Magma V2.19-8 Tue Aug 20 2013 23:42:22 on localhost [Seed = 3903753662] Type ? for help. Type -D to quit. Loading file "L13n2704__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2704 geometric_solution 9.63751442 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 0 0 2 0 -2 0 0 1 -1 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 4 -3 -4 0 0 4 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698820426539 1.708596106211 0 2 6 5 0132 3201 0132 0132 1 1 0 1 0 1 -1 0 0 0 0 0 3 -3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 1 0 0 -1 2 -2 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653413365013 0.743946571741 3 0 1 7 2103 0132 2310 0132 0 1 0 1 0 -2 3 -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 -1 2 -1 -4 0 4 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 0.243793768441 0.489782579599 6 7 2 0 0132 0321 2103 0132 0 1 0 1 0 0 0 0 0 0 1 -1 0 3 0 -3 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 4 -4 0 2 0 -2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.356912280099 0.445341090577 6 5 0 7 1230 3120 0132 3120 0 1 0 1 0 0 2 -2 -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 1 -1 -3 0 3 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503413694407 0.446971972695 8 4 1 9 0132 3120 0132 0132 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 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 0.862502069421 1.505024670516 3 4 8 1 0132 3012 0132 0132 1 1 1 0 0 -1 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 0 0 0 0 -3 0 3 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 0.255411315812 1.074200513314 4 10 2 3 3120 0132 0132 0321 0 1 0 0 0 -1 1 0 0 0 0 0 0 3 0 -3 2 -2 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 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084687506112 0.725511849991 5 10 9 6 0132 1023 0132 0132 1 1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209500929517 0.881112120313 10 10 5 8 2103 1302 0132 0132 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -2 2 0 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188501119683 0.550858178739 8 7 9 9 1023 0132 2103 2031 0 1 0 0 0 1 -1 0 0 0 0 0 0 2 0 -2 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 1 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188501119683 0.550858178739 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : d['c_0011_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_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : 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_1100_9' : d['c_1100_1'], 'c_1100_8' : d['c_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_0011_4']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3245005/2636*c_1100_1^8 - 35250589/3954*c_1100_1^7 + 40779746/1977*c_1100_1^6 - 19663762/1977*c_1100_1^5 + 29861/1318*c_1100_1^4 - 321792073/7908*c_1100_1^3 - 51856085/2636*c_1100_1^2 - 148385027/7908*c_1100_1 - 21041837/3954, c_0011_0 - 1, c_0011_10 + 85/2636*c_1100_1^8 - 841/3954*c_1100_1^7 + 3311/7908*c_1100_1^6 - 1135/7908*c_1100_1^5 + 1245/2636*c_1100_1^4 - 2812/1977*c_1100_1^3 - 2593/1318*c_1100_1^2 - 6617/7908*c_1100_1 - 2299/7908, c_0011_3 - 607/1318*c_1100_1^8 + 12779/3954*c_1100_1^7 - 13555/1977*c_1100_1^6 + 4849/3954*c_1100_1^5 + 1505/659*c_1100_1^4 + 30998/1977*c_1100_1^3 + 5810/659*c_1100_1^2 + 24413/3954*c_1100_1 + 2522/1977, c_0011_4 - 915/1318*c_1100_1^8 + 10061/1977*c_1100_1^7 - 47659/3954*c_1100_1^6 + 25553/3954*c_1100_1^5 - 67/1318*c_1100_1^4 + 44182/1977*c_1100_1^3 + 6476/659*c_1100_1^2 + 34171/3954*c_1100_1 + 8777/3954, c_0011_9 - 1085/2636*c_1100_1^8 + 11743/3954*c_1100_1^7 - 54281/7908*c_1100_1^6 + 27823/7908*c_1100_1^5 - 2557/2636*c_1100_1^4 + 57407/3954*c_1100_1^3 + 4513/659*c_1100_1^2 + 59267/7908*c_1100_1 + 17329/7908, c_0101_0 - 2777/3954*c_1100_1^8 + 6639/1318*c_1100_1^7 - 22612/1977*c_1100_1^6 + 20165/3954*c_1100_1^5 - 1052/1977*c_1100_1^4 + 48604/1977*c_1100_1^3 + 24521/1977*c_1100_1^2 + 14565/1318*c_1100_1 + 5299/1977, c_0101_1 - 1, c_0101_10 + 1277/1977*c_1100_1^8 - 18689/3954*c_1100_1^7 + 14697/1318*c_1100_1^6 - 11434/1977*c_1100_1^5 - 1705/3954*c_1100_1^4 - 40153/1977*c_1100_1^3 - 17881/1977*c_1100_1^2 - 16711/1977*c_1100_1 - 9461/3954, c_0101_7 + 2777/3954*c_1100_1^8 - 6639/1318*c_1100_1^7 + 22612/1977*c_1100_1^6 - 20165/3954*c_1100_1^5 + 1052/1977*c_1100_1^4 - 48604/1977*c_1100_1^3 - 24521/1977*c_1100_1^2 - 15883/1318*c_1100_1 - 5299/1977, c_1001_2 - 2777/3954*c_1100_1^8 + 6639/1318*c_1100_1^7 - 22612/1977*c_1100_1^6 + 20165/3954*c_1100_1^5 - 1052/1977*c_1100_1^4 + 48604/1977*c_1100_1^3 + 24521/1977*c_1100_1^2 + 15883/1318*c_1100_1 + 5299/1977, c_1100_1^9 - 7*c_1100_1^8 + 15*c_1100_1^7 - 4*c_1100_1^6 - 2*c_1100_1^5 - 33*c_1100_1^4 - 24*c_1100_1^3 - 19*c_1100_1^2 - 8*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB