Magma V2.19-8 Tue Aug 20 2013 16:18:28 on localhost [Seed = 4105529796] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2665 geometric_solution 5.93187402 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.478491575397 0.772600063191 0 3 4 4 0132 0132 1230 0132 0 0 0 0 0 0 0 0 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 -1 1 -1 0 0 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 1.420617717046 0.935504011853 3 4 3 0 2103 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.070053494892 1.060081931500 2 1 2 5 2310 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308362333600 0.543149449746 5 2 1 1 3120 2103 0132 3012 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 0 -1 1 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 0.761270159273 0.637753929543 6 6 3 4 0132 2310 0132 3120 0 0 0 0 0 1 0 -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 -0.210800856963 1.169889845135 5 6 6 5 0132 3201 2310 3201 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 -0.588241227185 0.703708824493 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_4']), '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_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1872325917983/16675816996224*c_0101_6^15 - 37319692083859/8337908498112*c_0101_6^13 + 30487712505461/694825708176*c_0101_6^11 - 273357927302017/1852868555136*c_0101_6^9 + 1585714140082211/8337908498112*c_0101_6^7 - 74712092375663/694825708176*c_0101_6^5 + 506505725566469/16675816996224*c_0101_6^3 - 80983336155079/16675816996224*c_0101_6, c_0011_0 - 1, c_0011_2 - 108205369/12867142744*c_0101_6^15 + 3642934705/12867142744*c_0101_6^13 - 15780327901/12867142744*c_0101_6^11 - 27705889063/3216785686*c_0101_6^9 + 76126151008/1608392843*c_0101_6^7 - 183708180321/3216785686*c_0101_6^5 + 243197369657/12867142744*c_0101_6^3 - 1685468959/6433571372*c_0101_6, c_0011_4 + 815815227/12867142744*c_0101_6^15 - 32264402027/12867142744*c_0101_6^13 + 308661480983/12867142744*c_0101_6^11 - 243928878113/3216785686*c_0101_6^9 + 135586796808/1608392843*c_0101_6^7 - 116890932737/3216785686*c_0101_6^5 + 93984044741/12867142744*c_0101_6^3 - 14127336571/6433571372*c_0101_6, c_0011_5 - 451248349/12867142744*c_0101_6^14 + 17915758613/12867142744*c_0101_6^12 - 173446236905/12867142744*c_0101_6^10 + 141174385267/3216785686*c_0101_6^8 - 83572596412/1608392843*c_0101_6^6 + 72696242601/3216785686*c_0101_6^4 - 10762194243/12867142744*c_0101_6^2 - 769084527/6433571372, c_0101_0 - 201856403/3216785686*c_0101_6^14 + 7930197883/3216785686*c_0101_6^12 - 74273657011/3216785686*c_0101_6^10 + 110616392003/1608392843*c_0101_6^8 - 101836707685/1608392843*c_0101_6^6 + 20733311372/1608392843*c_0101_6^4 + 11778642249/3216785686*c_0101_6^2 - 1098751755/1608392843, c_0101_1 + 29761833/6433571372*c_0101_6^14 - 1138655045/6433571372*c_0101_6^12 + 9823481149/6433571372*c_0101_6^10 - 6057234012/1608392843*c_0101_6^8 + 5530938798/1608392843*c_0101_6^6 - 10285983456/1608392843*c_0101_6^4 + 24273330343/6433571372*c_0101_6^2 + 1320833321/3216785686, c_0101_6^16 - 40*c_0101_6^14 + 396*c_0101_6^12 - 1359*c_0101_6^10 + 1796*c_0101_6^8 - 948*c_0101_6^6 + 139*c_0101_6^4 + 13*c_0101_6^2 + 6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB