Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 1747580081] 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' : negation(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' : negation(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: 10 Groebner basis: [ t - 323*c_0110_2^9 + 1202*c_0110_2^8 + 3142*c_0110_2^7 - 12093*c_0110_2^6 + 773*c_0110_2^5 + 15454*c_0110_2^4 - 132*c_0110_2^3 - 6524*c_0110_2^2 - 2330*c_0110_2 - 233, c_0011_0 - 1, c_0011_3 - 14*c_0110_2^9 + 70*c_0110_2^8 + 65*c_0110_2^7 - 680*c_0110_2^6 + 743*c_0110_2^5 + 445*c_0110_2^4 - 800*c_0110_2^3 - 75*c_0110_2^2 + 204*c_0110_2 + 42, c_0101_0 - c_0110_2^9 + 5*c_0110_2^8 + 5*c_0110_2^7 - 50*c_0110_2^6 + 50*c_0110_2^5 + 46*c_0110_2^4 - 62*c_0110_2^3 - 21*c_0110_2^2 + 20*c_0110_2 + 8, c_0101_1 + 5*c_0110_2^8 - 20*c_0110_2^7 - 43*c_0110_2^6 + 199*c_0110_2^5 - 68*c_0110_2^4 - 219*c_0110_2^3 + 62*c_0110_2^2 + 84*c_0110_2 + 14, c_0101_3 - c_0110_2 + 1, c_0101_6 - 6*c_0110_2^9 + 30*c_0110_2^8 + 29*c_0110_2^7 - 296*c_0110_2^6 + 309*c_0110_2^5 + 235*c_0110_2^4 - 363*c_0110_2^3 - 71*c_0110_2^2 + 106*c_0110_2 + 27, c_0110_2^10 - 5*c_0110_2^9 - 5*c_0110_2^8 + 50*c_0110_2^7 - 50*c_0110_2^6 - 46*c_0110_2^5 + 62*c_0110_2^4 + 21*c_0110_2^3 - 19*c_0110_2^2 - 9*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 + 99105/13*c_0110_2^13 - 558656/13*c_0110_2^12 + 4494911/52*c_0110_2^11 - 1279345/26*c_0110_2^10 - 13106253/208*c_0110_2^9 + 16255501/208*c_0110_2^8 + 5964823/208*c_0110_2^7 - 5927039/104*c_0110_2^6 - 2949665/208*c_0110_2^5 + 5224477/208*c_0110_2^4 + 152339/16*c_0110_2^3 - 286759/52*c_0110_2^2 - 210771/52*c_0110_2 - 159171/208, c_0011_0 - 1, c_0011_3 + 16*c_0110_2^13 - 356*c_0110_2^11 + 1080*c_0110_2^10 - 1029*c_0110_2^9 - 435*c_0110_2^8 + 1313*c_0110_2^7 - 192*c_0110_2^6 - 774*c_0110_2^5 + 174*c_0110_2^4 + 313*c_0110_2^3 - 23*c_0110_2^2 - 80*c_0110_2 - 19, c_0101_0 - 16*c_0110_2^13 + 80*c_0110_2^12 - 124*c_0110_2^11 - 12*c_0110_2^10 + 197*c_0110_2^9 - 78*c_0110_2^8 - 166*c_0110_2^7 + 81*c_0110_2^6 + 107*c_0110_2^5 - 34*c_0110_2^4 - 54*c_0110_2^3 - c_0110_2^2 + 17*c_0110_2 + 6, c_0101_1 - 128*c_0110_2^13 + 688*c_0110_2^12 - 1232*c_0110_2^11 + 260*c_0110_2^10 + 1708*c_0110_2^9 - 1435*c_0110_2^8 - 902*c_0110_2^7 + 1215*c_0110_2^6 + 390*c_0110_2^5 - 552*c_0110_2^4 - 205*c_0110_2^3 + 121*c_0110_2^2 + 81*c_0110_2 + 13, c_0101_3 + c_0110_2, c_0101_6 + 192*c_0110_2^13 - 1024*c_0110_2^12 + 1824*c_0110_2^11 - 432*c_0110_2^10 - 2288*c_0110_2^9 + 1736*c_0110_2^8 + 1483*c_0110_2^7 - 1558*c_0110_2^6 - 794*c_0110_2^5 + 755*c_0110_2^4 + 401*c_0110_2^3 - 162*c_0110_2^2 - 142*c_0110_2 - 26, c_0110_2^14 - 5*c_0110_2^13 + 31/4*c_0110_2^12 + 3/4*c_0110_2^11 - 197/16*c_0110_2^10 + 39/8*c_0110_2^9 + 83/8*c_0110_2^8 - 81/16*c_0110_2^7 - 107/16*c_0110_2^6 + 17/8*c_0110_2^5 + 27/8*c_0110_2^4 + 1/16*c_0110_2^3 - c_0110_2^2 - 7/16*c_0110_2 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB