Magma V2.19-8 Wed Aug 21 2013 00:54:57 on localhost [Seed = 3330333882] Type ? for help. Type -D to quit. Loading file "L12n795__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n795 geometric_solution 12.06512405 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 1 -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 1 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 0 0 0.198313179833 1.139211467859 0 5 6 2 0132 0132 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 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 0.319586207396 0.879939809089 7 0 8 1 0132 0132 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 -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 0.834968980643 1.192772933477 9 10 11 0 0132 0132 0132 0132 1 1 1 0 0 0 1 -1 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 1 -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 0.596600240229 0.541381655398 12 6 0 7 0132 0132 0132 0213 1 1 1 1 0 0 1 -1 -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 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 0.416454604972 0.966795270570 7 1 6 11 1023 0132 3201 3012 1 1 1 1 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 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 0.085458873930 0.558965967883 5 4 10 1 2310 0132 0321 0132 1 1 1 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 0 0 0 0 0 -1 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 0.274152209239 0.673978167345 2 5 9 4 0132 1023 0321 0213 1 1 1 1 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 -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 0.318272691183 1.075920953768 12 11 10 2 2310 3012 1302 0132 1 1 1 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 1 0 -1 -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 0.166218160332 0.533455773418 3 10 7 12 0132 0321 0321 2103 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 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 0.785559827745 0.411608174432 8 3 6 9 2031 0132 0321 0321 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 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518433149386 1.314173251759 8 12 5 3 1230 2103 1230 0132 1 1 0 1 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 0 0 0 0 0 1 -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 0.475506265195 0.493388527156 4 11 8 9 0132 2103 3201 2103 0 1 1 1 0 -1 0 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 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 1.308799109736 1.764789834495 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_5'], 'c_1100_10' : d['c_1001_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_8']), '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0101_1']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_5, c_1001_0, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 8615/1286*c_1001_6^5 + 43793/5144*c_1001_6^4 - 71073/5144*c_1001_6^3 - 28253/5144*c_1001_6^2 + 53525/5144*c_1001_6 + 24671/5144, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 510/643*c_1001_6^5 + 2153/643*c_1001_6^4 - 4869/643*c_1001_6^3 + 6305/643*c_1001_6^2 - 4358/643*c_1001_6 + 1021/643, c_0011_8 + 385/1286*c_1001_6^5 - 333/1286*c_1001_6^4 + 593/1286*c_1001_6^3 + 1601/1286*c_1001_6^2 - 1955/1286*c_1001_6 + 141/643, c_0101_0 + 875/1286*c_1001_6^5 - 3095/1286*c_1001_6^4 + 6141/1286*c_1001_6^3 - 5831/1286*c_1001_6^2 + 1753/1286*c_1001_6 + 262/643, c_0101_1 + 2435/1286*c_1001_6^5 - 7033/1286*c_1001_6^4 + 13621/1286*c_1001_6^3 - 13089/1286*c_1001_6^2 + 4871/1286*c_1001_6 - 127/643, c_0101_10 + 1835/1286*c_1001_6^5 - 6013/1286*c_1001_6^4 + 12129/1286*c_1001_6^3 - 13463/1286*c_1001_6^2 + 7233/1286*c_1001_6 - 1115/643, c_0101_11 + 815/1286*c_1001_6^5 - 1707/1286*c_1001_6^4 + 2391/1286*c_1001_6^3 - 853/1286*c_1001_6^2 - 1483/1286*c_1001_6 - 94/643, c_0101_12 + 300/643*c_1001_6^5 - 510/643*c_1001_6^4 + 746/643*c_1001_6^3 + 187/643*c_1001_6^2 - 538/643*c_1001_6 - 298/643, c_0110_5 + 1325/643*c_1001_6^5 - 3860/643*c_1001_6^4 + 7260/643*c_1001_6^3 - 7158/643*c_1001_6^2 + 2875/643*c_1001_6 - 566/643, c_1001_0 - 300/643*c_1001_6^5 + 510/643*c_1001_6^4 - 746/643*c_1001_6^3 - 187/643*c_1001_6^2 + 538/643*c_1001_6 - 345/643, c_1001_3 - 1835/1286*c_1001_6^5 + 6013/1286*c_1001_6^4 - 12129/1286*c_1001_6^3 + 13463/1286*c_1001_6^2 - 5947/1286*c_1001_6 + 472/643, c_1001_6^6 - 19/5*c_1001_6^5 + 41/5*c_1001_6^4 - 53/5*c_1001_6^3 + 37/5*c_1001_6^2 - 14/5*c_1001_6 + 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.680 seconds, Total memory usage: 32.09MB