Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 492601386] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2650 geometric_solution 5.92031713 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996987258022 0.620838914718 0 4 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773529499293 0.866244027433 6 0 1 5 0132 0132 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 0.773529499293 0.866244027433 6 0 4 0 3120 2310 3120 0132 0 0 0 0 0 0 1 -1 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 -1 0 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 0.277244081580 0.450070947635 6 1 3 6 1230 0132 3120 3012 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 0 0 -1 1 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 1.154803856879 0.551562378760 5 2 5 1 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.468683768385 1.059804284704 2 4 4 3 0132 3012 1230 3120 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 0 -1 1 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 1.154803856879 0.551562378760 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_5, c_0101_0, c_0101_1, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 21*c_0101_6*c_1001_2^3 - 96*c_0101_6*c_1001_2^2 - 203/2*c_0101_6*c_1001_2 + 9/2*c_0101_6 - 13/2*c_1001_2^3 - 31*c_1001_2^2 - 75/2*c_1001_2 - 11/2, c_0011_0 - 1, c_0011_3 - c_0101_6*c_1001_2 - c_0101_6 - 1, c_0011_5 + c_0101_6*c_1001_2^2 + 2*c_0101_6*c_1001_2, c_0101_0 - c_1001_2, c_0101_1 - c_0101_6*c_1001_2 - c_0101_6, c_0101_6^2 - 1/2*c_0101_6*c_1001_2^3 - 3/2*c_0101_6*c_1001_2^2 + 1/2*c_0101_6*c_1001_2 + 3/2*c_0101_6 - c_1001_2^3 - 3*c_1001_2^2 + c_1001_2 + 2, c_1001_2^4 + 4*c_1001_2^3 + 2*c_1001_2^2 - 4*c_1001_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 41/5*c_1001_2^8 - 58/5*c_1001_2^7 + 176/5*c_1001_2^6 - 63*c_1001_2^5 + 376/5*c_1001_2^4 - 441/5*c_1001_2^3 + 219/5*c_1001_2^2 - 162/5*c_1001_2, c_0011_0 - 1, c_0011_3 + 2/5*c_1001_2^8 - 6/5*c_1001_2^7 + 12/5*c_1001_2^6 - 5*c_1001_2^5 + 37/5*c_1001_2^4 - 37/5*c_1001_2^3 + 23/5*c_1001_2^2 - 9/5*c_1001_2, c_0011_5 + 1/5*c_1001_2^8 + 2/5*c_1001_2^6 - 2/5*c_1001_2^5 - 4/5*c_1001_2^4 + 2/5*c_1001_2^3 - 9/5*c_1001_2^2 + c_1001_2 - 1/5, c_0101_0 - c_1001_2, c_0101_1 - 2/5*c_1001_2^8 + 6/5*c_1001_2^7 - 12/5*c_1001_2^6 + 5*c_1001_2^5 - 37/5*c_1001_2^4 + 37/5*c_1001_2^3 - 23/5*c_1001_2^2 + 9/5*c_1001_2, c_0101_6 + 1/5*c_1001_2^8 - c_1001_2^7 + 7/5*c_1001_2^6 - 17/5*c_1001_2^5 + 26/5*c_1001_2^4 - 18/5*c_1001_2^3 + 11/5*c_1001_2^2 + c_1001_2 - 6/5, c_1001_2^9 - 2*c_1001_2^8 + 5*c_1001_2^7 - 10*c_1001_2^6 + 13*c_1001_2^5 - 15*c_1001_2^4 + 10*c_1001_2^3 - 5*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB