{ "Index":144, "Name":"10_60", "RolfsenName":"10_60", "DTname":"10a_1", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-15, 7, -11, 13, -17, -5, 19, -1, -9, 3}", "Acode":"{-8, 4, -6, 7, -9, -3, 10, -1, -5, 2}", "PDcode":[ "{2, 15, 3, 16}", "{4, 8, 5, 7}", "{6, 11, 7, 12}", "{8, 14, 9, 13}", "{10, 17, 11, 18}", "{12, 5, 13, 6}", "{14, 20, 15, 19}", "{16, 1, 17, 2}", "{18, 9, 19, 10}", "{20, 4, 1, 3}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{4, 6, 10}", [], [ "{4, -6, 3, 2}", "{6, -3, 7, 1}", "{4, 7, 5, 1}", "{7, 10, 8, 1}", "{3, 4, 2, 2}", "{2, -8, 1, 2}", "{10, -5, 9, 2}" ], "{5, 10}", "{8}", 8 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a*b + b^2 + u^2 + a^2*u^2 - 3*a*b*u^2 + 3*b^2*u^2 + u^4 + 3*a^2*u^4 - 9*a*b*u^4 + 6*b^2*u^4 + 6*a^2*u^6 - 16*a*b*u^6 + 7*b^2*u^6 + 11*a^2*u^8 - 20*a*b*u^8 + 6*b^2*u^8 + 14*a^2*u^10 - 16*a*b*u^10 + 3*b^2*u^10 + 11*a^2*u^12 - 8*a*b*u^12 + b^2*u^12 + 5*a^2*u^14 - 2*a*b*u^14 + a^2*u^16", "-b^2 - u + u^2 + a*b*u^2 + 2*u^4 + 3*b^2*u^4 + u^6 + a^2*u^6 - 9*a*b*u^6 + 8*b^2*u^6 + 6*a^2*u^8 - 22*a*b*u^8 + 10*b^2*u^8 + 15*a^2*u^10 - 28*a*b*u^10 + 8*b^2*u^10 + 20*a^2*u^12 - 22*a*b*u^12 + 4*b^2*u^12 + 15*a^2*u^14 - 10*a*b*u^14 + b^2*u^14 + 6*a^2*u^16 - 2*a*b*u^16 + a^2*u^18", "-1 + a - b - 2*u^2 + a*u^2 + a^2*u^2 - 2*b*u^2 - a^3*b*u^2 - b^2*u^2 + 2*a^2*b^2*u^2 - a*b^3*u^2 - u^4 + a*u^4 + a^2*u^4 + a^4*u^4 - b*u^4 + 2*a*b*u^4 - 5*a^3*b*u^4 - b^2*u^4 + 5*a^2*b^2*u^4 - a*b^3*u^4 - u^6 + a^2*u^6 + 2*a^4*u^6 - 5*a^3*b*u^6 + 2*a^2*b^2*u^6 + a^2*u^8 + a^4*u^8 - a^3*b*u^8", "b - 2*u^2 - b*u^2 + 2*a*b*u^2 - 2*b^2*u^2 - a^2*b^2*u^2 + 2*a*b^3*u^2 - b^4*u^2 - 2*u^4 + a*u^4 - a^2*u^4 - b*u^4 + 6*a*b*u^4 + a^3*b*u^4 - 3*b^2*u^4 - 5*a^2*b^2*u^4 + 5*a*b^3*u^4 - b^4*u^4 - 2*u^6 - 2*a^2*u^6 + 6*a*b*u^6 + 2*a^3*b*u^6 - 2*b^2*u^6 - 5*a^2*b^2*u^6 + 2*a*b^3*u^6 - u^8 - a^2*u^8 + 2*a*b*u^8 + a^3*b*u^8 - a^2*b^2*u^8" ], "TimingForPrimaryIdeals":0.206999 }, "v":{ "CheckEq":[ "-b^2", "1 - a*b + b^2 - v", "-1 + a - b - b^2*v^2 - a*b^3*v^2", "b - b^4*v^2" ], "TimingForPrimaryIdeals":9.688700000000001e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_60_0", "Generators":[ "b - u^2 - 2*u^5 + 3*u^6 - 2*u^7 + 3*u^8 - u^9 + u^10", "a - u^2 - 2*u^3 + 3*u^4 - 4*u^5 + 6*u^6 - 3*u^7 + 4*u^8 - u^9 + u^10", "1 + u^2 - 2*u^3 + 2*u^4 - 4*u^5 + 6*u^6 - 5*u^7 + 7*u^8 - 3*u^9 + 4*u^10 - u^11 + u^12" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.343e-2, "TimingZeroDimVars":6.8688e-2, "TimingmagmaVCompNormalize":7.0032e-2, "TimingNumberOfSols":0.14214, "TimingIsRadical":5.889e-3, "TimingArcColoring":6.9314e-2, "TimingObstruction":2.0718999999999998e-2, "TimingComplexVolumeN":1.039529e1, "TimingaCuspShapeN":6.621e-2, "TiminguValues":0.654043, "TiminguPolysN":9.481999999999999e-3, "TiminguPolys":0.84198, "TimingaCuspShape":0.106417, "TimingRepresentationsN":0.118929, "TiminguValues_ij":0.169036, "TiminguPoly_ij":1.484358, "TiminguPolys_ij_N":2.0253999999999998e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":12, "IsRadical":true, "ArcColoring":[ [ "2*u^3 - 4*u^4 + 4*u^5 - 6*u^6 + 3*u^7 - 4*u^8 + u^9 - u^10", "u^2 - u^4 + 2*u^5 - 3*u^6 + 2*u^7 - 3*u^8 + u^9 - u^10" ], [ "1 + u^2", "u^2" ], [ 1, "u^2" ], "{1, 0}", [ "1 + u^2 + u^4", "u^2 + 2*u^4 + u^6" ], [ 0, "u" ], [ "u", "u + u^3" ], [ "-2*u^3 - 2*u^6 + 3*u^7 - 2*u^8 + 3*u^9 - u^10 + u^11", "-u^3 + 2*u^4 - 3*u^5 + 2*u^6 - 3*u^7 + u^8 - u^9" ], [ "2*u^3 - 2*u^4 + 4*u^5 - 2*u^6 + 3*u^7 - u^8 + u^9", "-2*u^4 + 4*u^5 - 4*u^6 + 6*u^7 - 3*u^8 + 4*u^9 - u^10 + u^11" ], [ "u^2 + 2*u^3 - 3*u^4 + 4*u^5 - 6*u^6 + 3*u^7 - 4*u^8 + u^9 - u^10", "u^2 + 2*u^5 - 3*u^6 + 2*u^7 - 3*u^8 + u^9 - u^10" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-1.8772 - 1.89052*I", "-1.8772 + 1.89052*I", "-0.78013 - 3.73206*I", "-0.78013 + 3.73206*I", "-2.98532 - 7.52709*I", "-2.98532 + 7.52709*I", "-9.48086 + 3.21477*I", "-9.48086 - 3.21477*I", "-5.9276 + 13.98*I", "-5.9276 - 13.98*I", "1.31194 - 0.92364*I", "1.31194 + 0.92364*I" ], "uPolysN":[ "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12", "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12", "4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12", "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12", "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12", "1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12" ], "uPolys":[ "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12", "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12", "4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12", "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12", "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12", "1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12" ], "aCuspShape":"2 + 2*(-2 + 3*u - 2*u^2 + 8*u^3 - 12*u^4 + 17*u^5 - 20*u^6 + 17*u^7 - 13*u^8 + 9*u^9 - 4*u^10 + 2*u^11)", "RepresentationsN":[ [ "u->-0.178968 + 0.877941 I", "a->-1.17644 - 0.42628 I", "b->-0.702552 + 0.572575 I" ], [ "u->-0.178968 - 0.877941 I", "a->-1.17644 + 0.42628 I", "b->-0.702552 - 0.572575 I" ], [ "u->0.780097 + 0.281995 I", "a->1.73075 + 0.13511 I", "b->1.05789 + 0.528101 I" ], [ "u->0.780097 - 0.281995 I", "a->1.73075 - 0.13511 I", "b->1.05789 - 0.528101 I" ], [ "u->-0.496677 + 1.11704 I", "a->-0.55633 + 2.12256 I", "b->2.35694 + 1.72461 I" ], [ "u->-0.496677 - 1.11704 I", "a->-0.55633 - 2.12256 I", "b->2.35694 - 1.72461 I" ], [ "u->0.3359 + 1.2076 I", "a->-0.736004 - 0.940791 I", "b->1.36295 - 1.08335 I" ], [ "u->0.3359 - 1.2076 I", "a->-0.736004 + 0.940791 I", "b->1.36295 + 1.08335 I" ], [ "u->0.577185 + 1.16454 I", "a->0.15978 - 1.92327 I", "b->2.6048 - 1.08526 I" ], [ "u->0.577185 - 1.16454 I", "a->0.15978 + 1.92327 I", "b->2.6048 + 1.08526 I" ], [ "u->-0.517537 + 0.434237 I", "a->1.57824 - 0.67661 I", "b->0.319971 - 0.990159 I" ], [ "u->-0.517537 - 0.434237 I", "a->1.57824 + 0.67661 I", "b->0.319971 + 0.990159 I" ] ], "Epsilon":1.22747, "uPolys_ij":[ "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12", "1 - 6*u + 5*u^2 + 106*u^4 + 178*u^5 + 306*u^6 + 95*u^7 + 111*u^8 + 19*u^9 + 16*u^10 + u^11 + u^12", "1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12", "16 - 16*u + 56*u^2 + 12*u^3 + 33*u^4 + 52*u^5 + 42*u^6 + 6*u^7 - u^8 + 10*u^9 + 11*u^10 + 5*u^11 + u^12", "1 - 2*u + 53*u^2 + 68*u^3 + 70*u^4 + 194*u^5 + 346*u^6 + 371*u^7 + 267*u^8 + 131*u^9 + 44*u^10 + 9*u^11 + u^12", "79 + 26*u + 91*u^2 + 212*u^3 + 50*u^4 + 54*u^5 + 276*u^6 + 275*u^7 + 129*u^8 + 19*u^9 - 2*u^10 + u^11 + u^12", "1 - 2*u + u^2 - 8*u^3 + 2*u^4 + 4*u^5 + 40*u^6 - 17*u^7 + 37*u^8 - 9*u^9 + 10*u^10 - u^11 + u^12", "7 + 4*u - 11*u^2 - 22*u^3 + 26*u^4 + 40*u^5 - 46*u^6 + 7*u^7 + 59*u^8 - 9*u^9 - 14*u^10 + u^11 + u^12", "31 + 84*u + 99*u^2 - 40*u^3 - 190*u^4 - 210*u^5 + 18*u^6 + 83*u^7 + 121*u^8 + 29*u^9 + 18*u^10 + 3*u^11 + u^12", "7 + 6*u + 15*u^2 - 50*u^3 + 56*u^5 + 40*u^6 + 37*u^7 + 5*u^8 - u^9 + 8*u^10 - 3*u^11 + u^12", "31 - 144*u + 357*u^2 - 238*u^3 - 312*u^4 + 292*u^5 + 336*u^6 + 347*u^7 + 201*u^8 + 61*u^9 + 26*u^10 + 3*u^11 + u^12", "1 - 42*u + 601*u^2 - 1912*u^3 + 1746*u^4 + 464*u^5 - 364*u^6 + 85*u^7 - 3*u^8 - 43*u^9 + 40*u^10 - 11*u^11 + u^12", "4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12", "256 - 640*u + 768*u^2 - 576*u^3 + 464*u^4 - 736*u^5 + 1152*u^6 - 1178*u^7 + 775*u^8 - 330*u^9 + 89*u^10 - 14*u^11 + u^12", "172 - 484*u + 552*u^2 - 190*u^3 - 401*u^4 + 672*u^5 - 440*u^6 + 36*u^7 + 207*u^8 - 180*u^9 + 69*u^10 - 13*u^11 + u^12", "17 - 18*u - 7*u^2 - 156*u^3 + 92*u^4 - 50*u^5 + 442*u^6 + 135*u^7 + 255*u^8 + 49*u^9 + 20*u^10 + u^11 + u^12", "356 + 844*u + 1168*u^2 + 1138*u^3 + 993*u^4 + 808*u^5 + 524*u^6 + 214*u^7 + 41*u^8 + 2*u^9 + 7*u^10 + 5*u^11 + u^12", "17 - 12*u - 21*u^2 + 20*u^3 + 34*u^4 - 22*u^5 - 28*u^6 + 23*u^7 + 13*u^8 - 13*u^9 - 2*u^10 + u^11 + u^12" ], "GeometricComponent":"{9, 10}", "uPolys_ij_N":[ "1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12", "1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12", "1 - 6*u + 5*u^2 + 106*u^4 + 178*u^5 + 306*u^6 + 95*u^7 + 111*u^8 + 19*u^9 + 16*u^10 + u^11 + u^12", "1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12", "16 - 16*u + 56*u^2 + 12*u^3 + 33*u^4 + 52*u^5 + 42*u^6 + 6*u^7 - u^8 + 10*u^9 + 11*u^10 + 5*u^11 + u^12", "1 - 2*u + 53*u^2 + 68*u^3 + 70*u^4 + 194*u^5 + 346*u^6 + 371*u^7 + 267*u^8 + 131*u^9 + 44*u^10 + 9*u^11 + u^12", "79 + 26*u + 91*u^2 + 212*u^3 + 50*u^4 + 54*u^5 + 276*u^6 + 275*u^7 + 129*u^8 + 19*u^9 - 2*u^10 + u^11 + u^12", "1 - 2*u + u^2 - 8*u^3 + 2*u^4 + 4*u^5 + 40*u^6 - 17*u^7 + 37*u^8 - 9*u^9 + 10*u^10 - u^11 + u^12", "7 + 4*u - 11*u^2 - 22*u^3 + 26*u^4 + 40*u^5 - 46*u^6 + 7*u^7 + 59*u^8 - 9*u^9 - 14*u^10 + u^11 + u^12", "31 + 84*u + 99*u^2 - 40*u^3 - 190*u^4 - 210*u^5 + 18*u^6 + 83*u^7 + 121*u^8 + 29*u^9 + 18*u^10 + 3*u^11 + u^12", "7 + 6*u + 15*u^2 - 50*u^3 + 56*u^5 + 40*u^6 + 37*u^7 + 5*u^8 - u^9 + 8*u^10 - 3*u^11 + u^12", "31 - 144*u + 357*u^2 - 238*u^3 - 312*u^4 + 292*u^5 + 336*u^6 + 347*u^7 + 201*u^8 + 61*u^9 + 26*u^10 + 3*u^11 + u^12", "1 - 42*u + 601*u^2 - 1912*u^3 + 1746*u^4 + 464*u^5 - 364*u^6 + 85*u^7 - 3*u^8 - 43*u^9 + 40*u^10 - 11*u^11 + u^12", "4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12", "256 - 640*u + 768*u^2 - 576*u^3 + 464*u^4 - 736*u^5 + 1152*u^6 - 1178*u^7 + 775*u^8 - 330*u^9 + 89*u^10 - 14*u^11 + u^12", "172 - 484*u + 552*u^2 - 190*u^3 - 401*u^4 + 672*u^5 - 440*u^6 + 36*u^7 + 207*u^8 - 180*u^9 + 69*u^10 - 13*u^11 + u^12", "17 - 18*u - 7*u^2 - 156*u^3 + 92*u^4 - 50*u^5 + 442*u^6 + 135*u^7 + 255*u^8 + 49*u^9 + 20*u^10 + u^11 + u^12", "356 + 844*u + 1168*u^2 + 1138*u^3 + 993*u^4 + 808*u^5 + 524*u^6 + 214*u^7 + 41*u^8 + 2*u^9 + 7*u^10 + 5*u^11 + u^12", "17 - 12*u - 21*u^2 + 20*u^3 + 34*u^4 - 22*u^5 - 28*u^6 + 23*u^7 + 13*u^8 - 13*u^9 - 2*u^10 + u^11 + u^12" ], "Multiplicity":1, "MinRepresentationVolume":[ "{11, 12}", 0.92364 ], "ij_list":[ [ "{1, 8}", "{1, 9}", "{2, 8}", "{3, 6}", "{3, 7}", "{4, 6}" ], [ "{1, 2}", "{2, 4}", "{2, 10}", "{3, 4}", "{6, 7}", "{8, 9}" ], [ "{1, 10}", "{2, 3}", "{3, 5}" ], [ "{2, 6}", "{2, 9}", "{4, 7}", "{5, 7}", "{7, 10}", "{8, 10}" ], [ "{2, 7}", "{5, 6}", "{9, 10}" ], [ "{4, 5}", "{7, 8}" ], [ "{1, 7}" ], [ "{2, 5}", "{5, 8}", "{7, 9}" ], [ "{1, 5}", "{3, 9}" ], [ "{4, 8}" ], [ "{6, 8}" ], [ "{3, 10}" ], [ "{1, 3}" ], [ "{5, 9}", "{5, 10}", "{6, 9}" ], [ "{4, 10}" ], [ "{1, 4}" ], [ "{3, 8}" ], [ "{6, 10}" ], [ "{1, 6}", "{4, 9}" ] ], "SortedReprnIndices":"{9, 10, 6, 5, 4, 3, 7, 8, 2, 1, 12, 11}", "aCuspShapeN":[ "-4.2484968923791387699`5.015215952937101 + 3.950538530473212667`4.98363694994143*I", "-4.2484968923791387699`5.015215952937101 - 3.950538530473212667`4.98363694994143*I", "3.2196578329306982232`5.047396478915656 + 2.5101327997933577999`4.93928345778383*I", "3.2196578329306982232`5.047396478915656 - 2.5101327997933577999`4.93928345778383*I", "-1.8844544660168389124`4.576511728276799 + 6.8103378653245613503`5.134494738282302*I", "-1.8844544660168389124`4.576511728276799 - 6.8103378653245613503`5.134494738282302*I", "-6.8817857100413412113`5.106867065969263 - 3.2470967440414615365`4.780661149039624*I", "-6.8817857100413412113`5.106867065969263 + 3.2470967440414615365`4.780661149039624*I", "-2.4438664232593412045`4.556986272712633 - 9.268532569033487491`5.13591978849771*I", "-2.4438664232593412045`4.556986272712633 + 9.268532569033487491`5.13591978849771*I", "6.238945658765961879`5.112320986834838 + 2.7359523360745353844`4.754318311021127*I", "6.238945658765961879`5.112320986834838 - 2.7359523360745353844`4.754318311021127*I" ], "Abelian":false }, { "IdealName":"J10_60_1", "Generators":[ "1 + b - 2*u + 2*u^2 - 2*u^3 + 4*u^4 - 4*u^5 + 4*u^6 - 12*u^7 + 10*u^8 - 27*u^9 + 49*u^10 - 69*u^11 + 116*u^12 - 160*u^13 + 204*u^14 - 280*u^15 + 300*u^16 - 364*u^17 + 376*u^18 - 380*u^19 + 380*u^20 - 336*u^21 + 300*u^22 - 258*u^23 + 182*u^24 - 166*u^25 + 84*u^26 - 85*u^27 + 29*u^28 - 32*u^29 + 7*u^30 - 8*u^31 + u^32 - u^33", "-2 + a + 3*u - 2*u^2 - 2*u^3 - 4*u^4 + 8*u^5 - 10*u^6 + 30*u^7 - 54*u^8 + 97*u^9 - 164*u^10 + 218*u^11 - 328*u^12 + 403*u^13 - 504*u^14 + 579*u^15 - 631*u^16 + 667*u^17 - 664*u^18 + 620*u^19 - 582*u^20 + 472*u^21 - 422*u^22 + 292*u^23 - 247*u^24 + 144*u^25 - 114*u^26 + 54*u^27 - 39*u^28 + 14*u^29 - 9*u^30 + 2*u^31 - u^32", "1 - 3*u + 5*u^2 - 4*u^3 + 4*u^4 - 6*u^5 + 12*u^6 - 18*u^7 + 38*u^8 - 75*u^9 + 134*u^10 - 224*u^11 + 334*u^12 - 473*u^13 + 636*u^14 - 781*u^15 + 940*u^16 - 1039*u^17 + 1119*u^18 - 1136*u^19 + 1096*u^20 - 1016*u^21 + 894*u^22 - 740*u^23 + 606*u^24 - 432*u^25 + 335*u^26 - 198*u^27 + 146*u^28 - 68*u^29 + 47*u^30 - 16*u^31 + 10*u^32 - 2*u^33 + u^34" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.666e-2, "TimingZeroDimVars":9.42e-2, "TimingmagmaVCompNormalize":9.5575e-2, "TimingNumberOfSols":0.369802, "TimingIsRadical":3.4086e-2, "TimingArcColoring":7.4223e-2, "TimingObstruction":0.122854, "TimingComplexVolumeN":3.1579639e1, "TimingaCuspShapeN":0.266706, "TiminguValues":0.693126, "TiminguPolysN":0.169866, "TiminguPolys":0.969431, "TimingaCuspShape":0.151545, "TimingRepresentationsN":0.35295, "TiminguValues_ij":0.215664, "TiminguPolys_ij_N":0.35487 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":34, "IsRadical":true, "ArcColoring":[ [ "4 - 6*u + 7*u^2 + 10*u^4 - 12*u^5 + 26*u^6 - 48*u^7 + 86*u^8 - 177*u^9 + 267*u^10 - 398*u^11 + 581*u^12 - 714*u^13 + 947*u^14 - 1044*u^15 + 1192*u^16 - 1256*u^17 + 1239*u^18 - 1212*u^19 + 1094*u^20 - 924*u^21 + 830*u^22 - 550*u^23 + 523*u^24 - 252*u^25 + 262*u^26 - 87*u^27 + 97*u^28 - 21*u^29 + 24*u^30 - 3*u^31 + 3*u^32", "u^2 + 2*u^3 - 2*u^4 + 6*u^6 + 6*u^7 + 16*u^8 - 22*u^9 + 16*u^10 - 52*u^11 + 32*u^12 - 38*u^13 + 64*u^14 + 22*u^15 + 34*u^16 + 58*u^17 - 69*u^18 + 80*u^19 - 152*u^20 + 124*u^21 - 138*u^22 + 172*u^23 - 70*u^24 + 168*u^25 - 17*u^26 + 112*u^27 + 50*u^29 + u^30 + 14*u^31 + 2*u^33" ], [ "1 + u^2", "u^2" ], [ 1, "u^2" ], "{1, 0}", [ "1 + u^2 + u^4", "u^2 + 2*u^4 + u^6" ], [ 0, "u" ], [ "u", "u + u^3" ], [ "1 + u^2 - 4*u^3 + 2*u^4 - 4*u^5 + 4*u^6 - 2*u^7 + 5*u^8 + 3*u^10 + u^12", "-u + 3*u^2 - 2*u^3 + 4*u^4 - 6*u^5 + 6*u^6 - 14*u^7 + 12*u^8 - 26*u^9 + 52*u^10 - 65*u^11 + 118*u^12 - 155*u^13 + 205*u^14 - 277*u^15 + 300*u^16 - 363*u^17 + 376*u^18 - 380*u^19 + 380*u^20 - 336*u^21 + 300*u^22 - 258*u^23 + 182*u^24 - 166*u^25 + 84*u^26 - 85*u^27 + 29*u^28 - 32*u^29 + 7*u^30 - 8*u^31 + u^32 - u^33" ], [ "2 - 3*u + 3*u^2 + u^3 + 6*u^4 - 7*u^5 + 13*u^6 - 28*u^7 + 44*u^8 - 98*u^9 + 141*u^10 - 214*u^11 + 318*u^12 - 388*u^13 + 530*u^14 - 584*u^15 + 681*u^16 - 728*u^17 + 724*u^18 - 725*u^19 + 657*u^20 - 568*u^21 + 513*u^22 - 346*u^23 + 332*u^24 - 162*u^25 + 170*u^26 - 57*u^27 + 64*u^28 - 14*u^29 + 16*u^30 - 2*u^31 + 2*u^32", "-u + u^2 + 2*u^3 - 3*u^4 - 3*u^5 + 7*u^6 + 2*u^7 + 20*u^8 - 28*u^9 + 28*u^10 - 69*u^11 + 49*u^12 - 85*u^13 + 104*u^14 - 67*u^15 + 126*u^16 - 72*u^17 + 87*u^18 - 89*u^19 + 32*u^20 - 70*u^21 + 21*u^22 - 14*u^23 + 34*u^24 + 29*u^25 + 36*u^26 + 34*u^27 + 21*u^28 + 19*u^29 + 7*u^30 + 6*u^31 + u^32 + u^33" ], [ "2 - 3*u + 2*u^2 + 2*u^3 + 4*u^4 - 8*u^5 + 10*u^6 - 30*u^7 + 54*u^8 - 97*u^9 + 164*u^10 - 218*u^11 + 328*u^12 - 403*u^13 + 504*u^14 - 579*u^15 + 631*u^16 - 667*u^17 + 664*u^18 - 620*u^19 + 582*u^20 - 472*u^21 + 422*u^22 - 292*u^23 + 247*u^24 - 144*u^25 + 114*u^26 - 54*u^27 + 39*u^28 - 14*u^29 + 9*u^30 - 2*u^31 + u^32", "-1 + 2*u - 2*u^2 + 2*u^3 - 4*u^4 + 4*u^5 - 4*u^6 + 12*u^7 - 10*u^8 + 27*u^9 - 49*u^10 + 69*u^11 - 116*u^12 + 160*u^13 - 204*u^14 + 280*u^15 - 300*u^16 + 364*u^17 - 376*u^18 + 380*u^19 - 380*u^20 + 336*u^21 - 300*u^22 + 258*u^23 - 182*u^24 + 166*u^25 - 84*u^26 + 85*u^27 - 29*u^28 + 32*u^29 - 7*u^30 + 8*u^31 - u^32 + u^33" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-0.85292 - 6.04614*I", "-0.85292 + 6.04614*I", "1.18281 - 1.86595*I", "1.18281 + 1.86595*I", "0.36198 - 2.83643*I", "0.36198 + 2.83643*I", "-3.32961 - 8.73955*I", "-3.32961 + 8.73955*I", "-1.29776 + 0.72905*I", "-1.29776 - 0.72905*I", "-1.29776 + 0.72905*I", "-1.29776 - 0.72905*I", "-0.47242 - 3.20284*I", "-0.47242 + 3.20284*I", -3.76357, -3.76357, "-5.23887 - 0.57053*I", "-5.23887 + 0.57053*I", "-0.85292 + 6.04614*I", "-0.85292 - 6.04614*I", "-5.23887 - 0.57053*I", "-5.23887 + 0.57053*I", "-8.21063 - 5.43973*I", "-8.21063 + 5.43973*I", "-3.32961 + 8.73955*I", "-3.32961 - 8.73955*I", "-8.21063 + 5.43973*I", "-8.21063 - 5.43973*I", "0.36198 + 2.83643*I", "0.36198 - 2.83643*I", "1.18281 - 1.86595*I", "1.18281 + 1.86595*I", "-0.47242 + 3.20284*I", "-0.47242 - 3.20284*I" ], "uPolysN":[ "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "1 + u + 9*u^2 + 12*u^3 + 56*u^4 + 114*u^5 + 296*u^6 + 742*u^7 + 1714*u^8 + 3079*u^9 + 4378*u^10 + 5214*u^11 + 6562*u^12 + 10931*u^13 + 20752*u^14 + 35623*u^15 + 52132*u^16 + 67381*u^17 + 83179*u^18 + 105328*u^19 + 137196*u^20 + 173236*u^21 + 199654*u^22 + 202876*u^23 + 178942*u^24 + 136004*u^25 + 88603*u^26 + 49156*u^27 + 23002*u^28 + 8948*u^29 + 2831*u^30 + 704*u^31 + 130*u^32 + 16*u^33 + u^34", "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "73 - 183*u + 141*u^2 - 276*u^3 + 530*u^4 + 92*u^5 - 226*u^6 - 1128*u^7 + 68*u^8 + 2169*u^9 + 396*u^10 - 2500*u^11 - 508*u^12 + 895*u^13 + 1124*u^14 + 235*u^15 - 412*u^16 - 1221*u^17 + 23*u^18 + 724*u^19 + 584*u^20 - 368*u^21 - 336*u^22 - 82*u^23 + 170*u^24 + 90*u^25 + 11*u^26 - 64*u^27 - 14*u^28 + 4*u^29 + 15*u^30 - 2*u^32 - 2*u^33 + u^34", "4 + 20*u + 73*u^2 + 192*u^3 + 436*u^4 + 840*u^5 + 1452*u^6 + 2228*u^7 + 3096*u^8 + 3852*u^9 + 4282*u^10 + 4136*u^11 + 3292*u^12 + 1748*u^13 - 238*u^14 - 2340*u^15 - 4034*u^16 - 5032*u^17 - 5061*u^18 - 4268*u^19 - 2880*u^20 - 1340*u^21 + 14*u^22 + 912*u^23 + 1342*u^24 + 1332*u^25 + 1115*u^26 + 772*u^27 + 490*u^28 + 256*u^29 + 127*u^30 + 48*u^31 + 18*u^32 + 4*u^33 + u^34", "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "73 - 183*u + 141*u^2 - 276*u^3 + 530*u^4 + 92*u^5 - 226*u^6 - 1128*u^7 + 68*u^8 + 2169*u^9 + 396*u^10 - 2500*u^11 - 508*u^12 + 895*u^13 + 1124*u^14 + 235*u^15 - 412*u^16 - 1221*u^17 + 23*u^18 + 724*u^19 + 584*u^20 - 368*u^21 - 336*u^22 - 82*u^23 + 170*u^24 + 90*u^25 + 11*u^26 - 64*u^27 - 14*u^28 + 4*u^29 + 15*u^30 - 2*u^32 - 2*u^33 + u^34", "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "4 + 20*u + 73*u^2 + 192*u^3 + 436*u^4 + 840*u^5 + 1452*u^6 + 2228*u^7 + 3096*u^8 + 3852*u^9 + 4282*u^10 + 4136*u^11 + 3292*u^12 + 1748*u^13 - 238*u^14 - 2340*u^15 - 4034*u^16 - 5032*u^17 - 5061*u^18 - 4268*u^19 - 2880*u^20 - 1340*u^21 + 14*u^22 + 912*u^23 + 1342*u^24 + 1332*u^25 + 1115*u^26 + 772*u^27 + 490*u^28 + 256*u^29 + 127*u^30 + 48*u^31 + 18*u^32 + 4*u^33 + u^34", "1 + u + 9*u^2 + 12*u^3 + 56*u^4 + 114*u^5 + 296*u^6 + 742*u^7 + 1714*u^8 + 3079*u^9 + 4378*u^10 + 5214*u^11 + 6562*u^12 + 10931*u^13 + 20752*u^14 + 35623*u^15 + 52132*u^16 + 67381*u^17 + 83179*u^18 + 105328*u^19 + 137196*u^20 + 173236*u^21 + 199654*u^22 + 202876*u^23 + 178942*u^24 + 136004*u^25 + 88603*u^26 + 49156*u^27 + 23002*u^28 + 8948*u^29 + 2831*u^30 + 704*u^31 + 130*u^32 + 16*u^33 + u^34" ], "uPolys":[ "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "1 + u + 9*u^2 + 12*u^3 + 56*u^4 + 114*u^5 + 296*u^6 + 742*u^7 + 1714*u^8 + 3079*u^9 + 4378*u^10 + 5214*u^11 + 6562*u^12 + 10931*u^13 + 20752*u^14 + 35623*u^15 + 52132*u^16 + 67381*u^17 + 83179*u^18 + 105328*u^19 + 137196*u^20 + 173236*u^21 + 199654*u^22 + 202876*u^23 + 178942*u^24 + 136004*u^25 + 88603*u^26 + 49156*u^27 + 23002*u^28 + 8948*u^29 + 2831*u^30 + 704*u^31 + 130*u^32 + 16*u^33 + u^34", "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "73 - 183*u + 141*u^2 - 276*u^3 + 530*u^4 + 92*u^5 - 226*u^6 - 1128*u^7 + 68*u^8 + 2169*u^9 + 396*u^10 - 2500*u^11 - 508*u^12 + 895*u^13 + 1124*u^14 + 235*u^15 - 412*u^16 - 1221*u^17 + 23*u^18 + 724*u^19 + 584*u^20 - 368*u^21 - 336*u^22 - 82*u^23 + 170*u^24 + 90*u^25 + 11*u^26 - 64*u^27 - 14*u^28 + 4*u^29 + 15*u^30 - 2*u^32 - 2*u^33 + u^34", "(-2 - 5*u - 12*u^2 - 18*u^3 - 28*u^4 - 32*u^5 - 34*u^6 - 28*u^7 - 16*u^8 - u^9 + 12*u^10 + 22*u^11 + 20*u^12 + 19*u^13 + 10*u^14 + 7*u^15 + 2*u^16 + u^17)^2", "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "73 - 183*u + 141*u^2 - 276*u^3 + 530*u^4 + 92*u^5 - 226*u^6 - 1128*u^7 + 68*u^8 + 2169*u^9 + 396*u^10 - 2500*u^11 - 508*u^12 + 895*u^13 + 1124*u^14 + 235*u^15 - 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7428*u^20 - 212320*u^21 - 321746*u^22 - 256376*u^23 - 95010*u^24 + 38308*u^25 + 87371*u^26 + 73512*u^27 + 41218*u^28 + 16980*u^29 + 5247*u^30 + 1200*u^31 + 194*u^32 + 20*u^33 + u^34", "5329 + 12903*u - 3755*u^2 - 73960*u^3 - 134968*u^4 - 166*u^5 + 650500*u^6 + 2314038*u^7 + 5477282*u^8 + 9464321*u^9 + 11646582*u^10 + 9035962*u^11 + 1965582*u^12 - 5323663*u^13 - 8342488*u^14 - 6511683*u^15 - 2620112*u^16 + 325471*u^17 + 1412755*u^18 + 1214748*u^19 + 655996*u^20 + 207164*u^21 + 1202*u^22 - 45628*u^23 - 27454*u^24 - 9216*u^25 - 1937*u^26 - 1016*u^27 - 642*u^28 - 220*u^29 + 47*u^30 + 72*u^31 + 34*u^32 + 8*u^33 + u^34", "1 + 5*u + 15*u^2 + 50*u^3 + 144*u^4 + 166*u^5 - 270*u^6 - 1622*u^7 - 4838*u^8 - 5989*u^9 + 17438*u^10 + 93540*u^11 + 253320*u^12 + 564533*u^13 + 934112*u^14 + 1221809*u^15 + 1472990*u^16 + 1463569*u^17 + 1403903*u^18 + 1142532*u^19 + 906812*u^20 + 616500*u^21 + 414108*u^22 + 235732*u^23 + 135514*u^24 + 63808*u^25 + 31453*u^26 + 11952*u^27 + 5048*u^28 + 1486*u^29 + 535*u^30 + 112*u^31 + 34*u^32 + 4*u^33 + u^34", "2921 + 12071*u + 28685*u^2 + 25374*u^3 + 50382*u^4 + 60592*u^5 + 91222*u^6 - 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90076*u^22 - 72332*u^23 - 26578*u^24 + 31880*u^25 + 23123*u^26 - 6581*u^27 - 5675*u^28 + 728*u^29 + 680*u^30 - 42*u^31 - 41*u^32 + u^33 + u^34", "45263 - 235183*u + 545851*u^2 + 193302*u^3 + 3087360*u^4 + 5800018*u^5 + 11894986*u^6 + 16118428*u^7 + 26357290*u^8 + 25381403*u^9 + 25048078*u^10 + 21674290*u^11 + 19384860*u^12 + 15487579*u^13 + 17229228*u^14 + 11572815*u^15 + 9299338*u^16 + 3002175*u^17 + 1874599*u^18 - 706174*u^19 - 527114*u^20 - 610408*u^21 - 102088*u^22 + 117152*u^23 + 189344*u^24 + 116388*u^25 + 45271*u^26 + 7384*u^27 - 2344*u^28 - 1724*u^29 - 451*u^30 + 8*u^31 + 38*u^32 + 10*u^33 + u^34", "21167 + 81235*u + 111953*u^2 + 2436*u^3 - 134238*u^4 - 110990*u^5 - 184664*u^6 - 851232*u^7 - 1624032*u^8 - 1330043*u^9 - 96378*u^10 + 1156228*u^11 + 3547222*u^12 + 8044019*u^13 + 11644616*u^14 + 11505311*u^15 + 9534854*u^16 + 8174959*u^17 + 6915597*u^18 + 5155580*u^19 + 3541894*u^20 + 2365408*u^21 + 1429496*u^22 + 735546*u^23 + 335130*u^24 + 141856*u^25 + 54247*u^26 + 18472*u^27 + 5914*u^28 + 1812*u^29 + 511*u^30 + 124*u^31 + 26*u^32 + 6*u^33 + u^34", "1 + 5*u + 15*u^2 + 50*u^3 + 144*u^4 + 166*u^5 - 270*u^6 - 1622*u^7 - 4838*u^8 - 5989*u^9 + 17438*u^10 + 93540*u^11 + 253320*u^12 + 564533*u^13 + 934112*u^14 + 1221809*u^15 + 1472990*u^16 + 1463569*u^17 + 1403903*u^18 + 1142532*u^19 + 906812*u^20 + 616500*u^21 + 414108*u^22 + 235732*u^23 + 135514*u^24 + 63808*u^25 + 31453*u^26 + 11952*u^27 + 5048*u^28 + 1486*u^29 + 535*u^30 + 112*u^31 + 34*u^32 + 4*u^33 + u^34", "599 + 2444*u + 1993*u^2 - 11238*u^3 - 35952*u^4 - 4526*u^5 + 294226*u^6 + 1076696*u^7 + 2383452*u^8 + 3760001*u^9 + 4549569*u^10 + 4449511*u^11 + 3799978*u^12 + 3252798*u^13 + 3097314*u^14 + 2871036*u^15 + 2562206*u^16 + 2064634*u^17 + 1463605*u^18 + 1047398*u^19 + 704040*u^20 + 412572*u^21 + 257400*u^22 + 139564*u^23 + 67780*u^24 + 35962*u^25 + 13749*u^26 + 5945*u^27 + 2393*u^28 + 490*u^29 + 338*u^30 + 6*u^31 + 29*u^32 - u^33 + u^34", "73 - 183*u + 141*u^2 - 276*u^3 + 530*u^4 + 92*u^5 - 226*u^6 - 1128*u^7 + 68*u^8 + 2169*u^9 + 396*u^10 - 2500*u^11 - 508*u^12 + 895*u^13 + 1124*u^14 + 235*u^15 - 412*u^16 - 1221*u^17 + 23*u^18 + 724*u^19 + 584*u^20 - 368*u^21 - 336*u^22 - 82*u^23 + 170*u^24 + 90*u^25 + 11*u^26 - 64*u^27 - 14*u^28 + 4*u^29 + 15*u^30 - 2*u^32 - 2*u^33 + u^34", "1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34", "5329 + 12903*u - 3755*u^2 - 73960*u^3 - 134968*u^4 - 166*u^5 + 650500*u^6 + 2314038*u^7 + 5477282*u^8 + 9464321*u^9 + 11646582*u^10 + 9035962*u^11 + 1965582*u^12 - 5323663*u^13 - 8342488*u^14 - 6511683*u^15 - 2620112*u^16 + 325471*u^17 + 1412755*u^18 + 1214748*u^19 + 655996*u^20 + 207164*u^21 + 1202*u^22 - 45628*u^23 - 27454*u^24 - 9216*u^25 - 1937*u^26 - 1016*u^27 - 642*u^28 - 220*u^29 + 47*u^30 + 72*u^31 + 34*u^32 + 8*u^33 + u^34", "1 - 17*u + 169*u^2 - 1228*u^3 + 7672*u^4 - 35798*u^5 + 118012*u^6 - 265070*u^7 + 650698*u^8 - 1621647*u^9 + 3277742*u^10 - 6041118*u^11 + 10105922*u^12 - 14092899*u^13 + 16577336*u^14 - 16802951*u^15 + 14854420*u^16 - 11709553*u^17 + 8322271*u^18 - 5409320*u^19 + 3246360*u^20 - 1808764*u^21 + 944210*u^22 - 460304*u^23 + 211282*u^24 - 90424*u^25 + 36715*u^26 - 13568*u^27 + 4978*u^28 - 1508*u^29 + 511*u^30 - 112*u^31 + 34*u^32 - 4*u^33 + u^34", "1 + u + 9*u^2 + 12*u^3 + 56*u^4 + 114*u^5 + 296*u^6 + 742*u^7 + 1714*u^8 + 3079*u^9 + 4378*u^10 + 5214*u^11 + 6562*u^12 + 10931*u^13 + 20752*u^14 + 35623*u^15 + 52132*u^16 + 67381*u^17 + 83179*u^18 + 105328*u^19 + 137196*u^20 + 173236*u^21 + 199654*u^22 + 202876*u^23 + 178942*u^24 + 136004*u^25 + 88603*u^26 + 49156*u^27 + 23002*u^28 + 8948*u^29 + 2831*u^30 + 704*u^31 + 130*u^32 + 16*u^33 + u^34", "35389 - 40288*u + 308539*u^2 + 244952*u^3 + 988954*u^4 + 720278*u^5 + 867980*u^6 + 115294*u^7 - 336042*u^8 - 561243*u^9 - 624853*u^10 - 296891*u^11 - 123622*u^12 - 38974*u^13 + 130304*u^14 + 51796*u^15 + 147058*u^16 + 119972*u^17 + 143281*u^18 + 113646*u^19 + 94864*u^20 + 65204*u^21 + 37244*u^22 + 23374*u^23 + 9918*u^24 + 5044*u^25 + 1969*u^26 + 755*u^27 + 307*u^28 + 86*u^29 + 64*u^30 + 13*u^32 - u^33 + u^34", "1756 - 4442*u + 18791*u^2 - 79558*u^3 + 231682*u^4 - 518892*u^5 + 874316*u^6 - 1307090*u^7 + 1889554*u^8 - 2754052*u^9 + 4135888*u^10 - 5212639*u^11 + 5468845*u^12 - 7254094*u^13 + 11399803*u^14 - 12366634*u^15 + 10778639*u^16 - 11641170*u^17 + 13266305*u^18 - 10004066*u^19 + 5318410*u^20 - 1604198*u^21 + 69232*u^22 + 77064*u^23 + 67612*u^24 - 76144*u^25 + 36686*u^26 - 12036*u^27 + 3793*u^28 - 1097*u^29 + 292*u^30 - 65*u^31 + 20*u^32 - 5*u^33 + u^34", "289 + 3026*u + 14585*u^2 + 40396*u^3 + 72828*u^4 + 104188*u^5 + 159604*u^6 + 233832*u^7 + 249442*u^8 + 226392*u^9 + 242658*u^10 + 200852*u^11 + 58368*u^12 - 12832*u^13 - 9880*u^14 - 74340*u^15 - 121653*u^16 - 48126*u^17 + 24107*u^18 + 20292*u^19 + 21184*u^20 + 41024*u^21 + 22344*u^22 - 17652*u^23 - 25438*u^24 - 5904*u^25 + 6730*u^26 + 4920*u^27 + 380*u^28 - 860*u^29 - 372*u^30 - 12*u^31 + 33*u^32 + 10*u^33 + u^34", "4577 - 2528*u - 29181*u^2 + 1916*u^3 + 66150*u^4 + 6272*u^5 - 63370*u^6 + 39788*u^7 + 78074*u^8 - 43307*u^9 + 2535*u^10 + 95951*u^11 - 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u" ], [ 1, "-1 - u" ], "{1, 0}", [ 0, "u" ], [ 0, "u" ], [ "u", "1 + u" ], [ "u", "2 + u" ], [ 0, "-u" ], [ 0, "-u" ] ], "Obstruction":1, "ComplexVolumeN":[ "0. - 4.05977*I", "0. + 4.05977*I" ], "uPolysN":[ "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "1 - u + u^2", "u^2", "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2" ], "uPolys":[ "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "1 - u + u^2", "u^2", "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2" ], "aCuspShape":"2 + 2*(1 + 4*u)", "RepresentationsN":[ [ "u->-0.5 + 0.866025 I", "a->0", "b->0.5 - 0.866025 I" ], [ "u->-0.5 - 0.866025 I", "a->0", "b->0.5 + 0.866025 I" ] ], "Epsilon":2.44949, "uPolys_ij_N":[ "u^2", "1 + u + u^2", "3 + 3*u + u^2", "1 - u + u^2", "1 + u + u^2", "4 + 2*u + u^2", "1 - u + u^2", "3 - 3*u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "MinRepresentationVolume":[ "{1, 2}", 4.05977 ], "ij_list":[ [ "{2, 7}", "{5, 6}", "{5, 9}", "{5, 10}", "{6, 9}", "{6, 10}", "{9, 10}" ], [ "{1, 7}", "{2, 9}", "{2, 10}" ], [ "{1, 3}" ], [ "{1, 8}", "{1, 9}", "{1, 10}", "{2, 8}", "{3, 9}", "{3, 10}", "{4, 9}", "{4, 10}" ], [ "{1, 5}", "{1, 6}", "{2, 3}", "{3, 5}", "{3, 6}", "{3, 7}", "{4, 5}", "{4, 6}", "{7, 8}" ], [ "{1, 4}" ], [ "{1, 2}", "{2, 4}", "{2, 5}", "{2, 6}", "{3, 4}", "{3, 8}", "{4, 7}", "{5, 7}", "{5, 8}", "{6, 7}", "{6, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{4, 8}" ] ], "SortedReprnIndices":"{2, 1}", "aCuspShapeN":[ "0``4.309894379144197 + 6.9282032302755091741`5.150514997831991*I", "0``4.309894379144197 - 6.9282032302755091741`5.150514997831991*I" ], "Abelian":false }, { "IdealName":"J10_60_3", "Generators":[ "1 + b", "a", "1 + u + u^2" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.3713e-2, "TimingZeroDimVars":6.604700000000001e-2, "TimingmagmaVCompNormalize":6.7403e-2, "TimingNumberOfSols":2.7774e-2, "TimingIsRadical":1.7230000000000001e-3, "TimingArcColoring":6.4113e-2, "TimingObstruction":1.222e-3, "TimingComplexVolumeN":2.64987, "TimingaCuspShapeN":9.963e-3, "TiminguValues":0.646876, "TiminguPolysN":3.3800000000000003e-4, "TiminguPolys":0.829517, "TimingaCuspShape":0.108594, "TimingRepresentationsN":2.8695e-2, "TiminguValues_ij":0.151146, "TiminguPolys_ij_N":4.06e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ "-1 - u", -2 ], [ "-u", "-1 - u" ], [ 1, "-1 - u" ], "{1, 0}", [ 0, "u" ], [ 0, "u" ], [ "u", "1 + u" ], [ "u", "1 + 2*u" ], "{0, -1}", "{0, -1}" ], "Obstruction":1, "ComplexVolumeN":"{0, 0}", "uPolysN":[ "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "1 - u + u^2", "u^2", "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2" ], "uPolys":[ "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "1 - u + u^2", "u^2", "1 - u + u^2", "1 - u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2" ], "aCuspShape":3, "RepresentationsN":[ [ "u->-0.5 + 0.866025 I", "a->0", "b->-1." ], [ "u->-0.5 - 0.866025 I", "a->0", "b->-1." ] ], "Epsilon":1.73205, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "4 - 4*u + u^2", "1 + u + u^2", "1 - u + u^2", "1 + u + u^2", "4 + 2*u + u^2", "1 - u + u^2", "3 - 3*u + u^2", "3 + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{3, 9}", "{3, 10}", "{4, 9}", "{4, 10}" ], [ "{2, 7}", "{5, 6}", "{5, 9}", "{5, 10}", "{6, 9}", "{6, 10}", "{9, 10}" ], [ "{1, 5}", "{1, 6}" ], [ "{1, 4}" ], [ "{7, 8}" ], [ "{1, 2}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{1, 7}", "{2, 3}", "{2, 9}", "{2, 10}", "{3, 5}", "{3, 6}", "{3, 7}", "{4, 5}", "{4, 6}" ], [ "{3, 8}" ], [ "{1, 8}", "{1, 9}", "{1, 10}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 8}", "{3, 4}", "{4, 7}", "{5, 7}", "{5, 8}", "{6, 7}", "{6, 8}" ], [ "{1, 3}" ], [ "{4, 8}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":[ 3.0, 3.0 ], "Abelian":false }, { "IdealName":"abJ10_60_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":8.1278e-2, "TimingZeroDimVars":6.6528e-2, "TimingmagmaVCompNormalize":6.7833e-2, "TimingNumberOfSols":2.6733e-2, "TimingIsRadical":1.7980000000000001e-3, "TimingArcColoring":5.8874e-2, "TimingObstruction":4.2800000000000005e-4, "TimingComplexVolumeN":0.600709, "TimingaCuspShapeN":4.926000000000002e-3, "TiminguValues":0.653264, "TiminguPolysN":7.500000000000002e-5, "TiminguPolys":0.795226, "TimingaCuspShape":8.9628e-2, "TimingRepresentationsN":2.5733000000000002e-2, "TiminguValues_ij":0.142514, "TiminguPoly_ij":0.150604, "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)^2*(1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12)*(1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34)", "(1 - u + u^2)^2*(1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12)*(1 + u + 9*u^2 + 12*u^3 + 56*u^4 + 114*u^5 + 296*u^6 + 742*u^7 + 1714*u^8 + 3079*u^9 + 4378*u^10 + 5214*u^11 + 6562*u^12 + 10931*u^13 + 20752*u^14 + 35623*u^15 + 52132*u^16 + 67381*u^17 + 83179*u^18 + 105328*u^19 + 137196*u^20 + 173236*u^21 + 199654*u^22 + 202876*u^23 + 178942*u^24 + 136004*u^25 + 88603*u^26 + 49156*u^27 + 23002*u^28 + 8948*u^29 + 2831*u^30 + 704*u^31 + 130*u^32 + 16*u^33 + u^34)", "(1 + u + u^2)^2*(1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12)*(1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34)", "(1 - u + u^2)^2*(1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12)*(73 - 183*u + 141*u^2 - 276*u^3 + 530*u^4 + 92*u^5 - 226*u^6 - 1128*u^7 + 68*u^8 + 2169*u^9 + 396*u^10 - 2500*u^11 - 508*u^12 + 895*u^13 + 1124*u^14 + 235*u^15 - 412*u^16 - 1221*u^17 + 23*u^18 + 724*u^19 + 584*u^20 - 368*u^21 - 336*u^22 - 82*u^23 + 170*u^24 + 90*u^25 + 11*u^26 - 64*u^27 - 14*u^28 + 4*u^29 + 15*u^30 - 2*u^32 - 2*u^33 + u^34)", "u^4*(4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12)*(-2 - 5*u - 12*u^2 - 18*u^3 - 28*u^4 - 32*u^5 - 34*u^6 - 28*u^7 - 16*u^8 - u^9 + 12*u^10 + 22*u^11 + 20*u^12 + 19*u^13 + 10*u^14 + 7*u^15 + 2*u^16 + u^17)^2", "(1 - u + u^2)^2*(1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12)*(1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34)", "(1 - u + u^2)^2*(1 + 2*u + 3*u^2 - 8*u^3 + 6*u^4 + 4*u^5 - 12*u^6 - 5*u^7 + 11*u^8 + 3*u^9 - 4*u^10 - u^11 + u^12)*(73 - 183*u + 141*u^2 - 276*u^3 + 530*u^4 + 92*u^5 - 226*u^6 - 1128*u^7 + 68*u^8 + 2169*u^9 + 396*u^10 - 2500*u^11 - 508*u^12 + 895*u^13 + 1124*u^14 + 235*u^15 - 412*u^16 - 1221*u^17 + 23*u^18 + 724*u^19 + 584*u^20 - 368*u^21 - 336*u^22 - 82*u^23 + 170*u^24 + 90*u^25 + 11*u^26 - 64*u^27 - 14*u^28 + 4*u^29 + 15*u^30 - 2*u^32 - 2*u^33 + u^34)", "(1 + u + u^2)^2*(1 + u^2 + 2*u^3 + 2*u^4 + 4*u^5 + 6*u^6 + 5*u^7 + 7*u^8 + 3*u^9 + 4*u^10 + u^11 + u^12)*(1 + 3*u + 5*u^2 + 4*u^3 + 4*u^4 + 6*u^5 + 12*u^6 + 18*u^7 + 38*u^8 + 75*u^9 + 134*u^10 + 224*u^11 + 334*u^12 + 473*u^13 + 636*u^14 + 781*u^15 + 940*u^16 + 1039*u^17 + 1119*u^18 + 1136*u^19 + 1096*u^20 + 1016*u^21 + 894*u^22 + 740*u^23 + 606*u^24 + 432*u^25 + 335*u^26 + 198*u^27 + 146*u^28 + 68*u^29 + 47*u^30 + 16*u^31 + 10*u^32 + 2*u^33 + u^34)", "u^4*(4 - 12*u + 16*u^2 - 10*u^3 + 5*u^4 - 12*u^5 + 30*u^6 - 44*u^7 + 43*u^8 - 30*u^9 + 15*u^10 - 5*u^11 + u^12)*(-2 - 5*u - 12*u^2 - 18*u^3 - 28*u^4 - 32*u^5 - 34*u^6 - 28*u^7 - 16*u^8 - u^9 + 12*u^10 + 22*u^11 + 20*u^12 + 19*u^13 + 10*u^14 + 7*u^15 + 2*u^16 + u^17)^2", "(1 - u + u^2)^2*(1 + 2*u + 5*u^2 + 12*u^3 + 14*u^4 + 10*u^5 + 22*u^6 + 49*u^7 + 63*u^8 + 49*u^9 + 24*u^10 + 7*u^11 + u^12)*(1 + u + 9*u^2 + 12*u^3 + 56*u^4 + 114*u^5 + 296*u^6 + 742*u^7 + 1714*u^8 + 3079*u^9 + 4378*u^10 + 5214*u^11 + 6562*u^12 + 10931*u^13 + 20752*u^14 + 35623*u^15 + 52132*u^16 + 67381*u^17 + 83179*u^18 + 105328*u^19 + 137196*u^20 + 173236*u^21 + 199654*u^22 + 202876*u^23 + 178942*u^24 + 136004*u^25 + 88603*u^26 + 49156*u^27 + 23002*u^28 + 8948*u^29 + 2831*u^30 + 704*u^31 + 130*u^32 + 16*u^33 + u^34)" ], "RileyPolyC":[ "(1 + y + y^2)^2*(1 + 2*y + 5*y^2 + 12*y^3 + 14*y^4 + 10*y^5 + 22*y^6 + 49*y^7 + 63*y^8 + 49*y^9 + 24*y^10 + 7*y^11 + y^12)*(1 + y + 9*y^2 + 12*y^3 + 56*y^4 + 114*y^5 + 296*y^6 + 742*y^7 + 1714*y^8 + 3079*y^9 + 4378*y^10 + 5214*y^11 + 6562*y^12 + 10931*y^13 + 20752*y^14 + 35623*y^15 + 52132*y^16 + 67381*y^17 + 83179*y^18 + 105328*y^19 + 137196*y^20 + 173236*y^21 + 199654*y^22 + 202876*y^23 + 178942*y^24 + 136004*y^25 + 88603*y^26 + 49156*y^27 + 23002*y^28 + 8948*y^29 + 2831*y^30 + 704*y^31 + 130*y^32 + 16*y^33 + y^34)", "(1 + y + y^2)^2*(1 + 6*y + 5*y^2 + 106*y^4 - 178*y^5 + 306*y^6 - 95*y^7 + 111*y^8 - 19*y^9 + 16*y^10 - y^11 + y^12)*(1 + 17*y + 169*y^2 + 1228*y^3 + 7672*y^4 + 35798*y^5 + 118012*y^6 + 265070*y^7 + 650698*y^8 + 1621647*y^9 + 3277742*y^10 + 6041118*y^11 + 10105922*y^12 + 14092899*y^13 + 16577336*y^14 + 16802951*y^15 + 14854420*y^16 + 11709553*y^17 + 8322271*y^18 + 5409320*y^19 + 3246360*y^20 + 1808764*y^21 + 944210*y^22 + 460304*y^23 + 211282*y^24 + 90424*y^25 + 36715*y^26 + 13568*y^27 + 4978*y^28 + 1508*y^29 + 511*y^30 + 112*y^31 + 34*y^32 + 4*y^33 + y^34)", "(1 + y + y^2)^2*(1 + 2*y + 5*y^2 + 12*y^3 + 14*y^4 + 10*y^5 + 22*y^6 + 49*y^7 + 63*y^8 + 49*y^9 + 24*y^10 + 7*y^11 + y^12)*(1 + y + 9*y^2 + 12*y^3 + 56*y^4 + 114*y^5 + 296*y^6 + 742*y^7 + 1714*y^8 + 3079*y^9 + 4378*y^10 + 5214*y^11 + 6562*y^12 + 10931*y^13 + 20752*y^14 + 35623*y^15 + 52132*y^16 + 67381*y^17 + 83179*y^18 + 105328*y^19 + 137196*y^20 + 173236*y^21 + 199654*y^22 + 202876*y^23 + 178942*y^24 + 136004*y^25 + 88603*y^26 + 49156*y^27 + 23002*y^28 + 8948*y^29 + 2831*y^30 + 704*y^31 + 130*y^32 + 16*y^33 + y^34)", "(1 + y + y^2)^2*(1 + 2*y + 53*y^2 - 68*y^3 + 70*y^4 - 194*y^5 + 346*y^6 - 371*y^7 + 267*y^8 - 131*y^9 + 44*y^10 - 9*y^11 + y^12)*(5329 - 12903*y - 3755*y^2 + 73960*y^3 - 134968*y^4 + 166*y^5 + 650500*y^6 - 2314038*y^7 + 5477282*y^8 - 9464321*y^9 + 11646582*y^10 - 9035962*y^11 + 1965582*y^12 + 5323663*y^13 - 8342488*y^14 + 6511683*y^15 - 2620112*y^16 - 325471*y^17 + 1412755*y^18 - 1214748*y^19 + 655996*y^20 - 207164*y^21 + 1202*y^22 + 45628*y^23 - 27454*y^24 + 9216*y^25 - 1937*y^26 + 1016*y^27 - 642*y^28 + 220*y^29 + 47*y^30 - 72*y^31 + 34*y^32 - 8*y^33 + y^34)", "y^4*(16 - 16*y + 56*y^2 + 12*y^3 + 33*y^4 + 52*y^5 + 42*y^6 + 6*y^7 - y^8 + 10*y^9 + 11*y^10 + 5*y^11 + y^12)*(-4 - 23*y - 76*y^2 - 164*y^3 - 232*y^4 - 198*y^5 - 76*y^6 - 30*y^7 - 178*y^8 - 357*y^9 - 304*y^10 - 34*y^11 + 190*y^12 + 219*y^13 + 130*y^14 + 47*y^15 + 10*y^16 + y^17)^2", "(1 + y + y^2)^2*(1 + 2*y + 5*y^2 + 12*y^3 + 14*y^4 + 10*y^5 + 22*y^6 + 49*y^7 + 63*y^8 + 49*y^9 + 24*y^10 + 7*y^11 + y^12)*(1 + y + 9*y^2 + 12*y^3 + 56*y^4 + 114*y^5 + 296*y^6 + 742*y^7 + 1714*y^8 + 3079*y^9 + 4378*y^10 + 5214*y^11 + 6562*y^12 + 10931*y^13 + 20752*y^14 + 35623*y^15 + 52132*y^16 + 67381*y^17 + 83179*y^18 + 105328*y^19 + 137196*y^20 + 173236*y^21 + 199654*y^22 + 202876*y^23 + 178942*y^24 + 136004*y^25 + 88603*y^26 + 49156*y^27 + 23002*y^28 + 8948*y^29 + 2831*y^30 + 704*y^31 + 130*y^32 + 16*y^33 + y^34)", "(1 + y + y^2)^2*(1 + 2*y + 53*y^2 - 68*y^3 + 70*y^4 - 194*y^5 + 346*y^6 - 371*y^7 + 267*y^8 - 131*y^9 + 44*y^10 - 9*y^11 + y^12)*(5329 - 12903*y - 3755*y^2 + 73960*y^3 - 134968*y^4 + 166*y^5 + 650500*y^6 - 2314038*y^7 + 5477282*y^8 - 9464321*y^9 + 11646582*y^10 - 9035962*y^11 + 1965582*y^12 + 5323663*y^13 - 8342488*y^14 + 6511683*y^15 - 2620112*y^16 - 325471*y^17 + 1412755*y^18 - 1214748*y^19 + 655996*y^20 - 207164*y^21 + 1202*y^22 + 45628*y^23 - 27454*y^24 + 9216*y^25 - 1937*y^26 + 1016*y^27 - 642*y^28 + 220*y^29 + 47*y^30 - 72*y^31 + 34*y^32 - 8*y^33 + y^34)", "(1 + y + y^2)^2*(1 + 2*y + 5*y^2 + 12*y^3 + 14*y^4 + 10*y^5 + 22*y^6 + 49*y^7 + 63*y^8 + 49*y^9 + 24*y^10 + 7*y^11 + y^12)*(1 + y + 9*y^2 + 12*y^3 + 56*y^4 + 114*y^5 + 296*y^6 + 742*y^7 + 1714*y^8 + 3079*y^9 + 4378*y^10 + 5214*y^11 + 6562*y^12 + 10931*y^13 + 20752*y^14 + 35623*y^15 + 52132*y^16 + 67381*y^17 + 83179*y^18 + 105328*y^19 + 137196*y^20 + 173236*y^21 + 199654*y^22 + 202876*y^23 + 178942*y^24 + 136004*y^25 + 88603*y^26 + 49156*y^27 + 23002*y^28 + 8948*y^29 + 2831*y^30 + 704*y^31 + 130*y^32 + 16*y^33 + y^34)", "y^4*(16 - 16*y + 56*y^2 + 12*y^3 + 33*y^4 + 52*y^5 + 42*y^6 + 6*y^7 - y^8 + 10*y^9 + 11*y^10 + 5*y^11 + y^12)*(-4 - 23*y - 76*y^2 - 164*y^3 - 232*y^4 - 198*y^5 - 76*y^6 - 30*y^7 - 178*y^8 - 357*y^9 - 304*y^10 - 34*y^11 + 190*y^12 + 219*y^13 + 130*y^14 + 47*y^15 + 10*y^16 + y^17)^2", "(1 + y + y^2)^2*(1 + 6*y + 5*y^2 + 106*y^4 - 178*y^5 + 306*y^6 - 95*y^7 + 111*y^8 - 19*y^9 + 16*y^10 - y^11 + y^12)*(1 + 17*y + 169*y^2 + 1228*y^3 + 7672*y^4 + 35798*y^5 + 118012*y^6 + 265070*y^7 + 650698*y^8 + 1621647*y^9 + 3277742*y^10 + 6041118*y^11 + 10105922*y^12 + 14092899*y^13 + 16577336*y^14 + 16802951*y^15 + 14854420*y^16 + 11709553*y^17 + 8322271*y^18 + 5409320*y^19 + 3246360*y^20 + 1808764*y^21 + 944210*y^22 + 460304*y^23 + 211282*y^24 + 90424*y^25 + 36715*y^26 + 13568*y^27 + 4978*y^28 + 1508*y^29 + 511*y^30 + 112*y^31 + 34*y^32 + 4*y^33 + y^34)" ] }, "GeometricRepresentation":[ 1.3979999999999999e1, [ "J10_60_0", 1, "{9, 10}" ] ] } }