Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 3280101343] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s678 geometric_solution 5.17702347 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284692909321 0.718540322684 3 2 4 0 0132 3012 0132 0132 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 0 0 0 -1 0 1 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 0.786315235353 1.133302842106 1 3 0 4 1230 0132 0132 2310 0 0 0 0 0 -1 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 0 1 0 -1 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 0.786315235353 1.133302842106 1 2 3 3 0132 0132 2031 1302 0 0 0 0 0 1 -1 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 -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 0 0 0 0 0.654205795706 0.744613253555 2 5 5 1 3201 0132 3201 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 1 0 0 -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 0.090090126048 0.537688409647 4 4 5 5 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.147936294103 0.787947847838 ==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_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' : 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' : 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_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1991600454149/23710458815*c_0101_5^15 - 646041834795/4742091763*c_0101_5^14 + 3216030908569/23710458815*c_0101_5^13 - 1532060792661/1247918885*c_0101_5^12 - 10549849750118/4742091763*c_0101_5^11 + 3988569820893/1247918885*c_0101_5^10 + 4592129646901/4742091763*c_0101_5^9 - 224191763729372/23710458815*c_0101_5^8 - 3238715811859/4742091763*c_0101_5^7 + 51042894709084/4742091763*c_0101_5^6 + 3636756782524/23710458815*c_0101_5^5 - 170605265124828/23710458815*c_0101_5^4 - 3868350449489/23710458815*c_0101_5^3 + 2689868283442/1247918885*c_0101_5^2 - 421175584804/4742091763*c_0101_5 - 5085425220812/23710458815, c_0011_0 - 1, c_0011_1 + 593916388/4742091763*c_0101_5^15 + 1193406181/4742091763*c_0101_5^14 - 1132798244/4742091763*c_0101_5^13 + 404102700/249583777*c_0101_5^12 + 20151457502/4742091763*c_0101_5^11 - 1317331290/249583777*c_0101_5^10 - 25916213272/4742091763*c_0101_5^9 + 87646925115/4742091763*c_0101_5^8 + 25590567561/4742091763*c_0101_5^7 - 129028519732/4742091763*c_0101_5^6 - 16689576237/4742091763*c_0101_5^5 + 107606303043/4742091763*c_0101_5^4 + 3361811416/4742091763*c_0101_5^3 - 2854204286/249583777*c_0101_5^2 + 590409052/4742091763*c_0101_5 + 9877471610/4742091763, c_0011_4 - 4287512787/4742091763*c_0101_5^15 - 5758599465/4742091763*c_0101_5^14 + 8772636125/4742091763*c_0101_5^13 - 3372074090/249583777*c_0101_5^12 - 95358589709/4742091763*c_0101_5^11 + 10117422564/249583777*c_0101_5^10 + 12733661113/4742091763*c_0101_5^9 - 483895454738/4742091763*c_0101_5^8 + 72605504724/4742091763*c_0101_5^7 + 568735242015/4742091763*c_0101_5^6 - 92783188971/4742091763*c_0101_5^5 - 387223450593/4742091763*c_0101_5^4 + 54651735849/4742091763*c_0101_5^3 + 6949257870/249583777*c_0101_5^2 - 12503503306/4742091763*c_0101_5 - 17278156600/4742091763, c_0101_0 - 7723761236/4742091763*c_0101_5^15 - 13408751585/4742091763*c_0101_5^14 + 10924414272/4742091763*c_0101_5^13 - 5921410663/249583777*c_0101_5^12 - 218379975431/4742091763*c_0101_5^11 + 14209557612/249583777*c_0101_5^10 + 106052412344/4742091763*c_0101_5^9 - 872265263267/4742091763*c_0101_5^8 - 131709806613/4742091763*c_0101_5^7 + 960078970427/4742091763*c_0101_5^6 + 54739550493/4742091763*c_0101_5^5 - 635483253206/4742091763*c_0101_5^4 - 31395891687/4742091763*c_0101_5^3 + 9601720356/249583777*c_0101_5^2 - 10763139886/4742091763*c_0101_5 - 19388777104/4742091763, c_0101_1 + 579905694/4742091763*c_0101_5^15 + 310588101/4742091763*c_0101_5^14 - 1704019979/4742091763*c_0101_5^13 + 516703840/249583777*c_0101_5^12 + 5600714343/4742091763*c_0101_5^11 - 1828487618/249583777*c_0101_5^10 + 22701053981/4742091763*c_0101_5^9 + 60442742856/4742091763*c_0101_5^8 - 62943825832/4742091763*c_0101_5^7 - 50656688304/4742091763*c_0101_5^6 + 68422865881/4742091763*c_0101_5^5 + 28345523772/4742091763*c_0101_5^4 - 40587824287/4742091763*c_0101_5^3 + 81596239/249583777*c_0101_5^2 + 14805578376/4742091763*c_0101_5 + 255306899/4742091763, c_0101_5^16 + 2*c_0101_5^15 - c_0101_5^14 + 14*c_0101_5^13 + 32*c_0101_5^12 - 28*c_0101_5^11 - 26*c_0101_5^10 + 108*c_0101_5^9 + 51*c_0101_5^8 - 125*c_0101_5^7 - 51*c_0101_5^6 + 85*c_0101_5^5 + 35*c_0101_5^4 - 25*c_0101_5^3 - 9*c_0101_5^2 + 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB