Magma V2.19-8 Wed Aug 21 2013 01:10:41 on localhost [Seed = 2968955223] Type ? for help. Type -D to quit. Loading file "L14n54174__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n54174 geometric_solution 12.62408993 oriented_manifold CS_known -0.0000000000000009 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2103 0132 0132 2 0 2 2 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 1 0 -1 1 0 -2 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646102903027 0.850677243093 0 0 5 4 0132 2103 0132 0132 2 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646102903027 0.850677243093 6 6 4 0 0132 3201 3201 0132 2 0 2 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 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 0.266022369047 0.876638027731 5 7 0 8 2310 0132 0132 0132 2 0 0 2 0 -1 0 1 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 -9 1 8 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 0.860198984875 0.856107824307 2 9 1 10 2310 0132 0132 0132 2 0 0 2 0 1 0 -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 9 -1 -8 0 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860198984875 0.856107824307 6 6 3 1 3201 0132 3201 0132 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266022369047 0.876638027731 2 5 2 5 0132 0132 2310 2310 2 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316971728791 1.044534232854 11 3 9 9 0132 0132 1023 2103 2 2 2 0 0 1 -1 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 9 -9 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 10 12 3 12 0321 0132 0132 1230 2 0 1 0 0 0 -1 1 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 0 -8 8 2 0 -1 -1 1 2 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 12 4 7 7 3012 0132 1023 2103 2 2 2 0 0 -1 1 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 -9 9 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 8 11 4 11 0321 1302 0132 3201 2 0 1 0 0 -1 1 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 -8 8 0 1 0 -1 0 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 7 10 12 10 0132 2310 3120 2031 1 2 0 2 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 1 -1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 8 8 11 9 3012 0132 3120 1230 2 2 0 1 0 0 0 0 -1 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 0 0 0 0 -8 0 8 0 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679701394436 1.095271408335 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_1001_3']), 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_4']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['c_0101_11']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_4']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0101_10']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5054/11*c_1001_3^7 + 47893/22*c_1001_3^6 - 118945/22*c_1001_3^5 + 130953/22*c_1001_3^4 - 67637/22*c_1001_3^3 - 4299/2*c_1001_3^2 + 39227/11*c_1001_3 - 40587/22, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_1001_3 + 1, c_0011_2 + 4/11*c_1001_3^7 - 15/11*c_1001_3^6 + 25/11*c_1001_3^5 + 3/11*c_1001_3^4 - 36/11*c_1001_3^3 + 3*c_1001_3^2 - 14/11*c_1001_3 - 10/11, c_0011_4 + c_1001_3 - 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 1/11*c_1001_3^7 - 12/11*c_1001_3^6 + 42/11*c_1001_3^5 - 79/11*c_1001_3^4 + 57/11*c_1001_3^3 - c_1001_3^2 - 20/11*c_1001_3 + 3/11, c_0101_11 - 39/55*c_1001_3^7 + 182/55*c_1001_3^6 - 428/55*c_1001_3^5 + 408/55*c_1001_3^4 - 89/55*c_1001_3^3 - 5*c_1001_3^2 + 296/55*c_1001_3 - 62/55, c_0101_12 - 13/55*c_1001_3^7 + 79/55*c_1001_3^6 - 216/55*c_1001_3^5 + 301/55*c_1001_3^4 - 158/55*c_1001_3^3 - c_1001_3^2 + 227/55*c_1001_3 - 94/55, c_0101_7 - 7/11*c_1001_3^7 + 29/11*c_1001_3^6 - 63/11*c_1001_3^5 + 47/11*c_1001_3^4 - 14/11*c_1001_3^3 - 2*c_1001_3^2 + 19/11*c_1001_3 - 10/11, c_0101_9 - 7/11*c_1001_3^7 + 29/11*c_1001_3^6 - 63/11*c_1001_3^5 + 47/11*c_1001_3^4 - 14/11*c_1001_3^3 - 2*c_1001_3^2 + 19/11*c_1001_3 - 10/11, c_1001_3^8 - 5*c_1001_3^7 + 13*c_1001_3^6 - 16*c_1001_3^5 + 10*c_1001_3^4 + 3*c_1001_3^3 - 9*c_1001_3^2 + 6*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB