Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 2951623329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3408 geometric_solution 6.57679470 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0 0 0 1.021776557263 1.260178773251 0 3 5 3 0132 1230 0132 2310 0 0 0 0 0 1 -1 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 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 0.471725700517 0.693734713827 6 0 6 4 0132 0132 0321 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.039443719601 1.083898941689 1 6 1 0 3201 2103 3012 0132 0 0 0 0 0 0 0 0 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 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 0.772775425471 0.545232476602 2 5 0 5 3201 3201 0132 0321 0 0 0 0 0 -1 0 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 0 0 0 0 -1 1 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 0.358767369822 0.588354285487 6 4 4 1 3120 0321 2310 0132 0 0 0 0 0 -1 0 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 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 0.244501125987 1.238967190429 2 3 2 5 0132 2103 0321 3120 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 -1 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 0.039443719601 1.083898941689 ==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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_1001_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_1'], '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' : 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_1001_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3972475/3833*c_1001_1^7 - 25231420/11499*c_1001_1^6 + 1402849/11499*c_1001_1^5 + 30119689/11499*c_1001_1^4 - 5969169/3833*c_1001_1^3 - 5365682/11499*c_1001_1^2 + 3898490/11499*c_1001_1 + 1775947/11499, c_0011_0 - 1, c_0011_3 + 4667/3833*c_1001_1^7 + 1509/3833*c_1001_1^6 - 19704/3833*c_1001_1^5 + 3104/3833*c_1001_1^4 + 15970/3833*c_1001_1^3 - 9273/3833*c_1001_1^2 - 2212/3833*c_1001_1 + 1098/3833, c_0011_5 + 9932/3833*c_1001_1^7 - 8309/3833*c_1001_1^6 - 9443/3833*c_1001_1^5 + 7588/3833*c_1001_1^4 + 4059/3833*c_1001_1^3 - 4210/3833*c_1001_1^2 - 4953/3833*c_1001_1 + 1963/3833, c_0101_0 + 49465/3833*c_1001_1^7 - 103929/3833*c_1001_1^6 + 2092/3833*c_1001_1^5 + 125649/3833*c_1001_1^4 - 74521/3833*c_1001_1^3 - 23225/3833*c_1001_1^2 + 19487/3833*c_1001_1 + 5808/3833, c_0101_1 + 24310/3833*c_1001_1^7 - 29338/3833*c_1001_1^6 - 30749/3833*c_1001_1^5 + 52267/3833*c_1001_1^4 + 1978/3833*c_1001_1^3 - 23991/3833*c_1001_1^2 + 1493/3833*c_1001_1 + 2527/3833, c_0101_5 + 4667/3833*c_1001_1^7 + 1509/3833*c_1001_1^6 - 19704/3833*c_1001_1^5 + 3104/3833*c_1001_1^4 + 15970/3833*c_1001_1^3 - 9273/3833*c_1001_1^2 - 2212/3833*c_1001_1 + 1098/3833, c_1001_1^8 - 21/13*c_1001_1^7 - 12/13*c_1001_1^6 + 33/13*c_1001_1^5 - 3/13*c_1001_1^4 - 15/13*c_1001_1^3 + 1/13*c_1001_1^2 + 4/13*c_1001_1 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB