{ "Index":206, "Name":"10_122", "RolfsenName":"10_122", "DTname":"10a_89", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-8, 10, -12, -16, 14, -18, 20, -2, -6, 4}", "Acode":"{-5, 6, -7, -9, 8, -10, 1, -2, -4, 3}", "PDcode":[ "{1, 8, 2, 9}", "{3, 11, 4, 10}", "{5, 12, 6, 13}", "{7, 16, 8, 17}", "{9, 15, 10, 14}", "{11, 18, 12, 19}", "{13, 1, 14, 20}", "{15, 2, 16, 3}", "{17, 6, 18, 7}", "{19, 5, 20, 4}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{3, 7, 10}", [], [ "{3, -7, 4, 1}", "{10, 3, 1, 1}", "{7, 1, 8, 1}", "{7, -10, 6, 2}", "{3, 6, 2, 2}", "{6, 8, 5, 2}", "{10, -4, 9, 2}" ], "{4, 8}", "{1}", 1 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a*b + b^2 + a^2*u - a^2*u^2 + 2*a*b*u^2 + 2*a^3*b*u^3 - 5*a^2*b^2*u^3 - a^4*b^2*u^3 + 4*a*b^3*u^3 + 3*a^3*b^3*u^3 - b^4*u^3 - 3*a^2*b^4*u^3 + a*b^5*u^3 + a^2*u^4", "-b^2 - u + a*b*u - u^2 - a*b*u^2 - b^2*u^2 - 2*a*b*u^3 + b^2*u^3 + 3*a^2*b^2*u^3 - 4*a*b^3*u^3 - a^3*b^3*u^3 + b^4*u^3 + 2*a^2*b^4*u^3 - a*b^5*u^3 - 2*a*b*u^4 - a^2*u^6", "-a + b + u - a^2*u + a*b*u + a*u^2 + a^2*u^3 + 2*a*b*u^3 - 2*a^3*b*u^3 - b^2*u^3 - 2*a^2*b^2*u^3 + a^4*b^2*u^3 + 2*a*b^3*u^3 - a^2*b^4*u^3 + 2*a^3*b*u^5 - a^2*b^2*u^5 - 5*a^4*b^2*u^5 + 3*a^3*b^3*u^5 + 4*a^5*b^3*u^5 - 3*a^4*b^4*u^5 - a^6*b^4*u^5 + a^5*b^5*u^5", "-b + u - a*b*u + b^2*u - b*u^2 - u^3 + 3*a*b*u^3 - b^2*u^3 - 3*a^2*b^2*u^3 + 2*a*b^3*u^3 + a^3*b^3*u^3 - a^2*b^4*u^3 - a*u^4 - 2*a*b*u^5 + b^2*u^5 + 7*a^2*b^2*u^5 - 4*a*b^3*u^5 - 9*a^3*b^3*u^5 + 6*a^2*b^4*u^5 + 5*a^4*b^4*u^5 - 4*a^3*b^5*u^5 - a^5*b^5*u^5 + a^4*b^6*u^5" ], "TimingForPrimaryIdeals":0.246481 }, "v":{ "CheckEq":[ "1 - a*b + b^2 - v - a*b*v + b^4*v^3 + a*b^5*v^3 - b^6*v^3", "-b^2 - b^2*v + b^6*v^3", "-a + b + v + a*b*v - b^4*v^3 - a*b^5*v^3 - b^6*v^3 + b^8*v^5 + a*b^9*v^5", "-b + b^2*v - b^6*v^3 + b^10*v^5" ], "TimingForPrimaryIdeals":0.100222 }, "PrimaryIdeals":[ { "IdealName":"J10_122_0", "Generators":[ "3 + 6*b + u - 4*u^2 - u^3 - u^4", "1 + a", "3 + 3*u - u^2 + u^3 + u^4 + u^5" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.110757, "TimingZeroDimVars":8.0546e-2, "TimingmagmaVCompNormalize":8.193099999999999e-2, "TimingNumberOfSols":4.8422e-2, "TimingIsRadical":2.787e-3, "TimingArcColoring":7.957900000000001e-2, "TimingObstruction":4.235e-3, "TimingComplexVolumeN":4.590134, "TimingaCuspShapeN":2.5164e-2, "TiminguValues":0.637002, "TiminguPolysN":2.017e-3, "TiminguPolys":0.828124, "TimingaCuspShape":9.9367e-2, "TimingRepresentationsN":4.8719000000000005e-2, "TiminguValues_ij":0.175488, "TiminguPoly_ij":1.170074, "TiminguPolys_ij_N":3.601e-3 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":5, "IsRadical":true, "ArcColoring":[ [ "(-3 + u - 4*u^2 - u^3 - u^4)\/6", "(-3 - u + 4*u^2 + u^3 + u^4)\/6" ], [ "(2 - u + u^4)\/2", "-1 + u^2" ], "{1, 0}", [ 1, "-u^2" ], [ "(5 + 3*u + 2*u^2 - u^3 + u^4)\/6", "(-8 - 7*u - 4*u^2 - 4*u^3 - 3*u^4)\/6" ], [ "-u", "(-1 + u^3)\/2" ], [ 0, "u" ], [ "(3 + 2*u + u^2 + u^3 + u^4)\/3", "(-3 + 2*u - 2*u^2 - 5*u^3 - 2*u^4)\/6" ], [ "(-3 + u + 2*u^2 - u^3 - u^4)\/6", "(-3 - 4*u - 2*u^2 + u^3 - 2*u^4)\/6" ], [ -1, "(-3 - u + 4*u^2 + u^3 + u^4)\/6" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-1.64634 + 10.4206*I", "-1.64634 - 10.4206*I", 1.11365, "-7.9576 - 16.4108*I", "-7.9576 + 16.4108*I" ], "uPolysN":[ "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-4 + 7*u - 3*u^3 + u^5", "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-8\/3 + (28*u)\/3 - 12*u^2 + (26*u^3)\/3 - 4*u^4 + u^5", "-1\/3 + (23*u)\/3 - (41*u^2)\/3 + (35*u^3)\/3 - 5*u^4 + u^5", "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-4 + 7*u - 3*u^3 + u^5", "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-8\/3 + (28*u)\/3 - 12*u^2 + (26*u^3)\/3 - 4*u^4 + u^5", "-1\/3 + (23*u)\/3 - (41*u^2)\/3 + (35*u^3)\/3 - 5*u^4 + u^5" ], "uPolys":[ "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-4 + 7*u - 3*u^3 + u^5", "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "3*(-8 + 28*u - 36*u^2 + 26*u^3 - 12*u^4 + 3*u^5)", "3*(-1 + 23*u - 41*u^2 + 35*u^3 - 15*u^4 + 3*u^5)", "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-4 + 7*u - 3*u^3 + u^5", "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "3*(-8 + 28*u - 36*u^2 + 26*u^3 - 12*u^4 + 3*u^5)", "3*(-1 + 23*u - 41*u^2 + 35*u^3 - 15*u^4 + 3*u^5)" ], "aCuspShape":"2 + (45 - 35*u - 28*u^2 - 7*u^3 + 17*u^4)\/9", "RepresentationsN":[ [ "u->0.860145 + 0.891716 I", "a->-1.", "b->-1.30783 + 1.05747 I" ], [ "u->0.860145 - 0.891716 I", "a->-1.", "b->-1.30783 - 1.05747 I" ], [ "u->-0.724026", "a->-1.", "b->-0.0473103" ], [ "u->-0.99813 + 1.30502 I", "a->-1.", "b->-1.16851 - 1.06085 I" ], [ "u->-0.99813 - 1.30502 I", "a->-1.", "b->-1.16851 + 1.06085 I" ] ], "Epsilon":2.03978, "uPolys_ij":[ "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-9 + 15*u - u^2 + 9*u^3 + u^4 + u^5", "16 + 49*u + 42*u^2 + 23*u^3 + 6*u^4 + u^5", "-4 + 7*u - 3*u^3 + u^5", "9*(-64 + 208*u - 32*u^2 - 20*u^3 + 12*u^4 + 9*u^5)", "9*(1 + 447*u + 101*u^2 + 133*u^3 + 15*u^4 + 9*u^5)", "-1 + 3*u - u^2 + 7*u^3 - 5*u^4 + u^5", "3*(-1 + 23*u - 41*u^2 + 35*u^3 - 15*u^4 + 3*u^5)", "3*(-8 + 28*u - 36*u^2 + 26*u^3 - 12*u^4 + 3*u^5)", "27*(-2248 + 2428*u + 804*u^2 - 142*u^3 + 27*u^5)", "3*(-31 + 37*u + 17*u^2 + 29*u^3 + 9*u^4 + 3*u^5)", "3*(-11 + 37*u - 21*u^2 + 11*u^3 + 15*u^4 + 3*u^5)", "3*(-52 + 72*u + 12*u^2 - 10*u^3 - 3*u^4 + 3*u^5)", "-12 + 12*u - 14*u^2 + 12*u^3 - u^4 + u^5", "9*(-419 + 525*u - 25*u^2 + 133*u^3 + 3*u^4 + 9*u^5)" ], "GeometricComponent":"{4, 5}", "uPolys_ij_N":[ "-3 + 3*u + u^2 + u^3 - u^4 + u^5", "-9 + 15*u - u^2 + 9*u^3 + u^4 + u^5", "16 + 49*u + 42*u^2 + 23*u^3 + 6*u^4 + u^5", "-4 + 7*u - 3*u^3 + u^5", "-64\/9 + (208*u)\/9 - (32*u^2)\/9 - (20*u^3)\/9 + (4*u^4)\/3 + u^5", "1\/9 + (149*u)\/3 + (101*u^2)\/9 + (133*u^3)\/9 + (5*u^4)\/3 + u^5", "-1 + 3*u - u^2 + 7*u^3 - 5*u^4 + u^5", "-1\/3 + (23*u)\/3 - (41*u^2)\/3 + (35*u^3)\/3 - 5*u^4 + u^5", "-8\/3 + (28*u)\/3 - 12*u^2 + (26*u^3)\/3 - 4*u^4 + u^5", "-2248\/27 + (2428*u)\/27 + (268*u^2)\/9 - (142*u^3)\/27 + u^5", "-31\/3 + (37*u)\/3 + (17*u^2)\/3 + (29*u^3)\/3 + 3*u^4 + u^5", "-11\/3 + (37*u)\/3 - 7*u^2 + (11*u^3)\/3 + 5*u^4 + u^5", "-52\/3 + 24*u + 4*u^2 - (10*u^3)\/3 - u^4 + u^5", "-12 + 12*u - 14*u^2 + 12*u^3 - u^4 + u^5", "-419\/9 + (175*u)\/3 - (25*u^2)\/9 + (133*u^3)\/9 + u^4\/3 + u^5" ], "Multiplicity":1, "ij_list":[ [ "{1, 5}", "{2, 5}", "{2, 8}", "{2, 9}", "{3, 7}", "{4, 7}", "{6, 10}", "{7, 10}" ], [ "{1, 2}", "{3, 4}", "{6, 7}", "{8, 9}" ], [ "{2, 3}", "{7, 8}" ], [ "{1, 7}", "{1, 8}", "{2, 6}", "{3, 6}" ], [ "{4, 5}", "{9, 10}" ], [ "{1, 10}", "{5, 6}" ], [ "{1, 9}", "{2, 4}", "{4, 6}", "{7, 9}" ], [ "{1, 3}", "{3, 10}", "{5, 8}", "{6, 8}" ], [ "{4, 9}", "{4, 10}", "{5, 9}" ], [ "{5, 10}" ], [ "{1, 4}", "{2, 10}", "{5, 7}", "{6, 9}" ], [ "{3, 9}", "{4, 8}" ], [ "{1, 6}", "{3, 8}" ], [ "{2, 7}" ], [ "{3, 5}", "{8, 10}" ] ], "SortedReprnIndices":"{5, 4, 1, 2, 3}", "aCuspShapeN":[ "0.4888540864919001468`3.859182603594852 - 9.5486778011822481711`5.149946592938653*I", "0.4888540864919001468`3.859182603594852 + 9.5486778011822481711`5.149946592938653*I", 8.999, "-1.9883733144777809712`4.499342964122401 + 8.6809306772199084723`5.139411326303212*I", "-1.9883733144777809712`4.499342964122401 - 8.6809306772199084723`5.139411326303212*I" ], "Abelian":false }, { "IdealName":"J10_122_1", "Generators":[ "3 + 4*b - u - 5*u^2 + u^3 - 8*u^4 - u^5 - u^6 + 2*u^7 - 3*u^8 + u^9", "1 + a", "1 - 2*u^3 + u^4 + u^5 + 4*u^6 + u^7 + u^8 + u^10" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.107511, "TimingZeroDimVars":7.8252e-2, "TimingmagmaVCompNormalize":7.9815e-2, "TimingNumberOfSols":7.7377e-2, "TimingIsRadical":4.005e-3, "TimingArcColoring":8.4127e-2, "TimingObstruction":1.4902e-2, "TimingComplexVolumeN":8.383042, "TimingaCuspShapeN":5.9252000000000006e-2, "TiminguValues":0.648668, "TiminguPolysN":1.1155e-2, "TiminguPolys":0.829966, "TimingaCuspShape":0.115267, "TimingRepresentationsN":7.4605e-2, "TiminguValues_ij":0.189972, "TiminguPolys_ij_N":2.4525e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":10, "IsRadical":true, "ArcColoring":[ [ "(-1 - u - 5*u^2 + u^3 - 8*u^4 - u^5 - u^6 + 2*u^7 - 3*u^8 + u^9)\/4", "(-3 + u + 5*u^2 - u^3 + 8*u^4 + u^5 + u^6 - 2*u^7 + 3*u^8 - u^9)\/4" ], [ "(1 + u + u^2 + 7*u^3 - 3*u^5 - 3*u^6 + 2*u^7 - u^8 - u^9)\/4", "(-3 + 3*u + 5*u^2 + u^3 - 8*u^4 - 11*u^5 - 5*u^6 - 2*u^7 - u^8 - 3*u^9)\/4" ], "{1, 0}", [ 1, "-u^2" ], [ "(2 + u - 2*u^2 - u^3 - 4*u^4 + 8*u^5 + 3*u^6 + 2*u^7 - 2*u^8 + 3*u^9)\/2", "(-7 + 5*u + u^2 + 7*u^3 + 4*u^4 - 11*u^5 - 7*u^6 - 2*u^7 + 3*u^8 - 5*u^9)\/4" ], [ "-u", "(1 + u + u^2 + 3*u^3 + 9*u^5 + 5*u^6 + 2*u^7 - u^8 + 3*u^9)\/4" ], [ 0, "u" ], [ "(3 + 5*u - 5*u^2 - 5*u^3 - 8*u^4 + 7*u^5 + u^6 + 2*u^7 - 3*u^8 + 3*u^9)\/4", "(-2 - u + 2*u^2 + u^3 + 4*u^4 - 8*u^5 - 3*u^6 - 2*u^7 + 2*u^8 - 3*u^9)\/2" ], [ "(-1 - u - u^2 + u^3 - 8*u^4 - u^5 - u^6 + 2*u^7 - 3*u^8 + u^9)\/4", "(-3 + u + u^2 + 3*u^3 + 2*u^4 - u^5 - u^6 + u^8 - u^9)\/2" ], [ -1, "(-3 + u + 5*u^2 - u^3 + 8*u^4 + u^5 + u^6 - 2*u^7 + 3*u^8 - u^9)\/4" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-7.58413 - 7.68015*I", "-7.58413 + 7.68015*I", -1.88219, -1.88219, "1.94548 - 2.30273*I", "1.94548 + 2.30273*I", "1.94548 - 2.30273*I", "1.94548 + 2.30273*I", "-7.58413 + 7.68015*I", "-7.58413 - 7.68015*I" ], "uPolysN":[ "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "1 - 2*u^4 + 2*u^5 + u^8 - 2*u^9 + u^10", "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "16 - 80*u + 204*u^2 - 332*u^3 + 381*u^4 - 322*u^5 + 205*u^6 - 98*u^7 + 34*u^8 - 8*u^9 + u^10", "19 - 95*u + 247*u^2 - 418*u^3 + 505*u^4 - 451*u^5 + 299*u^6 - 144*u^7 + 48*u^8 - 10*u^9 + u^10", "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "1 - 2*u^4 + 2*u^5 + u^8 - 2*u^9 + u^10", "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "16 - 80*u + 204*u^2 - 332*u^3 + 381*u^4 - 322*u^5 + 205*u^6 - 98*u^7 + 34*u^8 - 8*u^9 + u^10", "19 - 95*u + 247*u^2 - 418*u^3 + 505*u^4 - 451*u^5 + 299*u^6 - 144*u^7 + 48*u^8 - 10*u^9 + u^10" ], "uPolys":[ "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "(1 - u^4 + u^5)^2", "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "(-4 + 10*u - 13*u^2 + 9*u^3 - 4*u^4 + u^5)^2", "19 - 95*u + 247*u^2 - 418*u^3 + 505*u^4 - 451*u^5 + 299*u^6 - 144*u^7 + 48*u^8 - 10*u^9 + u^10", "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "(1 - u^4 + u^5)^2", "1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10", "(-4 + 10*u - 13*u^2 + 9*u^3 - 4*u^4 + u^5)^2", "19 - 95*u + 247*u^2 - 418*u^3 + 505*u^4 - 451*u^5 + 299*u^6 - 144*u^7 + 48*u^8 - 10*u^9 + u^10" ], "aCuspShape":"2 + (-1 + 25*u + 15*u^2 - 9*u^3 + 11*u^5 + 5*u^6 - 10*u^7 + 5*u^8 - u^9)\/4", "RepresentationsN":[ [ "u->-0.186488 + 0.884166 I", "a->-1.", "b->-1.29181 + 1.28122 I" ], [ "u->-0.186488 - 0.884166 I", "a->-1.", "b->-1.29181 - 1.28122 I" ], [ "u->-0.583652 + 0.62709 I", "a->-1.", "b->-1.6813 - 0.732 I" ], [ "u->-0.583652 - 0.62709 I", "a->-1.", "b->-1.6813 + 0.732 I" ], [ "u->-0.837561 + 0.788016 I", "a->-1.", "b->-0.560268 - 0.657796 I" ], [ "u->-0.837561 - 0.788016 I", "a->-1.", "b->-0.560268 + 0.657796 I" ], [ "u->0.656329 + 0.295939 I", "a->-1.", "b->-0.297621 + 1.05069 I" ], [ "u->0.656329 - 0.295939 I", "a->-1.", "b->-0.297621 - 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2*u^4 - 5*u^5 + u^6", "5 + 22*u + 44*u^2 + 12*u^3 + 16*u^4 + 7*u^5 + u^6", "1 + 4*u + 12*u^2 + 18*u^3 + 16*u^4 + 3*u^5 + u^6", "5 + 18*u + 30*u^2 + 28*u^3 + 16*u^4 + 5*u^5 + u^6", "11 + 32*u + 24*u^2 - 8*u^3 - 6*u^4 + u^5 + u^6", "1 - 4*u - 2*u^2 + 10*u^3 + 13*u^4 + 6*u^5 + u^6", "5 - 12*u - 2*u^2 + 12*u^3 + 4*u^4 - 3*u^5 + u^6", "1 - 2*u^2 + 2*u^3 + u^4 - 2*u^5 + u^6", "1 + 2*u + 4*u^2 + 2*u^3 + 2*u^4 - u^5 + u^6", "5 + 18*u + 30*u^2 + 28*u^3 + 16*u^4 + 5*u^5 + u^6", "1 + 4*u + 6*u^2 + 6*u^3 + 5*u^4 + 2*u^5 + u^6", "5 - 12*u - 2*u^2 + 12*u^3 + 4*u^4 - 3*u^5 + u^6", "11 + 32*u + 24*u^2 - 8*u^3 - 6*u^4 + u^5 + u^6" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 3}", "{1, 10}", "{3, 10}", "{5, 6}", "{5, 8}", "{6, 8}" ], [ "{2, 8}", "{2, 9}", "{3, 7}", "{4, 7}" ], [ "{3, 5}", "{8, 10}" ], [ "{3, 4}", "{8, 9}" ], [ "{3, 9}", "{4, 8}" ], [ "{2, 7}" ], [ "{1, 2}", "{6, 7}" ], [ "{2, 10}", "{5, 7}" ], [ "{1, 9}", "{4, 6}" ], [ "{4, 5}", "{9, 10}" ], [ "{3, 8}" ], [ "{1, 7}", "{1, 8}", "{2, 6}", "{3, 6}", "{5, 10}" ], [ "{1, 5}", "{2, 5}", "{6, 10}", "{7, 10}" ], [ "{1, 4}", "{6, 9}" ], [ "{2, 3}", "{4, 9}", "{4, 10}", "{5, 9}", "{7, 8}" ], [ "{1, 6}" ], [ "{2, 4}", "{7, 9}" ] ], "SortedReprnIndices":"{1, 6, 2, 5, 3, 4}", "aCuspShapeN":[ "-9.50975533249338552`5.13018227190475 - 2.9794470664789769461`4.626148602432571*I", "-9.50975533249338552`5.13018227190475 + 2.9794470664789769461`4.626148602432571*I", "-2.9804893350132289596`5.150514997831991 + 0``4.676227425685347*I", "-2.9804893350132289596`5.150514997831991 + 0``4.676227425685347*I", "-9.5097553324933855204`5.13018227190475 + 2.9794470664789769454`4.626148602432571*I", "-9.5097553324933855204`5.13018227190475 - 2.9794470664789769454`4.626148602432571*I" ], "Abelian":false }, { "IdealName":"J10_122_7", "Generators":[ "b", "1 + a", "1 - u^2 + u^3" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.110353, "TimingZeroDimVars":8.0345e-2, "TimingmagmaVCompNormalize":8.171300000000001e-2, "TimingNumberOfSols":3.4567e-2, "TimingIsRadical":2.078e-3, "TimingArcColoring":7.5571e-2, "TimingObstruction":1.753e-3, "TimingComplexVolumeN":1.906107, "TimingaCuspShapeN":1.3536999999999999e-2, "TiminguValues":0.643701, "TiminguPolysN":5.88e-4, "TiminguPolys":0.807153, "TimingaCuspShape":9.2615e-2, "TimingRepresentationsN":3.2898000000000004e-2, "TiminguValues_ij":0.161179, "TiminguPoly_ij":0.515049, "TiminguPolys_ij_N":4.62e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":3, "IsRadical":true, "ArcColoring":[ "{-1, 0}", [ "1 + u^2", "-u^2" ], "{1, 0}", [ 1, "-u^2" ], [ "-u", "u" ], [ "-u", "u" ], [ 0, "u" ], [ "-u", "u" ], [ "-1 + u^2", "1 + u - u^2" ], "{-1, 0}" ], "Obstruction":-1, "ComplexVolumeN":[ "-3.02413 + 2.82812*I", "-3.02413 - 2.82812*I", 1.11345 ], "uPolysN":[ "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "u^3", "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "u^3" ], "uPolys":[ "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "u^3", "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "u^3" ], "aCuspShape":"2 - 4*(-1 + u)", "RepresentationsN":[ [ "u->0.877439 + 0.744862 I", "a->-1.", "b->0" ], [ "u->0.877439 - 0.744862 I", "a->-1.", "b->0" ], [ "u->-0.754878", "a->-1.", "b->0" ] ], "Epsilon":1.48972, "uPolys_ij":[ "u^3", "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "-5 + 4*u - u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3" ], "GeometricComponent":0, "uPolys_ij_N":[ "u^3", "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "-5 + 4*u - u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{1, 3}", "{1, 10}", "{3, 10}", "{5, 6}", "{5, 8}", "{6, 8}" ], [ "{1, 5}", "{1, 6}", "{1, 7}", "{1, 8}", "{2, 5}", "{2, 6}", "{2, 8}", "{2, 9}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{4, 7}", "{5, 10}", "{6, 10}", "{7, 10}", "{8, 10}" ], [ "{2, 3}", "{7, 8}" ], [ "{1, 2}", "{1, 4}", "{2, 10}", "{3, 4}", "{4, 9}", "{4, 10}", "{5, 7}", "{5, 9}", "{6, 7}", "{6, 9}", "{8, 9}" ], [ "{2, 7}" ], [ "{1, 9}", "{2, 4}", "{3, 9}", "{4, 5}", "{4, 6}", "{4, 8}", "{7, 9}", "{9, 10}" ] ], "SortedReprnIndices":"{1, 2, 3}", "aCuspShapeN":[ "2.4902446675066144799`4.95757905065386 - 2.9794470664789769464`5.035472705916891*I", "2.4902446675066144799`4.95757905065386 + 2.9794470664789769464`5.035472705916891*I", 9.0195 ], "Abelian":false }, { "IdealName":"abJ10_122_8", "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":0.110011, "TimingZeroDimVars":7.5328e-2, "TimingmagmaVCompNormalize":7.6663e-2, "TimingNumberOfSols":2.9769e-2, "TimingIsRadical":1.9690000000000003e-3, "TimingArcColoring":6.9565e-2, "TimingObstruction":4.0800000000000005e-4, "TimingComplexVolumeN":0.347413, "TimingaCuspShapeN":4.655e-3, "TiminguValues":0.631502, "TiminguPolysN":7.3e-5, "TiminguPolys":0.799526, "TimingaCuspShape":9.6954e-2, "TimingRepresentationsN":2.8900000000000002e-2, "TiminguValues_ij":0.157979, "TiminguPoly_ij":0.142505, "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 + u^2)*(-1 + u^2 + u^3)*(-3 + 3*u + u^2 + u^3 - u^4 + u^5)*(3 + 2*u^2 + u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u + 4*u^2 + 2*u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10)*(1 + 4*u + 8*u^2 + 8*u^3 + 2*u^4 - 3*u^5 + 3*u^6 + 9*u^7 + 2*u^8 - u^9 + 2*u^10 + u^11 + u^12)*(67 + 26*u + 514*u^2 + 142*u^3 + 1638*u^4 + 334*u^5 + 3120*u^6 + 597*u^7 + 4214*u^8 + 807*u^9 + 4179*u^10 + 682*u^11 + 3025*u^12 + 332*u^13 + 1563*u^14 + 41*u^15 + 587*u^16 - 30*u^17 + 166*u^18 - 15*u^19 + 38*u^20 - 5*u^21 + 5*u^22 - u^23 + u^24)", "(1 - u + u^2)*(1 - u^2 + u^3)^2*(-1 + u^2 + u^3)*(-1 + u + 2*u^2 + u^3)^2*(-4 + 7*u - 3*u^3 + u^5)*(1 - u^4 + u^5)^2*(19 - 24*u - 40*u^2 + 34*u^3 + 66*u^4 - 27*u^5 - 55*u^6 + 3*u^7 + 28*u^8 + 3*u^9 - 6*u^10 - u^11 + u^12)^2*(7 + 30*u + 48*u^2 + 30*u^3 + 16*u^4 + 33*u^5 + 37*u^6 + 27*u^7 + 28*u^8 + 21*u^9 + 8*u^10 + 3*u^11 + u^12)", "(1 + u + u^2)*(-1 + u^2 + u^3)*(-3 + 3*u + u^2 + u^3 - u^4 + u^5)*(3 + 2*u^2 + u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u + 4*u^2 + 2*u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10)*(1 + 4*u + 8*u^2 + 8*u^3 + 2*u^4 - 3*u^5 + 3*u^6 + 9*u^7 + 2*u^8 - u^9 + 2*u^10 + u^11 + u^12)*(67 + 26*u + 514*u^2 + 142*u^3 + 1638*u^4 + 334*u^5 + 3120*u^6 + 597*u^7 + 4214*u^8 + 807*u^9 + 4179*u^10 + 682*u^11 + 3025*u^12 + 332*u^13 + 1563*u^14 + 41*u^15 + 587*u^16 - 30*u^17 + 166*u^18 - 15*u^19 + 38*u^20 - 5*u^21 + 5*u^22 - u^23 + u^24)", "9*u^2*(-1 + 2*u - u^2 + u^3)*(1 + 2*u + u^2 + u^3)^14*(-4 + 10*u - 13*u^2 + 9*u^3 - 4*u^4 + u^5)^2*(-8 + 28*u - 36*u^2 + 26*u^3 - 12*u^4 + 3*u^5)*(13 + 23*u^2 + 14*u^4 + 3*u^6)", "9*u^3*(1 + u)^6*(1 - u + u^2)*(1 + u + u^2)^6*(1 - 2*u + u^3 + u^4)^6*(-1 + 23*u - 41*u^2 + 35*u^3 - 15*u^4 + 3*u^5)*(1 + u - 3*u^2 - 3*u^3 + 11*u^4 - 9*u^5 + 3*u^6)*(19 - 95*u + 247*u^2 - 418*u^3 + 505*u^4 - 451*u^5 + 299*u^6 - 144*u^7 + 48*u^8 - 10*u^9 + u^10)", "(1 + u + u^2)*(-1 + u^2 + u^3)*(-3 + 3*u + u^2 + u^3 - u^4 + u^5)*(3 + 2*u^2 + u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u + 4*u^2 + 2*u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10)*(1 + 4*u + 8*u^2 + 8*u^3 + 2*u^4 - 3*u^5 + 3*u^6 + 9*u^7 + 2*u^8 - u^9 + 2*u^10 + u^11 + u^12)*(67 + 26*u + 514*u^2 + 142*u^3 + 1638*u^4 + 334*u^5 + 3120*u^6 + 597*u^7 + 4214*u^8 + 807*u^9 + 4179*u^10 + 682*u^11 + 3025*u^12 + 332*u^13 + 1563*u^14 + 41*u^15 + 587*u^16 - 30*u^17 + 166*u^18 - 15*u^19 + 38*u^20 - 5*u^21 + 5*u^22 - u^23 + u^24)", "(1 - u + u^2)*(1 - u^2 + u^3)^2*(-1 + u^2 + u^3)*(-1 + u + 2*u^2 + u^3)^2*(-4 + 7*u - 3*u^3 + u^5)*(1 - u^4 + u^5)^2*(19 - 24*u - 40*u^2 + 34*u^3 + 66*u^4 - 27*u^5 - 55*u^6 + 3*u^7 + 28*u^8 + 3*u^9 - 6*u^10 - u^11 + u^12)^2*(7 + 30*u + 48*u^2 + 30*u^3 + 16*u^4 + 33*u^5 + 37*u^6 + 27*u^7 + 28*u^8 + 21*u^9 + 8*u^10 + 3*u^11 + u^12)", "(1 + u + u^2)*(-1 + u^2 + u^3)*(-3 + 3*u + u^2 + u^3 - u^4 + u^5)*(3 + 2*u^2 + u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u + 4*u^2 + 2*u^3 + 2*u^4 - u^5 + u^6)*(1 + 2*u^3 + u^4 - u^5 + 4*u^6 - u^7 + u^8 + u^10)*(1 + 4*u + 8*u^2 + 8*u^3 + 2*u^4 - 3*u^5 + 3*u^6 + 9*u^7 + 2*u^8 - u^9 + 2*u^10 + u^11 + u^12)*(67 + 26*u + 514*u^2 + 142*u^3 + 1638*u^4 + 334*u^5 + 3120*u^6 + 597*u^7 + 4214*u^8 + 807*u^9 + 4179*u^10 + 682*u^11 + 3025*u^12 + 332*u^13 + 1563*u^14 + 41*u^15 + 587*u^16 - 30*u^17 + 166*u^18 - 15*u^19 + 38*u^20 - 5*u^21 + 5*u^22 - u^23 + u^24)", "9*u^2*(-1 + 2*u - u^2 + u^3)*(1 + 2*u + u^2 + u^3)^14*(-4 + 10*u - 13*u^2 + 9*u^3 - 4*u^4 + u^5)^2*(-8 + 28*u - 36*u^2 + 26*u^3 - 12*u^4 + 3*u^5)*(13 + 23*u^2 + 14*u^4 + 3*u^6)", "9*u^3*(1 + u)^6*(1 - u + u^2)*(1 + u + u^2)^6*(1 - 2*u + u^3 + u^4)^6*(-1 + 23*u - 41*u^2 + 35*u^3 - 15*u^4 + 3*u^5)*(1 + u - 3*u^2 - 3*u^3 + 11*u^4 - 9*u^5 + 3*u^6)*(19 - 95*u + 247*u^2 - 418*u^3 + 505*u^4 - 451*u^5 + 299*u^6 - 144*u^7 + 48*u^8 - 10*u^9 + u^10)" ], "RileyPolyC":[ "(1 + y + y^2)*(-1 + 2*y - y^2 + y^3)*(-9 + 15*y - y^2 + 9*y^3 + y^4 + y^5)*(9 + 12*y + 16*y^2 + 13*y^3 + 10*y^4 + 3*y^5 + y^6)*(1 + 4*y + 12*y^2 + 18*y^3 + 16*y^4 + 3*y^5 + y^6)*(1 + 2*y^2 + 4*y^3 + 7*y^4 + 13*y^5 + 16*y^6 + 9*y^7 + 9*y^8 + 2*y^9 + y^10)*(1 + 4*y^2 - 2*y^3 + 32*y^4 - 97*y^5 + 113*y^6 - 67*y^7 + 44*y^8 - 5*y^9 + 10*y^10 + 3*y^11 + y^12)*(4489 + 68200*y + 476304*y^2 + 2064412*y^3 + 6329180*y^4 + 14790030*y^5 + 27577378*y^6 + 42198469*y^7 + 53914524*y^8 + 58145263*y^9 + 53295369*y^10 + 41676978*y^11 + 27855307*y^12 + 15919678*y^13 + 7781031*y^14 + 3253209*y^15 + 1164457*y^16 + 357294*y^17 + 94022*y^18 + 21169*y^19 + 4068*y^20 + 657*y^21 + 91*y^22 + 9*y^23 + y^24)", "(1 + y + y^2)*(-1 + 5*y - 2*y^2 + y^3)^2*(-1 + 2*y - y^2 + y^3)^3*(-16 + 49*y - 42*y^2 + 23*y^3 - 6*y^4 + y^5)*(-1 + 2*y^2 - y^4 + y^5)^2*(361 - 2096*y + 5740*y^2 - 9822*y^3 + 11800*y^4 - 10517*y^5 + 7149*y^6 - 3731*y^7 + 1504*y^8 - 449*y^9 + 98*y^10 - 13*y^11 + y^12)^2*(49 - 228*y + 728*y^2 - 826*y^3 + 600*y^4 + 15*y^5 - 175*y^6 + 129*y^7 + 76*y^8 - 81*y^9 - 6*y^10 + 7*y^11 + y^12)", "(1 + y + y^2)*(-1 + 2*y - y^2 + y^3)*(-9 + 15*y - y^2 + 9*y^3 + y^4 + y^5)*(9 + 12*y + 16*y^2 + 13*y^3 + 10*y^4 + 3*y^5 + y^6)*(1 + 4*y + 12*y^2 + 18*y^3 + 16*y^4 + 3*y^5 + y^6)*(1 + 2*y^2 + 4*y^3 + 7*y^4 + 13*y^5 + 16*y^6 + 9*y^7 + 9*y^8 + 2*y^9 + y^10)*(1 + 4*y^2 - 2*y^3 + 32*y^4 - 97*y^5 + 113*y^6 - 67*y^7 + 44*y^8 - 5*y^9 + 10*y^10 + 3*y^11 + y^12)*(4489 + 68200*y + 476304*y^2 + 2064412*y^3 + 6329180*y^4 + 14790030*y^5 + 27577378*y^6 + 42198469*y^7 + 53914524*y^8 + 58145263*y^9 + 53295369*y^10 + 41676978*y^11 + 27855307*y^12 + 15919678*y^13 + 7781031*y^14 + 3253209*y^15 + 1164457*y^16 + 357294*y^17 + 94022*y^18 + 21169*y^19 + 4068*y^20 + 657*y^21 + 91*y^22 + 9*y^23 + y^24)", "81*y^2*(-1 + 2*y + 3*y^2 + y^3)^15*(13 + 23*y + 14*y^2 + 3*y^3)^2*(-16 - 4*y - 21*y^2 - 3*y^3 + 2*y^4 + y^5)^2*(-64 + 208*y - 32*y^2 - 20*y^3 + 12*y^4 + 9*y^5)", "81*(-1 + y)^6*y^3*(1 + y + y^2)^7*(1 - 4*y + 6*y^2 - y^3 + y^4)^6*(-1 + 447*y - 101*y^2 + 133*y^3 - 15*y^4 + 9*y^5)*(1 - 7*y + 37*y^2 - 51*y^3 + 49*y^4 - 15*y^5 + 9*y^6)*(361 + 361*y + 779*y^2 + 418*y^3 + 159*y^4 + 55*y^5 + 127*y^6 - 42*y^7 + 22*y^8 - 4*y^9 + y^10)", "(1 + y + y^2)*(-1 + 2*y - y^2 + y^3)*(-9 + 15*y - y^2 + 9*y^3 + y^4 + y^5)*(9 + 12*y + 16*y^2 + 13*y^3 + 10*y^4 + 3*y^5 + y^6)*(1 + 4*y + 12*y^2 + 18*y^3 + 16*y^4 + 3*y^5 + y^6)*(1 + 2*y^2 + 4*y^3 + 7*y^4 + 13*y^5 + 16*y^6 + 9*y^7 + 9*y^8 + 2*y^9 + y^10)*(1 + 4*y^2 - 2*y^3 + 32*y^4 - 97*y^5 + 113*y^6 - 67*y^7 + 44*y^8 - 5*y^9 + 10*y^10 + 3*y^11 + y^12)*(4489 + 68200*y + 476304*y^2 + 2064412*y^3 + 6329180*y^4 + 14790030*y^5 + 27577378*y^6 + 42198469*y^7 + 53914524*y^8 + 58145263*y^9 + 53295369*y^10 + 41676978*y^11 + 27855307*y^12 + 15919678*y^13 + 7781031*y^14 + 3253209*y^15 + 1164457*y^16 + 357294*y^17 + 94022*y^18 + 21169*y^19 + 4068*y^20 + 657*y^21 + 91*y^22 + 9*y^23 + y^24)", "(1 + y + y^2)*(-1 + 5*y - 2*y^2 + y^3)^2*(-1 + 2*y - y^2 + y^3)^3*(-16 + 49*y - 42*y^2 + 23*y^3 - 6*y^4 + y^5)*(-1 + 2*y^2 - y^4 + y^5)^2*(361 - 2096*y + 5740*y^2 - 9822*y^3 + 11800*y^4 - 10517*y^5 + 7149*y^6 - 3731*y^7 + 1504*y^8 - 449*y^9 + 98*y^10 - 13*y^11 + y^12)^2*(49 - 228*y + 728*y^2 - 826*y^3 + 600*y^4 + 15*y^5 - 175*y^6 + 129*y^7 + 76*y^8 - 81*y^9 - 6*y^10 + 7*y^11 + y^12)", "(1 + y + y^2)*(-1 + 2*y - y^2 + y^3)*(-9 + 15*y - y^2 + 9*y^3 + y^4 + y^5)*(9 + 12*y + 16*y^2 + 13*y^3 + 10*y^4 + 3*y^5 + y^6)*(1 + 4*y + 12*y^2 + 18*y^3 + 16*y^4 + 3*y^5 + y^6)*(1 + 2*y^2 + 4*y^3 + 7*y^4 + 13*y^5 + 16*y^6 + 9*y^7 + 9*y^8 + 2*y^9 + y^10)*(1 + 4*y^2 - 2*y^3 + 32*y^4 - 97*y^5 + 113*y^6 - 67*y^7 + 44*y^8 - 5*y^9 + 10*y^10 + 3*y^11 + y^12)*(4489 + 68200*y + 476304*y^2 + 2064412*y^3 + 6329180*y^4 + 14790030*y^5 + 27577378*y^6 + 42198469*y^7 + 53914524*y^8 + 58145263*y^9 + 53295369*y^10 + 41676978*y^11 + 27855307*y^12 + 15919678*y^13 + 7781031*y^14 + 3253209*y^15 + 1164457*y^16 + 357294*y^17 + 94022*y^18 + 21169*y^19 + 4068*y^20 + 657*y^21 + 91*y^22 + 9*y^23 + y^24)", "81*y^2*(-1 + 2*y + 3*y^2 + y^3)^15*(13 + 23*y + 14*y^2 + 3*y^3)^2*(-16 - 4*y - 21*y^2 - 3*y^3 + 2*y^4 + y^5)^2*(-64 + 208*y - 32*y^2 - 20*y^3 + 12*y^4 + 9*y^5)", "81*(-1 + y)^6*y^3*(1 + y + y^2)^7*(1 - 4*y + 6*y^2 - y^3 + y^4)^6*(-1 + 447*y - 101*y^2 + 133*y^3 - 15*y^4 + 9*y^5)*(1 - 7*y + 37*y^2 - 51*y^3 + 49*y^4 - 15*y^5 + 9*y^6)*(361 + 361*y + 779*y^2 + 418*y^3 + 159*y^4 + 55*y^5 + 127*y^6 - 42*y^7 + 22*y^8 - 4*y^9 + y^10)" ] }, "GeometricRepresentation":[ 1.6410800000000002e1, [ "J10_122_0", 1, "{4, 5}" ] ] } }