Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 1090575749] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2333 geometric_solution 5.71976349 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -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 0.249413200027 0.194755773986 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259861012888 1.750142204140 1 4 5 3 0132 0132 0132 1230 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 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681519167567 1.137150462554 2 5 4 1 3012 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681519167567 1.137150462554 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434926465398 0.375111127245 6 6 3 2 0132 2310 2310 0132 0 0 0 0 0 0 -1 1 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 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 0.198306454070 1.348099402967 5 6 6 5 0132 1230 3012 3201 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 -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 -0.263483423049 0.475500707830 ==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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_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_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 38121396/4530791*c_0101_4^12 + 12577881/4530791*c_0101_4^11 + 485993336/4530791*c_0101_4^10 + 25463410/4530791*c_0101_4^9 - 2118996668/4530791*c_0101_4^8 - 675277786/4530791*c_0101_4^7 + 4262526048/4530791*c_0101_4^6 + 2393441781/4530791*c_0101_4^5 - 4812739602/4530791*c_0101_4^4 - 2796326877/4530791*c_0101_4^3 + 3331681401/4530791*c_0101_4^2 + 466642411/4530791*c_0101_4 - 590105718/4530791, c_0011_0 - 1, c_0011_1 - 15431214/4530791*c_0101_4^12 + 41507490/4530791*c_0101_4^11 + 87088156/4530791*c_0101_4^10 - 209986896/4530791*c_0101_4^9 - 176524072/4530791*c_0101_4^8 + 248257674/4530791*c_0101_4^7 + 423168488/4530791*c_0101_4^6 - 378931887/4530791*c_0101_4^5 - 129761686/4530791*c_0101_4^4 + 125982452/4530791*c_0101_4^3 - 7901624/4530791*c_0101_4^2 - 11578467/4530791*c_0101_4 + 3542733/4530791, c_0011_3 + 16933998/4530791*c_0101_4^12 - 53091606/4530791*c_0101_4^11 - 76144171/4530791*c_0101_4^10 + 273634128/4530791*c_0101_4^9 + 98098504/4530791*c_0101_4^8 - 357410790/4530791*c_0101_4^7 - 359005166/4530791*c_0101_4^6 + 607772589/4530791*c_0101_4^5 - 27464418/4530791*c_0101_4^4 - 193809040/4530791*c_0101_4^3 + 68942873/4530791*c_0101_4^2 + 9585241/4530791*c_0101_4 - 7127257/4530791, c_0011_5 + 12617676/4530791*c_0101_4^12 - 39049539/4530791*c_0101_4^11 - 62160411/4530791*c_0101_4^10 + 209338028/4530791*c_0101_4^9 + 107065370/4530791*c_0101_4^8 - 295661491/4530791*c_0101_4^7 - 337724001/4530791*c_0101_4^6 + 452232891/4530791*c_0101_4^5 + 97899343/4530791*c_0101_4^4 - 165365221/4530791*c_0101_4^3 + 21942593/4530791*c_0101_4^2 + 16013506/4530791*c_0101_4 - 3776898/4530791, c_0101_0 + 21381771/4530791*c_0101_3*c_0101_4^12 - 81079311/4530791*c_0101_3*c_0101_4^11 - 60944506/4530791*c_0101_3*c_0101_4^10 + 432507021/4530791*c_0101_3*c_0101_4^9 - 52689161/4530791*c_0101_3*c_0101_4^8 - 654024550/4530791*c_0101_3*c_0101_4^7 - 262660569/4530791*c_0101_3*c_0101_4^6 + 1207148749/4530791*c_0101_3*c_0101_4^5 - 287046024/4530791*c_0101_3*c_0101_4^4 - 428680030/4530791*c_0101_3*c_0101_4^3 + 165300012/4530791*c_0101_3*c_0101_4^2 + 23711468/4530791*c_0101_3*c_0101_4 - 16712498/4530791*c_0101_3, c_0101_3^2 - 4786152/4530791*c_0101_4^12 + 4788348/4530791*c_0101_4^11 + 47200004/4530791*c_0101_4^10 - 17068194/4530791*c_0101_4^9 - 152953890/4530791*c_0101_4^8 - 24336718/4530791*c_0101_4^7 + 233172935/4530791*c_0101_4^6 + 101706524/4530791*c_0101_4^5 - 203216780/4530791*c_0101_4^4 - 28476576/4530791*c_0101_4^3 + 50759336/4530791*c_0101_4^2 - 1601005/4530791*c_0101_4 - 5143738/4530791, c_0101_4^13 - 3*c_0101_4^12 - 16/3*c_0101_4^11 + 50/3*c_0101_4^10 + 31/3*c_0101_4^9 - 26*c_0101_4^8 - 29*c_0101_4^7 + 119/3*c_0101_4^6 + 15*c_0101_4^5 - 64/3*c_0101_4^4 - 4/3*c_0101_4^3 + 13/3*c_0101_4^2 - 1/3*c_0101_4 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB