Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 21011921] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1183 geometric_solution 5.05505199 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 1 -1 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 -1 0 1 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 1.305115292896 0.995378737765 0 5 5 4 0132 0132 3201 0213 0 0 0 0 0 -1 1 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 1 0 -1 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 0.172362992645 0.335823880493 6 0 6 4 0132 0132 2310 2031 0 0 0 0 0 -1 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 1 -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 0.863327820354 1.202500022069 4 3 3 0 0213 1230 3012 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125929670537 0.562641604954 3 2 0 1 0213 1302 0132 0213 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 -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 0.515566242044 0.369465491018 1 1 5 5 2310 0132 1230 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 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 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 2.038390514014 1.134871267499 2 2 6 6 0132 3201 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472706700456 0.190224649530 ==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' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} 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_4, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 22036147/8051*c_0101_6^10 + 16605556/8051*c_0101_6^9 + 76706408/8051*c_0101_6^8 - 58497992/8051*c_0101_6^7 - 133401009/8051*c_0101_6^6 + 48933334/8051*c_0101_6^5 + 112051839/8051*c_0101_6^4 - 12883039/8051*c_0101_6^3 - 40332453/8051*c_0101_6^2 + 1683400/8051*c_0101_6 + 5607516/8051, c_0011_0 - 1, c_0011_3 + 2485/83*c_0101_6^10 - 6872/83*c_0101_6^9 - 2059/83*c_0101_6^8 + 20060/83*c_0101_6^7 - 5690/83*c_0101_6^6 - 23391/83*c_0101_6^5 + 8040/83*c_0101_6^4 + 14089/83*c_0101_6^3 - 5198/83*c_0101_6^2 - 3117/83*c_0101_6 + 1355/83, c_0011_4 + 5159/83*c_0101_6^10 - 12378/83*c_0101_6^9 - 6582/83*c_0101_6^8 + 36571/83*c_0101_6^7 - 4628/83*c_0101_6^6 - 41871/83*c_0101_6^5 + 10221/83*c_0101_6^4 + 24938/83*c_0101_6^3 - 8115/83*c_0101_6^2 - 5624/83*c_0101_6 + 2287/83, c_0101_0 - 8939/83*c_0101_6^10 + 15851/83*c_0101_6^9 + 18346/83*c_0101_6^8 - 47844/83*c_0101_6^7 - 13797/83*c_0101_6^6 + 50887/83*c_0101_6^5 + 3541/83*c_0101_6^4 - 27534/83*c_0101_6^3 + 4244/83*c_0101_6^2 + 6123/83*c_0101_6 - 1961/83, c_0101_2 + 5313/83*c_0101_6^10 - 7241/83*c_0101_6^9 - 14329/83*c_0101_6^8 + 22880/83*c_0101_6^7 + 19066/83*c_0101_6^6 - 23575/83*c_0101_6^5 - 14058/83*c_0101_6^4 + 11342/83*c_0101_6^3 + 3513/83*c_0101_6^2 - 2265/83*c_0101_6 - 22/83, c_0101_5 + 5901/83*c_0101_6^10 - 9705/83*c_0101_6^9 - 13289/83*c_0101_6^8 + 29490/83*c_0101_6^7 + 13005/83*c_0101_6^6 - 30900/83*c_0101_6^5 - 6805/83*c_0101_6^4 + 15953/83*c_0101_6^3 - 531/83*c_0101_6^2 - 3346/83*c_0101_6 + 820/83, c_0101_6^11 - 8/7*c_0101_6^10 - 23/7*c_0101_6^9 + 29/7*c_0101_6^8 + 37/7*c_0101_6^7 - 5*c_0101_6^6 - 32/7*c_0101_6^5 + 3*c_0101_6^4 + 13/7*c_0101_6^3 - c_0101_6^2 - 2/7*c_0101_6 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB