Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 1595851621] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0092 geometric_solution 3.62973490 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0.133672467747 0.015688726392 2 0 2 0 0132 2310 2310 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 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 -4.512994432174 0.850399595390 1 1 3 3 0132 3201 0132 3201 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 0 -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 0.340842070442 0.089091714564 4 2 5 2 0132 2310 0132 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 -1 1 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 0.482490556769 0.374933604521 3 6 5 5 0132 0132 3012 2310 0 0 0 0 0 -1 0 1 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 -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 0.003989399037 1.966301972627 4 4 6 3 3201 1230 3201 0132 0 0 0 0 0 -1 1 0 -1 0 1 0 -1 0 0 1 1 0 -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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003989399037 1.966301972627 5 4 6 6 2310 0132 1230 3012 0 0 0 0 0 1 0 -1 1 0 -1 0 -1 0 0 1 -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 0.003989399037 1.966301972627 ==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_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_0101_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 15*c_0101_3^7 - 56*c_0101_3^6 - 168*c_0101_3^5 + 126*c_0101_3^4 + 247*c_0101_3^3 - 99*c_0101_3^2 - 53*c_0101_3 + 18, c_0011_0 - 1, c_0011_1 - 5*c_0101_3^7 + 24*c_0101_3^6 + 33*c_0101_3^5 - 85*c_0101_3^4 - 29*c_0101_3^3 + 70*c_0101_3^2 + 6*c_0101_3 - 15, c_0011_3 - c_0101_3^7 + 4*c_0101_3^6 + 10*c_0101_3^5 - 10*c_0101_3^4 - 15*c_0101_3^3 + 6*c_0101_3^2 + 6*c_0101_3 - 1, c_0011_5 + 1, c_0101_0 - c_0101_3^7 + 5*c_0101_3^6 + 6*c_0101_3^5 - 20*c_0101_3^4 - 5*c_0101_3^3 + 21*c_0101_3^2 + c_0101_3 - 6, c_0101_1 - 10*c_0101_3^7 + 44*c_0101_3^6 + 81*c_0101_3^5 - 127*c_0101_3^4 - 85*c_0101_3^3 + 84*c_0101_3^2 + 20*c_0101_3 - 15, c_0101_3^8 - 4*c_0101_3^7 - 10*c_0101_3^6 + 10*c_0101_3^5 + 15*c_0101_3^4 - 6*c_0101_3^3 - 7*c_0101_3^2 + c_0101_3 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 15*c_0101_3^7 - 56*c_0101_3^6 - 168*c_0101_3^5 + 126*c_0101_3^4 + 247*c_0101_3^3 - 99*c_0101_3^2 - 53*c_0101_3 + 18, c_0011_0 - 1, c_0011_1 - 5*c_0101_3^7 + 24*c_0101_3^6 + 33*c_0101_3^5 - 85*c_0101_3^4 - 29*c_0101_3^3 + 70*c_0101_3^2 + 6*c_0101_3 - 15, c_0011_3 - c_0101_3^7 + 4*c_0101_3^6 + 10*c_0101_3^5 - 10*c_0101_3^4 - 15*c_0101_3^3 + 6*c_0101_3^2 + 6*c_0101_3 - 1, c_0011_5 - 1, c_0101_0 + c_0101_3^7 - 5*c_0101_3^6 - 6*c_0101_3^5 + 20*c_0101_3^4 + 5*c_0101_3^3 - 21*c_0101_3^2 - c_0101_3 + 6, c_0101_1 - 10*c_0101_3^7 + 44*c_0101_3^6 + 81*c_0101_3^5 - 127*c_0101_3^4 - 85*c_0101_3^3 + 84*c_0101_3^2 + 20*c_0101_3 - 15, c_0101_3^8 - 4*c_0101_3^7 - 10*c_0101_3^6 + 10*c_0101_3^5 + 15*c_0101_3^4 - 6*c_0101_3^3 - 7*c_0101_3^2 + c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB