Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 2867541653] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s043 geometric_solution 3.58743007 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 -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 0.707633815244 0.074860276188 2 0 2 0 0132 2310 1023 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 -1 1 1 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 0.894846157018 0.072982764946 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 -1 0 1 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 0.856938208030 0.171264057395 4 2 5 2 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 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 0.983066318253 0.509162643173 3 5 5 5 0132 1230 3012 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007017959401 0.974083425265 4 4 4 3 3201 1230 3012 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 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 1.007017959401 0.974083425265 ==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' : 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' : d['1'], 's_2_5' : negation(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' : 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' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : d['c_0011_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_4'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 228857392220754478803/114076347704575224208*c_0101_4^13 - 1116476443673670244231/114076347704575224208*c_0101_4^12 - 1679067449114748521421/114076347704575224208*c_0101_4^11 + 10501192457890536542049/57038173852287612104*c_0101_4^10 - 10106395342087460305243/57038173852287612104*c_0101_4^9 - 105601844195412334732417/114076347704575224208*c_0101_4^8 + 27761890054914434019331/28519086926143806052*c_0101_4^7 + 66262055017526315862917/28519086926143806052*c_0101_4^6 - 65513103539685237413583/114076347704575224208*c_0101_4^5 - 233419299480088635560565/114076347704575224208*c_0101_4^4 - 21788698399207326355251/57038173852287612104*c_0101_4^3 + 3528378947376412911061/14259543463071903026*c_0101_4^2 + 16669054672389737413633/57038173852287612104*c_0101_4 + 6610369484931480796891/114076347704575224208, c_0011_0 - 1, c_0011_1 - 342754327676686251/7129771731535951513*c_0101_4^13 + 1842154888042547061/7129771731535951513*c_0101_4^12 + 1756210321364827214/7129771731535951513*c_0101_4^11 - 33091611988676129272/7129771731535951513*c_0101_4^10 + 45581276057022130689/7129771731535951513*c_0101_4^9 + 149885511988839912984/7129771731535951513*c_0101_4^8 - 255070612046660429075/7129771731535951513*c_0101_4^7 - 341968579422597382086/7129771731535951513*c_0101_4^6 + 347610376445988630759/7129771731535951513*c_0101_4^5 + 356122809611297486728/7129771731535951513*c_0101_4^4 - 173726584659667837305/7129771731535951513*c_0101_4^3 - 114120015412038892919/7129771731535951513*c_0101_4^2 + 10058370058169020176/7129771731535951513*c_0101_4 + 11936272574085330123/7129771731535951513, c_0101_0 - 336228968149364546/7129771731535951513*c_0101_4^13 + 1682880779480599662/7129771731535951513*c_0101_4^12 + 2288063336993612591/7129771731535951513*c_0101_4^11 - 31329584166599518454/7129771731535951513*c_0101_4^10 + 33458178675229331182/7129771731535951513*c_0101_4^9 + 154336804710069775042/7129771731535951513*c_0101_4^8 - 187004543001228473667/7129771731535951513*c_0101_4^7 - 382913595456594709397/7129771731535951513*c_0101_4^6 + 171896823055724134444/7129771731535951513*c_0101_4^5 + 364975060418773456511/7129771731535951513*c_0101_4^4 - 24112355040100884127/7129771731535951513*c_0101_4^3 - 93247496037804725725/7129771731535951513*c_0101_4^2 - 20168470251197070727/7129771731535951513*c_0101_4 + 8990944906662478934/7129771731535951513, c_0101_1 - 65289819652755047/7129771731535951513*c_0101_4^13 + 442935225314764570/7129771731535951513*c_0101_4^12 - 102615266124629978/7129771731535951513*c_0101_4^11 - 7027985194580033537/7129771731535951513*c_0101_4^10 + 17018414152495475175/7129771731535951513*c_0101_4^9 + 21373494393781871053/7129771731535951513*c_0101_4^8 - 91494783444377357185/7129771731535951513*c_0101_4^7 - 25254640297546075733/7129771731535951513*c_0101_4^6 + 174049466845090138171/7129771731535951513*c_0101_4^5 + 52001928315293302736/7129771731535951513*c_0101_4^4 - 118013549744547081977/7129771731535951513*c_0101_4^3 - 38388988468185425211/7129771731535951513*c_0101_4^2 + 10871376898490333477/7129771731535951513*c_0101_4 + 10677511792029757723/7129771731535951513, c_0101_3 - 180286850268096382/7129771731535951513*c_0101_4^13 + 924895157693954660/7129771731535951513*c_0101_4^12 + 1173762758618528525/7129771731535951513*c_0101_4^11 - 17272165469148249475/7129771731535951513*c_0101_4^10 + 19768512112225597516/7129771731535951513*c_0101_4^9 + 86084856483065890466/7129771731535951513*c_0101_4^8 - 118722779589402728220/7129771731535951513*c_0101_4^7 - 215598613864521446319/7129771731535951513*c_0101_4^6 + 158184538938763226089/7129771731535951513*c_0101_4^5 + 229245382991877895332/7129771731535951513*c_0101_4^4 - 77812822198383543772/7129771731535951513*c_0101_4^3 - 80190193965140882493/7129771731535951513*c_0101_4^2 + 3615412601696128816/7129771731535951513*c_0101_4 + 8775917265781927571/7129771731535951513, c_0101_4^14 - 5*c_0101_4^13 - 7*c_0101_4^12 + 94*c_0101_4^11 - 98*c_0101_4^10 - 475*c_0101_4^9 + 572*c_0101_4^8 + 1212*c_0101_4^7 - 597*c_0101_4^6 - 1247*c_0101_4^5 + 134*c_0101_4^4 + 392*c_0101_4^3 + 54*c_0101_4^2 - 39*c_0101_4 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB