Magma V2.19-8 Tue Aug 20 2013 16:18:37 on localhost [Seed = 4223297224] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2796 geometric_solution 6.02898905 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 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 0.207585047613 0.581621961788 0 3 0 4 0132 3120 1023 0132 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 0 0 0 0 0 0 1.455694030214 1.525063146891 5 0 6 3 0132 0132 0132 1230 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 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 -0.228855254457 0.551075033025 2 1 0 5 3012 3120 0132 2031 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 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 0.845381505776 1.171705739840 6 5 1 6 1230 3201 0132 1302 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 0 0 0 1 0 -1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910913200245 0.596966136797 2 3 4 6 0132 1302 2310 1230 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 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.012508907593 1.135355344422 5 4 4 2 3012 3012 2031 0132 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 1 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 0.244539035440 1.638643701241 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0110_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 481/1152*c_0110_3 + 11303/7680, c_0011_0 - 1, c_0011_3 - 2/3*c_0110_3 + 1, c_0011_4 + 2/3*c_0110_3, c_0101_0 + 2/3*c_0110_3 - 2, c_0101_1 + 4/3*c_0110_3, c_0101_6 + 1/3*c_0110_3 - 2, c_0110_3^2 + 9/4*c_0110_3 - 9/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 609/170*c_0110_3^7 + 41/170*c_0110_3^6 - 1657/170*c_0110_3^5 + 1078/85*c_0110_3^4 - 6629/170*c_0110_3^3 + 7347/170*c_0110_3^2 - 1898/85*c_0110_3 + 1631/85, c_0011_0 - 1, c_0011_3 + 24/17*c_0110_3^7 - 73/17*c_0110_3^6 + 149/17*c_0110_3^5 - 231/17*c_0110_3^4 + 281/17*c_0110_3^3 - 245/17*c_0110_3^2 + 142/17*c_0110_3 - 69/17, c_0011_4 + 21/17*c_0110_3^7 - 32/17*c_0110_3^6 + 90/17*c_0110_3^5 - 132/17*c_0110_3^4 + 129/17*c_0110_3^3 - 140/17*c_0110_3^2 + 52/17*c_0110_3 - 37/17, c_0101_0 - 6/17*c_0110_3^7 + 31/17*c_0110_3^6 - 33/17*c_0110_3^5 + 62/17*c_0110_3^4 - 49/17*c_0110_3^3 + 6/17*c_0110_3^2 - 10/17*c_0110_3 - 21/17, c_0101_1 - 12/17*c_0110_3^7 + 11/17*c_0110_3^6 - 32/17*c_0110_3^5 + 22/17*c_0110_3^4 + 4/17*c_0110_3^3 - 5/17*c_0110_3^2 + 31/17*c_0110_3 - 8/17, c_0101_6 + 6/17*c_0110_3^7 - 31/17*c_0110_3^6 + 33/17*c_0110_3^5 - 62/17*c_0110_3^4 + 49/17*c_0110_3^3 - 6/17*c_0110_3^2 + 10/17*c_0110_3 + 21/17, c_0110_3^8 - 8/3*c_0110_3^7 + 16/3*c_0110_3^6 - 28/3*c_0110_3^5 + 32/3*c_0110_3^4 - 31/3*c_0110_3^3 + 23/3*c_0110_3^2 - 11/3*c_0110_3 + 5/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB