Magma V2.19-8 Wed Aug 21 2013 00:53:00 on localhost [Seed = 3187386424] Type ? for help. Type -D to quit. Loading file "L12n1159__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1159 geometric_solution 12.50962488 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 0 1 1 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 3 1 -4 0 0 1 -1 0 1 0 -1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607389371347 0.602133130815 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473171428294 1.083873216730 6 0 9 8 1302 0132 0132 0132 0 1 1 1 0 1 -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 0 0 0 0 0 -3 3 0 -4 0 1 3 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356986902244 0.921939735200 8 10 11 0 0213 0132 0132 0132 0 0 1 1 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 1 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955394300177 0.782686598239 9 5 0 12 0321 1302 0132 0132 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 0 0 0 0 -1 4 -3 -1 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 0.831068637301 0.642178699854 11 1 10 4 0132 0132 2103 2031 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 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 0.356986902244 0.921939735200 12 2 1 11 0132 2031 0132 2031 1 0 1 1 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 -1 0 0 0 0 0 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661699590955 0.774930037291 9 12 10 1 2310 3120 2031 0132 1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246584785760 0.582174781979 3 10 2 12 0213 0213 0132 0213 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199179646026 0.676716211424 4 11 7 2 0321 1230 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 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 0.383124009010 1.456414451754 5 3 8 7 2103 0132 0213 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728509870180 0.615611774709 5 6 9 3 0132 1302 3012 0132 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 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 0.607389371347 0.602133130815 6 7 4 8 0132 3120 0132 0213 0 0 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 -3 3 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 0.831068637301 0.642178699854 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : negation(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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_7']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : negation(d['c_0011_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_7'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_8' : 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' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_7'], '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_0011_8'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), '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_12'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_9']), 's_2_9' : d['1']})} 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_12, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_10, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2519/224*c_1001_0^9 + 35555/896*c_1001_0^8 - 85045/896*c_1001_0^7 - 221041/896*c_1001_0^6 + 541955/896*c_1001_0^5 - 20837/112*c_1001_0^4 - 111205/448*c_1001_0^3 + 10565/224*c_1001_0^2 + 59865/896*c_1001_0 + 12183/896, c_0011_0 - 1, c_0011_10 - 5/4*c_1001_0^9 - 19/4*c_1001_0^8 + 39/4*c_1001_0^7 + 127/4*c_1001_0^6 - 63*c_1001_0^5 - 15/2*c_1001_0^4 + 52*c_1001_0^3 + 3/4*c_1001_0^2 - 65/4*c_1001_0 - 4, c_0011_12 + 2*c_1001_0^9 + 15/2*c_1001_0^8 - 16*c_1001_0^7 - 101/2*c_1001_0^6 + 203/2*c_1001_0^5 + 8*c_1001_0^4 - 151/2*c_1001_0^3 - 5*c_1001_0^2 + 25*c_1001_0 + 6, c_0011_7 + c_1001_0^9 + 4*c_1001_0^8 - 7*c_1001_0^7 - 27*c_1001_0^6 + 44*c_1001_0^5 + 15*c_1001_0^4 - 34*c_1001_0^3 - 11*c_1001_0^2 + 11*c_1001_0 + 5, c_0011_8 - c_1001_0, c_0011_9 - 17/8*c_1001_0^9 - 61/8*c_1001_0^8 + 147/8*c_1001_0^7 + 411/8*c_1001_0^6 - 233/2*c_1001_0^5 + 25/4*c_1001_0^4 + 81*c_1001_0^3 - 39/8*c_1001_0^2 - 193/8*c_1001_0 - 5, c_0101_0 - 1, c_0101_1 - 17/8*c_1001_0^9 - 61/8*c_1001_0^8 + 147/8*c_1001_0^7 + 411/8*c_1001_0^6 - 233/2*c_1001_0^5 + 25/4*c_1001_0^4 + 81*c_1001_0^3 - 39/8*c_1001_0^2 - 193/8*c_1001_0 - 5, c_0101_11 + 1/2*c_1001_0^8 + 3/2*c_1001_0^7 - 11/2*c_1001_0^6 - 21/2*c_1001_0^5 + 33*c_1001_0^4 - 14*c_1001_0^3 - 12*c_1001_0^2 + 9/2*c_1001_0 + 5/2, c_0101_7 - 7/8*c_1001_0^9 - 3*c_1001_0^8 + 15/2*c_1001_0^7 + 35/2*c_1001_0^6 - 389/8*c_1001_0^5 + 97/4*c_1001_0^4 + 57/4*c_1001_0^3 - 73/8*c_1001_0^2 - 13/4*c_1001_0 + 3/8, c_0110_10 - c_1001_0^9 - 4*c_1001_0^8 + 7*c_1001_0^7 + 27*c_1001_0^6 - 44*c_1001_0^5 - 15*c_1001_0^4 + 34*c_1001_0^3 + 11*c_1001_0^2 - 11*c_1001_0 - 5, c_1001_0^10 + 4*c_1001_0^9 - 7*c_1001_0^8 - 27*c_1001_0^7 + 44*c_1001_0^6 + 15*c_1001_0^5 - 34*c_1001_0^4 - 11*c_1001_0^3 + 10*c_1001_0^2 + 6*c_1001_0 + 1, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB