Magma V2.19-8 Tue Aug 20 2013 23:50:49 on localhost [Seed = 3785853649] Type ? for help. Type -D to quit. Loading file "L12n873__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n873 geometric_solution 10.72985423 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 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 -2 0 2 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172796074498 0.847266887020 0 5 7 6 0132 0132 0132 0132 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 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 0 0 0 0 0.768383202654 0.390127493080 6 0 8 6 3120 0132 0132 0321 0 1 1 0 0 -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 2 -1 -1 0 0 0 0 -2 -1 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229812601421 0.833725926230 6 5 8 0 0132 2031 2103 0132 0 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 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 0.413690643846 0.365827725585 9 9 0 7 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -2 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 0.369096571616 0.832297346347 3 1 8 10 1302 0132 0321 0132 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 0 0 0 0 0 1 -1 -1 0 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 0.682156460437 0.628307804301 3 2 1 2 0132 0321 0132 3120 0 1 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 0 0 0 1 0 -1 0 0 0 0 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597838113997 0.647158258169 10 10 4 1 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 1.172796074498 0.847266887020 3 11 5 2 2103 0132 0321 0132 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 0 0 0 0 0 -1 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 0.175221044917 0.779547704509 4 11 11 4 0132 3201 0132 3201 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 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 -0.445257323985 1.004036660574 11 7 5 7 0213 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.439741337729 0.404749489728 10 8 9 9 0213 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369096571616 0.832297346347 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : 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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['c_1001_5'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_4']), 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_1001_11'], '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'], '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_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], '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_7'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], '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_0011_3'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/48*c_1001_5 - 1/16, c_0011_0 - 1, c_0011_10 - c_1001_5 + 1, c_0011_11 - c_1001_5 + 2, c_0011_3 - 1, c_0011_4 - 1, c_0101_0 - 1, c_0101_1 + c_1001_5 - 2, c_0101_2 + c_1001_5 - 1, c_0101_7 - 1, c_1001_1 - 3, c_1001_11 - 1, c_1001_5^2 - 3*c_1001_5 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 9608185/11030472*c_1001_5^10 - 1521725/22060944*c_1001_5^9 + 36532177/7353648*c_1001_5^8 + 41675177/11030472*c_1001_5^7 - 5184451/817072*c_1001_5^6 - 304933499/22060944*c_1001_5^5 - 29021737/2451216*c_1001_5^4 + 127157641/11030472*c_1001_5^3 + 214442269/11030472*c_1001_5^2 + 12502792/1378809*c_1001_5 + 13835303/5515236, c_0011_0 - 1, c_0011_10 + 23297/51067*c_1001_5^10 + 31707/102134*c_1001_5^9 - 108486/51067*c_1001_5^8 - 272295/102134*c_1001_5^7 + 133571/102134*c_1001_5^6 + 273053/51067*c_1001_5^5 + 301048/51067*c_1001_5^4 - 318467/102134*c_1001_5^3 - 367921/51067*c_1001_5^2 - 113467/51067*c_1001_5 + 23521/51067, c_0011_11 - 13773/51067*c_1001_5^10 + 5275/102134*c_1001_5^9 + 141891/102134*c_1001_5^8 + 44715/102134*c_1001_5^7 - 101715/51067*c_1001_5^6 - 224527/102134*c_1001_5^5 - 43726/51067*c_1001_5^4 + 423047/102134*c_1001_5^3 + 177361/102134*c_1001_5^2 - 55167/51067*c_1001_5 - 3283/51067, c_0011_3 + 2525/153201*c_1001_5^10 - 70013/306402*c_1001_5^9 - 12398/51067*c_1001_5^8 + 151655/153201*c_1001_5^7 + 70805/51067*c_1001_5^6 - 59905/153201*c_1001_5^5 - 225747/102134*c_1001_5^4 - 453386/153201*c_1001_5^3 + 271469/306402*c_1001_5^2 + 353801/153201*c_1001_5 + 168100/153201, c_0011_4 + 6630/51067*c_1001_5^10 - 3739/51067*c_1001_5^9 - 23640/51067*c_1001_5^8 + 11918/51067*c_1001_5^7 + 6628/51067*c_1001_5^6 - 14712/51067*c_1001_5^5 + 29469/51067*c_1001_5^4 - 46473/51067*c_1001_5^3 + 88833/51067*c_1001_5^2 + 2908/51067*c_1001_5 - 88496/51067, c_0101_0 - 1, c_0101_1 + 23297/51067*c_1001_5^10 + 31707/102134*c_1001_5^9 - 108486/51067*c_1001_5^8 - 272295/102134*c_1001_5^7 + 133571/102134*c_1001_5^6 + 273053/51067*c_1001_5^5 + 301048/51067*c_1001_5^4 - 318467/102134*c_1001_5^3 - 367921/51067*c_1001_5^2 - 113467/51067*c_1001_5 + 23521/51067, c_0101_2 - 13773/51067*c_1001_5^10 + 5275/102134*c_1001_5^9 + 141891/102134*c_1001_5^8 + 44715/102134*c_1001_5^7 - 101715/51067*c_1001_5^6 - 224527/102134*c_1001_5^5 - 43726/51067*c_1001_5^4 + 423047/102134*c_1001_5^3 + 177361/102134*c_1001_5^2 - 55167/51067*c_1001_5 - 3283/51067, c_0101_7 - 283915/306402*c_1001_5^10 - 553379/612804*c_1001_5^9 + 831477/204268*c_1001_5^8 + 2026505/306402*c_1001_5^7 - 131015/204268*c_1001_5^6 - 6940511/612804*c_1001_5^5 - 3211945/204268*c_1001_5^4 + 488941/306402*c_1001_5^3 + 2335079/153201*c_1001_5^2 + 1601611/153201*c_1001_5 + 381452/153201, c_1001_1 - 5319/51067*c_1001_5^10 - 35871/102134*c_1001_5^9 + 28457/102134*c_1001_5^8 + 205341/102134*c_1001_5^7 + 71907/51067*c_1001_5^6 - 245039/102134*c_1001_5^5 - 266938/51067*c_1001_5^4 - 320197/102134*c_1001_5^3 + 480991/102134*c_1001_5^2 + 265064/51067*c_1001_5 + 49877/51067, c_1001_11 + 37070/51067*c_1001_5^10 + 13216/51067*c_1001_5^9 - 358863/102134*c_1001_5^8 - 158505/51067*c_1001_5^7 + 337001/102134*c_1001_5^6 + 770633/102134*c_1001_5^5 + 344774/51067*c_1001_5^4 - 370757/51067*c_1001_5^3 - 913203/102134*c_1001_5^2 - 58300/51067*c_1001_5 + 26804/51067, c_1001_5^11 + 3/2*c_1001_5^10 - 4*c_1001_5^9 - 19/2*c_1001_5^8 - 5/2*c_1001_5^7 + 13*c_1001_5^6 + 23*c_1001_5^5 + 13/2*c_1001_5^4 - 18*c_1001_5^3 - 19*c_1001_5^2 - 8*c_1001_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB