{ "Index":164, "Name":"10_80", "RolfsenName":"10_80", "DTname":"10a_8", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{16, 10, 18, 12, 4, 14, 8, 20, 2, 6}", "Acode":"{9, 6, 10, 7, 3, 8, 5, 1, 2, 4}", "PDcode":[ "{1, 17, 2, 16}", "{3, 11, 4, 10}", "{5, 19, 6, 18}", "{7, 13, 8, 12}", "{9, 5, 10, 4}", "{11, 15, 12, 14}", "{13, 9, 14, 8}", "{15, 1, 16, 20}", "{17, 3, 18, 2}", "{19, 7, 20, 6}" ], "CBtype":"{2, 2}", "ParabolicReps":{ "SolvingSeq":[ "{4, 7, 1}", [], [ "{4, 7, 5, 1}", "{7, 5, 8, 1}", "{8, 1, 9, 1}", "{7, 8, 6, 2}", "{1, 4, 10, 2}", "{4, 10, 3, 2}", "{3, 6, 2, 2}" ], "{1, 5}", "{9}", 9 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + a + a*b + b^2 - a*u^2 - a^3*u^2 - b*u^2 - 2*a^2*b*u^2 - a*b^2*u^2 + u^4 + a*u^4 + 2*a^3*u^4 - a*b*u^4 + 2*a^2*b*u^4 - b^2*u^4 - u^6 - a^3*u^6 + a*b*u^6 + 2*b^2*u^6 + u^8 - a*b*u^8 - b^2*u^8", "b + b^2 + u^2 + a*u^2 + b*u^2 - a*b*u^2 - a^2*b*u^2 - b^2*u^2 - 2*a*b^2*u^2 - b^3*u^2 - 2*u^4 - 2*a*u^4 - 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110*u^35 - 37*u^36 + 34*u^37 - 2*u^38 - 4*u^39 + u^40", "1 + 38*u + 263*u^2 + 1102*u^3 + 3627*u^4 + 10314*u^5 + 26250*u^6 + 62216*u^7 + 138367*u^8 + 283976*u^9 + 535074*u^10 + 935544*u^11 + 1536540*u^12 + 2383144*u^13 + 3492112*u^14 + 4835722*u^15 + 6339307*u^16 + 7887988*u^17 + 9336141*u^18 + 10520122*u^19 + 11287799*u^20 + 11553258*u^21 + 11345790*u^22 + 10793578*u^23 + 10029884*u^24 + 9099436*u^25 + 7959855*u^26 + 6579216*u^27 + 5031404*u^28 + 3498016*u^29 + 2181184*u^30 + 1206643*u^31 + 586323*u^32 + 247553*u^33 + 89623*u^34 + 27338*u^35 + 6855*u^36 + 1362*u^37 + 202*u^38 + 20*u^39 + u^40", "1 + 918*u - 7329*u^2 + 37966*u^3 - 221109*u^4 + 816146*u^5 - 3077374*u^6 + 10846944*u^7 - 21665137*u^8 + 44445864*u^9 - 47743758*u^10 + 40961592*u^11 + 9655260*u^12 - 91022120*u^13 + 133998688*u^14 - 254295238*u^15 + 305195175*u^16 - 309491920*u^17 + 336820369*u^18 - 261368862*u^19 + 241648091*u^20 - 163286198*u^21 + 124865862*u^22 - 74834270*u^23 + 47991024*u^24 - 25939672*u^25 + 14167211*u^26 - 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730164*u^24 - 694838*u^25 + 202969*u^26 + 380992*u^27 + 90098*u^28 - 49646*u^29 - 20598*u^30 + 7201*u^31 + 7731*u^32 + 3655*u^33 + 1485*u^34 + 378*u^35 + 107*u^36 + 64*u^37 + 32*u^38 + 8*u^39 + u^40", "-71839 - 620259*u - 1779169*u^2 + 777014*u^3 + 20671053*u^4 + 71953075*u^5 + 146787150*u^6 + 224849851*u^7 + 346967085*u^8 + 674670896*u^9 + 1411598244*u^10 + 2619920624*u^11 + 4128165698*u^12 + 5632355484*u^13 + 6865760502*u^14 + 7666790842*u^15 + 7942105511*u^16 + 7643675273*u^17 + 6808928359*u^18 + 5594165982*u^19 + 4232767887*u^20 + 2950171797*u^21 + 1897305296*u^22 + 1128795975*u^23 + 622909182*u^24 + 318967889*u^25 + 151892911*u^26 + 67141522*u^27 + 27573604*u^28 + 10508340*u^29 + 3702746*u^30 + 1207015*u^31 + 361244*u^32 + 100564*u^33 + 25995*u^34 + 6038*u^35 + 1351*u^36 + 269*u^37 + 40*u^38 + 7*u^39 + u^40", "-8 - 28*u + 36*u^2 + 285*u^3 + 289*u^4 - 400*u^5 - 604*u^6 + 272*u^7 - 131*u^8 - 1010*u^9 + 1098*u^10 + 2156*u^11 - 1066*u^12 - 1700*u^13 + 1316*u^14 + 828*u^15 - 1920*u^16 - 1336*u^17 + 1126*u^18 + 1585*u^19 + 667*u^20 + 486*u^21 - 714*u^22 - 2976*u^23 - 1323*u^24 + 3044*u^25 + 2914*u^26 - 1107*u^27 - 2561*u^28 - 502*u^29 + 1236*u^30 + 817*u^31 - 282*u^32 - 463*u^33 - 26*u^34 + 147*u^35 + 37*u^36 - 26*u^37 - 10*u^38 + 2*u^39 + u^40", "64 + 1360*u + 12632*u^2 + 73153*u^3 + 285361*u^4 + 747712*u^5 + 1299246*u^6 + 1511020*u^7 + 1489709*u^8 + 2495296*u^9 + 5648408*u^10 + 10133894*u^11 + 14078478*u^12 + 16443064*u^13 + 15807316*u^14 + 9147726*u^15 - 3615576*u^16 - 15006510*u^17 - 15791572*u^18 - 5853197*u^19 + 5789391*u^20 + 12262588*u^21 + 15145266*u^22 + 18603342*u^23 + 22220513*u^24 + 22353174*u^25 + 17765260*u^26 + 11098823*u^27 + 5672207*u^28 + 2699962*u^29 + 1481838*u^30 + 959955*u^31 + 599202*u^32 + 313067*u^33 + 130580*u^34 + 42765*u^35 + 10821*u^36 + 2056*u^37 + 278*u^38 + 24*u^39 + u^40", "149 + 246*u - 399*u^2 + 2076*u^3 + 3025*u^4 - 14310*u^5 + 4280*u^6 + 87810*u^7 + 156755*u^8 + 361442*u^9 + 313346*u^10 - 634408*u^11 - 1295896*u^12 - 2595694*u^13 - 2494020*u^14 + 9736070*u^15 + 17161825*u^16 - 2013434*u^17 - 16087041*u^18 - 10520232*u^19 - 13278111*u^20 - 781882*u^21 + 30712552*u^22 + 17970154*u^23 - 21702138*u^24 - 17481922*u^25 + 8156695*u^26 + 8496730*u^27 - 1760970*u^28 - 2540342*u^29 + 187970*u^30 + 499285*u^31 + 4035*u^32 - 65281*u^33 - 4217*u^34 + 5504*u^35 + 587*u^36 - 272*u^37 - 38*u^38 + 6*u^39 + u^40", "-383 - 5103*u - 61421*u^2 - 196866*u^3 + 8159*u^4 + 1502381*u^5 + 2547174*u^6 - 3909075*u^7 - 14215523*u^8 + 7844622*u^9 + 53062338*u^10 + 7213334*u^11 - 109465942*u^12 - 51461480*u^13 + 102471772*u^14 + 12332204*u^15 + 48428043*u^16 - 50208625*u^17 - 9720167*u^18 + 891548*u^19 + 2148167*u^20 + 12268099*u^21 + 635800*u^22 + 3873983*u^23 - 1974812*u^24 + 558689*u^25 - 240885*u^26 - 77230*u^27 + 215172*u^28 - 107006*u^29 + 86444*u^30 - 43385*u^31 + 19550*u^32 - 8858*u^33 + 3447*u^34 - 942*u^35 + 415*u^36 - 47*u^37 + 30*u^38 - u^39 + u^40", "361 - 1214*u - 130*u^2 + 906*u^3 + 25003*u^4 - 23553*u^5 - 190449*u^6 + 409111*u^7 + 160557*u^8 - 761154*u^9 + 7474*u^10 - 607692*u^11 + 2726300*u^12 + 4484074*u^13 - 10454886*u^14 - 15091032*u^15 + 29260197*u^16 + 29727280*u^17 - 55463684*u^18 - 41788864*u^19 + 52353645*u^20 + 57326099*u^21 - 16491417*u^22 - 28168255*u^23 + 459730*u^24 + 2836638*u^25 - 971506*u^26 - 190204*u^27 + 324902*u^28 + 209959*u^29 + 29800*u^30 + 48634*u^31 + 23340*u^32 + 9785*u^33 + 2520*u^34 + 1206*u^35 + 379*u^36 + 103*u^37 + 23*u^38 + 5*u^39 + u^40", "-1273 + 2477*u - 3715*u^2 + 6502*u^3 + 26891*u^4 - 143499*u^5 + 302992*u^6 + 140977*u^7 - 1364443*u^8 + 543918*u^9 + 3438294*u^10 - 5491734*u^11 - 4935870*u^12 + 17446466*u^13 + 1818566*u^14 - 22346010*u^15 + 7680073*u^16 + 18036191*u^17 - 13158565*u^18 - 10731692*u^19 + 13439627*u^20 + 3696407*u^21 - 9317282*u^22 - 24329*u^23 + 4812216*u^24 - 840917*u^25 - 1827115*u^26 + 545298*u^27 + 502672*u^28 - 200422*u^29 - 98818*u^30 + 51003*u^31 + 14076*u^32 - 9580*u^33 - 1611*u^34 + 1304*u^35 + 181*u^36 - 115*u^37 - 18*u^38 + 5*u^39 + u^40", "149 - 685*u + 1746*u^2 + 23350*u^3 + 990*u^4 - 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2*u - u^2", 0 ], [ "u", "1 - u - u^2" ], "{1, 0}", "{1, 0}", [ 1, "u^2" ], [ "1 - u^2", "u^2" ], [ 0, "u" ], [ "-u", "-1 + u + u^2" ], [ "-1 - 3*u - u^2", "-1 + u + u^2" ], [ "-1 - 2*u - u^2", 0 ] ], "Obstruction":1, "ComplexVolumeN":[ "1.37919 + 2.82812*I", "1.37919 - 2.82812*I", -2.75839 ], "uPolysN":[ "1 + 3*u + 3*u^2 + u^3", "-1 + 2*u - u^2 + u^3", "u^3", "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u^2 + u^3", "-1 + 3*u - 3*u^2 + u^3", "-1 + 3*u - 3*u^2 + u^3", "u^3" ], "uPolys":[ "(1 + u)^3", "-1 + 2*u - u^2 + u^3", "u^3", "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u^2 + u^3", "(-1 + u)^3", "(-1 + u)^3", "u^3" ], "aCuspShape":"-8 + u^2", "RepresentationsN":[ [ "u->-0.877439 + 0.744862 I", "a->0.539798 - 0.182582 I", "b->0" ], [ "u->-0.877439 - 0.744862 I", "a->0.539798 + 0.182582 I", "b->0" ], [ "u->0.754878", "a->-3.0796", "b->0" ] ], "Epsilon":1.53383, "uPolys_ij":[ "(1 + u)^3", "u^3", "(-1 + u)^3", "1 + u + 2*u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "-1 + u - 2*u^2 + u^3", "-7 - u - u^2 + u^3", "1 + 2*u + 3*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "-1 + 2*u - 3*u^2 + u^3", "-11 + 7*u - 4*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^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "-1 + u - 2*u^2 + u^3", "-7 - u - u^2 + u^3", "1 + 2*u + 3*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3", "-1 + 2*u - 3*u^2 + u^3", "-11 + 7*u - 4*u^2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{1, 8}", "{1, 9}", "{2, 9}", "{2, 10}" ], [ "{1, 3}", "{1, 4}", "{1, 10}", "{2, 8}", "{3, 4}", "{3, 10}", "{4, 10}" ], [ "{1, 2}", "{8, 9}", "{8, 10}", "{9, 10}" ], [ "{1, 5}", "{1, 6}" ], [ "{2, 5}", "{3, 7}", "{4, 7}", "{5, 7}", "{5, 8}" ], [ "{2, 6}", "{2, 7}", "{3, 5}", "{3, 6}", "{4, 5}", "{4, 6}", "{6, 8}", "{7, 8}" ], [ "{5, 10}", "{6, 10}" ], [ "{5, 9}" ], [ "{1, 7}" ], [ "{2, 3}", "{2, 4}", "{3, 8}", "{3, 9}", "{4, 8}", "{4, 9}", "{5, 6}", "{6, 7}" ], [ "{6, 9}", "{7, 10}" ], [ "{7, 9}" ] ], "SortedReprnIndices":"{1, 2, 3}", "aCuspShapeN":[ "-7.7849201454990266329`5.144477738880008 - 1.3071412786820454805`4.3695461063795245*I", "-7.7849201454990266329`5.144477738880008 + 1.3071412786820454805`4.3695461063795245*I", -7.4302 ], "Abelian":false }, { "IdealName":"J10_80_2", "Generators":[ "-1 - a + b", "-1 + a + a^2", "-1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.2498e-2, "TimingZeroDimVars":7.559199999999999e-2, "TimingmagmaVCompNormalize":7.6976e-2, "TimingNumberOfSols":3.1581000000000005e-2, "TimingIsRadical":2.0e-3, "TimingArcColoring":6.722500000000001e-2, "TimingObstruction":1.174e-3, "TimingComplexVolumeN":2.63801, "TimingaCuspShapeN":7.366e-3, "TiminguValues":0.63738, "TiminguPolysN":3.290000000000001e-4, "TiminguPolys":0.818142, "TimingaCuspShape":9.6875e-2, "TimingRepresentationsN":3.3558e-2, "TiminguValues_ij":0.153288, "TiminguPolys_ij_N":4.72e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ "a", "1 + a" ], [ "-2 - a", "-2 - a" ], [ "-2 - a", "-2 - a" ], "{1, 0}", "{1, 1}", "{1, 1}", "{0, 1}", "{-1, 0}", [ -2, "-2 - a" ], [ "1 + 2*a", "1 + a" ] ], "Obstruction":1, "ComplexVolumeN":[ -1.05276e1, -2.63189 ], "uPolysN":[ "-1 - u + u^2", "u^2", "-1 - u + u^2", "1 - 2*u + u^2", "u^2", "1 - 2*u + u^2", "1 + 2*u + u^2", "-1 + u + u^2", "-1 + u + u^2", "-1 + u + u^2" ], "uPolys":[ "-1 - u + u^2", "u^2", "-1 - u + u^2", "(-1 + u)^2", "u^2", "(-1 + u)^2", "(1 + u)^2", "-1 + u + u^2", "-1 + u + u^2", "-1 + u + u^2" ], "aCuspShape":-11, "RepresentationsN":[ [ "u->1.", "a->0.618034", "b->1.61803" ], [ "u->1.", "a->-1.61803", "b->-0.618034" ] ], "Epsilon":3.16228, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "4 - 4*u + u^2", "-5 + u^2", "1 + 3*u + u^2", "-1 + u + u^2", "-1 - u + u^2", "-1 + u + u^2", "-1 - u + u^2", "1 - 3*u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 5}", "{1, 6}" ], [ "{2, 3}", "{2, 5}", "{2, 6}", "{3, 5}", "{3, 6}", "{4, 8}", "{5, 6}" ], [ "{4, 5}", "{4, 6}", "{4, 7}", "{5, 7}", "{5, 8}", "{6, 7}", "{6, 8}", "{7, 8}" ], [ "{7, 9}" ], [ "{7, 10}" ], [ "{1, 10}", "{2, 7}", "{2, 8}", "{3, 7}", "{3, 8}", "{4, 9}" ], [ "{1, 4}", "{8, 10}" ], [ "{5, 9}", "{5, 10}", "{6, 9}", "{6, 10}" ], [ "{1, 7}" ], [ "{1, 8}", "{1, 9}", "{2, 9}", "{2, 10}", "{3, 9}", "{3, 10}", "{4, 10}" ], [ "{1, 2}", "{1, 3}", "{2, 4}", "{3, 4}", "{8, 9}", "{9, 10}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":[ -1.1e1, -1.1e1 ], "Abelian":false }, { "IdealName":"abJ10_80_3", "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":8.0511e-2, "TimingZeroDimVars":7.3226e-2, "TimingmagmaVCompNormalize":7.4576e-2, "TimingNumberOfSols":2.3731000000000002e-2, "TimingIsRadical":1.494e-3, "TimingArcColoring":5.3526e-2, "TimingObstruction":4.5400000000000003e-4, "TimingComplexVolumeN":0.410689, "TimingaCuspShapeN":4.252e-3, "TiminguValues":0.650564, "TiminguPolysN":7.500000000000002e-5, "TiminguPolys":0.802635, "TimingaCuspShape":8.3364e-2, "TimingRepresentationsN":2.6204e-2, "TiminguValues_ij":0.144378, "TiminguPoly_ij":0.150365, "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)^3*(-1 - u + u^2)*(1 + 6*u + 30*u^2 + 64*u^3 + 31*u^4 + 19*u^5 + 101*u^6 + 135*u^7 - 253*u^8 - 568*u^9 - 376*u^10 - 852*u^11 - 1576*u^12 + 1478*u^13 + 8724*u^14 + 7556*u^15 - 10587*u^16 - 24160*u^17 - 4774*u^18 + 30340*u^19 + 28391*u^20 - 16243*u^21 - 39227*u^22 - 5753*u^23 + 30938*u^24 + 18316*u^25 - 15204*u^26 - 17686*u^27 + 4106*u^28 + 11005*u^29 - 28*u^30 - 5010*u^31 - 400*u^32 + 1715*u^33 + 114*u^34 - 424*u^35 + 3*u^36 + 67*u^37 - 7*u^38 - 5*u^39 + u^40)", "u^2*(-1 + 2*u - u^2 + u^3)*(-4 + 4*u + 11*u^2 - 26*u^3 + 78*u^4 + 2*u^5 + 69*u^6 + 274*u^7 - 25*u^8 + 652*u^9 + 140*u^10 + 776*u^11 + 698*u^12 + 584*u^13 + 1558*u^14 + 14*u^15 + 2602*u^16 - 762*u^17 + 3411*u^18 - 1226*u^19 + 3398*u^20 - 986*u^21 + 2547*u^22 - 398*u^23 + 1563*u^24 - 94*u^25 + 1015*u^26 - 198*u^27 + 830*u^28 - 368*u^29 + 668*u^30 - 352*u^31 + 420*u^32 - 207*u^33 + 189*u^34 - 78*u^35 + 58*u^36 - 18*u^37 + 11*u^38 - 2*u^39 + u^40)", "u^3*(-1 - u + u^2)*(-8 - 28*u + 36*u^2 + 285*u^3 + 289*u^4 - 400*u^5 - 604*u^6 + 272*u^7 - 131*u^8 - 1010*u^9 + 1098*u^10 + 2156*u^11 - 1066*u^12 - 1700*u^13 + 1316*u^14 + 828*u^15 - 1920*u^16 - 1336*u^17 + 1126*u^18 + 1585*u^19 + 667*u^20 + 486*u^21 - 714*u^22 - 2976*u^23 - 1323*u^24 + 3044*u^25 + 2914*u^26 - 1107*u^27 - 2561*u^28 - 502*u^29 + 1236*u^30 + 817*u^31 - 282*u^32 - 463*u^33 - 26*u^34 + 147*u^35 + 37*u^36 - 26*u^37 - 10*u^38 + 2*u^39 + u^40)", "(-1 + u)^2*(-1 + u^2 + u^3)*(1 + 2*u - 17*u^2 + 26*u^3 + 39*u^4 - 166*u^5 + 118*u^6 + 304*u^7 - 649*u^8 + 88*u^9 + 1066*u^10 - 1048*u^11 - 676*u^12 + 1648*u^13 + 56*u^14 - 1798*u^15 + 83*u^16 + 2636*u^17 - 923*u^18 - 3686*u^19 + 3499*u^20 + 2586*u^21 - 5782*u^22 + 914*u^23 + 5068*u^24 - 3836*u^25 - 1953*u^26 + 3928*u^27 - 672*u^28 - 2128*u^29 + 1340*u^30 + 523*u^31 - 819*u^32 + 87*u^33 + 263*u^34 - 110*u^35 - 37*u^36 + 34*u^37 - 2*u^38 - 4*u^39 + u^40)", "u^2*(1 + 2*u + u^2 + u^3)*(-4 + 4*u + 11*u^2 - 26*u^3 + 78*u^4 + 2*u^5 + 69*u^6 + 274*u^7 - 25*u^8 + 652*u^9 + 140*u^10 + 776*u^11 + 698*u^12 + 584*u^13 + 1558*u^14 + 14*u^15 + 2602*u^16 - 762*u^17 + 3411*u^18 - 1226*u^19 + 3398*u^20 - 986*u^21 + 2547*u^22 - 398*u^23 + 1563*u^24 - 94*u^25 + 1015*u^26 - 198*u^27 + 830*u^28 - 368*u^29 + 668*u^30 - 352*u^31 + 420*u^32 - 207*u^33 + 189*u^34 - 78*u^35 + 58*u^36 - 18*u^37 + 11*u^38 - 2*u^39 + u^40)", "(-1 + u)^2*(-1 + 2*u - u^2 + u^3)*(1 + 38*u + 263*u^2 + 1102*u^3 + 3627*u^4 + 10314*u^5 + 26250*u^6 + 62216*u^7 + 138367*u^8 + 283976*u^9 + 535074*u^10 + 935544*u^11 + 1536540*u^12 + 2383144*u^13 + 3492112*u^14 + 4835722*u^15 + 6339307*u^16 + 7887988*u^17 + 9336141*u^18 + 10520122*u^19 + 11287799*u^20 + 11553258*u^21 + 11345790*u^22 + 10793578*u^23 + 10029884*u^24 + 9099436*u^25 + 7959855*u^26 + 6579216*u^27 + 5031404*u^28 + 3498016*u^29 + 2181184*u^30 + 1206643*u^31 + 586323*u^32 + 247553*u^33 + 89623*u^34 + 27338*u^35 + 6855*u^36 + 1362*u^37 + 202*u^38 + 20*u^39 + u^40)", "(1 + u)^2*(1 - u^2 + u^3)*(1 + 2*u - 17*u^2 + 26*u^3 + 39*u^4 - 166*u^5 + 118*u^6 + 304*u^7 - 649*u^8 + 88*u^9 + 1066*u^10 - 1048*u^11 - 676*u^12 + 1648*u^13 + 56*u^14 - 1798*u^15 + 83*u^16 + 2636*u^17 - 923*u^18 - 3686*u^19 + 3499*u^20 + 2586*u^21 - 5782*u^22 + 914*u^23 + 5068*u^24 - 3836*u^25 - 1953*u^26 + 3928*u^27 - 672*u^28 - 2128*u^29 + 1340*u^30 + 523*u^31 - 819*u^32 + 87*u^33 + 263*u^34 - 110*u^35 - 37*u^36 + 34*u^37 - 2*u^38 - 4*u^39 + u^40)", "(-1 + u)^3*(-1 + u + u^2)*(1 + 6*u + 30*u^2 + 64*u^3 + 31*u^4 + 19*u^5 + 101*u^6 + 135*u^7 - 253*u^8 - 568*u^9 - 376*u^10 - 852*u^11 - 1576*u^12 + 1478*u^13 + 8724*u^14 + 7556*u^15 - 10587*u^16 - 24160*u^17 - 4774*u^18 + 30340*u^19 + 28391*u^20 - 16243*u^21 - 39227*u^22 - 5753*u^23 + 30938*u^24 + 18316*u^25 - 15204*u^26 - 17686*u^27 + 4106*u^28 + 11005*u^29 - 28*u^30 - 5010*u^31 - 400*u^32 + 1715*u^33 + 114*u^34 - 424*u^35 + 3*u^36 + 67*u^37 - 7*u^38 - 5*u^39 + u^40)", "(-1 + u)^3*(-1 + u + u^2)*(1 + 6*u + 30*u^2 + 64*u^3 + 31*u^4 + 19*u^5 + 101*u^6 + 135*u^7 - 253*u^8 - 568*u^9 - 376*u^10 - 852*u^11 - 1576*u^12 + 1478*u^13 + 8724*u^14 + 7556*u^15 - 10587*u^16 - 24160*u^17 - 4774*u^18 + 30340*u^19 + 28391*u^20 - 16243*u^21 - 39227*u^22 - 5753*u^23 + 30938*u^24 + 18316*u^25 - 15204*u^26 - 17686*u^27 + 4106*u^28 + 11005*u^29 - 28*u^30 - 5010*u^31 - 400*u^32 + 1715*u^33 + 114*u^34 - 424*u^35 + 3*u^36 + 67*u^37 - 7*u^38 - 5*u^39 + u^40)", "u^3*(-1 + u + u^2)*(-8 - 28*u + 36*u^2 + 285*u^3 + 289*u^4 - 400*u^5 - 604*u^6 + 272*u^7 - 131*u^8 - 1010*u^9 + 1098*u^10 + 2156*u^11 - 1066*u^12 - 1700*u^13 + 1316*u^14 + 828*u^15 - 1920*u^16 - 1336*u^17 + 1126*u^18 + 1585*u^19 + 667*u^20 + 486*u^21 - 714*u^22 - 2976*u^23 - 1323*u^24 + 3044*u^25 + 2914*u^26 - 1107*u^27 - 2561*u^28 - 502*u^29 + 1236*u^30 + 817*u^31 - 282*u^32 - 463*u^33 - 26*u^34 + 147*u^35 + 37*u^36 - 26*u^37 - 10*u^38 + 2*u^39 + u^40)" ], "RileyPolyC":[ "(-1 + y)^3*(1 - 3*y + y^2)*(1 + 24*y + 194*y^2 - 2262*y^3 + 2463*y^4 - 20495*y^5 + 46601*y^6 - 56851*y^7 + 298491*y^8 - 1057972*y^9 + 2889368*y^10 - 7896288*y^11 + 18405048*y^12 - 35804994*y^13 + 65226948*y^14 - 115062180*y^15 + 185909973*y^16 - 272881678*y^17 + 385645582*y^18 - 544777034*y^19 + 743266223*y^20 - 930331013*y^21 + 1052420489*y^22 - 1099610443*y^23 + 1095617322*y^24 - 1051391730*y^25 + 949621720*y^26 - 777416012*y^27 + 558679258*y^28 - 345201463*y^29 + 181114580*y^30 - 80001094*y^31 + 29522608*y^32 - 9020495*y^33 + 2254910*y^34 - 453458*y^35 + 71579*y^36 - 8543*y^37 + 725*y^38 - 39*y^39 + y^40)", "y^2*(-1 + 2*y + 3*y^2 + y^3)*(16 - 104*y - 295*y^2 + 472*y^3 + 5714*y^4 + 18122*y^5 + 24957*y^6 - 20722*y^7 - 187851*y^8 - 483536*y^9 - 708334*y^10 - 361088*y^11 + 1287448*y^12 + 4912212*y^13 + 10759532*y^14 + 18370072*y^15 + 26597136*y^16 + 33946922*y^17 + 39061671*y^18 + 41102800*y^19 + 39931358*y^20 + 36093922*y^21 + 30609701*y^22 + 24593942*y^23 + 18893137*y^24 + 13941398*y^25 + 9860887*y^26 + 6637612*y^27 + 4217364*y^28 + 2513104*y^29 + 1397252*y^30 + 719960*y^31 + 340000*y^32 + 144737*y^33 + 54361*y^34 + 17556*y^35 + 4726*y^36 + 1018*y^37 + 165*y^38 + 18*y^39 + y^40)", "y^3*(1 - 3*y + y^2)*(64 - 1360*y + 12632*y^2 - 73153*y^3 + 285361*y^4 - 747712*y^5 + 1299246*y^6 - 1511020*y^7 + 1489709*y^8 - 2495296*y^9 + 5648408*y^10 - 10133894*y^11 + 14078478*y^12 - 16443064*y^13 + 15807316*y^14 - 9147726*y^15 - 3615576*y^16 + 15006510*y^17 - 15791572*y^18 + 5853197*y^19 + 5789391*y^20 - 12262588*y^21 + 15145266*y^22 - 18603342*y^23 + 22220513*y^24 - 22353174*y^25 + 17765260*y^26 - 11098823*y^27 + 5672207*y^28 - 2699962*y^29 + 1481838*y^30 - 959955*y^31 + 599202*y^32 - 313067*y^33 + 130580*y^34 - 42765*y^35 + 10821*y^36 - 2056*y^37 + 278*y^38 - 24*y^39 + y^40)", "(-1 + y)^2*(-1 + 2*y - y^2 + y^3)*(1 - 38*y + 263*y^2 - 1102*y^3 + 3627*y^4 - 10314*y^5 + 26250*y^6 - 62216*y^7 + 138367*y^8 - 283976*y^9 + 535074*y^10 - 935544*y^11 + 1536540*y^12 - 2383144*y^13 + 3492112*y^14 - 4835722*y^15 + 6339307*y^16 - 7887988*y^17 + 9336141*y^18 - 10520122*y^19 + 11287799*y^20 - 11553258*y^21 + 11345790*y^22 - 10793578*y^23 + 10029884*y^24 - 9099436*y^25 + 7959855*y^26 - 6579216*y^27 + 5031404*y^28 - 3498016*y^29 + 2181184*y^30 - 1206643*y^31 + 586323*y^32 - 247553*y^33 + 89623*y^34 - 27338*y^35 + 6855*y^36 - 1362*y^37 + 202*y^38 - 20*y^39 + y^40)", "y^2*(-1 + 2*y + 3*y^2 + y^3)*(16 - 104*y - 295*y^2 + 472*y^3 + 5714*y^4 + 18122*y^5 + 24957*y^6 - 20722*y^7 - 187851*y^8 - 483536*y^9 - 708334*y^10 - 361088*y^11 + 1287448*y^12 + 4912212*y^13 + 10759532*y^14 + 18370072*y^15 + 26597136*y^16 + 33946922*y^17 + 39061671*y^18 + 41102800*y^19 + 39931358*y^20 + 36093922*y^21 + 30609701*y^22 + 24593942*y^23 + 18893137*y^24 + 13941398*y^25 + 9860887*y^26 + 6637612*y^27 + 4217364*y^28 + 2513104*y^29 + 1397252*y^30 + 719960*y^31 + 340000*y^32 + 144737*y^33 + 54361*y^34 + 17556*y^35 + 4726*y^36 + 1018*y^37 + 165*y^38 + 18*y^39 + y^40)", "(-1 + y)^2*(-1 + 2*y + 3*y^2 + y^3)*(1 - 918*y - 7329*y^2 - 37966*y^3 - 221109*y^4 - 816146*y^5 - 3077374*y^6 - 10846944*y^7 - 21665137*y^8 - 44445864*y^9 - 47743758*y^10 - 40961592*y^11 + 9655260*y^12 + 91022120*y^13 + 133998688*y^14 + 254295238*y^15 + 305195175*y^16 + 309491920*y^17 + 336820369*y^18 + 261368862*y^19 + 241648091*y^20 + 163286198*y^21 + 124865862*y^22 + 74834270*y^23 + 47991024*y^24 + 25939672*y^25 + 14167211*y^26 + 7071480*y^27 + 3305996*y^28 + 1531796*y^29 + 613568*y^30 + 251069*y^31 + 83823*y^32 + 27323*y^33 + 7603*y^34 + 1854*y^35 + 531*y^36 + 102*y^37 + 34*y^38 + 4*y^39 + y^40)", "(-1 + y)^2*(-1 + 2*y - y^2 + y^3)*(1 - 38*y + 263*y^2 - 1102*y^3 + 3627*y^4 - 10314*y^5 + 26250*y^6 - 62216*y^7 + 138367*y^8 - 283976*y^9 + 535074*y^10 - 935544*y^11 + 1536540*y^12 - 2383144*y^13 + 3492112*y^14 - 4835722*y^15 + 6339307*y^16 - 7887988*y^17 + 9336141*y^18 - 10520122*y^19 + 11287799*y^20 - 11553258*y^21 + 11345790*y^22 - 10793578*y^23 + 10029884*y^24 - 9099436*y^25 + 7959855*y^26 - 6579216*y^27 + 5031404*y^28 - 3498016*y^29 + 2181184*y^30 - 1206643*y^31 + 586323*y^32 - 247553*y^33 + 89623*y^34 - 27338*y^35 + 6855*y^36 - 1362*y^37 + 202*y^38 - 20*y^39 + y^40)", "(-1 + y)^3*(1 - 3*y + y^2)*(1 + 24*y + 194*y^2 - 2262*y^3 + 2463*y^4 - 20495*y^5 + 46601*y^6 - 56851*y^7 + 298491*y^8 - 1057972*y^9 + 2889368*y^10 - 7896288*y^11 + 18405048*y^12 - 35804994*y^13 + 65226948*y^14 - 115062180*y^15 + 185909973*y^16 - 272881678*y^17 + 385645582*y^18 - 544777034*y^19 + 743266223*y^20 - 930331013*y^21 + 1052420489*y^22 - 1099610443*y^23 + 1095617322*y^24 - 1051391730*y^25 + 949621720*y^26 - 777416012*y^27 + 558679258*y^28 - 345201463*y^29 + 181114580*y^30 - 80001094*y^31 + 29522608*y^32 - 9020495*y^33 + 2254910*y^34 - 453458*y^35 + 71579*y^36 - 8543*y^37 + 725*y^38 - 39*y^39 + y^40)", "(-1 + y)^3*(1 - 3*y + y^2)*(1 + 24*y + 194*y^2 - 2262*y^3 + 2463*y^4 - 20495*y^5 + 46601*y^6 - 56851*y^7 + 298491*y^8 - 1057972*y^9 + 2889368*y^10 - 7896288*y^11 + 18405048*y^12 - 35804994*y^13 + 65226948*y^14 - 115062180*y^15 + 185909973*y^16 - 272881678*y^17 + 385645582*y^18 - 544777034*y^19 + 743266223*y^20 - 930331013*y^21 + 1052420489*y^22 - 1099610443*y^23 + 1095617322*y^24 - 1051391730*y^25 + 949621720*y^26 - 777416012*y^27 + 558679258*y^28 - 345201463*y^29 + 181114580*y^30 - 80001094*y^31 + 29522608*y^32 - 9020495*y^33 + 2254910*y^34 - 453458*y^35 + 71579*y^36 - 8543*y^37 + 725*y^38 - 39*y^39 + y^40)", "y^3*(1 - 3*y + y^2)*(64 - 1360*y + 12632*y^2 - 73153*y^3 + 285361*y^4 - 747712*y^5 + 1299246*y^6 - 1511020*y^7 + 1489709*y^8 - 2495296*y^9 + 5648408*y^10 - 10133894*y^11 + 14078478*y^12 - 16443064*y^13 + 15807316*y^14 - 9147726*y^15 - 3615576*y^16 + 15006510*y^17 - 15791572*y^18 + 5853197*y^19 + 5789391*y^20 - 12262588*y^21 + 15145266*y^22 - 18603342*y^23 + 22220513*y^24 - 22353174*y^25 + 17765260*y^26 - 11098823*y^27 + 5672207*y^28 - 2699962*y^29 + 1481838*y^30 - 959955*y^31 + 599202*y^32 - 313067*y^33 + 130580*y^34 - 42765*y^35 + 10821*y^36 - 2056*y^37 + 278*y^38 - 24*y^39 + y^40)" ] }, "GeometricRepresentation":[ 1.3393999999999998e1, [ "J10_80_0", 1, "{36, 37}" ] ] } }