Magma V2.19-8 Tue Aug 20 2013 16:18:02 on localhost [Seed = 3937105447] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2270 geometric_solution 5.69251497 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.526119000949 0.271836342793 2 0 3 0 0132 2310 0132 0132 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 1 -1 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 0.973667993280 0.503297070301 1 4 3 5 0132 0132 3012 0132 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 -1 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 0.919324058724 0.837798288136 5 2 4 1 3201 1230 1023 0132 0 0 0 0 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 1 -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 0.919324058724 0.837798288136 4 2 3 4 3012 0132 1023 1230 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 1 0 -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 0.370289839600 0.806823465415 6 6 2 3 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626261667995 1.339481073929 5 6 6 5 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.693802843436 0.441507682683 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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' : negation(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_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_0_6' : d['1'], 's_0_4' : negation(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_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 166170343939/495525074*c_0101_0*c_0101_3^13 + 284710808043/495525074*c_0101_0*c_0101_3^12 - 1035836090246/247762537*c_0101_0*c_0101_3^11 - 3053781034561/495525074*c_0101_0*c_0101_3^10 + 5482314135235/247762537*c_0101_0*c_0101_3^9 + 9396521112105/495525074*c_0101_0*c_0101_3^8 - 14107747981819/247762537*c_0101_0*c_0101_3^7 - 1866371494431/247762537*c_0101_0*c_0101_3^6 + 31566628716211/495525074*c_0101_0*c_0101_3^5 - 26966411787367/495525074*c_0101_0*c_0101_3^4 + 13210938135729/495525074*c_0101_0*c_0101_3^3 + 630194576083/495525074*c_0101_0*c_0101_3^2 - 2504053029061/495525074*c_0101_0*c_0101_3 + 235329646402/247762537*c_0101_0, c_0011_0 - 1, c_0011_1 + 80206607/247762537*c_0101_3^13 + 193430390/247762537*c_0101_3^12 - 899837179/247762537*c_0101_3^11 - 2177219636/247762537*c_0101_3^10 + 4162806117/247762537*c_0101_3^9 + 8210030980/247762537*c_0101_3^8 - 9763574098/247762537*c_0101_3^7 - 11021044206/247762537*c_0101_3^6 + 12123129906/247762537*c_0101_3^5 - 2913157375/247762537*c_0101_3^4 - 839738528/247762537*c_0101_3^3 + 4110693342/247762537*c_0101_3^2 - 532938004/247762537*c_0101_3 - 428015603/247762537, c_0011_3 - 231727684/247762537*c_0101_0*c_0101_3^13 - 428783315/247762537*c_0101_0*c_0101_3^12 + 2826163201/247762537*c_0101_0*c_0101_3^11 + 4645217156/247762537*c_0101_0*c_0101_3^10 - 14592634134/247762537*c_0101_0*c_0101_3^9 - 15113584938/247762537*c_0101_0*c_0101_3^8 + 36870786314/247762537*c_0101_0*c_0101_3^7 + 10466426800/247762537*c_0101_0*c_0101_3^6 - 41362986765/247762537*c_0101_0*c_0101_3^5 + 31037226511/247762537*c_0101_0*c_0101_3^4 - 15473895764/247762537*c_0101_0*c_0101_3^3 - 1331277542/247762537*c_0101_0*c_0101_3^2 + 2101820778/247762537*c_0101_0*c_0101_3 - 105264494/247762537*c_0101_0, c_0011_5 + 290301593/247762537*c_0101_0*c_0101_3^13 + 547027301/247762537*c_0101_0*c_0101_3^12 - 3500899585/247762537*c_0101_0*c_0101_3^11 - 5873600505/247762537*c_0101_0*c_0101_3^10 + 17897662023/247762537*c_0101_0*c_0101_3^9 + 18882061582/247762537*c_0101_0*c_0101_3^8 - 44953081768/247762537*c_0101_0*c_0101_3^7 - 12363206433/247762537*c_0101_0*c_0101_3^6 + 50494333064/247762537*c_0101_0*c_0101_3^5 - 39919375260/247762537*c_0101_0*c_0101_3^4 + 19062971326/247762537*c_0101_0*c_0101_3^3 + 1762602852/247762537*c_0101_0*c_0101_3^2 - 2723856606/247762537*c_0101_0*c_0101_3 + 290280447/247762537*c_0101_0, c_0101_0^2 + 80206607/247762537*c_0101_3^13 + 193430390/247762537*c_0101_3^12 - 899837179/247762537*c_0101_3^11 - 2177219636/247762537*c_0101_3^10 + 4162806117/247762537*c_0101_3^9 + 8210030980/247762537*c_0101_3^8 - 9763574098/247762537*c_0101_3^7 - 11021044206/247762537*c_0101_3^6 + 12123129906/247762537*c_0101_3^5 - 2913157375/247762537*c_0101_3^4 - 839738528/247762537*c_0101_3^3 + 4110693342/247762537*c_0101_3^2 - 532938004/247762537*c_0101_3 - 675778140/247762537, c_0101_1 + 60036893/247762537*c_0101_3^13 + 91404461/247762537*c_0101_3^12 - 771356250/247762537*c_0101_3^11 - 977052999/247762537*c_0101_3^10 + 4170714035/247762537*c_0101_3^9 + 2749118893/247762537*c_0101_3^8 - 10752116679/247762537*c_0101_3^7 + 353127865/247762537*c_0101_3^6 + 11552207209/247762537*c_0101_3^5 - 11613565269/247762537*c_0101_3^4 + 6320089258/247762537*c_0101_3^3 - 917752216/247762537*c_0101_3^2 - 602367158/247762537*c_0101_3 + 347305781/247762537, c_0101_3^14 + 2*c_0101_3^13 - 12*c_0101_3^12 - 22*c_0101_3^11 + 61*c_0101_3^10 + 76*c_0101_3^9 - 155*c_0101_3^8 - 73*c_0101_3^7 + 187*c_0101_3^6 - 106*c_0101_3^5 + 29*c_0101_3^4 + 29*c_0101_3^3 - 15*c_0101_3^2 - 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB