Magma V2.19-8 Tue Aug 20 2013 23:40:31 on localhost [Seed = 1578646230] Type ? for help. Type -D to quit. Loading file "L11a374__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a374 geometric_solution 10.42671214 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 1 1 1 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 0 1 0 -1 3 0 0 -3 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524500176570 0.836622456527 0 4 5 0 0132 0132 0132 2031 1 1 0 1 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 1 0 -1 -3 0 4 -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 0.513478092218 0.903443664366 6 6 5 0 0132 1230 3120 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447983054465 0.703668968247 7 6 0 8 0132 1302 0132 0132 1 1 1 1 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 1 -1 -3 0 3 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535479807411 0.631599984440 9 1 9 10 0132 0132 3012 0132 1 1 1 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 -1 1 0 0 0 4 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675203261001 0.542953567744 10 10 2 1 3120 2103 3120 0132 1 1 1 1 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 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404944471531 0.669335334465 2 9 2 3 0132 1302 3012 2031 1 1 1 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 0 0 0 0 0 0 0 0 -4 0 4 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356197106858 1.011252798642 3 7 7 8 0132 1230 3012 1230 1 1 1 1 0 -1 1 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 3 0 -3 0 -3 3 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956485162780 1.298738338921 7 10 3 9 3012 3012 0132 3012 1 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 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 1.165931421196 0.535606698879 4 4 8 6 0132 1230 1230 2031 1 1 0 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 0 0 0 -4 0 4 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 0.811400542618 1.356395451634 8 5 4 5 1230 2103 0132 3120 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977077855752 0.950688538730 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_5']), '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' : 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_2_10' : d['1'], 's_0_8' : 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' : 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' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_5']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_2']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_5']), '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_9' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_2']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_2']})} 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_2, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3443058160870111245/159430203103652*c_0101_7^10 - 1896184473323939684/39857550775913*c_0101_7^9 + 8638436149816586647/79715101551826*c_0101_7^8 - 7612620077047623827/39857550775913*c_0101_7^7 + 20567180341175005633/79715101551826*c_0101_7^6 - 23873030844252228801/79715101551826*c_0101_7^5 + 41917174582922620079/159430203103652*c_0101_7^4 - 6884747599763655954/39857550775913*c_0101_7^3 + 14807574075718024661/159430203103652*c_0101_7^2 - 1416347148308342853/39857550775913*c_0101_7 + 1016967785818752557/159430203103652, c_0011_0 - 1, c_0011_10 + 333068545117/8440372868*c_0101_7^10 - 328459529561/4220186434*c_0101_7^9 + 781966859923/4220186434*c_0101_7^8 - 664628577623/2110093217*c_0101_7^7 + 888302011661/2110093217*c_0101_7^6 - 2044815883477/4220186434*c_0101_7^5 + 3488479160449/8440372868*c_0101_7^4 - 568150739978/2110093217*c_0101_7^3 + 1213192543215/8440372868*c_0101_7^2 - 221889958507/4220186434*c_0101_7 + 76846308131/8440372868, c_0011_2 + 723774180899/8440372868*c_0101_7^10 - 1664300886115/8440372868*c_0101_7^9 + 1865325730771/4220186434*c_0101_7^8 - 6651543211149/8440372868*c_0101_7^7 + 2259893928734/2110093217*c_0101_7^6 - 10485936610579/8440372868*c_0101_7^5 + 9319613310827/8440372868*c_0101_7^4 - 3056971772993/4220186434*c_0101_7^3 + 3293206121447/8440372868*c_0101_7^2 - 1278462946861/8440372868*c_0101_7 + 227467233819/8440372868, c_0011_3 + 1127611069277/4220186434*c_0101_7^10 - 2351462560959/4220186434*c_0101_7^9 + 5420751324747/4220186434*c_0101_7^8 - 4705843232282/2110093217*c_0101_7^7 + 6268747381722/2110093217*c_0101_7^6 - 14462240090351/4220186434*c_0101_7^5 + 6203867023392/2110093217*c_0101_7^4 - 7993163242855/4220186434*c_0101_7^3 + 2129546878184/2110093217*c_0101_7^2 - 781033162221/2110093217*c_0101_7 + 255342655395/4220186434, c_0011_5 + 275070493775/8440372868*c_0101_7^10 - 361435885607/8440372868*c_0101_7^9 + 972168611123/8440372868*c_0101_7^8 - 1427165797547/8440372868*c_0101_7^7 + 1668972015099/8440372868*c_0101_7^6 - 1777491391237/8440372868*c_0101_7^5 + 270238133607/2110093217*c_0101_7^4 - 243434419915/4220186434*c_0101_7^3 + 200107060783/8440372868*c_0101_7^2 + 26203069699/8440372868*c_0101_7 - 16615762329/4220186434, c_0011_8 - 1, c_0101_0 + 694965142256/2110093217*c_0101_7^10 - 5737306974517/8440372868*c_0101_7^9 + 6647098155315/4220186434*c_0101_7^8 - 22999015579087/8440372868*c_0101_7^7 + 15309199766185/4220186434*c_0101_7^6 - 35324251192259/8440372868*c_0101_7^5 + 7550589125016/2110093217*c_0101_7^4 - 4873985264827/2110093217*c_0101_7^3 + 5182703173649/4220186434*c_0101_7^2 - 3784405021809/8440372868*c_0101_7 + 312667136057/4220186434, c_0101_10 + 812681673573/4220186434*c_0101_7^10 - 3203770787553/8440372868*c_0101_7^9 + 7580100502007/8440372868*c_0101_7^8 - 12872536727423/8440372868*c_0101_7^7 + 17094279153309/8440372868*c_0101_7^6 - 19610726890999/8440372868*c_0101_7^5 + 16531836063231/8440372868*c_0101_7^4 - 2652583935439/2110093217*c_0101_7^3 + 2799739478533/4220186434*c_0101_7^2 - 2004978108127/8440372868*c_0101_7 + 328430423779/8440372868, c_0101_2 - 171787710171/4220186434*c_0101_7^10 + 815858502645/8440372868*c_0101_7^9 - 1823930154161/8440372868*c_0101_7^8 + 3284500532739/8440372868*c_0101_7^7 - 4504076914429/8440372868*c_0101_7^6 + 5263924471333/8440372868*c_0101_7^5 - 4750959821417/8440372868*c_0101_7^4 + 1586667871935/4220186434*c_0101_7^3 - 863096916143/4220186434*c_0101_7^2 + 688525251443/8440372868*c_0101_7 - 133063176795/8440372868, c_0101_5 + 405217767185/8440372868*c_0101_7^10 - 334637571427/4220186434*c_0101_7^9 + 858026051017/4220186434*c_0101_7^8 - 1359356835327/4220186434*c_0101_7^7 + 885700606342/2110093217*c_0101_7^6 - 997101469774/2110093217*c_0101_7^5 + 3127360966587/8440372868*c_0101_7^4 - 976281405995/4220186434*c_0101_7^3 + 985488836007/8440372868*c_0101_7^2 - 75829313097/2110093217*c_0101_7 + 42489739557/8440372868, c_0101_7^11 - 218/77*c_0101_7^10 + 70/11*c_0101_7^9 - 919/77*c_0101_7^8 + 1336/77*c_0101_7^7 - 1627/77*c_0101_7^6 + 1585/77*c_0101_7^5 - 1179/77*c_0101_7^4 + 699/77*c_0101_7^3 - 324/77*c_0101_7^2 + 97/77*c_0101_7 - 13/77 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB