Magma V2.19-8 Wed Aug 21 2013 01:06:54 on localhost [Seed = 3347177268] Type ? for help. Type -D to quit. Loading file "L14n32861__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32861 geometric_solution 11.73867943 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 -1 1 1 0 -1 0 0 -1 0 1 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114111107000 1.021156606631 0 0 5 4 0132 1302 0132 0132 1 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 -1 0 1 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 0.891917943566 0.967203884771 6 0 6 7 0132 0132 3012 0132 1 1 1 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 2 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449406605713 0.748769293865 6 8 4 0 2031 0132 3012 0132 1 1 1 1 0 0 0 0 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 -1 0 1 -1 0 0 1 0 3 0 -3 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053395048717 0.752145221331 7 3 1 9 3120 1230 0132 0132 1 1 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412567002733 0.363875134516 10 10 8 1 0132 1230 1023 0132 1 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 0 0 0 0 0 0 0 0 0 1 -1 2 -1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256675376737 0.486213721313 2 2 3 10 0132 1230 1302 2031 1 1 0 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 1 -1 0 0 2 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637402118621 0.866823211502 11 9 2 4 0132 2103 0132 3120 1 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 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 0.570566442709 0.860822733276 11 3 5 12 3012 0132 1023 0132 1 1 1 1 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 -1 0 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778083856651 1.159490627675 11 7 4 12 2103 2103 0132 3201 1 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 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 0.922537721022 0.523557905066 5 6 5 11 0132 1302 3012 2031 1 1 1 0 0 -1 0 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 2 0 -2 0 0 0 0 -1 1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150885751503 1.608455800593 7 10 9 8 0132 1302 2103 1230 1 1 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.812156505342 2.056189895880 12 9 8 12 3012 2310 0132 1230 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.166825336934 1.062215406183 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_1'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : d['c_0011_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 289/13*c_1001_4^5 + 4479/91*c_1001_4^4 + 9488/91*c_1001_4^3 + 16504/91*c_1001_4^2 + 11920/91*c_1001_4 - 6376/91, c_0011_0 - 1, c_0011_10 + 5/13*c_1001_4^5 + 19/13*c_1001_4^4 + 41/13*c_1001_4^3 + 84/13*c_1001_4^2 + 105/13*c_1001_4 + 58/13, c_0011_11 - 1/13*c_1001_4^5 - 9/13*c_1001_4^4 - 16/13*c_1001_4^3 - 35/13*c_1001_4^2 - 47/13*c_1001_4 - 22/13, c_0011_12 - 5/13*c_1001_4^5 - 19/13*c_1001_4^4 - 41/13*c_1001_4^3 - 71/13*c_1001_4^2 - 79/13*c_1001_4 - 32/13, c_0011_3 - 5/13*c_1001_4^5 - 19/13*c_1001_4^4 - 41/13*c_1001_4^3 - 84/13*c_1001_4^2 - 92/13*c_1001_4 - 32/13, c_0011_4 - 4/13*c_1001_4^5 - 10/13*c_1001_4^4 - 25/13*c_1001_4^3 - 49/13*c_1001_4^2 - 58/13*c_1001_4 - 23/13, c_0011_9 + 4/13*c_1001_4^5 + 10/13*c_1001_4^4 + 25/13*c_1001_4^3 + 49/13*c_1001_4^2 + 45/13*c_1001_4 + 23/13, c_0101_0 - 1, c_0101_1 - 3/13*c_1001_4^5 - 14/13*c_1001_4^4 - 35/13*c_1001_4^3 - 66/13*c_1001_4^2 - 89/13*c_1001_4 - 53/13, c_0101_11 + c_1001_4^2 + c_1001_4, c_0101_12 - c_1001_4^2 - 2*c_1001_4 - 1, c_0101_8 - c_1001_4, c_1001_4^6 + 4*c_1001_4^5 + 10*c_1001_4^4 + 20*c_1001_4^3 + 28*c_1001_4^2 + 21*c_1001_4 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.110 Total time: 1.310 seconds, Total memory usage: 32.09MB