Magma V2.19-8 Wed Aug 21 2013 00:57:04 on localhost [Seed = 4256950063] Type ? for help. Type -D to quit. Loading file "L13n3664__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3664 geometric_solution 12.02019403 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 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 0 -1 1 1 0 -1 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 0.405335255542 0.679503137419 0 4 5 4 0132 0132 0132 1302 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 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 0.373425783997 0.817105969879 0 0 6 6 2310 0132 2310 0132 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 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.352521501742 1.085431540835 7 8 0 4 0132 0132 0132 2310 0 1 1 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 1 -1 0 0 0 0 0 -11 10 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225428779025 0.865678986462 3 1 1 6 3201 0132 2031 3120 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 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 0 0 0 0.537329168367 1.012386168329 9 6 10 1 0132 1302 0132 0132 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 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 0.718290877177 1.081803614328 4 2 2 5 3120 3201 0132 2031 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 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 0.405335255542 0.679503137419 3 11 10 9 0132 0132 3120 0132 1 1 0 1 0 0 -1 1 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 11 -11 0 0 0 0 -1 1 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444615736219 0.532524120907 12 3 12 9 0132 0132 3120 2031 0 1 0 1 0 0 -1 1 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 -1 2 -1 0 0 -1 1 -2 2 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384280142444 0.990893126663 5 8 7 11 0132 1302 0132 0132 1 1 0 0 0 0 -1 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 -1 11 -10 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 0.452409144943 0.728073175912 11 12 7 5 0132 0132 3120 0132 1 1 0 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 0 0 0 1 0 0 -1 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170081794152 0.539164815465 10 7 9 12 0132 0132 0132 2103 1 1 1 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 0 0 10 -10 -1 0 0 1 -11 11 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.298768158406 1.040694963617 8 10 8 11 0132 0132 3120 2103 1 1 1 0 0 0 0 0 0 0 0 0 1 0 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 1 -1 -10 0 0 10 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384280142444 0.990893126663 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_4'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_0110_4'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0101_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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'], 'c_1100_12' : negation(d['c_0101_10']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_4'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 409053261404731/1658691195624*c_1001_10^14 - 1077158402379737/829345597812*c_1001_10^13 - 1055873530365347/184299021736*c_1001_10^12 - 11937006316907323/829345597812*c_1001_10^11 - 4587490957010487/184299021736*c_1001_10^10 - 30482521574667155/1658691195624*c_1001_10^9 + 25623355619491079/1658691195624*c_1001_10^8 + 11925369874988822/207336399453*c_1001_10^7 + 85581866128582843/1658691195624*c_1001_10^6 - 1455977743148779/92149510868*c_1001_10^5 - 33721852305226999/552897065208*c_1001_10^4 - 55621146033194581/1658691195624*c_1001_10^3 + 25085015959904609/1658691195624*c_1001_10^2 + 11770634661859445/829345597812*c_1001_10 + 3639507683150335/1658691195624, c_0011_0 - 1, c_0011_10 - 11662906331/92149510868*c_1001_10^14 - 155739634321/276448532604*c_1001_10^13 - 56673754787/23037377717*c_1001_10^12 - 242888907973/46074755434*c_1001_10^11 - 2200152209423/276448532604*c_1001_10^10 - 216234318599/138224266302*c_1001_10^9 + 3321433896035/276448532604*c_1001_10^8 + 2113919476247/92149510868*c_1001_10^7 + 633550262380/69112133151*c_1001_10^6 - 862177264391/46074755434*c_1001_10^5 - 2002024161323/92149510868*c_1001_10^4 - 103437931801/46074755434*c_1001_10^3 + 3197181942929/276448532604*c_1001_10^2 + 132221677423/92149510868*c_1001_10 + 63552758053/69112133151, c_0011_5 - 8119315325/23037377717*c_1001_10^14 - 117976475633/69112133151*c_1001_10^13 - 172659564754/23037377717*c_1001_10^12 - 404256726434/23037377717*c_1001_10^11 - 1989530092657/69112133151*c_1001_10^10 - 1081179762836/69112133151*c_1001_10^9 + 1809643196830/69112133151*c_1001_10^8 + 1600266069015/23037377717*c_1001_10^7 + 3206230361825/69112133151*c_1001_10^6 - 846488131854/23037377717*c_1001_10^5 - 1540712545069/23037377717*c_1001_10^4 - 501723578289/23037377717*c_1001_10^3 + 1805191488427/69112133151*c_1001_10^2 + 150931730667/23037377717*c_1001_10 + 132120715136/69112133151, c_0011_6 + 1, c_0101_0 - 1, c_0101_1 - 62137780097/829345597812*c_1001_10^14 - 319838902217/829345597812*c_1001_10^13 - 77978277303/46074755434*c_1001_10^12 - 1732231607519/414672798906*c_1001_10^11 - 1963668140965/276448532604*c_1001_10^10 - 2068584181811/414672798906*c_1001_10^9 + 3821760490201/829345597812*c_1001_10^8 + 13024169384159/829345597812*c_1001_10^7 + 2689583972231/207336399453*c_1001_10^6 - 121444835105/23037377717*c_1001_10^5 - 4218062461601/276448532604*c_1001_10^4 - 1294453508267/207336399453*c_1001_10^3 + 3122493315397/829345597812*c_1001_10^2 + 1709463371093/829345597812*c_1001_10 - 117009921779/414672798906, c_0101_10 + 13747091171/138224266302*c_1001_10^14 + 44892547281/92149510868*c_1001_10^13 + 48947980749/23037377717*c_1001_10^12 + 688996496131/138224266302*c_1001_10^11 + 1108102794101/138224266302*c_1001_10^10 + 1087748634067/276448532604*c_1001_10^9 - 813702994537/92149510868*c_1001_10^8 - 2953252126805/138224266302*c_1001_10^7 - 1265450757621/92149510868*c_1001_10^6 + 1143374985277/92149510868*c_1001_10^5 + 2050999797157/92149510868*c_1001_10^4 + 920086905005/138224266302*c_1001_10^3 - 194569027388/23037377717*c_1001_10^2 - 859628163841/276448532604*c_1001_10 - 37507577593/46074755434, c_0101_11 + 11662906331/92149510868*c_1001_10^14 + 155739634321/276448532604*c_1001_10^13 + 56673754787/23037377717*c_1001_10^12 + 242888907973/46074755434*c_1001_10^11 + 2200152209423/276448532604*c_1001_10^10 + 216234318599/138224266302*c_1001_10^9 - 3321433896035/276448532604*c_1001_10^8 - 2113919476247/92149510868*c_1001_10^7 - 633550262380/69112133151*c_1001_10^6 + 862177264391/46074755434*c_1001_10^5 + 2002024161323/92149510868*c_1001_10^4 + 103437931801/46074755434*c_1001_10^3 - 3197181942929/276448532604*c_1001_10^2 - 132221677423/92149510868*c_1001_10 - 63552758053/69112133151, c_0101_12 + 26296918143/92149510868*c_1001_10^14 + 367874989741/276448532604*c_1001_10^13 + 538250982353/92149510868*c_1001_10^12 + 304104619283/23037377717*c_1001_10^11 + 5843972143469/276448532604*c_1001_10^10 + 1275085974437/138224266302*c_1001_10^9 - 3084714138409/138224266302*c_1001_10^8 - 2415894046321/46074755434*c_1001_10^7 - 4044017955773/138224266302*c_1001_10^6 + 3032512873371/92149510868*c_1001_10^5 + 1109769148169/23037377717*c_1001_10^4 + 972415564921/92149510868*c_1001_10^3 - 5716298429165/276448532604*c_1001_10^2 - 237886416141/92149510868*c_1001_10 - 314457093373/276448532604, c_0101_2 - 113184462817/207336399453*c_1001_10^14 - 543179589166/207336399453*c_1001_10^13 - 528411121975/46074755434*c_1001_10^12 - 5506396649207/207336399453*c_1001_10^11 - 2967474829213/69112133151*c_1001_10^10 - 4401608509034/207336399453*c_1001_10^9 + 17873570316235/414672798906*c_1001_10^8 + 44169141765725/414672798906*c_1001_10^7 + 13542939814204/207336399453*c_1001_10^6 - 2903805540513/46074755434*c_1001_10^5 - 14294806033937/138224266302*c_1001_10^4 - 11197494129767/414672798906*c_1001_10^3 + 8901855651584/207336399453*c_1001_10^2 + 1776440639959/207336399453*c_1001_10 + 552386176871/414672798906, c_0101_4 - 62137780097/829345597812*c_1001_10^14 - 319838902217/829345597812*c_1001_10^13 - 77978277303/46074755434*c_1001_10^12 - 1732231607519/414672798906*c_1001_10^11 - 1963668140965/276448532604*c_1001_10^10 - 2068584181811/414672798906*c_1001_10^9 + 3821760490201/829345597812*c_1001_10^8 + 13024169384159/829345597812*c_1001_10^7 + 2689583972231/207336399453*c_1001_10^6 - 121444835105/23037377717*c_1001_10^5 - 4218062461601/276448532604*c_1001_10^4 - 1294453508267/207336399453*c_1001_10^3 + 3122493315397/829345597812*c_1001_10^2 + 1709463371093/829345597812*c_1001_10 + 297662877127/414672798906, c_0110_4 - 62137780097/829345597812*c_1001_10^14 - 319838902217/829345597812*c_1001_10^13 - 77978277303/46074755434*c_1001_10^12 - 1732231607519/414672798906*c_1001_10^11 - 1963668140965/276448532604*c_1001_10^10 - 2068584181811/414672798906*c_1001_10^9 + 3821760490201/829345597812*c_1001_10^8 + 13024169384159/829345597812*c_1001_10^7 + 2689583972231/207336399453*c_1001_10^6 - 121444835105/23037377717*c_1001_10^5 - 4218062461601/276448532604*c_1001_10^4 - 1294453508267/207336399453*c_1001_10^3 + 3122493315397/829345597812*c_1001_10^2 + 1709463371093/829345597812*c_1001_10 - 117009921779/414672798906, c_1001_10^15 + 5*c_1001_10^14 + 22*c_1001_10^13 + 53*c_1001_10^12 + 89*c_1001_10^11 + 56*c_1001_10^10 - 69*c_1001_10^9 - 210*c_1001_10^8 - 161*c_1001_10^7 + 86*c_1001_10^6 + 210*c_1001_10^5 + 91*c_1001_10^4 - 64*c_1001_10^3 - 33*c_1001_10^2 - 8*c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB