alpha(1)=(-.7248698190879261E-07,-.7266856459887401E-07)
      alpha(2)=(-.7248698190879261E-07, .7266856459887401E-07)
      alpha(3)=(-.3761817129252043E-06,-.3769314065715886E-06)
      alpha(4)=(-.3761817129252043E-06, .3769314065715886E-06)
      alpha(5)=(-.1264056865588544E-05,-.1266668072310468E-05)
      alpha(6)=(-.1264056865588544E-05, .1266668072310468E-05)
      alpha(7)=(-.3738466040644283E-05,-.3758052767416740E-05)
      alpha(8)=(-.3738466040644283E-05, .3758052767416740E-05)
      alpha(9)=(-.1053054276380811E-04,-.1064172701253104E-04)
      alpha(10)=(-.1053054276380811E-04, .1064172701253104E-04)
      alpha(11)=(-.2902787565325144E-04,-.2948662740491706E-04)
      alpha(12)=(-.2902787565325144E-04, .2948662740491706E-04)
      alpha(13)=(-.7907555696587643E-04,-.8101521788775704E-04)
      alpha(14)=(-.7907555696587643E-04, .8101521788775704E-04)
      alpha(15)=(-.2136714788000509E-03,-.2223118737627421E-03)
      alpha(16)=(-.2136714788000509E-03, .2223118737627421E-03)
      alpha(17)=(-.5718490556660803E-03,-.6120497162181238E-03)
      alpha(18)=(-.5718490556660803E-03, .6120497162181238E-03)
      alpha(19)=(-.1500648374605461E-02,-.1702427459760661E-02)
      alpha(20)=(-.1500648374605461E-02, .1702427459760661E-02)
      alpha(21)=(-.3777846647633256E-02,-.4822679646038999E-02)
      alpha(22)=(-.3777846647633256E-02, .4822679646038999E-02)
      alpha(23)=(-.8612337122259847E-02,-.1397170663788553E-01)
      alpha(24)=(-.8612337122259847E-02, .1397170663788553E-01)
      alpha(25)=(-.1436234309979386E-01,-.4057035360912333E-01)
      alpha(26)=(-.1436234309979386E-01, .4057035360912333E-01)
      alpha(27)=(.5115479570066042E-02,-.1052205533094523E+00)
      alpha(28)=(.5115479570066042E-02, .1052205533094523E+00)
      alpha(29)=(.1353590959088723E+00,-.1619011637672531E+00)
      alpha(30)=(.1353590959088723E+00, .1619011637672531E+00)
      alpha(31)=(.2773935622389255E+00, .0000000000000000E+00)
c
      beta(1)=(-.2295682215845089E-04, .9999999803841022E+00)
      beta(2)=(-.2295682215845089E-04,-.9999999803841022E+00)
      beta(3)=(-.1023267035480556E-03, .9999999247031288E+00)
      beta(4)=(-.1023267035480556E-03,-.9999999247031288E+00)
      beta(5)=(-.2744661422580783E-03, .9999998277644731E+00)
      beta(6)=(-.2744661422580783E-03,-.9999998277644731E+00)
      beta(7)=(-.6185331183100160E-03, .9999993934564934E+00)
      beta(8)=(-.6185331183100160E-03,-.9999993934564934E+00)
      beta(9)=(-.1293014263135570E-02, .9999973246515538E+00)
      beta(10)=(-.1293014263135570E-02,-.9999973246515538E+00)
      beta(11)=(-.2607493030160015E-02, .9999910719461364E+00)
      beta(12)=(-.2607493030160015E-02,-.9999910719461364E+00)
      beta(13)=(-.5163854131302370E-02, .9999735586993596E+00)
      beta(14)=(-.5163854131302370E-02,-.9999735586993596E+00)
      beta(15)=(-.1013381010454508E-01, .9999195856921692E+00)
      beta(16)=(-.1013381010454508E-01,-.9999195856921692E+00)
      beta(17)=(-.1979469547015627E-01, .9997465694790964E+00)
      beta(18)=(-.1979469547015627E-01,-.9997465694790964E+00)
      beta(19)=(-.3855416231134041E-01, .9991412761425118E+00)
      beta(20)=(-.3855416231134041E-01,-.9991412761425118E+00)
      beta(21)=(-.7487966608350244E-01, .9968954030259501E+00)
      beta(22)=(-.7487966608350244E-01,-.9968954030259501E+00)
      beta(23)=(-.1446954921242388E+00, .9885229324572602E+00)
      beta(24)=(-.1446954921242388E+00,-.9885229324572602E+00)
      beta(25)=(-.2757301824230285E+00, .9580367554955076E+00)
      beta(26)=(-.2757301824230285E+00,-.9580367554955076E+00)
      beta(27)=(-.5026369164103634E+00, .8538756767749224E+00)
      beta(28)=(-.5026369164103634E+00,-.8538756767749224E+00)
      beta(29)=(-.8041374504940593E+00, .5573022536695248E+00)
      beta(30)=(-.8041374504940593E+00,-.5573022536695248E+00)
      beta(31)=(-.9694745780110367E+00, .0000000000000000E+00)