Magma V2.19-8 Wed Aug 21 2013 00:54:50 on localhost [Seed = 4206682300] Type ? for help. Type -D to quit. Loading file "L12n658__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n658 geometric_solution 12.10306384 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 1 -8 7 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 0.625862530817 0.492253365028 0 4 6 5 0132 0132 0132 0132 1 1 0 1 0 1 0 -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 -8 0 8 0 0 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 1.405646027766 0.759361437543 0 0 5 7 2031 0132 2031 0132 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 8 0 -8 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 0.012862034310 0.776403701183 6 8 0 9 0132 0132 0132 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 -7 7 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 0.815352216707 1.188150868003 5 1 10 9 0213 0132 0132 1230 1 1 1 0 0 -1 0 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 8 0 -8 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 0.687363472128 0.721239774730 4 11 1 2 0213 0132 0132 1302 1 1 1 0 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 -8 8 -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 0.731144589948 0.814525363996 3 12 12 1 0132 0132 1023 0132 1 1 1 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 0 0 0 0 7 -7 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 0.299564608103 0.652725616569 11 10 2 8 0132 3012 0132 3120 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 -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 -0.065891516791 1.108848917578 7 3 11 9 3120 0132 1023 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210829669565 0.941836164757 4 8 3 12 3012 1302 0132 1023 1 1 1 1 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 0 0 0 0 0 -7 7 8 0 0 -8 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755687609495 0.507870915986 7 11 12 4 1230 0321 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719995981223 0.554985352205 7 5 8 10 0132 0132 1023 0321 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 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 0.279591243425 0.903234568471 10 6 6 9 2031 0132 1023 1023 1 1 1 1 0 1 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 -7 -1 8 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584434733502 0.758080296426 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0110_12'], 'c_1001_12' : d['c_0101_6'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], '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_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : 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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_11']), '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_0011_0'], 'c_0101_9' : d['c_0101_6'], '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_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_9, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_0110_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1965225/1394638*c_1001_4^6 - 171778161/13946380*c_1001_4^5 - 393491731/13946380*c_1001_4^4 - 211677449/13946380*c_1001_4^3 - 291452197/6973190*c_1001_4^2 - 62903567/13946380*c_1001_4 - 133832009/13946380, c_0011_0 - 1, c_0011_10 + 2*c_1001_4^5 + 8*c_1001_4^4 + c_1001_4^3 + 16*c_1001_4^2 - c_1001_4 + 5, c_0011_11 + 3*c_1001_4^6 + 12*c_1001_4^5 + 2*c_1001_4^4 + 26*c_1001_4^3 - c_1001_4^2 + 9*c_1001_4, c_0011_12 - c_1001_4^6 - 4*c_1001_4^5 - c_1001_4^4 - 10*c_1001_4^3 + c_1001_4^2 - 5*c_1001_4 + 1, c_0011_9 + 3*c_1001_4^6 + 10*c_1001_4^5 - 6*c_1001_4^4 + 25*c_1001_4^3 - 17*c_1001_4^2 + 10*c_1001_4 - 5, c_0101_1 - 1, c_0101_11 + c_1001_4^5 + 4*c_1001_4^4 + c_1001_4^3 + 10*c_1001_4^2 + 5, c_0101_12 - 3*c_1001_4^6 - 11*c_1001_4^5 + 2*c_1001_4^4 - 25*c_1001_4^3 + 10*c_1001_4^2 - 10*c_1001_4 + 4, c_0101_2 + 3*c_1001_4^6 + 12*c_1001_4^5 + 2*c_1001_4^4 + 26*c_1001_4^3 - c_1001_4^2 + 9*c_1001_4, c_0101_6 + 3*c_1001_4^6 + 12*c_1001_4^5 + 2*c_1001_4^4 + 26*c_1001_4^3 - c_1001_4^2 + 10*c_1001_4, c_0101_8 - 3*c_1001_4^6 - 12*c_1001_4^5 - 2*c_1001_4^4 - 26*c_1001_4^3 + c_1001_4^2 - 10*c_1001_4 + 1, c_0110_12 - c_1001_4^6 - 7*c_1001_4^5 - 13*c_1001_4^4 - 12*c_1001_4^3 - 26*c_1001_4^2 - 4*c_1001_4 - 9, c_1001_4^7 + 4*c_1001_4^6 + c_1001_4^5 + 10*c_1001_4^4 + 6*c_1001_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.660 Total time: 0.860 seconds, Total memory usage: 32.09MB