Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 1966401956] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1343 geometric_solution 5.21821178 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 -1 2 -1 0 0 1 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 1 -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 3.053579479659 1.625865665656 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 -2 1 0 1 -1 0 1 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.133334495197 0.643508653396 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 0 -1 -1 0 0 1 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 -1 0 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 -0.417160138851 0.523407820993 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080588421637 0.885642881646 5 3 2 6 3201 1023 0132 0132 0 0 0 0 0 -1 1 0 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -0.080588421637 0.885642881646 5 3 5 4 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101900013974 1.119850968446 6 6 4 3 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.424778502147 1.240565682916 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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' : negation(d['1']), 's_2_6' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 8192/63*c_0101_6, c_0011_0 - 1, c_0011_1 + 1/2, c_0011_3 - 2/3*c_0101_6, c_0011_6 + 1/4, c_0101_1 + 4/3*c_0101_6, c_0101_6^2 - 9/32, c_1100_2 - 7/8 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 10943859869/230868512*c_0101_6*c_1100_2^7 - 91409690657/148415472*c_0101_6*c_1100_2^6 - 7772222086313/2077816608*c_0101_6*c_1100_2^5 - 3083703486643/259727076*c_0101_6*c_1100_2^4 - 34805837648327/2077816608*c_0101_6*c_1100_2^3 - 5366820924245/1038908304*c_0101_6*c_1100_2^2 + 55690891775/64931769*c_0101_6*c_1100_2 - 10172710974787/2077816608*c_0101_6, c_0011_0 - 1, c_0011_1 + 219539/8245304*c_1100_2^7 + 1164773/4122652*c_1100_2^6 + 11994175/8245304*c_1100_2^5 + 3534576/1030663*c_1100_2^4 + 18014905/8245304*c_1100_2^3 - 4711049/4122652*c_1100_2^2 + 1188173/1030663*c_1100_2 + 6724509/8245304, c_0011_3 + 113093/12367956*c_0101_6*c_1100_2^7 + 295711/6183978*c_0101_6*c_1100_2^6 - 13925/4122652*c_0101_6*c_1100_2^5 - 1396555/1030663*c_0101_6*c_1100_2^4 - 61716185/12367956*c_0101_6*c_1100_2^3 - 25080209/6183978*c_0101_6*c_1100_2^2 + 919792/3091989*c_0101_6*c_1100_2 - 17060477/12367956*c_0101_6, c_0011_6 + 335635/8245304*c_1100_2^7 + 1646157/4122652*c_1100_2^6 + 15927071/8245304*c_1100_2^5 + 4087448/1030663*c_1100_2^4 + 12064449/8245304*c_1100_2^3 - 1746113/4122652*c_1100_2^2 + 1916477/1030663*c_1100_2 - 3570795/8245304, c_0101_1 - 8017/3091989*c_0101_6*c_1100_2^7 - 216055/3091989*c_0101_6*c_1100_2^6 - 550274/1030663*c_0101_6*c_1100_2^5 - 2199309/1030663*c_0101_6*c_1100_2^4 - 10380443/3091989*c_0101_6*c_1100_2^3 + 1439201/3091989*c_0101_6*c_1100_2^2 + 3577129/3091989*c_0101_6*c_1100_2 - 2965625/3091989*c_0101_6, c_0101_6^2 + 766019/8245304*c_1100_2^7 + 3784117/4122652*c_1100_2^6 + 36711295/8245304*c_1100_2^5 + 9430143/1030663*c_1100_2^4 + 24971689/8245304*c_1100_2^3 - 8669129/4122652*c_1100_2^2 + 3969822/1030663*c_1100_2 - 1404699/8245304, c_1100_2^8 + 13*c_1100_2^7 + 79*c_1100_2^6 + 251*c_1100_2^5 + 355*c_1100_2^4 + 111*c_1100_2^3 - 18*c_1100_2^2 + 103*c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB