Magma V2.19-8 Wed Aug 21 2013 01:01:28 on localhost [Seed = 2934486376] Type ? for help. Type -D to quit. Loading file "L14n12115__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12115 geometric_solution 11.10643905 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 -1 0 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 0 0 0 1.052460351302 1.301140817312 0 5 5 6 0132 0132 1302 0132 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 1 0 0 -1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800756449004 0.560034436856 4 0 8 7 0213 0132 0132 0132 0 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 1 0 -1 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 0.731465248624 1.004432155148 9 10 11 0 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004484240923 1.573144412290 2 10 0 7 0213 0321 0132 0213 0 1 1 1 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 0 -1 1 1 0 -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 -0.268534751376 1.004432155148 1 1 8 7 2031 0132 3201 2310 1 1 1 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161379377967 0.586515947989 9 11 1 10 1230 3012 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 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 0.571635251146 0.512114412873 5 11 2 4 3201 0213 0132 0213 0 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 1 -1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.052460351302 1.301140817312 5 10 11 2 2310 0213 0213 0132 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533732849817 1.370629561500 3 6 12 12 0132 3012 0132 3201 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 0.147613232674 0.482650398587 6 3 8 4 3012 0132 0213 0321 0 1 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 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 -0.466267150183 1.370629561500 6 8 7 3 1230 0213 0213 0132 0 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 0.294900943351 0.508746607236 12 9 12 9 2310 2310 3201 0132 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 -1.131539891798 0.837208885857 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : negation(d['c_0011_7']), '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_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' : 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_11'], 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1010_7'], 'c_1100_3' : d['c_1010_7'], 'c_1100_2' : d['c_1001_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_7'], 'c_1100_10' : d['c_1001_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : d['c_1001_2'], '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_12']), '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' : 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_10'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_7'], 'c_0011_10' : 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_4, c_0011_6, c_0011_7, c_0101_0, c_0101_7, c_1001_0, c_1001_2, c_1001_3, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 225/416*c_1010_7^5 + 12851/21632*c_1010_7^4 + 487/832*c_1010_7^3 + 1953/5408*c_1010_7^2 + 5123/10816*c_1010_7 + 317/1664, c_0011_0 - 1, c_0011_10 + 39/32*c_1010_7^5 - 19/32*c_1010_7^4 - 3/16*c_1010_7^3 - 5/16*c_1010_7^2 - 1/32*c_1010_7 - 35/32, c_0011_11 + 39/32*c_1010_7^5 + 85/32*c_1010_7^4 - 11/16*c_1010_7^3 + 19/16*c_1010_7^2 + 47/32*c_1010_7 - 27/32, c_0011_12 + 39/32*c_1010_7^5 - 45/32*c_1010_7^4 - 1/16*c_1010_7^3 - 37/16*c_1010_7^2 - 5/32*c_1010_7 - 73/32, c_0011_4 + 13/4*c_1010_7^4 - 1/2*c_1010_7^3 + 3/2*c_1010_7^2 + 3/2*c_1010_7 + 1/4, c_0011_6 - 39/32*c_1010_7^5 + 19/32*c_1010_7^4 + 3/16*c_1010_7^3 + 5/16*c_1010_7^2 + 1/32*c_1010_7 + 35/32, c_0011_7 - 13/32*c_1010_7^5 + 15/32*c_1010_7^4 - 17/16*c_1010_7^3 + 15/16*c_1010_7^2 - 49/32*c_1010_7 + 19/32, c_0101_0 - 13/32*c_1010_7^5 - 11/32*c_1010_7^4 - 15/16*c_1010_7^3 - 17/16*c_1010_7^2 - 53/32*c_1010_7 - 19/32, c_0101_7 - 13/8*c_1010_7^4 + 1/4*c_1010_7^3 - 3/4*c_1010_7^2 - 3/4*c_1010_7 - 1/8, c_1001_0 - 1, c_1001_2 + c_1010_7 - 1, c_1001_3 - 13/8*c_1010_7^5 - 11/8*c_1010_7^4 - 1/2*c_1010_7^3 - 3/2*c_1010_7^2 - 7/8*c_1010_7 - 1/8, c_1010_7^6 - 2/13*c_1010_7^5 + 19/13*c_1010_7^4 + 4/13*c_1010_7^3 + 19/13*c_1010_7^2 - 2/13*c_1010_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB