Magma V2.19-8 Tue Aug 20 2013 23:40:33 on localhost [Seed = 3616650049] Type ? for help. Type -D to quit. Loading file "L11n100__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n100 geometric_solution 10.22590196 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414943656366 0.629407211897 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 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 0 0 0 0 0 0 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497477291251 0.564902459885 7 0 3 8 2103 0132 1023 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 -1 0 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414943656366 0.629407211897 5 9 2 0 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554519220087 1.261966232959 8 10 0 8 0132 0132 0132 1023 0 0 1 1 0 -1 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 0 0 0 0 1 -1 1 0 0 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005045417499 1.129804919770 3 1 6 9 0132 0132 2103 3012 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 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 1.121993192737 0.997006725617 5 10 1 8 2103 2031 0132 2031 1 0 1 1 0 0 0 0 0 0 1 -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 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994954582501 1.129804919770 10 9 2 1 2031 3012 2103 0132 1 0 1 1 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 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 0.879083538127 0.988206989428 4 6 2 4 0132 1302 0132 1023 0 0 1 1 0 1 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 0 0 0 0 -1 1 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005045417499 1.129804919770 7 3 5 10 1230 0132 1230 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121993192737 0.997006725617 6 4 7 9 1302 0132 1302 0213 0 1 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 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 0.003952587793 0.885090903789 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_1'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_0110_6'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : negation(d['c_1100_0']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_8'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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_0011_6'], 'c_0110_8' : d['c_0101_1'], '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_8'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0101_9, c_0110_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2*c_1100_0^3 + 3/2*c_1100_0^2 - c_1100_0 + 3, c_0011_0 - 1, c_0011_10 + 4/3*c_1100_0^3 + c_1100_0^2 + 2/3*c_1100_0 + 5/3, c_0011_6 - 56/33*c_1100_0^3 + 2/11*c_1100_0^2 - 52/33*c_1100_0 - 49/33, c_0101_0 - 1, c_0101_1 + 16/11*c_1100_0^3 - 8/11*c_1100_0^2 + 7/11*c_1100_0 + 14/11, c_0101_2 + 1, c_0101_3 - 12/11*c_1100_0^3 - 5/11*c_1100_0^2 + 3/11*c_1100_0 - 5/11, c_0101_8 + 16/11*c_1100_0^3 - 8/11*c_1100_0^2 + 7/11*c_1100_0 + 14/11, c_0101_9 - 16/33*c_1100_0^3 - 12/11*c_1100_0^2 + 4/33*c_1100_0 - 14/33, c_0110_6 - 12/11*c_1100_0^3 - 5/11*c_1100_0^2 + 3/11*c_1100_0 - 5/11, c_1100_0^4 + 3/4*c_1100_0^3 + 1/2*c_1100_0^2 + 5/4*c_1100_0 + 3/4 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0101_9, c_0110_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2889696/173*c_1100_0^5 + 5276568/173*c_1100_0^4 - 5293778/173*c_1100_0^3 + 813525/346*c_1100_0^2 + 6231796/173*c_1100_0 - 4285926/173, c_0011_0 - 1, c_0011_10 + 1656/173*c_1100_0^5 - 2460/173*c_1100_0^4 + 4911/346*c_1100_0^3 + 184/173*c_1100_0^2 - 6227/346*c_1100_0 + 3151/346, c_0011_6 + 612/173*c_1100_0^5 - 1210/173*c_1100_0^4 + 4713/692*c_1100_0^3 - 383/346*c_1100_0^2 - 6137/692*c_1100_0 + 4059/692, c_0101_0 - 1, c_0101_1 + 528/173*c_1100_0^5 - 664/173*c_1100_0^4 + 813/173*c_1100_0^3 + 174/173*c_1100_0^2 - 920/173*c_1100_0 + 387/173, c_0101_2 - 1, c_0101_3 + 32/173*c_1100_0^5 - 208/173*c_1100_0^4 + 238/173*c_1100_0^3 - 131/173*c_1100_0^2 - 61/173*c_1100_0 + 165/173, c_0101_8 - 528/173*c_1100_0^5 + 664/173*c_1100_0^4 - 813/173*c_1100_0^3 - 174/173*c_1100_0^2 + 920/173*c_1100_0 - 387/173, c_0101_9 + 548/173*c_1100_0^5 - 794/173*c_1100_0^4 + 2809/692*c_1100_0^3 + 141/346*c_1100_0^2 - 4265/692*c_1100_0 + 2047/692, c_0110_6 - 32/173*c_1100_0^5 + 208/173*c_1100_0^4 - 238/173*c_1100_0^3 + 131/173*c_1100_0^2 + 61/173*c_1100_0 - 165/173, c_1100_0^6 - 5/2*c_1100_0^5 + 49/16*c_1100_0^4 - 11/8*c_1100_0^3 - 33/16*c_1100_0^2 + 47/16*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB