Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 4038159568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s243 geometric_solution 4.40701491 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510599501868 0.129006409040 2 0 2 0 0132 2310 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648437063676 0.336125423215 1 3 1 4 0132 0132 1023 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.667968128964 1.597260527806 4 2 5 4 3201 0132 0132 2310 0 0 0 0 0 0 0 0 -1 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166368474729 0.799826806976 3 5 2 3 3201 1023 0132 2310 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 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 -0.166368474729 0.799826806976 4 5 5 3 1023 3201 2310 0132 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 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 0.249277986362 1.198419449392 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_5'], '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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 16375097297576803/813421577775137*c_0101_5^13 + 181015652207732089/813421577775137*c_0101_5^12 + 420298517484069346/813421577775137*c_0101_5^11 - 210766116464128554/813421577775137*c_0101_5^10 - 2079272106624203137/813421577775137*c_0101_5^9 - 1008506700063996098/813421577775137*c_0101_5^8 + 3516772119937152880/813421577775137*c_0101_5^7 + 1524949906729004566/813421577775137*c_0101_5^6 - 3956827522548514489/813421577775137*c_0101_5^5 + 2794417805031530212/813421577775137*c_0101_5^4 - 20490232534653881/813421577775137*c_0101_5^3 - 1130658791382453951/813421577775137*c_0101_5^2 + 61181033152255043/813421577775137*c_0101_5 - 88474134254576163/813421577775137, c_0011_0 - 1, c_0011_1 - 25495908447095/813421577775137*c_0101_5^13 - 273649689801205/813421577775137*c_0101_5^12 - 567567304897243/813421577775137*c_0101_5^11 + 506360013604471/813421577775137*c_0101_5^10 + 3138098611591760/813421577775137*c_0101_5^9 + 836687408690298/813421577775137*c_0101_5^8 - 5551349219854743/813421577775137*c_0101_5^7 - 1657567562348358/813421577775137*c_0101_5^6 + 4778946575698780/813421577775137*c_0101_5^5 - 5515360925323210/813421577775137*c_0101_5^4 + 4121406515956499/813421577775137*c_0101_5^3 + 367068297803806/813421577775137*c_0101_5^2 + 84179541861912/813421577775137*c_0101_5 + 426979296139587/813421577775137, c_0011_4 + 21273784478956/813421577775137*c_0101_5^13 + 263031978503435/813421577775137*c_0101_5^12 + 852412262934186/813421577775137*c_0101_5^11 + 423947328711061/813421577775137*c_0101_5^10 - 3092874639851060/813421577775137*c_0101_5^9 - 4801279397458989/813421577775137*c_0101_5^8 + 3021373804773625/813421577775137*c_0101_5^7 + 7736150805876270/813421577775137*c_0101_5^6 - 3426256129189014/813421577775137*c_0101_5^5 - 3383414764518094/813421577775137*c_0101_5^4 + 5581706951851711/813421577775137*c_0101_5^3 - 1371181175145888/813421577775137*c_0101_5^2 - 928398245372987/813421577775137*c_0101_5 + 162995070690562/813421577775137, c_0101_0 + 93809791873056/813421577775137*c_0101_5^13 + 1045552101697876/813421577775137*c_0101_5^12 + 2510976834358228/813421577775137*c_0101_5^11 - 868891207307297/813421577775137*c_0101_5^10 - 11520183006205313/813421577775137*c_0101_5^9 - 6104602233916043/813421577775137*c_0101_5^8 + 19169522669448809/813421577775137*c_0101_5^7 + 8088070793460702/813421577775137*c_0101_5^6 - 23011306120279122/813421577775137*c_0101_5^5 + 15960005299739194/813421577775137*c_0101_5^4 + 1038553481282562/813421577775137*c_0101_5^3 - 8421702572668472/813421577775137*c_0101_5^2 + 2183424526060966/813421577775137*c_0101_5 + 113909664760346/813421577775137, c_0101_1 - 426530988599/813421577775137*c_0101_5^13 - 26240242096277/813421577775137*c_0101_5^12 - 269913411924058/813421577775137*c_0101_5^11 - 808245471668653/813421577775137*c_0101_5^10 - 558440146857401/813421577775137*c_0101_5^9 + 1910072817048646/813421577775137*c_0101_5^8 + 3016256555141860/813421577775137*c_0101_5^7 - 805336756379226/813421577775137*c_0101_5^6 - 1905199994745119/813421577775137*c_0101_5^5 + 2269065453990116/813421577775137*c_0101_5^4 - 2230658060083575/813421577775137*c_0101_5^3 - 1125696796067092/813421577775137*c_0101_5^2 - 169867537054711/813421577775137*c_0101_5 + 231635627283188/813421577775137, c_0101_5^14 + 11*c_0101_5^13 + 25*c_0101_5^12 - 15*c_0101_5^11 - 128*c_0101_5^10 - 54*c_0101_5^9 + 226*c_0101_5^8 + 85*c_0101_5^7 - 260*c_0101_5^6 + 180*c_0101_5^5 + 6*c_0101_5^4 - 82*c_0101_5^3 + 8*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB