{ "Index":139, "Name":"10_55", "RolfsenName":"10_55", "DTname":"10a_9", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{9, 17, 11, 1, 7, 5, 19, 13, 3, 15}", "Acode":"{5, 9, 6, 1, 4, 3, 10, 7, 2, 8}", "PDcode":[ "{2, 10, 3, 9}", "{4, 18, 5, 17}", "{6, 12, 7, 11}", "{8, 2, 9, 1}", "{10, 8, 11, 7}", "{12, 6, 13, 5}", "{14, 20, 15, 19}", "{16, 14, 17, 13}", "{18, 4, 19, 3}", "{20, 16, 1, 15}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{3, 9, 7}", [], [ "{3, 9, 2, 2}", "{9, 2, 10, 1}", "{7, 3, 6, 2}", "{3, 6, 4, 1}", "{6, 4, 5, 2}", "{2, 5, 1, 2}", "{9, 7, 8, 2}" ], "{7, 10}", "{4}", 4 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "a - a^2*u - a*u^2 - b*u^2 - a*u^4", "b - u - a*b*u + a*u^2 + b*u^2 + 2*a*u^4 + b*u^4 + a*u^6", "-1 + a*b + 2*b^2 + 2*a*b^3 + 3*b^4 + a*b^5 + b^6 - u + a^2*u^2 + 4*a*b*u^2 + 4*b^2*u^2 + 2*a^2*b^2*u^2 + 6*a*b^3*u^2 + 4*b^4*u^2 + a^2*b^4*u^2 + 2*a*b^5*u^2 + b^6*u^2 - a^2*u^3 - a^4*u^3 - a^3*b*u^3 - a^4*u^5", "b^2 + 2*b^4 + b^6 + u + u^2 + a*b*u^2 + 2*b^2*u^2 + 2*a*b^3*u^2 + 3*b^4*u^2 + a*b^5*u^2 + b^6*u^2 - 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2*v - v^2", "1 + v + 2*v^2 + v^3" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "MonomialOrder":"lex" }, "NumberOfSols":3, "IsRadical":true, "ArcColoring":[ [ 0, "-1 - 2*v - v^2" ], "{1, 0}", "{1, 0}", [ "v + v^2", "-1 + v + v^2" ], [ "v + v^2", "-1 - v" ], [ "1 + 2*v + v^2", "1 + 2*v + v^2" ], [ 0, "1 + 2*v + v^2" ], [ "v", "1 + 2*v + v^2" ], [ "v", 0 ], [ "v", 0 ] ], "Obstruction":1, "ComplexVolumeN":[ "1.37919 - 2.82812*I", "1.37919 + 2.82812*I", -2.75839 ], "uPolysN":[ "-1 + u^2 + u^3", "u^3", "-1 + 2*u - u^2 + u^3", "1 - u^2 + u^3", "1 + 2*u + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 3*u - 3*u^2 + u^3", "1 + 3*u + 3*u^2 + u^3", "u^3", "1 + 3*u + 3*u^2 + u^3" ], "uPolys":[ "-1 + u^2 + u^3", "u^3", "-1 + 2*u - u^2 + u^3", "1 - u^2 + u^3", "1 + 2*u + u^2 + u^3", "1 + 2*u + u^2 + u^3", "(-1 + u)^3", "(1 + u)^3", "u^3", "(1 + u)^3" ], "aCuspShape":"-11 + 5*v + 2*v^2", "RepresentationsN":[ [ "v->-0.122561 + 0.744862 I", "a->0", "b->0.21508 + 1.30714 I" ], [ "v->-0.122561 - 0.744862 I", "a->0", "b->0.21508 - 1.30714 I" ], [ "v->-1.75488", "a->0", "b->0.56984" ] ], "Epsilon":2.24805, "uPolys_ij":[ "(1 + u)^3", "u^3", "(-1 + u)^3", "-1 + u^2 + u^3", "-5 - 4*u + u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "-1 - u + u^3", "-1 + 2*u - u^2 + u^3" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + 3*u + 3*u^2 + u^3", "u^3", "-1 + 3*u - 3*u^2 + u^3", "-1 + u^2 + u^3", "-5 - 4*u + u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "-1 - u + u^3", "-1 + 2*u - u^2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{1, 8}", "{1, 9}", "{1, 10}" ], [ "{1, 7}", "{2, 3}", "{2, 9}", "{2, 10}", "{3, 9}", "{3, 10}", "{9, 10}" ], [ "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{1, 4}", "{1, 5}", "{2, 5}", "{3, 5}", "{4, 7}", "{5, 7}" ], [ "{5, 8}" ], [ "{1, 6}", "{2, 4}", "{3, 4}", "{5, 6}", "{6, 7}" ], [ "{4, 8}", "{5, 9}", "{5, 10}", "{6, 8}" ], [ "{1, 2}", "{1, 3}", "{2, 6}", "{2, 7}", "{2, 8}", "{3, 6}", "{3, 7}", "{3, 8}", "{4, 5}", "{4, 6}", "{4, 9}", "{4, 10}" ] ], "SortedReprnIndices":"{2, 1, 3}", "aCuspShapeN":[ "-12.6924014578747068859`5.135814219452741 + 3.3591443239838351976`4.558499082659239*I", "-12.6924014578747068859`5.135814219452741 - 3.3591443239838351976`4.558499082659239*I", -1.3614999999999998e1 ], "Abelian":false }, { "IdealName":"abJ10_55_2", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":6.2105e-2, "TimingZeroDimVars":6.1228e-2, "TimingmagmaVCompNormalize":6.2464000000000006e-2, "TimingNumberOfSols":2.3946000000000002e-2, "TimingIsRadical":1.592e-3, "TimingArcColoring":5.8164999999999994e-2, "TimingObstruction":3.8500000000000003e-4, "TimingComplexVolumeN":0.357658, "TimingaCuspShapeN":4.318e-3, "TiminguValues":0.633333, "TiminguPolysN":7.500000000000002e-5, "TiminguPolys":0.8109, "TimingaCuspShape":9.739e-2, "TimingRepresentationsN":2.5037e-2, "TiminguValues_ij":0.148178, "TiminguPoly_ij":0.141328, "TiminguPolys_ij_N":3.000000000000001e-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^2 + u^3)*(1 + 3*u - u^2 - 10*u^3 + 7*u^4 + 28*u^5 - 32*u^6 - 48*u^7 + 94*u^8 + 62*u^9 - 178*u^10 - 36*u^11 + 284*u^12 - 6*u^13 - 364*u^14 + 68*u^15 + 421*u^16 - 87*u^17 - 401*u^18 + 86*u^19 + 345*u^20 - 46*u^21 - 240*u^22 + 20*u^23 + 149*u^24 + 5*u^25 - 71*u^26 - 6*u^27 + 30*u^28 + 7*u^29 - 8*u^30 - 2*u^31 + 2*u^32 + u^33)", "u^3*(8 + 12*u + 28*u^2 + 91*u^3 + 43*u^4 + 200*u^5 + 188*u^6 + 38*u^7 + 528*u^8 - 234*u^9 + 490*u^10 + 252*u^11 - 310*u^12 + 1334*u^13 - 954*u^14 + 1496*u^15 - 542*u^16 + 384*u^17 + 292*u^18 - 587*u^19 + 537*u^20 - 550*u^21 + 234*u^22 - 66*u^23 - 42*u^24 + 178*u^25 - 90*u^26 + 143*u^27 - 43*u^28 + 54*u^29 - 10*u^30 + 11*u^31 - u^32 + u^33)", "(-1 + 2*u - u^2 + u^3)*(1 + 11*u + 75*u^2 + 346*u^3 + 1149*u^4 + 3108*u^5 + 7408*u^6 + 16264*u^7 + 33214*u^8 + 63462*u^9 + 113582*u^10 + 190420*u^11 + 297588*u^12 + 431046*u^13 + 575376*u^14 + 705096*u^15 + 791605*u^16 + 813561*u^17 + 765467*u^18 + 659490*u^19 + 520403*u^20 + 376030*u^21 + 248604*u^22 + 150168*u^23 + 82641*u^24 + 41305*u^25 + 18625*u^26 + 7538*u^27 + 2696*u^28 + 847*u^29 + 224*u^30 + 50*u^31 + 8*u^32 + u^33)", "(1 - u^2 + u^3)*(1 + 3*u - u^2 - 10*u^3 + 7*u^4 + 28*u^5 - 32*u^6 - 48*u^7 + 94*u^8 + 62*u^9 - 178*u^10 - 36*u^11 + 284*u^12 - 6*u^13 - 364*u^14 + 68*u^15 + 421*u^16 - 87*u^17 - 401*u^18 + 86*u^19 + 345*u^20 - 46*u^21 - 240*u^22 + 20*u^23 + 149*u^24 + 5*u^25 - 71*u^26 - 6*u^27 + 30*u^28 + 7*u^29 - 8*u^30 - 2*u^31 + 2*u^32 + u^33)", "(1 + 2*u + u^2 + u^3)*(1 + 11*u + 75*u^2 + 346*u^3 + 1149*u^4 + 3108*u^5 + 7408*u^6 + 16264*u^7 + 33214*u^8 + 63462*u^9 + 113582*u^10 + 190420*u^11 + 297588*u^12 + 431046*u^13 + 575376*u^14 + 705096*u^15 + 791605*u^16 + 813561*u^17 + 765467*u^18 + 659490*u^19 + 520403*u^20 + 376030*u^21 + 248604*u^22 + 150168*u^23 + 82641*u^24 + 41305*u^25 + 18625*u^26 + 7538*u^27 + 2696*u^28 + 847*u^29 + 224*u^30 + 50*u^31 + 8*u^32 + u^33)", "(1 + 2*u + u^2 + u^3)*(1 + 11*u + 75*u^2 + 346*u^3 + 1149*u^4 + 3108*u^5 + 7408*u^6 + 16264*u^7 + 33214*u^8 + 63462*u^9 + 113582*u^10 + 190420*u^11 + 297588*u^12 + 431046*u^13 + 575376*u^14 + 705096*u^15 + 791605*u^16 + 813561*u^17 + 765467*u^18 + 659490*u^19 + 520403*u^20 + 376030*u^21 + 248604*u^22 + 150168*u^23 + 82641*u^24 + 41305*u^25 + 18625*u^26 + 7538*u^27 + 2696*u^28 + 847*u^29 + 224*u^30 + 50*u^31 + 8*u^32 + u^33)", "(-1 + u)^3*(1 - 16*u^2 + 28*u^3 + 43*u^4 - 164*u^5 + 44*u^6 + 400*u^7 - 470*u^8 - 408*u^9 + 1156*u^10 - 172*u^11 - 1572*u^12 + 1232*u^13 + 1186*u^14 - 2078*u^15 - 91*u^16 + 2066*u^17 - 976*u^18 - 1240*u^19 + 1349*u^20 + 264*u^21 - 1010*u^22 + 278*u^23 + 449*u^24 - 326*u^25 - 78*u^26 + 166*u^27 - 34*u^28 - 40*u^29 + 23*u^30 + u^31 - 4*u^32 + u^33)", "(1 + u)^3*(1 + 32*u + 342*u^2 + 2072*u^3 + 8685*u^4 + 28160*u^5 + 75428*u^6 + 173460*u^7 + 350294*u^8 + 630420*u^9 + 1021256*u^10 + 1501220*u^11 + 2015956*u^12 + 2488184*u^13 + 2837586*u^14 + 3003550*u^15 + 2961049*u^16 + 2725230*u^17 + 2344442*u^18 + 1885572*u^19 + 1416819*u^20 + 993048*u^21 + 647542*u^22 + 391234*u^23 + 217693*u^24 + 110606*u^25 + 50724*u^26 + 20682*u^27 + 7352*u^28 + 2220*u^29 + 549*u^30 + 105*u^31 + 14*u^32 + u^33)", "u^3*(8 + 12*u + 28*u^2 + 91*u^3 + 43*u^4 + 200*u^5 + 188*u^6 + 38*u^7 + 528*u^8 - 234*u^9 + 490*u^10 + 252*u^11 - 310*u^12 + 1334*u^13 - 954*u^14 + 1496*u^15 - 542*u^16 + 384*u^17 + 292*u^18 - 587*u^19 + 537*u^20 - 550*u^21 + 234*u^22 - 66*u^23 - 42*u^24 + 178*u^25 - 90*u^26 + 143*u^27 - 43*u^28 + 54*u^29 - 10*u^30 + 11*u^31 - u^32 + u^33)", "(1 + u)^3*(1 - 16*u^2 + 28*u^3 + 43*u^4 - 164*u^5 + 44*u^6 + 400*u^7 - 470*u^8 - 408*u^9 + 1156*u^10 - 172*u^11 - 1572*u^12 + 1232*u^13 + 1186*u^14 - 2078*u^15 - 91*u^16 + 2066*u^17 - 976*u^18 - 1240*u^19 + 1349*u^20 + 264*u^21 - 1010*u^22 + 278*u^23 + 449*u^24 - 326*u^25 - 78*u^26 + 166*u^27 - 34*u^28 - 40*u^29 + 23*u^30 + u^31 - 4*u^32 + u^33)" ], "RileyPolyC":[ "(-1 + 2*y - y^2 + y^3)*(-1 + 11*y - 75*y^2 + 346*y^3 - 1149*y^4 + 3108*y^5 - 7408*y^6 + 16264*y^7 - 33214*y^8 + 63462*y^9 - 113582*y^10 + 190420*y^11 - 297588*y^12 + 431046*y^13 - 575376*y^14 + 705096*y^15 - 791605*y^16 + 813561*y^17 - 765467*y^18 + 659490*y^19 - 520403*y^20 + 376030*y^21 - 248604*y^22 + 150168*y^23 - 82641*y^24 + 41305*y^25 - 18625*y^26 + 7538*y^27 - 2696*y^28 + 847*y^29 - 224*y^30 + 50*y^31 - 8*y^32 + y^33)", "y^3*(-64 - 304*y + 712*y^2 + 7665*y^3 + 16487*y^4 - 12276*y^5 - 124572*y^6 - 222320*y^7 - 12560*y^8 + 595840*y^9 + 1105280*y^10 + 1042542*y^11 + 907674*y^12 + 1494560*y^13 + 2249176*y^14 + 1717226*y^15 - 133222*y^16 - 1518834*y^17 - 1186300*y^18 + 104825*y^19 + 873179*y^20 + 682080*y^21 + 141472*y^22 - 153594*y^23 - 141458*y^24 - 34850*y^25 + 24548*y^26 + 29009*y^27 + 15495*y^28 + 5378*y^29 + 1288*y^30 + 209*y^31 + 21*y^32 + y^33)", "(-1 + 2*y + 3*y^2 + y^3)*(-1 - 29*y - 311*y^2 + 926*y^3 + 10715*y^4 + 77668*y^5 + 365256*y^6 + 1352128*y^7 + 3991058*y^8 + 10039278*y^9 + 21515746*y^10 + 38578644*y^11 + 57012452*y^12 + 67346774*y^13 + 59257904*y^14 + 31521752*y^15 - 1797869*y^16 - 19127803*y^17 - 8779283*y^18 + 21210422*y^19 + 50663349*y^20 + 63509998*y^21 + 57271452*y^22 + 40260592*y^23 + 22707359*y^24 + 10368701*y^25 + 3828815*y^26 + 1134142*y^27 + 265536*y^28 + 48011*y^29 + 6464*y^30 + 610*y^31 + 36*y^32 + y^33)", "(-1 + 2*y - y^2 + y^3)*(-1 + 11*y - 75*y^2 + 346*y^3 - 1149*y^4 + 3108*y^5 - 7408*y^6 + 16264*y^7 - 33214*y^8 + 63462*y^9 - 113582*y^10 + 190420*y^11 - 297588*y^12 + 431046*y^13 - 575376*y^14 + 705096*y^15 - 791605*y^16 + 813561*y^17 - 765467*y^18 + 659490*y^19 - 520403*y^20 + 376030*y^21 - 248604*y^22 + 150168*y^23 - 82641*y^24 + 41305*y^25 - 18625*y^26 + 7538*y^27 - 2696*y^28 + 847*y^29 - 224*y^30 + 50*y^31 - 8*y^32 + y^33)", "(-1 + 2*y + 3*y^2 + y^3)*(-1 - 29*y - 311*y^2 + 926*y^3 + 10715*y^4 + 77668*y^5 + 365256*y^6 + 1352128*y^7 + 3991058*y^8 + 10039278*y^9 + 21515746*y^10 + 38578644*y^11 + 57012452*y^12 + 67346774*y^13 + 59257904*y^14 + 31521752*y^15 - 1797869*y^16 - 19127803*y^17 - 8779283*y^18 + 21210422*y^19 + 50663349*y^20 + 63509998*y^21 + 57271452*y^22 + 40260592*y^23 + 22707359*y^24 + 10368701*y^25 + 3828815*y^26 + 1134142*y^27 + 265536*y^28 + 48011*y^29 + 6464*y^30 + 610*y^31 + 36*y^32 + y^33)", "(-1 + 2*y + 3*y^2 + y^3)*(-1 - 29*y - 311*y^2 + 926*y^3 + 10715*y^4 + 77668*y^5 + 365256*y^6 + 1352128*y^7 + 3991058*y^8 + 10039278*y^9 + 21515746*y^10 + 38578644*y^11 + 57012452*y^12 + 67346774*y^13 + 59257904*y^14 + 31521752*y^15 - 1797869*y^16 - 19127803*y^17 - 8779283*y^18 + 21210422*y^19 + 50663349*y^20 + 63509998*y^21 + 57271452*y^22 + 40260592*y^23 + 22707359*y^24 + 10368701*y^25 + 3828815*y^26 + 1134142*y^27 + 265536*y^28 + 48011*y^29 + 6464*y^30 + 610*y^31 + 36*y^32 + y^33)", "(-1 + y)^3*(-1 + 32*y - 342*y^2 + 2072*y^3 - 8685*y^4 + 28160*y^5 - 75428*y^6 + 173460*y^7 - 350294*y^8 + 630420*y^9 - 1021256*y^10 + 1501220*y^11 - 2015956*y^12 + 2488184*y^13 - 2837586*y^14 + 3003550*y^15 - 2961049*y^16 + 2725230*y^17 - 2344442*y^18 + 1885572*y^19 - 1416819*y^20 + 993048*y^21 - 647542*y^22 + 391234*y^23 - 217693*y^24 + 110606*y^25 - 50724*y^26 + 20682*y^27 - 7352*y^28 + 2220*y^29 - 549*y^30 + 105*y^31 - 14*y^32 + y^33)", "(-1 + y)^3*(-1 + 340*y - 1726*y^2 + 4028*y^3 + 73915*y^4 + 322752*y^5 + 1244780*y^6 + 6167996*y^7 + 24810282*y^8 + 70595516*y^9 + 147857432*y^10 + 238901196*y^11 + 307498212*y^12 + 321180656*y^13 + 274209790*y^14 + 190907118*y^15 + 107448467*y^16 + 48961754*y^17 + 19745042*y^18 + 9772856*y^19 + 7101373*y^20 + 5236200*y^21 + 3000922*y^22 + 1185706*y^23 + 241831*y^24 - 44558*y^25 - 57328*y^26 - 22786*y^27 - 4452*y^28 + 64*y^29 + 307*y^30 + 93*y^31 + 14*y^32 + y^33)", "y^3*(-64 - 304*y + 712*y^2 + 7665*y^3 + 16487*y^4 - 12276*y^5 - 124572*y^6 - 222320*y^7 - 12560*y^8 + 595840*y^9 + 1105280*y^10 + 1042542*y^11 + 907674*y^12 + 1494560*y^13 + 2249176*y^14 + 1717226*y^15 - 133222*y^16 - 1518834*y^17 - 1186300*y^18 + 104825*y^19 + 873179*y^20 + 682080*y^21 + 141472*y^22 - 153594*y^23 - 141458*y^24 - 34850*y^25 + 24548*y^26 + 29009*y^27 + 15495*y^28 + 5378*y^29 + 1288*y^30 + 209*y^31 + 21*y^32 + y^33)", "(-1 + y)^3*(-1 + 32*y - 342*y^2 + 2072*y^3 - 8685*y^4 + 28160*y^5 - 75428*y^6 + 173460*y^7 - 350294*y^8 + 630420*y^9 - 1021256*y^10 + 1501220*y^11 - 2015956*y^12 + 2488184*y^13 - 2837586*y^14 + 3003550*y^15 - 2961049*y^16 + 2725230*y^17 - 2344442*y^18 + 1885572*y^19 - 1416819*y^20 + 993048*y^21 - 647542*y^22 + 391234*y^23 - 217693*y^24 + 110606*y^25 - 50724*y^26 + 20682*y^27 - 7352*y^28 + 2220*y^29 - 549*y^30 + 105*y^31 - 14*y^32 + y^33)" ] }, "GeometricRepresentation":[ 1.2185500000000001e1, [ "J10_55_0", 1, "{29, 30}" ] ] } }