Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 3153733528] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s315 geometric_solution 4.49208486 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.295964341035 0.946045893369 0 4 4 2 0132 0132 1023 2103 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 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 0.506256800129 0.680281120215 5 0 5 1 0132 0132 2310 2103 0 0 0 0 0 0 0 0 0 0 -1 1 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 -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 0.933985763478 0.384072821722 4 0 4 0 0321 2310 1230 0132 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 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 -0.926414750060 1.195363252289 3 1 1 3 0321 0132 1023 3012 0 0 0 0 0 0 -1 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 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 1.405054226938 0.522645972589 2 2 5 5 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570338033461 0.236725712873 ==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_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_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_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 101/170*c_0101_5^12 - 173/85*c_0101_5^11 - 15/34*c_0101_5^10 + 83/34*c_0101_5^9 + 777/170*c_0101_5^8 + 281/85*c_0101_5^7 + 59/17*c_0101_5^6 - 2177/170*c_0101_5^5 - 3929/170*c_0101_5^4 - 1067/170*c_0101_5^3 + 3353/170*c_0101_5^2 + 936/85*c_0101_5 + 939/170, c_0011_0 - 1, c_0011_3 - 16/85*c_0101_5^12 + 74/85*c_0101_5^11 - 2/17*c_0101_5^10 - 49/17*c_0101_5^9 - 97/85*c_0101_5^8 + 509/85*c_0101_5^7 + 447/85*c_0101_5^6 - 271/85*c_0101_5^5 - 105/17*c_0101_5^4 - 259/85*c_0101_5^3 - 11/17*c_0101_5^2 + 37/17*c_0101_5 + 149/85, c_0101_1 - 62/85*c_0101_5^12 + 189/85*c_0101_5^11 + 56/17*c_0101_5^10 - 141/17*c_0101_5^9 - 1194/85*c_0101_5^8 + 179/17*c_0101_5^7 + 2393/85*c_0101_5^6 + 142/85*c_0101_5^5 - 2113/85*c_0101_5^4 - 168/17*c_0101_5^3 + 486/85*c_0101_5^2 + 379/85*c_0101_5 + 129/85, c_0101_2 + 2/85*c_0101_5^12 + 12/85*c_0101_5^11 - 4/17*c_0101_5^10 - 30/17*c_0101_5^9 - 41/85*c_0101_5^8 + 542/85*c_0101_5^7 + 656/85*c_0101_5^6 - 338/85*c_0101_5^5 - 210/17*c_0101_5^4 - 467/85*c_0101_5^3 + 63/17*c_0101_5^2 + 57/17*c_0101_5 + 77/85, c_0101_3 + 16/85*c_0101_5^12 - 74/85*c_0101_5^11 + 2/17*c_0101_5^10 + 49/17*c_0101_5^9 + 97/85*c_0101_5^8 - 509/85*c_0101_5^7 - 447/85*c_0101_5^6 + 271/85*c_0101_5^5 + 105/17*c_0101_5^4 + 259/85*c_0101_5^3 + 11/17*c_0101_5^2 - 37/17*c_0101_5 - 149/85, c_0101_5^13 - 2*c_0101_5^12 - 7*c_0101_5^11 + 5*c_0101_5^10 + 27*c_0101_5^9 + 10*c_0101_5^8 - 38*c_0101_5^7 - 39*c_0101_5^6 + 11*c_0101_5^5 + 31*c_0101_5^4 + 11*c_0101_5^3 - 4*c_0101_5^2 - 5*c_0101_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB