Magma V2.19-8 Wed Aug 21 2013 01:04:33 on localhost [Seed = 1031480647] Type ? for help. Type -D to quit. Loading file "L14n24327__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24327 geometric_solution 11.82900485 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 1 0 0 0 0 0 -1 5 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960577594913 0.989154220754 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407063348216 0.439041398716 4 0 9 8 0213 0132 0132 0132 1 1 0 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 1 -1 0 0 0 0 0 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486327907273 0.645691335092 10 7 6 0 0132 0213 2310 0132 1 0 0 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 1 -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 0.488097738984 0.688635791824 2 5 0 11 0213 0321 0132 0132 1 0 1 1 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 0 0 0 -1 0 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342139474824 0.455598596777 7 1 9 4 0321 0132 0213 0321 1 1 1 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 0 0 0 0.760603262843 0.850527841477 10 3 1 8 2103 3201 0132 0321 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 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 0.473441442973 0.810979806339 5 12 3 1 0321 0132 0213 0132 1 0 1 1 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 -1 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385173945274 1.109898391374 12 6 2 11 2031 0321 0132 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 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 -0.420103325404 1.149424490069 10 5 11 2 1023 0213 2031 0132 1 1 1 0 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 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085523510681 1.376212802007 3 9 6 12 0132 1023 2103 3120 1 0 1 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 0 0 0 1 0 0 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107555650810 0.957227488281 12 8 4 9 3120 1302 0132 1302 1 0 1 1 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 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 1.476938062757 1.277951279896 10 7 8 11 3120 0132 1302 3120 1 0 1 1 0 0 0 0 -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 0 0 1 0 0 -1 -5 4 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.274346837279 1.182390692341 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_8'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0110_8'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : 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' : 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' : negation(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' : negation(d['c_1010_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1010_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], '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' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : 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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_8'])})} 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_6, c_0011_8, c_0101_0, c_0101_11, c_0101_3, c_0110_8, c_1001_0, c_1001_2, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 31361/31510*c_1010_11^8 - 7157/1370*c_1010_11^7 - 223733/31510*c_1010_11^6 + 37427/31510*c_1010_11^5 + 7997/1370*c_1010_11^4 - 97237/31510*c_1010_11^3 - 15302/15755*c_1010_11^2 + 1908/15755*c_1010_11 + 18134/15755, c_0011_0 - 1, c_0011_10 - 18/137*c_1010_11^8 - 26/137*c_1010_11^7 + 155/137*c_1010_11^6 + 98/137*c_1010_11^5 - 595/137*c_1010_11^4 - 529/137*c_1010_11^3 + 559/137*c_1010_11^2 + 30/137*c_1010_11 + 124/137, c_0011_11 - 16/137*c_1010_11^8 - 84/137*c_1010_11^7 - 121/137*c_1010_11^6 + 11/137*c_1010_11^5 + 217/137*c_1010_11^4 + 230/137*c_1010_11^3 + 25/137*c_1010_11^2 - 156/137*c_1010_11 + 95/137, c_0011_12 + 37/137*c_1010_11^8 + 160/137*c_1010_11^7 + 100/137*c_1010_11^6 - 171/137*c_1010_11^5 + 89/137*c_1010_11^4 + 410/137*c_1010_11^3 - 289/137*c_1010_11^2 - 16/137*c_1010_11 + 80/137, c_0011_6 + 168/137*c_1010_11^8 + 745/137*c_1010_11^7 + 517/137*c_1010_11^6 - 1006/137*c_1010_11^5 - 703/137*c_1010_11^4 + 1010/137*c_1010_11^3 - 468/137*c_1010_11^2 + 268/137*c_1010_11 - 107/137, c_0011_8 + 27/137*c_1010_11^8 + 176/137*c_1010_11^7 + 384/137*c_1010_11^6 + 264/137*c_1010_11^5 - 135/137*c_1010_11^4 - 97/137*c_1010_11^3 + 52/137*c_1010_11^2 - 182/137*c_1010_11 - 49/137, c_0101_0 - 1, c_0101_11 - 110/137*c_1010_11^8 - 509/137*c_1010_11^7 - 438/137*c_1010_11^6 + 538/137*c_1010_11^5 + 413/137*c_1010_11^4 - 782/137*c_1010_11^3 + 189/137*c_1010_11^2 + 92/137*c_1010_11 + 88/137, c_0101_3 + 92/137*c_1010_11^8 + 483/137*c_1010_11^7 + 593/137*c_1010_11^6 - 440/137*c_1010_11^5 - 1008/137*c_1010_11^4 + 253/137*c_1010_11^3 + 370/137*c_1010_11^2 - 62/137*c_1010_11 + 36/137, c_0110_8 - 54/137*c_1010_11^8 - 215/137*c_1010_11^7 - 83/137*c_1010_11^6 + 294/137*c_1010_11^5 - 4/137*c_1010_11^4 - 354/137*c_1010_11^3 + 444/137*c_1010_11^2 - 184/137*c_1010_11 + 98/137, c_1001_0 - 146/137*c_1010_11^8 - 698/137*c_1010_11^7 - 676/137*c_1010_11^6 + 734/137*c_1010_11^5 + 1004/137*c_1010_11^4 - 607/137*c_1010_11^3 + 74/137*c_1010_11^2 - 122/137*c_1010_11 + 62/137, c_1001_2 - 22/137*c_1010_11^8 - 47/137*c_1010_11^7 + 159/137*c_1010_11^6 + 272/137*c_1010_11^5 - 301/137*c_1010_11^4 - 403/137*c_1010_11^3 + 394/137*c_1010_11^2 - 146/137*c_1010_11 + 45/137, c_1010_11^9 + 4*c_1010_11^8 + c_1010_11^7 - 8*c_1010_11^6 - 2*c_1010_11^5 + 9*c_1010_11^4 - 5*c_1010_11^3 + c_1010_11^2 - c_1010_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.540 seconds, Total memory usage: 32.09MB