Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 3549580967] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2893 geometric_solution 6.10266549 oriented_manifold CS_known 0.0000000000000003 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 0.389277520721 0.343443410729 2 0 3 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.166227343334 0.930974735355 1 4 5 6 0132 0132 0132 0132 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 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 0.598759879906 0.402014015598 6 5 4 1 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598759879906 0.402014015598 4 2 4 3 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 -1 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 0.842642129462 0.896932472891 5 3 5 2 2031 0132 1302 0132 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 0 0 0 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856257972153 0.665778722402 3 6 2 6 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0.649949675832 0.554635546427 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), '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_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_1']), '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(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' : d['c_0101_0'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 305182/4195*c_1001_2^8 - 217449/4195*c_1001_2^7 + 1451514/4195*c_1001_2^6 - 199948/4195*c_1001_2^5 - 878871/839*c_1001_2^4 - 115732/4195*c_1001_2^3 + 963038/4195*c_1001_2^2 + 3756649/4195*c_1001_2 - 945598/4195, c_0011_0 - 1, c_0011_1 + 706/839*c_1001_2^8 - 782/839*c_1001_2^7 + 3203/839*c_1001_2^6 - 1859/839*c_1001_2^5 - 12025/839*c_1001_2^4 + 2305/839*c_1001_2^3 + 4394/839*c_1001_2^2 + 10157/839*c_1001_2 - 3333/839, c_0011_3 - 516/839*c_1001_2^8 + 341/839*c_1001_2^7 - 2505/839*c_1001_2^6 + 80/839*c_1001_2^5 + 7030/839*c_1001_2^4 - 444/839*c_1001_2^3 - 1562/839*c_1001_2^2 - 5370/839*c_1001_2 + 2581/839, c_0101_0 + 1742/839*c_0101_3*c_1001_2^8 - 1226/839*c_0101_3*c_1001_2^7 + 8369/839*c_0101_3*c_1001_2^6 - 979/839*c_0101_3*c_1001_2^5 - 24468/839*c_0101_3*c_1001_2^4 - 62/839*c_0101_3*c_1001_2^3 + 5670/839*c_0101_3*c_1001_2^2 + 20724/839*c_0101_3*c_1001_2 - 6824/839*c_0101_3, c_0101_1 - 1060/839*c_1001_2^8 + 694/839*c_1001_2^7 - 5263/839*c_1001_2^6 + 431/839*c_1001_2^5 + 13648/839*c_1001_2^4 + 922/839*c_1001_2^3 - 2773/839*c_1001_2^2 - 10368/839*c_1001_2 + 3533/839, c_0101_3^2 - 278/839*c_1001_2^8 + 239/839*c_1001_2^7 - 1613/839*c_1001_2^6 + 713/839*c_1001_2^5 + 2142/839*c_1001_2^4 + 951/839*c_1001_2^3 - 770/839*c_1001_2^2 - 1820/839*c_1001_2 + 67/839, c_1001_2^9 - c_1001_2^8 + 5*c_1001_2^7 - 2*c_1001_2^6 - 14*c_1001_2^5 + 4*c_1001_2^4 + 3*c_1001_2^3 + 11*c_1001_2^2 - 7*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB