Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1410713717] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s340 geometric_solution 4.53961824 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.380028680076 0.785627266339 0 2 3 0 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583130088635 0.236422067918 3 1 4 3 2031 0132 0132 3201 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 -1 0 1 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 0.380028680076 0.785627266339 4 2 2 1 0132 2310 1302 0132 0 0 0 0 0 0 0 0 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 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 0.380028680076 0.785627266339 3 5 5 2 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 -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 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 -0.074068782952 0.578573208394 5 4 4 5 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.862719829984 0.623943309097 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : 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' : 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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_1'], 'c_0101_2' : d['c_0011_1'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 5805277210/1878279437*c_0110_2^17 + 89678470681/1878279437*c_0110_2^15 - 558518184724/1878279437*c_0110_2^13 + 2010027425638/1878279437*c_0110_2^11 - 6003895083734/1878279437*c_0110_2^9 + 12598036184982/1878279437*c_0110_2^7 - 14379911650412/1878279437*c_0110_2^5 + 7329223896185/1878279437*c_0110_2^3 - 1042790034488/1878279437*c_0110_2, c_0011_0 - 1, c_0011_1 - 133130760/1878279437*c_0110_2^16 + 1797717327/1878279437*c_0110_2^14 - 9283055252/1878279437*c_0110_2^12 + 27678854418/1878279437*c_0110_2^10 - 82262273510/1878279437*c_0110_2^8 + 125081387483/1878279437*c_0110_2^6 - 74671878862/1878279437*c_0110_2^4 + 14417512423/1878279437*c_0110_2^2 - 1866855187/1878279437, c_0011_3 - 329414963/1878279437*c_0110_2^17 + 4473744142/1878279437*c_0110_2^15 - 23254374791/1878279437*c_0110_2^13 + 69524540222/1878279437*c_0110_2^11 - 205476748002/1878279437*c_0110_2^9 + 316324240857/1878279437*c_0110_2^7 - 180740950766/1878279437*c_0110_2^5 + 23274268932/1878279437*c_0110_2^3 - 4053510025/1878279437*c_0110_2, c_0101_0 + 21039562/1878279437*c_0110_2^17 - 44397330/1878279437*c_0110_2^15 - 1823384484/1878279437*c_0110_2^13 + 13025640752/1878279437*c_0110_2^11 - 40083439926/1878279437*c_0110_2^9 + 137123284521/1878279437*c_0110_2^7 - 239832991444/1878279437*c_0110_2^5 + 162071413109/1878279437*c_0110_2^3 - 30907067439/1878279437*c_0110_2, c_0101_5 + 1059420261/1878279437*c_0110_2^16 - 14609382717/1878279437*c_0110_2^14 + 77630748409/1878279437*c_0110_2^12 - 237115405278/1878279437*c_0110_2^10 + 697528178044/1878279437*c_0110_2^8 - 1128087878526/1878279437*c_0110_2^6 + 710442814857/1878279437*c_0110_2^4 - 98136037417/1878279437*c_0110_2^2 - 1218959809/1878279437, c_0110_2^18 - 15*c_0110_2^16 + 90*c_0110_2^14 - 313*c_0110_2^12 + 932*c_0110_2^10 - 1870*c_0110_2^8 + 1984*c_0110_2^6 - 945*c_0110_2^4 + 136*c_0110_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB