Magma V2.19-8 Tue Aug 20 2013 23:30:28 on localhost [Seed = 4055341005] Type ? for help. Type -D to quit. Loading file "L12n19__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n19 geometric_solution 8.14071922 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 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 -1 1 10 0 -10 0 0 0 0 0 -9 10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152734085554 0.676574091227 0 4 6 5 0132 2310 0132 0132 1 1 1 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 -10 0 0 10 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479506865623 0.589740696331 3 0 6 7 2310 0132 0321 0132 1 0 1 1 0 0 0 0 -1 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 -1 0 0 1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469817729472 0.704066470019 5 8 2 0 1302 0132 3201 0132 1 1 1 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 -1 0 1 0 0 -10 10 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173884199490 1.234248740547 7 8 0 1 1230 1230 0132 3201 1 1 1 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 0 0 0 0 1 -1 0 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172115704886 1.491365744105 7 3 1 8 0213 2031 0132 1023 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 9 0 -10 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 0.000000000000 1.000000000000 7 8 2 1 3201 3012 0321 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.020805500999 0.829997402656 5 4 2 6 0213 3012 0132 2310 1 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 0 0 0 0 0 0 0 0 -1 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.163481448991 0.819250039219 6 3 4 5 1230 0132 3012 1023 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 1 0 -1 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 1.020805500999 0.829997402656 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_4']), 's_2_8' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : negation(d['c_1001_2']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_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' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_3'], '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_0011_5'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_7'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_1, c_0101_2, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 409/420*c_1001_2^5 - 383/140*c_1001_2^4 + 47/40*c_1001_2^3 + 269/60*c_1001_2^2 - 149/35*c_1001_2 + 871/210, c_0011_0 - 1, c_0011_3 - 3/7*c_1001_2^5 - 8/7*c_1001_2^4 + 1/2*c_1001_2^3 + 3/2*c_1001_2^2 - 17/7*c_1001_2 + 13/7, c_0011_4 - 3/35*c_1001_2^5 - 22/35*c_1001_2^4 - 11/10*c_1001_2^3 - 1/10*c_1001_2^2 - 2/7*c_1001_2 - 43/35, c_0011_5 + 11/70*c_1001_2^5 + 69/70*c_1001_2^4 + 37/20*c_1001_2^3 + 3/5*c_1001_2^2 - 1/7*c_1001_2 + 73/35, c_0011_7 - 9/70*c_1001_2^5 - 31/70*c_1001_2^4 - 3/20*c_1001_2^3 + 3/5*c_1001_2^2 - 3/7*c_1001_2 - 12/35, c_0101_1 + 3/35*c_1001_2^5 + 22/35*c_1001_2^4 + 11/10*c_1001_2^3 + 1/10*c_1001_2^2 + 2/7*c_1001_2 + 43/35, c_0101_2 - 1, c_0101_8 + 2/5*c_1001_2^5 + 8/5*c_1001_2^4 + 9/5*c_1001_2^3 + 4/5*c_1001_2^2 + 2*c_1001_2 + 7/5, c_1001_2^6 + 3*c_1001_2^5 + 1/2*c_1001_2^4 + 8*c_1001_2^2 - 4*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB