Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 678016237] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0275 geometric_solution 4.32063838 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 0.238687949584 0.063009642354 0 1 0 1 0132 2310 2310 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 -1.995925133652 0.259009076624 3 0 3 0 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.636950477517 1.785146359171 2 2 4 5 0132 3201 0132 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 1 -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 0.117869749569 0.680380051141 6 5 5 3 0132 3012 1230 0132 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 1 -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 1.168880077824 0.888180268676 4 6 3 4 1230 0132 0132 3012 0 0 0 0 0 -1 0 1 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 1 -1 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.168880077824 0.888180268676 4 5 6 6 0132 0132 2031 1302 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561710024345 0.600274096468 ==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_0101_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 145520268/7955759*c_0101_4^12 - 920858172/7955759*c_0101_4^11 + 730695010/7955759*c_0101_4^10 - 47094054/1136537*c_0101_4^9 - 545504308/7955759*c_0101_4^8 + 4294489994/7955759*c_0101_4^7 - 5938292513/7955759*c_0101_4^6 + 1859570316/7955759*c_0101_4^5 + 3752952241/7955759*c_0101_4^4 - 4140005885/7955759*c_0101_4^3 + 741036272/7955759*c_0101_4^2 + 913645798/7955759*c_0101_4 - 483002993/7955759, c_0011_0 - 1, c_0011_2 - 650212/1136537*c_0101_4^12 + 4569689/1136537*c_0101_4^11 - 6350047/1136537*c_0101_4^10 + 5205661/1136537*c_0101_4^9 - 521166/1136537*c_0101_4^8 - 19657501/1136537*c_0101_4^7 + 38789985/1136537*c_0101_4^6 - 32891689/1136537*c_0101_4^5 + 152133/1136537*c_0101_4^4 + 21931525/1136537*c_0101_4^3 - 13600380/1136537*c_0101_4^2 + 218167/1136537*c_0101_4 + 3331934/1136537, c_0011_4 - 1369884/1136537*c_0101_4^12 + 8247153/1136537*c_0101_4^11 - 4573732/1136537*c_0101_4^10 + 3392132/1136537*c_0101_4^9 + 3553410/1136537*c_0101_4^8 - 37358596/1136537*c_0101_4^7 + 44227389/1136537*c_0101_4^6 - 10217168/1136537*c_0101_4^5 - 23123441/1136537*c_0101_4^4 + 19066514/1136537*c_0101_4^3 - 1040793/1136537*c_0101_4^2 - 2983147/1136537*c_0101_4 + 546064/1136537, c_0101_0 - 625168/1136537*c_0101_4^12 + 4388401/1136537*c_0101_4^11 - 5575829/1136537*c_0101_4^10 + 2110379/1136537*c_0101_4^9 + 416979/1136537*c_0101_4^8 - 19671869/1136537*c_0101_4^7 + 36329791/1136537*c_0101_4^6 - 18254502/1136537*c_0101_4^5 - 11983027/1136537*c_0101_4^4 + 20406683/1136537*c_0101_4^3 - 6159061/1136537*c_0101_4^2 - 2477427/1136537*c_0101_4 + 1463013/1136537, c_0101_1 + 213939/1136537*c_0101_4^12 - 1004078/1136537*c_0101_4^11 - 414836/1136537*c_0101_4^10 - 2807055/1136537*c_0101_4^9 - 691109/1136537*c_0101_4^8 + 3207908/1136537*c_0101_4^7 - 1043551/1136537*c_0101_4^6 + 7104581/1136537*c_0101_4^5 - 6100805/1136537*c_0101_4^4 + 3715728/1136537*c_0101_4^3 + 2439309/1136537*c_0101_4^2 - 2728803/1136537*c_0101_4 + 248591/1136537, c_0101_2 + 216744/1136537*c_0101_4^12 - 1286870/1136537*c_0101_4^11 + 833194/1136537*c_0101_4^10 - 1637899/1136537*c_0101_4^9 - 631098/1136537*c_0101_4^8 + 4983261/1136537*c_0101_4^7 - 7430641/1136537*c_0101_4^6 + 6330821/1136537*c_0101_4^5 + 442957/1136537*c_0101_4^4 - 1279759/1136537*c_0101_4^3 + 2740568/1136537*c_0101_4^2 - 857029/1136537*c_0101_4 - 388909/1136537, c_0101_4^13 - 6*c_0101_4^12 + 3*c_0101_4^11 - c_0101_4^10 - 4*c_0101_4^9 + 28*c_0101_4^8 - 31*c_0101_4^7 + c_0101_4^6 + 27*c_0101_4^5 - 18*c_0101_4^4 - 4*c_0101_4^3 + 7*c_0101_4^2 - c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB