Magma V2.19-8 Tue Aug 20 2013 23:30:14 on localhost [Seed = 3364794088] Type ? for help. Type -D to quit. Loading file "L11n421__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n421 geometric_solution 8.77865880 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 2 0132 0132 0132 1023 1 1 0 0 0 1 -1 0 0 0 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 2 -3 1 0 0 2 -2 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931226742987 1.133576200979 0 4 6 5 0132 0132 0132 0132 1 1 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 1 -1 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 0.521521645694 0.668522092337 6 0 6 0 0132 0132 1023 1023 1 1 0 0 0 -1 0 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 -2 0 2 0 0 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 0.440318833150 0.467016691170 7 6 8 0 0132 0132 0132 0132 1 1 0 0 0 0 -1 1 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 0 -3 3 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521521645694 0.668522092337 7 1 8 8 1023 0132 1302 0321 1 2 0 0 0 0 -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 -2 3 -1 0 1 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 0.589563746034 0.812013441026 7 7 1 8 2103 1302 0132 0132 1 1 2 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589563746034 0.812013441026 2 3 2 1 0132 0132 1023 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931226742987 1.133576200979 3 4 5 5 0132 1023 2103 2031 2 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 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 0.589563746034 0.812013441026 4 4 5 3 2031 0321 0132 0132 1 1 0 2 0 -1 0 1 1 0 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 -3 0 3 2 0 0 -2 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589563746034 0.812013441026 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_6'], 'c_1001_8' : d['c_0101_8'], 's_2_8' : d['1'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_6'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : negation(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' : negation(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' : negation(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_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_8, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 483/8*c_1100_0^4 + 32067/16*c_1100_0^3 - 38163/16*c_1100_0^2 + 29209/16*c_1100_0 - 4867/16, c_0011_0 - 1, c_0011_5 - 1, c_0101_0 - 1, c_0101_1 - 17/16*c_1100_0^4 - 141/4*c_1100_0^3 + 341/8*c_1100_0^2 - 34*c_1100_0 + 99/16, c_0101_3 + 13/8*c_1100_0^4 + 54*c_1100_0^3 - 249/4*c_1100_0^2 + 97/2*c_1100_0 - 55/8, c_0101_6 - 3/2*c_1100_0^4 - 199/4*c_1100_0^3 + 243/4*c_1100_0^2 - 181/4*c_1100_0 + 31/4, c_0101_8 - 13/8*c_1100_0^4 - 54*c_1100_0^3 + 249/4*c_1100_0^2 - 97/2*c_1100_0 + 63/8, c_1001_1 + 1, c_1100_0^5 + 33*c_1100_0^4 - 46*c_1100_0^3 + 38*c_1100_0^2 - 11*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB