Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2395935405] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s320 geometric_solution 4.50242219 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 0321 0132 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 1 0 -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 0.488563704722 1.014058945680 0 2 0 3 0132 2310 0321 2310 0 0 0 0 0 1 -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 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 0.488563704722 1.014058945680 4 0 4 1 0132 0132 2310 3201 0 0 0 0 0 1 -1 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 -1 1 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 -0.307850848399 1.644634451500 1 5 0 5 3201 0132 0132 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 -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 1.491879368140 0.617240315523 2 2 4 4 0132 3201 1230 3012 0 0 0 0 0 0 0 0 -1 0 1 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 -1 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 0.243546287603 0.141998915304 3 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.541152701317 0.312581991926 ==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' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0101_4']})} 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_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 34880980985536/13562081*c_0110_5^16 - 2680770310888/1043237*c_0110_5^15 - 130842404378258/13562081*c_0110_5^14 - 2286561224767/13562081*c_0110_5^13 + 569786624091/13562081*c_0110_5^12 - 69903659797709/13562081*c_0110_5^11 + 99274605701905/1043237*c_0110_5^10 + 1535915839268869/13562081*c_0110_5^9 - 3417262022341636/13562081*c_0110_5^8 - 4014619174001366/13562081*c_0110_5^7 + 3555122307733066/13562081*c_0110_5^6 + 4154684573470011/13562081*c_0110_5^5 - 1462270740075004/13562081*c_0110_5^4 - 1815796010632535/13562081*c_0110_5^3 + 103523669109998/13562081*c_0110_5^2 + 244538981237065/13562081*c_0110_5 + 35005777706212/13562081, c_0011_0 - 1, c_0011_3 + 2310665400400/13562081*c_0110_5^16 - 177687388384/1043237*c_0110_5^15 - 8665908057025/13562081*c_0110_5^14 - 146923949963/13562081*c_0110_5^13 + 36688951944/13562081*c_0110_5^12 - 4630486441132/13562081*c_0110_5^11 + 6576573416315/1043237*c_0110_5^10 + 101696068583058/13562081*c_0110_5^9 - 226419839855155/13562081*c_0110_5^8 - 265804423304677/13562081*c_0110_5^7 + 235623458987049/13562081*c_0110_5^6 + 275059795911987/13562081*c_0110_5^5 - 96983758988541/13562081*c_0110_5^4 - 120201340640662/13562081*c_0110_5^3 + 6905711921848/13562081*c_0110_5^2 + 16183422645777/13562081*c_0110_5 + 2313599892901/13562081, c_0101_0 + 8940648432/13562081*c_0110_5^16 - 688911472/1043237*c_0110_5^15 - 33504873315/13562081*c_0110_5^14 - 507765652/13562081*c_0110_5^13 + 116474758/13562081*c_0110_5^12 - 17919829409/13562081*c_0110_5^11 + 25447960448/1043237*c_0110_5^10 + 392789868794/13562081*c_0110_5^9 - 876608064726/13562081*c_0110_5^8 - 1026355692966/13562081*c_0110_5^7 + 913160989319/13562081*c_0110_5^6 + 1061810104027/13562081*c_0110_5^5 - 376767901206/13562081*c_0110_5^4 - 463897676824/13562081*c_0110_5^3 + 27329587625/13562081*c_0110_5^2 + 62426283198/13562081*c_0110_5 + 8894456497/13562081, c_0101_2 + 409694312884/13562081*c_0110_5^16 - 31590464423/1043237*c_0110_5^15 - 1535136542117/13562081*c_0110_5^1\ 4 - 22219883227/13562081*c_0110_5^13 + 5645882947/13562081*c_0110_5^12 - 820802328878/13562081*c_0110_5^11 + 1166233629651/1043237*c_0110_5^10 + 17989670817016/13562081*c_0110_5^9 - 40184360771005/13562081*c_0110_5^8 - 47010512322833/13562081*c_0110_5^7 + 41876250866196/13562081*c_0110_5^6 + 48632479076613/13562081*c_0110_5^5 - 17294035185133/13562081*c_0110_5^4 - 21241695618198/13562081*c_0110_5^3 + 1264542547656/13562081*c_0110_5^2 + 2856149666832/13562081*c_0110_5 + 405747144136/13562081, c_0101_4 - 2431017447212/13562081*c_0110_5^16 + 186937335669/1043237*c_0110_5^15 + 9117362074040/13562081*c_0110_5^14 + 154791444781/13562081*c_0110_5^13 - 38664149554/13562081*c_0110_5^12 + 4871677236507/13562081*c_0110_5^11 - 6919108369150/1043237*c_0110_5^10 - 106995384061677/13562081*c_0110_5^9 + 238210977197166/13562081*c_0110_5^8 + 279656034855748/13562081*c_0110_5^7 - 247890703618488/13562081*c_0110_5^6 - 289394754895263/13562081*c_0110_5^5 + 102029726117265/13562081*c_0110_5^4 + 126466397754064/13562081*c_0110_5^3 - 7263058163367/13562081*c_0110_5^2 - 17027133420406/13562081*c_0110_5 - 2434367620073/13562081, c_0110_5^17 - 3/4*c_0110_5^16 - 4*c_0110_5^15 - c_0110_5^14 - 2*c_0110_5^12 + 73/2*c_0110_5^11 + 213/4*c_0110_5^10 - 87*c_0110_5^9 - 279/2*c_0110_5^8 + 293/4*c_0110_5^7 + 289/2*c_0110_5^6 - 49/4*c_0110_5^5 - 125/2*c_0110_5^4 - 10*c_0110_5^3 + 31/4*c_0110_5^2 + 11/4*c_0110_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB