Magma V2.19-8 Tue Aug 20 2013 17:57:17 on localhost [Seed = 37991939] Type ? for help. Type -D to quit. Loading file "9^2_22__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_22 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 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 1 0 -1 1 0 -1 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 0.435138784509 0.539731122121 0 4 6 5 0132 0132 0132 0132 0 1 1 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 -6 6 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 1.143225780421 0.598444134695 7 0 7 0 0132 0132 3012 1302 1 1 1 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 -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 0.925428716898 0.884257346967 6 4 0 7 0132 3012 0132 1302 1 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 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 1.905238903272 1.397985136021 3 1 8 9 1230 0132 0132 0132 0 1 0 1 0 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 6 -6 0 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 0.992928800130 0.741261363010 10 11 1 6 0132 0132 0132 0321 0 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 7 0 -7 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 0.481405159098 0.467653626132 3 5 10 1 0132 0321 0132 0132 0 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 7 -1 -6 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 0.639368469886 1.096903161900 2 2 3 8 0132 1230 2031 1230 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 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 0.094697068021 1.122906494968 7 11 11 4 3012 0321 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 -7 1 6 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 0.415592398388 0.818552064100 10 11 4 10 2103 0213 0132 3201 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 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 0.279634858080 1.161308235867 5 9 9 6 0132 2310 2103 0132 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 0 0 0 -1 0 1 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 0.279634858080 1.161308235867 8 5 9 8 2310 0132 0213 0321 0 0 1 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 -7 0 7 -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 0.415592398388 0.818552064100 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0110_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_0011_9'], 'c_0101_10' : d['c_0011_3'], '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_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0110_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_1001_4'], '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_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], '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_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_4, c_0101_7, c_0110_9, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4844796883/1389320964*c_1001_4^11 - 14561802011/1389320964*c_1001_4^10 + 2239280479/73122156*c_1001_4^9 - 3819076675/115776747*c_1001_4^8 + 3361553411/231553494*c_1001_4^7 - 477909382/6093513*c_1001_4^6 + 42881811943/231553494*c_1001_4^5 - 99598810001/694660482*c_1001_4^4 + 9839680057/231553494*c_1001_4^3 - 46680119915/1389320964*c_1001_4^2 + 22417843127/694660482*c_1001_4 - 4118799221/1389320964, c_0011_0 - 1, c_0011_10 - 1253532/12864083*c_1001_4^11 + 3273507/12864083*c_1001_4^10 - 470791/677057*c_1001_4^9 + 6740320/12864083*c_1001_4^8 + 3923755/12864083*c_1001_4^7 + 1377073/677057*c_1001_4^6 - 49068258/12864083*c_1001_4^5 + 20578496/12864083*c_1001_4^4 + 17136374/12864083*c_1001_4^3 - 6153655/12864083*c_1001_4^2 + 7829971/12864083*c_1001_4 + 6017711/12864083, c_0011_3 - 6201388/12864083*c_1001_4^11 + 15652869/12864083*c_1001_4^10 - 2620654/677057*c_1001_4^9 + 41582857/12864083*c_1001_4^8 - 26422671/12864083*c_1001_4^7 + 7458471/677057*c_1001_4^6 - 263041310/12864083*c_1001_4^5 + 198170032/12864083*c_1001_4^4 - 91887342/12864083*c_1001_4^3 + 61652551/12864083*c_1001_4^2 - 33981639/12864083*c_1001_4 + 21916161/12864083, c_0011_8 - 2487474/12864083*c_1001_4^11 + 7215467/12864083*c_1001_4^10 - 1180263/677057*c_1001_4^9 + 24279375/12864083*c_1001_4^8 - 17387998/12864083*c_1001_4^7 + 3196414/677057*c_1001_4^6 - 126933641/12864083*c_1001_4^5 + 121982401/12864083*c_1001_4^4 - 65152592/12864083*c_1001_4^3 + 45283407/12864083*c_1001_4^2 - 26795085/12864083*c_1001_4 + 6250683/12864083, c_0011_9 + 671606/12864083*c_1001_4^11 - 2710396/12864083*c_1001_4^10 + 419873/677057*c_1001_4^9 - 13173609/12864083*c_1001_4^8 + 9019049/12864083*c_1001_4^7 - 1108269/677057*c_1001_4^6 + 42535052/12864083*c_1001_4^5 - 70334093/12864083*c_1001_4^4 + 44185503/12864083*c_1001_4^3 - 11693250/12864083*c_1001_4^2 - 3120016/12864083*c_1001_4 - 13613164/12864083, c_0101_0 - 1, c_0101_1 - 2487474/12864083*c_1001_4^11 + 7215467/12864083*c_1001_4^10 - 1180263/677057*c_1001_4^9 + 24279375/12864083*c_1001_4^8 - 17387998/12864083*c_1001_4^7 + 3196414/677057*c_1001_4^6 - 126933641/12864083*c_1001_4^5 + 121982401/12864083*c_1001_4^4 - 65152592/12864083*c_1001_4^3 + 45283407/12864083*c_1001_4^2 - 26795085/12864083*c_1001_4 + 6250683/12864083, c_0101_4 - 13498043/51456332*c_1001_4^11 + 35990343/51456332*c_1001_4^10 - 5807755/2708228*c_1001_4^9 + 24865182/12864083*c_1001_4^8 - 23475433/25728166*c_1001_4^7 + 3948323/677057*c_1001_4^6 - 297278323/25728166*c_1001_4^5 + 225771819/25728166*c_1001_4^4 - 77565431/25728166*c_1001_4^3 + 61620815/51456332*c_1001_4^2 - 11549733/25728166*c_1001_4 - 13284331/51456332, c_0101_7 - 3548147/51456332*c_1001_4^11 + 7128475/51456332*c_1001_4^10 - 1086703/2708228*c_1001_4^9 + 585807/12864083*c_1001_4^8 + 11300563/25728166*c_1001_4^7 + 751909/677057*c_1001_4^6 - 43411041/25728166*c_1001_4^5 - 18192983/25728166*c_1001_4^4 + 52739753/25728166*c_1001_4^3 - 119512813/51456332*c_1001_4^2 + 42040437/25728166*c_1001_4 + 13169269/51456332, c_0110_9 - 3944892/12864083*c_1001_4^11 + 9189777/12864083*c_1001_4^10 - 1577184/677057*c_1001_4^9 + 18843933/12864083*c_1001_4^8 - 11377528/12864083*c_1001_4^7 + 4032648/677057*c_1001_4^6 - 155774831/12864083*c_1001_4^5 + 88974545/12864083*c_1001_4^4 - 5558474/12864083*c_1001_4^3 + 6470236/12864083*c_1001_4^2 - 23130927/12864083*c_1001_4 - 2318948/12864083, c_1001_1 + 3697937/12864083*c_1001_4^11 - 9227508/12864083*c_1001_4^10 + 1545849/677057*c_1001_4^9 - 21307087/12864083*c_1001_4^8 + 12410018/12864083*c_1001_4^7 - 3643703/677057*c_1001_4^6 + 163333428/12864083*c_1001_4^5 - 99402709/12864083*c_1001_4^4 + 8554823/12864083*c_1001_4^3 - 3415633/12864083*c_1001_4^2 + 21919188/12864083*c_1001_4 + 7293896/12864083, c_1001_4^12 - 3*c_1001_4^11 + 9*c_1001_4^10 - 10*c_1001_4^9 + 6*c_1001_4^8 - 24*c_1001_4^7 + 54*c_1001_4^6 - 46*c_1001_4^5 + 22*c_1001_4^4 - 17*c_1001_4^3 + 12*c_1001_4^2 - 3*c_1001_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB