Magma V2.19-8 Tue Aug 20 2013 23:47:44 on localhost [Seed = 3667701940] Type ? for help. Type -D to quit. Loading file "L11n147__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n147 geometric_solution 10.72522683 oriented_manifold CS_known -0.0000000000000003 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 -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 -2 1 1 -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 0.616210896522 0.360457407959 0 2 5 3 0132 0321 0132 0321 0 1 1 1 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 1 0 7 -8 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850803311646 0.996985853392 6 0 7 1 0132 0132 0132 0321 0 1 1 1 0 -1 1 0 -1 0 0 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 2 -2 0 7 0 0 -7 -1 1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811645143611 1.052015302551 8 1 9 0 0132 0321 0132 0132 0 1 1 1 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 0 1 -1 0 0 1 -1 1 0 0 -1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026183755152 0.684055290072 5 5 0 10 0321 0213 0132 0132 0 1 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 0 0 0 0 0 -1 1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687602074729 0.483004713848 4 11 4 1 0321 0132 0213 0132 0 1 1 1 0 0 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 0 7 -7 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.188354856389 1.052015302551 2 7 9 11 0132 0213 0321 0132 0 1 1 1 0 -1 1 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 0 0 0 0 2 -2 0 -7 0 0 7 8 -8 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702589026686 0.526347101054 9 8 6 2 0321 0321 0213 0132 0 1 1 1 0 0 1 -1 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 -2 2 -8 0 8 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.368923198490 0.733903300536 3 11 10 7 0132 0321 0132 0321 0 1 1 1 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 0 0 8 0 0 -8 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627048013116 0.533232853587 7 10 6 3 0321 0132 0321 0132 0 1 1 1 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 -1 2 -1 0 0 1 -1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456225526334 0.760464656146 11 9 4 8 0213 0132 0132 0132 0 1 1 1 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 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.027371051473 0.983116169738 10 5 6 8 0213 0132 0132 0321 0 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 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223108528577 1.325637870502 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(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_1001_6'], 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_1001_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_10'], '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_0011_3']), 'c_0110_0' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : 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_4, c_0011_7, c_1001_0, c_1001_1, c_1001_10, c_1001_2, c_1001_6, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 89*c_1001_8^7 + 349*c_1001_8^6 + 463*c_1001_8^5 + 683*c_1001_8^4 + 721*c_1001_8^3 + 559*c_1001_8^2 + 259*c_1001_8 + 73, c_0011_0 - 1, c_0011_10 - c_1001_8^7 - 5*c_1001_8^6 - 9*c_1001_8^5 - 12*c_1001_8^4 - 16*c_1001_8^3 - 14*c_1001_8^2 - 8*c_1001_8 - 4, c_0011_11 - 4*c_1001_8^7 - 15*c_1001_8^6 - 19*c_1001_8^5 - 31*c_1001_8^4 - 32*c_1001_8^3 - 24*c_1001_8^2 - 14*c_1001_8 - 3, c_0011_3 + c_1001_8^7 + 4*c_1001_8^6 + 5*c_1001_8^5 + 7*c_1001_8^4 + 9*c_1001_8^3 + 5*c_1001_8^2 + 3*c_1001_8 + 1, c_0011_4 + c_1001_8^7 + 3*c_1001_8^6 + 2*c_1001_8^5 + 5*c_1001_8^4 + 4*c_1001_8^3 + 2*c_1001_8^2 + c_1001_8 - 1, c_0011_7 - c_1001_8^7 - 6*c_1001_8^6 - 13*c_1001_8^5 - 17*c_1001_8^4 - 22*c_1001_8^3 - 20*c_1001_8^2 - 12*c_1001_8 - 5, c_1001_0 - 1, c_1001_1 - c_1001_8^7 - 3*c_1001_8^6 - 2*c_1001_8^5 - 4*c_1001_8^4 - c_1001_8^3 + c_1001_8^2 + c_1001_8 + 2, c_1001_10 + c_1001_8^7 + 4*c_1001_8^6 + 5*c_1001_8^5 + 7*c_1001_8^4 + 9*c_1001_8^3 + 6*c_1001_8^2 + 4*c_1001_8 + 1, c_1001_2 + 2*c_1001_8^7 + 8*c_1001_8^6 + 11*c_1001_8^5 + 16*c_1001_8^4 + 17*c_1001_8^3 + 13*c_1001_8^2 + 7*c_1001_8 + 2, c_1001_6 + 2*c_1001_8^6 + 7*c_1001_8^5 + 7*c_1001_8^4 + 11*c_1001_8^3 + 10*c_1001_8^2 + 6*c_1001_8 + 3, c_1001_8^8 + 4*c_1001_8^7 + 6*c_1001_8^6 + 10*c_1001_8^5 + 11*c_1001_8^4 + 10*c_1001_8^3 + 7*c_1001_8^2 + 3*c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB