Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 2118116013] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1288 geometric_solution 5.18325433 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 1 0132 0132 3120 2103 0 1 0 0 0 0 1 -1 -1 0 1 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 1 1 -2 -1 0 0 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238240385682 0.689929428964 0 3 0 0 0132 0132 3120 2103 0 1 0 0 0 0 0 0 1 0 -1 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 -1 1 0 1 0 0 -1 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238240385682 0.689929428964 3 0 3 4 0132 0132 1023 0132 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 -1 1 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 -0.447180521312 1.295007145113 2 1 2 4 0132 0132 1023 2310 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 1 -1 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 -0.447180521312 1.295007145113 3 5 2 5 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746507605008 0.981194721925 4 4 6 6 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282010712841 0.208129808263 6 5 5 6 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.604477835612 0.527961515108 ==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_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], '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' : d['c_0011_6'], '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_6']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1141288048/14380485*c_0101_6^8 + 809842928/4793495*c_0101_6^7 + 10513000712/14380485*c_0101_6^6 + 852545872/4793495*c_0101_6^5 - 1918248853/4793495*c_0101_6^4 - 1727402437/14380485*c_0101_6^3 + 3003629362/14380485*c_0101_6^2 - 2344053914/14380485*c_0101_6 + 143766047/14380485, c_0011_0 - 1, c_0011_4 - 1605696/684785*c_0101_6^8 + 2478008/684785*c_0101_6^7 + 16307444/684785*c_0101_6^6 + 13224182/684785*c_0101_6^5 - 1240743/684785*c_0101_6^4 - 5877684/684785*c_0101_6^3 - 391876/684785*c_0101_6^2 - 1681153/684785*c_0101_6 + 122764/684785, c_0011_6 - 867232/684785*c_0101_6^8 + 858096/684785*c_0101_6^7 + 9740468/684785*c_0101_6^6 + 11803244/684785*c_0101_6^5 + 1077869/684785*c_0101_6^4 - 5609303/684785*c_0101_6^3 - 1559222/684785*c_0101_6^2 - 41326/684785*c_0101_6 - 220012/684785, c_0101_0 - 1, c_0101_2 + 1300288/684785*c_0101_6^8 - 2346224/684785*c_0101_6^7 - 12859412/684785*c_0101_6^6 - 7005896/684785*c_0101_6^5 + 5660109/684785*c_0101_6^4 + 5947522/684785*c_0101_6^3 - 506782/684785*c_0101_6^2 + 1422259/684785*c_0101_6 - 646172/684785, c_0101_5 + 1300288/684785*c_0101_6^8 - 2346224/684785*c_0101_6^7 - 12859412/684785*c_0101_6^6 - 7005896/684785*c_0101_6^5 + 5660109/684785*c_0101_6^4 + 5947522/684785*c_0101_6^3 - 506782/684785*c_0101_6^2 + 1422259/684785*c_0101_6 + 38613/684785, c_0101_6^9 - 2*c_0101_6^8 - 19/2*c_0101_6^7 - 7/2*c_0101_6^6 + 81/16*c_0101_6^5 + 13/4*c_0101_6^4 - 15/8*c_0101_6^3 + 19/16*c_0101_6^2 - 3/8*c_0101_6 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB