Magma V2.19-8 Tue Aug 20 2013 16:18:22 on localhost [Seed = 559987726] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2577 geometric_solution 5.87695474 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 2.145836633866 0.734420592280 0 2 3 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 0.078514933943 0.583595564952 4 1 5 3 0132 0132 0132 2031 0 0 0 0 0 0 -1 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 -1 0 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 0.568293284852 0.805617497980 5 2 6 1 2310 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 0.568293284852 0.805617497980 2 6 5 6 0132 3201 1302 2310 0 0 0 0 0 0 -1 1 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 -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 0.954709714942 0.629877756008 4 6 3 2 2031 3120 3201 0132 0 0 0 0 0 0 -1 1 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 0 0 0 1 0 -1 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 0.221722484016 0.407597544162 4 5 4 3 3201 3120 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954709714942 0.629877756008 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(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_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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 179274438421/27837544960*c_0101_3^13 - 122352314229/13918772480*c_0101_3^12 + 246916829567/27837544960*c_0101_3^11 - 1873251103889/27837544960*c_0101_3^10 + 119264114383/6959386240*c_0101_3^9 + 688001873015/5567508992*c_0101_3^8 + 568729179711/6959386240*c_0101_3^7 - 469985307759/1739846560*c_0101_3^6 + 79972594841/434961640*c_0101_3^5 - 3480156467239/27837544960*c_0101_3^4 + 8494187937/695938624*c_0101_3^3 + 610116031403/13918772480*c_0101_3\ ^2 - 578781071083/27837544960*c_0101_3 + 603558832213/27837544960, c_0011_0 - 1, c_0011_1 + 249275/10874041*c_0101_3^13 - 263851/10874041*c_0101_3^12 + 338382/10874041*c_0101_3^11 - 2616053/10874041*c_0101_3^10 - 366024/10874041*c_0101_3^9 + 4560715/10874041*c_0101_3^8 + 3946726/10874041*c_0101_3^7 - 4623819/10874041*c_0101_3^6 + 1674826/10874041*c_0101_3^5 - 14494365/10874041*c_0101_3^4 + 924617/10874041*c_0101_3^3 + 29165405/10874041*c_0101_3^2 - 4759400/10874041*c_0101_3 - 524197/10874041, c_0011_3 + 5404301/10874041*c_0101_3^13 - 3711006/10874041*c_0101_3^12 + 4880104/10874041*c_0101_3^11 - 52598990/10874041*c_0101_3^10 - 21153577/10874041*c_0101_3^9 + 90142736/10874041*c_0101_3^8 + 125455591/10874041*c_0101_3^7 - 149202078/10874041*c_0101_3^6 + 56342496/10874041*c_0101_3^5 - 47556545/10874041*c_0101_3^4 - 26711715/10874041*c_0101_3^3 + 20938450/10874041*c_0101_3^2 - 1538972/10874041*c_0101_3 + 8910837/10874041, c_0011_5 + 524197/10874041*c_0101_3^13 - 274922/10874041*c_0101_3^12 + 260346/10874041*c_0101_3^11 - 4903588/10874041*c_0101_3^10 - 3140250/10874041*c_0101_3^9 + 9593719/10874041*c_0101_3^8 + 14520458/10874041*c_0101_3^7 - 14924366/10874041*c_0101_3^6 + 3763333/10874041*c_0101_3^5 - 4091341/10874041*c_0101_3^4 - 16066956/10874041*c_0101_3^3 + 4069799/10874041*c_0101_3^2 + 17767167/10874041*c_0101_3 - 3711006/10874041, c_0101_0 + 939120/10874041*c_0101_3^13 + 644870/10874041*c_0101_3^12 - 2881982/10874041*c_0101_3^11 - 7434238/10874041*c_0101_3^10 - 17804859/10874041*c_0101_3^9 + 36590879/10874041*c_0101_3^8 + 67004769/10874041*c_0101_3^7 - 39545001/10874041*c_0101_3^6 - 115057025/10874041*c_0101_3^5 + 62697390/10874041*c_0101_3^4 + 4302859/10874041*c_0101_3^3 - 1272656/10874041*c_0101_3^2 + 17838909/10874041*c_0101_3 - 3276345/10874041, c_0101_2 + c_0101_3, c_0101_3^14 - c_0101_3^13 + c_0101_3^12 - 10*c_0101_3^11 - c_0101_3^10 + 19*c_0101_3^9 + 19*c_0101_3^8 - 36*c_0101_3^7 + 16*c_0101_3^6 - 11*c_0101_3^5 - 3*c_0101_3^4 + 6*c_0101_3^3 - c_0101_3^2 + 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB