Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 2917937529] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1395 geometric_solution 5.24233801 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596049822494 0.082814452135 2 0 2 0 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758011268855 0.145870338671 1 3 1 4 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615292428280 0.687703007411 5 2 4 6 0132 0132 2310 0132 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 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 0.019404087156 1.298416890100 6 3 2 5 1023 3201 0132 3201 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 0.019404087156 1.298416890100 3 4 5 5 0132 2310 1230 3012 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 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095749810372 1.603623056776 6 4 3 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484870827488 0.585654665881 ==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_0011_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_3']), '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_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 11339447/496*c_0101_5^15 + 186226643/496*c_0101_5^14 + 799183023/496*c_0101_5^13 + 933728559/496*c_0101_5^12 + 3869665547/496*c_0101_5^11 + 2235745241/496*c_0101_5^10 + 6886504653/496*c_0101_5^9 + 3122689077/496*c_0101_5^8 + 5718875589/496*c_0101_5^7 + 1236484227/248*c_0101_5^6 + 1199959911/248*c_0101_5^5 + 1057113133/496*c_0101_5^4 + 493292201/496*c_0101_5^3 + 224033773/496*c_0101_5^2 + 39438289/496*c_0101_5 + 18349285/496, c_0011_0 - 1, c_0011_1 + c_0101_5^14 + 16*c_0101_5^13 + 64*c_0101_5^12 + 60*c_0101_5^11 + 336*c_0101_5^10 + 78*c_0101_5^9 + 672*c_0101_5^8 + 44*c_0101_5^7 + 660*c_0101_5^6 + 11*c_0101_5^5 + 352*c_0101_5^4 + c_0101_5^3 + 104*c_0101_5^2 + 13, c_0011_4 - 2397/4*c_0101_5^15 - 38109/4*c_0101_5^14 - 148841/4*c_0101_5^13 - 117485/4*c_0101_5^12 - 748841/4*c_0101_5^11 - 72759/4*c_0101_5^10 - 1380159/4*c_0101_5^9 + 74769/4*c_0101_5^8 - 1180135/4*c_0101_5^7 + 53033/2*c_0101_5^6 - 252791/2*c_0101_5^5 + 47389/4*c_0101_5^4 - 104923/4*c_0101_5^3 + 9473/4*c_0101_5^2 - 8375/4*c_0101_5 + 729/4, c_0101_0 + 727/2*c_0101_5^15 + 12573/2*c_0101_5^14 + 61341/2*c_0101_5^13 + 99677/2*c_0101_5^12 + 280797/2*c_0101_5^11 + 341827/2*c_0101_5^10 + 470071/2*c_0101_5^9 + 561483/2*c_0101_5^8 + 366331/2*c_0101_5^7 + 231280*c_0101_5^6 + 72343*c_0101_5^5 + 195717/2*c_0101_5^4 + 28219/2*c_0101_5^3 + 40443/2*c_0101_5^2 + 2159/2*c_0101_5 + 3223/2, c_0101_1 - 11*c_0101_5^14 - 176*c_0101_5^13 - 703*c_0101_5^12 - 644*c_0101_5^11 - 3632*c_0101_5^10 - 798*c_0101_5^9 - 7056*c_0101_5^8 - 406*c_0101_5^7 - 6588*c_0101_5^6 - 77*c_0101_5^5 - 3212*c_0101_5^4 - 792*c_0101_5^2 + c_0101_5 - 77, c_0101_3 - 1141/2*c_0101_5^15 - 18015/2*c_0101_5^14 - 68837/2*c_0101_5^13 - 47821/2*c_0101_5^12 - 349125/2*c_0101_5^11 + 5129/2*c_0101_5^10 - 647345/2*c_0101_5^9 + 106713/2*c_0101_5^8 - 555611/2*c_0101_5^7 + 54585*c_0101_5^6 - 119242*c_0101_5^5 + 46685/2*c_0101_5^4 - 49517/2*c_0101_5^3 + 9269/2*c_0101_5^2 - 3951/2*c_0101_5 + 703/2, c_0101_5^16 + 16*c_0101_5^15 + 64*c_0101_5^14 + 60*c_0101_5^13 + 336*c_0101_5^12 + 78*c_0101_5^11 + 672*c_0101_5^10 + 44*c_0101_5^9 + 660*c_0101_5^8 + 11*c_0101_5^7 + 352*c_0101_5^6 + c_0101_5^5 + 104*c_0101_5^4 + 16*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB