Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 2160139449] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0228 geometric_solution 4.17730273 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 2.539199636692 0.920966985165 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.599276706620 0.105321930162 0 3 4 0 3201 0132 0132 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 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 0.278703116562 0.906735801414 5 2 4 4 0132 0132 1302 2031 0 0 0 0 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 -1 1 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 0.310169666709 0.310876157183 3 3 5 2 2031 1302 2310 0132 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 0 1 -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 0.310169666709 0.310876157183 3 4 6 6 0132 3201 2310 0132 0 0 0 0 0 -1 1 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 -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 -0.519941402935 2.069112424706 6 5 5 6 3201 3201 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 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 -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 -0.421006576601 0.539888946721 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], '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_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 11190032450055454456/2913035498399857995*c_0101_5^11 + 75426128580541504984/2913035498399857995*c_0101_5^10 + 100337734926065320774/2913035498399857995*c_0101_5^9 - 497820483701669182316/2913035498399857995*c_0101_5^8 - 38267789580521010350/64734122186663511*c_0101_5^7 - 52096899458708405719/194202366559990533*c_0101_5^6 + 87938857234440821116/971011832799952665*c_0101_5^5 + 1221422391731624661047/2913035498399857995*c_0101_5^4 + 105447277291297130519/2913035498399857995*c_0101_5^3 - 774151301468813457863/2913035498399857995*c_0101_5^2 + 55403600809720034447/582607099679971599*c_0101_5 + 84115556996783572364/2913035498399857995, c_0011_0 - 1, c_0011_2 - 119522452962038/21578040728887837*c_0101_5^11 + 395094174602128/21578040728887837*c_0101_5^10 + 4001205744389370/21578040728887837*c_0101_5^9 - 2704080620699059/21578040728887837*c_0101_5^8 - 38496825122618480/21578040728887837*c_0101_5^7 - 62956035180704147/21578040728887837*c_0101_5^6 + 999729705937283/21578040728887837*c_0101_5^5 + 28404137316112617/21578040728887837*c_0101_5^4 + 17684124550220247/21578040728887837*c_0101_5^3 - 19137540635778772/21578040728887837*c_0101_5^2 - 22997786923612703/21578040728887837*c_0101_5 + 27190945028185076/21578040728887837, c_0011_4 - 674346610622706/21578040728887837*c_0101_5^11 + 4460164900089198/21578040728887837*c_0101_5^10 + 5953263079443778/21578040728887837*c_0101_5^9 - 25021409321654691/21578040728887837*c_0101_5^8 - 99964444242534737/21578040728887837*c_0101_5^7 - 85347254989701987/21578040728887837*c_0101_5^6 - 101209288650989984/21578040728887837*c_0101_5^5 - 27975591744866272/21578040728887837*c_0101_5^4 - 49940088455283506/21578040728887837*c_0101_5^3 - 21610285415452715/21578040728887837*c_0101_5^2 + 23497498631434218/21578040728887837*c_0101_5 - 23780694356791346/21578040728887837, c_0011_6 + 827541075603454/21578040728887837*c_0101_5^11 - 6325952077342264/21578040728887837*c_0101_5^10 - 2276640527183314/21578040728887837*c_0101_5^9 + 42629332036162129/21578040728887837*c_0101_5^8 + 94493277034370262/21578040728887837*c_0101_5^7 - 50854643490409067/21578040728887837*c_0101_5^6 - 63307311404155604/21578040728887837*c_0101_5^5 - 98060576011464568/21578040728887837*c_0101_5^4 + 41559953287846514/21578040728887837*c_0101_5^3 + 36234872456497468/21578040728887837*c_0101_5^2 - 65775327747787499/21578040728887837*c_0101_5 + 11905967840804228/21578040728887837, c_0101_0 + 4042901050936804/21578040728887837*c_0101_5^11 - 27223807960576712/21578040728887837*c_0101_5^10 - 35701488432102676/21578040728887837*c_0101_5^9 + 174969237563248868/21578040728887837*c_0101_5^8 + 615246296396760528/21578040728887837*c_0101_5^7 + 313383759391329346/21578040728887837*c_0101_5^6 + 28550686094001547/21578040728887837*c_0101_5^5 - 324931105762295940/21578040728887837*c_0101_5^4 + 32655855567210460/21578040728887837*c_0101_5^3 + 240006762453285069/21578040728887837*c_0101_5^2 - 109005658144354134/21578040728887837*c_0101_5 - 4496658116679750/21578040728887837, c_0101_1 - 2339143001221640/21578040728887837*c_0101_5^11 + 15899474739741790/21578040728887837*c_0101_5^10 + 19732633388245212/21578040728887837*c_0101_5^9 - 103014184818922386/21578040728887837*c_0101_5^8 - 350269726551976577/21578040728887837*c_0101_5^7 - 157114803148999626/21578040728887837*c_0101_5^6 + 6589616151197739/21578040728887837*c_0101_5^5 + 210767192500776769/21578040728887837*c_0101_5^4 - 5308315490426047/21578040728887837*c_0101_5^3 - 146880075270398890/21578040728887837*c_0101_5^2 + 64773125142387361/21578040728887837*c_0101_5 + 8207378436165965/21578040728887837, c_0101_5^12 - 7*c_0101_5^11 - 7*c_0101_5^10 + 91/2*c_0101_5^9 + 279/2*c_0101_5^8 + 75/2*c_0101_5^7 - 3*c_0101_5^6 - 121/2*c_0101_5^5 + 89/2*c_0101_5^4 + 65*c_0101_5^3 - 49*c_0101_5^2 + 17/2*c_0101_5 + 9/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB