{ "Index":149, "Name":"10_65", "RolfsenName":"10_65", "DTname":"10a_42", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{8, -16, -14, 10, 2, -18, -20, -4, -6, -12}", "Acode":"{5, -9, -8, 6, 2, -10, -1, -3, -4, -7}", "PDcode":[ "{1, 9, 2, 8}", "{3, 16, 4, 17}", "{5, 14, 6, 15}", "{7, 11, 8, 10}", "{9, 3, 10, 2}", "{11, 18, 12, 19}", "{13, 20, 14, 1}", "{15, 4, 16, 5}", "{17, 6, 18, 7}", "{19, 12, 20, 13}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{2, 9, 6}", [], [ "{2, -9, 3, 1}", "{6, 2, 5, 2}", "{2, 5, 1, 2}", "{9, -3, 8, 2}", "{3, -8, 4, 1}", "{9, -4, 10, 1}", "{8, -1, 7, 2}" ], "{4, 6}", "{10}", 10 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a - b + a*b + u^2 + 2*a^2*u^2 + a*b*u^2 + a^2*u^4", "-b + b^2 - 2*u^2 + 2*a*b*u^2 + b^2*u^2 - u^4 + a*b*u^4", "a + 2*u - 2*a*b*u - 3*b^2*u + a^2*b^2*u + 3*a*b^3*u + 2*b^4*u - a*u^2 + b*u^2 + u^3 - 2*a*b*u^3 - 2*b^2*u^3 + a^2*b^2*u^3 + 2*a*b^3*u^3 + b^4*u^3 + 4*b*u^4 + 6*a*u^6 + 6*b*u^6 + 9*a*u^8 + 4*b*u^8 + 5*a*u^10 + b*u^10 + a*u^12", "b - u - b^2*u + a*b^3*u + 2*b^4*u - a*u^2 + b*u^2 - u^3 - b^2*u^3 + a*b^3*u^3 + b^4*u^3 + 4*a*u^4 + 2*a*u^6 - 6*b*u^6 - 10*a*u^8 - 9*b*u^8 - 13*a*u^10 - 5*b*u^10 - 6*a*u^12 - b*u^12 - a*u^14" ], "TimingForPrimaryIdeals":0.127737 }, "v":{ "CheckEq":[ "1 - a - b + a*b", "-b + b^2", "b - b^4*v", "a - v + b^2*v - a*b^3*v - b^4*v + b*v^2" ], "TimingForPrimaryIdeals":0.100188 }, "PrimaryIdeals":[ { "IdealName":"J10_65_0", "Generators":[ "2 + 4*b - 6*u + 8*u^2 + 24*u^3 - 41*u^4 + 66*u^5 - 105*u^6 + 50*u^7 - 70*u^8 + 20*u^9 + 30*u^10 + 64*u^11 - 12*u^12 + 178*u^13 - 225*u^14 + 246*u^15 - 346*u^16 + 190*u^17 - 253*u^18 + 84*u^19 - 102*u^20 + 20*u^21 - 22*u^22 + 2*u^23 - 2*u^24", "-6 + 4*a + 8*u - 10*u^2 - 14*u^3 + 41*u^4 - 39*u^5 + 101*u^6 - 33*u^7 + 44*u^8 - 35*u^9 - 78*u^10 - 69*u^11 - 26*u^12 - 114*u^13 + 211*u^14 - 131*u^15 + 344*u^16 - 96*u^17 + 253*u^18 - 42*u^19 + 102*u^20 - 10*u^21 + 22*u^22 - u^23 + 2*u^24", "2 - 4*u + 2*u^2 + 16*u^3 - 51*u^4 + 79*u^5 - 101*u^6 + 101*u^7 - 62*u^8 + 45*u^9 - 8*u^10 + 16*u^11 - 84*u^12 + 147*u^13 - 275*u^14 + 339*u^15 - 362*u^16 + 358*u^17 - 255*u^18 + 210*u^19 - 102*u^20 + 71*u^21 - 22*u^22 + 13*u^23 - 2*u^24 + u^25" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":6.969800000000001e-2, "TimingZeroDimVars":8.0008e-2, "TimingmagmaVCompNormalize":8.134000000000001e-2, "TimingNumberOfSols":0.262564, "TimingIsRadical":1.7453e-2, "TimingArcColoring":6.9798e-2, "TimingObstruction":6.3228e-2, "TimingComplexVolumeN":2.392118e1, "TimingaCuspShapeN":0.170445, "TiminguValues":0.674159, "TiminguPolysN":7.96e-2, "TiminguPolys":0.925789, "TimingaCuspShape":0.132486, "TimingRepresentationsN":0.247906, "TiminguValues_ij":0.193989, "TiminguPoly_ij":2.291174, "TiminguPolys_ij_N":0.139251 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":25, "IsRadical":true, "ArcColoring":[ [ "(6 - 12*u + 8*u^2 + 20*u^3 - 79*u^4 + 107*u^5 - 148*u^6 + 113*u^7 - 64*u^8 + 36*u^9 + 47*u^10 + 26*u^11 - 76*u^12 + 210*u^13 - 401*u^14 + 403*u^15 - 531*u^16 + 354*u^17 - 352*u^18 + 165*u^19 - 129*u^20 + 40*u^21 - 25*u^22 + 4*u^23 - 2*u^24)\/4", "(-4 - 2*u + 2*u^2 - 14*u^3 + 32*u^4 - 15*u^5 + 34*u^6 - 10*u^7 - 5*u^8 - 23*u^9 - 23*u^10 - 46*u^11 + 28*u^12 - 68*u^13 + 90*u^14 - 63*u^15 + 86*u^16 - 33*u^17 + 41*u^18 - 9*u^19 + 10*u^20 - u^21 + u^22)\/4" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-2*u^2 - u^4" ], [ "(4 - 2*u + 2*u^2 - 10*u^3 - 27*u^5 + 4*u^6 - 17*u^7 + 26*u^8 + 15*u^9 + 48*u^10 + 5*u^11 + 38*u^12 - 64*u^13 + 14*u^14 - 115*u^15 + 2*u^16 - 94*u^17 - 42*u^19 - 10*u^21 - u^23)\/4", "(-2 + 6*u - 8*u^2 - 24*u^3 + 41*u^4 - 66*u^5 + 105*u^6 - 50*u^7 + 70*u^8 - 20*u^9 - 30*u^10 - 64*u^11 + 12*u^12 - 178*u^13 + 225*u^14 - 246*u^15 + 346*u^16 - 190*u^17 + 253*u^18 - 84*u^19 + 102*u^20 - 20*u^21 + 22*u^22 - 2*u^23 + 2*u^24)\/4" ], [ "(6 - 8*u + 10*u^2 + 14*u^3 - 41*u^4 + 39*u^5 - 101*u^6 + 33*u^7 - 44*u^8 + 35*u^9 + 78*u^10 + 69*u^11 + 26*u^12 + 114*u^13 - 211*u^14 + 131*u^15 - 344*u^16 + 96*u^17 - 253*u^18 + 42*u^19 - 102*u^20 + 10*u^21 - 22*u^22 + u^23 - 2*u^24)\/4", "(-2 + 6*u - 8*u^2 - 24*u^3 + 41*u^4 - 66*u^5 + 105*u^6 - 50*u^7 + 70*u^8 - 20*u^9 - 30*u^10 - 64*u^11 + 12*u^12 - 178*u^13 + 225*u^14 - 246*u^15 + 346*u^16 - 190*u^17 + 253*u^18 - 84*u^19 + 102*u^20 - 20*u^21 + 22*u^22 - 2*u^23 + 2*u^24)\/4" ], [ "(2 - 6*u + 8*u^2 - 6*u^3 + 5*u^4 - 10*u^5 - 7*u^6 - 8*u^7 - 8*u^8 - 2*u^9 + 18*u^10 + 36*u^12 + 25*u^14 + 8*u^16 + u^18)\/4", "(2*u - 2*u^2 - u^4 + 3*u^5 + 8*u^7 + 5*u^9 + u^11)\/2" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "u + 2*u^3 + u^5", "u - 2*u^3 - 3*u^5 - u^7" ] ], "Obstruction":-1, "ComplexVolumeN":[ "4.11705 + 3.30443*I", "4.11705 - 3.30443*I", "4.98459 + 2.21818*I", "4.98459 - 2.21818*I", "5.88761 - 7.92352*I", "5.88761 + 7.92352*I", "-2.09053 - 1.4273*I", "-2.09053 + 1.4273*I", "7.64625 + 2.15851*I", "7.64625 - 2.15851*I", "0.03499 + 4.24383*I", "0.03499 - 4.24383*I", "2.85055 + 6.2949*I", "2.85055 - 6.2949*I", "-5.065 + 7.73599*I", "-5.065 - 7.73599*I", "-7.43417 + 0.37131*I", "-7.43417 - 0.37131*I", "-1.52585 - 1.04428*I", "-1.52585 + 1.04428*I", "0.44144 - 12.0765*I", "0.44144 + 12.0765*I", "-3.72172 + 1.83282*I", "-3.72172 - 1.83282*I", 0.909052 ], "uPolysN":[ "-3 - u + 16*u^2 + 21*u^3 - 23*u^4 - 52*u^5 + 14*u^6 + 81*u^7 + 12*u^8 - 86*u^9 - 32*u^10 + 83*u^11 + 46*u^12 - 73*u^13 - 58*u^14 + 55*u^15 + 62*u^16 - 27*u^17 - 50*u^18 + 5*u^19 + 28*u^20 + 4*u^21 - 10*u^22 - 3*u^23 + 2*u^24 + u^25", "-2 - 4*u - 2*u^2 + 16*u^3 + 51*u^4 + 79*u^5 + 101*u^6 + 101*u^7 + 62*u^8 + 45*u^9 + 8*u^10 + 16*u^11 + 84*u^12 + 147*u^13 + 275*u^14 + 339*u^15 + 362*u^16 + 358*u^17 + 255*u^18 + 210*u^19 + 102*u^20 + 71*u^21 + 22*u^22 + 13*u^23 + 2*u^24 + u^25", "-2 - 4*u - 2*u^2 + 16*u^3 + 51*u^4 + 79*u^5 + 101*u^6 + 101*u^7 + 62*u^8 + 45*u^9 + 8*u^10 + 16*u^11 + 84*u^12 + 147*u^13 + 275*u^14 + 339*u^15 + 362*u^16 + 358*u^17 + 255*u^18 + 210*u^19 + 102*u^20 + 71*u^21 + 22*u^22 + 13*u^23 + 2*u^24 + u^25", "9 + 97*u + 436*u^2 + 1365*u^3 + 3251*u^4 + 6346*u^5 + 10546*u^6 + 15509*u^7 + 20644*u^8 + 25326*u^9 + 28850*u^10 + 30709*u^11 + 30594*u^12 + 28565*u^13 + 24938*u^14 + 20287*u^15 + 15266*u^16 + 10521*u^17 + 6542*u^18 + 3605*u^19 + 1720*u^20 + 692*u^21 + 226*u^22 + 57*u^23 + 10*u^24 + u^25", "-3 - u + 16*u^2 + 21*u^3 - 23*u^4 - 52*u^5 + 14*u^6 + 81*u^7 + 12*u^8 - 86*u^9 - 32*u^10 + 83*u^11 + 46*u^12 - 73*u^13 - 58*u^14 + 55*u^15 + 62*u^16 - 27*u^17 - 50*u^18 + 5*u^19 + 28*u^20 + 4*u^21 - 10*u^22 - 3*u^23 + 2*u^24 + u^25", "-3 - 5*u - 12*u^2 + 9*u^3 + 25*u^4 + 60*u^5 + 6*u^6 - 87*u^7 - 24*u^8 + 66*u^9 - 76*u^10 - 133*u^11 + 110*u^12 + 239*u^13 + 90*u^14 - 281*u^15 - 274*u^16 + 237*u^17 + 234*u^18 - 139*u^19 - 100*u^20 + 52*u^21 + 22*u^22 - 11*u^23 - 2*u^24 + u^25", "-3 - 5*u - 12*u^2 + 9*u^3 + 25*u^4 + 60*u^5 + 6*u^6 - 87*u^7 - 24*u^8 + 66*u^9 - 76*u^10 - 133*u^11 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46*u^12 - 73*u^13 - 58*u^14 + 55*u^15 + 62*u^16 - 27*u^17 - 50*u^18 + 5*u^19 + 28*u^20 + 4*u^21 - 10*u^22 - 3*u^23 + 2*u^24 + u^25", "-2 - 4*u - 2*u^2 + 16*u^3 + 51*u^4 + 79*u^5 + 101*u^6 + 101*u^7 + 62*u^8 + 45*u^9 + 8*u^10 + 16*u^11 + 84*u^12 + 147*u^13 + 275*u^14 + 339*u^15 + 362*u^16 + 358*u^17 + 255*u^18 + 210*u^19 + 102*u^20 + 71*u^21 + 22*u^22 + 13*u^23 + 2*u^24 + u^25", "-2 - 4*u - 2*u^2 + 16*u^3 + 51*u^4 + 79*u^5 + 101*u^6 + 101*u^7 + 62*u^8 + 45*u^9 + 8*u^10 + 16*u^11 + 84*u^12 + 147*u^13 + 275*u^14 + 339*u^15 + 362*u^16 + 358*u^17 + 255*u^18 + 210*u^19 + 102*u^20 + 71*u^21 + 22*u^22 + 13*u^23 + 2*u^24 + u^25", "9 + 97*u + 436*u^2 + 1365*u^3 + 3251*u^4 + 6346*u^5 + 10546*u^6 + 15509*u^7 + 20644*u^8 + 25326*u^9 + 28850*u^10 + 30709*u^11 + 30594*u^12 + 28565*u^13 + 24938*u^14 + 20287*u^15 + 15266*u^16 + 10521*u^17 + 6542*u^18 + 3605*u^19 + 1720*u^20 + 692*u^21 + 226*u^22 + 57*u^23 + 10*u^24 + u^25", "-3 - u + 16*u^2 + 21*u^3 - 23*u^4 - 52*u^5 + 14*u^6 + 81*u^7 + 12*u^8 - 86*u^9 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115*u^11 - 808*u^12 + 629*u^13 + 194*u^14 - 365*u^15 + 66*u^16 + 176*u^17 - 126*u^18 + 28*u^19 + 2*u^20 + 3*u^21 + u^23 - 2*u^24 + u^25", "-3 - 5*u - 12*u^2 + 9*u^3 + 25*u^4 + 60*u^5 + 6*u^6 - 87*u^7 - 24*u^8 + 66*u^9 - 76*u^10 - 133*u^11 + 110*u^12 + 239*u^13 + 90*u^14 - 281*u^15 - 274*u^16 + 237*u^17 + 234*u^18 - 139*u^19 - 100*u^20 + 52*u^21 + 22*u^22 - 11*u^23 - 2*u^24 + u^25" ], "aCuspShape":"4 - 2*(-2 + 7*u - 12*u^2 - 9*u^3 + 41*u^4 - 50*u^5 + 89*u^6 - 55*u^7 + 37*u^8 - 28*u^9 - 40*u^10 - 16*u^11 + 25*u^12 - 93*u^13 + 215*u^14 - 190*u^15 + 292*u^16 - 173*u^17 + 192*u^18 - 82*u^19 + 69*u^20 - 20*u^21 + 13*u^22 - 2*u^23 + u^24)", "RepresentationsN":[ [ "u->-0.498082 + 0.831864 I", "a->-0.210637 + 0.23402 I", "b->0.969881 - 0.673526 I" ], [ "u->-0.498082 - 0.831864 I", "a->-0.210637 - 0.23402 I", "b->0.969881 + 0.673526 I" ], [ "u->0.404191 + 1.02688 I", "a->0.433491 + 0.988124 I", "b->0.686093 - 0.799024 I" ], [ "u->0.404191 - 1.02688 I", "a->0.433491 - 0.988124 I", "b->0.686093 + 0.799024 I" ], [ "u->-0.814894 + 0.282583 I", "a->0.16059 + 1.77022 I", "b->-1.09679 - 0.679709 I" ], [ "u->-0.814894 - 0.282583 I", "a->0.16059 - 1.77022 I", "b->-1.09679 + 0.679709 I" ], [ "u->0.045104 + 1.16988 I", "a->-0.509198 - 0.822038 I", "b->0.611097 + 0.519026 I" ], [ "u->0.045104 - 1.16988 I", "a->-0.509198 + 0.822038 I", "b->0.611097 - 0.519026 I" ], [ "u->0.809668 + 0.163514 I", "a->0.706041 + 1.18416 I", "b->-0.516228 - 0.881834 I" ], [ "u->0.809668 - 0.163514 I", "a->0.706041 - 1.18416 I", "b->-0.516228 + 0.881834 I" ], [ "u->0.678633 + 0.221561 I", "a->0.45061 - 2.11636 I", "b->-0.976768 + 0.54077 I" ], [ "u->0.678633 - 0.221561 I", "a->0.45061 + 2.11636 I", "b->-0.976768 - 0.54077 I" ], [ "u->0.3394 + 1.35896 I", "a->-0.547153 - 0.23067 I", "b->0.378354 + 0.934639 I" ], [ "u->0.3394 - 1.35896 I", "a->-0.547153 + 0.23067 I", "b->0.378354 - 0.934639 I" ], [ "u->0.27688 + 1.38438 I", "a->0.88077 + 1.63584 I", "b->1.09016 - 0.576724 I" ], [ "u->0.27688 - 1.38438 I", 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2306*u^22 + 313*u^23 - 26*u^24 + u^25", "81 + 1561*u - 16196*u^2 + 69649*u^3 - 196621*u^4 + 433570*u^5 - 784458*u^6 + 1211053*u^7 - 1616776*u^8 + 1885570*u^9 - 1930758*u^10 + 1743249*u^11 - 1394950*u^12 + 997389*u^13 - 645754*u^14 + 385971*u^15 - 216154*u^16 + 113597*u^17 - 54786*u^18 + 23465*u^19 - 8584*u^20 + 2596*u^21 - 622*u^22 + 113*u^23 - 14*u^24 + u^25", "-43 - 233*u + 756*u^2 + 11067*u^3 + 47885*u^4 + 116958*u^5 + 177548*u^6 + 156221*u^7 + 34622*u^8 - 97070*u^9 - 126490*u^10 - 49879*u^11 + 33624*u^12 + 51503*u^13 + 23100*u^14 - 1983*u^15 - 7458*u^16 - 4237*u^17 - 1080*u^18 + 645*u^19 + 642*u^20 + 54*u^21 - 86*u^22 - 17*u^23 + 4*u^24 + u^25", "-109 + 911*u - 3978*u^2 + 11529*u^3 - 24021*u^4 + 41076*u^5 - 61466*u^6 + 72453*u^7 - 77106*u^8 + 75016*u^9 - 55468*u^10 + 50323*u^11 - 24880*u^12 + 27479*u^13 - 4030*u^14 + 13613*u^15 + 2414*u^16 + 5619*u^17 + 1768*u^18 + 1613*u^19 + 502*u^20 + 286*u^21 + 70*u^22 + 27*u^23 + 4*u^24 + u^25", "9 + 97*u + 436*u^2 + 1365*u^3 + 3251*u^4 + 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3127*u^17 + 13714*u^18 - 2075*u^19 - 2300*u^20 + 478*u^21 + 158*u^22 - 37*u^23 - 4*u^24 + u^25", "-59 - 363*u - 82*u^2 + 1523*u^3 - 333*u^4 + 1198*u^5 - 3242*u^6 + 1899*u^7 - 5628*u^8 + 9364*u^9 - 6820*u^10 + 13009*u^11 - 17414*u^12 + 15693*u^13 - 19154*u^14 + 13863*u^15 - 6524*u^16 + 4825*u^17 - 2164*u^18 + 793*u^19 - 422*u^20 + 110*u^21 - 34*u^22 + 15*u^23 + u^25", "-3 - u + 16*u^2 + 21*u^3 - 23*u^4 - 52*u^5 + 14*u^6 + 81*u^7 + 12*u^8 - 86*u^9 - 32*u^10 + 83*u^11 + 46*u^12 - 73*u^13 - 58*u^14 + 55*u^15 + 62*u^16 - 27*u^17 - 50*u^18 + 5*u^19 + 28*u^20 + 4*u^21 - 10*u^22 - 3*u^23 + 2*u^24 + u^25", "-3 - u - 38*u^2 - 325*u^3 - 133*u^4 + 2798*u^5 + 5424*u^6 - 2379*u^7 - 12400*u^8 + 2078*u^9 + 19778*u^10 - 3337*u^11 - 19696*u^12 + 6385*u^13 + 11476*u^14 - 4623*u^15 - 4992*u^16 + 2361*u^17 + 1560*u^18 - 819*u^19 - 310*u^20 + 168*u^21 + 36*u^22 - 19*u^23 - 2*u^24 + u^25", "-41 - 239*u - 983*u^2 - 2148*u^3 - 1738*u^4 + 1365*u^5 + 9377*u^6 + 19263*u^7 + 2315*u^8 + 33160*u^9 - 59719*u^10 + 42504*u^11 - 96401*u^12 + 61574*u^13 - 63946*u^14 + 55543*u^15 - 24055*u^16 + 25127*u^17 - 6240*u^18 + 5727*u^19 - 926*u^20 + 682*u^21 - 69*u^22 + 41*u^23 - 2*u^24 + u^25", "-27 + 189*u + 1227*u^2 + 4280*u^3 + 10540*u^4 + 19039*u^5 + 18015*u^6 - 3615*u^7 - 27511*u^8 - 13038*u^9 + 26749*u^10 + 33064*u^11 - 1163*u^12 - 17130*u^13 - 3964*u^14 + 5433*u^15 + 1287*u^16 - 871*u^17 + 8*u^18 + 125*u^19 - 176*u^20 + 18*u^21 + 35*u^22 - 5*u^23 - 4*u^24 + u^25", "-3 - 5*u - 12*u^2 + 9*u^3 + 25*u^4 + 60*u^5 + 6*u^6 - 87*u^7 - 24*u^8 + 66*u^9 - 76*u^10 - 133*u^11 + 110*u^12 + 239*u^13 + 90*u^14 - 281*u^15 - 274*u^16 + 237*u^17 + 234*u^18 - 139*u^19 - 100*u^20 + 52*u^21 + 22*u^22 - 11*u^23 - 2*u^24 + u^25", "-1 - 17*u - 86*u^2 - 33*u^3 - 1353*u^4 + 100*u^5 - 2942*u^6 + 1869*u^7 - 1960*u^8 + 4030*u^9 - 332*u^10 + 4657*u^11 + 486*u^12 + 4193*u^13 + 608*u^14 + 2845*u^15 + 338*u^16 + 1291*u^17 + 86*u^18 + 377*u^19 + 66*u^21 - 4*u^22 + 7*u^23 + u^25" ], "GeometricComponent":"{21, 22}", "uPolys_ij_N":[ "-2 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+ 3*u^21 + 14*u^22 + 15*u^23 + 6*u^24 + u^25", "-2722 + 3340*u - 3098*u^2 + 35714*u^3 + 16437*u^4 + 105099*u^5 + 12631*u^6 + 326173*u^7 - 342588*u^8 + 727951*u^9 - 891542*u^10 + 1535892*u^11 - 1920172*u^12 + 1717801*u^13 - 1081711*u^14 + 509777*u^15 - 176218*u^16 + 40498*u^17 - 2881*u^18 - 1680*u^19 + 598*u^20 - 147*u^21 + 40*u^22 + 5*u^23 - 6*u^24 + u^25", "-256 - 2624*u - 5232*u^2 + 44532*u^3 + 218900*u^4 + 165752*u^5 - 214608*u^6 + 1203965*u^7 - 638936*u^8 + 1220842*u^9 - 999142*u^10 + 1683603*u^11 - 1196406*u^12 + 814323*u^13 - 287988*u^14 + 136651*u^15 - 45028*u^16 + 32300*u^17 - 10218*u^18 + 3648*u^19 + 50*u^20 - 87*u^21 + 70*u^22 + 7*u^23 - 2*u^24 + u^25", "-28438 + 80716*u + 8000*u^2 + 510072*u^3 + 248127*u^4 + 1238233*u^5 + 358958*u^6 + 1585914*u^7 + 100617*u^8 + 1349749*u^9 - 173752*u^10 + 858536*u^11 - 246226*u^12 + 431538*u^13 - 168972*u^14 + 173340*u^15 - 74508*u^16 + 52062*u^17 - 20408*u^18 + 10128*u^19 - 3149*u^20 + 1109*u^21 - 242*u^22 + 58*u^23 - 7*u^24 + u^25", "-137 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133909*u^11 - 166402*u^12 + 143205*u^13 - 143274*u^14 + 221839*u^15 - 307042*u^16 + 303289*u^17 - 213710*u^18 + 109845*u^19 - 41624*u^20 + 11572*u^21 - 2306*u^22 + 313*u^23 - 26*u^24 + u^25", "81 + 1561*u - 16196*u^2 + 69649*u^3 - 196621*u^4 + 433570*u^5 - 784458*u^6 + 1211053*u^7 - 1616776*u^8 + 1885570*u^9 - 1930758*u^10 + 1743249*u^11 - 1394950*u^12 + 997389*u^13 - 645754*u^14 + 385971*u^15 - 216154*u^16 + 113597*u^17 - 54786*u^18 + 23465*u^19 - 8584*u^20 + 2596*u^21 - 622*u^22 + 113*u^23 - 14*u^24 + u^25", "-43 - 233*u + 756*u^2 + 11067*u^3 + 47885*u^4 + 116958*u^5 + 177548*u^6 + 156221*u^7 + 34622*u^8 - 97070*u^9 - 126490*u^10 - 49879*u^11 + 33624*u^12 + 51503*u^13 + 23100*u^14 - 1983*u^15 - 7458*u^16 - 4237*u^17 - 1080*u^18 + 645*u^19 + 642*u^20 + 54*u^21 - 86*u^22 - 17*u^23 + 4*u^24 + u^25", "-109 + 911*u - 3978*u^2 + 11529*u^3 - 24021*u^4 + 41076*u^5 - 61466*u^6 + 72453*u^7 - 77106*u^8 + 75016*u^9 - 55468*u^10 + 50323*u^11 - 24880*u^12 + 27479*u^13 - 4030*u^14 + 13613*u^15 + 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0.175904 I" ], [ "u->-0.21508 + 1.30714 I", "a->-0.633796 + 0.350292 I", "b->0.37687 - 0.700062 I" ], [ "u->-0.21508 + 1.30714 I", "a->0.41979 - 1.77933 I", "b->0.947946 + 0.524157 I" ], [ "u->-0.21508 - 1.30714 I", "a->-1.11071 - 0.30448 I", "b->-1.32482 - 0.175904 I" ], [ "u->-0.21508 - 1.30714 I", "a->-0.633796 - 0.350292 I", "b->0.37687 + 0.700062 I" ], [ "u->-0.21508 - 1.30714 I", "a->0.41979 + 1.77933 I", "b->0.947946 - 0.524157 I" ], [ "u->-0.56984", "a->-0.101925", "b->1.26384" ], [ "u->-0.56984", "a->1.37568 + 1.52573 I", "b->-0.63192 - 0.444935 I" ], [ "u->-0.56984", "a->1.37568 - 1.52573 I", "b->-0.63192 + 0.444935 I" ] ], "Epsilon":1.87533, "uPolys_ij":[ "u^9", "(-1 + 2*u - u^2 + u^3)^3", "1 + 16*u - 19*u^2 + 33*u^3 - 12*u^4 + 9*u^5 + 5*u^6 + u^7 + 2*u^8 + u^9", "(-1 + 2*u + 3*u^2 + u^3)^3", "(-1 + u^2 + u^3)^3", "1 + 2*u + 5*u^2 + 7*u^3 + 12*u^4 + 19*u^5 + 21*u^6 + 15*u^7 + 6*u^8 + u^9", "7 - 6*u - 57*u^2 + 17*u^3 + 156*u^4 + 81*u^5 - 9*u^6 - 3*u^7 + 4*u^8 + u^9", "-1 + 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2.9794470664789769463`5.035472705916891*I", 9.0195, 9.0195, 9.0195 ], "Abelian":false }, { "IdealName":"J10_65_2", "Generators":[ "1 + b", "2 + 2*a + u", "2 + u^2" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.1974e-2, "TimingZeroDimVars":6.7265e-2, "TimingmagmaVCompNormalize":6.8461e-2, "TimingNumberOfSols":2.8051e-2, "TimingIsRadical":2.061e-3, "TimingArcColoring":5.9476000000000015e-2, "TimingObstruction":1.216e-3, "TimingComplexVolumeN":1.330072, "TimingaCuspShapeN":1.0655e-2, "TiminguValues":0.639278, "TiminguPolysN":2.95e-4, "TiminguPolys":0.817844, "TimingaCuspShape":9.332800000000001e-2, "TimingRepresentationsN":3.0619999999999998e-2, "TiminguValues_ij":0.14785, "TiminguPolys_ij_N":4.64e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ "(-2 - u)\/2", -1 ], "{1, 0}", "{1, 2}", "{-1, 0}", [ "(-4 - u)\/2", -1 ], [ "(-2 - u)\/2", -1 ], [ "(-2 - 3*u)\/2", "-1 - u" ], [ "-u", "-u" ], [ 0, "u" ], [ "u", "u" ] ], "Obstruction":1, "ComplexVolumeN":[ -4.9348, -4.9348 ], "uPolysN":[ "1 + 2*u + u^2", "2 + u^2", "2 + u^2", "1 - 2*u + u^2", "1 - 2*u + u^2", "1 - 2*u + u^2", "1 - 2*u + u^2", "2 + u^2", "2 + u^2", "1 + 2*u + u^2" ], "uPolys":[ "(1 + u)^2", "2 + u^2", "2 + u^2", "(-1 + u)^2", "(-1 + u)^2", "(-1 + u)^2", "(-1 + u)^2", "2 + u^2", "2 + u^2", "(1 + u)^2" ], "aCuspShape":0, "RepresentationsN":[ [ "u->0. + 1.41421 I", "a->-1. - 0.707107 I", "b->-1." ], [ "u->0. - 1.41421 I", "a->-1. + 0.707107 I", "b->-1." ] ], "Epsilon":3.16228, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "4 - 4*u + u^2", "9 - 2*u + u^2", "3 + 2*u + u^2", "3 - 2*u + u^2", "11 - 6*u + u^2", "3 + 2*u + u^2", "2 + u^2", "2 + u^2", "3 - 2*u + u^2", "11 - 6*u + u^2", "9 - 2*u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 4}", "{1, 5}", "{1, 7}", "{1, 8}", "{2, 5}", "{2, 6}", "{6, 7}", "{6, 8}", "{7, 8}" ], [ "{1, 6}", "{2, 4}", "{8, 10}" ], [ "{1, 2}", "{1, 10}", "{4, 5}", "{4, 6}", "{5, 6}", "{6, 10}", "{7, 10}" ], [ "{2, 3}", "{3, 4}", "{8, 9}", "{9, 10}" ], [ "{5, 9}" ], [ "{1, 3}", "{2, 7}" ], [ "{1, 9}", "{5, 10}", "{6, 9}" ], [ "{7, 9}" ], [ "{5, 8}" ], [ "{2, 8}", "{3, 10}", "{4, 9}", "{4, 10}" ], [ "{2, 9}", "{2, 10}", "{3, 8}", "{3, 9}", "{4, 8}", "{5, 7}" ], [ "{3, 6}", "{4, 7}" ], [ "{3, 5}" ], [ "{3, 7}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":"{0, 0}", "Abelian":false }, { "IdealName":"J10_65_3", "Generators":[ "a", "-1 + b", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "ZeroDimensionalVars":[ "b", "a", "v" ], "Timings":{ "TimingZeroDimVars":6.4589e-2, "TimingmagmaVCompNormalize":0.154616, "TimingNumberOfSols":2.5134e-2, "TimingIsRadical":1.887e-3, "TimingArcColoring":6.209e-2, "TimingObstruction":3.830000000000001e-4, "TimingComplexVolumeN":0.429978, "TimingaCuspShapeN":4.7729999999999995e-3, "TiminguValues":0.63453, "TiminguPolysN":1.1399999999999999e-4, "TiminguPolys":0.809372, "TimingaCuspShape":9.3854e-2, "TimingRepresentationsN":2.6222e-2, "TiminguValues_ij":0.144483, "TiminguPoly_ij":0.292232, "TiminguPolys_ij_N":5.9000000000000025e-5 }, "Legacy":{ "IdealName":"J10_65_3", "Generators":[ "-1 + b", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "MonomialOrder":"lex" }, "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{0, -1}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 1}", "{0, 1}", "{1, 1}", "{1, 0}", "{1, 0}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "-1 + u", "u", "u", "-1 + u", "1 + u", "1 + u", "1 + u", "u", "u", "-1 + u" ], "uPolys":[ "-1 + u", "u", "u", "-1 + u", "1 + u", "1 + u", "1 + u", "u", "u", "-1 + u" ], "aCuspShape":0, "RepresentationsN":[ [ "v->1.", "a->0", "b->1." ] ], "Epsilon":"Infinity", "uPolys_ij":[ "1 + u", "u", "-1 + u" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + u", "u", "-1 + u" ], "Multiplicity":1, "ij_list":[ [ "{5, 8}", "{5, 9}", "{5, 10}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}" ], [ "{1, 6}", "{2, 3}", "{2, 4}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 4}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 8}", "{4, 9}", "{4, 10}", "{5, 7}", "{8, 9}", "{8, 10}", "{9, 10}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 5}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 5}", "{2, 6}", "{2, 7}", "{3, 5}", "{3, 6}", "{3, 7}", "{4, 5}", "{4, 6}", "{4, 7}", "{5, 6}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":false }, { "IdealName":"abJ10_65_4", "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":6.7151e-2, "TimingZeroDimVars":6.3537e-2, "TimingmagmaVCompNormalize":6.488000000000002e-2, "TimingNumberOfSols":2.6046999999999997e-2, "TimingIsRadical":1.711e-3, "TimingArcColoring":6.2335e-2, "TimingObstruction":4.1500000000000006e-4, "TimingComplexVolumeN":0.286011, "TimingaCuspShapeN":4.702000000000001e-3, "TiminguValues":0.619124, "TiminguPolysN":7.400000000000002e-5, "TiminguPolys":0.80571, "TimingaCuspShape":8.889200000000001e-2, "TimingRepresentationsN":2.5777e-2, "TiminguValues_ij":0.145876, "TiminguPoly_ij":0.142623, "TiminguPolys_ij_N":2.8e-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)*(1 + u)^2*(1 - u^2 - u^3 + 2*u^4 + 3*u^5 - u^6 - 3*u^7 + u^9)*(-3 - u + 16*u^2 + 21*u^3 - 23*u^4 - 52*u^5 + 14*u^6 + 81*u^7 + 12*u^8 - 86*u^9 - 32*u^10 + 83*u^11 + 46*u^12 - 73*u^13 - 58*u^14 + 55*u^15 + 62*u^16 - 27*u^17 - 50*u^18 + 5*u^19 + 28*u^20 + 4*u^21 - 10*u^22 - 3*u^23 + 2*u^24 + u^25)", "u*(2 + u^2)*(-1 + 2*u - u^2 + u^3)^3*(-2 - 4*u - 2*u^2 + 16*u^3 + 51*u^4 + 79*u^5 + 101*u^6 + 101*u^7 + 62*u^8 + 45*u^9 + 8*u^10 + 16*u^11 + 84*u^12 + 147*u^13 + 275*u^14 + 339*u^15 + 362*u^16 + 358*u^17 + 255*u^18 + 210*u^19 + 102*u^20 + 71*u^21 + 22*u^22 + 13*u^23 + 2*u^24 + u^25)", "u*(2 + u^2)*(-1 + 2*u - u^2 + u^3)^3*(-2 - 4*u - 2*u^2 + 16*u^3 + 51*u^4 + 79*u^5 + 101*u^6 + 101*u^7 + 62*u^8 + 45*u^9 + 8*u^10 + 16*u^11 + 84*u^12 + 147*u^13 + 275*u^14 + 339*u^15 + 362*u^16 + 358*u^17 + 255*u^18 + 210*u^19 + 102*u^20 + 71*u^21 + 22*u^22 + 13*u^23 + 2*u^24 + u^25)", "(-1 + u)^3*(1 + 2*u + 5*u^2 + 7*u^3 + 12*u^4 + 19*u^5 + 21*u^6 + 15*u^7 + 6*u^8 + u^9)*(9 + 97*u + 436*u^2 + 1365*u^3 + 3251*u^4 + 6346*u^5 + 10546*u^6 + 15509*u^7 + 20644*u^8 + 25326*u^9 + 28850*u^10 + 30709*u^11 + 30594*u^12 + 28565*u^13 + 24938*u^14 + 20287*u^15 + 15266*u^16 + 10521*u^17 + 6542*u^18 + 3605*u^19 + 1720*u^20 + 692*u^21 + 226*u^22 + 57*u^23 + 10*u^24 + u^25)", "(-1 + u)^2*(1 + u)*(1 - u^2 - u^3 + 2*u^4 + 3*u^5 - u^6 - 3*u^7 + u^9)*(-3 - u + 16*u^2 + 21*u^3 - 23*u^4 - 52*u^5 + 14*u^6 + 81*u^7 + 12*u^8 - 86*u^9 - 32*u^10 + 83*u^11 + 46*u^12 - 73*u^13 - 58*u^14 + 55*u^15 + 62*u^16 - 27*u^17 - 50*u^18 + 5*u^19 + 28*u^20 + 4*u^21 - 10*u^22 - 3*u^23 + 2*u^24 + u^25)", "(-1 + u)^2*(1 + u)*(1 - u^2 - u^3 + 2*u^4 + 3*u^5 - u^6 - 3*u^7 + u^9)*(-3 - 5*u - 12*u^2 + 9*u^3 + 25*u^4 + 60*u^5 + 6*u^6 - 87*u^7 - 24*u^8 + 66*u^9 - 76*u^10 - 133*u^11 + 110*u^12 + 239*u^13 + 90*u^14 - 281*u^15 - 274*u^16 + 237*u^17 + 234*u^18 - 139*u^19 - 100*u^20 + 52*u^21 + 22*u^22 - 11*u^23 - 2*u^24 + u^25)", "(-1 + u)^2*(1 + u)*(1 - u^2 - u^3 + 2*u^4 + 3*u^5 - u^6 - 3*u^7 + u^9)*(-3 - 5*u - 12*u^2 + 9*u^3 + 25*u^4 + 60*u^5 + 6*u^6 - 87*u^7 - 24*u^8 + 66*u^9 - 76*u^10 - 133*u^11 + 110*u^12 + 239*u^13 + 90*u^14 - 281*u^15 - 274*u^16 + 237*u^17 + 234*u^18 - 139*u^19 - 100*u^20 + 52*u^21 + 22*u^22 - 11*u^23 - 2*u^24 + u^25)", "u*(2 + u^2)*(-1 + 2*u - u^2 + u^3)^3*(-2 - 4*u - 2*u^2 + 16*u^3 + 51*u^4 + 79*u^5 + 101*u^6 + 101*u^7 + 62*u^8 + 45*u^9 + 8*u^10 + 16*u^11 + 84*u^12 + 147*u^13 + 275*u^14 + 339*u^15 + 362*u^16 + 358*u^17 + 255*u^18 + 210*u^19 + 102*u^20 + 71*u^21 + 22*u^22 + 13*u^23 + 2*u^24 + u^25)", "u*(2 + u^2)*(-1 + u^2 + u^3)^3*(-16 + 56*u - 180*u^2 + 410*u^3 - 586*u^4 + 878*u^5 - 342*u^6 - 201*u^7 - 376*u^8 + 840*u^9 + 56*u^10 + 115*u^11 - 808*u^12 + 629*u^13 + 194*u^14 - 365*u^15 + 66*u^16 + 176*u^17 - 126*u^18 + 28*u^19 + 2*u^20 + 3*u^21 + u^23 - 2*u^24 + u^25)", "(-1 + u)*(1 + u)^2*(1 - u^2 - u^3 + 2*u^4 + 3*u^5 - u^6 - 3*u^7 + u^9)*(-3 - 5*u - 12*u^2 + 9*u^3 + 25*u^4 + 60*u^5 + 6*u^6 - 87*u^7 - 24*u^8 + 66*u^9 - 76*u^10 - 133*u^11 + 110*u^12 + 239*u^13 + 90*u^14 - 281*u^15 - 274*u^16 + 237*u^17 + 234*u^18 - 139*u^19 - 100*u^20 + 52*u^21 + 22*u^22 - 11*u^23 - 2*u^24 + u^25)" ], "RileyPolyC":[ "(-1 + y)^3*(-1 + 2*y - 5*y^2 + 7*y^3 - 12*y^4 + 19*y^5 - 21*y^6 + 15*y^7 - 6*y^8 + y^9)*(-9 + 97*y - 436*y^2 + 1365*y^3 - 3251*y^4 + 6346*y^5 - 10546*y^6 + 15509*y^7 - 20644*y^8 + 25326*y^9 - 28850*y^10 + 30709*y^11 - 30594*y^12 + 28565*y^13 - 24938*y^14 + 20287*y^15 - 15266*y^16 + 10521*y^17 - 6542*y^18 + 3605*y^19 - 1720*y^20 + 692*y^21 - 226*y^22 + 57*y^23 - 10*y^24 + y^25)", "y*(2 + y)^2*(-1 + 2*y + 3*y^2 + y^3)^3*(-4 + 8*y + 72*y^2 + 232*y^3 - 229*y^4 - 909*y^5 + 1113*y^6 + 4743*y^7 + 2130*y^8 - 7075*y^9 - 7054*y^10 + 10598*y^11 + 24716*y^12 + 12271*y^13 - 11367*y^14 - 10637*y^15 + 19078*y^16 + 47476*y^17 + 51043*y^18 + 34996*y^19 + 16734*y^20 + 5709*y^21 + 1374*y^22 + 223*y^23 + 22*y^24 + y^25)", "y*(2 + y)^2*(-1 + 2*y + 3*y^2 + y^3)^3*(-4 + 8*y + 72*y^2 + 232*y^3 - 229*y^4 - 909*y^5 + 1113*y^6 + 4743*y^7 + 2130*y^8 - 7075*y^9 - 7054*y^10 + 10598*y^11 + 24716*y^12 + 12271*y^13 - 11367*y^14 - 10637*y^15 + 19078*y^16 + 47476*y^17 + 51043*y^18 + 34996*y^19 + 16734*y^20 + 5709*y^21 + 1374*y^22 + 223*y^23 + 22*y^24 + y^25)", "(-1 + y)^3*(-1 - 6*y - 21*y^2 - 37*y^3 - 40*y^4 + 11*y^5 - y^6 + 11*y^7 - 6*y^8 + y^9)*(-81 + 1561*y + 16196*y^2 + 69649*y^3 + 196621*y^4 + 433570*y^5 + 784458*y^6 + 1211053*y^7 + 1616776*y^8 + 1885570*y^9 + 1930758*y^10 + 1743249*y^11 + 1394950*y^12 + 997389*y^13 + 645754*y^14 + 385971*y^15 + 216154*y^16 + 113597*y^17 + 54786*y^18 + 23465*y^19 + 8584*y^20 + 2596*y^21 + 622*y^22 + 113*y^23 + 14*y^24 + y^25)", "(-1 + y)^3*(-1 + 2*y - 5*y^2 + 7*y^3 - 12*y^4 + 19*y^5 - 21*y^6 + 15*y^7 - 6*y^8 + y^9)*(-9 + 97*y - 436*y^2 + 1365*y^3 - 3251*y^4 + 6346*y^5 - 10546*y^6 + 15509*y^7 - 20644*y^8 + 25326*y^9 - 28850*y^10 + 30709*y^11 - 30594*y^12 + 28565*y^13 - 24938*y^14 + 20287*y^15 - 15266*y^16 + 10521*y^17 - 6542*y^18 + 3605*y^19 - 1720*y^20 + 692*y^21 - 226*y^22 + 57*y^23 - 10*y^24 + y^25)", "(-1 + y)^3*(-1 + 2*y - 5*y^2 + 7*y^3 - 12*y^4 + 19*y^5 - 21*y^6 + 15*y^7 - 6*y^8 + y^9)*(-9 - 47*y - 84*y^2 + 117*y^3 + 1325*y^4 + 42*y^5 - 7922*y^6 + 17973*y^7 - 24980*y^8 + 34110*y^9 - 70066*y^10 + 133909*y^11 - 166402*y^12 + 143205*y^13 - 143274*y^14 + 221839*y^15 - 307042*y^16 + 303289*y^17 - 213710*y^18 + 109845*y^19 - 41624*y^20 + 11572*y^21 - 2306*y^22 + 313*y^23 - 26*y^24 + y^25)", "(-1 + y)^3*(-1 + 2*y - 5*y^2 + 7*y^3 - 12*y^4 + 19*y^5 - 21*y^6 + 15*y^7 - 6*y^8 + y^9)*(-9 - 47*y - 84*y^2 + 117*y^3 + 1325*y^4 + 42*y^5 - 7922*y^6 + 17973*y^7 - 24980*y^8 + 34110*y^9 - 70066*y^10 + 133909*y^11 - 166402*y^12 + 143205*y^13 - 143274*y^14 + 221839*y^15 - 307042*y^16 + 303289*y^17 - 213710*y^18 + 109845*y^19 - 41624*y^20 + 11572*y^21 - 2306*y^22 + 313*y^23 - 26*y^24 + y^25)", "y*(2 + y)^2*(-1 + 2*y + 3*y^2 + y^3)^3*(-4 + 8*y + 72*y^2 + 232*y^3 - 229*y^4 - 909*y^5 + 1113*y^6 + 4743*y^7 + 2130*y^8 - 7075*y^9 - 7054*y^10 + 10598*y^11 + 24716*y^12 + 12271*y^13 - 11367*y^14 - 10637*y^15 + 19078*y^16 + 47476*y^17 + 51043*y^18 + 34996*y^19 + 16734*y^20 + 5709*y^21 + 1374*y^22 + 223*y^23 + 22*y^24 + y^25)", "y*(2 + y)^2*(-1 + 2*y - y^2 + y^3)^3*(-256 - 2624*y - 5232*y^2 + 44532*y^3 + 218900*y^4 + 165752*y^5 - 214608*y^6 + 1203965*y^7 - 638936*y^8 + 1220842*y^9 - 999142*y^10 + 1683603*y^11 - 1196406*y^12 + 814323*y^13 - 287988*y^14 + 136651*y^15 - 45028*y^16 + 32300*y^17 - 10218*y^18 + 3648*y^19 + 50*y^20 - 87*y^21 + 70*y^22 + 7*y^23 - 2*y^24 + y^25)", "(-1 + y)^3*(-1 + 2*y - 5*y^2 + 7*y^3 - 12*y^4 + 19*y^5 - 21*y^6 + 15*y^7 - 6*y^8 + y^9)*(-9 - 47*y - 84*y^2 + 117*y^3 + 1325*y^4 + 42*y^5 - 7922*y^6 + 17973*y^7 - 24980*y^8 + 34110*y^9 - 70066*y^10 + 133909*y^11 - 166402*y^12 + 143205*y^13 - 143274*y^14 + 221839*y^15 - 307042*y^16 + 303289*y^17 - 213710*y^18 + 109845*y^19 - 41624*y^20 + 11572*y^21 - 2306*y^22 + 313*y^23 - 26*y^24 + y^25)" ] }, "GeometricRepresentation":[ 1.20765e1, [ "J10_65_0", 1, "{21, 22}" ] ] } }