Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1562165641] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1223 geometric_solution 5.11852863 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 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 1.087225094366 0.926108054122 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 0 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009802327823 0.920231118209 4 3 0 1 2310 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009802327823 0.920231118209 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 1 -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 0.865564046310 0.506859477160 4 1 2 4 3201 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0.087225094366 0.926108054122 6 3 6 3 0132 0132 1023 1023 0 0 0 0 0 0 -1 1 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 -1 1 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 0.719893214135 0.160256473174 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 1 0 -1 0 0 1 -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 1 0 -1 0 0 1 -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 0.639894028181 0.060292391629 ==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' : 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' : 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_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 23/7*c_0101_6^17 - 235/14*c_0101_6^15 - 39/14*c_0101_6^13 - 201/14*c_0101_6^11 + 369/14*c_0101_6^9 + 53/14*c_0101_6^7 + 17/14*c_0101_6^5 - 19/2*c_0101_6^3 + 20/7*c_0101_6, c_0011_0 - 1, c_0011_1 - 25/4*c_0101_6^17 + 67/2*c_0101_6^15 - 7/2*c_0101_6^13 + 57/2*c_0101_6^11 - 99/2*c_0101_6^9 + 12*c_0101_6^7 + 2*c_0101_6^5 + 51/4*c_0101_6^3 - 11*c_0101_6, c_0101_0 - 25/4*c_0101_6^17 + 135/4*c_0101_6^15 - 19/4*c_0101_6^13 + 113/4*c_0101_6^11 - 203/4*c_0101_6^9 + 47/4*c_0101_6^7 + 9/4*c_0101_6^5 + 25/2*c_0101_6^3 - 19/2*c_0101_6, c_0101_1 - 25/4*c_0101_6^17 + 137/4*c_0101_6^15 - 27/4*c_0101_6^13 + 101/4*c_0101_6^11 - 219/4*c_0101_6^9 + 55/4*c_0101_6^7 + 17/4*c_0101_6^5 + 27/2*c_0101_6^3 - 12*c_0101_6, c_0101_4 - 4*c_0101_6^16 + 89/4*c_0101_6^14 - 6*c_0101_6^12 + 16*c_0101_6^10 - 37*c_0101_6^8 + 10*c_0101_6^6 + 5/2*c_0101_6^4 + 17/2*c_0101_6^2 - 33/4, c_0101_5 + 4*c_0101_6^17 - 89/4*c_0101_6^15 + 6*c_0101_6^13 - 16*c_0101_6^11 + 37*c_0101_6^9 - 10*c_0101_6^7 - 5/2*c_0101_6^5 - 17/2*c_0101_6^3 + 33/4*c_0101_6, c_0101_6^18 - 6*c_0101_6^16 + 4*c_0101_6^14 - 5*c_0101_6^12 + 11*c_0101_6^10 - 7*c_0101_6^8 + c_0101_6^6 - 2*c_0101_6^4 + 3*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB