Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 1494796243] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m395 geometric_solution 4.91083304 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512925802678 1.247375854588 0 2 4 3 0132 3201 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 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 0.178131718202 0.839301291959 3 4 1 0 1023 3201 2310 0132 0 0 0 0 0 1 0 -1 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 0 0 0 1 0 0 -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 0.178131718202 0.839301291959 3 2 1 3 3201 1023 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 -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 0.483676300197 1.072201555606 4 4 2 1 1230 3012 2310 0132 0 0 0 0 0 -1 1 0 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 0.294815388914 0.936511066193 ==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_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_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_4, c_0101_0, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 92374/3845*c_0101_2^11 - 70166/3845*c_0101_2^10 - 1037371/3845*c_0101_2^9 - 805586/3845*c_0101_2^8 + 396272/769*c_0101_2^7 + 1586824/3845*c_0101_2^6 - 925168/3845*c_0101_2^5 - 1069708/3845*c_0101_2^4 - 760516/3845*c_0101_2^3 + 658259/3845*c_0101_2^2 + 589754/3845*c_0101_2 - 301907/3845, c_0011_0 - 1, c_0011_2 + 4667/769*c_0101_2^11 - 2257/769*c_0101_2^10 - 52270/769*c_0101_2^9 - 55266/769*c_0101_2^8 + 76431/769*c_0101_2^7 + 89572/769*c_0101_2^6 - 14899/769*c_0101_2^5 - 42974/769*c_0101_2^4 - 46085/769*c_0101_2^3 + 16138/769*c_0101_2^2 + 25379/769*c_0101_2 - 8546/769, c_0011_4 - 6012/769*c_0101_2^11 + 2323/769*c_0101_2^10 + 67556/769*c_0101_2^9 + 77271/769*c_0101_2^8 - 90646/769*c_0101_2^7 - 119108/769*c_0101_2^6 + 13473/769*c_0101_2^5 + 52936/769*c_0101_2^4 + 59692/769*c_0101_2^3 - 17629/769*c_0101_2^2 - 33497/769*c_0101_2 + 11015/769, c_0101_0 - 2534/769*c_0101_2^11 + 1556/769*c_0101_2^10 + 28707/769*c_0101_2^9 + 26275/769*c_0101_2^8 - 50646/769*c_0101_2^7 - 51329/769*c_0101_2^6 + 16599/769*c_0101_2^5 + 30331/769*c_0101_2^4 + 26012/769*c_0101_2^3 - 13200/769*c_0101_2^2 - 16825/769*c_0101_2 + 6336/769, c_0101_2^12 - c_0101_2^11 - 11*c_0101_2^10 - 6*c_0101_2^9 + 23*c_0101_2^8 + 11*c_0101_2^7 - 14*c_0101_2^6 - 8*c_0101_2^5 - 5*c_0101_2^4 + 9*c_0101_2^3 + 4*c_0101_2^2 - 5*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB