Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 3667609319] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s027 geometric_solution 3.56333366 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 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.292358028340 0.125203646195 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.227715253721 0.607028357262 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 1 0 -1 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 0.150834336397 0.176559153256 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 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 0.800848679092 1.911198572764 3 5 5 5 0132 3201 0213 2310 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.035146089585 1.000814546768 4 4 4 3 3201 0213 2310 0132 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 -1 0 1 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 0.035146089585 1.000814546768 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_4' : negation(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_5' : negation(d['c_0011_3']), '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' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], '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_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_5']), '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_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 12984963252/1394241635*c_0101_3^13 - 140170614071/1394241635*c_0101_3^12 + 108445447370/278848327*c_0101_3^11 - 819286195284/1394241635*c_0101_3^10 + 29657929562/278848327*c_0101_3^9 + 443753046846/1394241635*c_0101_3^8 + 476716503331/1394241635*c_0101_3^7 - 1304640568032/1394241635*c_0101_3^6 + 321375315223/1394241635*c_0101_3^5 + 1628253481559/1394241635*c_0101_3^4 - 494847544807/1394241635*c_0101_3^3 - 148755273006/1394241635*c_0101_3^2 + 167474764166/1394241635*c_0101_3 - 65635007684/1394241635, c_0011_0 - 1, c_0011_3 - 17157666/278848327*c_0101_3^13 + 198128640/278848327*c_0101_3^12 - 860236283/278848327*c_0101_3^11 + 1683303688/278848327*c_0101_3^10 - 1329987243/278848327*c_0101_3^9 + 302136968/278848327*c_0101_3^8 - 888538810/278848327*c_0101_3^7 + 2349277069/278848327*c_0101_3^6 - 2005122030/278848327*c_0101_3^5 - 732047856/278848327*c_0101_3^4 + 998786516/278848327*c_0101_3^3 - 507385276/278848327*c_0101_3^2 + 299143350/278848327*c_0101_3 + 96820980/278848327, c_0011_5 + 18929213/278848327*c_0101_3^13 - 177161464/278848327*c_0101_3^12 + 504368231/278848327*c_0101_3^11 - 122755979/278848327*c_0101_3^10 - 1345557129/278848327*c_0101_3^9 + 1023498912/278848327*c_0101_3^8 + 989526128/278848327*c_0101_3^7 - 456385061/278848327*c_0101_3^6 - 1918031605/278848327*c_0101_3^5 + 2913806754/278848327*c_0101_3^4 + 1829787057/278848327*c_0101_3^3 - 185140865/278848327*c_0101_3^2 + 415571225/278848327*c_0101_3 - 79238922/278848327, c_0101_0 + 319939258/278848327*c_0101_3^13 - 3438648528/278848327*c_0101_3^12 + 13213539713/278848327*c_0101_3^11 - 19734831218/278848327*c_0101_3^10 + 3448242760/278848327*c_0101_3^9 + 9655049194/278848327*c_0101_3^8 + 13506259207/278848327*c_0101_3^7 - 32015392301/278848327*c_0101_3^6 + 7132840816/278848327*c_0101_3^5 + 38510610105/278848327*c_0101_3^4 - 8380861809/278848327*c_0101_3^3 - 3928268758/278848327*c_0101_3^2 + 2866377339/278848327*c_0101_3 - 891791676/278848327, c_0101_1 + 211284622/278848327*c_0101_3^13 - 2231050922/278848327*c_0101_3^12 + 8304251914/278848327*c_0101_3^11 - 11454933391/278848327*c_0101_3^10 + 60275778/278848327*c_0101_3^9 + 6607450891/278848327*c_0101_3^8 + 9615266105/278848327*c_0101_3^7 - 18733603905/278848327*c_0101_3^6 + 1056999920/278848327*c_0101_3^5 + 25736494418/278848327*c_0101_3^4 - 1456961322/278848327*c_0101_3^3 - 1840330473/278848327*c_0101_3^2 + 1833452787/278848327*c_0101_3 - 726096770/278848327, c_0101_3^14 - 11*c_0101_3^13 + 44*c_0101_3^12 - 72*c_0101_3^11 + 26*c_0101_3^10 + 28*c_0101_3^9 + 34*c_0101_3^8 - 110*c_0101_3^7 + 47*c_0101_3^6 + 115*c_0101_3^5 - 57*c_0101_3^4 - 5*c_0101_3^3 + 12*c_0101_3^2 - 6*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB