Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 2901225669] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s853 geometric_solution 5.47593628 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 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 0.413173603513 0.698174593049 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817976277591 0.996086568592 1 3 0 4 1230 2310 0132 3201 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 0 1 -1 -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 0.817976277591 0.996086568592 1 5 5 2 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703503638905 0.455107480550 4 2 4 1 2031 2310 1302 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246772696549 0.899916458918 5 3 3 5 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.186282607517 0.472301159000 ==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' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], '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_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 51729013226818747/1415451632690161*c_0101_5^19 + 301020550839285413/1415451632690161*c_0101_5^18 - 1032236183821549461/1415451632690161*c_0101_5^17 - 2473490029438035934/1415451632690161*c_0101_5^16 + 6969009457970970328/1415451632690161*c_0101_5^15 + 6655521135840190562/1415451632690161*c_0101_5^14 - 23747699061993466575/1415451632690161*c_0101_5^13 - 84918245353036043/128677421153651*c_0101_5^12 + 40137451883647316019/1415451632690161*c_0101_5^11 - 19530917772980746989/1415451632690161*c_0101_5^10 - 32432745428756619119/1415451632690161*c_0101_5^9 + 24143419531769072704/1415451632690161*c_0101_5^8 + 16845168004858145935/1415451632690161*c_0101_5^7 - 12411922314072704219/1415451632690161*c_0101_5^6 - 7530631336261849580/1415451632690161*c_0101_5^5 + 3571423958586175036/1415451632690161*c_0101_5^4 + 2319787243132730490/1415451632690161*c_0101_5^3 - 578464306599545847/1415451632690161*c_0101_5^2 - 330204421745755234/1415451632690161*c_0101_5 + 48585377493826610/1415451632690161, c_0011_0 - 1, c_0011_1 + 146213018788026/128677421153651*c_0101_5^19 + 1068171690332040/128677421153651*c_0101_5^18 - 1493132083132391/128677421153651*c_0101_5^17 - 10213782310532422/128677421153651*c_0101_5^16 + 7380475455087918/128677421153651*c_0101_5^15 + 38108195274038580/128677421153651*c_0101_5^14 - 28649822513160620/128677421153651*c_0101_5^13 - 68905156923944850/128677421153651*c_0101_5^12 + 71507754962936630/128677421153651*c_0101_5^11 + 65488019092555399/128677421153651*c_0101_5^10 - 94833123754101710/128677421153651*c_0101_5^9 - 42012511434191720/128677421153651*c_0101_5^8 + 65699371807927798/128677421153651*c_0101_5^7 + 28253908601778064/128677421153651*c_0101_5^6 - 25503682061870554/128677421153651*c_0101_5^5 - 14887080203828025/128677421153651*c_0101_5^4 + 5371019328379250/128677421153651*c_0101_5^3 + 4071034099347023/128677421153651*c_0101_5^2 - 224422728407212/128677421153651*c_0101_5 - 388420182894012/128677421153651, c_0011_4 + 953268422538939/128677421153651*c_0101_5^19 + 6095040821079395/128677421153651*c_0101_5^18 - 15439651393235431/128677421153651*c_0101_5^17 - 53979824920647085/128677421153651*c_0101_5^16 + 95901294196325255/128677421153651*c_0101_5^15 + 173979990335719185/128677421153651*c_0101_5^14 - 328130817007180108/128677421153651*c_0101_5^13 - 196161571008315332/128677421153651*c_0101_5^12 + 596867567222128110/128677421153651*c_0101_5^11 - 17185008065539851/128677421153651*c_0101_5^10 - 563393280525606400/128677421153651*c_0101_5^9 + 96205549350764680/128677421153651*c_0101_5^8 + 340016587191160769/128677421153651*c_0101_5^7 - 13051146423117441/128677421153651*c_0101_5^6 - 137391704450015387/128677421153651*c_0101_5^5 - 18151086573809797/128677421153651*c_0101_5^4 + 30871354588924391/128677421153651*c_0101_5^3 + 7760468106950954/128677421153651*c_0101_5^2 - 2051224815036568/128677421153651*c_0101_5 - 620496801353671/128677421153651, c_0101_0 - 69609423168619/128677421153651*c_0101_5^19 - 664255191264004/128677421153651*c_0101_5^18 - 208567511290409/128677421153651*c_0101_5^17 + 7890804607031036/128677421153651*c_0101_5^16 + 4243268812106789/128677421153651*c_0101_5^15 - 38038039322691060/128677421153651*c_0101_5^14 - 8654231719299622/128677421153651*c_0101_5^13 + 98874560656440090/128677421153651*c_0101_5^12 - 22802112539671610/128677421153651*c_0101_5^11 - 140313020774185419/128677421153651*c_0101_5^10 + 84491288416029253/128677421153651*c_0101_5^9 + 107772990196632845/128677421153651*c_0101_5^8 - 76518983630515065/128677421153651*c_0101_5^7 - 61906747241310127/128677421153651*c_0101_5^6 + 28279163442781513/128677421153651*c_0101_5^5 + 27310168366207587/128677421153651*c_0101_5^4 - 4219945873884602/128677421153651*c_0101_5^3 - 6596289436003231/128677421153651*c_0101_5^2 - 267126918366017/128677421153651*c_0101_5 + 487882313040882/128677421153651, c_0101_1 - 422209957031401/128677421153651*c_0101_5^19 - 3239929512475055/128677421153651*c_0101_5^18 + 3458094914011394/128677421153651*c_0101_5^17 + 33123454556605435/128677421153651*c_0101_5^16 - 13216324557062264/128677421153651*c_0101_5^15 - 135570716945237355/128677421153651*c_0101_5^14 + 55501143093389417/128677421153651*c_0101_5^13 + 286307304453942338/128677421153651*c_0101_5^12 - 183836388835829438/128677421153651*c_0101_5^11 - 344419727762338131/128677421153651*c_0101_5^10 + 315821016825326178/128677421153651*c_0101_5^9 + 268237106472765935/128677421153651*c_0101_5^8 - 259202603877659355/128677421153651*c_0101_5^7 - 167942298785046162/128677421153651*c_0101_5^6 + 99857717947140608/128677421153651*c_0101_5^5 + 78113276370806500/128677421153651*c_0101_5^4 - 16482698588107181/128677421153651*c_0101_5^3 - 20340510111321000/128677421153651*c_0101_5^2 + 12626935569014/128677421153651*c_0101_5 + 1563342501995686/128677421153651, c_0101_5^20 + 6*c_0101_5^19 - 19*c_0101_5^18 - 52*c_0101_5^17 + 128*c_0101_5^16 + 158*c_0101_5^15 - 449*c_0101_5^14 - 116*c_0101_5^13 + 819*c_0101_5^12 - 228*c_0101_5^11 - 779*c_0101_5^10 + 381*c_0101_5^9 + 487*c_0101_5^8 - 224*c_0101_5^7 - 234*c_0101_5^6 + 65*c_0101_5^5 + 79*c_0101_5^4 - 8*c_0101_5^3 - 15*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB