Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 206409944] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1227 geometric_solution 5.12424359 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 1 -1 0 0 0 -1 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 -1 0 1 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 1.102175504046 1.161401938431 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069784079090 0.516941854472 4 4 0 5 3012 1023 0132 3012 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 -1 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 0.416634860370 0.538947797295 5 1 6 6 1230 0132 0132 2310 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -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 0.865966268224 1.768058218700 2 5 1 2 1023 2031 0132 1230 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 0 0 0 0 0 0 0 0 0 0 -0.679135783347 0.492480151495 4 3 2 1 1302 3012 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.294565245123 1.471698194383 3 6 6 3 3201 3201 2310 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 0 -1 0 1 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.604715395350 0.377172397085 ==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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 395/161*c_0110_2^4 + 647/161*c_0110_2^3 - 14/23*c_0110_2^2 + 982/161*c_0110_2 + 2593/161, c_0011_0 - 1, c_0011_2 + 1/23*c_0110_2^4 + 5/23*c_0110_2^3 - 10/23*c_0110_2^2 - 4/23*c_0110_2 - 10/23, c_0011_5 + 4/23*c_0110_2^4 - 3/23*c_0110_2^3 + 6/23*c_0110_2^2 - 16/23*c_0110_2 - 17/23, c_0011_6 - 3/23*c_0110_2^4 + 8/23*c_0110_2^3 + 7/23*c_0110_2^2 + 12/23*c_0110_2 + 30/23, c_0101_0 - 3/23*c_0110_2^4 + 8/23*c_0110_2^3 - 16/23*c_0110_2^2 + 12/23*c_0110_2 + 7/23, c_0101_3 - 10/23*c_0110_2^4 + 19/23*c_0110_2^3 - 15/23*c_0110_2^2 + 17/23*c_0110_2 + 31/23, c_0110_2^5 - 2*c_0110_2^4 + c_0110_2^3 - 3*c_0110_2^2 - 5*c_0110_2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 271/31*c_0110_2^7 - 1402/31*c_0110_2^6 + 4368/31*c_0110_2^5 - 8971/31*c_0110_2^4 + 7968/31*c_0110_2^3 - 100/31*c_0110_2^2 - 3197/31*c_0110_2 + 1656/31, c_0011_0 - 1, c_0011_2 + 18/31*c_0110_2^7 - 85/31*c_0110_2^6 + 247/31*c_0110_2^5 - 469/31*c_0110_2^4 + 269/31*c_0110_2^3 + 194/31*c_0110_2^2 - 146/31*c_0110_2 + 56/31, c_0011_5 - 5/31*c_0110_2^7 + 15/31*c_0110_2^6 - 29/31*c_0110_2^5 + 8/31*c_0110_2^4 + 175/31*c_0110_2^3 - 264/31*c_0110_2^2 + 137/31*c_0110_2 - 50/31, c_0011_6 - 13/31*c_0110_2^7 + 70/31*c_0110_2^6 - 218/31*c_0110_2^5 + 461/31*c_0110_2^4 - 444/31*c_0110_2^3 + 70/31*c_0110_2^2 + 40/31*c_0110_2 - 37/31, c_0101_0 + 32/31*c_0110_2^7 - 189/31*c_0110_2^6 + 663/31*c_0110_2^5 - 1564/31*c_0110_2^4 + 2135/31*c_0110_2^3 - 1584/31*c_0110_2^2 + 605/31*c_0110_2 - 114/31, c_0101_3 + 40/31*c_0110_2^7 - 213/31*c_0110_2^6 + 697/31*c_0110_2^5 - 1521/31*c_0110_2^4 + 1700/31*c_0110_2^3 - 864/31*c_0110_2^2 + 237/31*c_0110_2 - 34/31, c_0110_2^8 - 6*c_0110_2^7 + 21*c_0110_2^6 - 50*c_0110_2^5 + 69*c_0110_2^4 - 53*c_0110_2^3 + 25*c_0110_2^2 - 7*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB