Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1595851646] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s340 geometric_solution 4.53961824 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.380028680076 0.785627266339 0 2 3 0 3201 0132 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 1 0 -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 0 0 0 0.583130088635 0.236422067918 3 1 4 3 2031 0132 0132 3201 0 0 0 0 0 0 -1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380028680076 0.785627266339 4 2 2 1 0132 2310 1302 0132 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 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 0.380028680076 0.785627266339 3 5 5 2 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 -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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.074068782952 0.578573208394 5 4 4 5 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 1.862719829984 0.623943309097 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_1'], 'c_0101_2' : d['c_0011_1'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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_0011_0']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 259521222441470/79541815829653*c_0110_2^17 + 9989487096284005/79541815829653*c_0110_2^15 - 18800334334812592/79541815829653*c_0110_2^13 + 16629986738879802/79541815829653*c_0110_2^11 - 23172480952525378/79541815829653*c_0110_2^9 - 5034680798737802/79541815829653*c_0110_2^7 - 62740826059541712/79541815829653*c_0110_2^5 + 67089621682559437/79541815829653*c_0110_2^3 - 15529640082336732/79541815829653*c_0110_2, c_0011_0 - 1, c_0011_1 - 41965076364/82769839573*c_0110_2^16 + 1619505106873/82769839573*c_0110_2^14 - 3199650305824/82769839573*c_0110_2^12 + 2933890872586/82769839573*c_0110_2^10 - 3917351274462/82769839573*c_0110_2^8 - 511586455399/82769839573*c_0110_2^6 - 9929758181306/82769839573*c_0110_2^4 + 11890145771325/82769839573*c_0110_2^2 - 3142607524709/82769839573, c_0011_3 - 98197231949/82769839573*c_0110_2^17 + 3790757536738/82769839573*c_0110_2^15 - 7530668533335/82769839573*c_0110_2^13 + 6914491389250/82769839573*c_0110_2^11 - 9221621089008/82769839573*c_0110_2^9 - 1111794552649/82769839573*c_0110_2^7 - 23194097636566/82769839573*c_0110_2^5 + 28280236971376/82769839573*c_0110_2^3 - 7555049747607/82769839573*c_0110_2, c_0101_0 + 41469619126/82769839573*c_0110_2^17 - 1600017499602/82769839573*c_0110_2^15 + 3147429335700/82769839573*c_0110_2^13 - 2860842341814/82769839573*c_0110_2^11 + 3837134225478/82769839573*c_0110_2^9 + 561137133947/82769839573*c_0110_2^7 + 9808819910084/82769839573*c_0110_2^5 - 11668493832939/82769839573*c_0110_2^3 + 2953664298315/82769839573*c_0110_2, c_0101_5 - 26884505943/82769839573*c_0110_2^16 + 1031563086839/82769839573*c_0110_2^14 - 1823024290359/82769839573*c_0110_2^12 + 1543026970962/82769839573*c_0110_2^10 - 2284269438740/82769839573*c_0110_2^8 - 738101114954/82769839573*c_0110_2^6 - 6649665280891/82769839573*c_0110_2^4 + 6078879472705/82769839573*c_0110_2^2 - 1193084215939/82769839573, c_0110_2^18 - 39*c_0110_2^16 + 92*c_0110_2^14 - 101*c_0110_2^12 + 122*c_0110_2^10 - 26*c_0110_2^8 + 232*c_0110_2^6 - 381*c_0110_2^4 + 192*c_0110_2^2 - 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB