last-generated=2025-05-20
statistics-simulation=
{
  "linear": " ",
  "nonlinear": "1",
  "numerical Jacobians": "0"
}
time=[0e+00, 1.728000030517578e+02, 3.456000061035156e+02, 5.184000244140625e+02, 6.912000122070312e+02, 8.64e+02, 1.036800048828125e+03, 1.209599975585938e+03, 1.382400024414062e+03, 1.555199951171875e+03, 1.728e+03, 1.900800048828125e+03, 2.07360009765625e+03, 2.24639990234375e+03, 2.419199951171875e+03, 2.592e+03, 2.764800048828125e+03, 2.93760009765625e+03, 3.11039990234375e+03, 3.283199951171875e+03, 3.456e+03, 3.628800048828125e+03, 3.80160009765625e+03, 3.97439990234375e+03, 4.1472001953125e+03, 4.32e+03, 4.4927998046875e+03, 4.66560009765625e+03, 4.83839990234375e+03, 5.0112001953125e+03, 5.184e+03, 5.3567998046875e+03, 5.52960009765625e+03, 5.70239990234375e+03, 5.8752001953125e+03, 6.048e+03, 6.2207998046875e+03, 6.39360009765625e+03, 6.56639990234375e+03, 6.7392001953125e+03, 6.912e+03, 7.0847998046875e+03, 7.25760009765625e+03, 7.43039990234375e+03, 7.6032001953125e+03, 7.776e+03, 7.9487998046875e+03, 8.12160009765625e+03, 8.294400390625e+03, 8.4672001953125e+03, 8.64e+03, 8.8127998046875e+03, 8.985599609375e+03, 9.158400390625e+03, 9.3312001953125e+03, 9.504e+03, 9.6767998046875e+03, 9.849599609375e+03, 1.0022400390625e+04, 1.01952001953125e+04, 1.0368e+04, 1.05407998046875e+04, 1.0713599609375e+04, 1.0886400390625e+04, 1.10592001953125e+04, 1.1232e+04, 1.14047998046875e+04, 1.1577599609375e+04, 1.1750400390625e+04, 1.19232001953125e+04, 1.2096e+04, 1.22687998046875e+04, 1.2441599609375e+04, 1.2614400390625e+04, 1.27872001953125e+04, 1.296e+04, 1.31327998046875e+04, 1.3305599609375e+04, 1.3478400390625e+04, 1.36512001953125e+04, 1.3824e+04, 1.39967998046875e+04, 1.4169599609375e+04, 1.4342400390625e+04, 1.45152001953125e+04, 1.4688e+04, 1.48607998046875e+04, 1.5033599609375e+04, 1.5206400390625e+04, 1.53792001953125e+04, 1.5552e+04, 1.57247998046875e+04, 1.5897599609375e+04, 1.6070400390625e+04, 1.62432001953125e+04, 1.6416e+04, 1.658880078125e+04, 1.6761599609375e+04, 1.6934400390625e+04, 1.710719921875e+04, 1.728e+04, 1.745280078125e+04, 1.7625599609375e+04, 1.7798400390625e+04, 1.797119921875e+04, 1.8144e+04, 1.831680078125e+04, 1.8489599609375e+04, 1.8662400390625e+04, 1.883519921875e+04, 1.9008e+04, 1.918080078125e+04, 1.9353599609375e+04, 1.9526400390625e+04, 1.969919921875e+04, 1.9872e+04, 2.004480078125e+04, 2.0217599609375e+04, 2.0390400390625e+04, 2.056319921875e+04, 2.0736e+04, 2.090880078125e+04, 2.1081599609375e+04, 2.1254400390625e+04, 2.142719921875e+04, 2.16e+04, 2.177280078125e+04, 2.1945599609375e+04, 2.2118400390625e+04, 2.229119921875e+04, 2.2464e+04, 2.263680078125e+04, 2.2809599609375e+04, 2.2982400390625e+04, 2.315519921875e+04, 2.3328e+04, 2.350080078125e+04, 2.3673599609375e+04, 2.3846400390625e+04, 2.401919921875e+04, 2.4192e+04, 2.436480078125e+04, 2.4537599609375e+04, 2.4710400390625e+04, 2.488319921875e+04, 2.5056e+04, 2.522880078125e+04, 2.5401599609375e+04, 2.5574400390625e+04, 2.574719921875e+04, 2.592e+04, 2.609280078125e+04, 2.6265599609375e+04, 2.6438400390625e+04, 2.661119921875e+04, 2.6784e+04, 2.695680078125e+04, 2.7129599609375e+04, 2.7302400390625e+04, 2.747519921875e+04, 2.7648e+04, 2.782080078125e+04, 2.7993599609375e+04, 2.8166400390625e+04, 2.833919921875e+04, 2.8512e+04, 2.868480078125e+04, 2.8857599609375e+04, 2.9030400390625e+04, 2.920319921875e+04, 2.9376e+04, 2.954880078125e+04, 2.9721599609375e+04, 2.9894400390625e+04, 3.006719921875e+04, 3.024e+04, 3.041280078125e+04, 3.0585599609375e+04, 3.0758400390625e+04, 3.093119921875e+04, 3.1104e+04, 3.127680078125e+04, 3.1449599609375e+04, 3.1622400390625e+04, 3.179519921875e+04, 3.1968e+04, 3.214080078125e+04, 3.2313599609375e+04, 3.2486400390625e+04, 3.265919921875e+04, 3.2832e+04, 3.300480078125e+04, 3.31776015625e+04, 3.33503984375e+04, 3.352319921875e+04, 3.3696e+04, 3.386880078125e+04, 3.40416015625e+04, 3.42143984375e+04, 3.438719921875e+04, 3.456e+04, 3.473280078125e+04, 3.49056015625e+04, 3.50783984375e+04, 3.525119921875e+04, 3.5424e+04, 3.559680078125e+04, 3.57696015625e+04, 3.59423984375e+04, 3.611519921875e+04, 3.6288e+04, 3.646080078125e+04, 3.66336015625e+04, 3.68063984375e+04, 3.697919921875e+04, 3.7152e+04, 3.732480078125e+04, 3.74976015625e+04, 3.76703984375e+04, 3.784319921875e+04, 3.8016e+04, 3.818880078125e+04, 3.83616015625e+04, 3.85343984375e+04, 3.870719921875e+04, 3.888e+04, 3.905280078125e+04, 3.92256015625e+04, 3.93983984375e+04, 3.957119921875e+04, 3.9744e+04, 3.991680078125e+04, 4.00896015625e+04, 4.02623984375e+04, 4.043519921875e+04, 4.0608e+04, 4.078080078125e+04, 4.09536015625e+04, 4.11263984375e+04, 4.129919921875e+04, 4.1472e+04, 4.164480078125e+04, 4.18176015625e+04, 4.19903984375e+04, 4.216319921875e+04, 4.2336e+04, 4.250880078125e+04, 4.26816015625e+04, 4.28543984375e+04, 4.302719921875e+04, 4.32e+04, 4.337280078125e+04, 4.35456015625e+04, 4.37183984375e+04, 4.389119921875e+04, 4.4064e+04, 4.423680078125e+04, 4.44096015625e+04, 4.45823984375e+04, 4.475519921875e+04, 4.4928e+04, 4.510080078125e+04, 4.52736015625e+04, 4.54463984375e+04, 4.561919921875e+04, 4.5792e+04, 4.596480078125e+04, 4.61376015625e+04, 4.63103984375e+04, 4.648319921875e+04, 4.6656e+04, 4.682880078125e+04, 4.70016015625e+04, 4.71743984375e+04, 4.734719921875e+04, 4.752e+04, 4.769280078125e+04, 4.78656015625e+04, 4.80383984375e+04, 4.821119921875e+04, 4.8384e+04, 4.855680078125e+04, 4.87296015625e+04, 4.89023984375e+04, 4.907519921875e+04, 4.9248e+04, 4.942080078125e+04, 4.95936015625e+04, 4.97663984375e+04, 4.993919921875e+04, 5.0112e+04, 5.028480078125e+04, 5.04576015625e+04, 5.06303984375e+04, 5.080319921875e+04, 5.0976e+04, 5.114880078125e+04, 5.13216015625e+04, 5.14943984375e+04, 5.166719921875e+04, 5.184e+04, 5.201280078125e+04, 5.21856015625e+04, 5.23583984375e+04, 5.253119921875e+04, 5.2704e+04, 5.287680078125e+04, 5.30496015625e+04, 5.32223984375e+04, 5.339519921875e+04, 5.3568e+04, 5.374080078125e+04, 5.39136015625e+04, 5.40863984375e+04, 5.425919921875e+04, 5.4432e+04, 5.460480078125e+04, 5.47776015625e+04, 5.49503984375e+04, 5.512319921875e+04, 5.5296e+04, 5.546880078125e+04, 5.56416015625e+04, 5.58143984375e+04, 5.598719921875e+04, 5.616e+04, 5.633280078125e+04, 5.65056015625e+04, 5.66783984375e+04, 5.685119921875e+04, 5.7024e+04, 5.719680078125e+04, 5.73696015625e+04, 5.75423984375e+04, 5.771519921875e+04, 5.7888e+04, 5.806080078125e+04, 5.82336015625e+04, 5.84063984375e+04, 5.857919921875e+04, 5.8752e+04, 5.892480078125e+04, 5.90976015625e+04, 5.92703984375e+04, 5.944319921875e+04, 5.9616e+04, 5.978880078125e+04, 5.99616015625e+04, 6.01343984375e+04, 6.030719921875e+04, 6.048e+04, 6.065280078125e+04, 6.08256015625e+04, 6.09983984375e+04, 6.117119921875e+04, 6.1344e+04, 6.151680078125e+04, 6.16896015625e+04, 6.18623984375e+04, 6.203519921875e+04, 6.2208e+04, 6.238080078125e+04, 6.25536015625e+04, 6.27263984375e+04, 6.289919921875e+04, 6.3072e+04, 6.324480078125e+04, 6.34176015625e+04, 6.35903984375e+04, 6.376319921875e+04, 6.3936e+04, 6.410880078125e+04, 6.42816015625e+04, 6.44543984375e+04, 6.462719921875e+04, 6.48e+04, 6.497280078125e+04, 6.51456015625e+04, 6.53183984375e+04, 6.549119921875e+04, 6.5664e+04, 6.5836796875e+04, 6.60096015625e+04, 6.61823984375e+04, 6.6355203125e+04, 6.6528e+04, 6.6700796875e+04, 6.68736015625e+04, 6.70463984375e+04, 6.7219203125e+04, 6.7392e+04, 6.7564796875e+04, 6.77376015625e+04, 6.79103984375e+04, 6.8083203125e+04, 6.8256e+04, 6.8428796875e+04, 6.86016015625e+04, 6.87743984375e+04, 6.8947203125e+04, 6.912e+04, 6.9292796875e+04, 6.94656015625e+04, 6.96383984375e+04, 6.9811203125e+04, 6.9984e+04, 7.0156796875e+04, 7.03296015625e+04, 7.05023984375e+04, 7.0675203125e+04, 7.0848e+04, 7.1020796875e+04, 7.11936015625e+04, 7.13663984375e+04, 7.1539203125e+04, 7.1712e+04, 7.1884796875e+04, 7.20576015625e+04, 7.22303984375e+04, 7.2403203125e+04, 7.2576e+04, 7.2748796875e+04, 7.29216015625e+04, 7.30943984375e+04, 7.3267203125e+04, 7.344e+04, 7.3612796875e+04, 7.37856015625e+04, 7.39583984375e+04, 7.4131203125e+04, 7.4304e+04, 7.4476796875e+04, 7.46496015625e+04, 7.48223984375e+04, 7.4995203125e+04, 7.5168e+04, 7.5340796875e+04, 7.55136015625e+04, 7.56863984375e+04, 7.5859203125e+04, 7.6032e+04, 7.6204796875e+04, 7.63776015625e+04, 7.65503984375e+04, 7.6723203125e+04, 7.6896e+04, 7.7068796875e+04, 7.72416015625e+04, 7.74143984375e+04, 7.7587203125e+04, 7.776e+04, 7.7932796875e+04, 7.81056015625e+04, 7.82783984375e+04, 7.8451203125e+04, 7.8624e+04, 7.8796796875e+04, 7.89696015625e+04, 7.91423984375e+04, 7.9315203125e+04, 7.9488e+04, 7.9660796875e+04, 7.98336015625e+04, 8.00063984375e+04, 8.0179203125e+04, 8.0352e+04, 8.0524796875e+04, 8.06976015625e+04, 8.08703984375e+04, 8.1043203125e+04, 8.1216e+04, 8.1388796875e+04, 8.15616015625e+04, 8.17343984375e+04, 8.1907203125e+04, 8.208e+04, 8.2252796875e+04, 8.24256015625e+04, 8.25983984375e+04, 8.2771203125e+04, 8.2944e+04, 8.3116796875e+04, 8.32896015625e+04, 8.34623984375e+04, 8.3635203125e+04, 8.3808e+04, 8.3980796875e+04, 8.41536015625e+04, 8.43263984375e+04, 8.4499203125e+04, 8.4672e+04, 8.4844796875e+04, 8.50176015625e+04, 8.51903984375e+04, 8.5363203125e+04, 8.5536e+04, 8.5708796875e+04, 8.58816015625e+04, 8.60543984375e+04, 8.6227203125e+04, 8.64e+04, 8.64e+04]
sha[1].HDirTil=[-0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 7.313138246536255e-01, 6.801205158233643e+00, 1.141799068450928e+01, 1.365306282043457e+01, 1.773114776611328e+01, 2.360735511779785e+01, 3.117090225219727e+01, 4.031244277954102e+01, 5.088212585449219e+01, 6.267668151855469e+01, 7.533341979980469e+01, 8.886415863037109e+01, 1.031212921142578e+02, 1.178781280517578e+02, 1.329478912353516e+02, 1.481397399902344e+02, 1.632590789794922e+02, 1.781078338623047e+02, 1.924846496582031e+02, 2.061851043701172e+02, 2.190020446777344e+02, 2.307256622314453e+02, 2.411437377929688e+02, 2.500418701171875e+02, 2.579316101074219e+02, 2.657259216308594e+02, 2.734281616210938e+02, 2.810360412597656e+02, 2.885473022460938e+02, 2.959597778320312e+02, 3.032713623046875e+02, 3.104800109863281e+02, 3.175838317871094e+02, 3.245809326171875e+02, 3.31469482421875e+02, 3.382477722167969e+02, 3.449141540527344e+02, 3.51467041015625e+02, 3.579048767089844e+02, 3.642262878417969e+02, 3.704298400878906e+02, 3.765142517089844e+02, 3.82478271484375e+02, 3.883207702636719e+02, 3.940407104492188e+02, 3.996553344726562e+02, 4.051675109863281e+02, 4.105630187988281e+02, 4.1582763671875e+02, 4.209471435546875e+02, 4.259071960449219e+02, 4.30693603515625e+02, 4.352920532226562e+02, 4.396882934570312e+02, 4.438681335449219e+02, 4.478173522949219e+02, 4.515218505859375e+02, 4.549680480957031e+02, 4.581421203613281e+02, 4.610286865234375e+02, 4.636129760742188e+02, 4.658819274902344e+02, 4.678232116699219e+02, 4.694247131347656e+02, 4.70673828125e+02, 4.715417175292969e+02, 4.716812744140625e+02, 4.70984375e+02, 4.694904174804688e+02, 4.67239013671875e+02, 4.642700500488281e+02, 4.606237487792969e+02, 4.56340576171875e+02, 4.514612121582031e+02, 4.460267028808594e+02, 4.400782165527344e+02, 4.336572570800781e+02, 4.268056335449219e+02, 4.195653991699219e+02, 4.119790344238281e+02, 4.040894470214844e+02, 3.959401550292969e+02, 3.875756225585938e+02, 3.790414428710938e+02, 3.703850402832031e+02, 3.616566162109375e+02, 3.52810546875e+02, 3.431204528808594e+02, 3.324327087402344e+02, 3.208526611328125e+02, 3.085021667480469e+02, 2.955033264160156e+02, 2.819784851074219e+02, 2.680503540039062e+02, 2.538318023681641e+02, 2.394669189453125e+02, 2.250740966796875e+02, 2.107611541748047e+02, 1.966592559814453e+02, 1.828911590576172e+02, 1.695794525146484e+02, 1.568464508056641e+02, 1.448142395019531e+02, 1.336134948730469e+02, 1.233891448974609e+02, 1.1424267578125e+02, 1.062878799438477e+02, 9.946950531005859e+01, 9.310640716552734e+01, 8.71090087890625e+01, 8.147219848632812e+01, 7.619139099121094e+01, 7.126235961914062e+01, 6.668111419677734e+01, 6.244379425048828e+01, 5.854662704467773e+01, 5.498588180541992e+01, 5.17578239440918e+01, 4.885870742797852e+01, 4.628474426269531e+01, 4.403209686279297e+01, 4.209687042236328e+01, 4.047509384155273e+01, 3.91627197265625e+01, 3.815561294555664e+01, 3.74495735168457e+01, 3.704031753540039e+01, 3.692344665527344e+01, 3.714603805541992e+01, 3.780406951904297e+01, 3.884900283813477e+01, 4.022607421875e+01, 4.188066101074219e+01, 4.375821685791016e+01, 4.580415344238281e+01, 4.796396636962891e+01, 5.018334197998047e+01, 5.240816879272461e+01, 5.458456039428711e+01, 5.665888595581055e+01, 5.857783889770508e+01, 6.028844451904297e+01, 6.173813247680664e+01, 6.28747444152832e+01, 6.364662170410156e+01, 6.400260925292969e+01, 6.389212036132812e+01, 6.326519012451172e+01, 6.2072509765625e+01, 6.048066711425781e+01, 5.877444839477539e+01, 5.696900939941406e+01, 5.507775115966797e+01, 5.3114013671875e+01, 5.10910530090332e+01, 4.902204513549805e+01, 4.692007064819336e+01, 4.47981071472168e+01, 4.266901016235352e+01, 4.054550933837891e+01, 3.844018936157227e+01, 3.636549377441406e+01, 3.433369064331055e+01, 3.235688018798828e+01, 3.044695854187012e+01, 2.861562728881836e+01, 2.687436103820801e+01, 2.523439788818359e+01, 2.370672225952148e+01, 2.230135917663574e+01, 2.091715240478516e+01, 1.948554420471191e+01, 1.802014541625977e+01, 1.653437805175781e+01, 1.504147434234619e+01, 1.355444622039795e+01, 1.208608245849609e+01, 1.064892959594727e+01, 9.255284309387207e+00, 7.922164440155029e+00, 6.657009124755859e+00, 5.452555179595947e+00, 4.340842723846436e+00, 3.338150024414062e+00, 2.453974485397339e+00, 1.695052266120911e+00, 1.068455576896667e+00, 5.806360840797424e-01, 1.532410234212875e-01, 2.422526013106108e-03, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00]
sha[2].HDirTil=[-0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 2.105407929775538e-06, 1.751882700773422e-05, 5.215271085035056e-05, 1.112886602641083e-04, 2.005146816372871e-04, 3.257226198911667e-04, 4.931052098982036e-04, 7.091531297191978e-04, 9.806513553485274e-04, 1.31467601750046e-03, 1.718590152449906e-03, 2.20004003494978e-03, 2.766950288787484e-03, 3.427520161494613e-03, 4.190218169242144e-03, 5.063777323812246e-03, 6.057190243154764e-03, 7.17970309779048e-03, 8.44081025570631e-03, 9.850247763097286e-03, 3.002924919128418e+00, 3.789243698120117e+00, 5.173391342163086e+00, 7.216853618621826e+00, 9.954586982727051e+00, 1.342049598693848e+01, 1.759556579589844e+01, 2.243829917907715e+01, 2.791416358947754e+01, 3.408202362060547e+01, 4.085882568359375e+01, 4.814162063598633e+01, 5.577700042724609e+01, 6.356101608276367e+01, 7.156746673583984e+01, 7.976624298095703e+01, 8.802388000488281e+01, 9.622330474853516e+01, 1.04243034362793e+02, 1.119532089233398e+02, 1.19215705871582e+02, 1.258843078613281e+02, 1.321779022216797e+02, 1.385437927246094e+02, 1.449799194335938e+02, 1.514814453125e+02, 1.580436401367188e+02, 1.646619262695312e+02, 1.713317718505859e+02, 1.780487670898438e+02, 1.8480859375e+02, 1.916070404052734e+02, 1.984399261474609e+02, 2.053031768798828e+02, 2.121928100585938e+02, 2.191048889160156e+02, 2.260355377197266e+02, 2.329809875488281e+02, 2.399374847412109e+02, 2.469013671875e+02, 2.538690185546875e+02, 2.608368835449219e+02, 2.678015747070312e+02, 2.74772216796875e+02, 2.817484741210938e+02, 2.887182312011719e+02, 2.956688842773438e+02, 3.025874328613281e+02, 3.094604187011719e+02, 3.162740173339844e+02, 3.23013916015625e+02, 3.2966552734375e+02, 3.362137451171875e+02, 3.426431579589844e+02, 3.489379272460938e+02, 3.550824584960938e+02, 3.610603637695312e+02, 3.668538208007812e+02, 3.724474487304688e+02, 3.778148193359375e+02, 3.829457092285156e+02, 3.878260192871094e+02, 3.924357299804688e+02, 3.967390441894531e+02, 4.004304809570312e+02, 4.034023742675781e+02, 4.056759948730469e+02, 4.072610168457031e+02, 4.081745910644531e+02, 4.084378662109375e+02, 4.080715637207031e+02, 4.0709765625e+02, 4.055395812988281e+02, 4.034219665527344e+02, 4.007708740234375e+02, 3.97613525390625e+02, 3.939784545898438e+02, 3.898954772949219e+02, 3.853955688476562e+02, 3.805109558105469e+02, 3.752749633789062e+02, 3.6972216796875e+02, 3.638882446289062e+02, 3.578099975585938e+02, 3.517982177734375e+02, 3.434464721679688e+02, 3.324645080566406e+02, 3.208526611328125e+02, 3.085021667480469e+02, 2.955033264160156e+02, 2.819784851074219e+02, 2.680503540039062e+02, 2.538318023681641e+02, 2.394669189453125e+02, 2.250740966796875e+02, 2.107611541748047e+02, 1.966592559814453e+02, 1.828911590576172e+02, 1.695794525146484e+02, 1.5688427734375e+02, 1.449237213134766e+02, 1.331174621582031e+02, 1.219765701293945e+02, 1.121437377929688e+02, 1.03584602355957e+02, 9.62271728515625e+01, 8.939735412597656e+01, 8.300290679931641e+01, 7.703310394287109e+01, 7.147724151611328e+01, 6.632460784912109e+01, 6.156449890136719e+01, 5.718623733520508e+01, 5.317914962768555e+01, 4.953258895874023e+01, 4.623590850830078e+01, 4.327849960327148e+01, 4.064976119995117e+01, 3.83391227722168e+01, 3.633580017089844e+01, 3.462955474853516e+01, 3.321026229858398e+01, 3.206693267822266e+01, 3.118909072875977e+01, 3.056655311584473e+01, 3.018922805786133e+01, 3.008868980407715e+01, 3.03338680267334e+01, 3.087571334838867e+01, 3.166297340393066e+01, 3.264511108398438e+01, 3.377356338500977e+01, 3.500136947631836e+01, 3.628327560424805e+01, 3.757583236694336e+01, 3.883738708496094e+01, 4.002811050415039e+01, 4.111001586914062e+01, 4.20469970703125e+01, 4.280485534667969e+01, 4.33513298034668e+01, 4.365612030029297e+01, 4.369093322753906e+01, 4.342949295043945e+01, 4.284759521484375e+01, 4.192311096191406e+01, 4.063605117797852e+01, 3.910771942138672e+01, 3.752964401245117e+01, 3.591423034667969e+01, 3.42723388671875e+01, 3.261438751220703e+01, 3.095034408569336e+01, 2.928972244262695e+01, 2.764157676696777e+01, 2.601449394226074e+01, 2.441657829284668e+01, 2.28554573059082e+01, 2.133826065063477e+01, 1.987162590026855e+01, 1.84616756439209e+01, 1.711402130126953e+01, 1.583374977111816e+01, 1.462541580200195e+01, 1.349303531646729e+01, 1.244007205963135e+01, 1.146943950653076e+01, 1.058316135406494e+01, 9.731134414672852e+00, 8.881884574890137e+00, 8.043222427368164e+00, 7.223269462585449e+00, 6.430792331695557e+00, 5.6650390625e+00, 4.914159297943115e+00, 4.199178218841553e+00, 3.531497240066528e+00, 2.91924524307251e+00, 2.370333433151245e+00, 1.875213623046875e+00, 1.436092376708984e+00, 1.059043526649475e+00, 7.449007630348206e-01, 4.908139109611511e-01, 2.941104769706726e-01, 1.513522863388062e-01, 2.374188043177128e-04, 4.399729368742555e-05, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00]
sha[3].HDirTil=[-0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -2.800198853947222e-04, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 1.703555583953857e-01, 1.687648415565491e+00, 3.002924919128418e+00, 3.789243698120117e+00, 5.173391342163086e+00, 7.216853618621826e+00, 9.954586982727051e+00, 1.340975856781006e+01, 1.758390998840332e+01, 2.250042343139648e+01, 2.834008598327637e+01, 3.499371719360352e+01, 4.236091232299805e+01, 5.039187240600586e+01, 5.89379768371582e+01, 6.779582977294922e+01, 7.703539276123047e+01, 8.661824798583984e+01, 9.639808654785156e+01, 1.062403717041016e+02, 1.160015411376953e+02, 1.255249710083008e+02, 1.346411285400391e+02, 1.43167724609375e+02, 1.513370056152344e+02, 1.596520538330078e+02, 1.681085205078125e+02, 1.766988220214844e+02, 1.8541552734375e+02, 1.94251220703125e+02, 2.031986236572266e+02, 2.1225048828125e+02, 2.213996734619141e+02, 2.306390686035156e+02, 2.399616546630859e+02, 2.493604431152344e+02, 2.588285522460938e+02, 2.68359130859375e+02, 2.779453735351562e+02, 2.875805969238281e+02, 2.972581176757812e+02, 3.069713134765625e+02, 3.167136535644531e+02, 3.264786682128906e+02, 3.36260009765625e+02, 3.460671997070312e+02, 3.558979797363281e+02, 3.657350769042969e+02, 3.755606384277344e+02, 3.853560180664062e+02, 3.951019897460938e+02, 4.047786560058594e+02, 4.143655090332031e+02, 4.238414001464844e+02, 4.331846618652344e+02, 4.423729553222656e+02, 4.513834228515625e+02, 4.601926879882812e+02, 4.687768249511719e+02, 4.771118469238281e+02, 4.851756286621094e+02, 4.929332275390625e+02, 5.003650512695312e+02, 5.074475402832031e+02, 5.14151611328125e+02, 5.204288940429688e+02, 5.25876708984375e+02, 5.30349609375e+02, 5.338697509765625e+02, 5.3644873046875e+02, 5.381064453125e+02, 5.3886767578125e+02, 5.387575073242188e+02, 5.3780322265625e+02, 5.360339965820312e+02, 5.334812622070312e+02, 5.301780395507812e+02, 5.261594848632812e+02, 5.214623413085938e+02, 5.161248779296875e+02, 5.101868286132812e+02, 5.03689208984375e+02, 4.966737670898438e+02, 4.891828308105469e+02, 4.812584533691406e+02, 4.729413757324219e+02, 4.645162048339844e+02, 4.533104553222656e+02, 4.390939331054688e+02, 4.239227905273438e+02, 4.0772900390625e+02, 3.90644287109375e+02, 3.728329467773438e+02, 3.544600830078125e+02, 3.356911926269531e+02, 3.166922302246094e+02, 2.976291809082031e+02, 2.786680908203125e+02, 2.599747924804688e+02, 2.417147674560547e+02, 2.240529937744141e+02, 2.071915130615234e+02, 1.912897033691406e+02, 1.757989044189453e+02, 1.61246337890625e+02, 1.483329315185547e+02, 1.370687103271484e+02, 1.273687591552734e+02, 1.183479080200195e+02, 1.098888626098633e+02, 1.019811019897461e+02, 9.461328125e+01, 8.777345275878906e+01, 8.144918060302734e+01, 7.562764739990234e+01, 7.029570007324219e+01, 6.543994140625e+01, 6.10467414855957e+01, 5.710226821899414e+01, 5.359253311157227e+01, 5.050340270996094e+01, 4.782038116455078e+01, 4.552939224243164e+01, 4.36163444519043e+01, 4.206618881225586e+01, 4.086426544189453e+01, 3.999612426757812e+01, 3.944734954833984e+01, 3.925792694091797e+01, 3.951628112792969e+01, 4.015667724609375e+01, 4.111030960083008e+01, 4.230973815917969e+01, 4.369028091430664e+01, 4.518985366821289e+01, 4.674899291992188e+01, 4.831092834472656e+01, 4.982163238525391e+01, 5.122988128662109e+01, 5.248731994628906e+01, 5.354850006103516e+01, 5.437094116210938e+01, 5.491518020629883e+01, 5.514482498168945e+01, 5.502658843994141e+01, 5.453035736083984e+01, 5.362920761108398e+01, 5.229946899414062e+01, 5.05207633972168e+01, 4.844839859008789e+01, 4.632248687744141e+01, 4.415953063964844e+01, 4.197394943237305e+01, 3.977946090698242e+01, 3.758907318115234e+01, 3.541507339477539e+01, 3.326901245117188e+01, 3.116169357299805e+01, 2.910317039489746e+01, 2.710272979736328e+01, 2.516888427734375e+01, 2.330936622619629e+01, 2.15311164855957e+01, 1.984027862548828e+01, 1.824219703674316e+01, 1.674140548706055e+01, 1.5341628074646e+01, 1.404577159881592e+01, 1.285593318939209e+01, 1.177304077148438e+01, 1.074032115936279e+01, 9.72309684753418e+00, 8.730484962463379e+00, 7.771600723266602e+00, 6.855896949768066e+00, 5.983003616333008e+00, 5.141148090362549e+00, 4.351140022277832e+00, 3.623862266540527e+00, 2.961646795272827e+00, 2.375617027282715e+00, 1.873562932014465e+00, 1.435141324996948e+00, 1.059043526649475e+00, 7.449007630348206e-01, 4.908139109611511e-01, 2.941104769706726e-01, 1.513522863388062e-01, 3.76577153801918e-02, 5.583411548286676e-04, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00]
sha[4].HDirTil=[-0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 2.105408115312457e-03, 1.751882582902908e-02, 5.215271189808846e-02, 1.112886592745781e-01, 2.005146890878677e-01, 3.257226049900055e-01, 4.931052327156067e-01, 7.091531157493591e-01, 9.806513786315918e-01, 1.31467604637146e+00, 1.718590140342712e+00, 2.200039863586426e+00, 2.766950130462646e+00, 3.427520036697388e+00, 4.190217971801758e+00, 5.063777446746826e+00, 6.057190418243408e+00, 7.179702758789062e+00, 8.440810203552246e+00, 9.850248336791992e+00, 1.141799068450928e+01, 1.365306282043457e+01, 1.773114776611328e+01, 2.360735511779785e+01, 3.117090225219727e+01, 4.030170440673828e+01, 5.08704719543457e+01, 6.273880767822266e+01, 7.575933837890625e+01, 8.977584838867188e+01, 1.046233749389648e+02, 1.201283798217773e+02, 1.361088562011719e+02, 1.523745422363281e+02, 1.687270050048828e+02, 1.849598388671875e+02, 2.008588562011719e+02, 2.162021789550781e+02, 2.307605590820312e+02, 2.442974243164062e+02, 2.565691528320312e+02, 2.673252868652344e+02, 2.770907287597656e+02, 2.868341979980469e+02, 2.965567626953125e+02, 3.0625341796875e+02, 3.15919189453125e+02, 3.25549072265625e+02, 3.351382141113281e+02, 3.446817626953125e+02, 3.541749267578125e+02, 3.636129760742188e+02, 3.729912109375e+02, 3.823050537109375e+02, 3.915498962402344e+02, 4.007212524414062e+02, 4.098147277832031e+02, 4.188258972167969e+02, 4.277504577636719e+02, 4.365841979980469e+02, 4.453229064941406e+02, 4.539625244140625e+02, 4.624991455078125e+02, 4.709503173828125e+02, 4.793169860839844e+02, 4.875798645019531e+02, 4.957193908691406e+02, 5.037156982421875e+02, 5.115487670898438e+02, 5.191982421875e+02, 5.266436157226562e+02, 5.338641967773438e+02, 5.408390502929688e+02, 5.475471801757812e+02, 5.539673461914062e+02, 5.600782470703125e+02, 5.658585815429688e+02, 5.712867431640625e+02, 5.763411865234375e+02, 5.810003051757812e+02, 5.852425537109375e+02, 5.890462036132812e+02, 5.923897705078125e+02, 5.952315673828125e+02, 5.971275024414062e+02, 5.979315795898438e+02, 5.976841430664062e+02, 5.964266967773438e+02, 5.94201904296875e+02, 5.910535278320312e+02, 5.870265502929688e+02, 5.82166748046875e+02, 5.765211181640625e+02, 5.70137451171875e+02, 5.63064453125e+02, 5.553516235351562e+02, 5.470492553710938e+02, 5.382083740234375e+02, 5.288806762695312e+02, 5.19118408203125e+02, 5.089744567871094e+02, 4.985021362304688e+02, 4.877552490234375e+02, 4.767880249023438e+02, 4.655285339355469e+02, 4.529844665527344e+02, 4.390621032714844e+02, 4.239227905273438e+02, 4.0772900390625e+02, 3.90644287109375e+02, 3.728329467773438e+02, 3.544600830078125e+02, 3.356911926269531e+02, 3.166922302246094e+02, 2.976291809082031e+02, 2.786680908203125e+02, 2.599747924804688e+02, 2.417147674560547e+02, 2.240529937744141e+02, 2.071536865234375e+02, 1.911802215576172e+02, 1.762949371337891e+02, 1.626589050292969e+02, 1.504318695068359e+02, 1.3977197265625e+02, 1.30611083984375e+02, 1.220569610595703e+02, 1.139949645996094e+02, 1.064201889038086e+02, 9.932743072509766e+01, 9.271120452880859e+01, 8.65657958984375e+01, 8.088520050048828e+01, 7.566317749023438e+01, 7.089323425292969e+01, 6.656865692138672e+01, 6.268247604370117e+01, 5.922751617431641e+01, 5.619637680053711e+01, 5.358145523071289e+01, 5.137493133544922e+01, 4.956880187988281e+01, 4.815486907958984e+01, 4.712474822998047e+01, 4.646989059448242e+01, 4.618156814575195e+01, 4.631527328491211e+01, 4.698648071289062e+01, 4.812996673583984e+01, 4.967341232299805e+01, 5.15452880859375e+01, 5.367493438720703e+01, 5.599263763427734e+01, 5.842968368530273e+01, 6.091843795776367e+01, 6.339241409301758e+01, 6.578633117675781e+01, 6.803619384765625e+01, 7.0079345703125e+01, 7.185453033447266e+01, 7.330198669433594e+01, 7.436344909667969e+01, 7.498227691650391e+01, 7.510346984863281e+01, 7.467373657226562e+01, 7.364154815673828e+01, 7.195722198486328e+01, 6.982134246826172e+01, 6.756729125976562e+01, 6.521430969238281e+01, 6.277936172485352e+01, 6.027908325195312e+01, 5.772978210449219e+01, 5.514739608764648e+01, 5.254750442504883e+01, 4.994530868530273e+01, 4.73556022644043e+01, 4.479278182983398e+01, 4.227081298828125e+01, 3.98032341003418e+01, 3.740313339233398e+01, 3.508313751220703e+01, 3.285540390014648e+01, 3.073161697387695e+01, 2.872295379638672e+01, 2.684009742736816e+01, 2.509321594238281e+01, 2.349123764038086e+01, 2.192633819580078e+01, 2.032675743103027e+01, 1.870740699768066e+01, 1.708271026611328e+01, 1.546657943725586e+01, 1.387241077423096e+01, 1.231307220458984e+01, 1.08008918762207e+01, 9.347649574279785e+00, 7.964565753936768e+00, 6.66229248046875e+00, 5.450904369354248e+00, 4.339891910552979e+00, 3.338150024414062e+00, 2.453974485397339e+00, 1.695052266120911e+00, 1.068455576896667e+00, 5.806360840797424e-01, 2.374188154935837e-01, 4.399729147553444e-02, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00, -0e+00]
sha[1].fraSun=[0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 8.664024621248245e-02, 6.904602646827698e-01, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1.000266432762146e+00, 1.000229120254517e+00, 9.990097880363464e-01, 9.943779706954956e-01, 9.89844799041748e-01, 9.856429100036621e-01, 9.812679290771484e-01, 9.76776123046875e-01, 9.722078442573547e-01, 9.675930738449097e-01, 9.629541039466858e-01, 9.583079814910889e-01, 9.536680579185486e-01, 9.490445256233215e-01, 9.444457292556763e-01, 9.398781061172485e-01, 9.353468418121338e-01, 9.308562278747559e-01, 9.264095425605774e-01, 9.220095276832581e-01, 9.176584482192993e-01, 9.133579730987549e-01, 9.091095328330994e-01, 9.049142599105835e-01, 9.007730484008789e-01, 8.966864347457886e-01, 8.926550149917603e-01, 8.886790871620178e-01, 8.847588896751404e-01, 8.808945417404175e-01, 8.770860433578491e-01, 8.733333945274353e-01, 8.696364760398865e-01, 8.659951686859131e-01, 8.624092936515808e-01, 8.588785529136658e-01, 8.554027080535889e-01, 8.51981520652771e-01, 8.486146330833435e-01, 8.453017473220825e-01, 8.420425653457642e-01, 8.388367891311646e-01, 8.356839418411255e-01, 8.325837850570679e-01, 8.29535961151123e-01, 8.265400528907776e-01, 8.235958218574524e-01, 8.20702850818634e-01, 8.178607821464539e-01, 8.150694370269775e-01, 8.123294115066528e-01, 8.096407055854797e-01, 8.070005178451538e-01, 8.044072389602661e-01, 8.018617033958435e-01, 7.993663549423218e-01, 7.969233393669128e-01, 7.945340871810913e-01, 7.921987771987915e-01, 7.899171710014343e-01, 7.876893877983093e-01, 7.855159044265747e-01, 7.833971977233887e-01, 7.81333863735199e-01, 7.793266177177429e-01, 7.773764133453369e-01, 7.754843831062317e-01, 7.736519575119019e-01, 7.718808650970459e-01, 7.701733708381653e-01, 7.685322761535645e-01, 7.669609189033508e-01, 7.654637694358826e-01, 7.640464901924133e-01, 7.627164721488953e-01, 7.614834904670715e-01, 7.603607773780823e-01, 7.593665719032288e-01, 7.585271000862122e-01, 7.578709125518799e-01, 7.574663162231445e-01, 7.571427822113037e-01, 7.568657994270325e-01, 7.56635308265686e-01, 7.564511299133301e-01, 7.563132643699646e-01, 7.562215328216553e-01, 7.561467289924622e-01, 7.561503052711487e-01, 7.562232613563538e-01, 7.56316065788269e-01, 7.5645512342453e-01, 7.566404342651367e-01, 7.568720579147339e-01, 7.571501731872559e-01, 7.57474958896637e-01, 7.578975558280945e-01, 7.58575975894928e-01, 7.594313025474548e-01, 7.604376673698425e-01, 7.61570155620575e-01, 7.628111243247986e-01, 7.641478180885315e-01, 7.655708193778992e-01, 7.670729756355286e-01, 7.686488032341003e-01, 7.702940106391907e-01, 7.720051407814026e-01, 7.737796902656555e-01, 7.756153345108032e-01, 7.77510404586792e-01, 7.794635891914368e-01, 7.81473696231842e-01, 7.835398316383362e-01, 7.856612205505371e-01, 7.878374457359314e-01, 7.900679111480713e-01, 7.923521399497986e-01, 7.946901321411133e-01, 7.970821261405945e-01, 7.995277643203735e-01, 8.020256161689758e-01, 8.045732975006104e-01, 8.071686625480652e-01, 8.098109364509583e-01, 8.125022053718567e-01, 8.152448534965515e-01, 8.180388212203979e-01, 8.208835124969482e-01, 8.237791657447815e-01, 8.267261981964111e-01, 8.29724907875061e-01, 8.327756524085999e-01, 8.35878849029541e-01, 8.390346765518188e-01, 8.422436714172363e-01, 8.455060720443726e-01, 8.488221764564514e-01, 8.521924018859863e-01, 8.556170463562012e-01, 8.590964078903198e-01, 8.626307249069214e-01, 8.662202954292297e-01, 8.69865357875824e-01, 8.735660910606384e-01, 8.773226141929626e-01, 8.811350464820862e-01, 8.85003387928009e-01, 8.889276385307312e-01, 8.929076790809631e-01, 8.969432711601257e-01, 9.010340571403503e-01, 9.05179500579834e-01, 9.093790054321289e-01, 9.136316180229187e-01, 9.179362654685974e-01, 9.222915172576904e-01, 9.266955256462097e-01, 9.311461448669434e-01, 9.356405735015869e-01, 9.401753544807434e-01, 9.447462558746338e-01, 9.493479132652283e-01, 9.539738297462463e-01, 9.586155414581299e-01, 9.632625579833984e-01, 9.679014086723328e-01, 9.725146293640137e-01, 9.770793914794922e-01, 9.815651774406433e-01, 9.859306216239929e-01, 9.901189208030701e-01, 9.946762323379517e-01, 9.992069602012634e-01, 1.000302791595459e+00, 1.000219106674194e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 6.454460024833679e-01, 5.506080016493797e-02, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00]
sha[2].fraSun=[1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 2.629994451999664e-01, 2.77538001537323e-01, 2.917685508728027e-01, 3.057036101818085e-01, 3.193551003932953e-01, 3.330006897449493e-01, 3.458895683288574e-01, 3.57646256685257e-01, 3.684583604335785e-01, 3.796346485614777e-01, 3.905324935913086e-01, 4.007514417171478e-01, 4.097969532012939e-01, 4.171366989612579e-01, 4.241613149642944e-01, 4.312624931335449e-01, 4.382374882698059e-01, 4.450616538524628e-01, 4.517367780208588e-01, 4.58266019821167e-01, 4.646532833576202e-01, 4.709030985832214e-01, 4.770203232765198e-01, 4.830100536346436e-01, 4.888774752616882e-01, 4.946277439594269e-01, 5.002660751342773e-01, 5.057975649833679e-01, 5.112271904945374e-01, 5.16559898853302e-01, 5.218003392219543e-01, 5.269532799720764e-01, 5.320230722427368e-01, 5.370140671730042e-01, 5.419304370880127e-01, 5.46776294708252e-01, 5.515554547309875e-01, 5.562716722488403e-01, 5.609286427497864e-01, 5.655297636985779e-01, 5.700784921646118e-01, 5.745780467987061e-01, 5.790315270423889e-01, 5.834420323371887e-01, 5.878123641014099e-01, 5.921455025672913e-01, 5.964440703392029e-01, 6.007107496261597e-01, 6.049480438232422e-01, 6.09158456325531e-01, 6.133444309234619e-01, 6.175082325935364e-01, 6.216521263122559e-01, 6.257783174514771e-01, 6.298890113830566e-01, 6.339871883392334e-01, 6.380752921104431e-01, 6.421535611152649e-01, 6.462274193763733e-01, 6.502833366394043e-01, 6.543367505073547e-01, 6.583966016769409e-01, 6.62462055683136e-01, 6.665288805961609e-01, 6.705946326255798e-01, 6.746630668640137e-01, 6.787464022636414e-01, 6.828349828720093e-01, 6.869291067123413e-01, 6.910336017608643e-01, 6.951501369476318e-01, 6.992801427841187e-01, 7.034253478050232e-01, 7.075871825218201e-01, 7.117672562599182e-01, 7.159671187400818e-01, 7.201882600784302e-01, 7.244321703910828e-01, 7.287003993988037e-01, 7.329944968223572e-01, 7.373158931732178e-01, 7.416661381721497e-01, 7.46046781539917e-01, 7.504593133926392e-01, 7.556963562965393e-01, 7.581859827041626e-01, 7.572152018547058e-01, 7.568657994270325e-01, 7.56635308265686e-01, 7.564511299133301e-01, 7.563132643699646e-01, 7.562215328216553e-01, 7.561467289924622e-01, 7.561503052711487e-01, 7.562232613563538e-01, 7.56316065788269e-01, 7.5645512342453e-01, 7.566404342651367e-01, 7.568720579147339e-01, 7.573328018188477e-01, 7.580476403236389e-01, 7.550839185714722e-01, 7.498916983604431e-01, 7.454785704612732e-01, 7.41097092628479e-01, 7.367458343505859e-01, 7.324232459068298e-01, 7.281277775764465e-01, 7.238579988479614e-01, 7.196123600006104e-01, 7.153893113136292e-01, 7.111873030662537e-01, 7.070049643516541e-01, 7.028405666351318e-01, 6.986927390098572e-01, 6.945597529411316e-01, 6.904401779174805e-01, 6.863324046134949e-01, 6.822347640991211e-01, 6.781413555145264e-01, 6.740554571151733e-01, 6.699830889701843e-01, 6.659125685691833e-01, 6.618409752845764e-01, 6.577711701393127e-01, 6.537073254585266e-01, 6.496493816375732e-01, 6.45587146282196e-01, 6.415070295333862e-01, 6.374229788780212e-01, 6.333287358283997e-01, 6.292241215705872e-01, 6.251066327095032e-01, 6.209732890129089e-01, 6.168219447135925e-01, 6.126503944396973e-01, 6.084563136100769e-01, 6.0423743724823e-01, 5.999913215637207e-01, 5.957154631614685e-01, 5.91407299041748e-01, 5.870642066001892e-01, 5.826834440231323e-01, 5.782621502876282e-01, 5.737974047660828e-01, 5.692861080169678e-01, 5.647251605987549e-01, 5.601112246513367e-01, 5.554410219192505e-01, 5.50710916519165e-01, 5.459173321723938e-01, 5.410564541816711e-01, 5.361244082450867e-01, 5.311170816421509e-01, 5.260302424430847e-01, 5.208595991134644e-01, 5.156006217002869e-01, 5.102486610412598e-01, 5.04798948764801e-01, 4.992465078830719e-01, 4.935863614082336e-01, 4.878133237361908e-01, 4.819222092628479e-01, 4.759078025817871e-01, 4.697648882865906e-01, 4.634883403778076e-01, 4.57073301076889e-01, 4.505152702331543e-01, 4.438102841377258e-01, 4.369553327560425e-01, 4.299485385417938e-01, 4.2284095287323e-01, 4.157863259315491e-01, 4.083673357963562e-01, 3.991009891033173e-01, 3.887806832790375e-01, 3.777952194213867e-01, 3.665291368961334e-01, 3.557834625244141e-01, 3.440187871456146e-01, 3.309051096439362e-01, 3.172546029090881e-01, 3.035486936569214e-01, 2.895568013191223e-01, 2.752669155597687e-01, 2.606663703918457e-01, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03, 1.000000047497451e-03]
sha[3].fraSun=[0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -8.596882107667625e-04, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 2.018237113952637e-02, 1.713305413722992e-01, 2.629994451999664e-01, 2.77538001537323e-01, 2.917685508728027e-01, 3.057036101818085e-01, 3.193551003932953e-01, 3.327342867851257e-01, 3.456604480743408e-01, 3.586364686489105e-01, 3.740804195404053e-01, 3.89789879322052e-01, 4.048895537853241e-01, 4.19483482837677e-01, 4.330208599567413e-01, 4.449288249015808e-01, 4.565682411193848e-01, 4.683083891868591e-01, 4.79929506778717e-01, 4.913936257362366e-01, 5.026922225952148e-01, 5.138202905654907e-01, 5.247751474380493e-01, 5.355562567710876e-01, 5.461640954017639e-01, 5.566005110740662e-01, 5.668679475784302e-01, 5.7696932554245e-01, 5.869081020355225e-01, 5.966880321502686e-01, 6.063129305839539e-01, 6.157868504524231e-01, 6.251139044761658e-01, 6.342982649803162e-01, 6.43343985080719e-01, 6.522551774978638e-01, 6.6103595495224e-01, 6.696902513504028e-01, 6.782220602035522e-01, 6.866351962089539e-01, 6.949334740638733e-01, 7.031205296516418e-01, 7.111999988555908e-01, 7.191753387451172e-01, 7.270500659942627e-01, 7.348273992538452e-01, 7.425106167793274e-01, 7.501029372215271e-01, 7.576072812080383e-01, 7.650268077850342e-01, 7.723642587661743e-01, 7.796225547790527e-01, 7.868043780326843e-01, 7.93912410736084e-01, 8.009493350982666e-01, 8.079175353050232e-01, 8.148195743560791e-01, 8.216578364372253e-01, 8.284345865249634e-01, 8.351530432701111e-01, 8.418201804161072e-01, 8.48421573638916e-01, 8.54970395565033e-01, 8.614732027053833e-01, 8.679279685020447e-01, 8.743301033973694e-01, 8.806774616241455e-01, 8.869737386703491e-01, 8.932305574417114e-01, 8.994377851486206e-01, 9.055953025817871e-01, 9.117070436477661e-01, 9.177737236022949e-01, 9.237958192825317e-01, 9.297733902931213e-01, 9.357063174247742e-01, 9.415938854217529e-01, 9.474348425865173e-01, 9.532273411750793e-01, 9.589684009552002e-01, 9.646539092063904e-01, 9.702780246734619e-01, 9.758324027061462e-01, 9.813054203987122e-01, 9.866802096366882e-01, 9.91932213306427e-01, 9.978254437446594e-01, 1.000719666481018e+00, 1.000072479248047e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1.000182628631592e+00, 1.000572681427002e+00, 9.971863627433777e-01, 9.913157224655151e-01, 9.860472679138184e-01, 9.806594252586365e-01, 9.75175678730011e-01, 9.696121215820312e-01, 9.63979959487915e-01, 9.582871794700623e-01, 9.52539324760437e-01, 9.46740448474884e-01, 9.408933520317078e-01, 9.349997639656067e-01, 9.290609359741211e-01, 9.23077404499054e-01, 9.170493483543396e-01, 9.109765887260437e-01, 9.048587083816528e-01, 8.986949324607849e-01, 8.924801349639893e-01, 8.862180709838867e-01, 8.799152374267578e-01, 8.735604882240295e-01, 8.671508431434631e-01, 8.606890439987183e-01, 8.541795611381531e-01, 8.476237654685974e-01, 8.410137891769409e-01, 8.34338366985321e-01, 8.276119828224182e-01, 8.20826530456543e-01, 8.139792084693909e-01, 8.070678114891052e-01, 8.000897765159607e-01, 7.93042778968811e-01, 7.859241962432861e-01, 7.787314057350159e-01, 7.714617252349854e-01, 7.641124725341797e-01, 7.566807270050049e-01, 7.491636276245117e-01, 7.415581941604614e-01, 7.338612675666809e-01, 7.260697484016418e-01, 7.181802988052368e-01, 7.101897001266479e-01, 7.020943760871887e-01, 6.938909292221069e-01, 6.855756044387817e-01, 6.771448254585266e-01, 6.685947179794312e-01, 6.59921407699585e-01, 6.511210203170776e-01, 6.421893835067749e-01, 6.331225633621216e-01, 6.239163279533386e-01, 6.145665645599365e-01, 6.050691604614258e-01, 5.954199433326721e-01, 5.856148600578308e-01, 5.756500959396362e-01, 5.655218362808228e-01, 5.552266836166382e-01, 5.447616577148438e-01, 5.341243147850037e-01, 5.233129858970642e-01, 5.123270750045776e-01, 5.01167356967926e-01, 4.898364841938019e-01, 4.783397912979126e-01, 4.666860103607178e-01, 4.549395740032196e-01, 4.432717263698578e-01, 4.312879741191864e-01, 4.17535811662674e-01, 4.028500914573669e-01, 3.876762986183167e-01, 3.718528747558594e-01, 3.56576532125473e-01, 3.437159657478333e-01, 3.306859731674194e-01, 3.172546029090881e-01, 3.035486936569214e-01, 2.895568013191223e-01, 2.752669155597687e-01, 2.606663703918457e-01, 1.586130261421204e-01, 1.269035320729017e-02, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, -4.358248261269182e-04, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00]
sha[4].fraSun=[1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00]