Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 3035965543] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1214 geometric_solution 5.11308861 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 2.078909826995 0.810801692961 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.657897074759 0.123754618539 0 3 4 0 3201 0132 0132 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 1 0 -1 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 0.736776115848 0.694261487091 5 2 6 4 0132 0132 0132 3201 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 -1 0 1 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 0.047241389511 0.637231398288 6 3 5 2 1023 2310 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047241389511 0.637231398288 3 4 5 5 0132 3201 1230 3012 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 0 -1 1 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175350135697 1.056542688431 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -0.115703889696 1.560710897409 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], '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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4502388/6439*c_0101_5^10 - 32152500/6439*c_0101_5^9 - 26679539/6439*c_0101_5^8 + 231501789/6439*c_0101_5^7 + 76617501/6439*c_0101_5^6 - 484280573/6439*c_0101_5^5 - 96513792/6439*c_0101_5^4 + 366741072/6439*c_0101_5^3 + 55842070/6439*c_0101_5^2 - 81676475/6439*c_0101_5 - 19068117/6439, c_0011_0 - 1, c_0011_2 + 19376/6439*c_0101_5^10 - 137528/6439*c_0101_5^9 - 120255/6439*c_0101_5^8 + 987823/6439*c_0101_5^7 + 366962/6439*c_0101_5^6 - 2052232/6439*c_0101_5^5 - 474772/6439*c_0101_5^4 + 1553455/6439*c_0101_5^3 + 264442/6439*c_0101_5^2 - 353291/6439*c_0101_5 - 82870/6439, c_0011_4 - 17127/6439*c_0101_5^10 + 121105/6439*c_0101_5^9 + 108424/6439*c_0101_5^8 - 863334/6439*c_0101_5^7 - 332072/6439*c_0101_5^6 + 1746417/6439*c_0101_5^5 + 397358/6439*c_0101_5^4 - 1229933/6439*c_0101_5^3 - 174762/6439*c_0101_5^2 + 238293/6439*c_0101_5 + 48530/6439, c_0101_0 - 23317/6439*c_0101_5^10 + 170730/6439*c_0101_5^9 + 109479/6439*c_0101_5^8 - 1233008/6439*c_0101_5^7 - 195146/6439*c_0101_5^6 + 2636522/6439*c_0101_5^5 + 124768/6439*c_0101_5^4 - 2063943/6439*c_0101_5^3 - 86457/6439*c_0101_5^2 + 478394/6439*c_0101_5 + 92770/6439, c_0101_1 + 3097/6439*c_0101_5^10 - 21453/6439*c_0101_5^9 - 25176/6439*c_0101_5^8 + 170412/6439*c_0101_5^7 + 95784/6439*c_0101_5^6 - 415470/6439*c_0101_5^5 - 158313/6439*c_0101_5^4 + 378318/6439*c_0101_5^3 + 116019/6439*c_0101_5^2 - 104688/6439*c_0101_5 - 33660/6439, c_0101_3 + 11305/6439*c_0101_5^10 - 77915/6439*c_0101_5^9 - 83881/6439*c_0101_5^8 + 543840/6439*c_0101_5^7 + 304805/6439*c_0101_5^6 - 1034379/6439*c_0101_5^5 - 397441/6439*c_0101_5^4 + 663048/6439*c_0101_5^3 + 160296/6439*c_0101_5^2 - 101237/6439*c_0101_5 - 22097/6439, c_0101_5^11 - 7*c_0101_5^10 - 7*c_0101_5^9 + 51*c_0101_5^8 + 25*c_0101_5^7 - 108*c_0101_5^6 - 40*c_0101_5^5 + 83*c_0101_5^4 + 29*c_0101_5^3 - 18*c_0101_5^2 - 9*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB