Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 2261195428] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s348 geometric_solution 4.55591889 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 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 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.363526398206 0.572003393970 3 0 2 4 0132 0132 2103 0132 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 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 1.130840761056 0.781119646085 1 4 3 0 2103 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.130840761056 0.781119646085 1 2 3 3 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802677125033 0.827041660109 2 5 1 5 1023 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.195036440520 0.415876667142 5 4 5 4 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623642202564 0.261619765454 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_4'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0011_2']})} 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_2, c_0101_1, c_0101_3, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1, c_0011_0 - 1, c_0011_2 - 2*c_0110_4^3 + 3*c_0110_4, c_0101_1 + 1, c_0101_3 - 2*c_0110_4^2 + 2, c_0110_4^4 - 2*c_0110_4^2 + 1/2, c_0110_5 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_1, c_0101_3, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 287/428*c_0110_4^6 - 2265/428*c_0110_4^4 + 1293/856*c_0110_4^2 - 1389/214, c_0011_0 - 1, c_0011_2 - 25/428*c_0110_4^7 - 163/428*c_0110_4^5 + 563/856*c_0110_4^3 - 92/107*c_0110_4, c_0101_1 + 25/214*c_0110_4^6 + 163/214*c_0110_4^4 - 563/428*c_0110_4^2 + 77/107, c_0101_3 - 3/107*c_0110_4^6 - 11/107*c_0110_4^4 + 273/214*c_0110_4^2 - 57/107, c_0110_4^8 + 7*c_0110_4^6 - 19/2*c_0110_4^4 + 10*c_0110_4^2 - 8, c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB