Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 863153983] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s545 geometric_solution 4.96694335 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 1 -1 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 -1 0 1 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 0 1.173698920656 0.640150346628 0 4 5 3 0132 0132 0132 2031 0 0 0 0 0 0 0 0 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 -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 0 0 0 0 0 0 0.482929605159 0.740629766726 2 0 0 2 3012 0132 1023 1230 0 0 0 0 0 -1 1 0 0 0 1 -1 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 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 0 0 0 0 0 0 1.647870398525 0.276408518544 5 1 0 4 2310 1302 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 -1 1 -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 0.482929605159 0.740629766726 4 1 3 4 3201 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0.159675383208 0.763278780411 5 5 3 1 1230 3012 3201 0132 0 0 0 0 0 -1 1 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 1 0 -1 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 0.167503622161 0.697068696243 ==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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_0']})} 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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 86929751/1178177*c_0101_4^14 + 312114377/1178177*c_0101_4^13 - 1894401867/1178177*c_0101_4^12 - 106585988/168311*c_0101_4^11 + 433597638/168311*c_0101_4^10 + 3267081094/1178177*c_0101_4^9 - 2579411089/1178177*c_0101_4^8 - 738564448/168311*c_0101_4^7 + 1350438861/1178177*c_0101_4^6 + 4362826198/1178177*c_0101_4^5 + 10687665/90629*c_0101_4^4 - 145756162/90629*c_0101_4^3 - 440914990/1178177*c_0101_4^2 + 28282257/107107*c_0101_4 + 111022949/1178177, c_0011_0 - 1, c_0011_3 - c_0101_4^14 - 3*c_0101_4^13 + 24*c_0101_4^12 - 4*c_0101_4^11 - 42*c_0101_4^10 - 17*c_0101_4^9 + 55*c_0101_4^8 + 44*c_0101_4^7 - 54*c_0101_4^6 - 45*c_0101_4^5 + 31*c_0101_4^4 + 26*c_0101_4^3 - 9*c_0101_4^2 - 7*c_0101_4 + 1, c_0011_5 + 59300/9737*c_0101_4^14 + 241077/9737*c_0101_4^13 - 1204557/9737*c_0101_4^12 - 165177/1391*c_0101_4^11 + 309579/1391*c_0101_4^10 + 2993573/9737*c_0101_4^9 - 1142020/9737*c_0101_4^8 - 636247/1391*c_0101_4^7 + 498/9737*c_0101_4^6 + 3736101/9737*c_0101_4^5 + 59578/749*c_0101_4^4 - 119710/749*c_0101_4^3 - 536668/9737*c_0101_4^2 + 245300/9737*c_0101_4 + 97098/9737, c_0101_0 + 79165/9737*c_0101_4^14 + 281153/9737*c_0101_4^13 - 1738798/9737*c_0101_4^12 - 87552/1391*c_0101_4^11 + 410180/1391*c_0101_4^10 + 2691163/9737*c_0101_4^9 - 2490307/9737*c_0101_4^8 - 645869/1391*c_0101_4^7 + 1633852/9737*c_0101_4^6 + 3810185/9737*c_0101_4^5 - 19912/749*c_0101_4^4 - 124588/749*c_0101_4^3 - 220343/9737*c_0101_4^2 + 267705/9737*c_0101_4 + 72712/9737, c_0101_2 - 130077/9737*c_0101_4^14 - 461997/9737*c_0101_4^13 + 2866000/9737*c_0101_4^12 + 150360/1391*c_0101_4^11 - 696078/1391*c_0101_4^10 - 4761514/9737*c_0101_4^9 + 4372779/9737*c_0101_4^8 + 1136237/1391*c_0101_4^7 - 2565165/9737*c_0101_4^6 - 6957655/9737*c_0101_4^5 + 17072/749*c_0101_4^4 + 241307/749*c_0101_4^3 + 575623/9737*c_0101_4^2 - 548568/9737*c_0101_4 - 172586/9737, c_0101_4^15 + 3*c_0101_4^14 - 24*c_0101_4^13 + 4*c_0101_4^12 + 42*c_0101_4^11 + 17*c_0101_4^10 - 55*c_0101_4^9 - 44*c_0101_4^8 + 54*c_0101_4^7 + 45*c_0101_4^6 - 31*c_0101_4^5 - 26*c_0101_4^4 + 9*c_0101_4^3 + 8*c_0101_4^2 - c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB