diff --git a/CHANGELOG.md b/CHANGELOG.md new file mode 100644 index 0000000..9089edf --- /dev/null +++ b/CHANGELOG.md @@ -0,0 +1,5 @@ +1.2.7 +* no longer excludes python 3.10 +* fixed bug that raised an error when fixing epsilon with tracking errors +* moved installation information from setup.py to pyproject.toml +* updated quickstart guide with examples for tracking error and fixed epsilon parameter \ No newline at end of file diff --git a/docs/pages/quickstart.ipynb b/docs/pages/quickstart.ipynb index 647f5d3..b2c4038 100644 --- a/docs/pages/quickstart.ipynb +++ b/docs/pages/quickstart.ipynb @@ -35,7 +35,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-10-27T18:19:26.832591Z", @@ -45,7 +45,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -59,7 +59,7 @@ "source": [ "import numpy as np # Loads the numpy package\n", "import matplotlib.pyplot as plt # Loads the matplotlib package for plotting\n", - "from tweezepy import load_trajectory # Loads in the exampled trajectory in tweezepy\n", + "from tweezepy.smmcalibration import load_trajectory # Loads in the exampled trajectory in tweezepy\n", "fsample = 400 # sampling frequency in Hz\n", "trace = load_trajectory() # load in trajectory in nm\n", "N = len(trace) # number of points in trajectory\n", @@ -105,7 +105,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -123,7 +123,7 @@ } ], "source": [ - "from tweezepy import PSD # Load in PSD class\n", + "from tweezepy.smmcalibration import PSD # Load in PSD class\n", "psd = PSD(trace,fsample) # Estimate PSD values\n", "for key, value in psd.data.items():\n", " print(key, ' : ', value)" @@ -140,7 +140,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -150,9 +150,9 @@ "chi2 : 208597.91145770502\n", "redchi2 : 8.1493109136893\n", "g : 1.0010433861570223e-05\n", - "g_error : 5.533212958186353e-08\n", + "g_error : 5.533212958186252e-08\n", "k : 0.0006333567283668794\n", - "k_error : 8.130228755790806e-06\n", + "k_error : 8.130228755790836e-06\n", "support : 1.0\n", "p-value : 0.0\n", "AIC : 89948.62650857156\n", @@ -175,12 +175,22 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" ] @@ -205,12 +215,22 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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p/YzZRX3wiw17mXBddTUutXwFTlUmeIL8T14lSxtHsdxVwMTCNxjGUn7bp5SAFGNTJSwSeQYKFZ4CatwerPd7sKl1nikeD3Wyl7vrrmZg3ssEpbrJDxJ5cGtEfGxAOPKi5lSwaZiQhEGEMMqdleWgETGIHBu1PkThg5IAiqtpvQrjvV5W5OfF3NwLC/J5uLyU4xsaOarRw5uFBSBCANhbso4RoUa2iqACfqCwcA3XOp/ksoF98EcESbHGrwofFAcJShEAtiJAiFlhf++3lzDFPFpWxA3VNVyz5xne0fFxVki8gGQmJFv3eFNaIVGiVoqZOu4eGPFogVw77drykM9k+qw9U2y56GsRP/b4uWo7ytWOZxPzGd4HHNelzXYuzLMjYkMVRue/z7ahrxCSMK+pnTO35XOox4+zTAkSeYD7QxAO4lRrnUMVGxpxaEMQ2G138si2XSzNd7O3YTR3N1zESh1OXv4G8oY+wToJcreWEo4IEERijlQRtbFpx3nMsL3PgUXvUREKscdu5zCPl9G+MLeHv0GF7KWwcSDOil0EiFgZUYs+IiYz6uqtx6jCafUNhET4W3FhTCxCSpOZEjnWpnCg38+6PBeKJoiKClTluyGy3o/yZFkJAIvy3U2P6si5vGVrOK16N6u0nACWZTHW9RGvutx4I9Nf4bj/h3CStRRGsWNZXKgSEhtE7u/tlRU85V/PL3xrCGLnpsD5VEh9XIJi8xx1G8qh8hnLdXSz3wFDz6BXi0d7o61y7bTrCj9KSw/9o0f1bVEc0x0bnz0sb98J778Y2zYtPBI3N+DDidjszO97Mcc0fMk3BpbCBU1vlVdB7F7EJ/x98EU1QysKOCiwmon5T/OQlIAISpjrnMdzyh4nA3YECLp3MXZvCbc1TgHg2OCHfJnv5Tr/IuyEeKmokCDWI2s+4/C6NrAoMIYP68/FClUNU16+laCELGuBJsFwqPLL6j3stjuZH5pIjWcYX0iAO4Kv4SCECIQU5oWm84kO48e2V1neOJlHtr3FR/lOykIh3itw83ZBAaqKQ4WT67wc6vPyUZ6bx/O+QViFa6vXcU9lGSGNS3BURRSOafRwlMfD7X3K46bMrL3sCuGY0DStJ26/hGNECKC8X+AGrPDioAh/LSnCFj02Xuzil+OsqG81NHKIP0CdCE+VlVi7iBBS5cnSYubsrMapIW53PhGxuIRHg6fw7/BkptlWs1uLEkSlrcIR/Z001kfX0qvFo73NoKaN6NNtnHaZWAip9mlJsB5c+HmL4pjq2Ojnpm0VLOISntVr2L5zO3/rM5sR4cqYz+NXf/+UD3wjKNv1OYM2fwhDpsTO/9CKh1jlfhhf/TGE9XjAjjcQYKjvRR4NPsdHuHi8rJgAgNrYEtqPJwZ/gr3AyunYWgawEoCoxN3vLWGy18uAmgP5Mq+QEc6TucvzCFDCp/WHQCyL3EZtzf4UFduxEcShyi+qa/m78wAa1M0Wf1+WFYZYGx4EKFU6il8FzufXzqcQDRPAyYuhowni4pHQaYDyQv1Mfu37M0KIM+saqMqr58P8Al7aew53ePtxQMESXhu4BpVq7Ap9t0zij18t4bHyIpbku638DVXG7y3h7t3b+XNZfpNTPPIwn+T1MSAQZH5xYWzdfoEgXzkdCfslfI6IycKCggRRiTrxU+0fWw1oRNC8IiwsyGd1nqtZNv/CwgLOcTjY3x9go8tJXjjMiECQ79a/ziW++Ugk3z6M4McZifSKn96yrmZN4qXOzK8scrHsxuNjy91punZfpFeLR3uZtH95LIs5l8XcsvWjZDJ91pYptnhxFBHufe2zWPXYKNF+Dy2NfaR/FexeST8N86vq6/l1nzt5v/Jzznvldxy8/Rj+y/kqzvoAnrnf4ZWjL2HG9LsBuGzCZfzz7UP4Uv+Jq8/bHNjo4NuBXWzJn8qNrmncVv3fPPL1Dpa53Uz1epngewhaqUX4UFkpD5eXAuuxARv4lJmDYHZNLU/4702oSfWm6wQe3vRjhhYs4zCvj+cap0RCUEOsKVvOD3zvMKTWxXORh9kz4ems9Q9hmm0VH4YP4mM9AAdBgtgAO8+Ej2OtfyjTbGvYrUUcEvqS4kYhP9SPKh3JSvdm8uQ/kel/ZVDRRxy6x8vxDTaW5rtBFadCQe3B/DXUn6KGTTjKvAQBIsIyIhDgb0WRiKzIA/9rZ+TPON4CSbZGsEQgtk0k9f5J4hPdQwU+KMhPPGdkCgsRVJWVeS5W5rliuyzPhxeKi/hV9W7Oqm9ghcvFsnx3JNJrFVWhkZG8k2j470gUGzZChBGI/VijqKn3pPWJRJ3ths7DiEcrFLudFLudOROOtjzkM5k+i9/HGwhwzgs3kVf5Vmz72MbD+GZ1gOU3/ZRJNuttbRIwu+Ry/mH7dkwcU1koh//hDqp92zj49/cR9g8i6D2AGY/UMuu4auq8oxhcV4VqOJJmFuDAhhWsc53LmQdfxIZdN/LnonymemGcL8QMZ7+Ee7F2z0rcQ/+NQwLs0DDTv97B6LqXubrfKfxwYD8me70sc7v5Q0UZAL6dx+Hf1fT2CdZ005S8DfxSn+SyPeu4bE9tbNv9wTO4P3gm9wD3JN9YP0CYDZ7hbEjIVRCCe6bwVw7lJsefWS3786keAAhVOqpZqQ8HQTSSsb1SR0Qeip9zs/0vOAkyw/4uc4Lf42NPHqvVBoRwqjLZ42VFXh739CknhBXqO3XHEH4behmnPYgEFVd1AXdUVhBWxaVKWCXBGrHe5kmcbkpngcQ781P9m7x/S8e0dv4IinJbZQXvFbh5J7+AkICjTOm/qZKZvjf5tfMpbITjrJFRsRpjyQmNobjaY8V5dsbsV5pgDRs6FyMenUyrQrDwTnj7roRjpoVH4uQmAtjTTp/FWxFup5Ph+zWirkHcddRdhDz7c9YjH/CBWnH5vyt/kUEz74chU1j26CIGQWoBW3gnyxf+lRr/DYTzS3ANfR+K1+DSt/Ft+jFadxRrvt6EmwP5kcsVSz57ee8IPPkBKvts49HBa3hdSvijFvPgthrufsVG1XwrYsblsGErWA8SjDhfhWVuN2N99RzpKWGcrx8feQewofAyhrgdVmOkYqDYErflG2s48+EPCGOVFPmB3EYoTeh5fBgowLemfsQfFs2ncdOPQaOJh2BJkQ1F8JLHDcGLEcK48fG0646Y8EaJitMRtk/5b8cLADwSPIWR8lUs10Q0wHjbeh5pvJrRm4r5bsk8KkIBPswvoMrWF794Yn6XMtc2nJ4ADqwAgDPrGhjpD7As380kj5fXw5Og+GuEEDaF4/c4WFAWsKb2orT0kE8Wh+j+8fvEr0v3b7pzJotYZNubBQWx7QGgpPQDzmz8jKfyCznM6+UQbyBWmytapqV5QmN0mgvqfKFmOSLXvPAx95w5PuX/vyH39EjxEJHvAacAJcBcVX29a0eUOa36UY693vp5MlLC4YL5TAJGtpI7ET/F9tOTnNz+0VLUr1z8+sWcWHkzYRUmylqedN5NXkMA/vRd+NFLzc6TMC117PUs5iy+8fpLFBQuYIUEQRQliLP4S4SjCCtUMYpZ/usjb4lWBdjB3iB1sh6NOKQDCL/rcxov3nBV7FrLN9Zw3zsjQB1AEIeGmez1ogjn1D3F8vBIfuM/F7+/nl0Euah0GcsqTosdv3h9dcLce1iVweX5DCrLj1lOZz+6iFXb9sbKnUS5bMJl9P33SkY4b49NYwH8NXQkz4amJ7zlKja85DHDf2va/9cPwmPZWHAYe71BGjVIta4lhA1UCeBkrmMCBEKs9hwJaCSKTBH14lDLje1Q2FU3iYB+hRAgIHb+EZrK93wfMNYXwI+TX/u/w6BNO/huyTymeDwc4gvyA4+T+cX5rHG5InkggIIN4fAGH4sLXIRIIRwt5Xgli0AyyWKR7GhPPjbp2v2dm7l0YB8CIri0hIe3VbPYPya2fZptNavyJJLQ6IskNLbsx3hu2ZaUTcHiMf6Q3NFtxENEngBOBXao6iFx608E5mB5Oh9X1btU9e/A30WkHPgt0GPEI2M/im8veGsh4mTOZPosuk+d/IfobHUgHMBR8CU2GRGrtmpDIeSHDe8CR8SOTzWldlzRBi503ckqv42faF98CIKDm7/9XQ4sHcy8DzcRVlipB/Bp6AACWNVTS9wOJvefDJG8AYeCR45KsKwmAc+GR/L3rcNYU9RIfe2hvO6v5rYUPSi82Hmw9ptQayWPpZr7VmBLjVX6O3l79C11UJk77vhTIj/ZMXV4RexzdNokKlCrtu0FoEpHcY7/xpQ9NTwFX0eipawxD9wzmPHhXVTXj+O1xhnMkrGx41boATwdOj7BL3CZfxUX76nFIWGCInzWeBQFDX0pzQuRN2QJASz/SMX2o/jXnlO5rM9N/F9ff6JVljzFlMJJnna/eDFJFqBUVkiSRWOLWt6R0OgA8JJ7P4jrj/VFXpDnB/aNZLsrEzcHofW+XjGSLU2TXJh7uo14AE8BfwD+HF0hInbgQeB4YAuwVEReUo20SoMbI9t7FK0KweYPYftK0HBaC6ElJvefHCkPqDhtTk4/+CiWfLSXLxomYPNbUyvYXTDsKFjV1D0v1ZTa5Y6PCYufSX549OsdPFw+kO22qzl73FEAzC55n4KGzbE39+hb/Ls7x/LWA/CXwm0sc7spbuzLLs9rLN+ymknHXgefvcJi73b+kL+Xj92RqaDyrfwFqAz2YcNFVyV0C4xv0hRPci/yVIEE8V0AS/Ote//+dcdl1Xo1niVf7mZQmZvB5QXc98baWDZ0clZ0sn/kB/Y3GS7bOCzwJrO1DwEEVTs3NX7CJJ+HABuZJWMjx1mBCg5COAjycOi7kXRDYXF4TKxqbhjhxdDRVOlB/Mb/OLO37WBZvpvJHi8rG3dwI7B493l8L+8BXiwpTCjmCDQTBpfCIV6vlUOSJgIrRrJIxNOCXyUs8HZhQewcqlCbt4cbiu9mTeMRvBg6isaCr2OlYQJAY8H2rMQjOeHwvjfWGosjx3Qb8VDVd0RkWNLqKcDnqroeQESeAU4XkdXAXcCrqlrVEeNJfrBEfxE7xezd8K4lHJDSQmiNCf0mcFD5QdQF6rjrqLuY0G8Cxe5F7HEfik2/YVk0Mx6PhM02ORtTTqnZjiIUCaAc4/fjFQ8b8u5m7J/uZvb42dY0UgVcHue4vPwnh7NkxUM8/PHDzGUAocahNO6wfAsOu/DPonwO3n4P0zTMoXvyeC//WxzniTceH4JbHmLSt66jonAyu+r9hBVWbatr9v9Q7HaS77QzvLIopRgnBhKEY+1fo+cZVOZmrzfImIElsWPqvIFW28Ru3eNl6x4v00b0YVCZO6Hy788dL/Bzx4vNjrkm8GPqtIgJPh9//HoHS9xuXI2DmOT3JPXkaJrbD2IjTwKRB6+VdV+lVv/1abZVFEsDq3QYVm66MN7nZ4Lfjyp8jRU4UKWj8NTMxFH8T0IodlVOr2vAI8IrxYWRXBT4fl09361v4KmiAZDfJBaTvF6GB4JsseWzrMBOMDlQN531kWy1xIlMOO6YsFg1v94pKOD7dVVcX/8BjzeejF03oViWyq6GcdGLxe5NNsxZsI7F66uNBZJDuo14pGEQsDlueQswFfgp8G2gVEQOVNVHkg8UkUuASwCGDh2a9YWjeQxdwrCjQGyWgKSwEFpih+Mlxv7pktjyea+eB0Cl41T6Bb8LeSWQV8J9a8qY82DTm1n0YVpZ5MLttMdNqU1hs2M4hdpA//P/l8ArIcZ4m6YB3l6SOtLlsgmXcdmEyzj70UVs3euhUa0uchqGmlVvxsTRToDle8u5KPR/Ccf/YPJg7jl2PAesXcQBfds+7ZAYSGBrFt0WnXKKp9jtpMBlJxRWfMFw8imb9suzc9Xxo1i8vjrmU1m1bS+LBl7C3G0zqfMGmx0zUT4jgINDvEEO8nq4NXAEAecXRHtvWD054h+ONt4NxzuBrW2por5eDB3FD+xv4VTrd+VY+womhqzqvqs9R2LbNIRvFs6PVRMOqnDEXjef54c4xlvDRL+foAoDw4NwFW/Bj2JXOKW+kdPrvHwZzmd+n72xTPaoOIzwB/CKWLkmkN7X0YKYAARRni8p4m/FhZy95y2WSNRPpQyV7ayO+/5tId7Bbnwf7ae7i0dKVPUB4IFW9nkMeAyswoidMa6cMWQK9D8krYXQEv2C32XhRXc2W//8by/jrPoTY8tXbTyMq9zAt66zHPQRotZD/APWYyvEQyH9sxhHPPFd5ESEe9f05em46KzF4dGxjPfoFNNLH3/F2YdlL/rJtORjSjflNKjMjd0mDOtTELNAHDYhGE78NarzhVL6XlIV9QNw2qAqfFDEamjyhVi5I+n7jdsAt8tOoz/EdNsy7IRZEJ6EIjgJMs91O8+GvsVzoek8FzqGc+0LsAnYNRzpImhNgYU9Q2nwfpsxrg8JYiOAg6fqL4F6mO26I7ZuScN3OGj7IlYPWEVY4O4+5Qz3VzPBt401eZXWoOJChW+t3s0yt5vfl1slXlLmjMQvp4v2iuwbBP6vvCmhMQC4Kt9i4uaxKRILSVpuWVyMaOSO7i4eW4EhccuDI+syokc3g2rFQmipMGKqfV4oPo8Xis/L7g0+4tz+RnT5llKeBZ4vmgW0fJ50/oQzJg7injNPZv1v/kyhNvD7smtxusZw1fGjUma854JUPqaW/B3RKahaT4ACl51gWLnltG9w498/bdGC+XRrLcFQGH8o9btKIGLEJFsNVTqST0IjCOOg2O2gwRtMrDMFNPota6KpeZOFH1dCFNiLoaOYYX8XpzYJc9MD1cpTiU55RR3wIHHrDqJKR3KU4w3CECtA+VG+k8l+Dwf7/CyKJDQCnFTXwHivn3VOZ2JNL9WmGaZ0YbxRUoQPa9L6twoKOK/8L1Tt/nXsuyTngbSEAKMHFhvhyCHdXTyWAiNFZDiWaMwEzu3aIXUwSXke6SyEeDpsii0SNnz2o4sSO/p54ZdxPoPkMNhUY4paNNE4/Kg1s84VF56Zwufyztqduf9eKcYHzQUl+n1dduHcqUP5nzc+Y1e9P9ZGNcqVx42kzhuIPeCj4vLZ13Xc8LdPY/tNty3jcsfLzPLfgD/yp6eRwh3BuD9FSX6xzoCZ9gU8Gzo2QRxCwMd6QLN9U015Na2zLryrYTzOPpsIYtX6muAJEFQbBRrRg0jGu/j78HToUDbIOitEI7L+cI+XQcGg1QMlVe5HlBbCeZOnu94va+CRvf/DY6FTAavr4op8B9d6/snddb9sUUCURJ9ZKoxVkh3dpp+HiMwDjgEqge3Azao6V0ROBu7HCtV9QlVvz/bc7ennkUu6shZPpiGL8fu1NF6g1Uil+O+VfP2Lb7ydN4ITmh2T7HNpadyZ3s+2hGsm91GPEi+W8eebcvsb7KjzA2AXuPqEg7j82AM56MZX8QfDMS34ueMF+lHDTcELCEWEQwhjR7nN8STnOhZybeDHPBuanvFYs8MaSeoaUlHVsv4dnf8+lYWfsKthHPnefkyzrUbzN/P8oE0ERXCocuyWsTzfcB62/A2UDn2UsIRxqvL4th0AXDCwP8H4maR0wtHqsJXKUIg3N32FAm+7yvjlfkWxvi7HbhnH8w2zaI9PJIoRkSZ6RD8PVT0nzfpXgFfacs7uNm3VFU749kSNtTbeNn2XSNb6u8EbsBHCRdDK3D52RszKAXhn7c6Et/vkcXe0EMf3UQdaLIOxfGMNOyPCAWC3NyV/uhw2XA4bn97yHQBG/T/BH9JmUy5B4IbgxdwQTKzhabeBTQSn3YbdJhEnfohQCj/+dNsy3g5PsJITI0UG7SjjZV1cBVvr4apxSZCJNJk9qz1HguebRAqgWGVXGtbx4DbrjX+CJ8jdjVMBCHv2p3bTpTgK1rNfo5OVgTWIezM2PLFrNnOep8oJiSdJXHbZ7VzavxIVIT8cTujrUpO/CxraLxyGzOk24tERtLeqbm+gS6PGUhHJWvdGCjAGxM7iY59h0rGJAp+JcHXE90onSve9sTb2Obk4ZHKm+5mTBqfN4QmFLeFoqZd44v4QQgmEWo+2S/aHKHaC0IbS5xr5sUTIylW30k6rdCR31/2SaQ2ruDtSTSAqNmHPUPye/VmNciNH4spbSJ681uT3iCukmLaWVrqijZF18cUZ7YCoFXo807ee3bI2xX1ssqRAcRDmaNuKZvcKjMWRLb1aPLqb5dGd6cy8ls4qdd+W75TOV5Oq90g0Cz/++9gEZkwcnPLcyzfWEFKYZl+d0GPdiohq+z3Oswu+NE76ttF8OkvjpoNS+UziH9AWSrBxOC51gpXzbm1LdpTHkyZxMWH/OCGJymlYhErZy3Ou21gWGsUeiiijnjwJ8GzoGNbqEKbZ/hMJEDgopXCA6ROSLb1aPIzlkTmd9SafPp8k97TnO6Ubd4nb0TwL/9gDOXhAMZ/vbODAvoVpv080emxxeHQsQ7wpIspi6vCKtKG+qbABeU47vlDznJKOIT4kNioWEreuibBnf4Zs+g6Ovm+ysaAhsUVvusq80eVUn2NDSArtVeXavn2oCIc5o24zZ9Y18HGei6X5bmZ6/sIhPuveBPhHi1YeWAIS/X83lkjL9GrxMHQ96R7gqfJJuhPx444Xkr1xiX8iErOait1O8hw2q/JvCuLP0RQRZfk81jhHM3VQaSxIIZ14uJ02RlRavTyi+Scup42KQhcl+U52N/hp9Idw2SVtuHD7kaTP6fwMkcq44cdZvQd+kt8PP0R6wFtTTeO8PlbkuwmrIhrtG9+KQz1NuO9XTgdfASvzKliel8eCooJIXawS/rhtBxP8/rgM/pYFISrg8UICRkyS6dXiYaateg5dWg6mFZIF8ORWKhyDJY7xIhD9bnaxWtjGT/0447zf0Yz1KMs27EYV9ivPZ87MQ/nZvKqEKDBvIMyG6sSiTw67jUOHlsYy54eU57dabiX3SKwQ50R/mD9Gam6VhkLU2u0c6vEy3hdgZZ6TpfluPnc4eCXaHTFFX5AEWhGV+cVNzbL8wEvFhSwNupngCUQq97acUBj9f4vvGWJoTq8WDzNt1XPodo79FsikwnG60OJtbz3KC6GjIw2PrKmfs3iDfptrGXbdbq48bmRiTk2ELTWehOizlmj0hxKEq/OFw6Jpei7AeJ+fcT5/wuP6xdA3Od23iLWuEK+UlzZtaKkYY7J1El0X3T8pwz0MvFhcRBhwlsHk4KfQ2FQ7LLJj3L82qzTOmeNNk6lW6NXiYTB0BsllTtJZTVcdP4qz159JOO7B7rLbWNHvDIrdTjZEBCdaK+uaEw+OCYZN4PlLj+CdtTszqgQ8uDyfWk+AErcjZb5KidvB4A62SOKn53ZrESfZP+RI20rsogTVcnIDLIhW2I08+PsHQ+xy2GMO8YJwmEabrfWckDRNqUKRZT/KfmULmeiJL3MCifktzfuCxCcWdgdLuLvQq8XDTFsZOoP4qabWpji21CROMflDyqptdbE+I/HET1+F1VqOWmhjb3mNRl+QycMqqPMG2FnvY1ed33p3Fkscaj0BBpcXcOakIc0EZ6832CkWSZWOjGWur9UhTHF9Fiud8mpoClNsnzG9oZEP4kqeDA4G2e6wx8RgtM/P8rjtLYpIS71GABHlDPu7VAVHMdO2gJPsH/JqaArPhNP3P48Kd3f1z3UVvVo8zLSVoaPJ1lczuLwgoexJ1LGd3H8CEgss2sQKcU6+Xvz8fPRRGS1fH92eTfRWMgK8MPsIznz4g2wrppA4HSQJpeTji0L+qvbP3MR2/l1YwLcbGlniLIU4LfXZIqHD8VFarflFovtDQmRXUcS/NNO2gDudcwE42vYpBOCZcHxWf9N5wwozHv7AWB1JtKk8iYgUAl5VzaxOeBfTXcqT7Mu01nipJ/1htrU7XTZZ8a3te/Kcd2ICEW2UFY30mjaiT8pjXXYhz2lllg8pz4/lq8SX0rKJleTYWjvXXPIbx1xm2RfE9OB513Du2i9AMFJ65LrqGn7Tp7wpGqsl8UjX9TDuOdf36yO5uWElR9s+jZ3mS+3PLwKzY0mPhTTSQGHK8U4dXrHPONFbKk+SkXiIiA2rKOEs4DDAB+QBu4D5wKOq+nnORpxjjHh0H3pyW9D2lERpy7EtHfPXqi1sqfHE1kV7t0Pqe5uuVleJ24HbaYvV5QI44oA+fPBFbioaNxEmMbS3KfN7oqxjnus3OAgRxM7NgR/x/aJnWJFvZ6rHyyE+Pw+Ulzb1EYmSjYDE/TswEOR7dR68NmVNnovjGxo5s66BEMKNgQvTWiDp6EkvPtmSC/F4G/g38A9gparVyUdEKoBjsSrd/k1V/zdno84BcT6Pi9ety77dqCH39GTxyBVjb3mNOm+QYrcjVvMqHcn3K52gVBa5OKBvUcK+Le2ffOyueks8ovP7v/r7pzHLJlol+J5/rWHVtr00RpLuClx26ny5mXxIrvVlLa9itxZTIXVcYP8Xb5WE+HdhAeXBEK8WFxJ5CFknyMQfEr9fEhfs2ctVNbWEEc7y39xqifcovVk4IDeFEb+tqoHklaq6G/gr8FcRSZ0d1YUYn0f3I7ku1L5Ecu5HnTeYdT5LfEhzNN+kxO1Im5wYv3+yEMWHojb6awmGNZYhH+2mWFHo4ogD+qQME86NcDT5Q6JNq0CblYgvopHZdf/kzLoGAEZ5hQf6FhBK11s9nYik6a0etWquqqmNOdQT6+KboovJZCQeqYSjLfsY9m2Wb6xpVhdqXxKQlsrct4VaTyDlVNR9b6zNSIhS5ZMk97xo9Ht4btmWrMumZEeyAEjSeuGekNXG50T7Uj4KH8iuPYP5pb+KL0p2AfCJy8Vnea7I7imms1ryk8QJyJBgkLPq3ubF0FFJXQtTJxbuy+VMsnKYi8gC4HeRMunRdY+p6iUtHNblGJ9H9+DBhZ9zb6SabnzPC0N6Wprmi25L5yBvrXx9tDdJuuOj27OdYhz1/17pgPIoloUSX5EYwE4YEXi+qJDbKiusXZNForWorDhhKQ+FuH/7Luo8BzEnOCMiIJCcC5KO3iYgueznMRy4VkQOU9VbI+tSl6g0GJLorGq6vYFsQoDbWr4+vmJwqjyVtmZY5znt+HNeqNF6eE+zrYpVJA6qEMKGaJg99kh/klTWRiZhvRFq7HYuHtifx7d9xrO+21gZHs6zoWMieSAtH2+Tfasib7bisQc4DnhARF4G/ivnIzL0WibtX87BA4pbrQtl6NhyLemEKVWiYnvOm3uExeExCRWJbw2cR4XUU1+/A1vZukQnesKhGdTJivzrR3mkvJTZNbVM8H3BBNsXkTyQ42jJ+ggradvc9jaLBLIXD1HVIHCZiJwPvAd02yeAyTDvfmRSF8rQsaQSpp5Sxym+R/viWDMqoAF+umc2T5WXNG8kBS37O+KJ7P9BvpsP8908uW07471+zrYvjITwtmx9bLjrFGDfiCrMVjweiX5Q1adE5BPgitwOKXeYaCtDb6SjKxC39fxRUepoCyR1Myrwh4usyS0RJCICChlNV8WIE5mgKlf0q+SEBg+n1G9lYnBdUghvcysk3vIozkvX6rd3kGmex+9pHhIRQ1V/lstB5RrjMO8+7AtvZD2JXPeCT3e+5Pip9tE8OmuirOXa4nu5fGA5wYh4hESaN6CCzHJBkhpU2YHbtwQp8lUm1cJq3YkepSdmpuciSfBHcYu3AjfHb1fVP7VrhB2MEY/ugxGPfYuxN/8rZ4mELXGZ/R9c7XielW4HH7rdlIdC3NOnHJ9IotRkY4XEo8okj5dven0c5vHyQcMJsfDhbOlJ/o92R1vFi4OI/Ly7i4XBYOgejNnPako1ZmBiaZGlX+4mnOaYthDtHXKIN8hobyM2woz0B1ia76YsFOK9AjdvFhRkb33EsTzfzUf5blxlJTy27Q0m1k2Om8bKzALpScLRGm2pqttR/S0zRkRGAP8PKFXVM7t6PAaDIZF01X8HlbkpzXfmVDiguSP9DPu7nOtbwAS/P6YXbxYUNB2QrtFUqs9xhEXwAcvy87jS89e4XJDMLJrelFSYdVVdEalS1Yk5H4jIE8CpwA5VPSRu/YnAHKxpx8dV9a64bS9kIh5m2qrryfXcuqHnkK4oY0cyUdbyrOvXOAghApf078uifHfMl1EcsqbS6kXQdI2mUmWpRzilroE7du3Gh4tZ/hti1XgzFZFBZW7evy59D5HuQi58HnU03Zl8INrRRgBV1ZJ0x2YxyKOBeuDPUfEQETuwFjge2AIsBc5R1VWR7UY8DIZOJBdl5QucNhoDubQ9UtegmmlbwK+dTyGEeLG4kF9HM9CBm3btZmQgwPkD+hFK1do25WUSHek37drNGXUNfBI+gF8Hz8t6Cgu6/8tTLsTjCGBxtJpuRyEiw4B/xonH4cAtqvqdyPL1AKp6Z2TZiIfB0AXkuqfJoDI3X+3x5nxOPFqd93Tb+3xSuifWcOrMugYeLyvh9+WlzSOyMixlAjC9oZELausY4wtxU+B8KqQukn+SWVmTniwemfo8zgP+ICJrgX8B/1LVr3M1wBYYBGyOW94CTBWRPsDtwKEicn1UTOIRkUuASwCGDh3aCUM1GAwt0VL+R3x3xbW3nwxYApWqeGPmaKxa724t5s66ubGqvG+FxjKs8StcZYov/pDWQnrjs9FVebOwgLcLC3jqq+3cyVzCCH6cscz3aIn5dMS3Gu5pZBptNRtARA4GTgKeEpFSYCGWmLzfmV0FVbUauLSVfR4DHgPL8uiMcRkM+wptKa2fqjw8JFb39Yc0bYmP7GhqNgXCWh1CAHus4dTvQzOY1riKR7e9xO/6lPJptCJvlEymsSL7hFSZ3b8vV9fsodZuZ5LHy294EoAAjohPJHOnek/Bls3OqrpGVe9T1ROB6VjlSc4ClnTE4ICtwJC45cGRdRkhIqeJyGO1tbU5H5jBsK8SLa2/pcbDrMcXs3xjTYdc58rjRnLlcSNb3zElkvDvNNsqbCg2AVukwOLi8BjG+ML8d3UNDiWxP3qUDAOK6u02bqusYE55KRcO7MffivNxSBgnAabZVqc9bsmXuxl23fzYz31vrG3j9+18shKPeFTVo6qvqOpP082J5YClwEgRGS4iLqxWuC910LUMBkMGLF5fTTjyTA0Ew+2aekk3LRUVjVyVOYkWVAyqjQCOWF2sWwPnMc4X4vrq3U0Pw6iIQOYWSNx0VlCE2ysrWOFyYUfZrUU0WUHpmTq8olv7P5JpddpKRI4HfgA8qKorROSSyJRQThGRecAxQKWIbAFuVtW5InIF8BpWqO4TqvqfTM9palsZDLknF6X1WxKN6AM03Vv4oDI32/d6CWYRvtOUB7I6wQ9RIXUIyt74ku5R4ciwjHuMOId7SJWXigsZ7/NzjO3jFCXdlf3YyVf0i62JWiHxdGeHeiY+jwuB2cCNkZ7lEzpiIKp6Tpr1rwCvpNrWGqaqrsGQe9pTWj+bUN/k6r/tdaAnFlS0fCFRi2Six4erTAkATlUmerx8UJDfNgGJ8FJhAaN9fmbULWNmeEFcPSyLr6hs9XTRe9UdBaTVUN34ToEichdwnKoe1hmDyxUmVNdgyC1dUaOsfcmG8eGyic70ibKWM+zvcnDB+3yU7+Iwj5fxPj/3lZfGepsDWTWViveVTPL6uHL3HvY0HsT+th38K3RY1nWxusoCaSlUNxOfR8yOUtXrgD/namAdjXGYGww9n/veWMuw6+a3M0tdUny2/q3SkdwYvJA76q5jSPUo+nvyUeCqmlpu2pXUtz1TKyTOD7Lcncf5A/vzbr8t7HXXMNvxT66x/19Wo5+zYF2367mSdXmSnoixPAyG3NIdqiPnpld6cyvE6pHut+ohlZXwQHlpk2hk40hPuIx1nF3h/1Xv5oi9Lr7pfzBpDM2xCay/85TsrpVD2mt5xJ9osoj8TUSqROQTEfk00hDKYDAYOpU8px27gKPNMaPQPKR3daRHOoQQDm4EVzT6Klv/R7NLCSGB2ysr2OFuiFgf8eLVnGhr22HXze92lke2t/1p4ElgBnAaViHD03I9qFxhpq0Mht5HdBqrzhskpGQVddUa0dLuVkivk08bj2buth3sFwy2/aRJfdJDwC/7VdK3fCHX2OdlfJolX+7mm3ctaPs4ckxW01Yi8p6qHtmB4+kQzLSVwZAbulN15I6q1mvVw7JCeqfZVnO141lWul1cMKA/wQTXSdxUVqYWSdLz9oI9e3lv+1VJtbBap7Pudy5qW0W5WUQeBxZAU0kYVX2xHeMzGAw9hOTw2a5kcHkBe71BxgwsaWcNrEQSQnrDEMDFIV4/T27bztJ8N8vyXE1hvNmSlL3+ZFkJv2r4E9T/KKkqb+yAtn6NDidby+N/gYOB/0Csn4uq6oUdMLZ2E5fncfG6dbnJVDUYDF1LS5V5B5cXtENIos/CxGS+mbY3+bXzKWyEUOCyAYm9QWJkU9Y9bnl6YyOH+ALYGwaxyzMuksSYWS2sju6L3u6S7HEn+kxVD8rZyDoJM21lMPQuWqrQm1uUy+wvcbXjeRwSJqg2HiscwMP97LE9CkMhGuIz1LM6vSJYMuFS5Y/bdjDaF+Yc/40tVuNNpqOmsXI5bfWBiIyJNmMyGAyGriBV9jlYpVNyKyoSc6KjQQI42LTnJH5le4Z/FxZwsM/PvNLipt3bEMqrgMba27oZ79vLGfZ3qQq2LAZd3Y0wW/GYBqwQkS+xfB7RToLjcj4yg8FgaIV0vdKvPG4ki9dX89GmmnbnglTpyIS6WGfY3+WsugZ+UN/AH0tL8EcTAtuSAxI9ThUF3st3M9nj5cDGaPHwxDyUeLbu8aYsX99ZzvRsxePEDhlFB2FqWxkMvZuWHPhnP7oIh92GP9TeVkOS4EQ/g3djWw7zeHGVlRAAULVa2kY+Z5WNHjlmuTuPCwb254lt63mk8X94LHRqVtNXnUm2Po88rByPYcQJj6relvOR5RDj8zAY9h1y6w9JrokFE2Ud81y/iTWWetg5AVvBBgaEPdzdp9yyRKBtWegRS+Qgn5/vNHo41OPnjrrrIgLSem/0lkrZt8UiyaXD/F9ALbAciMm5qv4uqxF1MkY8DIZ9k+Uba5jx8AdAJh01MkWZKOsSyrtPlLU857qNlXkObu5bwXqns3lTqdbEJKk/ug3LiX79VhtX19+V1Qij03bQvhIyuXSYD450ETQYDIZuz6T9yylw2QmGlf1K3WyobszBWSWpvLuVG3Jj4AJ+wxP8V20dt1VWJPpAMm0qFScg4YgTvbpwDzMb40u6d488kLZEW41V1U87ZDQGg8GQI5Knr6LC4bDltqRJdDrpmfBxHBLawPq8Kmt1nDM8a/8HxJzoy/Jc3G1/mrU6pFkzq3TEf+9h183vECd6tuJxJHB+T4m2Mg5zg2HfJepMjy8ouGrbXkrcjhyXNWl64L8YOorxWpWDUzY50T8oyOeufmGe33UrihDAwSz/DVk50rfVeto/piSyLYx4EjASOIEeUBhRVV9W1UtKS0u7eigGg6GL2FLTyJIvd7Pky93UeYMJwvHX2UcwdXgFg8rcOblWlY6i/96huBREFYnOMMVX5s2mrElEROYXF/JicQEOCeMkwDTb6uiJMzrNc8u2pG3r21YyEg8R6xuo6sZUP/H7GAwGQ3dicHkBU4dXsOGuU5g6vIIxA5uS+mY9vpgvdtbn1BJ5veH7PLJtF1fU1PLnbds5pa4Be7gdfUAix/y+vJTbKspZmedknHzBRFlLNmEAcxasy6mAZGp5LBSRn4rI0PiVIuISkeki8ifgRzkblcFgMHQQe71N5dUDwTB7PYGcnr9KR3Fn3bXs2XUSxZ4K7ty1mzMaGtp2sjixqbHbeb6kiIsG9qd/wSc877o10hOkdQEZVOZmw12n5NTvkal4nIgVmjtPRL4SkVUish5YB5wD3K+qT+VsVAaDwdBOon0/olNW0c/eQFPSoNNh48B+RTHLJJon0V6qdBQPhU5nL4UAfLe+AZeSOGWVbVXeSNSWX+CR8lI+zXMy2/FPZtoW0FrUVa4FEtrQhlZEnEAl4FHVPTkfUQdg8jwMhn2b1hIH4+tEtT/JsCmZb6ZtAXc65wLwsdvFk6XFvFlQ0LRrNtNYcc9qAfIihRRrPQfxo8D1za4dtUYE5XbHXHZQzlz72Xx6a+bZFjlLEuwuiEgh8BDgB95S1adb2t+Ih8FggM6sxgvRB/k19v/jJ45/xqZ5Xigu5PHSEr5yRoJd25GJflZdPadsL+f20A+bhfHGN7WKj8zacFfmPdF7hHiIyBNY0Vs7VPWQuPUnAnPA6kevqneJyHnAHlV9WUSeVdWzWzq3EQ+DwRBPNHw3Xfb12Y8uyklRxaiAzLQt4DfOJ7BhlWD/2O3iqn6V7LLb29YXPS4L/U9fbWecL4ACfpzM8t8AwNOuO3ASjIX2usXHYh3L+jtzIx7tah2fY54iqfCiiNiBB7FChMcA54jIGGAwsDmyW3urnhkMBkMz8pz2HORvW2eokHpAsAl8nOfi4gH9qI72AEn2g2TyQh/xf4SB+8tLERS7KK5IGO8022qcBOJCe1fxQXgs4RzaCtkmCSIifQFUdWfuhgGq+o6IDEtaPQX4XFXXR679DHA6sAVLQFbQvQTQYDD0cO57Y22stHuuiO8JsiTfjV8EjS/jniwYWWSlL893871BAxgWCPBNj5dd8gnTPA3YA4oq2FF2azE295eEvcNz9p0yEo9IDsfNwBVYD2sRkSDw+w6uqDuIJgsDLNGYCjwA/EFETgFeTjPmS4BLAIYOHZpqF4PBYEigo3wiVToq1hPki7ogzrIlBLESCYPx/UCyncKKHLfe5WS9y8mbhQXYqGehKqHqQmrtdiZ6fFQE63MqHJC55XEV8E3gMFX90hqzjAAeFpGrVPW+nI6qFVS1AbiglX0eE5FtwGkul2tS54zMYDB0Z5LFIdpMKVr7KfrTESISK6bYCLO3bqOicCVloRB39CknCM0FpI09QcIi+IE7KisIA84ype+mPuAJk8uJmowc5iLyEXC8qu5KWt8XeF1VD83JYKxpq39GHeYicjhwi6p+J7J8PYCq3pnNeY3D3GAwtIXciEjzPhwTZW3EoR3ggfISniwrsTYkVdbNSDySSrlDk0SERUDBt/M7+Ku/xc8dL/Lz3zyZ8chzUZLdmSwc1ph1ZyTvo6NYCowUkeHAVmAmcG6mB7dUGDEQCLBlyxa83lwWSOs63G43gwcPxunsyP8Og2HfIr64YtuLKjYXgPhpLH94EZAkAG2ofxX7rEo4clWbKnYVBjc6WQ1caH81y7GnJ1Px8LdxW8aIyDzgGKBSRLYAN6vqXBG5AngNK1T3CVX9T6bnVNWXgZcnT558cfK2LVu2UFxczLBhw+jpZblUlerqarZs2cLw4bmd1zQY9nXiHeh1caVN2kt0Gus79UHc5UvwY/0ta1s7EcYfFynnrkBpOMhvnHO53duXCwb24685Gn+m4jFeRPbGDzPuc07KUarqOWnWvwK80pZztmR5eL3eXiEcACJCnz592LkzpwFwBoMBy/pI15WvfdNa1nTWAT4Hl2zbwUf5bp4pLmK7w95sGgrIbgorzgdSY7dzwX79uGzL3wh597RxrM3JSDxU1Z6zK3YiLVkeQK8Qjii96bsYDN2FlhzskLpXeOZYBQ0Xh0fzU9/fGO+ro1ZsPFVWnDh9lWknQkjb+lZV2VzyNfvlsAlWpg7zw4DNqvp1ZPmHwAxgA3CrquY2KDpHxFkeF69bl/ifvHr1akaPHp3yuOuvv54TTjiB2tpaVq9ezfXXX59yv1Ts3LmTU089Fb/fzwMPPMBRRx0V2zZs2DCWLVtGZWVlwjGPPPIIBQUF/PCHP8z8y6Wgpe9kMBg6jrMfXdTG3BDL+oiWEhknX7Cqch0LCgsY6/XxSlFB26exEi6jHNvQyMLCAj49f2XGh+Uiw/xRIr4NETkauAv4M7AXeCzjkXQybW0GtWTJEqZNm8bbb7/N0UcfndWxCxYsYOzYsXz00UcJwtESl156abuFw2AwdB3P/uRwNtx1SlZ1oywsQYhW4QW4qqaW+Vu3cUAwaM0oxIfutqOc1Iq8vDYfm4pMxcMeZ12cDTymqn9V1V8B3bbHq4icJiKP1dbWZrT/L3/5S8aNG8fSpUs5/PDDefzxx5k9eza33dY8D3LDhg1Mnz6dcePGcdxxx7Fp0yZWrFjBNddcwz/+8Q8mTJiAx9O89eM999zD2LFjmTJlCp9//jkAt9xyC7/97W8BOOaYY7j22muZMmUKo0aN4t133wXgP//5D1OmTGHChAmMGzeOZEvKYDB0LdES8O1hF00vuod5vDgjHQmB9lkeQI09t8U4MhYPEYn6R44D3ozblnWJk84iW8vj3nvvZe7cuZx//vksXbqUcePG8cknn3DTTTc12/enP/0pP/rRj/jkk0+YNWsWP/vZz5gwYQK33XYbZ599NitWrCA/P7/ZcaWlpXz66adcccUV/PznP085jmAwyIcffsj999/PrbfeClhTW1deeSUrVqxg2bJlDB48OPMbYTAYegQrw8MAy8AY7/PzX1v7c2Zdfft7gXQAmYrHPOBtEfkH4AHeBRCRA4HMXut7CFVVVYwfP541a9a06D9YtGgR555rpZycd955vPfeexmd/5xzzon9u2jRopT7nHHGGQBMmjSJDRs2AHD44Ydzxx13cPfdd7Nx48aUwmQwGHo2FVJHGEEEQggn+7bxq101zP16O9MbG62d2pIL0gFkGm11u4gsAAZiZZRHR20DftpRg2svLYXqJrNixQrOP/98tmzZQmVlJY2NjagqEyZMYNGiRTl7WMdHRaWLkMqLzE3a7XaCQSuu/Nxzz2Xq1KnMnz+fk08+mUcffZTp06fnZEwGg6F7sDg8Bj9OnBokhI0Rtq0ATPD5uX97NT/vB28WFqQO5e1kMrI8RMQNTMOasvqv6BSWqq5V1aoOHF+7yGbaasKECaxYsYJRo0axatUqpk+fzmuvvZZ2+umII47gmWeeAeDpp5/O2Dn+7LPPxv49/PDUvQRSsX79ekaMGMHPfvYzTj/9dD755JOMjzUYDB3PVcePamcrW6VKRzLLfwP/EzyL50PfQkh0dfyotg5H1HEeFZAuEpFM/RV/AgJY01XR3hpXdtSguoqdO3dSXl6OzWZjzZo1jBkzJu2+v//977ngggu499576du3L08+mVm9mJqaGsaNG0deXh7z5s3LeGzPPfccf/nLX3A6nQwYMIAbbrgh42MNBkPncdXxo3hw4TqCWedUNEVeVYVGMVHWcpb9bWxqzT6EEMb7/NxQXcPtlRWEcuRIbyuZ5nl8qqpjI58dwIeqOrGjB5crUhVG7I05Eb3xOxkMPYnc9D+HqJBMlLWcYbciLleGh3Gz8y848XNHn3KeLylqPn2VTkjirJXOzvMINI1Bc1fcpYPJNlTXYDAY2kN06mrq8AqK3Q6mDq+ILWdmHwjx1Z+qdBQvho7iK61krQ5hlv8G3g+P5bT6BtxRQcjQAikP5zC9nLbVthIgP7IsgKpqSU5HlSNaK09iMBgMuSTZ8ljy5W6GXTefQWVubAJhbbItWkeZKOua9SKfE5zBc77b+OO2HSzLd7NXxCrp3ooFkh9W6nOY6tGra1sZDAZDZxIt4Q5WyRKAaSP6tHkqy+pFHsQhYdAg02yreSh0OjcGLuB25gJw8cB+0bf4pjpYKXqBOFXIy6Fz3fT/NhgMhm6JxHqfB9VGAAeLw5ZPc60OIYiDD+P7oSdbG0n5IGfVejjIn5MOGkA3zg43GAyGns6WmkbmLGh73dj4plGLw6OpUisMeJptNXZCTPF6+aOWWE5pVULJjaEiDPUH+E6d8mZx7iKzjHgYDAZDDsl1//NY7/M4FodHo9gY7/Xzx693sNTtpiwU4q4+5U3d+eKmrqb6fKwIHwBsydm4erV4ZJNhninpfjGuPG5kbK6zLQwbNozi4mLsdjsOhwPTc91g6JnE+z1Scc0LH/Pcskwf4vGhu0290Kt0FL8KnM+vnU9xiNfPeK8fBQ7wB1ie76ZOhD+XlRBWxanKd+saeCY8nrc3/Hc7vlkivVo8OiLaKr6nMTTvLNYeFi5c2KzXh8Fg6F3cc+Z4Vm6tZa83iMMmbKhubGFvSfMZngkfBwH4tfMpwoQIY2dxwwn82PcqTkJMb/SwLN/NZK+XcT4/r0s9n+RdBHydk+9hHOYGg8HQyRS7nQwqy2fHXm8bjm6KmKqQegTFLiAo9RTyXOgYFJjg93PRnr2M9/ojzvaDWaX75+w7GPFoI3XeAFv3eFi+sSYn5xMRTjjhBCZNmsRjj3Xb/loGgyGHVBS1pUFTkwWSKhprZXhYJHTX2mdJ+GDO8d/ICj2QxeH0JZeypVdPW3UUyzfWsObrOsIKsx5fzNM/nsak/cvbdc733nuPQYMGsWPHDo4//ngOPvjgrLsYGgyGnkWJu32P4ObRWKOYZltNGMEuSlCFd8LjqVLLB3N/8Ex+noNxg7E82sTi9dWEI6oeCIZZvL663eccNGgQAP369eP73/8+H374YbvPaTAYujfFbic2wOWwUeBs2+M42sI2KhCLw6Px44xYI85IbojiwM/PHS/kbOw9UjxEZISIzBWR3N2JLJg2og+2iOXodNiYNqJPu87X0NBAXV1d7PPrr7/OIYcc0t5hGgyGHoBE5pgaA7mpPRW1Rv4neBaz/DfERCWIi/uDZ+bkGtAF01Yi8gRwKrBDVQ+JW38iMAewA4+r6l3pzqGq64GLuko8Ju1fzsEDitnrDTJn5qHtnrLavn073//+9wGrBe25557LiSeemIuhGgyGbkS6UP9QKLc9OZrnhuS+bHtX+DyeAv4A/Dm6QkTswIPA8VhZLEtF5CUsIbkz6fgLVXVH5ww1PcVuJ8VuZ7uFA2DEiBF8/PHHORiVwWDozsTngKQTkmhGR9tpygdpWoZcC0inT1up6jtAcr7+FOBzVV2vqn7gGeB0Vf1UVU9N+slIOETkEhFZJiLLdu7cmeNvYTAYDO0jWr59UJk7YX37bZBkkWgq816cl7sat93F5zEI2By3vCWyLiUi0kdEHgEOFZHrU+2jqo+p6mRVndy3b9+cDfS+N9Yy7Lr5LPlyd6zc8rDr5nPfG2tzdg2DwbDvMLi8gKnDK9rRvjZz6nyhnJ2rR4bqqmo1cGlr+3VEeZLWSg8YDAZDJqTq/ZHM1OEVKde3lVxaHt1FPLYCQ+KWB0fWtQvTDMpgMHRXUr2IZiIo7eHCI0fk7FzdRTyWAiNFZDiWaMwEzm3vSTvC8jAYDIaOIpWgROvobalpZOuetpQzaeKF5ZtzNnPSFaG684BjgEoR2QLcrKpzReQK4DWsCKsnVPU/nT02g8Fg6G7kQjSi7PUEcnIe6Jpoq3NUdaCqOlV1sKrOjax/RVVHqeoBqnp7jq71sqpeUlpamovTWSy8E24pbf6zMDmiODsuvPBC+vXrl5AceMsttzBo0CAmTJjAhAkTeOWVV9o7eoPB0MOIOtQ33HVKm7PQo/TGaauew7HXWz9PnmItXzA/J6c9//zzueKKK/jhD3+YsP6qq67iF7/4RU6uYTAYei7LN9bgDbY9C729PYeS6dXi0ZN8HkcffTQbNmzo6mEYDIZuQrLzfMbDH7TrfNFz5UpAukueR4fQIdNWUXx7oXYzbO7YAoZ/+MMfGDduHBdeeCE1Nbkp/24wGLo/0STC6M8PJg9u1/lybXn0avEQkdNE5LHa2trcnnjzh7B9JezZCH/6bocJyOzZs/niiy9YsWIFAwcO5L//O3ctJA0GQ8/injPHM2ZgMYPL8/nr7COySirMtXBALxePDrM8NrwLGpl7DPmt5Q6gf//+2O12bDYbF198sSnTbjDs40Q7EE7av5yrjh/VrLRJOuYsWJfzShi9Wjw6jGFHgURund1lLXcA27Zti33+29/+Zsq0GwyGGPe9sTZnIbxtwTjM28KQKdD/EPDWwozHreV2cs455/DWW2+xa9cuBg8ezK233spbb73FihUrEBGGDRvGo48+moPBGwyGnk66irydSa8Wjw4tT5JXYv3kQDgA5s2b12zdRRddlJNzGwyG3kU0E/3sRxdlXMLEOMwNBoPBAMCzPzm8U6rxpqJXWx4dwsI74e24Joe3RJzx37rOSh40GAyGHJM8TTXsOis5OWpNRC2Ksx9dxEebavDnuDNhKnq1eHSIzyOaYW4wGAydRGutIFrygdgFrj7hIC4/Nre+3149bdWhSYIGg8HQTYhPKBwzsJi+xa5YP0Gnw8a0EX1yfs1eLR4Gg8GwL3HNCx+zalsdO+v8sXa23kCYd9bmvhV3r562MhgMhn2J/fsUJiwPLs/nvWund8i1jOWRJQ+teIixfxrb7OehFQ+1+ZybN2/m2GOPZcyYMXzjG99gzpw5gCnJbjAYsmPaiD7YpGm5xN1x9oGxPLLksgmXcdmEy7jgXxcA8OSJT7b7nA6Hg9/97ndMnDiRuro6Jk2axPHHHw+YkuwGgyFzJu1fzsEDilm7ox5pffd20astjw4rjJhjBg4cyMSJEwEoLi5m9OjRbN3a7hbuBoNhHyUYUgIhZc3XdSzf2DHVuHu1eHRktFW9v55tDdtYsWNFTs+7YcMGPvroI6ZOnQqYkuwGgyE79nqDsc9hhcXrqzvkOr1aPDqKFTtW8FnNZ2yt38rFr1+cMwGpr69nxowZ3H///ZSUlJiS7AaDIWu8gVDC8r2vfZbzirpgfB5tYtn2ZWgkEC4QDrBs+zIm9JvQrnMGAgFmzJjBrFmzOOOMMwCrJHuUiy++mFNPPbVd1zAYDL2fA/oW0eivpaLQxZyZhzJp//IOuY6xPNrA5P6TkYg7ymlzMrn/5HadT1W56KKLGD16NFdffXVsvSnJbjAY2oLdJrG+Hx1Fj7Q8ROR7wClACTBXVV/vzOtP6DeBg8oPoi5Qx11H3dVuq+P999/nL3/5C2PHjmXCBOtcd9xxB/PmzTMl2Q0GQ0YklyhZ8uVuhl03v0O6CEIXiIeIPAGcCuxQ1UPi1p8IzAHswOOqeleaU6Cqfwf+LiLlwG+BThUPgCJXEUWuonYLB8CRRx6JavNCZieffHK7z20wGPYNkgskglV1t6PoCsvjKeAPwJ+jK0TEDjwIHA9sAZaKyEtYQnJn0vEXquqOyOcbI8cZDAaDoRPpdPFQ1XdEZFjS6inA56q6HkBEngFOV9U7sayUBEREgLuAV1W1qoOHnMBDKx7i4Y8fji2P/dNYAGaPn81lEy7rzKEYDAZDl9FdfB6DgM1xy1uAqS3s/1Pg20CpiByoqo8k7yAilwCXAAwdOjRnA41mmBsMBkN3o7W+H7mku4hHVqjqA8ADrezzGPAYwOTJk1N2RlFVLCOm55PKZ2IwGPYtWuv7kUu6S6juVmBI3PLgyLp20VJ5ErfbTXV1da946Koq1dXVuN3urh6KwWDYR+gulsdSYKSIDMcSjZnAuR15wcGDB7NlyxZ27sx9nfuuwO12M3jw4K4ehsFg2EeQzn7zFpF5wDFAJbAduFlV54rIycD9WBFWT6jq7bm65uTJk3XZsmW5Op3BYDDsE4jIclVNmQXdFdFW56RZ/wqQ04YVHdLD3GAwGAzdxufRIZge5gaDwdAx9Grx6Cn9PAwGg6Gn0ek+j65ARHYCG+NWlQK1KT6D5YvZleMhJF8jV8e0tE+6banWJ68z96fl/cz9aXm/ffX+ZPu3lbzcEfcm3bgyPWZ/Ve2bcg9V3ed+gMdSfY4sL+vI6+XymJb2Sbct1foU98Dcnwzvl7k/5v5ks66Vv7Wc35uOvD+9etqqBV5O87kzrpfLY1raJ922VOuT15n70/J+5v60vN++en+y/dvKdBztpUPuzz4xbZUNIrJM04SmGcz9aQ1zf1rG3J/09LR7s69aHi3xWFcPoJtj7k/LmPvTMub+pKdH3RtjeRgMBoMha4zlYTAYDIasMeJhMBgMhqwx4mEwGAyGrDHikQUi8j0R+aOIPCsiJ3T1eLoTIjJCROaKyAtdPZbugogUisifIr8zs7p6PN0N8zvTMt39ebPPiIeIPCEiO0RkZdL6E0XkMxH5XESua+kcqvp3Vb0YuBQ4uyPH25nk6N6sV9WLOnakXU+W9+oM4IXI78x3O32wXUA292df+Z2JJ8v7062fN/uMeABPASfGrxARO/AgcBIwBjhHRMaIyFgR+WfST7+4Q2+MHNdbeIrc3ZvezlNkeK+wmppF2yuHOnGMXclTZH5/9kWeIvv70y2fN92lGVSHo6rviMiwpNVTgM9VdT2AiDwDnK6qdwKnJp9DrJ61dwGvqmpVBw+508jFvdlXyOZeAVuwBGQF+8iLWpb3Z1UnD6/Lyeb+iMhquvHzZp/4hW6BQTS9GYL1xz6ohf1/CnwbOFNELu3IgXUDsro3ItJHRB4BDhWR6zt6cN2MdPfqRWCGiDxM55Sh6K6kvD/7+O9MPOl+f7r182afsTxygao+ADzQ1ePojqhqNdbcrCGCqjYAF3T1OLor5nemZbr782Zftzy2AkPilgdH1hnMvckGc69axtyflumR92dfF4+lwEgRGS4iLmAm8FIXj6m7YO5N5ph71TLm/rRMj7w/+4x4iMg8YBFwkIhsEZGLVDUIXAG8BqwGnlPV/3TlOLsCc28yx9yrljH3p2V60/0xhRENBoPBkDX7jOVhMBgMhtxhxMNgMBgMWWPEw2AwGAxZY8TDYDAYDFljxMNgMBgMWWPEw2AwGAxZY8TDYDAYDFljxMNgMBgMWWPEw2DoAETkdyLysYj8Pm5dvoi8HenfgIjUJx1zvoj8oYVzukTkHRExBU0NXY75JTQYcoyIHAB8U1XHJ226EHhRVdvUGEpV/SKyAKur3NPtHKbB0C6M5WEw5BAROQh4C9hfRD4SkcK4zbOAf2R4nktFZEXk50sRWRjZ9PfIeQyGLsXUtjIYcoyI/AbYoKqPx61zAZtUdUDcuhDwadyhFcBLqnpF3D5O4E3gHlV9OTLl9bWq9u3o72EwtISZtjIYcs9YmlsYlcCepHUeVZ0QXRCR84HJSfvMAd5U1ZcBVDUkIn4RKVbVulwO2mDIBiMeBkPu+QawMmmdB3Bnc5KImOyPVa47njzA29bBGQy5wIiHwZBDRKQYCKiqJ369qtaIiF1E3Kra6oNfRCYBvwCOUtVw3Po+wC5VDeR67AZDNhiHucGQWw6hudUR5XXgyAzPcwWWD2RhxGke9Z8cC8xv3xANhvZjHOYGQychIhOBq1T1vHac40XgOlVdm7uRGQzZYywPg6GTUNUqLEvC3pbjIxFbfzfCYegOGMvDYDAYDFljLA+DwWAwZI0RD4PBYDBkjREPg8FgMGSNEQ+DwWAwZI0RD4PBYDBkjREPg8FgMGSNEQ+DwWAwZM3/By+50Ei/GOiVAAAAAElFTkSuQmCC", + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" ] @@ -252,7 +272,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-10-27T18:22:17.252054Z", @@ -281,7 +301,7 @@ } ], "source": [ - "from tweezepy import AV # Load in AV class\n", + "from tweezepy.smmcalibration import AV # Load in AV class\n", "av = AV(trace,fsample) # Estimate AV values\n", "for key, value in av.data.items():\n", " print(key, ' : ', value)" @@ -297,7 +317,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -307,7 +327,7 @@ "chi2 : 14.346818631382492\n", "redchi2 : 1.1036014331832686\n", "g : 1.0041155314204818e-05\n", - "g_error : 6.688028898070111e-08\n", + "g_error : 6.68802889807011e-08\n", "k : 0.0006360035178028457\n", "k_error : 7.325143945228793e-06\n", "support : 0.999911671324171\n", @@ -332,12 +352,12 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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VzeAk10yzzdbXTMeNG0fbtm25cOEC3bp1Y+nSpRQuXNgm21b2ISK8+eab145O3377bQYOHEhaWprVpSlXdquEdYVHdo9MU1NTzQsvvHDt6OaNN97QFnsn9Ouvvxofnyud+x955BFz6dIlq0tSTg53OTK1hQsXLtCpUyc+//xzvL29mTRpEu+++6622DuhRx55hMWLF5M/f35mzZpFy5YtdY4pZReWNUDZi4i0A9qVK1eu/759N0+tcDfHjh2jbdu2bN68mcDAQGbOnEnTpk1tXqfKWTt37qRVq1bExsZy33330fm1cfx3W8JN67l9x3N1V7drgHK5Qy2Tja5RW7duJSwsjM2bN1O2bFnWrl2rQeoi7rvvPtasWUPlypXZuXMnE4f9ixEtClwb+Uhv/1XZ5XJhei82Horn6Q++oWGjxsTGxtKoUSPWrVtHxYoVrS5N2VDJkiVZvXo1DRs25MiRI/Tu1JpLR67MI3R1TE6l7pXbh+nGQ/G0Gfg6419/iksXL9CqQ5dr89gr11OgQAGWLFlC+/btuZRwjpPT3+DSvvU2GZNTuTeXC9OsdI3qOmEtncevISnuOJh0Ahp2Z1fFJ3jiv5tzoFJlFV9fX5oM+oB8NR7CpF7m1K/DOb15CZ3Hr9FxUdU9c7kGqKsyewfUxkPxPP71GhIObMW/XC2bDHSrnIMxhjfffJP33nsPEWHChAn079/f6rKUg7tdA5SjDcGX4+qEBDK1f0PWHayow+a5GRHh3XffJW/evLz66qsMGDCA5ORknn32WatLU07I7cMUrgSqhqj7GjZsGD4+PgwZMoTBgweTlJTESy+9ZHVZysm43DVTpe7FCy+8wPjx4wF4+eWXee+99yyuSDkblwtTe49nqlzXwIEDmThxIh4eHvzf//0fr7/+ug5JpzLN5cI0O532lerduzdTpkzB09OT999/n6FDh2qgqkxxuTBVKru6devGjBkz8Pb2ZuTIkTzzzDOkp6dbXZZycBqmSt1Cx44dmTVrFrlz52b8+PH069dPh/BTd6RhqtRttGnThnnz5uHr68vEiRPp1asXqampVpelHJSGqVJ30KJFCxYuXEi+fPmYOnUqXbt25fLly1aXpRyQy4WptuYrW2vSpAmLFy8mICCAmTNn0qlTJ50rSd3E7W8nVSqzNm3aREREBGfOnLk2++mEP2IZtfTmcXN1XFTX5TbjmSplL7Vr12b58uUUKVKExYsX07p1a/rVL84vgxrquKhKw1SprKhWrRorVqwgKCiIlStX0rJlS5ZtiyY94wRPx0V1XxqmSmVRpUqVWLlyJaVKlWLdunV891pfTNJ5AB0X1Y1pmCp1D8qWLcvKlSspW7Ysu3dsJf6nNyjilahDOLoxDVOl7lFISAg93p2IV4FgEv4+yObxQ+jw8VxKD5uvg0y7IQ1TpbLh7e5NiN0VRbVq1Ug9E0veJcNZ81wtbYByQy4XptrPVOW0okWLsmzZMmrUqMHevXtp2rQpR48etboslcNcLkx11ChlhUKFCrF06VJq1qzJvn37aNasmQaqm3G5MFXKKgULFmTJkiXUqlWLffv20bRpU2JjY60uS+UQDVOlbOj6QN2/f78GqhvRMFXKxgoUKMCSJUuoXbs2Bw4coGnTphw5csTqspSdaZgqZQcFChRg8eLFGqhuRMNUKTu5eoRap04dDh48SNOmTTl8+LDVZSk70TBVyo4CAwNZvHgxdevW1UB1cRqmStnZ9YEaHR1N06ZNOXTokNVlKRvTMFUqB+TPn5/Fixdz//33a6C6KA1TpXJI/vz5WbRoEfXq1SMmJoamTZsSExNjdVnKRlwuTPV2UuXINFBdl8uFqd5OqhxdQEAAixYtIiwsjEOHDvHggw8SHR1tdVkqm1wuTJVyBgEBASxcuJD69etz+PBhmjZtysGDB60uS2WDl9UFKOWurgbqQw89xLp166hQsz5FH/8A7/zFrq2jE/M5Dz0yVcpC/v7+LFy4kAYNGpCWcIoz01+jYHo8vwxqSMyHD2uQOhENU6Us5u/vz++//071OvVIOnuSrV8O4dGPf2XjoXirS1NZoGGqlAPw9/en19sTyF2iMmkJpzk8eRjzVm+2uiyVBRqmSjmIplVDKPbY21cC9fwpvnzlCe025UQ0TJVyEHVCAqkSUpSa/T+iWq26HD8aS7NmzfROKSdxT2EqInlFxNPWxSjl7vx8vAkpVohVkUuudexv1qyZDo7iBDIVpiLiISKPi8h8ETkJ7Ab+FpFdIjJCRMrZt0ylXNvIxXspPWw+66PPsD76DDU+WM3fDV6kZIWqREdH06xZMx2x38GJMebuK4msAJYAs4Edxpj0jOUFgGbA48CvxpjJdqw1S+rWrWuioqKsLkOpbImPjyciIoKNGzdSrlw5li9fTokSJawuy62JyEZjTN2blmcyTL2NMSnZXScnaZgqV3HmzBlatGjB5s2bKV++PMuXLycoKMjqstzW7cI0U6f5mQlJRwpSpVzJ1SlQatSowb59+wgPD+fvv/+2uix1g7uGqYhEiMjXIlIz4/UAu1d1cw2PZNQwXURa5vT3K2W1q7OeVq9enT179hAeHs6JEyesLktdJzNHpn2Bl4F/iUg4UNMWXywi34nISRHZccPyViKyR0T2i8gwAGPMLGNMf2Ag0NUW36+UsylUqBBLliyhatWq7N69m/DwcE6ePGl1WSpDZsI0wRhz1hjzEtASuN9G3z0JaHX9gozuVmOB1kAVoLuIVLlulTcy3lfKLRUuXJilS5dy3333sWvXLsLDwzl16pTVZSkyF6bzrz4xxgwDvrfFFxtjVgJnblhcD9hvjDlojLkM/Ah0kCs+AhYYYzbZ4vuVclZFihRh6dKlVK5cmZ07d9K8eXNOnz5tdVlu765haoyZfcPrL+xXDiWA6ycXj81YNhhoAXQRkYG3+7CIDBCRKBGJ0t/WypUVLVqUZcuWUalSJbZv307z5s2Ji4uzuiy3lqU7oESkroj8KiKbRGSbiGwXkW32Ku4qY8xoY0wdY8xAY8yXd1jvK2NMXWNM3cKFC9u7LKUsVaxYMZYtW0aFChXYtm0bLVq04MyZG0/2VE7J6u2kU4CJQGegHdA2409bOQqUvO51cMYypdQtFC9enMjISMqXL8+WLVuIiIggPl6H7rNCVsP0lDFmjjEm2hhz6OrDhvVsAMqLSKiI5AK6AXOysgGdUE+5m6CgICIjIylbtiybNm2iZcuWnD171uqy3E5Ww/QtEflGRLqLSKerj3v5YhGZBqwFKopIrIg8aYxJBZ4FFgJ/AT8ZY3ZmZbs6oZ5yRyVKlCAyMpIyZcoQFRVFy5Yt0QOKnJWp20mvrSwyGagE7ATSMxYbY0xfO9SWLXo7qXJHVyfni46OJiwsjEWLFuHv7291WS7ldreTZnVCvfuNMRVtVJNdiEg7oF25cjqQlXI/pUqVIjIykqZNm7J+/Xpat27N77//jp+fn9WlubysnuavuaETvcPR03zl7kJCQoiMjKRUqVKsWbOGNm3acOHCBavLcnlZDdP6wJaM2z1zrGuUUiprSpcuzbJlywgODmb16tW0bduWixcvWl2WS8vqaX6ru6+ilLLSyMV7GbV0HwDprf8Pz2mvsmLFCmo1bsHWNcvw9fW1uELXlNUj0+NAI6AH8MR1D4ehXaOUuxsSUYGYDx8mLLQAjetUY2fUGooWLcq+Let45JFHSEpKsrpEl5TVMJ0NdABSgYvXPRyGXjNV6oqEpBSOnk3kgk8Rli1bRuHChVm0aBGdOnUiOTnZ6vJcTlbDNNgY09UY87Ex5tOrD7tUppS6ZxsPxbP7eAKx8Yn0+GYdiXmLs2zZMgoVKsSCBQvo0qULly9ftrpMl3IvrfnV7FKJUspm1h2MIz2jC3lKajrrDsZRtWpVlixZQoECBZg3bx5du3YlJUUnyLCVrIZpY2CjI7fm6zVTpaB+mYJ4yJXn3l4e1C9TEIAaNWqwePFi8ufPz6xZs+jevbsGqo1k9Q6okFstt/H9+Tahd0Apd9dm1ErOJ6Uyqlst6oQE/uO9qKgoWrRowblz5+jatSuTJ0/GyyurnXvcU7bugBIRMVfcNjSvrpOdIpVStuPn442fj/dNQQpQt25dFi5cSEREBNOnT8fT05Pvv/8eT09PCyp1DZk9zY8UkcEiUur6hSKSS0TCReS/OFgXKaXUnYWFhfH777+TL18+pk6dSt++fUlLS7O6LKeVqdN8EfHhysR6PYBQ4CzgA3gCi4BxxpjN9isz6/Q0X7mr6zvtX+/55uUZElHhpuWrVq2iVatWXLp0ib59+/L111/j4ZHV5hT3cbvT/CxdM83YkDdQCEg0xpy1TXm2c91AJ/337bv5H5RS6mbLly+nTZs2JCYmMmDAAMaPH6+Behu3C9Ms/20ZY1KMMX87YpCCdtpX6l40bdqUuXPn4uPjw1dffcXgwYPRJpCs0V89SikAmjdvzuzZs8mdOzfjxo3jhRde0EDNgmyFacbUIkopF9GyZUtmzpxJrly5GD16NEOHDtVAzaTsHpn+IiLtbVKJUsohtGnThp9//hlvb29GjhzJsGHDNFAzIbth+ghQSkSmiMjNzYRKKafUrl07pk+fjpeXFx9//DFvvPGGBupdZCtMjTFpxpgxXJkEr7+IDLdNWfdObydVyjY6duzIjz/+iKenJ++//z7vvPOO1SU5tOxeM20nIsOAz7ky332wLYrKDm3NV8p2OnfuzOTJk/Hw8OA///kP77//vtUlOazs3owbACwAPjXG6GgJSrmQ/3X+9yOwzRDi5n3G66+/ztros8z9+mOry3M4We60f9sNieQGqhtjNthkg9mkd0ApZRtdJ6wFoFWu3fTte2VW988++4whQ4ZYWZZl7rnTvohEiMjXIlIz4/WA6957UUQmisivwDZ0jiilXFafPn346quvAHjxxRcZM2aMxRU5lsxcM+0LvAz8S0TCgZrXvVcPWGKM6QgsM8a8a/sSlVKOon///owdOxaAwYMHM2HCBIsrchyZCdMEY8xZY8xLQEvg/qtvGGO6AQki8gNQ1E41KqUsdHUuqY2H4gF4+umn+fzzzwEYOHAg3333nYXVOY7MhOn8655fBr6//k1jzBygH7BJRL62YW1KKYvdOJfU1UB9/vnnGTFiBAD9+vXj+++/v9Nm3MJdw9QYM/u6l68DwRnXUAeJSGDGOsnGmPcAyzuiaT9TpWznVnNJXfXSSy/x/vvvY4yhT58+TJ061aIqHcO99DNNAhZypV/pGhGpcfUNY8wRWxV2r7SfqVK2c7u5pK569dVXefvtt0lPT6dnz57MmDHDgiodQ1b7me42xryV8fxnEZkEfAmE27QqpZRDqBMSSKVifredSwrgzTffJCUlhffee4/u3bvj5eVFx44dLajWWlk9Mj0tInWuvjDG7AUK27YkpZQj8fPxpkR+31sG6VXvvPMOr7zyCmlpaXTt2pV58+blYIWOIath+hwwWUQmi8grIjIFiLZDXUopJyIifPDBBwwZMoSUlBQ6d+7M77//bnVZOSpLYWqM2cqVfqbTMhZFAt1tXJNSygmJCJ9++imDBw/m8uXLPPLIIyxevNjqsnLMvUxbkmyMmW+M+cgY840x5qI9ClNKOR8RYdSoUQwcOJDk5GTat29PZGSk1WXlCJ22RCllUyLC2LFj6devH0lJSbRt25ZVq1ZZXZbd2WygE0ejA50olT1ZnTL6Runp6fTt25f//ve/5MuXj4ULF9KwYUN7lJqjbDbVs7PQMFXKemlpafTq1YupU6fi5+fHkiVLqFevntVlZYvNpnp2dHoHlFKOw9PTk1o9XydPpSYkJCRQ/4FwivceRelh8xm5eK/V5dmUHpkqpewuJSWF0LCWHN28nMDAQCIjI6lRo8bdP+iA3ObIVCnleLy9van/5NsEVW9MfHw8LVq0YMeOHVaXZVMapkqpHOHp5U2D/u/RunVrTp8+TfPmzfnrr7+sLstmNEyVUjnG0zsXM2fOJCIigpMnTxIeHs7eva5x7VTDVCmVo3x8fJg1axZNmzbl+PHjhIeHc+DAAavLyjYNU6VUjrh+xP48efIwd+5cGjduzNGjRwkPDycmJsbqErMlu1M9K6XUXV0dsT/dQI9v1jGlX33qhATy22+/8dBDD7F27VrCw8NZsWIFJUuWvOU2snsTgb1pmCql7O5WI/bXCQnEz8+PBQsWEBERwYYNG64FalBQ0E3bGBJRgSERFa5NPT39qQY5uQt3paf5Sim7u9OI/QEBASxcuJBatWqxf/9+wsPDOX78uEWV3jsNU6WU3V0dsT840PfaKf71AgMDWbx4MdWrV2fPnj00b96cU6dOWVTtvdEwVUrliLuN2F+wYEGWLFlClSpV2LVrFy1atCAuLu6W6zoiDVOllMMoXLgwS5cupWLFimzbto2IiAji4+OtLitTNEyVUg6lWLFiLFu2jHLlyrF582YeeughnGHgIg1TpZTDCQoKYtmyZYSGhrJhwwZat25NQkKC1WXdkVOEqYiUEZFvReRnq2tRSuWMkiVLsmzZMkqVKsXatWtp06YNFy867ixJloWpiHwnIidFZMcNy1uJyB4R2S8iwwCMMQeNMU9aU6lSyiqlS5cmMjKSEiVKsHr1atq2bcvZ8wnX7qRyJFYemU4CWl2/QEQ8gbFAa6AK0F1EquR8aUopR1GmTBkiIyMpXrw4y5cvZ+W4Vzhy6hw9vlnnUIFq2R1QxpiVIlL6hsX1gP3GmIMAIvIj0AHYlcPlKaUcSPny5Vm2bBn1GjYmIWYLJ38dTvFOb1y7kyor7HVbqqNdMy0BHLnudSxQQkQKisiXQC0RefV2HxaRASISJSJRztbhVyl1Z5UqVeKb6XPw8PUn6eBGTs7+kDrBflnezpCICsR8+DBhoQUICy1AzIcPE/Phw9m+v9/RwvSWjDFxxpiBxpiyxpgP7rDeV8aYusaYuoULF87JEpVStzFy8V5KD5vP+ugzrI8+Q+lh8+95DqjHIhrS4NmReOXx4+K+9YwY9jQpKSl2qDrrHG2gk6PA9UPGBGcsU0o5qasDlNhKibKVafbCaDaMG8LMmTPp2bMnkydPxsvL2jhztCPTDUB5EQkVkVxAN2BOVjags5Mq5foCS1Vk4cKF+Pn5MX36dPr06UNaWpqlNVnZNWoasBaoKCKxIvKkMSYVeBZYCPwF/GSM2ZmV7Rpj5hpjBgQEBNi+aKWUw6hXrx6///47efPmZfLkyfTv35/09HTL6rGyNb/7bZb/BvyWw+UopZxQw4YN+e2332jVqhUTJ07E29ubL7/8EhHJ8Voc7TQ/2/Q0Xyn38sADDzBv3jx8fHz46quveO655zDG5HgdLhemepqvlPsJDw9n9uzZ5MqVizFjxjB06NAcD1SXC1OllHtq2bIlM2fOxNvbm5EjRzJs2LAcDVSXC1M9zVfKfT388MPMmDEDLy8vPv74Y956660c+26XC1M9zVfKvXXo0IFp06bh6enJu+++y7vvvpsj3+tyYaqUUl26dOGHH37Aw8ODN998k48++sju36lhqpRySd27d2fixImICMOGDWPkyJH/eD8hKcWmQ/lpmCqlXFavXr34+uuvAXjxxRcZM2YMABsPxbP7eAKx8Yk2G8rP0e7NzzYRaQe0K1eunNWlKKUcwJNPPklKSgqDBg1i8ODBeHt7k1qhOekZDf0pqen3NJTfjVzuyFQboJRSNxo4cCCjRo269vxE1AI8Mm6S8vbyoH6Zgtn+DpcLU6WUupXnnnuOTz75BID3Xnkev9i1BAf6MqVf/WwflYKGqVLKjQwdOpT3338fYwzbp3xA2v4/bBKk4IJhqp32lVJ38uqrr/L2229jTDrrv3ubtWvX2mS7YsWAADmhbt26JioqyuoylFI2Ysu5m4wx3PdwHy6dOc7+1fOyNLC0iGw0xtS9cbnLteYrpVyTLUfsFxGqth8AxthshH4NU6WUWxIRsOG4py53zVQppaygYaqUUjbgcmGqrflKKSu4XJjqHVBKKSu4XJgqpZQVNEyVUsoGNEyVUsoGNEyVUsoGNEyVUsoGNEyVUsoGXC5MtZ+pUsoKLhem2s9UKWUFlwtTpZSygoapUkrZgIapUkrZgIapUkrZgIapUkrZgIapUkrZgIapUkrZgIapUkrZgIapUkrZgMuFqd5OqpSygsuFqd5OqpSygsuFqVJKWUHDVCmlbEDDVCmlbEDDVCmlbEDDVCmlbEDDVCmlbMDL6gKUUionjVy8l1FL9117XXrYfACeb16eIREV7nm7YozJdnGOqG7duiYqKsrqMpRSLkZENhpj6t64XE/zlVLKBjRMlVLKBjRMlVLKBjRMlVLKBjRMlVLKBjRMlVLKBjRMlVLKBjRMlVLKBlz2DqiYmBjq1r2pX61SSmVX7VstdNkwLV26NHoHlLoTYwy/7zjOyn2nKJwvN0UDfCge4EMxf1+KB/iQP483ImJ1mcrBiMimWy132TBV6k52HjvHO3N3sT76DH65vbh4OZX0G+6szu3lQbEAH4r5+1z5M8CH4v4+FAvwvfI8wIdC+XLj6aGBqzRMlZs5lZDMp4v2MD3qCIF5cvHeI1Xpdn/JK+9dSOb4uSSOn0vi73NJnDh/5c/j55LYdDieE+eSuZyW/o/teXoIRfxyUyzAh0rF/Hjj4Srkza3/rdyR/tSVW0hOTWPSHzF8sWw/SSlpPNkolMHNyxPg631tneIBvhQP8L3tNowxnLl4+VrAHj//v+A9fj6R6RuOcC4xhbGP19bLA25Iw1S5NGMMi3ad4P3f/uJQ3CWaVyrC6w9XpkzhfFnelohQMF9uCubLTdUSN89+O2HFAT5YsJsvVxxkUNOytihfORENU+Wydh8/zztzd7HmQBzli+Tj+771eKBCYbt934AHyrDt6DlGLNzNfUH+dv0u5Xg0TJXLibuQzGeL9zLtz8P4+3rzTof7eLxeKbw87dutWkQY0aU6B05eYPC0zcx9tjGlCuax63cqx6Gd9pXLuJyazjerDtL0k+X8uOEIvRqUZvlLTenVoLTdg/SqPLm8mNCzDsYYBvwQxaXLqTnyvcp6ThOmIvKdiJwUkR1W16IcizGGpX+doNXnK3lv/l/ULhXIwhea8J/295E/T64cryekYF5Gda/FnhMJDPtlO646m4X6J6cJU2AS0MrqIpRj2XcigV7f/cmT/40CgYm97+e/fetRroifpXU1q1iEl1pWZM7WY3y7OtrSWlTOcJprpsaYlSJS2uo6lGM4dymFzxbvYfL6w+TN5cmbbavQs0EI3jl0Op8ZTzcty/bYc3ywYDdVivvTsFwhq0tSduQ4//KUyqQT55PoNP4Pflh3iMfrlWL5y83o2zjUoYIUrjRIffJYDUIL5eXZaZuJjb9kdUnKjhzrX182icgAEYkSkahTp05ZXY6yg6NnE3lswlqOn0tiWv/6vPtIVQrkzfnropmVL7cXX/WsQ0pqOgMnbyQpJc3qkpSduFSYGmO+MsbUNcbULVxY+/i5miNnLtF1wlrOXLzMD/3CCCtT0OqSMqVM4XyM7FqTHUfP89qv2iDlqlwqTJXrij59kccmrOVCcipT+9WndqlAq0vKkhZVivJCi/LM3HSU79cesrocZQdOE6YiMg1YC1QUkVgRedLqmlTO2HcigccmrOVyajpT+9WnWvDNt3I6g+fCy9OichHenbeL9QfjrC5H2ZjThKkxprsxprgxxtsYE2yM+dZW205LN9o44KD++vs83b5aB8CPA+pTJcjf4orunYeH8FnXmpQqkIdnpm7i73OJVpekbMhpwtSelv51ggc+juTpKRvZeOiMXtNyEDuOnqP71+vw9vRg+oD6lC9qbd9RW/D38earXnVIvJzGwMmbtEHKhWiYAtWD89P/gTKs3neazuPX8si4NczecpSUG8auVDln8+F4un+9jry5vPjpqQb3NMqToypXxI9PH6vB1iNneWv2Tv3l7SLEVX+QdevWNVmdtuRiciq/bIpl4h8xRJ++SPEAH3o1KM3j9UoRkMf77htQNrEh5gx9Jm6gYL5cTOkXRnCgaw4W8snCPYyJ3M/wjlXpERZidTkqk0RkozHmpgnmNExvIT3dELnnJN+ujmbNgTh8vT3pUieYPo1Ku9QRkiNac+A0T06Konh+H6b2q0+xAB+rS7KbtHTDk//dwB/7T/PjgPrUCSlgdUkqEzRM79GuY+f57o9o5mw5xuW0dMIrFeHJxqE0LFtQR1O3sRV7TzHg+yhCCuZhcr8wivi5bpBede5SCu3HrubS5TTmDW5MUX/X32dnp2GaTacSkpm87hCT1x0i7uJlKhXzo2/jUNrXCMLH29Nm3+Oulv51gkGTN1GuSD4m9wtz6LuabG338fN0HLuGysX9+HFAA3J5aVOGI7MkTEWkMdDdGPOMDbbVChgFeALfGGM+vNP6tg7Tq5JS0piz5Rjf/RHN7uMJFMqXix5hIfyrfgiF/XLb/Pvcwe87/mbwtM1ULu7P933rWTJsntXmbTvGs1M30yOsFMM7VrO6HJdjjOHE+WSiT1/MeFwg+vQl/H29+Oyxmlna1u3C1OajRolILeBx4DHgOFAJyFaYiognMBaIAGKBDSIyxxizK5vlZpmPtyeP3V+SR+sGs+ZAHN+ujmbU0n2MX36ADjWD6Ns4lMrFnbcvZE6bs/UYQ6ZvoUZwAJP61sPfxz0b+tpWD2L70XNMWHGQ6sEBdL2/lNUlOaX4i5c5mBGYMRl/Hjx9kUNxF7l0+X/d0HJ5eRBaMC+1Q/Lb7LttEqYiUgHozpUQTQBmAE2NMdEiYovBHOsB+40xBzO+70egA5DjYXqViNCoXCEalSvEwVMXmPhHDD9vjGXGxlj6NQ7lldaVHG4UI0fzy8ZYXv55K3VLF+C73veTz82nSP73Q5XYdew8/zdrJ1WKBzjtnV72lpyaxr4TF64dZcZkBGb06YucS0y5tp6nh1Ay0JfQQnlpUKYgoYXyEFooH6GF81Lc3wcPD9u2edjkNF9E0oENQD9jzPYb3jtojCmTze13AVoZY/plvO4JhBljnr3dZ/z8/EydOnWy87VZlubpw9mSjUgoVpvc52MpvG8uXikXcrQGZ5FQpDpxoS3xOXeIInt/xSNdp/cASPPy4Vi1JxCTRtD27/FIu2x1SQ4lOW8xTlZoT1ru//2i8Uw+j3dSPN5J8Xglnvnf8+RziLF9X/EVK1bY9TS/E9ANWCQiS4CfgN+NMSl3/phticgAYABA7tw5f/3SMy2JgjFLyZ1wlLgyD3GsWi8K75+H7/nDOV6LIztftBZnQlvgG3+Qwntn4WH0LqCrPFOTKLx/HserdCOudASFDsxH+4yAARKK1uRMSDieKRcotG8uuRLj8EqKd5hfxDZtgBKRvFw5/e7OlVPz34B2xphsDTEuIg2A/xhjHsp4/SqAMeaD233GXg1QmbX/ZAIDJ2/i4KkLDG1ZkUEPlrX5aYWz2XsigWl/HmbiHzFEVCnKmMdrkdtLe0Lcyuil+/hs8V4+ebQGXeoEW12OpS5dTuW1mduZteUYTSsW5vOuNS1tpMzx1nwRCQQeBboZY8KzuS0vYC/QHDjKlUsKjxtjdt7uM1aHKVy5o+rVmduZs/UY4ZWK8NljNdyupfpw3CXmbjvGnC3H2HMiAQ+BzrWDeb9TNb2mfAdp6YYe36xj65FzzHuuMWXd9GaRA6cuMGjyRvadvMCLLSrwTLNylh+UOH0/UxFpA3zOla5R3xljht9pfUcIU7jSJWPyukO8M28XRfx8GP+v2lQPzm91WXZ14nwSc7ceY+62v9l65CwAdUMCaVcjiDbVimsXskw6fi6J1qNWUizAl1+fbuh2/Znnb/ubf/+8ldzenozuVovG5R1jDi2nD9OscpQwvWrLkbM8M2UTpxKSebNdFXqElXKpO6jOXLzMgh1/M3frMdZHn8EYuC/In/Y1gmhbI4gS+X2tLtEpLdt9gr6ToniiQQhvd6hqdTk5IiUtnQ9+2813f0RTu1R+xvaoTfEAx/n3k2P9TNWt1SyZn3mDG/PC9C28MWsHUTFneL9TNfLkct4fQUJSCot3nWDO1mOs3nea1HRDmcJ5eb55edrVCHLbU1NbCq9UlCcbh/Lt6mgalStEy/uKWV2SXR0/l8QzUzex8VA8vRuW5rU2lZ3mjjA9Ms1h6emGMZH7GblkL+WL5GP8v+o4VegkpaSxbPdJ5m49xrLdJ0lOTadEfl/a1QiiXY3iVCnu71JH3I4gOTWNzuPXcORMIgueb0KQix7l/7H/NM9N20xiShofda5OuxpBVpd0S3qa72BW7zvNcz9uJjkljY+6VKdtdcf8h3PV+oNx/LjhCIt2Hufi5TQK5ctN2+rFaVcjiNql8muA2ln06Yu0Hb2KKkH+TOtfHy8XarxLTzeMX3GATxftoUzhfHz5r9qUK+K4A4FrmDqgv88l8syUTWw6fNZhT2nOXrrMe/P/4ueNsQT4etO6ajHa1QiifpmCeLp5V6+cNmvzUV6YvoXnwsvxYsuKVpdjE+cupTDkpy0s232S9jWC+KBTNfI6+J1wes3UARUP8GX6Uw2uXWzfGnuWsY/XdpjTuAXb/+b/Zu8k/tJlnmlWlsHh5d2uRdmRPFKrBKv3n+aLyP3UL1uQhmUdo3X7Xm2PPcegKRs5cT6JdzrcR8/6IU59hqNHpg7i+m4gn3etyQMVCltWy8nzSfzf7B0s3HmCqiX8+ahzde4L0vvEHcHF5FTajVnNxeRUfnuuCQXzOV83M2MMP244wltzdlIoby7G9qhNLSeauvt2R6aOdU7pxh6uXpw5gxtTOF9unpj4J58v2Utaes7+ojPG8NOGI7T4bAXL95xiWOtKzHq6kQapA8mb24svutci/mIKL83Y6nTzRyVeTuOlGdt4deZ2wkILMO+5Jk4VpHfi8GEqIo+KyE4RSReRm34buJKyhfPx6zMN6VizBJ8v2ccDH0cyNnI/py8k2/27D8ddoue3f/LvX7ZRqbg/C55vwsAHy7pUQ4eruC8ogNcfrkzknlN8u9oWg7LljOjTF+k47g9mbo7l+eblmdSnnksNAu7wp/kiUhlIByYALxljMnXu7myn+dczxrB41wkmrYlhzYE4cnl60KZaMXo2CKF2qUCbXldKSzdM/COaTxftxdNDGNa6Eo/XK2X5LXvqzowxDPhhI8v3nGTmoEYOPVzfsbOJTFhxgGkbjpAn15XLWE0rFrG6rHvm9K35IrIcNwnT6+0/mcDkdYf5ZWMsCcmpVCnuT88GIXSoGZTtDv97jifwyi/b2HLkLOGVijC8Y1WHutNE3dnZS5dpM2oV3l4ezBvcGD8HG1j7yJlLjF9xgBlRRzDmypgMz7co7zANrPdKw9TJXUxOZdaWo/yw9hC7jyfg5+NFlzrB/Kt+SJY7/V9OTWfc8v2MjdyPn483b7WrQvsaQU7dkuqu/ow+Q7ev1tKuRhCfd63pED/DQ3EXGRu5n5mbjuIhwqN1gxnUtKzLTNnt0GGaMQbqre6Te90YMztjneXcJUyvH8+0VKlSdQ4dOmSHaq1ljGHjoXi+X3uIBTv+JiXN0KhcQXrWD6FF5aJ3vca55chZXvl5G3tOJNChZhBvtq3ilC3C6n+uDtc3okt1Hq1b0rI6Dpy6wNhl+5m99RheHkL3eqV46sEyLne249BhmhnufmR6K6cSkvkp6ghT1h3i2Lkkivn78HhYKbrdX5IiN0wZfOlyKp8t2st3f0RTxM+H4R2r0rxyUYsqV7Zk9XB9e08kMGbZfuZuO0ZuLw/+FRbCgAfK3PRv0FVomLqw1LR0lu0+yQ/rDrFq32m8PIRWVYvRs34I9UILsPZAHMNmbufwmUv0CCvFsNaVHO76msqeE+eTaD1qFUX9fXJsuL5dx84zJnIfv20/Tp5cnvRsEEL/JmUo5OJnOk4bpiLSEfgCKAycBbZcHXH/TtwpTK938NQFpqw/zIyoI5xPSiU40JfY+ERCC+Xlg07VqF+moNUlKjvJqeH6tseeY/SyfSzedQK/3F480bA0fRuHulQ3pztx2jC9V+4aplclXk5jztajzN5yjJol8/Ncc70V1B28O28X366OZkLPOjxk4+H6Nh2O54ul+4jccwp/Hy/6Ng6lT8NQAvK411mOhqlSbiA5NY0u49dy+Mylex6uLyUtnQtJqVxITuV8Ugonzicx8Y8YVu07Tf483vRvUoaeDULwd9NLRTrQiVJuILeXJ190r8XDo1fx3LTNDG5engtJqSQkpWSEY8bzpFQSMgIzISmFhOQrrxOSUkhKuXl65IJ5c/Fq60r8q36Iw4/qZBU9MlXKBc3ecpTnf9xyy/fy5fbCz8frf3/6eOPn44XfteXeGcu98Pfxws/Hm9qlAvHNpZeJQI9MlXIrHWqWoEJRPy5dTv1HOObL5aW3CtuJhqlSLqpycX+rS3ArLnuaLyKngNvdAhUAnMvEZu623u3ev3F5Vl5f/7wQcDoTdd6N1ft74zJH2d+7rZvZ/b3VMt3fm5+7yv6GGGNuHnDYGON2D+ArW6x3u/dvXJ6V1zc8j3KF/b3LPlq2v3dbN7P7m8Wfqe6vC+zvrR7uOljlXButd7v3b1yeldeZrS0rrN7fG5c5yv7ebd3M7u+tlun+3v377pUj7O9NXPY03xWISJS5Rauhq9L9dW2uvr/uemTqLL6yuoAcpvvr2lx6f/XIVCmlbECPTJVSygY0TJVSygY0TJVSygY0TJ2QiDwiIl+LyHQRaWl1PTlBRMqIyLci8rPVtdiLiOQVkf9m/Gx7WF2Pvbnaz1TDNIeJyHciclJEdtywvJWI7BGR/SIy7E7bMMbMMsb0BwYCXe1Zry3YaJ8PGmOetG+ltpfFfe8E/Jzxs22f48XaQFb211l/prejYZrzJgGtrl8gIp7AWKA1UAXoLiJVRKSaiMy74XH9hONvZHzO0U3CdvvsbCaRyX0HgoEjGaul5WCNtjSJzO+vS9GBTnKYMWaliJS+YXE9YL8x5iCAiPwIdDDGfAC0vXEbcmU+3w+BBcaYTXYuOdtssc/OKiv7DsRyJVC34KQHOlnc3105XJ5dOeUPzAWV4H9HJHDlP1WJO6w/GGgBdBGRgfYszI6ytM8iUlBEvgRqicir9i7Ozm637zOBziIyHvvchmmVW+6vi/1M9cjUGRljRgOjra4jJxlj4rhyjdhlGWMuAn2sriOnuNrPVI9MHcNRoOR1r4Mzlrkyd9znq9xt391ifzVMHcMGoLyIhIpILqAbMMfimuzNHff5Knfbd7fYXw3THCYi04C1QEURiRWRJ40xqcCzwELgL+AnY8xOK+u0JXfc56vcbd/dbX+vpwOdKKWUDeiRqVJK2YCGqVJK2YCGqVJK2YCGqVJK2YCGqVJK2YCGqVJK2YCGqVJK2YCGqVJK2YCGqXJ7IuIrIisyxt281fu5RGSliOjAQOq2NEyVgr7ATGPMLQdkNsZcBpbiBLMaKOtomCqXJSL+IrJZRHaKyCUR2SIi60Tkxn/3PYDZGZ/JKyLzRWSriOwQkasBOitjPaVuSe/NVy5PROoBrxtjOtzivVzAYWNMsYzXnYFWGfMwISIBxphzGZcAjhtjCudk7cp56JGpcgdVgduNUlQIOHvd6+1AhIh8JCJNjDHnADIuAVwWET+7VqqcloapcgdVgB23eS8R8Ln6whizF6jNlVB9T0TevG7d3ECSvYpUzk3DVLmDIOD4rd4wxsQDniLiAyAiQcAlY8xkYARXghURKQicNsak5EzJytlomCp3sBD4VkQevM37i4DGGc+rAX+KyBbgLeC9jOXNgPn2LFI5N22AUm5PRGoDQ4wxPe+wzkxgWMZlAKVuokemyu0ZYzYBkXfqtA/M0iBVd6JHpkopZQN6ZKqUUjagYaqUUjagYaqUUjagYaqUUjagYaqUUjagYaqUUjagYaqUUjbw/8AoJSru50rMAAAAAElFTkSuQmCC", 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" ] @@ -363,22 +383,22 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 10, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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", 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BHEtBUnny6c6a5e6PZ73+hrv/c+iVhUDdWSKlCTIE1MWVHCV1Z2UHSOZ1IgNERErX3DQj0C4uSb6C7lg3s4lm9piZrTOz181svZm9HlZxQVF3lkiwNFYiPfK6T+ToxmZv0T3Ivh7o6lnu7juCLy146s4SCZ66uCpfyfeJZNnj7k+4+3Z339HzJ4AaRSShgvziV8skeQptiUwF5gLP0z1/FgDu/vPgSwueWiIi4Tn7lhV05f91MiDd9R4f/bVEqgs81peBsUANx7qzHEhEiIhIeHq+8INqSWTf9a5urvgqeEzE3c8NsZ5QaBZfkfIKq0tKYRKNIMdEXjKz8QHUVFZ6nohIeTU3zaDKgj+uxkzip9CWyEbgE8B2usdEDHB3/2Q45QVLYyIi5Rfml75aJuVR8lTwWQcamWt5Uq7QUoiIRCPs1oPCJFxBhkgdMAdoIGtQ3t3/tsQay0IhIhIthUkyBXl11uNAG7CWrEt8RUTy0dw0I9QgyT62AqU8Cm2JbHD380OsJxS6OkskXso5OK4wKV2Q3VmLgH929/VBFVdO6s4SiReFSTIEeYnvZcBaM3srSRMwikg8lfOLXZcGh0NXZ4lILKhVEl8ld2eZmfkAG+azTdQUIiLxVu7WQl9hkm8daZnfK4gQeRF4FHjc3X+btbyW7i6uvwJecPclQRQcFoWISDJUQtdTJbV2ghgTmQ50Ag+Z2e/M7E0z2wZsoXtW33+Me4CISHJUwhdwWqZoKWhMBMDMaoBTgQ/cfX8YRYVFLRGR5KmUL+IkB2OQV2fh7u3u/vs4BIiZnW1mPzGzn0Vdi4iEI8lfvtkqJQx7KzhEwmZmi81st5lt6LV8eubS4q1m1gjg7tvc/YZoKhWRcmlumlERYVKJQVJSiGQG1oO2hO4xmOx/ZxBwN3AlMB6Ym8Qp6UWkNJUSJJUUJqW2RB41s6sDqSTD3VcC7/ZaPAnYmml5HAGWAbOC/HdFJBkqqVVSCWFSaojMBkaY2VIzGxNAPX0ZBuzMet0CDDOzoWZ2L3Cxmd2Sa0czW2Bma8xszZ49e0IsUUTKqRKCBJLfxVVSiLh7p7v/ELgJmG9mdwZTVt7/fqu73+jun3D3u/rYZhHwPWBdbW0YvW8iEpVKapUkValjIjMzg9z/CJwFDA+iqBx2ZY7fY3hmWV70eFyRyqYgiU6p3VknAU8DX3H3a9z9rwKoKZdXgHPMbFRmMP8a4Il8d86E3aK2traQyhORqFVKkCQtTErtznrA3V9z93YzqzOzS0otyMweAlYB55pZi5nd4O4ddHeZPQNsBB5x9zcKqFMtEZEUqIQgSZoBQ8TMppnZfWZ2Ueb1gqx1/83M/sXMHgNep9elucVw97nu/ifuXuPuw939J5nlT7n7mMz4R0FjL2qJiKRHJQRJkloj+bRErge+DVxnZp8FLspaNwl4zt3/EviVu/+v4EssnVoiIulSCQPuSQmSfELkgLvvd/e/Aa4AjnZZufs1wAEz+zfgjJBqFBEpStKDJAnyCZHsODwC/DR7pbs/AXwFWGdm9wVYW2DUnSWSXs1NM6ivGxR1GUVJQmuk0CcbdgLfB04B1gHL3H1f1vqz3H1nX/tHTbP4iggk48u5RxxaU4HO4gscovsqqbOAl8zswp4VcQ4QEZEeSRoziXvgFdoSecPdz8t6PQa4190/G0ZxQTGzmcDM0aNHz9+yZUvU5YhITMX9Czuq4AuyJbLXzCb0vHD3zcBppRRXDro6S0TyEfcWShxDrtAQ+SbwgJk9YGb/w8yWAttDqEtEJDJxDpO4BUkxj8etAz4HnA+0Ag+5+3sh1BYYdWeJSCni9sWdr6CCsL/urIJDJMl0dZaIFCvNQaIQyVCIiEgQkhYopQZJ0Jf4ioiIAAoREREpQSq6szSwLiJhi3sXVyldWqnvztJ9IiKSdmGFXHUoRxURSYm4t0DCloqWiIhIWOJ6U2K5KEREREoU5zvcs4XRalKIiIgEJAlBEjSFiIhIgJLSKglKKkJETzYUEQlHKq7OcvflwPKJEyfOj7oWEalsabtaKxUtERER6RZ0yClEREQClKbxEFCIiIgELk1BohAREQlBWoIkFQPrIiJRyA6SSh1wT3SImNnxwI+AI8CL7r404pJERFIldt1ZZrbYzHab2YZey6eb2VtmttXMGjOLvwD8zN3nA1eXvVgRkZSLXYgAS4Dp2QvMbBBwN3AlMB6Ya2bjgeHAzsxmnWWsUUREiGGIuPtK4N1eiycBW919m7sfAZYBs4AWuoMEYvheRETiKMjxmaSMiQzjWIsDusNjMrAQ+KGZzQCW59rRzBYACwBGjBgRcpkiIh9WqQPqPZISIjm5+3vAlwfYZpGZ/R6YWVtbO6E8lYmIpENSuoB2AWdlvR6eWZYXPR5XRKJS6bP6JiVEXgHOMbNRZlYLXAM8ke/OmsVXRKJWqUESuxAxs4eAVcC5ZtZiZje4ewdwE/AMsBF4xN3fyPeYaomISBxUYpDEbkzE3ef2sfwp4KlijmlmM4GZo0ePLqU0EZGSNTfNqKjB9ti1RMKgloiIxEkljZOkIkRERCQcqQgRDayLiIQjFSGi7iwRkXDEbmBdRETCE/RYTCpaIurOEhEJRypCRN1ZIiLdgr68OBUhIiIi4VCIiIhI0VIRIhoTEREJRypCRGMiIiLhSEWIiIhIOBQiIiJStFSEiMZERETCkYoQ0ZiIiEg4UhEiIiISDoWIiIgUTRMwioiUmZ5sKCIiRauUpxqCQkREJBJRBYmmgi+CLvEVEQknuFIRIrrEV0TiqBK6tVIRIiIiEg6FiIhIhJLeGlGIiIhI0RQiIiIRS3JrRCEiIhIDSQ2SRN+xbmZnA7cBJ7n7F6OuR0SkFNlBkpS72iNriZjZYjPbbWYbei2fbmZvmdlWM2vs7xjuvs3dbwi3UhER6UuULZElwA+Bn/YsMLNBwN3ANKAFeMXMngAGAXf12v96d99dnlJFRCSXyELE3VeaWUOvxZOAre6+DcDMlgGz3P0u4KoylygiIgOI28D6MGBn1uuWzLKczGyomd0LXGxmt/SxzQIzW2Nma/bs2RNstSIiKZfogXV3bwVuHGCbRcAigIkTJ3o56hIRSYu4tUR2AWdlvR6eWVYSTcAoIhIOc4/uP+eZMZEn3f38zOtqYDMwle7weAW41t3fCOjf2wPsGGCzk4BC0mag7ftan2v5QMt6r89+fSqwN49681HIOchn21LOQX+vw3r/fdVW7LaFvP9cy6M4B/oclOd3oK91cfgdyD72SHc/LecW7h7JH+Ah4PdAO91jHzdkln+e7iB5G7gtgroWBbl9X+tzLR9oWe/1vdatieIc5LNtKedggPccyvsP+hwU8v7jcg70OSjP70C+5yDOn4Mor86a28fyp4CnylxOtuUBb9/X+lzLB1rWe32htearkOPms20p56C/12G9/0KPHeTvQK7lUZwDfQ7K8zvQ17o4/A7kdexIu7MkOGa2xt0nRl1HVNL+/kHnAHQOonj/cRtYl+ItirqAiKX9/YPOAegclP39qyUiIiJFU0tERESKphAREZGiKURERKRoCpEKZ2azzew+M3vYzK6Iup4omNnZZvYTM/tZ1LWUi5kdb2b/mvnZz4u6niik8efeWzk+/wqRGAvomSu/cPf5dM8x9qUw6w2DnjtzTIHn4gvAzzI/+6vLXmxICjkHlfJz763AcxD6518hEm9LgOnZC7KeuXIlMB6Ya2bjzewCM3uy15/Ts3b9Tma/pFlCcOcg6ZaQ57mge965nhmxO8tYY9iWkP85qFRLKPwchPb5T/QsvpXOA3jmipkZ0AQ87e7rQi45cEGcg0pRyLmgeyqh4cCrVNB/Fgs8B2+WubyyKOQcmNlGQv78V8wvV4oU9MwV4BvA54Avmlm/0+YnSODPnUmwvs7Fz4E5ZnYP4U6LEQc5z0GF/9x76+v3IPTPv1oiFc7dFwILo64jSp7Hc2cqjbu/B3w56jqilMafe2/l+PyrJZI8oTxzJWF0Do7RudA5gAjPgUIkeV4BzjGzUWZWC1wDPBFxTeWmc3CMzoXOAUR4DhQiMWZmDwGrgHPNrMXMbnD3DuAm4BlgI/CIB/TQrjjSOThG50LnAOJ3DjQBo4iIFE0tERERKZpCREREiqYQERGRoilERESkaAoREREpmkJERESKphAREZGiKURERKRoChGRGDCzj5nZrzPPhci1vtbMVpqZJk2VWFGIiMTD9cDP3T3nA6Tc/QjwPAl8OqVUNoWISIjM7EQz+39m9oaZvW9mr5rZajPr/dmbBzye2ed4M1thZq+Z2QYz6wmOX2S2E4kNzZ0lUgZmNgm4zd1n5VhXC/zW3T+eeT0HmJ55NjZmdpK7t2W6uv7g7qeVs3aR/qglIlIe5wN9zap6KrA/6/V6YJqZ/b2Z/Zm7twFkurqOmFl9qJWKFEAhIlIe44ENfaz7ABjc88LdNwOfojtM7jCz27O2rQMOhVWkSKEUIiLlcSbwh1wr3H0fMMjMBgOY2ZnA++7+APAPdAcKZjYU2Ovu7eUpWWRgChGR8ngG+ImZ/UUf658FLsv8/QLgZTN7FfifwB2Z5ZcDK8IsUqRQGlgXiQEz+xTwLXf/L/1s83OgMdPdJRILaomIxIC7rwNe6O9mQ+AXChCJG7VERESkaGqJiIhI0RQiIiJSNIWIiIgUTSEiIiJFU4iIiEjRFCIiIlI0hYiIiBTt/wNNezeY5u0wWgAAAABJRU5ErkJggg==", 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" ] @@ -412,6 +432,150 @@ "fig,ax = av.plot(fig=fig, data_label = 'all')\n", "ax[0].legend(title='taus')" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Incorporating tracking errors " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Occasionally, tracking errors will show up in the data as high frequency gaussian noise." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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RsEQuUJs6bEpEJFmRC1QRkbAoUEVEAqJAFREJSOQCVZ1SEorda2D13JS94VQyQ+SGTbn7UmBpfn7+lLBrkeirfuKq0g1wwGhlrieuWqjItVBFmtOga+ewN+9mKjFaGVRi7M27WWHaQilQRZJUWJFLGdmUeyvKyKawIjfskiQkkbvkF2lOhQXT6bFrJZPKbiav1XbWV57OzRt+Q2HJq2qltkCaHEUkAOt37ddcEC1Ei5ocRTP2Sxg0F4RABO+h6tFTEQlL5AJVRCQsClQRkYAoUEVEAqJAFREJiAJVRCQgClQRkYAoUEVEAhK5QNX0fSISlsgFqgb2i0hYIvfoqUimqp5btd56za2aMTQ5ikiaeeWXI6msrKTrxTPpPeD8sMuROlrU5CgimWzb2uUMqnyd1pRT9txEtvGYQjWDRO4eqkgm27/lFVpTTrZV0ppy9m95JeySJAEKVJE00il32GGz/3fKHRZ2SZIABapImigsmE7vZePY5SextrIXu/wkei8bR2HB9LBLkzipU0pEJAFH65RSC1VEJCAKVBGRgGTEsCkzuwS4CDgOKHD3F8OtSESkvtBaqGb2BzN738w211k/yszeMrO3zWwmgLv/1d2nANcB48OoV0SkMWFe8i8CRtVeYWZZwP3AhUAuMNHMcmvtclvVdhGRtBNaoLr7KuDDOqsHAm+7e5G7HwIeB8ZazG+Bv7n7hoaOaWZTzWydma3bt29f6ooXETmCdOuU6gLsrrW8p2rdDcD5wGVmdl1DH3b3Be6e7+75J554YmorFRGpIyM6pdz9XuDesOsQETmadGuh7gW61VruWrUubppgWkTCkm6BuhY4zcx6mFkbYAKwJJEDaIJpEQlLmMOmHgMKgV5mtsfMrnX3cuDHwAvAVuBJd38zweOqhSoiodCz/CIiCdAE0yItiF6lEp7ItVDNbDQwumfPnlN27NgRdjkiodGrVFIj8NmmzKxd1VNNaUedUiJfvkrlPNaT89xEtq1dHnZJLUJcgWpmrczscjNbZmbvA9uAd81si5ndbWY9U1umiCRCr1IJR7wt1BXA14FZwFfdvZu7nwR8C3gN+K2Z/SBFNSZEvfwiepVKWOK6h2pmrd29LNl9mpN6+aWl0z3U1Ei6lz+eoEynMBUROLn15wAK02bU6CW/mY0ws4Vm1q9qeWrKqxKRJissmA6zO9Ln0Cb6HNoEszvC7I562V8ziKeFeg3w78BtZnY80C+lFSWp1rCpsEsRCUVsrGn98aaDmr+UFieeTqlP3P0jd58OjAQGpLimpGjYlIiEJZ5AXVb9jbvPBB5NXTkiIpmr0UB192frLN+XunJERDJXQs/ym1k+cCuQU/VZA9zd+6agNhGRjJLo5CiLgZuBTUBl8OUkT51SIhKWRJ/l3+fuS9x9p7vvqv5KSWVNpE4pEQlLoi3U283s98DLwBfVK939mUCrEpHQaRrAxCUaqJOA3kBrvrzkd0CBKhIx1eNZ3/zNtwDoc8s/Y+tDrCndJRqoA9y9V0oqEZG0tLW8C5sqTmHMrv3k5XQKu5y0lug91FfNLDcllYhI2lm/az9PHhhA+/KPuPv3j7J+1/6wS0pribZQzwE2mtlOYvdQ027YlHr5RYKz8/UVPNLmt7SmnDL+yrLXu5GXc2nYZaWtRAN1VEqqCJC7LwWW5ufnTwm7FpFMNyhrS81E1Xg5g7K2AArUhiQaqO8B44DudT77q6AKEpH00aXfSMrXz6XCjVbZbejSb2TYJaW1RAP1WaAUWE+tYVMiElHdBvJOdnfa+WecfPWfoNvAsCtKa4kGald3T/vLfhEJzoFW7ThAO05WmDaqKb38Z6WkEhGRDJdoC/VbwNXp3MsvIsGY99J27nl5B4+3KQeg+8zYTJ43Dj+Nm0acHmZpaSvRQL0wJVWISNq5Kftpbmp7V81ycdvLY99kzyT2AmSpK963npo3smM8+zSHWuNQp+zYsSPsckRavKjNCXC0t57GG6grgaeBZ939nVrr2xC7DXAVsMLdFwVRcBD0GmmR9FJ3ToBMlfRrpIkN6L8GeMzMegAfAW2BLOBF4Hfu/noAtYqIZKy4AtXdDwIPAA+YWWvgBOCAu3+UwtpERDJKosOmcPcyd39XYSoiififsq/w7hdt2bZ2edilpEyivfwiIgnbtnY5gypfj02y8txEtvEYvQecH3ZZgUsqUM2sjbsfCqoYEYmm/VteoWetSVb2b3kFEgzUTBgtkGwL9WkzW+juSwKpRkQiqVPuMMqKFoKXU0Y2nXKHJXyMTHiDQML3UOu4BDjFzBabmR6dEJEj6j3gfApb9Wcleey6OJqX+5BkC9XdK4D/NLPFwC1mdsjdbw2mNBGJkpNbfw4Q2TCF5O+hjgb6AGcAx6Ap/USkBUv2HmpH4G/AXHcvC6AeEZGMlewl/5+qvzezY4C+7r426arqMLNTgVuBju5+WdDHF5EWZMWd8I+76q//zkwYmtykL412SpnZCDNbaGb9qpan1tr2MzN72Mz+ArxBAu+cMrM/mNn7Zra5zvpRZvaWmb1tZjMB3L3I3a+N99giEl1JPyAwdBbMLoWcb8W+ZpfGvpIMU4ivl/8a4GbgB2Y2DOhXa9tAYLm7/2/gFXf/dQK/9yLqBLCZZQH3E5smMBeYqNdWi0i16gcEzmM9Oc9NbFKozntpO91nLuO1nSW8trOE7jOX0X3mMua9tD3p+uIJ1E/c/SN3nw6MBAZUb3D3CcAnZvZH4OREfmN3XwV8WGf1QODtqhbpIeBxYGy8xzSzqWa2zszW7du3L5FyRCQD7N/ySs1bWFtT9YBAgm4acTrFd11Eh7bZdGibTfFdF1F810WBTJodT6Auq/X9IeDR2hurBvVPBjaYWf3HGBLTBdhda3kP0MXMOpvZQ0B/M2uwXe7uC9w9393zTzzxxCRLEZEgFBZMh9kd6XNoE30ObYLZHWF2x9j6BHXKHUYZ2ZR7qyY/IJBKjXZKufuztRZvBeZUBecG4HF33+/uXwB3mFm3VBTp7iXAdfHsW2uC6VSUIiIJqn7Cqd76Jhyr94DzeeX5/lRWVtL14plpN6a1KU9KHQReALoRe2nf2dUb3H13g5+Kz96q41brWrUubu6+1N2nduzYMclSRCQdndz6c/7XMQfTLkwh8WFT29z99qrvnzKzRcBDQFDt7rXAaVWTWO8FJgCXB3RsEZGUSrSF+oGZ5VUvuPt2oEk3K83sMaAQ6GVme8zsWncvB35MrAW8FXjS3d9M8LijzWxBaWlpU8oSEWmyRFuoPwEeN7P1wCagL7CzKb+xu09sYP3zwPNNOWbV55cCS/Pz86c09RgiIk2RUAvV3f+b2DjUx6pWrQCOGIwiIuns2MrPOKHifdi9JrBjJvzoaVWP/jIOH06VNtTLLyKN2r2G7uU7MRweGQNXLYFuA5M+bLLzoaYd9fKLSKOKVwOOAV5xqGo5eZELVBGRxmxrezZfeBvKvRUHK7PY1vbsxj8Uh8i9pE+X/CLSmJc/7c4rh2bxzVbbWONnMPTT7vQO4LiRa6Hqkl9EGnPOqZ3Z5KfyUMXFbM7qzTmndg7kuJFroYqINCYvpxO/+cpjbKo4hTHX3EJeTqdAjqtAFZEW6YzsvZyRvZc+AYUpRDBQdQ9VJJoKC6YzaPdC+lSvmB27rVfYbUrVBCzhi1yg6kkpkWgKctaqVIlcp5SISFgUqCIiAYlcoGq2KREJS+QCVeNQRSQskQtUEZGwKFBFRAKiQBURCYgCVUQkIApUEZGARC5QNWxKRMISuUDVsCkRCUvkAlVEJCwKVBGRgChQRUQCokAVEQmIAlVEJCAKVBGRgEQuUDUOVUTCErlA1ThUEQlL5AJVRCQsClQRkYBE7q2nIiJHteJO+Mdd9V5HzXdmwtBZSR1agSoiLcvQWTB0FuPnFwLwxLTgXkStQBWRFmXeS9u55+UdNcvdZy4D4Mbhp3HTiNOTOra5e1IHSFf5+fm+bt26sMsQkYgxs/Xunn+kbeqUEhEJiAJVRCQgClQRkYBkRKeUmbUDHgAOASvdfXHIJYmI1BNaC9XM/mBm75vZ5jrrR5nZW2b2tpnNrFp9KfCUu08BxjR7sSIicQjzkn8RMKr2CjPLAu4HLgRygYlmlgt0BXZX7VbRjDWKiMQttEB191XAh3VWDwTedvcidz8EPA6MBfYQC1XQfV8RSVPpFk5d+LIlCrEg7QI8A4wzsweBpQ192Mymmtk6M1u3b9++1FYqIlJHRnRKuftnwKQ49lsALIDYwP5U1yUiUlu6tVD3At1qLXetWhc3TTAtImFJt0BdC5xmZj3MrA0wAViSyAE0wbSIhCXMYVOPAYVALzPbY2bXuns58GPgBWAr8KS7vxlWjSIiiQjtHqq7T2xg/fPA8009rpmNBkb37NmzqYcQEWmSdLvkT5ou+UUkLJELVHVKiUhYIheoaqGKSFgiF6giImFRoIqIBCRygap7qCISlsgFqu6hikhYIheoIiJhUaCKiAQkcoGqe6giEpbIBaruoYpIWCIXqCIiYVGgiogEJHKBqnuoIhKWyAWq7qGKSFgiF6giImFRoIqIBESBKiISEAWqiEhAIheo6uUXkbBELlDVyy8iYYlcoIqIhEWBKiISEAWqiEhAFKgiIgFRoIqIBESBKiISEAWqiEhAIheoGtgvImGJXKBqYL+IhCVygSoiEhYFqohIQBSoIiIBUaCKiAREgSoiEhAFqohIQMzdw64hJcxsH7Crgc0dgXgGqja2X0Pb665PZLn29ycAH8RRZ2Oa+3yPtK6hcwzzfBvbV+fb8Pp4z7f2crqdb0PbG1uX4+4nHvFo7t7ivoAFQezX0Pa66xNZrvP9ukw83wTPMbTzbWxfnW/y51t7Od3ON95zS+T3bKmX/EsD2q+h7XXXJ7Icb22JaO7zPdK6hs4xzPNtbF+db8PrE/k7HPQ5B3W+DW2Pd109kb3kjwIzW+fu+WHX0Vx0vtHWEs63pbZQM8WCsAtoZjrfaIv8+aqFKiISELVQRUQCokAVEQmIAlVEJCAK1AxlZpeY2UIze8LMRoZdT6qZ2almVmBmT4VdS6qYWTsze6Tq53pF2PWkWhR/pgrUEJjZH8zsfTPbXGf9KDN7y8zeNrOZRzuGu//V3acA1wHjU1lvsgI63yJ3vza1lQYvwXO/FHiq6uc6ptmLDUAi55upP9OjUaCGYxEwqvYKM8sC7gcuBHKBiWaWa2Znmdlzdb5OqvXR26o+l84WEdz5ZppFxHnuQFdgd9VuFc1YY5AWEf/5Rk522AW0RO6+ysy611k9EHjb3YsAzOxxYKy73wlcXPcYZmbAXcDf3H1DiktOShDnm6kSOXdgD7FQ3UiGNnYSPN8tzVxeymXkDy2iuvBl6wRi/7i6HGX/G4DzgcvM7LpUFpYiCZ2vmXU2s4eA/mY2K9XFpVhD5/4MMM7MHiQ1j6iG5YjnG7GfKaAWasZy93uBe8Ouo7m4ewmx+8WR5e6fAZPCrqO5RPFnqhZq+tgLdKu13LVqXVS1tPOtraWde4s5XwVq+lgLnGZmPcysDTABWBJyTanU0s63tpZ27i3mfBWoITCzx4BCoJeZ7TGza929HPgx8AKwFXjS3d8Ms86gtLTzra2lnXtLO9+6NDmKiEhA1EIVEQmIAlVEJCAKVBGRgChQRUQCokAVEQmIAlVEJCAKVBGRgChQRUQCokCVFs/MjjWzf1TN23mk7W3MbJWZaTIhOSoFqghcAzzj7kec1NndDwEvk+ZvRpDwKVAlsszsODN73czeNLPPzWyjmb1mZnX/3l8BPFv1mXZmtszM/tvMNptZdYj+tWo/kQbpWX6JPDMbCNzq7mOPsK0N8I67f7VqeRwwquq9TphZR3cvrbod8J67n9ictUtmUQtVWoIzgYZmNzoB+KjW8iZghJn91szOdfdSgKrbAYfMrENKK5WMpkCVliAX2NzAtgNA2+oFd98OfINYsN5hZv9Ra99jgIOpKlIynwJVWoKvAe8daYO77weyzKwtgJl9Dfjc3f8E3E0sXDGzzsAH7l7WPCVLJlKgSkvwAlBgZt9pYPuLwLeqvj8LWGNmG4HbgTuq1g8FlqWySMl86pSSFs/MvgHc5O4/PMo+zwAzq24JiByRWqjS4rn7BmDF0Qb2A39VmEpj1EIVEQmIWqgiIgFRoIqIBESBKiISEAWqiEhAFKgiIgFRoIqIBESBKiISkP8PGWs/9Dk5gY4AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "trace_te = trace + np.random.normal(loc=0,scale=30,size=N)\n", + "fig,ax = AV(trace,400).plot(data_label='No tracking errors')\n", + "AV(trace_te,400).plot(fig=fig,data_label='Tracking errors')\n", + "ax[0].legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These tracking errors can be fit in the following manner." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "av = AV(trace,400)\n", + "av.mlefit(tracking_error=True)\n", + "fig,ax = av.plot(data_label='No tracking errors')\n", + "av = AV(trace_te,400)\n", + "av.mlefit(tracking_error=True)\n", + "av.plot(fig=fig,data_label='Tracking errors')\n", + "ax[0].legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you know what the tracking error is, you can fix the parameter during the fitting." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(
,\n", + " [,\n", + " ])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "av = AV(trace_te,400)\n", + "av.mlefit(tracking_error=True,epsilon=30)\n", + "av.plot(data_label='Tracking errors')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -433,7 +597,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.10.13" }, "toc": { "base_numbering": 1, diff --git a/pyproject.toml b/pyproject.toml index 88a94d6..3c57fda 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,5 +1,27 @@ [build-system] -# These are the assumed default build requirements from pip: -# https://pip.pypa.io/en/stable/reference/pip/#pep-517-and-518-support requires = ["setuptools>=40.8.0", "wheel"] -build-backend = "setuptools.build_meta" \ No newline at end of file +build-backend = "setuptools.build_meta" +[project] +name = "tweezepy" +version = "1.2.7" +authors = [ + { name="Ian L Morgan", email="ian.morgan@nih.gov" }, +] +description = "Tweezepy" +readme = "README.md" +requires-python = ">=3.6" +classifiers = [ + "Programming Language :: Python :: 3", + "License :: OSI Approved :: GNU General Public License v3 (GPLv3)", + "Operating System :: OS Independent", +] +dependencies = [ + "autograd", + "numpy>=1.15", + "scipy" +] +[project.urls] +Documentation = "https://tweezepy.readthedocs.io/" +Repository = "https://github.com/ianlmorgan/tweezepy" +Issues = "https://github.com/ianlmorgan/tweezepy/issues" +Changelog = "https://github.com/ianlmorgan/tweezepy/CHANGELOG.md" \ No newline at end of file diff --git a/setup.py b/setup.py index 219b680..a52e369 100644 --- a/setup.py +++ b/setup.py @@ -3,45 +3,9 @@ Created on Tue May 5 16:31:29 2020 Author: Ian L. Morgan -email: ilmorgan@ucsb.edu +Description: Exists for back compatibility. + All relevant information is now included in pyproject.toml """ import setuptools -import os -this_directory = os.path.abspath(os.path.dirname(__file__)) -with open(os.path.join(this_directory, 'README.md'), encoding='utf-8') as f: - long_description = f.read() -# This call to setup() does all the work -setuptools.setup(name="Tweezepy", - version="1.2.6", - author="Ian L. Morgan", - author_email="ilmorgan@ucsb.edu", - description="Single-molecule force spectroscopy calibration", - url="https://github.com/ianlmorgan/tweezepy", - license="GPLv3", - packages=setuptools.find_packages(), - include_package_data=True, - python_requires = ">=3.6, !=3.10.*", - long_description=long_description, - long_description_content_type = 'text/markdown', - install_requires = ["autograd", - "corner", - "emcee", - "matplotlib", - "numba", - "numpy>=1.15", - "scipy", - ], - setup_requires = ["setuptools>=40.6.0"], - tests_require=["unittest"], - classifiers=["Intended Audience :: Science/Research", - "License :: OSI Approved :: GNU General Public License v3 (GPLv3)", - "Operating System :: OS Independent", - "Programming Language :: Python :: 3.6", - "Programming Language :: Python :: 3.7", - "Programming Language :: Python :: 3.8", - "Programming Language :: Python :: 3.9", - "Topic :: Scientific/Engineering", - ], - project_urls = {"Documentation" : "https://tweezepy.readthedocs.org"} - ) \ No newline at end of file +setuptools.setup()