Magma V2.19-8 Tue Aug 20 2013 17:57:11 on localhost [Seed = 2850561441] Type ? for help. Type -D to quit. Loading file "11_58__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_58 geometric_solution 11.21911773 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1230 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 -1 1 0 0 0 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 0.491553569836 1.218967588985 0 4 6 5 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971744294542 1.566188577343 7 0 8 0 0132 0132 0132 3012 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 1 -1 0 0 0 1 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655264790274 0.431332665072 8 4 0 9 0213 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 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 0.240458250546 0.697793698715 8 1 3 6 1230 0132 2310 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 1 -1 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 0.267893333570 0.618144791924 10 9 1 11 0132 3120 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262283487653 0.457495671418 4 11 10 1 3120 0132 3012 0132 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 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584042337535 0.668581038789 2 10 9 11 0132 3201 2031 0213 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 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935255615631 0.700875493003 3 4 10 2 0213 3012 1230 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 0 -1 1 1 0 0 -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 1.010148587197 0.777187612418 11 5 3 7 0132 3120 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778280667412 0.675972107918 5 6 7 8 0132 1230 2310 3012 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 -1 0 0 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 0.770404365884 0.779325613022 9 6 5 7 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750723266546 0.804336811381 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : negation(d['c_0011_0']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0101_4']), 'c_1100_8' : d['c_0101_0'], '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_9' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_11' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_0101_7, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 2197883/32480*c_1001_4^4 + 4615339/8120*c_1001_4^3 + 3438113/2320*c_1001_4^2 + 11929493/8120*c_1001_4 + 46578183/32480, c_0011_0 - 1, c_0011_10 - 1/8*c_1001_4^4 - 3/8*c_1001_4^3 + 1/8*c_1001_4^2 + 3/8*c_1001_4 + 1, c_0011_11 - 1/4*c_1001_4^2 + 1/4, c_0011_3 + 1/16*c_1001_4^4 + 1/4*c_1001_4^3 - 1/8*c_1001_4^2 - 3/4*c_1001_4 - 7/16, c_0011_8 + 1/16*c_1001_4^4 + 1/4*c_1001_4^3 - 1/8*c_1001_4^2 - 1/4*c_1001_4 + 1/16, c_0101_0 - 1/16*c_1001_4^4 - 1/4*c_1001_4^3 + 1/8*c_1001_4^2 + 1/4*c_1001_4 + 15/16, c_0101_10 - 1/8*c_1001_4^4 - 3/8*c_1001_4^3 + 1/8*c_1001_4^2 + 3/8*c_1001_4 + 1, c_0101_2 - 1/4*c_1001_4^4 - 3/4*c_1001_4^3 + 3/4*c_1001_4^2 - 1/4*c_1001_4 + 3/2, c_0101_4 - 1/16*c_1001_4^4 - 1/4*c_1001_4^3 + 1/8*c_1001_4^2 + 1/4*c_1001_4 - 1/16, c_0101_7 - 3/8*c_1001_4^4 - 5/4*c_1001_4^3 + c_1001_4^2 + 1/4*c_1001_4 + 19/8, c_1001_10 - 1/16*c_1001_4^4 - 1/4*c_1001_4^3 - 1/8*c_1001_4^2 + 3/4*c_1001_4 + 11/16, c_1001_4^5 + 7*c_1001_4^4 + 10*c_1001_4^3 - 10*c_1001_4^2 - 11*c_1001_4 - 29 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_4, c_0101_7, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1866238/90219*c_1001_4^5 + 3849462/30073*c_1001_4^4 + 35106553/90219*c_1001_4^3 + 12665387/30073*c_1001_4^2 + 4481502/30073*c_1001_4 - 8363363/90219, c_0011_0 - 1, c_0011_10 + 34/549*c_1001_4^5 + 52/183*c_1001_4^4 + 292/549*c_1001_4^3 - 5/183*c_1001_4^2 + 55/61*c_1001_4 + 781/549, c_0011_11 + 23/549*c_1001_4^5 + 32/183*c_1001_4^4 + 179/549*c_1001_4^3 - 55/183*c_1001_4^2 + 41/61*c_1001_4 + 302/549, c_0011_3 - 10/549*c_1001_4^5 - 16/183*c_1001_4^4 - 151/549*c_1001_4^3 - 10/183*c_1001_4^2 + 5/61*c_1001_4 - 280/549, c_0011_8 - 14/549*c_1001_4^5 - 17/183*c_1001_4^4 - 125/549*c_1001_4^3 + 28/183*c_1001_4^2 - 33/61*c_1001_4 - 419/549, c_0101_0 + 14/549*c_1001_4^5 + 17/183*c_1001_4^4 + 125/549*c_1001_4^3 - 28/183*c_1001_4^2 + 33/61*c_1001_4 - 130/549, c_0101_10 - 34/549*c_1001_4^5 - 52/183*c_1001_4^4 - 292/549*c_1001_4^3 + 5/183*c_1001_4^2 - 55/61*c_1001_4 - 781/549, c_0101_2 - 35/549*c_1001_4^5 - 44/183*c_1001_4^4 - 245/549*c_1001_4^3 - 23/183*c_1001_4^2 - 7/61*c_1001_4 - 674/549, c_0101_4 + 10/549*c_1001_4^5 + 16/183*c_1001_4^4 + 151/549*c_1001_4^3 + 10/183*c_1001_4^2 - 5/61*c_1001_4 - 269/549, c_0101_7 - 40/549*c_1001_4^5 - 46/183*c_1001_4^4 - 316/549*c_1001_4^3 - 22/183*c_1001_4^2 - 32/61*c_1001_4 - 661/549, c_1001_10 - 5/549*c_1001_4^5 - 14/183*c_1001_4^4 - 80/549*c_1001_4^3 - 11/183*c_1001_4^2 - 31/61*c_1001_4 - 293/549, c_1001_4^6 + 5*c_1001_4^5 + 13*c_1001_4^4 + 8*c_1001_4^3 + 15*c_1001_4^2 + 28*c_1001_4 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.130 Total time: 1.330 seconds, Total memory usage: 64.12MB