Magma V2.19-8 Tue Aug 20 2013 23:30:49 on localhost [Seed = 3970599573] Type ? for help. Type -D to quit. Loading file "L13n50__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n50 geometric_solution 8.14071922 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 1 -1 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 1 0 -1 0 0 -2 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 1.020805500999 0.829997402656 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 -2 1 1 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410259303669 0.479506865623 6 0 7 4 0132 0132 0132 2103 1 1 1 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 -1 0 1 0 0 -2 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.163481448991 0.819250039219 4 8 7 0 0132 0132 0321 0132 1 1 1 1 0 0 0 0 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 0 0 0 -2 0 0 2 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479506865623 0.589740696331 3 8 1 2 0132 3201 0132 2103 1 1 1 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 0 0 0 0 0 0 0 2 0 0 -2 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172115704886 1.491365744105 7 6 8 1 0321 0321 1230 0132 1 1 0 1 0 -1 0 1 1 0 -1 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 -2 -1 0 1 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 -0.111922995024 0.794441450409 2 7 8 5 0132 3120 3201 0321 1 1 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 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 0.469817729472 0.704066470019 5 6 3 2 0321 3120 0321 0132 1 1 0 1 0 0 0 0 0 0 1 -1 -1 0 0 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 0 -2 2 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 6 3 4 5 2310 0132 2310 3012 1 1 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 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 0.152734085554 0.676574091227 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_0'], 's_2_8' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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_8' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_3']), 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_3, c_0101_6, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 11115/32*c_1001_0^5 - 8823/32*c_1001_0^4 - 245/16*c_1001_0^3 + 2409/16*c_1001_0^2 - 2045/32*c_1001_0 - 559/32, c_0011_0 - 1, c_0011_3 + 45/4*c_1001_0^5 + 3/2*c_1001_0^4 + 1/2*c_1001_0^3 + 3*c_1001_0^2 + 5/4*c_1001_0 + 1/2, c_0011_5 + 45/32*c_1001_0^5 + 231/32*c_1001_0^4 + 31/16*c_1001_0^3 - 27/16*c_1001_0^2 + 57/32*c_1001_0 + 27/32, c_0011_7 + 135/16*c_1001_0^5 - 207/16*c_1001_0^4 + 33/8*c_1001_0^3 + 19/8*c_1001_0^2 - 77/16*c_1001_0 + 13/16, c_0101_0 - 1, c_0101_3 + 225/32*c_1001_0^5 + 75/32*c_1001_0^4 - 37/16*c_1001_0^3 + 25/16*c_1001_0^2 + 61/32*c_1001_0 - 1/32, c_0101_6 + c_1001_0, c_0101_8 - 225/16*c_1001_0^5 + 105/16*c_1001_0^4 - 11/8*c_1001_0^3 - 49/8*c_1001_0^2 + 19/16*c_1001_0 - 19/16, c_1001_0^6 + 2/15*c_1001_0^5 - 13/45*c_1001_0^4 + 4/9*c_1001_0^3 + 7/45*c_1001_0^2 - 2/45*c_1001_0 + 1/45 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB