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InvariantsGenerateDO.txt
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InvariantsGenerateDO.txt
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DOF[1] = 20/9*I3 + 1/9*I3' - 1/36*I3''
DOF[2] = 1/23328*(80*I3 - 2*I3' - I3'')*(8*I3 + I3' - I3'')
DOF[3] = 100554752/27*I3^3 + 1679104/3*I3^2*I3' + 139072/9*I3*I3'^2 + 2056/27*I3'^3 - 3529984/9*I3^2*I3'' - 86144/3*I3*I3'*I3'' - 872/9*I3'^2*I3'' + 100736/9*I3*I3''^2 + 328/3*I3'*I3''^2 - 1096/27*I3''^3 - 22528/3*I3^2 - 11264/9*I3*I3' - 704/9*I3'^2 - 11264/9*I3*I3'' - 1408/9*I3'*I3'' + 704/9*I3''^2 - 7744*I3*I6 - 56/3*I3'*I6 + 40*I3''*I6 - 176/9*I3' + 176/9*I3'' - 704/9*I6
DOF[4] = 160563200*I3^3 + 24084480*I3^2*I3' + 542720*I3*I3'^2 - 4096*I3'^3 - 19251200*I3^2*I3'' - 1259520*I3*I3'*I3'' - 5120*I3'^2*I3'' + 557568*I3*I3''^2 + 17408*I3'*I3''^2 - 7040*I3''^3 - 296960*I3*I6 - 4096*I3'*I6 + 7168*I3''*I6
DOF[5] = 11239424000/729*I3^4 + 2247884800/729*I3^3*I3' + 38563840/243*I3^2*I3'^2 + 1325056/729*I3*I3'^3 + 4352/729*I3'^4 - 1619968000/729*I3^3*I3'' - 66713600/243*I3^2*I3'*I3'' - 2152960/243*I3*I3'^2*I3'' - 87296/729*I3'^3*I3'' + 25584640/243*I3^2*I3''^2 + 2173696/243*I3*I3'*I3''^2 + 55792/243*I3'^2*I3''^2 - 1827904/729*I3*I3''^3 - 106472/729*I3'*I3''^3 + 22040/729*I3''^4 - 409600/9*I3^2*I6 - 10240/3*I3*I3'*I6 - 512/9*I3'^2*I6 + 2560*I3*I3''*I6 + 1280/9*I3'*I3''*I6 - 176/3*I3''^2*I6 + 256/9*I6^2
DOF[6] = 256901120000/3*I3^4 + 51380224000/3*I3^3*I3' + 2657484800/3*I3^2*I3'^2 + 8683520*I3*I3'^3 + 28672/3*I3'^4 - 12255232000*I3^3*I3'' - 4351590400/3*I3^2*I3'*I3'' - 30941184*I3*I3'^2*I3'' - 438272/3*I3'^3*I3'' + 1604681728/3*I3^2*I3''^2 + 82853888/3*I3*I3'*I3''^2 + 754688/3*I3'^2*I3''^2 - 20879360/3*I3*I3''^3 - 330752/3*I3'*I3''^3 + 27136/3*I3''^4 - 573440000/3*I3^2*I6 - 30703616/3*I3*I3'*I6 - 204800/3*I3'^2*I6 + 24141824/3*I3*I3''*I6 + 520192/3*I3'*I3''*I6 - 140288/3*I3''^2*I6 + 36864*I6^2
DOF[7] = 89915392000000/729*I3^5 + 22478848000000/729*I3^4*I3' + 1752432640000/729*I3^3*I3'^2 + 47144960000/729*I3^2*I3'^3 + 473600000/729*I3*I3'^4 + 1280000/729*I3'^5 - 15528755200000/729*I3^4*I3'' - 2695086080000/729*I3^3*I3'*I3'' - 43644108800/243*I3^2*I3'^2*I3'' - 2139392000/729*I3*I3'^3*I3'' - 7277056/729*I3'^4*I3'' + 973633945600/729*I3^3*I3''^2 + 35778560000/243*I3^2*I3'*I3''^2 + 993983488/243*I3*I3'^2*I3''^2 + 13368320/729*I3'^3*I3''^2 - 27062816768/729*I3^2*I3''^3 - 1643793920/729*I3*I3'*I3''^3 - 10580096/729*I3'^2*I3''^3 + 313203200/729*I3*I3''^4 + 3639040/729*I3'*I3''^4 - 430208/729*I3''^5 - 33587200000/81*I3^3*I6 - 1247641600/27*I3^2*I3'*I6 - 1024000*I3*I3'^2*I6 - 315392/81*I3'^3*I6 + 868352000/27*I3^2*I3''*I6 + 51656704/27*I3*I3'*I3''*I6 + 97280/9*I3'^2*I3''*I6 - 19446784/27*I3*I3''^2*I6 - 185344/27*I3'*I3''^2*I6 + 89216/81*I3''^3*I6 + 299008*I3*I6^2 + 2048*I3'*I6^2 - 512*I3''*I6^2
DOF[8] = 9943923032064000*I3^5 + 2485980758016000*I3^4*I3' + 172496624025600*I3^3*I3'^2 + 1789290086400*I3^2*I3'^3 - 49545216000*I3*I3'^4 - 707788800*I3'^5 - 2143524225024000*I3^4*I3'' - 342954816307200*I3^3*I3'*I3'' - 10372220190720*I3^2*I3'^2*I3'' + 89889177600*I3*I3'^3*I3'' + 4621860864*I3'^4*I3'' + 155550461460480*I3^3*I3''^2 + 13215832473600*I3^2*I3'*I3''^2 + 59581661184*I3*I3'^2*I3''^2 - 9838264320*I3'^3*I3''^2 - 4578374320128*I3^2*I3''^3 - 156952166400*I3*I3'*I3''^3 + 8877441024*I3'^2*I3''^3 + 57790955520*I3*I3''^4 - 3379691520*I3'*I3''^4 + 426442752*I3''^5 - 25820135424000*I3^3*I6 - 2629576949760*I3^2*I3'*I6 + 25480396800*I3*I3'^2*I6 + 1868562432*I3'^3*I6 + 2853804441600*I3^2*I3''*I6 + 35927359488*I3*I3'*I3''*I6 - 4459069440*I3'^2*I3''*I6 - 48030547968*I3*I3''^2*I6 + 2930245632*I3'*I3''^2*I6 - 483065856*I3''^3*I6 + 8663334912*I3*I6^2 - 254803968*I3'*I6^2 + 63700992*I3''*I6^2
DOF[9] = 10070523904000000/2187*I3^6 + 1007052390400000/729*I3^5*I3' + 103017349120000/729*I3^4*I3'^2 + 12729450496000/2187*I3^3*I3'^3 + 71878246400/729*I3^2*I3'^4 + 480051200/729*I3*I3'^5 + 3174400/2187*I3'^6 - 236349030400000/243*I3^5*I3'' - 158507991040000/729*I3^4*I3'*I3'' - 3737806438400/243*I3^3*I3'^2*I3'' - 10979246080/27*I3^2*I3'^3*I3'' - 2618949632/729*I3*I3'^4*I3'' - 346112/27*I3'^5*I3'' + 57931779276800/729*I3^4*I3''^2 + 1013944156160/81*I3^3*I3'*I3''^2 + 46703624192/81*I3^2*I3'^2*I3''^2 + 6207655936/729*I3*I3'^3*I3''^2 + 12923648/243*I3'^4*I3''^2 - 6986829660160/2187*I3^3*I3''^3 - 243368787968/729*I3^2*I3'*I3''^3 - 6659213312/729*I3*I3'^2*I3''^3 - 208900352/2187*I3'^3*I3''^3 + 16425832448/243*I3^2*I3''^4 + 3194937344/729*I3*I3'*I3''^4 + 19752896/243*I3'^2*I3''^4 - 559940608/729*I3*I3''^5 - 2633600/81*I3'*I3''^5 + 10779328/2187*I3''^6 - 14129561600000/729*I3^4*I6 - 2270730649600/729*I3^3*I3'*I6 - 29447618560/243*I3^2*I3'^2*I6 - 921174016/729*I3*I3'^3*I6 - 3878912/729*I3'^4*I6 + 1635155968000/729*I3^3*I3''*I6 + 53464432640/243*I3^2*I3'*I3''*I6 + 1211170816/243*I3*I3'^2*I3''*I6 + 29290496/729*I3'^3*I3''*I6 - 20975042560/243*I3^2*I3''^2*I6 - 1217744896/243*I3*I3'*I3''^2*I6 - 20796928/243*I3'^2*I3''^2*I6 + 1048751104/729*I3*I3''^3*I6 + 44663552/729*I3'*I3''^3*I6 - 10157120/729*I3''^4*I6 + 1780613120/81*I3^2*I6^2 + 68354048/81*I3*I3'*I6^2 + 684032/81*I3'^2*I6^2 - 54394880/81*I3*I3''*I6^2 - 2332672/81*I3'*I3''*I6^2 + 1061120/81*I3''^2*I6^2 - 4096*I6^3
DOF[10] = 25780541194240000/3*I3^6 + 2578054119424000*I3^5*I3' + 754343896678400/3*I3^4*I3'^2 + 24826924236800/3*I3^3*I3'^3 + 32275169280*I3^2*I3'^4 - 4173332480/3*I3*I3'^5 - 9175040*I3'^6 - 6182068551680000/3*I3^5*I3'' - 443925135360000*I3^4*I3'*I3'' - 83261967564800/3*I3^3*I3'^2*I3'' - 1470481039360/3*I3^2*I3'^3*I3'' + 1805647872*I3*I3'^4*I3'' + 271450112/3*I3'^5*I3'' + 183210554163200*I3^4*I3''^2 + 80875744133120/3*I3^3*I3'*I3''^2 + 1069575831552*I3^2*I3'^2*I3''^2 + 7560495104*I3*I3'^3*I3''^2 - 618217472/3*I3'^4*I3''^2 - 23701508587520/3*I3^3*I3''^3 - 793763643392*I3^2*I3'*I3''^3 - 49976049664/3*I3*I3'^2*I3''^3 + 158941184*I3'^3*I3''^3 + 572720939008/3*I3^2*I3''^4 + 10978328576*I3*I3'*I3''^4 - 31821824/3*I3'^2*I3''^4 - 2345992192*I3*I3''^5 - 99328000/3*I3'*I3''^5 + 9539584*I3''^6 - 95361695744000/3*I3^4*I6 - 15637204172800/3*I3^3*I3'*I6 - 178027233280*I3^2*I3'^2*I6 - 117440512/3*I3*I3'^3*I6 + 115081216/3*I3'^4*I6 + 13728376422400/3*I3^3*I3''*I6 + 418035793920*I3^2*I3'*I3''*I6 + 6199181312*I3*I3'^2*I3''*I6 - 269221888/3*I3'^3*I3''*I6 - 200639774720*I3^2*I3''^2*I6 - 10310909952*I3*I3'*I3''^2*I6 + 28934144*I3'^2*I3''^2*I6 + 11537809408/3*I3*I3''^3*I6 + 134365184/3*I3'*I3''^3*I6 - 64040960/3*I3''^4*I6 + 29737615360*I3^2*I6^2 + 1161822208*I3*I3'*I6^2 - 4456448*I3'^2*I6^2 - 1583349760*I3*I3''*I6^2 - 11927552*I3'*I3''*I6^2 + 14172160*I3''^2*I6^2 - 2359296*I6^3
DOF[11] = 188566244163584000000*I3^7 + 65998185457254400000*I3^6*I3' + 8305092360929280000*I3^5*I3'^2 + 445181950164992000*I3^4*I3'^3 + 8845270397747200*I3^3*I3'^4 + 12144020029440*I3^2*I3'^5 - 22414360576*I3*I3'^6 - 33554432*I3'^7 - 48392255517491200000*I3^6*I3'' - 12817385002106880000*I3^5*I3'*I3'' - 1117332306080563200*I3^4*I3'^2*I3'' - 35217507761520640*I3^3*I3'^3*I3'' - 271098335723520*I3^2*I3'^4*I3'' - 1786773504000*I3*I3'^5*I3'' + 2675965952*I3'^6*I3'' + 4719554018987212800*I3^5*I3''^2 + 875153101852508160*I3^4*I3'*I3''^2 + 46486567790837760*I3^3*I3'^2*I3''^2 + 727406667104256*I3^2*I3'^3*I3''^2 + 8714622861312*I3*I3'^4*I3''^2 + 8971616256*I3'^5*I3''^2 - 215630774420897792*I3^4*I3''^3 - 24746199252729856*I3^3*I3'*I3''^3 - 714907104313344*I3^2*I3'^2*I3''^3 - 14635856035840*I3*I3'^3*I3''^3 - 60664315904*I3'^4*I3''^3 + 4542755233595392*I3^3*I3''^4 + 291010340978688*I3^2*I3'*I3''^4 + 10955337498624*I3*I3'^2*I3''^4 + 102304317440*I3'^3*I3''^4 - 40553014099968*I3^2*I3''^5 - 3704119885824*I3*I3'*I3''^5 - 76338954240*I3'^2*I3''^5 + 456610807808*I3*I3''^6 + 26702774272*I3'*I3''^6 - 3617849344*I3''^7 - 628783212134400000*I3^5*I6 - 123446379518361600*I3^4*I3'*I6 - 6855766384312320*I3^3*I3'^2*I6 - 121214714511360*I3^2*I3'^3*I6 - 914626707456*I3*I3'^4*I6 + 1308622848*I3'^5*I6 + 94679547563212800*I3^4*I3''*I6 + 11753111433510912*I3^3*I3'*I3''*I6 + 390160063660032*I3^2*I3'^2*I3''*I6 + 5569498841088*I3*I3'^3*I3''*I6 + 13010731008*I3'^4*I3''*I6 - 4492118106046464*I3^3*I3''^2*I6 - 339188398424064*I3^2*I3'*I3''^2*I6 - 9455454388224*I3*I3'^2*I3''^2*I6 - 64751665152*I3'^3*I3''^2*I6 + 83615161516032*I3^2*I3''^3*I6 + 5605888622592*I3*I3'*I3''^3*I6 + 91100282880*I3'^2*I3''^3*I6 - 1035309416448*I3*I3''^4*I6 - 48654974976*I3'*I3''^4*I6 + 8878817280*I3''^5*I6 + 479927161847808*I3^3*I6^2 + 31832150114304*I3^2*I3'*I6^2 + 804501061632*I3*I3'^2*I6^2 + 3925868544*I3'^3*I6^2 - 26921794535424*I3^2*I3''*I6^2 - 1777512480768*I3*I3'*I3''*I6^2 - 18345885696*I3'^2*I3''*I6^2 + 715263049728*I3*I3''^2*I6^2 + 22762487808*I3'*I3''^2*I6^2 - 6813646848*I3''^3*I6^2 - 77913391104*I3*I6^3 - 905969664*I3'*I6^3 + 1585446912*I3''*I6^3
DOF[12] = 494986390929408000000*I3^7 + 173245236825292800000*I3^6*I3' + 21567264176209920000*I3^5*I3'^2 + 1112076554600448000*I3^4*I3'^3 + 19447359586959360*I3^3*I3'^4 - 9351217545216*I3^2*I3'^5 + 350710923264*I3*I3'^6 + 452984832*I3'^7 - 131701736158003200000*I3^6*I3'' - 34765591302635520000*I3^5*I3'*I3'' - 2944116909366312960*I3^4*I3'^2*I3'' - 83074147034333184*I3^3*I3'^3*I3'' - 344473020137472*I3^2*I3'^4*I3'' - 1226078945280*I3*I3'^5*I3'' - 138412032*I3'^6*I3'' + 13404535550052925440*I3^5*I3''^2 + 2439912105575448576*I3^4*I3'*I3''^2 + 118135819692146688*I3^3*I3'^2*I3''^2 + 1138931106054144*I3^2*I3'^3*I3''^2 + 2118849134592*I3*I3'^4*I3''^2 - 24524095488*I3'^5*I3''^2 - 638450425455968256*I3^4*I3''^3 - 68079275621744640*I3^3*I3'*I3''^3 - 1262718824742912*I3^2*I3'^2*I3''^3 - 738711306240*I3*I3'^3*I3''^3 + 107714445312*I3'^4*I3''^3 + 13661419559976960*I3^3*I3''^4 + 572831280660480*I3^2*I3'*I3''^4 - 2061977518080*I3*I3'^2*I3''^4 - 192705724416*I3'^3*I3''^4 - 90933370552320*I3^2*I3''^5 + 2031496986624*I3*I3'*I3''^5 + 166222233600*I3'^2*I3''^5 - 501808103424*I3*I3''^6 - 67134554112*I3'*I3''^6 + 10113122304*I3''^7 - 1713047706009600000*I3^5*I6 - 331900383846727680*I3^4*I3'*I6 - 16994093594836992*I3^3*I3'^2*I6 - 193277957505024*I3^2*I3'^3*I6 - 278183018496*I3*I3'^4*I6 + 327155712*I3'^5*I6 + 269110066513182720*I3^4*I3''*I6 + 31749741503053824*I3^3*I3'*I3''*I6 + 708099849584640*I3^2*I3'^2*I3''*I6 + 1764652744704*I3*I3'^3*I3''*I6 - 25474105344*I3'^4*I3''*I6 - 13257628276752384*I3^3*I3''^2*I6 - 706126647656448*I3^2*I3'*I3''^2*I6 - 2870149644288*I3*I3'^2*I3''^2*I6 + 99870572544*I3'^3*I3''^2*I6 + 199222326460416*I3^2*I3''^3*I6 + 1149990076416*I3*I3'*I3''^3*I6 - 150090547200*I3'^2*I3''^3*I6 + 18437111808*I3*I3''^4*I6 + 97758216192*I3'*I3''^4*I6 - 21786132480*I3''^5*I6 + 1432968593670144*I3^3*I6^2 + 69088038617088*I3^2*I3'*I6^2 + 635688714240*I3*I3'^2*I6^2 - 6643777536*I3'^3*I6^2 - 75719132577792*I3^2*I3''*I6^2 - 1494774448128*I3*I3'*I3''*I6^2 + 23253221376*I3'^2*I3''*I6^2 + 679024263168*I3*I3''^2*I6^2 - 27934064640*I3'*I3''^2*I6^2 + 11749294080*I3''^3*I6^2 - 130006646784*I3*I6^3 + 226492416*I3'*I6^3 - 56623104*I3''*I6^3
DOF[13] = -1/1048576*I3*I3''^4*I6^2