Magma V2.19-8 Tue Aug 20 2013 23:56:40 on localhost [Seed = 2244210054] Type ? for help. Type -D to quit. Loading file "L14n24288__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24288 geometric_solution 11.79145694 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 0 1 0 0 -1 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 0.428123267102 1.112377445226 0 5 7 6 0132 0132 0132 0132 0 0 0 1 0 -1 0 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 -1 0 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 0.484475349053 1.002977510378 7 0 3 8 0132 0132 0213 0132 1 0 0 1 0 0 0 0 0 0 0 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 1 0 -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 0.515303437328 0.549368472925 4 2 5 0 0213 0213 2031 0132 1 0 0 1 0 0 0 0 -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 -2 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 0.130840958254 0.639174106734 3 5 0 7 0213 2031 0132 2031 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698647589413 0.782993241339 4 1 9 3 1302 0132 0132 1302 0 1 1 0 0 1 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 0 0 0 0 1 0 -1 -1 0 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 0.515303437328 0.549368472925 7 10 1 11 2310 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511603757848 0.967156567671 2 4 6 1 0132 1302 3201 0132 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484475349053 1.002977510378 9 10 2 10 1023 1230 0132 1023 1 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 1 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277823122772 0.981690579058 11 8 11 5 1230 1023 3201 0132 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 -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 0.277823122772 0.981690579058 11 6 8 8 3201 0132 3012 1023 0 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 -1 1 0 -1 0 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 0.486230627885 0.660957227647 9 9 6 10 2310 3012 0132 2310 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 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 0.486230627885 0.660957227647 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0110_8'], '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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0110_8'], 'c_1010_8' : d['c_0101_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : 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_8'], '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_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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_11']})} 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_8, c_0101_0, c_0101_10, c_0101_11, c_0110_5, c_0110_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 4871549056/148393*c_1001_1^10 - 14026180928/148393*c_1001_1^9 - 29712277440/148393*c_1001_1^8 - 40656917872/148393*c_1001_1^7 - 40704718552/148393*c_1001_1^6 - 4336901816/21199*c_1001_1^5 - 14306508680/148393*c_1001_1^4 - 3816110216/148393*c_1001_1^3 + 429975684/148393*c_1001_1^2 + 381556852/148393*c_1001_1 + 95405810/148393, c_0011_0 - 1, c_0011_10 + 68688/6235*c_1001_1^10 + 210216/6235*c_1001_1^9 + 93512/1247*c_1001_1^8 + 681654/6235*c_1001_1^7 + 737619/6235*c_1001_1^6 + 119279/1247*c_1001_1^5 + 325739/6235*c_1001_1^4 + 20856/1247*c_1001_1^3 + 7921/12470*c_1001_1^2 - 44121/12470*c_1001_1 - 18807/24940, c_0011_11 + 19776/1247*c_1001_1^10 + 58432/1247*c_1001_1^9 + 127184/1247*c_1001_1^8 + 181992/1247*c_1001_1^7 + 193096/1247*c_1001_1^6 + 155446/1247*c_1001_1^5 + 84646/1247*c_1001_1^4 + 27362/1247*c_1001_1^3 + 993/1247*c_1001_1^2 - 4545/1247*c_1001_1 - 1155/1247, c_0011_3 - c_1001_1, c_0011_8 + 183424/6235*c_1001_1^10 + 715008/6235*c_1001_1^9 + 344896/1247*c_1001_1^8 + 2813632/6235*c_1001_1^7 + 3362992/6235*c_1001_1^6 + 596200/1247*c_1001_1^5 + 1907342/6235*c_1001_1^4 + 159342/1247*c_1001_1^3 + 139334/6235*c_1001_1^2 - 34419/6235*c_1001_1 - 14599/6235, c_0101_0 - 1, c_0101_10 - 45376/1247*c_1001_1^10 - 138592/1247*c_1001_1^9 - 293696/1247*c_1001_1^8 - 409832/1247*c_1001_1^7 - 414212/1247*c_1001_1^6 - 305136/1247*c_1001_1^5 - 148182/1247*c_1001_1^4 - 32620/1247*c_1001_1^3 + 3666/1247*c_1001_1^2 + 4024/1247*c_1001_1 + 253/1247, c_0101_11 - 300912/6235*c_1001_1^10 - 984504/6235*c_1001_1^9 - 439416/1247*c_1001_1^8 - 3256226/6235*c_1001_1^7 - 3549921/6235*c_1001_1^6 - 574665/1247*c_1001_1^5 - 1622831/6235*c_1001_1^4 - 111638/1247*c_1001_1^3 - 111159/12470*c_1001_1^2 + 83149/12470*c_1001_1 + 30733/24940, c_0110_5 - 10784/1247*c_1001_1^10 - 31024/1247*c_1001_1^9 - 62736/1247*c_1001_1^8 - 85004/1247*c_1001_1^7 - 81866/1247*c_1001_1^6 - 61202/1247*c_1001_1^5 - 30730/1247*c_1001_1^4 - 9513/1247*c_1001_1^3 - 2073/1247*c_1001_1^2 - 857/1247*c_1001_1 + 309/1247, c_0110_8 - 300912/6235*c_1001_1^10 - 984504/6235*c_1001_1^9 - 439416/1247*c_1001_1^8 - 3256226/6235*c_1001_1^7 - 3549921/6235*c_1001_1^6 - 574665/1247*c_1001_1^5 - 1622831/6235*c_1001_1^4 - 111638/1247*c_1001_1^3 - 111159/12470*c_1001_1^2 + 83149/12470*c_1001_1 + 30733/24940, c_1001_0 + 19776/1247*c_1001_1^10 + 58432/1247*c_1001_1^9 + 127184/1247*c_1001_1^8 + 181992/1247*c_1001_1^7 + 193096/1247*c_1001_1^6 + 155446/1247*c_1001_1^5 + 84646/1247*c_1001_1^4 + 27362/1247*c_1001_1^3 + 993/1247*c_1001_1^2 - 4545/1247*c_1001_1 - 1155/1247, c_1001_1^11 + 7/2*c_1001_1^10 + 8*c_1001_1^9 + 99/8*c_1001_1^8 + 225/16*c_1001_1^7 + 12*c_1001_1^6 + 59/8*c_1001_1^5 + 47/16*c_1001_1^4 + 17/32*c_1001_1^3 - 1/8*c_1001_1^2 - 5/64*c_1001_1 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB