Magma V2.19-8 Tue Aug 20 2013 17:56:30 on localhost [Seed = 3170699398] Type ? for help. Type -D to quit. Loading file "9^2_8__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_8 geometric_solution 8.58439465 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 3012 0 0 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 0 0 0 1 -1 0 1 0 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 1.246493092972 1.345266475358 0 3 5 4 0132 3120 0132 0132 1 0 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261444759356 0.615687520734 3 0 0 5 2031 0132 1230 3201 0 0 1 0 0 0 -1 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 -1 1 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 0.629404507163 0.399961857184 6 1 2 0 0132 3120 1302 0132 0 0 1 1 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 -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 0.236180546435 0.503475591210 6 7 1 8 2103 0132 0132 0132 1 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.234726765262 0.529849039341 9 2 6 1 0132 2310 2031 0132 1 0 0 0 0 -1 1 0 -1 0 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 1 -1 0 1 0 0 -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 1.438295763943 1.672518367074 3 8 4 5 0132 1302 2103 1302 0 0 1 1 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 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 0.808891256780 1.272556509890 9 4 9 8 1302 0132 0321 0321 1 0 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236326284190 1.627954043476 9 7 4 6 3201 0321 0132 2031 1 0 1 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 -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 1.000145737755 1.124478452266 5 7 7 8 0132 2031 0321 2310 1 0 0 0 0 0 0 0 1 0 0 -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 -1 1 0 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912668549000 0.601590251652 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_8'], 's_2_8' : d['1'], 's_2_9' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_8'], 'c_1100_8' : negation(d['c_1010_6']), 'c_1100_5' : negation(d['c_1010_6']), 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_1010_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_3']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : 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_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0101_5']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_2, c_0101_5, c_0110_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 38781/1237*c_1010_6^7 + 340977/2474*c_1010_6^6 - 401589/1237*c_1010_6^5 + 574319/1237*c_1010_6^4 - 2266345/2474*c_1010_6^3 + 2142441/2474*c_1010_6^2 - 366995/2474*c_1010_6 + 139187/2474, c_0011_0 - 1, c_0011_3 - 309/1237*c_1010_6^7 + 2931/2474*c_1010_6^6 - 3697/1237*c_1010_6^5 + 5748/1237*c_1010_6^4 - 21403/2474*c_1010_6^3 + 24279/2474*c_1010_6^2 - 8635/2474*c_1010_6 + 1025/2474, c_0011_4 + 150/1237*c_1010_6^7 - 1651/2474*c_1010_6^6 + 2215/1237*c_1010_6^5 - 3667/1237*c_1010_6^4 + 11867/2474*c_1010_6^3 - 15593/2474*c_1010_6^2 + 5741/2474*c_1010_6 + 211/2474, c_0011_5 + 1, c_0011_8 - 134/1237*c_1010_6^7 + 1211/2474*c_1010_6^6 - 1319/1237*c_1010_6^5 + 1676/1237*c_1010_6^4 - 6115/2474*c_1010_6^3 + 5881/2474*c_1010_6^2 + 3217/2474*c_1010_6 - 1409/2474, c_0101_0 + 141/2474*c_1010_6^7 - 1011/2474*c_1010_6^6 + 1474/1237*c_1010_6^5 - 5253/2474*c_1010_6^4 + 4168/1237*c_1010_6^3 - 6862/1237*c_1010_6^2 + 3384/1237*c_1010_6 + 829/2474, c_0101_2 + 173/2474*c_1010_6^7 - 1451/2474*c_1010_6^6 + 2370/1237*c_1010_6^5 - 9235/2474*c_1010_6^4 + 7044/1237*c_1010_6^3 - 11718/1237*c_1010_6^2 + 9100/1237*c_1010_6 - 369/2474, c_0101_5 - 309/1237*c_1010_6^7 + 2931/2474*c_1010_6^6 - 3697/1237*c_1010_6^5 + 5748/1237*c_1010_6^4 - 21403/2474*c_1010_6^3 + 24279/2474*c_1010_6^2 - 11109/2474*c_1010_6 + 3499/2474, c_0110_2 + 141/2474*c_1010_6^7 - 1011/2474*c_1010_6^6 + 1474/1237*c_1010_6^5 - 5253/2474*c_1010_6^4 + 4168/1237*c_1010_6^3 - 6862/1237*c_1010_6^2 + 3384/1237*c_1010_6 + 829/2474, c_1010_6^8 - 5*c_1010_6^7 + 13*c_1010_6^6 - 21*c_1010_6^5 + 38*c_1010_6^4 - 45*c_1010_6^3 + 21*c_1010_6^2 - 4*c_1010_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB