Magma V2.19-8 Wed Aug 21 2013 01:05:24 on localhost [Seed = 3701130321] Type ? for help. Type -D to quit. Loading file "L14n25793__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25793 geometric_solution 11.77946963 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 1 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 0 1 2 0 -2 0 0 -1 0 1 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616496583623 0.593139973373 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 0 -7 7 -2 0 3 -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 0.756558250881 0.481858114676 8 0 9 5 0132 0132 0132 3012 1 1 1 1 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 0 0 -6 6 0 -6 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318746811398 1.018862302225 8 10 7 0 2031 0132 3120 0132 1 0 1 1 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 0 0 0 0 0 -2 2 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547830244143 0.867379008485 6 11 0 8 0132 0132 0132 2031 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 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 -0.017001724910 1.086788469695 10 1 2 9 2310 0132 1230 3120 1 1 1 1 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 -6 6 0 0 -6 6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877267759559 0.676879161694 4 9 1 12 0132 1230 0132 0132 1 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 0 0 0 0 -7 7 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 0.188371687003 0.720121115421 12 11 3 1 0132 2310 3120 0132 1 0 1 1 0 1 0 -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 -7 0 7 1 0 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592481507042 1.204373611547 2 4 3 12 0132 1302 1302 1023 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 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 0.516915806573 0.651564876696 5 11 6 2 3120 3012 3012 0132 1 1 1 1 0 0 0 0 1 0 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 -6 0 0 6 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082336729027 0.552685659414 12 3 5 11 1230 0132 3201 3012 1 1 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 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500624776283 0.569263853377 9 4 10 7 1230 0132 1230 3201 1 1 1 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 -6 -1 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.430777035679 0.370697031602 7 10 6 8 0132 3012 0132 1023 1 0 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 7 -7 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 0.354686076157 1.263537898047 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_0101_3'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : 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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_11'], '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_0011_9'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_10, c_0011_11, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 5356725186829/3857637396249*c_1001_5^8 - 1465816043413/78727293801*c_1001_5^7 - 70050635805244/3857637396249*c_1001_5^6 - 405800240712/8747477089*c_1001_5^5 - 2581217254016/78727293801*c_1001_5^4 - 22117953479285/551091056607*c_1001_5^3 - 26203729735363/3857637396249*c_1001_5^2 - 275187449564/1285879132083*c_1001_5 + 27286910045123/3857637396249, c_0011_0 - 1, c_0011_10 + 150563/15875639*c_1001_5^8 - 1670820/15875639*c_1001_5^7 - 6204819/15875639*c_1001_5^6 - 16283042/15875639*c_1001_5^5 - 7732888/15875639*c_1001_5^4 - 21728882/15875639*c_1001_5^3 + 6169824/15875639*c_1001_5^2 - 13071666/15875639*c_1001_5 + 5904118/15875639, c_0011_11 + 1358628/15875639*c_1001_5^8 - 19281601/15875639*c_1001_5^7 - 1589833/15875639*c_1001_5^6 - 58231868/15875639*c_1001_5^5 - 4941751/15875639*c_1001_5^4 - 55397047/15875639*c_1001_5^3 + 14742874/15875639*c_1001_5^2 - 21311652/15875639*c_1001_5 + 1496009/15875639, c_0011_12 - 723377/15875639*c_1001_5^8 + 8688437/15875639*c_1001_5^7 + 25262593/15875639*c_1001_5^6 + 7187802/15875639*c_1001_5^5 + 20071776/15875639*c_1001_5^4 - 3348589/15875639*c_1001_5^3 + 14855764/15875639*c_1001_5^2 - 16918949/15875639*c_1001_5 + 1979413/15875639, c_0011_9 - 2272937/15875639*c_1001_5^8 + 32419736/15875639*c_1001_5^7 + 3533508/15875639*c_1001_5^6 + 52755444/15875639*c_1001_5^5 - 16848954/15875639*c_1001_5^4 + 34362632/15875639*c_1001_5^3 - 23338829/15875639*c_1001_5^2 - 3025512/15875639*c_1001_5 - 341702/15875639, c_0101_0 - 1, c_0101_1 - 2709456/15875639*c_1001_5^8 + 41009568/15875639*c_1001_5^7 - 29022855/15875639*c_1001_5^6 + 51325338/15875639*c_1001_5^5 - 60498745/15875639*c_1001_5^4 + 51610034/15875639*c_1001_5^3 - 55132434/15875639*c_1001_5^2 + 8073984/15875639*c_1001_5 + 6271132/15875639, c_0101_10 - 1391329/15875639*c_1001_5^8 + 20411051/15875639*c_1001_5^7 - 5345622/15875639*c_1001_5^6 + 22596237/15875639*c_1001_5^5 - 13779407/15875639*c_1001_5^4 + 19104246/15875639*c_1001_5^3 - 17279672/15875639*c_1001_5^2 + 10087718/15875639*c_1001_5 + 4140971/15875639, c_0101_11 + 198075/15875639*c_1001_5^8 - 2905477/15875639*c_1001_5^7 + 1516313/15875639*c_1001_5^6 - 13758581/15875639*c_1001_5^5 - 2972789/15875639*c_1001_5^4 - 28331055/15875639*c_1001_5^3 + 7255855/15875639*c_1001_5^2 - 7856869/15875639*c_1001_5 + 15108728/15875639, c_0101_3 + 804247/15875639*c_1001_5^8 - 10150399/15875639*c_1001_5^7 - 21005922/15875639*c_1001_5^6 - 7743301/15875639*c_1001_5^5 - 22137496/15875639*c_1001_5^4 + 19872038/15875639*c_1001_5^3 - 20683757/15875639*c_1001_5^2 + 14083444/15875639*c_1001_5 - 19307894/15875639, c_0101_5 - 98559/1221203*c_1001_5^8 + 1340255/1221203*c_1001_5^7 + 1055125/1221203*c_1001_5^6 + 2755074/1221203*c_1001_5^5 + 2319138/1221203*c_1001_5^4 + 1558971/1221203*c_1001_5^3 + 923080/1221203*c_1001_5^2 - 877680/1221203*c_1001_5 + 493763/1221203, c_0101_7 + 2441163/15875639*c_1001_5^8 - 34701584/15875639*c_1001_5^7 - 6422855/15875639*c_1001_5^6 - 41573658/15875639*c_1001_5^5 - 6570779/15875639*c_1001_5^4 - 34165436/15875639*c_1001_5^3 + 4937801/15875639*c_1001_5^2 + 17229293/15875639*c_1001_5 - 15011166/15875639, c_1001_5^9 - 14*c_1001_5^8 - 5*c_1001_5^7 - 28*c_1001_5^6 - 21*c_1001_5^4 + 15*c_1001_5^3 - 2*c_1001_5^2 + 4*c_1001_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB