Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 3187417488] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s210 geometric_solution 4.34855621 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 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 0.583647168322 0.365593263062 3 2 2 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769462044767 0.770801968710 1 3 0 1 1230 3201 0132 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 1 -1 -1 0 1 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 0.769462044767 0.770801968710 1 4 2 4 0132 0132 2310 1023 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 -1 1 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 1.651607546607 1.036239435667 5 3 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617119468397 0.317585474379 4 5 4 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588967045470 0.084742951978 ==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_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_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_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 12017/1354*c_0101_5^9 - 16690/677*c_0101_5^8 + 14049/677*c_0101_5^7 - 2470/677*c_0101_5^6 - 108850/677*c_0101_5^5 + 306342/677*c_0101_5^4 - 719521/1354*c_0101_5^3 + 473291/1354*c_0101_5^2 - 169165/1354*c_0101_5 + 37689/1354, c_0011_0 - 1, c_0011_1 + 408/677*c_0101_5^9 - 2033/1354*c_0101_5^8 + 695/677*c_0101_5^7 - 51/1354*c_0101_5^6 - 14587/1354*c_0101_5^5 + 18678/677*c_0101_5^4 - 39425/1354*c_0101_5^3 + 11457/677*c_0101_5^2 - 8931/1354*c_0101_5 + 2611/1354, c_0101_1 + 638/677*c_0101_5^9 - 3793/1354*c_0101_5^8 + 1641/677*c_0101_5^7 - 249/1354*c_0101_5^6 - 23351/1354*c_0101_5^5 + 34683/677*c_0101_5^4 - 81857/1354*c_0101_5^3 + 24596/677*c_0101_5^2 - 15011/1354*c_0101_5 + 2553/1354, c_0101_2 + 993/1354*c_0101_5^9 - 1517/677*c_0101_5^8 + 1580/677*c_0101_5^7 - 433/677*c_0101_5^6 - 9168/677*c_0101_5^5 + 27802/677*c_0101_5^4 - 74661/1354*c_0101_5^3 + 52779/1354*c_0101_5^2 - 17805/1354*c_0101_5 + 3145/1354, c_0101_4 - 1449/1354*c_0101_5^9 + 2095/677*c_0101_5^8 - 1829/677*c_0101_5^7 + 278/677*c_0101_5^6 + 13194/677*c_0101_5^5 - 38399/677*c_0101_5^4 + 92093/1354*c_0101_5^3 - 59013/1354*c_0101_5^2 + 19829/1354*c_0101_5 - 3947/1354, c_0101_5^10 - 3*c_0101_5^9 + 3*c_0101_5^8 - c_0101_5^7 - 18*c_0101_5^6 + 55*c_0101_5^5 - 72*c_0101_5^4 + 54*c_0101_5^3 - 24*c_0101_5^2 + 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB