Magma V2.19-8 Wed Aug 21 2013 01:08:37 on localhost [Seed = 4105366949] Type ? for help. Type -D to quit. Loading file "L14n41099__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n41099 geometric_solution 10.48045105 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 2 0 2 2 0 0 0 0 2 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 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 1.018788826150 0.540616100885 0 0 4 4 0132 1302 0213 0132 0 0 2 2 0 1 -1 0 -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 1 -1 0 -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 0.234106486168 0.406418243422 5 0 7 6 0132 0132 0132 0132 2 0 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918640032862 1.032045014062 4 8 8 0 0132 0132 3201 0132 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991343449420 0.158681287395 3 1 1 9 0132 0213 0132 0132 0 0 0 2 0 1 0 -1 1 0 0 -1 0 -2 0 2 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.018788826150 0.540616100885 2 7 10 10 0132 3120 0132 0321 1 0 2 2 0 0 0 0 0 0 1 -1 1 0 0 -1 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 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967895386615 0.923754936604 11 11 2 9 0132 2310 0132 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 0.113158089232 0.602597369479 12 5 12 2 0132 3120 3012 0132 2 0 2 1 0 1 -1 0 2 0 -2 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 1 -2 1 1 0 -1 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032104613385 0.923754936604 3 3 11 11 2310 0132 2310 0132 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 1.312066156995 0.423722773625 6 12 4 10 3201 1230 0132 3120 0 0 2 0 0 -2 1 1 0 0 1 -1 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 -1 1 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 0.918640032862 1.032045014062 9 5 12 5 3120 0321 2031 0132 1 0 2 0 0 0 0 0 1 0 0 -1 0 1 0 -1 -1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459320016431 0.516022507031 6 8 8 6 0132 3201 0132 3201 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 -0.718809659146 0.816221327713 7 7 9 10 0132 1230 3012 1302 0 0 1 2 0 2 -2 0 -2 0 2 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 1 -1 0 -1 0 1 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537957080925 0.481482693461 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : 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' : negation(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_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0011_11'], '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_0101_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_12']), '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_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_11']})} 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_12, c_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 29798957/1120768*c_1001_0^5 - 3362485/50944*c_1001_0^4 - 204984435/1120768*c_1001_0^3 - 178105607/560384*c_1001_0^2 - 333968513/1120768*c_1001_0 - 352120947/1120768, c_0011_0 - 1, c_0011_10 + 17/24*c_1001_0^5 + 9/8*c_1001_0^4 + 49/12*c_1001_0^3 + 25/6*c_1001_0^2 + 43/8*c_1001_0 + 13/6, c_0011_11 + 1/6*c_1001_0^5 + 1/2*c_1001_0^4 + 2/3*c_1001_0^3 + 4/3*c_1001_0^2 + 1/2*c_1001_0 + 1/3, c_0011_12 - 1, c_0011_3 + 1/48*c_1001_0^5 + 1/16*c_1001_0^4 + 5/24*c_1001_0^3 + 5/12*c_1001_0^2 + 11/16*c_1001_0 + 11/12, c_0011_9 - 41/48*c_1001_0^5 - 25/16*c_1001_0^4 - 133/24*c_1001_0^3 - 73/12*c_1001_0^2 - 131/16*c_1001_0 - 43/12, c_0101_0 - 1, c_0101_10 - 7/256*c_1001_0^5 - 47/768*c_1001_0^4 - 73/384*c_1001_0^3 - 49/192*c_1001_0^2 - 149/768*c_1001_0 + 37/192, c_0101_11 + 5/768*c_1001_0^5 - 1/768*c_1001_0^4 - 7/384*c_1001_0^3 - 31/192*c_1001_0^2 - 379/768*c_1001_0 - 7/64, c_0101_5 + 9/16*c_1001_0^5 + 11/16*c_1001_0^4 + 21/8*c_1001_0^3 + 9/4*c_1001_0^2 + 41/16*c_1001_0 + 3/4, c_0101_7 + 7/48*c_1001_0^5 + 7/16*c_1001_0^4 + 35/24*c_1001_0^3 + 23/12*c_1001_0^2 + 45/16*c_1001_0 + 17/12, c_0101_8 - 1/16*c_1001_0^5 - 3/16*c_1001_0^4 - 5/8*c_1001_0^3 - 5/4*c_1001_0^2 - 17/16*c_1001_0 - 3/4, c_1001_0^6 + 2*c_1001_0^5 + 7*c_1001_0^4 + 10*c_1001_0^3 + 13*c_1001_0^2 + 11*c_1001_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB