{ "Index":101, "Name":"10_17", "RolfsenName":"10_17", "DTname":"10a_107", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{11, 13, 1, -17, -19, 3, 5, -7, -9, -15}", "Acode":"{6, 7, 1, -9, -10, 2, 3, -4, -5, -8}", "PDcode":[ "{6, 2, 7, 1}", "{12, 4, 13, 3}", "{20, 15, 1, 16}", "{16, 7, 17, 8}", "{18, 9, 19, 10}", "{8, 17, 9, 18}", "{10, 19, 11, 20}", "{14, 6, 15, 5}", "{2, 12, 3, 11}", "{4, 14, 5, 13}" ], "CBtype":"{2, 0}", "ParabolicReps":{ "SolvingSeq":[ "{6, 2}", [], [ "{6, 2, 7, 1}", "{2, 7, 3, 1}", "{7, 3, 8, 1}", "{2, 6, 1, 2}", "{3, 1, 4, 1}", "{1, -8, 10, 2}", "{6, -10, 5, 2}", "{10, -5, 9, 2}" ], "{8}", "{4}", 4 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 + u - 6*u^3 + 15*u^5 + 2*u^6 - 26*u^7 + 11*u^8 + 90*u^9 - 16*u^10 - 228*u^11 + 7*u^12 + 454*u^13 - u^14 - 618*u^15 + 523*u^17 - 270*u^19 + 83*u^21 - 14*u^23 + u^25", "-u + u^2 + 3*u^3 + 4*u^4 - 13*u^5 - 14*u^6 + 38*u^7 + 28*u^8 - 108*u^9 - 23*u^10 + 294*u^11 + 8*u^12 - 576*u^13 - u^14 + 892*u^15 - 999*u^17 + 735*u^19 - 341*u^21 + 96*u^23 - 15*u^25 + u^27" ], "TimingForPrimaryIdeals":8.443099999999999e-2 }, "v":{ "CheckEq":[ "1 - v" ], "TimingForPrimaryIdeals":7.409e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_17_0", "Generators":[ "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20" ], "VariableOrder":[ "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":4.4699e-2, "TimingZeroDimVars":1.5928e-2, "TimingmagmaVCompNormalize":1.7002e-2, "TimingNumberOfSols":3.6096e-2, "TimingIsRadical":1.851e-3, "TimingArcColoring":5.6816000000000005e-2, "TimingObstruction":2.1873999999999998e-2, "TimingComplexVolumeN":1.7128086e1, "TimingaCuspShapeN":9.809799999999999e-2, "TiminguValues":0.631732, "TiminguPolysN":1.833e-2, "TiminguPolys":0.849023, "TimingaCuspShape":0.112067, "TimingRepresentationsN":3.7722000000000006e-2, "TiminguValues_ij":0.158631, "TiminguPoly_ij":1.355949, "TiminguPolys_ij_N":3.0522999999999998e-2 }, "ZeroDimensionalVars":[ "u" ], "NumberOfSols":20, "IsRadical":true, "ArcColoring":[ [ "u", "u" ], [ 0, "u" ], [ "-u", "u - u^3" ], [ "-u - 2*u^3 + u^5", "u - 3*u^3 + u^5" ], [ "1 + 4*u^4 - 12*u^6 + 37*u^8 - 50*u^10 + 31*u^12 - 9*u^14 + u^16", "u^2 - 4*u^4 + 18*u^6 - 38*u^8 + 71*u^10 - 74*u^12 + 39*u^14 - 10*u^16 + u^18" ], "{1, 0}", [ 1, "u^2" ], [ "1 - u^2", "2*u^2 - u^4" ], [ "1 + 2*u^6 + 11*u^8 - 16*u^10 + 7*u^12 - u^14", "u^2 + 4*u^4 - 14*u^6 + 28*u^8 - 23*u^10 + 8*u^12 - u^14" ], [ "4*u^3 - 4*u^5 + u^7", "u - 2*u^3 + 7*u^5 - 5*u^7 + u^9" ] ], "Obstruction":-1, "ComplexVolumeN":[ 4.43265, "7.54354 - 5.98288*I", "7.54354 + 5.98288*I", "0. + 3.91005*I", "0. - 3.91005*I", "-1.15221 - 0.756271*I", "-1.15221 + 0.756271*I", "8.68051 + 2.11373*I", "8.68051 - 2.11373*I", 3.92816, "1.15221 - 0.756271*I", "1.15221 + 0.756271*I", -4.43265, "-8.68051 + 2.11373*I", "-8.68051 - 2.11373*I", "-7.54354 - 5.98288*I", "-7.54354 + 5.98288*I", "0. + 8.53676*I", "0. - 8.53676*I", -3.92816 ], "uPolysN":[ "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 + 4*u - 15*u^2 + 27*u^3 - 9*u^4 - 24*u^5 - 24*u^6 + 74*u^7 - 61*u^8 - 20*u^9 + 25*u^10 + 5*u^11 + 12*u^12 - 56*u^13 + 60*u^14 - 38*u^15 + 25*u^16 - 20*u^17 + 13*u^18 - 5*u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - 4*u - 15*u^2 - 27*u^3 - 9*u^4 + 24*u^5 - 24*u^6 - 74*u^7 - 61*u^8 + 20*u^9 + 25*u^10 - 5*u^11 + 12*u^12 + 56*u^13 + 60*u^14 + 38*u^15 + 25*u^16 + 20*u^17 + 13*u^18 + 5*u^19 + u^20" ], "uPolys":[ "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 + 4*u - 15*u^2 + 27*u^3 - 9*u^4 - 24*u^5 - 24*u^6 + 74*u^7 - 61*u^8 - 20*u^9 + 25*u^10 + 5*u^11 + 12*u^12 - 56*u^13 + 60*u^14 - 38*u^15 + 25*u^16 - 20*u^17 + 13*u^18 - 5*u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - 4*u - 15*u^2 - 27*u^3 - 9*u^4 + 24*u^5 - 24*u^6 - 74*u^7 - 61*u^8 + 20*u^9 + 25*u^10 - 5*u^11 + 12*u^12 + 56*u^13 + 60*u^14 + 38*u^15 + 25*u^16 + 20*u^17 + 13*u^18 + 5*u^19 + u^20" ], "aCuspShape":"2*(-1 - 2*u - 2*u^2 + 10*u^3 - 2*u^4 - 28*u^5 + 50*u^6 + 56*u^7 - 148*u^8 - 46*u^9 + 242*u^10 + 16*u^11 - 210*u^12 - 2*u^13 + 96*u^14 - 22*u^16 + 2*u^18)", "RepresentationsN":[ [ "u->-0.886444" ], [ "u->0.653943 + 0.534643 I" ], [ "u->0.653943 - 0.534643 I" ], [ "u->-0.638615 + 0.441759 I" ], [ "u->-0.638615 - 0.441759 I" ], [ "u->0.613121 + 0.271451 I" ], [ "u->0.613121 - 0.271451 I" ], [ "u->0.265798 + 0.599404 I" ], [ "u->0.265798 - 0.599404 I" ], [ "u->-1.38695" ], [ "u->-0.232031 + 0.442395 I" ], [ "u->-0.232031 - 0.442395 I" ], [ "u->1.51222" ], [ "u->-1.58303 + 0.08477 I" ], [ "u->-1.58303 - 0.08477 I" ], [ "u->1.58517 + 0.12489 I" ], [ "u->1.58517 - 0.12489 I" ], [ "u->-1.58631 + 0.15748 I" ], [ "u->-1.58631 - 0.15748 I" ], [ "u->1.60509" ] ], "Epsilon":7.27855e-2, "uPolys_ij":[ "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 + 2*u + 11*u^2 + 59*u^3 + 259*u^4 + 732*u^5 + 1760*u^6 + 4164*u^7 + 9935*u^8 + 21806*u^9 + 39567*u^10 + 57271*u^11 + 64948*u^12 + 56412*u^13 + 36740*u^14 + 17624*u^15 + 6105*u^16 + 1482*u^17 + 239*u^18 + 23*u^19 + u^20", "-9 + 18*u + 165*u^2 + 27*u^3 - 491*u^4 + 148*u^5 + 1286*u^6 - 556*u^7 - 3537*u^8 - 1366*u^9 + 4095*u^10 + 3855*u^11 - 1022*u^12 - 2176*u^13 - 162*u^14 + 524*u^15 + 105*u^16 - 62*u^17 - 17*u^18 + 3*u^19 + u^20", "1 + 4*u - 15*u^2 + 27*u^3 - 9*u^4 - 24*u^5 - 24*u^6 + 74*u^7 - 61*u^8 - 20*u^9 + 25*u^10 + 5*u^11 + 12*u^12 - 56*u^13 + 60*u^14 - 38*u^15 + 25*u^16 - 20*u^17 + 13*u^18 - 5*u^19 + u^20", "1 - 4*u - 15*u^2 - 27*u^3 - 9*u^4 + 24*u^5 - 24*u^6 - 74*u^7 - 61*u^8 + 20*u^9 + 25*u^10 - 5*u^11 + 12*u^12 + 56*u^13 + 60*u^14 + 38*u^15 + 25*u^16 + 20*u^17 + 13*u^18 + 5*u^19 + u^20", "-25 + 280*u - 1091*u^2 + 1297*u^3 + 301*u^4 + 758*u^5 - 864*u^6 - 6162*u^7 + 839*u^8 - 6288*u^9 + 73*u^10 + 825*u^11 - 356*u^12 + 1560*u^13 + 516*u^14 + 438*u^15 + 237*u^16 + 60*u^17 + 29*u^18 + 3*u^19 + u^20", "-1 - 4*u + u^2 - 73*u^3 - 253*u^4 + 472*u^5 + 178*u^6 - 1878*u^7 + 4947*u^8 - 7094*u^9 + 1677*u^10 + 5837*u^11 + 112*u^12 - 2520*u^13 + 718*u^14 - 756*u^15 + 339*u^16 - 78*u^17 + 35*u^18 - 3*u^19 + u^20", "1 + 46*u - 9*u^2 + 315*u^3 + 1383*u^4 + 2100*u^5 + 5540*u^6 + 4020*u^7 + 7083*u^8 + 7046*u^9 + 3227*u^10 + 5515*u^11 + 1212*u^12 + 1760*u^13 + 472*u^14 + 272*u^15 + 129*u^16 + 10*u^17 + 19*u^18 - u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - 46*u - 9*u^2 - 315*u^3 + 1383*u^4 - 2100*u^5 + 5540*u^6 - 4020*u^7 + 7083*u^8 - 7046*u^9 + 3227*u^10 - 5515*u^11 + 1212*u^12 - 1760*u^13 + 472*u^14 - 272*u^15 + 129*u^16 - 10*u^17 + 19*u^18 + u^19 + u^20", "-25 - 280*u - 1091*u^2 - 1297*u^3 + 301*u^4 - 758*u^5 - 864*u^6 + 6162*u^7 + 839*u^8 + 6288*u^9 + 73*u^10 - 825*u^11 - 356*u^12 - 1560*u^13 + 516*u^14 - 438*u^15 + 237*u^16 - 60*u^17 + 29*u^18 - 3*u^19 + u^20", "-9 - 18*u + 165*u^2 - 27*u^3 - 491*u^4 - 148*u^5 + 1286*u^6 + 556*u^7 - 3537*u^8 + 1366*u^9 + 4095*u^10 - 3855*u^11 - 1022*u^12 + 2176*u^13 - 162*u^14 - 524*u^15 + 105*u^16 + 62*u^17 - 17*u^18 - 3*u^19 + u^20", "493 - 442*u + 3581*u^2 - 2347*u^3 + 18123*u^4 - 31738*u^5 + 86310*u^6 - 123898*u^7 + 133499*u^8 - 95582*u^9 + 39305*u^10 - 22975*u^11 + 18648*u^12 - 12082*u^13 + 3592*u^14 - 366*u^15 + 441*u^16 - 184*u^17 + 5*u^18 - u^19 + u^20", "1 - 2*u + 11*u^2 - 49*u^3 - 57*u^4 - 356*u^5 + 2048*u^6 - 808*u^7 + 1999*u^8 - 25464*u^9 + 11989*u^10 + 24077*u^11 + 15488*u^12 + 186*u^13 - 3766*u^14 - 1634*u^15 - 35*u^16 + 336*u^17 + 97*u^18 + 13*u^19 + u^20", "387 - 1962*u + 6945*u^2 - 10905*u^3 + 21185*u^4 - 26274*u^5 + 59194*u^6 - 64824*u^7 + 75615*u^8 - 42152*u^9 + 15299*u^10 + 583*u^11 - 5136*u^12 + 1704*u^13 - 2808*u^14 + 170*u^15 + 139*u^16 + 126*u^17 + 3*u^18 - u^19 + u^20", "1 - 2*u + 11*u^2 - 59*u^3 + 259*u^4 - 732*u^5 + 1760*u^6 - 4164*u^7 + 9935*u^8 - 21806*u^9 + 39567*u^10 - 57271*u^11 + 64948*u^12 - 56412*u^13 + 36740*u^14 - 17624*u^15 + 6105*u^16 - 1482*u^17 + 239*u^18 - 23*u^19 + u^20", "-1 + 4*u + u^2 + 73*u^3 - 253*u^4 - 472*u^5 + 178*u^6 + 1878*u^7 + 4947*u^8 + 7094*u^9 + 1677*u^10 - 5837*u^11 + 112*u^12 + 2520*u^13 + 718*u^14 + 756*u^15 + 339*u^16 + 78*u^17 + 35*u^18 + 3*u^19 + u^20" ], "GeometricComponent":"{18, 19}", "uPolys_ij_N":[ "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 + 2*u + 11*u^2 + 59*u^3 + 259*u^4 + 732*u^5 + 1760*u^6 + 4164*u^7 + 9935*u^8 + 21806*u^9 + 39567*u^10 + 57271*u^11 + 64948*u^12 + 56412*u^13 + 36740*u^14 + 17624*u^15 + 6105*u^16 + 1482*u^17 + 239*u^18 + 23*u^19 + u^20", "-9 + 18*u + 165*u^2 + 27*u^3 - 491*u^4 + 148*u^5 + 1286*u^6 - 556*u^7 - 3537*u^8 - 1366*u^9 + 4095*u^10 + 3855*u^11 - 1022*u^12 - 2176*u^13 - 162*u^14 + 524*u^15 + 105*u^16 - 62*u^17 - 17*u^18 + 3*u^19 + u^20", "1 + 4*u - 15*u^2 + 27*u^3 - 9*u^4 - 24*u^5 - 24*u^6 + 74*u^7 - 61*u^8 - 20*u^9 + 25*u^10 + 5*u^11 + 12*u^12 - 56*u^13 + 60*u^14 - 38*u^15 + 25*u^16 - 20*u^17 + 13*u^18 - 5*u^19 + u^20", "1 - 4*u - 15*u^2 - 27*u^3 - 9*u^4 + 24*u^5 - 24*u^6 - 74*u^7 - 61*u^8 + 20*u^9 + 25*u^10 - 5*u^11 + 12*u^12 + 56*u^13 + 60*u^14 + 38*u^15 + 25*u^16 + 20*u^17 + 13*u^18 + 5*u^19 + u^20", "-25 + 280*u - 1091*u^2 + 1297*u^3 + 301*u^4 + 758*u^5 - 864*u^6 - 6162*u^7 + 839*u^8 - 6288*u^9 + 73*u^10 + 825*u^11 - 356*u^12 + 1560*u^13 + 516*u^14 + 438*u^15 + 237*u^16 + 60*u^17 + 29*u^18 + 3*u^19 + u^20", "-1 - 4*u + u^2 - 73*u^3 - 253*u^4 + 472*u^5 + 178*u^6 - 1878*u^7 + 4947*u^8 - 7094*u^9 + 1677*u^10 + 5837*u^11 + 112*u^12 - 2520*u^13 + 718*u^14 - 756*u^15 + 339*u^16 - 78*u^17 + 35*u^18 - 3*u^19 + u^20", "1 + 46*u - 9*u^2 + 315*u^3 + 1383*u^4 + 2100*u^5 + 5540*u^6 + 4020*u^7 + 7083*u^8 + 7046*u^9 + 3227*u^10 + 5515*u^11 + 1212*u^12 + 1760*u^13 + 472*u^14 + 272*u^15 + 129*u^16 + 10*u^17 + 19*u^18 - u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - 46*u - 9*u^2 - 315*u^3 + 1383*u^4 - 2100*u^5 + 5540*u^6 - 4020*u^7 + 7083*u^8 - 7046*u^9 + 3227*u^10 - 5515*u^11 + 1212*u^12 - 1760*u^13 + 472*u^14 - 272*u^15 + 129*u^16 - 10*u^17 + 19*u^18 + u^19 + u^20", "-25 - 280*u - 1091*u^2 - 1297*u^3 + 301*u^4 - 758*u^5 - 864*u^6 + 6162*u^7 + 839*u^8 + 6288*u^9 + 73*u^10 - 825*u^11 - 356*u^12 - 1560*u^13 + 516*u^14 - 438*u^15 + 237*u^16 - 60*u^17 + 29*u^18 - 3*u^19 + u^20", "-9 - 18*u + 165*u^2 - 27*u^3 - 491*u^4 - 148*u^5 + 1286*u^6 + 556*u^7 - 3537*u^8 + 1366*u^9 + 4095*u^10 - 3855*u^11 - 1022*u^12 + 2176*u^13 - 162*u^14 - 524*u^15 + 105*u^16 + 62*u^17 - 17*u^18 - 3*u^19 + u^20", "493 - 442*u + 3581*u^2 - 2347*u^3 + 18123*u^4 - 31738*u^5 + 86310*u^6 - 123898*u^7 + 133499*u^8 - 95582*u^9 + 39305*u^10 - 22975*u^11 + 18648*u^12 - 12082*u^13 + 3592*u^14 - 366*u^15 + 441*u^16 - 184*u^17 + 5*u^18 - u^19 + u^20", "1 - 2*u + 11*u^2 - 49*u^3 - 57*u^4 - 356*u^5 + 2048*u^6 - 808*u^7 + 1999*u^8 - 25464*u^9 + 11989*u^10 + 24077*u^11 + 15488*u^12 + 186*u^13 - 3766*u^14 - 1634*u^15 - 35*u^16 + 336*u^17 + 97*u^18 + 13*u^19 + u^20", "387 - 1962*u + 6945*u^2 - 10905*u^3 + 21185*u^4 - 26274*u^5 + 59194*u^6 - 64824*u^7 + 75615*u^8 - 42152*u^9 + 15299*u^10 + 583*u^11 - 5136*u^12 + 1704*u^13 - 2808*u^14 + 170*u^15 + 139*u^16 + 126*u^17 + 3*u^18 - u^19 + u^20", "1 - 2*u + 11*u^2 - 59*u^3 + 259*u^4 - 732*u^5 + 1760*u^6 - 4164*u^7 + 9935*u^8 - 21806*u^9 + 39567*u^10 - 57271*u^11 + 64948*u^12 - 56412*u^13 + 36740*u^14 - 17624*u^15 + 6105*u^16 - 1482*u^17 + 239*u^18 - 23*u^19 + u^20", "-1 + 4*u + u^2 + 73*u^3 - 253*u^4 - 472*u^5 + 178*u^6 + 1878*u^7 + 4947*u^8 + 7094*u^9 + 1677*u^10 - 5837*u^11 + 112*u^12 + 2520*u^13 + 718*u^14 + 756*u^15 + 339*u^16 + 78*u^17 + 35*u^18 + 3*u^19 + u^20" ], "Multiplicity":1, "ij_list":[ [ "{1, 6}", "{2, 6}", "{2, 7}", "{3, 7}", "{3, 8}" ], [ "{1, 2}", "{2, 3}", "{6, 7}", "{7, 8}" ], [ "{1, 7}", "{2, 8}", "{3, 6}" ], [ "{1, 3}", "{1, 4}", "{6, 8}" ], [ "{1, 8}", "{4, 6}", "{8, 10}" ], [ "{2, 4}", "{3, 10}" ], [ "{4, 7}", "{7, 10}" ], [ "{2, 10}", "{3, 4}" ], [ "{4, 8}", "{4, 9}", "{5, 9}", "{5, 10}", "{6, 10}" ], [ "{1, 10}" ], [ "{1, 9}" ], [ "{4, 10}", "{5, 8}", "{6, 9}" ], [ "{2, 9}", "{3, 5}" ], [ "{5, 7}", "{7, 9}" ], [ "{2, 5}", "{3, 9}" ], [ "{4, 5}", "{5, 6}", "{8, 9}", "{9, 10}" ], [ "{1, 5}" ] ], "SortedReprnIndices":"{18, 19, 3, 17, 2, 16, 4, 5, 8, 14, 9, 15, 12, 7, 11, 6, 1, 13, 10, 20}", "aCuspShapeN":[ -0.71639, "2.9280020102225196142`4.798210502972556 + 5.9036424767125378925`5.102759181254031*I", "2.9280020102225196142`4.798210502972556 - 5.9036424767125378925`5.102759181254031*I", "0``4.234938663901318 - 8.2333453790470698368`5.15051499783199*I", "0``4.234938663901318 + 8.2333453790470698368`5.15051499783199*I", "-5.0439746809024185116`5.129472066471686 + 1.6089971866468137577`4.6332544533109035*I", "-5.0439746809024185116`5.129472066471686 - 1.6089971866468137577`4.6332544533109035*I", "5.7976485110587510208`5.1505026106032155 - 0.0437892994494013747`3.0286187256875223*I", "5.7976485110587510208`5.1505026106032155 + 0.0437892994494013747`3.0286187256875223*I", 1.9612, "5.0439746809024185125`5.129472066471686 + 1.6089971866468137576`4.6332544533109035*I", "5.0439746809024185125`5.129472066471686 - 1.6089971866468137576`4.6332544533109035*I", 0.71639, "-5.7976485110587488177`5.1505026106032155 - 0.0437892994494030384`3.028618725687539*I", "-5.7976485110587488177`5.1505026106032155 + 0.0437892994494030384`3.028618725687539*I", "-2.9280020102225204554`4.798210502972556 + 5.9036424767125356144`5.102759181254031*I", "-2.9280020102225204554`4.798210502972556 - 5.9036424767125356144`5.102759181254031*I", "0``4.490034502572262 - 4.5759415580571108624`5.150514971771699*I", "0``4.490034502572262 + 4.5759415580571108624`5.150514971771699*I", -1.9612 ], "Abelian":false }, { "IdealName":"abJ10_17_1", "Generators":[ "-1 + v" ], "VariableOrder":[ "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":4.0934e-2, "TimingZeroDimVars":1.7281e-2, "TimingmagmaVCompNormalize":1.8354e-2, "TimingNumberOfSols":2.0662e-2, "TimingIsRadical":1.677e-3, "TimingArcColoring":5.5044e-2, "TimingObstruction":5.27e-4, "TimingComplexVolumeN":0.523199, "TimingaCuspShapeN":4.834e-3, "TiminguValues":0.620122, "TiminguPolysN":1.16e-4, "TiminguPolys":0.804303, "TimingaCuspShape":9.656100000000001e-2, "TimingRepresentationsN":2.0057000000000002e-2, "TiminguValues_ij":0.139312, "TiminguPoly_ij":0.147406, "TiminguPolys_ij_N":2.7000000000000002e-5 }, "ZeroDimensionalVars":[ "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." ] ], "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^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 + 4*u - 15*u^2 + 27*u^3 - 9*u^4 - 24*u^5 - 24*u^6 + 74*u^7 - 61*u^8 - 20*u^9 + 25*u^10 + 5*u^11 + 12*u^12 - 56*u^13 + 60*u^14 - 38*u^15 + 25*u^16 - 20*u^17 + 13*u^18 - 5*u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 + 3*u^3 + 5*u^4 - 10*u^5 - 20*u^6 + 8*u^7 + 67*u^8 + 4*u^9 - 125*u^10 - 47*u^11 + 152*u^12 + 66*u^13 - 114*u^14 - 38*u^15 + 49*u^16 + 10*u^17 - 11*u^18 - u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - u^2 - 3*u^3 + 5*u^4 + 10*u^5 - 20*u^6 - 8*u^7 + 67*u^8 - 4*u^9 - 125*u^10 + 47*u^11 + 152*u^12 - 66*u^13 - 114*u^14 + 38*u^15 + 49*u^16 - 10*u^17 - 11*u^18 + u^19 + u^20", "1 - 4*u - 15*u^2 - 27*u^3 - 9*u^4 + 24*u^5 - 24*u^6 - 74*u^7 - 61*u^8 + 20*u^9 + 25*u^10 - 5*u^11 + 12*u^12 + 56*u^13 + 60*u^14 + 38*u^15 + 25*u^16 + 20*u^17 + 13*u^18 + 5*u^19 + u^20" ], "RileyPolyC":[ "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 46*y - 9*y^2 - 315*y^3 + 1383*y^4 - 2100*y^5 + 5540*y^6 - 4020*y^7 + 7083*y^8 - 7046*y^9 + 3227*y^10 - 5515*y^11 + 1212*y^12 - 1760*y^13 + 472*y^14 - 272*y^15 + 129*y^16 - 10*y^17 + 19*y^18 + y^19 + y^20", "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 2*y + 11*y^2 - 59*y^3 + 259*y^4 - 732*y^5 + 1760*y^6 - 4164*y^7 + 9935*y^8 - 21806*y^9 + 39567*y^10 - 57271*y^11 + 64948*y^12 - 56412*y^13 + 36740*y^14 - 17624*y^15 + 6105*y^16 - 1482*y^17 + 239*y^18 - 23*y^19 + y^20", "1 - 46*y - 9*y^2 - 315*y^3 + 1383*y^4 - 2100*y^5 + 5540*y^6 - 4020*y^7 + 7083*y^8 - 7046*y^9 + 3227*y^10 - 5515*y^11 + 1212*y^12 - 1760*y^13 + 472*y^14 - 272*y^15 + 129*y^16 - 10*y^17 + 19*y^18 + y^19 + y^20" ] }, "GeometricRepresentation":[ 8.53676, [ "J10_17_0", 1, "{18, 19}" ] ] } }