Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 1916006261] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3484 geometric_solution 6.72341766 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277950501895 0.552348670712 0 4 0 2 0132 0132 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273038453289 1.444632196189 4 3 1 0 0213 3012 2031 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726058459866 1.188298187939 2 5 0 6 1230 0132 0132 0132 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 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 0.470308118181 0.959517209458 2 1 6 5 0213 0132 1230 1230 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 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 0.440951765525 0.798767778183 4 3 5 5 3012 0132 2031 1302 0 0 0 0 0 1 -1 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 -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 0.344687690282 0.878620637985 6 6 3 4 1230 3012 0132 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 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.120219970220 1.204377409892 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_1001_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 34899437284/56951707257*c_1001_4^18 + 126739503286/18983902419*c_1001_4^17 - 1512506883103/56951707257*c_1001_4^16 + 2015957152112/56951707257*c_1001_4^15 + 2621324006275/56951707257*c_1001_4^14 - 9100458985448/56951707257*c_1001_4^13 - 105608703035/56951707257*c_1001_4^12 + 18531656430730/56951707257*c_1001_4^11 - 4511882826962/56951707257*c_1001_4^10 - 24568986860279/56951707257*c_1001_4^9 + 1556321161003/18983902419*c_1001_4^8 + 22587476935991/56951707257*c_1001_4^7 + 440970087544/56951707257*c_1001_4^6 - 12861455506214/56951707257*c_1001_4^5 - 3659301808802/56951707257*c_1001_4^4 + 2974037555546/56951707257*c_1001_4^3 + 2091073962113/56951707257*c_1001_4^2 + 215329946761/56951707257*c_1001_4 - 23278532348/56951707257, c_0011_0 - 1, c_0011_2 - 1623055122/703107497*c_1001_4^18 + 17604243729/703107497*c_1001_4^17 - 68952728413/703107497*c_1001_4^16 + 84371501042/703107497*c_1001_4^15 + 152235179792/703107497*c_1001_4^14 - 464151648913/703107497*c_1001_4^13 - 23244720397/703107497*c_1001_4^12 + 975806422635/703107497*c_1001_4^11 - 273250203725/703107497*c_1001_4^10 - 1262842720647/703107497*c_1001_4^9 + 344092520558/703107497*c_1001_4^8 + 1095628162022/703107497*c_1001_4^7 - 70020432785/703107497*c_1001_4^6 - 593148047936/703107497*c_1001_4^5 - 118057264770/703107497*c_1001_4^4 + 116967707215/703107497*c_1001_4^3 + 61420643651/703107497*c_1001_4^2 + 21788681559/703107497*c_1001_4 + 12608771001/703107497, c_0011_3 - 277461802/703107497*c_1001_4^18 + 2732729662/703107497*c_1001_4^17 - 9147915230/703107497*c_1001_4^16 + 6159871879/703107497*c_1001_4^15 + 29268338631/703107497*c_1001_4^14 - 48531776432/703107497*c_1001_4^13 - 40804085600/703107497*c_1001_4^12 + 106166708644/703107497*c_1001_4^11 + 44071053824/703107497*c_1001_4^10 - 121920573470/703107497*c_1001_4^9 - 54729719128/703107497*c_1001_4^8 + 68232476082/703107497*c_1001_4^7 + 50693991463/703107497*c_1001_4^6 - 2921523312/703107497*c_1001_4^5 - 13805337520/703107497*c_1001_4^4 - 11460956799/703107497*c_1001_4^3 - 6499881906/703107497*c_1001_4^2 - 1046271464/703107497*c_1001_4 + 103830667/703107497, c_0011_6 - 901662880/703107497*c_1001_4^18 + 10007435062/703107497*c_1001_4^17 - 40438908143/703107497*c_1001_4^16 + 53424977679/703107497*c_1001_4^15 + 81940376835/703107497*c_1001_4^14 - 280310981277/703107497*c_1001_4^13 + 11593337502/703107497*c_1001_4^12 + 587006502823/703107497*c_1001_4^11 - 206401078400/703107497*c_1001_4^10 - 776054408004/703107497*c_1001_4^9 + 252300344140/703107497*c_1001_4^8 + 702995947089/703107497*c_1001_4^7 - 64233424292/703107497*c_1001_4^6 - 401389221671/703107497*c_1001_4^5 - 76480747999/703107497*c_1001_4^4 + 84904620617/703107497*c_1001_4^3 + 44640795493/703107497*c_1001_4^2 + 14318699331/703107497*c_1001_4 + 8319448383/703107497, c_0101_1 - 1, c_0101_5 - 637533598/703107497*c_1001_4^18 + 7036876012/703107497*c_1001_4^17 - 28211287755/703107497*c_1001_4^16 + 36504319507/703107497*c_1001_4^15 + 58921120354/703107497*c_1001_4^14 - 195338811850/703107497*c_1001_4^13 + 4985254265/703107497*c_1001_4^12 + 408084548038/703107497*c_1001_4^11 - 142632791066/703107497*c_1001_4^10 - 529012750632/703107497*c_1001_4^9 + 178625769410/703107497*c_1001_4^8 + 461713423731/703107497*c_1001_4^7 - 54222187832/703107497*c_1001_4^6 - 249869517396/703107497*c_1001_4^5 - 39462829854/703107497*c_1001_4^4 + 47380773868/703107497*c_1001_4^3 + 23083027918/703107497*c_1001_4^2 + 9538353128/703107497*c_1001_4 + 5344645147/703107497, c_1001_4^19 - 12*c_1001_4^18 + 55*c_1001_4^17 - 101*c_1001_4^16 - 34*c_1001_4^15 + 395*c_1001_4^14 - 316*c_1001_4^13 - 622*c_1001_4^12 + 869*c_1001_4^11 + 590*c_1001_4^10 - 1128*c_1001_4^9 - 434*c_1001_4^8 + 845*c_1001_4^7 + 317*c_1001_4^6 - 364*c_1001_4^5 - 158*c_1001_4^4 + 49*c_1001_4^3 + 32*c_1001_4^2 + 8*c_1001_4 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB