r"""
This file is meant to catch errors in the PARI/GP package which are not
caught by any other tests.
Check that ticket #9876 has been fixed, this test comes from PARI's
self-test "rnfkummer"::
sage: pari('setrand(1); lift(rnfkummer(bnrinit(bnfinit(y^4-52*y^2+26,1),3,1),Mat(5)))') # long time (4s on sage.math, 2011)
x^5 + (-12490585381661544359255403301035053110061910*y^3 + 8875378520404561472503422910872004290197460*y^2 + 643203912732761873050292808675549433737179610*y - 457038484130159980782436350930533714409061170)*x^3 + (-134027514281645340620300162483056350640850689292892267066826165512*y^3 + 95235243030030469814112992330493778292557062830362488860799262053*y^2 + 6901759924725033375901003506523314713919218011682438894990413482822*y - 4904148131739972327284545793455166015180538153351582525198684659988)*x^2 + (-47397957557570888155708856849994683849365520972511563824369572802678417823703951003630*y^3 + 33679323468496441220407209890566679520252152888549909181980050360738580514765560899830*y^2 + 2440762448949326006691055037485233408803108189791110990339027554592708168372793653934980*y - 1734320048033240933678067521047553381449799255523887315704756124974424249211251806055445)*x + (88847913213212543643724914281374137431466584547137800780754135469698376356168903046151157223082894732483818/5*y^3 - 63132205749445286461822170095386361952302057584137825393349862937480952856334509099209369622841067534904427/5*y^2 - 4575231959624371057665356018310756876851369587901000773265750996233180145132238920504044583057371848969400608/5*y + 3250999094748458040342075570309205473235256099747294466325048378505864671503910959921397017511503388596960342/5)
Check that ticket #10195 (PARI bug 1153) has been fixed::
sage: print gp.eval("mathnf([0,0,0,0,0,0,0,0,0,13;0,0,0,0,0,0,0,0,23,6;0,0,0,0,0,0,0,23,-4,-7;0,0,0,0,0,0,17,-3,5,-5;0,0,0,0,0,56,16,-16,-15,-17;0,0,0,0,57,24,-16,-25,2,-21;0,0,0,114,9,56,51,-52,25,-55;0,0,113,-31,-11,24,0,28,34,-16;0,50,3,2,16,-6,-2,7,-19,-21;118,43,51,23,37,-52,18,38,51,28],0)")
[787850171872400 32189386376004 356588299060422 742392731867995 282253457851430 665185047494955 664535243562463 744564809133574 113975061998590 527459013372200]
[0 12 6 11 5 3 7 6 6 0]
[0 0 3 1 2 1 1 0 0 0]
[0 0 0 1 0 0 0 0 0 0]
[0 0 0 0 1 0 0 0 0 0]
[0 0 0 0 0 1 0 0 0 0]
[0 0 0 0 0 0 1 0 0 0]
[0 0 0 0 0 0 0 1 0 0]
[0 0 0 0 0 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 1]
Check that ticket #11604 (PARI bug 1154) has been fixed::
sage: A = Matrix(ZZ,4,4,[32982266684193100, 1368614777139719, 224591013270052693, 276460184982223238,1368614777139719, 56791380087354, 9319512049770279, 11471848267545007,224591013270052693, 9319512049770279,1529340971891522140, 1882541434053596358,276460184982223238, 11471848267545007, 1882541434053596358, 2317313350044091414])
sage: pari(A).qfminim(2,0)
[0, 0, [;]]
"""
