Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 3499183584] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2822 geometric_solution 6.04593065 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 1 0 0 0 -1 1 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 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 0.141626731409 0.206812132189 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 -1 0 0 1 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 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 0.604225432608 3.084834265303 1 3 4 5 0132 3201 0132 0132 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 -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 0.182760564958 0.608556881418 6 4 2 1 0132 3201 2310 0132 0 0 0 0 0 1 0 -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 1 0 -1 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 0.182760564958 0.608556881418 5 6 3 2 3201 0132 2310 0132 0 0 0 0 0 0 0 0 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 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 0.836709662048 1.195177461925 6 6 2 4 2103 0321 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668407558185 0.846676580091 3 4 5 5 0132 0132 2103 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668407558185 0.846676580091 ==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' : negation(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' : d['1'], 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), '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_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_4'], '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_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 61175269/1604918*c_0101_4^15 - 1231150559/3209836*c_0101_4^13 - 2546599297/1604918*c_0101_4^11 - 2189926759/802459*c_0101_4^9 - 1524865499/3209836*c_0101_4^7 + 2789083194/802459*c_0101_4^5 + 3003976655/3209836*c_0101_4^3 + 1525311143/3209836*c_0101_4, c_0011_0 - 1, c_0011_1 - 99/15812*c_0101_4^14 - 1105/15812*c_0101_4^12 - 1136/3953*c_0101_4^10 - 6679/15812*c_0101_4^8 + 7581/15812*c_0101_4^6 + 29893/15812*c_0101_4^4 + 9039/7906*c_0101_4^2 - 8577/15812, c_0011_3 + 1109/7906*c_0101_4^15 + 5690/3953*c_0101_4^13 + 48067/7906*c_0101_4^11 + 43139/3953*c_0101_4^9 + 22647/7906*c_0101_4^7 - 106147/7906*c_0101_4^5 - 49541/7906*c_0101_4^3 - 15323/7906*c_0101_4, c_0011_5 + c_0101_4, c_0101_0 - 183/7906*c_0101_4^14 - 1803/7906*c_0101_4^12 - 7561/7906*c_0101_4^10 - 7311/3953*c_0101_4^8 - 5032/3953*c_0101_4^6 + 5425/7906*c_0101_4^4 + 3412/3953*c_0101_4^2 + 2674/3953, c_0101_1 - 411/15812*c_0101_4^14 - 4827/15812*c_0101_4^12 - 5914/3953*c_0101_4^10 - 53123/15812*c_0101_4^8 - 35369/15812*c_0101_4^6 + 47437/15812*c_0101_4^4 + 9599/3953*c_0101_4^2 + 2485/15812, c_0101_4^16 + 10*c_0101_4^14 + 41*c_0101_4^12 + 69*c_0101_4^10 + 8*c_0101_4^8 - 92*c_0101_4^6 - 19*c_0101_4^4 - 11*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB