Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 3103335573] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s209 geometric_solution 4.34437407 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 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 1 0 -1 -1 0 1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.322857817783 0.270033256289 0 2 2 0 0132 0132 3201 3201 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 -1 0 1 1 0 -1 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 -0.698847170211 0.737448346643 1 1 3 4 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025665807558 0.413481625104 4 4 5 2 1023 3012 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741701890131 1.190282788837 3 3 2 5 1230 1023 0132 2310 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 -1 1 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 0.741701890131 1.190282788837 4 5 5 3 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216989377333 1.086347189614 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 21608676102045/90878587301*c_0101_2^13 + 22732348084133/90878587301*c_0101_2^12 + 58688490985470/90878587301*c_0101_2^11 + 78358960765113/90878587301*c_0101_2^10 - 182841595427902/90878587301*c_0101_2^9 - 289314386148352/90878587301*c_0101_2^8 + 684052528243437/90878587301*c_0101_2^7 + 316936708638262/90878587301*c_0101_2^6 - 730917410371523/90878587301*c_0101_2^5 - 106240871959954/90878587301*c_0101_2^4 + 289975386568608/90878587301*c_0101_2^3 - 33013969978974/90878587301*c_0101_2^2 - 47992176308422/90878587301*c_0101_2 + 12062028754685/90878587301, c_0011_0 - 1, c_0011_3 - 1135105990525/90878587301*c_0101_2^13 + 1003269412890/90878587301*c_0101_2^12 + 3513407871373/90878587301*c_0101_2^11 + 4297064889336/90878587301*c_0101_2^10 - 9346715370086/90878587301*c_0101_2^9 - 17518999089834/90878587301*c_0101_2^8 + 35502051971684/90878587301*c_0101_2^7 + 24703853327984/90878587301*c_0101_2^6 - 43319643856443/90878587301*c_0101_2^5 - 11622758596758/90878587301*c_0101_2^4 + 20359323470835/90878587301*c_0101_2^3 - 973538489089/90878587301*c_0101_2^2 - 3802641956862/90878587301*c_0101_2 + 888848583693/90878587301, c_0011_5 + 625136018710/90878587301*c_0101_2^13 - 803535527384/90878587301*c_0101_2^12 - 1451983823548/90878587301*c_0101_2^11 - 2030715715556/90878587301*c_0101_2^10 + 5665153356346/90878587301*c_0101_2^9 + 6922158063722/90878587301*c_0101_2^8 - 20789625843162/90878587301*c_0101_2^7 - 3928118500001/90878587301*c_0101_2^6 + 19820121226932/90878587301*c_0101_2^5 - 985525727797/90878587301*c_0101_2^4 - 6173691868185/90878587301*c_0101_2^3 + 1356947412073/90878587301*c_0101_2^2 + 607284138937/90878587301*c_0101_2 - 110902703408/90878587301, c_0101_0 + 1008906453545/90878587301*c_0101_2^13 - 787333016253/90878587301*c_0101_2^12 - 3224911015892/90878587301*c_0101_2^11 - 4075140602765/90878587301*c_0101_2^10 + 7856567529185/90878587301*c_0101_2^9 + 16359561763923/90878587301*c_0101_2^8 - 30205599426734/90878587301*c_0101_2^7 - 24825251657342/90878587301*c_0101_2^6 + 37033483513926/90878587301*c_0101_2^5 + 12555994761408/90878587301*c_0101_2^4 - 17329810275226/90878587301*c_0101_2^3 + 485090725212/90878587301*c_0101_2^2 + 3263857615755/90878587301*c_0101_2 - 805184896026/90878587301, c_0101_1 - 1942730181995/90878587301*c_0101_2^13 + 2308511148418/90878587301*c_0101_2^12 + 4849598629003/90878587301*c_0101_2^11 + 6586534325926/90878587301*c_0101_2^10 - 17144804669510/90878587301*c_0101_2^9 - 23447523178494/90878587301*c_0101_2^8 + 63478496275375/90878587301*c_0101_2^7 + 19086199438774/90878587301*c_0101_2^6 - 63915539389803/90878587301*c_0101_2^5 - 1989148557159/90878587301*c_0101_2^4 + 22370634050472/90878587301*c_0101_2^3 - 4142006559330/90878587301*c_0101_2^2 - 2904277607221/90878587301*c_0101_2 + 823453077743/90878587301, c_0101_2^14 - 7/5*c_0101_2^13 - 12/5*c_0101_2^12 - 13/5*c_0101_2^11 + 49/5*c_0101_2^10 + 53/5*c_0101_2^9 - 184/5*c_0101_2^8 - 4*c_0101_2^7 + 203/5*c_0101_2^6 - 36/5*c_0101_2^5 - 81/5*c_0101_2^4 + 33/5*c_0101_2^3 + 9/5*c_0101_2^2 - 7/5*c_0101_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB