Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 1696921616] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3198 geometric_solution 6.34557931 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609885980477 0.559511743239 0 4 0 5 0132 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109674089324 0.816788413374 6 3 3 0 0132 3012 1230 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 -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 0.823460520933 0.728666107704 2 6 0 2 1230 0132 0132 3012 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823460520933 0.728666107704 5 1 5 6 3201 0132 2310 2103 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.314059857332 1.296281007726 6 4 1 4 2103 3201 0132 2310 0 0 0 0 0 -1 0 1 -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 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 0.314059857332 1.296281007726 2 3 5 4 0132 0132 2103 2103 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 0 0 1 -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 1.580931728503 0.813129111913 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['c_0101_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_5, c_0101_0, c_0101_1, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 41184802501831/788662859678*c_1001_1^13 + 46658722348123/394331429839*c_1001_1^12 + 925453017416469/5520640017746*c_1001_1^11 - 2659673654010721/5520640017746*c_1001_1^10 - 669368213372022/2760320008873*c_1001_1^9 + 195842785570371/290560000934*c_1001_1^8 + 1345143760811213/2760320008873*c_1001_1^7 - 1830466531576313/5520640017746*c_1001_1^6 - 4116123992936243/5520640017746*c_1001_1^5 - 191646221587857/788662859678*c_1001_1^4 + 2915674599046499/5520640017746*c_1001_1^3 + 936875804518385/2760320008873*c_1001_1^2 - 109990308678077/788662859678*c_1001_1 - 634373562640007/5520640017746, c_0011_0 - 1, c_0011_2 + 12403400415/20754285781*c_1001_1^13 - 44305072721/20754285781*c_1001_1^12 + 7033240833/20754285781*c_1001_1^11 + 140532128960/20754285781*c_1001_1^10 - 121655750891/20754285781*c_1001_1^9 - 127293888710/20754285781*c_1001_1^8 + 118233668652/20754285781*c_1001_1^7 + 74206436314/20754285781*c_1001_1^6 + 33783364892/20754285781*c_1001_1^5 - 97744546994/20754285781*c_1001_1^4 - 101806459821/20754285781*c_1001_1^3 + 107863836476/20754285781*c_1001_1^2 + 38040301638/20754285781*c_1001_1 - 31320634679/20754285781, c_0011_5 + 81986944704/20754285781*c_1001_1^13 - 216491779385/20754285781*c_1001_1^12 - 181823831145/20754285781*c_1001_1^11 + 820040364286/20754285781*c_1001_1^10 + 65330528992/20754285781*c_1001_1^9 - 1031423906775/20754285781*c_1001_1^8 - 380051775374/20754285781*c_1001_1^7 + 537242157418/20754285781*c_1001_1^6 + 994355141455/20754285781*c_1001_1^5 + 112320269274/20754285781*c_1001_1^4 - 811383746927/20754285781*c_1001_1^3 - 260037993579/20754285781*c_1001_1^2 + 217792286013/20754285781*c_1001_1 + 91688951667/20754285781, c_0101_0 - c_1001_1, c_0101_1 + 39202433795/20754285781*c_1001_1^13 - 70053489590/20754285781*c_1001_1^12 - 186575409996/20754285781*c_1001_1^11 + 362496676229/20754285781*c_1001_1^10 + 359312492695/20754285781*c_1001_1^9 - 613972713293/20754285781*c_1001_1^8 - 511518955717/20754285781*c_1001_1^7 + 265684386958/20754285781*c_1001_1^6 + 668352836021/20754285781*c_1001_1^5 + 324957719752/20754285781*c_1001_1^4 - 492784263346/20754285781*c_1001_1^3 - 377243698408/20754285781*c_1001_1^2 + 141221330462/20754285781*c_1001_1 + 113965077749/20754285781, c_0101_4 + 14648704532/20754285781*c_1001_1^13 + 4669737135/20754285781*c_1001_1^12 - 157135397731/20754285781*c_1001_1^11 + 88027872686/20754285781*c_1001_1^10 + 440333959382/20754285781*c_1001_1^9 - 272957622239/20754285781*c_1001_1^8 - 529251717789/20754285781*c_1001_1^7 + 36589898576/20754285781*c_1001_1^6 + 414752866079/20754285781*c_1001_1^5 + 403310726316/20754285781*c_1001_1^4 - 172329067265/20754285781*c_1001_1^3 - 362308071248/20754285781*c_1001_1^2 + 29408376996/20754285781*c_1001_1 + 95237790135/20754285781, c_1001_1^14 - 3*c_1001_1^13 - 12/7*c_1001_1^12 + 85/7*c_1001_1^11 - 15/7*c_1001_1^10 - 18*c_1001_1^9 + 8/7*c_1001_1^8 + 103/7*c_1001_1^7 + 66/7*c_1001_1^6 - 7*c_1001_1^5 - 104/7*c_1001_1^4 + 12/7*c_1001_1^3 + 61/7*c_1001_1^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB