Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 71670460] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m212 geometric_solution 4.08229647 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 1023 0132 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 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 -0.053981180765 0.854928393059 0 1 1 2 0132 1230 3012 2310 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 -1 1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581399392608 1.052872981682 1 0 0 3 3201 0132 1023 3201 0 0 0 0 0 1 -1 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 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 -0.053981180765 0.854928393059 4 2 0 4 0132 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160999370203 0.784059902385 3 3 4 4 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 2.044836906219 0.585646918407 ==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_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_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_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : 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_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_0'], '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_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 6489/2111*c_0101_4^9 + 3176/2111*c_0101_4^8 - 55490/2111*c_0101_4^7 - 45994/2111*c_0101_4^6 + 199261/2111*c_0101_4^5 + 152406/2111*c_0101_4^4 - 356621/2111*c_0101_4^3 - 22208/2111*c_0101_4^2 + 40294/2111*c_0101_4 + 41608/2111, c_0011_0 - 1, c_0011_3 - 589/2111*c_0101_4^9 - 408/2111*c_0101_4^8 + 4608/2111*c_0101_4^7 + 4425/2111*c_0101_4^6 - 14963/2111*c_0101_4^5 - 11225/2111*c_0101_4^4 + 26516/2111*c_0101_4^3 - 5841/2111*c_0101_4^2 - 2390/2111*c_0101_4 - 937/2111, c_0101_0 + 16/2111*c_0101_4^9 + 434/2111*c_0101_4^8 + 1183/2111*c_0101_4^7 - 1199/2111*c_0101_4^6 - 7439/2111*c_0101_4^5 - 3530/2111*c_0101_4^4 + 12193/2111*c_0101_4^3 + 8169/2111*c_0101_4^2 - 1659/2111*c_0101_4 + 262/2111, c_0101_1 + 54/2111*c_0101_4^9 - 1174/2111*c_0101_4^8 - 3132/2111*c_0101_4^7 + 5189/2111*c_0101_4^6 + 20016/2111*c_0101_4^5 - 2942/2111*c_0101_4^4 - 38275/2111*c_0101_4^3 + 919/2111*c_0101_4^2 + 2581/2111*c_0101_4 + 1412/2111, c_0101_4^10 + c_0101_4^9 - 8*c_0101_4^8 - 11*c_0101_4^7 + 25*c_0101_4^6 + 35*c_0101_4^5 - 38*c_0101_4^4 - 20*c_0101_4^3 - c_0101_4^2 + 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB