Magma V2.19-8 Tue Sep 10 2013 18:56:25 on localhost [Seed = 3367319838] Type ? for help. Type -D to quit. Loading file "11_235__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_235 geometric_solution 14.87112202 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398351931164 0.779005335087 0 4 4 5 0132 0132 1302 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 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333035832480 0.856489578361 0 0 6 5 3012 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 -1 0 1 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 0.621004973435 0.804068378974 7 4 8 0 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202206218138 0.572418304623 1 1 3 9 2031 0132 3012 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605635458518 1.014212546858 8 10 1 2 2103 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 1 0 -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 0.496208134745 0.773215969714 11 11 12 2 0132 1230 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 -1 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 0.274541648457 0.950516401437 3 10 8 13 0132 1302 2103 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 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 0.565983824649 0.726814529086 7 12 5 3 2103 0132 2103 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 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 -0.292420193946 2.122074281566 10 13 4 12 2031 3120 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.602246883250 1.128748718962 14 5 9 7 0132 0132 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816844286615 0.440107255782 6 15 6 14 0132 0132 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719527636113 0.971049687808 14 8 9 6 2031 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477388564518 1.064380717049 15 9 7 15 3201 3120 0132 1230 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 1 0 -1 8 0 1 -9 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.012963840089 1.682401001967 10 11 12 15 0132 2310 1302 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 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 0.141096512133 0.808797243252 13 11 14 13 3012 0132 0132 2310 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 1 0 0 -1 9 -1 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.012963840089 1.682401001967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0101_6']), 'c_1001_14' : d['c_0101_6'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0110_9'], 'c_1001_13' : negation(d['c_0101_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : negation(d['c_0011_3']), 'c_1010_15' : d['c_0011_11'], 'c_1010_14' : negation(d['c_0101_6']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), 'c_0101_15' : negation(d['c_0011_9']), 'c_0101_14' : negation(d['c_0011_12']), '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_15' : negation(d['c_0011_11']), 'c_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : negation(d['c_0101_13']), 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0110_9'], 'c_1100_14' : d['c_0011_13'], 'c_1100_15' : d['c_0011_13'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_9'], 'c_1100_13' : negation(d['c_0101_13']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0110_9'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_11'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_13']), 's_0_15' : d['1'], 'c_1100_8' : d['c_0110_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_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_9'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_6'], 'c_0110_15' : negation(d['c_0101_13']), 'c_0110_14' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0101_9'], 'c_0101_12' : d['c_0011_13'], 'c_0110_0' : negation(d['c_0011_0']), 's_0_8' : d['1'], 's_2_15' : d['1'], 'c_1010_8' : d['c_1001_12'], '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_0101_4'], 'c_0101_3' : d['c_0101_13'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0110_2']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_13'], 'c_0110_6' : d['c_0101_11'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_9, c_0101_0, c_0101_11, c_0101_13, c_0101_4, c_0101_6, c_0101_9, c_0110_2, c_0110_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 54/5*c_0110_9^2*c_1001_12 + 19/5*c_0110_9^2 - 8/5*c_0110_9*c_1001_12 - 23/5*c_0110_9 + 19*c_1001_12 - 33/5, c_0011_0 - 1, c_0011_10 - c_0110_9^2*c_1001_12 - c_0110_9 + c_1001_12, c_0011_11 - c_0110_9*c_1001_12, c_0011_12 - c_0110_9^2*c_1001_12 - c_0110_9 + c_1001_12 + 1, c_0011_13 - c_0110_9^2 + c_0110_9*c_1001_12 + 2*c_0110_9 - c_1001_12 + 1, c_0011_3 - c_0110_9^2*c_1001_12 - c_0110_9 + c_1001_12, c_0011_9 - c_0110_9^2 + c_0110_9*c_1001_12 + c_0110_9 - c_1001_12 + 1, c_0101_0 - c_1001_12, c_0101_11 - c_0110_9^2 + c_0110_9*c_1001_12 + 1, c_0101_13 - 1, c_0101_4 + c_0110_9^2*c_1001_12 + c_0110_9 - c_1001_12 + 1, c_0101_6 + c_0110_9^2*c_1001_12, c_0101_9 - c_1001_12, c_0110_2 + 1, c_0110_9^3 - c_0110_9^2*c_1001_12 - 2*c_0110_9 + c_1001_12, c_1001_12^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 267.290 Total time: 267.500 seconds, Total memory usage: 994.81MB