Magma V2.19-8 Tue Aug 20 2013 16:18:52 on localhost [Seed = 2867541980] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3035 geometric_solution 6.20518046 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808718722486 1.118060048161 0 5 3 5 0132 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729188062266 0.609218581872 6 0 6 6 0132 0132 3120 2103 0 1 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 -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 0.198917512597 0.986903725498 1 4 6 0 2031 1302 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.575271564117 0.587190431327 4 4 0 3 1302 2031 0132 2031 0 0 0 0 0 -1 0 1 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 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652076262796 1.073179922745 1 1 5 5 3201 0132 2031 1302 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 0.554891399128 0.146543551013 2 3 2 2 0132 0213 3120 2103 0 1 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 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 0.198917512597 0.986903725498 ==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_0101_0']), 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_0110_5']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : negation(d['c_0110_4'])})} 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_0101_0, c_0101_2, c_0110_4, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 37530085/583208*c_1001_0^9 - 495476443/291604*c_1001_0^8 + 4550769583/583208*c_1001_0^7 - 7859863055/583208*c_1001_0^6 + 810211363/72901*c_1001_0^5 - 1885035939/291604*c_1001_0^4 + 1385857117/583208*c_1001_0^3 - 294452449/291604*c_1001_0^2 - 31598077/583208*c_1001_0 + 64809093/583208, c_0011_0 - 1, c_0011_3 - 52656/72901*c_1001_0^9 + 2789539/145802*c_1001_0^8 - 6495396/72901*c_1001_0^7 + 11396794/72901*c_1001_0^6 - 9286393/72901*c_1001_0^5 + 9749405/145802*c_1001_0^4 - 2931521/145802*c_1001_0^3 + 879985/145802*c_1001_0^2 + 143981/145802*c_1001_0 - 259721/145802, c_0101_0 - 127017/291604*c_1001_0^9 + 852553/72901*c_1001_0^8 - 16865021/291604*c_1001_0^7 + 32762565/291604*c_1001_0^6 - 15523261/145802*c_1001_0^5 + 9504357/145802*c_1001_0^4 - 8554703/291604*c_1001_0^3 + 1426663/145802*c_1001_0^2 - 473405/291604*c_1001_0 - 337641/291604, c_0101_2 - 1, c_0110_4 + c_1001_0 - 1, c_0110_5 - 36779/72901*c_1001_0^9 + 1954901/145802*c_1001_0^8 - 9240869/145802*c_1001_0^7 + 8308369/72901*c_1001_0^6 - 14162473/145802*c_1001_0^5 + 8352325/145802*c_1001_0^4 - 3873471/145802*c_1001_0^3 + 813645/72901*c_1001_0^2 - 105400/72901*c_1001_0 - 113549/145802, c_1001_0^10 - 27*c_1001_0^9 + 137*c_1001_0^8 - 282*c_1001_0^7 + 299*c_1001_0^6 - 206*c_1001_0^5 + 99*c_1001_0^4 - 39*c_1001_0^3 + 9*c_1001_0^2 + 2*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB