Magma V2.19-8 Wed Aug 21 2013 00:53:17 on localhost [Seed = 576993200] Type ? for help. Type -D to quit. Loading file "L12n1441__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1441 geometric_solution 12.00595117 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 0 1 0 0 0 0 1 0 -1 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 1 0 -1 -4 0 5 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885901544315 1.172965719109 0 5 7 6 0132 0132 0132 0132 2 2 1 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 0 0 0 0 0 0 0 0 4 0 -4 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 0.425705476892 0.448199105100 3 0 8 5 1023 0132 0132 0132 2 2 1 0 0 0 0 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 -1 1 0 0 0 0 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 0.179975199083 1.085742525756 6 2 9 0 0132 1023 0132 0132 2 2 1 0 0 0 0 0 -1 0 0 1 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 0 0 0 5 0 0 -5 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425705476892 0.448199105100 9 5 0 10 0132 1302 0132 0132 2 2 2 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 1 -1 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 0.569179936286 1.091459986785 6 1 2 4 1023 0132 0132 2031 2 2 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179975199083 1.085742525756 3 5 1 8 0132 1023 0132 0321 2 2 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 0 0 0 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885901544315 1.172965719109 8 9 11 1 0321 3120 0132 0132 2 2 0 2 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 -4 4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277993362834 1.780190528975 7 6 10 2 0321 0321 3012 0132 2 2 0 2 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 1 -1 0 0 0 0 1 0 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312893407604 0.792699001957 4 7 12 3 0132 3120 0132 0132 2 2 0 2 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 0.277993362834 1.780190528975 11 8 4 12 2310 1230 0132 0132 2 2 2 2 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 1 -1 -1 0 1 0 0 -5 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380374033784 0.820953387260 12 12 10 7 1302 2031 3201 0132 2 2 2 2 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 1 -1 0 -4 0 0 4 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338667542645 0.431373490532 11 11 10 9 1302 2031 0132 0132 2 2 2 2 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 -1 1 0 0 0 0 0 -1 1 0 0 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338667542645 0.431373490532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : 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' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_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' : d['1'], 's_0_5' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0110_5'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1100_0'], '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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_7']), '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' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0011_8'])})} 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_4, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_5, c_0101_7, c_0110_5, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6623626197/253721192*c_1100_0^7 + 8274082859/253721192*c_1100_0^6 + 31915131/7462388*c_1100_0^5 - 12413589883/1014884768*c_1100_0^4 - 10852364651/2029769536*c_1100_0^3 + 42501839317/8119078144*c_1100_0^2 - 8749355605/1014884768*c_1100_0 + 212107419941/32476312576, c_0011_0 - 1, c_0011_10 - c_1100_0, c_0011_11 + 304576/109741*c_1100_0^7 - 179840/109741*c_1100_0^6 - 127888/109741*c_1100_0^5 - 187552/109741*c_1100_0^4 + 53640/109741*c_1100_0^3 + 156712/109741*c_1100_0^2 + 143979/109741*c_1100_0 - 120688/109741, c_0011_4 - 393472/109741*c_1100_0^7 + 228640/109741*c_1100_0^6 + 29808/109741*c_1100_0^5 + 147840/109741*c_1100_0^4 - 106468/109741*c_1100_0^3 - 93010/109741*c_1100_0^2 - 92541/109741*c_1100_0 + 169449/109741, c_0011_7 - 393472/109741*c_1100_0^7 + 228640/109741*c_1100_0^6 + 29808/109741*c_1100_0^5 + 147840/109741*c_1100_0^4 - 106468/109741*c_1100_0^3 - 93010/109741*c_1100_0^2 - 92541/109741*c_1100_0 + 169449/109741, c_0011_8 + 1, c_0101_0 - 1, c_0101_10 + 246848/109741*c_1100_0^7 - 259392/109741*c_1100_0^6 - 60112/109741*c_1100_0^5 - 76184/109741*c_1100_0^4 + 39876/109741*c_1100_0^3 + 73880/109741*c_1100_0^2 + 76174/109741*c_1100_0 - 163764/109741, c_0101_5 + 393472/109741*c_1100_0^7 - 228640/109741*c_1100_0^6 - 29808/109741*c_1100_0^5 - 147840/109741*c_1100_0^4 + 106468/109741*c_1100_0^3 + 93010/109741*c_1100_0^2 + 202282/109741*c_1100_0 - 169449/109741, c_0101_7 - 246848/109741*c_1100_0^7 + 259392/109741*c_1100_0^6 + 60112/109741*c_1100_0^5 + 76184/109741*c_1100_0^4 - 39876/109741*c_1100_0^3 - 73880/109741*c_1100_0^2 - 76174/109741*c_1100_0 + 163764/109741, c_0110_5 + 393472/109741*c_1100_0^7 - 228640/109741*c_1100_0^6 - 29808/109741*c_1100_0^5 - 147840/109741*c_1100_0^4 + 106468/109741*c_1100_0^3 + 93010/109741*c_1100_0^2 + 312023/109741*c_1100_0 - 169449/109741, c_1001_10 + 329664/109741*c_1100_0^7 - 59616/109741*c_1100_0^6 - 98944/109741*c_1100_0^5 - 82168/109741*c_1100_0^4 + 13876/109741*c_1100_0^3 + 158644/109741*c_1100_0^2 + 159090/109741*c_1100_0 + 10450/109741, c_1100_0^8 - c_1100_0^7 - 1/4*c_1100_0^5 + 3/8*c_1100_0^4 + 7/32*c_1100_0^3 + 5/16*c_1100_0^2 - 81/128*c_1100_0 + 17/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB