Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 1831662004] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1736 geometric_solution 5.43809445 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 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 1 0 -1 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 1.843743563798 0.940073201395 0 4 3 5 0132 0132 2310 0132 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 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 -0.049455792978 0.812496353813 0 0 2 2 3201 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 -1 0 1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301266587755 0.511469655925 5 1 4 0 1023 3201 3201 0132 0 0 0 0 0 0 1 -1 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 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 -0.049455792978 0.812496353813 3 1 4 4 2310 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301266587755 0.511469655925 6 3 1 6 0132 1023 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.163068582521 0.828722152717 5 5 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.040650425442 0.558159303276 ==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' : 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_0101_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0110_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_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1277*c_0110_2^8 - 3283*c_0110_2^7 - 20556*c_0110_2^6 + 14152*c_0110_2^5 + 42963*c_0110_2^4 - 26291*c_0110_2^3 - 19919*c_0110_2^2 + 17040*c_0110_2 - 3068, c_0011_0 - 1, c_0011_3 + 76*c_0110_2^8 - 198*c_0110_2^7 - 1218*c_0110_2^6 + 887*c_0110_2^5 + 2551*c_0110_2^4 - 1654*c_0110_2^3 - 1177*c_0110_2^2 + 1056*c_0110_2 - 196, c_0101_0 + c_0110_2^8 - 3*c_0110_2^7 - 15*c_0110_2^6 + 18*c_0110_2^5 + 29*c_0110_2^4 - 35*c_0110_2^3 - 7*c_0110_2^2 + 21*c_0110_2 - 7, c_0101_1 - 51*c_0110_2^8 + 132*c_0110_2^7 + 819*c_0110_2^6 - 580*c_0110_2^5 - 1712*c_0110_2^4 + 1079*c_0110_2^3 + 791*c_0110_2^2 - 693*c_0110_2 + 127, c_0101_3 - c_0110_2, c_0101_6 + 20*c_0110_2^8 - 55*c_0110_2^7 - 314*c_0110_2^6 + 282*c_0110_2^5 + 655*c_0110_2^4 - 537*c_0110_2^3 - 286*c_0110_2^2 + 330*c_0110_2 - 70, c_0110_2^9 - 3*c_0110_2^8 - 15*c_0110_2^7 + 18*c_0110_2^6 + 29*c_0110_2^5 - 35*c_0110_2^4 - 7*c_0110_2^3 + 20*c_0110_2^2 - 8*c_0110_2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3152/7*c_0110_2^13 + 17824/7*c_0110_2^12 + 34052/7*c_0110_2^11 + 15332/7*c_0110_2^10 - 3197*c_0110_2^9 - 11908/7*c_0110_2^8 + 17842/7*c_0110_2^7 + 2897/7*c_0110_2^6 - 9833/7*c_0110_2^5 + 3204/7*c_0110_2^4 + 1994/7*c_0110_2^3 - 2064/7*c_0110_2^2 + 774/7*c_0110_2 - 129/7, c_0011_0 - 1, c_0011_3 + 32*c_0110_2^13 + 224*c_0110_2^12 + 568*c_0110_2^11 + 496*c_0110_2^10 - 306*c_0110_2^9 - 738*c_0110_2^8 - 95*c_0110_2^7 + 352*c_0110_2^6 + 19*c_0110_2^5 - 121*c_0110_2^4 + 28*c_0110_2^3 + 19*c_0110_2^2 - 12*c_0110_2 + 2, c_0101_0 - 16*c_0110_2^13 - 112*c_0110_2^12 - 292*c_0110_2^11 - 296*c_0110_2^10 + 39*c_0110_2^9 + 239*c_0110_2^8 - 7*c_0110_2^7 - 142*c_0110_2^6 + 34*c_0110_2^5 + 54*c_0110_2^4 - 34*c_0110_2^3 - 3*c_0110_2^2 + 12*c_0110_2 - 4, c_0101_1 + 16*c_0110_2^12 + 96*c_0110_2^11 + 196*c_0110_2^10 + 100*c_0110_2^9 - 155*c_0110_2^8 - 164*c_0110_2^7 + 39*c_0110_2^6 + 55*c_0110_2^5 - 26*c_0110_2^4 - 7*c_0110_2^3 + 8*c_0110_2^2 - 2*c_0110_2, c_0101_3 + c_0110_2 + 1, c_0101_6 + 32*c_0110_2^13 + 224*c_0110_2^12 + 600*c_0110_2^11 + 688*c_0110_2^10 + 118*c_0110_2^9 - 378*c_0110_2^8 - 125*c_0110_2^7 + 184*c_0110_2^6 + 39*c_0110_2^5 - 73*c_0110_2^4 - 5*c_0110_2^3 + 13*c_0110_2^2 - 2*c_0110_2 - 1, c_0110_2^14 + 7*c_0110_2^13 + 73/4*c_0110_2^12 + 37/2*c_0110_2^11 - 39/16*c_0110_2^10 - 239/16*c_0110_2^9 + 7/16*c_0110_2^8 + 71/8*c_0110_2^7 - 17/8*c_0110_2^6 - 27/8*c_0110_2^5 + 17/8*c_0110_2^4 + 3/16*c_0110_2^3 - 11/16*c_0110_2^2 + 5/16*c_0110_2 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB