Magma V2.19-8 Tue Aug 20 2013 23:38:57 on localhost [Seed = 3549804464] Type ? for help. Type -D to quit. Loading file "K12n41__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n41 geometric_solution 9.86996797 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 0132 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 0 0 1 -1 1 0 -5 4 -1 -4 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395833241687 0.698942215872 0 0 5 4 0132 1230 0132 0132 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 5 -5 0 -1 0 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707838403955 0.818876801366 6 0 7 7 0132 0132 3201 0132 0 0 0 0 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 -4 4 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570991835415 0.545237332675 8 6 0 7 0132 3201 0132 0213 0 0 0 0 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 -1 1 0 0 0 -4 4 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028853044175 0.957374351920 9 5 1 8 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129181241140 1.342381679815 4 10 9 1 1023 0132 0132 0132 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 -5 5 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 0.316394058565 0.523209986159 2 7 3 10 0132 2103 2310 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 0 0 0 0 0 -5 5 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470012932233 0.500005254649 2 6 2 3 2310 2103 0132 0213 0 0 0 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 0 0 4 0 -4 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 -0.020418680392 1.275300020823 3 10 9 4 0132 2310 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.043491076387 1.184779737192 4 10 8 5 0132 1023 1023 0132 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344706431062 0.879936503667 9 5 6 8 1023 0132 0132 3201 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 5 0 -5 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 -0.939403987419 0.874246431731 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1100_9' : d['c_1100_1'], 'c_1100_8' : negation(d['c_1100_1']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_7']), 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_0101_9'], '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : negation(d['c_0101_9']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_9, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 349/161*c_1100_1^9 + 1290/161*c_1100_1^8 + 12288/805*c_1100_1^7 + 21989/805*c_1100_1^6 + 6392/161*c_1100_1^5 + 3568/115*c_1100_1^4 + 2264/161*c_1100_1^3 + 3902/805*c_1100_1^2 + 2176/805*c_1100_1 + 1066/805, c_0011_0 - 1, c_0011_10 + 57/115*c_1100_1^9 + 132/115*c_1100_1^8 + 231/115*c_1100_1^7 + 533/115*c_1100_1^6 + 627/115*c_1100_1^5 + 429/115*c_1100_1^4 + 683/115*c_1100_1^3 + 198/115*c_1100_1^2 + 148/115*c_1100_1 + 216/115, c_0011_3 + 3/23*c_1100_1^9 + 13/23*c_1100_1^8 + 17/23*c_1100_1^7 + 22/23*c_1100_1^6 + 33/23*c_1100_1^5 - 21/23*c_1100_1^4 - 73/23*c_1100_1^3 - 38/23*c_1100_1^2 - 37/23*c_1100_1 - 31/23, c_0011_7 - 27/23*c_1100_1^9 - 71/23*c_1100_1^8 - 107/23*c_1100_1^7 - 221/23*c_1100_1^6 - 274/23*c_1100_1^5 - 110/23*c_1100_1^4 - 125/23*c_1100_1^3 - 95/23*c_1100_1^2 - 12/23*c_1100_1 - 20/23, c_0101_0 + 17/115*c_1100_1^9 - 3/115*c_1100_1^8 - 34/115*c_1100_1^7 + 48/115*c_1100_1^6 - 43/115*c_1100_1^5 - 96/115*c_1100_1^4 + 353/115*c_1100_1^3 + 168/115*c_1100_1^2 + 28/115*c_1100_1 + 131/115, c_0101_1 - 84/115*c_1100_1^9 - 249/115*c_1100_1^8 - 407/115*c_1100_1^7 - 846/115*c_1100_1^6 - 1154/115*c_1100_1^5 - 723/115*c_1100_1^4 - 716/115*c_1100_1^3 - 546/115*c_1100_1^2 - 91/115*c_1100_1 - 167/115, c_0101_10 - 52/115*c_1100_1^9 - 187/115*c_1100_1^8 - 356/115*c_1100_1^7 - 688/115*c_1100_1^6 - 1032/115*c_1100_1^5 - 924/115*c_1100_1^4 - 728/115*c_1100_1^3 - 568/115*c_1100_1^2 - 248/115*c_1100_1 - 191/115, c_0101_6 - 83/115*c_1100_1^9 - 168/115*c_1100_1^8 - 179/115*c_1100_1^7 - 417/115*c_1100_1^6 - 338/115*c_1100_1^5 + 374/115*c_1100_1^4 + 103/115*c_1100_1^3 + 93/115*c_1100_1^2 + 188/115*c_1100_1 - 24/115, c_0101_9 + 44/115*c_1100_1^9 + 114/115*c_1100_1^8 + 142/115*c_1100_1^7 + 246/115*c_1100_1^6 + 254/115*c_1100_1^5 - 147/115*c_1100_1^4 - 304/115*c_1100_1^3 - 174/115*c_1100_1^2 - 144/115*c_1100_1 - 148/115, c_1001_1 - 101/115*c_1100_1^9 - 361/115*c_1100_1^8 - 603/115*c_1100_1^7 - 1124/115*c_1100_1^6 - 1686/115*c_1100_1^5 - 1087/115*c_1100_1^4 - 609/115*c_1100_1^3 - 714/115*c_1100_1^2 - 119/115*c_1100_1 - 68/115, c_1100_1^10 + 3*c_1100_1^9 + 5*c_1100_1^8 + 10*c_1100_1^7 + 14*c_1100_1^6 + 9*c_1100_1^5 + 8*c_1100_1^4 + 7*c_1100_1^3 + 2*c_1100_1^2 + c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB