Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 256807545] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3067 geometric_solution 6.23337808 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 0.669745880604 1.034713810213 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 0.714845293753 0.768912711664 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 0 1 -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 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 0.714845293753 0.768912711664 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239932562404 0.680463707653 2 6 1 6 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989910680024 0.517119912895 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800564321327 0.739261041064 6 4 6 4 2031 0132 1302 1023 0 0 0 0 0 0 -1 1 1 0 -1 0 1 -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 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594880256892 0.197924383854 ==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' : negation(d['1']), 's_2_0' : negation(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_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' : 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_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 13/5*c_0110_6^3 - 47/5*c_0110_6, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 - c_0110_6^3 + 2*c_0110_6, c_0101_1 - c_0110_6^2 + 1, c_0101_2 + c_0110_6^2 - 1, c_0101_3 - c_0110_6, c_0110_6^4 - 5*c_0110_6^2 + 5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1128755280554315/4649725131872192*c_0110_6^17 + 3637369973071961/4649725131872192*c_0110_6^15 - 28741011296708923/4649725131872192*c_0110_6^13 + 37039680655421865/290607820742012*c_0110_6^11 - 1999886246933471903/4649725131872192*c_0110_6^9 + 311573882578870481/4649725131872192*c_0110_6^7 + 858835348030425065/4649725131872192*c_0110_6^5 + 64741535100003827/2324862565936096*c_0110_6^3 - 22393121935521865/4649725131872192*c_0110_6, c_0011_0 - 1, c_0011_4 - 113728681898/72651955185503*c_0110_6^16 - 5724647681/72651955185503*c_0110_6^14 - 1594621728881/72651955185503*c_0110_6^12 + 49713148756897/72651955185503*c_0110_6^10 - 3161895742357/72651955185503*c_0110_6^8 - 686982831980434/72651955185503*c_0110_6^6 + 462779180503534/72651955185503*c_0110_6^4 + 29620191875653/72651955185503*c_0110_6^2 + 25373598291099/72651955185503, c_0101_0 - 3855006790864/72651955185503*c_0110_6^17 + 11132243124090/72651955185503*c_0110_6^15 - 95091654019110/72651955185503*c_0110_6^13 + 1993769331881822/72651955185503*c_0110_6^11 - 6178411452832565/72651955185503*c_0110_6^9 - 670447654486441/72651955185503*c_0110_6^7 + 1808717313331730/72651955185503*c_0110_6^5 + 544850431651325/72651955185503*c_0110_6^3 + 174471689406430/72651955185503*c_0110_6, c_0101_1 - 789844343304/72651955185503*c_0110_6^16 + 3336906292569/72651955185503*c_0110_6^14 - 23046795698178/72651955185503*c_0110_6^12 + 436191957665902/72651955185503*c_0110_6^10 - 1825086517602900/72651955185503*c_0110_6^8 + 1825201140372272/72651955185503*c_0110_6^6 - 349315903946846/72651955185503*c_0110_6^4 - 250650922890080/72651955185503*c_0110_6^2 + 64994552537215/72651955185503, c_0101_2 - 1166968499682/72651955185503*c_0110_6^16 + 3329882901818/72651955185503*c_0110_6^14 - 28475954414098/72651955185503*c_0110_6^12 + 601881594034171/72651955185503*c_0110_6^10 - 1844293630042918/72651955185503*c_0110_6^8 - 370048363769546/72651955185503*c_0110_6^6 + 915808364009114/72651955185503*c_0110_6^4 - 20908333810636/72651955185503*c_0110_6^2 + 1762128165803/72651955185503, c_0101_3 - 12726993350579/145303910371006*c_0110_6^17 + 42155764620257/145303910371006*c_0110_6^15 - 331308647781855/145303910371006*c_0110_6^13 + 3360726712879984/72651955185503*c_0110_6^11 - 23238111425569431/145303910371006*c_0110_6^9 + 7382259830354865/145303910371006*c_0110_6^7 + 3668858254293595/145303910371006*c_0110_6^5 + 153131490760595/72651955185503*c_0110_6^3 + 108368861441219/145303910371006*c_0110_6, c_0110_6^18 - 3*c_0110_6^16 + 25*c_0110_6^14 - 520*c_0110_6^12 + 1661*c_0110_6^10 - 11*c_0110_6^8 - 467*c_0110_6^6 - 106*c_0110_6^4 - 21*c_0110_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB