Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 1494795638] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s233 geometric_solution 4.38820050 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735765446534 0.109581800479 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600921733065 0.328585613810 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.802060722415 1.822918328663 2 4 4 5 0132 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.100335831524 0.759131137787 5 3 3 2 1023 3201 2310 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.100335831524 0.759131137787 5 4 3 5 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685187700372 1.196329377885 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 17769857/360853*c_0101_3^14 - 97822315/360853*c_0101_3^13 - 6491081/360853*c_0101_3^12 + 295237920/360853*c_0101_3^11 + 271910251/360853*c_0101_3^10 - 702005795/360853*c_0101_3^9 - 502503373/360853*c_0101_3^8 + 733623257/360853*c_0101_3^7 + 496919718/360853*c_0101_3^6 - 289349081/360853*c_0101_3^5 - 435691728/360853*c_0101_3^4 + 106661258/360853*c_0101_3^3 + 192387421/360853*c_0101_3^2 - 31050580/360853*c_0101_3 - 31581034/360853, c_0011_0 - 1, c_0011_4 - 473680/360853*c_0101_3^14 - 2681328/360853*c_0101_3^13 - 652498/360853*c_0101_3^12 + 7377112/360853*c_0101_3^11 + 8093849/360853*c_0101_3^10 - 16492537/360853*c_0101_3^9 - 14266679/360853*c_0101_3^8 + 15835799/360853*c_0101_3^7 + 12532149/360853*c_0101_3^6 - 4640483/360853*c_0101_3^5 - 9554142/360853*c_0101_3^4 + 1495230/360853*c_0101_3^3 + 4353725/360853*c_0101_3^2 - 592161/360853*c_0101_3 - 541388/360853, c_0101_0 - 89962/360853*c_0101_3^14 - 708750/360853*c_0101_3^13 - 1106067/360853*c_0101_3^12 + 1985616/360853*c_0101_3^11 + 5082293/360853*c_0101_3^10 - 1441426/360853*c_0101_3^9 - 12137400/360853*c_0101_3^8 + 797428/360853*c_0101_3^7 + 12474420/360853*c_0101_3^6 + 1715539/360853*c_0101_3^5 - 5723746/360853*c_0101_3^4 - 2903716/360853*c_0101_3^3 + 3079127/360853*c_0101_3^2 + 679476/360853*c_0101_3 - 817159/360853, c_0101_1 + 2727166/360853*c_0101_3^14 + 14721249/360853*c_0101_3^13 - 1223636/360853*c_0101_3^12 - 49116641/360853*c_0101_3^11 - 39205772/360853*c_0101_3^10 + 120165560/360853*c_0101_3^9 + 78675231/360853*c_0101_3^8 - 135775380/360853*c_0101_3^7 - 86142816/360853*c_0101_3^6 + 61184112/360853*c_0101_3^5 + 78086873/360853*c_0101_3^4 - 20431390/360853*c_0101_3^3 - 37497418/360853*c_0101_3^2 + 6297152/360853*c_0101_3 + 6963647/360853, c_0101_2 - 541388/360853*c_0101_3^14 - 2774648/360853*c_0101_3^13 + 1057164/360853*c_0101_3^12 + 9856094/360853*c_0101_3^11 + 5616200/360853*c_0101_3^10 - 25959653/360853*c_0101_3^9 - 10576863/360853*c_0101_3^8 + 29966931/360853*c_0101_3^7 + 12316377/360853*c_0101_3^6 - 14156313/360853*c_0101_3^5 - 14308097/360853*c_0101_3^4 + 5764426/360853*c_0101_3^3 + 6625590/360853*c_0101_3^2 - 1827320/360853*c_0101_3 - 1032003/360853, c_0101_3^15 + 6*c_0101_3^14 + 3*c_0101_3^13 - 17*c_0101_3^12 - 24*c_0101_3^11 + 33*c_0101_3^10 + 50*c_0101_3^9 - 29*c_0101_3^8 - 52*c_0101_3^7 + 3*c_0101_3^6 + 35*c_0101_3^5 + 7*c_0101_3^4 - 15*c_0101_3^3 - 4*c_0101_3^2 + 3*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB