Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 1663237657] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3252 geometric_solution 6.38166777 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 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 1 -1 0 1 0 0 -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 0.321711497486 0.552459125720 0 0 2 4 0132 3120 1023 0132 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 -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 0.321711497486 0.552459125720 5 5 1 0 0132 2310 1023 0132 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 0.534571493913 1.904175435494 4 6 0 4 0213 0132 0132 1023 0 0 0 0 0 0 1 -1 1 0 -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 -1 0 1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134507704173 1.104087527004 3 6 1 3 0213 2310 0132 1023 0 0 0 0 0 0 0 0 -1 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134507704173 1.104087527004 2 6 6 2 0132 0213 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.189752169332 0.627359010335 5 3 5 4 2031 0132 0213 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737792072599 0.808156268210 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_1100_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0110_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0110_3']), 'c_0110_6' : negation(d['c_0110_3']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0011_4, c_0101_2, c_0110_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/6, c_0011_0 - 1, c_0011_2 - 2, c_0011_3 - c_0011_4 - 1, c_0011_4^2 + c_0011_4 + 3, c_0101_2 + 1, c_0110_3 + 1, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_4, c_0101_2, c_0110_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2517177628/87074468325*c_1100_0^7 + 17568286252/87074468325*c_1100_0^6 - 71694267058/261223404975*c_1100_0^5 - 11634095767/87074468325*c_1100_0^4 - 4912762511/9674940925*c_1100_0^3 - 40370694053/261223404975*c_1100_0^2 - 301737749489/261223404975*c_1100_0 + 189648977311/87074468325, c_0011_0 - 1, c_0011_2 - 7158791/89307147*c_1100_0^7 + 17928707/89307147*c_1100_0^6 + 93013702/267921441*c_1100_0^5 + 34237465/89307147*c_1100_0^4 + 1939828/29769049*c_1100_0^3 + 69531497/267921441*c_1100_0^2 - 367944244/267921441*c_1100_0 + 19740068/89307147, c_0011_3 + 1867162/29769049*c_1100_0^7 - 6810982/29769049*c_1100_0^6 - 8150063/89307147*c_1100_0^5 + 1381292/29769049*c_1100_0^4 + 4851248/29769049*c_1100_0^3 + 5123720/89307147*c_1100_0^2 + 87688460/89307147*c_1100_0 - 41620181/29769049, c_0011_4 - 1867162/29769049*c_1100_0^7 + 6810982/29769049*c_1100_0^6 + 8150063/89307147*c_1100_0^5 - 1381292/29769049*c_1100_0^4 - 4851248/29769049*c_1100_0^3 - 5123720/89307147*c_1100_0^2 - 87688460/89307147*c_1100_0 + 41620181/29769049, c_0101_2 + 1073583/29769049*c_1100_0^7 - 5002224/29769049*c_1100_0^6 + 238245/29769049*c_1100_0^5 + 4836334/29769049*c_1100_0^4 + 20926226/29769049*c_1100_0^3 + 4815208/29769049*c_1100_0^2 + 28167788/29769049*c_1100_0 - 39679864/29769049, c_0110_3 - 10538416/89307147*c_1100_0^7 + 35817766/89307147*c_1100_0^6 + 49915790/267921441*c_1100_0^5 + 24003803/89307147*c_1100_0^4 - 5910660/29769049*c_1100_0^3 + 87684889/267921441*c_1100_0^2 - 751218290/267921441*c_1100_0 + 220282555/89307147, c_1100_0^8 - 4*c_1100_0^7 + 1/3*c_1100_0^6 - c_1100_0^5 + 3*c_1100_0^4 - 4/3*c_1100_0^3 + 68/3*c_1100_0^2 - 32*c_1100_0 + 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB