Magma V2.19-8 Wed Aug 21 2013 00:54:52 on localhost [Seed = 3220809215] Type ? for help. Type -D to quit. Loading file "L12n689__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n689 geometric_solution 11.64718796 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 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 0 -1 1 0 0 0 0 -1 -2 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603497066198 0.941738850331 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 1 -1 0 0 -1 1 2 -2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723496366346 0.580359437271 8 0 10 9 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -2 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722311028935 0.784714168095 11 7 12 0 0132 0132 0132 0132 1 1 1 0 0 0 0 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 -1 0 1 0 0 0 0 3 -3 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354947607670 0.887894452378 6 12 0 9 1302 3012 0132 0213 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735999028996 1.806111033591 11 1 7 12 1023 0132 0321 0321 1 1 0 1 0 0 0 0 0 0 1 -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 0 0 0 0 0 3 -3 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102130629836 0.958495171113 8 4 1 10 3120 2031 0132 3120 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 0 0 0 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 0.795891149633 0.776571519714 8 3 5 1 1023 0132 0321 0132 1 1 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 1 0 -1 -3 0 2 1 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872399555921 0.584778401993 2 7 11 6 0132 1023 3120 3120 1 1 0 1 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 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 0.654408016253 0.352096860477 10 12 2 4 2310 0213 0132 0213 1 1 1 1 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 0 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 0.772561137727 2.266021269263 6 11 9 2 3120 0321 3201 0132 1 1 0 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 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329242594952 0.247178092737 3 5 8 10 0132 1023 3120 0321 1 1 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 0 0 0 0 0 -1 1 -2 0 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584151060900 0.588397078734 4 5 9 3 1230 0321 0213 0132 1 1 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 0 0 0 0 0 0 -3 0 0 3 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145425778508 1.082058699346 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0101_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1010_9'], '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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_9'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_2']})} 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_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_0, c_1001_1, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1118789271/270217948*c_1010_9^7 - 2084880451/135108974*c_1010_9^6 + 2679647525/67554487*c_1010_9^5 - 7024010431/135108974*c_1010_9^4 + 14219838473/270217948*c_1010_9^3 - 5486313647/270217948*c_1010_9^2 + 228639855/19301282*c_1010_9 + 227847531/135108974, c_0011_0 - 1, c_0011_10 + 15363/335258*c_1010_9^7 - 89841/167629*c_1010_9^6 + 608679/335258*c_1010_9^5 - 1442099/335258*c_1010_9^4 + 2085021/335258*c_1010_9^3 - 946447/167629*c_1010_9^2 + 63570/23947*c_1010_9 + 21128/167629, c_0011_12 - 111141/335258*c_1010_9^7 + 239726/167629*c_1010_9^6 - 1389345/335258*c_1010_9^5 + 2433367/335258*c_1010_9^4 - 3074371/335258*c_1010_9^3 + 1258364/167629*c_1010_9^2 - 109327/23947*c_1010_9 + 211689/167629, c_0011_6 + 153765/670516*c_1010_9^7 - 66090/167629*c_1010_9^6 + 289305/670516*c_1010_9^5 + 948729/670516*c_1010_9^4 - 2132709/670516*c_1010_9^3 + 1655119/335258*c_1010_9^2 - 151359/47894*c_1010_9 + 684219/335258, c_0011_9 - 125649/335258*c_1010_9^7 + 225328/167629*c_1010_9^6 - 974957/335258*c_1010_9^5 + 1198383/335258*c_1010_9^4 - 953341/335258*c_1010_9^3 + 173235/167629*c_1010_9^2 + 1264/23947*c_1010_9 - 7092/167629, c_0101_0 - 1, c_0101_10 + 2025/13684*c_1010_9^7 - 14148/23947*c_1010_9^6 + 133655/95788*c_1010_9^5 - 15931/13684*c_1010_9^4 + 7957/95788*c_1010_9^3 + 72175/47894*c_1010_9^2 - 45159/47894*c_1010_9 + 26727/47894, c_0101_2 + 26955/60956*c_1010_9^7 - 34963/15239*c_1010_9^6 + 355671/60956*c_1010_9^5 - 537545/60956*c_1010_9^4 + 454413/60956*c_1010_9^3 - 90711/30478*c_1010_9^2 - 75/622*c_1010_9 - 11009/30478, c_0101_5 + 321507/670516*c_1010_9^7 - 338762/167629*c_1010_9^6 + 3714275/670516*c_1010_9^5 - 5647353/670516*c_1010_9^4 + 6204441/670516*c_1010_9^3 - 2011503/335258*c_1010_9^2 + 17943/6842*c_1010_9 - 236289/335258, c_0101_8 + 125649/335258*c_1010_9^7 - 225328/167629*c_1010_9^6 + 974957/335258*c_1010_9^5 - 1198383/335258*c_1010_9^4 + 953341/335258*c_1010_9^3 - 173235/167629*c_1010_9^2 - 1264/23947*c_1010_9 + 7092/167629, c_1001_0 + 62694/167629*c_1010_9^7 - 198045/167629*c_1010_9^6 + 392328/167629*c_1010_9^5 - 347626/167629*c_1010_9^4 + 264732/167629*c_1010_9^3 - 169894/167629*c_1010_9^2 + 30880/23947*c_1010_9 - 80287/167629, c_1001_1 - 1, c_1010_9^8 - 49/9*c_1010_9^7 + 149/9*c_1010_9^6 - 92/3*c_1010_9^5 + 346/9*c_1010_9^4 - 281/9*c_1010_9^3 + 152/9*c_1010_9^2 - 20/3*c_1010_9 + 26/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB