1DIMPLING OF SPHERICAL CAPS.
 GAMMA =   1.10
  XT = 0.42640D+00
 EPS = 0.10000D-01
  MU = 0.10000D-01
 EPS**4/MU = 0.10000D-05



 THE NUMBER OF (NONLINEAR) DIFF EQNS IS   2
 THEIR ORDERS ARE  2  2
 SIDE CONDITION POINTS ZETA  0.000000  0.000000  1.000000  1.000000
 NUMBER OF COLLOC PTS PER INTERVAL IS  4
 COMPONENTS OF Z REQUIRING TOLERANCES -        1         2         3         4
 CORRESPONDING ERROR TOLERANCES -        0.10D-04  0.10D-04  0.10D-04  0.10D-04
 THE MAXIMUM NUMBER OF SUBINTERVALS IS MIN ( 197 (ALLOWED FROM FSPACE), 192 (ALLOWED FROM ISPACE) )

 THE NEW MESH (OF   10 SUBINTERVALS), 
    0.000000    0.100000    0.200000    0.300000    0.400000    0.500000    0.600000    0.700000
    0.800000    0.900000    1.000000

 FULL DAMPED NEWTON ITERATION,
 ITERATION =   1  RELAXATION FACTOR =   0.10D+01
 NORM OF SCALED RHS CHANGES FROM   0.46D+06 TO  0.42D+05
 NORM   OF   RHS  CHANGES  FROM    0.18D+01 TO  0.13D+04
 ITERATION =   2  RELAXATION FACTOR =   0.10D+01
 NORM OF SCALED RHS CHANGES FROM   0.10D+00 TO  0.20D-02
 NORM   OF   RHS  CHANGES  FROM    0.13D+04 TO  0.75D+01
 ITERATION =   3  RELAXATION FACTOR =   0.10D+01
 NORM OF SCALED RHS CHANGES FROM   0.19D-02 TO  0.11D-05
 NORM   OF   RHS  CHANGES  FROM    0.75D+01 TO  0.18D-02
 ITERATION =   4  RELAXATION FACTOR =   0.10D+01
 NORM OF SCALED RHS CHANGES FROM   0.11D-05 TO  0.25D-11
 NORM   OF   RHS  CHANGES  FROM    0.18D-02 TO  0.73D-08

 CONVERGENCE AFTER  4 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.2041394D+00  0.4082736D+00  0.6120021D+00  0.8254443D+00  0.1981724D-01  0.2806669D-01  0.3090318D-01
   0.2577192D-01 -0.7497208D-02  0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041394D+01  0.2041380D+01  0.2040418D+01  0.1970049D+01 -0.1229728D+01  0.5648652D+00  0.4817736D-01  0.6567737D-02
  -0.1261899D+00  0.1127295D+00  0.3573169D+02
 MESH VALUES FOR Z( 3),
   0.1769265D-32 -0.9092563D-01 -0.1850201D+00 -0.2854530D+00 -0.3962545D+00 -0.4803578D+00 -0.5383102D+00 -0.5758694D+00
  -0.5917105D+00 -0.5930453D+00 -0.6239932D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.9198191D+00 -0.9673513D+00 -0.1046496D+01 -0.1214505D+01 -0.6694371D+00 -0.4823321D+00 -0.2658294D+00
  -0.5963523D-01 -0.2397774D-01 -0.8871979D+00

 MESH SELECTION INFO,
 DEGREE OF EQUIDISTRIBUTION = 0.49002 PREDICTION FOR REQUIRED N =      63

 THE NEW MESH (OF   10 SUBINTERVALS), 
    0.000000    0.313336    0.402606    0.456054    0.509046    0.559923    0.625604    0.795965
    0.901996    0.950998    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.46D+04
 ITERATION =   1  NORM (RHS) =   0.39D+02
 ITERATION =   1  NORM (RHS) =   0.22D+02
 ITERATION =   2  NORM (RHS) =   0.36D+00
 ITERATION =   2  NORM (RHS) =   0.76D-01
 ITERATION =   2  NORM (RHS) =   0.49D-02
 ITERATION =   2  NORM (RHS) =   0.94D-04

 CONVERGENCE AFTER  2 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.6391879D+00  0.8257076D+00  0.9022477D-02  0.2347060D-01  0.2634187D-01  0.2909997D-01  0.2618122D-01
  -0.1351212D-01 -0.6680387D-01  0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2039991D+01  0.2010684D+01 -0.1880017D+01 -0.8636733D+00  0.7803465D-01  0.4666871D-01  0.3666756D-01 -0.1340661D+00
  -0.7558027D+00 -0.4714760D+00  0.6905087D+02
 MESH VALUES FOR Z( 3),
  -0.6493511D-26 -0.2994963D+00 -0.3992088D+00 -0.4496924D+00 -0.4863534D+00 -0.5173639D+00 -0.5499793D+00 -0.5914725D+00
  -0.5932086D+00 -0.5989554D+00 -0.6245835D+00
 MESH VALUES FOR Z( 4),
  -0.9039733D+00 -0.1059561D+01 -0.1210419D+01 -0.7128490D+00 -0.6550554D+00 -0.5621344D+00 -0.4288610D+00 -0.6682917D-01
  -0.3002051D-01 -0.2493655D+00 -0.8873750D+00

 MESH SELECTION INFO,
 DEGREE OF EQUIDISTRIBUTION = 0.37695 PREDICTION FOR REQUIRED N =      77

 THE NEW MESH (OF   10 SUBINTERVALS), 
    0.000000    0.118112    0.236224    0.354257    0.428662    0.470634    0.509014    0.650762
    0.932054    0.971834    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.35D+04
 ITERATION =   1  NORM (RHS) =   0.53D+01
 ITERATION =   1  NORM (RHS) =   0.47D+00
 ITERATION =   1  NORM (RHS) =   0.10D+00
 ITERATION =   1  NORM (RHS) =   0.68D-02
 ITERATION =   1  NORM (RHS) =   0.17D-02
 ITERATION =   2  NORM (RHS) =   0.49D-08

 CONVERGENCE AFTER  2 ITERATIONS

 MESH VALUES FOR Z( 1),
  -0.9716998D-32  0.2411138D+00  0.4822522D+00  0.7260290D+00  0.3394221D+00  0.1277991D-01  0.2345294D-01  0.2993537D-01
  -0.4343920D-01 -0.1105255D+00  0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041396D+01  0.2041457D+01  0.2045098D+01  0.2354614D+01 -0.2739630D+02  0.6839782D+00  0.8210863D-01  0.3285689D-01
  -0.1225019D+01 -0.1585396D+01  0.9774793D+02
 MESH VALUES FOR Z( 3),
   0.2944032D-33 -0.1076406D+00 -0.2205027D+00 -0.3437497D+00 -0.4287822D+00 -0.4600542D+00 -0.4863317D+00 -0.5600944D+00
  -0.5955992D+00 -0.6064176D+00 -0.6250888D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.9260783D+00 -0.9923977D+00 -0.1105110D+01 -0.9167875D+00 -0.7082759D+00 -0.6551616D+00 -0.3748255D+00
  -0.1340026D+00 -0.4560951D+00 -0.8875266D+00

 THE NEW MESH (OF   20 SUBINTERVALS), 
    0.000000    0.059056    0.118112    0.177168    0.236224    0.295241    0.354257    0.391459
    0.428662    0.449648    0.470634    0.489824    0.509014    0.579888    0.650762    0.791408
    0.932054    0.951944    0.971834    0.985917    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.20D+04
 ITERATION =   1  NORM (RHS) =   0.97D+00
 ITERATION =   1  NORM (RHS) =   0.24D+00
 ITERATION =   2  NORM (RHS) =   0.86D-04
 ITERATION =   2  NORM (RHS) =   0.44D-07

 CONVERGENCE AFTER  2 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.2459818D-33  0.1205567D+00  0.2411134D+00  0.3616702D+00  0.4822282D+00  0.6027264D+00  0.7243014D+00  0.8190597D+00
   0.3577174D+00  0.1921288D-01  0.1253299D-01  0.2081967D-01  0.2343018D-01  0.2724369D-01  0.2993379D-01  0.2668795D-01
  -0.4368618D-01 -0.7263751D-01 -0.1129213D+00 -0.1510407D+00  0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041394D+01  0.2041394D+01  0.2041395D+01  0.2041400D+01  0.2041459D+01  0.2042718D+01  0.2137249D+01  0.2622939D+01
  -0.2850969D+02 -0.3849364D+01  0.6791180D+00  0.2225966D+00  0.8521357D-01  0.4394972D-01  0.2971575D-01 -0.1239247D+00
  -0.1235653D+01 -0.1703712D+01 -0.2393999D+01 -0.2917854D+01  0.1164269D+03
 MESH VALUES FOR Z( 3),
   0.9000828D-33 -0.5349397D-01 -0.1076406D+00 -0.1630926D+00 -0.2205026D+00 -0.2804829D+00 -0.3437428D+00 -0.3859439D+00
  -0.4287126D+00 -0.4451481D+00 -0.4600637D+00 -0.4734595D+00 -0.4863328D+00 -0.5281986D+00 -0.5600915D+00 -0.5911697D+00
  -0.5956709D+00 -0.5995413D+00 -0.6065890D+00 -0.6143904D+00 -0.6253788D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.9095007D+00 -0.9260783D+00 -0.9537077D+00 -0.9923917D+00 -0.1042131D+01 -0.1104311D+01 -0.1177493D+01
  -0.9277113D+00 -0.7140521D+00 -0.7077527D+00 -0.6858451D+00 -0.6550922D+00 -0.5230215D+00 -0.3747497D+00 -0.7521338D-01
  -0.1359197D+00 -0.2628991D+00 -0.4596188D+00 -0.6579644D+00 -0.8876137D+00

 THE ESTIMATED ERRORS ARE,
 U( 1) -  0.9084D-03  0.4481D+00
 U( 2) -  0.9452D-05  0.3653D-03

 MESH SELECTION INFO,
 DEGREE OF EQUIDISTRIBUTION = 0.26433 PREDICTION FOR REQUIRED N =      56

 THE NEW MESH (OF   20 SUBINTERVALS), 
    0.000000    0.321449    0.367923    0.392601    0.406742    0.420883    0.441040    0.458366
    0.471171    0.487412    0.506249    0.544023    0.590218    0.701230    0.854425    0.960696
    0.982939    0.988832    0.992555    0.996277    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.12D+04
 ITERATION =   1  NORM (RHS) =   0.39D-01
 ITERATION =   1  NORM (RHS) =   0.37D-03

 CONVERGENCE AFTER  1 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.6563191D+00  0.7548614D+00  0.8219960D+00  0.8123220D+00  0.5786635D+00  0.8810043D-01  0.5719282D-02
   0.1289470D-01  0.2024117D-01  0.2318421D-01  0.2557492D-01  0.2769028D-01  0.3088051D-01  0.1215941D-01 -0.8875333D-01
  -0.1424533D+00 -0.1605346D+00 -0.1713068D+00 -0.1663736D+00  0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041523D+01  0.2046701D+01  0.2378485D+01  0.2448274D+01 -0.6311150D+01 -0.2645457D+02 -0.1319009D+02 -0.6241601D-02
   0.6690213D+00  0.2605303D+00  0.9412214D-01  0.5003102D-01  0.4252205D-01  0.4769165D-02 -0.3723935D+00 -0.1973592D+01
  -0.2930196D+01 -0.3149723D+01 -0.2233447D+01  0.8863036D+01  0.1192618D+03
 MESH VALUES FOR Z( 3),
   0.8596048D-28 -0.3081278D+00 -0.3589568D+00 -0.3872913D+00 -0.4042960D+00 -0.4208775D+00 -0.4389000D+00 -0.4513515D+00
  -0.4604434D+00 -0.4718014D+00 -0.4845151D+00 -0.5081848D+00 -0.5334950D+00 -0.5762000D+00 -0.5930702D+00 -0.6021866D+00
  -0.6125320D+00 -0.6164132D+00 -0.6191693D+00 -0.6221795D+00 -0.6254200D+00
 MESH VALUES FOR Z( 4),
  -0.9039750D+00 -0.1067855D+01 -0.1122982D+01 -0.1181346D+01 -0.1214880D+01 -0.1086514D+01 -0.7466092D+00 -0.7109473D+00
  -0.7073960D+00 -0.6893176D+00 -0.6597622D+00 -0.5923133D+00 -0.5022808D+00 -0.2632159D+00  0.6822353D-03 -0.3396548D+00
  -0.6116047D+00 -0.7074619D+00 -0.7740724D+00 -0.8429517D+00 -0.8876260D+00

 MESH SELECTION INFO,
 DEGREE OF EQUIDISTRIBUTION = 0.24849 PREDICTION FOR REQUIRED N =      67

 THE NEW MESH (OF   20 SUBINTERVALS), 
    0.000000    0.079877    0.159754    0.239631    0.319508    0.377816    0.399759    0.417063
    0.435177    0.452684    0.466111    0.481122    0.501911    0.545641    0.645156    0.837004
    0.964283    0.990088    0.994407    0.997397    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.25D+02
 ITERATION =   1  NORM (RHS) =   0.94D-05

 CONVERGENCE AFTER  1 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.1630603D+00  0.3261207D+00  0.4891828D+00  0.6523319D+00  0.7800447D+00  0.8321741D+00  0.6710040D+00
   0.1903720D+00  0.1045795D-01  0.9345662D-02  0.1820704D-01  0.2273768D-01  0.2565532D-01  0.2976283D-01  0.1781636D-01
  -0.9605459D-01 -0.1644224D+00 -0.1735002D+00 -0.1503232D+00  0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041394D+01  0.2041394D+01  0.2041397D+01  0.2041475D+01  0.2046731D+01  0.2744105D+01 -0.1013822D+00 -0.2160059D+02
  -0.2170773D+02 -0.1950264D+01  0.7031571D+00  0.3951205D+00  0.1128242D+00  0.4958294D-01  0.3169435D-01 -0.2813253D+00
  -0.2097142D+01 -0.3099068D+01  0.3675213D+00  0.2122882D+02  0.1192643D+03
 MESH VALUES FOR Z( 3),
  -0.1957171D-26 -0.7247591D-01 -0.1465668D+00 -0.2238877D+00 -0.3060566D+00 -0.3701500D+00 -0.3958337D+00 -0.4166039D+00
  -0.4343572D+00 -0.4473114D+00 -0.4568565D+00 -0.4674387D+00 -0.4816374D+00 -0.5091410D+00 -0.5579567D+00 -0.5929935D+00
  -0.6034691D+00 -0.6173158D+00 -0.6206355D+00 -0.6231344D+00 -0.6254206D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.9140840D+00 -0.9444114D+00 -0.9949607D+00 -0.1065885D+01 -0.1140725D+01 -0.1204754D+01 -0.1147638D+01
  -0.8100062D+00 -0.7115597D+00 -0.7100516D+00 -0.6976252D+00 -0.6669605D+00 -0.5892836D+00 -0.3869307D+00 -0.1106441D-01
  -0.3753781D+00 -0.7294290D+00 -0.8085504D+00 -0.8619761D+00 -0.8876262D+00

 THE NEW MESH (OF   40 SUBINTERVALS), 
    0.000000    0.039938    0.079877    0.119815    0.159754    0.199692    0.239631    0.279569
    0.319508    0.348662    0.377816    0.388787    0.399759    0.408411    0.417063    0.426120
    0.435177    0.443931    0.452684    0.459397    0.466111    0.473617    0.481122    0.491517
    0.501911    0.523776    0.545641    0.595399    0.645156    0.741080    0.837004    0.900643
    0.964283    0.977186    0.990088    0.992248    0.994407    0.995902    0.997397    0.998698
    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.86D+01
 ITERATION =   1  NORM (RHS) =   0.16D-04

 CONVERGENCE AFTER  1 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.8153017D-01  0.1630603D+00  0.2445905D+00  0.3261207D+00  0.4076512D+00  0.4891827D+00  0.5707218D+00
   0.6523328D+00  0.7124621D+00  0.7800712D+00  0.8117277D+00  0.8321725D+00  0.8000379D+00  0.6710028D+00  0.4305702D+00
   0.1903692D+00  0.5557643D-01  0.1045621D-01  0.5814525D-02  0.9345050D-02  0.1445871D-01  0.1820687D-01  0.2117919D-01
   0.2273787D-01  0.2447562D-01  0.2565556D-01  0.2790864D-01  0.2976210D-01  0.3038140D-01  0.1781918D-01 -0.1300244D-01
  -0.9605565D-01 -0.1264503D+00 -0.1644520D+00 -0.1705871D+00 -0.1735003D+00 -0.1691999D+00 -0.1503218D+00 -0.1054784D+00
   0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041394D+01  0.2041394D+01  0.2041394D+01  0.2041395D+01  0.2041397D+01  0.2041408D+01  0.2041468D+01  0.2041915D+01
   0.2046942D+01  0.2099013D+01  0.2739865D+01  0.2863733D+01 -0.1012151D+00 -0.8441704D+01 -0.2160112D+02 -0.2919334D+02
  -0.2170816D+02 -0.9402321D+01 -0.1950162D+01  0.1831989D+00  0.7032155D+00  0.6071768D+00  0.3951294D+00  0.1997285D+00
   0.1128596D+00  0.6062847D-01  0.4957917D-01  0.4178961D-01  0.3142356D-01 -0.3330712D-01 -0.2810571D+00 -0.7603098D+00
  -0.2099112D+01 -0.2637393D+01 -0.3079534D+01 -0.2435183D+01  0.3689266D+00  0.6291441D+01  0.2122881D+02  0.5168286D+02
   0.1192632D+03
 MESH VALUES FOR Z( 3),
   0.3851860D-33 -0.3613702D-01 -0.7247591D-01 -0.1092185D+00 -0.1465668D+00 -0.1847225D+00 -0.2238877D+00 -0.2642644D+00
  -0.3060566D+00 -0.3375829D+00 -0.3701499D+00 -0.3828105D+00 -0.3958337D+00 -0.4063221D+00 -0.4166040D+00 -0.4262968D+00
  -0.4343573D+00 -0.4410311D+00 -0.4473114D+00 -0.4520850D+00 -0.4568565D+00 -0.4621712D+00 -0.4674387D+00 -0.4746183D+00
  -0.4816374D+00 -0.4958148D+00 -0.5091410D+00 -0.5360696D+00 -0.5579566D+00 -0.5849348D+00 -0.5929931D+00 -0.5933215D+00
  -0.6034682D+00 -0.6092562D+00 -0.6173151D+00 -0.6189321D+00 -0.6206347D+00 -0.6218641D+00 -0.6231337D+00 -0.6242680D+00
  -0.6254199D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.9065022D+00 -0.9140840D+00 -0.9267204D+00 -0.9444114D+00 -0.9671575D+00 -0.9949607D+00 -0.1027834D+01
  -0.1065885D+01 -0.1097582D+01 -0.1140716D+01 -0.1169001D+01 -0.1204761D+01 -0.1212549D+01 -0.1147641D+01 -0.9806077D+00
  -0.8100021D+00 -0.7294603D+00 -0.7115575D+00 -0.7109740D+00 -0.7100509D+00 -0.7054954D+00 -0.6976250D+00 -0.6833410D+00
  -0.6669603D+00 -0.6293353D+00 -0.5892833D+00 -0.4917575D+00 -0.3869281D+00 -0.1756640D+00 -0.1107017D-01 -0.2990012D-01
  -0.3753879D+00 -0.5287136D+00 -0.7294249D+00 -0.7684138D+00 -0.8085508D+00 -0.8361983D+00 -0.8619762D+00 -0.8798610D+00
  -0.8876260D+00

 THE ESTIMATED ERRORS ARE,
 U( 1) -  0.1236D-05  0.1048D-02
 U( 2) -  0.9778D-07  0.1535D-04

 MESH SELECTION INFO,
 DEGREE OF EQUIDISTRIBUTION = 0.45986 PREDICTION FOR REQUIRED N =      57

 THE NEW MESH (OF   28 SUBINTERVALS), 
    0.000000    0.305565    0.351672    0.376829    0.390851    0.402352    0.408627    0.419210
    0.429193    0.440390    0.450281    0.458507    0.467247    0.477982    0.489593    0.507500
    0.536694    0.580981    0.670506    0.803606    0.899968    0.960590    0.982398    0.990417
    0.993294    0.995099    0.996612    0.998281    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.18D+01
 ITERATION =   1  NORM (RHS) =   0.59D-07

 CONVERGENCE AFTER  1 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.6238239D+00  0.7188079D+00  0.7773891D+00  0.8174820D+00  0.8296985D+00  0.7981808D+00  0.6213822D+00
   0.3419341D+00  0.9697313D-01  0.1677324D-01  0.5720954D-02  0.1015091D-01  0.1683426D-01  0.2077058D-01  0.2329934D-01
   0.2519965D-01  0.2729186D-01  0.3044831D-01  0.2497664D-01 -0.1249170D-01 -0.8854286D-01 -0.1408760D+00 -0.1654592D+00
  -0.1727218D+00 -0.1725787D+00 -0.1629509D+00 -0.1243240D+00  0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041435D+01  0.2043384D+01  0.2117474D+01  0.2699565D+01  0.2693504D+01 -0.1900896D+01 -0.8734378D+01 -0.2454798D+02
  -0.2817787D+02 -0.1410880D+02 -0.3379625D+01  0.2218634D-01  0.7134804D+00  0.4806804D+00  0.2258159D+00  0.8989330D-01
   0.5254623D-01  0.4374156D-01  0.2212927D-01 -0.1569668D+00 -0.7524596D+00 -0.1970498D+01 -0.2901567D+01 -0.3035376D+01
  -0.1543551D+01  0.2444811D+01  0.1171167D+02  0.3917980D+02  0.1192632D+03
 MESH VALUES FOR Z( 3),
   0.7871353D-28 -0.2912933D+00 -0.3408923D+00 -0.3690256D+00 -0.3852299D+00 -0.3989663D+00 -0.4065843D+00 -0.4190344D+00
  -0.4292103D+00 -0.4384125D+00 -0.4456002D+00 -0.4514522D+00 -0.4576627D+00 -0.4652420D+00 -0.4733012D+00 -0.4853389D+00
  -0.5037938D+00 -0.5287694D+00 -0.5670640D+00 -0.5919602D+00 -0.5933017D+00 -0.6021504D+00 -0.6122033D+00 -0.6175556D+00
  -0.6197460D+00 -0.6211988D+00 -0.6224621D+00 -0.6239019D+00 -0.6254199D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.1051985D+01 -0.1101164D+01 -0.1138683D+01 -0.1175558D+01 -0.1211209D+01 -0.1212055D+01 -0.1115549D+01
  -0.9161512D+00 -0.7516302D+00 -0.7132397D+00 -0.7109529D+00 -0.7096125D+00 -0.7012458D+00 -0.6861866D+00 -0.6576572D+00
  -0.6059089D+00 -0.5208421D+00 -0.3314249D+00 -0.5455134D-01 -0.2856049D-01 -0.3386435D+00 -0.6033844D+00 -0.7352561D+00
  -0.7877682D+00 -0.8214443D+00 -0.8488399D+00 -0.8748754D+00 -0.8876260D+00

 THE NEW MESH (OF   56 SUBINTERVALS), 
    0.000000    0.152783    0.305565    0.328619    0.351672    0.364251    0.376829    0.383840
    0.390851    0.396602    0.402352    0.405490    0.408627    0.413919    0.419210    0.424202
    0.429193    0.434791    0.440390    0.445335    0.450281    0.454394    0.458507    0.462877
    0.467247    0.472614    0.477982    0.483788    0.489593    0.498547    0.507500    0.522097
    0.536694    0.558837    0.580981    0.625744    0.670506    0.737056    0.803606    0.851787
    0.899968    0.930279    0.960590    0.971494    0.982398    0.986407    0.990417    0.991855
    0.993294    0.994196    0.995099    0.995856    0.996612    0.997446    0.998281    0.999141
    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.17D+01
 ITERATION =   1  NORM (RHS) =   0.27D-06

 CONVERGENCE AFTER  1 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.3118898D+00  0.6238207D+00  0.6710028D+00  0.7188073D+00  0.7463071D+00  0.7773894D+00  0.7972366D+00
   0.8174820D+00  0.8299474D+00  0.8296984D+00  0.8193066D+00  0.7981808D+00  0.7313621D+00  0.6213821D+00  0.4863592D+00
   0.3419342D+00  0.1988545D+00  0.9697312D-01  0.4352530D-01  0.1677325D-01  0.7809307D-02  0.5720962D-02  0.7231415D-02
   0.1015091D-01  0.1383643D-01  0.1683426D-01  0.1917333D-01  0.2077058D-01  0.2232581D-01  0.2329935D-01  0.2437245D-01
   0.2519966D-01  0.2629035D-01  0.2729187D-01  0.2910115D-01  0.3044818D-01  0.3050549D-01  0.2497664D-01  0.1312220D-01
  -0.1249149D-01 -0.4155668D-01 -0.8854276D-01 -0.1121831D+00 -0.1408762D+00 -0.1529250D+00 -0.1654596D+00 -0.1695907D+00
  -0.1727219D+00 -0.1735275D+00 -0.1725787D+00 -0.1694858D+00 -0.1629509D+00 -0.1492475D+00 -0.1243240D+00 -0.7898380D-01
   0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041395D+01  0.2041407D+01  0.2043592D+01  0.2052065D+01  0.2117548D+01  0.2285789D+01  0.2699521D+01  0.2935047D+01
   0.2693500D+01  0.1395429D+01 -0.1900898D+01 -0.4873344D+01 -0.8734377D+01 -0.1672795D+02 -0.2454797D+02 -0.2882845D+02
  -0.2817787D+02 -0.2224370D+02 -0.1410880D+02 -0.7780329D+01 -0.3379625D+01 -0.1175809D+01  0.2218587D-01  0.5754420D+00
   0.7134801D+00  0.6342094D+00  0.4806802D+00  0.3316436D+00  0.2258153D+00  0.1330600D+00  0.8989560D-01  0.6227074D-01
   0.5254637D-01  0.4684155D-01  0.4373957D-01  0.3641967D-01  0.2209655D-01 -0.2842667D-01 -0.1569501D+00 -0.3569826D+00
  -0.7524576D+00 -0.1202543D+01 -0.1970557D+01 -0.2381256D+01 -0.2901485D+01 -0.3102654D+01 -0.3035083D+01 -0.2637152D+01
  -0.1543499D+01 -0.1035512D+00  0.2444827D+01  0.6012875D+01  0.1171168D+02  0.2200039D+02  0.3917980D+02  0.6892760D+02
   0.1192632D+03
 MESH VALUES FOR Z( 3),
   0.2603241D-27 -0.1399952D+00 -0.2912932D+00 -0.3158106D+00 -0.3408923D+00 -0.3548434D+00 -0.3690256D+00 -0.3770632D+00
  -0.3852299D+00 -0.3920450D+00 -0.3989663D+00 -0.4027742D+00 -0.4065843D+00 -0.4129360D+00 -0.4190344D+00 -0.4243763D+00
  -0.4292103D+00 -0.4340434D+00 -0.4384125D+00 -0.4420517D+00 -0.4456002D+00 -0.4485281D+00 -0.4514522D+00 -0.4545588D+00
  -0.4576627D+00 -0.4614637D+00 -0.4652420D+00 -0.4692936D+00 -0.4733012D+00 -0.4793841D+00 -0.4853389D+00 -0.4947554D+00
  -0.5037938D+00 -0.5167527D+00 -0.5287694D+00 -0.5500398D+00 -0.5670640D+00 -0.5842106D+00 -0.5919602D+00 -0.5930703D+00
  -0.5933017D+00 -0.5954494D+00 -0.6021504D+00 -0.6064581D+00 -0.6122033D+00 -0.6147473D+00 -0.6175556D+00 -0.6186319D+00
  -0.6197460D+00 -0.6204648D+00 -0.6211987D+00 -0.6218252D+00 -0.6224621D+00 -0.6231765D+00 -0.6239019D+00 -0.6246580D+00
  -0.6254199D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.9409593D+00 -0.1051990D+01 -0.1075352D+01 -0.1101165D+01 -0.1117521D+01 -0.1138683D+01 -0.1154860D+01
  -0.1175558D+01 -0.1194862D+01 -0.1211209D+01 -0.1215090D+01 -0.1212055D+01 -0.1182941D+01 -0.1115549D+01 -0.1021085D+01
  -0.9161511D+00 -0.8156700D+00 -0.7516302D+00 -0.7237549D+00 -0.7132397D+00 -0.7110718D+00 -0.7109529D+00 -0.7108124D+00
  -0.7096125D+00 -0.7063200D+00 -0.7012458D+00 -0.6942548D+00 -0.6861866D+00 -0.6724158D+00 -0.6576572D+00 -0.6323254D+00
  -0.6059089D+00 -0.5642245D+00 -0.5208420D+00 -0.4285758D+00 -0.3314248D+00 -0.1843356D+00 -0.5455167D-01 -0.4802420D-03
  -0.2856077D-01 -0.1274352D+00 -0.3386436D+00 -0.4559445D+00 -0.6033844D+00 -0.6665981D+00 -0.7352561D+00 -0.7612197D+00
  -0.7877682D+00 -0.8046137D+00 -0.8214443D+00 -0.8353545D+00 -0.8488399D+00 -0.8627649D+00 -0.8748754D+00 -0.8840459D+00
  -0.8876260D+00

 THE ESTIMATED ERRORS ARE,
 U( 1) -  0.1091D-06  0.1061D-03
 U( 2) -  0.5578D-08  0.1041D-05

 MESH SELECTION INFO,
 DEGREE OF EQUIDISTRIBUTION = 0.56247 PREDICTION FOR REQUIRED N =      59

 THE NEW MESH (OF  112 SUBINTERVALS), 
    0.000000    0.076391    0.152783    0.229174    0.305565    0.317092    0.328619    0.340145
    0.351672    0.357961    0.364251    0.370540    0.376829    0.380335    0.383840    0.387346
    0.390851    0.393726    0.396602    0.399477    0.402352    0.403921    0.405490    0.407058
    0.408627    0.411273    0.413919    0.416564    0.419210    0.421706    0.424202    0.426697
    0.429193    0.431992    0.434791    0.437590    0.440390    0.442862    0.445335    0.447808
    0.450281    0.452338    0.454394    0.456451    0.458507    0.460692    0.462877    0.465062
    0.467247    0.469930    0.472614    0.475298    0.477982    0.480885    0.483788    0.486690
    0.489593    0.494070    0.498547    0.503023    0.507500    0.514798    0.522097    0.529395
    0.536694    0.547766    0.558837    0.569909    0.580981    0.603362    0.625744    0.648125
    0.670506    0.703781    0.737056    0.770331    0.803606    0.827697    0.851787    0.875878
    0.899968    0.915123    0.930279    0.945434    0.960590    0.966042    0.971494    0.976946
    0.982398    0.984403    0.986407    0.988412    0.990417    0.991136    0.991855    0.992574
    0.993294    0.993745    0.994196    0.994648    0.995099    0.995477    0.995856    0.996234
    0.996612    0.997029    0.997446    0.997864    0.998281    0.998711    0.999141    0.999570
    1.000000

 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.12D+00
 ITERATION =   1  NORM (RHS) =   0.80D-08

 CONVERGENCE AFTER  1 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000D+00  0.1559448D+00  0.3118897D+00  0.4678356D+00  0.6238202D+00  0.6473889D+00  0.6710027D+00  0.6947340D+00
   0.7188072D+00  0.7322982D+00  0.7463070D+00  0.7611910D+00  0.7773894D+00  0.7870991D+00  0.7972366D+00  0.8075513D+00
   0.8174820D+00  0.8246329D+00  0.8299474D+00  0.8321779D+00  0.8296984D+00  0.8256680D+00  0.8193065D+00  0.8102592D+00
   0.7981808D+00  0.7700891D+00  0.7313621D+00  0.6815931D+00  0.6213821D+00  0.5565682D+00  0.4863592D+00  0.4137339D+00
   0.3419342D+00  0.2661869D+00  0.1988545D+00  0.1421698D+00  0.9697312D-01  0.6632388D-01  0.4352530D-01  0.2743014D-01
   0.1677325D-01  0.1116175D-01  0.7809307D-02  0.6152998D-02  0.5720963D-02  0.6177825D-02  0.7231415D-02  0.8618271D-02
   0.1015091D-01  0.1204983D-01  0.1383643D-01  0.1543949D-01  0.1683426D-01  0.1811228D-01  0.1917333D-01  0.2004864D-01
   0.2077058D-01  0.2165096D-01  0.2232581D-01  0.2286028D-01  0.2329935D-01  0.2388479D-01  0.2437245D-01  0.2480342D-01
   0.2519967D-01  0.2576031D-01  0.2629035D-01  0.2679957D-01  0.2729187D-01  0.2823675D-01  0.2910115D-01  0.2985403D-01
   0.3044818D-01  0.3088980D-01  0.3050548D-01  0.2879283D-01  0.2497664D-01  0.2024278D-01  0.1312221D-01  0.2669085D-02
  -0.1249149D-01 -0.2532953D-01 -0.4155668D-01 -0.6216505D-01 -0.8854276D-01 -0.9980396D-01 -0.1121831D+00 -0.1258203D+00
  -0.1408762D+00 -0.1467984D+00 -0.1529250D+00 -0.1592087D+00 -0.1654596D+00 -0.1675953D+00 -0.1695908D+00 -0.1713496D+00
  -0.1727219D+00 -0.1732861D+00 -0.1735275D+00 -0.1733388D+00 -0.1725787D+00 -0.1713680D+00 -0.1694858D+00 -0.1667547D+00
  -0.1629509D+00 -0.1571668D+00 -0.1492475D+00 -0.1385684D+00 -0.1243240D+00 -0.1048315D+00 -0.7898380D-01 -0.4486865D-01
   0.0000000D+00
 MESH VALUES FOR Z( 2),
   0.2041394D+01  0.2041394D+01  0.2041397D+01  0.2041443D+01  0.2043645D+01  0.2046103D+01  0.2052071D+01  0.2068411D+01
   0.2117550D+01  0.2178537D+01  0.2285790D+01  0.2459607D+01  0.2699521D+01  0.2837387D+01  0.2935048D+01  0.2923926D+01
   0.2693500D+01  0.2229281D+01  0.1395429D+01  0.6166047D-01 -0.1900898D+01 -0.3274302D+01 -0.4873344D+01 -0.6697320D+01
  -0.8734377D+01 -0.1257538D+02 -0.1672795D+02 -0.2085829D+02 -0.2454797D+02 -0.2723241D+02 -0.2882845D+02 -0.2915071D+02
  -0.2817787D+02 -0.2573231D+02 -0.2224370D+02 -0.1820915D+02 -0.1410880D+02 -0.1073701D+02 -0.7780329D+01 -0.5323139D+01
  -0.3379625D+01 -0.2130221D+01 -0.1175809D+01 -0.4732295D+00  0.2218587D-01  0.3690264D+00  0.5754420D+00  0.6798871D+00
   0.7134801D+00  0.6929191D+00  0.6342094D+00  0.5589866D+00  0.4806802D+00  0.4012302D+00  0.3316436D+00  0.2733051D+00
   0.2258153D+00  0.1708456D+00  0.1330600D+00  0.1073754D+00  0.8989561D-01  0.7225995D-01  0.6227073D-01  0.5630750D-01
   0.5254639D-01  0.4904239D-01  0.4684153D-01  0.4519754D-01  0.4373960D-01  0.4059158D-01  0.3641961D-01  0.3050883D-01
   0.2209596D-01  0.2856531D-02 -0.2842700D-01 -0.7832084D-01 -0.1569496D+00 -0.2406153D+00 -0.3569820D+00 -0.5201786D+00
  -0.7524584D+00 -0.9496639D+00 -0.1202542D+01 -0.1532096D+01 -0.1970559D+01 -0.2164020D+01 -0.2381257D+01 -0.2626203D+01
  -0.2901475D+01 -0.3006777D+01 -0.3102653D+01 -0.3153220D+01 -0.3035079D+01 -0.2889313D+01 -0.2637150D+01 -0.2219259D+01
  -0.1543498D+01 -0.9266259D+00 -0.1035508D+00  0.9914138D+00  0.2444828D+01  0.4020302D+01  0.6012876D+01  0.8531087D+01
   0.1171168D+02  0.1619931D+02  0.2200039D+02  0.2949646D+02  0.3917980D+02  0.5210783D+02  0.6892760D+02  0.9080681D+02
   0.1192632D+03
 MESH VALUES FOR Z( 3),
  -0.2321560D-30 -0.6929128D-01 -0.1399952D+00 -0.2135245D+00 -0.2912932D+00 -0.3034846D+00 -0.3158106D+00 -0.3282772D+00
  -0.3408923D+00 -0.3478422D+00 -0.3548434D+00 -0.3619015D+00 -0.3690256D+00 -0.3730303D+00 -0.3770632D+00 -0.3811284D+00
  -0.3852299D+00 -0.3886235D+00 -0.3920450D+00 -0.3954937D+00 -0.3989663D+00 -0.4008687D+00 -0.4027742D+00 -0.4046804D+00
  -0.4065843D+00 -0.4097792D+00 -0.4129360D+00 -0.4160299D+00 -0.4190344D+00 -0.4217646D+00 -0.4243763D+00 -0.4268591D+00
  -0.4292103D+00 -0.4316975D+00 -0.4340434D+00 -0.4362727D+00 -0.4384125D+00 -0.4402492D+00 -0.4420517D+00 -0.4438323D+00
  -0.4456002D+00 -0.4470652D+00 -0.4485281D+00 -0.4499902D+00 -0.4514522D+00 -0.4530056D+00 -0.4545588D+00 -0.4561114D+00
  -0.4576627D+00 -0.4595654D+00 -0.4614637D+00 -0.4633563D+00 -0.4652420D+00 -0.4672729D+00 -0.4692936D+00 -0.4713033D+00
  -0.4733012D+00 -0.4763581D+00 -0.4793841D+00 -0.4823781D+00 -0.4853389D+00 -0.4900934D+00 -0.4947554D+00 -0.4993228D+00
  -0.5037938D+00 -0.5103886D+00 -0.5167527D+00 -0.5228811D+00 -0.5287694D+00 -0.5399210D+00 -0.5500398D+00 -0.5590958D+00
  -0.5670640D+00 -0.5768643D+00 -0.5842106D+00 -0.5891738D+00 -0.5919602D+00 -0.5928463D+00 -0.5930703D+00 -0.5930280D+00
  -0.5933017D+00 -0.5940043D+00 -0.5954494D+00 -0.5980058D+00 -0.6021504D+00 -0.6041446D+00 -0.6064581D+00 -0.6091300D+00
  -0.6122033D+00 -0.6134436D+00 -0.6147473D+00 -0.6161170D+00 -0.6175556D+00 -0.6180891D+00 -0.6186319D+00 -0.6191842D+00
  -0.6197460D+00 -0.6201035D+00 -0.6204648D+00 -0.6208299D+00 -0.6211987D+00 -0.6215107D+00 -0.6218252D+00 -0.6221424D+00
  -0.6224621D+00 -0.6228179D+00 -0.6231765D+00 -0.6235379D+00 -0.6239019D+00 -0.6242789D+00 -0.6246580D+00 -0.6250385D+00
  -0.6254199D+00
 MESH VALUES FOR Z( 4),
  -0.9039749D+00 -0.9132210D+00 -0.9409593D+00 -0.9871921D+00 -0.1051991D+01 -0.1063428D+01 -0.1075352D+01 -0.1087850D+01
  -0.1101165D+01 -0.1108997D+01 -0.1117521D+01 -0.1127179D+01 -0.1138683D+01 -0.1146248D+01 -0.1154860D+01 -0.1164639D+01
  -0.1175558D+01 -0.1185147D+01 -0.1194862D+01 -0.1203945D+01 -0.1211209D+01 -0.1213829D+01 -0.1215090D+01 -0.1214627D+01
  -0.1212055D+01 -0.1201872D+01 -0.1182941D+01 -0.1154189D+01 -0.1115549D+01 -0.1071122D+01 -0.1021085D+01 -0.9683433D+00
  -0.9161511D+00 -0.8620243D+00 -0.8156700D+00 -0.7788120D+00 -0.7516302D+00 -0.7348802D+00 -0.7237549D+00 -0.7169568D+00
  -0.7132397D+00 -0.7117153D+00 -0.7110718D+00 -0.7109156D+00 -0.7109529D+00 -0.7109728D+00 -0.7108124D+00 -0.7103749D+00
  -0.7096125D+00 -0.7082125D+00 -0.7063200D+00 -0.7039793D+00 -0.7012458D+00 -0.6979131D+00 -0.6942548D+00 -0.6903297D+00
  -0.6861866D+00 -0.6794594D+00 -0.6724158D+00 -0.6651313D+00 -0.6576572D+00 -0.6451511D+00 -0.6323254D+00 -0.6192340D+00
  -0.6059089D+00 -0.5852914D+00 -0.5642245D+00 -0.5427349D+00 -0.5208420D+00 -0.4754245D+00 -0.4285758D+00 -0.3804865D+00
  -0.3314248D+00 -0.2575433D+00 -0.1843356D+00 -0.1149745D+00 -0.5455167D-01 -0.2081903D-01 -0.4802429D-03  0.2205964D-04
  -0.2856078D-01 -0.6729517D-01 -0.1274352D+00 -0.2151239D+00 -0.3386436D+00 -0.3939219D+00 -0.4559445D+00 -0.5254736D+00
  -0.6033844D+00 -0.6343316D+00 -0.6665981D+00 -0.7002316D+00 -0.7352561D+00 -0.7481558D+00 -0.7612197D+00 -0.7744324D+00
  -0.7877682D+00 -0.7961821D+00 -0.8046137D+00 -0.8130432D+00 -0.8214443D+00 -0.8284347D+00 -0.8353545D+00 -0.8421702D+00
  -0.8488399D+00 -0.8559682D+00 -0.8627649D+00 -0.8691156D+00 -0.8748754D+00 -0.8799958D+00 -0.8840459D+00 -0.8867153D+00
  -0.8876260D+00

 THE ESTIMATED ERRORS ARE,
 U( 1) -  0.2455D-07  0.8615D-05
 U( 2) -  0.7374D-09  0.9429D-07
1       X             PHI           DPHI           PSI          DPSI

       0.00        0.00000D+00    0.20414D+01   -0.23216D-30   -0.90397D+00
       0.05        0.10207D+00    0.20414D+01   -0.45265D-01   -0.90794D+00
       0.10        0.20414D+00    0.20414D+01   -0.90926D-01   -0.91982D+00
       0.15        0.30621D+00    0.20414D+01   -0.13738D+00   -0.93962D+00
       0.20        0.40828D+00    0.20414D+01   -0.18502D+00   -0.96735D+00
       0.25        0.51035D+00    0.20415D+01   -0.23425D+00   -0.10030D+01
       0.30        0.61245D+00    0.20430D+01   -0.28545D+00   -0.10466D+01
       0.35        0.71528D+00    0.21066D+01   -0.33905D+00   -0.10992D+01
       0.40        0.83213D+00   -0.24518D+00   -0.39612D+00   -0.12054D+01
       0.45        0.17751D-01   -0.35755D+01   -0.44540D+00   -0.71354D+00
       0.50        0.22512D-01    0.12361D+00   -0.48036D+00   -0.67007D+00
       0.55        0.25869D-01    0.48526D-01   -0.51169D+00   -0.58108D+00
       0.60        0.28099D-01    0.41111D-01   -0.53831D+00   -0.48234D+00
       0.65        0.29911D-01    0.29912D-01   -0.55981D+00   -0.37641D+00
       0.70        0.30874D-01    0.55520D-02   -0.57587D+00   -0.26595D+00
       0.75        0.30032D-01   -0.45165D-01   -0.58642D+00   -0.15667D+00
       0.80        0.25524D-01   -0.14662D+00   -0.59175D+00   -0.60454D-01
       0.85        0.13751D-01   -0.34695D+00   -0.59307D+00   -0.14009D-02
       0.90       -0.12516D-01   -0.75283D+00   -0.59330D+00   -0.28623D-01
       0.95       -0.69427D-01   -0.16508D+01   -0.59906D+00   -0.24811D+00
       1.00        0.26482D-13    0.11926D+03   -0.62542D+00   -0.88763D+00
