Magma V2.19-8 Tue Aug 20 2013 16:18:18 on localhost [Seed = 4155927232] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2504 geometric_solution 5.82509919 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 0 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 0.126097708062 0.755874500069 0 0 5 4 0132 2310 0132 0132 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785273094135 1.287149426555 3 0 6 5 2310 0132 0132 3012 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 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 -0.023724027028 0.504685520100 4 4 2 0 3120 2031 3201 0132 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 1 0 -1 1 0 -2 1 -1 -1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.506200410041 1.651676047773 3 5 1 3 1302 2031 0132 3120 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 1 0 -1 1 0 0 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.169622710179 0.553460175067 4 6 2 1 1302 3012 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785836801153 0.387409540299 5 6 6 2 1230 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596051831281 1.912947342466 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 13463627/16439392*c_0101_6^11 - 1677027/2054924*c_0101_6^10 - 16511897/8219696*c_0101_6^9 - 127199261/16439392*c_0101_6^8 - 41811961/16439392*c_0101_6^7 - 144598863/8219696*c_0101_6^6 - 222778089/8219696*c_0101_6^5 - 7913659/2054924*c_0101_6^4 - 18941835/1027462*c_0101_6^3 + 56762357/16439392*c_0101_6^2 + 905297955/16439392*c_0101_6 + 181038431/8219696, c_0011_0 - 1, c_0011_3 - 811543/8219696*c_0101_6^11 + 158047/1027462*c_0101_6^10 - 2155773/4109848*c_0101_6^9 + 2618335/8219696*c_0101_6^8 - 4017293/8219696*c_0101_6^7 - 4509747/4109848*c_0101_6^6 + 2570419/4109848*c_0101_6^5 - 894757/1027462*c_0101_6^4 + 133560/513731*c_0101_6^3 + 19391625/8219696*c_0101_6^2 - 6786161/8219696*c_0101_6 + 2015035/4109848, c_0011_4 + 179355/4109848*c_0101_6^11 - 34857/513731*c_0101_6^10 + 359845/2054924*c_0101_6^9 - 20211/4109848*c_0101_6^8 - 359511/4109848*c_0101_6^7 + 1555191/2054924*c_0101_6^6 - 645115/2054924*c_0101_6^5 - 133560/513731*c_0101_6^4 + 360388/513731*c_0101_6^3 - 1881949/4109848*c_0101_6^2 - 2015035/4109848*c_0101_6 + 1243381/2054924, c_0011_6 - 68037/8219696*c_0101_6^11 + 75539/1027462*c_0101_6^10 - 701063/4109848*c_0101_6^9 + 2472957/8219696*c_0101_6^8 - 1494775/8219696*c_0101_6^7 - 451569/4109848*c_0101_6^6 + 3839161/4109848*c_0101_6^5 - 755399/1027462*c_0101_6^4 - 19023/513731*c_0101_6^3 + 6647387/8219696*c_0101_6^2 - 1780163/8219696*c_0101_6 + 680513/4109848, c_0101_1 + 1, c_0101_3 + 179355/4109848*c_0101_6^11 - 34857/513731*c_0101_6^10 + 359845/2054924*c_0101_6^9 - 20211/4109848*c_0101_6^8 - 359511/4109848*c_0101_6^7 + 1555191/2054924*c_0101_6^6 - 645115/2054924*c_0101_6^5 - 133560/513731*c_0101_6^4 + 360388/513731*c_0101_6^3 - 1881949/4109848*c_0101_6^2 - 2015035/4109848*c_0101_6 + 1243381/2054924, c_0101_6^12 - 2*c_0101_6^11 + 6*c_0101_6^10 - 5*c_0101_6^9 + 5*c_0101_6^8 + 12*c_0101_6^7 - 14*c_0101_6^6 + 12*c_0101_6^5 - 31*c_0101_6^3 + 13*c_0101_6^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB