Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 1191631767] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1201 geometric_solution 5.09518513 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 1 0 -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 0.179047727307 0.904625478830 3 2 4 0 0132 3012 0132 0132 0 0 0 0 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 0 0 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 0.937377159005 1.270562832551 1 3 0 4 1230 2310 0132 3201 0 0 0 0 0 -1 1 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 -1 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 0 0 0 0.937377159005 1.270562832551 1 3 3 2 0132 1230 3012 3201 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 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 1.034328446165 0.658631894001 5 2 5 1 0132 2310 2310 0132 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 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 0.246586300896 1.070107571453 4 4 6 6 0132 3201 3201 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 0.338973911485 0.123277656072 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.639801970300 0.288923826754 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 372772230266088/526378133*c_0101_4^15 - 2934939755205135/1052756266*c_0101_4^13 + 65704371517037313/16844100256*c_0101_4^11 - 40630506281511485/16844100256*c_0101_4^9 + 5967462212494635/8422050128*c_0101_4^7 - 2861015145867889/16844100256*c_0101_4^5 + 1071692564106291/16844100256*c_0101_4^3 - 198030207181489/16844100256*c_0101_4, c_0011_0 - 1, c_0011_1 - 1233766373184/526378133*c_0101_4^15 + 4955671004988/526378133*c_0101_4^13 - 28586692733249/2105512532*c_0101_4^11 + 18456013408773/2105512532*c_0101_4^9 - 2833083798077/1052756266*c_0101_4^7 + 1296864209161/2105512532*c_0101_4^5 - 486296918403/2105512532*c_0101_4^3 + 99046363581/2105512532*c_0101_4, c_0011_4 + 1117781496576/526378133*c_0101_4^14 - 4460013155088/526378133*c_0101_4^12 + 6375867289599/526378133*c_0101_4^10 - 4073114163370/526378133*c_0101_4^8 + 1239077832779/526378133*c_0101_4^6 - 288877680781/526378133*c_0101_4^4 + 109004667367/526378133*c_0101_4^2 - 21173101007/526378133, c_0011_6 - 487237165056/526378133*c_0101_4^14 + 1993150849536/526378133*c_0101_4^12 - 2938915533792/526378133*c_0101_4^10 + 1938595525660/526378133*c_0101_4^8 - 599019044831/526378133*c_0101_4^6 + 134424962860/526378133*c_0101_4^4 - 51747816321/526378133*c_0101_4^2 + 10598144491/526378133, c_0101_0 + 2187216999936/526378133*c_0101_4^14 - 8582783997216/526378133*c_0101_4^12 + 11946879712142/526378133*c_0101_4^10 - 7326757007570/526378133*c_0101_4^8 + 2130481967021/526378133*c_0101_4^6 - 516173669812/526378133*c_0101_4^4 + 193249062406/526378133*c_0101_4^2 - 34570035406/526378133, c_0101_1 - 423341628480/526378133*c_0101_4^15 + 1752566568108/526378133*c_0101_4^13 - 10509537755941/2105512532*c_0101_4^11 + 7069238057485/2105512532*c_0101_4^9 - 1102291801831/1052756266*c_0101_4^7 + 482136255401/2105512532*c_0101_4^5 - 192151149519/2105512532*c_0101_4^3 + 39549936185/2105512532*c_0101_4, c_0101_4^16 - 209/48*c_0101_4^14 + 16477/2304*c_0101_4^12 - 13145/2304*c_0101_4^10 + 2791/1152*c_0101_4^8 - 1517/2304*c_0101_4^6 + 439/2304*c_0101_4^4 - 125/2304*c_0101_4^2 + 1/144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB