Magma V2.19-8 Tue Aug 20 2013 23:53:26 on localhost [Seed = 2951332954] Type ? for help. Type -D to quit. Loading file "L13n5942__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5942 geometric_solution 11.05025416 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 -3 0 4 -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 0.695979793791 0.913386445286 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -3 3 0 3 0 0 -3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573201444384 0.954566194382 8 0 10 9 0132 0132 0132 0132 1 1 1 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 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 0.430068216625 0.817318294562 11 8 10 0 0132 1302 1302 0132 1 1 1 0 0 0 0 0 -1 0 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411355802731 0.331752330451 5 8 0 9 0132 0132 0132 2031 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 -1 1 0 0 0 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 0.684870830380 1.159651414639 4 1 8 7 0132 0132 3120 3120 1 1 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 3 1 -4 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 0.198819398965 0.594139532189 11 9 1 7 2103 3012 0132 3012 1 1 1 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 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 0 0 0 0 0 0 0.360251178256 1.364479023341 5 11 6 1 3120 0321 1230 0132 1 1 0 1 0 0 -1 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 0 3 -3 0 0 0 0 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529266609731 0.485082906845 2 4 5 3 0132 0132 3120 2031 1 1 0 1 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 -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 0.574046877262 0.823219599974 6 4 2 10 1230 1302 0132 1302 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 -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 0.563967718413 0.567798399839 3 11 9 2 2031 3120 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551108595325 0.226242027785 3 10 6 7 0132 3120 2103 0321 1 1 0 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 0 0 0 0 0 0 -4 0 0 4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546148771343 0.692146728603 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0110_6']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), '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_0'], '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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : d['c_0110_6'], 'c_1100_1' : d['c_0110_6'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_5']), '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' : 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_0']), 'c_0011_7' : d['c_0011_10'], '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_11']), '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_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 33636289/21512704*c_0110_6^9 - 242206735/21512704*c_0110_6^8 + 197399641/10756352*c_0110_6^7 + 28317227/10756352*c_0110_6^6 + 183230313/5378176*c_0110_6^5 - 105411219/5378176*c_0110_6^4 + 580675213/10756352*c_0110_6^3 - 255600633/10756352*c_0110_6^2 - 1022123409/21512704*c_0110_6 + 838482039/21512704, c_0011_0 - 1, c_0011_10 + 62945/672272*c_0110_6^9 - 229809/336136*c_0110_6^8 + 197537/168068*c_0110_6^7 - 8019/336136*c_0110_6^6 + 752501/336136*c_0110_6^5 - 586129/336136*c_0110_6^4 + 642281/168068*c_0110_6^3 - 709651/336136*c_0110_6^2 - 222043/672272*c_0110_6 + 71455/84034, c_0011_11 + 9281/672272*c_0110_6^9 - 16561/336136*c_0110_6^8 - 8392/42017*c_0110_6^7 + 209715/336136*c_0110_6^6 + 100201/336136*c_0110_6^5 + 422075/336136*c_0110_6^4 - 66649/84034*c_0110_6^3 + 684291/336136*c_0110_6^2 - 1343571/672272*c_0110_6 + 12545/84034, c_0011_6 - 5165/336136*c_0110_6^9 + 23957/168068*c_0110_6^8 - 31829/84034*c_0110_6^7 + 21271/168068*c_0110_6^6 + 3009/168068*c_0110_6^5 + 204475/168068*c_0110_6^4 - 23406/42017*c_0110_6^3 + 181969/168068*c_0110_6^2 + 208543/336136*c_0110_6 - 65396/42017, c_0011_9 + 17279/336136*c_0110_6^9 - 125775/336136*c_0110_6^8 + 207931/336136*c_0110_6^7 + 38593/336136*c_0110_6^6 + 370597/336136*c_0110_6^5 - 324185/336136*c_0110_6^4 + 458425/336136*c_0110_6^3 - 267837/336136*c_0110_6^2 - 124017/84034*c_0110_6 + 27385/42017, c_0101_0 - 1, c_0101_1 + 25649/336136*c_0110_6^9 - 184629/336136*c_0110_6^8 + 311017/336136*c_0110_6^7 - 42387/336136*c_0110_6^6 + 772473/336136*c_0110_6^5 - 502299/336136*c_0110_6^4 + 1203999/336136*c_0110_6^3 - 828321/336136*c_0110_6^2 + 73773/168068*c_0110_6 - 14736/42017, c_0101_10 - 17279/336136*c_0110_6^9 + 125775/336136*c_0110_6^8 - 207931/336136*c_0110_6^7 - 38593/336136*c_0110_6^6 - 370597/336136*c_0110_6^5 + 324185/336136*c_0110_6^4 - 458425/336136*c_0110_6^3 + 267837/336136*c_0110_6^2 + 124017/84034*c_0110_6 - 27385/42017, c_0101_2 + 1, c_0101_5 - 13709/672272*c_0110_6^9 + 39719/336136*c_0110_6^8 - 2367/84034*c_0110_6^7 - 134079/336136*c_0110_6^6 - 169095/336136*c_0110_6^5 - 52921/336136*c_0110_6^4 - 19115/84034*c_0110_6^3 - 273631/336136*c_0110_6^2 + 472851/672272*c_0110_6 + 18955/84034, c_0101_7 - 16581/336136*c_0110_6^9 + 110807/336136*c_0110_6^8 - 138613/336136*c_0110_6^7 - 84301/336136*c_0110_6^6 - 463807/336136*c_0110_6^5 + 62129/336136*c_0110_6^4 - 586887/336136*c_0110_6^3 + 36041/336136*c_0110_6^2 + 101397/84034*c_0110_6 - 22444/42017, c_0110_6^10 - 7*c_0110_6^9 + 10*c_0110_6^8 + 6*c_0110_6^7 + 20*c_0110_6^6 - 12*c_0110_6^5 + 26*c_0110_6^4 - 2*c_0110_6^3 - 33*c_0110_6^2 + 15*c_0110_6 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB