Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 2901225885] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2812 geometric_solution 6.04032587 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 -1 2 0 0 -1 1 0 -1 0 1 1 1 -2 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730622775755 0.785116580379 0 3 5 4 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460454817673 0.733170270771 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 1 -1 0 0 0 1 -1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460454817673 0.733170270771 6 1 6 2 0132 0132 2310 2310 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 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 0.004038591440 1.700735818466 2 4 1 4 2310 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746639863469 1.584458844254 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355659434917 0.555301190981 3 3 6 6 0132 3201 2031 1302 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 0 0 0 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 0 0 0 0 0 0 0 0.410215397022 0.129131233457 ==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' : 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_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 791621425/45083116*c_0101_5^10 + 106840975/1733966*c_0101_5^9 + 1685393627/45083116*c_0101_5^8 - 1619231777/22541558*c_0101_5^7 - 4194167125/45083116*c_0101_5^6 + 855013379/3467932*c_0101_5^5 + 995596581/22541558*c_0101_5^4 - 10635406165/45083116*c_0101_5^3 + 372764611/22541558*c_0101_5^2 + 68957716/866983*c_0101_5 - 1572424329/45083116, c_0011_0 - 1, c_0011_4 + 5949699/2651948*c_0101_5^10 + 7430/3923*c_0101_5^9 - 4098589/2651948*c_0101_5^8 - 12342451/1325974*c_0101_5^7 + 25591721/2651948*c_0101_5^6 + 2052959/203996*c_0101_5^5 - 19825103/1325974*c_0101_5^4 - 11819851/2651948*c_0101_5^3 + 5195273/662987*c_0101_5^2 - 41035/101998*c_0101_5 - 3057937/2651948, c_0101_0 + 9287691/2651948*c_0101_5^10 + 375841/101998*c_0101_5^9 - 395/2651948*c_0101_5^8 - 16020011/1325974*c_0101_5^7 + 35663493/2651948*c_0101_5^6 + 2553517/203996*c_0101_5^5 - 24131999/1325974*c_0101_5^4 - 8588587/2651948*c_0101_5^3 + 11306891/1325974*c_0101_5^2 - 7821/3923*c_0101_5 - 4811243/2651948, c_0101_1 + 2617685/1325974*c_0101_5^10 + 220279/101998*c_0101_5^9 + 84450/662987*c_0101_5^8 - 4780695/662987*c_0101_5^7 + 8676503/1325974*c_0101_5^6 + 342280/50999*c_0101_5^5 - 5546025/662987*c_0101_5^4 - 3426355/1325974*c_0101_5^3 + 2745091/1325974*c_0101_5^2 + 20311/101998*c_0101_5 + 117310/662987, c_0101_2 + 1065379/203996*c_0101_5^10 + 274543/50999*c_0101_5^9 - 120881/203996*c_0101_5^8 - 153333/7846*c_0101_5^7 + 300897/15692*c_0101_5^6 + 3950675/203996*c_0101_5^5 - 2596883/101998*c_0101_5^4 - 1677279/203996*c_0101_5^3 + 607915/50999*c_0101_5^2 - 156341/101998*c_0101_5 - 453261/203996, c_0101_3 + 3819739/662987*c_0101_5^10 + 722093/101998*c_0101_5^9 + 410435/1325974*c_0101_5^8 - 14817729/662987*c_0101_5^7 + 10783142/662987*c_0101_5^6 + 2690589/101998*c_0101_5^5 - 14817503/662987*c_0101_5^4 - 10278608/662987*c_0101_5^3 + 13248541/1325974*c_0101_5^2 + 190543/101998*c_0101_5 - 2212131/1325974, c_0101_5^11 + 11/7*c_0101_5^10 + 3/7*c_0101_5^9 - 27/7*c_0101_5^8 + 11/7*c_0101_5^7 + 40/7*c_0101_5^6 - 19/7*c_0101_5^5 - 29/7*c_0101_5^4 + 9/7*c_0101_5^3 + 6/7*c_0101_5^2 - 3/7*c_0101_5 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB