Magma V2.19-8 Wed Aug 21 2013 01:02:45 on localhost [Seed = 525927674] Type ? for help. Type -D to quit. Loading file "L14n15640__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15640 geometric_solution 12.16575198 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -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 0.586174162761 0.737261041078 0 3 6 5 0132 3201 0132 0132 1 1 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 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 0.348532910430 0.734244988513 7 0 9 8 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.472392195799 1.111497292054 9 10 1 0 1230 0132 2310 0132 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 -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 0.414934419397 0.877740486795 11 6 0 7 0132 0132 0132 3201 1 1 0 1 0 0 0 0 -1 0 1 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 1 -1 0 -1 0 0 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 0.586174162761 0.737261041078 12 8 1 11 0132 1023 0132 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 1 -1 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 0.586174162761 0.737261041078 12 4 8 1 1023 0132 0132 0132 1 1 1 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 -1 0 1 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 0.348532910430 0.734244988513 2 4 10 12 0132 2310 1230 3012 0 1 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 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 0.637914076999 0.518547639325 5 10 2 6 1023 0213 0132 0132 1 1 0 1 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 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 0.586174162761 0.737261041078 12 3 11 2 3012 3012 0132 0132 1 1 1 1 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 0.297084612030 0.403874220002 11 3 8 7 1302 0132 0213 3012 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 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 0.056097198900 0.767279774676 4 10 5 9 0132 2031 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.472392195799 1.111497292054 5 6 7 9 0132 1023 1230 1230 1 1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414934419397 0.877740486795 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_1'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_0_11' : 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_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1001_6'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1001_6'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_0101_2'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_11, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0101_7, c_1001_0, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 424272498417178191829096188227/7786910213165043341531154900*c_1100_\ 1^11 - 2354145181488071039089413347/9844387121574011809773900*c_110\ 0_1^10 - 348175959779268037737892797194/18540262412297722241740845*\ c_1100_1^9 + 393348363341844093440744596208587/77869102131650433415\ 31154900*c_1100_1^8 - 739218483632989782312140875233943/77869102131\ 65043341531154900*c_1100_1^7 + 1055194342636252086594429178424663/7\ 786910213165043341531154900*c_1100_1^6 - 97515036992579408593387845153472/648909184430420278460929575*c_1100\ _1^5 + 36900340007338517849168946859312/278103936184465833626112675\ *c_1100_1^4 - 71849824138810552571866636578257/77869102131650433415\ 3115490*c_1100_1^3 + 20679001068727645865798359854427/4326061229536\ 13518973953050*c_1100_1^2 - 137477616286560922162473887590277/77869\ 10213165043341531154900*c_1100_1 + 27477212812241328938964520363489/7786910213165043341531154900, c_0011_0 - 1, c_0011_10 + 1870216890190885/7350033774611129*c_1100_1^11 + 1183590131742019/1050004824944447*c_1100_1^10 + 92116766586604194/1050004824944447*c_1100_1^9 - 1708012639475433465/7350033774611129*c_1100_1^8 + 3143764496165342881/7350033774611129*c_1100_1^7 - 4403531374580926591/7350033774611129*c_1100_1^6 + 4815054175344560701/7350033774611129*c_1100_1^5 - 592105319970706356/1050004824944447*c_1100_1^4 + 2808373526468717703/7350033774611129*c_1100_1^3 - 1403285789421556927/7350033774611129*c_1100_1^2 + 487820281906957382/7350033774611129*c_1100_1 - 88421750353898525/7350033774611129, c_0011_11 + 1, c_0011_9 - 3612104888797003/22050101323833387*c_1100_1^11 - 2360051203711085/3150014474833341*c_1100_1^10 - 59421618380123872/1050004824944447*c_1100_1^9 + 3119637298515044960/22050101323833387*c_1100_1^8 - 5653743685339635020/22050101323833387*c_1100_1^7 + 7911577093899568972/22050101323833387*c_1100_1^6 - 2828524893168980667/7350033774611129*c_1100_1^5 + 1038570653233914935/3150014474833341*c_1100_1^4 - 4927700830056833236/22050101323833387*c_1100_1^3 + 807441719912399725/7350033774611129*c_1100_1^2 - 866934727780222231/22050101323833387*c_1100_1 + 171095856056604359/22050101323833387, c_0101_1 - 517946621368427/22050101323833387*c_1100_1^11 - 214963711445380/3150014474833341*c_1100_1^10 - 8316704629684552/1050004824944447*c_1100_1^9 + 747370680764183878/22050101323833387*c_1100_1^8 - 1443405947547351406/22050101323833387*c_1100_1^7 + 2203973080312760657/22050101323833387*c_1100_1^6 - 878465409544946047/7350033774611129*c_1100_1^5 + 348674397217606354/3150014474833341*c_1100_1^4 - 1760658363897589733/22050101323833387*c_1100_1^3 + 327475106836442371/7350033774611129*c_1100_1^2 - 358543022571249998/22050101323833387*c_1100_1 + 70842442749327916/22050101323833387, c_0101_11 + 14226579866621821/110250506619166935*c_1100_1^11 + 8621101201382489/15750072374166705*c_1100_1^10 + 46560937998961831/1050004824944447*c_1100_1^9 - 13937280745538782061/110250506619166935*c_1100_1^8 + 24858703071773885282/110250506619166935*c_1100_1^7 - 34964803003226607859/110250506619166935*c_1100_1^6 + 12599032631984801603/36750168873055645*c_1100_1^5 - 4559950608638417213/15750072374166705*c_1100_1^4 + 21219262666245048877/110250506619166935*c_1100_1^3 - 680580321278259373/7350033774611129*c_1100_1^2 + 3460171560414712177/110250506619166935*c_1100_1 - 615645764110823861/110250506619166935, c_0101_2 - 2720454191630683/22050101323833387*c_1100_1^11 - 1667753684144516/3150014474833341*c_1100_1^10 - 44575692573503164/1050004824944447*c_1100_1^9 + 2615340870126224669/22050101323833387*c_1100_1^8 - 4848854071809612251/22050101323833387*c_1100_1^7 + 6786697231329601027/22050101323833387*c_1100_1^6 - 2464551970669695267/7350033774611129*c_1100_1^5 + 909175585832384453/3150014474833341*c_1100_1^4 - 4193987408024934319/22050101323833387*c_1100_1^3 + 684609641607241020/7350033774611129*c_1100_1^2 - 662155294771234261/22050101323833387*c_1100_1 + 100185525083153747/22050101323833387, c_0101_3 - 3229380345092935/22050101323833387*c_1100_1^11 - 2116525300841261/3150014474833341*c_1100_1^10 - 53148329396753076/1050004824944447*c_1100_1^9 + 2771705050036504763/22050101323833387*c_1100_1^8 - 5110252705839941687/22050101323833387*c_1100_1^7 + 7111368973434672166/22050101323833387*c_1100_1^6 - 2581249374041139786/7350033774611129*c_1100_1^5 + 952376348733093176/3150014474833341*c_1100_1^4 - 4565728102845663802/22050101323833387*c_1100_1^3 + 775270620116624370/7350033774611129*c_1100_1^2 - 847455358314790615/22050101323833387*c_1100_1 + 168049259780166125/22050101323833387, c_0101_6 - 844932646846143/36750168873055645*c_1100_1^11 - 885912116493437/5250024124722235*c_1100_1^10 - 8670977869223251/1050004824944447*c_1100_1^9 - 81714932358708067/36750168873055645*c_1100_1^8 + 384430657923924814/36750168873055645*c_1100_1^7 - 1022562985350508213/36750168873055645*c_1100_1^6 + 1673007475154999698/36750168873055645*c_1100_1^5 - 264527845373515296/5250024124722235*c_1100_1^4 + 1566953570445106199/36750168873055645*c_1100_1^3 - 192573282947057342/7350033774611129*c_1100_1^2 + 399239589466002094/36750168873055645*c_1100_1 - 92117376160180172/36750168873055645, c_0101_7 + 2962291260165550/22050101323833387*c_1100_1^11 + 2013385449764105/3150014474833341*c_1100_1^10 + 48891605761450748/1050004824944447*c_1100_1^9 - 2365284014982842876/22050101323833387*c_1100_1^8 + 4467962826923319569/22050101323833387*c_1100_1^7 - 6103797871475919898/22050101323833387*c_1100_1^6 + 2201193852640262464/7350033774611129*c_1100_1^5 - 815567197749316487/3150014474833341*c_1100_1^4 + 3859296323866795804/22050101323833387*c_1100_1^3 - 648838803328916365/7350033774611129*c_1100_1^2 + 722916592370452261/22050101323833387*c_1100_1 - 135892815358075304/22050101323833387, c_1001_0 - 1950460834861211/22050101323833387*c_1100_1^11 - 1120552696695589/3150014474833341*c_1100_1^10 - 31880778823913499/1050004824944447*c_1100_1^9 + 2053170680555130049/22050101323833387*c_1100_1^8 - 4194899836341379036/22050101323833387*c_1100_1^7 + 6279483278166730655/22050101323833387*c_1100_1^6 - 2455548617804582679/7350033774611129*c_1100_1^5 + 978995969776052023/3150014474833341*c_1100_1^4 - 5044791513296701163/22050101323833387*c_1100_1^3 + 924352912910267783/7350033774611129*c_1100_1^2 - 1089074390245723925/22050101323833387*c_1100_1 + 233091680795974411/22050101323833387, c_1001_6 - 2680764453762511/36750168873055645*c_1100_1^11 - 1461730589846859/5250024124722235*c_1100_1^10 - 26159695327015106/1050004824944447*c_1100_1^9 + 3022832365390224116/36750168873055645*c_1100_1^8 - 5513524411730854402/36750168873055645*c_1100_1^7 + 8343221243751017324/36750168873055645*c_1100_1^6 - 9393101193154531529/36750168873055645*c_1100_1^5 + 1224744026384118523/5250024124722235*c_1100_1^4 - 6088272991829619292/36750168873055645*c_1100_1^3 + 656016646657803275/7350033774611129*c_1100_1^2 - 1259313578582993847/36750168873055645*c_1100_1 + 279791215267090001/36750168873055645, c_1100_1^12 + 4*c_1100_1^11 + 343*c_1100_1^10 - 1061*c_1100_1^9 + 2116*c_1100_1^8 - 3192*c_1100_1^7 + 3775*c_1100_1^6 - 3572*c_1100_1^5 + 2706*c_1100_1^4 - 1588*c_1100_1^3 + 697*c_1100_1^2 - 204*c_1100_1 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.500 Total time: 0.720 seconds, Total memory usage: 64.12MB