Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 21011758] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s229 geometric_solution 4.38559495 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 1.521845116975 0.207981292116 0 2 2 0 3201 0132 1023 0132 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201846997571 0.338398115647 3 1 1 4 0132 0132 1023 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655561649555 0.543611317761 2 5 4 4 0132 0132 1302 2031 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442895887288 0.411678698183 3 3 2 5 2031 1302 0132 0132 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 0.442895887288 0.411678698183 5 3 4 5 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.788697653013 1.125924596786 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : 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' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 483857290251956061/21205932435704704*c_0101_5^21 - 2544956461058298431/2650741554463088*c_0101_5^19 + 273941348372515439191/21205932435704704*c_0101_5^17 - 295479041226187973565/2650741554463088*c_0101_5^15 + 2500012586413054083475/5301483108926176*c_0101_5^13 - 5995523705603041687051/5301483108926176*c_0101_5^11 + 34090007702774191097483/21205932435704704*c_0101_5^9 - 816090247780612367071/662685388615772*c_0101_5^7 + 10367419463770941243733/21205932435704704*c_0101_5^5 - 498535232328308222949/5301483108926176*c_0101_5^3 + 9084631355115777351/1325370777231544*c_0101_5, c_0011_0 - 1, c_0011_1 - 1869913073356895/1325370777231544*c_0101_5^20 + 19548545621367341/331342694307886*c_0101_5^18 - 1038439944697953789/1325370777231544*c_0101_5^16 + 4435526257772274079/662685388615772*c_0101_5^14 - 9104717528415632183/331342694307886*c_0101_5^12 + 20977324233777089359/331342694307886*c_0101_5^10 - 112711029963117660173/1325370777231544*c_0101_5^8 + 19421218988892480187/331342694307886*c_0101_5^6 - 27268743486407843535/1325370777231544*c_0101_5^4 + 2316125816111493877/662685388615772*c_0101_5^2 - 37603912778440008/165671347153943, c_0011_4 + 281931274928199/662685388615772*c_0101_5^20 - 23448844264535883/1325370777231544*c_0101_5^18 + 307751905954715657/1325370777231544*c_0101_5^16 - 1302607651309805619/662685388615772*c_0101_5^14 + 2599179270974384637/331342694307886*c_0101_5^12 - 5759812594116643851/331342694307886*c_0101_5^10 + 14601504551990245357/662685388615772*c_0101_5^8 - 17825624293547216313/1325370777231544*c_0101_5^6 + 5466726834588509991/1325370777231544*c_0101_5^4 - 417774813428474167/662685388615772*c_0101_5^2 + 6468359479160632/165671347153943, c_0101_0 - 10888406223277803/2650741554463088*c_0101_5^21 + 227161623942224821/1325370777231544*c_0101_5^19 - 6005453047986626669/2650741554463088*c_0101_5^17 + 25558754183581426477/1325370777231544*c_0101_5^15 - 51884561834567114871/662685388615772*c_0101_5^13 + 117724222423638332835/662685388615772*c_0101_5^11 - 618292987622075246389/2650741554463088*c_0101_5^9 + 203358173364512546395/1325370777231544*c_0101_5^7 - 134745983091791321655/2650741554463088*c_0101_5^5 + 10807754945026833177/1325370777231544*c_0101_5^3 - 167462027853677187/331342694307886*c_0101_5, c_0101_2 + 1419321463974907/2650741554463088*c_0101_5^21 - 3704501336553437/165671347153943*c_0101_5^19 + 784913852272972155/2650741554463088*c_0101_5^17 - 3345410398520117385/1325370777231544*c_0101_5^15 + 6821699416463232065/662685388615772*c_0101_5^13 - 15580394307534175453/662685388615772*c_0101_5^11 + 82682220077480538517/2650741554463088*c_0101_5^9 - 3477585873369382365/165671347153943*c_0101_5^7 + 19088722506545374329/2650741554463088*c_0101_5^5 - 1576383972385135121/1325370777231544*c_0101_5^3 + 12036419198675870/165671347153943*c_0101_5, c_0101_5^22 - 42*c_0101_5^20 + 563*c_0101_5^18 - 4846*c_0101_5^16 + 20348*c_0101_5^14 - 48468*c_0101_5^12 + 68607*c_0101_5^10 - 52830*c_0101_5^8 + 22489*c_0101_5^6 - 5302*c_0101_5^4 + 648*c_0101_5^2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB