Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 88381909] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1183 geometric_solution 5.05505199 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 1 -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 -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 1.305115292896 0.995378737765 0 5 5 4 0132 0132 3201 0213 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 -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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172362992645 0.335823880493 6 0 6 4 0132 0132 2310 2031 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 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 0.863327820354 1.202500022069 4 3 3 0 0213 1230 3012 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125929670537 0.562641604954 3 2 0 1 0213 1302 0132 0213 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 -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 0.515566242044 0.369465491018 1 1 5 5 2310 0132 1230 3012 0 0 0 0 0 1 -1 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 -1 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 0 0 0 2.038390514014 1.134871267499 2 2 6 6 0132 3201 2031 1302 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 0.472706700456 0.190224649530 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(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' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], '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_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 126414798537/1431562496*c_0101_6^12 - 52001970399/110120192*c_0101_6^11 - 230787163231/1431562496*c_0101_6^10 + 986589357515/715781248*c_0101_6^9 + 79906719675/55060096*c_0101_6^8 - 272783084055/715781248*c_0101_6^7 - 215856394755/110120192*c_0101_6^6 - 1938975646625/1431562496*c_0101_6^5 - 288587725/24682112*c_0101_6^4 + 593757494493/715781248*c_0101_6^3 + 1029167210179/1431562496*c_0101_6^2 + 414658676525/1431562496*c_0101_6 + 66827802985/1431562496, c_0011_0 - 1, c_0011_3 + 2680515/151264*c_0101_6^12 + 15357105/151264*c_0101_6^11 + 10035861/151264*c_0101_6^10 - 20821881/75632*c_0101_6^9 - 30096421/75632*c_0101_6^8 + 47485/75632*c_0101_6^7 + 68067853/151264*c_0101_6^6 + 60958187/151264*c_0101_6^5 + 157455/2608*c_0101_6^4 - 14247823/75632*c_0101_6^3 - 30316481/151264*c_0101_6^2 - 13969775/151264*c_0101_6 - 2648707/151264, c_0011_4 - 247257/9454*c_0101_6^12 - 1385379/9454*c_0101_6^11 - 762333/9454*c_0101_6^10 + 1940877/4727*c_0101_6^9 + 2534085/4727*c_0101_6^8 - 233648/4727*c_0101_6^7 - 6107159/9454*c_0101_6^6 - 4941887/9454*c_0101_6^5 - 7610/163*c_0101_6^4 + 1272911/4727*c_0101_6^3 + 2498721/9454*c_0101_6^2 + 1096077/9454*c_0101_6 + 191935/9454, c_0101_0 + 1891347/151264*c_0101_6^12 + 10463937/151264*c_0101_6^11 + 5393861/151264*c_0101_6^10 - 14319657/75632*c_0101_6^9 - 18496181/75632*c_0101_6^8 + 908509/75632*c_0101_6^7 + 44487549/151264*c_0101_6^6 + 36979963/151264*c_0101_6^5 + 89023/2608*c_0101_6^4 - 9192063/75632*c_0101_6^3 - 18494033/151264*c_0101_6^2 - 8857663/151264*c_0101_6 - 1779123/151264, c_0101_2 + 298077/18908*c_0101_6^12 + 1686711/18908*c_0101_6^11 + 1015775/18908*c_0101_6^10 - 2306369/9454*c_0101_6^9 - 3193341/9454*c_0101_6^8 + 84075/9454*c_0101_6^7 + 7432307/18908*c_0101_6^6 + 6461649/18908*c_0101_6^5 + 14581/326*c_0101_6^4 - 1575785/9454*c_0101_6^3 - 3211459/18908*c_0101_6^2 - 1465509/18908*c_0101_6 - 264197/18908, c_0101_5 - 126525/9454*c_0101_6^12 - 726543/9454*c_0101_6^11 - 489001/9454*c_0101_6^10 + 965936/4727*c_0101_6^9 + 1435998/4727*c_0101_6^8 + 57407/4727*c_0101_6^7 - 3184873/9454*c_0101_6^6 - 2964469/9454*c_0101_6^5 - 9158/163*c_0101_6^4 + 655004/4727*c_0101_6^3 + 1462793/9454*c_0101_6^2 + 713221/9454*c_0101_6 + 148597/9454, c_0101_6^13 + 6*c_0101_6^12 + 16/3*c_0101_6^11 - 43/3*c_0101_6^10 - 80/3*c_0101_6^9 - 20/3*c_0101_6^8 + 25*c_0101_6^7 + 30*c_0101_6^6 + 31/3*c_0101_6^5 - 28/3*c_0101_6^4 - 43/3*c_0101_6^3 - 26/3*c_0101_6^2 - 8/3*c_0101_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB