Magma V2.19-8 Wed Aug 21 2013 00:51:24 on localhost [Seed = 1798143493] Type ? for help. Type -D to quit. Loading file "L11a393__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a393 geometric_solution 12.17755534 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 2 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0.156126463540 0.819918541558 0 4 6 5 0132 0132 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 0 0 1 0 0 -1 1 11 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.060768003260 0.744414288583 0 0 8 7 2031 0132 0132 0132 0 0 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 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 0.775887057092 1.176958429256 6 7 0 4 2310 0132 0132 1023 0 2 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 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 0.171004435409 0.649102825291 5 1 8 3 0213 0132 2103 1023 2 0 2 2 0 0 0 0 -1 0 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 0 0 -1 0 0 1 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.194814197386 1.505329648062 4 9 1 7 0213 0132 0132 2310 2 2 0 2 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 1 -1 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047982426003 0.980912637696 6 6 3 1 1230 3012 3201 0132 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772142163907 0.737333980542 5 3 2 10 3201 0132 0132 0132 0 0 2 2 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 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 -0.432258766292 1.007582310576 4 11 12 2 2103 0132 0132 0132 0 0 2 2 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 0 0 0 1 0 -1 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427981517683 0.649406187625 12 5 12 11 0321 0132 2310 3120 2 1 2 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 1 -1 2 0 -1 -1 -12 12 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567741233708 1.007582310576 11 11 7 12 3012 0213 0132 0132 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.359595410324 0.838206191895 9 8 10 10 3120 0132 0213 1230 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359595410324 0.838206191895 9 9 10 8 0321 3201 0132 0132 0 0 2 1 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 0 -1 0 0 0 0 12 -1 0 -11 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359595410324 0.838206191895 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : negation(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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_10'], '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0011_5'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_6']})} 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_3, c_0011_5, c_0011_6, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0101_7, c_1001_10, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3493/49920*c_1100_10^10 - 5561/8320*c_1100_10^9 + 38767/49920*c_1100_10^8 + 2825/1664*c_1100_10^7 - 3509/1560*c_1100_10^6 - 9521/9984*c_1100_10^5 + 34509/16640*c_1100_10^4 - 2891/2080*c_1100_10^3 - 16463/16640*c_1100_10^2 + 16767/16640*c_1100_10 - 37171/49920, c_0011_0 - 1, c_0011_10 - 1/2*c_1100_10^10 + 7/2*c_1100_10^8 - 8*c_1100_10^6 + 1/2*c_1100_10^5 + 13/2*c_1100_10^4 - 2*c_1100_10^3 - 3/2*c_1100_10^2 + 3/2*c_1100_10 - 1/2, c_0011_11 - c_1100_10^4 + 3*c_1100_10^2 - 1, c_0011_3 + c_1100_10^5 - 4*c_1100_10^3 + 3*c_1100_10, c_0011_5 + 1/2*c_1100_10^10 - 1/2*c_1100_10^9 - 5/2*c_1100_10^8 + 2*c_1100_10^7 + 7/2*c_1100_10^6 - 3*c_1100_10^5 + 3*c_1100_10^3 - 3/2*c_1100_10^2 - c_1100_10 + 1, c_0011_6 + c_1100_10, c_0101_10 - 1/2*c_1100_10^10 + 1/2*c_1100_10^9 + 5/2*c_1100_10^8 - 2*c_1100_10^7 - 9/2*c_1100_10^6 + 3*c_1100_10^5 + 4*c_1100_10^4 - 3*c_1100_10^3 - 3/2*c_1100_10^2 + c_1100_10 - 1, c_0101_12 + 1, c_0101_2 - 1/2*c_1100_10^10 + 1/2*c_1100_10^9 + 5/2*c_1100_10^8 - 2*c_1100_10^7 - 7/2*c_1100_10^6 + 3*c_1100_10^5 - 3*c_1100_10^3 + 3/2*c_1100_10^2 - 1, c_0101_6 - c_1100_10^3 + 2*c_1100_10, c_0101_7 - 1, c_1001_10 - 1/2*c_1100_10^10 + 1/2*c_1100_10^9 + 5/2*c_1100_10^8 - 2*c_1100_10^7 - 7/2*c_1100_10^6 + 3*c_1100_10^5 - 3*c_1100_10^3 + 3/2*c_1100_10^2 + c_1100_10 - 1, c_1100_10^11 - 2*c_1100_10^10 - 5*c_1100_10^9 + 10*c_1100_10^8 + 8*c_1100_10^7 - 17*c_1100_10^6 - c_1100_10^5 + 12*c_1100_10^4 - 9*c_1100_10^3 - 3*c_1100_10^2 + 5*c_1100_10 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB