Magma V2.19-8 Tue Aug 20 2013 16:16:30 on localhost [Seed = 1781266060] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0789 geometric_solution 4.73014340 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 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 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 0.504308468747 1.278809912470 0 3 0 2 0132 3120 0213 1302 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 1 -1 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 0.733125194742 0.676732927369 4 4 1 0 0132 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107240753167 0.330578355609 5 1 0 5 0132 3120 0132 3201 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 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 0.348493558728 0.674157405975 2 4 2 4 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.717124294290 2.920509087846 3 3 6 6 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.382514429950 1.146082652950 5 6 6 5 3201 3201 2310 0132 0 0 0 0 0 1 -1 0 1 0 -1 0 0 1 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 -0.599620683509 0.136722373772 ==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' : negation(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' : negation(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' : negation(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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_2']})} 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_3, c_0011_6, 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 + 26060632532/769885425*c_0101_5^21 - 11164921624/28514275*c_0101_5^20 + 1256353929628/769885425*c_0101_5^19 - 334449743936/153977085*c_0101_5^18 - 575366827006/153977085*c_0101_5^17 + 651324290686/51325695*c_0101_5^16 - 3905012792/85542825*c_0101_5^15 - 4640708957177/153977085*c_0101_5^14 + 1769057640739/153977085*c_0101_5^13 + 36422323129369/769885425*c_0101_5^12 - 653208188813/30795417*c_0101_5^11 - 42654686725909/769885425*c_0101_5^10 + 13459270298869/769885425*c_0101_5^9 + 7417062167762/153977085*c_0101_5^8 - 1868676524218/769885425*c_0101_5^7 - 21340040172998/769885425*c_0101_5^6 - 5841277937233/769885425*c_0101_5^5 + 5304273589399/769885425*c_0101_5^4 + 27748667488/5702855*c_0101_5^3 + 922666674677/769885425*c_0101_5^2 + 26289217079/769885425*c_0101_5 - 22571357168/769885425, c_0011_0 - 1, c_0011_2 - 193337/10265139*c_0101_5^21 + 1346525/1140571*c_0101_5^20 - 127853584/10265139*c_0101_5^19 + 540205180/10265139*c_0101_5^18 - 848015329/10265139*c_0101_5^17 - 247757882/3421713*c_0101_5^16 + 432010773/1140571*c_0101_5^15 - 1485900287/10265139*c_0101_5^14 - 7859451632/10265139*c_0101_5^13 + 6117530156/10265139*c_0101_5^12 + 10752073418/10265139*c_0101_5^11 - 9733509035/10265139*c_0101_5^10 - 11476023598/10265139*c_0101_5^9 + 8821111922/10265139*c_0101_5^8 + 9682420447/10265139*c_0101_5^7 - 4031973661/10265139*c_0101_5^6 - 5800508102/10265139*c_0101_5^5 + 33731186/10265139*c_0101_5^4 + 185525177/1140571*c_0101_5^3 + 639979402/10265139*c_0101_5^2 + 117324100/10265139*c_0101_5 + 301988/10265139, c_0011_3 - 20699/3421713*c_0101_5^21 + 512409/1140571*c_0101_5^20 - 16407520/3421713*c_0101_5^19 + 69540010/3421713*c_0101_5^18 - 112326223/3421713*c_0101_5^17 - 24365315/1140571*c_0101_5^16 + 148721031/1140571*c_0101_5^15 - 187369910/3421713*c_0101_5^14 - 834097328/3421713*c_0101_5^13 + 627154871/3421713*c_0101_5^12 + 1110654602/3421713*c_0101_5^11 - 889655414/3421713*c_0101_5^10 - 1181789383/3421713*c_0101_5^9 + 697631609/3421713*c_0101_5^8 + 982648453/3421713*c_0101_5^7 - 206019865/3421713*c_0101_5^6 - 557414867/3421713*c_0101_5^5 - 104671666/3421713*c_0101_5^4 + 42373221/1140571*c_0101_5^3 + 88699690/3421713*c_0101_5^2 + 25050265/3421713*c_0101_5 - 952006/3421713, c_0011_6 - 4126219/10265139*c_0101_5^21 + 5508525/1140571*c_0101_5^20 - 223239191/10265139*c_0101_5^19 + 387149153/10265139*c_0101_5^18 + 199160218/10265139*c_0101_5^17 - 515867236/3421713*c_0101_5^16 + 97231897/1140571*c_0101_5^15 + 2874708965/10265139*c_0101_5^14 - 2876296375/10265139*c_0101_5^13 - 3683232029/10265139*c_0101_5^12 + 4474394185/10265139*c_0101_5^11 + 3770831882/10265139*c_0101_5^10 - 4309002371/10265139*c_0101_5^9 - 3226986965/10265139*c_0101_5^8 + 2495176994/10265139*c_0101_5^7 + 2179759357/10265139*c_0101_5^6 - 676457446/10265139*c_0101_5^5 - 914652242/10265139*c_0101_5^4 - 8053468/1140571*c_0101_5^3 + 160966430/10265139*c_0101_5^2 + 68168558/10265139*c_0101_5 + 1270201/10265139, c_0101_0 - 100427/3421713*c_0101_5^21 + 1148698/1140571*c_0101_5^20 - 32293999/3421713*c_0101_5^19 + 128935990/3421713*c_0101_5^18 - 191220274/3421713*c_0101_5^17 - 64581593/1140571*c_0101_5^16 + 304226346/1140571*c_0101_5^15 - 323402333/3421713*c_0101_5^14 - 1823484428/3421713*c_0101_5^13 + 1388624795/3421713*c_0101_5^12 + 2440834526/3421713*c_0101_5^11 - 2186003561/3421713*c_0101_5^10 - 2544933862/3421713*c_0101_5^9 + 1936489922/3421713*c_0101_5^8 + 2101413271/3421713*c_0101_5^7 - 840053170/3421713*c_0101_5^6 - 1235586746/3421713*c_0101_5^5 - 29221012/3421713*c_0101_5^4 + 114343625/1140571*c_0101_5^3 + 146600992/3421713*c_0101_5^2 + 32825608/3421713*c_0101_5 + 228737/3421713, c_0101_2 + c_0101_5^2 - c_0101_5 - 1, c_0101_5^22 - 13*c_0101_5^21 + 65*c_0101_5^20 - 136*c_0101_5^19 - 5*c_0101_5^18 + 505*c_0101_5^17 - 534*c_0101_5^16 - 809*c_0101_5^15 + 1530*c_0101_5^14 + 802*c_0101_5^13 - 2433*c_0101_5^12 - 637*c_0101_5^11 + 2605*c_0101_5^10 + 597*c_0101_5^9 - 1894*c_0101_5^8 - 638*c_0101_5^7 + 842*c_0101_5^6 + 463*c_0101_5^5 - 128*c_0101_5^4 - 149*c_0101_5^3 - 42*c_0101_5^2 - 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB