Magma V2.19-8 Tue Aug 20 2013 23:41:14 on localhost [Seed = 2050760438] Type ? for help. Type -D to quit. Loading file "L12n1072__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1072 geometric_solution 9.96524606 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 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 0 0 0 -5 -1 6 -1 0 1 0 1 -6 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.164630491808 0.689098610872 0 5 2 4 0132 0132 3201 3120 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.763490681894 0.440448153858 1 0 6 5 2310 0132 0132 1230 1 1 0 1 0 -1 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 5 -5 0 0 0 0 0 1 -1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.264986464559 0.764686264658 7 8 9 0 0132 0132 0132 0132 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 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 0 0 0 0 0 0 0.960091752957 1.416375668242 1 10 0 7 3120 0132 0132 0132 1 0 0 1 0 -1 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 6 -6 0 0 0 0 0 1 0 0 -1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317296840756 0.621285565378 2 1 8 9 3012 0132 1023 3201 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686160689549 0.776117274525 9 8 10 2 2031 1023 2103 0132 1 1 1 0 0 0 1 -1 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 0 -5 5 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162319343571 1.058840330293 3 9 4 10 0132 2031 0132 1302 1 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 6 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532746186973 0.742362165696 6 3 5 10 1023 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.110253707912 0.710308319392 7 5 6 3 1302 2310 1302 0132 1 0 1 1 0 0 0 0 0 0 -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 -1 0 1 1 0 0 -1 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582097668806 1.129043727929 6 4 7 8 2103 0132 2031 1023 1 1 1 0 0 1 -1 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.034268190813 0.926702813172 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0110_8'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : d['c_0110_8'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_5'], '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_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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(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_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0110_8'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0110_10'], 'c_1100_8' : d['c_0011_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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0110_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_10, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 117904177/199540544*c_0110_8^9 - 327345427/199540544*c_0110_8^8 + 1570702369/199540544*c_0110_8^7 - 577532967/28505792*c_0110_8^6 + 1017603647/24942568*c_0110_8^5 - 3485064489/49885136*c_0110_8^4 + 18845585243/199540544*c_0110_8^3 - 19796605571/199540544*c_0110_8^2 + 12796239059/199540544*c_0110_8 - 477509751/28505792, c_0011_0 - 1, c_0011_10 + 70963/890806*c_0110_8^9 - 12657/445403*c_0110_8^8 + 788411/890806*c_0110_8^7 - 39749/63629*c_0110_8^6 + 1274818/445403*c_0110_8^5 - 1127094/445403*c_0110_8^4 + 3826395/890806*c_0110_8^3 - 1502226/445403*c_0110_8^2 + 1578989/890806*c_0110_8 - 114938/63629, c_0011_3 + 96687/890806*c_0110_8^9 + 21779/890806*c_0110_8^8 + 498011/445403*c_0110_8^7 - 12175/63629*c_0110_8^6 + 1235228/445403*c_0110_8^5 - 467646/445403*c_0110_8^4 + 2476279/890806*c_0110_8^3 + 605335/890806*c_0110_8^2 - 258079/445403*c_0110_8 - 90587/63629, c_0011_9 - 247437/890806*c_0110_8^9 + 25636/445403*c_0110_8^8 - 2654241/890806*c_0110_8^7 + 115795/63629*c_0110_8^6 - 3942699/445403*c_0110_8^5 + 3364962/445403*c_0110_8^4 - 11022723/890806*c_0110_8^3 + 3250327/445403*c_0110_8^2 - 2311741/890806*c_0110_8 + 342287/63629, c_0101_0 - 1, c_0101_10 - 138763/890806*c_0110_8^9 + 23157/890806*c_0110_8^8 - 764661/445403*c_0110_8^7 + 59761/63629*c_0110_8^6 - 2377721/445403*c_0110_8^5 + 1768044/445403*c_0110_8^4 - 6594997/890806*c_0110_8^3 + 3226151/890806*c_0110_8^2 - 549904/445403*c_0110_8 + 177807/63629, c_0101_2 - 70963/890806*c_0110_8^9 + 12657/445403*c_0110_8^8 - 788411/890806*c_0110_8^7 + 39749/63629*c_0110_8^6 - 1274818/445403*c_0110_8^5 + 1127094/445403*c_0110_8^4 - 3826395/890806*c_0110_8^3 + 1502226/445403*c_0110_8^2 - 1578989/890806*c_0110_8 + 178567/63629, c_0101_3 + 30434/445403*c_0110_8^9 - 28887/890806*c_0110_8^8 + 621039/890806*c_0110_8^7 - 39078/63629*c_0110_8^6 + 828087/445403*c_0110_8^5 - 886806/445403*c_0110_8^4 + 978968/445403*c_0110_8^3 - 1462689/890806*c_0110_8^2 - 524551/890806*c_0110_8 - 88586/63629, c_0101_5 + 138763/890806*c_0110_8^9 - 23157/890806*c_0110_8^8 + 764661/445403*c_0110_8^7 - 59761/63629*c_0110_8^6 + 2377721/445403*c_0110_8^5 - 1768044/445403*c_0110_8^4 + 6594997/890806*c_0110_8^3 - 3226151/890806*c_0110_8^2 + 995307/445403*c_0110_8 - 177807/63629, c_0110_10 + 76991/445403*c_0110_8^9 - 29931/445403*c_0110_8^8 + 821201/445403*c_0110_8^7 - 88342/63629*c_0110_8^6 + 2487864/445403*c_0110_8^5 - 2190787/445403*c_0110_8^4 + 3614321/445403*c_0110_8^3 - 2104951/445403*c_0110_8^2 + 579597/445403*c_0110_8 - 195430/63629, c_0110_8^10 - c_0110_8^9 + 11*c_0110_8^8 - 15*c_0110_8^7 + 38*c_0110_8^6 - 52*c_0110_8^5 + 67*c_0110_8^4 - 61*c_0110_8^3 + 29*c_0110_8^2 - 27*c_0110_8 + 14 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB