Magma V2.19-8 Tue Aug 20 2013 23:42:41 on localhost [Seed = 3035812343] Type ? for help. Type -D to quit. Loading file "L13n4798__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4798 geometric_solution 9.02008237 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 -1 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 0 0 0 0 0 -7 1 6 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088788524673 1.038802514810 0 2 6 5 0132 2310 0132 0132 1 1 1 1 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544163427750 0.589120486148 6 0 7 1 2310 0132 0132 3201 1 1 1 1 0 1 0 -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 7 0 -7 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286178643897 0.610775537957 5 6 8 0 0132 2103 0132 0132 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 1 0 -1 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 0.143796053410 0.641047956714 9 9 0 9 0132 1230 0132 2031 1 1 0 1 0 0 -1 1 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 0 -6 6 0 0 0 0 -3 -1 0 4 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521118449568 0.866904176663 3 10 1 7 0132 0132 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.699489066188 1.270537968494 10 3 2 1 3012 2103 3201 0132 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.604423901445 0.211598303778 10 8 5 2 0321 3012 0132 0132 1 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 0 0 0 0 0 0 0 -1 -6 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444933803197 0.489292067103 7 10 9 3 1230 1230 2031 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.509358736702 0.847341360937 4 4 4 8 0132 1302 3012 1302 1 1 1 0 0 0 -1 1 0 0 0 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 -6 6 0 0 0 0 6 -6 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490641263298 0.847341360937 7 5 8 6 0321 0132 3012 1230 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 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 -0.333154450932 1.485214475468 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : 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_1100_9' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_1010_9']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_9']), 'c_1100_3' : negation(d['c_1010_9']), 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0011_6'], 'c_1100_8' : negation(d['c_1010_9']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(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_4']), 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_1001_0, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1003037/337018880*c_1010_9^7 - 3884281/168509440*c_1010_9^6 - 299143/4956160*c_1010_9^5 + 12490491/42127360*c_1010_9^4 - 221259/1914880*c_1010_9^3 - 377967/10531840*c_1010_9^2 - 99353/329120*c_1010_9 - 4511347/1316480, c_0011_0 - 1, c_0011_10 - 1359/1053184*c_1010_9^7 - 4459/526592*c_1010_9^6 - 269/15488*c_1010_9^5 + 17925/131648*c_1010_9^4 - 1489/5984*c_1010_9^3 + 11375/32912*c_1010_9^2 - 501/2057*c_1010_9 - 3381/4114, c_0011_4 - 1, c_0011_6 + 81/61952*c_1010_9^7 + 285/30976*c_1010_9^6 + 295/15488*c_1010_9^5 - 1203/7744*c_1010_9^4 + 43/352*c_1010_9^3 - 85/1936*c_1010_9^2 + 107/242*c_1010_9 + 131/242, c_0011_8 - 395/526592*c_1010_9^7 - 2071/263296*c_1010_9^6 - 221/7744*c_1010_9^5 + 3321/65824*c_1010_9^4 + 635/2992*c_1010_9^3 - 6723/16456*c_1010_9^2 + 13/2057*c_1010_9 - 960/2057, c_0101_0 + 751/263296*c_1010_9^7 + 655/32912*c_1010_9^6 + 23/484*c_1010_9^5 - 9397/32912*c_1010_9^4 + 171/374*c_1010_9^3 - 3955/8228*c_1010_9^2 + 5843/4114*c_1010_9 + 1984/2057, c_0101_1 + 577/526592*c_1010_9^7 + 2317/263296*c_1010_9^6 + 215/7744*c_1010_9^5 - 5549/65824*c_1010_9^4 + 95/2992*c_1010_9^3 - 5323/16456*c_1010_9^2 + 934/2057*c_1010_9 + 2548/2057, c_0101_6 - 1311/526592*c_1010_9^7 - 4801/263296*c_1010_9^6 - 361/7744*c_1010_9^5 + 15303/65824*c_1010_9^4 - 1017/2992*c_1010_9^3 + 4943/16456*c_1010_9^2 - 1566/2057*c_1010_9 - 3030/2057, c_0101_8 - 577/526592*c_1010_9^7 - 2317/263296*c_1010_9^6 - 215/7744*c_1010_9^5 + 5549/65824*c_1010_9^4 - 95/2992*c_1010_9^3 + 5323/16456*c_1010_9^2 - 2991/2057*c_1010_9 - 2548/2057, c_1001_0 - 65/65824*c_1010_9^7 - 1233/131648*c_1010_9^6 - 147/3872*c_1010_9^5 + 52/2057*c_1010_9^4 - 1/1496*c_1010_9^3 + 482/2057*c_1010_9^2 - 2179/4114*c_1010_9 - 2774/2057, c_1010_9^8 + 8*c_1010_9^7 + 24*c_1010_9^6 - 80*c_1010_9^5 + 64*c_1010_9^4 - 64*c_1010_9^3 + 320*c_1010_9^2 + 768*c_1010_9 + 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB