Magma V2.19-8 Tue Aug 20 2013 17:58:16 on localhost [Seed = 2050739746] Type ? for help. Type -D to quit. Loading file "10^2_60__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_60 geometric_solution 11.36375264 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -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 0.781226980089 0.484610414667 0 3 5 4 0132 3120 0132 2103 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 1 0 -1 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 1.243761312531 0.736777799860 6 0 7 6 0132 0132 0132 2031 0 1 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 -1 0 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 0.075649170397 0.573392945006 8 1 8 0 0132 3120 3120 0132 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 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 0.370848386501 0.441552581134 9 10 0 1 0132 0132 0132 2103 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 0 0 0 0 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 0.807729543385 0.712924432274 9 11 8 1 3120 0132 2031 0132 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 -1 1 0 0 0 0 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085666887537 1.238046400307 2 2 7 12 0132 1302 1302 0132 1 1 0 0 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 5 -5 -1 0 0 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773845566969 1.714167593653 6 12 10 2 2031 2031 2103 0132 0 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 0 0 0 -5 0 4 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 1.004882321803 0.813271622220 3 11 3 5 0132 0213 3120 1302 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 -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 0.370848386501 0.441552581134 4 12 11 5 0132 0321 2031 3120 1 1 0 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 5 0 -5 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 0.759594394044 0.926409008875 7 4 11 12 2103 0132 3201 2031 0 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.193953226714 0.864535725329 10 5 8 9 2310 0132 0213 1302 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213030821165 0.559088248820 7 10 6 9 1302 1302 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 -1 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 0.386038961723 0.309054549860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), '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_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_1100_9' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0101_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_9'], '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'], 'c_1100_12' : d['c_0101_10'], '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_7']), '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_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1261170/12617*c_1001_1^5 - 1970609/25234*c_1001_1^4 - 17515767/25234*c_1001_1^3 + 3894787/25234*c_1001_1^2 + 38893941/12617*c_1001_1 - 76867829/25234, c_0011_0 - 1, c_0011_10 + 9/11*c_1001_1^5 + 6/11*c_1001_1^4 - 49/11*c_1001_1^3 - 48/11*c_1001_1^2 + 177/11*c_1001_1 - 85/11, c_0011_11 - 28/11*c_1001_1^5 + 7/11*c_1001_1^4 + 183/11*c_1001_1^3 + 43/11*c_1001_1^2 - 756/11*c_1001_1 + 581/11, c_0011_12 - 5/11*c_1001_1^5 + 4/11*c_1001_1^4 + 37/11*c_1001_1^3 + 1/11*c_1001_1^2 - 157/11*c_1001_1 + 123/11, c_0011_3 + 16/11*c_1001_1^5 - 4/11*c_1001_1^4 - 103/11*c_1001_1^3 - 23/11*c_1001_1^2 + 432/11*c_1001_1 - 332/11, c_0011_7 + 1, c_0101_0 - 1, c_0101_1 - 5/11*c_1001_1^5 + 4/11*c_1001_1^4 + 37/11*c_1001_1^3 + 1/11*c_1001_1^2 - 157/11*c_1001_1 + 112/11, c_0101_10 + 5/11*c_1001_1^5 - 4/11*c_1001_1^4 - 37/11*c_1001_1^3 - 1/11*c_1001_1^2 + 157/11*c_1001_1 - 123/11, c_0101_3 - 16/11*c_1001_1^5 + 4/11*c_1001_1^4 + 103/11*c_1001_1^3 + 23/11*c_1001_1^2 - 421/11*c_1001_1 + 332/11, c_0101_9 - 12/11*c_1001_1^5 + 3/11*c_1001_1^4 + 80/11*c_1001_1^3 + 20/11*c_1001_1^2 - 324/11*c_1001_1 + 249/11, c_0110_10 + 5/11*c_1001_1^5 - 4/11*c_1001_1^4 - 37/11*c_1001_1^3 - 1/11*c_1001_1^2 + 157/11*c_1001_1 - 134/11, c_1001_1^6 - 2*c_1001_1^5 - 6*c_1001_1^4 + 10*c_1001_1^3 + 29*c_1001_1^2 - 68*c_1001_1 + 37 ], 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 6430/5243*c_1001_1^5 - 6883/10486*c_1001_1^4 + 20379/5243*c_1001_1^3 - 172659/10486*c_1001_1^2 + 167991/10486*c_1001_1 - 30133/5243, c_0011_0 - 1, c_0011_10 + 69/107*c_1001_1^5 - 94/107*c_1001_1^4 + 199/107*c_1001_1^3 - 1112/107*c_1001_1^2 + 1571/107*c_1001_1 - 541/107, c_0011_11 + 4/107*c_1001_1^5 - 7/107*c_1001_1^4 + 41/107*c_1001_1^3 - 35/107*c_1001_1^2 + 150/107*c_1001_1 - 219/107, c_0011_12 - 19/107*c_1001_1^5 + 60/107*c_1001_1^4 - 61/107*c_1001_1^3 + 407/107*c_1001_1^2 - 873/107*c_1001_1 + 425/107, c_0011_3 - 16/107*c_1001_1^5 + 28/107*c_1001_1^4 - 57/107*c_1001_1^3 + 247/107*c_1001_1^2 - 386/107*c_1001_1 + 234/107, c_0011_7 - 1, c_0101_0 - 1, c_0101_1 - 19/107*c_1001_1^5 + 60/107*c_1001_1^4 - 61/107*c_1001_1^3 + 407/107*c_1001_1^2 - 873/107*c_1001_1 + 318/107, c_0101_10 + 19/107*c_1001_1^5 - 60/107*c_1001_1^4 + 61/107*c_1001_1^3 - 407/107*c_1001_1^2 + 873/107*c_1001_1 - 425/107, c_0101_3 + 16/107*c_1001_1^5 - 28/107*c_1001_1^4 + 57/107*c_1001_1^3 - 247/107*c_1001_1^2 + 493/107*c_1001_1 - 234/107, c_0101_9 - 12/107*c_1001_1^5 + 21/107*c_1001_1^4 - 16/107*c_1001_1^3 + 212/107*c_1001_1^2 - 236/107*c_1001_1 + 15/107, c_0110_10 - 19/107*c_1001_1^5 + 60/107*c_1001_1^4 - 61/107*c_1001_1^3 + 407/107*c_1001_1^2 - 873/107*c_1001_1 + 532/107, c_1001_1^6 - 2*c_1001_1^5 + 4*c_1001_1^4 - 18*c_1001_1^3 + 33*c_1001_1^2 - 24*c_1001_1 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB