Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 3886447579] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0163 geometric_solution 3.87637703 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 1 -1 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 -1 0 1 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 0.918185268169 0.097029319328 0 3 0 4 0132 0132 1023 0132 0 0 0 0 0 0 -1 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 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 0.942153928729 0.165528172646 2 0 2 0 2310 0132 3201 1023 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 1 0 -1 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 0.918734063360 0.070774127606 5 1 6 4 0132 0132 0132 1230 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 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 0.721888417947 0.130434789375 3 6 1 5 3012 0132 0132 0321 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 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 0.946107671895 0.860141663857 3 4 6 6 0132 0321 1302 3012 0 0 0 0 0 -1 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 0 0 0 0 1 -1 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 1.477649491195 0.924526210852 5 4 5 3 2031 0132 1230 0132 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 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 0 0 0 0 1.093252447680 1.606905827995 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0011_0'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 63059/95284*c_1001_3^6 + 27112/23821*c_1001_3^5 - 27113/6806*c_1001_3^4 - 684715/47642*c_1001_3^3 - 141175/13612*c_1001_3^2 + 1334351/95284*c_1001_3 + 1767123/95284, c_0011_0 - 1, c_0011_4 + 80/581*c_1001_3^6 + 102/581*c_1001_3^5 - 75/83*c_1001_3^4 - 1567/581*c_1001_3^3 - 70/83*c_1001_3^2 + 2342/581*c_1001_3 + 1632/581, c_0101_0 - 138/581*c_1001_3^6 - 205/581*c_1001_3^5 + 119/83*c_1001_3^4 + 2950/581*c_1001_3^3 + 266/83*c_1001_3^2 - 3488/581*c_1001_3 - 3861/581, c_0101_1 + 22/581*c_1001_3^6 - 1/581*c_1001_3^5 - 31/83*c_1001_3^4 - 184/581*c_1001_3^3 + 43/83*c_1001_3^2 + 615/581*c_1001_3 - 16/581, c_0101_2 - 263/581*c_1001_3^6 - 437/581*c_1001_3^5 + 231/83*c_1001_3^4 + 5580/581*c_1001_3^3 + 531/83*c_1001_3^2 - 6058/581*c_1001_3 - 7573/581, c_0101_6 - 90/581*c_1001_3^6 - 260/581*c_1001_3^5 + 74/83*c_1001_3^4 + 2707/581*c_1001_3^3 + 390/83*c_1001_3^2 - 2780/581*c_1001_3 - 5322/581, c_1001_3^7 + 3*c_1001_3^6 - 4*c_1001_3^5 - 30*c_1001_3^4 - 43*c_1001_3^3 + 6*c_1001_3^2 + 64*c_1001_3 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB