029603499899998695596750887207553763246594342948826552323/252 1195654976973982771053473272891247955237230975671845274651869720*7^(1/ 2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+ 42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+5253893146925097018635 15634928947727575291749654601988575490897/7203416157077068522203009923 63683213701496351707334812935614819920*(81872+30130*7^(1/2)+1848*(147+ 42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7 ^(1/2))^(1/2)-15330396422143049181793685426538021702448113293933380088 94366/2451162442338724705471857543459755379956480641226347627350355984 45*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^ (1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2 ))^(1/2), a[17,6] = -1541704528840825252755951936156053060773191027661 5485941/442500801601793808876343571705182513548100549763064377740+4016 3635233012176760870746306365571041777172486022931481/53100096192215257 06516122860462190162577206597156772532880*7^(1/2)-23731033131474255435 885886140389787485536846581598015363/696938762522825248980241125435662 4588382583658768263949405*(147+42*7^(1/2))^(1/2)+142042265617750633900 28819905061718357377132047948954382/6969387625228252489802411254356624 588382583658768263949405*(147+42*7^(1/2))^(1/2)*7^(1/2)+36843629073407 201073438458558939925515803584905185868311/159300288576645771195483685 81386570487731619791470317598640*(147-42*7^(1/2))^(1/2)*7^(1/2)+111933 39954984942196249589974388786762749803639977651621/3186005771532915423 909673716277314097546323958294063519728*(147-42*7^(1/2))^(1/2)+6060136 4090335026314583284282206857249095962781889799435/23417142420766928365 7361018146382586169654810934613668700008*(147+42*7^(1/2))^(1/2)*7^(1/2 )*(147-42*7^(1/2))^(1/2)+971532243394161776895480705115270175422165259 22472078003/3345306060109561195105157402091179802423640156208766695714 40*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-721879411966596260664 47856530949443571405794222881958393/1338122424043824478042062960836471 920969456062483506678285760*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)-60202891544028632772889979743281919980107551326942160301/1338122424 043824478042062960836471920969456062483506678285760*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+ 5298*(147+42*7^(1/2))^(1/2))^(1/2)+87265135392625422106210886215618421 415880099581915526583/637201154306583084781934743255462819509264791658 81270394560*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)+208071217212624886727299126557580804 70451724380631438969/8920816160292163186947086405576479473129707083223 3778552384*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^ (1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+23112211329093114458368208589 3689613164005617617823944549/13381224240438244780420629608364719209694 56062483506678285760*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)* 7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+6267 1526089493088449056713162169763605245064424722980917/13381224240438244 78042062960836471920969456062483506678285760*7^(1/2)*(81872+30130*7^(1 /2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^( 1/2)*(147-42*7^(1/2))^(1/2)-538410062134446833364921721322466252309491 75630113712579/5620114180984062807776664435513182068071715462430728048 800192*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2 ))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^( 1/2)-108848478922667630295072741394223687867158931425250480131/2810057 0904920314038883322177565910340358577312153640244000960*(147+42*7^(1/2 ))^(1/2)*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1 /2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[13,6] = -33506913248583398942222188321339110646674043486831681769/135702664 6654969920806646121779037036750464998546293060721376*(147+42*7^(1/2))^ (1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(1 47+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+5092254581999507697 941471604925860946100695177566193133/215401055024598400128039066949053 49789689920611845921598752*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7 ^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/ 2))^(1/2)-21538093125000204051587660521558330034244246114874794659/226 171107775828320134441020296506172791744166424382176786896*(147+42*7^(1 /2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-4339092629342613112854018780 7727222583135278053873779158553501089063/17232011576311124246363482370 7716855193187201812959198208425744783645712*(147+42*7^(1/2))^(1/2)*7^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)+1975537765284626939562526439388521920208973 8589130419520820275246087/57440038587703747487878274569238951731062400 604319732736141914927881904*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)-2186711596770187514441959197565426000651429877707024855026310766581 177/103392069457866745478180894224630113115912321087775518925055446870 1874272*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/ 2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)+27683090978973871712514312784865 17818220484558287802023143439833019/8787359294396289773770261280352720 8155628353805690565124133475157392*(147+42*7^(1/2))^(1/2)*7^(1/2)+1180 6171536569207823789328036574237600476702361726953369/46157368933842514 31315122863194003526362125845395554628304*(147+42*7^(1/2))^(1/2)*(147- 42*7^(1/2))^(1/2)+4349296159338810678870795668121201130985044315663256 831/21540105502459840012803906694905349789689920611845921598752*(81872 +30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2 ))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+6642640680797875886240996735416 53461974647788416837645/3590017583743306668800651115817558298281653435 307653599792*(147-42*7^(1/2))^(1/2)*7^(1/2)+10131973012437103889831791 729425199910419265485126198809/512859654820472381257235873688222614040 236205043950514256*(147-42*7^(1/2))^(1/2)-1560544816445335018725514312 8519544411821575845180064951/13570266466549699208066461217790370367504 64998546293060721376*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130*7^(1/ 2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1 /2)*(147-42*7^(1/2))^(1/2)+4055746502610011340266252337078758326192447 44086982837739981869200977/7385147818419053248441492444616436651136594 3634125370660753890621562448*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2) )^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-2694989080389088649 601762561853086495945751562046156938604030264241/878735929439628977377 02612803527208155628353805690565124133475157392*(147+42*7^(1/2))^(1/2) -409912859183855637833811834610122628115228032768273279005488772931/41 84456806855376082747743466834628959791826371699550720196832150352+3512 337398008833814578460746025463708343607806913641983383598768615/125533 70420566128248243230400503886879375479115098652160590496451056*7^(1/2) , a[14,7] = 8385722549971277526726597361930111704454778168000758/63649 52076783591775856585223985448799379593181534575-2909384520781943489498 5306942372754885399563309860977/13366399361245542729298828970369442478 6971456812226075*(147+42*7^(1/2))^(1/2)*7^(1/2)+2191085566078534761820 33971947223394295613180930732/8486602769044789034475446965313931732506 1242420461*7^(1/2)-142457450743862501307465565040993397048391425158009 6/19094856230350775327569755671956346398138779544603725*(147+42*7^(1/2 ))^(1/2)+184731755938465414436486010412863271308461155182/309323617475 025114246808826553212266092219136975*(147-42*7^(1/2))^(1/2)+5395605645 24355655856955208525787799362352122807/2165265322325175799727661785872 485862645533958825*(147-42*7^(1/2))^(1/2)*7^(1/2)-42982782383103301122 072756285425552083401526578/216526532232517579972766178587248586264553 3958825*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-1567503827264621 78506100410656456765184668782343/1515685725627623059809363250110740103 8518737711775*(147+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-11 3350110572443124137433930557720904443155304411/41140041124178340194825 573931577231390265145217675*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2 )+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/ 2)+72924757946156826694019635350302858441124692909/4114004112417834019 4825573931577231390265145217675*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+ 30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2) )^(1/2))^(1/2)+58289074325376087102805474217100038910778948263/5877148 732025477170689367704511033055752163602525*(81872+30130*7^(1/2)+1848*( 147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-20017 504174176975243907764630671266021030099374/117542974640509543413787354 0902206611150432720505*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/ 2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-28533635750826064 666712762658925040274919221406/411400411241783401948255739315772313902 65145217675*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7 ^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-21860 215864178025908560601265063887591748780836/822800822483566803896511478 6315446278053029043535*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2 )*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)+11 646639387020145092464463231559941499478183293/287980287869248381363779 017521040619731856016523725*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+3013 0*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)+862311389679165967266058684612635626 0744885808/41140041124178340194825573931577231390265145217675*(147+42* 7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2 )+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2), a[11,7] = -67715051593692647367045045535241983744739/22412499203181853905374092 293278940483687006*(147+42*7^(1/2))^(1/2)*7^(1/2)+71137993897284432362 555834044224472535011/3922187360556824433440466151323814584645226050*( 147-42*7^(1/2))^(1/2)+3460597437314780625378724355287085457974621/1176 6562081670473300321398453971443753935678150*(147+42*7^(1/2))^(1/2)*(14 7-42*7^(1/2))^(1/2)+5725472433539114005956166967261819192505101/784437 472111364886688093230264762916929045210*(147-42*7^(1/2))^(1/2)*7^(1/2) +5141900080007093404563151289403719247544357/5603124800795463476343523 07331973512092175150*(147+42*7^(1/2))^(1/2)+22542020536000522011968380 241674507244725199/82365934571693313102249789177800106277549747050*(14 7+42*7^(1/2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+3576931519461399048 5152645813038448542037307/18677082669318211587811743577732450403072505 0-92461387687468017136959349925495600536969183/13073957868522748111468 22050441271528215075350*7^(1/2)+32237322262529058075988245172650101006 7941/5883281040835236650160699226985721876967839075*(147+42*7^(1/2))^( 1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(14 7+42*7^(1/2))^(1/2))^(1/2)-1939998899027918593229981107601952974117087 /82365934571693313102249789177800106277549747050*(147+42*7^(1/2))^(1/2 )*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+529 8*(147+42*7^(1/2))^(1/2))^(1/2)+21930820854036187856941911479316949944 58373/3922187360556824433440466151323814584645226050*7^(1/2)*(81872+30 130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^ (1/2))^(1/2)-419785535353100013580641068503214695619693/28015624003977 3173817176153665986756046087575*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)-1889555295798553 80166340420303935035731026/5883281040835236650160699226985721876967839 075*7^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5 298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-9573285370256 17438960555809657491671236217/2470978037150799393067493675334003188326 49241150*(147+42*7^(1/2))^(1/2)*(81872+30130*7^(1/2)+1848*(147+42*7^(1 /2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2))^(1/2)*(147-42*7^(1/2)) ^(1/2)+70148289915658528729785400813082421150941/352996862450114199009 64195361914331261807034450*(147+42*7^(1/2))^(1/2)*7^(1/2)*(81872+30130 *7^(1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/ 2))^(1/2)*(147-42*7^(1/2))^(1/2)+1021212053028002718859070029216136075 025541/11766562081670473300321398453971443753935678150*(81872+30130*7^ (1/2)+1848*(147+42*7^(1/2))^(1/2)*7^(1/2)+5298*(147+42*7^(1/2))^(1/2)) ^(1/2)*(147-42*7^(1/2))^(1/2), a[13,10] = 197765/2548056*(147+42*7^(1/ 2))^(1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)-246223/364008*(147-42*7^(1/2) )^(1/2)-10097/364008*(147+42*7^(1/2))^(1/2)*(147-42*7^(1/2))^(1/2)-210 4895/2548056*(147-42*7^(1/2))^(1/2)*7^(1/2)+172929/121336*(147+42*7^(1 /2))^(1/2)-3729/4184*(147+42*7^(1/2))^(1/2)*7^(1/2)-767899/121336+8704 51/121336*7^(1/2), a[14,10] = -152603238/1582668605*(147+42*7^(1/2))^( 1/2)*7^(1/2)*(147-42*7^(1/2))^(1/2)+1255506211/3798404652*(147+42*7^(1 /2))^(1/2)*(147-42*7^(1/2))^(1/2)+801054349/1899202326*(147-42*7^(1/2) )^(1/2)*7^(1/2)+29244496043/904382060+5560588343/3165337210*(147+42*7^ (1/2))^(1/2)*7^(1/2)-2323491656/226095515*7^(1/2)-6528222031/271314618 0*(147-42*7^(1/2))^(1/2)-4586184623/904382060*(147+42*7^(1/2))^(1/2)\} :" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 93 "We can obtain an embedded 17 stage order 8 scheme by ch anging the values of the two weights " }{XPPEDIT 18 0 "b[2]" "6#&%\"b G6#\"\"#" }{TEXT -1 7 " and " }{XPPEDIT 18 0 "b[16]" "6#&%\"bG6#\"#; " }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 35 "In detail we introduc e new weights " }{XPPEDIT 18 0 "`b*`[i]" "6#&%#b*G6#%\"iG" }{TEXT -1 9 " where " }{XPPEDIT 18 0 "`b*`[i]=b[i]" "6#/&%#b*G6#%\"iG&%\"bG6#F '" }{TEXT -1 7 " for " }{XPPEDIT 18 0 "i<>2" "6#0%\"iG\"\"#" }{TEXT -1 7 " and " }{XPPEDIT 18 0 "i<>16" "6#0%\"iG\"#;" }{TEXT -1 1 "." } }{PARA 0 "" 0 "" {TEXT -1 13 "Then we set " }{XPPEDIT 18 0 "`b*`[2]=1 /45" "6#/&%#b*G6#\"\"#*&\"\"\"F)\"#X!\"\"" }{TEXT -1 7 " and " } {XPPEDIT 18 0 "`b*`[16]=-1/45" "6#/&%#b*G6#\"#;,$*&\"\"\"F*\"#X!\"\"F, " }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 128 "e20 := `union`(remove(u_->op(0,lhs(u_))=b,e19 ),\n \{`b*`[2]=1/45,`b*`[16]=-1/45,seq(`b*`[i]=subs(e19,b[i]),i=[1 ,$3..15,17])\}):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "subs(e20,`b*`[16]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##!\"\"\"#X" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "`RK8_17*` := subs(b=`b*`,OrderCondi tions(8,17,'expanded')):\nnops(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# \"$+#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 50 "We can check the order conditions (approximately)." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 138 "Digits := 100:\ne20ev := evalf(e20):\nsubs (e20ev,`RK8_17*`):\nmap(u_->`if`(abs(lhs(u_)-rhs(u_))<10^(5-Digits),0, 1),%);\nnops(%);\nDigits := 10:" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7dw \"\"!F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F $F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"$+#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 64 "We can calculate the principal error norm of the \+ order 8 scheme." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "`errterms 8_17*` := subs(b=`b*`,PrincipalErrorTerms(8,17,'expanded')):\nnops(%); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"$'G" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 173 "Digits := 30:\ne2 0ev := evalf(e20):\nsm := 0:\nfor ct to nops(`errterms8_17*`) do\n s m := sm+(subs(e20ev,`errterms8_17*`[ct]))^2;\nend do:\nsqrt(sm):\neval f[10](%);\nDigits := 10:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+F!RA1# !#:" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 63 "T he scheme satisfies 266 of the 286 principal error conditions." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 169 "Digits := 30:\ne20ev := eva lf(e20):\nsubs(e20ev,[seq(`errterms8_17*`[i],i=1..286)]):\nmap(u_->`if `(abs(u_)<10^(5-Digits),0,1),%);\nListTools[Occurrences](0,%);\nDigits := 10:" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7j\\l\"\"\"F$F$F$\"\"!F%F%F $F%F%F%F%F%F$F$F%F%F$F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F %F%F%F$F$F$F%F%F%F$F$F%F%F%F%F%F%F%F%F%F%F%F%F$F$F%F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F%F%F%F%F%F$F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F$F%F%F%F$F%F %F%F%F%F%F%F%F%F$F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F$F%F%F%F%F%F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#\"$m#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "`errterms9_17*` := subs (b=`b*`,PrincipalErrorTerms(9,17,'expanded')):\nnops(%);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#\"$>(" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 68 "It even satisfies 611 of the 719 order 9 princi pal error conditions." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 233 "Di gits := 30:\ne20ev := evalf(e20): ind := []:\nfor ii to nops(`errterms 9_17*`) do\n val := subs(e20ev,`errterms9_17*`[ii]):\n ind := [op( ind),`if`(abs(val)<10^(5-Digits),0,1)];\nend do:\nind;\nListTools[Occu rrences](0,%);\nDigits := 10:" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7[hm \"\"\"F$F$F$F$F$F$F$F$F$\"\"!F%F%F%F%F%F%F$F$F$F%F$F$F$F$F$F$F$F$F$F$F $F$F$F%F%F$F%F%F$F$F%F%F$F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F$F$F$F$F$F$F$F$F$F$F$F$F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F $F$F$F$F$F$F%F%F%F%F%F%F%F%F%F$F%F%F%F%F%F%F%F$F$F$F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F$F$F$F$F$F$F$F $F$F$F%F$F$F$F%F$F%F%F$F%F%F%F$F$F%F$F$F%F%F%F$F$F%F%F%F%F%F%F%F%F%F%F %F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F%F 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