Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 3515895042] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1329 geometric_solution 5.21131945 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494588537720 0.103777970716 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568792904246 0.302576662835 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 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 1.561931409396 2.447606238000 5 2 6 4 0132 0132 0132 3120 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 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264641842021 0.469173046462 3 6 2 5 3120 0132 0132 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 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 0.264641842021 0.469173046462 3 4 5 5 0132 2310 1230 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 -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 1.087940889825 1.616953494605 6 4 6 3 2310 0132 3201 0132 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 0 0 0 0 0 0 0 0 0.878100515554 1.037056457490 ==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' : 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' : 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' : d['c_0101_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_1001_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_0101_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 710049608937/3311500229*c_1001_3^14 - 2878495508553/3311500229*c_1001_3^13 - 26591843743314/3311500229*c_1001_3^12 + 62846872435428/3311500229*c_1001_3^11 + 145290390605707/3311500229*c_1001_3^10 - 271861219963938/3311500229*c_1001_3^9 - 310901524676829/3311500229*c_1001_3^8 + 419395862525457/3311500229*c_1001_3^7 + 310418818470117/3311500229*c_1001_3^6 - 257114723425943/3311500229*c_1001_3^5 - 144661948190903/3311500229*c_1001_3^4 + 54088886660489/3311500229*c_1001_3^3 + 25741207889411/3311500229*c_1001_3^2 - 2432693801121/3311500229*c_1001_3 - 1185163688085/3311500229, c_0011_0 - 1, c_0011_1 + 5024476685/3311500229*c_1001_3^14 - 16294215111/3311500229*c_1001_3^13 - 206659900322/3311500229*c_1001_3^12 + 300926263308/3311500229*c_1001_3^11 + 1459026748752/3311500229*c_1001_3^10 - 1293712090424/3311500229*c_1001_3^9 - 4082788791240/3311500229*c_1001_3^8 + 2072331748066/3311500229*c_1001_3^7 + 5122595447650/3311500229*c_1001_3^6 - 1405729294809/3311500229*c_1001_3^5 - 2849248370546/3311500229*c_1001_3^4 + 366699939023/3311500229*c_1001_3^3 + 596743255984/3311500229*c_1001_3^2 - 23373386562/3311500229*c_1001_3 - 34970818743/3311500229, c_0011_4 - 8229504179/3311500229*c_1001_3^14 + 32694426435/3311500229*c_1001_3^13 + 312777829578/3311500229*c_1001_3^12 - 711680561510/3311500229*c_1001_3^11 - 1809505218396/3311500229*c_1001_3^10 + 3202560561550/3311500229*c_1001_3^9 + 4152738098338/3311500229*c_1001_3^8 - 5352285037656/3311500229*c_1001_3^7 - 4417175436300/3311500229*c_1001_3^6 + 3788973157822/3311500229*c_1001_3^5 + 2125064541462/3311500229*c_1001_3^4 - 1046384261665/3311500229*c_1001_3^3 - 372198592536/3311500229*c_1001_3^2 + 75458390242/3311500229*c_1001_3 + 18488418341/3311500229, c_0101_0 - 1547258386/3311500229*c_1001_3^14 + 6196954428/3311500229*c_1001_3^13 + 58598396506/3311500229*c_1001_3^12 - 135258148028/3311500229*c_1001_3^11 - 337185215140/3311500229*c_1001_3^10 + 597164003465/3311500229*c_1001_3^9 + 795083369920/3311500229*c_1001_3^8 - 950921902558/3311500229*c_1001_3^7 - 943819161012/3311500229*c_1001_3^6 + 598346320066/3311500229*c_1001_3^5 + 587894252244/3311500229*c_1001_3^4 - 125667341482/3311500229*c_1001_3^3 - 172760067926/3311500229*c_1001_3^2 + 6943569540/3311500229*c_1001_3 + 14906563672/3311500229, c_0101_3 - 3902997302/3311500229*c_1001_3^14 + 14822990993/3311500229*c_1001_3^13 + 150771370625/3311500229*c_1001_3^12 - 310115894241/3311500229*c_1001_3^11 - 908321335925/3311500229*c_1001_3^10 + 1333803369507/3311500229*c_1001_3^9 + 2219309022407/3311500229*c_1001_3^8 - 2059212972179/3311500229*c_1001_3^7 - 2599757330848/3311500229*c_1001_3^6 + 1275593979847/3311500229*c_1001_3^5 + 1477484453664/3311500229*c_1001_3^4 - 277852795945/3311500229*c_1001_3^3 - 355841508257/3311500229*c_1001_3^2 + 19188071998/3311500229*c_1001_3 + 24191416888/3311500229, c_0101_5 - 3611427089/3311500229*c_1001_3^14 + 14877644011/3311500229*c_1001_3^13 + 134702104544/3311500229*c_1001_3^12 - 330026708303/3311500229*c_1001_3^11 - 733823480925/3311500229*c_1001_3^10 + 1459910825599/3311500229*c_1001_3^9 + 1577101005722/3311500229*c_1001_3^8 - 2336145460392/3311500229*c_1001_3^7 - 1608464365617/3311500229*c_1001_3^6 + 1500163770440/3311500229*c_1001_3^5 + 772224093911/3311500229*c_1001_3^4 - 329484711001/3311500229*c_1001_3^3 - 142029766811/3311500229*c_1001_3^2 + 15720530238/3311500229*c_1001_3 + 7358160032/3311500229, c_1001_3^15 - 4*c_1001_3^14 - 38*c_1001_3^13 + 88*c_1001_3^12 + 221*c_1001_3^11 - 407*c_1001_3^10 - 508*c_1001_3^9 + 718*c_1001_3^8 + 536*c_1001_3^7 - 564*c_1001_3^6 - 252*c_1001_3^5 + 194*c_1001_3^4 + 42*c_1001_3^3 - 25*c_1001_3^2 - 2*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB