Magma V2.19-8 Tue Aug 20 2013 23:47:40 on localhost [Seed = 4223504814] Type ? for help. Type -D to quit. Loading file "L11a397__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a397 geometric_solution 10.31877867 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 2 0 2 2 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 0 0 1 -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 0.970838920251 0.552004555911 0 0 5 4 0132 1302 0132 0132 0 0 2 2 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 1 0 -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 0.221608455847 0.442581843076 6 0 8 7 0132 0132 0132 0132 2 0 2 2 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 1 0 1 0 0 -1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904981268140 0.944048612314 7 9 5 0 3120 0132 2103 0132 2 0 2 2 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 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 0.771404573356 0.617921120848 7 5 1 10 0132 0132 0132 0132 0 0 2 2 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 0.357471902209 1.416072918471 3 4 11 1 2103 0132 0132 0132 0 0 2 2 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 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 -0.952282469613 0.903268822606 2 8 10 10 0132 3120 2103 2031 1 0 2 2 0 0 0 0 0 0 0 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 -1 0 1 -1 0 0 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 1.047717530387 0.903268822606 4 9 2 3 0132 1302 0132 3120 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.931534202167 0.941684071345 11 6 11 2 1023 3120 2103 0132 2 0 2 1 0 -1 1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047717530387 0.903268822606 9 3 9 7 2310 0132 3201 2031 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.454799280529 0.865118072139 6 6 4 11 2103 1302 0132 0132 0 0 1 2 0 0 0 0 0 0 -1 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 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 1.047717530387 0.903268822606 8 8 10 5 2103 1023 0132 0132 0 0 2 1 0 0 0 0 0 0 -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 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552773153294 0.524322111638 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_3']), 's_3_1' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], '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_9'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_9']), 'c_0110_8' : d['c_0101_2'], '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_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 49926114/2629*c_1100_1^5 + 1050500443/36806*c_1100_1^4 - 92320291/5258*c_1100_1^3 + 100298486/18403*c_1100_1^2 - 15320638/18403*c_1100_1 + 1770319/36806, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + 4095*c_1100_1^5 - 60682/7*c_1100_1^4 + 7084*c_1100_1^3 - 20106/7*c_1100_1^2 + 4089/7*c_1100_1 - 334/7, c_0011_4 + 12159*c_1100_1^5 - 148454/7*c_1100_1^4 + 15399*c_1100_1^3 - 40583/7*c_1100_1^2 + 7870/7*c_1100_1 - 626/7, c_0101_0 - 1, c_0101_1 + 3717*c_1100_1^5 - 43255/7*c_1100_1^4 + 4222*c_1100_1^3 - 10223/7*c_1100_1^2 + 1762/7*c_1100_1 - 116/7, c_0101_10 + 20349*c_1100_1^5 - 251296/7*c_1100_1^4 + 26252*c_1100_1^3 - 69462/7*c_1100_1^2 + 13486/7*c_1100_1 - 1070/7, c_0101_11 - 3969*c_1100_1^5 + 6516*c_1100_1^4 - 4546*c_1100_1^3 + 1672*c_1100_1^2 - 322*c_1100_1 + 26, c_0101_2 + 16380*c_1100_1^5 - 205684/7*c_1100_1^4 + 21706*c_1100_1^3 - 57758/7*c_1100_1^2 + 11232/7*c_1100_1 - 888/7, c_0101_3 - 12411*c_1100_1^5 + 160072/7*c_1100_1^4 - 17160*c_1100_1^3 + 46054/7*c_1100_1^2 - 8978/7*c_1100_1 + 706/7, c_0101_9 - 7749*c_1100_1^5 + 87141/7*c_1100_1^4 - 8159*c_1100_1^3 + 18785/7*c_1100_1^2 - 3061/7*c_1100_1 + 199/7, c_1100_1^6 - 920/441*c_1100_1^5 + 272/147*c_1100_1^4 - 131/147*c_1100_1^3 + 12/49*c_1100_1^2 - 16/441*c_1100_1 + 1/441 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB