Magma V2.19-8 Wed Aug 21 2013 01:07:35 on localhost [Seed = 3785881845] Type ? for help. Type -D to quit. Loading file "L14n33502__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33502 geometric_solution 11.41582959 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 1 0 -1 1 0 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 -2 -1 3 -2 0 0 2 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079747727945 0.820160193139 0 5 3 6 0132 0132 2103 0132 1 0 1 1 0 0 1 -1 -1 0 1 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 3 -3 2 0 -3 1 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097028666943 1.847432177883 7 0 9 8 0132 0132 0132 0132 0 1 1 1 0 -1 1 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 2 -2 0 -2 0 -1 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 0.213551050049 0.436914292890 1 10 11 0 2103 0132 0132 0132 0 0 1 1 0 0 0 0 -1 0 1 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 -1 1 3 0 -3 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955205327426 0.851462434942 11 10 0 9 0132 1023 0132 3012 0 0 1 1 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 3 -3 0 0 0 -2 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834974901268 0.609999400196 7 1 7 8 1023 0132 3120 3120 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.028350892314 0.539802847786 11 7 1 12 1023 0321 0132 0132 1 0 1 1 0 0 1 -1 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 3 -3 1 0 -1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762366727544 0.400182207903 2 5 5 6 0132 1023 3120 0321 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 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097028666943 1.847432177883 5 9 2 12 3120 3012 0132 2031 0 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 -3 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971649107686 0.539802847786 8 10 4 2 1230 1230 1230 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 0 -2 2 -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 0.935386094577 1.449891249804 4 3 9 12 1023 0132 3012 1230 0 0 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 0 0 -3 0 0 3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834974901268 0.609999400196 4 6 12 3 0132 1023 1230 0132 0 0 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 -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 0.955205327426 0.851462434942 10 8 6 11 3012 1302 0132 3012 1 0 0 1 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 -3 3 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605617590310 0.539747039937 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0110_12'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_0110_12'], 'c_1100_3' : d['c_0110_12'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : d['c_0110_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : negation(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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_0']), '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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), '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_0011_10'], 'c_0110_8' : d['c_0110_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_12']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0110_12, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 293916/16211*c_0110_5^5 + 10561947/81055*c_0110_5^4 + 333984/1247*c_0110_5^3 + 427977816/2026375*c_0110_5^2 + 17719149/405275*c_0110_5 - 226626/16211, c_0011_0 - 1, c_0011_10 - c_0110_5 - 1, c_0011_12 + 170/9*c_0110_5^5 + 142*c_0110_5^4 + 2945/9*c_0110_5^3 + 74884/225*c_0110_5^2 + 741/5*c_0110_5 + 172/9, c_0011_9 - 95/27*c_0110_5^5 - 698/27*c_0110_5^4 - 1565/27*c_0110_5^3 - 40744/675*c_0110_5^2 - 3746/135*c_0110_5 - 109/27, c_0101_0 - 1, c_0101_1 - 520/27*c_0110_5^5 - 3793/27*c_0110_5^4 - 8275/27*c_0110_5^3 - 201704/675*c_0110_5^2 - 17827/135*c_0110_5 - 518/27, c_0101_10 + 25/3*c_0110_5^5 + 530/9*c_0110_5^4 + 1085/9*c_0110_5^3 + 1651/15*c_0110_5^2 + 1946/45*c_0110_5 + 37/9, c_0101_11 + 260/27*c_0110_5^5 + 2009/27*c_0110_5^4 + 4895/27*c_0110_5^3 + 134602/675*c_0110_5^2 + 13418/135*c_0110_5 + 424/27, c_0101_12 + 640/27*c_0110_5^5 + 4726/27*c_0110_5^4 + 10525/27*c_0110_5^3 + 258203/675*c_0110_5^2 + 22324/135*c_0110_5 + 581/27, c_0101_5 - 15*c_0110_5^5 - 328/3*c_0110_5^4 - 710/3*c_0110_5^3 - 5578/25*c_0110_5^2 - 1363/15*c_0110_5 - 31/3, c_0101_7 - 15*c_0110_5^5 - 328/3*c_0110_5^4 - 710/3*c_0110_5^3 - 5578/25*c_0110_5^2 - 1363/15*c_0110_5 - 31/3, c_0110_12 + 920/27*c_0110_5^5 + 2251/9*c_0110_5^4 + 14890/27*c_0110_5^3 + 363784/675*c_0110_5^2 + 10462/45*c_0110_5 + 806/27, c_0110_5^6 + 42/5*c_0110_5^5 + 24*c_0110_5^4 + 4151/125*c_0110_5^3 + 24*c_0110_5^2 + 42/5*c_0110_5 + 1 ], 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0110_12, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 21671/26432*c_0110_12^7 - 173375/79296*c_0110_12^6 + 589511/79296*c_0110_12^5 - 73121/5664*c_0110_12^4 + 1827185/79296*c_0110_12^3 - 517775/26432*c_0110_12^2 + 29149/5664*c_0110_12 + 48773/39648, c_0011_0 - 1, c_0011_10 - 170/1239*c_0110_12^7 + 176/1239*c_0110_12^6 - 991/1239*c_0110_12^5 + 569/1239*c_0110_12^4 - 628/413*c_0110_12^3 - 2032/1239*c_0110_12^2 + 1723/1239*c_0110_12 - 178/413, c_0011_12 + 109/1239*c_0110_12^7 - 142/1239*c_0110_12^6 + 701/1239*c_0110_12^5 - 445/1239*c_0110_12^4 + 563/413*c_0110_12^3 + 851/1239*c_0110_12^2 + 229/1239*c_0110_12 + 153/413, c_0011_9 + 226/1239*c_0110_12^7 - 302/1239*c_0110_12^6 + 559/413*c_0110_12^5 - 521/413*c_0110_12^4 + 4453/1239*c_0110_12^3 - 418/1239*c_0110_12^2 + 1028/1239*c_0110_12 + 569/1239, c_0101_0 - 1, c_0101_1 - 55/1239*c_0110_12^7 + 227/1239*c_0110_12^6 - 200/413*c_0110_12^5 + 527/413*c_0110_12^4 - 2383/1239*c_0110_12^3 + 3424/1239*c_0110_12^2 - 1544/1239*c_0110_12 + 799/1239, c_0101_10 - 109/1239*c_0110_12^7 + 142/1239*c_0110_12^6 - 701/1239*c_0110_12^5 + 445/1239*c_0110_12^4 - 563/413*c_0110_12^3 - 851/1239*c_0110_12^2 - 229/1239*c_0110_12 - 153/413, c_0101_11 + 226/1239*c_0110_12^7 - 302/1239*c_0110_12^6 + 559/413*c_0110_12^5 - 521/413*c_0110_12^4 + 4453/1239*c_0110_12^3 - 418/1239*c_0110_12^2 + 1028/1239*c_0110_12 + 569/1239, c_0101_12 - 55/1239*c_0110_12^7 + 227/1239*c_0110_12^6 - 200/413*c_0110_12^5 + 527/413*c_0110_12^4 - 2383/1239*c_0110_12^3 + 3424/1239*c_0110_12^2 - 1544/1239*c_0110_12 + 799/1239, c_0101_5 - 131/1239*c_0110_12^7 + 398/1239*c_0110_12^6 - 1354/1239*c_0110_12^5 + 2399/1239*c_0110_12^4 - 1514/413*c_0110_12^3 + 3740/1239*c_0110_12^2 - 2003/1239*c_0110_12 - 487/413, c_0101_7 - 340/1239*c_0110_12^7 + 352/1239*c_0110_12^6 - 1982/1239*c_0110_12^5 + 1138/1239*c_0110_12^4 - 1256/413*c_0110_12^3 - 2825/1239*c_0110_12^2 + 3446/1239*c_0110_12 + 57/413, c_0110_12^8 - 2*c_0110_12^7 + 8*c_0110_12^6 - 11*c_0110_12^5 + 23*c_0110_12^4 - 12*c_0110_12^3 + 5*c_0110_12^2 + 2, c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.570 seconds, Total memory usage: 32.09MB