Magma V2.19-8 Tue Aug 20 2013 23:56:44 on localhost [Seed = 172777998] Type ? for help. Type -D to quit. Loading file "L14n24612__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24612 geometric_solution 10.86293058 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 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 -1 0 1 0 0 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412109381447 0.488266809697 0 4 5 3 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864328542430 0.850054752715 6 0 7 0 0132 0132 0132 1023 1 1 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 0 -1 0 0 1 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412109381447 0.488266809697 8 5 1 0 0132 1023 0132 0132 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 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 -0.068957292886 0.926590695903 9 1 7 6 0132 0132 0213 1302 1 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 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 1.016262888367 0.696333004186 3 6 7 1 1023 1302 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.079874043798 1.073280906624 2 10 4 5 0132 0132 2031 2031 0 1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286463841347 1.465739588818 11 4 5 2 0132 0213 1023 0132 1 1 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068957292886 0.926590695903 3 11 9 9 0132 2103 2031 3012 0 1 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 0 0 0 1 0 -2 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 0.656320508198 0.816989401664 4 10 8 8 0132 1023 1230 1302 1 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 -1 -1 2 -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 0.656320508198 0.816989401664 9 6 11 11 1023 0132 3120 2103 0 1 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 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 0.656320508198 0.816989401664 7 8 10 10 0132 2103 3120 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656320508198 0.816989401664 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_9']), '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' : 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' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0101_9']), '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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_11'], 'c_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_0'], '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_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], '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_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 475/1638*c_1100_0^3 - 6322/819*c_1100_0^2 - 1487/91*c_1100_0 - 8075/1638, c_0011_0 - 1, c_0011_11 - 20/39*c_1100_0^3 - 515/39*c_1100_0^2 - 688/39*c_1100_0 - 5/13, c_0011_3 + 14/39*c_1100_0^3 + 367/39*c_1100_0^2 + 216/13*c_1100_0 + 160/39, c_0101_0 - 1, c_0101_1 - 5/39*c_1100_0^3 - 44/13*c_1100_0^2 - 263/39*c_1100_0 - 59/39, c_0101_10 - 8/39*c_1100_0^3 - 206/39*c_1100_0^2 - 283/39*c_1100_0 - 15/13, c_0101_11 - 8/39*c_1100_0^3 - 206/39*c_1100_0^2 - 283/39*c_1100_0 - 2/13, c_0101_5 - 8/39*c_1100_0^3 - 206/39*c_1100_0^2 - 283/39*c_1100_0 - 15/13, c_0101_6 - 4/13*c_1100_0^3 - 103/13*c_1100_0^2 - 135/13*c_1100_0 - 16/13, c_0101_9 + 1/13*c_1100_0^3 + 74/39*c_1100_0^2 + 20/39*c_1100_0 - 53/39, c_1001_1 - 5/39*c_1100_0^3 - 44/13*c_1100_0^2 - 263/39*c_1100_0 - 20/39, c_1100_0^4 + 26*c_1100_0^3 + 41*c_1100_0^2 + 10*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 652870/3768039*c_1100_0^6 - 4085261/2512026*c_1100_0^5 + 28601516/3768039*c_1100_0^4 - 5704499/685098*c_1100_0^3 + 23800201/7536078*c_1100_0^2 - 6431251/7536078*c_1100_0 + 242504/3768039, c_0011_0 - 1, c_0011_11 - 218528/114183*c_1100_0^6 + 719474/38061*c_1100_0^5 - 10660588/114183*c_1100_0^4 + 15945928/114183*c_1100_0^3 - 12633409/114183*c_1100_0^2 + 7051084/114183*c_1100_0 - 3840139/114183, c_0011_3 - 218528/114183*c_1100_0^6 + 719474/38061*c_1100_0^5 - 10660588/114183*c_1100_0^4 + 15945928/114183*c_1100_0^3 - 12633409/114183*c_1100_0^2 + 7051084/114183*c_1100_0 - 3840139/114183, c_0101_0 - 1, c_0101_1 - 1126/12687*c_1100_0^6 + 3589/4229*c_1100_0^5 - 51845/12687*c_1100_0^4 + 68339/12687*c_1100_0^3 - 54839/12687*c_1100_0^2 + 22055/12687*c_1100_0 - 12941/12687, c_0101_10 + 4276/114183*c_1100_0^6 - 11173/38061*c_1100_0^5 + 132095/114183*c_1100_0^4 + 25297/114183*c_1100_0^3 + 19682/114183*c_1100_0^2 - 93737/114183*c_1100_0 + 31499/114183, c_0101_11 - 1, c_0101_5 + 16724/114183*c_1100_0^6 - 56303/38061*c_1100_0^5 + 851179/114183*c_1100_0^4 - 1392916/114183*c_1100_0^3 + 1196485/114183*c_1100_0^2 - 768982/114183*c_1100_0 + 320587/114183, c_0101_6 - 1126/12687*c_1100_0^6 + 3589/4229*c_1100_0^5 - 51845/12687*c_1100_0^4 + 68339/12687*c_1100_0^3 - 54839/12687*c_1100_0^2 + 22055/12687*c_1100_0 - 12941/12687, c_0101_9 + 58681/38061*c_1100_0^6 - 193270/12687*c_1100_0^5 + 2866574/38061*c_1100_0^4 - 4308041/38061*c_1100_0^3 + 3475754/38061*c_1100_0^2 - 1941851/38061*c_1100_0 + 1041470/38061, c_1001_1 + 8626/114183*c_1100_0^6 - 29500/38061*c_1100_0^5 + 448325/114183*c_1100_0^4 - 749798/114183*c_1100_0^3 + 580712/114183*c_1100_0^2 - 486944/114183*c_1100_0 + 252869/114183, c_1100_0^7 - 10*c_1100_0^6 + 50*c_1100_0^5 - 79*c_1100_0^4 + 67*c_1100_0^3 - 40*c_1100_0^2 + 22*c_1100_0 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB