Magma V2.19-8 Tue Aug 20 2013 16:14:49 on localhost [Seed = 3633923255] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s797 geometric_solution 5.34381645 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0.319976646125 0.288910237145 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.958369057398 1.265589308684 1 4 5 3 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 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 0.731677189321 0.915200455311 2 5 4 1 3012 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 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 0.731677189321 0.915200455311 4 2 4 3 2031 0132 1302 0132 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 -1 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518479624752 0.374126196144 5 5 3 2 1302 2031 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 0.712764169057 1.195833073615 ==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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 239/34*c_0101_3^6 - 2790/17*c_0101_3^4 + 2494/17*c_0101_3^2 - 584/17, c_0011_0 - 1, c_0011_1 + 14/17*c_0101_3^6 - 328/17*c_0101_3^4 + 319/17*c_0101_3^2 - 49/17, c_0011_3 + 6/17*c_0101_3^6 - 143/17*c_0101_3^4 + 195/17*c_0101_3^2 - 55/17, c_0011_5 + 13/17*c_0101_3^6 - 307/17*c_0101_3^4 + 346/17*c_0101_3^2 - 71/17, c_0101_0 + 8/17*c_0101_3^7 - 185/17*c_0101_3^5 + 124/17*c_0101_3^3 + 23/17*c_0101_3, c_0101_3^8 - 24*c_0101_3^6 + 36*c_0101_3^4 - 16*c_0101_3^2 + 2 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 328080955345/73074479824*c_0101_3^14 + 1308501924347/73074479824*c_0101_3^12 - 33451216861375/73074479824*c_0101_3^10 + 2241529229929/73074479824*c_0101_3^8 - 61610901832605/36537239912*c_0101_3^6 + 199965077843211/36537239912*c_0101_3^4 - 166145781424913/36537239912*c_0101_3^2 + 40261210157301/36537239912, c_0011_0 - 1, c_0011_1 - 10077333/36537239912*c_0101_3^14 - 26282593/18268619956*c_0101_3^12 - 769818207/36537239912*c_0101_3^10 - 4567717739/18268619956*c_0101_3^8 - 6994342359/18268619956*c_0101_3^6 - 5203526842/4567154989*c_0101_3^4 + 25548914729/18268619956*c_0101_3^2 - 5924648883/9134309978, c_0011_3 + 239585829/73074479824*c_0101_3^14 - 387302661/73074479824*c_0101_3^12 + 22738440579/73074479824*c_0101_3^10 + 54738024641/73074479824*c_0101_3^8 + 71324644081/36537239912*c_0101_3^6 - 5246461441/36537239912*c_0101_3^4 - 70187608151/36537239912*c_0101_3^2 + 2156776525/36537239912, c_0011_5 + 266647267/73074479824*c_0101_3^14 - 1501856165/73074479824*c_0101_3^12 + 28350144661/73074479824*c_0101_3^10 - 44680397239/73074479824*c_0101_3^8 + 22557219419/36537239912*c_0101_3^6 - 267868779973/36537239912*c_0101_3^4 + 271244319139/36537239912*c_0101_3^2 - 25019627075/36537239912, c_0101_0 - 290651/73074479824*c_0101_3^15 - 1169137731/73074479824*c_0101_3^13 + 3900710595/73074479824*c_0101_3^11 - 116820752033/73074479824*c_0101_3^9 - 32807434603/36537239912*c_0101_3^7 - 239735483267/36537239912*c_0101_3^5 + 572385746133/36537239912*c_0101_3^3 - 247596678613/36537239912*c_0101_3, c_0101_3^16 - 4*c_0101_3^14 + 102*c_0101_3^12 - 8*c_0101_3^10 + 375*c_0101_3^8 - 1224*c_0101_3^6 + 1024*c_0101_3^4 - 252*c_0101_3^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB