Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 2530675369] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s045 geometric_solution 3.58867524 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 -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 0.709121848563 0.072505967178 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 1 -1 -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 -1 1 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 0.895273702343 0.070191159677 1 3 1 3 0132 0132 1023 1023 0 0 0 0 0 0 -1 1 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 1 -1 -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 0.855065221274 0.164600386701 4 2 5 2 0132 0132 0132 1023 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 0 0 0 -1 0 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 0.958171636110 0.501430530771 3 5 5 5 0132 0213 3012 1230 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 0 0 0 0.974649135633 0.993197106602 4 4 4 3 3012 1230 0213 0132 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 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 0.974649135633 0.993197106602 ==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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], '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' : negation(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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_4'], '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_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 171438956284081/14269244742572*c_0101_4^13 - 48805716236880/3567311185643*c_0101_4^12 + 2217171502633909/14269244742572*c_0101_4^11 + 6492365795320451/14269244742572*c_0101_4^10 + 3779816162503103/14269244742572*c_0101_4^9 - 17486733435336181/14269244742572*c_0101_4^8 - 19722846021281905/7134622371286*c_0101_4^7 + 1531208376402229/3567311185643*c_0101_4^6 + 17255833263878874/3567311185643*c_0101_4^5 + 26288796887004923/14269244742572*c_0101_4^4 - 43283075265264403/14269244742572*c_0101_4^3 - 13408375197595973/7134622371286*c_0101_4^2 + 3248814837721525/7134622371286*c_0101_4 + 5438132865656905/14269244742572, c_0011_0 - 1, c_0011_1 - 45021478353/375506440594*c_0101_4^13 - 2720326373/375506440594*c_0101_4^12 + 304113001691/187753220297*c_0101_4^11 + 1090047266369/375506440594*c_0101_4^10 - 212909336413/187753220297*c_0101_4^9 - 5124195191547/375506440594*c_0101_4^8 - 6313503958091/375506440594*c_0101_4^7 + 8733532736223/375506440594*c_0101_4^6 + 13105689222227/375506440594*c_0101_4^5 - 1836478766201/187753220297*c_0101_4^4 - 9044780001897/375506440594*c_0101_4^3 - 782609558683/375506440594*c_0101_4^2 + 1130522698873/375506440594*c_0101_4 + 107948520548/187753220297, c_0011_5 - 13234964767/751012881188*c_0101_4^13 - 9574061781/187753220297*c_0101_4^12 + 105536540499/751012881188*c_0101_4^11 + 735961135609/751012881188*c_0101_4^10 + 1603454294113/751012881188*c_0101_4^9 + 835687138757/751012881188*c_0101_4^8 - 1587420829133/375506440594*c_0101_4^7 - 1572194694422/187753220297*c_0101_4^6 - 603236654193/187753220297*c_0101_4^5 + 5718605735449/751012881188*c_0101_4^4 + 5828015912615/751012881188*c_0101_4^3 + 276631086699/375506440594*c_0101_4^2 - 865423839307/375506440594*c_0101_4 - 438045310705/751012881188, c_0101_0 + 178386815085/751012881188*c_0101_4^13 + 25895333529/187753220297*c_0101_4^12 - 2302215597125/751012881188*c_0101_4^11 - 5372476394999/751012881188*c_0101_4^10 - 1648961175931/751012881188*c_0101_4^9 + 16534632625401/751012881188*c_0101_4^8 + 14358430991535/375506440594*c_0101_4^7 - 4928529047129/187753220297*c_0101_4^6 - 12052147908007/187753220297*c_0101_4^5 + 5088561657373/751012881188*c_0101_4^4 + 31583412198951/751012881188*c_0101_4^3 + 1237473096283/375506440594*c_0101_4^2 - 3473660862179/375506440594*c_0101_4 - 899556423941/751012881188, c_0101_1 + 171080384415/751012881188*c_0101_4^13 + 3992389380/187753220297*c_0101_4^12 - 2315052991019/751012881188*c_0101_4^11 - 4190677000381/751012881188*c_0101_4^10 + 1559744185547/751012881188*c_0101_4^9 + 19303985474563/751012881188*c_0101_4^8 + 11843166983119/375506440594*c_0101_4^7 - 8420837833151/187753220297*c_0101_4^6 - 12452192084961/187753220297*c_0101_4^5 + 17454508921011/751012881188*c_0101_4^4 + 35682123974209/751012881188*c_0101_4^3 - 46881703083/375506440594*c_0101_4^2 - 2878508766197/375506440594*c_0101_4 + 19992056125/751012881188, c_0101_4^14 + c_0101_4^13 - 13*c_0101_4^12 - 36*c_0101_4^11 - 18*c_0101_4^10 + 102*c_0101_4^9 + 215*c_0101_4^8 - 58*c_0101_4^7 - 380*c_0101_4^6 - 107*c_0101_4^5 + 240*c_0101_4^4 + 121*c_0101_4^3 - 36*c_0101_4^2 - 23*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB