Magma V2.19-8 Tue Aug 20 2013 23:42:24 on localhost [Seed = 964648016] Type ? for help. Type -D to quit. Loading file "L13n2857__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2857 geometric_solution 10.37679080 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 -1 0 1 0 0 -1 1 -8 7 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751622628939 0.858846197381 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 -2 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 -1 1 0 0 0 0 0 0 1 0 -1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410876195366 0.745009487108 6 0 7 8 3012 0132 3012 0132 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336136516075 0.769886788583 6 9 10 0 0132 0132 0132 0132 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 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 0 0.536665833577 0.166659875446 5 8 0 6 3201 2310 0132 3201 1 1 0 1 0 0 0 0 -1 0 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 -1 1 8 0 -1 -7 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629024581449 1.031327484101 10 1 9 4 0321 0132 1023 2310 0 1 1 1 0 2 -1 -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 1 -1 0 0 0 0 0 0 8 0 -8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336136516075 0.769886788583 3 4 1 2 0132 2310 0132 1230 0 1 1 1 0 1 -1 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 7 0 -7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734435802309 1.061397846874 10 2 9 1 1230 1230 1230 0132 0 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 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 0.653053864138 0.825855822745 9 10 2 4 0132 3201 0132 3201 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 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 0.629024581449 1.031327484101 8 3 5 7 0132 0132 1023 3012 1 0 1 1 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 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 0.751622628939 0.858846197381 5 7 8 3 0321 3012 2310 0132 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 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 0.734435802309 1.061397846874 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_10' : 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' : negation(d['1']), 's_0_2' : 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_4']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0011_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_0110_10' : negation(d['c_0011_0']), '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_0011_10'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0101_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_4, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_7, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1390597139/82687194*c_0101_9^8 - 4418726260/289405179*c_0101_9^7 - 829463038/4593733*c_0101_9^6 - 83333630542/289405179*c_0101_9^5 - 4332765910/13781199*c_0101_9^4 - 117413126305/578810358*c_0101_9^3 - 16997069918/289405179*c_0101_9^2 - 34180278869/578810358*c_0101_9 + 29398871993/578810358, c_0011_0 - 1, c_0011_10 + 918/2273*c_0101_9^8 - 2026/2273*c_0101_9^7 + 10045/2273*c_0101_9^6 - 16986/2273*c_0101_9^5 - 1501/2273*c_0101_9^4 - 43493/2273*c_0101_9^3 - 7483/2273*c_0101_9^2 - 26442/2273*c_0101_9 + 7530/2273, c_0011_3 + 2521/2273*c_0101_9^8 - 478/2273*c_0101_9^7 + 28717/2273*c_0101_9^6 + 12065/2273*c_0101_9^5 + 44693/2273*c_0101_9^4 - 6144/2273*c_0101_9^3 + 19515/2273*c_0101_9^2 - 17617/2273*c_0101_9 + 5986/2273, c_0011_4 + 139/2273*c_0101_9^8 + 337/2273*c_0101_9^7 + 1880/2273*c_0101_9^6 + 4975/2273*c_0101_9^5 + 8268/2273*c_0101_9^4 + 10561/2273*c_0101_9^3 + 6456/2273*c_0101_9^2 + 4598/2273*c_0101_9 - 806/2273, c_0011_7 - 356/2273*c_0101_9^8 + 1786/2273*c_0101_9^7 - 3425/2273*c_0101_9^6 + 18279/2273*c_0101_9^5 + 12576/2273*c_0101_9^4 + 42548/2273*c_0101_9^3 + 11984/2273*c_0101_9^2 + 22466/2273*c_0101_9 - 7273/2273, c_0101_0 - 1251/2273*c_0101_9^8 - 760/2273*c_0101_9^7 - 14647/2273*c_0101_9^6 - 17499/2273*c_0101_9^5 - 33498/2273*c_0101_9^4 - 20040/2273*c_0101_9^3 - 17190/2273*c_0101_9^2 + 1805/2273*c_0101_9 + 2708/2273, c_0101_10 - 1887/2273*c_0101_9^8 - 634/2273*c_0101_9^7 - 21532/2273*c_0101_9^6 - 20394/2273*c_0101_9^5 - 40733/2273*c_0101_9^4 - 15282/2273*c_0101_9^3 - 16314/2273*c_0101_9^2 + 6620/2273*c_0101_9 + 1948/2273, c_0101_2 - 1, c_0101_7 + 295/2273*c_0101_9^8 - 2310/2273*c_0101_9^7 + 3483/2273*c_0101_9^6 - 24207/2273*c_0101_9^5 - 9042/2273*c_0101_9^4 - 41770/2273*c_0101_9^3 + 2124/2273*c_0101_9^2 - 15539/2273*c_0101_9 + 16964/2273, c_0101_8 - 775/2273*c_0101_9^8 - 211/2273*c_0101_9^7 - 8765/2273*c_0101_9^6 - 7870/2273*c_0101_9^5 - 15503/2273*c_0101_9^4 - 5803/2273*c_0101_9^3 - 5580/2273*c_0101_9^2 + 217/2273*c_0101_9 + 46/2273, c_0101_9^9 + 12*c_0101_9^7 + 7*c_0101_9^6 + 26*c_0101_9^5 + 6*c_0101_9^4 + 20*c_0101_9^3 - 4*c_0101_9^2 + 6*c_0101_9 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB