Magma V2.19-8 Tue Aug 20 2013 23:40:57 on localhost [Seed = 2665020024] Type ? for help. Type -D to quit. Loading file "L12n659__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n659 geometric_solution 9.04650996 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 1 -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 1.217795016836 1.034484919519 0 5 4 3 0132 0132 1230 2031 0 0 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 -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 0.711746745830 1.724284064362 6 0 8 7 0132 0132 0132 0132 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 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 0.188717906251 1.319109576308 8 1 9 0 0321 1302 0132 0132 0 0 0 0 0 1 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 0 0 0 1 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 0 0 0.738754718986 0.696889311633 7 9 0 1 1302 3012 0132 3012 0 0 0 0 0 0 0 0 0 0 -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 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 0.594358953125 0.659554788154 6 1 6 6 1023 0132 2031 3012 0 1 0 0 0 0 0 0 -1 0 1 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 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 0.042752604864 0.499942902655 2 5 5 5 0132 1023 1230 1302 1 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042752604864 0.499942902655 9 4 2 8 2031 2031 0132 3012 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415096144291 0.992853656627 3 9 7 2 0321 3120 1230 0132 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 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 1.180776044579 0.800946215138 4 8 7 3 1230 3120 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636035043748 0.573530344523 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : d['c_0110_7'], 'c_1001_8' : negation(d['c_0110_7']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['c_0101_6'], 'c_1100_8' : d['c_0110_7'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0110_7'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0110_7'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_9']), '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' : negation(d['1']), 's_3_8' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], '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_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_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0011_4']), 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_7']), 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0011_9, c_0101_5, c_0101_6, c_0110_4, c_0110_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1811213939937/3359878742*c_0110_7^3 - 4102351786211/13439514968*c_0110_7^2 + 373493886059/3359878742*c_0110_7 + 1893276446047/13439514968, c_0011_0 - 1, c_0011_3 - 13950/12889*c_0110_7^3 + 361/25778*c_0110_7^2 + 2261/25778*c_0110_7 - 10658/12889, c_0011_4 - 32209/12889*c_0110_7^3 + 79803/51556*c_0110_7^2 + 609/25778*c_0110_7 - 7293/51556, c_0011_7 - 372/12889*c_0110_7^3 - 21305/12889*c_0110_7^2 + 13091/12889*c_0110_7 + 2981/12889, c_0011_8 - 13671/12889*c_0110_7^3 + 64637/51556*c_0110_7^2 - 10931/25778*c_0110_7 - 19/51556, c_0011_9 + 13485/12889*c_0110_7^3 - 107247/51556*c_0110_7^2 + 11133/25778*c_0110_7 + 5981/51556, c_0101_5 - 1, c_0101_6 + 13950/12889*c_0110_7^3 - 361/25778*c_0110_7^2 - 2261/25778*c_0110_7 - 2231/12889, c_0110_4 - 186/12889*c_0110_7^3 - 21305/25778*c_0110_7^2 + 12990/12889*c_0110_7 + 2981/25778, c_0110_7^4 - 49/124*c_0110_7^3 - 13/124*c_0110_7^2 + 25/124*c_0110_7 + 17/124 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB