Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 1579139730] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1601 geometric_solution 5.36478610 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 0 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 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 0.684368900169 0.477978115574 0 4 0 5 0132 0132 1230 0132 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744918130649 0.390239654724 2 0 2 5 2031 0132 1302 2103 0 0 0 0 0 1 -1 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 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 1.120947228390 0.584484309020 5 5 4 0 0132 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326116762970 0.578548478816 6 1 3 6 0132 0132 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782085250079 0.252107926361 3 3 1 2 0132 2103 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.817286499963 1.003722113938 4 6 6 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987955505578 0.382590094201 ==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_0011_0']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_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_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 470654772400753957553/148151127108523025525*c_1001_0^12 - 1697441884945531069209/148151127108523025525*c_1001_0^11 - 2175466652033167794309/148151127108523025525*c_1001_0^10 - 15683462660406138883096/148151127108523025525*c_1001_0^9 - 22503960362245958637472/29630225421704605105*c_1001_0^8 - 353148866441008905813694/148151127108523025525*c_1001_0^7 - 590886013143609001606079/148151127108523025525*c_1001_0^6 - 441373636594514249371377/148151127108523025525*c_1001_0^5 + 18799812817117440080899/29630225421704605105*c_1001_0^4 + 14054128403129236320372/5108659555466311225*c_1001_0^3 + 29737246423087737033794/29630225421704605105*c_1001_0^2 - 72389143941802161662792/148151127108523025525*c_1001_0 - 35557272034375084712887/148151127108523025525, c_0011_0 - 1, c_0011_3 + 2074817578081211/7046426973056981*c_1001_0^12 + 7325556174993174/7046426973056981*c_1001_0^11 + 9003059925620140/7046426973056981*c_1001_0^10 + 68396592724700039/7046426973056981*c_1001_0^9 + 490818433585157365/7046426973056981*c_1001_0^8 + 1518572739286784538/7046426973056981*c_1001_0^7 + 2483774637874906858/7046426973056981*c_1001_0^6 + 1744399257208045895/7046426973056981*c_1001_0^5 - 560844464946950010/7046426973056981*c_1001_0^4 - 1757757026053298550/7046426973056981*c_1001_0^3 - 522163912602954688/7046426973056981*c_1001_0^2 + 348251482066278646/7046426973056981*c_1001_0 + 125939518146997230/7046426973056981, c_0101_0 - 1042087309641551/7046426973056981*c_1001_0^12 - 3779092026943987/7046426973056981*c_1001_0^11 - 4870294277402436/7046426973056981*c_1001_0^10 - 34798135397999620/7046426973056981*c_1001_0^9 - 249895029162696590/7046426973056981*c_1001_0^8 - 786345003919073598/7046426973056981*c_1001_0^7 - 1320480431517856394/7046426973056981*c_1001_0^6 - 999519705050314472/7046426973056981*c_1001_0^5 + 180313533511764776/7046426973056981*c_1001_0^4 + 874208898995086765/7046426973056981*c_1001_0^3 + 313049210677468325/7046426973056981*c_1001_0^2 - 154498910901363529/7046426973056981*c_1001_0 - 61862742999967755/7046426973056981, c_0101_1 - 295123506/7534665781*c_1001_0^12 - 834116665/7534665781*c_1001_0^11 - 572007381/7534665781*c_1001_0^10 - 8807859782/7534665781*c_1001_0^9 - 62755532450/7534665781*c_1001_0^8 - 167324238829/7534665781*c_1001_0^7 - 203572832455/7534665781*c_1001_0^6 + 5754691674/7534665781*c_1001_0^5 + 291365787893/7534665781*c_1001_0^4 + 275466691149/7534665781*c_1001_0^3 - 27164433575/7534665781*c_1001_0^2 - 90310457740/7534665781*c_1001_0 - 14013467824/7534665781, c_0101_4 + 1356662720953819/7046426973056981*c_1001_0^12 + 4667521060938842/7046426973056981*c_1001_0^11 + 5555639299946232/7046426973056981*c_1001_0^10 + 44461369703473881/7046426973056981*c_1001_0^9 + 317109438604298304/7046426973056981*c_1001_0^8 + 967161907500344431/7046426973056981*c_1001_0^7 + 1555627716469724750/7046426973056981*c_1001_0^6 + 1050209104315282930/7046426973056981*c_1001_0^5 - 395050007169569401/7046426973056981*c_1001_0^4 - 1091388198936826026/7046426973056981*c_1001_0^3 - 280049142215591509/7046426973056981*c_1001_0^2 + 220115133147105451/7046426973056981*c_1001_0 + 72080769287135949/7046426973056981, c_0101_6 + 270018454324560/7046426973056981*c_1001_0^12 + 899642339400216/7046426973056981*c_1001_0^11 + 1113318893906397/7046426973056981*c_1001_0^10 + 9068163078263312/7046426973056981*c_1001_0^9 + 62530426172664001/7046426973056981*c_1001_0^8 + 189284222904365182/7046426973056981*c_1001_0^7 + 313144404559410626/7046426973056981*c_1001_0^6 + 246236693578180732/7046426973056981*c_1001_0^5 + 12462103065917690/7046426973056981*c_1001_0^4 - 120752000399428236/7046426973056981*c_1001_0^3 - 29779049759590612/7046426973056981*c_1001_0^2 + 2430338843723683/7046426973056981*c_1001_0 - 7372623842995397/7046426973056981, c_1001_0^13 + 4*c_1001_0^12 + 6*c_1001_0^11 + 35*c_1001_0^10 + 252*c_1001_0^9 + 843*c_1001_0^8 + 1541*c_1001_0^7 + 1402*c_1001_0^6 + 119*c_1001_0^5 - 986*c_1001_0^4 - 661*c_1001_0^3 + 49*c_1001_0^2 + 143*c_1001_0 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB