Magma V2.19-8 Wed Aug 21 2013 01:00:11 on localhost [Seed = 3448493815] Type ? for help. Type -D to quit. Loading file "L13n8741__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n8741 geometric_solution 11.80458160 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 1 0 0 0 -1 1 1 0 -1 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 0 1 -1 5 0 -4 -1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.234248740547 1.173884199490 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 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 0 0 0 -5 0 5 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 7 0 9 8 0132 0132 0132 0132 2 1 0 1 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404595950828 0.425401451827 6 10 9 0 0132 0132 3120 0132 2 1 0 2 0 -1 0 1 -1 0 0 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 1 0 -1 -4 0 0 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530182270528 0.704066470019 7 8 0 6 2031 2031 0132 2031 2 1 0 1 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 -2 1 1 -1 0 1 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163481448991 0.819250039219 10 1 11 12 0213 0132 0132 0132 1 2 1 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 1 -1 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 3 4 1 9 0132 1302 0132 1230 1 1 2 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 0 0 0 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111922995024 0.794441450409 2 12 4 1 0132 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 1 -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 -1 1 0 0 0 5 -5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 4 11 2 9 1302 3012 0132 3201 2 1 2 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 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655768590228 0.982731488210 6 8 3 2 3012 2310 3120 0132 2 1 1 2 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 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317481544615 1.406364445433 5 3 12 11 0213 0132 1302 3012 2 1 2 0 0 1 -1 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 -1 1 0 -5 0 4 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 1.000000000000 1.000000000000 8 12 10 5 1230 0321 1230 0132 1 2 0 2 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 -1 0 2 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 1.000000000000 1.000000000000 10 7 5 11 2031 0132 0132 0321 1 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 1 0 -1 -1 0 1 0 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 ==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' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_0110_4'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0110_4'], 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0011_9']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_11']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : d['c_0101_1'], '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_0011_4']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_9'], '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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_9, c_0110_4, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 13/896*c_1001_1^5 - 39/224*c_1001_1^4 + 149/224*c_1001_1^3 - 67/56*c_1001_1^2 + 109/224*c_1001_1 - 25/28, c_0011_0 - 1, c_0011_10 - 3/56*c_1001_1^5 + 1/7*c_1001_1^4 - 1/14*c_1001_1^3 - 13/14*c_1001_1^2 - 9/14*c_1001_1 - 6/7, c_0011_11 + 1, c_0011_4 - 1/112*c_1001_1^5 - 1/56*c_1001_1^4 + 1/14*c_1001_1^3 - 1/14*c_1001_1^2 - 31/28*c_1001_1 - 9/14, c_0011_9 - 3/28*c_1001_1^5 + 23/56*c_1001_1^4 - 9/14*c_1001_1^3 - 17/28*c_1001_1^2 - 9/7*c_1001_1 - 5/7, c_0101_0 - 13/112*c_1001_1^5 + 29/56*c_1001_1^4 - 15/14*c_1001_1^3 + 1/14*c_1001_1^2 - 39/28*c_1001_1 + 9/14, c_0101_1 - 1, c_0101_11 + c_1001_1, c_0101_12 + 1/28*c_1001_1^5 - 5/28*c_1001_1^4 + 13/28*c_1001_1^3 - 3/14*c_1001_1^2 - 1/14*c_1001_1 - 3/7, c_0101_9 + 1/28*c_1001_1^5 - 3/56*c_1001_1^4 - 1/28*c_1001_1^3 + 15/28*c_1001_1^2 + 13/14*c_1001_1 + 4/7, c_0110_4 + 3/56*c_1001_1^5 - 1/7*c_1001_1^4 + 1/14*c_1001_1^3 + 13/14*c_1001_1^2 + 9/14*c_1001_1 + 6/7, c_0110_8 + 1/28*c_1001_1^5 - 3/56*c_1001_1^4 - 1/28*c_1001_1^3 + 15/28*c_1001_1^2 + 13/14*c_1001_1 + 4/7, c_1001_1^6 - 4*c_1001_1^5 + 8*c_1001_1^4 + 20*c_1001_1^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB