{ "Index":280, "Name":"11a_31", "RolfsenName":"11a_31", "DTname":"11a_31", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{7, 1, 13, 3, -19, 21, 5, 9, -11, 17, 15}", "Acode":"{4, 1, 7, 2, -10, 11, 3, 5, -6, 9, 8}", "PDcode":[ "{4, 2, 5, 1}", "{8, 4, 9, 3}", "{14, 6, 15, 5}", "{22, 16, 1, 15}", "{16, 10, 17, 9}", "{20, 18, 21, 17}", "{18, 11, 19, 12}", "{10, 19, 11, 20}", "{12, 22, 13, 21}", "{6, 14, 7, 13}", "{2, 8, 3, 7}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{5, 10, 2}", [], [ "{5, -10, 6, 1}", "{5, 2, 4, 2}", "{2, 4, 1, 2}", "{10, -6, 9, 2}", "{10, 9, 11, 1}", "{6, 11, 7, 1}", "{4, 7, 3, 2}", "{9, 5, 8, 2}" ], "{2, 11}", "{7}", 7 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + a + a*b + b^2 - a*b^2 - b^3 + a*b^4 + 2*u^4 - 2*a*b*u^4 - 2*b^2*u^4 + 2*u^6 - 2*a*b*u^6 - 2*b^2*u^6 - u^8 + a*b*u^8 + b^2*u^8 - 4*u^10 + 4*a*b*u^10 + 2*b^2*u^10 - 3*u^12 + 3*a*b*u^12 + b^2*u^12 - u^14 + a*b*u^14", "b + b^2 - b^3 + b^5 + 2*b^2*u^4 + 2*b^2*u^6 + 4*u^8 - 4*a*b*u^8 - b^2*u^8 + 8*u^10 - 8*a*b*u^10 - 4*b^2*u^10 + 8*u^12 - 8*a*b*u^12 - 3*b^2*u^12 + 4*u^14 - 4*a*b*u^14 - b^2*u^14 + u^16 - a*b*u^16", "-a - b + a*b^2 - u^3 - 2*u^7 - 2*u^9 - u^11", "-b + b^3 + u + u^3 - u^5 - 4*u^7 - 3*u^9 - u^11" ], "TimingForPrimaryIdeals":0.222069 }, "v":{ "CheckEq":[ "-b + b^3", "-1 + a + a*b + b^2 - a*b^2 - b^3 + a*b^4", "b + b^2 - b^3 + b^5", "-a - b + a*b^2 + v" ], "TimingForPrimaryIdeals":8.9953e-2 }, "PrimaryIdeals":[ { "IdealName":"J11a_31_0", "Generators":[ "b - u + 2*u^2 - 5*u^3 + 7*u^4 - 8*u^5 + u^6 + 16*u^7 - 48*u^8 + 92*u^9 - 126*u^10 + 124*u^11 - 56*u^12 - 148*u^13 + 412*u^14 - 820*u^15 + 1120*u^16 - 1212*u^17 + 917*u^18 + 72*u^19 - 1672*u^20 + 3470*u^21 - 5907*u^22 + 6384*u^23 - 6894*u^24 + 3680*u^25 + 1181*u^26 - 7480*u^27 + 16690*u^28 - 21686*u^29 + 26286*u^30 - 25288*u^31 + 14196*u^32 - 6541*u^33 - 20170*u^34 + 30297*u^35 - 55505*u^36 + 61558*u^37 - 63923*u^38 + 59848*u^39 - 35174*u^40 + 17634*u^41 + 14486*u^42 - 44150*u^43 + 56676*u^44 - 92106*u^45 + 72816*u^46 - 105546*u^47 + 63696*u^48 - 87675*u^49 + 42543*u^50 - 56547*u^51 + 22451*u^52 - 28934*u^53 + 9418*u^54 - 11760*u^55 + 3106*u^56 - 3747*u^57 + 783*u^58 - 909*u^59 + 143*u^60 - 159*u^61 + 17*u^62 - 18*u^63 + u^64 - u^65", "-1 + a + 2*u - u^2 + u^3 + 4*u^4 - 10*u^5 + 12*u^6 - 20*u^7 + 10*u^8 + 16*u^9 - 46*u^10 + 108*u^11 - 128*u^12 + 108*u^13 - 72*u^14 - 184*u^15 + 333*u^16 - 690*u^17 + 845*u^18 - 706*u^19 + 449*u^20 + 566*u^21 - 1652*u^22 + 2760*u^23 - 4123*u^24 + 3562*u^25 - 3187*u^26 + 102*u^27 + 3608*u^28 - 7584*u^29 + 12362*u^30 - 14102*u^31 + 13471*u^32 - 11186*u^33 + 527*u^34 + 4645*u^35 - 20756*u^36 + 25652*u^37 - 34760*u^38 + 35906*u^39 - 29164*u^40 + 23942*u^41 - 6010*u^42 - 6308*u^43 + 20496*u^44 - 37842*u^45 + 36180*u^46 - 54264*u^47 + 36636*u^48 - 51282*u^49 + 27060*u^50 - 36393*u^51 + 15483*u^52 - 20154*u^53 + 6968*u^54 - 8780*u^55 + 2450*u^56 - 2980*u^57 + 656*u^58 - 767*u^59 + 127*u^60 - 142*u^61 + 16*u^62 - 17*u^63 + u^64 - u^65", "1 - 4*u^2 + 11*u^3 - 23*u^4 + 26*u^5 - 13*u^6 - 24*u^7 + 116*u^8 - 224*u^9 + 336*u^10 - 380*u^11 + 192*u^12 + 224*u^13 - 1008*u^14 + 2048*u^15 - 2926*u^16 + 3512*u^17 - 2812*u^18 + 606*u^19 + 3202*u^20 - 8892*u^21 + 14278*u^22 - 18572*u^23 + 19378*u^24 - 13320*u^25 + 2420*u^26 + 17038*u^27 - 38584*u^28 + 58920*u^29 - 75088*u^30 + 73484*u^31 - 60663*u^32 + 25120*u^33 + 25284*u^34 - 78735*u^35 + 141937*u^36 - 176534*u^37 + 204939*u^38 - 191340*u^39 + 152638*u^40 - 92160*u^41 + 480*u^42 + 77182*u^43 - 169576*u^44 + 229568*u^45 - 272880*u^46 + 297528*u^47 - 278451*u^48 + 272400*u^49 - 214068*u^50 + 193733*u^51 - 130321*u^52 + 110382*u^53 - 63783*u^54 + 50768*u^55 - 25051*u^56 + 18740*u^57 - 7778*u^58 + 5455*u^59 - 1852*u^60 + 1212*u^61 - 320*u^62 + 194*u^63 - 36*u^64 + 20*u^65 - 2*u^66 + u^67" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.106, "TimingZeroDimVars":0.405383, "TimingmagmaVCompNormalize":0.406537, "TimingNumberOfSols":0.865667, "TimingIsRadical":0.30261, "TimingArcColoring":0.101787, "TimingObstruction":0.4448, "TimingComplexVolumeN":6.55982e1, "TimingaCuspShapeN":0.695778, "TiminguValues":0.781068, "TiminguPolysN":0.629796, "TiminguPolys":1.719355, "TimingaCuspShape":0.216344, "TimingRepresentationsN":0.901128, "TiminguValues_ij":0.302271, "TiminguPoly_ij":9.238412, "TiminguPolys_ij_N":1.510497 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":67, "IsRadical":true, "ArcColoring":[ [ "-u^3 - 2*u^7 - 2*u^9 - u^11", "u + u^3 - u^5 - 4*u^7 - 3*u^9 - u^11" ], [ "1 - 2*u + u^2 - u^3 - 4*u^4 + 10*u^5 - 12*u^6 + 20*u^7 - 10*u^8 - 16*u^9 + 46*u^10 - 108*u^11 + 128*u^12 - 108*u^13 + 72*u^14 + 184*u^15 - 333*u^16 + 690*u^17 - 845*u^18 + 706*u^19 - 449*u^20 - 566*u^21 + 1652*u^22 - 2760*u^23 + 4123*u^24 - 3562*u^25 + 3187*u^26 - 102*u^27 - 3608*u^28 + 7584*u^29 - 12362*u^30 + 14102*u^31 - 13471*u^32 + 11186*u^33 - 527*u^34 - 4645*u^35 + 20756*u^36 - 25652*u^37 + 34760*u^38 - 35906*u^39 + 29164*u^40 - 23942*u^41 + 6010*u^42 + 6308*u^43 - 20496*u^44 + 37842*u^45 - 36180*u^46 + 54264*u^47 - 36636*u^48 + 51282*u^49 - 27060*u^50 + 36393*u^51 - 15483*u^52 + 20154*u^53 - 6968*u^54 + 8780*u^55 - 2450*u^56 + 2980*u^57 - 656*u^58 + 767*u^59 - 127*u^60 + 142*u^61 - 16*u^62 + 17*u^63 - u^64 + u^65", "u - 2*u^2 + 5*u^3 - 7*u^4 + 8*u^5 - u^6 - 16*u^7 + 48*u^8 - 92*u^9 + 126*u^10 - 124*u^11 + 56*u^12 + 148*u^13 - 412*u^14 + 820*u^15 - 1120*u^16 + 1212*u^17 - 917*u^18 - 72*u^19 + 1672*u^20 - 3470*u^21 + 5907*u^22 - 6384*u^23 + 6894*u^24 - 3680*u^25 - 1181*u^26 + 7480*u^27 - 16690*u^28 + 21686*u^29 - 26286*u^30 + 25288*u^31 - 14196*u^32 + 6541*u^33 + 20170*u^34 - 30297*u^35 + 55505*u^36 - 61558*u^37 + 63923*u^38 - 59848*u^39 + 35174*u^40 - 17634*u^41 - 14486*u^42 + 44150*u^43 - 56676*u^44 + 92106*u^45 - 72816*u^46 + 105546*u^47 - 63696*u^48 + 87675*u^49 - 42543*u^50 + 56547*u^51 - 22451*u^52 + 28934*u^53 - 9418*u^54 + 11760*u^55 - 3106*u^56 + 3747*u^57 - 783*u^58 + 909*u^59 - 143*u^60 + 159*u^61 - 17*u^62 + 18*u^63 - u^64 + u^65" ], [ "1 - u + 2*u^2 - 4*u^3 + 4*u^4 - 2*u^5 - 6*u^6 + 28*u^7 - 46*u^8 + 74*u^9 - 70*u^10 + 34*u^11 + 58*u^12 - 230*u^13 + 450*u^14 - 620*u^15 + 764*u^16 - 502*u^17 + 92*u^18 + 858*u^19 - 2080*u^20 + 3064*u^21 - 4180*u^22 + 3704*u^23 - 2464*u^24 - 158*u^25 + 5256*u^26 - 8210*u^27 + 14580*u^28 - 14398*u^29 + 15108*u^30 - 10082*u^31 - 123*u^32 + 7643*u^33 - 24446*u^34 + 29840*u^35 - 39444*u^36 + 39890*u^37 - 30298*u^38 + 26706*u^39 + 214*u^40 - 4886*u^41 + 33820*u^42 - 37306*u^43 + 52332*u^44 - 54122*u^45 + 50606*u^46 - 51258*u^47 + 36227*u^48 - 36391*u^49 + 20128*u^50 - 20154*u^51 + 8778*u^52 - 8780*u^53 + 2980*u^54 - 2980*u^55 + 767*u^56 - 767*u^57 + 142*u^58 - 142*u^59 + 17*u^60 - 17*u^61 + u^62 - u^63", "u - u^2 + 3*u^3 - 4*u^4 + 6*u^5 - 4*u^6 - 4*u^7 + 28*u^8 - 52*u^9 + 96*u^10 - 94*u^11 + 84*u^12 + 38*u^13 - 216*u^14 + 522*u^15 - 778*u^16 + 1056*u^17 - 830*u^18 + 528*u^19 + 792*u^20 - 2054*u^21 + 3948*u^22 - 5376*u^23 + 5572*u^24 - 4776*u^25 + 1234*u^26 + 4184*u^27 - 9440*u^28 + 18606*u^29 - 18582*u^30 + 25504*u^31 - 14084*u^32 + 10983*u^33 + 8667*u^34 - 23545*u^35 + 38384*u^36 - 55346*u^37 + 53828*u^38 - 55804*u^39 + 41090*u^40 - 15700*u^41 + 5906*u^42 + 44826*u^43 - 31186*u^44 + 92272*u^45 - 51488*u^46 + 105572*u^47 - 50414*u^48 + 87677*u^49 - 36199*u^50 + 56547*u^51 - 20126*u^52 + 28934*u^53 - 8778*u^54 + 11760*u^55 - 2980*u^56 + 3747*u^57 - 767*u^58 + 909*u^59 - 142*u^60 + 159*u^61 - 17*u^62 + 18*u^63 - u^64 + u^65" ], [ "2 - 2*u - u^2 + 4*u^3 - 12*u^4 + 20*u^5 - 14*u^6 + 10*u^7 + 38*u^8 - 105*u^9 + 172*u^10 - 240*u^11 + 182*u^12 + 27*u^13 - 350*u^14 + 996*u^15 - 1464*u^16 + 1892*u^17 - 1766*u^18 + 594*u^19 + 1218*u^20 - 4116*u^21 + 7506*u^22 - 9184*u^23 + 10862*u^24 - 7104*u^25 + 1750*u^26 + 7692*u^27 - 20576*u^28 + 29418*u^29 - 38858*u^30 + 38838*u^31 - 27778*u^32 + 16228*u^33 + 19603*u^34 - 37036*u^35 + 76252*u^36 - 89202*u^37 + 98682*u^38 - 97136*u^39 + 64338*u^40 - 42287*u^41 - 8476*u^42 + 50190*u^43 - 77172*u^44 + 129877*u^45 - 108996*u^46 + 159798*u^47 - 100332*u^48 + 138956*u^49 - 69603*u^50 + 92940*u^51 - 37934*u^52 + 49088*u^53 - 16386*u^54 + 20540*u^55 - 5556*u^56 + 6727*u^57 - 1439*u^58 + 1676*u^59 - 270*u^60 + 301*u^61 - 33*u^62 + 35*u^63 - 2*u^64 + 2*u^65", "-3*u^2 + 5*u^3 - 9*u^4 + 10*u^5 + 2*u^6 - 18*u^7 + 60*u^8 - 109*u^9 + 132*u^10 - 138*u^11 + 24*u^12 + 203*u^13 - 480*u^14 + 969*u^15 - 1146*u^16 + 1290*u^17 - 820*u^18 - 372*u^19 + 1846*u^20 - 4178*u^21 + 5970*u^22 - 6888*u^23 + 6692*u^24 - 3132*u^25 - 1604*u^26 + 9128*u^27 - 17138*u^28 + 23226*u^29 - 26598*u^30 + 25180*u^31 - 14346*u^32 + 4320*u^33 + 20121*u^34 - 33673*u^35 + 55495*u^36 - 64664*u^37 + 63922*u^38 - 61870*u^39 + 35174*u^40 - 18601*u^41 - 14486*u^42 + 43812*u^43 - 56676*u^44 + 92023*u^45 - 72816*u^46 + 105533*u^47 - 63696*u^48 + 87674*u^49 - 42543*u^50 + 56547*u^51 - 22451*u^52 + 28934*u^53 - 9418*u^54 + 11760*u^55 - 3106*u^56 + 3747*u^57 - 783*u^58 + 909*u^59 - 143*u^60 + 159*u^61 - 17*u^62 + 18*u^63 - u^64 + u^65" ], "{1, 0}", [ 1, "-u^2" ], [ "1 - u^4 - u^6", "2*u^4 + 2*u^6 + u^8" ], [ "u^3", "u + u^3" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "-u^3", "u + u^3 + u^5" ] ], "Obstruction":-1, "ComplexVolumeN":[ "4.87488 - 4.14687*I", "4.87488 + 4.14687*I", "0.03256 + 4.08481*I", "0.03256 - 4.08481*I", "3.0211 - 9.72497*I", "3.0211 + 9.72497*I", "-0.281369 + 0.970663*I", "-0.281369 - 0.970663*I", "-1.77198 + 5.50921*I", "-1.77198 - 5.50921*I", "-3.49198 - 1.0278*I", "-3.49198 + 1.0278*I", "-1.16301 - 1.95072*I", "-1.16301 + 1.95072*I", "5.22376 - 0.38517*I", "5.22376 + 0.38517*I", "3.63203 + 5.13427*I", "3.63203 - 5.13427*I", "0.345703 + 0.068999*I", "0.345703 - 0.068999*I", "-0.492874 + 1.27241*I", "-0.492874 - 1.27241*I", "-0.49031 - 10.4835*I", "-0.49031 + 10.4835*I", "-3.90258 - 1.39316*I", "-3.90258 + 1.39316*I", "0.415223 + 0.749566*I", "0.415223 - 0.749566*I", "1.83934 - 4.963*I", "1.83934 + 4.963*I", "-2.81565 + 4.36823*I", "-2.81565 - 4.36823*I", "1.05507 + 6.16799*I", "1.05507 - 6.16799*I", "-3.63648 - 1.86851*I", "-3.63648 + 1.86851*I", "-4.77435 - 3.67797*I", "-4.77435 + 3.67797*I", "-2.23668 - 1.18578*I", "-2.23668 + 1.18578*I", "-6.70689 + 0.47788*I", "-6.70689 - 0.47788*I", "-7.3723 + 2.08523*I", "-7.3723 - 2.08523*I", "-4.3598 - 4.63647*I", "-4.3598 + 4.63647*I", "-4.67059 - 6.53918*I", "-4.67059 + 6.53918*I", "3.53541 - 1.62116*I", "3.53541 + 1.62116*I", "2.50124 + 3.65316*I", "2.50124 - 3.65316*I", "-6.72971 + 6.47733*I", "-6.72971 - 6.47733*I", "-5.86773 - 9.08868*I", "-5.86773 + 9.08868*I", "-1.13304 + 9.79846*I", "-1.13304 - 9.79846*I", "-7.66696 - 5.81189*I", "-7.66696 + 5.81189*I", "-3.5558 + 15.4016*I", "-3.5558 - 15.4016*I", "-7.39058 - 3.26134*I", "-7.39058 + 3.26134*I", "-1.34186 + 0.241306*I", "-1.34186 - 0.241306*I", -1.10322 ], "uPolysN":[ "1 - 6*u + 21*u^2 - 4*u^3 - 121*u^4 + 130*u^5 + 475*u^6 - 836*u^7 - 1368*u^8 + 3784*u^9 + 2332*u^10 - 12696*u^11 - 136*u^12 + 34616*u^13 - 17480*u^14 - 76736*u^15 + 82530*u^16 + 128960*u^17 - 250166*u^18 - 127488*u^19 + 568726*u^20 - 79904*u^21 - 994406*u^22 + 710760*u^23 + 1270082*u^24 - 1889704*u^25 - 884970*u^26 + 3351392*u^27 - 679228*u^28 - 4242836*u^29 + 3369766*u^30 + 3455210*u^31 - 6104953*u^32 - 562726*u^33 + 7167597*u^34 - 3396762*u^35 - 5503921*u^36 + 6332870*u^37 + 1803851*u^38 - 6653784*u^39 + 1874214*u^40 + 4528916*u^41 - 3713034*u^42 - 1597200*u^43 + 3407948*u^44 - 487732*u^45 - 1984606*u^46 + 1170834*u^47 + 655711*u^48 - 918038*u^49 + 29033*u^50 + 439282*u^51 - 180155*u^52 - 123746*u^53 + 116723*u^54 + 6430*u^55 - 42717*u^56 + 11550*u^57 + 8975*u^58 - 5708*u^59 - 540*u^60 + 1358*u^61 - 247*u^62 - 157*u^63 + 69*u^64 + 2*u^65 - 6*u^66 + u^67", "1 - 6*u + 151*u^2 + 2588*u^3 + 22863*u^4 + 145922*u^5 + 749633*u^6 + 3273528*u^7 + 12534540*u^8 + 42926360*u^9 + 133277004*u^10 + 378940920*u^11 + 994540824*u^12 + 2425454400*u^13 + 5528391180*u^14 + 11838441548*u^15 + 23929045906*u^16 + 45850619588*u^17 + 83602491842*u^18 + 145553281924*u^19 + 242682790310*u^20 + 388485696220*u^21 + 598369816166*u^22 + 888415158044*u^23 + 1273443679870*u^24 + 1764481482556*u^25 + 2365858897474*u^26 + 3072359150072*u^27 + 3866951816560*u^28 + 4719689506972*u^29 + 5588270562858*u^30 + 6420563971242*u^31 + 7159072826759*u^32 + 7746930602566*u^33 + 8134658269651*u^34 + 8286649466850*u^35 + 8186274218719*u^36 + 7838642741378*u^37 + 7270439462205*u^38 + 6526755359140*u^39 + 5665402713086*u^40 + 4749664806252*u^41 + 3840707287178*u^42 + 2990897063496*u^43 + 2239038743836*u^44 + 1608108548868*u^45 + 1105546753514*u^46 + 725684464150*u^47 + 453536082963*u^48 + 269050638046*u^49 + 150992712255*u^50 + 79871130474*u^51 + 39664980477*u^52 + 18412867170*u^53 + 7951679593*u^54 + 3177733486*u^55 + 1168169375*u^56 + 392334850*u^57 + 119427661*u^58 + 32636792*u^59 + 7913728*u^60 + 1677622*u^61 + 304933*u^62 + 46271*u^63 + 5637*u^64 + 518*u^65 + 32*u^66 + u^67", "32 + 96*u + 376*u^2 + 712*u^3 + 1596*u^4 + 2459*u^5 + 3587*u^6 + 5352*u^7 + 4810*u^8 + 8538*u^9 + 4476*u^10 + 10550*u^11 + 5524*u^12 + 9378*u^13 + 12064*u^14 + 5464*u^15 + 23370*u^16 + 8044*u^17 + 32882*u^18 + 28304*u^19 + 31416*u^20 + 55714*u^21 + 13288*u^22 + 58986*u^23 - 11032*u^24 + 32142*u^25 - 12364*u^26 + 16280*u^27 + 25470*u^28 + 42864*u^29 + 73476*u^30 + 81844*u^31 + 84848*u^32 + 86394*u^33 + 54586*u^34 + 64398*u^35 + 22688*u^36 + 61241*u^37 + 17821*u^38 + 89250*u^39 + 27530*u^40 + 116202*u^41 + 28316*u^42 + 115938*u^43 + 18602*u^44 + 96322*u^45 + 11690*u^46 + 76926*u^47 + 13086*u^48 + 63464*u^49 + 16614*u^50 + 50332*u^51 + 15894*u^52 + 34553*u^53 + 11057*u^54 + 19336*u^55 + 5704*u^56 + 8574*u^57 + 2198*u^58 + 2950*u^59 + 624*u^60 + 765*u^61 + 125*u^62 + 142*u^63 + 16*u^64 + 17*u^65 + u^66 + u^67", "1 - 6*u + 21*u^2 - 4*u^3 - 121*u^4 + 130*u^5 + 475*u^6 - 836*u^7 - 1368*u^8 + 3784*u^9 + 2332*u^10 - 12696*u^11 - 136*u^12 + 34616*u^13 - 17480*u^14 - 76736*u^15 + 82530*u^16 + 128960*u^17 - 250166*u^18 - 127488*u^19 + 568726*u^20 - 79904*u^21 - 994406*u^22 + 710760*u^23 + 1270082*u^24 - 1889704*u^25 - 884970*u^26 + 3351392*u^27 - 679228*u^28 - 4242836*u^29 + 3369766*u^30 + 3455210*u^31 - 6104953*u^32 - 562726*u^33 + 7167597*u^34 - 3396762*u^35 - 5503921*u^36 + 6332870*u^37 + 1803851*u^38 - 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63783*u^54 + 50768*u^55 - 25051*u^56 + 18740*u^57 - 7778*u^58 + 5455*u^59 - 1852*u^60 + 1212*u^61 - 320*u^62 + 194*u^63 - 36*u^64 + 20*u^65 - 2*u^66 + u^67", "9 + 78*u + 358*u^2 + 2415*u^3 + 15103*u^4 + 51458*u^5 + 75471*u^6 - 36722*u^7 - 291798*u^8 - 281428*u^9 + 324470*u^10 + 646454*u^11 - 235558*u^12 - 583730*u^13 + 540176*u^14 + 55836*u^15 - 1068026*u^16 + 511836*u^17 + 780058*u^18 - 236890*u^19 + 721192*u^20 - 1538332*u^21 - 2096878*u^22 + 3695668*u^23 + 1714268*u^24 - 3799080*u^25 - 69132*u^26 + 1291950*u^27 - 773016*u^28 + 1149616*u^29 + 224464*u^30 - 984218*u^31 + 123325*u^32 - 707398*u^33 + 897156*u^34 + 949441*u^35 - 2293859*u^36 + 905406*u^37 + 2340855*u^38 - 2688684*u^39 - 790382*u^40 + 2594548*u^41 - 995772*u^42 - 1056470*u^43 + 1709316*u^44 - 437344*u^45 - 1276000*u^46 + 1066494*u^47 + 475573*u^48 - 971350*u^49 + 46116*u^50 + 616165*u^51 - 184037*u^52 - 305622*u^53 + 131085*u^54 + 122602*u^55 - 57279*u^56 - 39742*u^57 + 17366*u^58 + 10181*u^59 - 3708*u^60 - 1980*u^61 + 538*u^62 + 274*u^63 - 48*u^64 - 24*u^65 + 2*u^66 + u^67", "32 + 96*u + 376*u^2 + 712*u^3 + 1596*u^4 + 2459*u^5 + 3587*u^6 + 5352*u^7 + 4810*u^8 + 8538*u^9 + 4476*u^10 + 10550*u^11 + 5524*u^12 + 9378*u^13 + 12064*u^14 + 5464*u^15 + 23370*u^16 + 8044*u^17 + 32882*u^18 + 28304*u^19 + 31416*u^20 + 55714*u^21 + 13288*u^22 + 58986*u^23 - 11032*u^24 + 32142*u^25 - 12364*u^26 + 16280*u^27 + 25470*u^28 + 42864*u^29 + 73476*u^30 + 81844*u^31 + 84848*u^32 + 86394*u^33 + 54586*u^34 + 64398*u^35 + 22688*u^36 + 61241*u^37 + 17821*u^38 + 89250*u^39 + 27530*u^40 + 116202*u^41 + 28316*u^42 + 115938*u^43 + 18602*u^44 + 96322*u^45 + 11690*u^46 + 76926*u^47 + 13086*u^48 + 63464*u^49 + 16614*u^50 + 50332*u^51 + 15894*u^52 + 34553*u^53 + 11057*u^54 + 19336*u^55 + 5704*u^56 + 8574*u^57 + 2198*u^58 + 2950*u^59 + 624*u^60 + 765*u^61 + 125*u^62 + 142*u^63 + 16*u^64 + 17*u^65 + u^66 + u^67", "9 + 78*u + 358*u^2 + 2415*u^3 + 15103*u^4 + 51458*u^5 + 75471*u^6 - 36722*u^7 - 291798*u^8 - 281428*u^9 + 324470*u^10 + 646454*u^11 - 235558*u^12 - 583730*u^13 + 540176*u^14 + 55836*u^15 - 1068026*u^16 + 511836*u^17 + 780058*u^18 - 236890*u^19 + 721192*u^20 - 1538332*u^21 - 2096878*u^22 + 3695668*u^23 + 1714268*u^24 - 3799080*u^25 - 69132*u^26 + 1291950*u^27 - 773016*u^28 + 1149616*u^29 + 224464*u^30 - 984218*u^31 + 123325*u^32 - 707398*u^33 + 897156*u^34 + 949441*u^35 - 2293859*u^36 + 905406*u^37 + 2340855*u^38 - 2688684*u^39 - 790382*u^40 + 2594548*u^41 - 995772*u^42 - 1056470*u^43 + 1709316*u^44 - 437344*u^45 - 1276000*u^46 + 1066494*u^47 + 475573*u^48 - 971350*u^49 + 46116*u^50 + 616165*u^51 - 184037*u^52 - 305622*u^53 + 131085*u^54 + 122602*u^55 - 57279*u^56 - 39742*u^57 + 17366*u^58 + 10181*u^59 - 3708*u^60 - 1980*u^61 + 538*u^62 + 274*u^63 - 48*u^64 - 24*u^65 + 2*u^66 + u^67", "1 - 4*u^2 + 11*u^3 - 23*u^4 + 26*u^5 - 13*u^6 - 24*u^7 + 116*u^8 - 224*u^9 + 336*u^10 - 380*u^11 + 192*u^12 + 224*u^13 - 1008*u^14 + 2048*u^15 - 2926*u^16 + 3512*u^17 - 2812*u^18 + 606*u^19 + 3202*u^20 - 8892*u^21 + 14278*u^22 - 18572*u^23 + 19378*u^24 - 13320*u^25 + 2420*u^26 + 17038*u^27 - 38584*u^28 + 58920*u^29 - 75088*u^30 + 73484*u^31 - 60663*u^32 + 25120*u^33 + 25284*u^34 - 78735*u^35 + 141937*u^36 - 176534*u^37 + 204939*u^38 - 191340*u^39 + 152638*u^40 - 92160*u^41 + 480*u^42 + 77182*u^43 - 169576*u^44 + 229568*u^45 - 272880*u^46 + 297528*u^47 - 278451*u^48 + 272400*u^49 - 214068*u^50 + 193733*u^51 - 130321*u^52 + 110382*u^53 - 63783*u^54 + 50768*u^55 - 25051*u^56 + 18740*u^57 - 7778*u^58 + 5455*u^59 - 1852*u^60 + 1212*u^61 - 320*u^62 + 194*u^63 - 36*u^64 + 20*u^65 - 2*u^66 + u^67", "-1 + 8*u + 30*u^2 - 37*u^3 - 293*u^4 - 194*u^5 + 1295*u^6 + 2592*u^7 - 2180*u^8 - 11992*u^9 - 3896*u^10 + 38164*u^11 + 48560*u^12 - 83784*u^13 - 241608*u^14 + 37792*u^15 + 814522*u^16 + 717544*u^17 - 1774604*u^18 - 4066666*u^19 + 1159086*u^20 + 14464156*u^21 + 15299406*u^22 - 23454336*u^23 - 80582714*u^24 - 56190776*u^25 + 132484016*u^26 + 358246670*u^27 + 250768336*u^28 - 432256496*u^29 - 1253325528*u^30 - 1104053928*u^31 + 746860891*u^32 + 3304068704*u^33 + 3888683558*u^34 + 402538457*u^35 - 5826183245*u^36 - 9778330802*u^37 - 6451953057*u^38 + 4102238176*u^39 + 15263169830*u^40 + 18140384384*u^41 + 8643774952*u^42 - 8659108122*u^43 - 23320263524*u^44 - 26180230112*u^45 - 15234080244*u^46 + 3892361760*u^47 + 22319680643*u^48 + 33280832432*u^49 + 34897418082*u^50 + 29508841225*u^51 + 21123711729*u^52 + 13093014234*u^53 + 7108037913*u^54 + 3398838244*u^55 + 1434099063*u^56 + 533414180*u^57 + 174290676*u^58 + 49727503*u^59 + 12278896*u^60 + 2591120*u^61 + 459080*u^62 + 66578*u^63 + 7608*u^64 + 644*u^65 + 36*u^66 + u^67", "53 + 2798*u + 12678*u^2 + 32455*u^3 + 62017*u^4 + 108892*u^5 + 155913*u^6 + 269040*u^7 + 334720*u^8 + 658036*u^9 + 544868*u^10 + 1241892*u^11 + 720480*u^12 + 1847104*u^13 + 920448*u^14 + 2696176*u^15 + 1322812*u^16 + 3440254*u^17 + 2460394*u^18 + 3264682*u^19 + 4460312*u^20 + 3930030*u^21 + 3378426*u^22 + 11101768*u^23 - 8407552*u^24 + 31009670*u^25 - 35457966*u^26 + 64288458*u^27 - 72888660*u^28 + 99797140*u^29 - 106074496*u^30 + 123560448*u^31 - 122010935*u^32 + 126208236*u^33 - 116427946*u^34 + 109855653*u^35 - 94830479*u^36 + 82384966*u^37 - 66888087*u^38 + 54247420*u^39 - 41599822*u^40 + 31555612*u^41 - 22897172*u^42 + 16363070*u^43 - 11206972*u^44 + 7453504*u^45 - 4759156*u^46 + 2932986*u^47 - 1717311*u^48 + 948354*u^49 - 496504*u^50 + 248963*u^51 - 119941*u^52 + 57346*u^53 - 30593*u^54 + 20070*u^55 - 14475*u^56 + 10370*u^57 - 7158*u^58 + 4691*u^59 - 2788*u^60 + 1464*u^61 - 688*u^62 + 296*u^63 - 114*u^64 + 36*u^65 - 8*u^66 + u^67" ], "uPolys":[ "1 - 6*u + 21*u^2 - 4*u^3 - 121*u^4 + 130*u^5 + 475*u^6 - 836*u^7 - 1368*u^8 + 3784*u^9 + 2332*u^10 - 12696*u^11 - 136*u^12 + 34616*u^13 - 17480*u^14 - 76736*u^15 + 82530*u^16 + 128960*u^17 - 250166*u^18 - 127488*u^19 + 568726*u^20 - 79904*u^21 - 994406*u^22 + 710760*u^23 + 1270082*u^24 - 1889704*u^25 - 884970*u^26 + 3351392*u^27 - 679228*u^28 - 4242836*u^29 + 3369766*u^30 + 3455210*u^31 - 6104953*u^32 - 562726*u^33 + 7167597*u^34 - 3396762*u^35 - 5503921*u^36 + 6332870*u^37 + 1803851*u^38 - 6653784*u^39 + 1874214*u^40 + 4528916*u^41 - 3713034*u^42 - 1597200*u^43 + 3407948*u^44 - 487732*u^45 - 1984606*u^46 + 1170834*u^47 + 655711*u^48 - 918038*u^49 + 29033*u^50 + 439282*u^51 - 180155*u^52 - 123746*u^53 + 116723*u^54 + 6430*u^55 - 42717*u^56 + 11550*u^57 + 8975*u^58 - 5708*u^59 - 540*u^60 + 1358*u^61 - 247*u^62 - 157*u^63 + 69*u^64 + 2*u^65 - 6*u^66 + u^67", "1 - 6*u + 151*u^2 + 2588*u^3 + 22863*u^4 + 145922*u^5 + 749633*u^6 + 3273528*u^7 + 12534540*u^8 + 42926360*u^9 + 133277004*u^10 + 378940920*u^11 + 994540824*u^12 + 2425454400*u^13 + 5528391180*u^14 + 11838441548*u^15 + 23929045906*u^16 + 45850619588*u^17 + 83602491842*u^18 + 145553281924*u^19 + 242682790310*u^20 + 388485696220*u^21 + 598369816166*u^22 + 888415158044*u^23 + 1273443679870*u^24 + 1764481482556*u^25 + 2365858897474*u^26 + 3072359150072*u^27 + 3866951816560*u^28 + 4719689506972*u^29 + 5588270562858*u^30 + 6420563971242*u^31 + 7159072826759*u^32 + 7746930602566*u^33 + 8134658269651*u^34 + 8286649466850*u^35 + 8186274218719*u^36 + 7838642741378*u^37 + 7270439462205*u^38 + 6526755359140*u^39 + 5665402713086*u^40 + 4749664806252*u^41 + 3840707287178*u^42 + 2990897063496*u^43 + 2239038743836*u^44 + 1608108548868*u^45 + 1105546753514*u^46 + 725684464150*u^47 + 453536082963*u^48 + 269050638046*u^49 + 150992712255*u^50 + 79871130474*u^51 + 39664980477*u^52 + 18412867170*u^53 + 7951679593*u^54 + 3177733486*u^55 + 1168169375*u^56 + 392334850*u^57 + 119427661*u^58 + 32636792*u^59 + 7913728*u^60 + 1677622*u^61 + 304933*u^62 + 46271*u^63 + 5637*u^64 + 518*u^65 + 32*u^66 + u^67", "32 + 96*u + 376*u^2 + 712*u^3 + 1596*u^4 + 2459*u^5 + 3587*u^6 + 5352*u^7 + 4810*u^8 + 8538*u^9 + 4476*u^10 + 10550*u^11 + 5524*u^12 + 9378*u^13 + 12064*u^14 + 5464*u^15 + 23370*u^16 + 8044*u^17 + 32882*u^18 + 28304*u^19 + 31416*u^20 + 55714*u^21 + 13288*u^22 + 58986*u^23 - 11032*u^24 + 32142*u^25 - 12364*u^26 + 16280*u^27 + 25470*u^28 + 42864*u^29 + 73476*u^30 + 81844*u^31 + 84848*u^32 + 86394*u^33 + 54586*u^34 + 64398*u^35 + 22688*u^36 + 61241*u^37 + 17821*u^38 + 89250*u^39 + 27530*u^40 + 116202*u^41 + 28316*u^42 + 115938*u^43 + 18602*u^44 + 96322*u^45 + 11690*u^46 + 76926*u^47 + 13086*u^48 + 63464*u^49 + 16614*u^50 + 50332*u^51 + 15894*u^52 + 34553*u^53 + 11057*u^54 + 19336*u^55 + 5704*u^56 + 8574*u^57 + 2198*u^58 + 2950*u^59 + 624*u^60 + 765*u^61 + 125*u^62 + 142*u^63 + 16*u^64 + 17*u^65 + u^66 + u^67", "1 - 6*u + 21*u^2 - 4*u^3 - 121*u^4 + 130*u^5 + 475*u^6 - 836*u^7 - 1368*u^8 + 3784*u^9 + 2332*u^10 - 12696*u^11 - 136*u^12 + 34616*u^13 - 17480*u^14 - 76736*u^15 + 82530*u^16 + 128960*u^17 - 250166*u^18 - 127488*u^19 + 568726*u^20 - 79904*u^21 - 994406*u^22 + 710760*u^23 + 1270082*u^24 - 1889704*u^25 - 884970*u^26 + 3351392*u^27 - 679228*u^28 - 4242836*u^29 + 3369766*u^30 + 3455210*u^31 - 6104953*u^32 - 562726*u^33 + 7167597*u^34 - 3396762*u^35 - 5503921*u^36 + 6332870*u^37 + 1803851*u^38 - 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u^2 + u^3", -1 ], [ "-1 + u - u^2 + u^3", -1 ], [ "-1 + u - u^2 + u^3", -1 ], "{1, 0}", [ 1, "-u^2" ], [ "u^3", "u + u^3" ], [ "u^3", "u + u^3" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "-u^3", "1 + u^2 - u^3 + u^4" ] ], "Obstruction":1, "ComplexVolumeN":[ "-1.97403 - 1.53058*I", "-1.97403 + 1.53058*I", -4.04602, "-7.5175 + 4.40083*I", "-7.5175 - 4.40083*I" ], "uPolysN":[ "-1 + 5*u - 10*u^2 + 10*u^3 - 5*u^4 + u^5", "1 + 5*u + 10*u^2 + 10*u^3 + 5*u^4 + u^5", "u^5", "1 + 5*u + 10*u^2 + 10*u^3 + 5*u^4 + u^5", "-1 + u - u^2 + 2*u^3 - u^4 + u^5", "-1 + u - u^2 - 2*u^3 + u^4 + u^5", "u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5", "1 + u + u^2 + 2*u^3 + u^4 + u^5", "-1 - u + u^2 + 4*u^3 + 3*u^4 + u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5" ], "uPolys":[ "(-1 + u)^5", "(1 + u)^5", "u^5", "(1 + u)^5", "-1 + u - u^2 + 2*u^3 - u^4 + u^5", "-1 + u - u^2 - 2*u^3 + u^4 + u^5", "u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5", "1 + u + u^2 + 2*u^3 + u^4 + u^5", "-1 - u + u^2 + 4*u^3 + 3*u^4 + u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5" ], "aCuspShape":"-12 + 2*u + u^3 + 2*u^4", "RepresentationsN":[ [ "u->-0.33911 + 0.822375 I", "a->-1.12878 + 1.10766 I", "b->-1." ], [ "u->-0.33911 - 0.822375 I", "a->-1.12878 - 1.10766 I", "b->-1." ], [ "u->0.766826", "a->-1.37029", "b->-1." ], [ "u->0.455697 + 1.20015 I", "a->-2.18608 - 0.87465 I", "b->-1." ], [ "u->0.455697 - 1.20015 I", "a->-2.18608 + 0.87465 I", "b->-1." ] ], "Epsilon":1.7227, "uPolys_ij":[ "(1 + u)^5", "u^5", "(-1 + u)^5", "1 + u + u^2 + 2*u^3 + u^4 + u^5", "-1 + u - u^2 + 2*u^3 - u^4 + u^5", "1 - u - u^2 + 4*u^3 - 3*u^4 + u^5", "-1 - u + u^2 + 4*u^3 + 3*u^4 + u^5", "-1 + 3*u - 3*u^2 + 8*u^3 - u^4 + u^5", "32 + 16*u + 8*u^2 - 8*u^3 - 2*u^4 + u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5", "-1 + u - u^2 - 2*u^3 + u^4 + u^5", "-1 - 8*u - 16*u^2 + u^3 + 4*u^4 + u^5", "17 + 54*u + 67*u^2 + 38*u^3 + 10*u^4 + u^5", "1 - u + 3*u^2 + 8*u^3 + 5*u^4 + u^5", "-1 - u - 3*u^2 + 8*u^3 - 5*u^4 + u^5", "19 + 28*u + 21*u^2 + 12*u^3 + 2*u^4 + u^5", "1 + 5*u + 6*u^2 + 3*u^3 + u^4 + u^5" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + 5*u + 10*u^2 + 10*u^3 + 5*u^4 + u^5", "u^5", "-1 + 5*u - 10*u^2 + 10*u^3 - 5*u^4 + u^5", "1 + u + u^2 + 2*u^3 + u^4 + u^5", "-1 + u - u^2 + 2*u^3 - u^4 + u^5", "1 - u - u^2 + 4*u^3 - 3*u^4 + u^5", "-1 - u + u^2 + 4*u^3 + 3*u^4 + u^5", "-1 + 3*u - 3*u^2 + 8*u^3 - u^4 + u^5", "32 + 16*u + 8*u^2 - 8*u^3 - 2*u^4 + u^5", "1 + u + u^2 - 2*u^3 - u^4 + u^5", "-1 + u - u^2 - 2*u^3 + u^4 + u^5", "-1 - 8*u - 16*u^2 + u^3 + 4*u^4 + u^5", "17 + 54*u + 67*u^2 + 38*u^3 + 10*u^4 + u^5", "1 - u + 3*u^2 + 8*u^3 + 5*u^4 + u^5", "-1 - u - 3*u^2 + 8*u^3 - 5*u^4 + u^5", "19 + 28*u + 21*u^2 + 12*u^3 + 2*u^4 + u^5", "1 + 5*u + 6*u^2 + 3*u^3 + u^4 + u^5" ], "Multiplicity":1, "ij_list":[ [ "{3, 11}", "{4, 11}" ], [ "{1, 5}", "{3, 4}", "{3, 7}", "{3, 8}", "{4, 7}", "{4, 8}", "{7, 8}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{2, 3}", "{2, 4}", "{2, 5}", "{3, 5}", "{4, 5}" ], [ "{1, 10}" ], [ "{5, 10}", "{6, 9}", "{6, 10}" ], [ "{5, 6}", "{9, 10}", "{9, 11}" ], [ "{1, 6}" ], [ "{7, 10}", "{8, 10}", "{10, 11}" ], [ "{2, 9}" ], [ "{1, 7}", "{1, 8}", "{1, 9}", "{2, 7}", "{2, 8}", "{3, 9}", "{4, 9}" ], [ "{3, 6}", "{4, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{6, 11}", "{7, 11}", "{8, 11}" ], [ "{2, 6}" ], [ "{2, 11}" ], [ "{1, 11}" ], [ "{5, 11}", "{6, 7}", "{6, 8}", "{7, 9}", "{8, 9}" ], [ "{2, 10}" ], [ "{3, 10}", "{4, 10}" ] ], "SortedReprnIndices":"{4, 5, 2, 1, 3}", "aCuspShapeN":[ "-12.0212398151260167399`5.1404034224204675 + 2.6245625163085580039`4.47951108331218*I", "-12.0212398151260167399`5.1404034224204675 - 2.6245625163085580039`4.47951108331218*I", -9.3239, "-12.3168107550394694878`5.129009649404199 - 3.9740722739884489772`4.637747141853673*I", "-12.3168107550394694878`5.129009649404199 + 3.9740722739884489772`4.637747141853673*I" ], "Abelian":false }, { "IdealName":"abJ11a_31_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":9.726599999999999e-2, "TimingZeroDimVars":7.8133e-2, "TimingmagmaVCompNormalize":7.9264e-2, "TimingNumberOfSols":3.254e-2, "TimingIsRadical":2.095e-3, "TimingArcColoring":8.412800000000001e-2, "TimingObstruction":4.38e-4, "TimingComplexVolumeN":0.36965, "TimingaCuspShapeN":4.517e-3, "TiminguValues":0.693974, "TiminguPolysN":8.300000000000001e-5, "TiminguPolys":0.884964, "TimingaCuspShape":9.4095e-2, "TimingRepresentationsN":3.1853e-2, "TiminguValues_ij":0.207022, "TiminguPoly_ij":0.198141, "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}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "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}", "{1, 11}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{2, 11}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{3, 11}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{4, 11}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{5, 11}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{6, 11}", "{7, 8}", "{7, 9}", "{7, 10}", "{7, 11}", "{8, 9}", "{8, 10}", "{8, 11}", "{9, 10}", "{9, 11}", "{10, 11}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(-1 + u)^5*(1 - 6*u + 21*u^2 - 4*u^3 - 121*u^4 + 130*u^5 + 475*u^6 - 836*u^7 - 1368*u^8 + 3784*u^9 + 2332*u^10 - 12696*u^11 - 136*u^12 + 34616*u^13 - 17480*u^14 - 76736*u^15 + 82530*u^16 + 128960*u^17 - 250166*u^18 - 127488*u^19 + 568726*u^20 - 79904*u^21 - 994406*u^22 + 710760*u^23 + 1270082*u^24 - 1889704*u^25 - 884970*u^26 + 3351392*u^27 - 679228*u^28 - 4242836*u^29 + 3369766*u^30 + 3455210*u^31 - 6104953*u^32 - 562726*u^33 + 7167597*u^34 - 3396762*u^35 - 5503921*u^36 + 6332870*u^37 + 1803851*u^38 - 6653784*u^39 + 1874214*u^40 + 4528916*u^41 - 3713034*u^42 - 1597200*u^43 + 3407948*u^44 - 487732*u^45 - 1984606*u^46 + 1170834*u^47 + 655711*u^48 - 918038*u^49 + 29033*u^50 + 439282*u^51 - 180155*u^52 - 123746*u^53 + 116723*u^54 + 6430*u^55 - 42717*u^56 + 11550*u^57 + 8975*u^58 - 5708*u^59 - 540*u^60 + 1358*u^61 - 247*u^62 - 157*u^63 + 69*u^64 + 2*u^65 - 6*u^66 + u^67)", "(1 + u)^5*(1 - 6*u + 151*u^2 + 2588*u^3 + 22863*u^4 + 145922*u^5 + 749633*u^6 + 3273528*u^7 + 12534540*u^8 + 42926360*u^9 + 133277004*u^10 + 378940920*u^11 + 994540824*u^12 + 2425454400*u^13 + 5528391180*u^14 + 11838441548*u^15 + 23929045906*u^16 + 45850619588*u^17 + 83602491842*u^18 + 145553281924*u^19 + 242682790310*u^20 + 388485696220*u^21 + 598369816166*u^22 + 888415158044*u^23 + 1273443679870*u^24 + 1764481482556*u^25 + 2365858897474*u^26 + 3072359150072*u^27 + 3866951816560*u^28 + 4719689506972*u^29 + 5588270562858*u^30 + 6420563971242*u^31 + 7159072826759*u^32 + 7746930602566*u^33 + 8134658269651*u^34 + 8286649466850*u^35 + 8186274218719*u^36 + 7838642741378*u^37 + 7270439462205*u^38 + 6526755359140*u^39 + 5665402713086*u^40 + 4749664806252*u^41 + 3840707287178*u^42 + 2990897063496*u^43 + 2239038743836*u^44 + 1608108548868*u^45 + 1105546753514*u^46 + 725684464150*u^47 + 453536082963*u^48 + 269050638046*u^49 + 150992712255*u^50 + 79871130474*u^51 + 39664980477*u^52 + 18412867170*u^53 + 7951679593*u^54 + 3177733486*u^55 + 1168169375*u^56 + 392334850*u^57 + 119427661*u^58 + 32636792*u^59 + 7913728*u^60 + 1677622*u^61 + 304933*u^62 + 46271*u^63 + 5637*u^64 + 518*u^65 + 32*u^66 + u^67)", "u^5*(32 + 96*u + 376*u^2 + 712*u^3 + 1596*u^4 + 2459*u^5 + 3587*u^6 + 5352*u^7 + 4810*u^8 + 8538*u^9 + 4476*u^10 + 10550*u^11 + 5524*u^12 + 9378*u^13 + 12064*u^14 + 5464*u^15 + 23370*u^16 + 8044*u^17 + 32882*u^18 + 28304*u^19 + 31416*u^20 + 55714*u^21 + 13288*u^22 + 58986*u^23 - 11032*u^24 + 32142*u^25 - 12364*u^26 + 16280*u^27 + 25470*u^28 + 42864*u^29 + 73476*u^30 + 81844*u^31 + 84848*u^32 + 86394*u^33 + 54586*u^34 + 64398*u^35 + 22688*u^36 + 61241*u^37 + 17821*u^38 + 89250*u^39 + 27530*u^40 + 116202*u^41 + 28316*u^42 + 115938*u^43 + 18602*u^44 + 96322*u^45 + 11690*u^46 + 76926*u^47 + 13086*u^48 + 63464*u^49 + 16614*u^50 + 50332*u^51 + 15894*u^52 + 34553*u^53 + 11057*u^54 + 19336*u^55 + 5704*u^56 + 8574*u^57 + 2198*u^58 + 2950*u^59 + 624*u^60 + 765*u^61 + 125*u^62 + 142*u^63 + 16*u^64 + 17*u^65 + u^66 + u^67)", "(1 + u)^5*(1 - 6*u + 21*u^2 - 4*u^3 - 121*u^4 + 130*u^5 + 475*u^6 - 836*u^7 - 1368*u^8 + 3784*u^9 + 2332*u^10 - 12696*u^11 - 136*u^12 + 34616*u^13 - 17480*u^14 - 76736*u^15 + 82530*u^16 + 128960*u^17 - 250166*u^18 - 127488*u^19 + 568726*u^20 - 79904*u^21 - 994406*u^22 + 710760*u^23 + 1270082*u^24 - 1889704*u^25 - 884970*u^26 + 3351392*u^27 - 679228*u^28 - 4242836*u^29 + 3369766*u^30 + 3455210*u^31 - 6104953*u^32 - 562726*u^33 + 7167597*u^34 - 3396762*u^35 - 5503921*u^36 + 6332870*u^37 + 1803851*u^38 - 6653784*u^39 + 1874214*u^40 + 4528916*u^41 - 3713034*u^42 - 1597200*u^43 + 3407948*u^44 - 487732*u^45 - 1984606*u^46 + 1170834*u^47 + 655711*u^48 - 918038*u^49 + 29033*u^50 + 439282*u^51 - 180155*u^52 - 123746*u^53 + 116723*u^54 + 6430*u^55 - 42717*u^56 + 11550*u^57 + 8975*u^58 - 5708*u^59 - 540*u^60 + 1358*u^61 - 247*u^62 - 157*u^63 + 69*u^64 + 2*u^65 - 6*u^66 + u^67)", "(-1 + u - u^2 + 2*u^3 - u^4 + u^5)*(1 - 4*u^2 + 11*u^3 - 23*u^4 + 26*u^5 - 13*u^6 - 24*u^7 + 116*u^8 - 224*u^9 + 336*u^10 - 380*u^11 + 192*u^12 + 224*u^13 - 1008*u^14 + 2048*u^15 - 2926*u^16 + 3512*u^17 - 2812*u^18 + 606*u^19 + 3202*u^20 - 8892*u^21 + 14278*u^22 - 18572*u^23 + 19378*u^24 - 13320*u^25 + 2420*u^26 + 17038*u^27 - 38584*u^28 + 58920*u^29 - 75088*u^30 + 73484*u^31 - 60663*u^32 + 25120*u^33 + 25284*u^34 - 78735*u^35 + 141937*u^36 - 176534*u^37 + 204939*u^38 - 191340*u^39 + 152638*u^40 - 92160*u^41 + 480*u^42 + 77182*u^43 - 169576*u^44 + 229568*u^45 - 272880*u^46 + 297528*u^47 - 278451*u^48 + 272400*u^49 - 214068*u^50 + 193733*u^51 - 130321*u^52 + 110382*u^53 - 63783*u^54 + 50768*u^55 - 25051*u^56 + 18740*u^57 - 7778*u^58 + 5455*u^59 - 1852*u^60 + 1212*u^61 - 320*u^62 + 194*u^63 - 36*u^64 + 20*u^65 - 2*u^66 + u^67)", "(-1 + u - u^2 - 2*u^3 + u^4 + u^5)*(9 + 78*u + 358*u^2 + 2415*u^3 + 15103*u^4 + 51458*u^5 + 75471*u^6 - 36722*u^7 - 291798*u^8 - 281428*u^9 + 324470*u^10 + 646454*u^11 - 235558*u^12 - 583730*u^13 + 540176*u^14 + 55836*u^15 - 1068026*u^16 + 511836*u^17 + 780058*u^18 - 236890*u^19 + 721192*u^20 - 1538332*u^21 - 2096878*u^22 + 3695668*u^23 + 1714268*u^24 - 3799080*u^25 - 69132*u^26 + 1291950*u^27 - 773016*u^28 + 1149616*u^29 + 224464*u^30 - 984218*u^31 + 123325*u^32 - 707398*u^33 + 897156*u^34 + 949441*u^35 - 2293859*u^36 + 905406*u^37 + 2340855*u^38 - 2688684*u^39 - 790382*u^40 + 2594548*u^41 - 995772*u^42 - 1056470*u^43 + 1709316*u^44 - 437344*u^45 - 1276000*u^46 + 1066494*u^47 + 475573*u^48 - 971350*u^49 + 46116*u^50 + 616165*u^51 - 184037*u^52 - 305622*u^53 + 131085*u^54 + 122602*u^55 - 57279*u^56 - 39742*u^57 + 17366*u^58 + 10181*u^59 - 3708*u^60 - 1980*u^61 + 538*u^62 + 274*u^63 - 48*u^64 - 24*u^65 + 2*u^66 + u^67)", "u^5*(32 + 96*u + 376*u^2 + 712*u^3 + 1596*u^4 + 2459*u^5 + 3587*u^6 + 5352*u^7 + 4810*u^8 + 8538*u^9 + 4476*u^10 + 10550*u^11 + 5524*u^12 + 9378*u^13 + 12064*u^14 + 5464*u^15 + 23370*u^16 + 8044*u^17 + 32882*u^18 + 28304*u^19 + 31416*u^20 + 55714*u^21 + 13288*u^22 + 58986*u^23 - 11032*u^24 + 32142*u^25 - 12364*u^26 + 16280*u^27 + 25470*u^28 + 42864*u^29 + 73476*u^30 + 81844*u^31 + 84848*u^32 + 86394*u^33 + 54586*u^34 + 64398*u^35 + 22688*u^36 + 61241*u^37 + 17821*u^38 + 89250*u^39 + 27530*u^40 + 116202*u^41 + 28316*u^42 + 115938*u^43 + 18602*u^44 + 96322*u^45 + 11690*u^46 + 76926*u^47 + 13086*u^48 + 63464*u^49 + 16614*u^50 + 50332*u^51 + 15894*u^52 + 34553*u^53 + 11057*u^54 + 19336*u^55 + 5704*u^56 + 8574*u^57 + 2198*u^58 + 2950*u^59 + 624*u^60 + 765*u^61 + 125*u^62 + 142*u^63 + 16*u^64 + 17*u^65 + u^66 + u^67)", "(1 + u + u^2 - 2*u^3 - u^4 + u^5)*(9 + 78*u + 358*u^2 + 2415*u^3 + 15103*u^4 + 51458*u^5 + 75471*u^6 - 36722*u^7 - 291798*u^8 - 281428*u^9 + 324470*u^10 + 646454*u^11 - 235558*u^12 - 583730*u^13 + 540176*u^14 + 55836*u^15 - 1068026*u^16 + 511836*u^17 + 780058*u^18 - 236890*u^19 + 721192*u^20 - 1538332*u^21 - 2096878*u^22 + 3695668*u^23 + 1714268*u^24 - 3799080*u^25 - 69132*u^26 + 1291950*u^27 - 773016*u^28 + 1149616*u^29 + 224464*u^30 - 984218*u^31 + 123325*u^32 - 707398*u^33 + 897156*u^34 + 949441*u^35 - 2293859*u^36 + 905406*u^37 + 2340855*u^38 - 2688684*u^39 - 790382*u^40 + 2594548*u^41 - 995772*u^42 - 1056470*u^43 + 1709316*u^44 - 437344*u^45 - 1276000*u^46 + 1066494*u^47 + 475573*u^48 - 971350*u^49 + 46116*u^50 + 616165*u^51 - 184037*u^52 - 305622*u^53 + 131085*u^54 + 122602*u^55 - 57279*u^56 - 39742*u^57 + 17366*u^58 + 10181*u^59 - 3708*u^60 - 1980*u^61 + 538*u^62 + 274*u^63 - 48*u^64 - 24*u^65 + 2*u^66 + u^67)", "(1 + u + u^2 + 2*u^3 + u^4 + u^5)*(1 - 4*u^2 + 11*u^3 - 23*u^4 + 26*u^5 - 13*u^6 - 24*u^7 + 116*u^8 - 224*u^9 + 336*u^10 - 380*u^11 + 192*u^12 + 224*u^13 - 1008*u^14 + 2048*u^15 - 2926*u^16 + 3512*u^17 - 2812*u^18 + 606*u^19 + 3202*u^20 - 8892*u^21 + 14278*u^22 - 18572*u^23 + 19378*u^24 - 13320*u^25 + 2420*u^26 + 17038*u^27 - 38584*u^28 + 58920*u^29 - 75088*u^30 + 73484*u^31 - 60663*u^32 + 25120*u^33 + 25284*u^34 - 78735*u^35 + 141937*u^36 - 176534*u^37 + 204939*u^38 - 191340*u^39 + 152638*u^40 - 92160*u^41 + 480*u^42 + 77182*u^43 - 169576*u^44 + 229568*u^45 - 272880*u^46 + 297528*u^47 - 278451*u^48 + 272400*u^49 - 214068*u^50 + 193733*u^51 - 130321*u^52 + 110382*u^53 - 63783*u^54 + 50768*u^55 - 25051*u^56 + 18740*u^57 - 7778*u^58 + 5455*u^59 - 1852*u^60 + 1212*u^61 - 320*u^62 + 194*u^63 - 36*u^64 + 20*u^65 - 2*u^66 + u^67)", "(-1 - u + u^2 + 4*u^3 + 3*u^4 + u^5)*(-1 + 8*u + 30*u^2 - 37*u^3 - 293*u^4 - 194*u^5 + 1295*u^6 + 2592*u^7 - 2180*u^8 - 11992*u^9 - 3896*u^10 + 38164*u^11 + 48560*u^12 - 83784*u^13 - 241608*u^14 + 37792*u^15 + 814522*u^16 + 717544*u^17 - 1774604*u^18 - 4066666*u^19 + 1159086*u^20 + 14464156*u^21 + 15299406*u^22 - 23454336*u^23 - 80582714*u^24 - 56190776*u^25 + 132484016*u^26 + 358246670*u^27 + 250768336*u^28 - 432256496*u^29 - 1253325528*u^30 - 1104053928*u^31 + 746860891*u^32 + 3304068704*u^33 + 3888683558*u^34 + 402538457*u^35 - 5826183245*u^36 - 9778330802*u^37 - 6451953057*u^38 + 4102238176*u^39 + 15263169830*u^40 + 18140384384*u^41 + 8643774952*u^42 - 8659108122*u^43 - 23320263524*u^44 - 26180230112*u^45 - 15234080244*u^46 + 3892361760*u^47 + 22319680643*u^48 + 33280832432*u^49 + 34897418082*u^50 + 29508841225*u^51 + 21123711729*u^52 + 13093014234*u^53 + 7108037913*u^54 + 3398838244*u^55 + 1434099063*u^56 + 533414180*u^57 + 174290676*u^58 + 49727503*u^59 + 12278896*u^60 + 2591120*u^61 + 459080*u^62 + 66578*u^63 + 7608*u^64 + 644*u^65 + 36*u^66 + u^67)", "(1 + u + u^2 - 2*u^3 - u^4 + u^5)*(53 + 2798*u + 12678*u^2 + 32455*u^3 + 62017*u^4 + 108892*u^5 + 155913*u^6 + 269040*u^7 + 334720*u^8 + 658036*u^9 + 544868*u^10 + 1241892*u^11 + 720480*u^12 + 1847104*u^13 + 920448*u^14 + 2696176*u^15 + 1322812*u^16 + 3440254*u^17 + 2460394*u^18 + 3264682*u^19 + 4460312*u^20 + 3930030*u^21 + 3378426*u^22 + 11101768*u^23 - 8407552*u^24 + 31009670*u^25 - 35457966*u^26 + 64288458*u^27 - 72888660*u^28 + 99797140*u^29 - 106074496*u^30 + 123560448*u^31 - 122010935*u^32 + 126208236*u^33 - 116427946*u^34 + 109855653*u^35 - 94830479*u^36 + 82384966*u^37 - 66888087*u^38 + 54247420*u^39 - 41599822*u^40 + 31555612*u^41 - 22897172*u^42 + 16363070*u^43 - 11206972*u^44 + 7453504*u^45 - 4759156*u^46 + 2932986*u^47 - 1717311*u^48 + 948354*u^49 - 496504*u^50 + 248963*u^51 - 119941*u^52 + 57346*u^53 - 30593*u^54 + 20070*u^55 - 14475*u^56 + 10370*u^57 - 7158*u^58 + 4691*u^59 - 2788*u^60 + 1464*u^61 - 688*u^62 + 296*u^63 - 114*u^64 + 36*u^65 - 8*u^66 + u^67)" ], "RileyPolyC":[ "(-1 + y)^5*(-1 - 6*y - 151*y^2 + 2588*y^3 - 22863*y^4 + 145922*y^5 - 749633*y^6 + 3273528*y^7 - 12534540*y^8 + 42926360*y^9 - 133277004*y^10 + 378940920*y^11 - 994540824*y^12 + 2425454400*y^13 - 5528391180*y^14 + 11838441548*y^15 - 23929045906*y^16 + 45850619588*y^17 - 83602491842*y^18 + 145553281924*y^19 - 242682790310*y^20 + 388485696220*y^21 - 598369816166*y^22 + 888415158044*y^23 - 1273443679870*y^24 + 1764481482556*y^25 - 2365858897474*y^26 + 3072359150072*y^27 - 3866951816560*y^28 + 4719689506972*y^29 - 5588270562858*y^30 + 6420563971242*y^31 - 7159072826759*y^32 + 7746930602566*y^33 - 8134658269651*y^34 + 8286649466850*y^35 - 8186274218719*y^36 + 7838642741378*y^37 - 7270439462205*y^38 + 6526755359140*y^39 - 5665402713086*y^40 + 4749664806252*y^41 - 3840707287178*y^42 + 2990897063496*y^43 - 2239038743836*y^44 + 1608108548868*y^45 - 1105546753514*y^46 + 725684464150*y^47 - 453536082963*y^48 + 269050638046*y^49 - 150992712255*y^50 + 79871130474*y^51 - 39664980477*y^52 + 18412867170*y^53 - 7951679593*y^54 + 3177733486*y^55 - 1168169375*y^56 + 392334850*y^57 - 119427661*y^58 + 32636792*y^59 - 7913728*y^60 + 1677622*y^61 - 304933*y^62 + 46271*y^63 - 5637*y^64 + 518*y^65 - 32*y^66 + y^67)", "(-1 + y)^5*(-1 - 266*y - 99583*y^2 - 3457212*y^3 - 58165079*y^4 - 607808954*y^5 - 4343693633*y^6 - 22163120008*y^7 - 81172308596*y^8 - 198423703368*y^9 - 176291138764*y^10 + 1145332706112*y^11 + 7833093625736*y^12 + 30769903382264*y^13 + 93810800684980*y^14 + 240965952128084*y^15 + 541032625415158*y^16 + 1084035381813788*y^17 + 1964029610012822*y^18 + 3247063459497788*y^19 + 4930948164854514*y^20 + 6911843305403092*y^21 + 8975967476356874*y^22 + 10829078534731004*y^23 + 12161843542596938*y^24 + 12732200426804348*y^25 + 12435170442438070*y^26 + 11333149687874656*y^27 + 9635090003826360*y^28 + 7633850169106204*y^29 + 5626713566945310*y^30 + 3847676629953970*y^31 + 2431023313789501*y^32 + 1410477227430218*y^33 + 744526223039549*y^34 + 352259219396098*y^35 + 145559577735789*y^36 + 49825680680462*y^37 + 12193641016131*y^38 + 634029063324*y^39 - 1392247584310*y^40 - 963932613412*y^41 - 399093660850*y^42 - 118783072024*y^43 - 28450437428*y^44 - 7491043140*y^45 - 1986123002*y^46 + 1044232246*y^47 + 2288830649*y^48 + 2063111242*y^49 + 1262342377*y^50 + 601763146*y^51 + 239387423*y^52 + 90718710*y^53 + 36175103*y^54 + 15810854*y^55 + 6558533*y^56 + 2436926*y^57 + 758803*y^58 + 218968*y^59 + 62672*y^60 + 21158*y^61 + 7071*y^62 + 2183*y^63 + 519*y^64 + 98*y^65 + 12*y^66 + y^67)", "y^5*(-1024 - 14848*y - 106816*y^2 - 450688*y^3 - 1023280*y^4 - 46063*y^5 + 8565271*y^6 + 33737088*y^7 + 74231672*y^8 + 100395560*y^9 + 63237368*y^10 - 42107256*y^11 - 101649612*y^12 + 90208952*y^13 + 638122300*y^14 + 1308723596*y^15 + 1549721156*y^16 + 1022073020*y^17 + 400314452*y^18 + 1404424244*y^19 + 5125779144*y^20 + 9799516802*y^21 + 11346223534*y^22 + 7935112964*y^23 + 3827630920*y^24 + 6166683784*y^25 + 16603143440*y^26 + 28218628504*y^27 + 33104923508*y^28 + 31611342606*y^29 + 31120655766*y^30 + 36292902968*y^31 + 44137192788*y^32 + 49557079986*y^33 + 52292034554*y^34 + 55873858514*y^35 + 61722429232*y^36 + 67343963617*y^37 + 70102134703*y^38 + 70334087028*y^39 + 70030819144*y^40 + 69956984600*y^41 + 69120980192*y^42 + 66387269340*y^43 + 61621216976*y^44 + 55354729406*y^45 + 48063082090*y^46 + 40055366576*y^47 + 31769304784*y^48 + 23853968550*y^49 + 16932704470*y^50 + 11359566522*y^51 + 7181586880*y^52 + 4248182129*y^53 + 2326474007*y^54 + 1165382932*y^55 + 527702760*y^56 + 213662642*y^57 + 76566066*y^58 + 24032894*y^59 + 6531528*y^60 + 1515469*y^61 + 294719*y^62 + 46826*y^63 + 5852*y^64 + 541*y^65 + 33*y^66 + y^67)", "(-1 + y)^5*(-1 - 6*y - 151*y^2 + 2588*y^3 - 22863*y^4 + 145922*y^5 - 749633*y^6 + 3273528*y^7 - 12534540*y^8 + 42926360*y^9 - 133277004*y^10 + 378940920*y^11 - 994540824*y^12 + 2425454400*y^13 - 5528391180*y^14 + 11838441548*y^15 - 23929045906*y^16 + 45850619588*y^17 - 83602491842*y^18 + 145553281924*y^19 - 242682790310*y^20 + 388485696220*y^21 - 598369816166*y^22 + 888415158044*y^23 - 1273443679870*y^24 + 1764481482556*y^25 - 2365858897474*y^26 + 3072359150072*y^27 - 3866951816560*y^28 + 4719689506972*y^29 - 5588270562858*y^30 + 6420563971242*y^31 - 7159072826759*y^32 + 7746930602566*y^33 - 8134658269651*y^34 + 8286649466850*y^35 - 8186274218719*y^36 + 7838642741378*y^37 - 7270439462205*y^38 + 6526755359140*y^39 - 5665402713086*y^40 + 4749664806252*y^41 - 3840707287178*y^42 + 2990897063496*y^43 - 2239038743836*y^44 + 1608108548868*y^45 - 1105546753514*y^46 + 725684464150*y^47 - 453536082963*y^48 + 269050638046*y^49 - 150992712255*y^50 + 79871130474*y^51 - 39664980477*y^52 + 18412867170*y^53 - 7951679593*y^54 + 3177733486*y^55 - 1168169375*y^56 + 392334850*y^57 - 119427661*y^58 + 32636792*y^59 - 7913728*y^60 + 1677622*y^61 - 304933*y^62 + 46271*y^63 - 5637*y^64 + 518*y^65 - 32*y^66 + y^67)", "(-1 - y + y^2 + 4*y^3 + 3*y^4 + y^5)*(-1 + 8*y + 30*y^2 - 37*y^3 - 293*y^4 - 194*y^5 + 1295*y^6 + 2592*y^7 - 2180*y^8 - 11992*y^9 - 3896*y^10 + 38164*y^11 + 48560*y^12 - 83784*y^13 - 241608*y^14 + 37792*y^15 + 814522*y^16 + 717544*y^17 - 1774604*y^18 - 4066666*y^19 + 1159086*y^20 + 14464156*y^21 + 15299406*y^22 - 23454336*y^23 - 80582714*y^24 - 56190776*y^25 + 132484016*y^26 + 358246670*y^27 + 250768336*y^28 - 432256496*y^29 - 1253325528*y^30 - 1104053928*y^31 + 746860891*y^32 + 3304068704*y^33 + 3888683558*y^34 + 402538457*y^35 - 5826183245*y^36 - 9778330802*y^37 - 6451953057*y^38 + 4102238176*y^39 + 15263169830*y^40 + 18140384384*y^41 + 8643774952*y^42 - 8659108122*y^43 - 23320263524*y^44 - 26180230112*y^45 - 15234080244*y^46 + 3892361760*y^47 + 22319680643*y^48 + 33280832432*y^49 + 34897418082*y^50 + 29508841225*y^51 + 21123711729*y^52 + 13093014234*y^53 + 7108037913*y^54 + 3398838244*y^55 + 1434099063*y^56 + 533414180*y^57 + 174290676*y^58 + 49727503*y^59 + 12278896*y^60 + 2591120*y^61 + 459080*y^62 + 66578*y^63 + 7608*y^64 + 644*y^65 + 36*y^66 + y^67)", "(-1 - y - 3*y^2 + 8*y^3 - 5*y^4 + y^5)*(-81 - 360*y - 23278*y^2 + 1687447*y^3 - 34071973*y^4 + 350065618*y^5 - 2147633697*y^6 + 9818941432*y^7 - 42985547732*y^8 + 181347028296*y^9 - 605404858576*y^10 + 1398926323388*y^11 - 2022343906896*y^12 + 1357241193296*y^13 + 589591004052*y^14 - 1117354796916*y^15 - 2566794245286*y^16 + 7822744852960*y^17 - 6996341610004*y^18 - 2543382875038*y^19 + 10755416756742*y^20 - 3471891289344*y^21 - 19597232413890*y^22 + 40071075293308*y^23 - 38543156077618*y^24 + 16025780180968*y^25 + 6372580610064*y^26 - 10928114490082*y^27 + 3335009878040*y^28 - 4750405016968*y^29 + 24224885194736*y^30 - 45247817676324*y^31 + 43959170829411*y^32 - 16898881953348*y^33 - 15427609152174*y^34 + 31345372327153*y^35 - 27943775015781*y^36 + 17393757273082*y^37 - 10131697522081*y^38 + 6647510366584*y^39 - 2882774485986*y^40 - 2289120532408*y^41 + 6471404708776*y^42 - 7613913013226*y^43 + 6131974207492*y^44 - 3757865887032*y^45 + 1736828860020*y^46 - 359398871244*y^47 - 508908329165*y^48 + 973696092144*y^49 - 1079006056794*y^50 + 916809259497*y^51 - 636242798455*y^52 + 370056547762*y^53 - 182900691535*y^54 + 77429280424*y^55 - 28189760393*y^56 + 8834617060*y^57 - 2378988496*y^58 + 547857931*y^59 - 107049720*y^60 + 17538468*y^61 - 2368088*y^62 + 256958*y^63 - 21568*y^64 + 1316*y^65 - 52*y^66 + y^67)", "y^5*(-1024 - 14848*y - 106816*y^2 - 450688*y^3 - 1023280*y^4 - 46063*y^5 + 8565271*y^6 + 33737088*y^7 + 74231672*y^8 + 100395560*y^9 + 63237368*y^10 - 42107256*y^11 - 101649612*y^12 + 90208952*y^13 + 638122300*y^14 + 1308723596*y^15 + 1549721156*y^16 + 1022073020*y^17 + 400314452*y^18 + 1404424244*y^19 + 5125779144*y^20 + 9799516802*y^21 + 11346223534*y^22 + 7935112964*y^23 + 3827630920*y^24 + 6166683784*y^25 + 16603143440*y^26 + 28218628504*y^27 + 33104923508*y^28 + 31611342606*y^29 + 31120655766*y^30 + 36292902968*y^31 + 44137192788*y^32 + 49557079986*y^33 + 52292034554*y^34 + 55873858514*y^35 + 61722429232*y^36 + 67343963617*y^37 + 70102134703*y^38 + 70334087028*y^39 + 70030819144*y^40 + 69956984600*y^41 + 69120980192*y^42 + 66387269340*y^43 + 61621216976*y^44 + 55354729406*y^45 + 48063082090*y^46 + 40055366576*y^47 + 31769304784*y^48 + 23853968550*y^49 + 16932704470*y^50 + 11359566522*y^51 + 7181586880*y^52 + 4248182129*y^53 + 2326474007*y^54 + 1165382932*y^55 + 527702760*y^56 + 213662642*y^57 + 76566066*y^58 + 24032894*y^59 + 6531528*y^60 + 1515469*y^61 + 294719*y^62 + 46826*y^63 + 5852*y^64 + 541*y^65 + 33*y^66 + y^67)", "(-1 - 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