Magma V2.19-8 Tue Aug 20 2013 16:14:04 on localhost [Seed = 2951623571] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s018 geometric_solution 3.53760878 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 1 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858170235466 1.471728550750 0 5 5 2 0132 0132 1023 2310 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -2 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.038492699554 0.099674754430 1 0 3 4 3201 0132 3201 0321 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 -1 1 0 -2 0 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.658524539068 1.641996473386 2 4 4 0 2310 0321 3201 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 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 0.981376459564 0.526683191622 3 2 0 3 2310 0321 0132 0321 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 -1 0 1 0 -1 0 0 1 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981376459564 0.526683191622 5 1 1 5 3201 0132 1023 2310 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.192579411337 1.621229033833 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : 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_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_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6609/1408*c_1001_0^9 + 13975/1408*c_1001_0^8 - 31497/1408*c_1001_0^7 - 1043/128*c_1001_0^6 + 45173/1408*c_1001_0^5 - 141653/1408*c_1001_0^4 + 82899/1408*c_1001_0^3 - 103149/1408*c_1001_0^2 + 19915/1408*c_1001_0 - 7603/1408, c_0011_0 - 1, c_0011_3 + 81/88*c_1001_0^9 - 243/88*c_1001_0^8 + 729/88*c_1001_0^7 - 81/8*c_1001_0^6 + 1367/88*c_1001_0^5 - 771/88*c_1001_0^4 + 1249/88*c_1001_0^3 - 147/88*c_1001_0^2 + 417/88*c_1001_0 + 7/88, c_0011_4 + 15/44*c_1001_0^9 - 23/44*c_1001_0^8 + 69/44*c_1001_0^7 + 3/4*c_1001_0^6 - 19/44*c_1001_0^5 + 263/44*c_1001_0^4 - 71/44*c_1001_0^3 + 293/44*c_1001_0^2 - 23/44*c_1001_0 + 73/44, c_0101_0 + 3/22*c_1001_0^9 + 1/11*c_1001_0^8 - 14/11*c_1001_0^7 + 6*c_1001_0^6 - 259/22*c_1001_0^5 + 365/22*c_1001_0^4 - 149/11*c_1001_0^3 + 103/11*c_1001_0^2 - 43/11*c_1001_0 + 19/22, c_0101_5 - 213/176*c_1001_0^9 + 683/176*c_1001_0^8 - 1917/176*c_1001_0^7 + 209/16*c_1001_0^6 - 2687/176*c_1001_0^5 + 815/176*c_1001_0^4 - 1073/176*c_1001_0^3 - 249/176*c_1001_0^2 - 65/176*c_1001_0 + 81/176, c_1001_0^10 - 10/3*c_1001_0^9 + 10*c_1001_0^8 - 14*c_1001_0^7 + 20*c_1001_0^6 - 40/3*c_1001_0^5 + 46/3*c_1001_0^4 - 10/3*c_1001_0^3 + 14/3*c_1001_0^2 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB