Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 2176851342] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s556 geometric_solution 4.98873976 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 3201 0132 3201 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 0 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 0 0 0 0 0 0 0 0 0 0.403297798002 0.253433493450 0 3 0 3 0132 0132 2310 2310 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.777600389174 1.117049185039 4 0 5 0 0132 2310 0132 0132 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 1 0 -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 0.819101812824 0.863615691589 1 1 4 5 3201 0132 3012 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232350835114 1.109252836034 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 0 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 1.231349948108 1.119826284405 5 5 3 2 1302 2031 1230 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 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 0.507790043358 1.217708661791 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1698722192209/406493780768*c_0101_2^13 + 10190125818359/406493780768*c_0101_2^12 + 5513361776513/101623445192*c_0101_2^11 + 4231219897979/50811722596*c_0101_2^10 + 8369292266801/203246890384*c_0101_2^9 - 42840019083303/406493780768*c_0101_2^8 - 3568334164425/406493780768*c_0101_2^7 - 48779990315743/101623445192*c_0101_2^6 - 18574690360503/406493780768*c_0101_2^5 + 2268737007913/406493780768*c_0101_2^4 + 47303264091733/406493780768*c_0101_2^3 + 10184115474727/101623445192*c_0101_2^2 + 2388002594471/50811722596*c_0101_2 + 12832125587583/406493780768, c_0011_0 - 1, c_0011_2 + 400145497/50811722596*c_0101_2^13 + 2657292807/50811722596*c_0101_2^12 + 1699084330/12702930649*c_0101_2^11 + 2961532329/12702930649*c_0101_2^10 + 5725183343/25405861298*c_0101_2^9 - 318421607/50811722596*c_0101_2^8 + 5697900255/50811722596*c_0101_2^7 - 8685660315/12702930649*c_0101_2^6 - 33817509547/50811722596*c_0101_2^5 - 31337051611/50811722596*c_0101_2^4 - 19640837591/50811722596*c_0101_2^3 - 3160260901/12702930649*c_0101_2^2 - 6491991303/12702930649*c_0101_2 + 30996139575/50811722596, c_0011_5 + 12795316591/50811722596*c_0101_2^13 + 74561780245/50811722596*c_0101_2^12 + 76266814557/25405861298*c_0101_2^11 + 112168705579/25405861298*c_0101_2^10 + 20050463499/12702930649*c_0101_2^9 - 341103388671/50811722596*c_0101_2^8 + 47935887191/50811722596*c_0101_2^7 - 355918064004/12702930649*c_0101_2^6 + 123496563995/50811722596*c_0101_2^5 + 66404352407/50811722596*c_0101_2^4 + 315985266701/50811722596*c_0101_2^3 + 68095632479/25405861298*c_0101_2^2 + 18357293688/12702930649*c_0101_2 + 48809383303/50811722596, c_0101_0 + 2923053443/50811722596*c_0101_2^13 + 16162706771/50811722596*c_0101_2^12 + 8370773003/12702930649*c_0101_2^11 + 15527305379/12702930649*c_0101_2^10 + 22577777075/25405861298*c_0101_2^9 - 22038408345/50811722596*c_0101_2^8 + 52996797279/50811722596*c_0101_2^7 - 106752909148/12702930649*c_0101_2^6 + 153561575703/50811722596*c_0101_2^5 - 398815446891/50811722596*c_0101_2^4 + 164074093995/50811722596*c_0101_2^3 + 20616983241/25405861298*c_0101_2^2 + 31461599461/25405861298*c_0101_2 + 32438281647/50811722596, c_0101_1 + 1, c_0101_2^14 + 6*c_0101_2^13 + 13*c_0101_2^12 + 20*c_0101_2^11 + 10*c_0101_2^10 - 25*c_0101_2^9 - 2*c_0101_2^8 - 115*c_0101_2^7 - 11*c_0101_2^6 + 28*c_0101_2^4 + 23*c_0101_2^3 + 12*c_0101_2^2 + 7*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB