Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 728414156] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1836 geometric_solution 5.48788878 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 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 0.467732432379 0.554580610341 0 3 2 4 0132 0132 1230 0132 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 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 0.707735657674 0.853828979788 3 0 4 1 3201 0132 3201 3012 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 -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 0.707735657674 0.853828979788 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269126118393 1.023858156034 2 5 1 5 2310 0132 0132 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 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 1.975856656075 0.551093942637 4 4 6 6 3201 0132 2310 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 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145898267780 0.452908208081 6 5 5 6 3012 3201 0132 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 1 0 -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 -0.742096361699 0.805239700012 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_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' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : 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' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_4'], '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' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_4'], '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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 3211900002256/74980984009*c_0101_2*c_0101_6^15 - 14174684558154/74980984009*c_0101_2*c_0101_6^14 - 2185435259480/74980984009*c_0101_2*c_0101_6^13 + 14886764732975/74980984009*c_0101_2*c_0101_6^12 + 102029241944019/74980984009*c_0101_2*c_0101_6^11 - 4793912833219/74980984009*c_0101_2*c_0101_6^10 - 263897872684812/74980984009*c_0101_2*c_0101_6^9 - 154659528749228/74980984009*c_0101_2*c_0101_6^8 + 277922549147787/74980984009*c_0101_2*c_0101_6^7 + 354380130940320/74980984009*c_0101_2*c_0101_6^6 - 116395995302188/74980984009*c_0101_2*c_0101_6^5 - 244052441591505/74980984009*c_0101_2*c_0101_6^4 - 3748442567265/74980984009*c_0101_2*c_0101_6^3 + 35435910189889/74980984009*c_0101_2*c_0101_6^2 + 7333033117242/74980984009*c_0101_2*c_0101_6 + 7873868585692/74980984009*c_0101_2, c_0011_0 - 1, c_0011_4 - 54969805874/74980984009*c_0101_2*c_0101_6^15 + 267928172582/74980984009*c_0101_2*c_0101_6^14 - 93391070783/74980984009*c_0101_2*c_0101_6^13 - 175777622680/74980984009*c_0101_2*c_0101_6^12 - 1675159278707/74980984009*c_0101_2*c_0101_6^11 + 811513976849/74980984009*c_0101_2*c_0101_6^10 + 3923542721781/74980984009*c_0101_2*c_0101_6^9 + 42162594465/3260042783*c_0101_2*c_0101_6^8 - 4527119808362/74980984009*c_0101_2*c_0101_6^7 - 3889566831519/74980984009*c_0101_2*c_0101_6^6 + 125491777864/3260042783*c_0101_2*c_0101_6^5 + 2037853112596/74980984009*c_0101_2*c_0101_6^4 - 280281430752/74980984009*c_0101_2*c_0101_6^3 + 138446501652/74980984009*c_0101_2*c_0101_6^2 - 260891836997/74980984009*c_0101_2*c_0101_6 - 5353432786/3260042783*c_0101_2, c_0011_6 + 7249403186/74980984009*c_0101_2*c_0101_6^15 - 31389248148/74980984009*c_0101_2*c_0101_6^14 + 4424707449/74980984009*c_0101_2*c_0101_6^13 - 21728467441/74980984009*c_0101_2*c_0101_6^12 + 240108791889/74980984009*c_0101_2*c_0101_6^11 + 35891939008/74980984009*c_0101_2*c_0101_6^10 - 229197129735/74980984009*c_0101_2*c_0101_6^9 - 457781870452/74980984009*c_0101_2*c_0101_6^8 - 183197546977/74980984009*c_0101_2*c_0101_6^7 + 444900661394/74980984009*c_0101_2*c_0101_6^6 + 473947211071/74980984009*c_0101_2*c_0101_6^5 + 322857210169/74980984009*c_0101_2*c_0101_6^4 - 298610465865/74980984009*c_0101_2*c_0101_6^3 - 171300380855/74980984009*c_0101_2*c_0101_6^2 + 7851973416/74980984009*c_0101_2*c_0101_6 - 74422873319/74980984009*c_0101_2, c_0101_0 + 4186780006/3260042783*c_0101_6^15 - 440153566426/74980984009*c_0101_6^14 + 27188322237/74980984009*c_0101_6^13 + 339940659838/74980984009*c_0101_6^12 + 3001988401874/74980984009*c_0101_6^11 - 567755967120/74980984009*c_0101_6^10 - 7132901084536/74980984009*c_0101_6^9 - 3491244668845/74980984009*c_0101_6^8 + 324770244870/3260042783*c_0101_6^7 + 8665423990544/74980984009*c_0101_6^6 - 3841418861450/74980984009*c_0101_6^5 - 234571302652/3260042783*c_0101_6^4 + 15638369698/74980984009*c_0101_6^3 + 778973910766/74980984009*c_0101_6^2 + 523630262204/74980984009*c_0101_6 + 27995983417/74980984009, c_0101_1 - 113485344228/74980984009*c_0101_6^15 + 501896330986/74980984009*c_0101_6^14 + 62817570240/74980984009*c_0101_6^13 - 484918787941/74980984009*c_0101_6^12 - 3592601080890/74980984009*c_0101_6^11 + 165380677250/74980984009*c_0101_6^10 + 9059517518180/74980984009*c_0101_6^9 + 5316352273685/74980984009*c_0101_6^8 - 9184443186290/74980984009*c_0101_6^7 - 12196407874648/74980984009*c_0101_6^6 + 3892995173907/74980984009*c_0101_6^5 + 8073508431006/74980984009*c_0101_6^4 + 338201154199/74980984009*c_0101_6^3 - 1273646502755/74980984009*c_0101_6^2 - 549636607884/74980984009*c_0101_6 - 88138113147/74980984009, c_0101_2^2 + 16443759256/74980984009*c_0101_6^15 - 81384127164/74980984009*c_0101_6^14 + 35079908566/74980984009*c_0101_6^13 + 44386168648/74980984009*c_0101_6^12 + 503877764473/74980984009*c_0101_6^11 - 284161617512/74980984009*c_0101_6^10 - 1127810054675/74980984009*c_0101_6^9 - 234471097524/74980984009*c_0101_6^8 + 1343868062085/74980984009*c_0101_6^7 + 1105486813319/74980984009*c_0101_6^6 - 935780706258/74980984009*c_0101_6^5 - 564008463759/74980984009*c_0101_6^4 + 5777787771/3260042783*c_0101_6^3 - 42121237406/74980984009*c_0101_6^2 + 60481856559/74980984009*c_0101_6 - 25797108239/74980984009, c_0101_6^16 - 4*c_0101_6^15 - 5/2*c_0101_6^14 + 9/2*c_0101_6^13 + 33*c_0101_6^12 + 23/2*c_0101_6^11 - 165/2*c_0101_6^10 - 77*c_0101_6^9 + 135/2*c_0101_6^8 + 137*c_0101_6^7 + 1/2*c_0101_6^6 - 86*c_0101_6^5 - 21*c_0101_6^4 + 11*c_0101_6^3 + 4*c_0101_6^2 + 3*c_0101_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB