Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 1494795638] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s178 geometric_solution 4.27542342 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395896870135 0.054877078656 0 2 0 2 0132 0132 2310 2310 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 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 -1.067337388021 1.015668104855 1 1 3 4 3201 0132 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 1 0 0 -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 0.214658297740 1.132404150756 4 5 4 2 1302 0132 2031 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 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 0.572749880754 0.427915858022 5 3 2 3 0132 2031 0132 1302 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 0 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572749880754 0.427915858022 4 3 5 5 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.879497325259 0.837155763082 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), '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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 194535852994036753/549966084236332*c_0101_5^15 + 2228492376823247689/2199864336945328*c_0101_5^14 - 60535962300105791/137491521059083*c_0101_5^13 - 6718001136417122671/1099932168472664*c_0101_5^12 - 23994765937150337513/2199864336945328*c_0101_5^11 + 4493888844137923741/549966084236332*c_0101_5^10 + 42675866109343620965/1099932168472664*c_0101_5^9 - 5800213995942019095/549966084236332*c_0101_5^8 - 191908225513130859449/2199864336945328*c_0101_5^7 - 14899716825863124029/2199864336945328*c_0101_5^6 + 191496538977582105063/2199864336945328*c_0101_5^5 + 27190582026498422595/2199864336945328*c_0101_5^4 - 4784940846258407321/137491521059083*c_0101_5^3 - 13494939374138662155/2199864336945328*c_0101_5^2 + 5236685802024871167/1099932168472664*c_0101_5 + 302074649829965391/274983042118166, c_0011_0 - 1, c_0011_3 + 2232077092433381/549966084236332*c_0101_5^15 + 27425973615789989/2199864336945328*c_0101_5^14 - 2671262276143947/1099932168472664*c_0101_5^13 - 77264952873471455/1099932168472664*c_0101_5^12 - 305912189643539993/2199864336945328*c_0101_5^11 + 70589991498329701/1099932168472664*c_0101_5^10 + 498869025094818761/1099932168472664*c_0101_5^9 - 9396814143003175/274983042118166*c_0101_5^8 - 2202894431002972581/2199864336945328*c_0101_5^7 - 577394484556394827/2199864336945328*c_0101_5^6 + 2053960376407449865/2199864336945328*c_0101_5^5 + 624040181157219341/2199864336945328*c_0101_5^4 - 380902335802667221/1099932168472664*c_0101_5^3 - 224018745011039951/2199864336945328*c_0101_5^2 + 11687042628481529/274983042118166*c_0101_5 + 6671863287587459/549966084236332, c_0101_0 - 3354874876455535/274983042118166*c_0101_5^15 - 40399247396211959/1099932168472664*c_0101_5^14 + 1194736223346628/137491521059083*c_0101_5^13 + 114464734492576273/549966084236332*c_0101_5^12 + 446338986851024439/1099932168472664*c_0101_5^11 - 56153215287080359/274983042118166*c_0101_5^10 - 727930490061983847/549966084236332*c_0101_5^9 + 47281360759165861/274983042118166*c_0101_5^8 + 3211072119714521399/1099932168472664*c_0101_5^7 + 690152078551787619/1099932168472664*c_0101_5^6 - 2940096151150594033/1099932168472664*c_0101_5^5 - 725643030243887749/1099932168472664*c_0101_5^4 + 131435189460002510/137491521059083*c_0101_5^3 + 260075816030211725/1099932168472664*c_0101_5^2 - 61991183822700901/549966084236332*c_0101_5 - 4234099106942760/137491521059083, c_0101_1 - 2393852613472537/549966084236332*c_0101_5^15 - 28090143442180521/2199864336945328*c_0101_5^14 + 5567562186474797/1099932168472664*c_0101_5^13 + 84887316054133563/1099932168472664*c_0101_5^12 + 306776950173152517/2199864336945328*c_0101_5^11 - 109694878393655735/1099932168472664*c_0101_5^10 - 553258595444787925/1099932168472664*c_0101_5^9 + 13837598815538663/137491521059083*c_0101_5^8 + 2499823800160284809/2199864336945328*c_0101_5^7 + 352710836492292635/2199864336945328*c_0101_5^6 - 2597498817647628457/2199864336945328*c_0101_5^5 - 595527129802923981/2199864336945328*c_0101_5^4 + 557908593431267363/1099932168472664*c_0101_5^3 + 302301210492903771/2199864336945328*c_0101_5^2 - 41896650180655831/549966084236332*c_0101_5 - 12612853815726053/549966084236332, c_0101_4 - 13376069831033045/549966084236332*c_0101_5^15 - 156671209006280981/2199864336945328*c_0101_5^14 + 27060200070464779/1099932168472664*c_0101_5^13 + 459554432716658927/1099932168472664*c_0101_5^12 + 1706981109937113017/2199864336945328*c_0101_5^11 - 543469139126517133/1099932168472664*c_0101_5^10 - 2921175988922107713/1099932168472664*c_0101_5^9 + 153009762821965991/274983042118166*c_0101_5^8 + 13025340944200586757/2199864336945328*c_0101_5^7 + 1788465437813089483/2199864336945328*c_0101_5^6 - 12537752417649493993/2199864336945328*c_0101_5^5 - 2333951244431555645/2199864336945328*c_0101_5^4 + 2396374164732778477/1099932168472664*c_0101_5^3 + 984813353206826159/2199864336945328*c_0101_5^2 - 77519733717564335/274983042118166*c_0101_5 - 38377414930120859/549966084236332, c_0101_5^16 + 9/4*c_0101_5^15 - 3*c_0101_5^14 - 33/2*c_0101_5^13 - 81/4*c_0101_5^12 + 42*c_0101_5^11 + 191/2*c_0101_5^10 - 97*c_0101_5^9 - 913/4*c_0101_5^8 + 527/4*c_0101_5^7 + 1031/4*c_0101_5^6 - 461/4*c_0101_5^5 - 120*c_0101_5^4 + 169/4*c_0101_5^3 + 49/2*c_0101_5^2 - 5*c_0101_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB