Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 223121526] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3280 geometric_solution 6.40360319 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.033616583363 0.776477165015 0 0 4 3 0132 0321 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 1 0 -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 0.305157854017 1.058737199121 4 0 5 3 0321 0132 0132 2310 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 -1 0 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 0.151602927586 0.938241364309 2 1 5 0 3201 2310 2310 0132 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 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348021656018 0.610620998313 2 6 5 1 0321 0132 1023 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 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 0.128572323721 0.711492565740 6 3 4 2 0321 3201 1023 0132 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 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 0.788787752130 1.705624045012 5 4 6 6 0321 0132 1230 3012 0 0 0 0 0 -1 1 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 0 0 0 1.294394996333 0.904806925980 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 5372194105/562070198*c_1001_2^16 - 56758632043/562070198*c_1001_2^15 + 103062757420/281035099*c_1001_2^14 - 182602426193/562070198*c_1001_2^13 - 315810649571/281035099*c_1001_2^12 + 1473669559407/562070198*c_1001_2^11 + 60906498992/281035099*c_1001_2^10 - 3113143243327/562070198*c_1001_2^9 + 1111493756028/281035099*c_1001_2^8 + 2160626564557/562070198*c_1001_2^7 - 3147463974219/562070198*c_1001_2^6 + 95199326558/281035099*c_1001_2^5 + 612482177682/281035099*c_1001_2^4 - 507177573869/562070198*c_1001_2^3 - 8417190811/281035099*c_1001_2^2 + 9615400983/562070198*c_1001_2 - 3046634797/281035099, c_0011_0 - 1, c_0011_3 + 16603892/281035099*c_1001_2^16 - 216152799/281035099*c_1001_2^15 + 1098009217/281035099*c_1001_2^14 - 2434855112/281035099*c_1001_2^13 + 458744280/281035099*c_1001_2^12 + 8729867802/281035099*c_1001_2^11 - 14370020060/281035099*c_1001_2^10 - 4231835101/281035099*c_1001_2^9 + 33373208925/281035099*c_1001_2^8 - 24415582760/281035099*c_1001_2^7 - 20203846790/281035099*c_1001_2^6 + 35823829021/281035099*c_1001_2^5 - 7641901048/281035099*c_1001_2^4 - 12525582410/281035099*c_1001_2^3 + 7444539648/281035099*c_1001_2^2 - 873459691/281035099*c_1001_2 - 126412337/281035099, c_0011_4 + 33509987/281035099*c_1001_2^16 - 417551848/281035099*c_1001_2^15 + 1972098481/281035099*c_1001_2^14 - 3740397884/281035099*c_1001_2^13 - 1164657746/281035099*c_1001_2^12 + 16010025978/281035099*c_1001_2^11 - 18207676471/281035099*c_1001_2^10 - 16667536214/281035099*c_1001_2^9 + 50151001365/281035099*c_1001_2^8 - 20483550130/281035099*c_1001_2^7 - 38361134723/281035099*c_1001_2^6 + 42054399249/281035099*c_1001_2^5 - 1840894898/281035099*c_1001_2^4 - 16201038574/281035099*c_1001_2^3 + 7753467011/281035099*c_1001_2^2 - 482616147/281035099*c_1001_2 - 143016229/281035099, c_0011_5 - 54347032/281035099*c_1001_2^16 + 637327188/281035099*c_1001_2^15 - 2735745696/281035099*c_1001_2^14 + 4113108640/281035099*c_1001_2^13 + 4706988454/281035099*c_1001_2^12 - 22346188398/281035099*c_1001_2^11 + 13758919094/281035099*c_1001_2^10 + 35954862143/281035099*c_1001_2^9 - 55635860829/281035099*c_1001_2^8 - 5126960358/281035099*c_1001_2^7 + 58258816267/281035099*c_1001_2^6 - 27502419262/281035099*c_1001_2^5 - 17206520505/281035099*c_1001_2^4 + 14885927244/281035099*c_1001_2^3 - 796907983/281035099*c_1001_2^2 - 545348215/281035099*c_1001_2 - 348169095/281035099, c_0101_0 - 17481657/281035099*c_1001_2^16 + 246645259/281035099*c_1001_2^15 - 1334691407/281035099*c_1001_2^14 + 3044330047/281035099*c_1001_2^13 - 177214086/281035099*c_1001_2^12 - 12366351736/281035099*c_1001_2^11 + 17444504201/281035099*c_1001_2^10 + 12181670409/281035099*c_1001_2^9 - 45817561211/281035099*c_1001_2^8 + 17859861838/281035099*c_1001_2^7 + 40118846056/281035099*c_1001_2^6 - 36740453259/281035099*c_1001_2^5 - 7752093152/281035099*c_1001_2^4 + 16534498438/281035099*c_1001_2^3 - 2319764945/281035099*c_1001_2^2 - 928480624/281035099*c_1001_2 - 365650752/281035099, c_0101_5 - 27525188/281035099*c_1001_2^16 + 306087781/281035099*c_1001_2^15 - 1220448785/281035099*c_1001_2^14 + 1534788462/281035099*c_1001_2^13 + 2774379970/281035099*c_1001_2^12 - 9774578497/281035099*c_1001_2^11 + 4154667538/281035099*c_1001_2^10 + 17324041301/281035099*c_1001_2^9 - 23206514909/281035099*c_1001_2^8 - 4689825591/281035099*c_1001_2^7 + 27539434209/281035099*c_1001_2^6 - 13309749406/281035099*c_1001_2^5 - 8808807785/281035099*c_1001_2^4 + 9435353943/281035099*c_1001_2^3 - 1316593931/281035099*c_1001_2^2 - 637740503/281035099*c_1001_2 + 57903066/281035099, c_1001_2^17 - 12*c_1001_2^16 + 54*c_1001_2^15 - 94*c_1001_2^14 - 51*c_1001_2^13 + 428*c_1001_2^12 - 427*c_1001_2^11 - 486*c_1001_2^10 + 1261*c_1001_2^9 - 460*c_1001_2^8 - 980*c_1001_2^7 + 1064*c_1001_2^6 - 85*c_1001_2^5 - 405*c_1001_2^4 + 227*c_1001_2^3 - 34*c_1001_2^2 - c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB