Magma V2.19-8 Wed Aug 21 2013 01:13:56 on localhost [Seed = 4256949056] Type ? for help. Type -D to quit. Loading file "L14n9293__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n9293 geometric_solution 12.40269630 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 2 0 -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 0.448687069528 0.826519969002 0 1 1 2 0132 3201 2310 2310 1 1 1 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 1 -1 0 -2 0 -1 3 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.507303248039 0.934495984662 1 0 6 5 3201 0132 0132 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 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448687069528 0.826519969002 7 5 8 0 0132 2310 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773669646880 0.557251569139 5 5 0 6 0321 2103 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 -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 0.751428765979 0.728031322242 4 4 2 3 0321 2103 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 0.751428765979 0.728031322242 7 4 8 2 2310 2310 2310 0132 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 -1 1 0 0 -1 1 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773669646880 0.557251569139 3 9 6 10 0132 0132 3201 0132 1 1 1 1 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 -1 1 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 0 0.716066589571 0.609494003718 11 6 12 3 0132 3201 0132 0132 1 1 1 1 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716066589571 0.609494003718 11 7 11 12 1023 0132 2031 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 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 0.707098789741 0.874237640094 11 12 7 12 2103 2031 0132 0132 1 1 0 1 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 1 -1 0 0 0 -3 3 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707098789741 0.874237640094 8 9 10 9 0132 1023 2103 1302 0 1 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 0 0 0 0 0 0 0 0 2 -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 0.707098789741 0.874237640094 10 9 10 8 1302 0321 0132 0132 1 1 1 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 1 0 -3 2 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707098789741 0.874237640094 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_6']), '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3388851655/4403315584*c_1001_3^9 + 37488660823/17613262336*c_1001_3^8 - 31207160699/4403315584*c_1001_3^7 + 1124495851/68801806*c_1001_3^6 - 107731891661/4403315584*c_1001_3^5 + 328679837989/8806631168*c_1001_3^4 - 162534588509/4403315584*c_1001_3^3 + 26044350541/1100828896*c_1001_3^2 - 14993183069/1100828896*c_1001_3 + 64459133567/17613262336, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 6515/69488*c_1001_3^9 - 6123/34744*c_1001_3^8 + 42423/69488*c_1001_3^7 - 34881/34744*c_1001_3^6 + 58429/69488*c_1001_3^5 - 15145/34744*c_1001_3^4 - 92539/69488*c_1001_3^3 + 123169/34744*c_1001_3^2 - 50759/17372*c_1001_3 + 7662/4343, c_0011_12 - 35/172*c_1001_3^9 + 73/344*c_1001_3^8 - 101/86*c_1001_3^7 + 477/344*c_1001_3^6 - 32/43*c_1001_3^5 + 327/344*c_1001_3^4 + 160/43*c_1001_3^3 - 1965/344*c_1001_3^2 + 633/172*c_1001_3 - 133/43, c_0011_4 - 2595/17372*c_1001_3^9 + 639/8686*c_1001_3^8 - 26999/34744*c_1001_3^7 + 3121/8686*c_1001_3^6 + 3465/17372*c_1001_3^5 - 15843/17372*c_1001_3^4 + 174201/34744*c_1001_3^3 - 101769/17372*c_1001_3^2 + 79895/17372*c_1001_3 - 13774/4343, c_0011_5 - 2595/17372*c_1001_3^9 + 639/8686*c_1001_3^8 - 26999/34744*c_1001_3^7 + 3121/8686*c_1001_3^6 + 3465/17372*c_1001_3^5 - 15843/17372*c_1001_3^4 + 174201/34744*c_1001_3^3 - 101769/17372*c_1001_3^2 + 79895/17372*c_1001_3 - 13774/4343, c_0011_6 + 6515/69488*c_1001_3^9 - 6123/34744*c_1001_3^8 + 42423/69488*c_1001_3^7 - 34881/34744*c_1001_3^6 + 58429/69488*c_1001_3^5 - 15145/34744*c_1001_3^4 - 92539/69488*c_1001_3^3 + 123169/34744*c_1001_3^2 - 50759/17372*c_1001_3 + 7662/4343, c_0101_0 - c_1001_3, c_0101_1 - 1900/4343*c_1001_3^9 + 19935/17372*c_1001_3^8 - 72163/17372*c_1001_3^7 + 156211/17372*c_1001_3^6 - 63813/4343*c_1001_3^5 + 375725/17372*c_1001_3^4 - 387195/17372*c_1001_3^3 + 279517/17372*c_1001_3^2 - 76817/8686*c_1001_3 + 10981/4343, c_0101_10 + 21405/69488*c_1001_3^9 - 17133/17372*c_1001_3^8 + 229127/69488*c_1001_3^7 - 275529/34744*c_1001_3^6 + 919699/69488*c_1001_3^5 - 347273/17372*c_1001_3^4 + 1536229/69488*c_1001_3^3 - 592459/34744*c_1001_3^2 + 170579/17372*c_1001_3 - 16570/4343, c_0101_6 - 21405/69488*c_1001_3^9 + 17133/17372*c_1001_3^8 - 229127/69488*c_1001_3^7 + 275529/34744*c_1001_3^6 - 919699/69488*c_1001_3^5 + 347273/17372*c_1001_3^4 - 1536229/69488*c_1001_3^3 + 592459/34744*c_1001_3^2 - 170579/17372*c_1001_3 + 16570/4343, c_0101_8 - 4045/17372*c_1001_3^9 + 10653/17372*c_1001_3^8 - 39925/17372*c_1001_3^7 + 84247/17372*c_1001_3^6 - 141809/17372*c_1001_3^5 + 192103/17372*c_1001_3^4 - 192579/17372*c_1001_3^3 + 106565/17372*c_1001_3^2 - 11081/8686*c_1001_3 - 450/4343, c_1001_3^10 - 12/5*c_1001_3^9 + 48/5*c_1001_3^8 - 20*c_1001_3^7 + 174/5*c_1001_3^6 - 268/5*c_1001_3^5 + 288/5*c_1001_3^4 - 252/5*c_1001_3^3 + 173/5*c_1001_3^2 - 72/5*c_1001_3 + 32/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB