Magma V2.19-8 Tue Aug 20 2013 23:30:38 on localhost [Seed = 2816590229] Type ? for help. Type -D to quit. Loading file "L12n664__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n664 geometric_solution 7.72975541 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 -1 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 -1 -1 2 5 0 -1 -4 -1 1 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621040766775 1.112310626979 0 4 6 5 0132 1023 0132 0132 1 1 1 1 0 -1 1 0 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 0 4 -4 0 -5 0 5 0 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051314856336 1.167612005102 7 0 3 8 0132 0132 0321 0132 0 1 1 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 1 0 -1 0 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 0.242081533551 2.224621253959 6 7 2 0 1302 0213 0321 0132 0 1 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 -1 0 1 0 0 -1 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808666399266 0.342686678203 1 7 0 8 1023 0132 0132 0213 0 1 1 1 0 0 1 -1 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 -2 1 -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 0.437335738969 0.553442266290 5 6 1 5 3012 3201 0132 1230 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546282179863 0.693837257421 8 3 5 1 0132 2031 2310 0132 1 1 1 1 0 1 0 -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 -4 0 4 0 0 5 -5 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051314856336 1.167612005102 2 4 3 8 0132 0132 0213 0321 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 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 0.137220044474 0.402764467314 6 7 2 4 0132 0321 0132 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218667869484 0.276721133145 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], '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_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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_3'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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_8' : d['1'], '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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_3'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0011_3']})} 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_5, c_0011_6, c_0101_0, c_0101_6, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 264689/8910*c_1001_3^8 + 232423/17820*c_1001_3^7 - 262319/2376*c_1001_3^6 - 154831/3960*c_1001_3^5 + 5075197/28512*c_1001_3^4 + 794443/17820*c_1001_3^3 - 57451/396*c_1001_3^2 - 6323/270*c_1001_3 + 246508/4455, c_0011_0 - 1, c_0011_3 - 6*c_1001_3^7 - 9*c_1001_3^6 + 23/2*c_1001_3^5 + 39/2*c_1001_3^4 - 75/8*c_1001_3^3 - 69/4*c_1001_3^2 + 3*c_1001_3 + 6, c_0011_5 - 6*c_1001_3^8 - 9*c_1001_3^7 + 31/2*c_1001_3^6 + 51/2*c_1001_3^5 - 115/8*c_1001_3^4 - 105/4*c_1001_3^3 + 21/4*c_1001_3^2 + 21/2*c_1001_3, c_0011_6 - 1, c_0101_0 - c_1001_3^8 - 3/2*c_1001_3^7 + 13/4*c_1001_3^6 + 21/4*c_1001_3^5 - 73/16*c_1001_3^4 - 63/8*c_1001_3^3 + 13/4*c_1001_3^2 + 6*c_1001_3, c_0101_6 - 2*c_1001_3 - 1, c_1001_0 - 1, c_1001_2 - c_1001_3^8 + 5/2*c_1001_3^7 + 21/4*c_1001_3^6 - 23/4*c_1001_3^5 - 137/16*c_1001_3^4 + 43/8*c_1001_3^3 + 13/2*c_1001_3^2 - 2*c_1001_3 - 2, c_1001_3^9 + 3/2*c_1001_3^8 - 13/4*c_1001_3^7 - 21/4*c_1001_3^6 + 73/16*c_1001_3^5 + 63/8*c_1001_3^4 - 13/4*c_1001_3^3 - 6*c_1001_3^2 + c_1001_3 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB