Magma V2.19-8 Tue Aug 20 2013 23:38:22 on localhost [Seed = 475691064] Type ? for help. Type -D to quit. Loading file "K13n62__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n62 geometric_solution 8.72265936 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 1 -1 1 0 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 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 0.081558632664 0.860200709681 0 4 0 5 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -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 1 -1 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 0.053943945404 0.704792050261 6 7 8 0 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 0 -1 1 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127272712663 0.557937543145 9 9 0 5 0132 3120 0132 3201 0 0 0 0 0 0 1 -1 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 0.421488759232 0.325698767560 5 1 7 9 3201 0132 1230 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 1 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 0.702325790924 0.519706820755 8 3 1 4 2310 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007315130335 2.452328308677 2 8 8 7 0132 1023 2310 2310 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479508366761 1.105643178396 6 2 9 4 3201 0132 2031 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459547905017 0.703317820670 6 6 5 2 1023 3201 3201 0132 0 0 0 0 0 1 0 -1 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 -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 -0.072517890118 1.430242542382 3 3 4 7 0132 3120 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 -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 0.901638012614 0.334218675572 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_0']), 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : 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_9' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0101_4']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_2']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), '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_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_4'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 17005472938137717104859703/251741877594691939217152*c_1001_1^13 - 37037836307460847323993341/251741877594691939217152*c_1001_1^12 - 63756879917896817857378647/125870938797345969608576*c_1001_1^11 - 327944015934778689712911293/251741877594691939217152*c_1001_1^10 - 915046261309305899901047909/251741877594691939217152*c_1001_1^9 - 1514052211403083288465422301/251741877594691939217152*c_1001_1^8 - 3256426687764832821903925281/251741877594691939217152*c_1001_1^7 - 4797760300807013324902973881/251741877594691939217152*c_1001_1^6 - 79230220917204558958147977/2828560422412268979968*c_1001_1^5 - 571808606605140639171727387/15733867349668246201072*c_1001_1^4 - 8215740956855215315912684307/251741877594691939217152*c_1001_1^3 - 2458821196501244334675551821/125870938797345969608576*c_1001_1^2 - 94943747654392783637109963/15733867349668246201072*c_1001_1 + 678473706943911072648667/31467734699336492402144, c_0011_0 - 1, c_0011_2 + 2343733809/18084431656*c_1001_1^13 + 1065727473/18084431656*c_1001_1^12 + 1004432854/2260553957*c_1001_1^11 + 13894501763/18084431656*c_1001_1^10 + 43910843181/18084431656*c_1001_1^9 - 18000069247/18084431656*c_1001_1^8 + 61309243277/18084431656*c_1001_1^7 - 145142471763/18084431656*c_1001_1^6 - 258337531139/18084431656*c_1001_1^5 - 254279055509/9042215828*c_1001_1^4 - 1203422370039/18084431656*c_1001_1^3 - 364783901745/4521107914*c_1001_1^2 - 136449736566/2260553957*c_1001_1 - 51880077855/2260553957, c_0011_3 + 428069715/9042215828*c_1001_1^13 + 1071408163/9042215828*c_1001_1^12 + 909510234/2260553957*c_1001_1^11 + 9650491337/9042215828*c_1001_1^10 + 26843959995/9042215828*c_1001_1^9 + 48510570907/9042215828*c_1001_1^8 + 101899467247/9042215828*c_1001_1^7 + 160353800515/9042215828*c_1001_1^6 + 241690091123/9042215828*c_1001_1^5 + 162157238229/4521107914*c_1001_1^4 + 328274722763/9042215828*c_1001_1^3 + 61717249012/2260553957*c_1001_1^2 + 29411859837/2260553957*c_1001_1 + 7011991493/2260553957, c_0011_5 + 2711849153/9042215828*c_1001_1^13 + 7693834737/9042215828*c_1001_1^12 + 6043726116/2260553957*c_1001_1^11 + 65364010731/9042215828*c_1001_1^10 + 179825498737/9042215828*c_1001_1^9 + 335547013973/9042215828*c_1001_1^8 + 673619183121/9042215828*c_1001_1^7 + 1096408838013/9042215828*c_1001_1^6 + 1616694006505/9042215828*c_1001_1^5 + 1083397962037/4521107914*c_1001_1^4 + 2243936234553/9042215828*c_1001_1^3 + 401200328445/2260553957*c_1001_1^2 + 181257370953/2260553957*c_1001_1 + 34697116085/2260553957, c_0101_0 - 744722115/9042215828*c_1001_1^13 - 384576627/2260553957*c_1001_1^12 - 5390689957/9042215828*c_1001_1^11 - 13707910881/9042215828*c_1001_1^10 - 19275023253/4521107914*c_1001_1^9 - 15386000524/2260553957*c_1001_1^8 - 33605447495/2260553957*c_1001_1^7 - 47988087347/2260553957*c_1001_1^6 - 70343978009/2260553957*c_1001_1^5 - 351838494183/9042215828*c_1001_1^4 - 298458075905/9042215828*c_1001_1^3 - 139514877725/9042215828*c_1001_1^2 - 2150201013/2260553957*c_1001_1 + 6765715983/2260553957, c_0101_1 + 513262707/4521107914*c_1001_1^13 + 1422279841/4521107914*c_1001_1^12 + 2182285188/2260553957*c_1001_1^11 + 11969899921/4521107914*c_1001_1^10 + 32587908401/4521107914*c_1001_1^9 + 59988118601/4521107914*c_1001_1^8 + 119063369357/4521107914*c_1001_1^7 + 194445348383/4521107914*c_1001_1^6 + 276852859845/4521107914*c_1001_1^5 + 187662576830/2260553957*c_1001_1^4 + 367016695485/4521107914*c_1001_1^3 + 121288132453/2260553957*c_1001_1^2 + 47310390472/2260553957*c_1001_1 + 6079461739/2260553957, c_0101_2 - 818215827/9042215828*c_1001_1^13 - 250013088/2260553957*c_1001_1^12 - 4266190425/9042215828*c_1001_1^11 - 9724645641/9042215828*c_1001_1^10 - 13887947923/4521107914*c_1001_1^9 - 7064487443/2260553957*c_1001_1^8 - 19858146868/2260553957*c_1001_1^7 - 17884088755/2260553957*c_1001_1^6 - 22854623815/2260553957*c_1001_1^5 - 88277282347/9042215828*c_1001_1^4 + 75923259011/9042215828*c_1001_1^3 + 186817178843/9042215828*c_1001_1^2 + 45545122529/2260553957*c_1001_1 + 19447142419/2260553957, c_0101_4 - 64488291/18084431656*c_1001_1^13 - 4645513307/18084431656*c_1001_1^12 - 2734160933/4521107914*c_1001_1^11 - 35883799165/18084431656*c_1001_1^10 - 94629896039/18084431656*c_1001_1^9 - 257665580783/18084431656*c_1001_1^8 - 441985921179/18084431656*c_1001_1^7 - 918848472723/18084431656*c_1001_1^6 - 1398306700643/18084431656*c_1001_1^5 - 1007305315359/9042215828*c_1001_1^4 - 2646308988335/18084431656*c_1001_1^3 - 599270219255/4521107914*c_1001_1^2 - 360909138513/4521107914*c_1001_1 - 56311899704/2260553957, c_0101_9 + 3129003393/9042215828*c_1001_1^13 + 3733046309/4521107914*c_1001_1^12 + 24992745681/9042215828*c_1001_1^11 + 65353198623/9042215828*c_1001_1^10 + 45370664821/2260553957*c_1001_1^9 + 157249693113/4521107914*c_1001_1^8 + 330107403679/4521107914*c_1001_1^7 + 505078002465/4521107914*c_1001_1^6 + 744627797919/4521107914*c_1001_1^5 + 1958063338735/9042215828*c_1001_1^4 + 1876164799003/9042215828*c_1001_1^3 + 1234524850049/9042215828*c_1001_1^2 + 118162431548/2260553957*c_1001_1 + 17437792157/2260553957, c_1001_1^14 + 3*c_1001_1^13 + 10*c_1001_1^12 + 27*c_1001_1^11 + 75*c_1001_1^10 + 147*c_1001_1^9 + 303*c_1001_1^8 + 503*c_1001_1^7 + 783*c_1001_1^6 + 1080*c_1001_1^5 + 1221*c_1001_1^4 + 1070*c_1001_1^3 + 672*c_1001_1^2 + 280*c_1001_1 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB