Magma V2.19-8 Wed Aug 21 2013 01:14:04 on localhost [Seed = 2564720170] Type ? for help. Type -D to quit. Loading file "L9a42__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a42 geometric_solution 12.95742943 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 -1 1 -1 0 0 1 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350865511832 0.790014934727 0 5 5 6 0132 0132 0321 0132 1 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 -1 0 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 0.254469166454 0.930319993120 7 0 8 6 0132 0132 0132 2310 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 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287057824155 1.409689389212 9 10 9 0 0132 0132 3012 0132 0 0 0 1 0 1 -1 0 0 0 0 0 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 1 -2 1 0 0 0 0 2 0 0 -2 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586209806808 0.901774203627 9 11 0 11 3120 0132 0132 1230 0 0 1 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 1 -1 0 2 0 -1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586209806808 0.901774203627 7 1 1 8 1023 0132 0321 3201 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 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 0.254469166454 0.930319993120 2 12 1 12 3201 0132 0132 0213 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 -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 0.306635619435 0.860062577615 2 5 9 11 0132 1023 0321 2103 0 0 0 0 0 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 0 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350865511832 0.790014934727 10 5 10 2 3012 2310 1302 0132 0 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 0 0 0 0 0 0 0 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 0.306635619435 0.860062577615 3 3 7 4 0132 1230 0321 3120 0 0 1 0 0 0 0 0 0 0 1 -1 -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 2 -2 -4 5 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420339486631 0.916047098374 8 3 12 8 2031 0132 1302 1230 0 0 1 0 0 -1 0 1 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 -1 0 1 0 0 0 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 0.632213664887 1.031580297068 4 4 12 7 3012 0132 3120 2103 0 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 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420339486631 0.916047098374 10 6 11 6 2031 0132 3120 0213 1 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 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 0.306635619435 0.860062577615 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0110_12'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0110_12'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : d['c_0011_8'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_0_11' : 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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : d['c_0110_11'], 'c_1100_3' : d['c_0110_11'], 'c_1100_2' : negation(d['c_0011_12']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0101_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0110_12'], 'c_1010_2' : d['c_0110_12'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0110_5']), 'c_1100_8' : negation(d['c_0011_12']), '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' : negation(d['c_0101_11']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0110_12'])})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_11, c_0110_12, c_0110_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 9337659/646600*c_1001_5^11 + 417465679/12932000*c_1001_5^10 + 656533109/12932000*c_1001_5^9 + 263808197/3233000*c_1001_5^8 + 9195877/80825*c_1001_5^7 + 860186549/6466000*c_1001_5^6 + 203473127/1293200*c_1001_5^5 + 88265303/808250*c_1001_5^4 + 63555381/646600*c_1001_5^3 + 739258643/12932000*c_1001_5^2 + 449047129/12932000*c_1001_5 + 67404031/3233000, c_0011_0 - 1, c_0011_10 - 15/8*c_1001_5^11 - 11/4*c_1001_5^10 - 2*c_1001_5^9 - 71/16*c_1001_5^8 - 13/2*c_1001_5^7 - 15/4*c_1001_5^6 - 5*c_1001_5^5 + 3/8*c_1001_5^4 - 9/8*c_1001_5^3 - 3/2*c_1001_5^2 + 1/2*c_1001_5 - 3/16, c_0011_11 - 5/8*c_1001_5^9 - 9/8*c_1001_5^8 - 5/4*c_1001_5^7 - 7/4*c_1001_5^6 - 11/4*c_1001_5^5 - 11/4*c_1001_5^4 - 11/4*c_1001_5^3 - 1/4*c_1001_5^2 - 5/8*c_1001_5 - 1/8, c_0011_12 - 25/8*c_1001_5^11 - 15/2*c_1001_5^10 - 87/8*c_1001_5^9 - 16*c_1001_5^8 - 45/2*c_1001_5^7 - 103/4*c_1001_5^6 - 57/2*c_1001_5^5 - 17*c_1001_5^4 - 95/8*c_1001_5^3 - 33/4*c_1001_5^2 - 41/8*c_1001_5 - 1, c_0011_8 + 1, c_0101_0 + 15/4*c_1001_5^11 + 113/16*c_1001_5^10 + 13/2*c_1001_5^9 + 173/16*c_1001_5^8 + 35/2*c_1001_5^7 + 115/8*c_1001_5^6 + 14*c_1001_5^5 + 35/8*c_1001_5^4 + 15/4*c_1001_5^3 + 77/16*c_1001_5^2 + 1/2*c_1001_5 - 15/16, c_0101_1 + 15/16*c_1001_5^11 + 51/8*c_1001_5^10 + 185/16*c_1001_5^9 + 109/8*c_1001_5^8 + 169/8*c_1001_5^7 + 121/4*c_1001_5^6 + 235/8*c_1001_5^5 + 107/4*c_1001_5^4 + 235/16*c_1001_5^3 + 87/8*c_1001_5^2 + 149/16*c_1001_5 + 33/8, c_0101_11 + 15/8*c_1001_5^10 + 79/16*c_1001_5^9 + 25/4*c_1001_5^8 + 35/4*c_1001_5^7 + 14*c_1001_5^6 + 121/8*c_1001_5^5 + 29/2*c_1001_5^4 + 41/4*c_1001_5^3 + 45/8*c_1001_5^2 + 83/16*c_1001_5 + 11/4, c_0101_12 - 75/16*c_1001_5^11 - 115/8*c_1001_5^10 - 21*c_1001_5^9 - 231/8*c_1001_5^8 - 357/8*c_1001_5^7 - 215/4*c_1001_5^6 - 219/4*c_1001_5^5 - 171/4*c_1001_5^4 - 423/16*c_1001_5^3 - 167/8*c_1001_5^2 - 55/4*c_1001_5 - 27/8, c_0110_11 + 5/4*c_1001_5^10 + 7/2*c_1001_5^9 + 19/4*c_1001_5^8 + 6*c_1001_5^7 + 9*c_1001_5^6 + 11*c_1001_5^5 + 11*c_1001_5^4 + 6*c_1001_5^3 + 11/4*c_1001_5^2 + 7/2*c_1001_5 + 9/4, c_0110_12 + 5/2*c_1001_5^10 + 117/16*c_1001_5^9 + 17/2*c_1001_5^8 + 43/4*c_1001_5^7 + 19*c_1001_5^6 + 167/8*c_1001_5^5 + 35/2*c_1001_5^4 + 51/4*c_1001_5^3 + 6*c_1001_5^2 + 113/16*c_1001_5 + 7/2, c_0110_5 + 25/8*c_1001_5^11 + 125/16*c_1001_5^10 + 69/8*c_1001_5^9 + 195/16*c_1001_5^8 + 83/4*c_1001_5^7 + 171/8*c_1001_5^6 + 79/4*c_1001_5^5 + 105/8*c_1001_5^4 + 61/8*c_1001_5^3 + 145/16*c_1001_5^2 + 33/8*c_1001_5 - 9/16, c_1001_5^12 + 14/5*c_1001_5^11 + 24/5*c_1001_5^10 + 38/5*c_1001_5^9 + 11*c_1001_5^8 + 68/5*c_1001_5^7 + 16*c_1001_5^6 + 68/5*c_1001_5^5 + 11*c_1001_5^4 + 38/5*c_1001_5^3 + 24/5*c_1001_5^2 + 14/5*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB