Magma V2.19-8 Tue Aug 20 2013 23:43:38 on localhost [Seed = 2884488865] Type ? for help. Type -D to quit. Loading file "L13n9742__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9742 geometric_solution 10.34134816 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 2 2 1 0 1 -2 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 -2 3 -1 -1 0 1 0 -7 7 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846301204515 1.213286997780 0 5 7 6 0132 0132 0132 0132 1 2 1 2 0 -1 0 1 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 3 0 -3 1 0 6 -7 2 0 0 -2 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851797381499 0.616172070430 6 0 7 3 3201 0132 3201 0132 0 2 1 2 0 -1 0 1 1 0 -1 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 2 0 -2 -6 0 7 -1 3 -2 0 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411581625651 0.432839695145 8 9 2 0 0132 0132 0132 0132 0 2 1 1 0 -1 -1 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 1 2 -3 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226518613553 1.108889960448 5 7 0 9 0132 3201 0132 0132 0 2 1 2 0 0 -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 1 -1 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411581625651 0.432839695145 4 1 8 6 0132 0132 3120 3120 1 2 2 1 0 1 0 -1 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 -3 0 3 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792792017968 0.728334783354 5 10 1 2 3120 0132 0132 2310 1 2 2 1 0 0 -1 1 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 0 3 -3 0 0 7 -7 -6 0 0 6 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792792017968 0.728334783354 2 9 4 1 2310 2310 2310 0132 1 2 2 0 0 0 0 0 0 0 -1 1 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 6 -6 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846301204515 1.213286997780 3 10 5 10 0132 2310 3120 1302 1 2 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 0.423150602257 0.606643498890 10 3 4 7 0321 0132 0132 3201 0 2 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 -1 1 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 0.226518613553 1.108889960448 9 6 8 8 0321 0132 2031 3201 1 1 1 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 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 0.823163251302 0.865679390291 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : 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_1100_9' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : negation(d['c_0011_7']), 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 14899/600*c_1001_5^5 + 13753/2400*c_1001_5^4 + 9319/120*c_1001_5^3 - 56469/200*c_1001_5^2 + 23953/60*c_1001_5 - 28241/150, c_0011_0 - 1, c_0011_10 + 7/75*c_1001_5^5 + 71/300*c_1001_5^4 - 13/60*c_1001_5^3 + 9/50*c_1001_5^2 + 7/15*c_1001_5 - 73/75, c_0011_3 - 16/75*c_1001_5^5 + 13/75*c_1001_5^4 + 49/60*c_1001_5^3 - 117/50*c_1001_5^2 + 74/15*c_1001_5 - 176/75, c_0011_7 - 88/75*c_1001_5^5 + 34/75*c_1001_5^4 + 58/15*c_1001_5^3 - 681/50*c_1001_5^2 + 317/15*c_1001_5 - 743/75, c_0101_0 + 7/75*c_1001_5^5 + 71/300*c_1001_5^4 - 13/60*c_1001_5^3 + 9/50*c_1001_5^2 + 7/15*c_1001_5 - 73/75, c_0101_1 - 1, c_0101_10 + 71/75*c_1001_5^5 + 163/300*c_1001_5^4 - 67/30*c_1001_5^3 + 226/25*c_1001_5^2 - 139/15*c_1001_5 + 181/75, c_0101_3 + 71/75*c_1001_5^5 + 163/300*c_1001_5^4 - 67/30*c_1001_5^3 + 226/25*c_1001_5^2 - 139/15*c_1001_5 + 181/75, c_0101_7 - 74/75*c_1001_5^5 + 139/150*c_1001_5^4 + 103/30*c_1001_5^3 - 663/50*c_1001_5^2 + 331/15*c_1001_5 - 964/75, c_1001_0 - 1, c_1001_5^6 - 3/4*c_1001_5^5 - 3*c_1001_5^4 + 13*c_1001_5^3 - 22*c_1001_5^2 + 16*c_1001_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB