Magma V2.19-8 Wed Aug 21 2013 01:13:48 on localhost [Seed = 560414596] Type ? for help. Type -D to quit. Loading file "L14n642__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n642 geometric_solution 11.49416297 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 1 0 1 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 2 -1 -1 0 0 1 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.067563289797 0.949568234906 0 5 2 6 0132 0132 2103 0132 1 1 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 1 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954072356538 0.930323921527 1 0 3 4 2103 0132 0213 0213 0 1 1 1 0 -1 0 1 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 -2 1 1 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 0.526467848674 0.536140566250 7 2 4 0 0132 0213 0213 0132 0 1 1 1 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 -1 0 1 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 0.477036178269 0.465161960763 8 3 0 2 0132 0213 0132 0213 0 1 1 1 0 0 1 -1 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 1 -1 0 0 1 -1 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526467848674 0.536140566250 9 1 10 9 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 1 -2 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 0.566906328978 0.401908271144 7 11 1 12 2103 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563502463362 0.693503559608 3 8 6 9 0132 0321 2103 1023 1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609646805127 0.856502239877 4 10 12 7 0132 3201 2031 0321 1 1 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 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433625073787 1.706575214391 5 5 12 7 0132 1302 1302 1023 1 1 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 0 0 0 0 0 0 0 0 0 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 -0.173930453379 0.832258055420 11 11 8 5 2103 0321 2310 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 0.488471214820 1.121768097234 12 6 10 10 1302 0132 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.438810605149 0.382145025894 9 11 6 8 2031 2031 0132 1302 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 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 1.552268933233 0.605733874509 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), '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' : 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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0011_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0011_0']), '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_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_5'], 's_3_1' : 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' : negation(d['1']), 'c_1100_12' : d['c_0101_8'], 's_1_7' : negation(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_0']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_8']), 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0011_11'])})} 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_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_12, c_0101_5, c_0101_8, c_1001_0, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3978622416257/110489503121460*c_1001_5^13 - 40591163980169/441958012485840*c_1001_5^12 + 3358205046053/14731933749528*c_1001_5^11 + 17527704129602/27622375780365*c_1001_5^10 - 15422893269689/27622375780365*c_1001_5^9 - 264769403479403/147319337495280*c_1001_5^8 + 83138444051/241507110648*c_1001_5^7 + 25998440043551/11048950312146*c_1001_5^6 + 16748198978486/27622375780365*c_1001_5^5 - 106195162247531/88391602497168*c_1001_5^4 - 134779523845861/220979006242920*c_1001_5^3 - 1120807577887/55244751560730*c_1001_5^2 - 514914785368/5524475156073*c_1001_5 - 5176864283437/73659668747640, c_0011_0 - 1, c_0011_10 + 307/449*c_1001_5^13 + 759/449*c_1001_5^12 - 1696/449*c_1001_5^11 - 4603/449*c_1001_5^10 + 3399/449*c_1001_5^9 + 11429/449*c_1001_5^8 + 368/449*c_1001_5^7 - 12791/449*c_1001_5^6 - 8827/449*c_1001_5^5 + 6058/449*c_1001_5^4 + 6592/449*c_1001_5^3 - 2084/449*c_1001_5^2 + 194/449*c_1001_5 + 2147/449, c_0011_11 - 58/449*c_1001_5^13 - 259/898*c_1001_5^12 + 161/449*c_1001_5^11 + 523/449*c_1001_5^10 + 484/449*c_1001_5^9 - 1193/898*c_1001_5^8 - 3233/449*c_1001_5^7 - 842/449*c_1001_5^6 + 4660/449*c_1001_5^5 + 6827/898*c_1001_5^4 - 1007/449*c_1001_5^3 - 5259/449*c_1001_5^2 + 16/449*c_1001_5 + 1737/449, c_0011_12 + 58/449*c_1001_5^13 + 354/449*c_1001_5^12 + 127/898*c_1001_5^11 - 2319/449*c_1001_5^10 - 1831/449*c_1001_5^9 + 5760/449*c_1001_5^8 + 13201/898*c_1001_5^7 - 4097/449*c_1001_5^6 - 10497/449*c_1001_5^5 - 4536/449*c_1001_5^4 + 13239/898*c_1001_5^3 + 4361/449*c_1001_5^2 + 882/449*c_1001_5 + 508/449, c_0011_3 - 39/898*c_1001_5^13 - 359/449*c_1001_5^12 - 391/449*c_1001_5^11 + 2386/449*c_1001_5^10 + 4769/898*c_1001_5^9 - 6473/449*c_1001_5^8 - 5875/449*c_1001_5^7 + 6150/449*c_1001_5^6 + 17455/898*c_1001_5^5 + 209/449*c_1001_5^4 - 9485/449*c_1001_5^3 + 264/449*c_1001_5^2 + 2591/449*c_1001_5 + 464/449, c_0011_4 - 1, c_0101_0 - 84/449*c_1001_5^13 - 683/449*c_1001_5^12 - 510/449*c_1001_5^11 + 4303/449*c_1001_5^10 + 5160/449*c_1001_5^9 - 10200/449*c_1001_5^8 - 15706/449*c_1001_5^7 + 5562/449*c_1001_5^6 + 21984/449*c_1001_5^5 + 11400/449*c_1001_5^4 - 12606/449*c_1001_5^3 - 9397/449*c_1001_5^2 - 720/449*c_1001_5 - 937/449, c_0101_12 - 733/898*c_1001_5^13 - 1037/449*c_1001_5^12 + 3343/898*c_1001_5^11 + 6173/449*c_1001_5^10 - 3529/898*c_1001_5^9 - 14613/449*c_1001_5^8 - 13183/898*c_1001_5^7 + 13251/449*c_1001_5^6 + 35777/898*c_1001_5^5 + 221/449*c_1001_5^4 - 20491/898*c_1001_5^3 - 4329/449*c_1001_5^2 - 2051/449*c_1001_5 - 996/449, c_0101_5 + 122/449*c_1001_5^13 + 359/898*c_1001_5^12 - 927/449*c_1001_5^11 - 1193/449*c_1001_5^10 + 2512/449*c_1001_5^9 + 6473/898*c_1001_5^8 - 1777/449*c_1001_5^7 - 4871/449*c_1001_5^6 - 2680/449*c_1001_5^5 + 6975/898*c_1001_5^4 + 2273/449*c_1001_5^3 + 766/449*c_1001_5^2 + 276/449*c_1001_5 - 681/449, c_0101_8 + 365/449*c_1001_5^13 + 1113/449*c_1001_5^12 - 1408/449*c_1001_5^11 - 6473/449*c_1001_5^10 + 221/449*c_1001_5^9 + 14944/449*c_1001_5^8 + 10336/449*c_1001_5^7 - 12398/449*c_1001_5^6 - 21569/449*c_1001_5^5 - 2968/449*c_1001_5^4 + 11640/449*c_1001_5^3 + 6767/449*c_1001_5^2 + 178/449*c_1001_5 + 859/449, c_1001_0 - 1, c_1001_2 + 281/898*c_1001_5^13 + 215/449*c_1001_5^12 - 959/449*c_1001_5^11 - 1085/449*c_1001_5^10 + 5381/898*c_1001_5^9 + 2372/449*c_1001_5^8 - 2685/449*c_1001_5^7 - 3418/449*c_1001_5^6 + 415/898*c_1001_5^5 + 4216/449*c_1001_5^4 - 483/449*c_1001_5^3 - 1315/449*c_1001_5^2 - 271/449*c_1001_5 - 39/449, c_1001_5^14 + 4*c_1001_5^13 - 2*c_1001_5^12 - 24*c_1001_5^11 - 11*c_1001_5^10 + 56*c_1001_5^9 + 58*c_1001_5^8 - 40*c_1001_5^7 - 97*c_1001_5^6 - 32*c_1001_5^5 + 54*c_1001_5^4 + 36*c_1001_5^3 + 2*c_1001_5^2 + 4*c_1001_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB