Magma V2.19-8 Tue Aug 20 2013 16:09:02 on localhost [Seed = 2084430535] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m318 geometric_solution 4.51503338 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1230 0132 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 1 0 -1 0 0 -1 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 0.619485812688 0.739474193137 0 3 2 0 0132 2031 1302 3012 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 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 0.334304790903 0.794633900471 1 0 2 2 2031 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996479604734 1.032745823284 1 4 0 4 1302 0132 0132 2310 0 0 0 0 0 -1 1 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 -1 1 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 0.819426817010 0.975975575486 3 3 4 4 3201 0132 1230 3012 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 0.377604243710 0.258553140965 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : 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_4' : d['c_0110_4'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 160837642283247/9994424993398*c_0110_4^13 - 237778651390365/9994424993398*c_0110_4^12 + 1110486720424409/4997212496699*c_0110_4^11 + 2159173133465421/4997212496699*c_0110_4^10 - 203356389396206/4997212496699*c_0110_4^9 - 2705390624899488/4997212496699*c_0110_4^8 - 12889533227915779/4997212496699*c_0110_4^7 - 14568705712709399/4997212496699*c_0110_4^6 + 24997093634162885/9994424993398*c_0110_4^5 + 12561432818748705/4997212496699*c_0110_4^4 - 1409256942571443/9994424993398*c_0110_4^3 + 867683276423863/9994424993398*c_0110_4^2 - 13939325261503/9994424993398*c_0110_4 - 344543590596441/9994424993398, c_0011_0 - 1, c_0011_3 - 15731228084/35951169041*c_0110_4^13 - 25104413041/35951169041*c_0110_4^12 + 214334806303/35951169041*c_0110_4^11 + 447875741319/35951169041*c_0110_4^10 + 12121895315/35951169041*c_0110_4^9 - 532816886952/35951169041*c_0110_4^8 - 2586648268188/35951169041*c_0110_4^7 - 3148026285972/35951169041*c_0110_4^6 + 2096251067479/35951169041*c_0110_4^5 + 2753985529465/35951169041*c_0110_4^4 + 177933010814/35951169041*c_0110_4^3 + 44110096014/35951169041*c_0110_4^2 - 48125718873/35951169041*c_0110_4 - 49343371934/35951169041, c_0101_2 - 210345881685/4997212496699*c_0110_4^13 - 179262995180/4997212496699*c_0110_4^12 + 3159427587025/4997212496699*c_0110_4^11 + 3910526494830/4997212496699*c_0110_4^10 - 4815026292980/4997212496699*c_0110_4^9 - 8186664324785/4997212496699*c_0110_4^8 - 30234663554941/4997212496699*c_0110_4^7 - 16501596176960/4997212496699*c_0110_4^6 + 66600574825557/4997212496699*c_0110_4^5 + 23705960540391/4997212496699*c_0110_4^4 - 19468227448571/4997212496699*c_0110_4^3 + 1693368564392/4997212496699*c_0110_4^2 - 8202981968996/4997212496699*c_0110_4 - 3791937869756/4997212496699, c_0101_4 - 775884418130/4997212496699*c_0110_4^13 - 696103711104/4997212496699*c_0110_4^12 + 11379119120755/4997212496699*c_0110_4^11 + 14702311640262/4997212496699*c_0110_4^10 - 13987533430605/4997212496699*c_0110_4^9 - 26275785571490/4997212496699*c_0110_4^8 - 110630166735140/4997212496699*c_0110_4^7 - 67757842328148/4997212496699*c_0110_4^6 + 203565164184936/4997212496699*c_0110_4^5 + 64860657910731/4997212496699*c_0110_4^4 - 69374029875843/4997212496699*c_0110_4^3 - 2566607769901/4997212496699*c_0110_4^2 - 948158330538/4997212496699*c_0110_4 - 1421290473451/4997212496699, c_0110_4^14 + 2*c_0110_4^13 - 13*c_0110_4^12 - 34*c_0110_4^11 - 12*c_0110_4^10 + 34*c_0110_4^9 + 178*c_0110_4^8 + 266*c_0110_4^7 - 55*c_0110_4^6 - 231*c_0110_4^5 - 79*c_0110_4^4 - 6*c_0110_4^3 - 2*c_0110_4^2 + 2*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB