Magma V2.19-8 Tue Aug 20 2013 23:46:58 on localhost [Seed = 3734549741] Type ? for help. Type -D to quit. Loading file "K14n5299__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n5299 geometric_solution 10.80690663 oriented_manifold CS_known -0.0000000000000004 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 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567341417393 0.361002586956 0 5 7 6 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486193790367 0.812050701573 4 0 5 7 1023 0132 0321 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110362161800 1.000566562298 8 9 10 0 0132 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 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 0.317341475962 0.544252733550 11 2 0 8 0132 1023 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 -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 1.173099243492 0.780147901333 10 1 2 10 2103 0132 0321 3120 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 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 0.585484607745 0.664104244280 8 9 1 8 2310 2031 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.936251376031 1.062717857203 11 9 2 1 3120 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326974690758 1.108617688287 3 6 6 4 0132 1302 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.271063018844 1.221664757247 6 3 11 7 1302 0132 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206759126174 0.935959247216 5 11 5 3 3120 2103 2103 0132 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 1 0 -1 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 0.676365094453 1.083619422347 4 10 9 7 0132 2103 0321 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.832594178594 1.142191307225 ==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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0011_7'], '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_6'], '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_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' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0110_9']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0110_2']), 'c_1100_8' : negation(d['c_0011_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_0']), 'c_0011_7' : d['c_0011_7'], '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_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_2, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 1/12*c_0110_9^2 + 1/6*c_0110_9 - 1/12, c_0011_0 - 1, c_0011_10 - c_0110_9 - 1, c_0011_3 - c_0110_9^2 - c_0110_9 - 3, c_0011_6 - c_0110_9^2 - 3, c_0011_7 + c_0110_9, c_0101_0 - c_0110_9^2 - c_0110_9 - 3, c_0101_1 - 1, c_0101_10 - 1, c_0101_3 - 1, c_0101_7 - c_0110_9^2 - c_0110_9 - 2, c_0110_2 + c_0110_9^2 + 2, c_0110_9^3 + c_0110_9^2 + 3*c_0110_9 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_2, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 119/128*c_0110_9^3 - 109/64*c_0110_9^2 + 197/128*c_0110_9 - 127/128, c_0011_0 - 1, c_0011_10 + c_0110_9^3 - c_0110_9^2 + 3*c_0110_9 - 2, c_0011_3 - c_0110_9^3 + c_0110_9^2 - 3*c_0110_9 + 2, c_0011_6 - c_0110_9^3 + c_0110_9^2 - 2*c_0110_9 + 2, c_0011_7 + 2*c_0110_9^3 - 2*c_0110_9^2 + 5*c_0110_9 - 3, c_0101_0 - c_0110_9^3 + c_0110_9^2 - 3*c_0110_9 + 2, c_0101_1 - 1, c_0101_10 - 1, c_0101_3 + c_0110_9^3 + 2*c_0110_9 + 1, c_0101_7 - 2*c_0110_9^3 + c_0110_9^2 - 5*c_0110_9 + 1, c_0110_2 + 2*c_0110_9^3 - c_0110_9^2 + 4*c_0110_9 - 1, c_0110_9^4 - c_0110_9^3 + 3*c_0110_9^2 - 2*c_0110_9 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_2, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 313/96*c_0110_9^3 + 533/96*c_0110_9^2 + 487/48*c_0110_9 - 525/32, c_0011_0 - 1, c_0011_10 - 1/3*c_0110_9^3 - 2/3*c_0110_9^2 - 2/3*c_0110_9 + 1, c_0011_3 - 1/3*c_0110_9^3 - 1/3*c_0110_9^2 + 2/3, c_0011_6 - 1/3*c_0110_9^3 - 2/3*c_0110_9^2 - 5/3*c_0110_9 + 2, c_0011_7 - 2/3*c_0110_9^3 - 4/3*c_0110_9^2 - 7/3*c_0110_9 + 3, c_0101_0 + 1/3*c_0110_9^3 + 2/3*c_0110_9^2 + 2/3*c_0110_9 - 1, c_0101_1 - 1, c_0101_10 + 1/3*c_0110_9^3 + 1/3*c_0110_9^2 + c_0110_9 - 2/3, c_0101_3 - 1, c_0101_7 - 1/3*c_0110_9^3 - 1/3*c_0110_9^2 + 5/3, c_0110_2 - 1/3*c_0110_9^2 - 2/3*c_0110_9 + 1/3, c_0110_9^4 + c_0110_9^3 + 2*c_0110_9^2 - 7*c_0110_9 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_2, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 577/48*c_0110_9^3 + 577/48*c_0110_9^2 - 1121/16*c_0110_9 + 1121/16, c_0011_0 - 1, c_0011_10 + c_0110_9 - 1, c_0011_3 + 1/2*c_0110_9^2 - c_0110_9 - 1/2, c_0011_6 - 1/2*c_0110_9^3 - 7/2*c_0110_9, c_0011_7 + c_0110_9, c_0101_0 + 1/2*c_0110_9^3 + 5/2*c_0110_9, c_0101_1 + 1, c_0101_10 - 1/2*c_0110_9^2 - 1/2, c_0101_3 + 1/2*c_0110_9^2 + 1/2, c_0101_7 + 1/2*c_0110_9^2 - c_0110_9 + 1/2, c_0110_2 - 1/2*c_0110_9^3 - 1/2*c_0110_9^2 - 3/2*c_0110_9 - 1/2, c_0110_9^4 + 6*c_0110_9^2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0110_2, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2773/2*c_0110_9^3 - 16071/4*c_0110_9^2 + 10089/2*c_0110_9 + 6089/4, c_0011_0 - 1, c_0011_10 - c_0110_9 - 1, c_0011_3 + 1/2*c_0110_9^3 - 7/4*c_0110_9^2 + 5/2*c_0110_9 + 3/4, c_0011_6 + c_0110_9^3 - 5/2*c_0110_9^2 + 5/2*c_0110_9 + 1, c_0011_7 + c_0110_9, c_0101_0 - 3/2*c_0110_9^3 + 17/4*c_0110_9^2 - 11/2*c_0110_9 - 9/4, c_0101_1 - 1, c_0101_10 + 1/2*c_0110_9^3 - 7/4*c_0110_9^2 + 2*c_0110_9 + 5/4, c_0101_3 + 1/2*c_0110_9^3 - 7/4*c_0110_9^2 + 2*c_0110_9 + 5/4, c_0101_7 + 1/2*c_0110_9 - 1/2, c_0110_2 + c_0110_9^3 - 5/2*c_0110_9^2 + 3*c_0110_9 + 3/2, c_0110_9^4 - 5/2*c_0110_9^3 + 5/2*c_0110_9^2 + 5/2*c_0110_9 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.430 Total time: 1.639 seconds, Total memory usage: 32.09MB