Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 1410713730] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1111 geometric_solution 4.97531710 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.437671057866 0.314464033738 0 0 4 3 0132 2310 0132 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 -1 1 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 0.428147777152 0.646913094813 0 0 2 2 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.289158211180 1.140607787346 4 5 1 6 1230 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.984003147026 0.593016091856 5 3 6 1 3201 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -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 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984003147026 0.593016091856 6 3 6 4 1302 0132 2031 2310 0 0 0 0 0 0 1 -1 -1 0 0 1 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 -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 1.468290867271 0.857010638633 4 5 3 5 2310 2031 0132 1302 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 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 0.468290867271 0.857010638633 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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_6']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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_0101_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 369/1496*c_0101_4^10 + 1519/748*c_0101_4^8 + 9213/1496*c_0101_4^6 + 19639/1496*c_0101_4^4 + 28277/1496*c_0101_4^2 - 24457/748, c_0011_0 - 1, c_0011_3 + 415/17408*c_0101_0*c_0101_4^11 + 3985/17408*c_0101_0*c_0101_4^9 + 7683/8704*c_0101_0*c_0101_4^7 + 38581/17408*c_0101_0*c_0101_4^5 + 4323/1088*c_0101_0*c_0101_4^3 + 2539/4352*c_0101_0*c_0101_4, c_0011_6 - 257/17408*c_0101_4^10 - 2127/17408*c_0101_4^8 - 4189/8704*c_0101_4^6 - 22571/17408*c_0101_4^4 - 2005/1088*c_0101_4^2 - 757/4352, c_0101_0^2 + 15/2176*c_0101_4^10 + 49/2176*c_0101_4^8 + 27/1088*c_0101_4^6 + 5/2176*c_0101_4^4 - 25/68*c_0101_4^2 - 349/544, c_0101_1 - 201/17408*c_0101_4^10 - 1799/17408*c_0101_4^8 - 2565/8704*c_0101_4^6 - 10947/17408*c_0101_4^4 - 1149/1088*c_0101_4^2 + 3235/4352, c_0101_2 - 49/17408*c_0101_4^10 - 287/17408*c_0101_4^8 - 333/8704*c_0101_4^6 + 709/17408*c_0101_4^4 + 203/1088*c_0101_4^2 + 1947/4352, c_0101_4^12 + 9*c_0101_4^10 + 32*c_0101_4^8 + 79*c_0101_4^6 + 142*c_0101_4^4 - 12*c_0101_4^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB