Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 88381736] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s201 geometric_solution 4.32562926 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 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 1.475790130044 0.289889300054 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 0 1 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 1 -1 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 1.056654217259 0.339856490627 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -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 0 0 0 0 1 0 -1 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 0.695159561197 0.316292844731 2 4 5 4 0132 1302 0132 2031 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 -1 0 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 0 0.596252098228 0.391519985465 5 3 2 3 2310 1302 0132 2031 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 0 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 0.596252098228 0.391519985465 5 5 4 3 1230 3012 3201 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 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 0.828131156832 0.769490076107 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 350532112323219159/287002996009972864*c_0101_5^15 + 2514776369678352447/287002996009972864*c_0101_5^13 + 916388150320580911745/287002996009972864*c_0101_5^11 - 2721344090330826281611/287002996009972864*c_0101_5^9 + 804930060874219696029/143501498004986432*c_0101_5^7 - 911992604843827119975/287002996009972864*c_0101_5^5 + 132599409055360884127/71750749002493216*c_0101_5^3 - 6672604528964596709/17937687250623304*c_0101_5, c_0011_0 - 1, c_0011_1 + 9473233187909/17937687250623304*c_0101_5^14 + 52201094351875/17937687250623304*c_0101_5^12 + 24639985115351137/17937687250623304*c_0101_5^10 - 114851321244436879/17937687250623304*c_0101_5^8 + 16605727648247770/2242210906327913*c_0101_5^6 - 27948630203368321/17937687250623304*c_0101_5^4 + 26510826182119091/8968843625311652*c_0101_5^2 - 1656882904551408/2242210906327913, c_0011_5 - 218195398052145/17937687250623304*c_0101_5^14 - 1623304518833719/17937687250623304*c_0101_5^12 - 570860448182321173/17937687250623304*c_0101_5^10 + 1542336914904278939/17937687250623304*c_0101_5^8 - 76084230335075053/2242210906327913*c_0101_5^6 + 454357618305055533/17937687250623304*c_0101_5^4 - 121871542902399427/8968843625311652*c_0101_5^2 + 1906480424875516/2242210906327913, c_0101_0 + 291116982009321/35875374501246608*c_0101_5^15 + 1951208737489543/35875374501246608*c_0101_5^13 + 760038792623170901/35875374501246608*c_0101_5^11 - 2619308991896257147/35875374501246608*c_0101_5^9 + 288416849236922147/4484421812655826*c_0101_5^7 - 1087927388801134485/35875374501246608*c_0101_5^5 + 303335922167837447/17937687250623304*c_0101_5^3 - 24457667021976013/4484421812655826*c_0101_5, c_0101_2 - 142457351987955/35875374501246608*c_0101_5^15 - 1140088177610169/35875374501246608*c_0101_5^13 - 373290281291137611/35875374501246608*c_0101_5^11 + 797137984300813821/35875374501246608*c_0101_5^9 + 52424489518507111/8968843625311652*c_0101_5^7 - 12359376644597833/35875374501246608*c_0101_5^5 - 17671220393791439/17937687250623304*c_0101_5^3 - 4571143340764522/2242210906327913*c_0101_5, c_0101_5^16 + 7*c_0101_5^14 + 2613*c_0101_5^12 - 8219*c_0101_5^10 + 5872*c_0101_5^8 - 3213*c_0101_5^6 + 1910*c_0101_5^4 - 520*c_0101_5^2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB