Magma V2.19-8 Tue Aug 20 2013 23:29:40 on localhost [Seed = 3364794011] Type ? for help. Type -D to quit. Loading file "K11n135__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n135 geometric_solution 8.03987560 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.090293153511 0.700474481992 0 2 5 3 0132 2310 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771296511566 0.357159978453 4 0 6 1 3012 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.227761867029 0.745475185947 7 7 1 0 0132 3201 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251526019455 0.421301764988 6 6 0 2 2103 3120 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.120875123160 0.880500693689 8 7 8 1 0132 0132 1230 0132 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 -1 0 1 0 0 0 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780017107405 1.304434446197 8 4 4 2 2103 3120 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0.790808905951 1.515540802635 3 5 3 8 0132 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.005627127273 0.885653792034 5 7 6 5 0132 2310 2103 3012 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 0 0 0 0 0 7 1 -8 1 0 -1 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 0.790808905951 1.515540802635 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0011_6'], 's_2_8' : d['1'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0101_3']), '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' : d['1'], 's_3_6' : d['1'], 's_3_8' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], '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_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 472309973951888884/45440888695173389*c_1001_0^7 + 3403318445631821559/45440888695173389*c_1001_0^6 + 9921887354989072305/45440888695173389*c_1001_0^5 + 12594940925405474124/45440888695173389*c_1001_0^4 + 5494064884392035077/45440888695173389*c_1001_0^3 + 13003609919548200155/45440888695173389*c_1001_0^2 + 37612673432099605849/45440888695173389*c_1001_0 + 29211471900835813294/45440888695173389, c_0011_0 - 1, c_0011_3 + 1216121200/8682216401*c_1001_0^7 + 6257730360/8682216401*c_1001_0^6 + 13303708025/8682216401*c_1001_0^5 + 8544823586/8682216401*c_1001_0^4 + 4896421925/8682216401*c_1001_0^3 + 29082355096/8682216401*c_1001_0^2 + 46534784195/8682216401*c_1001_0 + 10585217082/8682216401, c_0011_4 + 3757496386/8682216401*c_1001_0^7 + 23944928837/8682216401*c_1001_0^6 + 64630376574/8682216401*c_1001_0^5 + 72981937264/8682216401*c_1001_0^4 + 34632612907/8682216401*c_1001_0^3 + 95467359490/8682216401*c_1001_0^2 + 235207539297/8682216401*c_1001_0 + 157369984871/8682216401, c_0011_6 + 2107829605/8682216401*c_1001_0^7 + 13481932286/8682216401*c_1001_0^6 + 36515948248/8682216401*c_1001_0^5 + 41301973900/8682216401*c_1001_0^4 + 20096849201/8682216401*c_1001_0^3 + 53380077490/8682216401*c_1001_0^2 + 129745224681/8682216401*c_1001_0 + 90320164346/8682216401, c_0101_0 - 122227112/8682216401*c_1001_0^7 - 1447917956/8682216401*c_1001_0^6 - 4486225761/8682216401*c_1001_0^5 - 7275169868/8682216401*c_1001_0^4 - 3806182694/8682216401*c_1001_0^3 - 6604295432/8682216401*c_1001_0^2 - 22859726582/8682216401*c_1001_0 - 24533093643/8682216401, c_0101_1 + 615198311/8682216401*c_1001_0^7 + 3522959712/8682216401*c_1001_0^6 + 8769170560/8682216401*c_1001_0^5 + 9346009804/8682216401*c_1001_0^4 + 6361000916/8682216401*c_1001_0^3 + 15347609044/8682216401*c_1001_0^2 + 31412557897/8682216401*c_1001_0 + 23225464796/8682216401, c_0101_3 + 545218793/8682216401*c_1001_0^7 + 2811758283/8682216401*c_1001_0^6 + 5604760641/8682216401*c_1001_0^5 + 2241245088/8682216401*c_1001_0^4 + 1971362162/8682216401*c_1001_0^3 + 15544532115/8682216401*c_1001_0^2 + 17840064111/8682216401*c_1001_0 - 3856794024/8682216401, c_0110_2 + 1072819461/8682216401*c_1001_0^7 + 6205152027/8682216401*c_1001_0^6 + 14170397302/8682216401*c_1001_0^5 + 12366343007/8682216401*c_1001_0^4 + 5539849545/8682216401*c_1001_0^3 + 24397405327/8682216401*c_1001_0^2 + 47179684882/8682216401*c_1001_0 + 33177571292/8682216401, c_1001_0^8 + 54/7*c_1001_0^7 + 183/7*c_1001_0^6 + 311/7*c_1001_0^5 + 274/7*c_1001_0^4 + 275/7*c_1001_0^3 + 678/7*c_1001_0^2 + 948/7*c_1001_0 + 487/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB