Magma V2.19-8 Tue Aug 20 2013 23:41:05 on localhost [Seed = 274101394] Type ? for help. Type -D to quit. Loading file "L12a1257__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1257 geometric_solution 8.71018782 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 1 0 -1 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 -2 -1 3 -3 0 4 -1 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837702406767 0.598583635580 0 5 6 4 0132 0132 0132 0321 0 1 1 1 0 -1 0 1 -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 3 0 -3 3 0 0 -3 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.591997728145 0.977220613720 3 0 6 4 0321 0132 0321 0213 0 1 1 1 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 2 -2 0 -4 0 0 4 0 -1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682650328674 0.462127154935 2 7 7 0 0321 0132 0321 0132 0 1 1 1 0 0 0 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 -1 0 1 4 0 0 -4 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.176313541707 1.232304574694 8 1 0 2 0132 0321 0132 0213 0 1 1 1 0 -1 1 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 3 -3 0 0 0 1 -1 3 1 0 -4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853068806209 0.298869943284 9 1 6 7 0132 0132 0213 0213 0 1 1 1 0 1 -1 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 -3 2 1 0 0 3 -3 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794847169890 0.353668241681 8 5 2 1 3120 0213 0321 0132 0 1 1 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 -2 2 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531064370831 1.214038820820 8 3 3 5 2031 0132 0321 0213 0 1 1 1 0 0 0 0 0 0 -1 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 1 0 -1 0 0 4 -4 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.176313541707 1.232304574694 4 9 7 6 0132 0132 1302 3120 1 1 1 1 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 0 0 3 0 0 -3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874765860452 0.716312776783 5 8 10 10 0132 0132 3201 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 0.769328001099 0.614149553925 9 10 9 10 2310 2310 0132 3201 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 -0.951248995015 0.333123965726 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_9'], '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_0011_6'], 's_2_0' : 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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : 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_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_5'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], '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' : negation(d['c_0101_9']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_3'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0101_9']), 'c_1100_8' : d['c_0101_2']})} 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_3, c_0011_6, c_0101_1, c_0101_2, c_0101_9, c_1001_0, c_1001_1, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2886693548742373/265112107082368*c_1001_5^12 + 356470549923949/18936579077312*c_1001_5^11 + 956520485261881/265112107082368*c_1001_5^10 - 15989158717778633/265112107082368*c_1001_5^9 - 1892130145131727/10196619503168*c_1001_5^8 - 28554925370048319/265112107082368*c_1001_5^7 + 3330851794975595/18936579077312*c_1001_5^6 + 79087325015557415/265112107082368*c_1001_5^5 + 7557430052181585/37873158154624*c_1001_5^4 - 78912781710131/426225252544*c_1001_5^3 - 52238391332902661/265112107082368*c_1001_5^2 + 363040466113155/2913319858048*c_1001_5 + 36814072484556597/265112107082368, c_0011_0 - 1, c_0011_10 + 9594/73184281*c_1001_5^12 - 548209/73184281*c_1001_5^11 - 3248558/73184281*c_1001_5^10 - 7226693/73184281*c_1001_5^9 - 3449789/73184281*c_1001_5^8 + 9845682/73184281*c_1001_5^7 + 36665948/73184281*c_1001_5^6 + 49272595/73184281*c_1001_5^5 + 11650901/73184281*c_1001_5^4 + 2452721/73184281*c_1001_5^3 - 7888929/73184281*c_1001_5^2 - 18198436/73184281*c_1001_5 + 10928468/73184281, c_0011_3 - 2722325/73184281*c_1001_5^12 - 370734/73184281*c_1001_5^11 + 2262319/73184281*c_1001_5^10 + 11679564/73184281*c_1001_5^9 + 19749312/73184281*c_1001_5^8 - 26102295/73184281*c_1001_5^7 - 27934271/73184281*c_1001_5^6 + 24319709/73184281*c_1001_5^5 + 39500129/73184281*c_1001_5^4 + 54694793/73184281*c_1001_5^3 - 107807463/73184281*c_1001_5^2 - 116867305/73184281*c_1001_5 + 3405509/73184281, c_0011_6 - 460006/73184281*c_1001_5^12 - 2762801/73184281*c_1001_5^11 - 6185753/73184281*c_1001_5^10 - 3005550/73184281*c_1001_5^9 + 15133761/73184281*c_1001_5^8 + 51933313/73184281*c_1001_5^7 + 59233016/73184281*c_1001_5^6 + 2875261/73184281*c_1001_5^5 - 84403167/73184281*c_1001_5^4 - 83305175/73184281*c_1001_5^3 - 8859831/73184281*c_1001_5^2 + 44165437/73184281*c_1001_5 + 68364739/73184281, c_0101_1 - 2722325/73184281*c_1001_5^12 - 370734/73184281*c_1001_5^11 + 2262319/73184281*c_1001_5^10 + 11679564/73184281*c_1001_5^9 + 19749312/73184281*c_1001_5^8 - 26102295/73184281*c_1001_5^7 - 27934271/73184281*c_1001_5^6 + 24319709/73184281*c_1001_5^5 + 39500129/73184281*c_1001_5^4 + 54694793/73184281*c_1001_5^3 - 107807463/73184281*c_1001_5^2 - 43683024/73184281*c_1001_5 + 3405509/73184281, c_0101_2 + 2351591/73184281*c_1001_5^12 - 460006/73184281*c_1001_5^11 - 4654386/73184281*c_1001_5^10 - 15640913/73184281*c_1001_5^9 - 17935320/73184281*c_1001_5^8 + 40123854/73184281*c_1001_5^7 + 70599234/73184281*c_1001_5^6 + 28610829/73184281*c_1001_5^5 - 35141932/73184281*c_1001_5^4 - 126863738/73184281*c_1001_5^3 + 27097426/73184281*c_1001_5^2 + 98368390/73184281*c_1001_5 + 37794056/73184281, c_0101_9 - 89272/73184281*c_1001_5^12 - 1932061/73184281*c_1001_5^11 - 3793686/73184281*c_1001_5^10 + 955799/73184281*c_1001_5^9 + 13319769/73184281*c_1001_5^8 + 37911754/73184281*c_1001_5^7 + 16568053/73184281*c_1001_5^6 - 50055277/73184281*c_1001_5^5 - 88761364/73184281*c_1001_5^4 - 84320511/73184281*c_1001_5^3 - 1334075/73184281*c_1001_5^2 + 62664352/73184281*c_1001_5 + 27165174/73184281, c_1001_0 - 1, c_1001_1 - 370734/73184281*c_1001_5^12 - 830740/73184281*c_1001_5^11 - 2392067/73184281*c_1001_5^10 - 3961349/73184281*c_1001_5^9 + 1813992/73184281*c_1001_5^8 + 14021559/73184281*c_1001_5^7 + 42664963/73184281*c_1001_5^6 + 52930538/73184281*c_1001_5^5 + 4358197/73184281*c_1001_5^4 - 72168945/73184281*c_1001_5^3 - 80710037/73184281*c_1001_5^2 - 18498915/73184281*c_1001_5 + 41199565/73184281, c_1001_2 + 2722325/73184281*c_1001_5^12 + 370734/73184281*c_1001_5^11 - 2262319/73184281*c_1001_5^10 - 11679564/73184281*c_1001_5^9 - 19749312/73184281*c_1001_5^8 + 26102295/73184281*c_1001_5^7 + 27934271/73184281*c_1001_5^6 - 24319709/73184281*c_1001_5^5 - 39500129/73184281*c_1001_5^4 - 54694793/73184281*c_1001_5^3 + 107807463/73184281*c_1001_5^2 + 43683024/73184281*c_1001_5 - 76589790/73184281, c_1001_5^13 + c_1001_5^12 - c_1001_5^11 - 6*c_1001_5^10 - 13*c_1001_5^9 + 3*c_1001_5^8 + 25*c_1001_5^7 + 17*c_1001_5^6 - 4*c_1001_5^5 - 33*c_1001_5^4 - 7*c_1001_5^3 + 26*c_1001_5^2 + 8*c_1001_5 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB