Magma V2.19-8 Tue Aug 20 2013 23:53:02 on localhost [Seed = 660688100] Type ? for help. Type -D to quit. Loading file "L13n4622__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4622 geometric_solution 10.78301279 oriented_manifold CS_known -0.0000000000000004 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 1 0 -1 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 2 0 -2 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957621367859 0.826903771452 0 5 6 2 0132 0132 0132 0132 1 1 0 0 0 0 1 -1 -1 0 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 2 -2 -2 0 -1 3 0 -1 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720350093890 0.623364252349 3 0 1 7 0132 0132 0132 0132 1 1 0 0 0 0 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 1 2 -3 0 0 -3 3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.429833483803 0.834088130487 2 8 9 0 0132 0132 0132 0132 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 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 0.454010297103 0.569242885064 10 11 0 7 0132 0132 0132 2103 1 1 1 0 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 0 -1 1 0 0 0 0 -3 0 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893250312838 0.755188767146 8 1 11 9 0132 0132 0132 0321 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 -1 0 1 0 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.120023949236 0.820951465548 10 8 11 1 3120 0321 3120 0132 1 1 0 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 2 -2 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 0.827341924436 0.486747189019 10 8 2 4 1302 0213 0132 2103 1 1 1 0 0 0 1 -1 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 3 -3 3 0 -3 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 0.662952721007 0.400268551732 5 3 7 6 0132 0132 0213 0321 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 0 -1 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 -0.120023949236 0.820951465548 11 5 10 3 0321 0321 0321 0132 1 1 0 1 0 0 0 0 -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 0 0 0 0 -2 0 0 2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626332262801 0.684762380866 4 7 9 6 0132 2031 0321 3120 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281878744845 0.535781657178 9 4 6 5 0321 0132 3120 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 1 -1 3 -3 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650126865133 1.036103875180 ==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_11'], 'c_1001_10' : negation(d['c_0110_7']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_7']), 'c_1100_8' : negation(d['c_1001_11']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : 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' : 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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_10'], '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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_7, c_1001_0, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 97186053275302037/535363584*c_1001_2^6 + 580905644047037857/267681792*c_1001_2^5 - 2208851689424821201/267681792*c_1001_2^4 + 6699232189276096367/535363584*c_1001_2^3 - 4512544179379044649/267681792*c_1001_2^2 + 6489625273539697423/535363584*c_1001_2 - 610358218918193611/76480512, c_0011_0 - 1, c_0011_10 - 166/2723*c_1001_2^6 + 1873/2723*c_1001_2^5 - 6455/2723*c_1001_2^4 + 1102/389*c_1001_2^3 - 9375/2723*c_1001_2^2 + 5991/2723*c_1001_2 - 1349/2723, c_0011_6 - 5/2723*c_1001_2^6 + 115/2723*c_1001_2^5 - 158/389*c_1001_2^4 + 3963/2723*c_1001_2^3 - 3617/2723*c_1001_2^2 + 3187/2723*c_1001_2 - 1060/2723, c_0101_0 - 1, c_0101_1 + 109/2723*c_1001_2^6 - 1340/2723*c_1001_2^5 + 4972/2723*c_1001_2^4 - 6415/2723*c_1001_2^3 + 8286/2723*c_1001_2^2 - 4358/2723*c_1001_2 + 1713/2723, c_0101_10 - 17/389*c_1001_2^6 + 1181/2723*c_1001_2^5 - 4072/2723*c_1001_2^4 + 6561/2723*c_1001_2^3 - 5795/2723*c_1001_2^2 + 3730/2723*c_1001_2 - 332/2723, c_0101_6 - 25/2723*c_1001_2^6 + 575/2723*c_1001_2^5 - 401/389*c_1001_2^4 + 3477/2723*c_1001_2^3 - 1747/2723*c_1001_2^2 - 403/2723*c_1001_2 + 146/2723, c_0110_7 - 32/2723*c_1001_2^6 - 6/389*c_1001_2^5 + 1324/2723*c_1001_2^4 - 2178/2723*c_1001_2^3 + 483/389*c_1001_2^2 - 687/2723*c_1001_2 + 218/2723, c_1001_0 - c_1001_2, c_1001_1 + 87/2723*c_1001_2^6 - 1223/2723*c_1001_2^5 + 5396/2723*c_1001_2^4 - 8739/2723*c_1001_2^3 + 9176/2723*c_1001_2^2 - 1020/389*c_1001_2 + 550/2723, c_1001_11 + 25/2723*c_1001_2^6 - 575/2723*c_1001_2^5 + 401/389*c_1001_2^4 - 3477/2723*c_1001_2^3 + 1747/2723*c_1001_2^2 + 403/2723*c_1001_2 - 146/2723, c_1001_2^7 - 12*c_1001_2^6 + 46*c_1001_2^5 - 71*c_1001_2^4 + 96*c_1001_2^3 - 71*c_1001_2^2 + 47*c_1001_2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB