Magma V2.19-8 Wed Aug 21 2013 00:22:21 on localhost [Seed = 3313751945] Type ? for help. Type -D to quit. Loading file "K14n11942__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n11942 geometric_solution 12.07094172 oriented_manifold CS_known 0.0000000000000008 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 0 0 0 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 0.816807391990 0.593753947573 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 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 0.675098399915 0.839471570248 5 0 8 7 2310 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 0.675098399915 0.839471570248 9 7 10 0 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 1.047085426298 1.139033947261 7 11 0 12 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047085426298 1.139033947261 11 1 2 9 0321 0132 3201 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 -1 0 1 -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 0.399124281829 0.594793613189 11 8 1 10 2031 2031 0132 0321 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 11 -11 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634805472529 0.675977919643 4 3 2 1 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 -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 0.346951431958 0.226890172024 6 9 12 2 1302 1302 2103 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 -1 0 1 0 0 0 0 0 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634805472529 0.675977919643 3 5 11 8 0132 0321 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 -1 1 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216905774195 0.898159510255 12 6 12 3 1230 0321 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166305539803 0.665762348961 5 4 6 9 0321 0132 1302 1302 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 1 -1 1 0 0 -1 1 10 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216905774195 0.898159510255 8 10 4 10 2103 3012 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 -1 1 0 -1 0 0 1 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166305539803 0.665762348961 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_8'], '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' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_10'], '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_1100_9' : negation(d['c_1001_2']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0110_12']), 'c_1100_6' : negation(d['c_0110_12']), 'c_1100_1' : negation(d['c_0110_12']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0110_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0110_12']), '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_0101_10'], '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_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_12, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 302334897393326188813/18643294828*c_1001_2^7 - 3309748953282806545987/18643294828*c_1001_2^6 - 9197937589476775372791/18643294828*c_1001_2^5 + 1300566225469175535911/9321647414*c_1001_2^4 + 123686472548215000731/227357254*c_1001_2^3 + 5081636625121815365699/4660823707*c_1001_2^2 + 11626731039074774802163/18643294828*c_1001_2 + 2868116124515382128929/9321647414, c_0011_0 - 1, c_0011_10 + 18515/114943*c_1001_2^7 + 197152/114943*c_1001_2^6 + 491992/114943*c_1001_2^5 - 439797/114943*c_1001_2^4 - 803907/114943*c_1001_2^3 - 611625/114943*c_1001_2^2 - 84021/114943*c_1001_2 + 2605/114943, c_0011_11 + 19282/114943*c_1001_2^7 + 219424/114943*c_1001_2^6 + 670537/114943*c_1001_2^5 + 3575/114943*c_1001_2^4 - 969051/114943*c_1001_2^3 - 1508921/114943*c_1001_2^2 - 879196/114943*c_1001_2 - 180364/114943, c_0011_12 + 18515/114943*c_1001_2^7 + 197152/114943*c_1001_2^6 + 491992/114943*c_1001_2^5 - 439797/114943*c_1001_2^4 - 803907/114943*c_1001_2^3 - 611625/114943*c_1001_2^2 - 84021/114943*c_1001_2 + 2605/114943, c_0011_6 + 16677/114943*c_1001_2^7 + 172254/114943*c_1001_2^6 + 392630/114943*c_1001_2^5 - 470182/114943*c_1001_2^4 - 440684/114943*c_1001_2^3 - 525269/114943*c_1001_2^2 - 158161/114943*c_1001_2 - 41638/114943, c_0011_8 + 16677/114943*c_1001_2^7 + 172254/114943*c_1001_2^6 + 392630/114943*c_1001_2^5 - 470182/114943*c_1001_2^4 - 440684/114943*c_1001_2^3 - 525269/114943*c_1001_2^2 - 158161/114943*c_1001_2 - 41638/114943, c_0101_0 + c_1001_2, c_0101_1 - 22664/114943*c_1001_2^7 - 259484/114943*c_1001_2^6 - 791831/114943*c_1001_2^5 + 83725/114943*c_1001_2^4 + 1436028/114943*c_1001_2^3 + 1412919/114943*c_1001_2^2 + 838832/114943*c_1001_2 + 28038/114943, c_0101_10 - 9523/114943*c_1001_2^7 - 88602/114943*c_1001_2^6 - 117702/114943*c_1001_2^5 + 548300/114943*c_1001_2^4 + 65660/114943*c_1001_2^3 - 113031/114943*c_1001_2^2 - 319344/114943*c_1001_2 - 17543/114943, c_0101_2 - 14839/114943*c_1001_2^7 - 147356/114943*c_1001_2^6 - 293268/114943*c_1001_2^5 + 500567/114943*c_1001_2^4 + 77461/114943*c_1001_2^3 + 438913/114943*c_1001_2^2 + 2415/114943*c_1001_2 + 85881/114943, c_0110_12 - 7322/114943*c_1001_2^7 - 72795/114943*c_1001_2^6 - 138549/114943*c_1001_2^5 + 313463/114943*c_1001_2^4 + 178463/114943*c_1001_2^3 - 45591/114943*c_1001_2^2 - 224558/114943*c_1001_2 - 19282/114943, c_1001_0 + 22664/114943*c_1001_2^7 + 259484/114943*c_1001_2^6 + 791831/114943*c_1001_2^5 - 83725/114943*c_1001_2^4 - 1436028/114943*c_1001_2^3 - 1412919/114943*c_1001_2^2 - 838832/114943*c_1001_2 - 28038/114943, c_1001_2^8 + 11*c_1001_2^7 + 31*c_1001_2^6 - 7*c_1001_2^5 - 34*c_1001_2^4 - 69*c_1001_2^3 - 42*c_1001_2^2 - 21*c_1001_2 - 1 ], 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_12, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 192853991653619050678274/6729071652277925757025*c_1001_2^13 - 1639234070397999231110052/6729071652277925757025*c_1001_2^12 - 7174535967012845386190692/6729071652277925757025*c_1001_2^11 - 9673673178368031365266923/6729071652277925757025*c_1001_2^10 + 2705911578324667836234128/6729071652277925757025*c_1001_2^9 + 36483519694989966509671792/6729071652277925757025*c_1001_2^8 + 14190280452113471945448664/1345814330455585151405*c_1001_2^7 + 63013404245444134852136977/6729071652277925757025*c_1001_2^6 + 16156768621647674736520563/6729071652277925757025*c_1001_2^5 - 18557127998628466291700398/6729071652277925757025*c_1001_2^4 - 31951876809865203764983672/6729071652277925757025*c_1001_2^3 - 38253888188352085182831862/6729071652277925757025*c_1001_2^2 - 1676020241244790001996149/6729071652277925757025*c_1001_2 - 1674597294638057970576142/1345814330455585151405, c_0011_0 - 1, c_0011_10 - 442282023208995406/13874374540779228365*c_1001_2^13 - 3675839069103198778/13874374540779228365*c_1001_2^12 - 15623403846323440328/13874374540779228365*c_1001_2^11 - 18119301105533181017/13874374540779228365*c_1001_2^10 + 14237599963845738207/13874374540779228365*c_1001_2^9 + 85446251672695436543/13874374540779228365*c_1001_2^8 + 27835023108290046826/2774874908155845673*c_1001_2^7 + 89118072424143907588/13874374540779228365*c_1001_2^6 - 21345292857951844958/13874374540779228365*c_1001_2^5 - 52304201015874501412/13874374540779228365*c_1001_2^4 - 38293906352624502423/13874374540779228365*c_1001_2^3 - 35730605607893368533/13874374540779228365*c_1001_2^2 + 39682528065042711344/13874374540779228365*c_1001_2 + 182909692135297581/2774874908155845673, c_0011_11 + 51136341453894294/13874374540779228365*c_1001_2^13 + 372308528230575217/13874374540779228365*c_1001_2^12 + 1342904703188818552/13874374540779228365*c_1001_2^11 - 3443447529794302/13874374540779228365*c_1001_2^10 - 4915980922896302438/13874374540779228365*c_1001_2^9 - 10073034281590649342/13874374540779228365*c_1001_2^8 - 1157516579567465280/2774874908155845673*c_1001_2^7 + 13641159566026380418/13874374540779228365*c_1001_2^6 + 27699761139870388857/13874374540779228365*c_1001_2^5 + 16493681187371325903/13874374540779228365*c_1001_2^4 - 7465601340532839173/13874374540779228365*c_1001_2^3 - 12883574568060334888/13874374540779228365*c_1001_2^2 - 23306391397906903716/13874374540779228365*c_1001_2 + 956250925531997772/2774874908155845673, c_0011_12 + 69836731528547490/2774874908155845673*c_1001_2^13 + 592204598574923376/2774874908155845673*c_1001_2^12 + 2567099236579360234/2774874908155845673*c_1001_2^11 + 3289133626317923601/2774874908155845673*c_1001_2^10 - 1749762722865215250/2774874908155845673*c_1001_2^9 - 14067482162973956123/2774874908155845673*c_1001_2^8 - 24765675040288440991/2774874908155845673*c_1001_2^7 - 17830523328845610900/2774874908155845673*c_1001_2^6 + 2636101016212112939/2774874908155845673*c_1001_2^5 + 11021291208797293559/2774874908155845673*c_1001_2^4 + 7969410922755794944/2774874908155845673*c_1001_2^3 + 4375500485609016885/2774874908155845673*c_1001_2^2 - 6820772733760034552/2774874908155845673*c_1001_2 - 1785190976885850672/2774874908155845673, c_0011_6 - 290246564189094526/13874374540779228365*c_1001_2^13 - 2286232901212207623/13874374540779228365*c_1001_2^12 - 9199434532910962203/13874374540779228365*c_1001_2^11 - 7410215966989719572/13874374540779228365*c_1001_2^10 + 14670196995881248427/13874374540779228365*c_1001_2^9 + 52448960992775367268/13874374540779228365*c_1001_2^8 + 13896030488681086665/2774874908155845673*c_1001_2^7 + 19888909304319127243/13874374540779228365*c_1001_2^6 - 43284885558199637903/13874374540779228365*c_1001_2^5 - 41988171237436796367/13874374540779228365*c_1001_2^4 - 21834562202991508893/13874374540779228365*c_1001_2^3 - 13702643497946352123/13874374540779228365*c_1001_2^2 + 42679337918965505259/13874374540779228365*c_1001_2 - 2850189390031307678/2774874908155845673, c_0011_8 + 290246564189094526/13874374540779228365*c_1001_2^13 + 2286232901212207623/13874374540779228365*c_1001_2^12 + 9199434532910962203/13874374540779228365*c_1001_2^11 + 7410215966989719572/13874374540779228365*c_1001_2^10 - 14670196995881248427/13874374540779228365*c_1001_2^9 - 52448960992775367268/13874374540779228365*c_1001_2^8 - 13896030488681086665/2774874908155845673*c_1001_2^7 - 19888909304319127243/13874374540779228365*c_1001_2^6 + 43284885558199637903/13874374540779228365*c_1001_2^5 + 41988171237436796367/13874374540779228365*c_1001_2^4 + 21834562202991508893/13874374540779228365*c_1001_2^3 + 13702643497946352123/13874374540779228365*c_1001_2^2 - 42679337918965505259/13874374540779228365*c_1001_2 + 75314481875462005/2774874908155845673, c_0101_0 - 118252032306921154/13874374540779228365*c_1001_2^13 - 800319443512896757/13874374540779228365*c_1001_2^12 - 2649313945121699002/13874374540779228365*c_1001_2^11 + 1758340356884202532/13874374540779228365*c_1001_2^10 + 12098426332591564023/13874374540779228365*c_1001_2^9 + 18864015963148047177/13874374540779228365*c_1001_2^8 + 214081030614019402/2774874908155845673*c_1001_2^7 - 39709981966006993908/13874374540779228365*c_1001_2^6 - 53955129854721159532/13874374540779228365*c_1001_2^5 - 12993830513871528348/13874374540779228365*c_1001_2^4 + 21028627013517648208/13874374540779228365*c_1001_2^3 + 17595456094920490818/13874374540779228365*c_1001_2^2 + 24537838119429173206/13874374540779228365*c_1001_2 - 2550080935987275943/2774874908155845673, c_0101_1 + 13290034062812066/13874374540779228365*c_1001_2^13 + 170092099682135118/13874374540779228365*c_1001_2^12 + 954915382622586593/13874374540779228365*c_1001_2^11 + 2533504670679266312/13874374540779228365*c_1001_2^10 + 1533273352531800823/13874374540779228365*c_1001_2^9 - 5000067828194356383/13874374540779228365*c_1001_2^8 - 2549821801980380446/2774874908155845673*c_1001_2^7 - 17390215920189433908/13874374540779228365*c_1001_2^6 - 8419781757495021767/13874374540779228365*c_1001_2^5 - 3558500406410467953/13874374540779228365*c_1001_2^4 - 5449005120112222742/13874374540779228365*c_1001_2^3 + 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