Magma V2.19-8 Tue Aug 20 2013 23:29:32 on localhost [Seed = 442268790] Type ? for help. Type -D to quit. Loading file "K11n13__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n13 geometric_solution 6.56631160 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 8 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 -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 0.929645948522 0.869513451645 0 4 6 5 0132 3120 0132 0132 0 0 0 0 0 1 0 -1 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 -13 0 13 0 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.272061029285 0.365427587035 7 0 5 3 0132 0132 1302 1230 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 -13 0 13 0 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386852216459 0.574179323098 2 6 6 0 3012 1230 2103 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 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 1.149986516331 0.698064119932 7 1 0 7 3012 3120 0132 2031 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 0 -1 1 -1 0 1 0 0 -12 0 12 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753520546393 0.583734471557 2 7 1 6 2031 1230 0132 3201 0 0 0 0 0 -1 1 0 0 0 0 0 -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 13 -13 0 0 0 0 0 12 -12 0 0 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.860378950618 0.870156687453 3 5 3 1 2103 2310 3012 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 0.226263847165 1.400880680208 2 4 5 4 0132 1302 3012 1230 0 0 0 0 0 0 0 0 -1 0 1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 13 0 -13 0 -12 -1 0 13 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613899497011 1.453891159010 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_0'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0110_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' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0110_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 955305959/59345974*c_0110_5^10 + 14349453293/118691948*c_0110_5^9 + 11520346939/29672987*c_0110_5^8 + 92845649935/118691948*c_0110_5^7 + 28771557243/29672987*c_0110_5^6 + 100622794323/118691948*c_0110_5^5 + 84065137175/118691948*c_0110_5^4 + 31011507947/59345974*c_0110_5^3 + 45612647305/118691948*c_0110_5^2 + 14956510535/59345974*c_0110_5 + 13712764063/118691948, c_0011_0 - 1, c_0011_3 + 8691169/29672987*c_0110_5^10 + 112243043/59345974*c_0110_5^9 + 151017392/29672987*c_0110_5^8 + 534807533/59345974*c_0110_5^7 + 257560920/29672987*c_0110_5^6 + 450840601/59345974*c_0110_5^5 + 411665699/59345974*c_0110_5^4 + 129159177/29672987*c_0110_5^3 + 202453961/59345974*c_0110_5^2 + 32227407/29672987*c_0110_5 + 28773437/59345974, c_0011_4 + 4795764/29672987*c_0110_5^10 + 35333129/29672987*c_0110_5^9 + 216723855/59345974*c_0110_5^8 + 408992987/59345974*c_0110_5^7 + 228575350/29672987*c_0110_5^6 + 170733109/29672987*c_0110_5^5 + 323550161/59345974*c_0110_5^4 + 121219187/29672987*c_0110_5^3 + 108632194/29672987*c_0110_5^2 + 109663459/59345974*c_0110_5 + 62475255/59345974, c_0011_6 - 29900/29672987*c_0110_5^10 - 1739726/29672987*c_0110_5^9 - 10844420/29672987*c_0110_5^8 - 28222769/29672987*c_0110_5^7 - 46802098/29672987*c_0110_5^6 - 46535246/29672987*c_0110_5^5 - 37202666/29672987*c_0110_5^4 - 60821743/29672987*c_0110_5^3 - 22495256/29672987*c_0110_5^2 - 33796134/29672987*c_0110_5 - 10226291/29672987, c_0101_0 - 293924/29672987*c_0110_5^10 - 7026992/29672987*c_0110_5^9 - 37789645/29672987*c_0110_5^8 - 96730913/29672987*c_0110_5^7 - 166227662/29672987*c_0110_5^6 - 158249413/29672987*c_0110_5^5 - 132165653/29672987*c_0110_5^4 - 91033689/29672987*c_0110_5^3 - 42686839/29672987*c_0110_5^2 - 55473189/29672987*c_0110_5 - 26560712/29672987, c_0101_1 - 5487563/29672987*c_0110_5^10 - 78423207/59345974*c_0110_5^9 - 238334319/59345974*c_0110_5^8 - 229232721/29672987*c_0110_5^7 - 257159482/29672987*c_0110_5^6 - 398500677/59345974*c_0110_5^5 - 144323288/29672987*c_0110_5^4 - 100669628/29672987*c_0110_5^3 - 181328631/59345974*c_0110_5^2 - 112260517/59345974*c_0110_5 - 7975371/29672987, c_0101_3 + 6075882/29672987*c_0110_5^10 + 39391347/29672987*c_0110_5^9 + 105987632/29672987*c_0110_5^8 + 188159834/29672987*c_0110_5^7 + 187500073/29672987*c_0110_5^6 + 169667515/29672987*c_0110_5^5 + 166221843/29672987*c_0110_5^4 + 94622599/29672987*c_0110_5^3 + 95215394/29672987*c_0110_5^2 + 48448646/29672987*c_0110_5 + 20665437/29672987, c_0110_5^11 + 15/2*c_0110_5^10 + 24*c_0110_5^9 + 48*c_0110_5^8 + 117/2*c_0110_5^7 + 99/2*c_0110_5^6 + 81/2*c_0110_5^5 + 61/2*c_0110_5^4 + 47/2*c_0110_5^3 + 15*c_0110_5^2 + 6*c_0110_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB