Magma V2.19-8 Tue Aug 20 2013 23:45:06 on localhost [Seed = 1031493863] Type ? for help. Type -D to quit. Loading file "K13n233__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n233 geometric_solution 11.30631909 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717317775455 0.890469612385 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 -1 -2 -1 0 3 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656654299132 0.668373492996 4 0 9 8 0213 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.775539717564 0.571058206315 5 9 10 0 3120 2031 0132 0132 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 -1 0 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165198412104 1.112241409002 2 11 0 7 0213 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.272258727789 0.529166547583 7 1 8 3 0321 0132 2103 3120 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 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752580656878 0.598688736150 7 9 1 10 1302 0213 0132 0132 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 1 -1 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502623106624 0.544557461036 5 6 4 1 0321 2031 0132 0132 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 -1 0 1 0 0 -1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008459006684 1.523713362961 5 9 2 11 2103 2103 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320120119295 0.700104519313 3 8 6 2 1302 2103 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.251556983366 0.616784266663 11 11 6 3 2103 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431650741076 0.575106510831 10 4 10 8 1302 0132 2103 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.243042197837 0.783439676208 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : 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' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_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_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0110_11']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_2']), 'c_1100_8' : negation(d['c_0110_11']), '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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_7']), 'c_1100_9' : negation(d['c_0110_11']), 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_10'])})} 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_3, c_0011_7, c_0011_8, c_0011_9, c_0101_3, c_0101_5, c_0110_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/88*c_1100_0^3 - 3/176*c_1100_0^2 - 1/44*c_1100_0 - 5/88, c_0011_0 - 1, c_0011_10 + c_1100_0 - 1, c_0011_11 + c_1100_0 - 2, c_0011_3 + c_1100_0^3 - 2*c_1100_0^2 + c_1100_0 - 1, c_0011_7 - c_1100_0^3 + 2*c_1100_0^2 - c_1100_0 + 1, c_0011_8 + c_1100_0^3 - c_1100_0^2 - c_1100_0 - 1, c_0011_9 - c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0 + 1, c_0101_3 + c_1100_0^3 - c_1100_0^2, c_0101_5 - c_1100_0^2 + 3*c_1100_0 - 1, c_0110_11 + c_1100_0^3 - 2*c_1100_0^2 + 1, c_1001_2 - 1, c_1100_0^4 - 3*c_1100_0^3 + 3*c_1100_0^2 - 2*c_1100_0 + 2 ], 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_3, c_0011_7, c_0011_8, c_0011_9, c_0101_3, c_0101_5, c_0110_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 137/99*c_1100_0^3 - 35/11*c_1100_0^2 + 460/99*c_1100_0 + 488/99, c_0011_0 - 1, c_0011_10 - 2/3*c_1100_0^3 - c_1100_0^2 + 7/3*c_1100_0 - 1/3, c_0011_11 - c_1100_0 + 1, c_0011_3 - 1/3*c_1100_0^3 + 8/3*c_1100_0 - 5/3, c_0011_7 + 1/3*c_1100_0^3 - 8/3*c_1100_0 + 5/3, c_0011_8 - 4/3*c_1100_0^3 - 2*c_1100_0^2 + 14/3*c_1100_0 - 5/3, c_0011_9 - 2/3*c_1100_0^3 - c_1100_0^2 + 7/3*c_1100_0 - 1/3, c_0101_3 + c_1100_0 + 1, c_0101_5 + 1/3*c_1100_0^3 - 2/3*c_1100_0 + 2/3, c_0110_11 + 1/3*c_1100_0^3 - 2/3*c_1100_0 + 2/3, c_1001_2 + 2/3*c_1100_0^3 + c_1100_0^2 - 10/3*c_1100_0 + 4/3, c_1100_0^4 + c_1100_0^3 - 5*c_1100_0^2 + 3*c_1100_0 - 1 ], 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_3, c_0011_7, c_0011_8, c_0011_9, c_0101_3, c_0101_5, c_0110_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 15/3472*c_1100_0^4 - 53/868*c_1100_0^3 - 17/112*c_1100_0^2 - 325/3472*c_1100_0 - 116/217, c_0011_0 - 1, c_0011_10 + 3/7*c_1100_0^4 + 8/7*c_1100_0^3 + 8/7*c_1100_0^2 + 19/7*c_1100_0 + 11/7, c_0011_11 - 3/14*c_1100_0^4 - 4/7*c_1100_0^3 - 1/14*c_1100_0^2 - 5/14*c_1100_0 - 2/7, c_0011_3 + 5/14*c_1100_0^4 + 9/7*c_1100_0^3 + 25/14*c_1100_0^2 + 55/14*c_1100_0 + 29/7, c_0011_7 + 5/14*c_1100_0^4 + 9/7*c_1100_0^3 + 25/14*c_1100_0^2 + 55/14*c_1100_0 + 29/7, c_0011_8 + c_1100_0^4 + 3*c_1100_0^3 + 4*c_1100_0^2 + 8*c_1100_0 + 7, c_0011_9 - c_1100_0 - 1, c_0101_3 + 9/14*c_1100_0^4 + 12/7*c_1100_0^3 + 31/14*c_1100_0^2 + 85/14*c_1100_0 + 20/7, c_0101_5 + 5/14*c_1100_0^4 + 9/7*c_1100_0^3 + 25/14*c_1100_0^2 + 27/14*c_1100_0 + 15/7, c_0110_11 - 3/14*c_1100_0^4 - 4/7*c_1100_0^3 - 15/14*c_1100_0^2 - 33/14*c_1100_0 - 9/7, c_1001_2 - 3/14*c_1100_0^4 - 4/7*c_1100_0^3 - 15/14*c_1100_0^2 - 33/14*c_1100_0 - 9/7, c_1100_0^5 + 4*c_1100_0^4 + 7*c_1100_0^3 + 13*c_1100_0^2 + 16*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.590 Total time: 0.800 seconds, Total memory usage: 32.09MB