Magma V2.19-8 Wed Aug 21 2013 00:56:56 on localhost [Seed = 3330333715] Type ? for help. Type -D to quit. Loading file "L13n3145__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3145 geometric_solution 12.47186752 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 1 0 -1 -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 0.770092010116 1.483092398950 0 5 6 4 0132 0132 0132 3120 1 1 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 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 0.432295489670 0.596476552045 6 0 6 7 0132 0132 3120 0132 0 1 0 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 0 0 0 -1 1 0 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434377156649 0.669504099241 8 9 10 0 0132 0132 0132 0132 0 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 0 0 1 -1 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619717637650 0.709350492984 1 11 0 8 3120 0132 0132 0132 0 1 0 1 0 -1 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 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 0.414946498216 0.550644949052 11 1 12 7 2310 0132 0132 2310 1 0 1 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 0 0 4 -4 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 0.600489892698 1.474443502211 2 11 2 1 0132 2310 3120 0132 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 -1 1 0 0 0 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434377156649 0.669504099241 5 10 2 11 3201 3120 0132 3120 0 1 1 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 0 0 0 0 0 1 -1 4 -5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486907671998 0.535451843415 3 12 4 9 0132 2031 0132 3120 0 1 1 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 1 -1 0 0 0 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486907671998 0.535451843415 8 3 10 12 3120 0132 3120 1302 0 1 1 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 0 0 0 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866498019591 0.657747824618 12 7 9 3 1302 3120 3120 0132 0 1 1 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 1 0 0 -1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301512590742 0.799513129850 7 4 5 6 3120 0132 3201 3201 0 1 1 0 0 1 -1 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 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 0.382455636805 0.703923336437 8 10 9 5 1302 2031 2031 0132 1 0 0 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 0 0 0 0 0 4 -4 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 0.486907671998 0.535451843415 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_9']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0110_11']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_7'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_11'], 'c_1100_8' : negation(d['c_0101_9'])})} 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_12, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_9, c_0110_11, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 87760013805919392357/758802323340859232*c_1001_2^11 - 630258591674952277135/758802323340859232*c_1001_2^10 - 1277425401871230084415/379401161670429616*c_1001_2^9 - 7069862539836928038895/758802323340859232*c_1001_2^8 - 14285870279928908721931/758802323340859232*c_1001_2^7 - 21719918760146617649877/758802323340859232*c_1001_2^6 - 25187046895740556721509/758802323340859232*c_1001_2^5 - 11188419237758056632793/379401161670429616*c_1001_2^4 - 474624832290437748852/23712572604401851*c_1001_2^3 - 3771803959428542143893/379401161670429616*c_1001_2^2 - 1168366200462097791285/379401161670429616*c_1001_2 - 304180779394553790267/758802323340859232, c_0011_0 - 1, c_0011_10 + 167106948171786/266433400049459*c_1001_2^11 + 900315988899183/266433400049459*c_1001_2^10 + 2955223578556726/266433400049459*c_1001_2^9 + 6277019079392857/266433400049459*c_1001_2^8 + 8834371422166498/266433400049459*c_1001_2^7 + 7256459158655614/266433400049459*c_1001_2^6 + 833860098350320/266433400049459*c_1001_2^5 - 6519917448116006/266433400049459*c_1001_2^4 - 9869118749847588/266433400049459*c_1001_2^3 - 8856861936636912/266433400049459*c_1001_2^2 - 4993327754972276/266433400049459*c_1001_2 - 1371959388875719/266433400049459, c_0011_12 - 23160255526023/266433400049459*c_1001_2^11 - 79084467485654/266433400049459*c_1001_2^10 - 286327471832840/266433400049459*c_1001_2^9 - 664625408458272/266433400049459*c_1001_2^8 - 1546051751596958/266433400049459*c_1001_2^7 - 3045829011904943/266433400049459*c_1001_2^6 - 5198713023320800/266433400049459*c_1001_2^5 - 6895401152629550/266433400049459*c_1001_2^4 - 6862918995947038/266433400049459*c_1001_2^3 - 4959804114896782/266433400049459*c_1001_2^2 - 2681946439728657/266433400049459*c_1001_2 - 744508446264737/266433400049459, c_0011_7 - 236558072509416/266433400049459*c_1001_2^11 - 1494927061793208/266433400049459*c_1001_2^10 - 5659996233929585/266433400049459*c_1001_2^9 - 14560201277915275/266433400049459*c_1001_2^8 - 27330636609305859/266433400049459*c_1001_2^7 - 38302445740816333/266433400049459*c_1001_2^6 - 40560657040685004/266433400049459*c_1001_2^5 - 32377950924145673/266433400049459*c_1001_2^4 - 19398294360285329/266433400049459*c_1001_2^3 - 7868163085587077/266433400049459*c_1001_2^2 - 1691366110221733/266433400049459*c_1001_2 - 63801203691059/266433400049459, c_0101_0 - 167106948171786/266433400049459*c_1001_2^11 - 900315988899183/266433400049459*c_1001_2^10 - 2955223578556726/266433400049459*c_1001_2^9 - 6277019079392857/266433400049459*c_1001_2^8 - 8834371422166498/266433400049459*c_1001_2^7 - 7256459158655614/266433400049459*c_1001_2^6 - 833860098350320/266433400049459*c_1001_2^5 + 6519917448116006/266433400049459*c_1001_2^4 + 9869118749847588/266433400049459*c_1001_2^3 + 8856861936636912/266433400049459*c_1001_2^2 + 4993327754972276/266433400049459*c_1001_2 + 1371959388875719/266433400049459, c_0101_1 - 1, c_0101_11 + 179823091068768/266433400049459*c_1001_2^11 + 1425702205328917/266433400049459*c_1001_2^10 + 6068452791031651/266433400049459*c_1001_2^9 + 17563121156832229/266433400049459*c_1001_2^8 + 37018962581915278/266433400049459*c_1001_2^7 + 58674431623980813/266433400049459*c_1001_2^6 + 71028548300588814/266433400049459*c_1001_2^5 + 66099385276907902/266433400049459*c_1001_2^4 + 47355316974973033/266433400049459*c_1001_2^3 + 25267337150757066/266433400049459*c_1001_2^2 + 8731534546481301/266433400049459*c_1001_2 + 1406521343566527/266433400049459, c_0101_3 + 2834413175012265/532866800098918*c_1001_2^11 + 19691972133764133/532866800098918*c_1001_2^10 + 39586432976565437/266433400049459*c_1001_2^9 + 217569808433256289/532866800098918*c_1001_2^8 + 439082412968791575/532866800098918*c_1001_2^7 + 670128584624497721/532866800098918*c_1001_2^6 + 785658929808158491/532866800098918*c_1001_2^5 + 355684918470563804/266433400049459*c_1001_2^4 + 247995630633268184/266433400049459*c_1001_2^3 + 127579166385337474/266433400049459*c_1001_2^2 + 42670019812509249/266433400049459*c_1001_2 + 14066930212400947/532866800098918, c_0101_5 - 73694609789619/266433400049459*c_1001_2^11 - 472011728558092/266433400049459*c_1001_2^10 - 1831745475488064/266433400049459*c_1001_2^9 - 4884764311647936/266433400049459*c_1001_2^8 - 9642844612629486/266433400049459*c_1001_2^7 - 14560630562615773/266433400049459*c_1001_2^6 - 17104894287647098/266433400049459*c_1001_2^5 - 15779659656950872/266433400049459*c_1001_2^4 - 11428586430405311/266433400049459*c_1001_2^3 - 6343933889396234/266433400049459*c_1001_2^2 - 2404400063638213/266433400049459*c_1001_2 - 673653206608666/266433400049459, c_0101_9 - 236558072509416/266433400049459*c_1001_2^11 - 1494927061793208/266433400049459*c_1001_2^10 - 5659996233929585/266433400049459*c_1001_2^9 - 14560201277915275/266433400049459*c_1001_2^8 - 27330636609305859/266433400049459*c_1001_2^7 - 38302445740816333/266433400049459*c_1001_2^6 - 40560657040685004/266433400049459*c_1001_2^5 - 32377950924145673/266433400049459*c_1001_2^4 - 19398294360285329/266433400049459*c_1001_2^3 - 7868163085587077/266433400049459*c_1001_2^2 - 1691366110221733/266433400049459*c_1001_2 - 63801203691059/266433400049459, c_0110_11 + 346930039240554/266433400049459*c_1001_2^11 + 2326018194228100/266433400049459*c_1001_2^10 + 9023676369588377/266433400049459*c_1001_2^9 + 23840140236225086/266433400049459*c_1001_2^8 + 45853334004081776/266433400049459*c_1001_2^7 + 65930890782636427/266433400049459*c_1001_2^6 + 71862408398939134/266433400049459*c_1001_2^5 + 59579467828791896/266433400049459*c_1001_2^4 + 37486198225125445/266433400049459*c_1001_2^3 + 16410475214120154/266433400049459*c_1001_2^2 + 3738206791509025/266433400049459*c_1001_2 + 34561954690808/266433400049459, c_1001_0 - 184066576520757/266433400049459*c_1001_2^11 - 1303102860992984/266433400049459*c_1001_2^10 - 5195425611146856/266433400049459*c_1001_2^9 - 14164703269957747/266433400049459*c_1001_2^8 - 28165542007405403/266433400049459*c_1001_2^7 - 42189075604435867/266433400049459*c_1001_2^6 - 48406645645901228/266433400049459*c_1001_2^5 - 42981176561597095/266433400049459*c_1001_2^4 - 29516490295245427/266433400049459*c_1001_2^3 - 14886246017929311/266433400049459*c_1001_2^2 - 4717674144974964/266433400049459*c_1001_2 - 644413957608415/266433400049459, c_1001_2^12 + 166/21*c_1001_2^11 + 241/7*c_1001_2^10 + 2153/21*c_1001_2^9 + 4720/21*c_1001_2^8 + 7886/21*c_1001_2^7 + 1460/3*c_1001_2^6 + 10361/21*c_1001_2^5 + 8230/21*c_1001_2^4 + 1678/7*c_1001_2^3 + 744/7*c_1001_2^2 + 211/7*c_1001_2 + 89/21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.350 seconds, Total memory usage: 32.09MB