Magma V2.19-8 Tue Aug 20 2013 23:48:50 on localhost [Seed = 1713376511] Type ? for help. Type -D to quit. Loading file "L12n1075__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1075 geometric_solution 10.66833070 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 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 0 0 0 0 -4 1 3 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 1.222327901201 0.760068735425 0 5 2 6 0132 0132 2103 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671400171439 0.762046233213 1 0 6 7 2103 0132 2310 0132 0 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687444983273 0.477782154365 8 9 10 0 0132 0132 0132 0132 0 1 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 1 0 -1 1 0 0 -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 -0.084340804602 0.974089534954 5 11 0 7 2310 0132 0132 0213 0 1 1 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 0 0 0 0 3 -3 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 -0.452727575300 0.861204439692 9 1 4 10 0213 0132 3201 3120 1 1 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 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 0.334394683545 0.680404845111 8 2 1 11 2103 3201 0132 2103 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682026193430 2.082094441830 11 10 2 4 0132 0213 0132 0213 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500433516452 1.253323359767 3 11 6 9 0132 0213 2103 0213 0 1 1 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 0 0 0 0 -3 4 -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 0.686200915226 0.659471007828 5 3 10 8 0213 0132 0213 0213 0 1 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 -1 0 1 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 0.279507653493 0.311246056712 5 9 7 3 3120 0213 0213 0132 0 1 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 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 0.669766913878 0.722741335603 7 4 8 6 0132 0132 0213 2103 0 1 1 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 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566753247433 0.562114117480 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0110_6']), '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_3']), 'c_0101_10' : negation(d['c_0011_11']), '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_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_0'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_1010_7'], 'c_1100_3' : d['c_1010_7'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_1010_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : negation(d['c_0110_6']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_7'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : d['c_0101_3'], '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_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0110_6'])})} 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_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_6, c_1001_0, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 267/31720*c_1010_7^3 + 1219/15860*c_1010_7^2 - 2277/15860*c_1010_7 - 3921/15860, c_0011_0 - 1, c_0011_11 + 3/10*c_1010_7^3 - 16/5*c_1010_7^2 + 48/5*c_1010_7 - 21/5, c_0011_3 + 3/10*c_1010_7^3 - 16/5*c_1010_7^2 + 48/5*c_1010_7 - 11/5, c_0011_6 + 1/10*c_1010_7^3 - 2/5*c_1010_7^2 - 4/5*c_1010_7 + 3/5, c_0101_0 + 1, c_0101_1 + 1/10*c_1010_7^3 - 9/10*c_1010_7^2 + 11/5*c_1010_7 - 2/5, c_0101_3 - 1/5*c_1010_7^3 + 9/5*c_1010_7^2 - 22/5*c_1010_7 - 6/5, c_0101_7 - 1/10*c_1010_7^3 + 9/10*c_1010_7^2 - 11/5*c_1010_7 + 2/5, c_0110_6 - c_1010_7, c_1001_0 - 1, c_1001_2 - 1/10*c_1010_7^3 + 9/10*c_1010_7^2 - 6/5*c_1010_7 + 2/5, c_1010_7^4 - 10*c_1010_7^3 + 26*c_1010_7^2 + 4*c_1010_7 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_6, c_1001_0, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 152/45*c_1010_7^5 - 21/5*c_1010_7^4 + 572/45*c_1010_7^3 + 157/45*c_1010_7^2 - 70/3*c_1010_7 + 478/45, c_0011_0 - 1, c_0011_11 - 3*c_1010_7^5 - 5*c_1010_7^4 + 9*c_1010_7^3 + 6*c_1010_7^2 - 18*c_1010_7 + 5, c_0011_3 - 4*c_1010_7^5 - 6*c_1010_7^4 + 13*c_1010_7^3 + 6*c_1010_7^2 - 25*c_1010_7 + 9, c_0011_6 + 4/3*c_1010_7^5 + 2*c_1010_7^4 - 13/3*c_1010_7^3 - 8/3*c_1010_7^2 + 8*c_1010_7 - 8/3, c_0101_0 + 3*c_1010_7^5 + 5*c_1010_7^4 - 9*c_1010_7^3 - 5*c_1010_7^2 + 18*c_1010_7 - 6, c_0101_1 + 2*c_1010_7^5 + 3*c_1010_7^4 - 6*c_1010_7^3 - 3*c_1010_7^2 + 11*c_1010_7 - 3, c_0101_3 - 3*c_1010_7^5 - 4*c_1010_7^4 + 11*c_1010_7^3 + 4*c_1010_7^2 - 20*c_1010_7 + 8, c_0101_7 + 6*c_1010_7^5 + 9*c_1010_7^4 - 19*c_1010_7^3 - 9*c_1010_7^2 + 36*c_1010_7 - 12, c_0110_6 - 8/3*c_1010_7^5 - 4*c_1010_7^4 + 26/3*c_1010_7^3 + 13/3*c_1010_7^2 - 16*c_1010_7 + 16/3, c_1001_0 - 1, c_1001_2 + 2/3*c_1010_7^5 + c_1010_7^4 - 8/3*c_1010_7^3 - 4/3*c_1010_7^2 + 5*c_1010_7 - 7/3, c_1010_7^6 + c_1010_7^5 - 4*c_1010_7^4 + 7*c_1010_7^2 - 5*c_1010_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB