Magma V2.19-8 Tue Aug 20 2013 23:39:15 on localhost [Seed = 2312105436] Type ? for help. Type -D to quit. Loading file "K13n1591__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1591 geometric_solution 9.47100286 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 1 -17 16 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.113415944311 1.257586236881 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 -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 -16 16 0 0 0 0 0 0 1 0 -1 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155280276885 0.453519178895 8 0 7 4 0132 0132 3120 0321 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 -1 1 0 -16 0 17 -1 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.071798229942 0.845432718091 6 9 8 0 0132 0132 0213 0132 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 -17 17 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 0.461574625397 0.544293309648 9 2 0 5 3012 0321 0132 0132 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 -16 16 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 -0.167249625950 0.655156015772 6 1 4 8 3012 0132 0132 0213 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 16 -16 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 1.082987779274 1.018744053313 3 9 1 5 0132 0213 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.057334220563 0.716886641847 10 10 2 1 0132 1302 3120 0132 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 0 16 -16 17 0 -17 0 0 16 0 -16 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421247405690 1.320888795152 2 3 10 5 0132 0213 1023 0213 0 0 0 0 0 -1 1 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 17 -17 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654411413951 0.837447540967 10 3 6 4 1302 0132 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191673394012 0.631114806465 7 9 8 7 0132 2031 1023 2031 0 0 0 0 0 0 -1 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 16 -16 -17 0 17 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 0.278286339601 0.635133753934 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_2_10' : 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_0101_5'], 'c_1100_8' : d['c_1001_1'], 'c_1100_5' : d['c_1010_8'], 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_1001_1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_1010_8'], '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_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_4']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_0, c_1001_1, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2123441023049/136045657755*c_1010_8^7 + 1555961820616391/171961711402320*c_1010_8^6 + 6921664942907/614148969294*c_1010_8^5 + 227962795930469/85980855701160*c_1010_8^4 - 606648220807519/85980855701160*c_1010_8^3 + 141032571618457/1910685682248*c_1010_8^2 - 1436238663617227/14330142616860*c_1010_8 - 189802611741137/6368952274160, c_0011_0 - 1, c_0011_10 - 70161559/3343672080*c_1010_8^7 + 668764067/3343672080*c_1010_8^6 - 43364269/557278680*c_1010_8^5 - 1145815/41795901*c_1010_8^4 + 402081/13268540*c_1010_8^3 + 405009113/1671836040*c_1010_8^2 - 850887659/1114557360*c_1010_8 + 63862073/159222480, c_0011_4 + 15383117/557278680*c_1010_8^7 - 25576613/208979505*c_1010_8^6 - 15366151/835918020*c_1010_8^5 - 1174937/167183604*c_1010_8^4 + 37581191/167183604*c_1010_8^3 - 115673323/417959010*c_1010_8^2 + 15062687/26537080*c_1010_8 + 9794107/139319670, c_0101_0 - 100801077/371519120*c_1010_8^7 + 250235005/668734416*c_1010_8^6 + 231294023/1671836040*c_1010_8^5 - 36996242/208979505*c_1010_8^4 - 63170609/167183604*c_1010_8^3 + 2761952791/1671836040*c_1010_8^2 - 820323747/371519120*c_1010_8 + 1479740749/1114557360, c_0101_1 + 524975303/1114557360*c_1010_8^7 - 1308171911/3343672080*c_1010_8^6 - 148460759/1671836040*c_1010_8^5 + 20546753/835918020*c_1010_8^4 + 3500029/11941686*c_1010_8^3 - 896107397/334367208*c_1010_8^2 + 1146852251/371519120*c_1010_8 - 133246621/159222480, c_0101_2 + 158270417/1671836040*c_1010_8^7 + 16644016/208979505*c_1010_8^6 - 15483961/55727868*c_1010_8^5 - 14309537/167183604*c_1010_8^4 + 96522871/278639340*c_1010_8^3 - 57963817/208979505*c_1010_8^2 - 206786519/557278680*c_1010_8 + 145247321/139319670, c_0101_5 + 859680607/3343672080*c_1010_8^7 - 132372367/668734416*c_1010_8^6 - 97242359/557278680*c_1010_8^5 + 26719141/417959010*c_1010_8^4 + 2406069/18575956*c_1010_8^3 - 3114449909/1671836040*c_1010_8^2 + 1908498059/1114557360*c_1010_8 - 108113351/1114557360, c_0101_7 + 294403691/3343672080*c_1010_8^7 + 966571/477667440*c_1010_8^6 - 303693721/1671836040*c_1010_8^5 - 305405/5970843*c_1010_8^4 + 15266311/167183604*c_1010_8^3 - 135342119/557278680*c_1010_8^2 - 195318233/1114557360*c_1010_8 + 212197067/371519120, c_1001_0 - 2798101/208979505*c_1010_8^7 - 90043691/1671836040*c_1010_8^6 + 2532371/46439890*c_1010_8^5 + 100421371/835918020*c_1010_8^4 + 1311599/55727868*c_1010_8^3 + 81519041/167183604*c_1010_8^2 - 10019959/139319670*c_1010_8 - 167711447/557278680, c_1001_1 + 1054418609/3343672080*c_1010_8^7 - 65636671/477667440*c_1010_8^6 - 27954751/185759560*c_1010_8^5 - 1257640/5970843*c_1010_8^4 + 12892433/55727868*c_1010_8^3 - 2587303843/1671836040*c_1010_8^2 + 1416900133/1114557360*c_1010_8 + 147401099/1114557360, c_1010_8^8 - 130/79*c_1010_8^7 + 47/79*c_1010_8^6 + 10/79*c_1010_8^5 + 16/79*c_1010_8^4 - 450/79*c_1010_8^3 + 903/79*c_1010_8^2 - 630/79*c_1010_8 + 279/79 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.660 seconds, Total memory usage: 32.09MB