Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 1646526077] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s662 geometric_solution 5.15579532 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 3201 2031 1302 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 0 1 -1 -1 0 1 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 0.540933947928 0.187408952526 0 2 0 3 0132 0132 2310 0132 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 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 0.903795803790 0.744004280487 4 1 5 3 0132 0132 0132 1230 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 -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 1.005661651200 0.977865714241 2 5 1 4 3012 3201 0132 1023 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 1 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.005661651200 0.977865714241 2 4 4 3 0132 3201 2310 1023 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 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 0.045108938571 0.803617672132 5 5 3 2 1302 2031 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 1 -1 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 0.711488743869 0.772854361158 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], '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' : negation(d['c_0011_0']), '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_5'], '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: 15 Groebner basis: [ t - 20397894128672036067/566416903155293969*c_0101_2^14 + 17259677549369088786/566416903155293969*c_0101_2^13 - 40875983403270207123/566416903155293969*c_0101_2^12 + 183974571645920034173/566416903155293969*c_0101_2^11 - 624668088217239506/566416903155293969*c_0101_2^10 + 287717889606193354974/566416903155293969*c_0101_2^9 - 55073160190022926879/566416903155293969*c_0101_2^8 + 166607548083588128653/566416903155293969*c_0101_2^7 - 70064579247299130490/566416903155293969*c_0101_2^6 - 243327055638858271182/566416903155293969*c_0101_2^5 + 22676816775942455994/566416903155293969*c_0101_2^4 - 223812511592095246545/566416903155293969*c_0101_2^3 - 47802011327718087519/566416903155293969*c_0101_2^2 + 131075584692619208562/566416903155293969*c_0101_2 + 40620464291066014660/566416903155293969, c_0011_0 - 1, c_0011_3 + 152694712349559/439423509042121*c_0101_2^14 - 183566743213308/439423509042121*c_0101_2^13 + 281077616987590/439423509042121*c_0101_2^12 - 1439351358497295/439423509042121*c_0101_2^11 + 331585680638499/439423509042121*c_0101_2^10 - 1553791807593891/439423509042121*c_0101_2^9 + 1244123187229490/439423509042121*c_0101_2^8 - 169939923368158/439423509042121*c_0101_2^7 + 1252107612591605/439423509042121*c_0101_2^6 + 2797334623346883/439423509042121*c_0101_2^5 - 435037251767404/439423509042121*c_0101_2^4 + 1509370360405316/439423509042121*c_0101_2^3 + 204820964919269/439423509042121*c_0101_2^2 - 1862183151641713/439423509042121*c_0101_2 - 365935942831068/439423509042121, c_0011_5 - 413256593334410739/566416903155293969*c_0101_2^14 + 404099744428700814/566416903155293969*c_0101_2^13 - 979312240799163782/566416903155293969*c_0101_2^12 + 3959666693745984221/566416903155293969*c_0101_2^11 - 772783533125187495/566416903155293969*c_0101_2^10 + 6863258187454855183/566416903155293969*c_0101_2^9 - 2311983256868202650/566416903155293969*c_0101_2^8 + 5329766537763382788/566416903155293969*c_0101_2^7 - 2716763925241384297/566416903155293969*c_0101_2^6 - 2709680836513817749/566416903155293969*c_0101_2^5 + 349170483081523683/566416903155293969*c_0101_2^4 - 4623657493962853587/566416903155293969*c_0101_2^3 - 310293058052328980/566416903155293969*c_0101_2^2 + 1712550623392569674/566416903155293969*c_0101_2 + 497003390478332747/566416903155293969, c_0101_0 - 497835718131167001/566416903155293969*c_0101_2^14 + 509836742644581207/566416903155293969*c_0101_2^13 - 1233999212467445862/566416903155293969*c_0101_2^12 + 4755869345524091871/566416903155293969*c_0101_2^11 - 1146970916772252368/566416903155293969*c_0101_2^10 + 8426854762059119740/566416903155293969*c_0101_2^9 - 2320108809193718061/566416903155293969*c_0101_2^8 + 7038364514357900243/566416903155293969*c_0101_2^7 - 2315123596372443623/566416903155293969*c_0101_2^6 - 3260917243801731947/566416903155293969*c_0101_2^5 + 1549434242524157135/566416903155293969*c_0101_2^4 - 6003454772283797461/566416903155293969*c_0101_2^3 - 434603039755961863/566416903155293969*c_0101_2^2 + 2117225419393418394/566416903155293969*c_0101_2 - 330006988426691731/566416903155293969, c_0101_1 + 1292469733191879495/566416903155293969*c_0101_2^14 - 1560876932655206628/566416903155293969*c_0101_2^13 + 3012145483024692811/566416903155293969*c_0101_2^12 - 12644155901612297026/566416903155293969*c_0101_2^11 + 4257846314195935657/566416903155293969*c_0101_2^10 - 18496100019058978066/566416903155293969*c_0101_2^9 + 10136696129408710168/566416903155293969*c_0101_2^8 - 11465353642052959238/566416903155293969*c_0101_2^7 + 8683525712639145605/566416903155293969*c_0101_2^6 + 15194859301550214239/566416903155293969*c_0101_2^5 - 7073917410448345824/566416903155293969*c_0101_2^4 + 16366976514626212673/566416903155293969*c_0101_2^3 - 3261258544307390837/566416903155293969*c_0101_2^2 - 9022644369890775412/566416903155293969*c_0101_2 - 134896034119081814/566416903155293969, c_0101_2^15 - 2/3*c_0101_2^14 + 16/9*c_0101_2^13 - 77/9*c_0101_2^12 - 16/9*c_0101_2^11 - 40/3*c_0101_2^10 - 2/9*c_0101_2^9 - 59/9*c_0101_2^8 + 10/9*c_0101_2^7 + 40/3*c_0101_2^6 + 2/9*c_0101_2^5 + 10*c_0101_2^4 + 14/3*c_0101_2^3 - 7*c_0101_2^2 - 26/9*c_0101_2 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB