Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 189437805] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s735 geometric_solution 5.25084484 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 0 -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 1.805410986096 0.520462733092 0 2 3 0 0132 0132 0132 3201 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 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 0.570823309254 0.769152833530 4 1 5 3 0132 0132 0132 3201 0 0 0 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 1 -1 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 0.144132902773 0.796587594086 5 2 4 1 1023 2310 2310 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 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 0.144132902773 0.796587594086 2 3 4 4 0132 3201 1230 3012 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 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 0.190204100134 0.864553700695 5 3 5 2 2031 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 -1 1 1 0 -1 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 0.638146410246 1.265284907123 ==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_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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_3'], 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 28431591904/15083051*c_0101_4^16 - 22708633504/15083051*c_0101_4^15 - 38862596544/15083051*c_0101_4^14 + 2865727296/15083051*c_0101_4^13 - 23385499960/15083051*c_0101_4^12 + 11206591056/15083051*c_0101_4^11 - 46308658638/15083051*c_0101_4^10 - 37796644418/15083051*c_0101_4^9 + 40915196436/15083051*c_0101_4^8 + 95348021934/15083051*c_0101_4^7 + 147099874199/15083051*c_0101_4^6 + 105923311905/15083051*c_0101_4^5 + 62939635410/15083051*c_0101_4^4 + 21513580584/15083051*c_0101_4^3 - 121070183/15083051*c_0101_4^2 + 916967109/15083051*c_0101_4 - 2077989662/15083051, c_0011_0 - 1, c_0011_3 + 32147913776/15083051*c_0101_4^16 - 26436272544/15083051*c_0101_4^15 - 42531103744/15083051*c_0101_4^14 + 2789409440/15083051*c_0101_4^13 - 26455655156/15083051*c_0101_4^12 + 13777830396/15083051*c_0101_4^11 - 53491463215/15083051*c_0101_4^10 - 40423910352/15083051*c_0101_4^9 + 45253177400/15083051*c_0101_4^8 + 107460637819/15083051*c_0101_4^7 + 164891089887/15083051*c_0101_4^6 + 117651966089/15083051*c_0101_4^5 + 69999047377/15083051*c_0101_4^4 + 22717282604/15083051*c_0101_4^3 - 674977891/15083051*c_0101_4^2 + 517731555/15083051*c_0101_4 - 2444762709/15083051, c_0101_0 - 776766496/15083051*c_0101_4^16 + 997883472/15083051*c_0101_4^15 + 502826000/15083051*c_0101_4^14 - 246479424/15083051*c_0101_4^13 + 773803128/15083051*c_0101_4^12 - 574689860/15083051*c_0101_4^11 + 1593993818/15083051*c_0101_4^10 + 165660535/15083051*c_0101_4^9 - 995752075/15083051*c_0101_4^8 - 2132977100/15083051*c_0101_4^7 - 2925464871/15083051*c_0101_4^6 - 1776463116/15083051*c_0101_4^5 - 1276454488/15083051*c_0101_4^4 - 311858845/15083051*c_0101_4^3 - 63208483/15083051*c_0101_4^2 - 17344332/15083051*c_0101_4 + 47590882/15083051, c_0101_1 + 20998511984/15083051*c_0101_4^16 - 17333385968/15083051*c_0101_4^15 - 27687389632/15083051*c_0101_4^14 + 1870088528/15083051*c_0101_4^13 - 17302969348/15083051*c_0101_4^12 + 9019011816/15083051*c_0101_4^11 - 35019037647/15083051*c_0101_4^10 - 26246048539/15083051*c_0101_4^9 + 29553980998/15083051*c_0101_4^8 + 70072699192/15083051*c_0101_4^7 + 107489936484/15083051*c_0101_4^6 + 76650710217/15083051*c_0101_4^5 + 45703876640/15083051*c_0101_4^4 + 14893183551/15083051*c_0101_4^3 - 358933686/15083051*c_0101_4^2 + 367468302/15083051*c_0101_4 - 1593653073/15083051, c_0101_2 - 75806240/63109*c_0101_4^16 + 61985472/63109*c_0101_4^15 + 100873408/63109*c_0101_4^14 - 6463648/63109*c_0101_4^13 + 62023400/63109*c_0101_4^12 - 32040136/63109*c_0101_4^11 + 125936442/63109*c_0101_4^10 + 95993816/63109*c_0101_4^9 - 106855672/63109*c_0101_4^8 - 253962504/63109*c_0101_4^7 - 389495929/63109*c_0101_4^6 - 278235570/63109*c_0101_4^5 - 165520762/63109*c_0101_4^4 - 53967688/63109*c_0101_4^3 + 1487383/63109*c_0101_4^2 - 1286651/63109*c_0101_4 + 5727369/63109, c_0101_4^17 - 2*c_0101_4^15 - c_0101_4^14 - 3/4*c_0101_4^13 - 1/4*c_0101_4^12 - 21/16*c_0101_4^11 - 21/8*c_0101_4^10 + 3/8*c_0101_4^9 + 9/2*c_0101_4^8 + 63/8*c_0101_4^7 + 63/8*c_0101_4^6 + 83/16*c_0101_4^5 + 5/2*c_0101_4^4 + 9/16*c_0101_4^3 - 1/16*c_0101_4 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB