Magma V2.19-8 Wed Aug 21 2013 00:57:38 on localhost [Seed = 1528644073] Type ? for help. Type -D to quit. Loading file "L13n4382__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4382 geometric_solution 12.22608792 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 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 0 0 0 0 1 0 -1 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 0.131679355389 0.908888118528 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 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 0.843873973020 1.077625953560 6 7 8 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.074773745851 0.927177016780 9 9 0 5 0132 1302 0132 2031 1 1 1 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 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 0.511650367393 0.554671282138 10 1 9 10 0132 0132 1023 2031 1 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 0 0 0 0 0 0 0 -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 0.080692954400 0.661414216572 11 3 1 8 0132 1302 0132 1302 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 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.987245396905 0.885980321249 2 11 11 12 0132 0213 0132 0132 1 1 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 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 0.588754324600 0.959592547672 8 2 12 12 1230 0132 1302 2031 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040728986015 1.380055337902 12 7 5 2 3201 3012 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934832681159 1.007667297831 3 10 4 3 0132 1230 1023 2031 1 1 0 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 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 0.894174808277 1.015610649105 4 4 9 11 0132 1302 3012 2031 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.818250973439 1.489738365762 5 10 6 6 0132 1302 0213 0132 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 0 0 0 0 0 1 -1 0 -1 0 1 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 0.535481043707 0.757105145707 7 7 6 8 2031 1302 0132 2310 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 0 0 0 0 0 0 0 0 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 0.880761613734 0.902975136385 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_4'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_2'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_2']), 'c_0101_10' : d['c_0011_3'], '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' : 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' : 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' : negation(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_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_1010_5']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0011_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), '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_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0101_8']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], '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_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_12'], '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_11, c_0011_12, c_0011_2, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_4, c_0101_8, c_0101_9, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2311/11*c_1010_5^5 + 4589/7*c_1010_5^4 + 100458/77*c_1010_5^3 + 65165/77*c_1010_5^2 + 59937/77*c_1010_5 + 24868/77, c_0011_0 - 1, c_0011_11 - 423/671*c_1010_5^5 - 642/427*c_1010_5^4 - 1835/671*c_1010_5^3 + 4/671*c_1010_5^2 - 2487/4697*c_1010_5 - 293/4697, c_0011_12 + 99/61*c_1010_5^5 + 1780/427*c_1010_5^4 + 471/61*c_1010_5^3 + 99/61*c_1010_5^2 + 1536/427*c_1010_5 - 313/427, c_0011_2 + 375/671*c_1010_5^5 + 660/427*c_1010_5^4 + 12106/4697*c_1010_5^3 + 1893/4697*c_1010_5^2 + 2990/4697*c_1010_5 + 2406/4697, c_0011_3 + 293/671*c_1010_5^5 + 157/427*c_1010_5^4 + 1142/4697*c_1010_5^3 - 13138/4697*c_1010_5^2 + 4716/4697*c_1010_5 - 8942/4697, c_0011_8 - 911/671*c_1010_5^5 - 1313/427*c_1010_5^4 - 23825/4697*c_1010_5^3 + 3566/4697*c_1010_5^2 - 1462/671*c_1010_5 + 5868/4697, c_0101_0 - 1, c_0101_1 + 668/671*c_1010_5^5 + 817/427*c_1010_5^4 + 13248/4697*c_1010_5^3 - 11245/4697*c_1010_5^2 + 3009/4697*c_1010_5 - 6536/4697, c_0101_12 - 1577/671*c_1010_5^5 - 2451/427*c_1010_5^4 - 47247/4697*c_1010_5^3 - 4085/4697*c_1010_5^2 - 24643/4697*c_1010_5 + 701/671, c_0101_4 - 423/671*c_1010_5^5 - 642/427*c_1010_5^4 - 1835/671*c_1010_5^3 + 4/671*c_1010_5^2 - 7184/4697*c_1010_5 - 293/4697, c_0101_8 + 423/671*c_1010_5^5 + 642/427*c_1010_5^4 + 1835/671*c_1010_5^3 - 4/671*c_1010_5^2 + 2487/4697*c_1010_5 - 4404/4697, c_0101_9 + 180/671*c_1010_5^5 + 146/427*c_1010_5^4 + 324/671*c_1010_5^3 - 1101/671*c_1010_5^2 - 41/4697*c_1010_5 - 375/4697, c_1010_5^6 + 16/7*c_1010_5^5 + 4*c_1010_5^4 - 1/7*c_1010_5^3 + 16/7*c_1010_5^2 - 6/7*c_1010_5 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.790 Total time: 0.990 seconds, Total memory usage: 32.09MB