Heating rate debug: z,pheatz,lheatz,heat,pi_energy (erg cm-3 s-1) 9.438700E+07, 8.434679E-08, 1.136889E-96, 4.091629E-08, 2.514216E-09, 9.439714E+07, 8.920290E-08, 2.250721E-93, 4.331365E-08, 2.575587E-09, 9.440742E+07, 9.102846E-08, 5.985530E-90, 4.419093E-08, 2.646590E-09, 9.441785E+07, 9.353051E-08, 1.337031E-86, 4.539273E-08, 2.745055E-09, 9.442842E+07, 9.514699E-08, 2.401677E-83, 4.616489E-08, 2.817209E-09, 9.443914E+07, 9.757736E-08, 3.536360E-80, 4.733185E-08, 2.913655E-09, 9.445001E+07, 9.905450E-08, 4.200118E-77, 4.803631E-08, 2.981868E-09, 9.446103E+07, 1.014075E-07, 4.104752E-74, 4.916543E-08, 3.076642E-09, 9.447221E+07, 1.026931E-07, 3.245718E-71, 4.977695E-08, 3.139211E-09, 9.448354E+07, 1.049170E-07, 2.120951E-68, 5.084315E-08, 3.230656E-09, 9.449503E+07, 1.059606E-07, 1.125386E-65, 5.133731E-08, 3.285989E-09, 9.450669E+07, 1.080116E-07, 4.958731E-63, 5.231935E-08, 3.372867E-09, 9.451850E+07, 1.087744E-07, 1.781336E-60, 5.267723E-08, 3.419931E-09, 9.453048E+07, 1.106221E-07, 5.342392E-58, 5.356020E-08, 3.501676E-09, 9.454263E+07, 1.110830E-07, 1.312131E-55, 5.377134E-08, 3.540297E-09, 9.455495E+07, 1.127167E-07, 2.706138E-53, 5.454966E-08, 3.617343E-09, 9.456744E+07, 1.128785E-07, 4.592985E-51, 5.461501E-08, 3.648523E-09, 9.458011E+07, 1.143134E-07, 6.586781E-49, 5.529541E-08, 3.722631E-09, 9.459295E+07, 1.142081E-07, 7.814562E-47, 5.522967E-08, 3.748813E-09, 9.460597E+07, 1.154900E-07, 7.885692E-45, 5.583334E-08, 3.823313E-09, 9.461918E+07, 1.151805E-07, 6.619921E-43, 5.566599E-08, 3.848483E-09, 9.463257E+07, 1.163861E-07, 4.759834E-41, 5.622888E-08, 3.928297E-09, 9.464615E+07, 1.159632E-07, 2.863914E-39, 5.600271E-08, 3.957789E-09, 9.465992E+07, 1.171951E-07, 1.486654E-37, 5.657302E-08, 4.049100E-09, 9.467388E+07, 1.167679E-07, 6.497555E-36, 5.633943E-08, 4.088999E-09, 9.468803E+07, 1.181417E-07, 2.468554E-34, 5.697163E-08, 4.198488E-09, 9.470239E+07, 1.178197E-07, 7.946558E-33, 5.678253E-08, 4.254605E-09, 9.471694E+07, 1.194446E-07, 2.240968E-31, 5.752813E-08, 4.388283E-09, 9.473170E+07, 1.193157E-07, 5.389704E-30, 5.742542E-08, 4.464836E-09, 9.474667E+07, 1.212707E-07, 1.144617E-28, 5.832199E-08, 4.626662E-09, 9.476184E+07, 1.213788E-07, 2.086968E-27, 5.832689E-08, 4.724978E-09, 9.477723E+07, 1.236919E-07, 3.387216E-26, 5.938813E-08, 4.915688E-09, 9.479283E+07, 1.240216E-07, 4.751833E-25, 5.949406E-08, 5.033479E-09, 9.480866E+07, 1.266614E-07, 5.982702E-24, 6.070553E-08, 5.250373E-09, 9.482470E+07, 1.271429E-07, 6.555147E-23, 6.088017E-08, 5.382595E-09, 9.484097E+07, 1.300380E-07, 6.499127E-22, 6.220815E-08, 5.621686E-09, 9.485746E+07, 1.305920E-07, 5.646082E-21, 6.241363E-08, 5.764758E-09, 9.487419E+07, 1.337043E-07, 4.475118E-20, 6.383834E-08, 6.027666E-09, 9.489115E+07, 1.343526E-07, 3.129377E-19, 6.408147E-08, 6.189667E-09, 9.490835E+07, 1.378343E-07, 2.013080E-18, 6.566807E-08, 6.498175E-09, 9.492579E+07, 1.388960E-07, 1.150439E-17, 6.608949E-08, 6.717022E-09, 9.494347E+07, 1.433362E-07, 6.098985E-17, 6.810001E-08, 7.136133E-09, 9.496140E+07, 1.456846E-07, 2.893293E-16, 6.909060E-08, 7.503443E-09, 9.497958E+07, 1.523853E-07, 1.284727E-15, 7.210908E-08, 8.167108E-09, 9.499802E+07, 1.576518E-07, 5.147261E-15, 7.440247E-08, 8.846811E-09, 9.501671E+07, 1.687717E-07, 1.950965E-14, 7.940050E-08, 9.970670E-09, 9.503567E+07, 1.793003E-07, 6.745080E-14, 8.405345E-08, 1.119339E-08, 9.505489E+07, 1.976521E-07, 2.237221E-13, 9.229923E-08, 1.305369E-08, 9.507438E+07, 2.160302E-07, 6.869158E-13, 1.004802E-07, 1.506981E-08, 9.509414E+07, 2.444054E-07, 2.058758E-12, 1.132345E-07, 1.793640E-08, 9.511418E+07, 2.725738E-07, 5.804310E-12, 1.258226E-07, 2.092859E-08, 9.513450E+07, 3.127116E-07, 1.620727E-11, 1.438739E-07, 2.496382E-08, 9.515511E+07, 3.509355E-07, 4.292767E-11, 1.609944E-07, 2.894680E-08, 9.517600E+07, 4.025220E-07, 1.129133E-10, 1.842068E-07, 3.410843E-08, 9.519719E+07, 4.486911E-07, 2.805027E-10, 2.049143E-07, 3.886249E-08, 9.521867E+07, 5.088737E-07, 6.868928E-10, 2.320073E-07, 4.485919E-08, 9.524045E+07, 5.585499E-07, 1.573809E-09, 2.543052E-07, 4.993943E-08, 9.526254E+07, 6.222993E-07, 3.527531E-09, 2.830134E-07, 5.627260E-08, 9.528494E+07, 6.696380E-07, 7.353039E-09, 3.042652E-07, 6.110760E-08, 9.530765E+07, 7.309341E-07, 1.494983E-08, 3.318678E-07, 6.719847E-08, 9.533068E+07, 7.702072E-07, 2.823278E-08, 3.494782E-07, 7.125082E-08, 9.535403E+07, 8.236294E-07, 5.205897E-08, 3.735108E-07, 7.660775E-08, 9.537771E+07, 8.507427E-07, 8.934236E-08, 3.856066E-07, 7.952947E-08, 9.540172E+07, 8.927899E-07, 1.501882E-07, 4.044556E-07, 8.387877E-08, 9.542607E+07, 9.061333E-07, 2.358375E-07, 4.102737E-07, 8.558587E-08, 9.545075E+07, 9.357246E-07, 3.642304E-07, 4.234096E-07, 8.890531E-08, 9.547579E+07, 9.361196E-07, 5.277273E-07, 4.232828E-07, 8.955394E-08, 9.550117E+07, 9.543996E-07, 7.552120E-07, 4.311780E-07, 9.204352E-08, 9.552691E+07, 9.447356E-07, 1.018474E-06, 4.263648E-07, 9.200598E-08, 9.555301E+07, 9.550390E-07, 1.362110E-06, 4.304550E-07, 9.412890E-08, 9.557947E+07, 9.404601E-07, 1.724355E-06, 4.231863E-07, 9.408744E-08, 9.560630E+07, 9.488770E-07, 2.172796E-06, 4.260802E-07, 9.671663E-08, 9.563351E+07, 9.371248E-07, 2.602709E-06, 4.196831E-07, 9.775853E-08, 9.566111E+07, 9.523386E-07, 3.113244E-06, 4.250917E-07, 1.021552E-07, 9.568908E+07, 9.523651E-07, 3.554589E-06, 4.234228E-07, 1.055195E-07, 9.571745E+07, 9.830006E-07, 4.063884E-06, 4.350780E-07, 1.128447E-07, 9.574622E+07, 1.001294E-06, 4.452068E-06, 4.410143E-07, 1.192652E-07, 9.577539E+07, 1.051825E-06, 4.894867E-06, 4.609778E-07, 1.298690E-07, 9.580497E+07, 1.089139E-06, 5.175758E-06, 4.750488E-07, 1.390412E-07, 9.583496E+07, 1.157818E-06, 5.502251E-06, 5.028253E-07, 1.521673E-07, 9.586537E+07, 1.209310E-06, 5.644866E-06, 5.232296E-07, 1.628508E-07, 9.589621E+07, 1.289918E-06, 5.830102E-06, 5.564488E-07, 1.770203E-07, 9.592747E+07, 1.348575E-06, 5.829731E-06, 5.804434E-07, 1.876884E-07, 9.595918E+07, 1.434526E-06, 5.873804E-06, 6.165432E-07, 2.014399E-07, 9.599133E+07, 1.495256E-06, 5.747210E-06, 6.421465E-07, 2.109628E-07, 9.602393E+07, 1.582967E-06, 5.669024E-06, 6.797924E-07, 2.233822E-07, 9.605699E+07, 1.644316E-06, 5.445794E-06, 7.065398E-07, 2.312364E-07, 9.609051E+07, 1.733124E-06, 5.274638E-06, 7.456343E-07, 2.418555E-07, 9.612450E+07, 1.795111E-06, 4.988684E-06, 7.736978E-07, 2.477154E-07, 9.615896E+07, 1.883705E-06, 4.756632E-06, 8.138606E-07, 2.559839E-07, 9.619391E+07, 1.943432E-06, 4.439958E-06, 8.421269E-07, 2.591780E-07, 9.622935E+07, 2.025699E-06, 4.176805E-06, 8.808107E-07, 2.640780E-07, 9.626528E+07, 2.074800E-06, 3.856094E-06, 9.056235E-07, 2.635527E-07, 9.630172E+07, 2.139538E-06, 3.586552E-06, 9.378041E-07, 2.639298E-07, 9.633866E+07, 2.166529E-06, 3.281785E-06, 9.538314E-07, 2.588659E-07, 9.637613E+07, 2.202024E-06, 3.024233E-06, 9.739057E-07, 2.542124E-07, 9.641411E+07, 2.198023E-06, 2.748435E-06, 9.766442E-07, 2.447341E-07, 9.645263E+07, 2.197721E-06, 2.514624E-06, 9.810353E-07, 2.356506E-07, 9.649169E+07, 2.160877E-06, 2.274696E-06, 9.689828E-07, 2.229116E-07, 9.653130E+07, 2.126340E-06, 2.070962E-06, 9.577231E-07, 2.108938E-07, 9.657146E+07, 2.061089E-06, 1.867666E-06, 9.322877E-07, 1.965141E-07, 9.661218E+07, 1.999629E-06, 1.695208E-06, 9.081650E-07, 1.832990E-07, 9.665347E+07, 1.915750E-06, 1.527189E-06, 8.733773E-07, 1.689958E-07, 9.669534E+07, 1.837446E-06, 1.384241E-06, 8.406861E-07, 1.560736E-07, 9.673780E+07, 1.744326E-06, 1.247711E-06, 8.008277E-07, 1.426711E-07, 9.678085E+07, 1.658126E-06, 1.131302E-06, 7.638281E-07, 1.304702E-07, 9.682451E+07, 1.563609E-06, 1.021724E-06, 7.226547E-07, 1.183000E-07, 9.686877E+07, 1.477269E-06, 9.278401E-07, 6.848816E-07, 1.075059E-07, 9.691366E+07, 1.387718E-06, 8.402971E-07, 6.451955E-07, 9.732675E-08, 9.695917E+07, 1.306733E-06, 7.648619E-07, 6.090758E-07, 8.858183E-08, 9.700532E+07, 1.225615E-06, 6.950821E-07, 5.725141E-07, 8.058699E-08, 9.705212E+07, 1.152490E-06, 6.347098E-07, 5.393633E-07, 7.376295E-08, 9.709957E+07, 1.080860E-06, 5.793078E-07, 5.066422E-07, 6.757607E-08, 9.714768E+07, 1.016304E-06, 5.312893E-07, 4.770089E-07, 6.228652E-08, 9.719647E+07, 9.540701E-07, 4.876147E-07, 4.482694E-07, 5.753124E-08, 9.724594E+07, 8.979327E-07, 4.498449E-07, 4.222232E-07, 5.348628E-08, 9.729611E+07, 8.444410E-07, 4.159259E-07, 3.972705E-07, 4.990000E-08, 9.734698E+07, 7.961011E-07, 3.868862E-07, 3.746088E-07, 4.688349E-08, 9.739856E+07, 7.504072E-07, 3.613424E-07, 3.530771E-07, 4.425299E-08, 9.745086E+07, 7.089867E-07, 3.399726E-07, 3.334561E-07, 4.207439E-08, 9.750389E+07, 6.700273E-07, 3.218277E-07, 3.149080E-07, 4.021120E-08, 9.755767E+07, 6.345727E-07, 3.073433E-07, 2.979353E-07, 3.870213E-08, 9.761220E+07, 6.013173E-07, 2.958326E-07, 2.819359E-07, 3.744553E-08, 9.766749E+07, 5.709029E-07, 2.875428E-07, 2.672198E-07, 3.646328E-08, 9.772356E+07, 5.423809E-07, 2.819285E-07, 2.533509E-07, 3.567903E-08, 9.778041E+07, 5.161252E-07, 2.790862E-07, 2.405104E-07, 3.510442E-08, 9.783806E+07, 4.914534E-07, 2.785449E-07, 2.283856E-07, 3.468222E-08, 9.789651E+07, 4.685830E-07, 2.802905E-07, 2.170823E-07, 3.441839E-08, 9.795579E+07, 4.470286E-07, 2.838905E-07, 2.063795E-07, 3.426960E-08, 9.801589E+07, 4.269005E-07, 2.892400E-07, 1.963316E-07, 3.423738E-08, 9.807683E+07, 4.078517E-07, 2.959257E-07, 1.867818E-07, 3.428815E-08, 9.813863E+07, 3.899288E-07, 3.037767E-07, 1.777543E-07, 3.442018E-08, 9.820129E+07, 3.728856E-07, 3.123976E-07, 1.691394E-07, 3.460682E-08, 9.826483E+07, 3.567445E-07, 3.215882E-07, 1.609499E-07, 3.484476E-08, 9.832926E+07, 3.413484E-07, 3.309998E-07, 1.531174E-07, 3.511349E-08, 9.839460E+07, 3.267038E-07, 3.404327E-07, 1.456478E-07, 3.540830E-08, 9.846084E+07, 3.127026E-07, 3.495883E-07, 1.384951E-07, 3.571250E-08, 9.852802E+07, 2.993380E-07, 3.582851E-07, 1.316588E-07, 3.602046E-08, 9.859613E+07, 2.865336E-07, 3.662826E-07, 1.251074E-07, 3.631879E-08, 9.866520E+07, 2.742747E-07, 3.734314E-07, 1.188364E-07, 3.660182E-08, 9.873523E+07, 2.625057E-07, 3.795524E-07, 1.128234E-07, 3.685900E-08, 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