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Loading file "L12n810__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n810 geometric_solution 10.92709835 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 0 1 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 1 0 -1 -9 0 0 9 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732039550118 1.105490174282 0 5 6 2 0132 0132 0132 1023 1 1 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 0 0 0 0 0 0 0 0 9 0 -8 -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 0.905491956619 1.708157308191 7 0 8 1 0132 0132 0132 1023 1 1 1 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 -1 0 1 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 0.397088754619 0.286196209968 9 9 6 0 0132 1230 3120 0132 1 1 1 1 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 -1 0 0 1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732039550118 1.105490174282 10 8 0 11 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 0 1 -1 0 0 -9 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602502440659 0.746430265282 11 1 7 8 3120 0132 1023 3120 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397012342193 0.495846653506 7 11 3 1 1023 3120 3120 0132 1 1 0 1 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 0 -8 8 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345225134871 0.811189703635 2 6 5 10 0132 1023 1023 1023 1 1 0 1 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 8 0 -8 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 0.587419148400 0.888395686912 5 4 9 2 3120 0132 1230 0132 1 1 0 1 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.144395146635 1.046819292669 3 10 3 8 0132 0213 3012 3012 1 1 1 1 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 0 -9 0 9 0 0 0 0 -8 8 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583592983042 0.628837425074 4 11 9 7 0132 1023 0213 1023 1 1 0 1 0 -1 1 0 0 0 -1 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 -8 8 0 -1 0 1 -9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160188911124 1.167147853049 10 6 4 5 1023 3120 0132 3120 1 1 0 1 0 0 0 0 1 0 -1 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 1 -1 9 0 -9 0 1 0 0 -1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357676668120 0.383942967315 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0011_3']), '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_3'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 41804/107*c_1001_2^10 - 106447/107*c_1001_2^9 - 198393/214*c_1001_2^8 + 564923/107*c_1001_2^7 - 455930/107*c_1001_2^6 - 827111/214*c_1001_2^5 + 958755/107*c_1001_2^4 - 1352953/214*c_1001_2^3 + 330835/107*c_1001_2^2 - 81331/107*c_1001_2 + 27931/214, c_0011_0 - 1, c_0011_10 - 24/107*c_1001_2^10 - 162/107*c_1001_2^9 + 335/107*c_1001_2^8 + 868/107*c_1001_2^7 - 3691/214*c_1001_2^6 - 2131/214*c_1001_2^5 + 3644/107*c_1001_2^4 - 921/107*c_1001_2^3 - 2273/107*c_1001_2^2 + 1803/214*c_1001_2 - 999/214, c_0011_3 - 37/214*c_1001_2^10 + 89/428*c_1001_2^9 + 489/428*c_1001_2^8 - 819/428*c_1001_2^7 - 853/428*c_1001_2^6 + 2301/428*c_1001_2^5 - 249/428*c_1001_2^4 - 2385/428*c_1001_2^3 + 1079/428*c_1001_2^2 + 653/428*c_1001_2 - 323/428, c_0101_0 - 1, c_0101_1 - 509/107*c_1001_2^10 + 1421/214*c_1001_2^9 + 5391/214*c_1001_2^8 - 10833/214*c_1001_2^7 - 2517/107*c_1001_2^6 + 11190/107*c_1001_2^5 - 9857/214*c_1001_2^4 - 11433/214*c_1001_2^3 + 8759/214*c_1001_2^2 - 2167/107*c_1001_2 + 394/107, c_0101_2 + 53/107*c_1001_2^10 - 301/214*c_1001_2^9 - 365/214*c_1001_2^8 + 990/107*c_1001_2^7 - 501/107*c_1001_2^6 - 3377/214*c_1001_2^5 + 4307/214*c_1001_2^4 + 403/214*c_1001_2^3 - 1503/107*c_1001_2^2 + 624/107*c_1001_2 - 295/214, c_0101_3 - 11/214*c_1001_2^10 + 119/428*c_1001_2^9 - 5/428*c_1001_2^8 - 631/428*c_1001_2^7 + 747/428*c_1001_2^6 + 713/428*c_1001_2^5 - 1867/428*c_1001_2^4 + 413/428*c_1001_2^3 + 1171/428*c_1001_2^2 - 471/428*c_1001_2 + 37/428, c_0101_5 - 509/107*c_1001_2^10 + 1421/214*c_1001_2^9 + 5391/214*c_1001_2^8 - 10833/214*c_1001_2^7 - 2517/107*c_1001_2^6 + 11190/107*c_1001_2^5 - 9857/214*c_1001_2^4 - 11433/214*c_1001_2^3 + 8759/214*c_1001_2^2 - 2060/107*c_1001_2 + 394/107, c_0101_7 + 553/214*c_1001_2^10 - 1469/428*c_1001_2^9 - 6013/428*c_1001_2^8 + 11431/428*c_1001_2^7 + 6647/428*c_1001_2^6 - 24483/428*c_1001_2^5 + 8337/428*c_1001_2^4 + 14489/428*c_1001_2^3 - 8735/428*c_1001_2^2 + 2901/428*c_1001_2 - 187/428, c_0101_8 - 1017/214*c_1001_2^10 + 3337/428*c_1001_2^9 + 10335/428*c_1001_2^8 - 24449/428*c_1001_2^7 - 6245/428*c_1001_2^6 + 48839/428*c_1001_2^5 - 28221/428*c_1001_2^4 - 22067/428*c_1001_2^3 + 23209/428*c_1001_2^2 - 9987/428*c_1001_2 + 2487/428, c_1001_11 - 521/214*c_1001_2^10 + 617/428*c_1001_2^9 + 6475/428*c_1001_2^8 - 6327/428*c_1001_2^7 - 12925/428*c_1001_2^6 + 16339/428*c_1001_2^5 + 7055/428*c_1001_2^4 - 14815/428*c_1001_2^3 - 1753/428*c_1001_2^2 + 45/428*c_1001_2 - 1477/428, c_1001_2^11 - 3/2*c_1001_2^10 - 5*c_1001_2^9 + 11*c_1001_2^8 + 3*c_1001_2^7 - 21*c_1001_2^6 + 13*c_1001_2^5 + 7*c_1001_2^4 - 9*c_1001_2^3 + 7*c_1001_2^2 - 2*c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB