Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 1444399772] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1678 geometric_solution 5.40546042 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 -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 0.112841881000 0.967868323578 0 3 4 2 0132 0132 0132 0321 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 -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 0.797968388420 0.755467200463 4 1 0 5 2310 0321 0132 0132 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 -1 1 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 0.797968388420 0.755467200463 4 1 6 5 0132 0132 0132 2310 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 0 0 0 0 0.412799131366 0.496510554250 3 5 2 1 0132 2310 3201 0132 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 -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 2.080872645831 0.215575076088 3 6 2 4 3201 0132 0132 3201 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 0 0 0 0 0 0 0.412799131366 0.496510554250 6 5 6 3 2310 0132 3201 0132 0 0 0 0 0 -1 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.990102024283 1.190884542839 ==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_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_2']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_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_2, c_0011_5, c_0101_1, c_0101_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 486887090088/362524790147*c_1001_3^10 + 650925498960/362524790147*c_1001_3^9 - 177643016668/27886522319*c_1001_3^8 + 3580552863874/362524790147*c_1001_3^7 - 130829917587/362524790147*c_1001_3^6 + 6176892633019/362524790147*c_1001_3^5 + 13169565226894/362524790147*c_1001_3^4 + 262191001321/19080252113*c_1001_3^3 + 15352110192988/362524790147*c_1001_3^2 + 12428726567732/362524790147*c_1001_3 + 886013092128/362524790147, c_0011_0 - 1, c_0011_2 - 1708208523/27886522319*c_1001_3^10 + 3923245626/27886522319*c_1001_3^9 - 12687085095/27886522319*c_1001_3^8 + 24741242414/27886522319*c_1001_3^7 - 28375564545/27886522319*c_1001_3^6 + 51281036908/27886522319*c_1001_3^5 + 4939487031/27886522319*c_1001_3^4 + 1289299309/1467711701*c_1001_3^3 + 76712880763/27886522319*c_1001_3^2 - 1836551467/27886522319*c_1001_3 + 33604498082/27886522319, c_0011_5 - 5410377981/27886522319*c_1001_3^10 + 12229170312/27886522319*c_1001_3^9 - 36735427269/27886522319*c_1001_3^8 + 72698562307/27886522319*c_1001_3^7 - 65074875974/27886522319*c_1001_3^6 + 124175649468/27886522319*c_1001_3^5 + 41382598340/27886522319*c_1001_3^4 + 186162149/1467711701*c_1001_3^3 + 169786400306/27886522319*c_1001_3^2 - 21702546478/27886522319*c_1001_3 + 16393843254/27886522319, c_0101_1 + 9138979026/27886522319*c_1001_3^10 - 16324933890/27886522319*c_1001_3^9 + 54017696952/27886522319*c_1001_3^8 - 95939625526/27886522319*c_1001_3^7 + 60720112235/27886522319*c_1001_3^6 - 172181541976/27886522319*c_1001_3^5 - 162411591651/27886522319*c_1001_3^4 - 4000308308/1467711701*c_1001_3^3 - 317512245898/27886522319*c_1001_3^2 - 108029189717/27886522319*c_1001_3 - 50317805919/27886522319, c_0101_4 + 4743421275/27886522319*c_1001_3^10 - 8242211904/27886522319*c_1001_3^9 + 27240344689/27886522319*c_1001_3^8 - 48612543483/27886522319*c_1001_3^7 + 27612869183/27886522319*c_1001_3^6 - 83863996951/27886522319*c_1001_3^5 - 95385378631/27886522319*c_1001_3^4 - 972182453/1467711701*c_1001_3^3 - 167076040109/27886522319*c_1001_3^2 - 37866217174/27886522319*c_1001_3 - 1569724293/27886522319, c_0110_5 + 4743421275/27886522319*c_1001_3^10 - 8242211904/27886522319*c_1001_3^9 + 27240344689/27886522319*c_1001_3^8 - 48612543483/27886522319*c_1001_3^7 + 27612869183/27886522319*c_1001_3^6 - 83863996951/27886522319*c_1001_3^5 - 95385378631/27886522319*c_1001_3^4 - 972182453/1467711701*c_1001_3^3 - 167076040109/27886522319*c_1001_3^2 - 37866217174/27886522319*c_1001_3 - 1569724293/27886522319, c_1001_3^11 - c_1001_3^10 + 13/3*c_1001_3^9 - 17/3*c_1001_3^8 - 7/3*c_1001_3^7 - 12*c_1001_3^6 - 33*c_1001_3^5 - 56/3*c_1001_3^4 - 116/3*c_1001_3^3 - 115/3*c_1001_3^2 - 11*c_1001_3 - 13/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB