Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 3002281568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1326 geometric_solution 5.21030321 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 0 1 -1 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 0.994352128602 0.503635508459 0 3 5 5 0132 3201 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455945222631 0.175716648468 3 0 2 2 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787291527600 0.813631812782 5 2 1 0 0132 3012 2310 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 1 0 -1 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 1.120373118034 0.713286951242 6 5 0 6 0132 2103 0132 1023 0 0 0 0 0 -1 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 0 -1 1 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 0.988972152155 0.511887890326 3 4 1 1 0132 2103 0132 3012 0 0 0 0 0 -1 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 0 0 0 0 -1 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 0 0 0 0.816910493169 1.251923712582 4 6 6 4 0132 1230 3012 1023 0 0 0 0 0 -1 1 0 0 0 1 -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 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 1.575448050592 0.358660652961 ==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' : negation(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' : 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' : 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_0'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1124195/26224*c_0101_6^11 + 4298941/26224*c_0101_6^10 - 1815335/26224*c_0101_6^9 - 12696221/13112*c_0101_6^8 - 20702745/26224*c_0101_6^7 + 21463985/13112*c_0101_6^6 + 70659863/26224*c_0101_6^5 + 4444105/26224*c_0101_6^4 - 13379483/6556*c_0101_6^3 - 11916449/6556*c_0101_6^2 - 20817853/26224*c_0101_6 - 1567547/13112, c_0011_0 - 1, c_0011_3 + c_0101_6^3 - 2*c_0101_6, c_0101_0 - 133/298*c_0101_6^11 - 257/298*c_0101_6^10 + 973/298*c_0101_6^9 + 1022/149*c_0101_6^8 - 2331/298*c_0101_6^7 - 3091/149*c_0101_6^6 + 1277/298*c_0101_6^5 + 7907/298*c_0101_6^4 + 1222/149*c_0101_6^3 - 1410/149*c_0101_6^2 - 2501/298*c_0101_6 - 310/149, c_0101_1 + c_0101_6^2 - 1, c_0101_2 + 35/149*c_0101_6^11 + 99/149*c_0101_6^10 - 209/149*c_0101_6^9 - 781/149*c_0101_6^8 + 237/149*c_0101_6^7 + 2215/149*c_0101_6^6 + 754/149*c_0101_6^5 - 2418/149*c_0101_6^4 - 1843/149*c_0101_6^3 + 350/149*c_0101_6^2 + 964/149*c_0101_6 + 469/149, c_0101_3 + 51/298*c_0101_6^11 - 9/298*c_0101_6^10 - 577/298*c_0101_6^9 - 39/149*c_0101_6^8 + 2227/298*c_0101_6^7 + 326/149*c_0101_6^6 - 3929/298*c_0101_6^5 - 1365/298*c_0101_6^4 + 1418/149*c_0101_6^3 + 404/149*c_0101_6^2 - 345/298*c_0101_6 - 150/149, c_0101_6^12 + 3*c_0101_6^11 - 5*c_0101_6^10 - 22*c_0101_6^9 + c_0101_6^8 + 58*c_0101_6^7 + 33*c_0101_6^6 - 57*c_0101_6^5 - 60*c_0101_6^4 + 25*c_0101_6^2 + 18*c_0101_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB