Magma V2.19-8 Wed Aug 21 2013 00:14:35 on localhost [Seed = 3751392070] Type ? for help. Type -D to quit. Loading file "K13n3998__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3998 geometric_solution 12.08705324 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424573026055 0.875967947815 0 5 7 6 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032095726130 1.226279290018 5 0 6 7 0132 0132 0132 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 -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 -0.270450865683 1.225579851247 8 9 10 0 0132 0132 0132 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 4 0 -1 -3 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566996929255 0.988095370936 11 10 0 8 0132 0132 0132 0132 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 1 -1 1 0 3 -4 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508061324496 0.744997486167 2 1 12 11 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137767135157 0.652870314007 11 12 1 2 2103 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137767135157 0.652870314007 10 8 2 1 2310 2310 0132 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 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 0.424573026055 0.875967947815 3 9 4 7 0132 3201 0132 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 -1 1 0 -4 0 4 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566996929255 0.988095370936 12 3 8 12 0132 0132 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.095290734768 0.607432769310 11 4 7 3 3201 0132 3201 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 0 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 0.508061324496 0.744997486167 4 5 6 10 0132 0321 2103 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439766146711 0.606867807133 9 9 6 5 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440158846322 1.990031133599 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_1001_12']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : negation(d['c_1001_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_1001_12']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : negation(d['c_0101_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_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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_1001_12']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : negation(d['c_1001_12']), 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : negation(d['c_1001_0']), 'c_1100_8' : negation(d['c_0011_7']), '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' : d['c_0011_6'], '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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_0'], '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_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10']), 's_2_9' : d['1']})} 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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_5, c_1001_0, c_1001_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 13299229833347736481351821/38891327114785877180800*c_1100_1^17 + 393500955955302861512060199/1672327065935792718774400*c_1100_1^16 + 2559258119394160433110913699/836163532967896359387200*c_1100_1^15 + 3871019513214705274705707/972283177869646929520*c_1100_1^14 + 98048643409043600018562279/104520441620987044923400*c_1100_1^13 + 53478796692137786079870417/5226022081049352246170*c_1100_1^12 + 6612256213070701505861728233/418081766483948179693600*c_1100_1^11 + 42414390291637693974109683/33446541318715854375488*c_1100_1^10 + 4713888683901843227444066739/418081766483948179693600*c_1100_1^9 + 11588298050395076232034565561/418081766483948179693600*c_1100_1^8 + 226733856682408961702049925/33446541318715854375488*c_1100_1^7 + 110862562345943452132242867/418081766483948179693600*c_1100_1^6 + 338713991446654498349529407/20904088324197408984680*c_1100_1^5 + 384569489009383794973420573/52260220810493522461700*c_1100_1^4 - 70325303884277972041187751/41808176648394817969360*c_1100_1^3 + 66737749888171019515117007/19445663557392938590400*c_1100_1^2 + 3873059087575932339654898201/1672327065935792718774400*c_1100_1 - 1031353970788402466663214303/1672327065935792718774400, c_0011_0 - 1, c_0011_10 - 26586095125226387/100054867802381984*c_1100_1^17 - 12232591345015921/100054867802381984*c_1100_1^16 - 112171111590536853/50027433901190992*c_1100_1^15 - 16199275734061125/6253429237648874*c_1100_1^14 + 11513145499594767/12506858475297748*c_1100_1^13 - 96760240546852891/12506858475297748*c_1100_1^12 - 246564262602294435/25013716950595496*c_1100_1^11 + 206517742363032857/50027433901190992*c_1100_1^10 - 96302742527652475/12506858475297748*c_1100_1^9 - 240093855587278943/12506858475297748*c_1100_1^8 + 131499261518996681/50027433901190992*c_1100_1^7 + 45751198414944133/25013716950595496*c_1100_1^6 - 150687722674103527/12506858475297748*c_1100_1^5 - 26017661738393325/12506858475297748*c_1100_1^4 + 13084769198712613/6253429237648874*c_1100_1^3 - 155465912278850469/50027433901190992*c_1100_1^2 - 166451488516737201/100054867802381984*c_1100_1 - 12013129855748531/100054867802381984, c_0011_12 - 11238086934815815/50027433901190992*c_1100_1^17 + 2823341150225035/50027433901190992*c_1100_1^16 - 46161046142869325/25013716950595496*c_1100_1^15 - 4972717121817879/6253429237648874*c_1100_1^14 + 6690814829483889/3126714618824437*c_1100_1^13 - 42912579383171421/6253429237648874*c_1100_1^12 - 40272249591756467/12506858475297748*c_1100_1^11 + 205823857731170677/25013716950595496*c_1100_1^10 - 49319331133413787/6253429237648874*c_1100_1^9 - 58527848774847697/6253429237648874*c_1100_1^8 + 266654671306175197/25013716950595496*c_1100_1^7 + 11782364192085865/12506858475297748*c_1100_1^6 - 41156645664751327/6253429237648874*c_1100_1^5 + 8045914581620812/3126714618824437*c_1100_1^4 + 10593713359547031/6253429237648874*c_1100_1^3 - 13831106024951077/25013716950595496*c_1100_1^2 + 55313148893039675/50027433901190992*c_1100_1 + 26359181811721945/50027433901190992, c_0011_6 + 20806478146723661/100054867802381984*c_1100_1^17 + 25583529197732203/100054867802381984*c_1100_1^16 + 95395936334839777/50027433901190992*c_1100_1^15 + 88064316353227065/25013716950595496*c_1100_1^14 + 41927355496285589/25013716950595496*c_1100_1^13 + 178756636313186399/25013716950595496*c_1100_1^12 + 88366200733136197/6253429237648874*c_1100_1^11 + 246074913621360755/50027433901190992*c_1100_1^10 + 201210963936699263/25013716950595496*c_1100_1^9 + 598743315750325351/25013716950595496*c_1100_1^8 + 551038220999359043/50027433901190992*c_1100_1^7 + 2876326908735159/6253429237648874*c_1100_1^6 + 333414425463074535/25013716950595496*c_1100_1^5 + 232429305572469469/25013716950595496*c_1100_1^4 - 47066098641934943/25013716950595496*c_1100_1^3 + 29535805955273841/50027433901190992*c_1100_1^2 + 155643926816948491/100054867802381984*c_1100_1 - 22587288066889907/100054867802381984, c_0011_7 - 8831905874358013/100054867802381984*c_1100_1^17 + 15193991820898911/100054867802381984*c_1100_1^16 - 35201678721022771/50027433901190992*c_1100_1^15 + 19145494127983977/25013716950595496*c_1100_1^14 + 45371042774914075/25013716950595496*c_1100_1^13 - 84175918013379813/25013716950595496*c_1100_1^12 + 8907964535428380/3126714618824437*c_1100_1^11 + 422199712179023269/50027433901190992*c_1100_1^10 - 20721022719400138/3126714618824437*c_1100_1^9 + 5351944616396089/3126714618824437*c_1100_1^8 + 807827659559613067/50027433901190992*c_1100_1^7 - 10995475082999173/3126714618824437*c_1100_1^6 - 72149352274734899/25013716950595496*c_1100_1^5 + 271158877743775037/25013716950595496*c_1100_1^4 + 26716102516585951/25013716950595496*c_1100_1^3 - 93278202365756093/50027433901190992*c_1100_1^2 + 199983067675912097/100054867802381984*c_1100_1 - 10612715794524259/100054867802381984, c_0101_0 + 13372069242957727/100054867802381984*c_1100_1^17 - 24851549430741751/100054867802381984*c_1100_1^16 + 58278484827251221/50027433901190992*c_1100_1^15 - 19809939951122195/12506858475297748*c_1100_1^14 - 10983532119489201/6253429237648874*c_1100_1^13 + 43721737956725343/12506858475297748*c_1100_1^12 - 113982163196337109/25013716950595496*c_1100_1^11 - 363334506348216289/50027433901190992*c_1100_1^10 + 70822534642296241/12506858475297748*c_1100_1^9 - 23673692734605597/6253429237648874*c_1100_1^8 - 537998254061190273/50027433901190992*c_1100_1^7 + 51804324071018257/25013716950595496*c_1100_1^6 - 2372026088145073/6253429237648874*c_1100_1^5 - 41740083239563741/12506858475297748*c_1100_1^4 + 6317010393540654/3126714618824437*c_1100_1^3 - 19358576907230723/50027433901190992*c_1100_1^2 - 75042382198377771/100054867802381984*c_1100_1 + 70689633745376483/100054867802381984, c_0101_1 - 4674490993871949/25013716950595496*c_1100_1^17 - 1308827221511367/6253429237648874*c_1100_1^16 - 43040549036783559/25013716950595496*c_1100_1^15 - 72906807774714707/25013716950595496*c_1100_1^14 - 36972636569807121/25013716950595496*c_1100_1^13 - 147172159262886707/25013716950595496*c_1100_1^12 - 301315013864926461/25013716950595496*c_1100_1^11 - 107234163120576697/25013716950595496*c_1100_1^10 - 175498549639926839/25013716950595496*c_1100_1^9 - 522858794157477703/25013716950595496*c_1100_1^8 - 266195923730493321/25013716950595496*c_1100_1^7 - 53237739336607133/25013716950595496*c_1100_1^6 - 332633631307344019/25013716950595496*c_1100_1^5 - 231460509435768593/25013716950595496*c_1100_1^4 - 33418380609150899/25013716950595496*c_1100_1^3 - 73668262506851703/25013716950595496*c_1100_1^2 - 13872182691914125/6253429237648874*c_1100_1 - 7334658234288533/25013716950595496, c_0101_12 - 14588042719893039/100054867802381984*c_1100_1^17 - 3061961898715881/100054867802381984*c_1100_1^16 - 66232078768768915/50027433901190992*c_1100_1^15 - 28000573325741723/25013716950595496*c_1100_1^14 - 6472408933125543/25013716950595496*c_1100_1^13 - 125301995701866609/25013716950595496*c_1100_1^12 - 16911906305768120/3126714618824437*c_1100_1^11 - 9338353141844897/50027433901190992*c_1100_1^10 - 180170389118277037/25013716950595496*c_1100_1^9 - 276782478082310605/25013716950595496*c_1100_1^8 - 130581766367632929/50027433901190992*c_1100_1^7 - 9428026170922442/3126714618824437*c_1100_1^6 - 195884768618142273/25013716950595496*c_1100_1^5 - 115057869306015447/25013716950595496*c_1100_1^4 - 43382603965813227/25013716950595496*c_1100_1^3 - 19532824784755091/50027433901190992*c_1100_1^2 - 44932004570191433/100054867802381984*c_1100_1 - 64662007260343695/100054867802381984, c_0101_3 + 19590504669788349/100054867802381984*c_1100_1^17 - 2329982131725429/100054867802381984*c_1100_1^16 + 87442342393322083/50027433901190992*c_1100_1^15 + 2555482890655119/3126714618824437*c_1100_1^14 - 4239590957398379/12506858475297748*c_1100_1^13 + 35224529131192619/6253429237648874*c_1100_1^12 + 104187389290062719/25013716950595496*c_1100_1^11 - 126597945868700431/50027433901190992*c_1100_1^10 + 40671411025753677/6253429237648874*c_1100_1^9 + 113633033364796179/12506858475297748*c_1100_1^8 - 117541799429464159/50027433901190992*c_1100_1^7 - 12114577661420643/25013716950595496*c_1100_1^6 + 64020776246175985/12506858475297748*c_1100_1^5 + 8472817446831635/6253429237648874*c_1100_1^4 - 19956309729711469/12506858475297748*c_1100_1^3 - 9355595736711973/50027433901190992*c_1100_1^2 + 35669540048379287/100054867802381984*c_1100_1 - 16559661581857119/100054867802381984, c_0101_5 - 2350052980682413/50027433901190992*c_1100_1^17 - 2274757164368057/25013716950595496*c_1100_1^16 - 5238546054181679/12506858475297748*c_1100_1^15 - 12584178802733915/12506858475297748*c_1100_1^14 - 3154160015186577/6253429237648874*c_1100_1^13 - 2133576172858907/3126714618824437*c_1100_1^12 - 26974013719042325/6253429237648874*c_1100_1^11 - 34828126889574657/25013716950595496*c_1100_1^10 + 23221365609293907/25013716950595496*c_1100_1^9 - 175457989737259591/25013716950595496*c_1100_1^8 - 25882788825319067/6253429237648874*c_1100_1^7 + 43630968867768853/12506858475297748*c_1100_1^6 - 25393449254182491/6253429237648874*c_1100_1^5 - 25821105621064869/6253429237648874*c_1100_1^4 + 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395/43*c_1100_1^16 + 14*c_1100_1^15 + 264/43*c_1100_1^14 + 1408/43*c_1100_1^13 + 2324/43*c_1100_1^12 + 746/43*c_1100_1^11 + 1774/43*c_1100_1^10 + 3944/43*c_1100_1^9 + 1774/43*c_1100_1^8 + 746/43*c_1100_1^7 + 2324/43*c_1100_1^6 + 1408/43*c_1100_1^5 + 264/43*c_1100_1^4 + 14*c_1100_1^3 + 395/43*c_1100_1^2 + 40/43*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.300 Total time: 4.500 seconds, Total memory usage: 64.12MB