Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1882319953] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s337 geometric_solution 4.53087234 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 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 1.669007856131 0.280407763570 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -1 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 1 -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 1.170791188163 0.696084722407 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 0 1 -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 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 0.333783384998 0.284200575610 2 5 4 4 0132 0132 1302 3201 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 -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 0.248985384209 0.841275709691 3 3 2 5 2031 2310 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248985384209 0.841275709691 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.039023283860 1.885624678836 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), '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' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_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_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 6613563731378/479029897123*c_0101_5^15 + 6922836361140/479029897123*c_0101_5^14 + 114058179503835/958059794246*c_0101_5^13 - 661702498543943/958059794246*c_0101_5^12 - 145021718560575/479029897123*c_0101_5^11 + 5190165885315189/958059794246*c_0101_5^10 + 1485713205677100/479029897123*c_0101_5^9 - 10516534348798545/958059794246*c_0101_5^8 - 2715121012120995/479029897123*c_0101_5^7 + 4758981456647077/479029897123*c_0101_5^6 + 3345246181257661/958059794246*c_0101_5^5 - 2137478751554772/479029897123*c_0101_5^4 - 559004724673947/958059794246*c_0101_5^3 + 927344275313707/958059794246*c_0101_5^2 - 58443860285761/958059794246*c_0101_5 - 89671250637887/958059794246, c_0011_0 - 1, c_0011_1 + 700034365501/958059794246*c_0101_5^15 - 616214570186/479029897123*c_0101_5^14 - 4952728008779/958059794246*c_0101_5^13 + 19130497749789/479029897123*c_0101_5^12 - 6741238077076/479029897123*c_0101_5^11 - 127218511415334/479029897123*c_0101_5^10 + 11866954431199/479029897123*c_0101_5^9 + 466152306817669/958059794246*c_0101_5^8 - 31490511374344/479029897123*c_0101_5^7 - 166709536524176/479029897123*c_0101_5^6 + 88313736290763/958059794246*c_0101_5^5 + 42663820566756/479029897123*c_0101_5^4 - 37257651993109/958059794246*c_0101_5^3 - 3783867166798/479029897123*c_0101_5^2 + 2740857722653/479029897123*c_0101_5 + 341750200393/958059794246, c_0011_4 - 379830051151/479029897123*c_0101_5^15 + 1249827765053/958059794246*c_0101_5^14 + 5449222923071/958059794246*c_0101_5^13 - 20398229795551/479029897123*c_0101_5^12 + 5235353472603/479029897123*c_0101_5^11 + 136833797915679/479029897123*c_0101_5^10 + 2849438056824/479029897123*c_0101_5^9 - 239498377403173/479029897123*c_0101_5^8 + 18480132930279/958059794246*c_0101_5^7 + 316631841511611/958059794246*c_0101_5^6 - 59096443995135/958059794246*c_0101_5^5 - 32252936903554/479029897123*c_0101_5^4 + 10775969799788/479029897123*c_0101_5^3 + 1289010732287/958059794246*c_0101_5^2 - 1097151159475/958059794246*c_0101_5 + 238362760441/958059794246, c_0101_0 + 385064545463/479029897123*c_0101_5^15 - 390560302436/479029897123*c_0101_5^14 - 6261745043389/958059794246*c_0101_5^13 + 37840138990815/958059794246*c_0101_5^12 + 15051810839199/958059794246*c_0101_5^11 - 281427697150197/958059794246*c_0101_5^10 - 178953416366819/958059794246*c_0101_5^9 + 464895775860711/958059794246*c_0101_5^8 + 264456524924419/958059794246*c_0101_5^7 - 168903912213838/479029897123*c_0101_5^6 - 65578617437014/479029897123*c_0101_5^5 + 127147669577943/958059794246*c_0101_5^4 + 12358473634647/479029897123*c_0101_5^3 - 27504968543141/958059794246*c_0101_5^2 - 339893588283/958059794246*c_0101_5 + 1097252605107/479029897123, c_0101_2 + 294754647242/479029897123*c_0101_5^15 - 425770578963/958059794246*c_0101_5^14 - 2671350893435/479029897123*c_0101_5^13 + 28133066734341/958059794246*c_0101_5^12 + 22657637748443/958059794246*c_0101_5^11 - 231726790719407/958059794246*c_0101_5^10 - 196733787588693/958059794246*c_0101_5^9 + 447028670344397/958059794246*c_0101_5^8 + 163304461411790/479029897123*c_0101_5^7 - 405869860168251/958059794246*c_0101_5^6 - 180839700515137/958059794246*c_0101_5^5 + 193996950283013/958059794246*c_0101_5^4 + 11140586396049/479029897123*c_0101_5^3 - 20108061853342/479029897123*c_0101_5^2 + 1498674796096/479029897123*c_0101_5 + 2349758593053/958059794246, c_0101_5^16 - 2*c_0101_5^15 - 7*c_0101_5^14 + 57*c_0101_5^13 - 30*c_0101_5^12 - 378*c_0101_5^11 + 130*c_0101_5^10 + 781*c_0101_5^9 - 274*c_0101_5^8 - 672*c_0101_5^7 + 290*c_0101_5^6 + 232*c_0101_5^5 - 130*c_0101_5^4 - 23*c_0101_5^3 + 23*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB