Magma V2.19-8 Wed Aug 21 2013 00:54:50 on localhost [Seed = 4256950203] Type ? for help. Type -D to quit. Loading file "L12n658__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n658 geometric_solution 12.10306384 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 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 0 0 0 0 1 -8 7 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 0.625862530817 0.492253365028 0 4 6 5 0132 0132 0132 0132 1 1 0 1 0 1 0 -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 -8 0 8 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 1.405646027766 0.759361437543 0 0 5 7 2031 0132 2031 0132 1 1 0 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 0 0 0 -1 0 1 8 0 -8 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 0.012862034310 0.776403701183 6 8 0 9 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 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 0.815352216707 1.188150868003 5 1 10 9 0213 0132 0132 1230 1 1 1 0 0 -1 0 1 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 8 0 -8 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 0.687363472128 0.721239774730 4 11 1 2 0213 0132 0132 1302 1 1 1 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 -8 8 -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 0.731144589948 0.814525363996 3 12 12 1 0132 0132 1023 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 7 -7 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 0.299564608103 0.652725616569 11 10 2 8 0132 3012 0132 3120 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 0 0 0 0 0 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 -0.065891516791 1.108848917578 7 3 11 9 3120 0132 1023 2031 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 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 0.210829669565 0.941836164757 4 8 3 12 3012 1302 0132 1023 1 1 1 1 0 0 1 -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 -7 7 8 0 0 -8 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755687609495 0.507870915986 7 11 12 4 1230 0321 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719995981223 0.554985352205 7 5 8 10 0132 0132 1023 0321 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 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 0.279591243425 0.903234568471 10 6 6 9 2031 0132 1023 1023 1 1 1 1 0 1 0 -1 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 -7 -1 8 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584434733502 0.758080296426 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0110_12'], 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : d['c_0011_9'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_0110_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3087743891841585139/22898070580616*c_1001_4^13 + 3928738273211657761/22898070580616*c_1001_4^12 + 14141766753811892205/22898070580616*c_1001_4^11 + 9954382034645684465/22898070580616*c_1001_4^10 + 34246454800362441683/11449035290308*c_1001_4^9 - 67309959870612941241/22898070580616*c_1001_4^8 + 139983046685139474303/22898070580616*c_1001_4^7 - 9425210509931232299/3271152940088*c_1001_4^6 - 54494387937140015989/11449035290308*c_1001_4^5 + 28786094852597434019/1635576470044*c_1001_4^4 - 646917492940144234145/22898070580616*c_1001_4^3 + 634284434453384581589/22898070580616*c_1001_4^2 - 448668177801901124477/22898070580616*c_1001_4 + 91781300247730047555/11449035290308, c_0011_0 - 1, c_0011_10 - 1492330908/37172192501*c_1001_4^13 + 212866549/37172192501*c_1001_4^12 - 8156288301/37172192501*c_1001_4^11 + 3001509220/37172192501*c_1001_4^10 - 47319871942/37172192501*c_1001_4^9 + 83748149760/37172192501*c_1001_4^8 - 223024293321/37172192501*c_1001_4^7 + 320374689855/37172192501*c_1001_4^6 - 425090063361/37172192501*c_1001_4^5 + 419651958517/37172192501*c_1001_4^4 - 284535566672/37172192501*c_1001_4^3 + 160564960853/37172192501*c_1001_4^2 - 44975777780/37172192501*c_1001_4 + 17260659107/37172192501, c_0011_11 - 825887651/37172192501*c_1001_4^13 - 1133723299/37172192501*c_1001_4^12 - 3013358429/37172192501*c_1001_4^11 - 888040580/37172192501*c_1001_4^10 - 15012512637/37172192501*c_1001_4^9 + 19151405030/37172192501*c_1001_4^8 - 24551651634/37172192501*c_1001_4^7 + 5174052201/37172192501*c_1001_4^6 + 2383133536/37172192501*c_1001_4^5 - 76526461728/37172192501*c_1001_4^4 + 71107316671/37172192501*c_1001_4^3 - 29206634458/37172192501*c_1001_4^2 + 21872277044/37172192501*c_1001_4 + 11485384457/37172192501, c_0011_12 + 4346743487/74344385002*c_1001_4^13 + 6444745877/74344385002*c_1001_4^12 + 12552408617/37172192501*c_1001_4^11 + 16261668007/74344385002*c_1001_4^10 + 112893349511/74344385002*c_1001_4^9 - 101928315035/74344385002*c_1001_4^8 + 264257490863/74344385002*c_1001_4^7 - 165466803523/37172192501*c_1001_4^6 + 160734984426/37172192501*c_1001_4^5 - 269691685055/74344385002*c_1001_4^4 + 98634380614/37172192501*c_1001_4^3 - 46088912135/37172192501*c_1001_4^2 + 46850335335/74344385002*c_1001_4 - 22323641197/74344385002, c_0011_9 - 1716292789/74344385002*c_1001_4^13 - 1155777793/74344385002*c_1001_4^12 - 2842404965/37172192501*c_1001_4^11 + 6515463671/74344385002*c_1001_4^10 - 24020306779/74344385002*c_1001_4^9 + 94664128631/74344385002*c_1001_4^8 - 70275952457/74344385002*c_1001_4^7 + 105071549367/37172192501*c_1001_4^6 - 68039173690/37172192501*c_1001_4^5 + 111044454895/74344385002*c_1001_4^4 - 46999289926/37172192501*c_1001_4^3 - 8955452282/37172192501*c_1001_4^2 + 30002703897/74344385002*c_1001_4 - 10757556547/74344385002, c_0101_1 - 1, c_0101_11 + 730044695/74344385002*c_1001_4^13 - 1507386493/74344385002*c_1001_4^12 + 792190852/37172192501*c_1001_4^11 - 12966678277/74344385002*c_1001_4^10 + 10494938939/74344385002*c_1001_4^9 - 94799559551/74344385002*c_1001_4^8 + 122205124791/74344385002*c_1001_4^7 - 146200589229/37172192501*c_1001_4^6 + 180608981433/37172192501*c_1001_4^5 - 366439345299/74344385002*c_1001_4^4 + 163354449964/37172192501*c_1001_4^3 - 62129633305/37172192501*c_1001_4^2 + 42049602803/74344385002*c_1001_4 - 32906682235/74344385002, c_0101_12 - 1530768407/37172192501*c_1001_4^13 - 1697626971/37172192501*c_1001_4^12 - 8470030992/37172192501*c_1001_4^11 - 1763344728/37172192501*c_1001_4^10 - 38126787193/37172192501*c_1001_4^9 + 54213688954/37172192501*c_1001_4^8 - 115942890793/37172192501*c_1001_4^7 + 191171203755/37172192501*c_1001_4^6 - 205823584947/37172192501*c_1001_4^5 + 198747935815/37172192501*c_1001_4^4 - 157461554474/37172192501*c_1001_4^3 + 71784154450/37172192501*c_1001_4^2 - 23217934207/37172192501*c_1001_4 + 13008032119/37172192501, c_0101_2 - 4700954605/74344385002*c_1001_4^13 - 730044695/74344385002*c_1001_4^12 - 10998693266/37172192501*c_1001_4^11 + 12518482111/74344385002*c_1001_4^10 - 118660050663/74344385002*c_1001_4^9 + 262160428151/74344385002*c_1001_4^8 - 516324539099/74344385002*c_1001_4^7 + 425446239222/37172192501*c_1001_4^6 - 493129237051/37172192501*c_1001_4^5 + 950348371929/74344385002*c_1001_4^4 - 331534856598/37172192501*c_1001_4^3 + 151609508571/37172192501*c_1001_4^2 - 59948851663/74344385002*c_1001_4 + 23763761667/74344385002, c_0101_6 - 4700954605/74344385002*c_1001_4^13 - 730044695/74344385002*c_1001_4^12 - 10998693266/37172192501*c_1001_4^11 + 12518482111/74344385002*c_1001_4^10 - 118660050663/74344385002*c_1001_4^9 + 262160428151/74344385002*c_1001_4^8 - 516324539099/74344385002*c_1001_4^7 + 425446239222/37172192501*c_1001_4^6 - 493129237051/37172192501*c_1001_4^5 + 950348371929/74344385002*c_1001_4^4 - 331534856598/37172192501*c_1001_4^3 + 151609508571/37172192501*c_1001_4^2 - 134293236665/74344385002*c_1001_4 + 23763761667/74344385002, c_0101_8 - 2664491706/37172192501*c_1001_4^13 - 581547145/37172192501*c_1001_4^12 - 11835734525/37172192501*c_1001_4^11 + 6348996863/37172192501*c_1001_4^10 - 66876865921/37172192501*c_1001_4^9 + 137027431950/37172192501*c_1001_4^8 - 281727582349/37172192501*c_1001_4^7 + 418195778363/37172192501*c_1001_4^6 - 512772701304/37172192501*c_1001_4^5 + 450724648055/37172192501*c_1001_4^4 - 297337134166/37172192501*c_1001_4^3 + 139080252299/37172192501*c_1001_4^2 - 23294976864/37172192501*c_1001_4 + 18789245676/37172192501, c_0110_12 - 2957475965/74344385002*c_1001_4^13 - 1365113379/74344385002*c_1001_4^12 - 7656401746/37172192501*c_1001_4^11 + 1272944545/74344385002*c_1001_4^10 - 79543318633/74344385002*c_1001_4^9 + 134349233977/74344385002*c_1001_4^8 - 314032129379/74344385002*c_1001_4^7 + 220074869666/37172192501*c_1001_4^6 - 262409653777/37172192501*c_1001_4^5 + 441741995155/74344385002*c_1001_4^4 - 127088727839/37172192501*c_1001_4^3 + 61428545935/37172192501*c_1001_4^2 + 641153583/74344385002*c_1001_4 + 25303772883/74344385002, c_1001_4^14 + 5*c_1001_4^12 - 3*c_1001_4^11 + 28*c_1001_4^10 - 58*c_1001_4^9 + 130*c_1001_4^8 - 207*c_1001_4^7 + 272*c_1001_4^6 - 279*c_1001_4^5 + 219*c_1001_4^4 - 134*c_1001_4^3 + 55*c_1001_4^2 - 14*c_1001_4 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.650 Total time: 0.860 seconds, Total memory usage: 32.09MB