Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 139039966] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1501 geometric_solution 5.30912527 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 1 0 -1 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 -0.174408101468 0.135605968382 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 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 1 -1 0 -1 0 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 2.733122478519 2.681376802319 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 1 0 -1 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 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184224542297 0.454227048007 2 4 6 5 0132 2310 0132 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 -1 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 0.002726429753 1.042618446232 6 5 2 3 1023 2310 0132 3201 0 0 0 0 0 -1 1 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 1 0 -1 1 0 -1 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 0.002726429753 1.042618446232 5 5 3 4 1230 3012 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 -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 0.959087138217 1.044555850104 6 4 6 3 2031 1023 1302 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478669425379 0.480344673318 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 51349229039676/32707287681425*c_0101_3^13 - 15060840703459/6541457536285*c_0101_3^12 + 370800239141632/32707287681425*c_0101_3^11 - 666447333194323/32707287681425*c_0101_3^10 + 43214392777741/1308291507257*c_0101_3^9 - 1170505533889512/32707287681425*c_0101_3^8 + 22332907527066/4672469668775*c_0101_3^7 + 4153509195283114/32707287681425*c_0101_3^6 - 1569618927935106/6541457536285*c_0101_3^5 + 3150826000761028/32707287681425*c_0101_3^4 + 5653383547104773/32707287681425*c_0101_3^3 - 6706076726405472/32707287681425*c_0101_3^2 + 1860110754574/186898786751*c_0101_3 + 1013353501799102/32707287681425, c_0011_0 - 1, c_0011_2 + 307773381/6028993121*c_0101_3^13 - 446339199/6028993121*c_0101_3^12 + 2297236345/6028993121*c_0101_3^11 - 4154299770/6028993121*c_0101_3^10 + 7244865709/6028993121*c_0101_3^9 - 8472188088/6028993121*c_0101_3^8 + 4748356454/6028993121*c_0101_3^7 + 21274594072/6028993121*c_0101_3^6 - 41065417869/6028993121*c_0101_3^5 + 21549016729/6028993121*c_0101_3^4 + 18384327131/6028993121*c_0101_3^3 - 23661806685/6028993121*c_0101_3^2 + 5987933500/6028993121*c_0101_3 - 7264330506/6028993121, c_0011_4 + 68781916/150724828025*c_0011_5*c_0101_3^13 + 243109566/30144965605*c_0011_5*c_0101_3^12 + 4530736682/150724828025*c_0011_5*c_0101_3^11 + 3434750897/150724828025*c_0011_5*c_0101_3^10 + 4088735372/30144965605*c_0011_5*c_0101_3^9 - 33591176177/150724828025*c_0011_5*c_0101_3^8 + 36118390092/150724828025*c_0011_5*c_0101_3^7 - 91593112386/150724828025*c_0011_5*c_0101_3^6 + 8806725273/30144965605*c_0011_5*c_0101_3^5 + 259940592948/150724828025*c_0011_5*c_0101_3^4 - 436698939942/150724828025*c_0011_5*c_0101_3^3 - 15194237112/150724828025*c_0011_5*c_0101_3^2 + 63837203469/30144965605*c_0011_5*c_0101_3 - 71182422138/150724828025*c_0011_5, c_0011_5^2 + 3421095601/150724828025*c_0101_3^13 - 1360720996/30144965605*c_0101_3^12 + 28407300652/150724828025*c_0101_3^11 - 60032958698/150724828025*c_0101_3^10 + 4194070950/6028993121*c_0101_3^9 - 143186737332/150724828025*c_0101_3^8 + 93201279592/150724828025*c_0101_3^7 + 176515143934/150724828025*c_0101_3^6 - 119531781448/30144965605*c_0101_3^5 + 421418516008/150724828025*c_0101_3^4 + 138313395658/150724828025*c_0101_3^3 - 537338981877/150724828025*c_0101_3^2 + 5952738120/6028993121*c_0101_3 - 133119632713/150724828025, c_0101_0 - 4311825146/150724828025*c_0101_3^13 + 1339769706/30144965605*c_0101_3^12 - 31608905937/150724828025*c_0101_3^11 + 60585441318/150724828025*c_0101_3^10 - 19218706122/30144965605*c_0101_3^9 + 115182327007/150724828025*c_0101_3^8 - 31799694007/150724828025*c_0101_3^7 - 341316321079/150724828025*c_0101_3^6 + 140201521509/30144965605*c_0101_3^5 - 369140209793/150724828025*c_0101_3^4 - 213062322483/150724828025*c_0101_3^3 + 449568905327/150724828025*c_0101_3^2 - 38934459524/30144965605*c_0101_3 + 157660593443/150724828025, c_0101_1 - 388916134/6028993121*c_0101_3^13 + 534280037/6028993121*c_0101_3^12 - 3001447457/6028993121*c_0101_3^11 + 5098748589/6028993121*c_0101_3^10 - 9357452459/6028993121*c_0101_3^9 + 11282415679/6028993121*c_0101_3^8 - 4612086533/6028993121*c_0101_3^7 - 24936971357/6028993121*c_0101_3^6 + 55311409276/6028993121*c_0101_3^5 - 33664406622/6028993121*c_0101_3^4 - 18205266814/6028993121*c_0101_3^3 + 42757260379/6028993121*c_0101_3^2 - 15425992578/6028993121*c_0101_3 + 3878306661/6028993121, c_0101_3^14 - c_0101_3^13 + 7*c_0101_3^12 - 10*c_0101_3^11 + 18*c_0101_3^10 - 17*c_0101_3^9 - c_0101_3^8 + 77*c_0101_3^7 - 119*c_0101_3^6 + 28*c_0101_3^5 + 90*c_0101_3^4 - 85*c_0101_3^3 + 2*c_0101_3^2 - 8*c_0101_3 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB