Magma V2.19-8 Tue Aug 20 2013 23:58:00 on localhost [Seed = 2017333459] Type ? for help. Type -D to quit. Loading file "L14n38556__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38556 geometric_solution 10.72985423 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 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824778955083 0.779547704509 0 2 6 5 0132 0213 0132 0132 1 1 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 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317843539563 0.628307804301 7 0 1 8 0132 0132 0213 0132 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 0 0 0 0 0 0 1 0 -1 1 0 3 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586309356154 0.365827725585 7 7 8 0 3012 0132 2031 0132 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402161886003 0.647158258169 9 6 0 10 0132 0132 0132 0132 1 1 1 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 0 -5 -1 6 0 0 0 0 -6 6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421591752376 0.763044909798 7 8 1 11 2031 2031 0132 0132 1 1 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 -1 0 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.125195634146 1.895241437596 11 4 11 1 1230 0132 0132 0132 1 1 0 1 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 5 -5 0 -1 0 1 0 -1 1 0 0 5 -6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172796074498 0.847266887020 2 3 5 3 0132 0132 1302 1230 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 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307271938947 1.114736878304 5 9 2 3 1302 0132 0132 1302 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 0 0 0 0 0 -1 1 0 -3 0 4 -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 1.231097406507 1.133134423210 4 8 10 11 0132 0132 1230 1230 1 1 0 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 1 0 -1 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630903428384 0.832297346347 10 10 4 9 1230 3012 0132 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.445257323985 1.004036660574 9 6 5 6 3012 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -5 0 5 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172796074498 0.847266887020 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_9'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0011_10'], 'c_0110_0' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_11']})} 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_11, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_1001_1, c_1001_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 146511/202*c_1100_1^5 + 702865/101*c_1100_1^4 + 2452597/202*c_1100_1^3 - 4646349/202*c_1100_1^2 + 2601879/202*c_1100_1 - 355571/202, c_0011_0 - 1, c_0011_10 - 49/202*c_1100_1^5 - 230/101*c_1100_1^4 - 705/202*c_1100_1^3 + 1797/202*c_1100_1^2 - 1397/202*c_1100_1 + 339/202, c_0011_11 + 25/101*c_1100_1^5 + 245/101*c_1100_1^4 + 471/101*c_1100_1^3 - 653/101*c_1100_1^2 + 418/101*c_1100_1 - 107/101, c_0011_4 - 25/101*c_1100_1^5 - 245/101*c_1100_1^4 - 471/101*c_1100_1^3 + 653/101*c_1100_1^2 - 418/101*c_1100_1 + 107/101, c_0011_5 - 31/101*c_1100_1^5 - 324/101*c_1100_1^4 - 782/101*c_1100_1^3 + 434/101*c_1100_1^2 + 19/101*c_1100_1 - 37/101, c_0101_0 - 1, c_0101_10 - 49/202*c_1100_1^5 - 230/101*c_1100_1^4 - 705/202*c_1100_1^3 + 1797/202*c_1100_1^2 - 1195/202*c_1100_1 + 339/202, c_0101_11 + 44/101*c_1100_1^5 + 411/101*c_1100_1^4 + 631/101*c_1100_1^3 - 1626/101*c_1100_1^2 + 869/101*c_1100_1 - 156/101, c_0101_3 + 6/101*c_1100_1^5 + 79/101*c_1100_1^4 + 311/101*c_1100_1^3 + 219/101*c_1100_1^2 - 437/101*c_1100_1 + 144/101, c_1001_1 - 44/101*c_1100_1^5 - 411/101*c_1100_1^4 - 631/101*c_1100_1^3 + 1626/101*c_1100_1^2 - 869/101*c_1100_1 + 156/101, c_1001_9 - 14/101*c_1100_1^5 - 117/101*c_1100_1^4 - 86/101*c_1100_1^3 + 701/101*c_1100_1^2 - 428/101*c_1100_1 + 68/101, c_1100_1^6 + 9*c_1100_1^5 + 11*c_1100_1^4 - 42*c_1100_1^3 + 36*c_1100_1^2 - 12*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB