Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1865348027] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1219 geometric_solution 5.11575804 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 -0.090187709546 1.428329451218 0 3 1 1 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445075216907 1.806121175957 5 0 3 5 0132 0132 3201 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 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 0.321963130159 0.170402756727 2 1 4 0 2310 0132 2310 0132 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 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 -0.090187709546 1.428329451218 6 3 0 6 0132 3201 0132 1023 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 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 0.328711529049 0.281325251897 2 2 5 5 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.496442163785 1.293348873093 4 6 6 4 0132 1230 3012 1023 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 -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 1.680548650087 1.104141955559 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 8630184551/65956773*c_0101_6^9 - 79398420325/263827092*c_0101_6^8 + 93593868715/175884728*c_0101_6^7 - 2471866341643/4221233472*c_0101_6^6 + 904345540909/2110616736*c_0101_6^5 - 921026653619/4221233472*c_0101_6^4 - 94539864767/4221233472*c_0101_6^3 + 285713433877/4221233472*c_0101_6^2 - 241651346365/4221233472*c_0101_6 + 49638873683/2110616736, c_0011_0 - 1, c_0011_4 + 37806768/21985591*c_0101_6^9 + 13540092/21985591*c_0101_6^8 - 145324758/21985591*c_0101_6^7 + 1399346145/87942364*c_0101_6^6 - 972658149/43971182*c_0101_6^5 + 1675419409/87942364*c_0101_6^4 - 1091359463/87942364*c_0101_6^3 + 423255421/87942364*c_0101_6^2 - 84259181/87942364*c_0101_6 + 24256707/43971182, c_0101_0 - 79618048/21985591*c_0101_6^9 + 123689024/21985591*c_0101_6^8 - 288635440/21985591*c_0101_6^7 + 343979000/21985591*c_0101_6^6 - 413512477/21985591*c_0101_6^5 + 392400618/21985591*c_0101_6^4 - 242851717/21985591*c_0101_6^3 + 159594692/21985591*c_0101_6^2 - 29422956/21985591*c_0101_6 + 12021267/21985591, c_0101_1 + 18465936/21985591*c_0101_6^9 - 226035436/21985591*c_0101_6^8 + 515928142/21985591*c_0101_6^7 - 3445892677/87942364*c_0101_6^6 + 1913859325/43971182*c_0101_6^5 - 3064349613/87942364*c_0101_6^4 + 2047941435/87942364*c_0101_6^3 - 732997077/87942364*c_0101_6^2 + 306514681/87942364*c_0101_6 - 39222103/43971182, c_0101_3 - 182431872/21985591*c_0101_6^9 + 264649056/21985591*c_0101_6^8 - 418270640/21985591*c_0101_6^7 + 292710042/21985591*c_0101_6^6 - 64983960/21985591*c_0101_6^5 - 11601230/21985591*c_0101_6^4 + 172939697/21985591*c_0101_6^3 - 34207218/21985591*c_0101_6^2 + 4033108/21985591*c_0101_6 - 5264116/21985591, c_0101_5 + 237939072/21985591*c_0101_6^9 - 763569632/21985591*c_0101_6^8 + 1519012896/21985591*c_0101_6^7 - 2116804454/21985591*c_0101_6^6 + 2125591011/21985591*c_0101_6^5 - 1691950689/21985591*c_0101_6^4 + 960659884/21985591*c_0101_6^3 - 411216281/21985591*c_0101_6^2 + 131787788/21985591*c_0101_6 - 30929770/21985591, c_0101_6^10 - 11/4*c_0101_6^9 + 43/8*c_0101_6^8 - 461/64*c_0101_6^7 + 115/16*c_0101_6^6 - 377/64*c_0101_6^5 + 221/64*c_0101_6^4 - 111/64*c_0101_6^3 + 43/64*c_0101_6^2 - 3/16*c_0101_6 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB