Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 1730607645] 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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_0' : negation(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: 8 Groebner basis: [ t - 4011316/462465*c_1100_0^7 - 72500/10277*c_1100_0^6 + 1312186/462465*c_1100_0^5 - 3800317/92493*c_1100_0^4 - 59458991/462465*c_1100_0^3 - 64749049/462465*c_1100_0^2 + 10914841/462465*c_1100_0 + 73449601/462465, c_0011_0 - 1, c_0011_2 + 2873/10277*c_1100_0^7 + 2497/10277*c_1100_0^6 - 1826/10277*c_1100_0^5 + 14867/10277*c_1100_0^4 + 43072/10277*c_1100_0^3 + 47929/10277*c_1100_0^2 - 7692/10277*c_1100_0 - 53984/10277, c_0011_3 - 892/10277*c_1100_0^7 - 160/10277*c_1100_0^6 - 381/10277*c_1100_0^5 - 4344/10277*c_1100_0^4 - 9946/10277*c_1100_0^3 - 8578/10277*c_1100_0^2 + 106/10277*c_1100_0 + 7793/10277, c_0011_4 + 892/10277*c_1100_0^7 + 160/10277*c_1100_0^6 + 381/10277*c_1100_0^5 + 4344/10277*c_1100_0^4 + 9946/10277*c_1100_0^3 + 8578/10277*c_1100_0^2 - 106/10277*c_1100_0 - 7793/10277, c_0101_2 + 1793/10277*c_1100_0^7 + 1612/10277*c_1100_0^6 - 1043/10277*c_1100_0^5 + 8824/10277*c_1100_0^4 + 24670/10277*c_1100_0^3 + 29386/10277*c_1100_0^2 - 7748/10277*c_1100_0 - 35608/10277, c_0110_3 + 2132/10277*c_1100_0^7 + 2318/10277*c_1100_0^6 - 518/10277*c_1100_0^5 + 10521/10277*c_1100_0^4 + 33358/10277*c_1100_0^3 + 41287/10277*c_1100_0^2 - 3848/10277*c_1100_0 - 39549/10277, c_1100_0^8 - c_1100_0^6 + 5*c_1100_0^5 + 11*c_1100_0^4 + 4*c_1100_0^3 - 16*c_1100_0^2 - 16*c_1100_0 + 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB