{ "Index":180, "Name":"10_96", "RolfsenName":"10_96", "DTname":"10a_24", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-16, -10, 20, -12, -4, 18, -6, -2, 14, 8}", "Acode":"{-9, -6, 1, -7, -3, 10, -4, -2, 8, 5}", "PDcode":[ "{1, 16, 2, 17}", "{3, 10, 4, 11}", "{5, 1, 6, 20}", "{7, 12, 8, 13}", "{9, 4, 10, 5}", "{11, 19, 12, 18}", "{13, 6, 14, 7}", "{15, 2, 16, 3}", "{17, 15, 18, 14}", "{19, 9, 20, 8}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{8, 2, 4}", [], [ "{8, -2, 9, 1}", "{9, 8, 10, 1}", "{2, -9, 1, 2}", "{4, 1, 3, 2}", "{8, -4, 7, 2}", "{4, -7, 5, 1}", "{7, 10, 6, 2}" ], "{2, 10}", "{5}", 5 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-a + u + 2*a*b*u + 2*b^2*u + a^2*b^2*u + 2*a*b^3*u + b^4*u - a*u^2 - b*u^2 + 2*u^3 + 4*a*b*u^3 + 6*b^2*u^3 + 2*a^2*b^2*u^3 + 6*a*b^3*u^3 + 4*b^4*u^3 - a*u^4 + 3*u^5 + 6*a*b*u^5 + 8*b^2*u^5 + 3*a^2*b^2*u^5 + 8*a*b^3*u^5 + 6*b^4*u^5 + 2*u^7 + 4*a*b*u^7 + 6*b^2*u^7 + 2*a^2*b^2*u^7 + 6*a*b^3*u^7 + 4*b^4*u^7 + u^9 + 2*a*b*u^9 + 2*b^2*u^9 + a^2*b^2*u^9 + 2*a*b^3*u^9 + b^4*u^9", "-b + u + b^2*u + a*b^3*u + b^4*u + a*u^2 + b*u^2 + b^4*u^3 + 2*a*u^4 + b*u^4 - u^5 - 2*a*b*u^5 - 2*b^2*u^5 - a^2*b^2*u^5 - 2*a*b^3*u^5 - 2*b^4*u^5 + a*u^6 - u^7 - 2*a*b*u^7 - 4*b^2*u^7 - a^2*b^2*u^7 - 4*a*b^3*u^7 - 3*b^4*u^7 - u^9 - 2*a*b*u^9 - 2*b^2*u^9 - a^2*b^2*u^9 - 2*a*b^3*u^9 - b^4*u^9", "1 + a*b + b^2 + 2*a*b^3 + b^4 + a*b^5 + u + u^2 + a^2*u^2 + 3*a*b*u^2 + 2*b^2*u^2 + 2*a^2*b^2*u^2 + 4*a*b^3*u^2 + b^4*u^2 + a^2*b^4*u^2 + a*b^5*u^2", "b^2 + 2*b^4 + b^6 - u - u^2 + a*b*u^2 + 2*b^2*u^2 + 2*a*b^3*u^2 + 3*b^4*u^2 + a*b^5*u^2 + b^6*u^2 - u^3" ], "TimingForPrimaryIdeals":0.15755 }, "v":{ "CheckEq":[ "b^2 + 2*b^4 + b^6", "1 + a*b + b^2 + 2*a*b^3 + b^4 + a*b^5 - v", "-b - b^4*v", "-a + v - b^2*v - a*b^3*v - b^4*v - b*v^2" ], "TimingForPrimaryIdeals":7.8809e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_96_0", "Generators":[ "28315457 + 51537967*b + 41937505*u + 19863898*u^2 - 31620165*u^3 + 25772202*u^4 + 18074215*u^5 + 36525078*u^6 - 47043124*u^7 + 83790621*u^8 - 46280400*u^9 + 72513692*u^10 - 48132628*u^11 + 46238913*u^12 - 38308154*u^13 + 18759745*u^14 - 17962809*u^15 + 4798544*u^16 - 5272122*u^17", "-139434563 + 206151868*a - 31939211*u + 284961063*u^2 + 289751112*u^3 + 46051478*u^4 - 22541894*u^5 + 228384168*u^6 - 14552580*u^7 - 124036927*u^8 + 113976059*u^9 - 37443243*u^10 + 251095088*u^11 + 32439333*u^12 + 256416441*u^13 + 34331746*u^14 + 129993270*u^15 + 11491400*u^16 + 38859701*u^17", "4 + 3*u + u^2 + 7*u^3 + 8*u^4 + 6*u^5 + 2*u^6 + 4*u^7 + 8*u^8 - 5*u^9 + 11*u^10 - 3*u^11 + 12*u^12 - u^13 + 9*u^14 + 4*u^16 + u^18" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.454800000000001e-2, "TimingZeroDimVars":7.8264e-2, "TimingmagmaVCompNormalize":7.9608e-2, "TimingNumberOfSols":0.18297, "TimingIsRadical":1.5625e-2, "TimingArcColoring":7.7747e-2, "TimingObstruction":4.3336e-2, "TimingComplexVolumeN":1.2265277999999999e1, "TimingaCuspShapeN":0.116335, "TiminguValues":0.667042, "TiminguPolysN":4.3309e-2, "TiminguPolys":0.877, "TimingaCuspShape":0.132575, "TimingRepresentationsN":0.175525, "TiminguValues_ij":0.202177, "TiminguPoly_ij":1.855707, "TiminguPolys_ij_N":8.1884e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":18, "IsRadical":true, "ArcColoring":[ [ "-u", "u + u^3" ], [ 0, "u" ], [ "(215641451 + 58397093*u - 216793969*u^2 - 109961184*u^3 - 44269538*u^4 + 63425918*u^5 - 306478892*u^6 + 115730756*u^7 + 81358467*u^8 + 78322735*u^9 + 93244069*u^10 - 53549056*u^11 + 22736591*u^12 - 147118139*u^13 - 13825972*u^14 - 98516060*u^15 - 12531672*u^16 - 34378151*u^17)\/206151868", "(-96814902 - 89701259*u - 105712598*u^2 - 41283752*u^3 - 74994584*u^4 - 131680022*u^5 - 22489386*u^6 + 25456154*u^7 - 102392638*u^8 - 33650805*u^9 - 168513938*u^10 - 72448224*u^11 - 160930158*u^12 - 49396423*u^13 - 82282338*u^14 - 14295163*u^15 - 21410383*u^16 + 1527964*u^17)\/103075934" ], [ "(139434563 + 31939211*u - 284961063*u^2 - 289751112*u^3 - 46051478*u^4 + 22541894*u^5 - 228384168*u^6 + 14552580*u^7 + 124036927*u^8 - 113976059*u^9 + 37443243*u^10 - 251095088*u^11 - 32439333*u^12 - 256416441*u^13 - 34331746*u^14 - 129993270*u^15 - 11491400*u^16 - 38859701*u^17)\/206151868", "(-28315457 - 41937505*u - 19863898*u^2 + 31620165*u^3 - 25772202*u^4 - 18074215*u^5 - 36525078*u^6 + 47043124*u^7 - 83790621*u^8 + 46280400*u^9 - 72513692*u^10 + 48132628*u^11 - 46238913*u^12 + 38308154*u^13 - 18759745*u^14 + 17962809*u^15 - 4798544*u^16 + 5272122*u^17)\/51537967" ], [ "(164044709 + 95046617*u - 242763449*u^2 - 155970904*u^3 - 61918782*u^4 - 19401430*u^5 - 335151624*u^6 - 64141252*u^7 + 70334821*u^8 - 117463485*u^9 + 61500193*u^10 - 204692624*u^11 - 3733735*u^12 - 228379707*u^13 - 27695446*u^14 - 124019004*u^15 - 13294688*u^16 - 38460623*u^17)\/103075934", "(-76921246 - 139713289*u - 66753620*u^2 - 13230456*u^3 - 75857040*u^4 - 84422478*u^5 - 28759908*u^6 + 90654566*u^7 - 121771866*u^8 + 60984147*u^9 - 152801684*u^10 + 26940838*u^11 - 128417426*u^12 + 21097179*u^13 - 58882950*u^14 + 13847723*u^15 - 14911744*u^16 + 6647344*u^17)\/51537967" ], [ "(-82803649 - 51140135*u + 324688859*u^2 + 123434848*u^3 + 97595882*u^4 - 89469398*u^5 + 301434324*u^6 - 108638828*u^7 + 43544315*u^8 + 21415259*u^9 + 107584141*u^10 + 154829832*u^11 + 124917159*u^12 + 179800133*u^13 + 71851236*u^14 + 94067652*u^15 + 21088488*u^16 + 28315457*u^17)\/206151868", "(77719402 + 128006833*u + 35399456*u^2 - 6471578*u^3 + 10563248*u^4 + 93553364*u^5 + 50130648*u^6 - 36472682*u^7 + 162715094*u^8 - 35130789*u^9 + 156740326*u^10 - 39567930*u^11 + 107610662*u^12 - 35649517*u^13 + 46660434*u^14 - 17165873*u^15 + 12722767*u^16 - 5745700*u^17)\/103075934" ], [ "(-34180165 - 163017745*u + 256284653*u^2 + 237270440*u^3 + 27084662*u^4 + 51836130*u^5 + 244542112*u^6 + 182474332*u^7 - 309338865*u^8 + 195454085*u^9 - 290118801*u^10 + 259029096*u^11 - 147200297*u^12 + 271102383*u^13 - 28590326*u^14 + 150809038*u^15 + 3055928*u^16 + 48407451*u^17)\/206151868", "(34378151 + 79693976*u + 23193811*u^2 + 5963272*u^3 + 41266006*u^4 + 40499842*u^5 + 33045555*u^6 - 42241572*u^7 + 97688991*u^8 - 22633072*u^9 + 114120599*u^10 - 2472596*u^11 + 89747189*u^12 - 2910390*u^13 + 40571305*u^14 - 3456493*u^15 + 9749136*u^16 - 3132918*u^17)\/51537967" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-u^2" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-3.68268 - 9.36876*I", "-3.68268 + 9.36876*I", "1.41086 + 2.64017*I", "1.41086 - 2.64017*I", "0.11776 - 1.42471*I", "0.11776 + 1.42471*I", "2.35859 + 1.45777*I", "2.35859 - 1.45777*I", "-0.64162 - 4.35809*I", "-0.64162 + 4.35809*I", "0.38947 - 1.38737*I", "0.38947 + 1.38737*I", "-6.1478 + 15.1779*I", "-6.1478 - 15.1779*I", "-9.80486 - 5.84779*I", "-9.80486 + 5.84779*I", "-3.73889 - 6.36829*I", "-3.73889 + 6.36829*I" ], "uPolysN":[ "4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "1\/4 + u\/4 + (3*u^2)\/2 + u^3 + (9*u^4)\/2 + 3*u^5 + 9*u^6 + (7*u^7)\/2 + (43*u^8)\/4 + (5*u^9)\/4 + (25*u^10)\/2 - (15*u^11)\/2 + (33*u^12)\/4 - (35*u^13)\/4 + (37*u^14)\/4 + u^15\/2 + u^16\/4 - (3*u^17)\/2 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "1\/4 + u\/4 + (3*u^2)\/2 + u^3 + (9*u^4)\/2 + 3*u^5 + 9*u^6 + (7*u^7)\/2 + (43*u^8)\/4 + (5*u^9)\/4 + (25*u^10)\/2 - (15*u^11)\/2 + (33*u^12)\/4 - (35*u^13)\/4 + (37*u^14)\/4 + u^15\/2 + u^16\/4 - (3*u^17)\/2 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18", "16 - u + 23*u^2 - 53*u^3 + 24*u^4 + 74*u^5 + 290*u^6 + 396*u^7 + 440*u^8 + 395*u^9 + 393*u^10 + 421*u^11 + 404*u^12 + 319*u^13 + 199*u^14 + 96*u^15 + 34*u^16 + 8*u^17 + u^18", "32 + 120*u + 158*u^2 + 89*u^3 + 184*u^4 + 466*u^5 + 492*u^6 + 132*u^7 - 214*u^8 - 304*u^9 - 66*u^10 + 97*u^11 + 72*u^12 - 10*u^13 - 26*u^14 - 11*u^15 + 2*u^16 + 3*u^17 + u^18" ], "uPolys":[ "4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "4*(1 + u + 6*u^2 + 4*u^3 + 18*u^4 + 12*u^5 + 36*u^6 + 14*u^7 + 43*u^8 + 5*u^9 + 50*u^10 - 30*u^11 + 33*u^12 - 35*u^13 + 37*u^14 + 2*u^15 + u^16 - 6*u^17 + 4*u^18)", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "4*(1 + u + 6*u^2 + 4*u^3 + 18*u^4 + 12*u^5 + 36*u^6 + 14*u^7 + 43*u^8 + 5*u^9 + 50*u^10 - 30*u^11 + 33*u^12 - 35*u^13 + 37*u^14 + 2*u^15 + u^16 - 6*u^17 + 4*u^18)", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18", "16 - u + 23*u^2 - 53*u^3 + 24*u^4 + 74*u^5 + 290*u^6 + 396*u^7 + 440*u^8 + 395*u^9 + 393*u^10 + 421*u^11 + 404*u^12 + 319*u^13 + 199*u^14 + 96*u^15 + 34*u^16 + 8*u^17 + u^18", "32 + 120*u + 158*u^2 + 89*u^3 + 184*u^4 + 466*u^5 + 492*u^6 + 132*u^7 - 214*u^8 - 304*u^9 - 66*u^10 + 97*u^11 + 72*u^12 - 10*u^13 - 26*u^14 - 11*u^15 + 2*u^16 + 3*u^17 + u^18" ], "aCuspShape":"2 + (1245538420 + 657635827*u - 199454198*u^2 + 503094378*u^3 + 687128464*u^4 + 715944516*u^5 - 2041633250*u^6 + 1870261034*u^7 - 999235712*u^8 + 1932524725*u^9 - 647314450*u^10 + 1128460650*u^11 - 583405912*u^12 + 115728513*u^13 - 339330384*u^14 - 148573813*u^15 - 127343919*u^16 - 93917468*u^17)\/206151868", "RepresentationsN":[ [ "u->0.954364 + 0.371541 I", "a->-0.854485 + 0.746417 I", "b->0.527077 - 1.25395 I" ], [ "u->0.954364 - 0.371541 I", "a->-0.854485 - 0.746417 I", "b->0.527077 + 1.25395 I" ], [ "u->0.495157 + 0.969336 I", "a->0.81136 - 1.1293 I", "b->-1.27849 + 0.262032 I" ], [ "u->0.495157 - 0.969336 I", "a->0.81136 + 1.1293 I", "b->-1.27849 - 0.262032 I" ], [ "u->-0.567357 + 0.706169 I", "a->-0.421889 - 0.044039 I", "b->0.123272 + 0.375141 I" ], [ "u->-0.567357 - 0.706169 I", "a->-0.421889 + 0.044039 I", "b->0.123272 - 0.375141 I" ], [ "u->0.501769 + 0.662267 I", "a->1.69141 - 0.67535 I", "b->-1.01002 - 0.434093 I" ], [ "u->0.501769 - 0.662267 I", "a->1.69141 + 0.67535 I", "b->-1.01002 + 0.434093 I" ], [ "u->-0.881883 + 0.89609 I", "a->-0.838759 + 0.128282 I", "b->0.278239 - 0.862332 I" ], [ "u->-0.881883 - 0.89609 I", "a->-0.838759 - 0.128282 I", "b->0.278239 + 0.862332 I" ], [ "u->-0.715844 + 0.165207 I", "a->0.153155 + 0.140793 I", "b->-0.254607 + 0.632963 I" ], [ "u->-0.715844 - 0.165207 I", "a->0.153155 - 0.140793 I", "b->-0.254607 - 0.632963 I" ], [ "u->0.644327 + 1.17832 I", "a->-1.77812 + 0.47961 I", "b->0.5719 + 1.33178 I" ], [ "u->0.644327 - 1.17832 I", "a->-1.77812 - 0.47961 I", "b->0.5719 - 1.33178 I" ], [ "u->0.12355 + 1.35542 I", "a->-0.009343 - 0.587707 I", "b->0.343795 - 1.27501 I" ], [ "u->0.12355 - 1.35542 I", "a->-0.009343 + 0.587707 I", "b->0.343795 + 1.27501 I" ], [ "u->-0.554083 + 1.29863 I", "a->0.871664 + 0.626444 I", "b->-0.301163 + 1.05457 I" ], [ "u->-0.554083 - 1.29863 I", "a->0.871664 - 0.626444 I", "b->-0.301163 - 1.05457 I" ] ], "Epsilon":0.942757, "uPolys_ij":[ "4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18", "16 - u + 23*u^2 - 53*u^3 + 24*u^4 + 74*u^5 + 290*u^6 + 396*u^7 + 440*u^8 + 395*u^9 + 393*u^10 + 421*u^11 + 404*u^12 + 319*u^13 + 199*u^14 + 96*u^15 + 34*u^16 + 8*u^17 + u^18", "256 - 735*u + 1191*u^2 - 7723*u^3 + 36632*u^4 - 84026*u^5 + 120330*u^6 - 129004*u^7 + 110032*u^8 - 64831*u^9 + 28469*u^10 - 5965*u^11 - 644*u^12 + 517*u^13 - 125*u^14 - 20*u^15 + 18*u^16 - 4*u^17 + u^18", "676 - 1755*u + 3509*u^2 - 4867*u^3 + 5216*u^4 - 4050*u^5 + 2332*u^6 - 698*u^7 - 114*u^8 + 277*u^9 - 41*u^10 - 17*u^11 + 18*u^12 + 41*u^13 - 5*u^14 - 2*u^15 + u^18", "1024 + 4288*u + 15380*u^2 + 30129*u^3 + 61004*u^4 + 58484*u^5 + 54872*u^6 - 37262*u^7 - 6468*u^8 + 17242*u^9 + 20342*u^10 + 11421*u^11 + 3204*u^12 + 578*u^13 + 30*u^14 + 21*u^15 + 18*u^16 + 5*u^17 + u^18", "568 - 184*u + 1792*u^2 - 1655*u^3 + 4224*u^4 - 5808*u^5 + 5446*u^6 - 4938*u^7 + 3442*u^8 + 232*u^9 - 504*u^10 - 481*u^11 + 764*u^12 - 686*u^13 + 334*u^14 - 117*u^15 + 34*u^16 - 5*u^17 + u^18", "4*(2143 + 991*u + 8756*u^2 + 6206*u^3 + 9144*u^4 - 8250*u^5 - 8314*u^6 - 7352*u^7 - 1607*u^8 + 2125*u^9 + 4012*u^10 + 2748*u^11 + 1751*u^12 + 851*u^13 + 241*u^14 + 96*u^15 + 21*u^16 - 2*u^17 + 4*u^18)", "4*(17 + 47*u + 100*u^2 + 180*u^3 + 268*u^4 + 290*u^5 + 350*u^6 + 282*u^7 + 347*u^8 + 197*u^9 + 420*u^10 - 186*u^11 + 481*u^12 - 163*u^13 + 151*u^14 - 10*u^15 + 25*u^16 - 2*u^17 + 4*u^18)", "4*(1 - 7*u + 26*u^2 - 116*u^3 + 564*u^4 - 1938*u^5 + 4358*u^6 - 6664*u^7 + 7395*u^8 - 6475*u^9 + 4972*u^10 - 3370*u^11 + 1779*u^12 - 729*u^13 + 441*u^14 - 84*u^15 + 67*u^16 - 6*u^17 + 4*u^18)", "32 + 120*u + 158*u^2 + 89*u^3 + 184*u^4 + 466*u^5 + 492*u^6 + 132*u^7 - 214*u^8 - 304*u^9 - 66*u^10 + 97*u^11 + 72*u^12 - 10*u^13 - 26*u^14 - 11*u^15 + 2*u^16 + 3*u^17 + u^18", "4*(49 - 259*u + 814*u^2 - 1724*u^3 + 2684*u^4 - 3492*u^5 + 6044*u^6 - 7786*u^7 + 7303*u^8 - 7277*u^9 + 4170*u^10 - 2342*u^11 + 1843*u^12 - 263*u^13 + 451*u^14 - 4*u^15 + 61*u^16 + 2*u^17 + 4*u^18)", "4*(53 - 113*u + 626*u^2 - 1568*u^3 + 3300*u^4 - 6514*u^5 + 9318*u^6 - 10744*u^7 + 10183*u^8 - 5621*u^9 - 972*u^10 + 4162*u^11 - 2129*u^12 - 625*u^13 + 719*u^14 + 12*u^15 - 89*u^16 + 2*u^17 + 4*u^18)", "16*(394 + 3169*u + 7536*u^2 + 496*u^3 - 16788*u^4 - 11638*u^5 + 17236*u^6 + 22134*u^7 - 18448*u^8 - 26315*u^9 + 41156*u^10 - 19782*u^11 - 138*u^12 + 2881*u^13 + 1110*u^14 - 2167*u^15 + 1001*u^16 - 204*u^17 + 16*u^18)", "8 - 20*u + 102*u^2 - 255*u^3 + 520*u^4 - 542*u^5 + 40*u^6 + 1456*u^7 - 3676*u^8 + 3086*u^9 + 2428*u^10 - 8349*u^11 + 9444*u^12 - 6346*u^13 + 2816*u^14 - 841*u^15 + 164*u^16 - 19*u^17 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "4*(1 + u + 6*u^2 + 4*u^3 + 18*u^4 + 12*u^5 + 36*u^6 + 14*u^7 + 43*u^8 + 5*u^9 + 50*u^10 - 30*u^11 + 33*u^12 - 35*u^13 + 37*u^14 + 2*u^15 + u^16 - 6*u^17 + 4*u^18)", "16*(2972 - 40129*u + 255100*u^2 - 1018680*u^3 + 2872808*u^4 - 6088306*u^5 + 10054016*u^6 - 13213158*u^7 + 13974412*u^8 - 11942457*u^9 + 8237028*u^10 - 4559826*u^11 + 2005984*u^12 - 690733*u^13 + 181960*u^14 - 35395*u^15 + 4793*u^16 - 404*u^17 + 16*u^18)", "1 + 17*u + 131*u^2 + 527*u^3 + 1270*u^4 + 1866*u^5 + 1636*u^6 + 818*u^7 + 425*u^8 + 629*u^9 + 671*u^10 + 279*u^11 - 67*u^12 - 97*u^13 + 4*u^14 + 45*u^15 + 28*u^16 + 8*u^17 + u^18", "4*(1 + 5*u - 12*u^2 - 90*u^3 + 536*u^4 - 870*u^5 + 24*u^6 + 1144*u^7 - 689*u^8 - 697*u^9 + 870*u^10 + 84*u^11 - 417*u^12 + 11*u^13 + 151*u^14 - 24*u^15 - 21*u^16 - 2*u^17 + 4*u^18)", "16*(1 - 11*u + 64*u^2 - 248*u^3 + 718*u^4 - 1646*u^5 + 3194*u^6 - 5360*u^7 + 7939*u^8 - 9679*u^9 + 9366*u^10 - 6236*u^11 + 3211*u^12 - 1841*u^13 + 1615*u^14 + 86*u^15 + 321*u^16 + 28*u^17 + 16*u^18)", "4*(49 - 273*u + 670*u^2 - 1282*u^3 + 3400*u^4 - 9844*u^5 + 21578*u^6 - 33526*u^7 + 37371*u^8 - 30353*u^9 + 18340*u^10 - 8822*u^11 + 3917*u^12 - 1685*u^13 + 569*u^14 - 132*u^15 + 39*u^16 - 18*u^17 + 4*u^18)", "4*(1 - 17*u + 202*u^2 - 1088*u^3 + 3982*u^4 - 780*u^5 + 3948*u^6 - 1534*u^7 + 3059*u^8 + 5741*u^9 + 6052*u^10 + 4646*u^11 + 3301*u^12 + 1375*u^13 + 785*u^14 + 186*u^15 + 89*u^16 + 10*u^17 + 4*u^18)" ], "GeometricComponent":"{13, 14}", "uPolys_ij_N":[ "4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18", "16 - u + 23*u^2 - 53*u^3 + 24*u^4 + 74*u^5 + 290*u^6 + 396*u^7 + 440*u^8 + 395*u^9 + 393*u^10 + 421*u^11 + 404*u^12 + 319*u^13 + 199*u^14 + 96*u^15 + 34*u^16 + 8*u^17 + u^18", "256 - 735*u + 1191*u^2 - 7723*u^3 + 36632*u^4 - 84026*u^5 + 120330*u^6 - 129004*u^7 + 110032*u^8 - 64831*u^9 + 28469*u^10 - 5965*u^11 - 644*u^12 + 517*u^13 - 125*u^14 - 20*u^15 + 18*u^16 - 4*u^17 + u^18", "676 - 1755*u + 3509*u^2 - 4867*u^3 + 5216*u^4 - 4050*u^5 + 2332*u^6 - 698*u^7 - 114*u^8 + 277*u^9 - 41*u^10 - 17*u^11 + 18*u^12 + 41*u^13 - 5*u^14 - 2*u^15 + u^18", "1024 + 4288*u + 15380*u^2 + 30129*u^3 + 61004*u^4 + 58484*u^5 + 54872*u^6 - 37262*u^7 - 6468*u^8 + 17242*u^9 + 20342*u^10 + 11421*u^11 + 3204*u^12 + 578*u^13 + 30*u^14 + 21*u^15 + 18*u^16 + 5*u^17 + u^18", "568 - 184*u + 1792*u^2 - 1655*u^3 + 4224*u^4 - 5808*u^5 + 5446*u^6 - 4938*u^7 + 3442*u^8 + 232*u^9 - 504*u^10 - 481*u^11 + 764*u^12 - 686*u^13 + 334*u^14 - 117*u^15 + 34*u^16 - 5*u^17 + u^18", "2143\/4 + (991*u)\/4 + 2189*u^2 + (3103*u^3)\/2 + 2286*u^4 - (4125*u^5)\/2 - (4157*u^6)\/2 - 1838*u^7 - (1607*u^8)\/4 + (2125*u^9)\/4 + 1003*u^10 + 687*u^11 + (1751*u^12)\/4 + (851*u^13)\/4 + (241*u^14)\/4 + 24*u^15 + (21*u^16)\/4 - u^17\/2 + u^18", "17\/4 + (47*u)\/4 + 25*u^2 + 45*u^3 + 67*u^4 + (145*u^5)\/2 + (175*u^6)\/2 + (141*u^7)\/2 + (347*u^8)\/4 + (197*u^9)\/4 + 105*u^10 - (93*u^11)\/2 + (481*u^12)\/4 - (163*u^13)\/4 + (151*u^14)\/4 - (5*u^15)\/2 + (25*u^16)\/4 - u^17\/2 + u^18", "1\/4 - (7*u)\/4 + (13*u^2)\/2 - 29*u^3 + 141*u^4 - (969*u^5)\/2 + (2179*u^6)\/2 - 1666*u^7 + (7395*u^8)\/4 - (6475*u^9)\/4 + 1243*u^10 - (1685*u^11)\/2 + (1779*u^12)\/4 - (729*u^13)\/4 + (441*u^14)\/4 - 21*u^15 + (67*u^16)\/4 - (3*u^17)\/2 + u^18", "32 + 120*u + 158*u^2 + 89*u^3 + 184*u^4 + 466*u^5 + 492*u^6 + 132*u^7 - 214*u^8 - 304*u^9 - 66*u^10 + 97*u^11 + 72*u^12 - 10*u^13 - 26*u^14 - 11*u^15 + 2*u^16 + 3*u^17 + u^18", "49\/4 - (259*u)\/4 + (407*u^2)\/2 - 431*u^3 + 671*u^4 - 873*u^5 + 1511*u^6 - (3893*u^7)\/2 + (7303*u^8)\/4 - (7277*u^9)\/4 + (2085*u^10)\/2 - (1171*u^11)\/2 + (1843*u^12)\/4 - (263*u^13)\/4 + (451*u^14)\/4 - u^15 + (61*u^16)\/4 + u^17\/2 + u^18", "53\/4 - (113*u)\/4 + (313*u^2)\/2 - 392*u^3 + 825*u^4 - (3257*u^5)\/2 + (4659*u^6)\/2 - 2686*u^7 + (10183*u^8)\/4 - (5621*u^9)\/4 - 243*u^10 + (2081*u^11)\/2 - (2129*u^12)\/4 - (625*u^13)\/4 + (719*u^14)\/4 + 3*u^15 - (89*u^16)\/4 + u^17\/2 + u^18", "197\/8 + (3169*u)\/16 + 471*u^2 + 31*u^3 - (4197*u^4)\/4 - (5819*u^5)\/8 + (4309*u^6)\/4 + (11067*u^7)\/8 - 1153*u^8 - (26315*u^9)\/16 + (10289*u^10)\/4 - (9891*u^11)\/8 - (69*u^12)\/8 + (2881*u^13)\/16 + (555*u^14)\/8 - (2167*u^15)\/16 + (1001*u^16)\/16 - (51*u^17)\/4 + u^18", "8 - 20*u + 102*u^2 - 255*u^3 + 520*u^4 - 542*u^5 + 40*u^6 + 1456*u^7 - 3676*u^8 + 3086*u^9 + 2428*u^10 - 8349*u^11 + 9444*u^12 - 6346*u^13 + 2816*u^14 - 841*u^15 + 164*u^16 - 19*u^17 + u^18", "1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18", "1\/4 + u\/4 + (3*u^2)\/2 + u^3 + (9*u^4)\/2 + 3*u^5 + 9*u^6 + (7*u^7)\/2 + (43*u^8)\/4 + (5*u^9)\/4 + (25*u^10)\/2 - (15*u^11)\/2 + (33*u^12)\/4 - (35*u^13)\/4 + (37*u^14)\/4 + u^15\/2 + u^16\/4 - (3*u^17)\/2 + u^18", "743\/4 - (40129*u)\/16 + (63775*u^2)\/4 - (127335*u^3)\/2 + (359101*u^4)\/2 - (3044153*u^5)\/8 + 628376*u^6 - (6606579*u^7)\/8 + (3493603*u^8)\/4 - (11942457*u^9)\/16 + (2059257*u^10)\/4 - (2279913*u^11)\/8 + 125374*u^12 - (690733*u^13)\/16 + (22745*u^14)\/2 - (35395*u^15)\/16 + (4793*u^16)\/16 - (101*u^17)\/4 + u^18", "1 + 17*u + 131*u^2 + 527*u^3 + 1270*u^4 + 1866*u^5 + 1636*u^6 + 818*u^7 + 425*u^8 + 629*u^9 + 671*u^10 + 279*u^11 - 67*u^12 - 97*u^13 + 4*u^14 + 45*u^15 + 28*u^16 + 8*u^17 + u^18", "1\/4 + (5*u)\/4 - 3*u^2 - (45*u^3)\/2 + 134*u^4 - (435*u^5)\/2 + 6*u^6 + 286*u^7 - (689*u^8)\/4 - (697*u^9)\/4 + (435*u^10)\/2 + 21*u^11 - (417*u^12)\/4 + (11*u^13)\/4 + (151*u^14)\/4 - 6*u^15 - (21*u^16)\/4 - u^17\/2 + u^18", "1\/16 - (11*u)\/16 + 4*u^2 - (31*u^3)\/2 + (359*u^4)\/8 - (823*u^5)\/8 + (1597*u^6)\/8 - 335*u^7 + (7939*u^8)\/16 - (9679*u^9)\/16 + (4683*u^10)\/8 - (1559*u^11)\/4 + (3211*u^12)\/16 - (1841*u^13)\/16 + (1615*u^14)\/16 + (43*u^15)\/8 + (321*u^16)\/16 + (7*u^17)\/4 + u^18", "49\/4 - (273*u)\/4 + (335*u^2)\/2 - (641*u^3)\/2 + 850*u^4 - 2461*u^5 + (10789*u^6)\/2 - (16763*u^7)\/2 + (37371*u^8)\/4 - (30353*u^9)\/4 + 4585*u^10 - (4411*u^11)\/2 + (3917*u^12)\/4 - (1685*u^13)\/4 + (569*u^14)\/4 - 33*u^15 + (39*u^16)\/4 - (9*u^17)\/2 + u^18", "1\/4 - (17*u)\/4 + (101*u^2)\/2 - 272*u^3 + (1991*u^4)\/2 - 195*u^5 + 987*u^6 - (767*u^7)\/2 + (3059*u^8)\/4 + (5741*u^9)\/4 + 1513*u^10 + (2323*u^11)\/2 + (3301*u^12)\/4 + (1375*u^13)\/4 + (785*u^14)\/4 + (93*u^15)\/2 + (89*u^16)\/4 + (5*u^17)\/2 + u^18" ], "Multiplicity":1, "MinRepresentationVolume":[ "{11, 12}", 1.38737 ], "ij_list":[ [ "{1, 9}", "{2, 8}", "{2, 9}" ], [ "{1, 2}", "{8, 9}", "{8, 10}" ], [ "{9, 10}" ], [ "{1, 8}", "{2, 10}" ], [ "{1, 10}" ], [ "{5, 9}" ], [ "{7, 9}" ], [ "{4, 9}" ], [ "{3, 9}" ], [ "{1, 5}", "{5, 10}" ], [ "{1, 6}", "{4, 10}" ], [ "{6, 9}" ], [ "{4, 6}" ], [ "{2, 5}", "{5, 8}" ], [ "{2, 6}", "{3, 5}", "{3, 6}", "{4, 7}", "{4, 8}", "{5, 7}" ], [ "{1, 3}", "{1, 4}", "{6, 10}", "{7, 10}" ], [ "{3, 7}" ], [ "{2, 3}", "{4, 5}", "{5, 6}", "{7, 8}" ], [ "{2, 4}", "{6, 8}" ], [ "{3, 4}", "{6, 7}" ], [ "{2, 7}", "{3, 8}" ], [ "{1, 7}", "{3, 10}" ] ], "SortedReprnIndices":"{13, 14, 2, 1, 18, 17, 16, 15, 10, 9, 3, 4, 7, 8, 6, 5, 12, 11}", "aCuspShapeN":[ "-0.2735460074389956982`3.8300174862618657 + 5.7151943920518043327`5.150018112607125*I", "-0.2735460074389956982`3.8300174862618657 - 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4.9502953659863169885`4.946164691126433*I", "-2.6433967330566996482`4.585509999189511 + 9.3420570210175037151`5.133790164024912*I", "-2.6433967330566996482`4.585509999189511 - 9.3420570210175037151`5.133790164024912*I" ], "Abelian":false }, { "IdealName":"J10_96_1", "Generators":[ "-1 - 2*a + b + 5*u + 4*a*u - 4*u^2 + 6*u^3 + 5*a*u^3 - 9*u^4 - 5*a*u^4 + 11*u^5 + 6*a*u^5 - 10*u^6 - 4*a*u^6 + 15*u^7 + 9*a*u^7 - 14*u^8 - 4*a*u^8 + 18*u^9 + 10*a*u^9 - 12*u^10 + a*u^10 + 10*u^11 + 6*a*u^11 - 7*u^12 + a*u^12 + 4*u^13 + 2*a*u^13 - 2*u^14 + a*u^14", "4*a + a^2 + 8*u - 5*a*u - 3*u^2 + 10*a*u^2 + 8*u^3 - 10*a*u^3 + 14*a*u^4 + 10*u^5 - 13*a*u^5 - 5*u^6 + 20*a*u^6 + 18*u^7 - 20*a*u^7 - 2*u^8 + 26*a*u^8 + 14*u^9 - 20*a*u^9 + 2*u^10 + 20*a*u^10 + 8*u^11 - 12*a*u^11 + 3*u^12 + 10*a*u^12 + u^13 - 4*a*u^13 + 2*u^14 + 2*a*u^14", "-1 + 2*u - 2*u^2 + 4*u^3 - 4*u^4 + 6*u^5 - 6*u^6 + 8*u^7 - 7*u^8 + 10*u^9 - 6*u^10 + 8*u^11 - 3*u^12 + 4*u^13 - u^14 + u^15" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.5162e-2, "TimingZeroDimVars":9.501799999999999e-2, "TimingmagmaVCompNormalize":9.639099999999999e-2, "TimingNumberOfSols":0.226708, "TimingIsRadical":3.2473e-2, "TimingArcColoring":7.55e-2, "TimingObstruction":8.3494e-2, "TimingComplexVolumeN":1.8265034e1, "TimingaCuspShapeN":0.197609, "TiminguValues":0.682918, "TiminguPolysN":9.7479e-2, "TiminguPolys":1.159197, "TimingaCuspShape":0.195477, "TimingRepresentationsN":0.25526, "TiminguValues_ij":0.208642, "TiminguPolys_ij_N":0.255093 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":30, "IsRadical":true, "ArcColoring":[ [ "-u", "u + u^3" ], [ 0, "u" ], [ "-2 - 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162*u + 820*u^2 - 2252*u^3 + 1966*u^4 + 1798*u^5 - 2462*u^6 - 3064*u^7 + 2338*u^8 + 5614*u^9 - 1322*u^10 - 8668*u^11 + 658*u^12 + 8824*u^13 + 1292*u^14 - 7404*u^15 - 2248*u^16 + 4329*u^17 + 2595*u^18 - 1703*u^19 - 1945*u^20 + 293*u^21 + 995*u^22 + 69*u^23 - 333*u^24 - 76*u^25 + 86*u^26 + 4*u^27 - 6*u^28 + u^29 + u^30", "1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30", "1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30", "29 - 162*u + 820*u^2 - 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333*u^24 - 76*u^25 + 86*u^26 + 4*u^27 - 6*u^28 + u^29 + u^30", "1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30", "1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30", "29 - 162*u + 820*u^2 - 2252*u^3 + 1966*u^4 + 1798*u^5 - 2462*u^6 - 3064*u^7 + 2338*u^8 + 5614*u^9 - 1322*u^10 - 8668*u^11 + 658*u^12 + 8824*u^13 + 1292*u^14 - 7404*u^15 - 2248*u^16 + 4329*u^17 + 2595*u^18 - 1703*u^19 - 1945*u^20 + 293*u^21 + 995*u^22 + 69*u^23 - 333*u^24 - 76*u^25 + 86*u^26 + 4*u^27 - 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916*u^26 - 196*u^27 + 20*u^28 + 11*u^29 + u^30" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 9}", "{2, 8}", "{2, 9}" ], [ "{2, 4}" ], [ "{1, 2}", "{8, 9}", "{8, 10}" ], [ "{9, 10}" ], [ "{1, 8}", "{2, 10}" ], [ "{1, 10}" ], [ "{1, 5}", "{5, 10}" ], [ "{3, 7}" ], [ "{3, 10}" ], [ "{5, 9}" ], [ "{2, 5}", "{5, 8}" ], [ "{4, 6}" ], [ "{6, 8}" ], [ "{1, 7}" ], [ "{7, 9}" ], [ "{1, 3}", "{1, 4}" ], [ "{4, 5}", "{7, 8}" ], [ "{3, 4}" ], [ "{2, 7}" ], [ "{1, 6}" ], [ "{2, 6}", "{3, 5}", "{3, 6}" ], [ "{3, 9}" ], [ "{4, 7}", "{4, 8}", "{5, 7}" ], [ "{4, 9}" ], [ "{4, 10}" ], [ "{3, 8}" ], [ "{6, 7}" ], [ "{2, 3}", "{5, 6}" ], [ "{6, 10}", "{7, 10}" ], [ "{6, 9}" ] ], "SortedReprnIndices":"{25, 26, 27, 28, 15, 16, 13, 14, 17, 18, 19, 20, 23, 24, 21, 22, 7, 8, 5, 6, 3, 4, 1, 2, 11, 12, 9, 10, 29, 30}", "aCuspShapeN":[ "1.5104185118555312258`4.702035676596991 + 3.9640501452760299951`5.121077516527157*I", "1.5104185118555312258`4.702035676596991 + 3.9640501452760299951`5.121077516527157*I", "1.5104185118555312258`4.702035676596991 - 3.9640501452760299951`5.121077516527157*I", "1.5104185118555312258`4.702035676596991 - 3.9640501452760299951`5.121077516527157*I", "-3.8282224307355322709`5.064376588543433 + 2.6712190513263784702`4.9080889284236635*I", "-3.8282224307355322709`5.064376588543433 + 2.6712190513263784702`4.9080889284236635*I", "-3.8282224307355322709`5.064376588543433 - 2.6712190513263784702`4.9080889284236635*I", "-3.8282224307355322709`5.064376588543433 - 2.6712190513263784702`4.9080889284236635*I", "4.1513303603847113035`5.07196955346781 + 2.7404751436407009334`4.891608125154744*I", "4.1513303603847113035`5.07196955346781 + 2.7404751436407009334`4.891608125154744*I", "4.1513303603847113035`5.07196955346781 - 2.7404751436407009334`4.891608125154744*I", "4.1513303603847113035`5.07196955346781 - 2.7404751436407009334`4.891608125154744*I", "3.0442668720566835032`4.992392306996964 + 3.1509431785313455751`5.007350156859078*I", "3.0442668720566835032`4.992392306996964 + 3.1509431785313455751`5.007350156859078*I", "3.0442668720566835032`4.992392306996964 - 3.1509431785313455751`5.007350156859078*I", "3.0442668720566835032`4.992392306996964 - 3.1509431785313455751`5.007350156859078*I", "-6.1637212882960523384`5.058522472980404 - 4.4767183403566151423`4.919639251392412*I", "-6.1637212882960523384`5.058522472980404 - 4.4767183403566151423`4.919639251392412*I", "-6.1637212882960523384`5.058522472980404 + 4.4767183403566151423`4.919639251392412*I", "-6.1637212882960523384`5.058522472980404 + 4.4767183403566151423`4.919639251392412*I", "1.7130220012249320034`4.892150521802847 + 2.5902708432473567099`5.071732757979258*I", "1.7130220012249320034`4.892150521802847 + 2.5902708432473567099`5.071732757979258*I", "1.7130220012249320034`4.892150521802847 - 2.5902708432473567099`5.071732757979258*I", "1.7130220012249320034`4.892150521802847 - 2.5902708432473567099`5.071732757979258*I", "-0.1453991421309975191`3.444269188749853 - 7.3913478288975413984`5.150430984790457*I", "-0.1453991421309975191`3.444269188749853 - 7.3913478288975413984`5.150430984790457*I", "-0.1453991421309975191`3.444269188749853 + 7.3913478288975413984`5.150430984790457*I", "-0.1453991421309975191`3.444269188749853 + 7.3913478288975413984`5.150430984790457*I", -2.5634, -2.5634 ], "Abelian":false }, { "IdealName":"J10_96_2", "Generators":[ "-1 + b", "3 + 2*a + 2*u", "1 + u + u^2" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.6173e-2, "TimingZeroDimVars":7.197e-2, "TimingmagmaVCompNormalize":7.3383e-2, "TimingNumberOfSols":3.0809000000000003e-2, "TimingIsRadical":1.7820000000000008e-3, "TimingArcColoring":6.6957e-2, "TimingObstruction":1.3720000000000002e-3, "TimingComplexVolumeN":1.464793, "TimingaCuspShapeN":1.1504e-2, "TiminguValues":0.643211, "TiminguPolysN":3.9500000000000006e-4, "TiminguPolys":0.807444, "TimingaCuspShape":9.7331e-2, "TimingRepresentationsN":3.1714000000000006e-2, "TiminguValues_ij":0.154801, "TiminguPolys_ij_N":8.25e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ "-u", "1 + u" ], [ 0, "u" ], [ "-1 - u", "(2 + u)\/2" ], [ "(-3 - 2*u)\/2", 1 ], [ "-2*(1 + u)", 2 ], [ "-1 - u", "(2 - u)\/2" ], [ "(-1 - 2*u)\/2", 1 ], "{1, 0}", [ 1, "1 + u" ], [ "-u", "1 + u" ] ], "Obstruction":1, "ComplexVolumeN":[ "1.64493 - 2.02988*I", "1.64493 + 2.02988*I" ], "uPolysN":[ "1 - u + u^2", "1 + 2*u + u^2", "1\/4 + u\/2 + u^2", "1 + 2*u + u^2", "1 - 2*u + u^2", "1\/4 - u\/2 + u^2", "1 - 2*u + u^2", "1 + u + u^2", "1 + u + u^2", "u^2" ], "uPolys":[ "1 - u + u^2", "(1 + u)^2", "4*(1 + 2*u + 4*u^2)", "(1 + u)^2", "(-1 + u)^2", "4*(1 - 2*u + 4*u^2)", "(-1 + u)^2", "1 + u + u^2", "1 + u + u^2", "u^2" ], "aCuspShape":"2 + u\/4", "RepresentationsN":[ [ "u->-0.5 + 0.866025 I", "a->-1. - 0.866025 I", "b->1." ], [ "u->-0.5 - 0.866025 I", "a->-1. + 0.866025 I", "b->1." ] ], "Epsilon":2.44949, "uPolys_ij_N":[ "4 + 4*u + u^2", "1 + 2*u + u^2", "u^2", "4 + 2*u + u^2", "9\/4 + (3*u)\/2 + u^2", "7\/4 + u\/2 + u^2", "1 + u + u^2", "3\/4 + (3*u)\/2 + u^2", "1\/4 + u\/2 + u^2", "13\/16 + (7*u)\/4 + u^2", "21\/16 + (9*u)\/4 + u^2", "7\/4 + (5*u)\/2 + u^2", "1\/4 - u\/2 + u^2", "1 - u + u^2", "1\/16 + u\/4 + u^2", "1 + u + u^2", "1 - u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "MinRepresentationVolume":[ "{1, 2}", 2.02988 ], "ij_list":[ [ "{2, 5}", "{5, 8}" ], [ "{2, 3}", "{2, 6}", "{3, 5}", "{3, 6}", "{4, 5}", "{4, 7}", "{4, 8}", "{5, 6}", "{5, 7}", "{7, 8}" ], [ "{1, 5}", "{1, 10}", "{5, 10}" ], [ "{5, 9}" ], [ "{4, 9}" ], [ "{3, 9}" ], [ "{1, 8}", "{2, 10}" ], [ "{2, 7}", "{3, 8}", "{6, 9}" ], [ "{1, 6}", "{1, 7}", "{3, 10}", "{4, 10}", "{7, 9}" ], [ "{3, 7}" ], [ "{4, 6}" ], [ "{2, 4}", "{6, 8}" ], [ "{1, 3}", "{1, 4}", "{6, 10}", "{7, 10}" ], [ "{1, 9}", "{2, 8}", "{2, 9}" ], [ "{3, 4}", "{6, 7}" ], [ "{9, 10}" ], [ "{1, 2}", "{8, 9}", "{8, 10}" ] ], "SortedReprnIndices":"{2, 1}", "aCuspShapeN":[ "1.875`5.147638833387445 + 0.2165063509461096617`4.210108201691595*I", "1.875`5.147638833387445 - 0.2165063509461096617`4.210108201691595*I" ], "Abelian":false }, { "IdealName":"abJ10_96_3", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.5479e-2, "TimingZeroDimVars":6.6542e-2, "TimingmagmaVCompNormalize":6.780800000000001e-2, "TimingNumberOfSols":2.7982e-2, "TimingIsRadical":1.845e-3, "TimingArcColoring":6.5188e-2, "TimingObstruction":4.2800000000000005e-4, "TimingComplexVolumeN":0.357536, "TimingaCuspShapeN":4.468e-3, "TiminguValues":0.636736, "TiminguPolysN":8.1e-5, "TiminguPolys":0.834396, "TimingaCuspShape":9.879e-2, "TimingRepresentationsN":2.6886999999999998e-2, "TiminguValues_ij":0.150433, "TiminguPoly_ij":0.15398, "TiminguPolys_ij_N":2.9e-5 }, "ZeroDimensionalVars":[ "b", "a", "v" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "aCuspShape":0, "RepresentationsN":[ [ "v->1.", "a->1.", "b->0" ] ], "Epsilon":"Infinity", "uPolys_ij":[ "u" ], "GeometricComponent":0, "uPolys_ij_N":[ "u" ], "Multiplicity":1, "ij_list":[ [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 5}", "{1, 6}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(1 - u + u^2)*(1 + 2*u + 2*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 6*u^6 + 8*u^7 + 7*u^8 + 10*u^9 + 6*u^10 + 8*u^11 + 3*u^12 + 4*u^13 + u^14 + u^15)^2*(4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18)", "(1 + u)^2*(1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18)*(1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30)", "16*(1 + 2*u + 4*u^2)*(1 + u + 6*u^2 + 4*u^3 + 18*u^4 + 12*u^5 + 36*u^6 + 14*u^7 + 43*u^8 + 5*u^9 + 50*u^10 - 30*u^11 + 33*u^12 - 35*u^13 + 37*u^14 + 2*u^15 + u^16 - 6*u^17 + 4*u^18)*(29 - 162*u + 820*u^2 - 2252*u^3 + 1966*u^4 + 1798*u^5 - 2462*u^6 - 3064*u^7 + 2338*u^8 + 5614*u^9 - 1322*u^10 - 8668*u^11 + 658*u^12 + 8824*u^13 + 1292*u^14 - 7404*u^15 - 2248*u^16 + 4329*u^17 + 2595*u^18 - 1703*u^19 - 1945*u^20 + 293*u^21 + 995*u^22 + 69*u^23 - 333*u^24 - 76*u^25 + 86*u^26 + 4*u^27 - 6*u^28 + u^29 + u^30)", "(1 + u)^2*(1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18)*(1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30)", "(-1 + u)^2*(1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18)*(1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30)", "16*(1 - 2*u + 4*u^2)*(1 + u + 6*u^2 + 4*u^3 + 18*u^4 + 12*u^5 + 36*u^6 + 14*u^7 + 43*u^8 + 5*u^9 + 50*u^10 - 30*u^11 + 33*u^12 - 35*u^13 + 37*u^14 + 2*u^15 + u^16 - 6*u^17 + 4*u^18)*(29 - 162*u + 820*u^2 - 2252*u^3 + 1966*u^4 + 1798*u^5 - 2462*u^6 - 3064*u^7 + 2338*u^8 + 5614*u^9 - 1322*u^10 - 8668*u^11 + 658*u^12 + 8824*u^13 + 1292*u^14 - 7404*u^15 - 2248*u^16 + 4329*u^17 + 2595*u^18 - 1703*u^19 - 1945*u^20 + 293*u^21 + 995*u^22 + 69*u^23 - 333*u^24 - 76*u^25 + 86*u^26 + 4*u^27 - 6*u^28 + u^29 + u^30)", "(-1 + u)^2*(1 - u + 9*u^2 - 17*u^3 + 42*u^4 - 66*u^5 + 96*u^6 - 126*u^7 + 137*u^8 - 137*u^9 + 125*u^10 - 97*u^11 + 73*u^12 - 47*u^13 + 26*u^14 - 15*u^15 + 6*u^16 - 2*u^17 + u^18)*(1 + 2*u + 2*u^2 - 8*u^3 - 28*u^4 - 42*u^5 + 2*u^6 + 252*u^7 + 912*u^8 + 2216*u^9 + 4360*u^10 + 7298*u^11 + 10754*u^12 + 14202*u^13 + 16954*u^14 + 18486*u^15 + 18486*u^16 + 17013*u^17 + 14469*u^18 + 11359*u^19 + 8249*u^20 + 5531*u^21 + 3411*u^22 + 1935*u^23 + 997*u^24 + 466*u^25 + 194*u^26 + 70*u^27 + 22*u^28 + 5*u^29 + u^30)", "(1 + u + u^2)*(1 + 2*u + 2*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 6*u^6 + 8*u^7 + 7*u^8 + 10*u^9 + 6*u^10 + 8*u^11 + 3*u^12 + 4*u^13 + u^14 + u^15)^2*(4 - 3*u + u^2 - 7*u^3 + 8*u^4 - 6*u^5 + 2*u^6 - 4*u^7 + 8*u^8 + 5*u^9 + 11*u^10 + 3*u^11 + 12*u^12 + u^13 + 9*u^14 + 4*u^16 + u^18)", "(1 + u + u^2)*(-1 + 4*u^2 + 12*u^3 + 26*u^4 + 52*u^5 + 86*u^6 + 118*u^7 + 143*u^8 + 156*u^9 + 146*u^10 + 110*u^11 + 63*u^12 + 26*u^13 + 7*u^14 + u^15)^2*(16 - u + 23*u^2 - 53*u^3 + 24*u^4 + 74*u^5 + 290*u^6 + 396*u^7 + 440*u^8 + 395*u^9 + 393*u^10 + 421*u^11 + 404*u^12 + 319*u^13 + 199*u^14 + 96*u^15 + 34*u^16 + 8*u^17 + u^18)", "u^2*(-1 + 2*u - 2*u^2 - 2*u^3 + 6*u^4 - 8*u^6 + 2*u^7 + 9*u^8 - 4*u^9 - 6*u^10 + 4*u^11 + 3*u^12 - 2*u^13 - u^14 + u^15)^2*(32 + 120*u + 158*u^2 + 89*u^3 + 184*u^4 + 466*u^5 + 492*u^6 + 132*u^7 - 214*u^8 - 304*u^9 - 66*u^10 + 97*u^11 + 72*u^12 - 10*u^13 - 26*u^14 - 11*u^15 + 2*u^16 + 3*u^17 + u^18)" ], "RileyPolyC":[ "(1 + y + y^2)*(-1 + 4*y^2 + 12*y^3 + 26*y^4 + 52*y^5 + 86*y^6 + 118*y^7 + 143*y^8 + 156*y^9 + 146*y^10 + 110*y^11 + 63*y^12 + 26*y^13 + 7*y^14 + y^15)^2*(16 - y + 23*y^2 - 53*y^3 + 24*y^4 + 74*y^5 + 290*y^6 + 396*y^7 + 440*y^8 + 395*y^9 + 393*y^10 + 421*y^11 + 404*y^12 + 319*y^13 + 199*y^14 + 96*y^15 + 34*y^16 + 8*y^17 + y^18)", "(-1 + y)^2*(1 + 17*y + 131*y^2 + 527*y^3 + 1270*y^4 + 1866*y^5 + 1636*y^6 + 818*y^7 + 425*y^8 + 629*y^9 + 671*y^10 + 279*y^11 - 67*y^12 - 97*y^13 + 4*y^14 + 45*y^15 + 28*y^16 + 8*y^17 + y^18)*(1 - 20*y^2 - 4*y^3 + 936*y^4 + 5660*y^5 + 15312*y^6 + 19012*y^7 + 1204*y^8 - 19042*y^9 + 8922*y^10 + 70174*y^11 + 55446*y^12 - 68948*y^13 - 149596*y^14 - 45102*y^15 + 147564*y^16 + 213403*y^17 + 99763*y^18 - 52105*y^19 - 109129*y^20 - 71551*y^21 - 13547*y^22 + 16247*y^23 + 18021*y^24 + 10052*y^25 + 3736*y^26 + 970*y^27 + 172*y^28 + 19*y^29 + y^30)", "256*(1 + 4*y + 16*y^2)*(1 + 11*y + 64*y^2 + 248*y^3 + 718*y^4 + 1646*y^5 + 3194*y^6 + 5360*y^7 + 7939*y^8 + 9679*y^9 + 9366*y^10 + 6236*y^11 + 3211*y^12 + 1841*y^13 + 1615*y^14 - 86*y^15 + 321*y^16 - 28*y^17 + 16*y^18)*(841 + 21316*y + 56780*y^2 - 1407508*y^3 + 7068536*y^4 - 21137064*y^5 + 46619712*y^6 - 81314096*y^7 + 119468644*y^8 - 156188354*y^9 + 190735142*y^10 - 220282030*y^11 + 237791338*y^12 - 233301600*y^13 + 202727844*y^14 - 153946502*y^15 + 102553544*y^16 - 61126217*y^17 + 33860519*y^18 - 18310713*y^19 + 9877819*y^20 - 5150907*y^21 + 2442181*y^22 - 988105*y^23 + 322109*y^24 - 80020*y^25 + 13852*y^26 - 1562*y^27 + 200*y^28 - 13*y^29 + y^30)", "(-1 + y)^2*(1 + 17*y + 131*y^2 + 527*y^3 + 1270*y^4 + 1866*y^5 + 1636*y^6 + 818*y^7 + 425*y^8 + 629*y^9 + 671*y^10 + 279*y^11 - 67*y^12 - 97*y^13 + 4*y^14 + 45*y^15 + 28*y^16 + 8*y^17 + y^18)*(1 - 20*y^2 - 4*y^3 + 936*y^4 + 5660*y^5 + 15312*y^6 + 19012*y^7 + 1204*y^8 - 19042*y^9 + 8922*y^10 + 70174*y^11 + 55446*y^12 - 68948*y^13 - 149596*y^14 - 45102*y^15 + 147564*y^16 + 213403*y^17 + 99763*y^18 - 52105*y^19 - 109129*y^20 - 71551*y^21 - 13547*y^22 + 16247*y^23 + 18021*y^24 + 10052*y^25 + 3736*y^26 + 970*y^27 + 172*y^28 + 19*y^29 + y^30)", "(-1 + y)^2*(1 + 17*y + 131*y^2 + 527*y^3 + 1270*y^4 + 1866*y^5 + 1636*y^6 + 818*y^7 + 425*y^8 + 629*y^9 + 671*y^10 + 279*y^11 - 67*y^12 - 97*y^13 + 4*y^14 + 45*y^15 + 28*y^16 + 8*y^17 + y^18)*(1 - 20*y^2 - 4*y^3 + 936*y^4 + 5660*y^5 + 15312*y^6 + 19012*y^7 + 1204*y^8 - 19042*y^9 + 8922*y^10 + 70174*y^11 + 55446*y^12 - 68948*y^13 - 149596*y^14 - 45102*y^15 + 147564*y^16 + 213403*y^17 + 99763*y^18 - 52105*y^19 - 109129*y^20 - 71551*y^21 - 13547*y^22 + 16247*y^23 + 18021*y^24 + 10052*y^25 + 3736*y^26 + 970*y^27 + 172*y^28 + 19*y^29 + y^30)", "256*(1 + 4*y + 16*y^2)*(1 + 11*y + 64*y^2 + 248*y^3 + 718*y^4 + 1646*y^5 + 3194*y^6 + 5360*y^7 + 7939*y^8 + 9679*y^9 + 9366*y^10 + 6236*y^11 + 3211*y^12 + 1841*y^13 + 1615*y^14 - 86*y^15 + 321*y^16 - 28*y^17 + 16*y^18)*(841 + 21316*y + 56780*y^2 - 1407508*y^3 + 7068536*y^4 - 21137064*y^5 + 46619712*y^6 - 81314096*y^7 + 119468644*y^8 - 156188354*y^9 + 190735142*y^10 - 220282030*y^11 + 237791338*y^12 - 233301600*y^13 + 202727844*y^14 - 153946502*y^15 + 102553544*y^16 - 61126217*y^17 + 33860519*y^18 - 18310713*y^19 + 9877819*y^20 - 5150907*y^21 + 2442181*y^22 - 988105*y^23 + 322109*y^24 - 80020*y^25 + 13852*y^26 - 1562*y^27 + 200*y^28 - 13*y^29 + y^30)", "(-1 + y)^2*(1 + 17*y + 131*y^2 + 527*y^3 + 1270*y^4 + 1866*y^5 + 1636*y^6 + 818*y^7 + 425*y^8 + 629*y^9 + 671*y^10 + 279*y^11 - 67*y^12 - 97*y^13 + 4*y^14 + 45*y^15 + 28*y^16 + 8*y^17 + y^18)*(1 - 20*y^2 - 4*y^3 + 936*y^4 + 5660*y^5 + 15312*y^6 + 19012*y^7 + 1204*y^8 - 19042*y^9 + 8922*y^10 + 70174*y^11 + 55446*y^12 - 68948*y^13 - 149596*y^14 - 45102*y^15 + 147564*y^16 + 213403*y^17 + 99763*y^18 - 52105*y^19 - 109129*y^20 - 71551*y^21 - 13547*y^22 + 16247*y^23 + 18021*y^24 + 10052*y^25 + 3736*y^26 + 970*y^27 + 172*y^28 + 19*y^29 + y^30)", "(1 + y + y^2)*(-1 + 4*y^2 + 12*y^3 + 26*y^4 + 52*y^5 + 86*y^6 + 118*y^7 + 143*y^8 + 156*y^9 + 146*y^10 + 110*y^11 + 63*y^12 + 26*y^13 + 7*y^14 + y^15)^2*(16 - y + 23*y^2 - 53*y^3 + 24*y^4 + 74*y^5 + 290*y^6 + 396*y^7 + 440*y^8 + 395*y^9 + 393*y^10 + 421*y^11 + 404*y^12 + 319*y^13 + 199*y^14 + 96*y^15 + 34*y^16 + 8*y^17 + y^18)", "(1 + y + y^2)*(-1 + 8*y + 36*y^2 + 108*y^3 + 170*y^4 + 212*y^5 + 142*y^6 + 110*y^7 - 13*y^8 + 68*y^9 + 22*y^10 + 50*y^11 + 19*y^12 + 14*y^13 + 3*y^14 + y^15)^2*(256 + 735*y + 1191*y^2 + 7723*y^3 + 36632*y^4 + 84026*y^5 + 120330*y^6 + 129004*y^7 + 110032*y^8 + 64831*y^9 + 28469*y^10 + 5965*y^11 - 644*y^12 - 517*y^13 - 125*y^14 + 20*y^15 + 18*y^16 + 4*y^17 + y^18)", "y^2*(-1 + 12*y^3 - 42*y^4 + 96*y^5 - 158*y^6 + 206*y^7 - 221*y^8 + 196*y^9 - 146*y^10 + 90*y^11 - 45*y^12 + 18*y^13 - 5*y^14 + y^15)^2*(1024 - 4288*y + 15380*y^2 - 30129*y^3 + 61004*y^4 - 58484*y^5 + 54872*y^6 + 37262*y^7 - 6468*y^8 - 17242*y^9 + 20342*y^10 - 11421*y^11 + 3204*y^12 - 578*y^13 + 30*y^14 - 21*y^15 + 18*y^16 - 5*y^17 + y^18)" ] }, "GeometricRepresentation":[ 1.51779e1, [ "J10_96_0", 1, "{13, 14}" ] ] } }