Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 2598045260] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1511 geometric_solution 5.31579255 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 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 -1 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 0.310663116365 0.628016390429 3 2 4 0 0132 3012 0132 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 -1 0 1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696192590681 1.071826787432 1 3 0 4 1230 0132 0132 2310 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 -1 0 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696192590681 1.071826787432 1 2 3 3 0132 0132 1230 3012 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 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 0.980987706301 0.934542749825 2 5 5 1 3201 0132 3201 0132 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 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 0.121730645476 0.514750885924 4 4 6 6 2310 0132 2310 0132 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 2.732856640263 1.511182260441 6 5 5 6 3201 3201 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 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 -0.547928356319 0.141403932926 ==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_2_6' : d['1'], 's_1_6' : 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_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' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), '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' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 197087/20232*c_0101_5^9 + 719057/3372*c_0101_5^7 - 9026929/10116*c_0101_5^5 + 1641539/2248*c_0101_5^3 - 6841049/20232*c_0101_5, c_0011_0 - 1, c_0011_1 - 323/5058*c_0101_5^9 + 1163/843*c_0101_5^7 - 13861/2529*c_0101_5^5 + 2117/562*c_0101_5^3 - 12665/5058*c_0101_5, c_0011_4 + 17/281*c_0101_5^8 - 1087/843*c_0101_5^6 + 4037/843*c_0101_5^4 - 1559/843*c_0101_5^2 + 787/843, c_0011_6 - 89/2529*c_0101_5^8 + 647/843*c_0101_5^6 - 7910/2529*c_0101_5^4 + 1355/843*c_0101_5^2 - 1715/2529, c_0101_0 - 89/2529*c_0101_5^8 + 647/843*c_0101_5^6 - 7910/2529*c_0101_5^4 + 1355/843*c_0101_5^2 + 814/2529, c_0101_1 - 167/1686*c_0101_5^9 + 1810/843*c_0101_5^7 - 2419/281*c_0101_5^5 + 9061/1686*c_0101_5^3 - 1993/1686*c_0101_5, c_0101_5^10 - 22*c_0101_5^8 + 94*c_0101_5^6 - 85*c_0101_5^4 + 43*c_0101_5^2 - 4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 577362267464/641720501*c_0101_5^13 - 40689090160418/27593981543*c_0101_5^11 - 73835444493258/27593981543*c_0101_5^9 - 47679012040745/27593981543*c_0101_5^7 + 207314263346274/27593981543*c_0101_5^5 + 191406844863051/27593981543*c_0101_5^3 + 46854431577340/27593981543*c_0101_5, c_0011_0 - 1, c_0011_1 + 2961811604/641720501*c_0101_5^13 - 234495729734/27593981543*c_0101_5^11 - 331305408691/27593981543*c_0101_5^9 - 177439819180/27593981543*c_0101_5^7 + 1093646357106/27593981543*c_0101_5^5 + 763377014488/27593981543*c_0101_5^3 + 109658831825/27593981543*c_0101_5, c_0011_4 - 699253091/641720501*c_0101_5^12 + 68940442650/27593981543*c_0101_5^10 + 37801151316/27593981543*c_0101_5^8 + 26918607077/27593981543*c_0101_5^6 - 260234538333/27593981543*c_0101_5^4 - 21166057194/27593981543*c_0101_5^2 + 11594235516/27593981543, c_0011_6 + 131866871/641720501*c_0101_5^12 - 26186762585/27593981543*c_0101_5^10 + 12586207391/27593981543*c_0101_5^8 + 20820329880/27593981543*c_0101_5^6 + 67889518409/27593981543*c_0101_5^4 - 57475626402/27593981543*c_0101_5^2 - 13995715973/27593981543, c_0101_0 - 150988858/641720501*c_0101_5^12 + 20087893250/27593981543*c_0101_5^10 - 3769018575/27593981543*c_0101_5^8 + 9109992645/27593981543*c_0101_5^6 - 58475512337/27593981543*c_0101_5^4 + 17350028753/27593981543*c_0101_5^2 - 21413348976/27593981543, c_0101_1 + 3112800462/641720501*c_0101_5^13 - 254583622984/27593981543*c_0101_5^11 - 327536390116/27593981543*c_0101_5^9 - 186549811825/27593981543*c_0101_5^7 + 1152121869443/27593981543*c_0101_5^5 + 746026985735/27593981543*c_0101_5^3 + 131072180801/27593981543*c_0101_5, c_0101_5^14 - 71/43*c_0101_5^12 - 127/43*c_0101_5^10 - 81/43*c_0101_5^8 + 360/43*c_0101_5^6 + 327/43*c_0101_5^4 + 77/43*c_0101_5^2 - 1/43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB