Magma V2.19-8 Wed Aug 21 2013 00:54:25 on localhost [Seed = 1191271711] Type ? for help. Type -D to quit. Loading file "L12n231__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n231 geometric_solution 12.12112015 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -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 0.693952263959 0.869120547495 0 5 3 6 0132 0132 3012 0132 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 -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 0.577320350050 0.652876042353 4 0 7 4 3201 0132 0132 1230 0 1 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 0 0 0 0 1 0 -1 -2 0 -1 3 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548377809014 0.964759323440 8 1 5 0 0132 1230 3201 0132 0 0 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 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 0.577320350050 0.652876042353 2 9 0 2 3012 0132 0132 2310 0 0 1 0 0 0 0 0 1 0 -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 -1 1 1 0 0 -1 -3 1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548377809014 0.964759323440 3 1 10 11 2310 0132 0132 0132 1 1 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 -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 0.667777822528 0.548732366083 8 12 1 7 2103 0132 0132 3012 1 0 1 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 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 0.984147828143 1.508019929056 11 10 6 2 1230 2031 1230 0132 0 1 0 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 0 0 0 0 -1 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 1.000000000000 1.000000000000 3 10 6 11 0132 0213 2103 2310 1 0 1 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 -1 1 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 0.640818478883 0.446593321980 12 4 12 10 0321 0132 2031 2031 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 0 0 0 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 0.435346693328 0.760296822644 7 9 8 5 1302 1302 0213 0132 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 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 0.760296822644 0.564653306672 8 7 5 12 3201 3012 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 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 1.423344765620 0.557683405453 9 6 11 9 0321 0132 0132 1302 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 -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 0.432830680084 0.990514085537 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_11']), 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : negation(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_11'], 'c_0101_10' : negation(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' : negation(d['1']), 's_2_5' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0101_12'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_4'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], '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_0101_11']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0101_11']), '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_0011_4'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11']})} 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_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 63296387/64650100*c_1001_5^5 - 386849827/64650100*c_1001_5^4 - 6964059/436825*c_1001_5^3 - 814273471/32325050*c_1001_5^2 - 1849696737/64650100*c_1001_5 - 413942061/32325050, c_0011_0 - 1, c_0011_10 - 5540/23701*c_1001_5^5 - 30746/23701*c_1001_5^4 - 76356/23701*c_1001_5^3 - 116956/23701*c_1001_5^2 - 136304/23701*c_1001_5 - 53016/23701, c_0011_11 + 28/173*c_1001_5^5 + 183/173*c_1001_5^4 + 441/173*c_1001_5^3 + 575/173*c_1001_5^2 + 552/173*c_1001_5 + 27/173, c_0011_12 - 39/173*c_1001_5^5 - 224/173*c_1001_5^4 - 571/173*c_1001_5^3 - 943/173*c_1001_5^2 - 843/173*c_1001_5 - 328/173, c_0011_3 + 1, c_0011_4 - 8/173*c_1001_5^5 - 77/173*c_1001_5^4 - 299/173*c_1001_5^3 - 535/173*c_1001_5^2 - 652/173*c_1001_5 - 329/173, c_0101_0 - 1430/23701*c_1001_5^5 - 8963/23701*c_1001_5^4 - 23474/23701*c_1001_5^3 - 37633/23701*c_1001_5^2 - 62050/23701*c_1001_5 - 20273/23701, c_0101_1 - 2494/23701*c_1001_5^5 - 12284/23701*c_1001_5^4 - 27084/23701*c_1001_5^3 - 35436/23701*c_1001_5^2 - 35624/23701*c_1001_5 - 3999/23701, c_0101_11 - 21/173*c_1001_5^5 - 94/173*c_1001_5^4 - 201/173*c_1001_5^3 - 215/173*c_1001_5^2 - 241/173*c_1001_5 - 150/173, c_0101_12 - 62/173*c_1001_5^5 - 294/173*c_1001_5^4 - 717/173*c_1001_5^3 - 989/173*c_1001_5^2 - 901/173*c_1001_5 - 344/173, c_0101_5 + 30/173*c_1001_5^5 + 159/173*c_1001_5^4 + 386/173*c_1001_5^3 + 579/173*c_1001_5^2 + 715/173*c_1001_5 + 239/173, c_0101_7 + 25/173*c_1001_5^5 + 219/173*c_1001_5^4 + 610/173*c_1001_5^3 + 915/173*c_1001_5^2 + 913/173*c_1001_5 + 228/173, c_1001_5^6 + 6*c_1001_5^5 + 16*c_1001_5^4 + 26*c_1001_5^3 + 31*c_1001_5^2 + 16*c_1001_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.580 Total time: 0.780 seconds, Total memory usage: 32.09MB