Magma V2.19-8 Wed Aug 21 2013 00:51:38 on localhost [Seed = 813049162] Type ? for help. Type -D to quit. Loading file "L11n189__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n189 geometric_solution 12.46757693 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 1 1 1 1 0 0 0 0 -1 0 0 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 1 0 -1 -4 0 0 4 0 -4 0 4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694068608029 1.095896366277 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 0 0 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 0 0 0 4 0 0 -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 0.502031538663 0.766835357075 0 0 4 6 3201 0132 0132 3201 1 1 1 1 0 0 0 0 -1 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 0 -1 0 1 -4 0 4 0 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236316578027 0.846524697851 7 8 4 0 0132 0132 3201 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 5 0 -5 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 0.501569924863 0.543425695814 3 1 9 2 2310 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 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 4 -4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402394722628 0.912820850825 7 10 1 9 2103 0132 0132 2310 1 1 1 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 0 0 0 0 0 0 0 0 0 0 -5 0 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 0.148892187988 0.866743202496 7 2 11 1 3120 2310 0132 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 0 0 -5 0 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082858452207 0.993676572426 3 9 5 6 0132 0213 2103 3120 1 1 1 1 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 0 1 -1 -5 0 5 0 0 -5 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982817201804 0.719481551012 11 3 11 10 0321 0132 2310 0132 1 0 1 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 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 0.594712970828 0.540655735519 5 12 7 4 3201 0132 0213 0132 1 1 1 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 -1 0 5 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576776563352 0.587372314751 12 5 8 12 3120 0132 0132 0132 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 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 0.453033128359 1.408201888479 8 8 12 6 0321 3201 3201 0132 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 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 0.887685134924 1.184178187276 11 9 10 10 2310 0132 0132 3120 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 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 0.792972164096 0.643522451757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0110_2']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_1001_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_11' : d['c_0101_11'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], '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' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : negation(d['c_0110_2']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0101_4']), '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'], 'c_1100_12' : d['c_0011_11'], '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_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0011_3'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_11'], 's_2_9' : d['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_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0110_2, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 7*c_1001_12^3 - 15*c_1001_12^2 - 13*c_1001_12 - 4, c_0011_0 - 1, c_0011_10 - 3*c_1001_12^3 - 3*c_1001_12^2 - 2*c_1001_12, c_0011_11 + 3*c_1001_12^3 + 6*c_1001_12^2 + 6*c_1001_12 + 2, c_0011_12 - 6*c_1001_12^3 - 9*c_1001_12^2 - 6*c_1001_12 - 3, c_0011_3 - 6*c_1001_12^3 - 6*c_1001_12^2 - 3*c_1001_12, c_0011_6 - 6*c_1001_12^3 - 9*c_1001_12^2 - 6*c_1001_12 - 1, c_0101_0 + 3*c_1001_12^3 - 1, c_0101_1 - 3*c_1001_12^3 - 3*c_1001_12^2, c_0101_11 + 1, c_0101_4 - 3*c_1001_12^3 - 6*c_1001_12^2 - 6*c_1001_12 - 3, c_0110_2 - 3*c_1001_12^3 - 3*c_1001_12^2 - 3*c_1001_12 - 1, c_1001_0 + 3*c_1001_12^3 + 3*c_1001_12^2, c_1001_12^4 + 2*c_1001_12^3 + 2*c_1001_12^2 + c_1001_12 + 1/3 ], 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0110_2, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5225/47808*c_1001_12^7 - 7957/31872*c_1001_12^6 + 18845/31872*c_1001_12^5 - 5425/5976*c_1001_12^4 + 8165/7968*c_1001_12^3 - 8117/11952*c_1001_12^2 + 2053/2988*c_1001_12 + 77/747, c_0011_0 - 1, c_0011_10 + 5/56*c_1001_12^7 + 3/112*c_1001_12^6 + 5/56*c_1001_12^5 - 17/112*c_1001_12^4 - 1/8*c_1001_12^3 + 11/28*c_1001_12^2 + 23/14*c_1001_12 + 5/7, c_0011_11 + 1, c_0011_12 + 5/56*c_1001_12^7 + 3/112*c_1001_12^6 + 5/56*c_1001_12^5 - 17/112*c_1001_12^4 - 1/8*c_1001_12^3 + 11/28*c_1001_12^2 + 9/14*c_1001_12 + 5/7, c_0011_3 + 3/14*c_1001_12^7 - 1/28*c_1001_12^6 + 13/28*c_1001_12^5 - 13/28*c_1001_12^4 + 1/2*c_1001_12^3 - 3/28*c_1001_12^2 + 37/14*c_1001_12 + 5/7, c_0011_6 + 11/56*c_1001_12^7 - 27/112*c_1001_12^6 + 25/56*c_1001_12^5 - 43/112*c_1001_12^4 + 5/8*c_1001_12^3 - 29/28*c_1001_12^2 + 31/14*c_1001_12 - 3/7, c_0101_0 - 11/56*c_1001_12^7 + 27/112*c_1001_12^6 - 25/56*c_1001_12^5 + 43/112*c_1001_12^4 - 5/8*c_1001_12^3 + 29/28*c_1001_12^2 - 31/14*c_1001_12 + 3/7, c_0101_1 - 1/14*c_1001_12^7 - 1/14*c_1001_12^6 + 3/56*c_1001_12^5 - 5/28*c_1001_12^4 - 1/8*c_1001_12^3 - 13/28*c_1001_12^2 + 2/7*c_1001_12 - 11/7, c_0101_11 + 1, c_0101_4 - 5/56*c_1001_12^7 - 3/112*c_1001_12^6 - 5/56*c_1001_12^5 + 17/112*c_1001_12^4 + 1/8*c_1001_12^3 - 11/28*c_1001_12^2 - 9/14*c_1001_12 - 5/7, c_0110_2 + 1, c_1001_0 - 1/8*c_1001_12^7 + 1/16*c_1001_12^6 - 3/8*c_1001_12^5 + 5/16*c_1001_12^4 - 5/8*c_1001_12^3 + 1/2*c_1001_12^2 - 2*c_1001_12, c_1001_12^8 - 1/2*c_1001_12^7 + 3*c_1001_12^6 - 5/2*c_1001_12^5 + 5*c_1001_12^4 - 4*c_1001_12^3 + 16*c_1001_12^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB