Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 223121466] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2649 geometric_solution 5.92025255 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 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 0.518197897865 0.269934692092 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 0 1 -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 0.963913086994 0.520749534185 1 4 4 5 0132 0132 2031 0132 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927142434156 0.859646767881 5 4 5 1 0321 0213 0213 0132 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 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 0.600587170879 0.558704105647 6 2 3 2 0132 0132 0213 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 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 0.684385172861 0.406620724217 3 3 2 6 0321 0213 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298678466162 0.415124440260 4 6 5 6 0132 1302 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.736449779631 0.487558784933 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['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_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(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' : d['c_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 7886419587231934616611146648/10244615431088250142256975*c_1001_3^19 - 171211215152776966137908457184/10244615431088250142256975*c_1001_\ 3^17 + 1079029655615038649196180663219/10244615431088250142256975*c\ _1001_3^15 - 1327519316345416319093383494263/2048923086217650028451\ 395*c_1001_3^13 + 25786632489899339246081040834768/1024461543108825\ 0142256975*c_1001_3^11 - 3135104829620383824879641691781/6026244371\ 22838243662175*c_1001_3^9 + 2590402992625011575522809748301/4097846\ 17243530005690279*c_1001_3^7 - 38523547339409539811018999356382/102\ 44615431088250142256975*c_1001_3^5 + 10203011385711911838898883526517/10244615431088250142256975*c_1001_\ 3^3 - 982477475390835039289106581706/10244615431088250142256975*c_1\ 001_3, c_0011_0 - 1, c_0011_1 - 57316894882929366016/1417939852053737043911*c_1001_3^18 + 1222341074472070032560/1417939852053737043911*c_1001_3^16 - 670124208407649239376/128903622913976094901*c_1001_3^14 + 45372159133328400897166/1417939852053737043911*c_1001_3^12 - 169754297910611709890436/1417939852053737043911*c_1001_3^10 + 320650610751543386856165/1417939852053737043911*c_1001_3^8 - 31060544987592125649790/128903622913976094901*c_1001_3^6 + 136402598972195410343520/1417939852053737043911*c_1001_3^4 - 635001461119282915854/128903622913976094901*c_1001_3^2 - 2241917242723145258221/1417939852053737043911, c_0011_3 - 16484818361511343016224/24104977484913529746487*c_1001_3^19 + 358824607703850129737560/24104977484913529746487*c_1001_3^17 - 206880711055098961344060/2191361589537593613317*c_1001_3^15 + 13997152936590707160743687/24104977484913529746487*c_1001_3^13 - 54656497116719631641398285/24104977484913529746487*c_1001_3^11 + 6720442584203480354440791/1417939852053737043911*c_1001_3^9 - 12801408069326413611427738/2191361589537593613317*c_1001_3^7 + 86466175434746674231732379/24104977484913529746487*c_1001_3^5 - 2177036519986277305634298/2191361589537593613317*c_1001_3^3 + 2395529087317195231975737/24104977484913529746487*c_1001_3, c_0011_5 + 296522757886834575928/1417939852053737043911*c_1001_3^18 - 6399942710476431099008/1417939852053737043911*c_1001_3^16 + 39769401288879537648543/1417939852053737043911*c_1001_3^14 - 244696132076713841912259/1417939852053737043911*c_1001_3^12 + 939530873044707006490831/1417939852053737043911*c_1001_3^10 - 1890702406824597020364663/1417939852053737043911*c_1001_3^8 + 2216030348156095538210677/1417939852053737043911*c_1001_3^6 - 1203993704050391308222038/1417939852053737043911*c_1001_3^4 + 267959848606738857225733/1417939852053737043911*c_1001_3^2 - 18783418070652108300320/1417939852053737043911, c_0101_0 - 40888740980789164404488/24104977484913529746487*c_1001_3^19 + 887226498211037731770152/24104977484913529746487*c_1001_3^17 - 5584729620433613007027977/24104977484913529746487*c_1001_3^15 + 34354372922719863759579330/24104977484913529746487*c_1001_3^13 - 133329087915885503146089066/24104977484913529746487*c_1001_3^11 + 16172650315913201507274774/1417939852053737043911*c_1001_3^9 - 333027903688752761137672574/24104977484913529746487*c_1001_3^7 + 196638049351873807384747248/24104977484913529746487*c_1001_3^5 - 51379659365599637904634581/24104977484913529746487*c_1001_3^3 + 4823010679765671328483998/24104977484913529746487*c_1001_3, c_0101_6 - 914886972977074712104/1417939852053737043911*c_1001_3^18 + 19860632947378919650952/1417939852053737043911*c_1001_3^16 - 125150295115919921571501/1417939852053737043911*c_1001_3^14 + 769864909206687556476538/1417939852053737043911*c_1001_3^12 - 2990543738597936189874926/1417939852053737043911*c_1001_3^10 + 6179561176696324218697921/1417939852053737043911*c_1001_3^8 - 7507198896591244329703337/1417939852053737043911*c_1001_3^6 + 4464406041869892310589742/1417939852053737043911*c_1001_3^4 - 1182945927557120706676746/1417939852053737043911*c_1001_3^2 + 113419073902497325700010/1417939852053737043911, c_1001_3^20 - 22*c_1001_3^18 + 1145/8*c_1001_3^16 - 7051/8*c_1001_3^14 + 28113/8*c_1001_3^12 - 61659/8*c_1001_3^10 + 20347/2*c_1001_3^8 - 58147/8*c_1001_3^6 + 10845/4*c_1001_3^4 - 3999/8*c_1001_3^2 + 289/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB