 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   1


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.10000000E+01 0.10000000E+01 .107E-06 .716E-09 .689E-08 .107E-06 .716E-09  25    0
  1.5 0.10000000E+01 0.10000000E+01 .108E-06 .213E-09 .811E-08 .108E-06 .213E-09  25    0
  2.0 0.10000000E+01 0.10000000E+01 .107E-06 .716E-09 .689E-08 .107E-06 .716E-09  25    0
  2.5 0.10000000E+01 0.10000000E+01 .108E-06 .642E-09 .828E-08 .108E-06 .642E-09  25    0
  3.0 0.10000000E+01 0.10000000E+01 .108E-06 .213E-09 .811E-08 .108E-06 .213E-09  25    0
  3.5 0.10000000E+01 0.10000000E+01 .109E-06 .663E-09 .863E-08 .109E-06 .663E-09  25    0
  4.0 0.10000000E+01 0.10000000E+01 .107E-06 .716E-09 .689E-08 .107E-06 .716E-09  25    0
  4.5 0.10000000E+01 0.10000000E+01 .108E-06 .671E-09 .784E-08 .108E-06 .671E-09  25    0
  5.0 0.10000000E+01 0.10000000E+01 .108E-06 .642E-09 .828E-08 .108E-06 .642E-09  25    0
  5.5 0.10000000E+01 0.10000000E+01 .107E-06 .684E-09 .732E-08 .107E-06 .684E-09  25    0
  6.0 0.10000000E+01 0.10000000E+01 .108E-06 .213E-09 .811E-08 .108E-06 .213E-09  25    0
  6.5 0.10000000E+01 0.10000000E+01 .108E-06 .668E-09 .763E-08 .108E-06 .668E-09  25    0
  7.0 0.10000000E+01 0.10000000E+01 .109E-06 .663E-09 .863E-08 .109E-06 .663E-09  25    0
  7.5 0.10000000E+01 0.10000000E+01 .107E-06 .910E-09 .716E-08 .107E-06 .910E-09  25    0
  8.0 0.10000000E+01 0.10000000E+01 .107E-06 .716E-09 .689E-08 .107E-06 .716E-09  25    0
  8.5 0.10000000E+01 0.10000000E+01 .107E-06 .630E-09 .743E-08 .107E-06 .630E-09  25    0
  9.0 0.10000000E+01 0.10000000E+01 .108E-06 .671E-09 .784E-08 .108E-06 .671E-09  25    0
  9.5 0.10000000E+01 0.10000000E+01 .107E-06 .633E-09 .726E-08 .107E-06 .633E-09  25    0
 10.0 0.10000000E+01 0.10000000E+01 .108E-06 .642E-09 .828E-08 .108E-06 .642E-09  25    0
 10.5 0.10000000E+01 0.10000000E+01 .108E-06 .210E-09 .821E-08 .108E-06 .210E-09  25    0
 11.0 0.10000000E+01 0.10000000E+01 .107E-06 .684E-09 .732E-08 .107E-06 .684E-09  25    0
 11.5 0.10000000E+01 0.10000000E+01 .107E-06 .670E-09 .747E-08 .107E-06 .670E-09  25    0
 12.0 0.10000000E+01 0.10000000E+01 .108E-06 .213E-09 .811E-08 .108E-06 .213E-09  25    0
 12.5 0.10000000E+01 0.10000000E+01 .108E-06 .565E-09 .792E-08 .108E-06 .565E-09  25    0
 13.0 0.10000000E+01 0.10000000E+01 .108E-06 .668E-09 .763E-08 .108E-06 .668E-09  25    0
 13.5 0.10000000E+01 0.10000000E+01 .110E-06 .672E-09 .989E-08 .110E-06 .672E-09  25    0
 14.0 0.10000000E+01 0.10000000E+01 .109E-06 .663E-09 .863E-08 .109E-06 .663E-09  25    0
 14.5 0.10000000E+01 0.10000000E+01 .107E-06 .618E-09 .736E-08 .107E-06 .618E-09  25    0
 15.0 0.10000000E+01 0.10000000E+01 .107E-06 .910E-09 .716E-08 .107E-06 .910E-09  25    0
 15.5 0.10000000E+01 0.10000000E+01 .109E-06 .268E-09 .876E-08 .109E-06 .268E-09  25    0
 16.0 0.10000000E+01 0.10000000E+01 .107E-06 .716E-09 .689E-08 .107E-06 .716E-09  25    0
 16.5 0.10000000E+01 0.10000000E+01 .108E-06 .382E-09 .847E-08 .108E-06 .382E-09  25    0
 17.0 0.10000000E+01 0.10000000E+01 .107E-06 .630E-09 .743E-08 .107E-06 .630E-09  25    0
 17.5 0.10000000E+01 0.10000000E+01 .110E-06 .500E-09 .977E-08 .110E-06 .500E-09  25    0
 18.0 0.10000000E+01 0.10000000E+01 .108E-06 .671E-09 .784E-08 .108E-06 .671E-09  25    0
 18.5 0.10000000E+01 0.10000000E+01 .108E-06 .528E-09 .820E-08 .108E-06 .528E-09  25    0
 19.0 0.10000000E+01 0.10000000E+01 .107E-06 .633E-09 .726E-08 .107E-06 .633E-09  25    0
 19.5 0.10000000E+01 0.10000000E+01 .108E-06 .743E-09 .780E-08 .108E-06 .743E-09  25    0
 20.0 0.10000000E+01 0.10000000E+01 .108E-06 .642E-09 .828E-08 .108E-06 .642E-09  25    0
 30.0 0.10000000E+01 0.10000000E+01 .107E-06 .910E-09 .716E-08 .107E-06 .910E-09  25    0
 35.0 0.10000000E+01 0.10000000E+01 .110E-06 .500E-09 .977E-08 .110E-06 .500E-09  25    0
 40.0 0.10000000E+01 0.10000000E+01 .108E-06 .642E-09 .828E-08 .108E-06 .642E-09  25    0
 45.0 0.10000000E+01 0.10000000E+01 .107E-06 .436E-09 .750E-08 .107E-06 .436E-09  25    0
 50.0 0.10000000E+01 0.10000000E+01 .108E-06 .565E-09 .792E-08 .108E-06 .565E-09  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   2


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.35663584E+00 0.35663583E+00 .201E-06 .240E-07 .101E-06 .718E-07 .854E-08  27    0
  1.5 0.23858132E+00 0.23858132E+00 .122E-06 .374E-08 .225E-07 .292E-07 .892E-09  27    0
  2.0 0.17247566E+00 0.17247566E+00 .167E-06 .121E-07 .667E-07 .288E-07 .209E-08  27    0
  2.5 0.13101394E+00 0.13101394E+00 .123E-06 .140E-09 .225E-07 .161E-07 .184E-10  29    0
  3.0 0.10317254E+00 0.10317254E+00 .151E-06 .202E-08 .509E-07 .156E-07 .208E-09  25    0
  3.5 0.83561523E-01 0.83561523E-01 .104E-06 .885E-08 .352E-08 .865E-08 .740E-09  27    0
  4.0 0.69232010E-01 0.69232011E-01 .160E-06 .239E-07 .600E-07 .111E-07 .165E-08  25    0
  4.5 0.58445991E-01 0.58445990E-01 .104E-06 .110E-07 .426E-08 .609E-08 .640E-09  27    0
  5.0 0.50122634E-01 0.50122636E-01 .214E-06 .435E-07 .114E-06 .107E-07 .218E-08  25    0
  5.5 0.43561470E-01 0.43561470E-01 .231E-06 .147E-07 .131E-06 .101E-07 .639E-09  27    0
  6.0 0.38293085E-01 0.38293084E-01 .140E-06 .197E-07 .397E-07 .535E-08 .756E-09  25    0
  6.5 0.33993947E-01 0.33993948E-01 .160E-06 .141E-07 .602E-07 .545E-08 .478E-09  27    0
  7.0 0.30435595E-01 0.30435595E-01 .160E-06 .245E-08 .601E-07 .487E-08 .745E-10  27    0
  7.5 0.27453195E-01 0.27453195E-01 .174E-06 .639E-08 .741E-07 .478E-08 .175E-09  27    0
  8.0 0.24925528E-01 0.24925528E-01 .113E-06 .303E-08 .134E-07 .283E-08 .756E-10  31    0
  8.5 0.22761889E-01 0.22761889E-01 .230E-06 .660E-08 .130E-06 .524E-08 .150E-09  25    0
  9.0 0.20893332E-01 0.20893332E-01 .108E-06 .247E-07 .849E-08 .227E-08 .516E-09  25    0
  9.5 0.19266692E-01 0.19266692E-01 .144E-06 .635E-08 .442E-07 .278E-08 .122E-09  27    0
 10.0 0.17840431E-01 0.17840431E-01 .129E-06 .109E-08 .293E-07 .231E-08 .195E-10  27    0
 10.5 0.16581704E-01 0.16581704E-01 .141E-06 .295E-09 .415E-07 .235E-08 .489E-11  27    0
 11.0 0.15464249E-01 0.15464247E-01 .206E-06 .141E-06 .106E-06 .319E-08 .218E-08  25    0
 11.5 0.14466848E-01 0.14466848E-01 .137E-06 .155E-08 .367E-07 .198E-08 .224E-10  27    0
 12.0 0.13572209E-01 0.13572209E-01 .122E-06 .506E-08 .216E-07 .165E-08 .687E-10  27    0
 12.5 0.12766105E-01 0.12766105E-01 .160E-06 .101E-07 .596E-07 .204E-08 .129E-09  27    0
 13.0 0.12036745E-01 0.12036745E-01 .163E-06 .807E-08 .630E-07 .196E-08 .971E-10  27    0
 13.5 0.11374277E-01 0.11374277E-01 .136E-06 .405E-08 .364E-07 .155E-08 .461E-10  27    0
 14.0 0.10770420E-01 0.10770420E-01 .165E-06 .300E-08 .646E-07 .177E-08 .323E-10  27    0
 14.5 0.10218164E-01 0.10218163E-01 .136E-06 .248E-07 .359E-07 .139E-08 .253E-09  25    0
 15.0 0.97115386E-02 0.97115386E-02 .151E-06 .155E-08 .508E-07 .146E-08 .151E-10  27    0
 15.5 0.92454371E-02 0.92454368E-02 .104E-06 .249E-07 .355E-08 .957E-09 .230E-09  27    0
 16.0 0.88154614E-02 0.88154613E-02 .191E-06 .181E-07 .913E-07 .169E-08 .160E-09  25    0
 16.5 0.84178099E-02 0.84178100E-02 .157E-06 .352E-08 .567E-07 .132E-08 .296E-10  27    0
 17.0 0.80491804E-02 0.80491804E-02 .132E-06 .877E-08 .319E-07 .106E-08 .706E-10  27    0
 17.5 0.77066916E-02 0.77066916E-02 .248E-06 .412E-08 .148E-06 .191E-08 .318E-10  27    0
 18.0 0.73878199E-02 0.73878199E-02 .168E-06 .407E-08 .676E-07 .124E-08 .301E-10  27    0
 18.5 0.70903466E-02 0.70903466E-02 .161E-06 .386E-08 .612E-07 .114E-08 .274E-10  27    0
 19.0 0.68123138E-02 0.68123140E-02 .173E-06 .299E-07 .734E-07 .118E-08 .203E-09  25    0
 19.5 0.65519888E-02 0.65519888E-02 .133E-06 .893E-08 .335E-07 .874E-09 .585E-10  27    0
 20.0 0.63078313E-02 0.63078313E-02 .181E-06 .547E-08 .807E-07 .114E-08 .345E-10  27    0
 30.0 0.34335485E-02 0.34335485E-02 .167E-06 .621E-08 .666E-07 .572E-09 .213E-10  27    0
 35.0 0.27247270E-02 0.27247270E-02 .133E-06 .335E-08 .330E-07 .362E-09 .913E-11  27    0
 40.0 0.22301551E-02 0.22301551E-02 .134E-06 .791E-08 .341E-07 .299E-09 .176E-10  27    0
 45.0 0.18689871E-02 0.18689871E-02 .227E-06 .162E-08 .127E-06 .425E-09 .303E-11  27    0
 50.0 0.15957691E-02 0.15957691E-02 .216E-06 .130E-07 .116E-06 .345E-09 .208E-10  27    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   3


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.56418958E+00 0.56418958E+00 .129E-06 .442E-09 .288E-07 .727E-07 .250E-09  25    0
  1.5 0.46065887E+00 0.46065887E+00 .128E-06 .836E-09 .285E-07 .592E-07 .385E-09  25    0
  2.0 0.39894228E+00 0.39894228E+00 .136E-06 .179E-08 .364E-07 .544E-07 .715E-09  25    0
  2.5 0.35682482E+00 0.35682482E+00 .130E-06 .463E-09 .298E-07 .463E-07 .165E-09  25    0
  3.0 0.32573501E+00 0.32573501E+00 .149E-06 .795E-10 .493E-07 .486E-07 .259E-10  25    0
  3.5 0.30157202E+00 0.30157202E+00 .131E-06 .117E-09 .312E-07 .396E-07 .353E-10  25    0
  4.0 0.28209479E+00 0.28209479E+00 .129E-06 .442E-09 .288E-07 .363E-07 .125E-09  25    0
  4.5 0.26596152E+00 0.26596152E+00 .125E-06 .232E-08 .255E-07 .334E-07 .618E-09  25    0
  5.0 0.25231325E+00 0.25231325E+00 .130E-06 .193E-08 .303E-07 .329E-07 .486E-09  25    0
  5.5 0.24057125E+00 0.24057125E+00 .134E-06 .422E-09 .339E-07 .322E-07 .102E-09  25    0
  6.0 0.23032943E+00 0.23032943E+00 .128E-06 .836E-09 .285E-07 .296E-07 .193E-09  25    0
  6.5 0.22129336E+00 0.22129336E+00 .143E-06 .978E-09 .427E-07 .316E-07 .216E-09  25    0
  7.0 0.21324362E+00 0.21324362E+00 .144E-06 .687E-09 .442E-07 .308E-07 .146E-09  25    0
  7.5 0.20601291E+00 0.20601291E+00 .101E-06 .131E-09 .111E-08 .208E-07 .269E-10  29    0
  8.0 0.19947114E+00 0.19947114E+00 .136E-06 .179E-08 .364E-07 .272E-07 .357E-09  25    0
  8.5 0.19351543E+00 0.19351543E+00 .138E-06 .116E-08 .380E-07 .267E-07 .225E-09  25    0
  9.0 0.18806319E+00 0.18806319E+00 .126E-06 .293E-09 .258E-07 .236E-07 .552E-10  25    0
  9.5 0.18304727E+00 0.18304727E+00 .127E-06 .144E-08 .270E-07 .232E-07 .263E-09  25    0
 10.0 0.17841241E+00 0.17841241E+00 .130E-06 .463E-09 .298E-07 .232E-07 .826E-10  25    0
 10.5 0.17411269E+00 0.17411269E+00 .138E-06 .341E-09 .376E-07 .240E-07 .593E-10  25    0
 11.0 0.17010956E+00 0.17010956E+00 .131E-06 .165E-09 .311E-07 .223E-07 .280E-10  25    0
 11.5 0.16637043E+00 0.16637043E+00 .126E-06 .239E-09 .259E-07 .209E-07 .398E-10  25    0
 12.0 0.16286750E+00 0.16286750E+00 .149E-06 .795E-10 .493E-07 .243E-07 .130E-10  25    0
 12.5 0.15957691E+00 0.15957691E+00 .137E-06 .105E-08 .375E-07 .219E-07 .168E-09  25    0
 13.0 0.15647804E+00 0.15647804E+00 .159E-06 .687E-09 .593E-07 .249E-07 .107E-09  25    0
 13.5 0.15355296E+00 0.15355296E+00 .147E-06 .321E-08 .474E-07 .226E-07 .492E-09  25    0
 14.0 0.15078601E+00 0.15078601E+00 .128E-06 .653E-09 .282E-07 .193E-07 .984E-10  25    0
 14.5 0.14816344E+00 0.14816344E+00 .140E-06 .291E-10 .396E-07 .207E-07 .431E-11  25    0
 15.0 0.14567312E+00 0.14567312E+00 .130E-06 .191E-08 .297E-07 .189E-07 .279E-09  25    0
 15.5 0.14330430E+00 0.14330430E+00 .134E-06 .147E-08 .335E-07 .191E-07 .210E-09  25    0
 16.0 0.14104740E+00 0.14104740E+00 .165E-06 .236E-09 .649E-07 .233E-07 .332E-10  25    0
 16.5 0.13889387E+00 0.13889387E+00 .140E-06 .337E-09 .405E-07 .195E-07 .469E-10  25    0
 17.0 0.13683607E+00 0.13683607E+00 .141E-06 .769E-08 .414E-07 .194E-07 .105E-08  25    0
 17.5 0.13486711E+00 0.13486711E+00 .135E-06 .144E-09 .349E-07 .182E-07 .194E-10  25    0
 18.0 0.13298076E+00 0.13298076E+00 .141E-06 .565E-09 .411E-07 .188E-07 .751E-10  25    0
 18.5 0.13117141E+00 0.13117141E+00 .127E-06 .348E-09 .268E-07 .166E-07 .456E-10  25    0
 19.0 0.12943397E+00 0.12943397E+00 .136E-06 .829E-09 .364E-07 .177E-07 .107E-09  25    0
 19.5 0.12776378E+00 0.12776378E+00 .207E-06 .186E-10 .107E-06 .265E-07 .238E-11  25    0
 20.0 0.12615663E+00 0.12615663E+00 .128E-06 .443E-09 .281E-07 .162E-07 .558E-10  25    0
 30.0 0.10300645E+00 0.10300645E+00 .136E-06 .184E-08 .361E-07 .140E-07 .189E-09  25    0
 35.0 0.95365445E-01 0.95365445E-01 .136E-06 .931E-09 .362E-07 .130E-07 .888E-10  25    0
 40.0 0.89206206E-01 0.89206206E-01 .142E-06 .911E-09 .423E-07 .127E-07 .812E-10  25    0
 45.0 0.84104417E-01 0.84104417E-01 .134E-06 .512E-08 .344E-07 .113E-07 .431E-09  25    0
 50.0 0.79788456E-01 0.79788456E-01 .137E-06 .105E-08 .375E-07 .110E-07 .840E-10  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   4


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.54030231E+00 0.54030231E+00 .141E-06 .897E-10 .410E-07 .762E-07 .485E-10  25    0
  1.5 0.10610580E+00 0.10610580E+00 .122E-06 .104E-08 .216E-07 .129E-07 .111E-09  27    0
  2.0 -.83229367E+00 -.83229367E+00 .105E-06 .899E-10 .483E-08 .873E-07 .748E-10  27    0
  2.5 -.20028590E+01 -.20028590E+01 .104E-06 .133E-09 .357E-08 .207E-06 .266E-09  27    0
  3.0 -.29699775E+01 -.29699775E+01 .104E-06 .186E-09 .384E-08 .308E-06 .553E-09  27    0
  3.5 -.32775984E+01 -.32775984E+01 .105E-06 .188E-09 .490E-08 .344E-06 .615E-09  27    0
  4.0 -.26145745E+01 -.26145745E+01 .108E-06 .319E-10 .823E-08 .283E-06 .834E-10  27    0
  4.5 -.94858110E+00 -.94858110E+00 .118E-06 .116E-09 .182E-07 .112E-06 .110E-09  27    0
  5.0 0.14183109E+01 0.14183109E+01 .135E-06 .456E-09 .349E-07 .191E-06 .647E-09  27    0
  5.5 0.38976838E+01 0.38976838E+01 .152E-06 .648E-09 .518E-07 .592E-06 .253E-08  27    0
  6.0 0.57610217E+01 0.57610217E+01 .203E-06 .128E-08 .103E-06 .117E-05 .739E-08  27    0
  6.5 0.63478196E+01 0.63478196E+01 .125E-06 .937E-10 .254E-07 .796E-06 .595E-09  29    0
  7.0 0.52773158E+01 0.52773158E+01 .162E-06 .195E-09 .620E-07 .855E-06 .103E-08  29    0
  7.5 0.25997649E+01 0.25997649E+01 .113E-06 .898E-10 .132E-07 .294E-06 .233E-09  31    0
  8.0 -.11640003E+01 -.11640003E+01 .153E-06 .314E-09 .532E-07 .178E-06 .365E-09  31    0
  8.5 -.51171012E+01 -.51171012E+01 .125E-06 .536E-09 .246E-07 .638E-06 .274E-08  31    0
  9.0 -.82001724E+01 -.82001724E+01 .128E-06 .499E-09 .283E-07 .105E-05 .409E-08  31    0
  9.5 -.94731355E+01 -.94731355E+01 .137E-06 .321E-09 .366E-07 .129E-05 .304E-08  31    0
 10.0 -.83907153E+01 -.83907153E+01 .162E-06 .825E-09 .621E-07 .136E-05 .693E-08  31    0
 10.5 -.49931377E+01 -.49931377E+01 .105E-06 .138E-08 .487E-08 .524E-06 .688E-08  33    0
 11.0 0.48682678E-01 0.48682678E-01 .118E-06 .147E-08 .180E-07 .575E-08 .717E-10  39    0
 11.5 0.55580047E+01 0.55580047E+01 .165E-06 .202E-08 .654E-07 .919E-06 .112E-07  33    0
 12.0 0.10126247E+02 0.10126248E+02 .202E-06 .783E-09 .102E-06 .205E-05 .793E-08  33    0
 12.5 0.12472478E+02 0.12472478E+02 .115E-06 .594E-10 .152E-07 .144E-05 .741E-09  35    0
 13.0 0.11796808E+02 0.11796808E+02 .134E-06 .282E-09 .344E-07 .159E-05 .333E-08  35    0
 13.5 0.80314290E+01 0.80314290E+01 .205E-06 .124E-09 .105E-06 .165E-05 .994E-09  35    0
 14.0 0.19143211E+01 0.19143211E+01 .172E-06 .333E-09 .715E-07 .328E-06 .637E-09  37    0
 14.5 -.51464019E+01 -.51464019E+01 .123E-06 .346E-09 .234E-07 .635E-06 .178E-08  37    0
 15.0 -.11395319E+02 -.11395319E+02 .137E-06 .408E-08 .368E-07 .156E-05 .465E-07  37    0
 15.5 -.15166029E+02 -.15166029E+02 .120E-06 .894E-10 .196E-07 .181E-05 .136E-08  37    0
 16.0 -.15322552E+02 -.15322552E+02 .174E-06 .959E-09 .744E-07 .267E-05 .147E-07  37    0
 16.5 -.11589551E+02 -.11589551E+02 .115E-06 .540E-10 .155E-07 .134E-05 .626E-09  39    0
 17.0 -.46777768E+01 -.46777767E+01 .207E-06 .275E-08 .107E-06 .967E-06 .129E-07  39    0
 17.5 0.38401993E+01 0.38401994E+01 .275E-06 .501E-08 .175E-06 .106E-05 .192E-07  39    0
 18.0 0.11885701E+02 0.11885701E+02 .188E-06 .139E-08 .878E-07 .223E-05 .165E-07  39    0
 18.5 0.17381211E+02 0.17381211E+02 .109E-06 .447E-09 .865E-08 .189E-05 .777E-08  41    0
 19.0 0.18785388E+02 0.18785388E+02 .173E-06 .119E-08 .730E-07 .325E-05 .224E-07  41    0
 19.5 0.15518392E+02 0.15518392E+02 .109E-06 .162E-09 .938E-08 .170E-05 .252E-08  43    0
 20.0 0.81616412E+01 0.81616412E+01 .135E-06 .162E-08 .353E-07 .110E-05 .133E-07  43    0
 30.0 0.46275435E+01 0.46275435E+01 .163E-06 .981E-08 .632E-07 .755E-06 .454E-07  55    0
 35.0 -.31629228E+02 -.31629227E+02 .130E-06 .347E-07 .302E-07 .412E-05 .110E-05  61    0
 40.0 -.26677517E+02 -.26677522E+02 .100E-06 .189E-06 .000E+00 .267E-05 .505E-05  67    0
 45.0 0.23634836E+02 0.23639489E+02 .100E-06 .197E-03 .000E+00 .236E-05 .465E-02  71    0
 50.0 0.48258980E+02 0.48248301E+02 .100E-06 .221E-03 .000E+00 .483E-05 .107E-01  77    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   5


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.36787944E+00 0.36787944E+00 .125E-06 .815E-10 .255E-07 .462E-07 .300E-10  25    0
  1.5 0.33469524E+00 0.33469524E+00 .126E-06 .850E-10 .259E-07 .421E-07 .285E-10  25    0
  2.0 0.27067057E+00 0.27067057E+00 .117E-06 .593E-09 .171E-07 .317E-07 .161E-09  25    0
  2.5 0.20521250E+00 0.20521250E+00 .122E-06 .432E-10 .222E-07 .251E-07 .887E-11  25    0
  3.0 0.14936121E+00 0.14936121E+00 .178E-06 .188E-08 .784E-07 .266E-07 .281E-09  25    0
  3.5 0.10569084E+00 0.10569084E+00 .120E-06 .508E-09 .197E-07 .126E-07 .537E-10  27    0
  4.0 0.73262556E-01 0.73262556E-01 .116E-06 .978E-09 .158E-07 .849E-08 .717E-10  27    0
  4.5 0.49990485E-01 0.49990484E-01 .107E-06 .187E-08 .694E-08 .535E-08 .933E-10  27    0
  5.0 0.33689735E-01 0.33689735E-01 .130E-06 .170E-08 .302E-07 .438E-08 .571E-10  27    0
  5.5 0.22477243E-01 0.22477243E-01 .126E-06 .700E-09 .258E-07 .283E-08 .157E-10  27    0
  6.0 0.14872513E-01 0.14872513E-01 .209E-06 .157E-07 .109E-06 .311E-08 .233E-09  25    0
  6.5 0.97723548E-02 0.97723548E-02 .107E-06 .322E-09 .689E-08 .104E-08 .315E-11  29    0
  7.0 0.63831738E-02 0.63831738E-02 .138E-06 .161E-08 .381E-07 .882E-09 .103E-10  29    0
  7.5 0.41481328E-02 0.41481328E-02 .211E-06 .411E-08 .111E-06 .877E-09 .170E-10  29    0
  8.0 0.26837010E-02 0.26837010E-02 .211E-06 .704E-08 .111E-06 .566E-09 .189E-10  29    0
  8.5 0.17294813E-02 0.17294811E-02 .168E-06 .861E-07 .676E-07 .290E-09 .149E-09  27    0
  9.0 0.11106882E-02 0.11106882E-02 .146E-06 .387E-08 .456E-07 .162E-09 .430E-11  31    0
  9.5 0.71109239E-03 0.71109238E-03 .187E-06 .119E-07 .866E-07 .133E-09 .844E-11  31    0
 10.0 0.45399930E-03 0.45399930E-03 .220E-06 .293E-08 .120E-06 .998E-10 .133E-11  33    0
 10.5 0.28913272E-03 0.28913272E-03 .231E-06 .232E-08 .131E-06 .668E-10 .670E-12  33    0
 11.0 0.18371871E-03 0.18371871E-03 .210E-06 .175E-07 .110E-06 .385E-10 .321E-11  35    0
 11.5 0.11649607E-03 0.11649608E-03 .465E-06 .861E-07 .365E-06 .542E-10 .100E-10  31    0
 12.0 0.73730523E-04 0.73730548E-04 .110E-05 .343E-06 .997E-06 .809E-10 .253E-10  31    0
 12.5 0.46583166E-04 0.46583165E-04 .120E-06 .259E-07 .199E-07 .559E-11 .120E-11  37    0
 13.0 0.29384284E-04 0.29384282E-04 .194E-06 .559E-07 .942E-07 .571E-11 .164E-11  33    0
 13.5 0.18507949E-04 0.18507948E-04 .199E-06 .476E-07 .990E-07 .368E-11 .882E-12  39    0
 14.0 0.11641402E-04 0.11641402E-04 .204E-06 .170E-07 .104E-06 .238E-11 .197E-12  41    0
 14.5 0.73130395E-05 0.73130411E-05 .100E-06 .220E-06 .000E+00 .731E-12 .161E-11  47    0
 15.0 0.45885359E-05 0.45885348E-05 .230E-06 .246E-06 .130E-06 .106E-11 .113E-11  39    0
 15.5 0.28758573E-05 0.28758566E-05 .100E-06 .224E-06 .000E+00 .288E-12 .644E-12  45    0
 16.0 0.18005627E-05 0.18005628E-05 .263E-06 .603E-07 .163E-06 .474E-12 .108E-12  37    0
 16.5 0.11262246E-05 0.11262246E-05 .100E-06 .711E-08 .000E+00 .113E-12 .801E-14  41    0
 17.0 0.70378791E-06 0.70378941E-06 .100E-06 .213E-05 .000E+00 .704E-13 .150E-11  53    0
 17.5 0.43942470E-06 0.43942485E-06 .531E-05 .355E-06 .521E-05 .233E-11 .156E-12  43    0
 18.0 0.27413885E-06 0.27413964E-06 .100E-06 .288E-05 .000E+00 .274E-13 .789E-12  49    0
 18.5 0.17089371E-06 0.17089282E-06 .100E-06 .519E-05 .000E+00 .171E-13 .887E-12  41    0
 19.0 0.10645313E-06 0.10645313E-06 .100E-06 .110E-07 .000E+00 .106E-13 .117E-14  43    0
 19.5 0.66265649E-07 0.66266222E-07 .427E-05 .866E-05 .417E-05 .283E-12 .574E-12  37    0
 20.0 0.41223902E-07 0.41223072E-07 .674E-05 .201E-04 .664E-05 .278E-12 .829E-12  49    0
 30.0 0.29612971E-11 0.28072869E-11 .769E-01 .549E-01 .769E-01 .228E-12 .154E-12  37    0
 35.0 -.12542153E-11 0.22067909E-13 .833E+00 .578E+02 .833E+00 .105E-11 .128E-11  27    0
 40.0 0.11568466E-11 0.16993417E-15 .333E+00 .681E+04 .333E+00 .386E-12 .116E-11  29    0
 45.0 -.21447726E-11 0.12881334E-17 .108E+01 .167E+07 .108E+01 .232E-11 .214E-11  23    0
 50.0 0.00000000E+00 0.96437492E-20 .100E-06 .100E+01 .000E+00 .000E+00 .964E-20  33    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   6


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.10000000E+01 0.10000000E+01 .152E-06 .640E-09 .515E-07 .152E-06 .640E-09  23    0
  1.5 0.15000000E+01 0.15000000E+01 .152E-06 .766E-09 .516E-07 .227E-06 .115E-08  23    0
  2.0 0.20000000E+01 0.20000000E+01 .152E-06 .640E-09 .515E-07 .303E-06 .128E-08  23    0
  2.5 0.25000000E+01 0.25000000E+01 .152E-06 .729E-09 .517E-07 .379E-06 .182E-08  23    0
  3.0 0.30000000E+01 0.30000000E+01 .152E-06 .766E-09 .516E-07 .455E-06 .230E-08  23    0
  3.5 0.35000000E+01 0.35000000E+01 .152E-06 .712E-09 .516E-07 .531E-06 .249E-08  23    0
  4.0 0.40000000E+01 0.40000000E+01 .152E-06 .640E-09 .515E-07 .606E-06 .256E-08  23    0
  4.5 0.45000000E+01 0.45000000E+01 .152E-06 .801E-09 .517E-07 .683E-06 .361E-08  23    0
  5.0 0.50000000E+01 0.50000000E+01 .152E-06 .729E-09 .517E-07 .758E-06 .365E-08  23    0
  5.5 0.55000000E+01 0.55000000E+01 .152E-06 .709E-09 .516E-07 .834E-06 .390E-08  23    0
  6.0 0.60000000E+01 0.60000000E+01 .152E-06 .766E-09 .516E-07 .909E-06 .460E-08  23    0
  6.5 0.65000000E+01 0.65000000E+01 .152E-06 .733E-09 .517E-07 .986E-06 .476E-08  23    0
  7.0 0.70000000E+01 0.70000000E+01 .152E-06 .712E-09 .516E-07 .106E-05 .498E-08  23    0
  7.5 0.75000000E+01 0.75000000E+01 .152E-06 .712E-09 .516E-07 .114E-05 .534E-08  23    0
  8.0 0.80000000E+01 0.80000000E+01 .152E-06 .640E-09 .515E-07 .121E-05 .512E-08  23    0
  8.5 0.85000000E+01 0.85000000E+01 .152E-06 .693E-09 .516E-07 .129E-05 .589E-08  23    0
  9.0 0.90000000E+01 0.90000000E+01 .152E-06 .801E-09 .517E-07 .137E-05 .721E-08  23    0
  9.5 0.95000000E+01 0.95000000E+01 .152E-06 .741E-09 .516E-07 .144E-05 .704E-08  23    0
 10.0 0.10000000E+02 0.10000000E+02 .152E-06 .729E-09 .517E-07 .152E-05 .729E-08  23    0
 10.5 0.10500000E+02 0.10500000E+02 .152E-06 .728E-09 .517E-07 .159E-05 .764E-08  23    0
 11.0 0.11000000E+02 0.11000000E+02 .152E-06 .709E-09 .516E-07 .167E-05 .780E-08  23    0
 11.5 0.11500000E+02 0.11500000E+02 .152E-06 .758E-09 .517E-07 .174E-05 .872E-08  23    0
 12.0 0.12000000E+02 0.12000000E+02 .152E-06 .766E-09 .516E-07 .182E-05 .919E-08  23    0
 12.5 0.12500000E+02 0.12500000E+02 .152E-06 .750E-09 .516E-07 .190E-05 .938E-08  23    0
 13.0 0.13000000E+02 0.13000000E+02 .152E-06 .733E-09 .517E-07 .197E-05 .952E-08  23    0
 13.5 0.13500000E+02 0.13500000E+02 .152E-06 .776E-09 .517E-07 .205E-05 .105E-07  23    0
 14.0 0.14000000E+02 0.14000000E+02 .152E-06 .712E-09 .516E-07 .212E-05 .997E-08  23    0
 14.5 0.14500000E+02 0.14500000E+02 .152E-06 .728E-09 .516E-07 .220E-05 .106E-07  23    0
 15.0 0.15000000E+02 0.15000000E+02 .152E-06 .712E-09 .516E-07 .227E-05 .107E-07  23    0
 15.5 0.15500000E+02 0.15500000E+02 .152E-06 .744E-09 .516E-07 .235E-05 .115E-07  23    0
 16.0 0.16000000E+02 0.16000000E+02 .152E-06 .640E-09 .515E-07 .242E-05 .102E-07  23    0
 16.5 0.16500000E+02 0.16500000E+02 .152E-06 .777E-09 .517E-07 .250E-05 .128E-07  23    0
 17.0 0.17000000E+02 0.17000000E+02 .152E-06 .693E-09 .516E-07 .258E-05 .118E-07  23    0
 17.5 0.17500000E+02 0.17500000E+02 .152E-06 .745E-09 .516E-07 .265E-05 .130E-07  23    0
 18.0 0.18000000E+02 0.18000000E+02 .152E-06 .801E-09 .517E-07 .273E-05 .144E-07  23    0
 18.5 0.18500000E+02 0.18500000E+02 .152E-06 .709E-09 .516E-07 .280E-05 .131E-07  23    0
 19.0 0.19000000E+02 0.19000000E+02 .152E-06 .741E-09 .516E-07 .288E-05 .141E-07  23    0
 19.5 0.19500000E+02 0.19500000E+02 .152E-06 .679E-09 .515E-07 .295E-05 .132E-07  23    0
 20.0 0.20000000E+02 0.20000000E+02 .152E-06 .729E-09 .517E-07 .303E-05 .146E-07  23    0
 30.0 0.30000000E+02 0.30000000E+02 .152E-06 .712E-09 .516E-07 .455E-05 .214E-07  23    0
 35.0 0.35000000E+02 0.35000000E+02 .152E-06 .745E-09 .516E-07 .531E-05 .261E-07  23    0
 40.0 0.40000000E+02 0.40000000E+02 .152E-06 .729E-09 .517E-07 .607E-05 .292E-07  23    0
 45.0 0.45000000E+02 0.45000000E+02 .152E-06 .714E-09 .516E-07 .682E-05 .321E-07  23    0
 50.0 0.50000000E+02 0.50000000E+02 .152E-06 .750E-09 .516E-07 .758E-05 .375E-07  23    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   7


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.84147098E+00 0.84147098E+00 .214E-06 .886E-09 .114E-06 .180E-06 .746E-09  23    0
  1.5 0.99749499E+00 0.99749499E+00 .129E-06 .113E-09 .294E-07 .129E-06 .112E-09  25    0
  2.0 0.90929743E+00 0.90929743E+00 .157E-06 .225E-09 .570E-07 .143E-06 .205E-09  25    0
  2.5 0.59847214E+00 0.59847214E+00 .106E-06 .163E-09 .593E-08 .634E-07 .975E-10  27    0
  3.0 0.14112001E+00 0.14112001E+00 .127E-06 .252E-08 .273E-07 .180E-07 .355E-09  27    0
  3.5 -.35078323E+00 -.35078323E+00 .116E-06 .617E-09 .159E-07 .407E-07 .217E-09  27    0
  4.0 -.75680250E+00 -.75680250E+00 .107E-06 .124E-09 .670E-08 .808E-07 .935E-10  27    0
  4.5 -.97753012E+00 -.97753012E+00 .103E-06 .200E-08 .292E-08 .101E-06 .195E-08  27    0
  5.0 -.95892428E+00 -.95892427E+00 .122E-06 .495E-09 .219E-07 .117E-06 .475E-09  27    0
  5.5 -.70554033E+00 -.70554033E+00 .187E-06 .719E-09 .869E-07 .132E-06 .507E-09  27    0
  6.0 -.27941550E+00 -.27941550E+00 .172E-06 .162E-09 .717E-07 .480E-07 .452E-10  29    0
  6.5 0.21511999E+00 0.21511999E+00 .105E-06 .748E-10 .512E-08 .226E-07 .161E-10  31    0
  7.0 0.65698660E+00 0.65698660E+00 .196E-06 .345E-09 .964E-07 .129E-06 .227E-09  29    0
  7.5 0.93799998E+00 0.93799998E+00 .105E-06 .187E-09 .517E-08 .987E-07 .176E-09  31    0
  8.0 0.98935825E+00 0.98935825E+00 .110E-06 .244E-09 .101E-07 .109E-06 .241E-09  31    0
  8.5 0.79848711E+00 0.79848711E+00 .126E-06 .539E-09 .257E-07 .100E-06 .431E-09  31    0
  9.0 0.41211849E+00 0.41211849E+00 .195E-06 .208E-08 .953E-07 .805E-07 .859E-09  31    0
  9.5 -.75151120E-01 -.75151120E-01 .128E-06 .880E-09 .278E-07 .961E-08 .661E-10  35    0
 10.0 -.54402111E+00 -.54402111E+00 .132E-06 .310E-08 .323E-07 .720E-07 .168E-08  31    0
 10.5 -.87969575E+00 -.87969576E+00 .130E-06 .682E-08 .304E-07 .115E-06 .600E-08  31    0
 11.0 -.99999021E+00 -.99999021E+00 .118E-06 .297E-10 .178E-07 .118E-06 .297E-10  33    0
 11.5 -.87545217E+00 -.87545217E+00 .210E-06 .336E-10 .110E-06 .184E-06 .294E-10  33    0
 12.0 -.53657292E+00 -.53657292E+00 .101E-06 .829E-10 .875E-09 .541E-07 .445E-10  37    0
 12.5 -.66321897E-01 -.66321897E-01 .114E-06 .839E-09 .135E-07 .753E-08 .556E-10  37    0
 13.0 0.42016704E+00 0.42016704E+00 .196E-06 .158E-08 .961E-07 .824E-07 .662E-09  35    0
 13.5 0.80378443E+00 0.80378443E+00 .119E-06 .264E-08 .186E-07 .953E-07 .212E-08  35    0
 14.0 0.99060735E+00 0.99060736E+00 .151E-06 .121E-08 .508E-07 .149E-06 .120E-08  35    0
 14.5 0.93489506E+00 0.93489506E+00 .144E-06 .906E-09 .437E-07 .134E-06 .847E-09  37    0
 15.0 0.65028784E+00 0.65028784E+00 .141E-06 .621E-08 .406E-07 .915E-07 .404E-08  37    0
 15.5 0.20646748E+00 0.20646748E+00 .190E-06 .152E-08 .896E-07 .391E-07 .313E-09  39    0
 16.0 -.28790332E+00 -.28790332E+00 .104E-06 .882E-11 .357E-08 .298E-07 .254E-11  43    0
 16.5 -.71178534E+00 -.71178534E+00 .103E-06 .192E-09 .304E-08 .733E-07 .137E-09  41    0
 17.0 -.96139749E+00 -.96139749E+00 .109E-06 .516E-09 .857E-08 .104E-06 .496E-09  41    0
 17.5 -.97562601E+00 -.97562601E+00 .108E-06 .421E-09 .849E-08 .106E-06 .411E-09  41    0
 18.0 -.75098725E+00 -.75098725E+00 .179E-06 .185E-08 .788E-07 .134E-06 .139E-08  41    0
 18.5 -.34248062E+00 -.34248062E+00 .148E-06 .243E-08 .481E-07 .507E-07 .831E-09  41    0
 19.0 0.14987721E+00 0.14987721E+00 .164E-06 .226E-08 .642E-07 .246E-07 .339E-09  43    0
 19.5 0.60553987E+00 0.60553987E+00 .126E-06 .200E-08 .262E-07 .764E-07 .121E-08  43    0
 20.0 0.91294525E+00 0.91294525E+00 .208E-06 .111E-08 .108E-06 .190E-06 .101E-08  41    0
 30.0 -.98803162E+00 -.98803162E+00 .107E-06 .277E-09 .661E-08 .105E-06 .274E-09  57    0
 35.0 -.42818267E+00 -.42818267E+00 .100E-06 .404E-08 .000E+00 .428E-07 .173E-08  65    0
 40.0 0.74510911E+00 0.74511316E+00 .100E-06 .543E-05 .000E+00 .745E-07 .405E-05  69    0
 45.0 0.85089266E+00 0.85090352E+00 .100E-06 .128E-04 .000E+00 .851E-07 .109E-04  73    0
 50.0 -.26237883E+00 -.26237485E+00 .100E-06 .152E-04 .000E+00 .262E-07 .398E-05  79    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->   8


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.60653066E+00 0.60653066E+00 .110E-06 .395E-09 .105E-07 .670E-07 .240E-09  25    0
  1.5 0.47236655E+00 0.47236655E+00 .125E-06 .925E-09 .250E-07 .590E-07 .437E-09  25    0
  2.0 0.36787944E+00 0.36787944E+00 .136E-06 .529E-09 .361E-07 .501E-07 .194E-09  25    0
  2.5 0.28650480E+00 0.28650480E+00 .167E-06 .321E-09 .671E-07 .479E-07 .921E-10  25    0
  3.0 0.22313016E+00 0.22313016E+00 .211E-06 .613E-08 .111E-06 .470E-07 .137E-08  23    0
  3.5 0.17377394E+00 0.17377394E+00 .117E-06 .948E-09 .173E-07 .204E-07 .165E-09  27    0
  4.0 0.13533528E+00 0.13533528E+00 .116E-06 .381E-09 .161E-07 .157E-07 .516E-10  27    0
  4.5 0.10539922E+00 0.10539922E+00 .104E-06 .127E-08 .388E-08 .109E-07 .133E-09  27    0
  5.0 0.82084998E-01 0.82084999E-01 .119E-06 .248E-08 .193E-07 .980E-08 .203E-09  27    0
  5.5 0.63927861E-01 0.63927861E-01 .115E-06 .611E-09 .148E-07 .734E-08 .391E-10  27    0
  6.0 0.49787068E-01 0.49787068E-01 .128E-06 .351E-09 .277E-07 .636E-08 .175E-10  27    0
  6.5 0.38774208E-01 0.38774208E-01 .161E-06 .421E-08 .606E-07 .623E-08 .163E-09  27    0
  7.0 0.30197383E-01 0.30197383E-01 .142E-06 .287E-08 .417E-07 .428E-08 .866E-10  27    0
  7.5 0.23517746E-01 0.23517746E-01 .106E-06 .783E-11 .633E-08 .250E-08 .184E-12  31    0
  8.0 0.18315639E-01 0.18315639E-01 .193E-06 .736E-08 .934E-07 .354E-08 .135E-09  27    0
  8.5 0.14264234E-01 0.14264234E-01 .185E-06 .118E-07 .850E-07 .264E-08 .168E-09  27    0
  9.0 0.11108997E-01 0.11108997E-01 .119E-06 .168E-08 .195E-07 .133E-08 .187E-10  29    0
  9.5 0.86516952E-02 0.86516952E-02 .113E-06 .544E-08 .127E-07 .975E-09 .470E-10  29    0
 10.0 0.67379470E-02 0.67379470E-02 .133E-06 .306E-08 .328E-07 .895E-09 .206E-10  29    0
 10.5 0.52475185E-02 0.52475184E-02 .164E-06 .194E-07 .644E-07 .863E-09 .102E-09  27    0
 11.0 0.40867713E-02 0.40867714E-02 .213E-06 .323E-07 .113E-06 .869E-09 .132E-09  29    0
 11.5 0.31827809E-02 0.31827808E-02 .154E-06 .344E-07 .538E-07 .489E-09 .109E-09  29    0
 12.0 0.24787523E-02 0.24787522E-02 .143E-06 .449E-07 .429E-07 .354E-09 .111E-09  29    0
 12.5 0.19304541E-02 0.19304541E-02 .182E-06 .169E-07 .819E-07 .351E-09 .326E-10  29    0
 13.0 0.15034392E-02 0.15034392E-02 .113E-06 .108E-07 .133E-07 .170E-09 .162E-10  31    0
 13.5 0.11708796E-02 0.11708796E-02 .129E-06 .143E-07 .287E-07 .151E-09 .167E-10  31    0
 14.0 0.91188197E-03 0.91188197E-03 .165E-06 .506E-08 .654E-07 .151E-09 .462E-11  31    0
 14.5 0.71017438E-03 0.71017439E-03 .284E-06 .159E-07 .184E-06 .202E-09 .113E-10  31    0
 15.0 0.55308437E-03 0.55308437E-03 .179E-06 .717E-08 .794E-07 .992E-10 .396E-11  31    0
 15.5 0.43074254E-03 0.43074254E-03 .148E-06 .112E-07 .478E-07 .637E-10 .481E-11  33    0
 16.0 0.33546263E-03 0.33546263E-03 .110E-06 .404E-08 .101E-07 .369E-10 .136E-11  35    0
 16.5 0.26125853E-03 0.26125856E-03 .187E-06 .973E-07 .868E-07 .488E-10 .254E-10  31    0
 17.0 0.20346837E-03 0.20346837E-03 .139E-06 .623E-08 .388E-07 .282E-10 .127E-11  35    0
 17.5 0.15846132E-03 0.15846133E-03 .170E-06 .125E-07 .696E-07 .269E-10 .198E-11  31    0
 18.0 0.12340981E-03 0.12340980E-03 .204E-06 .126E-07 .104E-06 .251E-10 .156E-11  33    0
 18.5 0.96111655E-04 0.96111652E-04 .159E-06 .310E-07 .591E-07 .153E-10 .298E-11  35    0
 19.0 0.74851840E-04 0.74851830E-04 .175E-06 .132E-06 .749E-07 .131E-10 .986E-11  33    0
 19.5 0.58294664E-04 0.58294664E-04 .121E-06 .375E-08 .211E-07 .706E-11 .218E-12  37    0
 20.0 0.45399935E-04 0.45399930E-04 .153E-06 .126E-06 .534E-07 .697E-11 .573E-11  37    0
 30.0 0.30590293E-06 0.30590232E-06 .269E-04 .200E-05 .268E-04 .822E-11 .612E-12  35    0
 35.0 0.25110147E-07 0.25109992E-07 .100E-06 .618E-05 .000E+00 .251E-14 .155E-12  43    0
 40.0 0.20594638E-08 0.20611536E-08 .194E-03 .820E-03 .194E-03 .399E-12 .169E-11  33    0
 45.0 0.16915085E-09 0.16918979E-09 .217E-02 .230E-03 .217E-02 .368E-12 .389E-13  35    0
 50.0 0.13293768E-10 0.13887944E-10 .100E-06 .428E-01 .208E-14 .133E-17 .594E-12  37    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  10


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.20666985E-01 0.20666985E-01 .109E-06 .383E-10 .940E-08 .226E-08 .791E-12  25    0
  1.5 0.42677557E-01 0.42677557E-01 .114E-06 .327E-10 .137E-07 .485E-08 .139E-11  25    0
  2.0 0.53990966E-01 0.53990967E-01 .101E-06 .260E-09 .140E-08 .547E-08 .140E-10  25    0
  2.5 0.57633351E-01 0.57633351E-01 .120E-06 .239E-09 .196E-07 .690E-08 .138E-10  25    0
  3.0 0.57241877E-01 0.57241877E-01 .122E-06 .283E-09 .218E-07 .697E-08 .162E-10  25    0
  3.5 0.54956168E-01 0.54956168E-01 .117E-06 .160E-08 .175E-07 .646E-08 .882E-10  25    0
  4.0 0.51888437E-01 0.51888437E-01 .106E-06 .933E-09 .577E-08 .549E-08 .484E-10  25    0
  4.5 0.48595578E-01 0.48595578E-01 .114E-06 .177E-10 .137E-07 .552E-08 .861E-12  25    0
  5.0 0.45348661E-01 0.45348661E-01 .208E-06 .438E-08 .108E-06 .945E-08 .199E-09  23    0
  5.5 0.42272749E-01 0.42272749E-01 .179E-06 .416E-08 .788E-07 .756E-08 .176E-09  23    0
  6.0 0.39418358E-01 0.39418358E-01 .136E-06 .128E-08 .360E-07 .536E-08 .506E-10  25    0
  6.5 0.36798226E-01 0.36798226E-01 .138E-06 .480E-10 .376E-07 .506E-08 .177E-11  25    0
  7.0 0.34406439E-01 0.34406439E-01 .140E-06 .829E-10 .396E-07 .480E-08 .285E-11  25    0
  7.5 0.32228452E-01 0.32228452E-01 .142E-06 .110E-08 .421E-07 .458E-08 .355E-10  25    0
  8.0 0.30246341E-01 0.30246341E-01 .141E-06 .803E-09 .411E-07 .427E-08 .243E-10  25    0
  8.5 0.28441520E-01 0.28441520E-01 .142E-06 .121E-08 .422E-07 .404E-08 .345E-10  25    0
  9.0 0.26796096E-01 0.26796096E-01 .134E-06 .392E-08 .335E-07 .358E-08 .105E-09  25    0
  9.5 0.25293493E-01 0.25293493E-01 .139E-06 .186E-08 .386E-07 .351E-08 .471E-10  25    0
 10.0 0.23918683E-01 0.23918683E-01 .144E-06 .626E-09 .443E-07 .345E-08 .150E-10  25    0
 10.5 0.22658210E-01 0.22658210E-01 .137E-06 .727E-09 .372E-07 .311E-08 .165E-10  25    0
 11.0 0.21500114E-01 0.21500114E-01 .128E-06 .943E-09 .277E-07 .275E-08 .203E-10  25    0
 11.5 0.20433810E-01 0.20433810E-01 .121E-06 .252E-08 .211E-07 .248E-08 .514E-10  25    0
 12.0 0.19449944E-01 0.19449944E-01 .117E-06 .161E-08 .167E-07 .227E-08 .313E-10  25    0
 12.5 0.18540259E-01 0.18540259E-01 .134E-06 .130E-08 .338E-07 .248E-08 .241E-10  25    0
 13.0 0.17697461E-01 0.17697461E-01 .148E-06 .123E-08 .484E-07 .263E-08 .218E-10  25    0
 13.5 0.16915100E-01 0.16915100E-01 .124E-06 .703E-09 .240E-07 .210E-08 .119E-10  25    0
 14.0 0.16187466E-01 0.16187466E-01 .140E-06 .458E-09 .402E-07 .227E-08 .741E-11  25    0
 14.5 0.15509496E-01 0.15509496E-01 .107E-06 .181E-08 .732E-08 .166E-08 .281E-10  25    0
 15.0 0.14876690E-01 0.14876690E-01 .123E-06 .141E-08 .225E-07 .182E-08 .210E-10  25    0
 15.5 0.14285042E-01 0.14285042E-01 .136E-06 .238E-08 .355E-07 .194E-08 .340E-10  25    0
 16.0 0.13730978E-01 0.13730978E-01 .127E-06 .665E-09 .271E-07 .175E-08 .914E-11  25    0
 16.5 0.13211302E-01 0.13211302E-01 .118E-06 .258E-09 .179E-07 .156E-08 .341E-11  25    0
 17.0 0.12723153E-01 0.12723153E-01 .111E-06 .124E-08 .108E-07 .141E-08 .158E-10  25    0
 17.5 0.12263959E-01 0.12263959E-01 .140E-06 .270E-08 .403E-07 .172E-08 .331E-10  25    0
 18.0 0.11831408E-01 0.11831408E-01 .164E-06 .499E-08 .642E-07 .194E-08 .590E-10  25    0
 18.5 0.11423415E-01 0.11423415E-01 .140E-06 .914E-09 .404E-07 .160E-08 .104E-10  25    0
 19.0 0.11038098E-01 0.11038098E-01 .128E-06 .393E-08 .281E-07 .141E-08 .434E-10  25    0
 19.5 0.10673752E-01 0.10673752E-01 .115E-06 .128E-08 .150E-07 .123E-08 .137E-10  25    0
 20.0 0.10328831E-01 0.10328831E-01 .140E-06 .109E-08 .401E-07 .145E-08 .113E-10  25    0
 30.0 0.60099000E-02 0.60099000E-02 .202E-06 .502E-08 .102E-06 .122E-08 .302E-10  25    0
 35.0 0.48609295E-02 0.48609297E-02 .175E-06 .349E-07 .748E-07 .850E-09 .170E-09  23    0
 40.0 0.40358555E-02 0.40358556E-02 .153E-06 .355E-07 .533E-07 .619E-09 .143E-09  23    0
 45.0 0.34200491E-02 0.34200490E-02 .200E-06 .497E-08 .100E-06 .684E-09 .170E-10  25    0
 50.0 0.29461611E-02 0.29461611E-02 .192E-06 .115E-07 .917E-07 .565E-09 .340E-10  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  11


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.84147099E+00 0.84147098E+00 .119E-06 .110E-08 .192E-07 .100E-06 .928E-09  25    0
  1.5 0.66499666E+00 0.66499666E+00 .139E-06 .225E-08 .393E-07 .926E-07 .150E-08  25    0
  2.0 0.45464871E+00 0.45464871E+00 .147E-06 .101E-08 .467E-07 .667E-07 .460E-09  25    0
  2.5 0.23938886E+00 0.23938886E+00 .146E-06 .220E-08 .456E-07 .349E-07 .526E-09  27    0
  3.0 0.47040003E-01 0.47040003E-01 .144E-06 .536E-08 .437E-07 .676E-08 .252E-09  29    0
  3.5 -.10022378E+00 -.10022378E+00 .191E-06 .559E-08 .914E-07 .192E-07 .560E-09  27    0
  4.0 -.18920062E+00 -.18920062E+00 .146E-06 .126E-08 .459E-07 .276E-07 .239E-09  27    0
  4.5 -.21722891E+00 -.21722892E+00 .268E-06 .908E-08 .168E-06 .582E-07 .197E-08  27    0
  5.0 -.19178485E+00 -.19178485E+00 .129E-06 .164E-09 .291E-07 .248E-07 .315E-10  29    0
  5.5 -.12828006E+00 -.12828006E+00 .200E-06 .203E-07 .100E-06 .257E-07 .260E-08  29    0
  6.0 -.46569250E-01 -.46569250E-01 .197E-06 .284E-08 .973E-07 .919E-08 .132E-09  29    0
  6.5 0.33095383E-01 0.33095383E-01 .109E-06 .352E-08 .866E-08 .360E-08 .117E-09  33    0
  7.0 0.93855228E-01 0.93855228E-01 .217E-06 .370E-09 .117E-06 .204E-07 .348E-10  31    0
  7.5 0.12506667E+00 0.12506666E+00 .153E-06 .117E-07 .532E-07 .192E-07 .146E-08  29    0
  8.0 0.12366978E+00 0.12366978E+00 .118E-06 .133E-08 .178E-07 .146E-07 .165E-09  33    0
  8.5 0.93939661E-01 0.93939660E-01 .103E-06 .413E-08 .327E-08 .970E-08 .388E-09  33    0
  9.0 0.45790943E-01 0.45790943E-01 .169E-06 .600E-08 .692E-07 .775E-08 .275E-09  33    0
  9.5 -.79106442E-02 -.79106443E-02 .108E-06 .128E-08 .758E-08 .851E-09 .101E-10  37    0
 10.0 -.54402112E-01 -.54402111E-01 .186E-06 .102E-07 .863E-07 .101E-07 .555E-09  33    0
 10.5 -.83780549E-01 -.83780549E-01 .163E-06 .388E-08 .628E-07 .136E-07 .325E-09  35    0
 11.0 -.90908200E-01 -.90908201E-01 .172E-06 .354E-08 .717E-07 .156E-07 .322E-09  35    0
 11.5 -.76126276E-01 -.76126276E-01 .127E-06 .457E-08 .272E-07 .968E-08 .348E-09  35    0
 12.0 -.44714410E-01 -.44714410E-01 .172E-06 .386E-09 .721E-07 .769E-08 .173E-10  35    0
 12.5 -.53057519E-02 -.53057518E-02 .129E-06 .278E-07 .287E-07 .683E-09 .148E-09  39    0
 13.0 0.32320541E-01 0.32320541E-01 .146E-06 .883E-09 .462E-07 .473E-08 .285E-10  39    0
 13.5 0.59539587E-01 0.59539587E-01 .163E-06 .346E-08 .630E-07 .971E-08 .206E-09  37    0
 14.0 0.70757668E-01 0.70757668E-01 .161E-06 .466E-09 .612E-07 .114E-07 .329E-10  39    0
 14.5 0.64475521E-01 0.64475521E-01 .159E-06 .471E-08 .589E-07 .102E-07 .304E-09  37    0
 15.0 0.43352522E-01 0.43352523E-01 .164E-06 .148E-07 .636E-07 .709E-08 .643E-09  37    0
 15.5 0.13320483E-01 0.13320483E-01 .218E-06 .556E-08 .118E-06 .291E-08 .740E-10  41    0
 16.0 -.17993957E-01 -.17993957E-01 .135E-06 .295E-08 .348E-07 .242E-08 .531E-10  43    0
 16.5 -.43138506E-01 -.43138506E-01 .150E-06 .211E-08 .504E-07 .649E-08 .909E-10  41    0
 17.0 -.56552794E-01 -.56552794E-01 .130E-06 .458E-09 .304E-07 .737E-08 .259E-10  43    0
 17.5 -.55750057E-01 -.55750057E-01 .118E-06 .543E-08 .176E-07 .656E-08 .303E-09  43    0
 18.0 -.41721513E-01 -.41721514E-01 .222E-06 .167E-07 .122E-06 .928E-08 .698E-09  41    0
 18.5 -.18512466E-01 -.18512466E-01 .104E-06 .130E-09 .446E-08 .193E-08 .241E-11  47    0
 19.0 0.78882742E-02 0.78882742E-02 .114E-06 .488E-08 .141E-07 .900E-09 .385E-10  47    0
 19.5 0.31053327E-01 0.31053327E-01 .141E-06 .191E-07 .413E-07 .439E-08 .594E-09  43    0
 20.0 0.45647263E-01 0.45647263E-01 .142E-06 .525E-08 .423E-07 .650E-08 .240E-09  45    0
 30.0 -.32934388E-01 -.32934387E-01 .186E-06 .216E-08 .863E-07 .614E-08 .710E-10  59    0
 35.0 -.12233791E-01 -.12233791E-01 .132E-06 .833E-09 .320E-07 .161E-08 .102E-10  65    0
 40.0 0.18627827E-01 0.18627829E-01 .244E-06 .875E-07 .144E-06 .454E-08 .163E-08  71    0
 45.0 0.18909015E-01 0.18908967E-01 .100E-06 .252E-05 .000E+00 .189E-08 .476E-07  79    0
 50.0 -.52473572E-02 -.52474971E-02 .618E-06 .267E-04 .518E-06 .325E-08 .140E-06  83    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  12


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.68893817E+00 0.68893817E+00 .122E-06 .302E-08 .218E-07 .839E-07 .208E-08  25    0
  1.5 0.73896246E+00 0.73896246E+00 .136E-06 .416E-08 .363E-07 .101E-06 .308E-08  25    0
  2.0 0.60952029E+00 0.60952029E+00 .169E-06 .662E-08 .686E-07 .103E-06 .403E-08  25    0
  2.5 0.36299170E+00 0.36299170E+00 .102E-06 .754E-08 .174E-08 .369E-07 .274E-08  27    0
  3.0 0.77448302E-01 0.77448303E-01 .122E-06 .105E-07 .224E-07 .948E-08 .810E-09  27    0
  3.5 -.17419379E+00 -.17419380E+00 .141E-06 .956E-08 .411E-07 .246E-07 .166E-08  27    0
  4.0 -.34005328E+00 -.34005328E+00 .234E-06 .833E-08 .134E-06 .796E-07 .283E-08  25    0
  4.5 -.39743408E+00 -.39743409E+00 .179E-06 .129E-07 .787E-07 .710E-07 .514E-08  27    0
  5.0 -.35276852E+00 -.35276853E+00 .116E-06 .143E-07 .164E-07 .410E-07 .505E-08  29    0
  5.5 -.23485397E+00 -.23485397E+00 .117E-06 .168E-07 .173E-07 .275E-07 .395E-08  29    0
  6.0 -.84158329E-01 -.84158331E-01 .181E-06 .167E-07 .814E-07 .153E-07 .141E-08  29    0
  6.5 0.58627035E-01 0.58627036E-01 .161E-06 .204E-07 .608E-07 .943E-08 .120E-08  31    0
  7.0 0.16201090E+00 0.16201090E+00 .132E-06 .276E-07 .320E-07 .214E-07 .448E-08  29    0
  7.5 0.20929608E+00 0.20929609E+00 .167E-06 .208E-07 .671E-07 .350E-07 .434E-08  31    0
  8.0 0.19974798E+00 0.19974799E+00 .125E-06 .236E-07 .245E-07 .249E-07 .471E-08  31    0
  8.5 0.14587044E+00 0.14587044E+00 .107E-06 .260E-07 .714E-08 .156E-07 .379E-08  33    0
  9.0 0.68122725E-01 0.68122727E-01 .151E-06 .300E-07 .510E-07 .103E-07 .205E-08  33    0
  9.5 -.11240249E-01 -.11240249E-01 .177E-06 .350E-07 .767E-07 .199E-08 .394E-09  35    0
 10.0 -.73625249E-01 -.73625251E-01 .137E-06 .308E-07 .373E-07 .101E-07 .227E-08  35    0
 10.5 -.10772440E+00 -.10772440E+00 .207E-06 .490E-07 .107E-06 .223E-07 .527E-08  33    0
 11.0 -.11080207E+00 -.11080207E+00 .139E-06 .325E-07 .393E-07 .154E-07 .360E-08  35    0
 11.5 -.87771820E-01 -.87771823E-01 .123E-06 .344E-07 .233E-07 .108E-07 .302E-08  35    0
 12.0 -.48676795E-01 -.48676797E-01 .111E-06 .339E-07 .110E-07 .540E-08 .165E-08  37    0
 12.5 -.54440341E-02 -.54440329E-02 .226E-06 .233E-06 .126E-06 .123E-08 .127E-08  35    0
 13.0 0.31207308E-01 0.31207309E-01 .175E-06 .381E-07 .746E-07 .545E-08 .119E-08  37    0
 13.5 0.54018741E-01 0.54018745E-01 .232E-06 .701E-07 .132E-06 .125E-07 .378E-08  37    0
 14.0 0.60238893E-01 0.60238895E-01 .116E-06 .418E-07 .158E-07 .697E-08 .252E-08  41    0
 14.5 0.51440933E-01 0.51440936E-01 .192E-06 .678E-07 .918E-07 .987E-08 .349E-08  35    0
 15.0 0.32375924E-01 0.32375925E-01 .114E-06 .439E-07 .143E-07 .370E-08 .142E-08  43    0
 15.5 0.93011950E-02 0.93011954E-02 .138E-06 .434E-07 .383E-07 .129E-08 .404E-09  43    0
 16.0 -.11735573E-01 -.11735574E-01 .146E-06 .481E-07 .464E-07 .172E-08 .565E-09  43    0
 16.5 -.26252897E-01 -.26252898E-01 .137E-06 .499E-07 .366E-07 .359E-08 .131E-08  43    0
 17.0 -.32084976E-01 -.32084978E-01 .157E-06 .489E-07 .573E-07 .505E-08 .157E-08  43    0
 17.5 -.29461351E-01 -.29461353E-01 .214E-06 .494E-07 .114E-06 .630E-08 .145E-08  43    0
 18.0 -.20519766E-01 -.20519767E-01 .177E-06 .547E-07 .772E-07 .364E-08 .112E-08  45    0
 18.5 -.84673282E-02 -.84673286E-02 .133E-06 .479E-07 .326E-07 .112E-08 .405E-09  47    0
 19.0 0.33528687E-02 0.33528689E-02 .125E-06 .520E-07 .250E-07 .419E-09 .174E-09  49    0
 19.5 0.12257284E-01 0.12257284E-01 .121E-06 .617E-07 .208E-07 .148E-08 .757E-09  47    0
 20.0 0.16721175E-01 0.16721176E-01 .187E-06 .595E-07 .871E-07 .313E-08 .994E-09  47    0
 30.0 -.24490853E-02 -.24490855E-02 .185E-06 .901E-07 .854E-07 .454E-09 .221E-09  63    0
 35.0 -.39045202E-03 -.39045205E-03 .118E-06 .954E-07 .183E-07 .462E-10 .372E-10  73    0
 40.0 0.24995759E-03 0.24995762E-03 .150E-06 .134E-06 .498E-07 .374E-10 .335E-10  77    0
 45.0 0.10500981E-03 0.10500984E-03 .159E-06 .252E-06 .595E-07 .167E-10 .264E-10  81    0
 50.0 -.11911797E-04 -.11911800E-04 .134E-06 .271E-06 .342E-07 .160E-11 .323E-11  99    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  13


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.50000000E+00 0.50000000E+00 .195E-06 .680E-10 .955E-07 .977E-07 .340E-10  23    0
  1.5 0.11250000E+01 0.11250000E+01 .195E-06 .720E-10 .955E-07 .220E-06 .810E-10  23    0
  2.0 0.20000000E+01 0.20000000E+01 .195E-06 .680E-10 .955E-07 .391E-06 .136E-09  23    0
  2.5 0.31250000E+01 0.31250000E+01 .195E-06 .710E-10 .955E-07 .611E-06 .222E-09  23    0
  3.0 0.45000000E+01 0.45000000E+01 .195E-06 .720E-10 .955E-07 .880E-06 .324E-09  23    0
  3.5 0.61250000E+01 0.61250000E+01 .195E-06 .686E-10 .955E-07 .120E-05 .420E-09  23    0
  4.0 0.80000000E+01 0.80000000E+01 .195E-06 .680E-10 .955E-07 .156E-05 .544E-09  23    0
  4.5 0.10125000E+02 0.10125000E+02 .195E-06 .704E-10 .955E-07 .198E-05 .713E-09  23    0
  5.0 0.12500000E+02 0.12500000E+02 .195E-06 .710E-10 .955E-07 .244E-05 .888E-09  23    0
  5.5 0.15125000E+02 0.15125000E+02 .195E-06 .748E-10 .955E-07 .296E-05 .113E-08  23    0
  6.0 0.18000000E+02 0.18000000E+02 .195E-06 .720E-10 .955E-07 .352E-05 .130E-08  23    0
  6.5 0.21125000E+02 0.21125000E+02 .195E-06 .695E-10 .955E-07 .413E-05 .147E-08  23    0
  7.0 0.24500000E+02 0.24500000E+02 .195E-06 .686E-10 .955E-07 .479E-05 .168E-08  23    0
  7.5 0.28125000E+02 0.28125000E+02 .195E-06 .680E-10 .955E-07 .550E-05 .191E-08  23    0
  8.0 0.32000000E+02 0.32000000E+02 .195E-06 .680E-10 .955E-07 .626E-05 .218E-08  23    0
  8.5 0.36125000E+02 0.36125000E+02 .195E-06 .672E-10 .955E-07 .706E-05 .243E-08  23    0
  9.0 0.40500000E+02 0.40500000E+02 .195E-06 .704E-10 .955E-07 .792E-05 .285E-08  23    0
  9.5 0.45125000E+02 0.45125000E+02 .195E-06 .713E-10 .955E-07 .882E-05 .322E-08  23    0
 10.0 0.50000000E+02 0.50000000E+02 .195E-06 .710E-10 .955E-07 .977E-05 .355E-08  23    0
 10.5 0.55125000E+02 0.55125000E+02 .195E-06 .707E-10 .955E-07 .108E-04 .390E-08  23    0
 11.0 0.60500000E+02 0.60500000E+02 .195E-06 .748E-10 .955E-07 .118E-04 .453E-08  23    0
 11.5 0.66125000E+02 0.66125000E+02 .195E-06 .678E-10 .955E-07 .129E-04 .449E-08  23    0
 12.0 0.72000000E+02 0.72000000E+02 .195E-06 .720E-10 .955E-07 .141E-04 .519E-08  23    0
 12.5 0.78125000E+02 0.78125000E+02 .195E-06 .708E-10 .955E-07 .153E-04 .553E-08  23    0
 13.0 0.84500000E+02 0.84500000E+02 .195E-06 .695E-10 .955E-07 .165E-04 .588E-08  23    0
 13.5 0.91125000E+02 0.91125000E+02 .195E-06 .747E-10 .955E-07 .178E-04 .681E-08  23    0
 14.0 0.98000000E+02 0.98000000E+02 .195E-06 .686E-10 .955E-07 .192E-04 .672E-08  23    0
 14.5 0.10512500E+03 0.10512500E+03 .196E-06 .634E-10 .955E-07 .206E-04 .666E-08  23    0
 15.0 0.11250000E+03 0.11250000E+03 .195E-06 .680E-10 .955E-07 .220E-04 .765E-08  23    0
 15.5 0.12012500E+03 0.12012500E+03 .195E-06 .797E-10 .955E-07 .235E-04 .957E-08  23    0
 16.0 0.12800000E+03 0.12800000E+03 .195E-06 .680E-10 .955E-07 .250E-04 .870E-08  23    0
 16.5 0.13612500E+03 0.13612500E+03 .195E-06 .757E-10 .955E-07 .266E-04 .103E-07  23    0
 17.0 0.14450000E+03 0.14450000E+03 .195E-06 .672E-10 .955E-07 .282E-04 .970E-08  23    0
 17.5 0.15312500E+03 0.15312500E+03 .196E-06 .667E-10 .955E-07 .299E-04 .102E-07  23    0
 18.0 0.16200000E+03 0.16200000E+03 .195E-06 .704E-10 .955E-07 .317E-04 .114E-07  23    0
 18.5 0.17112500E+03 0.17112500E+03 .195E-06 .662E-10 .955E-07 .335E-04 .113E-07  23    0
 19.0 0.18050000E+03 0.18050000E+03 .195E-06 .713E-10 .955E-07 .353E-04 .129E-07  23    0
 19.5 0.19012500E+03 0.19012500E+03 .196E-06 .653E-10 .955E-07 .372E-04 .124E-07  23    0
 20.0 0.20000000E+03 0.20000000E+03 .195E-06 .710E-10 .955E-07 .391E-04 .142E-07  23    0
 30.0 0.45000000E+03 0.45000000E+03 .195E-06 .680E-10 .955E-07 .880E-04 .306E-07  23    0
 35.0 0.61250000E+03 0.61250000E+03 .196E-06 .667E-10 .955E-07 .120E-03 .409E-07  23    0
 40.0 0.80000000E+03 0.80000000E+03 .195E-06 .710E-10 .955E-07 .156E-03 .568E-07  23    0
 45.0 0.10125000E+04 0.10125000E+04 .195E-06 .775E-10 .955E-07 .198E-03 .785E-07  23    0
 50.0 0.12500000E+04 0.12500000E+04 .195E-06 .708E-10 .955E-07 .244E-03 .885E-07  23    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  14


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 -.16779778E-17 0.00000000E+00 .670E+03 .168E-17 .670E+03 .112E-14 .168E-17  17    0
  1.5 -.31396748E-15 0.00000000E+00 .257E+01 .314E-15 .257E+01 .808E-15 .314E-15  45    0

 ERROR DETECTED , I =   3 IFAIL= -1
  2.5 0.10000000E+01 0.10000000E+01 .121E-06 .334E-07 .213E-07 .121E-06 .334E-07  41    0
  3.0 0.99999994E+00 0.10000000E+01 .214E-06 .585E-07 .114E-06 .214E-06 .585E-07  29    0
  3.5 0.10000000E+01 0.10000000E+01 .111E-06 .942E-10 .114E-07 .111E-06 .942E-10  33    0
  4.0 0.10000000E+01 0.10000000E+01 .147E-06 .147E-07 .466E-07 .147E-06 .147E-07  27    0
  4.5 0.10000000E+01 0.10000000E+01 .130E-06 .376E-08 .305E-07 .130E-06 .376E-08  27    0
  5.0 0.10000000E+01 0.10000000E+01 .201E-06 .134E-08 .101E-06 .201E-06 .134E-08  27    0
  5.5 0.10000000E+01 0.10000000E+01 .117E-06 .195E-08 .167E-07 .117E-06 .195E-08  27    0
  6.0 0.10000000E+01 0.10000000E+01 .148E-06 .370E-08 .482E-07 .148E-06 .370E-08  25    0
  6.5 0.10000000E+01 0.10000000E+01 .155E-06 .397E-08 .553E-07 .155E-06 .397E-08  25    0
  7.0 0.10000000E+01 0.10000000E+01 .192E-06 .258E-08 .923E-07 .192E-06 .258E-08  25    0
  7.5 0.10000000E+01 0.10000000E+01 .181E-06 .500E-10 .813E-07 .181E-06 .500E-10  25    0
  8.0 0.10000000E+01 0.10000000E+01 .163E-06 .501E-09 .633E-07 .163E-06 .501E-09  25    0
  8.5 0.10000000E+01 0.10000000E+01 .145E-06 .217E-08 .455E-07 .145E-06 .217E-08  25    0
  9.0 0.10000000E+01 0.10000000E+01 .101E-06 .422E-08 .144E-08 .101E-06 .422E-08  25    0
  9.5 0.10000000E+01 0.10000000E+01 .117E-06 .162E-08 .170E-07 .117E-06 .162E-08  25    0
 10.0 0.99999999E+00 0.10000000E+01 .200E-06 .797E-08 .100E-06 .200E-06 .797E-08  23    0
 10.5 0.10000000E+01 0.10000000E+01 .148E-06 .779E-09 .479E-07 .148E-06 .779E-09  25    0
 11.0 0.10000000E+01 0.10000000E+01 .144E-06 .150E-09 .438E-07 .144E-06 .150E-09  25    0
 11.5 0.10000000E+01 0.10000000E+01 .151E-06 .437E-09 .508E-07 .151E-06 .437E-09  25    0
 12.0 0.10000000E+01 0.10000000E+01 .151E-06 .405E-09 .509E-07 .151E-06 .405E-09  25    0
 12.5 0.10000000E+01 0.10000000E+01 .150E-06 .878E-09 .500E-07 .150E-06 .878E-09  25    0
 13.0 0.10000000E+01 0.10000000E+01 .151E-06 .377E-09 .507E-07 .151E-06 .377E-09  25    0
 13.5 0.10000000E+01 0.10000000E+01 .141E-06 .144E-08 .407E-07 .141E-06 .144E-08  25    0
 14.0 0.10000000E+01 0.10000000E+01 .142E-06 .130E-08 .419E-07 .142E-06 .130E-08  25    0
 14.5 0.10000000E+01 0.10000000E+01 .138E-06 .609E-09 .380E-07 .138E-06 .609E-09  25    0
 15.0 0.10000000E+01 0.10000000E+01 .130E-06 .149E-08 .300E-07 .130E-06 .149E-08  25    0
 15.5 0.10000000E+01 0.10000000E+01 .127E-06 .406E-09 .269E-07 .127E-06 .406E-09  25    0
 16.0 0.10000000E+01 0.10000000E+01 .119E-06 .479E-09 .186E-07 .119E-06 .479E-09  25    0
 16.5 0.10000000E+01 0.10000000E+01 .121E-06 .199E-08 .212E-07 .121E-06 .199E-08  25    0
 17.0 0.10000000E+01 0.10000000E+01 .110E-06 .165E-08 .988E-08 .110E-06 .165E-08  25    0
 17.5 0.10000000E+01 0.10000000E+01 .113E-06 .890E-09 .128E-07 .113E-06 .890E-09  25    0
 18.0 0.10000000E+01 0.10000000E+01 .103E-06 .133E-08 .294E-08 .103E-06 .133E-08  25    0
 18.5 0.10000000E+01 0.10000000E+01 .103E-06 .446E-09 .319E-08 .103E-06 .446E-09  25    0
 19.0 0.10000000E+01 0.10000000E+01 .107E-06 .102E-08 .713E-08 .107E-06 .102E-08  25    0
 19.5 0.10000000E+01 0.10000000E+01 .107E-06 .984E-09 .662E-08 .107E-06 .984E-09  25    0
 20.0 0.10000000E+01 0.10000000E+01 .109E-06 .690E-09 .937E-08 .109E-06 .690E-09  25    0
 30.0 0.10000000E+01 0.10000000E+01 .131E-06 .365E-09 .313E-07 .131E-06 .365E-09  25    0
 35.0 0.10000000E+01 0.10000000E+01 .137E-06 .352E-09 .369E-07 .137E-06 .352E-09  25    0
 40.0 0.10000000E+01 0.10000000E+01 .136E-06 .756E-09 .359E-07 .136E-06 .756E-09  25    0
 45.0 0.10000000E+01 0.10000000E+01 .130E-06 .117E-08 .300E-07 .130E-06 .117E-08  25    0
 50.0 0.10000000E+01 0.10000000E+01 .132E-06 .815E-09 .325E-07 .132E-06 .815E-09  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  15


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************



 ERROR DETECTED , I =   1 IFAIL= -1
  1.5 -.25151090E-11 0.00000000E+00 .500E+00 .252E-11 .500E+00 .126E-11 .252E-11  93    0

 ERROR DETECTED , I =   3 IFAIL= -1
  2.5 0.99999994E+00 0.10000000E+01 .123E-06 .595E-07 .232E-07 .123E-06 .595E-07 101    0

 ERROR DETECTED , I =   5 IFAIL= -1
  3.5 0.58961340E-11 0.00000000E+00 .400E+00 .590E-11 .400E+00 .236E-11 .590E-11 215    0

 ERROR DETECTED , I =   7 IFAIL= -1
  4.5 0.10000005E+01 0.10000000E+01 .138E-06 .478E-06 .376E-07 .138E-06 .478E-06 163    0

 ERROR DETECTED , I =   9 IFAIL= -1
  5.5 0.11705151E-10 0.00000000E+00 .727E+00 .117E-10 .727E+00 .851E-11 .117E-10 327    0

 ERROR DETECTED , I =  11 IFAIL= -1
  6.5 0.10000005E+01 0.10000000E+01 .220E-06 .517E-06 .120E-06 .220E-06 .517E-06 241    0

 ERROR DETECTED , I =  13 IFAIL= -1
  7.5 -.41956578E-10 0.00000000E+00 .930E-01 .420E-10 .930E-01 .390E-11 .420E-10 457    0

 ERROR DETECTED , I =  15 IFAIL= -1
  8.5 0.10000036E+01 0.10000000E+01 .231E-06 .355E-05 .131E-06 .231E-06 .355E-05 259    0

 ERROR DETECTED , I =  17 IFAIL= -1

 ERROR DETECTED , I =  18 IFAIL= -1

 ERROR DETECTED , I =  19 IFAIL= -1
 10.5 0.10001199E+01 0.10000000E+01 .200E-06 .120E-03 .100E-06 .200E-06 .120E-03 241    0

 ERROR DETECTED , I =  21 IFAIL= -1

 ERROR DETECTED , I =  22 IFAIL= -1

 ERROR DETECTED , I =  23 IFAIL= -1
 12.5 0.10132066E+01 0.10000000E+01 .151E-06 .132E-01 .511E-07 .153E-06 .132E-01 331    0

 ERROR DETECTED , I =  25 IFAIL= -1

 ERROR DETECTED , I =  26 IFAIL= -1

 ERROR DETECTED , I =  27 IFAIL= -1
 14.5 0.11366198E+01 0.10000000E+01 .189E-06 .137E+00 .893E-07 .215E-06 .137E+00  81    0
 15.0 0.50000000E+00 0.50000000E+00 .201E-06 .849E-08 .101E-06 .101E-06 .424E-08  87    0
 15.5 -.13661988E+00 0.00000000E+00 .258E-06 .137E+00 .158E-06 .352E-07 .137E+00  95    0
 16.0 0.50000002E+00 0.50000000E+00 .163E-06 .314E-07 .632E-07 .816E-07 .157E-07  85    0
 16.5 0.11366198E+01 0.10000000E+01 .207E-06 .137E+00 .107E-06 .235E-06 .137E+00  89    0
 17.0 0.49999993E+00 0.50000000E+00 .124E-06 .131E-06 .238E-07 .619E-07 .654E-07  29    0
 17.5 0.49999995E+00 0.00000000E+00 .102E-06 .500E+00 .215E-08 .511E-07 .500E+00  39    0
 18.0 0.49999998E+00 0.50000000E+00 .211E-06 .412E-07 .111E-06 .105E-06 .206E-07  33    0
 18.5 0.49999999E+00 0.10000000E+01 .157E-06 .500E+00 .573E-07 .787E-07 .500E+00  29    0
 19.0 0.49999999E+00 0.50000000E+00 .145E-06 .112E-07 .446E-07 .723E-07 .562E-08  29    0
 19.5 0.50000001E+00 0.00000000E+00 .222E-06 .500E+00 .122E-06 .111E-06 .500E+00  27    0
 20.0 0.50000000E+00 0.50000000E+00 .198E-06 .383E-08 .977E-07 .989E-07 .191E-08  27    0
 30.0 0.50000000E+00 0.50000000E+00 .137E-06 .785E-09 .370E-07 .685E-07 .393E-09  25    0
 35.0 0.50000000E+00 0.50000000E+00 .133E-06 .219E-08 .334E-07 .667E-07 .109E-08  25    0
 40.0 0.50000000E+00 0.50000000E+00 .128E-06 .315E-08 .284E-07 .642E-07 .157E-08  25    0
 45.0 0.50000000E+00 0.50000000E+00 .127E-06 .140E-08 .267E-07 .634E-07 .699E-09  25    0
 50.0 0.50000000E+00 0.50000000E+00 .119E-06 .146E-08 .191E-07 .596E-07 .732E-09  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  16


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.53350719E+00 0.53350720E+00 .125E-06 .668E-09 .246E-07 .665E-07 .357E-09  25    0
  1.5 0.52542443E+00 0.52542443E+00 .136E-06 .329E-09 .358E-07 .714E-07 .173E-09  25    0
  2.0 0.41927963E+00 0.41927963E+00 .151E-06 .314E-09 .515E-07 .635E-07 .132E-09  25    0
  2.5 0.27410990E+00 0.27410990E+00 .162E-06 .479E-09 .620E-07 .444E-07 .131E-09  25    0
  3.0 0.13324264E+00 0.13324264E+00 .164E-06 .215E-08 .643E-07 .219E-07 .286E-09  25    0
  3.5 0.22128235E-01 0.22128235E-01 .126E-06 .148E-08 .257E-07 .278E-08 .326E-10  29    0
  4.0 -.49529880E-01 -.49529880E-01 .177E-06 .294E-09 .768E-07 .876E-08 .145E-10  29    0
  4.5 -.83448969E-01 -.83448969E-01 .111E-06 .473E-09 .114E-07 .929E-08 .394E-10  29    0
  5.0 -.87942421E-01 -.87942421E-01 .110E-06 .130E-08 .101E-07 .968E-08 .115E-09  29    0
  5.5 -.73722493E-01 -.73722493E-01 .234E-06 .519E-09 .134E-06 .172E-07 .383E-10  27    0
  6.0 -.50892320E-01 -.50892318E-01 .256E-06 .264E-07 .156E-06 .130E-07 .135E-08  27    0
  6.5 -.27238839E-01 -.27238839E-01 .195E-06 .107E-07 .951E-07 .531E-08 .292E-09  29    0
  7.0 -.76437138E-02 -.76437137E-02 .126E-06 .523E-08 .262E-07 .965E-09 .400E-10  33    0
  7.5 0.57141734E-02 0.57141734E-02 .118E-06 .505E-09 .181E-07 .675E-09 .289E-11  33    0
  8.0 0.12715096E-01 0.12715096E-01 .191E-06 .698E-08 .909E-07 .243E-08 .888E-10  33    0
  8.5 0.14511338E-01 0.14511338E-01 .175E-06 .147E-07 .746E-07 .253E-08 .213E-09  31    0
  9.0 0.12804671E-01 0.12804671E-01 .150E-06 .658E-08 .496E-07 .192E-08 .843E-10  35    0
  9.5 0.93022340E-02 0.93022340E-02 .198E-06 .342E-09 .982E-07 .184E-08 .318E-11  35    0
 10.0 0.53854806E-02 0.53854806E-02 .116E-06 .621E-09 .158E-07 .623E-09 .334E-11  37    0
 10.5 0.19721385E-02 0.19721385E-02 .134E-06 .490E-09 .335E-07 .263E-09 .966E-12  37    0
 11.0 -.47816316E-03 -.47816316E-03 .133E-06 .636E-09 .333E-07 .637E-10 .304E-12  41    0
 11.5 -.18722106E-02 -.18722105E-02 .103E-06 .841E-08 .334E-08 .193E-09 .157E-10  39    0
 12.0 -.23569928E-02 -.23569927E-02 .160E-06 .133E-07 .598E-07 .377E-09 .313E-10  39    0
 12.5 -.21968666E-02 -.21968666E-02 .178E-06 .925E-08 .777E-07 .390E-09 .203E-10  39    0
 13.0 -.16764380E-02 -.16764380E-02 .205E-06 .254E-08 .105E-06 .344E-09 .426E-11  41    0
 13.5 -.10377546E-02 -.10377546E-02 .135E-06 .211E-08 .350E-07 .140E-09 .219E-11  43    0
 14.0 -.45041187E-03 -.45041187E-03 .121E-06 .457E-09 .213E-07 .546E-10 .206E-12  47    0
 14.5 -.73821023E-05 -.73821019E-05 .368E-06 .573E-07 .268E-06 .272E-11 .423E-12  49    0
 15.0 0.26275145E-03 0.26275147E-03 .227E-06 .628E-07 .127E-06 .598E-10 .165E-10  43    0
 15.5 0.37596702E-03 0.37596702E-03 .108E-06 .194E-08 .773E-08 .405E-10 .728E-12  45    0
 16.0 0.37219184E-03 0.37219184E-03 .188E-06 .108E-07 .876E-07 .698E-10 .403E-11  45    0
 16.5 0.29818561E-03 0.29818562E-03 .161E-06 .230E-07 .610E-07 .480E-10 .686E-11  43    0
 17.0 0.19584215E-03 0.19584214E-03 .137E-06 .849E-07 .373E-07 .269E-10 .166E-10  43    0
 17.5 0.96031484E-04 0.96031484E-04 .227E-06 .219E-08 .127E-06 .218E-10 .211E-12  45    0
 18.0 0.16989259E-04 0.16989262E-04 .143E-06 .160E-06 .431E-07 .243E-11 .271E-11  51    0
 18.5 -.34225876E-04 -.34225876E-04 .153E-06 .414E-08 .529E-07 .523E-11 .142E-12  57    0
 19.0 -.58694553E-04 -.58694553E-04 .173E-06 .914E-08 .732E-07 .102E-10 .537E-12  53    0
 19.5 -.62225885E-04 -.62225889E-04 .236E-06 .652E-07 .136E-06 .147E-10 .406E-11  49    0
 20.0 -.52377644E-04 -.52377645E-04 .227E-06 .165E-07 .127E-06 .119E-10 .866E-12  53    0
 30.0 0.26490904E-06 0.26490956E-06 .100E-06 .195E-05 .000E+00 .265E-13 .515E-12  67    0
 35.0 -.25905040E-07 -.25906053E-07 .291E-04 .391E-04 .290E-04 .754E-12 .101E-11  69    0
 40.0 -.19776904E-09 -.19849321E-09 .115E-02 .365E-02 .115E-02 .228E-12 .724E-12  69    0
 45.0 0.18665320E-09 0.18670908E-09 .100E-06 .299E-03 .877E-15 .187E-16 .559E-13  79    0
 50.0 -.74768699E-11 -.10096387E-10 .538E+00 .259E+00 .538E+00 .403E-11 .262E-11  65    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  17


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.10017875E+02 0.10017875E+02 .136E-06 .532E-10 .361E-07 .136E-05 .533E-09  23    0
  1.5 0.45003011E+02 0.45003011E+02 .157E-06 .583E-09 .575E-07 .709E-05 .263E-07  21    0
  2.0 0.20171316E+03 0.20171316E+03 .152E-06 .609E-12 .518E-07 .306E-04 .123E-09  21    0
  2.5 0.90402093E+03 0.90402093E+03 .102E-06 .426E-08 .239E-08 .926E-04 .385E-05  21    0
  3.0 0.40515499E+04 0.40515419E+04 .149E-06 .198E-05 .489E-07 .603E-03 .804E-02  19    0
  3.5 0.18174649E+05 0.18157751E+05 .102E-06 .931E-03 .237E-08 .186E-02 .169E+02  19    0
  4.0 0.14422952E+06 0.81377396E+05 .163E-06 .772E+00 .635E-07 .236E-01 .629E+05  15    0
  4.5 -.17943207E+04 0.36470818E+06 .111E-06 .100E+01 .115E-07 .200E-03 .367E+06  19    0
  5.0 -.17072764E+02 0.16345087E+07 .128E-06 .100E+01 .278E-07 .218E-05 .163E+07  21    0
  5.5 -.16324131E+00 0.73253597E+07 .128E-06 .100E+01 .280E-07 .209E-07 .733E+07  25    0
  6.0 -.15608556E-02 0.32829985E+08 .140E-06 .100E+01 .402E-07 .219E-09 .328E+08  27    0
  6.5 -.14925908E-04 0.14713378E+09 .174E-06 .100E+01 .739E-07 .260E-11 .147E+09  33    0
  7.0 -.14307722E-06 0.65940787E+09 .475E-05 .100E+01 .465E-05 .680E-12 .659E+09  35    0
  7.5 -.14489745E-08 0.29552610E+10 .419E-03 .100E+01 .419E-03 .607E-12 .296E+10  41    0
  8.0 -.34342138E-10 0.13244561E+11 .244E-01 .100E+01 .244E-01 .838E-12 .132E+11  35    0
  8.5 -.33622034E-11 0.59358005E+11 .100E-06 .100E+01 .000E+00 .336E-18 .594E+11  39    0
  9.0 -.24100439E-12 0.26602412E+12 .200E+01 .100E+01 .200E+01 .482E-12 .266E+12  37    0
  9.5 -.11286592E-11 0.11922374E+13 .200E+00 .100E+01 .200E+00 .226E-12 .119E+13  33    0
 10.0 0.42473162E-12 0.53432373E+13 .100E+01 .100E+01 .100E+01 .425E-12 .534E+13  39    0
 10.5 -.80225696E-12 0.23946728E+14 .100E-06 .100E+01 .000E+00 .802E-19 .239E+14  37    0
 11.0 0.76024839E-12 0.10732179E+15 .500E+00 .100E+01 .500E+00 .380E-12 .107E+15  31    0
 11.5 -.18065120E-12 0.48098289E+15 .100E+01 .100E+01 .100E+01 .181E-12 .481E+15  37    0
 12.0 -.12051613E-11 0.21556158E+16 .571E+00 .100E+01 .571E+00 .689E-12 .216E+16  29    0
 12.5 0.98683667E-12 0.96607997E+16 .100E-06 .100E+01 .000E+00 .987E-19 .966E+16  35    0
 13.0 -.12597054E-11 0.43296700E+17 .250E+00 .100E+01 .250E+00 .315E-12 .433E+17  31    0
 13.5 -.75523841E-12 0.19404235E+18 .800E+00 .100E+01 .800E+00 .604E-12 .194E+18  29    0
 14.0 -.13063685E-11 0.86963747E+18 .222E+00 .100E+01 .222E+00 .290E-12 .870E+18  31    0
 14.5 0.27942817E-12 0.38974447E+19 .100E-06 .100E+01 .000E+00 .279E-19 .390E+19  33    0
 15.0 0.80808766E-12 0.17467136E+20 .333E+00 .100E+01 .333E+00 .269E-12 .175E+20  33    0
 15.5 0.18201255E-11 0.78282270E+20 .429E+00 .100E+01 .429E+00 .780E-12 .783E+20  27    0
 16.0 -.25131785E-12 0.35083680E+21 .250E+01 .100E+01 .250E+01 .628E-12 .351E+21  31    0
 16.5 0.24319645E-12 0.15723414E+22 .100E-06 .100E+01 .000E+00 .243E-19 .157E+22  37    0
 17.0 0.70679011E-12 0.70467454E+22 .100E-06 .100E+01 .798E-15 .707E-19 .705E+22  33    0
 17.5 -.10281101E-11 0.31581322E+23 .444E+00 .100E+01 .444E+00 .457E-12 .316E+23  33    0
 18.0 -.11088481E-12 0.14153767E+24 .100E-06 .100E+01 .000E+00 .111E-19 .142E+24  31    0
 18.5 -.43092121E-12 0.63432781E+24 .100E-06 .100E+01 .000E+00 .431E-19 .634E+24  39    0
 19.0 -.10475406E-12 0.28428600E+25 .200E+01 .100E+01 .200E+01 .210E-12 .284E+25  35    0
 19.5 0.61164680E-12 0.12740815E+26 .333E+00 .100E+01 .333E+00 .204E-12 .127E+26  29    0
 20.0 -.99278216E-12 0.57100369E+26 .100E-06 .100E+01 .169E-14 .993E-19 .571E+26  27    0
 30.0 0.13075553E-12 0.61020165E+39 .400E+01 .100E+01 .400E+01 .523E-12 .610E+39  25    0
 35.0 -.55892758E-12 0.19947598E+46 .600E+00 .100E+01 .600E+00 .335E-12 .199E+46  17    0
 40.0 -.14647169E-11 0.65209044E+52 .133E+00 .100E+01 .133E+00 .195E-12 .652E+52  43    0
 45.0 0.17339597E-12 0.21316950E+59 .100E-06 .100E+01 .000E+00 .173E-19 .213E+59  25    0
 50.0 -.77963874E-13 0.69685479E+65 .150E+01 .100E+01 .150E+01 .117E-12 .697E+65  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  18


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.10000000E+01 0.10000000E+01 .154E-06 .405E-09 .543E-07 .768E-08 .405E-09  23    0
  1.5 0.75937500E+01 0.75937500E+01 .121E-06 .306E-10 .215E-07 .102E-07 .232E-09  25    0
  2.0 0.32000000E+02 0.32000000E+02 .103E-06 .249E-09 .349E-08 .821E-08 .796E-08  25    0
  2.5 0.97656250E+02 0.97656250E+02 .109E-06 .192E-09 .917E-08 .590E-08 .187E-07  27    0
  3.0 0.24300000E+03 0.24300000E+03 .117E-06 .117E-09 .165E-07 .349E-08 .285E-07  27    0
  3.5 0.52521875E+03 0.52521875E+03 .169E-06 .158E-08 .689E-07 .244E-08 .832E-06  27    0
  4.0 0.10240000E+04 0.10240000E+04 .155E-06 .116E-07 .547E-07 .973E-09 .119E-04  27    0
  4.5 0.18452813E+04 0.18452812E+04 .172E-06 .815E-08 .722E-07 .436E-09 .150E-04  29    0
  5.0 0.31250000E+04 0.31250000E+04 .220E-06 .643E-08 .120E-06 .211E-09 .201E-04  31    0
  5.5 0.50328440E+04 0.50328437E+04 .133E-06 .524E-07 .328E-07 .456E-10 .264E-03  29    0
  6.0 0.77760000E+04 0.77760000E+04 .135E-06 .217E-08 .347E-07 .160E-10 .168E-04  37    0
  6.5 0.11602906E+05 0.11602906E+05 .148E-06 .278E-07 .480E-07 .584E-11 .322E-03  35    0
  7.0 0.16807000E+05 0.16807000E+05 .258E-06 .119E-07 .158E-06 .329E-11 .200E-03  37    0
  7.5 0.23730470E+05 0.23730469E+05 .183E-06 .336E-07 .827E-07 .733E-12 .798E-03  41    0
  8.0 0.32768001E+05 0.32768000E+05 .100E-06 .281E-07 .000E+00 .124E-12 .922E-03  45    0
  8.5 0.44370540E+05 0.44370531E+05 .100E-06 .193E-06 .158E-14 .374E-13 .857E-02  43    0
  9.0 0.59048814E+05 0.59049000E+05 .769E-06 .315E-05 .669E-06 .853E-13 .186E+00  39    0
  9.5 0.77378052E+05 0.77378094E+05 .245E-05 .541E-06 .235E-05 .794E-13 .418E-01  41    0
 10.0 0.10000181E+06 0.10000000E+06 .842E-05 .181E-04 .832E-05 .788E-13 .181E+01  47    0
 10.5 0.12766814E+06 0.12762816E+06 .238E-02 .313E-03 .238E-02 .634E-11 .400E+02  31    0
 11.0 0.16104437E+06 0.16105100E+06 .537E-04 .412E-04 .536E-04 .403E-13 .663E+01  45    0
 11.5 0.20077255E+06 0.20113572E+06 .195E-03 .181E-02 .195E-03 .407E-13 .363E+03  45    0
 12.0 0.24817770E+06 0.24883200E+06 .143E-02 .263E-02 .143E-02 .823E-13 .654E+03  35    0
 12.5 0.30438814E+06 0.30517578E+06 .842E-01 .258E-02 .842E-01 .133E-11 .788E+03  33    0
 13.0 0.36840667E+06 0.37129300E+06 .100E-06 .777E-02 .000E+00 .425E-18 .289E+04  49    0
 13.5 0.26016849E+06 0.44840334E+06 .563E+00 .420E+00 .563E+00 .377E-12 .188E+06  35    0
 14.0 0.29242068E+06 0.53782400E+06 .250E+00 .456E+00 .250E+00 .420E-13 .245E+06  39    0
 14.5 -.13131003E+07 0.64097341E+06 .100E-06 .305E+01 .491E-15 .168E-19 .195E+07  45    0
 15.0 0.14725337E+07 0.75937500E+06 .220E+02 .939E+00 .220E+02 .927E-12 .713E+06  33    0
 15.5 0.19797223E+08 0.89466097E+06 .267E+01 .211E+02 .267E+01 .337E-12 .189E+08  37    0
 16.0 0.29548642E+08 0.10485760E+07 .100E+01 .272E+02 .100E+01 .421E-13 .285E+08  41    0
 16.5 -.52884598E+09 0.12229810E+07 .750E+00 .433E+03 .750E+00 .126E-12 .530E+09  41    0
 17.0 -.11823433E+10 0.14198570E+07 .500E+00 .834E+03 .500E+00 .419E-13 .118E+10  41    0
 17.5 -.79254373E+10 0.16413086E+07 .333E+00 .483E+04 .333E+00 .418E-13 .793E+10  35    0
 18.0 -.11799456E+11 0.18895680E+07 .100E+01 .625E+04 .100E+01 .417E-13 .118E+11  43    0
 18.5 0.21070655E+12 0.21669987E+07 .250E+00 .972E+05 .250E+00 .415E-13 .211E+12  29    0
 19.0 -.70520139E+12 0.24760990E+07 .333E+00 .285E+06 .333E+00 .413E-13 .705E+12  35    0
 19.5 0.31457495E+13 0.28195062E+07 .100E+01 .112E+07 .100E+01 .123E-12 .315E+13  39    0
 20.0 0.00000000E+00 0.32000000E+07 .100E-06 .100E+01 .000E+00 .000E+00 .320E+07  43    0
 30.0 -.30563882E+27 0.24300000E+08 .286E+00 .126E+20 .286E+00 .716E-13 .306E+27  27    0
 35.0 -.26496569E+33 0.52521875E+08 .100E+01 .504E+25 .100E+01 .664E-13 .265E+33  43    0
 40.0 -.40255400E+39 0.10240000E+09 .100E+01 .393E+31 .100E+01 .309E-13 .403E+39  25    0
 45.0 0.36796141E+46 0.18452812E+09 .100E-06 .199E+38 .000E+00 .863E-20 .368E+46  25    0
 50.0 -.37491413E+52 0.31250000E+09 .500E+01 .120E+44 .500E+01 .135E-12 .375E+52  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  19


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.42073549E+00 0.42073549E+00 .104E-06 .302E-10 .408E-08 .438E-07 .127E-10  25    0
  1.5 0.74812124E+00 0.74812124E+00 .105E-06 .427E-10 .470E-08 .783E-07 .320E-10  25    0
  2.0 0.90929743E+00 0.90929743E+00 .106E-06 .127E-09 .562E-08 .960E-07 .116E-09  25    0
  2.5 0.74809018E+00 0.74809018E+00 .105E-06 .330E-09 .480E-08 .784E-07 .247E-09  25    0
  3.0 0.21168001E+00 0.21168001E+00 .200E-06 .176E-08 .100E-06 .424E-07 .373E-09  25    0
  3.5 -.61387065E+00 -.61387065E+00 .122E-06 .202E-09 .224E-07 .751E-07 .124E-09  27    0
  4.0 -.15136050E+01 -.15136050E+01 .119E-06 .393E-10 .194E-07 .181E-06 .594E-10  27    0
  4.5 -.21994428E+01 -.21994428E+01 .127E-06 .407E-12 .273E-07 .280E-06 .896E-12  27    0
  5.0 -.23973107E+01 -.23973107E+01 .151E-06 .121E-09 .506E-07 .361E-06 .291E-09  27    0
  5.5 -.19402359E+01 -.19402359E+01 .106E-06 .327E-10 .580E-08 .205E-06 .635E-10  29    0
  6.0 -.83824649E+00 -.83824649E+00 .122E-06 .164E-09 .221E-07 .102E-06 .138E-09  29    0
  6.5 0.69913996E+00 0.69913996E+00 .148E-06 .102E-08 .485E-07 .104E-06 .713E-09  29    0
  7.0 0.22994531E+01 0.22994531E+01 .122E-06 .572E-09 .216E-07 .280E-06 .132E-08  29    0
  7.5 0.35174999E+01 0.35174999E+01 .119E-06 .439E-10 .190E-07 .418E-06 .154E-09  29    0
  8.0 0.39574330E+01 0.39574330E+01 .118E-06 .699E-09 .176E-07 .465E-06 .277E-08  29    0
  8.5 0.33935702E+01 0.33935702E+01 .121E-06 .720E-09 .207E-07 .410E-06 .244E-08  29    0
  9.0 0.18545332E+01 0.18545332E+01 .142E-06 .461E-09 .419E-07 .263E-06 .856E-09  31    0
  9.5 -.35696782E+00 -.35696782E+00 .142E-06 .140E-09 .423E-07 .508E-07 .500E-10  33    0
 10.0 -.27201056E+01 -.27201056E+01 .113E-06 .627E-10 .129E-07 .307E-06 .171E-09  33    0
 10.5 -.46184027E+01 -.46184027E+01 .114E-06 .143E-09 .144E-07 .528E-06 .660E-09  33    0
 11.0 -.54999461E+01 -.54999461E+01 .122E-06 .952E-09 .216E-07 .669E-06 .524E-08  33    0
 11.5 -.50338500E+01 -.50338500E+01 .144E-06 .462E-09 .436E-07 .723E-06 .233E-08  33    0
 12.0 -.32194375E+01 -.32194375E+01 .113E-06 .747E-10 .128E-07 .363E-06 .240E-09  35    0
 12.5 -.41451186E+00 -.41451186E+00 .192E-06 .639E-10 .916E-07 .794E-07 .265E-10  35    0
 13.0 0.27310857E+01 0.27310857E+01 .105E-06 .137E-10 .501E-08 .287E-06 .373E-10  35    0
 13.5 0.54255449E+01 0.54255449E+01 .114E-06 .132E-10 .141E-07 .619E-06 .716E-10  35    0
 14.0 0.69342515E+01 0.69342515E+01 .109E-06 .519E-09 .850E-08 .752E-06 .360E-08  35    0
 14.5 0.67779892E+01 0.67779892E+01 .136E-06 .342E-08 .361E-07 .923E-06 .232E-07  35    0
 15.0 0.48771588E+01 0.48771588E+01 .125E-06 .460E-09 .253E-07 .611E-06 .224E-08  37    0
 15.5 0.16001230E+01 0.16001230E+01 .101E-06 .217E-10 .103E-08 .162E-06 .348E-10  41    0
 16.0 -.23032265E+01 -.23032265E+01 .127E-06 .426E-10 .269E-07 .292E-06 .980E-10  39    0
 16.5 -.58722291E+01 -.58722291E+01 .125E-06 .632E-10 .248E-07 .733E-06 .371E-09  39    0
 17.0 -.81718787E+01 -.81718787E+01 .143E-06 .191E-09 .433E-07 .117E-05 .156E-08  39    0
 17.5 -.85367275E+01 -.85367275E+01 .143E-06 .229E-09 .431E-07 .122E-05 .196E-08  39    0
 18.0 -.67588852E+01 -.67588852E+01 .115E-06 .143E-08 .151E-07 .778E-06 .964E-08  41    0
 18.5 -.31679457E+01 -.31679457E+01 .170E-06 .244E-08 .696E-07 .537E-06 .774E-08  41    0
 19.0 0.14238335E+01 0.14238335E+01 .118E-06 .340E-09 .185E-07 .169E-06 .484E-09  43    0
 19.5 0.59040137E+01 0.59040137E+01 .122E-06 .482E-09 .219E-07 .719E-06 .284E-08  43    0
 20.0 0.91294525E+01 0.91294525E+01 .216E-06 .283E-08 .116E-06 .198E-05 .258E-07  41    0
 30.0 -.14820474E+02 -.14820474E+02 .195E-06 .137E-09 .947E-07 .289E-05 .203E-08  53    0
 35.0 -.74931974E+01 -.74931967E+01 .105E-06 .949E-07 .470E-08 .785E-06 .711E-06  61    0
 40.0 0.14902230E+02 0.14902263E+02 .100E-06 .220E-05 .000E+00 .149E-05 .328E-04  67    0
 45.0 0.19145821E+02 0.19145329E+02 .100E-06 .257E-04 .000E+00 .191E-05 .491E-03  71    0
 50.0 -.65732651E+01 -.65593713E+01 .100E-06 .212E-02 .000E+00 .657E-06 .139E-01  75    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  20


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.36787944E+00 0.36787944E+00 .134E-06 .187E-09 .335E-07 .491E-07 .687E-10  25    0
  1.5 0.22313016E+00 0.22313016E+00 .198E-06 .449E-08 .980E-07 .442E-07 .100E-08  23    0
  2.0 0.13533528E+00 0.13533528E+00 .129E-06 .941E-11 .295E-07 .175E-07 .127E-11  27    0
  2.5 0.82084998E-01 0.82084999E-01 .116E-06 .216E-08 .162E-07 .953E-08 .177E-09  27    0
  3.0 0.49787068E-01 0.49787068E-01 .138E-06 .807E-09 .380E-07 .687E-08 .402E-10  27    0
  3.5 0.30197383E-01 0.30197383E-01 .187E-06 .786E-09 .867E-07 .564E-08 .237E-10  27    0
  4.0 0.18315639E-01 0.18315639E-01 .165E-06 .425E-08 .650E-07 .302E-08 .778E-10  25    0
  4.5 0.11108997E-01 0.11108997E-01 .131E-06 .112E-08 .309E-07 .145E-08 .124E-10  29    0
  5.0 0.67379470E-02 0.67379470E-02 .138E-06 .126E-08 .381E-07 .930E-09 .850E-11  29    0
  5.5 0.40867715E-02 0.40867714E-02 .126E-06 .569E-08 .261E-07 .515E-09 .232E-10  29    0
  6.0 0.24787522E-02 0.24787522E-02 .164E-06 .254E-07 .637E-07 .406E-09 .629E-10  29    0
  6.5 0.15034392E-02 0.15034392E-02 .251E-06 .465E-08 .151E-06 .377E-09 .698E-11  31    0
  7.0 0.91188196E-03 0.91188197E-03 .170E-06 .164E-08 .699E-07 .155E-09 .149E-11  31    0
  7.5 0.55308440E-03 0.55308437E-03 .243E-06 .468E-07 .143E-06 .135E-09 .259E-10  31    0
  8.0 0.33546263E-03 0.33546263E-03 .124E-06 .178E-07 .242E-07 .416E-10 .597E-11  33    0
  8.5 0.20346837E-03 0.20346837E-03 .174E-06 .256E-07 .742E-07 .354E-10 .521E-11  35    0
  9.0 0.12340980E-03 0.12340980E-03 .116E-06 .686E-08 .155E-07 .143E-10 .846E-12  33    0
  9.5 0.74851829E-04 0.74851830E-04 .208E-06 .634E-08 .108E-06 .156E-10 .474E-12  35    0
 10.0 0.45399936E-04 0.45399930E-04 .193E-06 .145E-06 .933E-07 .878E-11 .659E-11  37    0
 10.5 0.27536451E-04 0.27536449E-04 .229E-06 .583E-07 .129E-06 .629E-11 .160E-11  39    0
 11.0 0.16701701E-04 0.16701701E-04 .203E-06 .401E-07 .103E-06 .340E-11 .669E-12  39    0
 11.5 0.10130091E-04 0.10130094E-04 .211E-06 .211E-06 .111E-06 .214E-11 .213E-11  41    0
 12.0 0.61442095E-05 0.61442124E-05 .144E-05 .463E-06 .134E-05 .884E-11 .285E-11  37    0
 12.5 0.37266517E-05 0.37266532E-05 .139E-05 .401E-06 .129E-05 .520E-11 .150E-11  37    0
 13.0 0.22603296E-05 0.22603294E-05 .332E-06 .806E-07 .232E-06 .750E-12 .182E-12  39    0
 13.5 0.13709603E-05 0.13709591E-05 .474E-06 .871E-06 .374E-06 .649E-12 .119E-11  35    0
 14.0 0.83152973E-06 0.83152872E-06 .372E-05 .122E-05 .362E-05 .309E-11 .101E-11  37    0
 14.5 0.50434553E-06 0.50434766E-06 .107E-05 .422E-05 .973E-06 .541E-12 .213E-11  43    0
 15.0 0.30590459E-06 0.30590232E-06 .100E-06 .741E-05 .246E-14 .306E-13 .227E-11  37    0
 15.5 0.18553996E-06 0.18553914E-06 .100E-06 .441E-05 .000E+00 .186E-13 .819E-12  41    0
 16.0 0.11253563E-06 0.11253517E-06 .420E-05 .402E-05 .410E-05 .473E-12 .452E-12  41    0
 16.5 0.68255948E-07 0.68256034E-07 .100E-06 .126E-05 .000E+00 .683E-14 .862E-13  41    0
 17.0 0.41400689E-07 0.41399377E-07 .108E-04 .317E-04 .107E-04 .448E-12 .131E-11  41    0
 17.5 0.25110758E-07 0.25109992E-07 .100E-06 .305E-04 .000E+00 .251E-14 .766E-12  49    0
 18.0 0.15230036E-07 0.15229980E-07 .100E-06 .372E-05 .000E+00 .152E-14 .566E-13  39    0
 18.5 0.92386925E-08 0.92374497E-08 .456E-04 .135E-03 .455E-04 .421E-12 .124E-11  39    0
 19.0 0.56021438E-08 0.56027964E-08 .221E-03 .116E-03 .221E-03 .124E-11 .653E-12  43    0
 19.5 0.33985575E-08 0.33982678E-08 .597E-03 .852E-04 .597E-03 .203E-11 .290E-12  31    0
 20.0 0.20616479E-08 0.20611536E-08 .387E-03 .240E-03 .387E-03 .797E-12 .494E-12  35    0
 30.0 -.11881200E-11 0.93576230E-13 .500E+00 .137E+02 .500E+00 .594E-12 .128E-11  45    0
 35.0 -.34249118E-11 0.63051168E-15 .846E+00 .543E+04 .846E+00 .290E-11 .343E-11  25    0
 40.0 -.47338956E-12 0.42483543E-17 .100E-06 .111E+06 .759E-15 .473E-19 .473E-12  31    0
 45.0 -.64460122E-12 0.28625186E-19 .100E-06 .225E+08 .000E+00 .645E-19 .645E-12  35    0
 50.0 0.98361788E-12 0.19287498E-21 .100E-06 .510E+10 .000E+00 .984E-19 .984E-12  27    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  21


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.54030231E+00 0.54030231E+00 .107E-06 .228E-08 .738E-08 .580E-07 .123E-08  25    0
  1.5 0.70737202E-01 0.70737202E-01 .192E-06 .347E-09 .921E-07 .136E-07 .245E-10  27    0
  2.0 -.41614683E+00 -.41614684E+00 .202E-06 .598E-08 .102E-06 .839E-07 .249E-08  25    0
  2.5 -.80114362E+00 -.80114362E+00 .214E-06 .224E-08 .114E-06 .172E-06 .180E-08  25    0
  3.0 -.98999250E+00 -.98999250E+00 .122E-06 .437E-09 .218E-07 .121E-06 .433E-09  27    0
  3.5 -.93645669E+00 -.93645669E+00 .134E-06 .702E-09 .338E-07 .125E-06 .658E-09  27    0
  4.0 -.65364362E+00 -.65364362E+00 .183E-06 .816E-08 .826E-07 .119E-06 .533E-08  27    0
  4.5 -.21079580E+00 -.21079580E+00 .125E-06 .134E-08 .245E-07 .262E-07 .282E-09  29    0
  5.0 0.28366219E+00 0.28366219E+00 .122E-06 .107E-08 .217E-07 .345E-07 .303E-09  29    0
  5.5 0.70866977E+00 0.70866977E+00 .115E-06 .503E-09 .149E-07 .814E-07 .357E-09  29    0
  6.0 0.96017029E+00 0.96017029E+00 .102E-06 .141E-08 .226E-08 .982E-07 .136E-08  29    0
  6.5 0.97658762E+00 0.97658763E+00 .109E-06 .786E-09 .897E-08 .106E-06 .768E-09  29    0
  7.0 0.75390225E+00 0.75390225E+00 .117E-06 .213E-08 .167E-07 .880E-07 .161E-08  29    0
  7.5 0.34663532E+00 0.34663532E+00 .160E-06 .101E-09 .595E-07 .553E-07 .350E-10  31    0
  8.0 -.14550004E+00 -.14550003E+00 .215E-06 .115E-07 .115E-06 .314E-07 .168E-08  31    0
  8.5 -.60201190E+00 -.60201190E+00 .145E-06 .108E-08 .448E-07 .872E-07 .650E-09  31    0
  9.0 -.91113026E+00 -.91113026E+00 .165E-06 .166E-08 .649E-07 .150E-06 .151E-08  31    0
  9.5 -.99717216E+00 -.99717216E+00 .197E-06 .437E-09 .967E-07 .196E-06 .435E-09  31    0
 10.0 -.83907153E+00 -.83907153E+00 .136E-06 .161E-08 .357E-07 .114E-06 .135E-08  33    0
 10.5 -.47553693E+00 -.47553693E+00 .169E-06 .268E-08 .694E-07 .806E-07 .128E-08  33    0
 11.0 0.44256980E-02 0.44256980E-02 .186E-06 .224E-08 .859E-07 .823E-09 .993E-11  39    0
 11.5 0.48330476E+00 0.48330476E+00 .177E-06 .105E-09 .768E-07 .854E-07 .509E-10  35    0
 12.0 0.84385396E+00 0.84385396E+00 .110E-06 .165E-09 .988E-08 .927E-07 .139E-09  37    0
 12.5 0.99779829E+00 0.99779828E+00 .217E-06 .866E-08 .117E-06 .217E-06 .864E-08  33    0
 13.0 0.90744679E+00 0.90744678E+00 .219E-06 .102E-07 .119E-06 .198E-06 .921E-08  33    0
 13.5 0.59492066E+00 0.59492066E+00 .137E-06 .266E-08 .370E-07 .815E-07 .158E-08  37    0
 14.0 0.13673722E+00 0.13673722E+00 .165E-06 .655E-08 .649E-07 .225E-07 .895E-09  39    0
 14.5 -.35492427E+00 -.35492427E+00 .147E-06 .688E-10 .471E-07 .522E-07 .244E-10  39    0
 15.0 -.75968791E+00 -.75968791E+00 .186E-06 .559E-08 .858E-07 .141E-06 .424E-08  37    0
 15.5 -.97845347E+00 -.97845346E+00 .105E-06 .271E-08 .482E-08 .103E-06 .265E-08  39    0
 16.0 -.95765948E+00 -.95765948E+00 .121E-06 .162E-08 .209E-07 .116E-06 .155E-08  39    0
 16.5 -.70239706E+00 -.70239706E+00 .115E-06 .355E-09 .148E-07 .806E-07 .250E-09  41    0
 17.0 -.27516334E+00 -.27516334E+00 .163E-06 .111E-09 .628E-07 .448E-07 .306E-10  41    0
 17.5 0.21943996E+00 0.21943996E+00 .124E-06 .298E-08 .238E-07 .272E-07 .654E-09  43    0
 18.0 0.66031671E+00 0.66031671E+00 .120E-06 .418E-09 .205E-07 .796E-07 .276E-09  43    0
 18.5 0.93952489E+00 0.93952489E+00 .153E-06 .763E-09 .526E-07 .143E-06 .717E-09  41    0
 19.0 0.98870462E+00 0.98870462E+00 .131E-06 .598E-09 .307E-07 .129E-06 .592E-09  43    0
 19.5 0.79581497E+00 0.79581497E+00 .152E-06 .130E-08 .523E-07 .121E-06 .104E-08  43    0
 20.0 0.40808206E+00 0.40808206E+00 .158E-06 .124E-08 .577E-07 .644E-07 .505E-09  45    0
 30.0 0.15425145E+00 0.15425145E+00 .105E-06 .255E-08 .460E-08 .161E-07 .393E-09  59    0
 35.0 -.90369231E+00 -.90369221E+00 .147E-06 .117E-06 .474E-07 .133E-06 .106E-06  63    0
 40.0 -.66693931E+00 -.66693806E+00 .100E-06 .188E-05 .000E+00 .667E-07 .125E-05  73    0
 45.0 0.52532663E+00 0.52532199E+00 .100E-06 .883E-05 .000E+00 .525E-07 .464E-05  73    0
 50.0 0.96505725E+00 0.96496603E+00 .100E-06 .945E-04 .000E+00 .965E-07 .912E-04  79    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  22


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;
 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.12840254E+01 0.12840254E+01 .113E-06 .679E-09 .131E-07 .145E-06 .872E-09  23    0
  1.5 0.21824871E+01 0.21824871E+01 .128E-06 .598E-09 .279E-07 .279E-06 .131E-08  23    0
  2.0 0.32974425E+01 0.32974425E+01 .140E-06 .516E-09 .396E-07 .460E-06 .170E-08  23    0
  2.5 0.46706149E+01 0.46706149E+01 .149E-06 .422E-09 .486E-07 .694E-06 .197E-08  23    0
  3.0 0.63510000E+01 0.63510000E+01 .155E-06 .423E-09 .552E-07 .986E-06 .268E-08  23    0
  3.5 0.83960635E+01 0.83960635E+01 .159E-06 .333E-09 .594E-07 .134E-05 .280E-08  23    0
  4.0 0.10873127E+02 0.10873127E+02 .162E-06 .289E-09 .618E-07 .176E-05 .315E-08  23    0
  4.5 0.13860976E+02 0.13860976E+02 .163E-06 .279E-09 .626E-07 .225E-05 .387E-08  23    0
  5.0 0.17451715E+02 0.17451715E+02 .162E-06 .189E-09 .618E-07 .282E-05 .331E-08  23    0
  5.5 0.21752922E+02 0.21752922E+02 .161E-06 .161E-09 .609E-07 .350E-05 .350E-08  23    0
  6.0 0.26890134E+02 0.26890134E+02 .159E-06 .130E-09 .590E-07 .428E-05 .350E-08  23    0
  6.5 0.33009724E+02 0.33009724E+02 .156E-06 .951E-10 .561E-07 .515E-05 .314E-08  23    0
  7.0 0.40282219E+02 0.40282219E+02 .153E-06 .611E-10 .526E-07 .615E-05 .246E-08  23    0
  7.5 0.48906143E+02 0.48906143E+02 .149E-06 .431E-10 .486E-07 .727E-05 .211E-08  23    0
  8.0 0.59112449E+02 0.59112449E+02 .144E-06 .100E-10 .442E-07 .853E-05 .593E-09  23    0
  8.5 0.71169629E+02 0.71169629E+02 .140E-06 .258E-11 .397E-07 .994E-05 .184E-09  23    0
  9.0 0.85389623E+02 0.85389623E+02 .135E-06 .129E-10 .351E-07 .115E-04 .110E-08  23    0
  9.5 0.10213463E+03 0.10213463E+03 .131E-06 .259E-10 .306E-07 .133E-04 .265E-08  23    0
 10.0 0.12182494E+03 0.12182494E+03 .206E-06 .157E-08 .106E-06 .251E-04 .191E-06  21    0
 10.5 0.14494803E+03 0.14494803E+03 .147E-06 .146E-08 .473E-07 .214E-04 .211E-06  21    0
 11.0 0.17206895E+03 0.17206895E+03 .139E-06 .133E-08 .386E-07 .239E-04 .229E-06  21    0
 11.5 0.20384238E+03 0.20384238E+03 .172E-06 .120E-08 .721E-07 .351E-04 .245E-06  21    0
 12.0 0.24102644E+03 0.24102644E+03 .198E-06 .107E-08 .981E-07 .477E-04 .258E-06  21    0
 12.5 0.28449869E+03 0.28449869E+03 .109E-06 .453E-10 .856E-08 .309E-04 .129E-07  23    0
 13.0 0.33527442E+03 0.33527442E+03 .106E-06 .430E-10 .603E-08 .355E-04 .144E-07  23    0
 13.5 0.39452783E+03 0.39452783E+03 .104E-06 .408E-10 .384E-08 .410E-04 .161E-07  23    0
 14.0 0.46361633E+03 0.46361633E+03 .102E-06 .373E-10 .198E-08 .473E-04 .173E-07  23    0
 14.5 0.54410849E+03 0.54410849E+03 .101E-06 .345E-10 .550E-09 .547E-04 .187E-07  23    0
 15.0 0.63781623E+03 0.63781623E+03 .102E-06 .296E-10 .160E-08 .648E-04 .189E-07  23    0
 15.5 0.74683182E+03 0.74683182E+03 .102E-06 .263E-10 .242E-08 .765E-04 .196E-07  23    0
 16.0 0.87357040E+03 0.87357040E+03 .103E-06 .233E-10 .301E-08 .900E-04 .203E-07  23    0
 16.5 0.10208189E+04 0.10208189E+04 .103E-06 .195E-10 .342E-08 .106E-03 .199E-07  23    0
 17.0 0.11917920E+04 0.11917920E+04 .104E-06 .168E-10 .366E-08 .124E-03 .200E-07  23    0
 17.5 0.13901972E+04 0.13901972E+04 .202E-06 .335E-10 .102E-06 .281E-03 .466E-07  21    0
 18.0 0.16203084E+04 0.16203084E+04 .191E-06 .420E-11 .914E-07 .310E-03 .681E-08  21    0
 18.5 0.18870513E+04 0.18870513E+04 .181E-06 .336E-10 .806E-07 .341E-03 .635E-07  21    0
 19.0 0.21961014E+04 0.21961014E+04 .170E-06 .560E-10 .700E-07 .373E-03 .123E-06  21    0
 19.5 0.25539960E+04 0.25539960E+04 .160E-06 .725E-10 .598E-07 .408E-03 .185E-06  21    0
 20.0 0.29682632E+04 0.29682632E+04 .150E-06 .838E-10 .501E-07 .446E-03 .249E-06  21    0
 30.0 0.54241274E+05 0.54241272E+05 .185E-06 .217E-07 .852E-07 .100E-01 .118E-02  19    0
 35.0 0.22087489E+06 0.22087408E+06 .113E-06 .363E-05 .132E-07 .250E-01 .802E+00  19    0
 40.0 0.88159655E+06 0.88105863E+06 .106E-06 .611E-03 .599E-08 .934E-01 .538E+03  19    0
 45.0 0.38280223E+07 0.34595964E+07 .113E-06 .106E+00 .129E-07 .432E+00 .368E+06  17    0
 50.0 0.27108515E+08 0.13416864E+08 .154E-06 .102E+01 .545E-07 .419E+01 .137E+08  15    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  23


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.11283792E+01 0.11283792E+01 .120E-06 .334E-09 .196E-07 .105E-06 .376E-09  25    0
  1.5 0.13819766E+01 0.13819766E+01 .119E-06 .549E-09 .188E-07 .113E-06 .759E-09  25    0
  2.0 0.15957691E+01 0.15957691E+01 .119E-06 .524E-09 .188E-07 .115E-06 .836E-09  25    0
  2.5 0.17841241E+01 0.17841241E+01 .119E-06 .347E-09 .189E-07 .114E-06 .619E-09  25    0
  3.0 0.19544100E+01 0.19544100E+01 .115E-06 .817E-09 .154E-07 .107E-06 .160E-08  25    0
  3.5 0.21110041E+01 0.21110041E+01 .113E-06 .105E-08 .126E-07 .990E-07 .221E-08  25    0
  4.0 0.22567583E+01 0.22567583E+01 .112E-06 .137E-09 .117E-07 .927E-07 .310E-09  25    0
  4.5 0.23936537E+01 0.23936537E+01 .108E-06 .209E-09 .810E-08 .840E-07 .501E-09  25    0
  5.0 0.25231325E+01 0.25231325E+01 .101E-06 .303E-08 .145E-08 .733E-07 .765E-08  25    0
  5.5 0.26462837E+01 0.26462837E+01 .106E-06 .132E-08 .588E-08 .708E-07 .348E-08  25    0
  6.0 0.27639532E+01 0.27639532E+01 .115E-06 .686E-09 .148E-07 .708E-07 .190E-08  25    0
  6.5 0.28768137E+01 0.28768137E+01 .122E-06 .130E-08 .218E-07 .690E-07 .373E-08  25    0
  7.0 0.29854107E+01 0.29854107E+01 .132E-06 .213E-08 .322E-07 .686E-07 .635E-08  25    0
  7.5 0.30901936E+01 0.30901936E+01 .141E-06 .150E-08 .413E-07 .670E-07 .462E-08  25    0
  8.0 0.31915382E+01 0.31915382E+01 .155E-06 .380E-09 .553E-07 .671E-07 .121E-08  25    0
  8.5 0.32897623E+01 0.32897623E+01 .165E-06 .240E-08 .649E-07 .648E-07 .791E-08  25    0
  9.0 0.33851375E+01 0.33851375E+01 .177E-06 .104E-08 .773E-07 .633E-07 .351E-08  25    0
  9.5 0.34778982E+01 0.34778982E+01 .130E-06 .283E-08 .297E-07 .420E-07 .984E-08  27    0
 10.0 0.35682482E+01 0.35682482E+01 .119E-06 .677E-09 .195E-07 .350E-07 .242E-08  27    0
 10.5 0.36563664E+01 0.36563664E+01 .122E-06 .344E-09 .220E-07 .323E-07 .126E-08  27    0
 11.0 0.37424103E+01 0.37424103E+01 .115E-06 .337E-09 .151E-07 .275E-07 .126E-08  27    0
 11.5 0.38265199E+01 0.38265199E+01 .106E-06 .712E-09 .625E-08 .229E-07 .273E-08  27    0
 12.0 0.39088201E+01 0.39088201E+01 .119E-06 .103E-08 .189E-07 .231E-07 .402E-08  27    0
 12.5 0.39894228E+01 0.39894228E+01 .114E-06 .621E-09 .142E-07 .200E-07 .248E-08  27    0
 13.0 0.40684289E+01 0.40684289E+01 .132E-06 .170E-08 .320E-07 .208E-07 .693E-08  27    0
 13.5 0.41459298E+01 0.41459298E+01 .116E-06 .641E-09 .159E-07 .164E-07 .266E-08  27    0
 14.0 0.42220083E+01 0.42220082E+01 .123E-06 .114E-08 .231E-07 .157E-07 .481E-08  27    0
 14.5 0.42967399E+01 0.42967399E+01 .106E-06 .186E-09 .593E-08 .121E-07 .798E-09  27    0
 15.0 0.43701937E+01 0.43701937E+01 .125E-06 .121E-08 .251E-07 .129E-07 .527E-08  27    0
 15.5 0.44424332E+01 0.44424332E+01 .117E-06 .451E-09 .166E-07 .107E-07 .200E-08  27    0
 16.0 0.45135167E+01 0.45135167E+01 .146E-06 .245E-08 .465E-07 .121E-07 .110E-07  27    0
 16.5 0.45834979E+01 0.45834978E+01 .151E-06 .733E-08 .509E-07 .112E-07 .336E-07  27    0
 17.0 0.46524265E+01 0.46524265E+01 .110E-06 .336E-08 .964E-08 .728E-08 .156E-07  27    0
 17.5 0.47203487E+01 0.47203487E+01 .182E-06 .456E-08 .816E-07 .108E-07 .215E-07  27    0
 18.0 0.47873074E+01 0.47873074E+01 .112E-06 .123E-09 .120E-07 .596E-08 .591E-09  27    0
 18.5 0.48533423E+01 0.48533423E+01 .200E-06 .411E-08 .997E-07 .950E-08 .199E-07  27    0
 19.0 0.49184908E+01 0.49184908E+01 .135E-06 .978E-09 .347E-07 .573E-08 .481E-08  29    0
 19.5 0.49827875E+01 0.49827875E+01 .136E-06 .361E-08 .356E-07 .516E-08 .180E-07  29    0
 20.0 0.50462651E+01 0.50462650E+01 .186E-06 .877E-08 .855E-07 .631E-08 .443E-07  25    0
 30.0 0.61803873E+01 0.61803872E+01 .166E-06 .180E-07 .659E-07 .567E-09 .111E-06  31    0
 35.0 0.66755812E+01 0.66755812E+01 .157E-06 .849E-08 .574E-07 .166E-09 .567E-07  33    0
 40.0 0.71364965E+01 0.71364965E+01 .122E-06 .115E-07 .216E-07 .394E-10 .824E-07  37    0
 45.0 0.75693982E+01 0.75693976E+01 .169E-06 .846E-07 .687E-07 .166E-10 .641E-06  33    0
 50.0 0.79788459E+01 0.79788456E+01 .182E-06 .377E-07 .822E-07 .542E-11 .300E-06  39    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  24


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.20755375E+00 0.20755375E+00 .109E-06 .880E-09 .896E-08 .226E-07 .183E-09  27    0
  1.5 0.10278689E+00 0.10278689E+00 .280E-06 .364E-08 .180E-06 .287E-07 .375E-09  25    0
  2.0 0.53990967E-01 0.53990967E-01 .191E-06 .361E-08 .912E-07 .103E-07 .195E-09  27    0
  2.5 0.29289965E-01 0.29289965E-01 .161E-06 .156E-07 .610E-07 .472E-08 .458E-09  25    0
  3.0 0.16217391E-01 0.16217391E-01 .279E-06 .565E-08 .179E-06 .453E-08 .917E-10  25    0
  3.5 0.91066859E-02 0.91066858E-02 .194E-06 .531E-08 .941E-07 .177E-08 .483E-10  29    0
  4.0 0.51667464E-02 0.51667463E-02 .128E-06 .290E-08 .279E-07 .661E-09 .150E-10  31    0
  4.5 0.29545656E-02 0.29545656E-02 .210E-06 .929E-08 .110E-06 .621E-09 .274E-10  31    0
  5.0 0.17000732E-02 0.17000733E-02 .208E-06 .659E-07 .108E-06 .354E-09 .112E-09  27    0
  5.5 0.98315969E-03 0.98315970E-03 .174E-06 .812E-08 .737E-07 .171E-09 .798E-11  33    0
  6.0 0.57092955E-03 0.57092958E-03 .104E-06 .538E-07 .427E-08 .595E-10 .307E-10  31    0
  6.5 0.33270110E-03 0.33270111E-03 .204E-06 .477E-07 .104E-06 .678E-10 .159E-10  31    0
  7.0 0.19445302E-03 0.19445301E-03 .359E-06 .326E-07 .259E-06 .697E-10 .634E-11  29    0
  7.5 0.11394252E-03 0.11394252E-03 .155E-06 .212E-07 .548E-07 .176E-10 .241E-11  35    0
  8.0 0.66915117E-04 0.66915113E-04 .115E-06 .563E-07 .148E-07 .768E-11 .377E-11  37    0
  8.5 0.39374270E-04 0.39374269E-04 .124E-06 .116E-07 .241E-07 .489E-11 .458E-12  39    0
  9.0 0.23208843E-04 0.23208842E-04 .218E-06 .343E-07 .118E-06 .505E-11 .796E-12  35    0
  9.5 0.13701422E-04 0.13701423E-04 .228E-06 .639E-07 .128E-06 .312E-11 .875E-12  41    0
 10.0 0.80999168E-05 0.80999110E-05 .228E-05 .727E-06 .218E-05 .185E-10 .589E-11  33    0
 10.5 0.47944430E-05 0.47944451E-05 .269E-06 .456E-06 .169E-06 .129E-11 .219E-11  41    0
 11.0 0.28411174E-05 0.28411190E-05 .925E-06 .569E-06 .825E-06 .263E-11 .162E-11  33    0
 11.5 0.16853422E-05 0.16853480E-05 .189E-05 .348E-05 .179E-05 .319E-11 .586E-11  33    0
 12.0 0.10006929E-05 0.10006925E-05 .229E-05 .371E-06 .219E-05 .229E-11 .371E-12  39    0
 12.5 0.59469358E-06 0.59468781E-06 .248E-05 .971E-05 .238E-05 .147E-11 .577E-11  41    0
 13.0 0.35369329E-06 0.35369191E-06 .204E-05 .392E-05 .194E-05 .721E-12 .139E-11  37    0
 13.5 0.21051604E-06 0.21051482E-06 .100E-06 .578E-05 .000E+00 .211E-13 .122E-11  39    0
 14.0 0.12538398E-06 0.12538290E-06 .310E-04 .862E-05 .309E-04 .389E-11 .108E-11  37    0
 14.5 0.74723663E-07 0.74725886E-07 .758E-04 .297E-04 .757E-04 .566E-11 .222E-11  31    0
 15.0 0.44552401E-07 0.44561747E-07 .549E-03 .210E-03 .549E-03 .245E-10 .935E-11  29    0
 15.5 0.26590808E-07 0.26588556E-07 .100E-06 .847E-04 .000E+00 .266E-14 .225E-11  49    0
 16.0 0.15870167E-07 0.15872793E-07 .110E-03 .165E-03 .110E-03 .174E-11 .263E-11  45    0
 16.5 0.94668119E-08 0.94803450E-08 .167E-02 .143E-02 .167E-02 .158E-10 .135E-10  27    0
 17.0 0.56637129E-08 0.56649282E-08 .976E-04 .215E-03 .975E-04 .553E-12 .122E-11  41    0
 17.5 0.33861951E-08 0.33865119E-08 .318E-03 .935E-04 .318E-03 .108E-11 .317E-12  35    0
 18.0 0.20236037E-08 0.20252943E-08 .260E-03 .835E-03 .260E-03 .527E-12 .169E-11  39    0
 18.5 0.12097144E-08 0.12116893E-08 .128E-02 .163E-02 .128E-02 .154E-11 .197E-11  37    0
 19.0 0.72646324E-09 0.72519217E-09 .100E-06 .175E-02 .711E-15 .726E-16 .127E-11  37    0
 19.5 0.43250623E-09 0.43417555E-09 .228E-02 .384E-02 .228E-02 .985E-12 .167E-11  33    0
 20.0 0.26329906E-09 0.26002819E-09 .916E-02 .126E-01 .916E-02 .241E-11 .327E-11  31    0
 30.0 0.30590063E-11 0.96389556E-14 .222E+00 .316E+03 .222E+00 .680E-12 .305E-11  59    0
 35.0 -.29635466E-12 0.60129027E-16 .600E+01 .493E+04 .600E+01 .178E-11 .296E-12  25    0
 40.0 -.52551197E-12 0.37897956E-18 .150E+01 .139E+07 .150E+01 .788E-12 .526E-12  31    0
 45.0 0.70808353E-12 0.24075046E-20 .333E+00 .294E+09 .333E+00 .236E-12 .708E-12  27    0
 50.0 -.42850376E-12 0.15389197E-22 .100E-06 .278E+11 .000E+00 .429E-19 .429E-12  33    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  25


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.28209479E+01 0.28209479E+01 .109E-06 .882E-09 .899E-08 .307E-06 .249E-08  25    0
  1.5 0.32246121E+01 0.32246121E+01 .119E-06 .559E-09 .189E-07 .383E-06 .180E-08  25    0
  2.0 0.35904805E+01 0.35904805E+01 .115E-06 .613E-09 .153E-07 .414E-06 .220E-08  25    0
  2.5 0.39250731E+01 0.39250731E+01 .113E-06 .801E-09 .130E-07 .444E-06 .315E-08  25    0
  3.0 0.42345551E+01 0.42345551E+01 .115E-06 .165E-09 .150E-07 .487E-06 .699E-09  25    0
  3.5 0.45235803E+01 0.45235803E+01 .116E-06 .786E-09 .155E-07 .523E-06 .356E-08  25    0
  4.0 0.47956115E+01 0.47956115E+01 .115E-06 .675E-09 .147E-07 .550E-06 .324E-08  25    0
  4.5 0.50532689E+01 0.50532689E+01 .115E-06 .197E-09 .151E-07 .582E-06 .997E-09  25    0
  5.0 0.52985783E+01 0.52985783E+01 .116E-06 .669E-09 .162E-07 .616E-06 .355E-08  25    0
  5.5 0.55331387E+01 0.55331387E+01 .116E-06 .714E-09 .156E-07 .639E-06 .395E-08  25    0
  6.0 0.57582358E+01 0.57582358E+01 .117E-06 .721E-09 .167E-07 .672E-06 .415E-08  25    0
  6.5 0.59749208E+01 0.59749208E+01 .118E-06 .375E-09 .175E-07 .702E-06 .224E-08  25    0
  7.0 0.61840649E+01 0.61840649E+01 .117E-06 .237E-09 .171E-07 .724E-06 .147E-08  25    0
  7.5 0.63864001E+01 0.63864001E+01 .117E-06 .508E-09 .167E-07 .745E-06 .325E-08  25    0
  8.0 0.65825476E+01 0.65825476E+01 .117E-06 .727E-09 .166E-07 .768E-06 .479E-08  25    0
  8.5 0.67730401E+01 0.67730401E+01 .116E-06 .222E-09 .162E-07 .787E-06 .151E-08  25    0
  9.0 0.69583382E+01 0.69583382E+01 .116E-06 .156E-09 .162E-07 .809E-06 .109E-08  25    0
  9.5 0.71388436E+01 0.71388436E+01 .116E-06 .171E-09 .163E-07 .830E-06 .122E-08  25    0
 10.0 0.73149089E+01 0.73149089E+01 .116E-06 .265E-09 .163E-07 .850E-06 .194E-08  25    0
 10.5 0.74868455E+01 0.74868455E+01 .118E-06 .479E-09 .179E-07 .883E-06 .359E-08  25    0
 11.0 0.76549302E+01 0.76549302E+01 .117E-06 .425E-09 .172E-07 .897E-06 .325E-08  25    0
 11.5 0.78194103E+01 0.78194103E+01 .117E-06 .322E-09 .171E-07 .915E-06 .252E-08  25    0
 12.0 0.79805077E+01 0.79805077E+01 .116E-06 .930E-10 .165E-07 .930E-06 .742E-09  25    0
 12.5 0.81384225E+01 0.81384225E+01 .117E-06 .882E-10 .171E-07 .953E-06 .718E-09  25    0
 13.0 0.82933359E+01 0.82933359E+01 .119E-06 .101E-08 .192E-07 .989E-06 .837E-08  25    0
 13.5 0.84454125E+01 0.84454125E+01 .117E-06 .797E-11 .169E-07 .987E-06 .673E-10  25    0
 14.0 0.85948025E+01 0.85948025E+01 .118E-06 .520E-09 .177E-07 .101E-05 .447E-08  25    0
 14.5 0.87416432E+01 0.87416432E+01 .119E-06 .790E-09 .187E-07 .104E-05 .690E-08  25    0
 15.0 0.88860606E+01 0.88860606E+01 .118E-06 .495E-09 .181E-07 .105E-05 .440E-08  25    0
 15.5 0.90281707E+01 0.90281707E+01 .118E-06 .489E-09 .179E-07 .106E-05 .442E-08  25    0
 16.0 0.91680807E+01 0.91680807E+01 .117E-06 .148E-09 .168E-07 .107E-05 .136E-08  25    0
 16.5 0.93058896E+01 0.93058896E+01 .117E-06 .202E-09 .174E-07 .109E-05 .188E-08  25    0
 17.0 0.94416891E+01 0.94416891E+01 .117E-06 .687E-10 .170E-07 .110E-05 .649E-09  25    0
 17.5 0.95755645E+01 0.95755645E+01 .117E-06 .382E-09 .169E-07 .112E-05 .366E-08  25    0
 18.0 0.97075955E+01 0.97075955E+01 .117E-06 .459E-09 .169E-07 .113E-05 .445E-08  25    0
 18.5 0.98378560E+01 0.98378560E+01 .118E-06 .407E-09 .182E-07 .116E-05 .400E-08  25    0
 19.0 0.99664155E+01 0.99664155E+01 .117E-06 .202E-09 .169E-07 .116E-05 .201E-08  25    0
 19.5 0.10093339E+02 0.10093339E+02 .118E-06 .310E-09 .182E-07 .119E-05 .312E-08  25    0
 20.0 0.10218687E+02 0.10218687E+02 .118E-06 .202E-09 .175E-07 .120E-05 .206E-08  25    0
 30.0 0.12463781E+02 0.12463781E+02 .117E-06 .626E-09 .174E-07 .146E-05 .780E-08  25    0
 35.0 0.13446528E+02 0.13446528E+02 .117E-06 .182E-09 .172E-07 .158E-05 .245E-08  25    0
 40.0 0.14362199E+02 0.14362199E+02 .117E-06 .365E-09 .173E-07 .168E-05 .524E-08  25    0
 45.0 0.15222900E+02 0.15222900E+02 .117E-06 .392E-09 .174E-07 .179E-05 .597E-08  25    0
 50.0 0.16037480E+02 0.16037480E+02 .118E-06 .384E-09 .179E-07 .189E-05 .615E-08  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  26


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.15058434E+00 0.15058434E+00 .105E-06 .207E-09 .472E-08 .158E-07 .312E-10  23    0
  1.5 0.44569459E+00 0.44569459E+00 .116E-06 .274E-09 .158E-07 .516E-07 .122E-09  23    0
  2.0 0.87079555E+00 0.87079555E+00 .140E-06 .400E-09 .401E-07 .122E-06 .348E-09  23    0
  2.5 0.13006656E+01 0.13006656E+01 .196E-06 .649E-09 .960E-07 .255E-06 .844E-09  23    0
  3.0 0.15555487E+01 0.15555487E+01 .124E-06 .207E-10 .236E-07 .192E-06 .322E-10  25    0
  3.5 0.14634076E+01 0.14634076E+01 .156E-06 .169E-10 .557E-07 .228E-06 .248E-10  25    0
  4.0 0.92888599E+00 0.92888599E+00 .107E-06 .347E-10 .732E-08 .997E-07 .322E-10  27    0
  4.5 -.14474510E-01 -.14474510E-01 .117E-06 .156E-08 .172E-07 .170E-08 .226E-10  29    0
  5.0 -.11886176E+01 -.11886176E+01 .115E-06 .978E-10 .151E-07 .137E-06 .116E-09  27    0
  5.5 -.23016120E+01 -.23016120E+01 .110E-06 .145E-09 .997E-08 .253E-06 .335E-09  27    0
  6.0 -.30202186E+01 -.30202186E+01 .105E-06 .309E-09 .535E-08 .318E-06 .933E-09  27    0
  6.5 -.30663498E+01 -.30663498E+01 .123E-06 .417E-09 .233E-07 .378E-06 .128E-08  27    0
  7.0 -.23101646E+01 -.23101646E+01 .118E-06 .452E-10 .184E-07 .274E-06 .104E-09  29    0
  7.5 -.83088245E+00 -.83088245E+00 .108E-06 .535E-11 .833E-08 .900E-07 .444E-11  31    0
  8.0 0.10766793E+01 0.10766793E+01 .113E-06 .559E-09 .127E-07 .121E-06 .602E-09  31    0
  8.5 0.29577941E+01 0.29577941E+01 .109E-06 .107E-09 .920E-08 .323E-06 .315E-09  31    0
  9.0 0.43061454E+01 0.43061454E+01 .112E-06 .106E-09 .125E-07 .484E-06 .455E-09  31    0
  9.5 0.46989922E+01 0.46989922E+01 .121E-06 .178E-09 .211E-07 .569E-06 .837E-09  31    0
 10.0 0.39233471E+01 0.39233471E+01 .146E-06 .674E-10 .456E-07 .571E-06 .265E-09  31    0
 10.5 0.20567210E+01 0.20567210E+01 .103E-06 .256E-10 .299E-08 .212E-06 .526E-10  33    0
 11.0 -.52433644E+00 -.52433644E+00 .104E-06 .221E-08 .420E-08 .546E-07 .116E-08  33    0
 11.5 -.32167285E+01 -.32167285E+01 .108E-06 .273E-09 .773E-08 .347E-06 .877E-09  33    0
 12.0 -.53314102E+01 -.53314102E+01 .149E-06 .327E-08 .485E-07 .792E-06 .174E-07  31    0
 12.5 -.62694002E+01 -.62694002E+01 .149E-06 .112E-09 .485E-07 .931E-06 .700E-09  33    0
 13.0 -.56883206E+01 -.56883206E+01 .112E-06 .304E-10 .123E-07 .639E-06 .173E-09  35    0
 13.5 -.36138223E+01 -.36138223E+01 .143E-06 .213E-09 .433E-07 .518E-06 .771E-09  35    0
 14.0 -.46185685E+00 -.46185685E+00 .164E-06 .259E-10 .636E-07 .756E-07 .120E-10  37    0
 14.5 0.30406485E+01 0.30406485E+01 .113E-06 .699E-09 .130E-07 .344E-06 .212E-08  37    0
 15.0 0.60228033E+01 0.60228033E+01 .116E-06 .106E-10 .163E-07 .700E-06 .639E-10  37    0
 15.5 0.76862481E+01 0.76862481E+01 .119E-06 .654E-10 .190E-07 .914E-06 .503E-09  37    0
 16.0 0.75173242E+01 0.75173242E+01 .160E-06 .775E-09 .596E-07 .120E-05 .583E-08  37    0
 16.5 0.54388831E+01 0.54388831E+01 .108E-06 .247E-10 .762E-08 .585E-06 .135E-09  39    0
 17.0 0.18581896E+01 0.18581896E+01 .124E-06 .678E-10 .236E-07 .230E-06 .126E-09  39    0
 17.5 -.24079127E+01 -.24079127E+01 .153E-06 .703E-09 .526E-07 .367E-06 .169E-08  39    0
 18.0 -.63183440E+01 -.63183440E+01 .183E-06 .539E-08 .826E-07 .115E-05 .340E-07  37    0
 18.5 -.88618456E+01 -.88618456E+01 .148E-06 .152E-08 .478E-07 .131E-05 .135E-07  39    0
 19.0 -.93177553E+01 -.93177553E+01 .127E-06 .994E-10 .266E-07 .118E-05 .927E-09  41    0
 19.5 -.74564260E+01 -.74564260E+01 .145E-06 .279E-09 .454E-07 .108E-05 .208E-08  41    0
 20.0 -.36243480E+01 -.36243480E+01 .117E-06 .535E-09 .174E-07 .425E-06 .194E-08  43    0
 30.0 -.28077876E+01 -.28077876E+01 .193E-06 .279E-08 .931E-07 .542E-06 .784E-08  53    0
 35.0 0.15600522E+02 0.15600522E+02 .100E-06 .138E-07 .000E+00 .156E-05 .215E-06  63    0
 40.0 0.13711371E+02 0.13711318E+02 .100E-06 .386E-05 .000E+00 .137E-05 .529E-04  65    0
 45.0 -.11394404E+02 -.11394293E+02 .100E-06 .977E-05 .000E+00 .114E-05 .111E-03  71    0
 50.0 -.24262485E+02 -.24255338E+02 .100E-06 .295E-03 .000E+00 .243E-05 .715E-02  79    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  27


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.26424112E+00 0.26424112E+00 .101E-06 .195E-10 .895E-09 .267E-07 .514E-11  25    0
  1.5 0.44217460E+00 0.44217460E+00 .103E-06 .737E-11 .307E-08 .456E-07 .326E-11  25    0
  2.0 0.59399415E+00 0.59399415E+00 .189E-06 .791E-09 .894E-07 .113E-06 .470E-09  23    0
  2.5 0.71270250E+00 0.71270250E+00 .157E-06 .900E-09 .575E-07 .112E-06 .641E-09  23    0
  3.0 0.80085173E+00 0.80085173E+00 .119E-06 .972E-09 .185E-07 .949E-07 .778E-09  23    0
  3.5 0.86411177E+00 0.86411177E+00 .154E-06 .910E-09 .538E-07 .133E-06 .786E-09  23    0
  4.0 0.90842180E+00 0.90842181E+00 .196E-06 .102E-08 .957E-07 .178E-06 .927E-09  23    0
  4.5 0.93890052E+00 0.93890052E+00 .119E-06 .213E-10 .189E-07 .112E-06 .200E-10  25    0
  5.0 0.95957232E+00 0.95957232E+00 .119E-06 .392E-09 .194E-07 .115E-06 .376E-09  25    0
  5.5 0.97343599E+00 0.97343599E+00 .120E-06 .501E-10 .203E-07 .117E-06 .488E-10  25    0
  6.0 0.98264873E+00 0.98264873E+00 .121E-06 .177E-09 .210E-07 .119E-06 .174E-09  25    0
  6.5 0.98872421E+00 0.98872421E+00 .121E-06 .957E-10 .208E-07 .119E-06 .946E-10  25    0
  7.0 0.99270494E+00 0.99270494E+00 .121E-06 .198E-09 .207E-07 .120E-06 .196E-09  25    0
  7.5 0.99529878E+00 0.99529878E+00 .121E-06 .675E-11 .208E-07 .120E-06 .672E-11  25    0
  8.0 0.99698084E+00 0.99698084E+00 .121E-06 .518E-10 .214E-07 .121E-06 .517E-10  25    0
  8.5 0.99806705E+00 0.99806705E+00 .121E-06 .622E-10 .213E-07 .121E-06 .621E-10  25    0
  9.0 0.99876590E+00 0.99876590E+00 .121E-06 .289E-09 .213E-07 .121E-06 .288E-09  25    0
  9.5 0.99921406E+00 0.99921406E+00 .121E-06 .257E-09 .211E-07 .121E-06 .257E-09  25    0
 10.0 0.99950060E+00 0.99950060E+00 .120E-06 .143E-09 .204E-07 .120E-06 .143E-09  25    0
 10.5 0.99968333E+00 0.99968333E+00 .121E-06 .218E-09 .213E-07 .121E-06 .218E-09  25    0
 11.0 0.99979958E+00 0.99979958E+00 .121E-06 .375E-10 .205E-07 .121E-06 .374E-10  25    0
 11.5 0.99987337E+00 0.99987337E+00 .121E-06 .393E-09 .211E-07 .121E-06 .393E-09  25    0
 12.0 0.99992013E+00 0.99992013E+00 .121E-06 .502E-09 .209E-07 .121E-06 .502E-09  25    0
 12.5 0.99994969E+00 0.99994969E+00 .120E-06 .183E-09 .204E-07 .120E-06 .183E-09  25    0
 13.0 0.99996836E+00 0.99996836E+00 .121E-06 .345E-10 .209E-07 .121E-06 .345E-10  25    0
 13.5 0.99998012E+00 0.99998012E+00 .121E-06 .380E-09 .208E-07 .121E-06 .380E-09  25    0
 14.0 0.99998753E+00 0.99998753E+00 .121E-06 .121E-09 .211E-07 .121E-06 .121E-09  25    0
 14.5 0.99999218E+00 0.99999218E+00 .120E-06 .484E-09 .199E-07 .120E-06 .484E-09  25    0
 15.0 0.99999511E+00 0.99999511E+00 .120E-06 .113E-10 .196E-07 .120E-06 .113E-10  25    0
 15.5 0.99999694E+00 0.99999694E+00 .120E-06 .624E-09 .197E-07 .120E-06 .624E-09  25    0
 16.0 0.99999809E+00 0.99999809E+00 .121E-06 .490E-09 .206E-07 .121E-06 .490E-09  25    0
 16.5 0.99999881E+00 0.99999881E+00 .120E-06 .145E-09 .199E-07 .120E-06 .145E-09  25    0
 17.0 0.99999926E+00 0.99999925E+00 .119E-06 .685E-09 .193E-07 .119E-06 .685E-09  25    0
 17.5 0.99999954E+00 0.99999954E+00 .120E-06 .284E-09 .196E-07 .120E-06 .284E-09  25    0
 18.0 0.99999971E+00 0.99999971E+00 .119E-06 .211E-09 .189E-07 .119E-06 .211E-09  25    0
 18.5 0.99999982E+00 0.99999982E+00 .119E-06 .380E-09 .189E-07 .119E-06 .380E-09  25    0
 19.0 0.99999989E+00 0.99999989E+00 .120E-06 .598E-09 .205E-07 .120E-06 .598E-09  25    0
 19.5 0.99999993E+00 0.99999993E+00 .119E-06 .114E-09 .188E-07 .119E-06 .114E-09  25    0
 20.0 0.99999996E+00 0.99999996E+00 .118E-06 .239E-09 .185E-07 .118E-06 .239E-09  25    0
 30.0 0.10000000E+01 0.10000000E+01 .118E-06 .691E-09 .176E-07 .118E-06 .691E-09  25    0
 35.0 0.10000000E+01 0.10000000E+01 .118E-06 .637E-09 .180E-07 .118E-06 .637E-09  25    0
 40.0 0.10000000E+01 0.10000000E+01 .116E-06 .798E-09 .160E-07 .116E-06 .798E-09  25    0
 45.0 0.10000000E+01 0.10000000E+01 .115E-06 .870E-09 .153E-07 .115E-06 .870E-09  25    0
 50.0 0.10000000E+01 0.10000000E+01 .116E-06 .433E-09 .158E-07 .116E-06 .433E-09  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  28


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.56826684E+00 0.56826684E+00 .161E-06 .272E-10 .612E-07 .916E-07 .155E-10  23    0
  1.5 0.16730541E+01 0.16730541E+01 .201E-06 .159E-08 .101E-06 .337E-06 .267E-08  21    0
  2.0 0.45667336E+01 0.45667336E+01 .105E-06 .344E-10 .539E-08 .481E-06 .157E-09  23    0
  2.5 0.12381308E+02 0.12381308E+02 .200E-06 .151E-09 .998E-07 .247E-05 .187E-08  21    0
  3.0 0.33623498E+02 0.33623498E+02 .138E-06 .954E-10 .382E-07 .465E-05 .321E-08  21    0
  3.5 0.91384597E+02 0.91384597E+02 .105E-06 .588E-09 .481E-08 .958E-05 .537E-07  21    0
  4.0 0.24841036E+03 0.24841036E+03 .103E-06 .328E-07 .282E-08 .255E-04 .815E-05  21    0
  4.5 0.67525668E+03 0.67525534E+03 .147E-06 .198E-05 .468E-07 .992E-04 .134E-02  19    0
  5.0 0.18357583E+04 0.18355385E+04 .118E-06 .120E-03 .180E-07 .217E-03 .220E+00  19    0
  5.5 0.50258087E+04 0.49895122E+04 .204E-06 .727E-02 .104E-06 .102E-02 .363E+02  17    0
  6.0 0.24038254E+05 0.13562900E+05 .123E-06 .772E+00 .225E-07 .295E-02 .105E+05  17    0
  6.5 -.14575125E+04 0.36867783E+05 .194E-06 .104E+01 .938E-07 .282E-03 .383E+05  19    0
  7.0 -.63202584E+02 0.10021702E+06 .113E-06 .100E+01 .131E-07 .715E-05 .100E+06  23    0
  7.5 -.28455355E+01 0.27241811E+06 .109E-06 .100E+01 .876E-08 .309E-06 .272E+06  25    0
  8.0 -.12823869E+00 0.74050921E+06 .130E-06 .100E+01 .302E-07 .167E-07 .741E+06  27    0
  8.5 -.57897183E-02 0.20129127E+07 .118E-06 .100E+01 .175E-07 .680E-09 .201E+07  31    0
  9.0 -.25205416E-03 0.54716641E+07 .115E-06 .100E+01 .153E-07 .291E-10 .547E+07  33    0
  9.5 0.19645184E-06 0.14873525E+08 .941E-06 .100E+01 .841E-06 .185E-12 .149E+08  41    0
 10.0 0.58613634E-05 0.40430433E+08 .180E-06 .100E+01 .797E-07 .105E-11 .404E+08  43    0
 10.5 0.61401770E-06 0.10990131E+09 .130E-05 .100E+01 .120E-05 .798E-12 .110E+09  43    0
 11.0 -.18503217E-05 0.29874274E+09 .175E-06 .100E+01 .755E-07 .325E-12 .299E+09  45    0
 11.5 -.16879950E-05 0.81206695E+09 .100E-06 .100E+01 .000E+00 .169E-12 .812E+09  49    0
 12.0 -.64624670E-06 0.22074268E+10 .296E-06 .100E+01 .196E-06 .191E-12 .221E+10  55    0
 12.5 0.11308133E-06 0.60004083E+10 .100E-06 .100E+01 .000E+00 .113E-13 .600E+10  55    0
 13.0 0.32660976E-06 0.16310801E+11 .455E-06 .100E+01 .355E-06 .149E-12 .163E+11  55    0
 13.5 0.21508086E-06 0.44337353E+11 .113E-05 .100E+01 .103E-05 .244E-12 .443E+11  51    0
 14.0 0.48877041E-07 0.12052142E+12 .766E-04 .100E+01 .765E-04 .375E-11 .121E+12  47    0
 14.5 -.40711777E-07 0.32761119E+12 .100E-06 .100E+01 .000E+00 .407E-14 .328E+12  57    0
 15.0 -.49975673E-07 0.89053955E+12 .209E-05 .100E+01 .199E-05 .104E-12 .891E+12  51    0
 15.5 -.24297926E-07 0.24207375E+13 .809E-03 .100E+01 .809E-03 .197E-10 .242E+13  51    0
 16.0 -.71091326E-09 0.65802467E+13 .189E-02 .100E+01 .189E-02 .134E-11 .658E+13  55    0
 16.5 0.83810149E-08 0.17886965E+14 .193E-03 .100E+01 .193E-03 .162E-11 .179E+14  49    0
 17.0 0.68478772E-08 0.48621812E+14 .128E-04 .100E+01 .127E-04 .877E-13 .486E+14  59    0
 17.5 0.22979195E-08 0.13216779E+15 .736E-04 .100E+01 .735E-04 .169E-12 .132E+15  59    0
 18.0 -.71244878E-09 0.35926930E+15 .173E-03 .100E+01 .173E-03 .123E-12 .359E+15  57    0
 18.5 -.14058690E-08 0.97659520E+15 .100E-06 .100E+01 .000E+00 .141E-15 .977E+15  63    0
 19.0 -.84195145E-09 0.26546610E+16 .111E-01 .100E+01 .111E-01 .934E-11 .265E+16  51    0
 19.5 -.14535093E-09 0.72161167E+16 .100E-06 .100E+01 .000E+00 .145E-16 .722E+16  69    0
 20.0 0.19661058E-09 0.19615439E+17 .636E-02 .100E+01 .636E-02 .125E-11 .196E+17  61    0
 30.0 0.48693692E-13 0.95167282E+25 .100E+01 .100E+01 .100E+01 .487E-13 .952E+25  41    0
 35.0 0.12508194E-12 0.20961989E+30 .333E+00 .100E+01 .333E+00 .417E-13 .210E+30  27    0
 40.0 0.72921727E-13 0.46171853E+34 .500E+00 .100E+01 .500E+00 .365E-13 .462E+34  27    0
 45.0 -.48597266E-13 0.10170027E+39 .100E-06 .100E+01 .000E+00 .486E-20 .102E+39  27    0
 50.0 0.11660701E-12 0.22400976E+43 .250E+00 .100E+01 .250E+00 .292E-13 .224E+43  23    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  29


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 -.19128983E+01 -.19128983E+01 .174E-06 .394E-08 .738E-07 .450E-07 .753E-08  27    0
  1.5 -.14143063E+01 -.14143063E+01 .286E-06 .127E-08 .186E-06 .202E-07 .180E-08  27    0
  2.0 -.23749679E+00 -.23749678E+00 .215E-06 .193E-07 .115E-06 .934E-09 .457E-08  33    0
  2.5 0.86784465E+00 0.86784464E+00 .170E-06 .931E-08 .705E-07 .997E-09 .808E-08  35    0
  3.0 0.13001085E+01 0.13001085E+01 .198E-06 .701E-08 .979E-07 .638E-09 .912E-08  37    0
  3.5 0.96591938E+00 0.96591940E+00 .163E-06 .110E-07 .632E-07 .144E-09 .107E-07  39    0
  4.0 0.25407169E+00 0.25407179E+00 .144E-06 .391E-06 .441E-07 .123E-10 .994E-07  41    0
  4.5 -.31125959E+00 -.31125976E+00 .143E-06 .540E-06 .430E-07 .549E-11 .168E-06  53    0
  5.0 -.44909358E+00 -.44909349E+00 .220E-06 .201E-06 .120E-06 .448E-11 .902E-07  55    0
  5.5 -.25608897E+00 -.25608876E+00 .287E-06 .847E-06 .187E-06 .123E-11 .217E-06  59    0
  6.0 -.38772263E-01 -.38772109E-01 .502E-05 .397E-05 .492E-05 .120E-11 .154E-06  53    0
  6.5 -.21270705E-01 -.21274106E-01 .160E-04 .160E-03 .159E-04 .768E-12 .340E-05  61    0
  7.0 -.17634886E+00 -.17633287E+00 .518E-05 .907E-04 .508E-05 .760E-12 .160E-04  63    0
  7.5 -.29499616E+00 -.29501953E+00 .363E-04 .792E-04 .362E-04 .328E-11 .234E-04 105    0
  8.0 -.20302636E+00 -.20303986E+00 .311E-04 .665E-04 .310E-04 .711E-12 .135E-04  47    0
  8.5 0.76963486E-01 0.76905545E-01 .108E-03 .753E-03 .108E-03 .345E-12 .579E-04  53    0
  9.0 0.34757739E+00 0.34921044E+00 .381E-03 .468E-02 .381E-03 .202E-11 .163E-02 119    0
  9.5 0.41954494E+00 0.41807932E+00 .419E-03 .351E-02 .418E-03 .984E-12 .147E-02  51    0
 10.0 0.24995647E+00 0.24943072E+00 .620E-03 .211E-02 .620E-03 .320E-12 .526E-03  71    0
 10.5 -.15207291E-01 -.13750920E-01 .270E-01 .106E+00 .270E-01 .312E-12 .146E-02  51    0
 11.0 -.19070855E+00 -.18261573E+00 .571E-02 .443E-01 .571E-02 .304E-12 .809E-02  61    0
 11.5 -.15608229E+00 -.17671961E+00 .926E-01 .117E+00 .926E-01 .148E-11 .206E-01  49    0
 12.0 -.24541070E+00 -.69945825E-01 .938E-01 .251E+01 .938E-01 .869E-12 .175E+00  53    0
 12.5 0.81423502E-01 -.10552748E-02 .250E+00 .782E+02 .250E+00 .283E-12 .825E-01  53    0
 13.0 -.21620355E+00 -.40081148E-01 .750E+00 .439E+01 .750E+00 .828E-12 .176E+00  53    0
 13.5 -.27279624E+01 -.13141622E+00 .526E-01 .198E+02 .526E-01 .270E-12 .260E+01  53    0
 14.0 -.76307324E+00 -.15704901E+00 .100E-06 .386E+01 .000E+00 .528E-19 .606E+00  49    0
 14.5 0.38542530E+02 -.54225278E-01 .316E+00 .712E+03 .316E+00 .310E-11 .386E+02  35    0
 15.0 0.53947895E+01 0.12185858E+00 .400E+01 .433E+02 .400E+01 .202E-11 .527E+01  43    0
 15.5 -.14352506E+03 0.24428333E+00 .500E-01 .589E+03 .500E-01 .247E-12 .144E+03  29    0
 16.0 0.19099137E+02 0.22398536E+00 .100E+01 .843E+02 .100E+01 .242E-12 .189E+02  51    0
 16.5 0.50849826E+02 0.83529735E-01 .430E+02 .608E+03 .430E+02 .102E-10 .508E+02  27    0
 17.0 -.37920994E+04 -.67459640E-01 .243E+01 .562E+05 .243E+01 .158E-10 .379E+04  25    0
 17.5 0.79383388E+04 -.12835796E+00 .136E+00 .618E+05 .136E+00 .683E-12 .794E+04  43    0
 18.0 -.57702276E+04 -.87586711E-01 .167E+00 .659E+05 .167E+00 .223E-12 .577E+04  33    0
 18.5 -.51280507E+04 -.18822794E-01 .300E+01 .272E+06 .300E+01 .131E-11 .513E+04  39    0
 19.0 0.13676506E+05 -.35401025E-02 .500E+00 .386E+07 .500E+00 .215E-12 .137E+05  41    0
 19.5 0.12770403E+06 -.54274055E-01 .200E+01 .235E+07 .200E+01 .295E-11 .128E+06  41    0
 20.0 0.77897395E+06 -.10750201E+00 .125E+00 .725E+07 .125E+00 .414E-12 .779E+06  41    0
 30.0 0.48296839E+15 -.73777629E-01 .213E+01 .655E+16 .213E+01 .899E-11 .483E+15  17    0
 35.0 0.33439723E+18 0.87829223E-01 .100E+01 .381E+19 .100E+01 .133E-12 .334E+18  25    0
 40.0 0.65750875E+23 0.27827541E-01 .100E+00 .236E+25 .100E+00 .119E-12 .658E+23  21    0
 45.0 0.15691519E+28 -.43262027E-01 .333E+00 .363E+29 .333E+00 .429E-12 .157E+28  19    0
 50.0 -.23624731E+32 -.41058862E-02 .100E-06 .575E+34 .000E+00 .879E-19 .236E+32  27    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  30


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.63212056E+00 0.63212056E+00 .184E-06 .535E-08 .836E-07 .116E-06 .338E-08  25    0
  1.5 0.51791323E+00 0.51791323E+00 .139E-06 .192E-08 .385E-07 .717E-07 .994E-09  25    0
  2.0 0.43233236E+00 0.43233236E+00 .121E-06 .451E-09 .213E-07 .524E-07 .195E-09  25    0
  2.5 0.36716600E+00 0.36716600E+00 .116E-06 .264E-08 .155E-07 .424E-07 .970E-09  25    0
  3.0 0.31673764E+00 0.31673764E+00 .168E-06 .308E-08 .678E-07 .532E-07 .975E-09  25    0
  3.5 0.27708646E+00 0.27708646E+00 .126E-06 .161E-08 .255E-07 .348E-07 .447E-09  25    0
  4.0 0.24542109E+00 0.24542109E+00 .157E-06 .122E-08 .570E-07 .385E-07 .300E-09  25    0
  4.5 0.21975356E+00 0.21975356E+00 .158E-06 .296E-08 .583E-07 .348E-07 .650E-09  25    0
  5.0 0.19865240E+00 0.19865241E+00 .192E-06 .299E-07 .917E-07 .381E-07 .593E-08  23    0
  5.5 0.18107513E+00 0.18107513E+00 .198E-06 .187E-07 .978E-07 .358E-07 .338E-08  23    0
  6.0 0.16625354E+00 0.16625354E+00 .177E-06 .768E-08 .767E-07 .294E-07 .128E-08  23    0
  6.5 0.15361485E+00 0.15361486E+00 .148E-06 .274E-07 .477E-07 .227E-07 .421E-08  23    0
  7.0 0.14272687E+00 0.14272687E+00 .148E-06 .341E-07 .480E-07 .211E-07 .487E-08  23    0
  7.5 0.13325959E+00 0.13325959E+00 .161E-06 .144E-07 .606E-07 .214E-07 .191E-08  23    0
  8.0 0.12495807E+00 0.12495807E+00 .240E-06 .265E-08 .140E-06 .300E-07 .331E-09  23    0
  8.5 0.11762312E+00 0.11762312E+00 .162E-06 .138E-07 .624E-07 .191E-07 .162E-08  23    0
  9.0 0.11109740E+00 0.11109740E+00 .170E-06 .772E-08 .705E-07 .189E-07 .858E-09  23    0
  9.5 0.10525528E+00 0.10525528E+00 .216E-06 .132E-07 .116E-06 .228E-07 .139E-08  23    0
 10.0 0.99995460E-01 0.99995460E-01 .104E-06 .410E-11 .385E-08 .104E-07 .410E-12  29    0
 10.5 0.95235473E-01 0.95235473E-01 .236E-06 .123E-08 .136E-06 .224E-07 .117E-09  25    0
 11.0 0.90907570E-01 0.90907573E-01 .216E-06 .259E-07 .116E-06 .197E-07 .235E-08  23    0
 11.5 0.86955644E-01 0.86955641E-01 .245E-06 .312E-07 .145E-06 .213E-07 .271E-08  23    0
 12.0 0.83332821E-01 0.83332821E-01 .232E-06 .167E-08 .132E-06 .193E-07 .139E-09  23    0
 12.5 0.79999702E-01 0.79999702E-01 .211E-06 .237E-08 .111E-06 .169E-07 .189E-09  25    0
 13.0 0.76922903E-01 0.76922903E-01 .193E-06 .900E-09 .934E-07 .149E-07 .692E-10  25    0
 13.5 0.74073972E-01 0.74073973E-01 .107E-06 .301E-08 .674E-08 .791E-08 .223E-09  25    0
 14.0 0.71428512E-01 0.71428512E-01 .131E-06 .328E-08 .306E-07 .933E-08 .234E-09  25    0
 14.5 0.68965482E-01 0.68965482E-01 .133E-06 .142E-08 .332E-07 .919E-08 .976E-10  25    0
 15.0 0.66666646E-01 0.66666646E-01 .138E-06 .862E-08 .380E-07 .920E-08 .575E-09  25    0
 15.5 0.64516117E-01 0.64516117E-01 .177E-06 .459E-08 .770E-07 .114E-07 .296E-09  25    0
 16.0 0.62499993E-01 0.62499993E-01 .137E-06 .570E-08 .373E-07 .858E-08 .356E-09  25    0
 16.5 0.60606057E-01 0.60606056E-01 .194E-06 .790E-08 .938E-07 .117E-07 .479E-09  25    0
 17.0 0.58823527E-01 0.58823527E-01 .139E-06 .184E-08 .387E-07 .816E-08 .109E-09  25    0
 17.5 0.57142856E-01 0.57142856E-01 .208E-06 .129E-08 .108E-06 .119E-07 .736E-10  25    0
 18.0 0.55555555E-01 0.55555555E-01 .107E-06 .132E-08 .661E-08 .592E-08 .732E-10  25    0
 18.5 0.54054054E-01 0.54054054E-01 .195E-06 .313E-08 .949E-07 .105E-07 .169E-09  25    0
 19.0 0.52631579E-01 0.52631579E-01 .133E-06 .210E-08 .326E-07 .698E-08 .111E-09  25    0
 19.5 0.51282051E-01 0.51282051E-01 .139E-06 .630E-08 .390E-07 .713E-08 .323E-09  25    0
 20.0 0.50000000E-01 0.50000000E-01 .166E-06 .140E-09 .661E-07 .830E-08 .701E-11  25    0
 30.0 0.33333333E-01 0.33333333E-01 .154E-06 .363E-08 .539E-07 .513E-08 .121E-09  25    0
 35.0 0.28571429E-01 0.28571429E-01 .144E-06 .120E-09 .444E-07 .413E-08 .344E-11  25    0
 40.0 0.25000000E-01 0.25000000E-01 .183E-06 .418E-08 .834E-07 .458E-08 .104E-09  25    0
 45.0 0.22222222E-01 0.22222222E-01 .103E-06 .197E-09 .258E-08 .228E-08 .439E-11  29    0
 50.0 0.20000000E-01 0.20000000E-01 .145E-06 .257E-08 .447E-07 .289E-08 .514E-10  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  31


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 -.57721566E+00 -.57721560E+00 .106E-06 .112E-06 .647E-08 .615E-07 .648E-07  27    0
  1.5 -.98268077E+00 -.98268071E+00 .191E-06 .680E-07 .906E-07 .187E-06 .668E-07  25    0
  2.0 -.12703628E+01 -.12703628E+01 .171E-06 .519E-07 .713E-07 .218E-06 .660E-07  25    0
  2.5 -.14935064E+01 -.14935063E+01 .155E-06 .445E-07 .552E-07 .232E-06 .664E-07  25    0
  3.0 -.16758280E+01 -.16758279E+01 .149E-06 .403E-07 .491E-07 .250E-06 .676E-07  25    0
  3.5 -.18299786E+01 -.18299786E+01 .142E-06 .370E-07 .424E-07 .261E-06 .676E-07  25    0
  4.0 -.19635100E+01 -.19635100E+01 .144E-06 .314E-07 .442E-07 .283E-06 .617E-07  25    0
  4.5 -.20812931E+01 -.20812930E+01 .138E-06 .336E-07 .384E-07 .288E-06 .698E-07  25    0
  5.0 -.21866536E+01 -.21866535E+01 .138E-06 .294E-07 .383E-07 .302E-06 .643E-07  25    0
  5.5 -.22819638E+01 -.22819637E+01 .138E-06 .278E-07 .375E-07 .314E-06 .635E-07  25    0
  6.0 -.23689751E+01 -.23689751E+01 .136E-06 .276E-07 .357E-07 .322E-06 .653E-07  25    0
  6.5 -.24490178E+01 -.24490178E+01 .133E-06 .283E-07 .327E-07 .325E-06 .694E-07  25    0
  7.0 -.25231258E+01 -.25231257E+01 .133E-06 .265E-07 .333E-07 .336E-06 .670E-07  25    0
  7.5 -.25921187E+01 -.25921186E+01 .133E-06 .252E-07 .330E-07 .345E-06 .654E-07  25    0
  8.0 -.26566572E+01 -.26566571E+01 .135E-06 .249E-07 .350E-07 .359E-06 .661E-07  25    0
  8.5 -.27172818E+01 -.27172818E+01 .130E-06 .253E-07 .300E-07 .353E-06 .686E-07  25    0
  9.0 -.27744402E+01 -.27744402E+01 .131E-06 .238E-07 .308E-07 .363E-06 .660E-07  25    0
  9.5 -.28285075E+01 -.28285074E+01 .131E-06 .234E-07 .306E-07 .370E-06 .662E-07  25    0
 10.0 -.28798008E+01 -.28798007E+01 .131E-06 .223E-07 .307E-07 .376E-06 .643E-07  25    0
 10.5 -.29285909E+01 -.29285909E+01 .131E-06 .230E-07 .309E-07 .383E-06 .674E-07  25    0
 11.0 -.29751109E+01 -.29751109E+01 .129E-06 .225E-07 .289E-07 .384E-06 .671E-07  25    0
 11.5 -.30195627E+01 -.30195626E+01 .131E-06 .222E-07 .308E-07 .395E-06 .670E-07  25    0
 12.0 -.30621223E+01 -.30621222E+01 .129E-06 .222E-07 .293E-07 .396E-06 .680E-07  25    0
 12.5 -.31029443E+01 -.31029442E+01 .130E-06 .204E-07 .302E-07 .404E-06 .632E-07  25    0
 13.0 -.31421650E+01 -.31421650E+01 .129E-06 .215E-07 .289E-07 .405E-06 .677E-07  25    0
 13.5 -.31799054E+01 -.31799053E+01 .128E-06 .205E-07 .283E-07 .408E-06 .651E-07  25    0
 14.0 -.32162730E+01 -.32162729E+01 .128E-06 .208E-07 .280E-07 .412E-06 .670E-07  25    0
 14.5 -.32513643E+01 -.32513642E+01 .129E-06 .202E-07 .288E-07 .419E-06 .656E-07  25    0
 15.0 -.32852659E+01 -.32852658E+01 .128E-06 .209E-07 .282E-07 .421E-06 .686E-07  25    0
 15.5 -.33180557E+01 -.33180556E+01 .128E-06 .205E-07 .285E-07 .426E-06 .680E-07  25    0
 16.0 -.33498044E+01 -.33498043E+01 .129E-06 .187E-07 .287E-07 .431E-06 .626E-07  25    0
 16.5 -.33805760E+01 -.33805760E+01 .128E-06 .195E-07 .276E-07 .431E-06 .660E-07  25    0
 17.0 -.34104290E+01 -.34104289E+01 .126E-06 .195E-07 .261E-07 .430E-06 .666E-07  25    0
 17.5 -.34394165E+01 -.34394165E+01 .127E-06 .197E-07 .272E-07 .437E-06 .678E-07  25    0
 18.0 -.34675874E+01 -.34675874E+01 .126E-06 .193E-07 .256E-07 .436E-06 .671E-07  25    0
 18.5 -.34949864E+01 -.34949863E+01 .127E-06 .191E-07 .269E-07 .444E-06 .667E-07  25    0
 19.0 -.35216546E+01 -.35216546E+01 .125E-06 .189E-07 .255E-07 .442E-06 .664E-07  25    0
 19.5 -.35476301E+01 -.35476301E+01 .125E-06 .190E-07 .253E-07 .444E-06 .673E-07  25    0
 20.0 -.35729479E+01 -.35729479E+01 .127E-06 .189E-07 .266E-07 .453E-06 .674E-07  25    0
 30.0 -.39784130E+01 -.39784130E+01 .124E-06 .164E-07 .236E-07 .492E-06 .652E-07  25    0
 35.0 -.41325637E+01 -.41325637E+01 .123E-06 .163E-07 .230E-07 .508E-06 .672E-07  25    0
 40.0 -.42660951E+01 -.42660951E+01 .122E-06 .159E-07 .223E-07 .522E-06 .679E-07  25    0
 45.0 -.43838782E+01 -.43838781E+01 .122E-06 .147E-07 .218E-07 .534E-06 .643E-07  25    0
 50.0 -.44892387E+01 -.44892386E+01 .122E-06 .139E-07 .223E-07 .549E-06 .626E-07  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  32


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.99991504E+00 0.10000000E+01 .144E-06 .850E-04 .437E-07 .144E-06 .850E-04 467    0
  1.5 0.10000000E+01 0.10000000E+01 .208E-06 .164E-09 .108E-06 .208E-06 .164E-09  31    0
  2.0 0.10000000E+01 0.10000000E+01 .126E-06 .261E-09 .257E-07 .126E-06 .261E-09  29    0
  2.5 0.10000000E+01 0.10000000E+01 .152E-06 .221E-08 .525E-07 .152E-06 .221E-08  27    0
  3.0 0.10000000E+01 0.10000000E+01 .110E-06 .490E-09 .104E-07 .110E-06 .490E-09  27    0
  3.5 0.10000000E+01 0.10000000E+01 .106E-06 .123E-08 .607E-08 .106E-06 .123E-08  27    0
  4.0 0.10000000E+01 0.10000000E+01 .108E-06 .402E-10 .821E-08 .108E-06 .402E-10  27    0
  4.5 0.10000000E+01 0.10000000E+01 .106E-06 .331E-09 .574E-08 .106E-06 .331E-09  27    0
  5.0 0.10000000E+01 0.10000000E+01 .106E-06 .563E-09 .590E-08 .106E-06 .563E-09  27    0
  5.5 0.10000000E+01 0.10000000E+01 .103E-06 .208E-09 .324E-08 .103E-06 .208E-09  27    0
  6.0 0.10000000E+01 0.10000000E+01 .103E-06 .222E-09 .273E-08 .103E-06 .222E-09  27    0
  6.5 0.10000000E+01 0.10000000E+01 .104E-06 .210E-09 .421E-08 .104E-06 .210E-09  27    0
  7.0 0.10000000E+01 0.10000000E+01 .172E-06 .953E-09 .721E-07 .172E-06 .953E-09  25    0
  7.5 0.10000000E+01 0.10000000E+01 .157E-06 .262E-09 .572E-07 .157E-06 .262E-09  25    0
  8.0 0.10000000E+01 0.10000000E+01 .151E-06 .176E-08 .512E-07 .151E-06 .176E-08  25    0
  8.5 0.10000000E+01 0.10000000E+01 .146E-06 .118E-08 .455E-07 .146E-06 .118E-08  25    0
  9.0 0.10000000E+01 0.10000000E+01 .139E-06 .192E-09 .393E-07 .139E-06 .192E-09  25    0
  9.5 0.10000000E+01 0.10000000E+01 .133E-06 .878E-09 .334E-07 .133E-06 .878E-09  25    0
 10.0 0.10000000E+01 0.10000000E+01 .127E-06 .103E-08 .269E-07 .127E-06 .103E-08  25    0
 10.5 0.10000000E+01 0.10000000E+01 .119E-06 .581E-09 .192E-07 .119E-06 .581E-09  25    0
 11.0 0.10000000E+01 0.10000000E+01 .107E-06 .272E-08 .734E-08 .107E-06 .272E-08  25    0
 11.5 0.10000000E+01 0.10000000E+01 .104E-06 .148E-08 .450E-08 .104E-06 .148E-08  25    0
 12.0 0.10000000E+01 0.10000000E+01 .107E-06 .719E-09 .692E-08 .107E-06 .719E-09  25    0
 12.5 0.10000000E+01 0.10000000E+01 .105E-06 .132E-08 .466E-08 .105E-06 .132E-08  25    0
 13.0 0.10000000E+01 0.10000000E+01 .102E-06 .146E-08 .239E-08 .102E-06 .146E-08  25    0
 13.5 0.10000000E+01 0.10000000E+01 .108E-06 .606E-09 .781E-08 .108E-06 .606E-09  25    0
 14.0 0.10000000E+01 0.10000000E+01 .110E-06 .552E-09 .998E-08 .110E-06 .552E-09  25    0
 14.5 0.10000000E+01 0.10000000E+01 .114E-06 .910E-09 .136E-07 .114E-06 .910E-09  25    0
 15.0 0.10000000E+01 0.10000000E+01 .113E-06 .327E-09 .135E-07 .113E-06 .327E-09  25    0
 15.5 0.10000000E+01 0.10000000E+01 .114E-06 .974E-10 .136E-07 .114E-06 .974E-10  25    0
 16.0 0.10000000E+01 0.10000000E+01 .115E-06 .598E-09 .145E-07 .115E-06 .598E-09  25    0
 16.5 0.10000000E+01 0.10000000E+01 .116E-06 .242E-09 .160E-07 .116E-06 .242E-09  25    0
 17.0 0.10000000E+01 0.10000000E+01 .118E-06 .155E-09 .177E-07 .118E-06 .155E-09  25    0
 17.5 0.10000000E+01 0.10000000E+01 .120E-06 .336E-09 .196E-07 .120E-06 .336E-09  25    0
 18.0 0.10000000E+01 0.10000000E+01 .117E-06 .416E-09 .166E-07 .117E-06 .416E-09  25    0
 18.5 0.10000000E+01 0.10000000E+01 .117E-06 .542E-09 .170E-07 .117E-06 .542E-09  25    0
 19.0 0.10000000E+01 0.10000000E+01 .118E-06 .456E-10 .178E-07 .118E-06 .456E-10  25    0
 19.5 0.10000000E+01 0.10000000E+01 .116E-06 .669E-09 .158E-07 .116E-06 .669E-09  25    0
 20.0 0.10000000E+01 0.10000000E+01 .117E-06 .141E-09 .174E-07 .117E-06 .141E-09  25    0
 30.0 0.10000000E+01 0.10000000E+01 .112E-06 .437E-09 .120E-07 .112E-06 .437E-09  25    0
 35.0 0.10000000E+01 0.10000000E+01 .111E-06 .409E-09 .110E-07 .111E-06 .409E-09  25    0
 40.0 0.10000000E+01 0.10000000E+01 .111E-06 .353E-09 .111E-07 .111E-06 .353E-09  25    0
 45.0 0.10000000E+01 0.10000000E+01 .108E-06 .264E-08 .759E-08 .108E-06 .264E-08  25    0
 50.0 0.10000000E+01 0.10000000E+01 .112E-06 .796E-09 .119E-07 .112E-06 .796E-09  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  33


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************



 ERROR DETECTED , I =   1 IFAIL= -1
  1.5 0.10000000E+01 0.10000000E+01 .233E-06 .429E-07 .133E-06 .233E-06 .429E-07  69    0

 ERROR DETECTED , I =   3 IFAIL= -1
  2.5 0.23803729E-12 0.00000000E+00 .167E+00 .238E-12 .167E+00 .397E-13 .238E-12 157    0

 ERROR DETECTED , I =   5 IFAIL= -1
  3.5 0.99999990E+00 0.10000000E+01 .102E-06 .954E-07 .228E-08 .102E-06 .954E-07 139    0

 ERROR DETECTED , I =   7 IFAIL= -1
  4.5 0.30913081E-12 0.00000000E+00 .500E+00 .309E-12 .500E+00 .155E-12 .309E-12 279    0

 ERROR DETECTED , I =   9 IFAIL= -1
  5.5 0.10000004E+01 0.10000000E+01 .208E-06 .352E-06 .108E-06 .208E-06 .352E-06 203    0

 ERROR DETECTED , I =  11 IFAIL= -1
  6.5 0.40824785E-11 0.00000000E+00 .375E+00 .408E-11 .375E+00 .153E-11 .408E-11 395    0

 ERROR DETECTED , I =  13 IFAIL= -1
  7.5 0.10000001E+01 0.10000000E+01 .166E-06 .116E-06 .658E-07 .166E-06 .116E-06 289    0

 ERROR DETECTED , I =  15 IFAIL= -1

 ERROR DETECTED , I =  16 IFAIL= -1

 ERROR DETECTED , I =  17 IFAIL= -1
  9.5 0.10000035E+01 0.10000000E+01 .145E-06 .354E-05 .452E-07 .145E-06 .354E-05 289    0

 ERROR DETECTED , I =  19 IFAIL= -1

 ERROR DETECTED , I =  20 IFAIL= -1

 ERROR DETECTED , I =  21 IFAIL= -1
 11.5 0.10001191E+01 0.10000000E+01 .205E-06 .119E-03 .105E-06 .205E-06 .119E-03 259    0

 ERROR DETECTED , I =  23 IFAIL= -1

 ERROR DETECTED , I =  24 IFAIL= -1

 ERROR DETECTED , I =  25 IFAIL= -1
 13.5 0.99973027E+00 0.10000000E+01 .223E-06 .270E-03 .123E-06 .223E-06 .270E-03 343    0

 ERROR DETECTED , I =  27 IFAIL= -1

 ERROR DETECTED , I =  28 IFAIL= -1

 ERROR DETECTED , I =  29 IFAIL= -1
 15.5 0.11366197E+01 0.10000000E+01 .192E-06 .137E+00 .919E-07 .218E-06 .137E+00  89    0

 ERROR DETECTED , I =  31 IFAIL= -1

 ERROR DETECTED , I =  32 IFAIL= -1
 17.0 0.49999998E+00 0.50000000E+00 .225E-06 .307E-07 .125E-06 .113E-06 .154E-07  95    0
 17.5 0.50000000E+00 0.10000000E+01 .171E-06 .500E+00 .713E-07 .857E-07 .500E+00  31    0
 18.0 0.50000000E+00 0.50000000E+00 .197E-06 .515E-08 .968E-07 .984E-07 .257E-08  27    0
 18.5 0.49999999E+00 0.00000000E+00 .144E-06 .500E+00 .445E-07 .722E-07 .500E+00  33    0
 19.0 0.49999999E+00 0.50000000E+00 .150E-06 .117E-07 .495E-07 .748E-07 .583E-08  27    0
 19.5 0.50000000E+00 0.10000000E+01 .145E-06 .500E+00 .446E-07 .723E-07 .500E+00  27    0
 20.0 0.50000000E+00 0.50000000E+00 .125E-06 .835E-08 .249E-07 .624E-07 .417E-08  27    0
 30.0 0.50000000E+00 0.50000000E+00 .191E-06 .567E-08 .912E-07 .956E-07 .284E-08  25    0
 35.0 0.50000000E+00 0.50000000E+00 .188E-06 .589E-09 .877E-07 .939E-07 .295E-09  25    0
 40.0 0.50000000E+00 0.50000000E+00 .175E-06 .199E-08 .751E-07 .875E-07 .993E-09  25    0
 45.0 0.50000000E+00 0.50000000E+00 .157E-06 .157E-08 .570E-07 .785E-07 .786E-09  25    0
 50.0 0.50000000E+00 0.50000000E+00 .141E-06 .774E-09 .414E-07 .707E-07 .387E-09  25    0
 ******************************************************************************************

                          SUBROUTINE INVLTF
               NUMERICAL INVERSION OF A LAPLACE TRANSFORM:
                THIS VERSION USES BOTH REAL AND COMPLEX
                DOUBLE PRECISION OPERATIONS

 ******************************************************************************************

 TEST  FUNCTION :

 TEST FUNCTION ----->  34


 ABSCISSA OF CONVERGENCE  --->


 ABSCISSA OF CONVERGENCE  --->   0.0



 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

     THE T-VALUES AT WHICH THE INVERSE IS REQUIRED ARE T=1,20 STEP=0.5 AND T=20,100 STEP=10.

 <><><><><><><><><><><><><><><><><><><><><><><<><><><><><><><><><><><><><><><><><><><><><><

******************************************************************************************

                        OUTPUT

 T      : POINT AT WHICH THE INVERSE TRANSFORM IS COMPUTED;

 FEX    : EXACT VALUE OF THE INVERSE TRANSFORM;

 FCAL   : COMPUTED VALUE OF THE INVERSE TRANSFORM;

 ESTREL : ESTIMATED RELATIVE ERROR;

 RELERR : ACTUAL RELATIVE ERROR;

 ESTABS : ESTIMATED ABSOLUTE ERROR ;

 ABSERR : ACTUAL ABSOLUTE ERROR;

 N      : # OF FUNCTION EVALUATIONS;

 IFAIL  : = 0 NO INPUT ERRORS; SUCCESSFUL RUN    (ACCURACY REACHED AND IFZEVAL<NMAX),
          = 1 TOL >= 1,
          = 2 VALT LESS THAN ZERO,
          = -1 ACCURACY NOT REACHED AND IFZEVAL > NMAX;,
          = -2 THE CHOICE FOR SSBAR  MAY BE NOT OPTIMAL;
                  IN SUCH A CASE THE USER MAY SLIGHTLY
                  CHANGE THE DEFAULT VALUE;

******************************************************************************************



 TOLL -->   0.1000000E-05

**************************************************************************************
   T         FCAL         FEX         ESTREL   RELERR  TRUNERR  ESTABS   ABSERR   N  IFAIL
****************************************************************************************


  1.0 0.18393972E+00 0.54711886E+00 .265E-06 .664E+00 .165E-06 .487E-07 .363E+00  25    0
  1.5 0.36156510E+00 0.74374312E+00 .205E-06 .514E+00 .105E-06 .741E-07 .382E+00  35    0
  2.0 0.56752447E+00 0.86466403E+00 .139E-06 .344E+00 .394E-07 .791E-07 .297E+00 469    0
  2.5 0.39757314E+00 0.90108312E+00 .147E-06 .559E+00 .469E-07 .584E-07 .504E+00  51    0
  3.0 0.39277297E+00 0.93870920E+00 .110E-06 .582E+00 .954E-08 .430E-07 .546E+00  59    0
  3.5 0.48822875E+00 0.96531940E+00 .179E-06 .494E+00 .792E-07 .875E-07 .477E+00  69    0

 ERROR DETECTED , I =   7 IFAIL= -1
  4.5 0.44416997E+00 0.98661306E+00 .192E-06 .550E+00 .916E-07 .851E-07 .542E+00  83    0
  5.0 0.42103541E+00 0.99170519E+00 .256E-06 .575E+00 .156E-06 .108E-06 .571E+00  95    0
  5.5 0.50537093E+00 0.99530649E+00 .160E-06 .492E+00 .595E-07 .806E-07 .490E+00 117    0

 ERROR DETECTED , I =  11 IFAIL= -1
  6.5 0.45047633E+00 0.99818827E+00 .210E-06 .549E+00 .110E-06 .946E-07 .548E+00 133    0
  7.0 0.42486046E+00 0.99887742E+00 .168E-06 .575E+00 .679E-07 .713E-07 .574E+00 127    0
  7.5 0.50769082E+00 0.99936480E+00 .187E-06 .492E+00 .866E-07 .948E-07 .492E+00 139    0

 ERROR DETECTED , I =  15 IFAIL= -1
  8.5 0.45132976E+00 0.99975481E+00 .178E-06 .549E+00 .782E-07 .804E-07 .548E+00 173    0
  9.0 0.42537979E+00 0.99984808E+00 .195E-06 .575E+00 .947E-07 .828E-07 .574E+00 127    0
  9.5 0.50799931E+00 0.99991404E+00 .246E-06 .492E+00 .146E-06 .125E-06 .492E+00 137    0

 ERROR DETECTED , I =  19 IFAIL= -1
 10.5 0.45161686E+00 0.99996682E+00 .197E-06 .548E+00 .967E-07 .888E-07 .548E+00 103    0
 11.0 0.42544986E+00 0.99997944E+00 .171E-06 .575E+00 .709E-07 .727E-07 .575E+00 149    0
 11.5 0.50804175E+00 0.99998837E+00 .127E-06 .492E+00 .268E-07 .644E-07 .492E+00 159    0

 ERROR DETECTED , I =  23 IFAIL= -1
 12.5 0.45145802E+00 0.99999551E+00 .124E-06 .549E+00 .240E-07 .560E-07 .549E+00 171    0
 13.0 0.42551762E+00 0.99999722E+00 .222E-06 .574E+00 .122E-06 .945E-07 .574E+00 125    0
 13.5 0.50821271E+00 0.99999843E+00 .193E-06 .492E+00 .926E-07 .979E-07 .492E+00 129    0
 14.0 0.64951694E+00 0.99999917E+00 .138E-06 .350E+00 .375E-07 .893E-07 .350E+00 193    0
 14.5 0.45163429E+00 0.99999939E+00 .156E-06 .548E+00 .561E-07 .705E-07 .548E+00 141    0
 15.0 0.42755124E+00 0.99999962E+00 .250E-06 .572E+00 .150E-06 .107E-06 .572E+00  87    0
 15.5 0.50598608E+00 0.99999979E+00 .172E-06 .494E+00 .718E-07 .869E-07 .494E+00  87    0
 16.0 0.49999991E+00 0.99999989E+00 .194E-06 .500E+00 .943E-07 .971E-07 .500E+00  27    0
 16.5 0.49999993E+00 0.99999992E+00 .134E-06 .500E+00 .339E-07 .669E-07 .500E+00  29    0
 17.0 0.49999997E+00 0.99999995E+00 .163E-06 .500E+00 .634E-07 .817E-07 .500E+00  27    0
 17.5 0.49999998E+00 0.99999997E+00 .216E-06 .500E+00 .116E-06 .108E-06 .500E+00  25    0
 18.0 0.49999999E+00 0.99999998E+00 .143E-06 .500E+00 .434E-07 .717E-07 .500E+00  27    0
 18.5 0.49999999E+00 0.99999999E+00 .188E-06 .500E+00 .878E-07 .939E-07 .500E+00  27    0
 19.0 0.50000000E+00 0.99999999E+00 .130E-06 .500E+00 .300E-07 .650E-07 .500E+00  27    0
 19.5 0.49999999E+00 0.10000000E+01 .121E-06 .500E+00 .208E-07 .604E-07 .500E+00  27    0
 20.0 0.50000000E+00 0.10000000E+01 .131E-06 .500E+00 .307E-07 .653E-07 .500E+00  27    0
 30.0 0.50000000E+00 0.10000000E+01 .147E-06 .500E+00 .472E-07 .736E-07 .500E+00  25    0
 35.0 0.50000000E+00 0.10000000E+01 .123E-06 .500E+00 .229E-07 .614E-07 .500E+00  25    0
 40.0 0.50000000E+00 0.10000000E+01 .108E-06 .500E+00 .751E-08 .538E-07 .500E+00  25    0
 45.0 0.50000000E+00 0.10000000E+01 .115E-06 .500E+00 .152E-07 .576E-07 .500E+00  25    0
 50.0 0.50000000E+00 0.10000000E+01 .105E-06 .500E+00 .544E-08 .527E-07 .500E+00  25    0
