Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 3103335550] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0290 geometric_solution 4.33440491 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.452066513589 0.099830819077 0 2 2 0 3201 0132 1023 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 -1 0 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 1.225918508653 0.137352953450 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251149141313 0.611528866219 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260110524880 0.290290555835 6 3 5 5 0132 0132 3201 2031 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131516969286 0.831823517966 4 4 6 3 2310 1302 2310 0132 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 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 0.131516969286 0.831823517966 4 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.814562961118 1.172859220233 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : 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_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_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' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 72286021974467615429/1432639799037632442*c_0101_6^20 + 2173782661523320033049/1432639799037632442*c_0101_6^18 - 1604310839476327909504/238773299839605407*c_0101_6^16 - 18897927963685057185959/1432639799037632442*c_0101_6^14 + 106323847225936625821091/1432639799037632442*c_0101_6^12 + 77802844375213545230731/1432639799037632442*c_0101_6^10 - 79615051303395421617711/477546599679210814*c_0101_6^8 - 60802063098440373398021/1432639799037632442*c_0101_6^6 + 34261779452235943287313/1432639799037632442*c_0101_6^4 + 2988318995941320296101/238773299839605407*c_0101_6^2 + 953108023391256248315/1432639799037632442, c_0011_0 - 1, c_0011_1 - 9941411555188708/238773299839605407*c_0101_6^20 + 300745144545892310/238773299839605407*c_0101_6^18 - 1377700990284996637/238773299839605407*c_0101_6^16 - 2357540537472592053/238773299839605407*c_0101_6^14 + 15076536899269127136/238773299839605407*c_0101_6^12 + 8026215290796979882/238773299839605407*c_0101_6^10 - 34591569800694730041/238773299839605407*c_0101_6^8 - 2220653670411525165/238773299839605407*c_0101_6^6 + 5646741155605666621/238773299839605407*c_0101_6^4 + 1484063241963357656/238773299839605407*c_0101_6^2 - 32195198958224135/238773299839605407, c_0011_5 + 74047730823059379/238773299839605407*c_0101_6^21 - 2227373800398835501/238773299839605407*c_0101_6^19 + 9879957113518075546/238773299839605407*c_0101_6^17 + 19244488367791280439/238773299839605407*c_0101_6^15 - 108918923598337251565/238773299839605407*c_0101_6^13 - 78597717543650730195/238773299839605407*c_0101_6^11 + 243702198821422814770/238773299839605407*c_0101_6^9 + 59827339861958865757/238773299839605407*c_0101_6^7 - 32012359850552412572/238773299839605407*c_0101_6^5 - 18504338643060500799/238773299839605407*c_0101_6^3 - 1202176880602029160/238773299839605407*c_0101_6, c_0101_0 - 394707100472208106/238773299839605407*c_0101_6^21 + 11867992360371511319/238773299839605407*c_0101_6^19 - 52512022202894456709/238773299839605407*c_0101_6^17 - 103397195850352770429/238773299839605407*c_0101_6^15 + 580108958760151985187/238773299839605407*c_0101_6^13 + 427108830493756234944/238773299839605407*c_0101_6^11 - 1302017708993183335777/238773299839605407*c_0101_6^9 - 336807518454606193300/238773299839605407*c_0101_6^7 + 184807736728652512543/238773299839605407*c_0101_6^5 + 98227111005902236257/238773299839605407*c_0101_6^3 + 5567130128455706614/238773299839605407*c_0101_6, c_0101_2 - 218066934379813696/238773299839605407*c_0101_6^21 + 6557680048778006617/238773299839605407*c_0101_6^19 - 29038697877590686530/238773299839605407*c_0101_6^17 - 56989696993950046608/238773299839605407*c_0101_6^15 + 320637898514368433162/238773299839605407*c_0101_6^13 + 234580177033065301702/238773299839605407*c_0101_6^11 - 719442606755931014839/238773299839605407*c_0101_6^9 - 182884466944887183348/238773299839605407*c_0101_6^7 + 101234412850440059290/238773299839605407*c_0101_6^5 + 53735804923300314395/238773299839605407*c_0101_6^3 + 2991852456119538366/238773299839605407*c_0101_6, c_0101_3 - 4449441944818869/238773299839605407*c_0101_6^20 + 132341122561979076/238773299839605407*c_0101_6^18 - 548204159615283084/238773299839605407*c_0101_6^16 - 1367665932927640429/238773299839605407*c_0101_6^14 + 6203903150434137569/238773299839605407*c_0101_6^12 + 7040149835804428249/238773299839605407*c_0101_6^10 - 13647206432837700417/238773299839605407*c_0101_6^8 - 8990681764672470601/238773299839605407*c_0101_6^6 + 2257358415593812411/238773299839605407*c_0101_6^4 + 2034976867410343276/238773299839605407*c_0101_6^2 + 181178339550248854/238773299839605407, c_0101_6^22 - 30*c_0101_6^20 + 131*c_0101_6^18 + 271*c_0101_6^16 - 1452*c_0101_6^14 - 1182*c_0101_6^12 + 3226*c_0101_6^10 + 1078*c_0101_6^8 - 412*c_0101_6^6 - 281*c_0101_6^4 - 31*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB