Magma V2.19-8 Tue Aug 20 2013 23:48:45 on localhost [Seed = 1578644729] Type ? for help. Type -D to quit. Loading file "L12a1849__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1849 geometric_solution 11.22021479 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 2 2 1 0 0 -1 1 0 0 0 0 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 0 3 -3 1 0 -1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623624338256 0.261915735411 0 2 6 5 0132 0213 0132 0132 1 2 1 2 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 -1 0 1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485912607402 1.031229438408 3 0 1 7 2031 0132 0213 0132 1 1 1 2 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 0 0 0 -3 0 1 2 2 -2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632613324010 0.503940647475 4 7 2 0 3120 2310 1302 0132 1 2 1 1 0 0 -1 1 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 3 -3 0 0 -1 1 0 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632613324010 0.503940647475 8 9 0 3 0132 0132 0132 3120 1 2 1 2 0 0 -1 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 -1 3 -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 0.485912607402 1.031229438408 10 9 1 10 0132 0213 0132 2031 1 2 0 1 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 1 0 -1 0 0 0 0 3 -1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148979467194 0.842748330700 8 11 8 1 3120 0132 3012 0132 1 2 2 2 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 1 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148979467194 0.842748330700 7 7 2 3 1302 2031 0132 3201 1 1 1 1 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 -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 0.728911741917 0.736654877558 4 6 10 6 0132 1230 0132 3120 2 2 2 1 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 -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 0.148979467194 0.842748330700 11 4 5 11 3120 0132 0213 0132 1 0 2 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 -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 0 0 0 0 0.148979467194 0.842748330700 5 5 11 8 0132 1302 3201 0132 2 2 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 -1 1 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796592744130 1.150635913561 10 6 9 9 2310 0132 0132 3120 1 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 -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 0.796592744130 1.150635913561 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0110_7']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_1001_8'], '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_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0110_7']), 'c_1010_2' : negation(d['c_0110_7']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_1'], '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_7']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0110_7, c_1001_1, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1804/395*c_1001_8^8 - 5106/395*c_1001_8^7 + 11767/395*c_1001_8^6 - 4851/395*c_1001_8^5 - 10729/395*c_1001_8^4 + 16413/395*c_1001_8^3 - 1859/79*c_1001_8^2 + 184/79*c_1001_8 + 1076/395, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 93/395*c_1001_8^8 + 66/395*c_1001_8^7 - 99/395*c_1001_8^6 + 1183/395*c_1001_8^5 + 15/79*c_1001_8^4 - 1833/395*c_1001_8^3 + 609/395*c_1001_8^2 + 492/395*c_1001_8 - 387/395, c_0011_3 - 72/79*c_1001_8^8 + 112/79*c_1001_8^7 - 247/79*c_1001_8^6 - 317/79*c_1001_8^5 + 472/79*c_1001_8^4 - 87/79*c_1001_8^3 - 209/79*c_1001_8^2 + 9/79*c_1001_8 + 83/79, c_0011_4 - c_1001_8, c_0011_7 + 88/79*c_1001_8^8 - 93/79*c_1001_8^7 + 258/79*c_1001_8^6 + 484/79*c_1001_8^5 - 296/79*c_1001_8^4 - 78/79*c_1001_8^3 + 36/79*c_1001_8^2 - 11/79*c_1001_8 - 119/79, c_0101_0 - 14/79*c_1001_8^8 + 13/79*c_1001_8^7 - 59/79*c_1001_8^6 - 77/79*c_1001_8^5 + 4/79*c_1001_8^4 - 142/79*c_1001_8^3 + 23/79*c_1001_8^2 + 61/79*c_1001_8 - 8/79, c_0101_1 - 1, c_0101_10 + 131/395*c_1001_8^8 - 353/395*c_1001_8^7 + 727/395*c_1001_8^6 - 109/395*c_1001_8^5 - 249/79*c_1001_8^4 + 1024/395*c_1001_8^3 - 582/395*c_1001_8^2 - 441/395*c_1001_8 + 436/395, c_0110_7 - 72/79*c_1001_8^8 + 112/79*c_1001_8^7 - 247/79*c_1001_8^6 - 317/79*c_1001_8^5 + 472/79*c_1001_8^4 - 87/79*c_1001_8^3 - 209/79*c_1001_8^2 + 88/79*c_1001_8 + 162/79, c_1001_1 - 14/79*c_1001_8^8 + 13/79*c_1001_8^7 - 59/79*c_1001_8^6 - 77/79*c_1001_8^5 + 4/79*c_1001_8^4 - 142/79*c_1001_8^3 + 23/79*c_1001_8^2 + 61/79*c_1001_8 - 8/79, c_1001_8^9 - 2*c_1001_8^8 + 4*c_1001_8^7 + 3*c_1001_8^6 - 9*c_1001_8^5 + 4*c_1001_8^4 + 2*c_1001_8^3 - 3*c_1001_8^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB