{ "Index":543, "Name":"11a_294", "RolfsenName":"11a_294", "DTname":"11a_294", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-17, 9, 1, -15, 3, -21, -19, -5, -11, -13, 7}", "Acode":"{-9, 5, 1, -8, 2, -11, -10, -3, -6, -7, 4}", "PDcode":[ "{6, 2, 7, 1}", "{18, 11, 19, 12}", "{10, 4, 11, 3}", "{2, 17, 3, 18}", "{16, 5, 17, 6}", "{22, 8, 1, 7}", "{4, 10, 5, 9}", "{12, 21, 13, 22}", "{20, 13, 21, 14}", "{14, 19, 15, 20}", "{8, 15, 9, 16}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{6, 11, 2}", [], [ "{6, -11, 7, 1}", "{6, 2, 5, 2}", "{2, 5, 3, 1}", "{11, -7, 10, 2}", "{7, -10, 8, 1}", "{5, -8, 4, 2}", "{10, -6, 9, 2}", "{2, -9, 1, 2}" ], "{8, 11}", "{3}", 3 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a*b + b^2 - 2*a*b^3 + b^4 - a*b^5 + 2*u + u^2 - 2*a^2*u^2 + 3*a*b*u^2 - b^2*u^2 - 4*a^2*b^2*u^2 + 2*a*b^3*u^2 + b^4*u^2 - 2*a^2*b^4*u^2 - a*b^5*u^2 + u^3 - a^2*u^4 + 2*a*b*u^4 - b^2*u^4 - 2*a^2*b^2*u^4 + 2*a*b^3*u^4 - a^2*b^4*u^4", "-b^2 - 2*b^4 - b^6 - u - 2*u^2 - 2*a*b*u^2 + b^2*u^2 - 4*a*b^3*u^2 - 2*a*b^5*u^2 - b^6*u^2 - u^3 - u^4 - a*b*u^4 + b^2*u^4 - 2*a*b^3*u^4 + b^4*u^4 - a*b^5*u^4", "-a - u + 2*a*b*u - 2*b^2*u - a^2*b^2*u + 2*a*b^3*u - b^4*u + 2*a*u^2 + 4*b*u^2 + 4*u^3 - 8*a*b*u^3 + 4*a^2*b^2*u^3 - 4*b^4*u^3 + 3*a*u^4 + 4*b*u^4 + 2*u^5 - 4*a*b*u^5 + 12*b^2*u^5 + 2*a^2*b^2*u^5 - 12*a*b^3*u^5 - 6*b^4*u^5 + a*u^6 + b*u^6 - 10*u^7 + 20*a*b*u^7 + 18*b^2*u^7 - 10*a^2*b^2*u^7 - 18*a*b^3*u^7 - 4*b^4*u^7 - 13*u^9 + 26*a*b*u^9 + 10*b^2*u^9 - 13*a^2*b^2*u^9 - 10*a*b^3*u^9 - b^4*u^9 - 6*u^11 + 12*a*b*u^11 + 2*b^2*u^11 - 6*a^2*b^2*u^11 - 2*a*b^3*u^11 - u^13 + 2*a*b*u^13 - a^2*b^2*u^13", "-b + u + b^2*u - a*b^3*u + b^4*u - a*u^2 - 2*b*u^2 + 4*b^4*u^3 - 2*a*u^4 - 3*b*u^4 - 4*u^5 + 8*a*b*u^5 - 8*b^2*u^5 - 4*a^2*b^2*u^5 + 8*a*b^3*u^5 + 8*b^4*u^5 - a*u^6 - b*u^6 + 4*u^7 - 8*a*b*u^7 - 24*b^2*u^7 + 4*a^2*b^2*u^7 + 24*a*b^3*u^7 + 9*b^4*u^7 + 19*u^9 - 38*a*b*u^9 - 26*b^2*u^9 + 19*a^2*b^2*u^9 + 26*a*b^3*u^9 + 5*b^4*u^9 + 18*u^11 - 36*a*b*u^11 - 12*b^2*u^11 + 18*a^2*b^2*u^11 + 12*a*b^3*u^11 + b^4*u^11 + 7*u^13 - 14*a*b*u^13 - 2*b^2*u^13 + 7*a^2*b^2*u^13 + 2*a*b^3*u^13 + u^15 - 2*a*b*u^15 + a^2*b^2*u^15" ], "TimingForPrimaryIdeals":0.237528 }, "v":{ "CheckEq":[ "-b^2 - 2*b^4 - b^6", "1 - a*b + b^2 - 2*a*b^3 + b^4 - a*b^5 - v", "-b + b^4*v", "-a + v - b^2*v + a*b^3*v - b^4*v + b*v^2" ], "TimingForPrimaryIdeals":9.7155e-2 }, "PrimaryIdeals":[ { "IdealName":"J11a_294_0", "Generators":[ "-781237782063 + 735180934969*b + 574881104261*u + 1626306322811*u^2 - 3725840852449*u^3 + 2324509422609*u^4 - 5336428349985*u^5 + 798444440616*u^6 - 1706900446293*u^7 + 625584094603*u^8 + 1908911438710*u^9 + 595555158359*u^10 + 1046200883439*u^11 - 701595675634*u^12 - 2995697784342*u^13 - 1554347701646*u^14 - 4684781537434*u^15 - 1140803059163*u^16 - 2978547527356*u^17 - 420689927369*u^18 - 976428469079*u^19 - 77392994677*u^20 - 156606285124*u^21 - 5433253456*u^22 - 8634895226*u^23", "7856566749775 + 2940723739876*a - 19325629465668*u - 13093535227102*u^2 + 44002600217204*u^3 - 50566570397016*u^4 + 107730118456830*u^5 - 36887300693250*u^6 + 63521911638421*u^7 - 21227995424831*u^8 - 23564006782032*u^9 - 20180924422424*u^10 - 45100433582618*u^11 - 4263918073097*u^12 + 15850750879160*u^13 + 10161766272003*u^14 + 73317427368084*u^15 + 8851346209035*u^16 + 67599540604560*u^17 + 3064334021578*u^18 + 31168701887196*u^19 + 471639151142*u^20 + 7520898264206*u^21 + 23673073992*u^22 + 763967991611*u^23", "-4 + 15*u - 16*u^2 - 40*u^3 + 74*u^4 - 98*u^5 + 150*u^6 - 58*u^7 + 87*u^8 - 19*u^9 - 32*u^10 - 22*u^11 - 64*u^12 - 19*u^13 + 20*u^14 - 7*u^15 + 100*u^16 - u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.111743, "TimingZeroDimVars":0.11676, "TimingmagmaVCompNormalize":0.118007, "TimingNumberOfSols":0.249898, "TimingIsRadical":2.2412e-2, "TimingArcColoring":0.123665, "TimingObstruction":7.618699999999999e-2, "TimingComplexVolumeN":2.1983645e1, "TimingaCuspShapeN":0.172627, "TiminguValues":0.755255, "TiminguPolysN":8.0144e-2, "TiminguPolys":1.018132, "TimingaCuspShape":0.149425, "TimingRepresentationsN":0.235867, "TiminguValues_ij":0.342836, "TiminguPoly_ij":2.790018, "TiminguPolys_ij_N":0.19572 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":24, "IsRadical":true, "ArcColoring":[ [ "(-7178174581823 + 18919338727272*u + 11511148242348*u^2 - 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u^4" ], [ "-2*u - u^3", "u + u^3" ], [ "-u", "u + u^3" ], [ 0, "u" ] ], "Obstruction":-1, "ComplexVolumeN":[ "7.4923 - 1.49785*I", "7.4923 + 1.49785*I", "9.3482 + 11.6156*I", "9.3482 - 11.6156*I", "5.61526 - 4.36903*I", "5.61526 + 4.36903*I", "6.85359 - 6.74871*I", "6.85359 + 6.74871*I", "-4.1775 + 3.32302*I", "-4.1775 - 3.32302*I", "-5.99931 + 2.29383*I", "-5.99931 - 2.29383*I", -0.112715, "-3.41691 - 2.41506*I", "-3.41691 + 2.41506*I", "4.2704 + 16.0735*I", "4.2704 - 16.0735*I", "2.2609 - 6.77325*I", "2.2609 + 6.77325*I", 0.853473, "-2.48001 - 6.89114*I", "-2.48001 + 6.89114*I", "-1.22051 + 0.86188*I", "-1.22051 - 0.86188*I" ], "uPolysN":[ "1\/8 - u\/8 - (3*u^2)\/8 - u^4\/2 + (11*u^5)\/8 + 4*u^6 - (11*u^7)\/2 - (57*u^8)\/8 + (101*u^9)\/8 + (29*u^10)\/8 - (79*u^11)\/4 + (143*u^12)\/8 + (95*u^13)\/4 - (177*u^14)\/4 - (59*u^15)\/2 + (413*u^16)\/8 + (249*u^17)\/8 - (217*u^18)\/8 - (95*u^19)\/4 + (67*u^20)\/4 + (55*u^21)\/8 - 4*u^22 - (3*u^23)\/2 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "1\/8 - u\/8 - (3*u^2)\/8 - u^4\/2 + (11*u^5)\/8 + 4*u^6 - (11*u^7)\/2 - (57*u^8)\/8 + (101*u^9)\/8 + (29*u^10)\/8 - (79*u^11)\/4 + (143*u^12)\/8 + (95*u^13)\/4 - (177*u^14)\/4 - (59*u^15)\/2 + (413*u^16)\/8 + (249*u^17)\/8 - (217*u^18)\/8 - (95*u^19)\/4 + (67*u^20)\/4 + (55*u^21)\/8 - 4*u^22 - (3*u^23)\/2 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "128 + 224*u - 688*u^2 - 1922*u^3 - 1427*u^4 + 752*u^5 + 5483*u^6 + 6193*u^7 - 117*u^8 + 7544*u^9 + 18642*u^10 + 4570*u^11 - 8183*u^12 - 3418*u^13 + 3777*u^14 + 2295*u^15 - 380*u^16 - 596*u^17 + 38*u^18 + 138*u^19 + 39*u^20 - 6*u^21 + u^22 + 3*u^23 + u^24", "-676 - 1079*u + 160*u^2 + 7784*u^3 - 3370*u^4 - 5082*u^5 + 6558*u^6 + 2034*u^7 - 2629*u^8 - 2325*u^9 + 4922*u^10 + 602*u^11 - 1718*u^12 - 573*u^13 + 784*u^14 + 587*u^15 - 22*u^16 - 297*u^17 - 2*u^18 + 60*u^19 + 18*u^20 - 2*u^21 - 6*u^22 + u^24", "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24" ], "uPolys":[ "8*(1 - u - 3*u^2 - 4*u^4 + 11*u^5 + 32*u^6 - 44*u^7 - 57*u^8 + 101*u^9 + 29*u^10 - 158*u^11 + 143*u^12 + 190*u^13 - 354*u^14 - 236*u^15 + 413*u^16 + 249*u^17 - 217*u^18 - 190*u^19 + 134*u^20 + 55*u^21 - 32*u^22 - 12*u^23 + 8*u^24)", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "8*(1 - u - 3*u^2 - 4*u^4 + 11*u^5 + 32*u^6 - 44*u^7 - 57*u^8 + 101*u^9 + 29*u^10 - 158*u^11 + 143*u^12 + 190*u^13 - 354*u^14 - 236*u^15 + 413*u^16 + 249*u^17 - 217*u^18 - 190*u^19 + 134*u^20 + 55*u^21 - 32*u^22 - 12*u^23 + 8*u^24)", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "128 + 224*u - 688*u^2 - 1922*u^3 - 1427*u^4 + 752*u^5 + 5483*u^6 + 6193*u^7 - 117*u^8 + 7544*u^9 + 18642*u^10 + 4570*u^11 - 8183*u^12 - 3418*u^13 + 3777*u^14 + 2295*u^15 - 380*u^16 - 596*u^17 + 38*u^18 + 138*u^19 + 39*u^20 - 6*u^21 + u^22 + 3*u^23 + u^24", "-676 - 1079*u + 160*u^2 + 7784*u^3 - 3370*u^4 - 5082*u^5 + 6558*u^6 + 2034*u^7 - 2629*u^8 - 2325*u^9 + 4922*u^10 + 602*u^11 - 1718*u^12 - 573*u^13 + 784*u^14 + 587*u^15 - 22*u^16 - 297*u^17 - 2*u^18 + 60*u^19 + 18*u^20 - 2*u^21 - 6*u^22 + u^24", "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24" ], "aCuspShape":"3 + (13257796107600 - 104556151676103*u + 32535263535446*u^2 + 193152396354259*u^3 - 66621215363327*u^4 + 466948923212103*u^5 - 146210402531248*u^6 + 182877295497610*u^7 - 233348312325570*u^8 - 205550381643983*u^9 - 168913489913162*u^10 - 174163067420057*u^11 + 84865968818355*u^12 + 182654487767296*u^13 + 217535464266350*u^14 + 411259183341180*u^15 + 146692389547578*u^16 + 329639176441463*u^17 + 47914002513820*u^18 + 141908972162235*u^19 + 7394256650669*u^20 + 32915195588079*u^21 + 370425580800*u^22 + 3273744381060*u^23)\/2940723739876", "RepresentationsN":[ [ "u->-1.02146 + 0.275515 I", "a->0.39552 - 1.65501 I", "b->0.047276 + 1.18636 I" ], [ "u->-1.02146 - 0.275515 I", "a->0.39552 + 1.65501 I", "b->0.047276 - 1.18636 I" ], [ "u->0.870278 + 0.206907 I", "a->-0.50041 - 2.31304 I", "b->-0.49469 + 1.37599 I" ], [ "u->0.870278 - 0.206907 I", "a->-0.50041 + 2.31304 I", "b->-0.49469 - 1.37599 I" ], [ "u->-0.71152 + 0.880248 I", "a->-0.49621 + 1.18049 I", "b->-0.138302 - 1.1932 I" ], [ "u->-0.71152 - 0.880248 I", "a->-0.49621 - 1.18049 I", "b->-0.138302 + 1.1932 I" ], [ "u->0.507475 + 1.0208 I", "a->0.471884 + 1.00685 I", "b->-0.411983 - 1.34668 I" ], [ "u->0.507475 - 1.0208 I", "a->0.471884 - 1.00685 I", "b->-0.411983 + 1.34668 I" ], [ "u->0.263649 + 1.29392 I", "a->0.137301 + 0.951214 I", "b->1.34743 + 0.18865 I" ], [ "u->0.263649 - 1.29392 I", "a->0.137301 - 0.951214 I", "b->1.34743 - 0.18865 I" ], [ "u->0.102906 + 1.32592 I", "a->0.978679 + 0.749632 I", "b->0.912691 - 0.587846 I" ], [ "u->0.102906 - 1.32592 I", "a->0.978679 - 0.749632 I", "b->0.912691 + 0.587846 I" ], [ "u->0.656566", "a->-1.48947", "b->1.29551" ], [ "u->-0.181673 + 1.33299 I", "a->-0.47791 + 0.021115 I", "b->-0.263704 + 0.2297 I" ], [ "u->-0.181673 - 1.33299 I", "a->-0.47791 - 0.021115 I", "b->-0.263704 - 0.2297 I" ], [ "u->0.36901 + 1.39774 I", "a->-1.48756 - 1.23046 I", "b->-0.55509 + 1.37302 I" ], [ "u->0.36901 - 1.39774 I", "a->-1.48756 + 1.23046 I", "b->-0.55509 - 1.37302 I" ], [ "u->-0.45316 + 1.40935 I", "a->0.831561 - 1.01812 I", "b->0.207861 + 1.15974 I" ], [ "u->-0.45316 - 1.40935 I", "a->0.831561 + 1.01812 I", "b->0.207861 - 1.15974 I" ], [ "u->-0.49685", "a->-0.482259", "b->-0.161437" ], [ "u->-0.11292 + 1.52095 I", "a->-0.621242 + 0.178604 I", "b->-0.381421 - 1.07464 I" ], [ "u->-0.11292 - 1.52095 I", "a->-0.621242 - 0.178604 I", "b->-0.381421 + 1.07464 I" ], [ "u->0.287554 + 0.235788 I", "a->-0.37075 + 1.6678 I", "b->0.66289 - 0.292141 I" ], [ "u->0.287554 - 0.235788 I", "a->-0.37075 - 1.6678 I", "b->0.66289 + 0.292141 I" ] ], "Epsilon":1.25194, "uPolys_ij":[ "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "16 - 97*u + 864*u^2 - 2228*u^3 - 6120*u^4 + 5998*u^5 + 24684*u^6 + 14974*u^7 - 20769*u^8 - 32911*u^9 + 2916*u^10 + 47554*u^11 + 52486*u^12 + 20389*u^13 - 8142*u^14 - 8511*u^15 + 7824*u^16 + 18735*u^17 + 17136*u^18 + 9768*u^19 + 3804*u^20 + 1024*u^21 + 184*u^22 + 20*u^23 + u^24", "-676 - 1079*u + 160*u^2 + 7784*u^3 - 3370*u^4 - 5082*u^5 + 6558*u^6 + 2034*u^7 - 2629*u^8 - 2325*u^9 + 4922*u^10 + 602*u^11 - 1718*u^12 - 573*u^13 + 784*u^14 + 587*u^15 - 22*u^16 - 297*u^17 - 2*u^18 + 60*u^19 + 18*u^20 - 2*u^21 - 6*u^22 + u^24", "2848 + 4559*u + 31080*u^2 + 69084*u^3 + 8346*u^4 - 247690*u^5 - 385764*u^6 - 215114*u^7 - 2607*u^8 - 36283*u^9 - 46890*u^10 + 134836*u^11 + 263782*u^12 + 180161*u^13 + 45210*u^14 - 5035*u^15 + 766*u^16 + 6827*u^17 + 3986*u^18 + 894*u^19 + 42*u^20 + 16*u^21 + 24*u^22 + 8*u^23 + u^24", "-98116 - 424223*u + 554492*u^2 + 3959556*u^3 + 3199218*u^4 - 5016818*u^5 + 1824396*u^6 - 14520830*u^7 + 7993875*u^8 + 6720567*u^9 - 1947790*u^10 + 1788286*u^11 - 1004516*u^12 - 140721*u^13 + 326144*u^14 - 50605*u^15 + 45054*u^16 - 17893*u^17 + 2882*u^18 - 318*u^19 + 500*u^20 - 68*u^21 - 10*u^22 + u^24", "456976 - 1380561*u + 21379712*u^2 - 81502428*u^3 + 100515816*u^4 - 114206130*u^5 + 122792892*u^6 - 107642898*u^7 + 109092575*u^8 - 77159535*u^9 + 59515284*u^10 - 30667338*u^11 + 15902686*u^12 - 5303563*u^13 + 1807906*u^14 - 572239*u^15 + 291024*u^16 - 102169*u^17 + 24356*u^18 - 3028*u^19 + 544*u^20 - 224*u^21 + 72*u^22 - 12*u^23 + u^24", "16384 - 226304*u + 969088*u^2 - 663780*u^3 - 5422007*u^4 + 9145538*u^5 + 20288471*u^6 - 72861651*u^7 + 108021495*u^8 - 203630252*u^9 + 359478444*u^10 - 306618172*u^11 + 211940015*u^12 - 100923038*u^13 + 41024307*u^14 - 12576851*u^15 + 3518812*u^16 - 770428*u^17 + 175536*u^18 - 30208*u^19 + 6069*u^20 - 710*u^21 + 115*u^22 - 7*u^23 + u^24", "-19984 + 69880*u + 99660*u^2 - 276044*u^3 - 469911*u^4 + 465598*u^5 + 891427*u^6 - 127235*u^7 - 673581*u^8 + 562868*u^9 + 270122*u^10 - 455238*u^11 + 111925*u^12 + 131838*u^13 - 107209*u^14 + 11385*u^15 + 24358*u^16 - 12948*u^17 + 124*u^18 + 1988*u^19 - 625*u^20 - 6*u^21 + 45*u^22 - 11*u^23 + u^24", "8*(-38813 + 185735*u - 18757*u^2 + 568332*u^3 - 922562*u^4 + 1200387*u^5 + 1128324*u^6 - 812836*u^7 + 1306501*u^8 + 803887*u^9 - 61855*u^10 + 610050*u^11 + 390069*u^12 - 33538*u^13 + 105564*u^14 + 74416*u^15 + 2075*u^16 + 13797*u^17 + 11861*u^18 + 3646*u^19 + 1922*u^20 + 949*u^21 + 328*u^22 + 68*u^23 + 8*u^24)", "8*(-31 - 277*u - 735*u^2 + 168*u^3 + 2886*u^4 + 137*u^5 - 6002*u^6 + 9550*u^7 + 27639*u^8 - 7245*u^9 - 45859*u^10 - 5952*u^11 + 45093*u^12 + 15078*u^13 - 30046*u^14 - 11756*u^15 + 13683*u^16 + 4193*u^17 - 4147*u^18 - 664*u^19 + 802*u^20 + 53*u^21 - 96*u^22 - 4*u^23 + 8*u^24)", "8*(-107 - 73*u + 3*u^2 + 1528*u^3 + 5702*u^4 + 8151*u^5 - 234*u^6 - 16056*u^7 - 27705*u^8 + 23977*u^9 + 34397*u^10 - 16846*u^11 + 10419*u^12 - 1028*u^13 - 35828*u^14 + 9658*u^15 + 22679*u^16 - 4909*u^17 - 7267*u^18 + 826*u^19 + 1548*u^20 - 103*u^21 - 168*u^22 + 4*u^23 + 8*u^24)", "8*(-2983 - 5157*u + 21319*u^2 + 35432*u^3 - 95792*u^4 - 260385*u^5 + 1052616*u^6 - 233040*u^7 - 972419*u^8 - 546809*u^9 + 1438055*u^10 - 2261414*u^11 + 2202273*u^12 - 541134*u^13 + 1043858*u^14 - 14494*u^15 + 260447*u^16 + 9883*u^17 + 39549*u^18 + 1632*u^19 + 3820*u^20 + 111*u^21 + 232*u^22 + 4*u^23 + 8*u^24)", "128 + 224*u - 688*u^2 - 1922*u^3 - 1427*u^4 + 752*u^5 + 5483*u^6 + 6193*u^7 - 117*u^8 + 7544*u^9 + 18642*u^10 + 4570*u^11 - 8183*u^12 - 3418*u^13 + 3777*u^14 + 2295*u^15 - 380*u^16 - 596*u^17 + 38*u^18 + 138*u^19 + 39*u^20 - 6*u^21 + u^22 + 3*u^23 + u^24", "8*(-6889 - 14883*u + 29663*u^2 + 126286*u^3 + 111130*u^4 - 123917*u^5 - 74206*u^6 + 326576*u^7 - 59221*u^8 - 336171*u^9 + 84585*u^10 - 37072*u^11 + 27025*u^12 + 12458*u^13 + 65012*u^14 - 70040*u^15 + 59147*u^16 - 36771*u^17 + 19211*u^18 - 7160*u^19 + 3010*u^20 - 623*u^21 + 240*u^22 - 20*u^23 + 8*u^24)", "8*(-1537 - 4221*u + 225*u^2 + 32610*u^3 + 135376*u^4 + 373611*u^5 + 668724*u^6 + 831016*u^7 + 982901*u^8 + 1334729*u^9 + 1562557*u^10 + 1245700*u^11 + 737049*u^12 + 320398*u^13 + 172118*u^14 + 100668*u^15 + 45659*u^16 + 6965*u^17 + 2383*u^18 + 2744*u^19 + 1414*u^20 - 109*u^21 - 24*u^22 + 28*u^23 + 8*u^24)", "8*(1 - u - 3*u^2 - 4*u^4 + 11*u^5 + 32*u^6 - 44*u^7 - 57*u^8 + 101*u^9 + 29*u^10 - 158*u^11 + 143*u^12 + 190*u^13 - 354*u^14 - 236*u^15 + 413*u^16 + 249*u^17 - 217*u^18 - 190*u^19 + 134*u^20 + 55*u^21 - 32*u^22 - 12*u^23 + 8*u^24)", "8*(-1 + 13*u - 77*u^2 + 228*u^3 + 76*u^4 - 1621*u^5 - 544*u^6 + 824*u^7 + 25475*u^8 + 21693*u^9 - 4785*u^10 - 40024*u^11 + 51481*u^12 - 42288*u^13 + 15780*u^14 + 23038*u^15 - 10775*u^16 + 4179*u^17 + 6471*u^18 - 1796*u^19 + 1044*u^20 + 99*u^21 + 24*u^22 - 20*u^23 + 8*u^24)", "64*(1646 + 41157*u + 301260*u^2 + 1198207*u^3 + 3949641*u^4 + 11318891*u^5 + 20991894*u^6 + 19706008*u^7 + 1951872*u^8 - 10397669*u^9 - 1813208*u^10 + 7423051*u^11 + 1888081*u^12 - 5061384*u^13 - 3186868*u^14 + 996440*u^15 + 1574264*u^16 + 342585*u^17 - 222778*u^18 - 143189*u^19 - 16451*u^20 + 11265*u^21 + 5176*u^22 + 912*u^23 + 64*u^24)", "-16 + 64*u + 152*u^2 + 8*u^3 + 615*u^4 + 3906*u^5 + 8391*u^6 + 14047*u^7 + 29069*u^8 + 41172*u^9 + 5466*u^10 - 66424*u^11 - 52433*u^12 + 132634*u^13 + 384103*u^14 + 511363*u^15 + 448628*u^16 + 285036*u^17 + 135736*u^18 + 48788*u^19 + 13077*u^20 + 2534*u^21 + 335*u^22 + 27*u^23 + u^24", "1 + 38*u + 49*u^2 + 2251*u^3 - 6514*u^4 + 5656*u^5 - 9067*u^6 + 37695*u^7 - 74686*u^8 + 78662*u^9 - 50507*u^10 + 23695*u^11 - 7427*u^12 - 7544*u^13 + 16843*u^14 - 12841*u^15 + 2581*u^16 + 3014*u^17 - 2603*u^18 + 675*u^19 + 192*u^20 - 208*u^21 + 73*u^22 - 13*u^23 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "-3376 - 2176*u + 10124*u^2 + 99958*u^3 + 269409*u^4 + 545070*u^5 + 771549*u^6 + 843853*u^7 + 732425*u^8 + 517934*u^9 + 328968*u^10 + 112314*u^11 - 38785*u^12 - 12932*u^13 + 69029*u^14 + 103441*u^15 + 81320*u^16 + 40240*u^17 + 15280*u^18 + 4592*u^19 + 1517*u^20 + 410*u^21 + 95*u^22 + 13*u^23 + u^24", "8*(-1907 - 4441*u + 5711*u^2 + 69070*u^3 + 252804*u^4 + 637443*u^5 + 1232070*u^6 + 1920682*u^7 + 2483541*u^8 + 2711045*u^9 + 2541879*u^10 + 2077156*u^11 + 1502749*u^12 + 974254*u^13 + 571522*u^14 + 304956*u^15 + 148359*u^16 + 65565*u^17 + 26277*u^18 + 9364*u^19 + 3024*u^20 + 823*u^21 + 212*u^22 + 36*u^23 + 8*u^24)", "64*(-41108 - 528917*u - 3036040*u^2 - 9864773*u^3 - 17692665*u^4 - 5157651*u^5 + 70272792*u^6 + 247528204*u^7 + 521474926*u^8 + 828571221*u^9 + 1076687768*u^10 + 1189777983*u^11 + 1136085189*u^12 + 937748104*u^13 + 663330464*u^14 + 397227176*u^15 + 198805966*u^16 + 82078623*u^17 + 27555008*u^18 + 7389715*u^19 + 1545039*u^20 + 242847*u^21 + 27032*u^22 + 1904*u^23 + 64*u^24)", "64*(1 - 7*u + u^2 + 110*u^3 - 378*u^4 + 225*u^5 + 2244*u^6 - 9224*u^7 + 18803*u^8 - 22021*u^9 + 13597*u^10 - 13530*u^11 + 71863*u^12 - 222672*u^13 + 425308*u^14 - 565056*u^15 + 569293*u^16 - 459175*u^17 + 307857*u^18 - 159406*u^19 + 65328*u^20 - 19633*u^21 + 4488*u^22 - 656*u^23 + 64*u^24)", "8*(-19 - 55*u + 601*u^2 - 730*u^3 + 1600*u^4 - 8189*u^5 + 9028*u^6 - 11508*u^7 + 33719*u^8 - 17395*u^9 + 57681*u^10 + 13764*u^11 + 106875*u^12 + 63094*u^13 + 96694*u^14 + 38816*u^15 + 36735*u^16 + 9697*u^17 + 9251*u^18 + 2390*u^19 + 1888*u^20 + 429*u^21 + 212*u^22 + 28*u^23 + 8*u^24)", "8*(-289 - 2167*u - 6775*u^2 - 9290*u^3 + 7894*u^4 + 66225*u^5 + 143074*u^6 + 146772*u^7 + 36109*u^8 - 74841*u^9 - 80083*u^10 - 31798*u^11 + 741*u^12 + 28196*u^13 + 45892*u^14 + 27326*u^15 - 3853*u^16 - 10833*u^17 - 1547*u^18 + 2512*u^19 + 816*u^20 - 225*u^21 - 92*u^22 + 20*u^23 + 8*u^24)", "8*(-1 - 5*u + 119*u^2 - 456*u^3 - 7284*u^4 + 4535*u^5 + 124508*u^6 - 584032*u^7 - 359023*u^8 + 373439*u^9 + 1584209*u^10 + 1405744*u^11 + 1430945*u^12 + 834358*u^13 + 565508*u^14 + 250872*u^15 + 138803*u^16 + 47061*u^17 + 23977*u^18 + 5966*u^19 + 2922*u^20 + 487*u^21 + 224*u^22 + 20*u^23 + 8*u^24)", "8*(-27121 - 42281*u + 148761*u^2 + 164852*u^3 - 525140*u^4 + 1362417*u^5 - 272712*u^6 - 277230*u^7 + 1384321*u^8 - 988601*u^9 + 1188427*u^10 - 438692*u^11 + 559753*u^12 - 95224*u^13 + 177986*u^14 - 12792*u^15 + 22631*u^16 + 595*u^17 + 12355*u^18 + 3518*u^19 + 732*u^20 - 479*u^21 - 76*u^22 - 4*u^23 + 8*u^24)" ], "GeometricComponent":"{16, 17}", "uPolys_ij_N":[ "-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24", "16 - 97*u + 864*u^2 - 2228*u^3 - 6120*u^4 + 5998*u^5 + 24684*u^6 + 14974*u^7 - 20769*u^8 - 32911*u^9 + 2916*u^10 + 47554*u^11 + 52486*u^12 + 20389*u^13 - 8142*u^14 - 8511*u^15 + 7824*u^16 + 18735*u^17 + 17136*u^18 + 9768*u^19 + 3804*u^20 + 1024*u^21 + 184*u^22 + 20*u^23 + u^24", "-676 - 1079*u + 160*u^2 + 7784*u^3 - 3370*u^4 - 5082*u^5 + 6558*u^6 + 2034*u^7 - 2629*u^8 - 2325*u^9 + 4922*u^10 + 602*u^11 - 1718*u^12 - 573*u^13 + 784*u^14 + 587*u^15 - 22*u^16 - 297*u^17 - 2*u^18 + 60*u^19 + 18*u^20 - 2*u^21 - 6*u^22 + u^24", "2848 + 4559*u + 31080*u^2 + 69084*u^3 + 8346*u^4 - 247690*u^5 - 385764*u^6 - 215114*u^7 - 2607*u^8 - 36283*u^9 - 46890*u^10 + 134836*u^11 + 263782*u^12 + 180161*u^13 + 45210*u^14 - 5035*u^15 + 766*u^16 + 6827*u^17 + 3986*u^18 + 894*u^19 + 42*u^20 + 16*u^21 + 24*u^22 + 8*u^23 + u^24", "-98116 - 424223*u + 554492*u^2 + 3959556*u^3 + 3199218*u^4 - 5016818*u^5 + 1824396*u^6 - 14520830*u^7 + 7993875*u^8 + 6720567*u^9 - 1947790*u^10 + 1788286*u^11 - 1004516*u^12 - 140721*u^13 + 326144*u^14 - 50605*u^15 + 45054*u^16 - 17893*u^17 + 2882*u^18 - 318*u^19 + 500*u^20 - 68*u^21 - 10*u^22 + u^24", "456976 - 1380561*u + 21379712*u^2 - 81502428*u^3 + 100515816*u^4 - 114206130*u^5 + 122792892*u^6 - 107642898*u^7 + 109092575*u^8 - 77159535*u^9 + 59515284*u^10 - 30667338*u^11 + 15902686*u^12 - 5303563*u^13 + 1807906*u^14 - 572239*u^15 + 291024*u^16 - 102169*u^17 + 24356*u^18 - 3028*u^19 + 544*u^20 - 224*u^21 + 72*u^22 - 12*u^23 + u^24", "16384 - 226304*u + 969088*u^2 - 663780*u^3 - 5422007*u^4 + 9145538*u^5 + 20288471*u^6 - 72861651*u^7 + 108021495*u^8 - 203630252*u^9 + 359478444*u^10 - 306618172*u^11 + 211940015*u^12 - 100923038*u^13 + 41024307*u^14 - 12576851*u^15 + 3518812*u^16 - 770428*u^17 + 175536*u^18 - 30208*u^19 + 6069*u^20 - 710*u^21 + 115*u^22 - 7*u^23 + u^24", "-19984 + 69880*u + 99660*u^2 - 276044*u^3 - 469911*u^4 + 465598*u^5 + 891427*u^6 - 127235*u^7 - 673581*u^8 + 562868*u^9 + 270122*u^10 - 455238*u^11 + 111925*u^12 + 131838*u^13 - 107209*u^14 + 11385*u^15 + 24358*u^16 - 12948*u^17 + 124*u^18 + 1988*u^19 - 625*u^20 - 6*u^21 + 45*u^22 - 11*u^23 + u^24", "-38813\/8 + (185735*u)\/8 - (18757*u^2)\/8 + (142083*u^3)\/2 - (461281*u^4)\/4 + (1200387*u^5)\/8 + (282081*u^6)\/2 - (203209*u^7)\/2 + (1306501*u^8)\/8 + (803887*u^9)\/8 - (61855*u^10)\/8 + (305025*u^11)\/4 + (390069*u^12)\/8 - (16769*u^13)\/4 + (26391*u^14)\/2 + 9302*u^15 + (2075*u^16)\/8 + (13797*u^17)\/8 + (11861*u^18)\/8 + (1823*u^19)\/4 + (961*u^20)\/4 + (949*u^21)\/8 + 41*u^22 + (17*u^23)\/2 + u^24", "-31\/8 - (277*u)\/8 - (735*u^2)\/8 + 21*u^3 + (1443*u^4)\/4 + (137*u^5)\/8 - (3001*u^6)\/4 + (4775*u^7)\/4 + (27639*u^8)\/8 - (7245*u^9)\/8 - (45859*u^10)\/8 - 744*u^11 + (45093*u^12)\/8 + (7539*u^13)\/4 - (15023*u^14)\/4 - (2939*u^15)\/2 + (13683*u^16)\/8 + (4193*u^17)\/8 - (4147*u^18)\/8 - 83*u^19 + (401*u^20)\/4 + (53*u^21)\/8 - 12*u^22 - u^23\/2 + u^24", "-107\/8 - (73*u)\/8 + (3*u^2)\/8 + 191*u^3 + (2851*u^4)\/4 + (8151*u^5)\/8 - (117*u^6)\/4 - 2007*u^7 - (27705*u^8)\/8 + (23977*u^9)\/8 + (34397*u^10)\/8 - (8423*u^11)\/4 + (10419*u^12)\/8 - (257*u^13)\/2 - (8957*u^14)\/2 + (4829*u^15)\/4 + (22679*u^16)\/8 - (4909*u^17)\/8 - (7267*u^18)\/8 + (413*u^19)\/4 + (387*u^20)\/2 - (103*u^21)\/8 - 21*u^22 + u^23\/2 + u^24", "-2983\/8 - (5157*u)\/8 + (21319*u^2)\/8 + 4429*u^3 - 11974*u^4 - (260385*u^5)\/8 + 131577*u^6 - 29130*u^7 - (972419*u^8)\/8 - (546809*u^9)\/8 + (1438055*u^10)\/8 - (1130707*u^11)\/4 + (2202273*u^12)\/8 - (270567*u^13)\/4 + (521929*u^14)\/4 - (7247*u^15)\/4 + (260447*u^16)\/8 + (9883*u^17)\/8 + (39549*u^18)\/8 + 204*u^19 + (955*u^20)\/2 + (111*u^21)\/8 + 29*u^22 + u^23\/2 + u^24", "128 + 224*u - 688*u^2 - 1922*u^3 - 1427*u^4 + 752*u^5 + 5483*u^6 + 6193*u^7 - 117*u^8 + 7544*u^9 + 18642*u^10 + 4570*u^11 - 8183*u^12 - 3418*u^13 + 3777*u^14 + 2295*u^15 - 380*u^16 - 596*u^17 + 38*u^18 + 138*u^19 + 39*u^20 - 6*u^21 + u^22 + 3*u^23 + u^24", "-6889\/8 - (14883*u)\/8 + (29663*u^2)\/8 + (63143*u^3)\/4 + (55565*u^4)\/4 - (123917*u^5)\/8 - (37103*u^6)\/4 + 40822*u^7 - (59221*u^8)\/8 - (336171*u^9)\/8 + (84585*u^10)\/8 - 4634*u^11 + (27025*u^12)\/8 + (6229*u^13)\/4 + (16253*u^14)\/2 - 8755*u^15 + (59147*u^16)\/8 - (36771*u^17)\/8 + (19211*u^18)\/8 - 895*u^19 + (1505*u^20)\/4 - (623*u^21)\/8 + 30*u^22 - (5*u^23)\/2 + u^24", "-1537\/8 - (4221*u)\/8 + (225*u^2)\/8 + (16305*u^3)\/4 + 16922*u^4 + (373611*u^5)\/8 + (167181*u^6)\/2 + 103877*u^7 + (982901*u^8)\/8 + (1334729*u^9)\/8 + (1562557*u^10)\/8 + (311425*u^11)\/2 + (737049*u^12)\/8 + (160199*u^13)\/4 + (86059*u^14)\/4 + (25167*u^15)\/2 + (45659*u^16)\/8 + (6965*u^17)\/8 + (2383*u^18)\/8 + 343*u^19 + (707*u^20)\/4 - (109*u^21)\/8 - 3*u^22 + (7*u^23)\/2 + u^24", "1\/8 - u\/8 - (3*u^2)\/8 - u^4\/2 + (11*u^5)\/8 + 4*u^6 - (11*u^7)\/2 - (57*u^8)\/8 + (101*u^9)\/8 + (29*u^10)\/8 - (79*u^11)\/4 + (143*u^12)\/8 + (95*u^13)\/4 - (177*u^14)\/4 - (59*u^15)\/2 + (413*u^16)\/8 + (249*u^17)\/8 - (217*u^18)\/8 - (95*u^19)\/4 + (67*u^20)\/4 + (55*u^21)\/8 - 4*u^22 - (3*u^23)\/2 + u^24", "-1\/8 + (13*u)\/8 - (77*u^2)\/8 + (57*u^3)\/2 + (19*u^4)\/2 - (1621*u^5)\/8 - 68*u^6 + 103*u^7 + (25475*u^8)\/8 + (21693*u^9)\/8 - (4785*u^10)\/8 - 5003*u^11 + (51481*u^12)\/8 - 5286*u^13 + (3945*u^14)\/2 + (11519*u^15)\/4 - (10775*u^16)\/8 + (4179*u^17)\/8 + (6471*u^18)\/8 - (449*u^19)\/2 + (261*u^20)\/2 + (99*u^21)\/8 + 3*u^22 - (5*u^23)\/2 + u^24", "823\/32 + (41157*u)\/64 + (75315*u^2)\/16 + (1198207*u^3)\/64 + (3949641*u^4)\/64 + (11318891*u^5)\/64 + (10495947*u^6)\/32 + (2463251*u^7)\/8 + 30498*u^8 - (10397669*u^9)\/64 - (226651*u^10)\/8 + (7423051*u^11)\/64 + (1888081*u^12)\/64 - (632673*u^13)\/8 - (796717*u^14)\/16 + (124555*u^15)\/8 + (196783*u^16)\/8 + (342585*u^17)\/64 - (111389*u^18)\/32 - (143189*u^19)\/64 - (16451*u^20)\/64 + (11265*u^21)\/64 + (647*u^22)\/8 + (57*u^23)\/4 + u^24", "-16 + 64*u + 152*u^2 + 8*u^3 + 615*u^4 + 3906*u^5 + 8391*u^6 + 14047*u^7 + 29069*u^8 + 41172*u^9 + 5466*u^10 - 66424*u^11 - 52433*u^12 + 132634*u^13 + 384103*u^14 + 511363*u^15 + 448628*u^16 + 285036*u^17 + 135736*u^18 + 48788*u^19 + 13077*u^20 + 2534*u^21 + 335*u^22 + 27*u^23 + u^24", "1 + 38*u + 49*u^2 + 2251*u^3 - 6514*u^4 + 5656*u^5 - 9067*u^6 + 37695*u^7 - 74686*u^8 + 78662*u^9 - 50507*u^10 + 23695*u^11 - 7427*u^12 - 7544*u^13 + 16843*u^14 - 12841*u^15 + 2581*u^16 + 3014*u^17 - 2603*u^18 + 675*u^19 + 192*u^20 - 208*u^21 + 73*u^22 - 13*u^23 + u^24", "-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24", "-3376 - 2176*u + 10124*u^2 + 99958*u^3 + 269409*u^4 + 545070*u^5 + 771549*u^6 + 843853*u^7 + 732425*u^8 + 517934*u^9 + 328968*u^10 + 112314*u^11 - 38785*u^12 - 12932*u^13 + 69029*u^14 + 103441*u^15 + 81320*u^16 + 40240*u^17 + 15280*u^18 + 4592*u^19 + 1517*u^20 + 410*u^21 + 95*u^22 + 13*u^23 + u^24", "-1907\/8 - (4441*u)\/8 + (5711*u^2)\/8 + (34535*u^3)\/4 + (63201*u^4)\/2 + (637443*u^5)\/8 + (616035*u^6)\/4 + (960341*u^7)\/4 + (2483541*u^8)\/8 + (2711045*u^9)\/8 + (2541879*u^10)\/8 + (519289*u^11)\/2 + (1502749*u^12)\/8 + (487127*u^13)\/4 + (285761*u^14)\/4 + (76239*u^15)\/2 + (148359*u^16)\/8 + (65565*u^17)\/8 + (26277*u^18)\/8 + (2341*u^19)\/2 + 378*u^20 + (823*u^21)\/8 + (53*u^22)\/2 + (9*u^23)\/2 + u^24", "-10277\/16 - (528917*u)\/64 - (379505*u^2)\/8 - (9864773*u^3)\/64 - (17692665*u^4)\/64 - (5157651*u^5)\/64 + (8784099*u^6)\/8 + (61882051*u^7)\/16 + (260737463*u^8)\/32 + (828571221*u^9)\/64 + (134585971*u^10)\/8 + (1189777983*u^11)\/64 + (1136085189*u^12)\/64 + (117218513*u^13)\/8 + (20729077*u^14)\/2 + (49653397*u^15)\/8 + (99402983*u^16)\/32 + (82078623*u^17)\/64 + 430547*u^18 + (7389715*u^19)\/64 + (1545039*u^20)\/64 + (242847*u^21)\/64 + (3379*u^22)\/8 + (119*u^23)\/4 + u^24", "1\/64 - (7*u)\/64 + u^2\/64 + (55*u^3)\/32 - (189*u^4)\/32 + (225*u^5)\/64 + (561*u^6)\/16 - (1153*u^7)\/8 + (18803*u^8)\/64 - (22021*u^9)\/64 + (13597*u^10)\/64 - (6765*u^11)\/32 + (71863*u^12)\/64 - (13917*u^13)\/4 + (106327*u^14)\/16 - 8829*u^15 + (569293*u^16)\/64 - (459175*u^17)\/64 + (307857*u^18)\/64 - (79703*u^19)\/32 + (4083*u^20)\/4 - (19633*u^21)\/64 + (561*u^22)\/8 - (41*u^23)\/4 + u^24", "-19\/8 - (55*u)\/8 + (601*u^2)\/8 - (365*u^3)\/4 + 200*u^4 - (8189*u^5)\/8 + (2257*u^6)\/2 - (2877*u^7)\/2 + (33719*u^8)\/8 - (17395*u^9)\/8 + (57681*u^10)\/8 + (3441*u^11)\/2 + (106875*u^12)\/8 + (31547*u^13)\/4 + (48347*u^14)\/4 + 4852*u^15 + (36735*u^16)\/8 + (9697*u^17)\/8 + (9251*u^18)\/8 + (1195*u^19)\/4 + 236*u^20 + (429*u^21)\/8 + (53*u^22)\/2 + (7*u^23)\/2 + u^24", "-289\/8 - (2167*u)\/8 - (6775*u^2)\/8 - (4645*u^3)\/4 + (3947*u^4)\/4 + (66225*u^5)\/8 + (71537*u^6)\/4 + (36693*u^7)\/2 + (36109*u^8)\/8 - (74841*u^9)\/8 - (80083*u^10)\/8 - (15899*u^11)\/4 + (741*u^12)\/8 + (7049*u^13)\/2 + (11473*u^14)\/2 + (13663*u^15)\/4 - 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1.5407571108157041615`4.673916202294874*I", "4.8653322712776485429`4.839993262914295 - 8.6743865747792493882`5.091119530358419*I", "4.8653322712776485429`4.839993262914295 + 8.6743865747792493882`5.091119530358419*I", "8.1532628912527514735`4.985851235694365 + 8.6848675763867991147`5.013282990763181*I", "8.1532628912527514735`4.985851235694365 - 8.6848675763867991147`5.013282990763181*I", 1.2256e1, "2.8959333103660038907`4.680780989621859 + 8.0353532439298034171`5.123997406861304*I", "2.8959333103660038907`4.680780989621859 - 8.0353532439298034171`5.123997406861304*I", "-4.639247266755311175`5.01460625216605 - 4.3269435475946392446`4.984339960732935*I", "-4.639247266755311175`5.01460625216605 + 4.3269435475946392446`4.984339960732935*I" ], "Abelian":false }, { "IdealName":"J11a_294_1", "Generators":[ "-1 - 2*a + b - 4*a*u - 6*u^2 + 2*a*u^2 + 11*u^3 + 6*a*u^3 + u^4 + 7*a*u^4 + u^5 + 14*a*u^5 + 26*u^6 - a*u^6 - 36*u^7 - 15*a*u^7 + 8*u^8 - 8*a*u^8 - 9*u^9 - 28*a*u^9 - 56*u^10 - 5*a*u^10 + 74*u^11 + 7*a*u^11 - 83*u^12 - a*u^12 + 101*u^13 + 34*a*u^13 - 52*u^14 + 59*u^15 + 25*a*u^15 - 16*u^16 + 17*u^17 + 8*a*u^17 - 2*u^18 + 2*u^19 + a*u^19", "15 + 6*a + a^2 - 11*u - 3*a*u + 20*u^2 + 8*a*u^2 - 30*u^3 - 16*a*u^3 - 36*u^4 - 10*a*u^4 + 52*u^5 + 9*a*u^5 - 103*u^6 - 38*a*u^6 + 110*u^7 + 40*a*u^7 + 45*u^8 + 8*a*u^8 - 117*u^9 - 36*a*u^9 + 327*u^10 + 124*a*u^10 - 390*u^11 - 154*a*u^11 + 388*u^12 + 168*a*u^12 - 368*u^13 - 160*a*u^13 + 217*u^14 + 104*a*u^14 - 172*u^15 - 80*a*u^15 + 61*u^16 + 32*a*u^16 - 41*u^17 - 20*a*u^17 + 7*u^18 + 4*a*u^18 - 4*u^19 - 2*a*u^19", "-1 - 2*u + u^2 - u^3 + 9*u^4 + 4*u^5 - 2*u^6 + 10*u^7 - 25*u^8 - 2*u^9 - 3*u^10 - 31*u^11 + 48*u^12 - 42*u^13 + 60*u^14 - 26*u^15 + 33*u^16 - 8*u^17 + 9*u^18 - u^19 + u^20" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.112814, "TimingZeroDimVars":0.166005, "TimingmagmaVCompNormalize":0.167508, "TimingNumberOfSols":0.300564, "TimingIsRadical":6.628e-2, "TimingArcColoring":0.120728, "TimingObstruction":0.144669, "TimingComplexVolumeN":4.4594218999999995e1, "TimingaCuspShapeN":0.304809, "TiminguValues":0.780095, "TiminguPolysN":0.175911, "TiminguPolys":2.305347, "TimingaCuspShape":0.33788, "TimingRepresentationsN":0.355351, "TiminguValues_ij":0.378971, "TiminguPolys_ij_N":0.539572 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":40, "IsRadical":true, "ArcColoring":[ [ "-2 + 2*a + u + 5*a*u + 7*u^2 - 2*a*u^2 - 2*u^3 - 8*a*u^3 + 10*u^4 - 3*a*u^4 + u^5 - 21*a*u^5 - 25*u^6 + a*u^6 + 17*u^7 + 24*a*u^7 - 26*u^8 + 3*a*u^8 - 2*u^9 + 44*a*u^9 + 38*u^10 + 13*a*u^10 - 49*u^11 - 20*a*u^11 + 76*u^12 + 24*a*u^12 - 60*u^13 - 69*a*u^13 + 51*u^14 + 19*a*u^14 - 33*u^15 - 50*a*u^15 + 16*u^16 + 7*a*u^16 - 9*u^17 - 16*a*u^17 + 2*u^18 + a*u^18 - u^19 - 2*a*u^19", "2 + 2*a + 3*a*u + 4*u^2 - a*u^2 - 11*u^3 - 4*a*u^3 - 8*u^4 - 9*a*u^4 - 5*u^5 - 7*a*u^5 - 17*u^6 + 2*a*u^6 + 30*u^7 + 6*a*u^7 + 8*u^8 + 13*a*u^8 + 17*u^9 + 12*a*u^9 + 43*u^10 - 3*a*u^10 - 51*u^11 + 6*a*u^11 + 48*u^12 - 22*a*u^12 - 82*u^13 + a*u^13 + 27*u^14 - 19*a*u^14 - 52*u^15 + 8*u^16 - 7*a*u^16 - 16*u^17 + u^18 - a*u^18 - 2*u^19" ], [ "a", "1 + 2*a + 4*a*u + 6*u^2 - 2*a*u^2 - 11*u^3 - 6*a*u^3 - u^4 - 7*a*u^4 - u^5 - 14*a*u^5 - 26*u^6 + a*u^6 + 36*u^7 + 15*a*u^7 - 8*u^8 + 8*a*u^8 + 9*u^9 + 28*a*u^9 + 56*u^10 + 5*a*u^10 - 74*u^11 - 7*a*u^11 + 83*u^12 + a*u^12 - 101*u^13 - 34*a*u^13 + 52*u^14 - 59*u^15 - 25*a*u^15 + 16*u^16 - 17*u^17 - 8*a*u^17 + 2*u^18 - 2*u^19 - a*u^19" ], [ "-2*u - u^3 + 4*u^5 + 10*u^7 - 2*u^9 - 31*u^11 - 42*u^13 - 26*u^15 - 8*u^17 - u^19", "1 + 2*u + u^2 + u^3 - 8*u^4 - 4*u^5 - 2*u^6 - 10*u^7 + 15*u^8 + 2*u^9 + 5*u^10 + 31*u^11 - 17*u^12 + 42*u^13 - 18*u^14 + 26*u^15 - 7*u^16 + 8*u^17 - u^18 + u^19" ], [ "3 - 7*u + 10*u^2 + 8*a*u^2 - 8*u^3 - 11*a*u^3 - 6*u^4 + 6*a*u^4 + 28*u^5 + 3*a*u^5 - 47*u^6 - 35*a*u^6 + 33*u^7 + 42*a*u^7 - 7*u^8 - 24*a*u^8 - 53*u^9 + a*u^9 + 105*u^10 + 69*a*u^10 - 131*u^11 - 97*a*u^11 + 143*u^12 + 118*a*u^12 - 112*u^13 - 120*a*u^13 + 85*u^14 + 77*a*u^14 - 49*u^15 - 66*a*u^15 + 25*u^16 + 24*a*u^16 - 11*u^17 - 18*a*u^17 + 3*u^18 + 3*a*u^18 - u^19 - 2*a*u^19", "2 - 2*u - a*u + u^2 - 6*u^3 - 2*u^4 + 2*u^5 - 5*u^6 + 18*u^7 + 10*u^8 - 4*u^9 + 42*u^10 - 62*u^11 + 58*u^12 - 84*u^13 + 40*u^14 - 52*u^15 + 14*u^16 - 16*u^17 + 2*u^18 - 2*u^19" ], [ "7 + a - 10*u - a*u + 14*u^2 + 6*a*u^2 - 20*u^3 - 9*a*u^3 - 11*u^4 - a*u^4 + 29*u^5 + 2*a*u^5 - 64*u^6 - 26*a*u^6 + 72*u^7 + 37*a*u^7 - 8*a*u^8 - 57*u^9 + 9*a*u^9 + 180*u^10 + 56*a*u^10 - 252*u^11 - 74*a*u^11 + 251*u^12 + 83*a*u^12 - 269*u^13 - 101*a*u^13 + 156*u^14 + 52*a*u^14 - 140*u^15 - 59*a*u^15 + 48*u^16 + 16*a*u^16 - 37*u^17 - 17*a*u^17 + 6*u^18 + 2*a*u^18 - 4*u^19 - 2*a*u^19", "3 + 2*a + 4*u + 2*a*u - u^2 - 7*a*u^2 - 6*u^3 + 4*a*u^3 - 11*u^4 - 10*a*u^4 - 14*u^5 - 5*a*u^5 - u^6 + 25*a*u^6 + 15*u^7 - 21*a*u^7 + 18*u^8 + 26*a*u^8 + 28*u^9 + a*u^9 + 18*u^10 - 38*a*u^10 - 7*u^11 + 49*a*u^11 + 7*u^12 - 76*a*u^12 - 34*u^13 + 60*a*u^13 + u^14 - 51*a*u^14 - 25*u^15 + 33*a*u^15 - 16*a*u^16 - 8*u^17 + 9*a*u^17 - 2*a*u^18 - u^19 + a*u^19" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-2*u^2 - u^4" ], [ "-2*u - u^3", "u + u^3" ], [ "-u", "u + u^3" ], [ 0, "u" ] ], "Obstruction":-1, "ComplexVolumeN":[ "2.02098 - 2.13456*I", "2.02098 - 2.13456*I", "2.02098 + 2.13456*I", "2.02098 + 2.13456*I", "4.77271 + 6.0724*I", "4.77271 + 6.0724*I", "4.77271 - 6.0724*I", "4.77271 - 6.0724*I", 8.84775, 8.84775, "0.52569 - 2.16136*I", "0.52569 - 2.16136*I", "0.52569 + 2.16136*I", "0.52569 + 2.16136*I", "3.61438 - 0.81573*I", "3.61438 - 0.81573*I", "3.61438 + 0.81573*I", "3.61438 + 0.81573*I", "4.94645 + 3.96853*I", "4.94645 + 3.96853*I", "4.94645 - 3.96853*I", "4.94645 - 3.96853*I", "1.62333 - 2.35832*I", "1.62333 - 2.35832*I", "1.62333 + 2.35832*I", "1.62333 + 2.35832*I", "-1.14075 - 4.43308*I", "-1.14075 - 4.43308*I", "-1.14075 + 4.43308*I", "-1.14075 + 4.43308*I", "0.00745 + 10.0577*I", "0.00745 + 10.0577*I", "0.00745 - 10.0577*I", "0.00745 - 10.0577*I", "-4.68486 - 2.84648*I", "-4.68486 - 2.84648*I", "-4.68486 + 2.84648*I", "-4.68486 + 2.84648*I", 3.97005, 3.97005 ], "uPolysN":[ "13049 - 60100*u + 70200*u^2 + 157428*u^3 - 470476*u^4 + 24871*u^5 + 1110889*u^6 - 726756*u^7 - 1606952*u^8 + 1727929*u^9 + 1714229*u^10 - 2566817*u^11 - 1482385*u^12 + 2910729*u^13 + 1112107*u^14 - 2710233*u^15 - 764125*u^16 + 2139950*u^17 + 494888*u^18 - 1447488*u^19 - 304622*u^20 + 842441*u^21 + 174135*u^22 - 422002*u^23 - 89518*u^24 + 181626*u^25 + 40908*u^26 - 68010*u^27 - 15734*u^28 + 22222*u^29 + 4936*u^30 - 6470*u^31 - 1050*u^32 + 1593*u^33 + 125*u^34 - 341*u^35 + 37*u^36 + 36*u^37 - 6*u^38 - 3*u^39 + u^40", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40", "13049 - 60100*u + 70200*u^2 + 157428*u^3 - 470476*u^4 + 24871*u^5 + 1110889*u^6 - 726756*u^7 - 1606952*u^8 + 1727929*u^9 + 1714229*u^10 - 2566817*u^11 - 1482385*u^12 + 2910729*u^13 + 1112107*u^14 - 2710233*u^15 - 764125*u^16 + 2139950*u^17 + 494888*u^18 - 1447488*u^19 - 304622*u^20 + 842441*u^21 + 174135*u^22 - 422002*u^23 - 89518*u^24 + 181626*u^25 + 40908*u^26 - 68010*u^27 - 15734*u^28 + 22222*u^29 + 4936*u^30 - 6470*u^31 - 1050*u^32 + 1593*u^33 + 125*u^34 - 341*u^35 + 37*u^36 + 36*u^37 - 6*u^38 - 3*u^39 + u^40", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40", "1 - 4*u + 2*u^2 + 2*u^3 - 13*u^4 + 46*u^5 + 7*u^6 + 22*u^7 + 79*u^8 - 200*u^9 - 76*u^10 - 284*u^11 - 340*u^12 + 440*u^13 + 336*u^14 + 1442*u^15 + 1455*u^16 + 496*u^17 + 218*u^18 - 2586*u^19 - 2925*u^20 - 3494*u^21 - 2709*u^22 + 920*u^23 + 2816*u^24 + 7136*u^25 + 8496*u^26 + 9500*u^27 + 9348*u^28 + 7216*u^29 + 6228*u^30 + 3590*u^31 + 2765*u^32 + 1200*u^33 + 830*u^34 + 262*u^35 + 163*u^36 + 34*u^37 + 19*u^38 + 2*u^39 + u^40", "1 - 4*u + 2*u^2 + 2*u^3 - 13*u^4 + 46*u^5 + 7*u^6 + 22*u^7 + 79*u^8 - 200*u^9 - 76*u^10 - 284*u^11 - 340*u^12 + 440*u^13 + 336*u^14 + 1442*u^15 + 1455*u^16 + 496*u^17 + 218*u^18 - 2586*u^19 - 2925*u^20 - 3494*u^21 - 2709*u^22 + 920*u^23 + 2816*u^24 + 7136*u^25 + 8496*u^26 + 9500*u^27 + 9348*u^28 + 7216*u^29 + 6228*u^30 + 3590*u^31 + 2765*u^32 + 1200*u^33 + 830*u^34 + 262*u^35 + 163*u^36 + 34*u^37 + 19*u^38 + 2*u^39 + u^40", "1 - 6*u^2 + 10*u^3 + 15*u^4 - 50*u^5 + 3*u^6 + 126*u^7 - 81*u^8 - 236*u^9 + 288*u^10 + 328*u^11 - 664*u^12 - 300*u^13 + 1160*u^14 + 86*u^15 - 1665*u^16 + 332*u^17 + 1998*u^18 - 854*u^19 - 2025*u^20 + 1298*u^21 + 1735*u^22 - 1512*u^23 - 1236*u^24 + 1428*u^25 + 712*u^26 - 1120*u^27 - 308*u^28 + 732*u^29 + 76*u^30 - 394*u^31 + 13*u^32 + 172*u^33 - 26*u^34 - 58*u^35 + 15*u^36 + 14*u^37 - 5*u^38 - 2*u^39 + u^40", "1 - 8*u + 26*u^2 - 58*u^3 + 119*u^4 - 118*u^5 - 121*u^6 + 246*u^7 - 73*u^8 + 232*u^9 + 1284*u^10 - 3732*u^11 - 3232*u^12 + 11332*u^13 + 5136*u^14 - 20010*u^15 - 6045*u^16 + 23328*u^17 + 5478*u^18 - 17330*u^19 - 4209*u^20 + 5922*u^21 + 3171*u^22 + 2832*u^23 - 2316*u^24 - 5060*u^25 + 1288*u^26 + 3156*u^27 - 336*u^28 - 940*u^29 - 160*u^30 - 46*u^31 + 225*u^32 + 172*u^33 - 126*u^34 - 78*u^35 + 43*u^36 + 18*u^37 - 9*u^38 - 2*u^39 + u^40", "1 - 4*u + 2*u^2 + 2*u^3 - 13*u^4 + 46*u^5 + 7*u^6 + 22*u^7 + 79*u^8 - 200*u^9 - 76*u^10 - 284*u^11 - 340*u^12 + 440*u^13 + 336*u^14 + 1442*u^15 + 1455*u^16 + 496*u^17 + 218*u^18 - 2586*u^19 - 2925*u^20 - 3494*u^21 - 2709*u^22 + 920*u^23 + 2816*u^24 + 7136*u^25 + 8496*u^26 + 9500*u^27 + 9348*u^28 + 7216*u^29 + 6228*u^30 + 3590*u^31 + 2765*u^32 + 1200*u^33 + 830*u^34 + 262*u^35 + 163*u^36 + 34*u^37 + 19*u^38 + 2*u^39 + u^40", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40" ], "uPolys":[ "13049 - 60100*u + 70200*u^2 + 157428*u^3 - 470476*u^4 + 24871*u^5 + 1110889*u^6 - 726756*u^7 - 1606952*u^8 + 1727929*u^9 + 1714229*u^10 - 2566817*u^11 - 1482385*u^12 + 2910729*u^13 + 1112107*u^14 - 2710233*u^15 - 764125*u^16 + 2139950*u^17 + 494888*u^18 - 1447488*u^19 - 304622*u^20 + 842441*u^21 + 174135*u^22 - 422002*u^23 - 89518*u^24 + 181626*u^25 + 40908*u^26 - 68010*u^27 - 15734*u^28 + 22222*u^29 + 4936*u^30 - 6470*u^31 - 1050*u^32 + 1593*u^33 + 125*u^34 - 341*u^35 + 37*u^36 + 36*u^37 - 6*u^38 - 3*u^39 + u^40", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40", "13049 - 60100*u + 70200*u^2 + 157428*u^3 - 470476*u^4 + 24871*u^5 + 1110889*u^6 - 726756*u^7 - 1606952*u^8 + 1727929*u^9 + 1714229*u^10 - 2566817*u^11 - 1482385*u^12 + 2910729*u^13 + 1112107*u^14 - 2710233*u^15 - 764125*u^16 + 2139950*u^17 + 494888*u^18 - 1447488*u^19 - 304622*u^20 + 842441*u^21 + 174135*u^22 - 422002*u^23 - 89518*u^24 + 181626*u^25 + 40908*u^26 - 68010*u^27 - 15734*u^28 + 22222*u^29 + 4936*u^30 - 6470*u^31 - 1050*u^32 + 1593*u^33 + 125*u^34 - 341*u^35 + 37*u^36 + 36*u^37 - 6*u^38 - 3*u^39 + u^40", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40", "(-1 + 2*u + u^2 + u^3 + 9*u^4 - 4*u^5 - 2*u^6 - 10*u^7 - 25*u^8 + 2*u^9 - 3*u^10 + 31*u^11 + 48*u^12 + 42*u^13 + 60*u^14 + 26*u^15 + 33*u^16 + 8*u^17 + 9*u^18 + u^19 + u^20)^2", "(-1 + 2*u + u^2 + u^3 + 9*u^4 - 4*u^5 - 2*u^6 - 10*u^7 - 25*u^8 + 2*u^9 - 3*u^10 + 31*u^11 + 48*u^12 + 42*u^13 + 60*u^14 + 26*u^15 + 33*u^16 + 8*u^17 + 9*u^18 + u^19 + u^20)^2", "(-1 + 3*u^2 - 5*u^3 - 3*u^4 + 10*u^5 + 2*u^6 - 18*u^7 + u^8 + 24*u^9 - 7*u^10 - 23*u^11 + 10*u^12 + 18*u^13 - 10*u^14 - 10*u^15 + 7*u^16 + 4*u^17 - 3*u^18 - u^19 + u^20)^2", "(-1 + 4*u - 5*u^2 + 9*u^3 - 11*u^4 - 30*u^5 + 36*u^6 + 72*u^7 - 65*u^8 - 82*u^9 + 57*u^10 + 47*u^11 - 16*u^12 - 8*u^13 - 12*u^14 - 6*u^15 + 13*u^16 + 4*u^17 - 5*u^18 - u^19 + u^20)^2", "(-1 + 2*u + u^2 + u^3 + 9*u^4 - 4*u^5 - 2*u^6 - 10*u^7 - 25*u^8 + 2*u^9 - 3*u^10 + 31*u^11 + 48*u^12 + 42*u^13 + 60*u^14 + 26*u^15 + 33*u^16 + 8*u^17 + 9*u^18 + u^19 + u^20)^2", "1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40" ], "aCuspShape":"10 + 4*u + 16*u^2 - 8*u^3 - 4*u^4 + 4*u^5 - 60*u^6 + 20*u^7 - 28*u^8 - 32*u^9 + 104*u^10 - 92*u^11 + 164*u^12 - 76*u^13 + 104*u^14 - 28*u^15 + 32*u^16 - 4*u^17 + 4*u^18", "RepresentationsN":[ [ "u->0.274747 + 1.0696 I", "a->-0.650977 - 1.00938 I", "b->0.31766 + 1.39547 I" ], [ "u->0.274747 + 1.0696 I", "a->-0.084213 - 0.753588 I", "b->-0.91813 - 0.259874 I" ], [ "u->0.274747 - 1.0696 I", "a->-0.650977 + 1.00938 I", "b->0.31766 - 1.39547 I" ], [ "u->0.274747 - 1.0696 I", "a->-0.084213 + 0.753588 I", "b->-0.91813 + 0.259874 I" ], [ "u->0.773104 + 0.153161 I", "a->0.829907 - 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u)\/2" ], [ "(5 + 2*u + 2*u^2)\/2", -1 ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-1 - u - u^2" ], [ "1 + u^2", "-1 - u - u^2" ], [ "-u", "-1 - u - u^2" ], [ 0, "u" ] ], "Obstruction":1, "ComplexVolumeN":[ "-4.66906 - 2.82812*I", "-4.66906 + 2.82812*I", -0.53148 ], "uPolysN":[ "-1\/8 + u^2\/2 + u^3", "-1 + 3*u - 3*u^2 + u^3", "1 + 3*u + 3*u^2 + u^3", "1\/8 - u^2\/2 + u^3", "1 + 3*u + 3*u^2 + u^3", "1 + 2*u + 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 + 3*u - 3*u^2 + u^3" ], "uPolys":[ "8*(-1 + 4*u^2 + 8*u^3)", "(-1 + u)^3", "(1 + u)^3", "8*(1 - 4*u^2 + 8*u^3)", "(1 + u)^3", "1 + 2*u + 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 + u)^3" ], "aCuspShape":"3 + (-20 + u)\/4", "RepresentationsN":[ [ "u->-0.21508 + 1.30714 I", "a->-0.377439 + 0.744862 I", "b->-1." ], [ "u->-0.21508 - 1.30714 I", "a->-0.377439 - 0.744862 I", "b->-1." ], [ "u->-0.56984", "a->1.25488", "b->-1." ] ], "Epsilon":2.24805, "uPolys_ij":[ "(2 + u)^3", "(1 + u)^3", "u^3", "(-1 + u)^3", "(-2 + u)^3", "8*(7 + 20*u + 20*u^2 + 8*u^3)", "8*(-17 + 36*u - 28*u^2 + 8*u^3)", "64*(-89 + 232*u - 208*u^2 + 64*u^3)", "64*(-55 + 168*u - 176*u^2 + 64*u^3)", "8*(17 + 36*u + 28*u^2 + 8*u^3)", "8*(-7 + 20*u - 20*u^2 + 8*u^3)", "64*(1 + 8*u + 16*u^2 + 64*u^3)", "1 + 2*u + u^2 + u^3", "1 + 2*u - 3*u^2 + u^3", "8*(-5 + 36*u - 12*u^2 + 8*u^3)", "-8 + 12*u - 4*u^2 + u^3", "8 - 2*u^2 + u^3", "8*(27 - 12*u^2 + 8*u^3)", "8*(23 - 20*u^2 + 8*u^3)", "1 - u^2 + u^3", "8*(5 + 8*u + 4*u^2 + 8*u^3)", "8*(1 - 4*u^2 + 8*u^3)", "8*(-11 + 48*u - 28*u^2 + 8*u^3)", "8*(-1 + 4*u^2 + 8*u^3)", "8*(-5 + 8*u - 4*u^2 + 8*u^3)" ], "GeometricComponent":0, "uPolys_ij_N":[ "8 + 12*u + 6*u^2 + u^3", "1 + 3*u + 3*u^2 + u^3", "u^3", "-1 + 3*u - 3*u^2 + u^3", "-8 + 12*u - 6*u^2 + u^3", "7\/8 + (5*u)\/2 + (5*u^2)\/2 + u^3", "-17\/8 + (9*u)\/2 - (7*u^2)\/2 + u^3", "-89\/64 + (29*u)\/8 - (13*u^2)\/4 + u^3", "-55\/64 + (21*u)\/8 - (11*u^2)\/4 + u^3", "17\/8 + (9*u)\/2 + (7*u^2)\/2 + u^3", "-7\/8 + (5*u)\/2 - (5*u^2)\/2 + u^3", "1\/64 + u\/8 + u^2\/4 + u^3", "1 + 2*u + u^2 + u^3", "1 + 2*u - 3*u^2 + u^3", "-5\/8 + (9*u)\/2 - (3*u^2)\/2 + u^3", "-8 + 12*u - 4*u^2 + u^3", "8 - 2*u^2 + u^3", "27\/8 - (3*u^2)\/2 + u^3", "23\/8 - (5*u^2)\/2 + u^3", "1 - u^2 + u^3", "5\/8 + u + u^2\/2 + u^3", "1\/8 - u^2\/2 + u^3", "-11\/8 + 6*u - (7*u^2)\/2 + u^3", "-1\/8 + u^2\/2 + u^3", "-5\/8 + u - u^2\/2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{3, 11}" ], [ "{1, 11}", "{4, 11}" ], [ "{3, 8}", "{3, 9}", "{8, 9}" ], [ "{1, 3}", "{1, 4}", "{2, 3}", "{2, 5}", "{2, 6}", "{3, 4}", "{3, 5}", "{5, 6}" ], [ "{3, 6}" ], [ "{2, 11}" ], [ "{1, 6}" ], [ "{1, 5}" ], [ "{2, 4}" ], [ "{5, 11}" ], [ "{1, 7}", "{4, 6}" ], [ "{1, 2}", "{4, 5}" ], [ "{6, 11}", "{7, 10}", "{7, 11}", "{8, 10}", "{9, 10}" ], [ "{6, 7}", "{7, 8}", "{7, 9}", "{10, 11}" ], [ "{4, 7}" ], [ "{3, 7}" ], [ "{3, 10}" ], [ "{5, 10}" ], [ "{4, 10}" ], [ "{6, 8}", "{6, 9}", "{6, 10}", "{8, 11}", "{9, 11}" ], [ "{1, 10}" ], [ "{2, 10}", "{4, 8}", "{4, 9}", "{5, 8}", "{5, 9}" ], [ "{5, 7}" ], [ "{1, 8}", "{1, 9}", "{2, 8}", "{2, 9}" ], [ "{2, 7}" ] ], "SortedReprnIndices":"{2, 1, 3}", "aCuspShapeN":[ "-2.0537699636252433417`5.145085804697683 + 0.3267853196705113701`4.346796544969011*I", "-2.0537699636252433417`5.145085804697683 - 0.3267853196705113701`4.346796544969011*I", -2.1425 ], "Abelian":false }, { "IdealName":"abJ11a_294_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":0.109537, "TimingZeroDimVars":9.8753e-2, "TimingmagmaVCompNormalize":0.100173, "TimingNumberOfSols":4.0601000000000005e-2, "TimingIsRadical":2.8e-3, "TimingArcColoring":0.105038, "TimingObstruction":4.2300000000000004e-4, "TimingComplexVolumeN":0.491284, "TimingaCuspShapeN":4.971000000000002e-3, "TiminguValues":0.68989, "TiminguPolysN":8.0e-5, "TiminguPolys":0.894756, "TimingaCuspShape":9.7206e-2, "TimingRepresentationsN":3.7684e-2, "TiminguValues_ij":0.258202, "TiminguPoly_ij":0.218512, "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}", "{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":[ "64*(-1 + 4*u^2 + 8*u^3)*(1 - u - 3*u^2 - 4*u^4 + 11*u^5 + 32*u^6 - 44*u^7 - 57*u^8 + 101*u^9 + 29*u^10 - 158*u^11 + 143*u^12 + 190*u^13 - 354*u^14 - 236*u^15 + 413*u^16 + 249*u^17 - 217*u^18 - 190*u^19 + 134*u^20 + 55*u^21 - 32*u^22 - 12*u^23 + 8*u^24)*(13049 - 60100*u + 70200*u^2 + 157428*u^3 - 470476*u^4 + 24871*u^5 + 1110889*u^6 - 726756*u^7 - 1606952*u^8 + 1727929*u^9 + 1714229*u^10 - 2566817*u^11 - 1482385*u^12 + 2910729*u^13 + 1112107*u^14 - 2710233*u^15 - 764125*u^16 + 2139950*u^17 + 494888*u^18 - 1447488*u^19 - 304622*u^20 + 842441*u^21 + 174135*u^22 - 422002*u^23 - 89518*u^24 + 181626*u^25 + 40908*u^26 - 68010*u^27 - 15734*u^28 + 22222*u^29 + 4936*u^30 - 6470*u^31 - 1050*u^32 + 1593*u^33 + 125*u^34 - 341*u^35 + 37*u^36 + 36*u^37 - 6*u^38 - 3*u^39 + u^40)", "(-1 + u)^3*(-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24)*(1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40)", "(1 + u)^3*(-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24)*(1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40)", "64*(1 - 4*u^2 + 8*u^3)*(1 - u - 3*u^2 - 4*u^4 + 11*u^5 + 32*u^6 - 44*u^7 - 57*u^8 + 101*u^9 + 29*u^10 - 158*u^11 + 143*u^12 + 190*u^13 - 354*u^14 - 236*u^15 + 413*u^16 + 249*u^17 - 217*u^18 - 190*u^19 + 134*u^20 + 55*u^21 - 32*u^22 - 12*u^23 + 8*u^24)*(13049 - 60100*u + 70200*u^2 + 157428*u^3 - 470476*u^4 + 24871*u^5 + 1110889*u^6 - 726756*u^7 - 1606952*u^8 + 1727929*u^9 + 1714229*u^10 - 2566817*u^11 - 1482385*u^12 + 2910729*u^13 + 1112107*u^14 - 2710233*u^15 - 764125*u^16 + 2139950*u^17 + 494888*u^18 - 1447488*u^19 - 304622*u^20 + 842441*u^21 + 174135*u^22 - 422002*u^23 - 89518*u^24 + 181626*u^25 + 40908*u^26 - 68010*u^27 - 15734*u^28 + 22222*u^29 + 4936*u^30 - 6470*u^31 - 1050*u^32 + 1593*u^33 + 125*u^34 - 341*u^35 + 37*u^36 + 36*u^37 - 6*u^38 - 3*u^39 + u^40)", "(1 + u)^3*(-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24)*(1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40)", "(1 + 2*u + u^2 + u^3)*(-1 + 2*u + u^2 + u^3 + 9*u^4 - 4*u^5 - 2*u^6 - 10*u^7 - 25*u^8 + 2*u^9 - 3*u^10 + 31*u^11 + 48*u^12 + 42*u^13 + 60*u^14 + 26*u^15 + 33*u^16 + 8*u^17 + 9*u^18 + u^19 + u^20)^2*(-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24)", "(1 + 2*u + u^2 + u^3)*(-1 + 2*u + u^2 + u^3 + 9*u^4 - 4*u^5 - 2*u^6 - 10*u^7 - 25*u^8 + 2*u^9 - 3*u^10 + 31*u^11 + 48*u^12 + 42*u^13 + 60*u^14 + 26*u^15 + 33*u^16 + 8*u^17 + 9*u^18 + u^19 + u^20)^2*(-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24)", "u^3*(-1 + 3*u^2 - 5*u^3 - 3*u^4 + 10*u^5 + 2*u^6 - 18*u^7 + u^8 + 24*u^9 - 7*u^10 - 23*u^11 + 10*u^12 + 18*u^13 - 10*u^14 - 10*u^15 + 7*u^16 + 4*u^17 - 3*u^18 - u^19 + u^20)^2*(128 + 224*u - 688*u^2 - 1922*u^3 - 1427*u^4 + 752*u^5 + 5483*u^6 + 6193*u^7 - 117*u^8 + 7544*u^9 + 18642*u^10 + 4570*u^11 - 8183*u^12 - 3418*u^13 + 3777*u^14 + 2295*u^15 - 380*u^16 - 596*u^17 + 38*u^18 + 138*u^19 + 39*u^20 - 6*u^21 + u^22 + 3*u^23 + u^24)", "(-1 + u^2 + u^3)*(-1 + 4*u - 5*u^2 + 9*u^3 - 11*u^4 - 30*u^5 + 36*u^6 + 72*u^7 - 65*u^8 - 82*u^9 + 57*u^10 + 47*u^11 - 16*u^12 - 8*u^13 - 12*u^14 - 6*u^15 + 13*u^16 + 4*u^17 - 5*u^18 - u^19 + u^20)^2*(-676 - 1079*u + 160*u^2 + 7784*u^3 - 3370*u^4 - 5082*u^5 + 6558*u^6 + 2034*u^7 - 2629*u^8 - 2325*u^9 + 4922*u^10 + 602*u^11 - 1718*u^12 - 573*u^13 + 784*u^14 + 587*u^15 - 22*u^16 - 297*u^17 - 2*u^18 + 60*u^19 + 18*u^20 - 2*u^21 - 6*u^22 + u^24)", "(-1 + 2*u - u^2 + u^3)*(-1 + 2*u + u^2 + u^3 + 9*u^4 - 4*u^5 - 2*u^6 - 10*u^7 - 25*u^8 + 2*u^9 - 3*u^10 + 31*u^11 + 48*u^12 + 42*u^13 + 60*u^14 + 26*u^15 + 33*u^16 + 8*u^17 + 9*u^18 + u^19 + u^20)^2*(-4 - 15*u - 16*u^2 + 40*u^3 + 74*u^4 + 98*u^5 + 150*u^6 + 58*u^7 + 87*u^8 + 19*u^9 - 32*u^10 + 22*u^11 - 64*u^12 + 19*u^13 + 20*u^14 + 7*u^15 + 100*u^16 + u^17 + 92*u^18 + 42*u^20 + 10*u^22 + u^24)", "(-1 + u)^3*(-1 + 6*u + u^2 - 9*u^3 + 30*u^4 + 132*u^5 + 323*u^6 + 687*u^7 + 1096*u^8 + 1530*u^9 + 1905*u^10 + 2083*u^11 + 2071*u^12 + 1888*u^13 + 1551*u^14 + 1175*u^15 + 823*u^16 + 514*u^17 + 301*u^18 + 159*u^19 + 72*u^20 + 32*u^21 + 11*u^22 + 3*u^23 + u^24)*(1 - 2*u + 2*u^2 - 22*u^3 + 62*u^4 - 7*u^5 - 341*u^6 + 1264*u^7 - 2680*u^8 + 2965*u^9 + 2135*u^10 - 20615*u^11 + 64305*u^12 - 146071*u^13 + 275999*u^14 - 456363*u^15 + 676937*u^16 - 915166*u^17 + 1139022*u^18 - 1313920*u^19 + 1412144*u^20 - 1418859*u^21 + 1336127*u^22 - 1181446*u^23 + 981782*u^24 - 767244*u^25 + 563804*u^26 - 389318*u^27 + 252398*u^28 - 153312*u^29 + 87064*u^30 - 46070*u^31 + 22606*u^32 - 10237*u^33 + 4237*u^34 - 1589*u^35 + 531*u^36 - 154*u^37 + 38*u^38 - 7*u^39 + u^40)" ], "RileyPolyC":[ "4096*(-1 + 8*y - 16*y^2 + 64*y^3)*(1 - 7*y + y^2 + 110*y^3 - 378*y^4 + 225*y^5 + 2244*y^6 - 9224*y^7 + 18803*y^8 - 22021*y^9 + 13597*y^10 - 13530*y^11 + 71863*y^12 - 222672*y^13 + 425308*y^14 - 565056*y^15 + 569293*y^16 - 459175*y^17 + 307857*y^18 - 159406*y^19 + 65328*y^20 - 19633*y^21 + 4488*y^22 - 656*y^23 + 64*y^24)*(170276401 - 1779930400*y + 11572402952*y^2 - 58856930262*y^3 + 240191394104*y^4 - 790269352391*y^5 + 2131699616823*y^6 - 4818478460880*y^7 + 9318995479774*y^8 - 15694573000201*y^9 + 23342599058291*y^10 - 30994511672493*y^11 + 37049649550175*y^12 - 40131785793473*y^13 + 39600088884263*y^14 - 35753862358433*y^15 + 29647617499805*y^16 - 22649744559194*y^17 + 15983665766310*y^18 - 10441138657488*y^19 + 6324277965990*y^20 - 3556714875385*y^21 + 1859213359361*y^22 - 904096287726*y^23 + 409201191934*y^24 - 172389587742*y^25 + 67545206270*y^26 - 24564631778*y^27 + 8261893998*y^28 - 2555754282*y^29 + 721849562*y^30 - 184501518*y^31 + 42257552*y^32 - 8584845*y^33 + 1532823*y^34 - 238075*y^35 + 31879*y^36 - 3536*y^37 + 326*y^38 - 21*y^39 + y^40)", "(-1 + y)^3*(1 - 38*y + 49*y^2 - 2251*y^3 - 6514*y^4 - 5656*y^5 - 9067*y^6 - 37695*y^7 - 74686*y^8 - 78662*y^9 - 50507*y^10 - 23695*y^11 - 7427*y^12 + 7544*y^13 + 16843*y^14 + 12841*y^15 + 2581*y^16 - 3014*y^17 - 2603*y^18 - 675*y^19 + 192*y^20 + 208*y^21 + 73*y^22 + 13*y^23 + y^24)*(1 + 40*y^2 - 946*y^3 + 1868*y^4 + 18693*y^5 - 13193*y^6 - 145812*y^7 + 121314*y^8 + 1447923*y^9 + 2575043*y^10 + 1724463*y^11 + 2581807*y^12 + 10270719*y^13 + 15581211*y^14 + 733559*y^15 - 25893547*y^16 - 26132098*y^17 + 12948598*y^18 + 46826024*y^19 + 28704942*y^20 - 23869065*y^21 - 51714599*y^22 - 29926846*y^23 + 10290258*y^24 + 29179386*y^25 + 20271554*y^26 + 2881878*y^27 - 6565810*y^28 - 6468438*y^29 - 2859246*y^30 - 253034*y^31 + 556840*y^32 + 457891*y^33 + 212287*y^34 + 68981*y^35 + 16455*y^36 + 2868*y^37 + 350*y^38 + 27*y^39 + y^40)", "(-1 + y)^3*(1 - 38*y + 49*y^2 - 2251*y^3 - 6514*y^4 - 5656*y^5 - 9067*y^6 - 37695*y^7 - 74686*y^8 - 78662*y^9 - 50507*y^10 - 23695*y^11 - 7427*y^12 + 7544*y^13 + 16843*y^14 + 12841*y^15 + 2581*y^16 - 3014*y^17 - 2603*y^18 - 675*y^19 + 192*y^20 + 208*y^21 + 73*y^22 + 13*y^23 + y^24)*(1 + 40*y^2 - 946*y^3 + 1868*y^4 + 18693*y^5 - 13193*y^6 - 145812*y^7 + 121314*y^8 + 1447923*y^9 + 2575043*y^10 + 1724463*y^11 + 2581807*y^12 + 10270719*y^13 + 15581211*y^14 + 733559*y^15 - 25893547*y^16 - 26132098*y^17 + 12948598*y^18 + 46826024*y^19 + 28704942*y^20 - 23869065*y^21 - 51714599*y^22 - 29926846*y^23 + 10290258*y^24 + 29179386*y^25 + 20271554*y^26 + 2881878*y^27 - 6565810*y^28 - 6468438*y^29 - 2859246*y^30 - 253034*y^31 + 556840*y^32 + 457891*y^33 + 212287*y^34 + 68981*y^35 + 16455*y^36 + 2868*y^37 + 350*y^38 + 27*y^39 + y^40)", "4096*(-1 + 8*y - 16*y^2 + 64*y^3)*(1 - 7*y + y^2 + 110*y^3 - 378*y^4 + 225*y^5 + 2244*y^6 - 9224*y^7 + 18803*y^8 - 22021*y^9 + 13597*y^10 - 13530*y^11 + 71863*y^12 - 222672*y^13 + 425308*y^14 - 565056*y^15 + 569293*y^16 - 459175*y^17 + 307857*y^18 - 159406*y^19 + 65328*y^20 - 19633*y^21 + 4488*y^22 - 656*y^23 + 64*y^24)*(170276401 - 1779930400*y + 11572402952*y^2 - 58856930262*y^3 + 240191394104*y^4 - 790269352391*y^5 + 2131699616823*y^6 - 4818478460880*y^7 + 9318995479774*y^8 - 15694573000201*y^9 + 23342599058291*y^10 - 30994511672493*y^11 + 37049649550175*y^12 - 40131785793473*y^13 + 39600088884263*y^14 - 35753862358433*y^15 + 29647617499805*y^16 - 22649744559194*y^17 + 15983665766310*y^18 - 10441138657488*y^19 + 6324277965990*y^20 - 3556714875385*y^21 + 1859213359361*y^22 - 904096287726*y^23 + 409201191934*y^24 - 172389587742*y^25 + 67545206270*y^26 - 24564631778*y^27 + 8261893998*y^28 - 2555754282*y^29 + 721849562*y^30 - 184501518*y^31 + 42257552*y^32 - 8584845*y^33 + 1532823*y^34 - 238075*y^35 + 31879*y^36 - 3536*y^37 + 326*y^38 - 21*y^39 + y^40)", "(-1 + y)^3*(1 - 38*y + 49*y^2 - 2251*y^3 - 6514*y^4 - 5656*y^5 - 9067*y^6 - 37695*y^7 - 74686*y^8 - 78662*y^9 - 50507*y^10 - 23695*y^11 - 7427*y^12 + 7544*y^13 + 16843*y^14 + 12841*y^15 + 2581*y^16 - 3014*y^17 - 2603*y^18 - 675*y^19 + 192*y^20 + 208*y^21 + 73*y^22 + 13*y^23 + y^24)*(1 + 40*y^2 - 946*y^3 + 1868*y^4 + 18693*y^5 - 13193*y^6 - 145812*y^7 + 121314*y^8 + 1447923*y^9 + 2575043*y^10 + 1724463*y^11 + 2581807*y^12 + 10270719*y^13 + 15581211*y^14 + 733559*y^15 - 25893547*y^16 - 26132098*y^17 + 12948598*y^18 + 46826024*y^19 + 28704942*y^20 - 23869065*y^21 - 51714599*y^22 - 29926846*y^23 + 10290258*y^24 + 29179386*y^25 + 20271554*y^26 + 2881878*y^27 - 6565810*y^28 - 6468438*y^29 - 2859246*y^30 - 253034*y^31 + 556840*y^32 + 457891*y^33 + 212287*y^34 + 68981*y^35 + 16455*y^36 + 2868*y^37 + 350*y^38 + 27*y^39 + y^40)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 6*y - 21*y^2 + 37*y^3 + 175*y^4 - 84*y^5 - 756*y^6 - 292*y^7 + 1655*y^8 + 1954*y^9 - 1117*y^10 - 3803*y^11 - 2264*y^12 + 1720*y^13 + 3980*y^14 + 3408*y^15 + 1765*y^16 + 598*y^17 + 131*y^18 + 17*y^19 + y^20)^2*(16 - 97*y + 864*y^2 - 2228*y^3 - 6120*y^4 + 5998*y^5 + 24684*y^6 + 14974*y^7 - 20769*y^8 - 32911*y^9 + 2916*y^10 + 47554*y^11 + 52486*y^12 + 20389*y^13 - 8142*y^14 - 8511*y^15 + 7824*y^16 + 18735*y^17 + 17136*y^18 + 9768*y^19 + 3804*y^20 + 1024*y^21 + 184*y^22 + 20*y^23 + y^24)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 6*y - 21*y^2 + 37*y^3 + 175*y^4 - 84*y^5 - 756*y^6 - 292*y^7 + 1655*y^8 + 1954*y^9 - 1117*y^10 - 3803*y^11 - 2264*y^12 + 1720*y^13 + 3980*y^14 + 3408*y^15 + 1765*y^16 + 598*y^17 + 131*y^18 + 17*y^19 + y^20)^2*(16 - 97*y + 864*y^2 - 2228*y^3 - 6120*y^4 + 5998*y^5 + 24684*y^6 + 14974*y^7 - 20769*y^8 - 32911*y^9 + 2916*y^10 + 47554*y^11 + 52486*y^12 + 20389*y^13 - 8142*y^14 - 8511*y^15 + 7824*y^16 + 18735*y^17 + 17136*y^18 + 9768*y^19 + 3804*y^20 + 1024*y^21 + 184*y^22 + 20*y^23 + y^24)", "y^3*(1 - 6*y + 15*y^2 - 47*y^3 + 119*y^4 - 272*y^5 + 536*y^6 - 908*y^7 + 1343*y^8 - 1730*y^9 + 1959*y^10 - 1951*y^11 + 1708*y^12 - 1312*y^13 + 876*y^14 - 504*y^15 + 245*y^16 - 98*y^17 + 31*y^18 - 7*y^19 + y^20)^2*(16384 - 226304*y + 969088*y^2 - 663780*y^3 - 5422007*y^4 + 9145538*y^5 + 20288471*y^6 - 72861651*y^7 + 108021495*y^8 - 203630252*y^9 + 359478444*y^10 - 306618172*y^11 + 211940015*y^12 - 100923038*y^13 + 41024307*y^14 - 12576851*y^15 + 3518812*y^16 - 770428*y^17 + 175536*y^18 - 30208*y^19 + 6069*y^20 - 710*y^21 + 115*y^22 - 7*y^23 + y^24)", "(-1 + 2*y - y^2 + y^3)*(1 - 6*y - 25*y^2 + 197*y^3 - 145*y^4 - 1796*y^5 + 7608*y^6 - 16636*y^7 + 23595*y^8 - 22314*y^9 + 12663*y^10 - 1627*y^11 - 4052*y^12 + 3888*y^13 - 1608*y^14 + 84*y^15 + 289*y^16 - 182*y^17 + 59*y^18 - 11*y^19 + y^20)^2*(456976 - 1380561*y + 21379712*y^2 - 81502428*y^3 + 100515816*y^4 - 114206130*y^5 + 122792892*y^6 - 107642898*y^7 + 109092575*y^8 - 77159535*y^9 + 59515284*y^10 - 30667338*y^11 + 15902686*y^12 - 5303563*y^13 + 1807906*y^14 - 572239*y^15 + 291024*y^16 - 102169*y^17 + 24356*y^18 - 3028*y^19 + 544*y^20 - 224*y^21 + 72*y^22 - 12*y^23 + y^24)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 6*y - 21*y^2 + 37*y^3 + 175*y^4 - 84*y^5 - 756*y^6 - 292*y^7 + 1655*y^8 + 1954*y^9 - 1117*y^10 - 3803*y^11 - 2264*y^12 + 1720*y^13 + 3980*y^14 + 3408*y^15 + 1765*y^16 + 598*y^17 + 131*y^18 + 17*y^19 + y^20)^2*(16 - 97*y + 864*y^2 - 2228*y^3 - 6120*y^4 + 5998*y^5 + 24684*y^6 + 14974*y^7 - 20769*y^8 - 32911*y^9 + 2916*y^10 + 47554*y^11 + 52486*y^12 + 20389*y^13 - 8142*y^14 - 8511*y^15 + 7824*y^16 + 18735*y^17 + 17136*y^18 + 9768*y^19 + 3804*y^20 + 1024*y^21 + 184*y^22 + 20*y^23 + y^24)", "(-1 + y)^3*(1 - 38*y + 49*y^2 - 2251*y^3 - 6514*y^4 - 5656*y^5 - 9067*y^6 - 37695*y^7 - 74686*y^8 - 78662*y^9 - 50507*y^10 - 23695*y^11 - 7427*y^12 + 7544*y^13 + 16843*y^14 + 12841*y^15 + 2581*y^16 - 3014*y^17 - 2603*y^18 - 675*y^19 + 192*y^20 + 208*y^21 + 73*y^22 + 13*y^23 + y^24)*(1 + 40*y^2 - 946*y^3 + 1868*y^4 + 18693*y^5 - 13193*y^6 - 145812*y^7 + 121314*y^8 + 1447923*y^9 + 2575043*y^10 + 1724463*y^11 + 2581807*y^12 + 10270719*y^13 + 15581211*y^14 + 733559*y^15 - 25893547*y^16 - 26132098*y^17 + 12948598*y^18 + 46826024*y^19 + 28704942*y^20 - 23869065*y^21 - 51714599*y^22 - 29926846*y^23 + 10290258*y^24 + 29179386*y^25 + 20271554*y^26 + 2881878*y^27 - 6565810*y^28 - 6468438*y^29 - 2859246*y^30 - 253034*y^31 + 556840*y^32 + 457891*y^33 + 212287*y^34 + 68981*y^35 + 16455*y^36 + 2868*y^37 + 350*y^38 + 27*y^39 + y^40)" ] }, "GeometricRepresentation":[ 1.60735e1, [ "J11a_294_0", 1, "{16, 17}" ] ] } }