Magma V2.19-8 Wed Aug 21 2013 01:10:48 on localhost [Seed = 1932880540] Type ? for help. Type -D to quit. Loading file "L14n54979__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n54979 geometric_solution 12.62408993 oriented_manifold CS_known 0.0000000000000005 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 2031 0132 2 2 1 2 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 -1 7 -6 0 0 0 0 0 -1 0 1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583108479449 1.002099571894 0 4 6 5 0132 0132 0132 0132 1 2 2 1 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 0 0 0 0 0 3 -3 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139801015125 0.856107824307 4 0 7 0 2310 0132 0132 1302 2 2 2 1 0 0 0 0 0 0 0 0 0 -1 0 1 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 1 -1 0 7 0 -7 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353897096973 0.850677243093 7 8 0 8 1023 0132 0132 1023 2 2 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 0 0 0 0 0 0 0 0 0 0 0 6 -6 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 0.733977630953 0.876638027731 8 1 2 8 2031 0132 3201 3120 1 2 1 2 0 1 -1 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 -3 3 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438519075637 0.670613802634 9 10 1 10 0132 0132 0132 1230 1 2 0 2 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320298605564 1.095271408335 11 12 12 1 0132 0132 2103 0132 1 2 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 0 -2 -1 3 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 0.320298605564 1.095271408335 12 3 9 2 2103 1023 1230 0132 2 2 1 1 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 1 -1 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814209261553 1.137737839217 4 3 4 3 3120 0132 1302 1023 2 2 1 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533892253571 0.369685610329 5 11 11 7 0132 2310 3120 3012 1 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 0 0 0 0 0 0 -1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754034722092 0.841086197867 5 5 11 12 3012 0132 2310 0213 1 1 2 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 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409061082822 0.659161378725 6 10 9 9 0132 3201 3120 3201 0 2 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 -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 0.409061082822 0.659161378725 6 6 7 10 2103 0132 2103 0213 1 2 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 2 -2 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754034722092 0.841086197867 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0110_4'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_4'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_3'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0110_3'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_0110_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_2']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : 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_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_0011_10'], 'c_0101_8' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0110_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_4, c_0110_10, c_0110_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 181/16*c_0110_4^9 + 56*c_0110_4^8 + 287/16*c_0110_4^7 - 2105/8*c_0110_4^6 - 2307/8*c_0110_4^5 + 2735/8*c_0110_4^4 + 4905/8*c_0110_4^3 - 393/8*c_0110_4^2 - 1741/4*c_0110_4 - 178, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1/2*c_0110_4^9 + 7/4*c_0110_4^8 - 2*c_0110_4^7 - 37/4*c_0110_4^6 + 7/2*c_0110_4^5 + 33/2*c_0110_4^4 - 3/2*c_0110_4^3 - 27/2*c_0110_4^2 - 1/2*c_0110_4 + 4, c_0011_3 - 1/8*c_0110_4^9 - 1/2*c_0110_4^8 + 3/8*c_0110_4^7 + 3*c_0110_4^6 + 1/4*c_0110_4^5 - 27/4*c_0110_4^4 - 7/4*c_0110_4^3 + 33/4*c_0110_4^2 + c_0110_4 - 4, c_0101_0 - 1, c_0101_1 - 1/8*c_0110_4^9 - 1/2*c_0110_4^8 + 3/8*c_0110_4^7 + 3*c_0110_4^6 + 1/4*c_0110_4^5 - 27/4*c_0110_4^4 - 11/4*c_0110_4^3 + 29/4*c_0110_4^2 + 3*c_0110_4 - 3, c_0101_10 - 1/8*c_0110_4^9 - 1/4*c_0110_4^8 + 11/8*c_0110_4^7 + 9/4*c_0110_4^6 - 23/4*c_0110_4^5 - 29/4*c_0110_4^4 + 39/4*c_0110_4^3 + 43/4*c_0110_4^2 - 13/2*c_0110_4 - 6, c_0101_12 - 1/4*c_0110_4^9 - 3/4*c_0110_4^8 + 7/4*c_0110_4^7 + 21/4*c_0110_4^6 - 11/2*c_0110_4^5 - 14*c_0110_4^4 + 7*c_0110_4^3 + 18*c_0110_4^2 - 7/2*c_0110_4 - 9, c_0101_2 + 1/8*c_0110_4^9 + 1/2*c_0110_4^8 - 3/8*c_0110_4^7 - 3*c_0110_4^6 - 1/4*c_0110_4^5 + 27/4*c_0110_4^4 + 11/4*c_0110_4^3 - 29/4*c_0110_4^2 - 3*c_0110_4 + 3, c_0101_4 + 7/40*c_0110_4^9 + 17/20*c_0110_4^8 + 11/40*c_0110_4^7 - 15/4*c_0110_4^6 - 77/20*c_0110_4^5 + 103/20*c_0110_4^4 + 171/20*c_0110_4^3 - 5/4*c_0110_4^2 - 61/10*c_0110_4 - 13/5, c_0110_10 - 1/4*c_0110_4^9 - 3/4*c_0110_4^8 + 7/4*c_0110_4^7 + 21/4*c_0110_4^6 - 11/2*c_0110_4^5 - 14*c_0110_4^4 + 7*c_0110_4^3 + 18*c_0110_4^2 - 7/2*c_0110_4 - 9, c_0110_3 + 1, c_0110_4^10 + 4*c_0110_4^9 - 3*c_0110_4^8 - 24*c_0110_4^7 - 2*c_0110_4^6 + 54*c_0110_4^5 + 22*c_0110_4^4 - 58*c_0110_4^3 - 32*c_0110_4^2 + 24*c_0110_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB