Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 105355874] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s904 geometric_solution 5.66569972 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 -1 2 0 0 -1 1 0 -1 0 1 1 1 -2 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717101871454 0.741820406295 0 3 5 4 0132 0132 0132 0132 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 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 0.486458066801 0.665803429936 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 1 -1 0 0 0 1 -1 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 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 0.486458066801 0.665803429936 3 1 3 2 2310 0132 3201 2310 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 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 -0.271979430161 1.162531512585 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549618073570 1.586996743134 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411534044554 0.593343218134 ==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' : negation(d['1']), 's_2_0' : negation(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' : negation(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' : 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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : 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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 16148315109414458629730/97854728134304202727*c_0101_5^16 - 78873402963742191678104/97854728134304202727*c_0101_5^15 - 39684773641432574701024/97854728134304202727*c_0101_5^14 - 166116644605838244173753/97854728134304202727*c_0101_5^13 - 146286252878988048339832/97854728134304202727*c_0101_5^12 + 1292265407753882921608237/195709456268608405454*c_0101_5^11 - 199427918847561782790198/97854728134304202727*c_0101_5^10 + 930174560715348728588499/97854728134304202727*c_0101_5^9 - 501931088014799842238191/97854728134304202727*c_0101_5^8 - 508049529764005772592489/97854728134304202727*c_0101_5^7 + 553828327808537288055832/97854728134304202727*c_0101_5^6 - 12612167922192451360090/97854728134304202727*c_0101_5^5 - 1096508930105548794741177/195709456268608405454*c_0101_5^4 - 213228845014690061704738/97854728134304202727*c_0101_5^3 + 524401964616855011982949/195709456268608405454*c_0101_5^2 + 11374258535482927688139/97854728134304202727*c_0101_5 - 10688287816347093409077/97854728134304202727, c_0011_0 - 1, c_0011_4 - 16634468809475047736/97854728134304202727*c_0101_5^16 + 131765409845911609048/97854728134304202727*c_0101_5^15 - 198233336980292079052/97854728134304202727*c_0101_5^14 + 10196833670507757972/97854728134304202727*c_0101_5^13 - 393155623755987013832/97854728134304202727*c_0101_5^12 - 1189088909591628588216/97854728134304202727*c_0101_5^11 + 2162378722708835663834/97854728134304202727*c_0101_5^10 - 1242305872235338072621/97854728134304202727*c_0101_5^9 + 3398842802398179243862/97854728134304202727*c_0101_5^8 - 688530804486909751849/97854728134304202727*c_0101_5^7 - 2324218235225950178656/97854728134304202727*c_0101_5^6 + 1306873377082716198644/97854728134304202727*c_0101_5^5 + 838827556988036537606/97854728134304202727*c_0101_5^4 - 1489828697875444010131/97854728134304202727*c_0101_5^3 - 1246665679548727004926/97854728134304202727*c_0101_5^2 + 634799309113163104380/97854728134304202727*c_0101_5 + 149515062102249788534/97854728134304202727, c_0101_0 + 179428935607720129936/97854728134304202727*c_0101_5^16 - 949940590226874721712/97854728134304202727*c_0101_5^15 - 95503046874684670384/97854728134304202727*c_0101_5^14 - 1603073987947768524980/97854728134304202727*c_0101_5^13 - 809070952442564628008/97854728134304202727*c_0101_5^12 + 8007902579762644898588/97854728134304202727*c_0101_5^11 - 4976911118108914691018/97854728134304202727*c_0101_5^10 + 10752361272245266441544/97854728134304202727*c_0101_5^9 - 9860732447690590601515/97854728134304202727*c_0101_5^8 - 4140043387661481222174/97854728134304202727*c_0101_5^7 + 8607961057448856889898/97854728134304202727*c_0101_5^6 - 2131804057900168705037/97854728134304202727*c_0101_5^5 - 6245809848806149714118/97854728134304202727*c_0101_5^4 - 67854442063081341800/97854728134304202727*c_0101_5^3 + 4322241238310127130023/97854728134304202727*c_0101_5^2 - 756300731186200489546/97854728134304202727*c_0101_5 - 292419398669962028296/97854728134304202727, c_0101_1 + 66195517950084859748/97854728134304202727*c_0101_5^16 - 290845195445231918588/97854728134304202727*c_0101_5^15 - 318050955901582694932/97854728134304202727*c_0101_5^14 - 775822268915390631358/97854728134304202727*c_0101_5^13 - 943174271486383231802/97854728134304202727*c_0101_5^12 + 2309708665959104906099/97854728134304202727*c_0101_5^11 + 434729846410117880391/97854728134304202727*c_0101_5^10 + 3500830913218366341461/97854728134304202727*c_0101_5^9 - 243790264366947492297/97854728134304202727*c_0101_5^8 - 2865848260096514873032/97854728134304202727*c_0101_5^7 + 1184797764564774132275/97854728134304202727*c_0101_5^6 + 1087168457184492628685/97854728134304202727*c_0101_5^5 - 2164829049126677161082/97854728134304202727*c_0101_5^4 - 1979377830627022036676/97854728134304202727*c_0101_5^3 + 552098411560346208838/97854728134304202727*c_0101_5^2 + 505375917853229217961/97854728134304202727*c_0101_5 + 12739670206519764285/97854728134304202727, c_0101_2 + 3637466226994544/1423610691975271*c_0101_5^16 - 18871104694792300/1423610691975271*c_0101_5^15 - 3745073489802032/1423610691975271*c_0101_5^14 - 33841731393773180/1423610691975271*c_0101_5^13 - 20548393406084790/1423610691975271*c_0101_5^12 + 158081036631473316/1423610691975271*c_0101_5^11 - 85867014013344617/1423610691975271*c_0101_5^10 + 216843299833657206/1423610691975271*c_0101_5^9 - 178040844095585615/1423610691975271*c_0101_5^8 - 90929706779613415/1423610691975271*c_0101_5^7 + 159139615191040000/1423610691975271*c_0101_5^6 - 33299855912607725/1423610691975271*c_0101_5^5 - 126632874728874461/1423610691975271*c_0101_5^4 - 14218963629840916/1423610691975271*c_0101_5^3 + 79047256308840221/1423610691975271*c_0101_5^2 - 9244940664140403/1423610691975271*c_0101_5 - 4531679170438495/1423610691975271, c_0101_5^17 - 5*c_0101_5^16 - 2*c_0101_5^15 - 19/2*c_0101_5^14 - 15/2*c_0101_5^13 + 169/4*c_0101_5^12 - 63/4*c_0101_5^11 + 55*c_0101_5^10 - 149/4*c_0101_5^9 - 34*c_0101_5^8 + 40*c_0101_5^7 - c_0101_5^6 - 147/4*c_0101_5^5 - 39/4*c_0101_5^4 + 85/4*c_0101_5^3 + c_0101_5^2 - 2*c_0101_5 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB