Magma V2.19-8 Tue Aug 20 2013 16:19:02 on localhost [Seed = 1031577686] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3178 geometric_solution 6.32484632 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800654019934 0.735302242365 0 3 0 4 0132 1302 2310 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 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 0.322465082639 0.622232489456 4 5 6 0 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 0.606005698824 0.371533616352 5 5 0 1 2310 1023 0132 2031 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 2 -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 0.842339731676 0.589964323585 2 6 1 5 0132 2103 0132 2103 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 0 0 0 -1 0 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 1.343458237713 1.266870855711 3 2 3 4 1023 0132 3201 2103 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 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796482082830 0.572411327768 6 4 6 2 2031 2103 1302 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 0 1 -1 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821555592819 0.938568431260 ==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_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_1001_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_5']})} 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_6, c_0101_0, c_0101_1, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 147814/3401*c_1001_2^9 - 318026/3401*c_1001_2^8 + 9549/19*c_1001_2^7 - 2848821/3401*c_1001_2^6 + 2764526/3401*c_1001_2^5 - 3037484/3401*c_1001_2^4 + 723534/3401*c_1001_2^3 + 1770172/3401*c_1001_2^2 - 628809/3401*c_1001_2 - 117907/3401, c_0011_0 - 1, c_0011_2 + 2042/3401*c_1001_2^9 - 4136/3401*c_1001_2^8 + 126/19*c_1001_2^7 - 35788/3401*c_1001_2^6 + 27967/3401*c_1001_2^5 - 32388/3401*c_1001_2^4 - 781/3401*c_1001_2^3 + 33698/3401*c_1001_2^2 - 4839/3401*c_1001_2 - 4314/3401, c_0011_6 - 2697/3401*c_1001_2^9 + 7911/3401*c_1001_2^8 - 195/19*c_1001_2^7 + 75205/3401*c_1001_2^6 - 82325/3401*c_1001_2^5 + 85391/3401*c_1001_2^4 - 47287/3401*c_1001_2^3 - 32512/3401*c_1001_2^2 + 29970/3401*c_1001_2 - 1917/3401, c_0101_0 - 3710/3401*c_1001_2^9 + 9180/3401*c_1001_2^8 - 260/19*c_1001_2^7 + 86340/3401*c_1001_2^6 - 103389/3401*c_1001_2^5 + 105995/3401*c_1001_2^4 - 52574/3401*c_1001_2^3 - 26851/3401*c_1001_2^2 + 38991/3401*c_1001_2 - 8864/3401, c_0101_1 - 1, c_0101_5 - 2106/3401*c_1001_2^9 + 3726/3401*c_1001_2^8 - 129/19*c_1001_2^7 + 32043/3401*c_1001_2^6 - 29140/3401*c_1001_2^5 + 34519/3401*c_1001_2^4 - 1413/3401*c_1001_2^3 - 23322/3401*c_1001_2^2 - 359/3401*c_1001_2 + 2324/3401, c_1001_2^10 - 2*c_1001_2^9 + 11*c_1001_2^8 - 17*c_1001_2^7 + 13*c_1001_2^6 - 13*c_1001_2^5 - 3*c_1001_2^4 + 18*c_1001_2^3 - 4*c_1001_2^2 - 4*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB