Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 1174920053] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2725 geometric_solution 5.97350958 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 -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 1 -1 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 1.209831289802 1.451472976913 0 5 4 2 0132 0132 1302 2103 0 0 0 0 0 0 1 -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 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 0.455606966819 0.266410070078 5 0 3 1 2310 0132 2103 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048464200992 0.851781014624 2 4 6 0 2103 2103 0132 0132 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 1 0 -1 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 0.048464200992 0.851781014624 1 3 0 6 2031 2103 0132 2310 0 0 0 0 0 0 0 0 -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 0 1 -1 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 0.455606966819 0.266410070078 6 1 2 6 1230 0132 3201 3012 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364373934578 0.956410429261 4 5 5 3 3201 3012 1230 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 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 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 0.364373934578 0.956410429261 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(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_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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : 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_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 61/180*c_0101_6^8 - 19/60*c_0101_6^7 + 119/60*c_0101_6^6 - 97/90*c_0101_6^5 + 223/90*c_0101_6^4 + 169/180*c_0101_6^3 - 259/90*c_0101_6^2 + 427/180*c_0101_6 - 431/90, c_0011_0 - 1, c_0011_3 + 1/18*c_0101_6^8 - 5/18*c_0101_6^7 + 1/2*c_0101_6^6 - c_0101_6^5 + 7/9*c_0101_6^4 + 1/6*c_0101_6^3 - 8/9*c_0101_6^2 + 7/6*c_0101_6, c_0011_4 + 1/18*c_0101_6^8 - 1/6*c_0101_6^7 + 5/18*c_0101_6^6 - 2/3*c_0101_6^5 + 1/9*c_0101_6^4 - 5/18*c_0101_6^3 - 2/9*c_0101_6^2 + 13/18*c_0101_6 + 2/3, c_0011_6 - 1, c_0101_0 + 1/18*c_0101_6^8 - 5/18*c_0101_6^7 + 1/2*c_0101_6^6 - c_0101_6^5 + 7/9*c_0101_6^4 + 1/6*c_0101_6^3 - 8/9*c_0101_6^2 + 7/6*c_0101_6, c_0101_2 + 1/9*c_0101_6^8 + 5/9*c_0101_6^6 + 5/9*c_0101_6^4 - 5/9*c_0101_6^3 - 7/9*c_0101_6^2 - 11/9*c_0101_6 - 5/3, c_0101_6^9 - c_0101_6^8 + 5*c_0101_6^7 - 2*c_0101_6^6 + 2*c_0101_6^5 + 5*c_0101_6^4 - 14*c_0101_6^3 - c_0101_6^2 - 10*c_0101_6 - 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB