  
 TEST OF THE SCALED HI(Z)
 CHECK THE FOLLOWING RELATION:
  
  HI(Z+W)=EXP((2/3)*Z**(3/2))* 
          EXP(-(2/3)*(Z+W)**(3/2))*
          SUM_K W**K/K!HI^(K)(Z) 
      X                  Y            MODUL           PHASE
 0.999847695D-01  0.174524064D-02  0.111022302D-15  0.666133815D-15
 0.999610115D-01  0.279216387D-02  0.222044605D-15  0.444089210D-15
 0.999262916D-01  0.383878091D-02  0.222044605D-15  0.155431223D-14
 0.998806137D-01  0.488497698D-02  0.000000000D+00  0.111022302D-15
 0.998239828D-01  0.593063736D-02  0.222044605D-15  0.444089210D-15
 0.997564050D-01  0.697564737D-02  0.222044605D-15  0.666133815D-15
 0.996778878D-01  0.801989243D-02  0.111022302D-15  0.155431223D-14
 0.995884399D-01  0.906325802D-02  0.222044605D-15  0.199840144D-14
 0.994880709D-01  0.101056297D-01  0.222044605D-15  0.666133815D-15
 0.993767919D-01  0.111468932D-01  0.222044605D-15  0.444089210D-15
 0.992546152D-01  0.121869343D-01  0.222044605D-15  0.666133815D-15
 0.991215540D-01  0.132256390D-01  0.333066907D-15  0.555111512D-15
 0.989776231D-01  0.142628934D-01  0.222044605D-15  0.111022302D-14
 0.988228381D-01  0.152985836D-01  0.666133815D-15  0.999200722D-15
 0.986572162D-01  0.163325962D-01  0.222044605D-15  0.000000000D+00
 0.984807753D-01  0.173648178D-01  0.222044605D-15  0.199840144D-14
 0.982935349D-01  0.183951351D-01  0.444089210D-15  0.444089210D-15
 0.980955155D-01  0.194234351D-01  0.222044605D-15  0.144328993D-14
 0.978867389D-01  0.204496052D-01  0.222044605D-15  0.666133815D-15
 0.976672278D-01  0.214735327D-01  0.222044605D-15  0.888178420D-15
 0.974370065D-01  0.224951054D-01  0.444089210D-15  0.666133815D-15
 0.971961001D-01  0.235142113D-01  0.222044605D-15  0.666133815D-15
 0.969445350D-01  0.245307386D-01  0.222044605D-15  0.155431223D-14
 0.966823389D-01  0.255445758D-01  0.444089210D-15  0.222044605D-15
 0.964095404D-01  0.265556117D-01  0.222044605D-15  0.133226763D-14
 0.961261696D-01  0.275637356D-01  0.444089210D-15  0.333066907D-15
 0.958322574D-01  0.285688367D-01  0.222044605D-15  0.777156117D-15
 0.955278362D-01  0.295708050D-01  0.333066907D-15  0.222044605D-15
 0.952129393D-01  0.305695305D-01  0.444089210D-15  0.888178420D-15
 0.948876012D-01  0.315649037D-01  0.444089210D-15  0.888178420D-15
 0.945518576D-01  0.325568154D-01  0.222044605D-15  0.111022302D-14
 0.942057453D-01  0.335451570D-01  0.444089210D-15  0.199840144D-14
 0.938493023D-01  0.345298199D-01  0.000000000D+00  0.444089210D-15
 0.934825676D-01  0.355106962D-01  0.000000000D+00  0.888178420D-15
 0.931055816D-01  0.364876784D-01  0.000000000D+00  0.144328993D-14
 0.927183855D-01  0.374606593D-01  0.222044605D-15  0.999200722D-15
 0.923210217D-01  0.384295323D-01  0.222044605D-15  0.888178420D-15
 0.919135339D-01  0.393941910D-01  0.000000000D+00  0.222044605D-15
 0.914959668D-01  0.403545296D-01  0.222044605D-15  0.666133815D-15
 0.910683661D-01  0.413104430D-01  0.000000000D+00  0.133226763D-14
 0.906307787D-01  0.422618262D-01  0.000000000D+00  0.999200722D-15
 0.901832526D-01  0.432085749D-01  0.000000000D+00  0.888178420D-15
 0.897258370D-01  0.441505853D-01  0.222044605D-15  0.133226763D-14
 0.892585818D-01  0.450877541D-01  0.666133815D-15  0.999200722D-15
 0.887815385D-01  0.460199785D-01  0.222044605D-15  0.666133815D-15
 0.882947593D-01  0.469471563D-01  0.444089210D-15  0.666133815D-15
 0.877982975D-01  0.478691858D-01  0.222044605D-15  0.000000000D+00
 0.872922077D-01  0.487859659D-01  0.444089210D-15  0.122124533D-14
 0.867765453D-01  0.496973961D-01  0.222044605D-15  0.222044605D-15
 0.862513669D-01  0.506033764D-01  0.666133815D-15  0.444089210D-15
 0.857167301D-01  0.515038075D-01  0.000000000D+00  0.777156117D-15
 0.851726934D-01  0.523985906D-01  0.444089210D-15  0.288657986D-14
 0.846193166D-01  0.532876276D-01  0.000000000D+00  0.000000000D+00
 0.840566603D-01  0.541708210D-01  0.111022302D-15  0.666133815D-15
 0.834847863D-01  0.550480740D-01  0.222044605D-15  0.888178420D-15
 0.829037573D-01  0.559192903D-01  0.444089210D-15  0.122124533D-14
 0.823136369D-01  0.567843745D-01  0.222044605D-15  0.888178420D-15
 0.817144898D-01  0.576432316D-01  0.111022302D-15  0.222044605D-15
 0.811063819D-01  0.584957675D-01  0.000000000D+00  0.999200722D-15
 0.804893797D-01  0.593418887D-01  0.111022302D-15  0.122124533D-14
 0.798635510D-01  0.601815023D-01  0.444089210D-15  0.144328993D-14
 0.792289643D-01  0.610145164D-01  0.222044605D-15  0.888178420D-15
 0.785856893D-01  0.618408395D-01  0.333066907D-15  0.222044605D-15
 0.779337965D-01  0.626603811D-01  0.444089210D-15  0.111022302D-15
 0.772733573D-01  0.634730513D-01  0.000000000D+00  0.888178420D-15
 0.766044443D-01  0.642787610D-01  0.222044605D-15  0.666133815D-15
 0.759271307D-01  0.650774217D-01  0.222044605D-15  0.111022302D-14
 0.752414909D-01  0.658689460D-01  0.000000000D+00  0.333066907D-15
 0.745476000D-01  0.666532470D-01  0.444089210D-15  0.999200722D-15
 0.738455341D-01  0.674302388D-01  0.333066907D-15  0.111022302D-14
 0.731353702D-01  0.681998360D-01  0.222044605D-15  0.444089210D-15
 0.724171861D-01  0.689619544D-01  0.111022302D-15  0.111022302D-15
 0.716910608D-01  0.697165103D-01  0.222044605D-15  0.666133815D-15
 0.709570737D-01  0.704634210D-01  0.222044605D-15  0.188737914D-14
 0.702153053D-01  0.712026046D-01  0.333066907D-15  0.444089210D-15
 0.694658370D-01  0.719339800D-01  0.000000000D+00  0.999200722D-15
 0.687087511D-01  0.726574671D-01  0.222044605D-15  0.155431223D-14
 0.679441304D-01  0.733729865D-01  0.222044605D-15  0.144328993D-14
 0.671720589D-01  0.740804596D-01  0.111022302D-15  0.111022302D-15
 0.663926213D-01  0.747798090D-01  0.222044605D-15  0.166533454D-14
 0.656059029D-01  0.754709580D-01  0.222044605D-15  0.222044605D-15
 0.648119901D-01  0.761538308D-01  0.222044605D-15  0.122124533D-14
 0.640109699D-01  0.768283524D-01  0.444089210D-15  0.666133815D-15
 0.632029303D-01  0.774944489D-01  0.222044605D-15  0.111022302D-15
 0.623879597D-01  0.781520472D-01  0.444089210D-15  0.111022302D-15
 0.615661475D-01  0.788010754D-01  0.111022302D-15  0.111022302D-15
 0.607375840D-01  0.794414621D-01  0.000000000D+00  0.555111512D-15
 0.599023599D-01  0.800731371D-01  0.000000000D+00  0.222044605D-15
 0.590605668D-01  0.806960312D-01  0.222044605D-15  0.000000000D+00
 0.582122970D-01  0.813100761D-01  0.222044605D-15  0.888178420D-15
 0.573576436D-01  0.819152044D-01  0.222044605D-15  0.777156117D-15
 0.564967003D-01  0.825113498D-01  0.000000000D+00  0.222044605D-15
 0.556295616D-01  0.830984469D-01  0.333066907D-15  0.333066907D-15
 0.547563223D-01  0.836764313D-01  0.000000000D+00  0.222044605D-15
 0.538770785D-01  0.842452397D-01  0.222044605D-15  0.111022302D-14
 0.529919264D-01  0.848048096D-01  0.444089210D-15  0.222044605D-15
 0.521009632D-01  0.853550797D-01  0.000000000D+00  0.666133815D-15
 0.512042865D-01  0.858959897D-01  0.222044605D-15  0.888178420D-15
 0.503019947D-01  0.864274802D-01  0.000000000D+00  0.222044605D-15
 0.699893387D+00  0.122166845D-01  0.444089210D-15  0.131006317D-13
 0.699727081D+00  0.195451471D-01  0.444089210D-15  0.766053887D-14
 0.699484041D+00  0.268714664D-01  0.333066907D-15  0.177635684D-14
 0.699164296D+00  0.341948389D-01  0.333066907D-15  0.532907052D-14
 0.698767880D+00  0.415144615D-01  0.777156117D-15  0.133226763D-14
 0.698294835D+00  0.488295316D-01  0.000000000D+00  0.532907052D-14
 0.697745215D+00  0.561392470D-01  0.222044605D-15  0.333066907D-14
 0.697119079D+00  0.634428061D-01  0.222044605D-15  0.432986980D-14
 0.696416496D+00  0.707394080D-01  0.444089210D-15  0.632827124D-14
 0.695637543D+00  0.780282525D-01  0.122124533D-14  0.131006317D-13
 0.694782306D+00  0.853085404D-01  0.111022302D-15  0.488498131D-14
 0.693850878D+00  0.925794732D-01  0.111022302D-15  0.777156117D-14
 0.692843362D+00  0.998402536D-01  0.222044605D-15  0.821565038D-14
 0.691759867D+00  0.107090085D+00  0.222044605D-15  0.999200722D-15
 0.690600513D+00  0.114328174D+00  0.000000000D+00  0.244249065D-14
 0.689365427D+00  0.121553724D+00  0.111022302D-14  0.102140518D-13
 0.688054744D+00  0.128765945D+00  0.000000000D+00  0.128785871D-13
 0.686668609D+00  0.135964046D+00  0.000000000D+00  0.888178420D-15
 0.685207172D+00  0.143147236D+00  0.888178420D-15  0.643929354D-14
 0.683670595D+00  0.150314729D+00  0.222044605D-15  0.188737914D-13
 0.682059045D+00  0.157465738D+00  0.222044605D-15  0.139888101D-13
 0.680372700D+00  0.164599479D+00  0.444089210D-15  0.377475828D-14
 0.678611745D+00  0.171715170D+00  0.000000000D+00  0.577315973D-14
 0.676776372D+00  0.178812031D+00  0.000000000D+00  0.188737914D-14
 0.674866783D+00  0.185889282D+00  0.222044605D-15  0.466293670D-14
 0.672883187D+00  0.192946149D+00  0.222044605D-15  0.599520433D-14
 0.670825802D+00  0.199981857D+00  0.444089210D-15  0.488498131D-14
 0.668694853D+00  0.206995635D+00  0.444089210D-15  0.544009282D-14
 0.666490575D+00  0.213986713D+00  0.000000000D+00  0.943689571D-14
 0.664213208D+00  0.220954326D+00  0.222044605D-15  0.111022302D-13
 0.661863003D+00  0.227897708D+00  0.000000000D+00  0.510702591D-14
 0.659440217D+00  0.234816099D+00  0.444089210D-15  0.899280650D-14
 0.656945116D+00  0.241708739D+00  0.444089210D-15  0.173194792D-13
 0.654377973D+00  0.248574874D+00  0.444089210D-15  0.488498131D-14
 0.651739071D+00  0.255413749D+00  0.222044605D-15  0.555111512D-14
 0.649028698D+00  0.262224615D+00  0.444089210D-15  0.666133815D-15
 0.646247152D+00  0.269006726D+00  0.222044605D-15  0.510702591D-14
 0.643394737D+00  0.275759337D+00  0.000000000D+00  0.133226763D-14
 0.640471767D+00  0.282481707D+00  0.666133815D-15  0.126565425D-13
 0.637478563D+00  0.289173101D+00  0.000000000D+00  0.113242749D-13
 0.634415451D+00  0.295832783D+00  0.222044605D-15  0.255351296D-14
 0.631282768D+00  0.302460024D+00  0.222044605D-15  0.621724894D-14
 0.628080859D+00  0.309054097D+00  0.666133815D-15  0.777156117D-14
 0.624810073D+00  0.315614278D+00  0.222044605D-15  0.888178420D-15
 0.621470770D+00  0.322139849D+00  0.444089210D-15  0.821565038D-14
 0.618063315D+00  0.328630094D+00  0.222044605D-15  0.222044605D-15
 0.614588083D+00  0.335084301D+00  0.666133815D-15  0.499600361D-14
 0.611045454D+00  0.341501761D+00  0.444089210D-15  0.632827124D-14
 0.607435817D+00  0.347881773D+00  0.000000000D+00  0.355271368D-14
 0.603759568D+00  0.354223635D+00  0.222044605D-15  0.999200722D-14
 0.600017110D+00  0.360526652D+00  0.222044605D-15  0.444089210D-15
 0.596208854D+00  0.366790134D+00  0.222044605D-15  0.106581410D-13
 0.592335216D+00  0.373013393D+00  0.000000000D+00  0.888178420D-15
 0.588396622D+00  0.379195747D+00  0.000000000D+00  0.117683641D-13
 0.584393504D+00  0.385336518D+00  0.222044605D-15  0.432986980D-14
 0.580326301D+00  0.391435032D+00  0.000000000D+00  0.421884749D-14
 0.576195458D+00  0.397490622D+00  0.444089210D-15  0.399680289D-14
 0.572001429D+00  0.403502621D+00  0.222044605D-15  0.488498131D-14
 0.567744673D+00  0.409470372D+00  0.000000000D+00  0.444089210D-15
 0.563425658D+00  0.415393221D+00  0.222044605D-15  0.444089210D-15
 0.559044857D+00  0.421270516D+00  0.000000000D+00  0.266453526D-14
 0.554602750D+00  0.427101615D+00  0.666133815D-15  0.377475828D-14
 0.550099825D+00  0.432885877D+00  0.222044605D-15  0.155431223D-14
 0.545536575D+00  0.438622668D+00  0.444089210D-15  0.288657986D-14
 0.540913501D+00  0.444311359D+00  0.444089210D-15  0.155431223D-14
 0.536231110D+00  0.449951327D+00  0.222044605D-15  0.166533454D-14
 0.531489915D+00  0.455541952D+00  0.000000000D+00  0.333066907D-15
 0.526690436D+00  0.461082622D+00  0.444089210D-15  0.266453526D-14
 0.521833200D+00  0.466572729D+00  0.222044605D-15  0.488498131D-14
 0.516918738D+00  0.472011671D+00  0.444089210D-15  0.688338275D-14
 0.511947591D+00  0.477398852D+00  0.000000000D+00  0.688338275D-14
 0.506920303D+00  0.482733681D+00  0.222044605D-15  0.133226763D-14
 0.501837425D+00  0.488015572D+00  0.222044605D-15  0.544009282D-14
 0.496699516D+00  0.493243947D+00  0.666133815D-15  0.288657986D-14
 0.491507137D+00  0.498418232D+00  0.000000000D+00  0.222044605D-15
 0.486260859D+00  0.503537860D+00  0.444089210D-15  0.666133815D-15
 0.480961258D+00  0.508602270D+00  0.000000000D+00  0.000000000D+00
 0.475608913D+00  0.513610905D+00  0.222044605D-15  0.177635684D-14
 0.470204413D+00  0.518563217D+00  0.222044605D-15  0.155431223D-14
 0.464748349D+00  0.523458663D+00  0.666133815D-15  0.588418203D-14
 0.459241320D+00  0.528296706D+00  0.000000000D+00  0.555111512D-14
 0.453683931D+00  0.533076815D+00  0.444089210D-15  0.266453526D-14
 0.448076790D+00  0.537798467D+00  0.222044605D-15  0.266453526D-14
 0.442420512D+00  0.542461142D+00  0.222044605D-15  0.333066907D-14
 0.436715718D+00  0.547064331D+00  0.222044605D-15  0.666133815D-15
 0.430963033D+00  0.551607528D+00  0.000000000D+00  0.544009282D-14
 0.425163088D+00  0.556090234D+00  0.444089210D-15  0.233146835D-14
 0.419316519D+00  0.560511960D+00  0.000000000D+00  0.244249065D-14
 0.413423967D+00  0.564872219D+00  0.000000000D+00  0.666133815D-15
 0.407486079D+00  0.569170533D+00  0.222044605D-15  0.466293670D-14
 0.401503505D+00  0.573406431D+00  0.666133815D-15  0.244249065D-14
 0.395476902D+00  0.577579449D+00  0.222044605D-15  0.133226763D-14
 0.389406931D+00  0.581689128D+00  0.000000000D+00  0.255351296D-14
 0.383294256D+00  0.585735019D+00  0.000000000D+00  0.000000000D+00
 0.377139550D+00  0.589716678D+00  0.222044605D-15  0.477395901D-14
 0.370943485D+00  0.593633667D+00  0.444089210D-15  0.255351296D-14
 0.364706742D+00  0.597485558D+00  0.444089210D-15  0.244249065D-14
 0.358430005D+00  0.601271928D+00  0.666133815D-15  0.555111512D-15
 0.352113963D+00  0.604992361D+00  0.222044605D-15  0.155431223D-14
 0.129980200D+01  0.226881284D-01  0.666133815D-15  0.160982339D-13
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 0.188832361D+02  0.226643639D+02  0.222044605D-15  0.222044605D-15
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 0.184044481D+02  0.230548539D+02  0.666133815D-15  0.666133815D-15
 0.181620135D+02  0.232463172D+02  0.222044605D-15  0.888178420D-15
 0.179175873D+02  0.234352313D+02  0.444089210D-15  0.666133815D-15
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 0.174228672D+02  0.238053292D+02  0.222044605D-15  0.222044605D-15
 0.171726276D+02  0.239864725D+02  0.000000000D+00  0.444089210D-15
 0.169205049D+02  0.241649853D+02  0.222044605D-15  0.888178420D-15
 0.166665266D+02  0.243408482D+02  0.555111512D-15  0.666133815D-15
 0.164107207D+02  0.245140418D+02  0.222044605D-15  0.666133815D-15
 0.161531151D+02  0.246845472D+02  0.444089210D-15  0.222044605D-15
 0.158937382D+02  0.248523457D+02  0.000000000D+00  0.888178420D-15
 0.156326183D+02  0.250174188D+02  0.000000000D+00  0.888178420D-15
 0.153697841D+02  0.251797485D+02  0.222044605D-15  0.000000000D+00
 0.151052645D+02  0.253393170D+02  0.666133815D-15  0.444089210D-15
 0.148390884D+02  0.254961067D+02  0.222044605D-15  0.444089210D-15
  
 MAXIMUM VALUE OF THE MODULUS OF THE CHECK =    1.7652546091540D-14
  
 MAXIMUM VALUE OF THE PHASE OF THE CHECK =    2.3736568266486D-13
