Magma V2.19-8 Tue Aug 20 2013 17:55:31 on localhost [Seed = 2648451658] Type ? for help. Type -D to quit. Loading file "11_225__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_225 geometric_solution 7.77671151 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -1 0 0 1 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654022921393 0.586404752451 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.157734426444 1.973086306787 3 0 6 7 0321 0132 2310 0321 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 1 -1 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720261075055 0.648074595565 2 5 5 0 0321 0321 1023 0132 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004493304607 1.339184251677 6 7 0 8 3201 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.255409714448 0.761901622850 8 1 3 3 3120 0132 1023 0321 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 0 0 0 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641562344918 0.477866861524 8 2 1 4 1230 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.546014117470 0.313322736698 8 2 4 1 0321 0321 2310 0132 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168074514225 0.847606496152 7 6 4 5 0321 3012 0132 3120 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 -1 1 0 0 0 0 4 1 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308177909675 0.727335106239 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_6']), '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' : 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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0011_6'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_0']), '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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], '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_0101_7'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0101_7']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0011_8']})} 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_4, c_0011_6, c_0011_8, c_0101_2, c_0101_5, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/15*c_1001_0^3 - 4/15*c_1001_0^2 + 2/5*c_1001_0 - 2/3, c_0011_0 - 1, c_0011_3 - c_1001_0 + 1, c_0011_4 - c_1001_0 + 1, c_0011_6 + c_1001_0^2 - c_1001_0 + 3, c_0011_8 - c_1001_0^2 + c_1001_0 - 3, c_0101_2 - c_1001_0^2 + c_1001_0 - 2, c_0101_5 - c_1001_0^2 + c_1001_0 - 2, c_0101_7 + c_1001_0^3 - 2*c_1001_0^2 + 4*c_1001_0 - 2, c_1001_0^4 - 2*c_1001_0^3 + 6*c_1001_0^2 - 5*c_1001_0 + 5 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_2, c_0101_5, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 32293/4576*c_1001_0^8 + 133473/9152*c_1001_0^7 - 194873/9152*c_1001_0^6 + 55617/4576*c_1001_0^5 - 132089/4576*c_1001_0^4 - 263517/9152*c_1001_0^3 - 21503/832*c_1001_0^2 - 57621/9152*c_1001_0 - 40545/9152, c_0011_0 - 1, c_0011_3 + c_1001_0, c_0011_4 + 73/44*c_1001_0^8 - 309/88*c_1001_0^7 + 421/88*c_1001_0^6 - 131/44*c_1001_0^5 + 339/44*c_1001_0^4 + 373/88*c_1001_0^3 + 513/88*c_1001_0^2 - 267/88*c_1001_0 - 83/88, c_0011_6 - 73/176*c_1001_0^8 + 133/352*c_1001_0^7 - 69/352*c_1001_0^6 - 155/176*c_1001_0^5 - 53/176*c_1001_0^4 - 1473/352*c_1001_0^3 - 1041/352*c_1001_0^2 - 569/352*c_1001_0 + 83/352, c_0011_8 - 215/176*c_1001_0^8 + 763/352*c_1001_0^7 - 1035/352*c_1001_0^6 + 227/176*c_1001_0^5 - 883/176*c_1001_0^4 - 1855/352*c_1001_0^3 - 2591/352*c_1001_0^2 - 263/352*c_1001_0 + 13/352, c_0101_2 + 3/11*c_1001_0^8 - 13/22*c_1001_0^7 + 3/11*c_1001_0^6 + 15/22*c_1001_0^5 - 4/11*c_1001_0^4 + 21/11*c_1001_0^3 - 41/22*c_1001_0^2 - 39/22*c_1001_0 - 17/11, c_0101_5 - 9/22*c_1001_0^8 + 17/44*c_1001_0^7 - 7/44*c_1001_0^6 - 17/22*c_1001_0^5 - 21/22*c_1001_0^4 - 159/44*c_1001_0^3 - 119/44*c_1001_0^2 - 59/44*c_1001_0 + 3/44, c_0101_7 - 131/176*c_1001_0^8 + 311/352*c_1001_0^7 - 295/352*c_1001_0^6 - 113/176*c_1001_0^5 - 423/176*c_1001_0^4 - 1691/352*c_1001_0^3 - 1979/352*c_1001_0^2 - 915/352*c_1001_0 - 191/352, c_1001_0^9 - 3/2*c_1001_0^8 + 2*c_1001_0^7 - 1/2*c_1001_0^6 + 4*c_1001_0^5 + 11/2*c_1001_0^4 + 7*c_1001_0^3 + 3*c_1001_0^2 + c_1001_0 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB