{ "cells": [ { "cell_type": "markdown", "id": "611e3063", "metadata": {}, "source": [ "# Verifying the simulated images\n", "\n", "The images from notebook 01 should behave like frames from the real instrument\n", "model. This notebook checks that they do: star centroids land where the WCS\n", "says, aperture photometry closes on the ETC count rates, source-free pixels\n", "follow the analytic noise model, bright stars are flagged as saturated, and the\n", "FITS output round-trips. Every section ends in an assertion, so the notebook\n", "doubles as a smoke test of the pipeline.\n", "\n", "**Requirements:** a kernel with `wcc_etc`, `wcc_sim` and `astroquery` installed.\n", "The Gaia query is cached in `gaia_cache/` (shared with notebook 01), so after\n", "the first run it works offline." ] }, { "cell_type": "code", "execution_count": 1, "id": "6dd1a752", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:09:29.488080Z", "iopub.status.busy": "2026-10-12T14:09:29.487941Z", "iopub.status.idle": "2026-10-12T14:09:33.395135Z", "shell.execute_reply": "2026-10-12T14:09:33.394806Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "wcc_sim 0.1.0 | wcc_etc 0.1.0\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy.io import fits\n", "\n", "import wcc_etc\n", "import wcc_sim\n", "from wcc_sim import simulate_field\n", "\n", "from wcc_sim.plotting import use_style, TEAL, RED, AMBER\n", "use_style()\n", "\n", "print(f'wcc_sim {wcc_sim.__version__} | wcc_etc {wcc_etc.__version__}')" ] }, { "cell_type": "markdown", "id": "e90232fc", "metadata": {}, "source": [ "## 1. The test field\n", "\n", "The same pointing, sensor and exposure as notebook 01: the full IMX455 array at\n", "(291.0, 44.5) in `zwo:r`, 90 s, in focus. We also keep a 600 x 600 px subarray\n", "centred on a bright, isolated, unsaturated star at each of the three focus\n", "levels; the astrometric and photometric checks below use it to measure the PSF\n", "without neighbours." ] }, { "cell_type": "code", "execution_count": 2, "id": "26d22797", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:09:33.396905Z", "iopub.status.busy": "2026-10-12T14:09:33.396768Z", "iopub.status.idle": "2026-10-12T14:09:57.876087Z", "shell.execute_reply": "2026-10-12T14:09:57.875633Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100 Gaia sources (G <= 21.0), 167 saturated px\n", "plate scale 16.87 mas/px | sky 0.014 + dark 0.0031 e-/s/px | read noise 3.04 e- | gain 0.261 e-/ADU\n", "50 of 100 catalog stars land on the array\n" ] } ], "source": [ "RA0, DEC0 = 291.0, 44.5 # deg, ICRS (Kepler field)\n", "EXPTIME = 90.0 # s\n", "\n", "field = simulate_field(\n", " ra=RA0, dec=DEC0, sensorfilter='zwo:r', focus=0,\n", " exptime=EXPTIME, seed=42, mag_limit=21.0,\n", " cache_dir='gaia_cache',\n", ")\n", "\n", "p = field.params\n", "print(f\"{p['n_sources']} Gaia sources (G <= {p['mag_limit']}), \"\n", " f\"{int(field.saturation_mask.sum())} saturated px\")\n", "print(f\"plate scale {p['plate_scale_mas']:.2f} mas/px | sky {p['sky_e_s']:.3f} + \"\n", " f\"dark {p['dark_e_s']:.4f} e-/s/px | read noise {p['read_noise']:.2f} e- | \"\n", " f\"gain {p['gain']:.3f} e-/ADU\")\n", "\n", "img = field.image_adu\n", "cat = field.catalog\n", "inside = np.asarray(cat['in_image'], dtype=bool)\n", "bg = (p['sky_e_s'] + p['dark_e_s']) * EXPTIME # expected background per pixel [e-]\n", "print(f'{inside.sum()} of {len(cat)} catalog stars land on the array')" ] }, { "cell_type": "code", "execution_count": 3, "id": "502a2684", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:09:57.879234Z", "iopub.status.busy": "2026-10-12T14:09:57.878956Z", "iopub.status.idle": "2026-10-12T14:10:01.490152Z", "shell.execute_reply": "2026-10-12T14:10:01.489843Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "star: Gaia DR3 2126245588779207936 G=18.26 spt=G5V rate=1912 e-/s\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:35: RuntimeWarning: divide by zero encountered in matmul\n", " cx = (psf.sum(axis=0) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:35: RuntimeWarning: overflow encountered in matmul\n", " cx = (psf.sum(axis=0) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:35: RuntimeWarning: invalid value encountered in matmul\n", " cx = (psf.sum(axis=0) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:36: RuntimeWarning: divide by zero encountered in matmul\n", " cy = (psf.sum(axis=1) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:36: RuntimeWarning: overflow encountered in matmul\n", " cy = (psf.sum(axis=1) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:36: RuntimeWarning: invalid value encountered in matmul\n", " cy = (psf.sum(axis=1) @ i) / total\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:35: RuntimeWarning: divide by zero encountered in matmul\n", " cx = (psf.sum(axis=0) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:35: RuntimeWarning: overflow encountered in matmul\n", " cx = (psf.sum(axis=0) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:35: RuntimeWarning: invalid value encountered in matmul\n", " cx = (psf.sum(axis=0) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:36: RuntimeWarning: divide by zero encountered in matmul\n", " cy = (psf.sum(axis=1) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:36: RuntimeWarning: overflow encountered in matmul\n", " cy = (psf.sum(axis=1) @ i) / total\n", "/Users/gudmundurstefansson/Dropbox/mypylib/notebooks/GIT/wcc-sim/src/wcc_sim/psf.py:36: RuntimeWarning: invalid value encountered in matmul\n", " cy = (psf.sum(axis=1) @ i) / total\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "subarray sims done\n" ] } ], "source": [ "from scipy.spatial import cKDTree\n", "\n", "xy = np.c_[cat['x'], cat['y']]\n", "tree = cKDTree(xy)\n", "neigh = tree.query(xy, k=2)[0][:, 1] # distance to nearest neighbor [px]\n", "sat = np.asarray(cat['saturated'], dtype=bool)\n", "ok = inside & ~sat & (neigh > 180) # isolated: > 3 arcsec\n", "star = cat[ok][np.argmin(cat['phot_g_mean_mag'][ok])]\n", "print(f\"star: Gaia DR3 {star['source_id']} G={star['phot_g_mean_mag']:.2f} \"\n", " f\"spt={star['spt']} rate={star['rate_e_s']:.0f} e-/s\")\n", "\n", "fields_focus = {}\n", "for foc in (0, 1, 2):\n", " fields_focus[foc] = simulate_field(\n", " ra=float(star['ra']), dec=float(star['dec']), sensorfilter='zwo:r',\n", " focus=foc, exptime=EXPTIME, seed=42, shape=(600, 600),\n", " cache_dir='gaia_cache',\n", " )\n", "print('subarray sims done')" ] }, { "cell_type": "markdown", "id": "028b1047", "metadata": {}, "source": [ "## 2. PSF modes: peak ordering\n", "\n", "Defocus spreads a star's light over more pixels, so the peak pixel must fall\n", "from in focus to +1 wave to +2 waves. The radial profiles of the noiseless\n", "subarrays show the Airy core and the two rings." ] }, { "cell_type": "code", "execution_count": 4, "id": "d3c419b5", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:10:01.491805Z", "iopub.status.busy": "2026-10-12T14:10:01.491674Z", "iopub.status.idle": "2026-10-12T14:10:01.809815Z", "shell.execute_reply": "2026-10-12T14:10:01.809518Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "peak pixel: in-focus 14158 e- | +1w 308 e- (2.2%) | +2w 76 e- (0.5%)\n", "PASS: peak ordering in-focus > +1w > +2w\n" ] } ], "source": [ "from wcc_sim.plotting import plot_radial_profile\n", "\n", "bg = (p['sky_e_s'] + p['dark_e_s']) * EXPTIME\n", "fig, ax = plt.subplots(figsize=(7.5, 5))\n", "for foc, col, lab in [(0, TEAL, 'in focus'), (1, RED, '+1 wave'), (2, AMBER, '+2 waves')]:\n", " f = fields_focus[foc]\n", " row = int(np.flatnonzero(f.catalog['source_id'] == star['source_id'])[0])\n", " plot_radial_profile(f.image_clean, float(f.catalog['x'][row]), float(f.catalog['y'][row]),\n", " ax=ax, bg=bg, r_max=160, color=col, label=lab)\n", "ax.set_ylabel('mean profile [e$^-$/px]')\n", "ax.set_title('Radial profiles of the noiseless image (16.87 mas/px)')\n", "plt.show()\n", "\n", "peak = {f: fields_focus[f].image_clean.max() - bg for f in (0, 1, 2)}\n", "print(f\"peak pixel: in-focus {peak[0]:.0f} e- | +1w {peak[1]:.0f} e- ({peak[1]/peak[0]:.1%}) \"\n", " f\"| +2w {peak[2]:.0f} e- ({peak[2]/peak[0]:.1%})\")\n", "assert peak[0] > peak[1] > peak[2], 'defocus must lower the peak'\n", "print('PASS: peak ordering in-focus > +1w > +2w')" ] }, { "cell_type": "markdown", "id": "4cc67e1f", "metadata": {}, "source": [ "## 3. Astrometry\n", "\n", "Centroid the brightest isolated stars on the noiseless full-frame image and\n", "compare with the catalog positions predicted by the WCS. Sub-pixel placement\n", "uses an 11x oversampled PSF shift, so the quantization floor is 1/22 px, about\n", "0.8 mas; centroids should agree to a few mas." ] }, { "cell_type": "code", "execution_count": 5, "id": "5fbbce5b", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:10:01.811577Z", "iopub.status.busy": "2026-10-12T14:10:01.811474Z", "iopub.status.idle": "2026-10-12T14:10:01.910889Z", "shell.execute_reply": "2026-10-12T14:10:01.910558Z" } }, "outputs": [ { "data": { "image/png": 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ead+j9fEOiKVjS4MwPfroo+F1eqzrpdLWS+ev0l+LBhcR/RYNuhFrpGntO63X9c01depUu0793XSdS6TP3xlnnGGv7e7oirqvuYO1ePMoidK5uKw+f//617/C21ZVVeVMnDjRngfa11p0XKkPWqK813ONZKzjRIOTaR9HHxPLonur7iOx9mssOn5vu+228CBVGhFbeY4TTjjBeeGFF8LXHT2n8+6GG26weaxXXnnFefPNN53999/fPqfzMnrQJH2u8mj6LJ3X8sADD9jXr7baanagHS/l85RnUprKokWL7PGs/EUsusbos5T/SfXc1bnjHe1av92l64T2y7IG0rvzzjvte3Uc+BHBX47RMMM6gdXx3Dtin3uSLKuTqwKd6Ju46IYdT/Dn+stf/mKf00msk0sn7lNPPWVvIO6gD1OmTLGvueaaazq8X5kQPacLgzIs0TcUPaeAsq6uLuI5N2CLNXqfLhDuYBe6eLg0rLsuFroYeOmCvMIKK8S8UcUK/lw333xz+HvUsVlBjTJWW221lX299oUurgruYmUqtW0KmnXBcy/CLg0cofcowIyHMhru/tDNSR3VlSHXiHnujV83Bl1olWn0Ugd097233npreL0b5ChA9FI6eoM//U59l3txj95XulkoE6J01GMv3VAUnEYHf97vj3Xjd/d9dGZZx5zWKzPnvenphuiu9x4Ty8oYJnKevPXWW3aUufXWWy/hqQ5iBX/arxpIQJkqdyCDSZMmdTl6mTf403HtBgadBT6a+uDMM88M/39ZwZ9oG6IDQAUZ3mMnXhppc9SoUUkv8QwEceWVV4a3s6sRAN1rgIKAeOh8X2uttZxPP/00Yv2ygj9dr7Td3nM+meCvu66T2kfue9xAQn766afwegV3LmWKtU4jNHrNnDnTHrvxcqca8QY7Lp3LCmZU4OluswJUFSCJzjdlMN3t8wY1yzrH3ZF2L7nkkoj1bsZbGdV4g78vvvjCXs+iRwJVgZ47Cmy8gwqpQFBTFkTT+Rod/CnILisrCxfiuNx7rwrDNG2DKEBzr9W6Zrl0PLrX4lgjmXaWD9D9VEFydFCrwmD3PbqOdVfwd9BBB4W/R8eHN+jWaJ06VrTvvQXM8dAx5xYyuosGvou+Vy+Lm/bJBMHefRg9ZYJ7/mqJnhJFaTxgwAD7XHS+SoXUWn/vvfdGrHcLCrz5I92vdaxEF5rqXNS9Ixbd/3SfdQsCUj13lf/QSKregk+t07VSFQjL8u6779r3xjqX/IDgL8ecc845trbHSxc798TWCRZdguOlGh1lnqJvFqoJSCT4c0vVdXGLNf+Ym7lXoBr9XdEZ3+gLfFc3WW+gG003uViZPQWq2s7oYEaUwY+uJVtW8Oe9+HY1gpcCw1jB3z//+c9Oh83X1BIKVA855BAnHrohudvyj3/8I+ZrFJQqoxOLLoxujWV0yWf0yI26yes4ibbSSivF3FfKVGn92WefHfO73fnhooO/rtJf3xErs6xMi3uh92ZoVVji7h9lYuPNGCZynqTCG/xtuummtgTWrUFXAYGCXbfktSve4E+uuOKK8OdGZz6UIYueCzCe4E+UEVGBT3QQqPMoOsDvijddklniCZbcWg4t0QUfsYKPeEdxVI3nVVdd1WF9V8Gf5gFURiY6SEsl+Ev3dVL7SNdJZeC8wZ+4r1dhSvQ0CronRdPcZ/HQueR+dk1NTaevcwsbY2U8ldl058vUtSjec1zprfXeFg7ewEM1H/Hub13rVQAUiwqM9D61koiHMss6PzX1gZcK9rzB35NPPmk/V4Uc0VRDpQIgbat7PdT9T6NVKiCMLhByj91YgVKsfIDuO3qPArBoyn+4rV7cVkDdEfy508so7+PW3Maq+dHx3NX5H4sK0Nx0cxcVCiRy7VdNm96XzJyDXR233vM31rVGQZieU82ol+5nWh9dgODeg7zBlzvFh/IO0bWWsc5ttRbS62MV+iR77srLL79sjyXVhCtvpAKQWC0WYvnuu+/C+yn6uusH9PnLIWp3fsstt9g+I175+fnhEa/Ut0Dtojuj9uAayWq33XaLGJxB/TYSGWXN7Weofg1qjx3tiSeeMIsXL7Ztt9W2OxZ3RCi1yVZfonh0tY3e59TO3KW+D9pe9aFQv0Xvor5taiuv3xBvnwf3t4vbJj+WYDAYc736WonbNyt6AIqff/453Jch1W3RZ6n/yFdffdXht2tR/x/9fu+gIjpG5MADD4zo26W+BjpO4v2d7mipnfWJ6uy4SIb2pfprqu+QzgfXRx99FH4cq29jd58niVD/hFdeeSX8+Uoz9SlTP9pEHXPMMeGBCO677z57HLjUX1X9MlZbbbWEP1fvU9+O888/P6J/lvpk6rl497H62rUXTia1aJS/ZfH2O/Ee39Hc57yv74yuJeof4x1YJx7qk6MBtNSHrickc51Uv8hPPvnE9ltz+3h2dQ6pP5r6+F122WW2/7f6InoHBoqH+ii7uho0x73GDBkypMNzOs7V79HtB6a+3fFQ30ZdG9Uf2fX777+HtyneY9ntd61+S7Gusbqv6Brb1eBL0dcevbaiosJeE1zqo+3tO9bVfUT92TUwk/rfu9dD9QNX+mrxDoCk/mFu/894f7P6x2o/q29c9O/dcccdbV8u/WblAbqL+puK+r3G6j+r0Yd1vCxZssQOyhSv//73v/Y36Bql/vzuIDDqm6q+lHo+Hjom1AdP6ZhOy7r/uM97z223b7rSzXsM6d7m5r28aa/9pvyEzg/tR2/eKNa5ret/Z6N8pnLuan9rXAZdWzRewYwZM+Luczl48OCIfpR+Q/CXQ5Tx0EmowVJiZfbc4ZG7mvZBHW91EuqmoAFG9H/vTTtd3CHpu7pQrb/++vavtlUdhVMdAtr7nHshW7RokT3x9ZvffvvtDosysrroaOmJIcaVUXAHltDgC93tww8/tH91A4r1+5VB0G/3DjKji6wGBFCHcgU/+n+sDuFd0U3FnSLAnY6kuylDo0FelOYacEAd2RXcuxIZgKCnzpNo2ldu0Kz9rwA8kaDVG6i7BUJ6/z//+U/7WGmtDvfLmt6hKwqSNCiSBr5Yc801w+u1r9ypFbKBN7PRVSbUfW5Z56POgXPOOccWrsU7FL1o32ufxbpud5dEr5MuZfg0SImuUyqA0jnkHcDLew4pwFDQp3XnnnuuHRjCG6zEwzsQigLJZHlHrHUHZonnHNGgJ9ofCnBPPvlkc/HFFyd8vXCDJ42cG+saq+d13uleEw8Foxq4Re9RYHPiiSfGDDjcYewTuY+o8GGdddaxv00FtMp433///eEMery/2b2v6JiO9ZsVQGv7NRBNd3G3ubNCRD2v/SjuqL/LogB+u+22s6N6aronDbKiY+Owww6zzytwdgeF6YqOBwWLCiIVdKfTsq497vPR57YK6jUomVvgrtHilVd0C5Cj0173Ie1b5Tt1nb/zzjs7/U4Ffzp/uxqAJdlzV4VLGpRI+QmlR7z7s6+nQCDegD2XEPzlEGVoVZqhkbWiS9s08qcbvGj0J114YtFomzrxdaPSjfdPf/qTvWl7M8np4N7U3XlzlpU562zkuVS5J31X29GTVFrplgAnMzpdolSSnejv181DF3yVuLkXdgVAOv7i5R0SPZ01fF3RftX0BsowKYhSybh7005UT50nsWi0Qbd2X6OzaSTVZCgT6WYEVPKt0Ro1RYwy98qUpEr7RgUZ3poHjTiZLTRKpcsdqTea9ok7ap6O8a5oZEedv9p3em304haQKGBy14lGzNN+ivUevVb0XnedAqlM0ojFGr1TNaIKdLuq5dR5oWNK57gyyRrFT6P6qQAmHt5a+lQKV7wFTN7PXBbdK5VhVeGORk+96qqrbEazu6+xXVFtkQrjdB3QNU3nrjLf7hxqLneU6kTvI8obKAhQMKpRvVUj7Z27LhO/ORkKZpaVd3CPi87O/1hzG+s41ki+bssGHdu6l7ijZysdllWTpGm3VKiUbVM8vPvuu7ZmWTVoulZrtO/OCg9UMKJjRQUG2n+6Vikwjq6dUysMFQRqhGDvtEDpOnfVIkCjuboBabwFTAFPq6juHnk2GxH85QiVOGkI3FilbO6i4YBdXU37oNJdnaw68TV0sC52asKTziFx3Sp31QDFGiI8+kTvrlowt/RHN8hEa6+6g7eJpNK0u7m/P95SZ5dufAr21OxFQ6Br/6nJo0rH4+Ft4hTd/KQ7qKZCN4izzz7bltgmUwKZifOkM6pBUwDqnsuxpsZYFjVXUlNMUdMelcLr5qk0TKTmSpnizmi/PPDAA+Empiq5dTOGmaYm1G5tUmdNAb3NDpW2XVFwosyuMn6xFndY+O+//z68zn2fd5130XrRe9118dZcdQcdG5qqQBlD1Rx7M1CdUU2ICkXUnEyZLDUrVgl9PAV63i4Dap6XLG+tYbwtDV588UUb5OreoyA3VrO0RK6xaibeVfPiROi8UpChgjc1z9b5u99++0VMG+TeSxK5j6jJnKbUUICuQqXOptborvtKOq233nr2b1dzL7r7KN7gVk3kRQWI0a644gobCOkYX9bk4Y888sgypyLoabovKqBTAKfjoKv5CV16vVpxaToGpbnyAyoE9U6F0lWTz3Scu+rOobmXlSbKV6hgNJ7WMEs815N0TAPS2xD85QjdUFXi3Nl8VaISeN3M3Ln11GeoM7roq4RZJZ8qsVEplUpx08XdDmV8lIGOxW1rrpPfvZCnmzIXbl+SrvrRKUjtbD6+dFJGw70QdbU9aiqktEmVO4+ZjoWu5jFTSaWWaMrE6eKr2gsFDGrCFk/tl/p7RDcR6k7KrKrwQ3P7qG9MunT3edIZNW3R8eFmztRnrKt+bp2VbHprbTThrWpk3Oag8VJw19nE7qJ+vd7MUjw1LyqIUc1csot3DsjOqKml26Sos2NQx7bonFRGpyvuvHmdLW5/PmWQ3HWidOvsPXqtuJlKLV312e5Oqu3X+a3CHmUQE6EARQUUqrFSwZ9qGKLnwOvs+uRm/tw+XMlwAwDVanv7K3ZG54GaVKtQK9WJoN1rrK4NXRXSKEhLtBmkMtTKaJ955pn2/6qlcwvT3D67Xd1HtE/dmhL9VbNl3RMTvQZ09pvVR7mrQtWbb77ZzJo1y3QHdyJxdRnpLOh2a0fdgrRlcX9LrGBR17Vddtkl4nNj0bYoWFEtuOYFzAYqZHLnLUz0/qUgUXkjpaO66uiY0nHoUiGF9k0icxnGe+4qgFPrHTVP1fVE6aLt8DbPjqdJeVkX+eZcRfCXA1SSftddd4Wb4XXF7byuTIROmGjR7dXVdEI3fZXqRPe7czNxyZRmqsbBbYaqPgWxuJNXq0QznsEWkqHSN3cydtXgxMrE6qatTs3u68TNdKerJNe7PW4HcA3eow7V0dQMTSVt6RgcQhk5t1ZV/bxi1cKqxFqlwO5AL8poeJsSaZuVQTrggAPs/+Ppn6n+QLqYe0tT4+VmBmPdYN2amujBExSgSHS/Te9nJNKsLJHzJBVdDQKhElb1rRP19VVmtbPjUTfJWGmrgFV9fNzjXE13ogfW8AaOsYJIHYfLanrqppkC73hKWfU7dNwlu8Qz4Iu4zWefeeaZmM+rkEyUGU6lz1kuSPQc0nmt2rPo403XWYnnPNF1VtcoSaVlhhvgqO97PBR0u8FmZ783+nrR2T1BNYZu4aVaHsSq+dZ3qX9cPIN/6D7vPQ91XKrWSTXTqvFwC3VV0OUe27GusXqt+gu6QaJqaPS50U3zdA1y90W810jdK5Q/0L5QLWKs64YKG9XSQJOJdwd3YBnVMLuFKNHcmsl4a+BUkCVuf/VoblDY1b1Z54Tu4dnU5FMFo7o/qCY0usYv1vGuAcIuuOCCiNfpfq4m4d5zW4Gbzj0VxsUa+C/Vc1fnk+6DCvTV9FnNcUV9jZdV4/1z+yBnarYbb/CfSwj+coD6ManWRYNvxFNS6AZtKnWLbnKnkknvyH/uzU8XtejR/9xSK+9N2c1gujfAzgZSUAbzoosuCm9HdNMM3SxUCqqMovu66Or6WDcU7403ulmRt5rfm6l2az90QdZFShdCfY4WdQRXKbdKMnWRSeS3d/X7vdsTnSmfNGmSvQirFE4liaq1Usmc0kqZUY2OqeAj1ghmXe2PWNuiDItuzu7NWBdR1cRq3yrAU2CuG7mCO7dvnvZrrNoHt49F9HHS2e90S9TVTFKBk5de62bgozNLbtCoG/ftt98evjEpWNYgBe4NyztCrNvkTn0Z3CZ+qs31lhCqBF3N9tz95N1f0Rm6RM4THUPKNKgfTbwjxrrc/mad9d3RseLWcin99P9Y9FuVgYvVHMbtq6JriHsseHm3OVbHeNW0qXRX/aJi0fvVJN29WWfLaJ+iwYo06IMCxugAUP1YdFyqpko1Il46zlRoomuue2xlm3RfJ93fqSZtbo2ojgelqdt8TueQjjH3mHEHEornOtEZN2PuDhLWlViBlbZH/Q51nLrHuquzc9ybpmpV4x5XGtRCXSi8gYN7HejqnuDWpui41PmqQXJ0zdK+VosKXdPVV9/bIqIz+gzVHMXaryqIcwMPFea5GXkV6iizruNcaaNrrgJx72jB7m9WAaj7+aoBVUGjexwoffXYvbZ2tv+0LzTOgDz66KO2ANfdX/p+pYfuNW5BQKLc46urwlfd29zruwYFiabafgUpCj5VuOvSMa1rtdLCPc5dbh9c5Vmiab8oXRXkuM3pO2vyKakEf95zNPr87urc9r431rmtv0ob93NUo+fmzdymnG4wqHtvdN/d6HNb9wVtXzxNPhM9d1944QWbP/H2I9exqoHdtO0arKir4+PL9pZTKnDpbETynJbpuSaQmjfeeMNZbrnl7BI9mWosmpesqKgoPL/Jvvvu6yxevDj8vCaM1twtmgPFNXXqVDuv0BNPPNFhsll3vjFNGHrppZfaOWI0b5DmoXO/wzthbDRNQqrXaE43Tewsmqz69NNPt3MSas48L3321ltvbd8zcuTIDnOHaZJx93uj56txJ/rWcvnll0c8d+6550bM2aPf686npu+LngPQnWhccxm9+uqrzo033uhcf/31duJSzVvnfk70hKkuzTu0+uqr29forzvxaazfEb3EO0eWO++a+z7NqeSd4Ny7LePHj4/4DnfiYS2aLNrr+OOPt/PceY8HzTFVUlLiHHDAARGv1cS67pxOOia8E+FqW/bff3/7nCaZ18TD7733nvPUU0852267bXhyWXfyV3fORKWFO/eaFs2fpbmaNthgAzthvbte+1WfJZqM1l2vyWk1F53mD9L5454P+k2aS0jzJGnbTjjhhPB7lMZeiZwn7ryIWh566KG40+7LL78MT7qsRfOmxaKJtTWZuvs6HTtemmfTPdZuuummDu/X+a/5D3fccceYn+/OnahF8yl99NFHEc9PmzYt4hjzzpf4448/2s/Vc9ETAmcLzfGl+RN1TGgybtF8XTvssIO9rkbPZynuxMRaNL9UPJY1yXssyc7z1x3XyWuvvTbi+qj9pXNT73fnDtN5vMIKK9j5AXXt0zrNp+jOJadza9y4cXZOw8bGxrh+i+ab1Pfp93TGnWNP15pTTz01fC/U/e7ggw+21wjvnIXS1TmueQyV9u5zQ4cOtdcLzVunfeKu15yr7jykOl/d9ddcc429Fmnyad3PxHtPdM8l99qo62b0fGmd0YTi+j26drn0XbomTZo0KeK1umZ4r+XeJXqewhkzZoSf03bpWqh9oN+yxx57hNNd+8K9L2veP/c9f/3rXztcdzR3W6z7ij4/ev7EeM2ePdvOR6jP0fZFp2s0N411XLjngSYQ32yzzewx7E7+7t1n7vbqPdH3Su1//Q5dS937ma6hus5rPmD3nhOLXq9jJt45HTvz5z//ObyNH3/8ccRzH374Yfi5qqqqiOd++eWX8L6bMGFCOD+gz3DzO+49Va+bOHGic9ppp0Uc77feeqs9P/T/vffeOzyPs85x7S/tA93HRfdIfa7mMU3nuavrtLbl4osv7vJ+pTlsY83xKPptes0DDzzg+BHBXy+mTLn3wqoLoQKyzhx11FHhE9+76AauSThFNxD3xqQbtCaC1QTgzz33XIfPU8ZXE6nqZFcAqEDj9ddfjwgu3RuGPsvNWEXTxVIXVGUa9DmazFoXATcYdGkyVN14vJ9dXFxsMxe6mGtye/dm6n7v+uuvb9+rm6v34qbXKcPnzajqIqCLlfajggm9V5kk76TgLmUOd911V2fAgAHOmDFjnNtvv91mIqO3T4v2oTfDp22J3kdKA/2O6EyYgiBtj75HAVqsjGhntC+jt0X7+LLLLuvwWl0gNem6btY6BrQ92223nfP44493eK2CP+/n6UZWVlZmgzc3o6Ngdp111gkfT+6iCXe9v0EZHk2Mrn2tfa79ooy1JnTWTWefffaxE5lHT8CujNbOO+9s0183B50LCgpnzpxpb0jPP/98RKCp5xRAKgOnQEmZOPemr0yt9rEysJqkWse6tjM607LWWms5S5cuTfg8UeGHtlG/0b1RdkXbqrSLlWnTRLz3339/h/coqPS+bsUVV7SZGDc9vc8pwxOd4VdhxmOPPRax7u6777bpGr0N+s36LQrsROe9CpF0jOsY1nGq64KOCx0fSs9EjttM0PVDBUDaXypE0LZrIunOMpa6VuhYVYDYWeYiU8Ffd10nda4qw6RMl+4jSlc38NXxpPNK54J7zXCDP/f6puukAgrtV2VCE6FCIp0P8+bN6zIDqQBRwZkKjvSbdA3SdUSTUnvFc47rmF133XXt/U3HhVu4p3244YYb2t+kQkr3mif6bu17FaaoIMQb4Op6pIm1dW7rM3VN32KLLexk34nQvdJ7nis99XsVpMUq3NO1VBl9HQO6Fuj+qnM7Fm2/CtZUEKbJvXUdFV0Xtb9UkKDrsbdAKfpe5w1K9fvPOecce1yoYEDX391339157bXXnEQp/6Drn64/0fkLrXe3NRZdM3Vd0vVMk7PrHNf5HqvAXMeK0l2/V787mtLxhhtusGmn89K9Xuj+0lkex6X8kbZZ+yQZKujTPvb+fqWp0lf0V/dR7/NKz88++8wG27Hux+51X5PeK510bKow3g2KlDfU/lXhrhtsucGfFqWrjkF9j66HbuCn1yyr0CaZc1dBt1soqvu2glGXfovOS+9v1Pmo/Fq0MWPG2GPYm0/wkzz9k+naRwAAgFjUXFF9U9X81u3XEz3Yjkad1QA+3nkHAWS3TJy7L774otl+++1tk2t3YCC/oc8fAADIWurnq/5bGtjEO/0GACRC/Qirqqpsn1i/Bn5C8AcAALKaRhnWxOYaSCSeebwAINaI96uttlrEQDF+RPAHAACynubyWnvtte1Ift6h591R/VKZCB5Az+vJc1dNxjUC70MPPeTPET49CP4AAEDWU4btxhtvtNPvTJs2LZx5dKcS0XD03ileAGSvnjx3NQeh5hfWFGL57dOd+RkDvgAAgF5H820ee+yxEfPV9u/f3/YR1JyomuQbQPbh3M0sgj8AAAAA8AGafQIAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADzDeqTFm+PDhZuHChWaVVVbJdHoAAAAAQEzfffedGThwoPn5559NMqj5M8YGfppvZM6cOearr74yPSEUCtk5TfSX70lMT6VTrqVRT35XrqVRT35XT/6mXEunXDoe9Llz586NWLrzd+XSvuvp7xHOpeRxX8r+fce5lF37TjGLYpekOXDGjBkTXtZaa60e2SPffPONo92vv3xPYnoqnXItjXryu3ItjXryu3ryN+VaOuXS8dDU1OQcd9xxEYvWdZdc2nc9/T3CuZQ87kvZv+84l7Jr37kxS7Ko+QMAAAAAHyD4AwAAAAAfIPjLkOLiYjN58mT7l+/JTrmWRj39XT0hF/ddrqVRru67XEunXNx3uZZGubrvci2dcnHf5Voa+X3f5antp/G5sWPHhh+rQ+bs2bMzuj1YdnqRTtmNNOodSKfsNX/+fHPWWWdFrLviiivMoEGDMrZN6BznUvYjjXoH0in+uGXWrFkmGdT8AQAAAIAPMM9fO9UkPfXUU6apqcnU1dXZ6tlsqqLF/1NJR2NjI7ski5FGvQPpBHAu+QXXu96BdIqtoaHBLu5UD8Fg0CSLmr929fX1pqyszJSXl9u/1dXVSe9UAAAAAEgHxSWKT7TU1tbauCVZ1Py1KykpMTU1Nbbmr7CwkFo/AAAAABlXVVVlKisr7eOKioqUav4I/toFAgFTWlpqmxMWFRWlJ6UAAAAAIAXe7mgFBQWpfBTNPgEAAADAD6j5AwAgywwcONBO7SBudwStAwAgFQR/AABkYVcEd04/jUbN/H4AgHRgtE8AAAAA8AGCPwAAAADwgZxu9rlkyRLz5ptvmm+++cYOi7ryyitnepMAAAAAICNysubvhx9+sHNhbLXVVubXX381hx12GIEfAAAAAF/LuZq/F1980ey1115m7733trV+ffr0yfQmAQCQkNbWVjNnzhz7eOHChXakz1GjRpn8/Jy7bQMAelBO3UVef/11s8suu5hdd93V3HbbbSYvLy/TmwQAQMIWL15srrrqqoh1mvqBUT8BAKnImWaf8+fPNwcddJDp37+/ufHGGwn8AAAAACAXg7/rr7/e/Pjjj7av39ChQzO9OQAAAACQVXIm+Lvjjjvs3+WXX97suOOOpri42AwZMsQcddRR5rfffsv05gEAAABARuVE8FdfX29mzZoVbv551113mW+//dZMmjTJ/Pvf/7bTPDQ3N2d6MwEAAAAgY/JzZWoHWWeddczll18eXq/g76OPPjL33nuvue+++8zhhx/e6WdoVLWxY8eaUChkAoHImNgNLAEAAACguyku6Sxm0ejPvg7+Fi1a1OlO2m+//Wzw9/zzz3cZ/DmOYwM/LdEaGxvTvMVIlWp4kd1Io96BdMpOCxYs6LCuqakp5j0qF+x556Omt7trr+0zvQlYBq53vQPp9D+dXe8Vs6QiJ4K/4cOH27+xpnZYY4017N+ff/65y88YPXq0reFToFdUVNRNW4p0Ip2yH2nUO5BO2Se6BYoUFhbm7FQPc5vbTG+ntOFcyn6kUe9AOhkze/bshGoEfdXnb8UVVzQFBQXml19+6fBc37597d9+/fplYMsAAAAAIDvkRPDXp08fs9NOO5mZM2d2qAp1R/ocM2ZMhrYOAAAAADIvJ4I/UX8+BXqvvfZaxPp3333XNgfVBPAAAAAA4Fc5E/xpYBfN7zdx4sTwADBLliwxN954oznjjDPM+uuvn+lNBAAAAICMyYkBX0S1e48//ri54IILzM4772zWXntt8+uvv5oTTzzRnHTSSZnePAAAAADIqJwJ/txBXaZOnZrpzQAAAACArJMzzT4BAAAAAD6p+QMAIBcMGDDATJ48OTzhseaQ0zoAAFJB8AcAQJYJBoNm5MiR9nFjYyMTHgMA0oJmnwAAAADgAwR/AAAAAOADBH8AAAAA4AMEfwAAAADgAwz40i4UCpm6ujrT1NRkCgsLTXFxsV0AAOhpbW1t5pdffgmP9rlw4UIzbNgwOxAMAMBfGhoa7CItLS0p3QsI/trV19ebsrKy8I7RENtTpkxJNa0AAEjYokWLzIUXXhix7oorrrBTPgAA/KW6ujrinjB06NCkP4vgr11JSYmpqamJqPkDAAAAgEyqqqoylZWV9nFFRQU1f+kQCARMaWkp8ykBAAAAyBre7mgFBQUpfRYDvgAAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADxD8AQAAAIAPEPwBAAAAgA/kZ3oDAABApP79+5szzjjDPl64cKEZOHCgXQcAQCoI/tqFQiFTV1dnmpqaTGFhoSkuLrYLAAA9LT8/36y55pr2cWNjoykqKiIRAMCnGhoa7CItLS0mGAwm/Vk0+2xXX19vysrKTHl5uf1bXV2dntQCAAAAgCQpLlF8oqW2ttbGLcmi5q9dSUmJqampiaj5AwAAAIBMqqqqMpWVlfZxRUVFSjV/BH/tAoGAKS0tpXkNAAAAgKzh7Y5WUFCQ0mfR7BMAAAAAfICaPwAAsnAQMo3yKQsWLLCtUzTip/4CAJAsgj8AALKMAr+zzjorYt0VV1xhBg0alLFtAgD0fhQhAgAAAIAPEPwBAAAAgA8Q/AEAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACAD+RnegOyRSgUMnV1daapqckUFhaa4uJiuwAAAABApjQ0NNhFWlpaTDAYTPqzqPlrV19fb8rKykx5ebn9W11dnZ7UAgAAAIAkKS5RfKKltrbWxi3JouavXUlJiampqYmo+QMAAACATKqqqjKVlZX2cUVFRUo1fwR/7QKBgCktLTWNjY2mqKgoPSkFAAAAACnwdkcrKChI5aNo9gkAAAAAfkDNHwAAWaZfv37muOOOs48XLVpkBgwYYNcBAJAKgj8AALKMmvVstNFG9jHdEQAA6cJonwAAAADgAwR/AAAAAOADBH8AAAAA4AMEfwAAAADgAwR/AAAAAOADjPYJAECWmT9/vjnrrLMi1l1xxRVm0KBBGdsmAEDvR80fAAAAAPgAwR8AAAAA+ADBHwAAAAD4AMEfAAAAAPgAA760C4VCpq6uzjQ1NZnCwkJTXFxsFwAAAADIlIaGBrtIS0uLCQaDSX8WNX/t6uvrTVlZmSkvL7d/q6ur05NaAAAAAJAkxSWKT7TU1tbauCVZ1Py1KykpMTU1NRE1fwAAAACQSVVVVaaystI+rqioSKnmj+CvXSAQMKWlpaaxsdEUFRWlJ6UAAAAAIAXe7mgFBQWpfBTNPgEAAADAD+jzBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD7gi6kevvrqKzNo0CAzbNiwTG8KAADL1LdvX3PQQQfZx0uWLDH9+vWz6wAASEXOBX8TJ040V1xxRcS61VZbzQaAAAD0Bn369DHbbrutfcz8swCAdMmp4E83yAcffNDstNNO4XV5eXmmsrLS/gUAAAAAv8qp4O9f//qXOeWUU8xZZ52V6U0BAAAAgKySMwO+NDc3m2nTptm/7777rgmFQpneJAAAAADIGjkT/N11111m7ty55rzzzjObbrqpGTlypLn00ktNa2trpjcNAAAAADIuZ5p9jh8/3jzxxBPms88+M48++qh56623zLnnnmvefPNNM336dBMMBrt8/5w5c8zYsWNtjWEgEBkTz5o1q5u3HgAAAAD+R3FJZzHLqFGjjPF78KcRPbVMmDDBTJo0yTz77LPmiCOOsAFhdXW1OfPMM7t8v+M4NvCL1VxUA8kgu8yfPz/Tm4BlII16B9IpOy1cuDA8crXuTxq0TP3ZBw4caHLRiD5dF9D2BpxL2Y806h1Ip//prAub7gmpyJngL1pFRYV55plnzMYbb2xuvfXWZQZ/o0ePtjV8DKndexQVFWV6E7AMpFHvQDplH7VAUQDopflqteSiuc1tprdT2nAuZT/SqHcgnYyZPXt2QjWCvuvzF8t6661ndtllF/PNN99kelMAAAAAIKNyOviTtdde2/Tv3z/TmwEAAAAAGZXzwd9PP/1kNtxww0xvBgAAAABkVM70+Vu8eHGHGr76+nozY8YMc+edd2ZsuwAAAAAgG+REzd+HH35oO1qPGTPGvPTSS+GRgjTapwZ62W233TK9iQAAAACQUTlR87f66qubgw8+2Dz11FNm1113Ndtuu61ZeeWVzZQpU+xonwAAAADgdzkR/C233HI07QQAAACAXG/2CQAAAADoGsEfAAAAAPgAwR8AAAAA+ADBHwAAAAD4AMEfAAAAAPgAwR8AAAAA+EBOTPUAAEAu6dOnj5kwYYJ9vGTJEtOvXz+7DgCAVBD8tQuFQqaurs40NTWZwsJCU1xcbBcAAHpa3759ze67724fNzY2mqKiIhIBAHyqoaHBLtLS0mKCwWDSn0Wzz3b19fWmrKzMlJeX27/V1dXpSS0AAAAASJLiEsUnWmpra23ckixq/tqVlJSYmpqaiJo/AAAAAMikqqoqU1lZaR9XVFSkVPNH8NcuEAiY0tJSmtcAAAAAyBre7mgFBQUpfRbNPgEAAADABwj+AAAAAMAHaPYJAECWWbhwobn88svDo1Gra8LEiRPNwIEDM71pAIBejOAPAIAso4Bv7ty5HdYBAJAKmn0CAAAAgA8Q/AEAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADzDJu2fy3Lq6OtPU1GQKCwtNcXGxXQAAAAAgUxoaGuwiLS0tJhgMJv1Z1Py1q6+vN2VlZaa8vNz+ra6uTk9qAQAAAECSFJcoPtFSW1tr45ZkUfPXrqSkxNTU1ETU/AEAAABAJlVVVZnKykr7uKKiIqWaP4K/doFAwJSWlprGxkZTVFSUnpQCAAAAgBR4u6MVFBSk8lE0+wQAAAAAP6DmDwCALKOS3W222cY+bm5uNn369Em5tBcAAII/AACyTL9+/cwhhxxiH9MdAQCQLoz2CQAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD7AaJ8AAGSZRYsWmeuvv94+bm1tNfn5+ebEE080AwYMyPSmAQB6MYI/AACyTFtbm/nyyy87rAMAIBU0+wQAAAAAHyD4AwAAAAAfIPgDAAAAAB+gz1+7UChk6urqTFNTkyksLDTFxcV2AQAAAIBMaWhosIu0tLSYYDCY9GdR89euvr7elJWVmfLycvu3uro6PakFAAAAAElSXKL4REttba2NW5JFzV+7kpISU1NTE1HzBwAAAACZVFVVZSorK+3jioqKlGr+CP7aBQIBU1paahobG01RUVF6UgoAAAAAUuDtjlZQUJDKR9HsEwAAAAD8gD5/AAAAAOADBH8AAAAA4AMEfwAAAADgAwR/AAAAAOADBH8AAAAA4ANM9QAAQJbJz883G264oX3c0tJih/bWOgAAUsGdBACALNO/f39z/PHH28fMPwsASBeafQIAAACADxD8AQAAAIAPEPwBAAAAgA8Q/AEAAACADzDgS7tQKGTq6upMU1OTKSwsNMXFxXYBAAAAgExpaGiwizsCdDAYTPqzCP7a1dfXm7KysvCOmTx5spkyZUqqaQUAQMIWL15s7rjjjoipHg4//HA7CigAwF+qq6vNhRdeGP7/0KFDk/4sgr92JSUlpqamJqLmDwCATGhtbTUffPBBxLpDDjmExAAAH6qqqjKVlZX2cUVFBTV/6RAIBExpaSnzKQEAAADIGt7uaGoJkgoGfAEAAAAAHyD4AwAAAAAfIPgDAAAAAB8g+AMAAAAAHyD4AwAAAAAfIPgDAAAAAB/I6eBPE7WPHz8+05sBAAAAABmXs8HfRx99ZP7+979nejMAAAAAICvkZPDX0tJizj333PBkiAAAAADgdzkZ/P3tb38zJ5xwghk4cGCmNwUAAAAAskIgF5t7fvPNN2bPPffM9KYAAAAAQNbINznW3PPss882d999d6Y3BQAAAACySk4Ffxrg5dhjjzVDhgzJ9KYAAJC0YDBo1lhjDfu4tbXV5Ofn23UAAKQiZ4K/jz/+2Hz55Zd2eodkzJkzx4wdO9aEQiETCES2hp01a1aathIAgGUbMGCAOfPMM+3jxsZGU1RUxG4DAB8ZO3ZspzHLqFGj/B38qVT0rLPOSqm5p+M4NvDTEk03XmSX+fPnZ3oTsAykUe9AOmU/P6TRiD69v1bTD+nU25FGvQPp9D+xYhI3ZklFTgR/l156qdlpp51Mc3Oz+eGHH8Lr29razNKlS+06NZkZPnx4p58xevRoW8NHCWvvQUl49iONegfSKfvlehrNbW4zvd2gQYNyPp1yAWnUO5BOxsyePTuhGkFfBX/PP/+8eeWVV8zEiRM7PKfAb+WVVzarrrqqqaury8j2AQAAAECm5UTwd8kll5j6+voO648++mizwgor2OfVfwIAAAAA/Congr8tttgi5vr+/fubkpISM2HChB7fJgAAAADIJjkR/AEAkEuWLFliHnnkEftY/dn79Olj9tlnH9OvX79MbxoAoBcj+AMAIMu0tLTYvuxeu+++O8EfACAlOR38McALAAAAAPxP5GzmAAAAAICcRPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+kNPz/CUiFArZeQGbmppMYWGhKS4utgsAAAAAZEpDQ4NdpKWlxQSDwaQ/i5q/dvX19aasrMyUl5fbv9XV1elJLQAAAABIkuISxSdaamtrbdySLGr+2pWUlJiampqImj8AAAAAyKSqqipTWVlpH1dUVKRU80fw1y4QCJjS0lLT2NhoioqK0pNSAAAAAJACb3e0goKCVD6KZp8AAAAA4AfU/AEAkIWtUUaMGBEekEz/1wIAQCoI/gAAyDIDBw40U6ZMsY/pjgAASBeKEQEAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHGO0TAIAss3TpUvPss8/ax0uWLDH9+vUzFRUVpm/fvpneNABAL0bwBwBAlmlubjYzZsyIWDd+/HiCPwBASmj2CQAAAAA+QPAHAAAAAD5A8AcAAAAAPkCfv3ahUMjU1dWZpqYmU1hYaIqLi+0CAAAAAJnS0NBgF2lpaTHBYDDpz6Lmr119fb0pKysz5eXl9m91dXV6UgsAAAAAkqS4RPGJltraWhu3JIuav3YlJSWmpqYmouYPAAAAADKpqqrKVFZW2sea9ieVmj+Cv3aBQMCUlpaaxsZGU1RUlJ6UAgAAAIAUeLujFRQUpPJRNPsEAAAAAD+gzx8AAAAA+ADBHwAAAAD4AMEfAAAAAPgAwR8AAAAA+ADBHwAAAAD4AFM9AACQZfLy8sxyyy1nHzuOY/+vBQCAVBD8AQCQZRT4XXnllfYx888CANKFZp8AAAAA4AMEfwAAAADgAwR/AAAAAOADBH8AAAAA4AMM+NIuFAqZuro609TUZAoLC01xcbFdAAAAACBTGhoa7CItLS0mGAwm/VkEf+3q6+tNWVlZeMdMnjzZTJkyJdW0AgAgYc3NzeaNN96wj5csWWL69etnxo0bZ/r06cPeBACfqa6uNhdeeGH4/0OHDk36swj+2pWUlJiampqImj8AADJh6dKl5r777otYt/HGGxP8AYAPVVVVmcrKSvu4oqKCmr90CAQCprS0lPmUAAAAAGQNb3e0goKClD6LAV8AAAAAwAcI/gAAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHUgr+Pv/88/RtCQAAAAAgO4O/8ePHp29LAAAAAADZGfzNmzfPPPbYY+nbGgAAAABAt8hP9QP23Xdfs/HGG5uysjLTr18/k5eXl/BnBAIBc/PNN6e6KQAAAACA7gr+FOwFg8Hw/x3H6fL13333nXnppZfCQeLgwYPNXXfdZTItFAqZuro609TUZAoLC01xcbFdAADoaYMGDTI33HCDfdzY2GiKiopIBADwqYaGBrtIS0tLROzV48Hf448/bnbZZZe4XvvEE0+YI4880gZ+ChI32GAD8/DDD5vS0lKTafX19bb20jV58mQzZcqUjG4TAAAAAH+rrq42F154Yfj/Q4cOzUzwN2zYsLgCv9bWVjNp0iQzbdo0+38FfgoC//nPf5q+ffuabFBSUmJqamoiav4AAAAAIJOqqqpMZWWlfVxRUZG5mr8ZM2Ys8zVqSnnggQea9957zwZ9CvauueYac8wxx5hson6HqoGkeQ0AAACAbOHtjlZQUJDSZ6UU/G200UZdPq8mnQryVJumwG/VVVc1Dz300DLfBwAAAADIoqkeOtPc3GxOOukkc8ABB4QDP1VRvv/++wR+AAAAAJABKQ/4Eq22ttYGfZ988okN+jS4y/nnn28HT0lmGggAAPxGo7npPiqLFi0yAwYMMOutt17KzX0AAP6W1uDv7rvvNieeeKJZuHChDfw0jcOdd95pdt1113R+DQAAOW3JkiXmxhtvjFh3xRVXEPwBADIf/C1evNicfPLJ5vbbb7f/V+C3/vrr2z5/3ukTAAAAAAC9tM/frFmzzCabbGIDPwV9WjQU6Ztvvhl34Hf11VenuhkAAAAAgO4K/m6++Waz2WabmdmzZ4encbjhhhvMrbfeavr16xfXZ4RCIXP99denshkAAAAAgO5s9nnccceFB3Hp06ePufjii82aa65pXn311bg6s//000/mgQceMHPmzDHpoFrIc88917z11ls2GN1mm23MlVdeaefvAwAAAAA/S0ufPwVamt5h4sSJSb0/HaOAfvbZZ2b//fc3hx12mDn44INNTU2Nufbaa+36mTNnmvz8tA9sCgAAAAC9RsoR0YQJE8z9998fdzNPb83f3Llz7XvPOeecVDfDXHfddeall14yw4YNs/9XANja2hoOADVENgAAAAD4VUp9/pZbbjlz7733Jhz4ieYqWmWVVWxt4eabb57KZpi2tjZz2mmnhQM/19prr21rFYuLi1P6fAAAAADwdfB3+umn24lnU6W5AVMRDAZtX8No6vt3wgkn2CATAAAAAPwspWafF110UVo24tBDDzXppmagv/76q7ntttvier0GnRk7dqwdfTQQCHQYSAYAAAAAeoLiks5illGjRiX9uTk3Cspdd91lqqurzfvvv2//v/3225vHHnvMFBUVLXPQGgV+WqI1NjaaTNjzzkcz8r29wdCCoPm1pa3Hvu+xw/bqse/KFfPnz8/0JiAOfk6nbL7GBltbzOiodXvdcr9pyy/IyevTiD5B09v5+VzqLed2T+cdUpEL53Wy19lsS6fHMpQWsWISN2ZJRc4FfxroZZdddjFvv/22mTJlinnllVfMBRdcYKZNm9bl+0aPHm1r+BToLStQ7Clzm7PnwM9GPbl/suWY6G3Yb72DX9Mpm6+xBa1tHYK/X5rbTEsokJPpl81pEa9BgwblRFrkgq6Op95yrOXKsZTs/s6mdCrKUFpoHvVEagR7pM9fNlL/v5KSErPbbrvZwG+llVayNX8AAAAA4Gc5F/x5aTCaPfbYw9TX12d6UwAAAAAgo3I6+HOnlIg1EigAAAAA+EnO9fmL7ij58ssvmz/96U+Z3hQAAOLWEsw3b4za0D4e1if4v/5+wZy+ZQMAekBO1Pz9/PPPZujQoXagl88++yw88fukSZPMRhttZA477LBMbyIAAPHLyzMt+QV2aWv/q3UAAKQiJ4oRBw8ebLbeemvz7LPPmo033tg+Xm211czee+9tdtxxx0xvHgAAAABkXE4Ef3379jUPP/xwpjcDAAAAALJWTjT7BAAAAAB0jeAPAAAAAHwgJ5p9AgCQS/KckClavMA+7t8cMMWtIdPYfznj5FFmCwBIHsEfAABZJr+tzaz//ezw/1cxxk790JJP8AcASB53EQAAAADwAYI/AAAAAPABgj8AAAAA8AH6/LULhUKmrq7ONDU1mcLCQlNcXGwXAAAAAMiUhoYGu0hLS4sJBoNJfxY1f+3q6+tNWVmZKS8vt3+rq6vTk1oAAAAAkCTFJYpPtNTW1tq4JVnU/LUrKSkxNTU1ETV/AAAAAJBJVVVVprKy0j6uqKhIqeaP4K9dIBAwpaWlprGx0RQVFaUnpQAAAAAgBd7uaAUFBal8FM0+AQAAAMAP6PMHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+wDx/AABkmdZgvqkpXdc+HloQNL+2tNl1AACkgjsJAABZxsnLM4v6DrCPm/sEzaJAW6Y3CQCQA2j2CQAAAAA+QPAHAAAAAD5A8AcAAAAAPkCfv3ahUMjU1dWZpqYmU1hYaIqLi+0CAAAAAJnS0NBgF2lpaTHBYDDpz6Lmr119fb0pKysz5eXl9m91dXV6UgsAgATlOY4ZsHSRXfos+d9frQMA+E91dbWNT7TU1tbauCVZ1Py1KykpMTU1NRE1fwAAZEJ+W6vZtG5m+P9lxpg3Rm1oWvILSBAA8JmqqipTWVlpH1dUVKRU80fw1y4QCJjS0lLT2NhoioqK0pNSAAAAAJACb3e0goLUCgFp9gkAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPpCf6Q3IFqFQyNTV1ZmmpiZTWFhoiouL7QIAQE9rDQbNRyuvbR8vnx8wv7eG7DoAgP80NDTYRVpaWkwwhfsBNX/t6uvrTVlZmSkvL7d/q6ur05NaAAAkyMkLmIYBhXZZvFyR/at1AAD/qa6utvGJltraWhu3JIuav3YlJSWmpqYmouYPAAAAADKpqqrKVFZW2scVFRUp1fwR/LULBAKmtLTUNDY2mqKiovSkFAAAAACkwNsdraCgIJWPotknAAAAAPgBHQgAAAAAwAdo9gkAQLZxHFPQ1mofBgMhU9DaZlqC+cbk5WV6ywAAvRjBHwAAWUaB37g5H4T/P9oY88aoDU1Lfmp9PQAA/kazTwAAAADwAYI/AAAAAPABgj8AAAAA8AGCPwAAAADwAYI/AAAAAPABgj8AAAAA8AGCPwAAAADwAYI/AAAAAPABJnlvFwqFTF1dnWlqajKFhYWmuLjYLgAAAACQKQ0NDXaRlpYWEwwGk/4sav7a1dfXm7KyMlNeXm7/VldXpye1AAAAACBJiksUn2ipra21cUuyqPlrV1JSYmpqaiJq/gAAAAAgk6qqqkxlZaV9XFFRkVLNH8Ffu0AgYEpLS01jY6MpKipKT0oBAAAAQAq83dEKCgpS+SiafQIAAACAH9DnDwAAAAB8gGafAABkmdZA0MwaOdo+Ls4PmIbWkF0HAEAqCP4AAMgyTiBgfh1UYh/n9wmaX5vbMr1JAIAcQLNPAAAAAPABgj8AAAAA8AGCPwAAAADwgZwK/p5++mmz5ZZbmv79+9u5+vbYYw8ze/bsTG8WAAAAAGRczgR/zz//vNl3333NkCFDzG677WYGDhxonnjiCTNu3Djz7bffZnrzAAAAACCjcmK0T8dxzLnnnms+/PBDs8Yaa9h1CxcutMHgM888Y66++mpTXV2d6c0EACAuBa0tZtycD8L/X9MY88aoDU1LfgF7EADg75q/d955xxx77LHhwE9U8zd16lT7+PPPP8/g1gEAAABA5uVEzd+oUaPMRhtt1GH96quvbv+OHDkyA1sFAAAAANkjJ4K/oUOHxlw/b948+3evvfbq4S0CAAAAgOySE8FfV6N/brLJJmbChAnLfO2cOXPM2LFjTSgUMoFAZGvYWbNmdeNWAgAAAMD/U1zSWcyiVo/Jytngb+nSpeamm24yt99+e4dgrrNBYxT4aYnW2NhoMmFEn2BGvrc3GFrQs/tm/LW3m97uscN6tgZ8/vz5Pfp9vcmedz5qsulc+rWlLeuPJ79dY4OBjveiYX2Cpi0/mDX3KL+khd+uedl0fUr38dTTeYdU5MJ5ney5nW3p1JihtIgVk7gxSypyNvg7//zzzV//+tdOo+Zoo0ePtjV8SmDNEZgN5jYnniHzE/ZPYjJxXGfLuZRtsu3YTWZ7ciFtsy0dvApa28zoqHW/NLeZllDHwkzSIjsMGjSItOgFsvm8z7XzOpX9nU3pVJShtOhsrvJ4Y5ucHu0z2vXXX2/WXXdds+uuu2Z6UwAAAAAgK+Rc8HfPPffYZp6HHXZYpjcFAAAAALJGTgV/06dPN3PnzjXHH398xPpFixaZyy+/PGPbBQAAAACZlp9LI3sq6Ntuu+3MQQcdFNFZ8r333jM33nhjRrcPAAAAADIpJ4K/d955x+yzzz5m8eLF5v777+/wfGlpqdl+++0zsm0AAAAAkA1yIvjbbLPNbNNOAAAAAIAP+vwBAAAAAGIj+AMAAAAAH8iJZp8AAOSStkDQfLnCqvZxUX7ANLaG7DoAAFJB8AcAQJYJBQLmp8HD7WOnT9DMbW7L9CYBAHIAzT4BAAAAwAcI/gAAAADABwj+AAAAAMAH6PPXLhQKmbq6OtPU1GQKCwtNcXGxXQAAAAAgUxoaGuwiLS0tJhhMfgAwav7a1dfXm7KyMlNeXm7/VldXpye1AAAAACBJiksUn2ipra21cUuyqPlrV1JSYmpqaiJq/gAAyISC1hazSd0n4VLaMmPMu6XrmZb8AhIEAHymqqrKVFZW2scVFRUp1fwR/LULBAKmtLTUNDY2mqKiovSkFAAASerT1sq+AwAYb3e0goLUCgFp9gkAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPpCf6Q3IFqFQyNTV1ZmmpiZTWFhoiouL7QIAQE9rCwRMXcmK9vFywTyzoM2x6wAA/tPQ0GAXaWlpMcFgMOnP4k7Srr6+3pSVlZny8nL7t7q6Oj2pBQBAgkKBoKkbspJd6oetYv9qHQDAf6qrq218oqW2ttbGLcmi5q9dSUmJqampiaj5AwAAAIBMqqqqMpWVlfZxRUVFSjV/BH/tAoGAKS0tNY2NjaaoqCg9KQUAAAAAKfB2RysoKEjlo2j2CQAAAAB+QJ8/AAAAAPABgj8AAAAA8AH6/AEAkGXy21rNBt999r/Hecas5Bjz4SpjTGuQ2zYAIHncRQAAyDJ5jmMGNi8O/79v+zoAAFJBs08AAAAA8AGCPwAAAADwAYI/AAAAAPABgj8AAAAA8AGCPwAAAADwAYI/AAAAAPABgj8AAAAA8AHm+WsXCoVMXV2daWpqMoWFhaa4uNguAAAAAJApDQ0NdpGWlhYTDAaT/ixq/trV19ebsrIyU15ebv9WV1enJ7UAAAAAIEmKSxSfaKmtrbVxS7Ko+WtXUlJiampqImr+AAAAACCTqqqqTGVlpX1cUVGRUs0fwV+7QCBgSktLTWNjoykqKkpPSgEAAABACrzd0QoKClL5KJp9AgAAAIAf0OcPAAAAAHyAZp8AAGSZUCBgfixewT4eEAiYRaGQXQcAQCoI/gAAyDJtgaCpHVZmH4/oEzRzm9syvUkAgBxAMSIAAAAA+ADBHwAAAAD4AMEfAAAAAPgAwR8AAAAA+ADBHwAAAAD4AKN9AgCQZfLbWs06P35pH/cJ5JlhIcd8uuIapjXIbRsAkDzuIgAAZJk8xzHFi+eH/z+gfR0AAKmg2ScAAAAA+ADBHwAAAAD4AM0+24VCIVNXV2eamppMYWGhKS4utgsAAAAAZEpDQ4NdpKWlxQSDwaQ/i5q/dvX19aasrMyUl5fbv9XV1elJLQAAAABIkuISxSdaamtrbdySLGr+2pWUlJiampqImj8AAAAAyKSqqipTWVlpH1dUVKRU80fw1y4QCJjS0lLT2NhoioqK0pNSAAAAAJACb3e0goKCVD6KZp8AAAAA4Af0+QMAAAAAHyD4AwAAAAAfIPgDAAAAAB8g+AMAAAAAHyD4AwAAAAAfyMngb/78+eaCCy4wH3zwQaY3BQAAAACyQk7N89fc3Gyuv/56c/HFF5vffvvNbLfddpneJAAAEhbKyzPzllvePu4fyDOLQ45dBwBAKnIq+Js5c6Y56KCDzIcffmhuv/32TG8OAABJaQvmm89WXN0+HtEnaOY2t7EnAQApy6ngb6ONNrJ/S0tLM70pAAAAAJBVcrLPHwAAAAAgEsEfAAAAAPhATjX7TMWcOXPM2LFjTSgUMoFAZEw8a9asjG0XAAAAAH8ZO3ZspzHLqFGjkv5cgr92juPYwE9LtMbGRpMJ6uSP2IYWsG8S1dPHsaZc6Q573vmo6e2y6dxO9lzK1HUxV9MhlTQaf23vH+Cst6RFJq55PS0X0iIX8g65cF4nezxlWzpl6n4XKyZxY5ZUEPy1Gz16tK3hUwIXFRWZbMDobuyfdMrEcd0d38l5YbJin2bLdTJXj6VgW6tZ8+dv7OOCQJ4ZHHLMF8PL7CigyE6DBg3ivOgFsvm8R3amU1GG7nezZ89OqEYwXtxFAADIMgHHMSss+D38/0HGmFqn1GRPdggA0Bsx4AsAAAAA+ADBHwAAAAD4AMEfAAAAAPhATgZ/8+bNs38XL16c6U0BAAAAgKyQUwO+zJw500yfPt3ccccd9v/nnXee+fbbb82+++5rhg4dmunNAwAAAICMyangb91117XLBRdckOlNAQAAAICskpPNPgEAAAAAkQj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADAB3Jqnr9UhEIhU1dXZ5qamkxhYaEpLi62CwAAPc3JyzMN/QfZx30CeaY55Nh1AAD/aWhosIu0tLSYYDCY9GcR/LWrr683ZWVl4R0zefJkM2XKlFTTCgCAhLUG881Hq4yxj0f0CZq5zW3sRQDwqerqanPhhReG/z906NCkP4vgr11JSYmpqamJqPkDAAAAgEyqqqoylZWV9nFFRQU1f+kQCARMaWmpaWxsNEVFRWn5TAAAAABIhbc7WkFBQUqfxYAvAAAAAOADBH8AAAAA4AMEfwAAAADgAwz4AgBAlgmG2sxqv35nHw8IBMxyoZD5eugqpi2Q/PDeAAAQ/AEAkGUCoZBZsWFe+P+DjTF1JSsR/AEAUkKzTwAAAADwAYI/AAAAAPABgj8AAAAA8AGCPwAAAADwAYI/AAAAAPABgj8AAAAA8AGCPwAAAADwAeb5axcKhUxdXZ1pamoyhYWFpri42C4AAAAAkCkNDQ12kZaWFhMMBpP+LGr+2tXX15uysjJTXl5u/1ZXV6cntQAAAAAgSYpLFJ9oqa2ttXFLsqj5a1dSUmJqamoiav4AAAAAIJOqqqpMZWWlfVxRUZFSzR/BX7tAIGBKS0tNY2OjKSoqSk9KAQAAAEAKvN3RCgoKUvkomn0CAAAAgB/Q5w8AAAAAfIBmnwAAZBknL88s7NPfPs7PM6bV+d86AABSQfAHAECWaQ3mm3fL1rOPR/QJmrnNbZneJABADqDZJwAAAAD4AMEfAAAAAPgAwR8AAAAA+ADBHwAAAAD4AMEfAAAAAPgAo30CAJBlAqE2s8rvc+3j5YJ5pm+bY75bfoQJBYKZ3jQAQC9G8AcAQJYJhkKmtP7H8P+HGGN+LB5G8AcASAnNPgEAAADABwj+AAAAAMAHaPbZLhQKmbq6OtPU1GQKCwtNcXGxXQAAAAAgUxoaGuwiLS0tJhhMvv83NX/t6uvrTVlZmSkvL7d/q6ur05NaAAAAAJAkxSWKT7TU1tbauCVZ1Py1KykpMTU1NRE1fwAAAACQSVVVVaaystI+rqioSKnmj+CvXSAQMKWlpaaxsdEUFRWlJ6UAAAAAIAXe7mgFBQWpfBTNPgEAAADAD+jzBwAAAAA+QPAHAAAAAD5A8AcAAAAAPkDwBwAAAAA+QPAHAAAAAD5A8AcAAAAAPsA8fwAAZKHmYH64lDaU6Y0BAOQEgj8AALJMS36BeXP0RvbxiD5BM7e5LdObBADIATT7BAAAAAAfIPgDAAAAAB8g+AMAAAAAH6DPX7tQKGTq6upMU1OTKSwsNMXFxXYBAAAAgExpaGiwi7S0tJhgMJj0Z1Hz166+vt6UlZWZ8vJy+7e6ujo9qQUAAAAASVJcovhES21trY1bkkXNX7uSkhJTU1MTUfMHAEAmBEIhM7xxnn1clB8wea0h83PRCiYUoMwWAPymqqrKVFZW2scVFRUp1fwR/LULBAKmtLTUNDY2mqKiovSkFAAASQiG2swa874N/3+YMebXQSUEfwDgQ8We7mgFBQUpfRZFiAAAAADgAwR/AAAAAOADBH8AAAAA4AMEfwAAAADgAwR/AAAAAOADBH8AAAAA4AMEfwAAAADgAzk1z58maJ88ebJZsGCBnfywrq7O/n+LLbaI6/1jx441oVDIzJ49u9u3Fcmrm3q++SHPmJUmXsRuzFKcS70D5xKQvnNp85suJ/+Qxbje9Q6kU/fLmeBPAd/WW29tNtlkE3PTTTfZdc8995wZP368efHFF824ceMyvYkAAAAAkDE5E/ydf/755pNPPjEzZswIr9txxx3N5ptvbo488kjz2Wefmfz8nPm5AAAAAOC/Pn+LFi2ytX3rrruuWWmllSKe22233UxtbW1EUJgNGhoazJQpU+zf7tS2eJH57ZnH7N9c+J6elIv7rqeOu57Sk/suF4+HntJTx11PHt+5lk6cS71DruUdevq7ekIu7rtcS6Oe/E3ZmO/KieCvpqbGLFy40PYziqaAUJ588kmTTXQQXHjhhd1+MIQWLzK/P/u4/ZsL39OTcnHf9dRx11N6ct/l4vHQU3rquOvJ4zvX0olzqXfItbxDT39XT8jFfZdradSTvykb8105Efx9/vnn9u+IESM6POeumzVrVo9vFwAAAABkizzHcRzTy11yySXmz3/+s/nLX/5iLroocgRINflcY401zJprrhkOEqMNGjTI1hy6+vTpE/H8qFGj0r7NLS0tdttWX311U1BQEPM1X9WnXkrgtLWalt/mmYIhK5i8YPf1eeyp7xF9j8kzpqBkhW79nlzbd6NLiuM67tJhzpw5RpeW0aNHp/2zvedFTx53uXY8pHou6XiK+3t66LhL9HtSucZ2dzrlOY4Z0LIkYt2ign7Gycsz3YFzKTX2WAgGuuWa19Pnks6LXDweci3v0JPf1VvuS931m0YncL9L5zmrvFQszc3NZuDAgWb+/PlJbVNOjIDSt29f+zcvxk0xEPhf5WZXMa52oPoNdmemJJqmohg6dKj92x0Hm0tTV9TnOaakZPnwvugOPfU9Vhr2i1/3XTzHXTp0R4FJrPOiJ/ddLh4PPXUu9dRxl+j3pHKN7dF06gGcSynKoXNJ50UuHg+5lnfoye/KxftSqId+U3ecs4p3FLskKyeCv+HDh9u/ixcv7vCcgjpZfvnlO33/zz//3I1bBwAAAACZ1/uLK40xq6yySqdBnLtuzJgxPb5dAAAAAJAtciL423TTTW2/Pc3lF23mzJn27w477JCBLQMAAACA7JATwZ8GaDn88MPNRx99ZH755ZeI55566inb1nbvvffO2PYBAAAAQKblRPAnf/3rX23zT82l4XrllVfMSy+9ZP75z3+afv36ZXT7AAAAACCTcmKqB5dq/TTlw5IlS0xxcbH56quvzJlnnmkqKioyvWnIIjo+3nzzTfPNN9/YY2PllVfO9CYBAAAgDr/99pt56623zLx582zLv54crT8X5FTwB3Tlhx9+sHNBfvrpp2bixIm2KXD0nI7IDpMnT7Y19y+//HKmNwUA4APKDm+33XZmm222MVOmTMn05iCGt99+2+bj1JrvnHPOMePGjYs5zRt8MNVDKnN8XH/99ebVV181w4YNM7NnzzZ//OMfTWVlZVzv//jjj82VV15pCgsLTWNjo6mrqzPHH3+8OfTQQ7t92/0k1XSSF1980ey111424FOtH0Ff9qWRS313//73v9uLOrIrnZ5++mnbxP7DDz+055AySZdddplZe+21SaokNDU12YKOBQsW2DmgdA/R/7fYYotlvlctW5QJ0lRHKv1WxvWqq64yI0aMIC2yII2UHtOmTbPnm1qZlJSU2HvQpZdeaoqKikijLEijaNddd50tcNR1DdmXTpdffrlt3VddXW1OPvlkkigVjo8dffTRzrrrrussWrTI/v+nn35yhgwZ4kydOnWZ733zzTedwsJCZ+bMmeF1X3zxhTNgwADnlltu6dbt9ptU0klee+01p0+fPs5ee+3lhEKhbt5af0o1jVzNzc3OzjvvbN+7zTbbdNPW+lcq6fTcc8/Z69vuu+/u7Lvvvs6IESPUasQZPHiwU1dX1wNbn1vmz5/vlJeXO8ccc0x43bPPPmuvVa+//nqX7/3000/t/eeuu+4KrzvvvPOcVVdd1Zk3b163brefpJJG559/vjN8+HDngAMOsNc0nTs6XzbZZBOntbW1B7beH1JJI6+vv/7a2WKLLWwaTZ48uZu21r9STSfdo5Q2V111VTdvqT/4Nvh79NFH7YF09913R6y/4IILnIKCAqe2trbL9x900EHORhtt1GG9MkabbbZZ2rfXr1JNp6amJmfFFVd0ioqKyBRlaRp56aarz1MmluAve9JJhSYbb7yxLeByLViwwNlpp53sZ55++ulp3trcV1VV5eTl5Tnff/99xPqtt97aWX311Z2WlpZO37vBBhs4a6yxRsQ6pYcCjMrKym7bZr9JNo10Lm211VY2TVwqING9SOfL9OnTu33b/SKV88h7fdtzzz2dV199leAvC9OppqbGyc/Pd8aNG9ddm+c7OTPaZ6JUbSw777xzxPrddtvNtLS0mGuvvbbL98+fP99WWWvwkOhmVciedFKTmx9//NE2a9OUH8i+NPI291TzqD333JNkyrJ0euedd8yxxx5r1lhjjfC6gQMHmqlTp9rHn3/+OWmWgEWLFpmbbrrJrLvuumallVbqkB61tbVmxowZMd+rvrBqdhudjkoPNVe766677GAIyFwaTZ8+3dx44402TVyrrrqqmTRpkn3M+ZL5NPLSiPC77rorg79laTqpaWhra6s566yzumsTfceXwd/SpUttvy/1jVh++eUjntPBKU8++WSXnzF+/HhTX19vTjvtNNu2X5RxVd+yU045pRu33j/SkU533HGH/av377jjjnYU2CFDhpijjjqKDFKWpJEo+Dj77LNtH1pkXzqNGjXKHHnkkR3Wr7766vbvyJEj077NuaympsYsXLjQjB07tsNzy0oPTV8knb1XmaRnn3027dvsN6mk0SGHHBKzHyznS/akkUuF+M8995w57rjj0rx1SEc6/frrr7aveX5+vh3Rf8MNNzQDBgwwpaWltv95W1sbOzoJvgz+FKQ1NzfH7Bjfv39/2xl7zpw5NsPUGQV4W265pS3NUFDx0EMP2YFeFGww4Et2pJOC81mzZoVralUi/u2339rS13//+992mgd9PjKXRi4N8KKaJQXmyL50Uq15rKG0NdCIaCALxM+t+YmVHu4699qVzveiZ9JoxRVXjLle54sGSlItE1KX6rmggvvTTz893CoC2ZdOr732mk0nDRCjmnS1fPjiiy/sIDGqEVT6IXG+DP7++9//2r8qPYhFB5iab7qvi0XDzD7zzDNml112MS+88ILZf//9zU477WT23Xffbttuv0k1nTS1g6yzzjp2lCiNbqhMroK/gw8+2Daduu+++7rxF+S+dJxLGjX3yy+/NPvtt1+3baffpSOdYlGJ7CabbGImTJiQlu30i67Sw20qqMKrdL8XPZNGXZ0vp556KoVcWZJG//rXv2whsGqRkJ3p9P3339u/xxxzjK1YGTRokG2eq4qWVVZZxXbtUe0tEuPL4K9v3772b2dzgwQC/9sty5oCsaGhwZamn3jiibY0T6UQ6q8U3Q8QmUkntTOXWE0N3EDj+eefJ3kymEZuO/6rr76adOgF1zwv1RKq5YNq0d33I/X0WFZapPJexC/d+1m1FerbpKZqyHwaKWD4z3/+Y0466SSSI4vTyc3HqRDfSy1RlN9WoaW6WyExOXHH1mAeOqjiXTQvkixevLjTg02vGzx4cKffqeaDm2++uZ3XT52F33//fdvG/4knnqAaOkvSyX1/rAuOO3DFzz//3Gka+1FPp5HmvFKNuQpRVFPrLmrHr+BCj0mjzKdTLOeff77NyMYqXEHXukoPN7MT3TczHe9F/NK5n3UtO/fcc83DDz/cae07ejaNTjjhBFvwqAHh3PuOe6/RfHT6f6ItIZD+dCIf1z1yYpJ3VQdrAJZ4rbDCCrbZZqxMpTKhOuHLysrsazpzwQUX2MySmnu6pRJqi7zBBhuYW265xfztb3+jaUeG00n9LlQ6pE7CnZVEdZXGftTTaaSaV503EydO7PCcbr5q3qFR8mjWkdl0iqamNuqoT9+l5Ki5ksRKD3fdmDFj0v5e9EwaealG409/+pO58MIL7bUM2ZFG6rajJRa1RNFyxBFHmNtuu40ky2A6uU1yycelV04Ef1tttZVdErH11lvbEZ5UwlNYWBhe/+mnn9qL9Q477NDl+999990OQ9ZqUATVBCow1OAJDF6R2XRSU1zVKr399tv2td4aQHcodDJJmU2jSy65JGZb/6OPPtoGLHqekvLsuOa57rnnHttU57DDDkvo+/H/Nt10U9t35bPPPuuwW2bOnGn/dpYe22+/va117ey9us5tt9127O4MppGXRjFWTb07qiGyI43USivWgDy692hMAI3YqsJHZDaddJ9TraDGBohGPi4Fjk89+OCDdjJP/fW6+OKL7fp33303vO7bb791HnjgAae1tTW8ThNQDx8+3E4O6lVdXW3fHz2RJTKTTvq/XvfKK69EvH/atGl2wtEPP/yQpMlwGsXCJO/ZmU6PPPKIc8UVV3T47IULFzpTp07thq3OXSeffLITCAScn3/+OWL9Djvs4AwdOtRZvHhxeILjl156KeI166yzjjN27NiIdYsWLXIGDRrkTJgwoQe23h9SSSM577zzYq7//PPPnXvuuacbt9w/Uk0jr2+++YZJ3rMwnU466SR7bZs/f37E+r333tsZNmyYs3Tp0u7a7Jzl2+BP9txzT2eDDTYIH3S//PKLPZBOO+20iNdtttlm9oJw4403htc988wzTjAYdP7xj3+E1+lzNt54Y6eysrIHf0XuSyWdFJzvuOOOzqabbmozqKLPUcbpzDPP7OFfkrtSSaNYCP6yL52eeuope5M+8MADI5b999/fKSsrc5577rlu2urcVF9f75SWljonnnhieN3LL79s7ytugN7Q0OD06dPHFlQpYHC98cYbTr9+/Zz7778/vO7CCy90Bg8e7Hz11Vc9/EtyVyppdP755zujR4/ucL7stddezsiRI53GxsaM/KZck0oaRSP4y850mjdvnjNixAjnlFNOCa+rra11BgwY4Dz66KPduNW5K0//GJ/SxNJqVqYmnOrvorlIdt99dzuHn7eJoOYRufPOO20zgXHjxkVMXKl2/Oono2kE1HZZVdeaLFQTUiI70kmjr6oprpp/alAeTRqqplMa5auz0Q/Rs2kUq52/lpdffpmkyIJ0euedd8y2227b6YAxSquvv/6a8ylB6sfy5z//2V6jiouLzVdffWXOPPNMO/y8Oxqu5pPVyNJKA++APO+9954dcGfkyJH2/QsWLLBp604kjsyl0T/+8Y8uB347/PDDze23304SZTCNYlHfcl0XNXL7lClTSJ8sSqfvvvvONqFubGy0fQjnzp1rp02Jt7sCIvk6+AMAAAAAv8iJqR4AAAAAAF0j+AMAAAAAHyD4AwAAAAAfIPgDAAAAAB8g+AMAAAAAHyD4AwAAAAAfIPgDAAAAAB8g+AMAAAAAHyD4AwAAAAAfIPgDAAAAAB8g+AMAAAAAHyD4AwAAAAAfIPgDAAAAAB8g+AMAAAAAHyD4A4AcNn/+fHPfffeZ//znP5nelJywcOHCTG8CAABJI/gDgCx3xRVXmEGDBpnLLrss7vfMmDHDbL/99mbIkCHm4IMPNu+++263bmMumzlzprnqqqvMtttua8rLyzO9Ob44ftPx3p5UWVlp8vLy7DJq1Ciz8cYb2+Xbb781vU1zc3N4+9daa63w7xo/fnymNw1AGhD8AUCWu+2228yCBQvMnXfeGfd7dt11V3PPPfeYwYMHd+u25brnn3/e3H333ebKK680L7/8smltbc30Jvni+E3HezPhwAMPNHPmzDHvvfeeXVZddVXT2/Tp0ye8/Z9//rk5+eSTM71JANKI4A8AEvDpp5+ahoaGHt1nZ511lllnnXXM2WefHfd7AoGAGTZsmFljjTWMn6WaXjvssIO59NJLzZ/+9Ke0bpefxHP8dpZOyRz7maSaslyz0UYbZXoTAKQRwR8AxGnJkiXmkEMO6fHgT03K1PTwsMMOS/i9CgL9Kp3ppeaz6J7jt6t0SuXYR3qoySeA3OHfXAEAJOi0006zGVH0DqRX70A6AUDPIfgDgDhccMEF5qabbmJf9RKkV+9AOgFAzyL4A5C1fvnlF3PmmWeaTTbZxI48t+aaa9pmYBqEIJbXX3/d7L///uYPf/iDKSkpMWPGjDF///vf7eh1Xvr/vffea7beemvz1FNPmVAoZAf00Ch9/fv3t6NkatAG16233moeffTR8P/32GMPuz177713eJ0GApk+fbrZaaedzGeffWa+++47219s4MCB5vTTT4/4fj2n2o4tttjCfs4KK6xgR9LTwCKO43T4XU1NTeb22283xx57bKf76rfffrOfufbaa5sNNtjAbLnllnZ7cimNFy1aZKqrq+1+GzdunBk+fLjtj3THHXdEvC6e9Ir3sxKRaLqKmjqqP+H6669vj1el3/nnn28/K1H6jldffdU2kaypqTG///67HaxjxIgR9jjUefHiiy+mbdtVC659u+mmm5qysjLbxFhNBLVf4zl+40mneI79RLc90fM/Vfq+l156yZxzzjn23Jw8ebIdxEZ/dbz369fPDgxz/fXXh9/z4IMP2tFli4qK7KBNOkba2to6fHaix3G8aQYghzkAkIXefPNNZ4UVVnCuuuoqp6Wlxa578cUXlZNz+vXr57z66qsRr582bZozbtw455dffrH/X7BggbPzzjvb12+//fZOc3OzXf/www87a6+9tl2v5ZFHHnF23313Z9CgQc6wYcPC68vLyyM+/5tvvgk/p8del156qbPmmmuGn3/99dedMWPGOEVFRfb//fv3D7/2ySefdJZbbjnnz3/+c/h3zZ0719lhhx3sa/fdd19n6dKldv3777/vHHjggU7fvn3tc6uuumrMffXll186I0eOdPbaay+nsbHRrvv111+d7bbbLvzeyZMnO705jefPn++sv/76Np0+//xzu06/dYsttrCvv/baa+NOr0Q/S/797393mQaJpKvr999/t8fJrrvuGn7uhhtuCG/3qFGjnM0228w58cQTl7kvL7/8crtt7nvvvPNOp7S01Bk8eHDEcR0MBp3p06envO21tbXOwIEDnerq6vC6N954w1l++eWdq6++Ou7jt7N0ivfYT3Tbkz3/l+WII47o9Dz75JNPnFtuucUpLi62r9Hv2mmnney+e++995xbb701/Dvvv/9+59BDD3X+8Y9/2H2gtFpppZXsc1OnTk3pOI4nzWJxj/1tttkmoX0CIDsR/AHIOl9//bXNKE2aNKnDc2VlZTYjokDH9corrzh9+vSx74vOdLmZOWWwvJkmN7OlzLeCNzeDqEya+x5v8NFVMCFfffVV+Pkdd9zRmTVrlg1E99lnH+fkk0+2r/nss8+cAQMGOBtvvHGH9y9atMhZbbXV7PtPPfVUu87dptNOO63TDLDet8YaazhDhw61j73mzZtnA89sDP4STeN//etfdp2CbK977rknHCh5dZVeiX7WsoK/RNPVdcwxx9j1Cni9Nt1003DgEq+2tjabkXd/s46J//znP+HnFeQooNZzQ4YMCRcSJLvt5513nl2vQhava665JhxIxHP8dpZO8bw32W1P5vxPJfhz6VrgHnf19fURzx122GH2OW1XTU1NxHPuNq211lopHcfxpFksBH9AbqHZJ4Cso+ZR8+fPt8O8Rzv33HNtUyg1qXSdd955ZsMNN7TNmLzWXXfd8CiNakblWm655czQoUPt48MPP9wOI6+5reTII480K664on08e/bsuLfZ+9277767bcKn5mcPP/ywufbaa+16NedTM61jjjmmw/vV3EzPyz//+U/b7MzdpvXWW6/T7502bZr58ssvzVFHHWU/w0u/UcPk50Iaq9miRP9GNWmU77//Pu7vTudnJZOu0tLSYpseykorrRTxnkMPPTTcjDlear632Wabhf//t7/9zc716FJTSvWvc5sIP/DAA0lvu7gjc0Zvo5qcusdtPMdvZ+J5b7Lb3h3nfzw0Wb1svvnmZvnll494Ts1BRc021QQ61nNffPGFWbx4cdLHcTxpBiD3EfwByCoKCNQPSPPTuRk0L/X9USbGnXj4559/tpmZr776ymaqohdl9JSZU2bbKxgM2r+aC89L/V/ciZn12clMqaB+W9GUaZsxY4Z9rL5Fseyzzz72+9W3x9tfz93WWNxBaNSfK5YBAwaY3p7GbkD05ptvmhdeeCG8Tn21PvnkE/s4ul9nV9L5WcmmqwKwhQsXhh97lZeX27///e9/TSK8x0msqSm0X/v27Wsfv/HGGykdk+ov505q/uSTT4bXK2g/6aSTOt2uRHX23lS2vTvO/1QVFxcv8zm11vIeE4kex4mkGYDclZ/pDQAAr/fee89mWjRgSzw+/PBD+7eiosIO8JAOBQUF4YxUutTW1pqlS5d2mdErLCy0NYhff/21mTVr1jI/86effrKvjVV7lCwNFKLakGQo0/zMM8+kPY1dGtRClAFW0KuBdWIFjz35Wcmmq2p+FGgoQ6/Bbdzt8QYk6UpTb0A4duxY88EHH5i5c+emdExqYKV77rnHPPbYY2a33XYz++23nx00xK01627dcT515/mfylx63ueiA7pEjuNMpxmA7EDNH4CsG/1RNBpePDSioTsqYDZTbZerq211a2zcWqGu/PDDD2mv4VMzOjUvS2aJd4TERNPYpcz+hRdeaEdU1Wimt912m83EJiNdn5VsuqoGzm2Wqe/2+vbbb8OZ9XRzA8r8/PyUjkkFJGpKfcIJJ9j/P/TQQ2attdaKGLGyt51PvVEix3Gm0wxAdiD4A5BV3OZYqg2Jp/md24yts+kfsoWGa3e5tXWxKFMu8dSKeWsm6uvrTTpoiPz2wcASXtT0tjvS2M3sb7PNNjaj+sQTT5itttoq6d+Yzs9KJV1VU6Mmwpqe4bLLLrPpqeauysxr2P6//OUvJt3cvl0KAlM9JlVDpn2oaQzUVFXBvJoPepvr9qbzqbdJ5jjOZJoByA4EfwCyymqrrWb/LlmyxDzyyCOdvk7NC9WPr7S01P5fgYeaLHbm6aeftkumqH+b+h9KV9v566+/2r/Rgz7E4m2u5TZ/zcU0dgeIeeedd8whhxzSoZ9WotL5WamkqwbmePvtt22fNQ0MpEGLVBuo5njKnLufm05ubbEChXQdkyowUFNSzZWn2iUNsKL55Hrb+dTbpHIcZyLNAGQHgj8AWUWTXWvEO9EofPPmzevwGmVSlFlWKbZKr91S/VNPPTXcD8hLzREnTpwYHvAgGW4/IIkePCYeqoHQQAuiwU5i1Xip345qMZSp9U503ZmVV145PNjFfffdZ3I1jcUdnTK6f5fbhFS8k2B3lV6JflZ3pauaK2p0STXFUwDz0Ucf2QE8NKG3d/vTRbU86vumWjMNhpLKtp955pkRzXY14NEZZ5xhDjjgAPt/9T3rzvOqO86n3ibR4zhdaQagdyP4A5BV1CRw0qRJ9vF3331n+7EoCNCIiBrg5OabbzZ77bWXmTx5cjjzeMopp9jHykCr78v7779vmyEqo3P//ffboE+ZHG+/uK4y924Aqc9waRAFd+CFH3/8scNrvRlX73DsXtpmZbxVG+FO/+Cl/jraLvd1LtWQeb/LS79L1HTQO52F+/q6urqIvpG9MY2ltbU1HOS6TVzVz1ADVrg0NL87QmNX6ZXoZ3nTNFaAkmy6HnTQQbbGWkGgMt5qBusu3m1ORqz0vv32221TwalTp4bPhWS3XX3oovsqilsD5dbuLuv4XdZ51dV7k932ZM7/dHB/S6zPdY+rWH0T3fdFN/VO9DhOJM0A5LBMTzQIALEmrNYE1+5ky95Fkzo/99xzEa9fsmSJM378+IjX5efnhx+fccYZEa9fuHBheJLnqVOnRjzX2trqrLDCCva5o48+OuK5cePG2fW77LKL8+677zpnn3228/bbb9vnNKG2+30nnniiEwqFYiasJqQvKiqyE24/9thj4fWa6HvgwIHOKaec0uG9hx9+uP3cvLw8Z/bs2RHP6bX777+/fV4T3U+ZMsV57733nKeeesrZdttt7WTfem7QoEH292ji+96Yxvvtt1/4ee27lVde2VlppZWct956ywkEAna99qt+77LSK9HP0gTgEyZMsOuDwaCdoD4d6arvjPX73WX48OHO9OnTE9qv7ns1KfrLL78cXq/HhYWFHc6FZLf9+OOPt8898cQT4XWzZs1ySkpKnAMOOCDu43dZ59Wy3pvMtid7/qcyybsmndek63qNJqXX8e91+umnh3/nBx98EHMydy0PPvhgeH2ix3EiaebFJO9AbiH4A5CVlAm79tprnfXWW89m1JZffnnnoIMOcj7//POYr1cAeMkllzhjx461r1ews9122zmPP/54xOteeOEFGxS5mabBgwc7kyZNcurr622mqaKiIiJDVVVV5fz3v/+17/3444+ddddd1wYnW2+9tX29bLTRRh0y7spAXnbZZTG39fvvv7cB4iqrrOKsvvrqzhZbbGGDi6effjridZdffrkzcuTIiM8tKChwdttttw776rrrrnPWX399u83K8Ok1NTU1zmmnnebss88+zs033+z89NNPTm9N419++cUGiwpgtG+PPfZYu07OOeccmyYKIrzv7Sy9Evms22+/3W6XNw20j/V5yaar9/XrrLOODXqUQdex6AYl7qL/19bWxr1P3fcpYNhpp53s52644YbONtts4zz66KOdvi/RbVcg4T3W1157baesrMwWPjQ3Nyd0/MZKp3jfm+i2p3L+Jxv8XXPNNU5xcXGH68Ott95qC2NWW221Dr9z9913t+/dbLPNIp5TULfmmmsmdU7Ek2axEPwBuSVP/2S69hEAAD9Rkz1N0q3BXbR46basZqbffPON7as6YcKEuCfhdptQasAYDeqBnlFZWWmb1aqJ6ZQpU3Jqt6upqPqmamTRl19+OdObAyBF9PkDAKCHaWh9TbQeHfi5AZz65GlCdgV9bt8uZL+enBgeAJJB8AcAQA/SIDea48+do7Irmog72Yns0fNee+21pEYDzmaffvpppjcBQBr9b/ZTAADQIxobG23Tzueee85UVVXZKUrcKTvc0R01J6XmXtO8f97nuuINOrwjRKL7Lb/88nbezdraWrPeeuuZoqIiu16jDa+66qq9Kgk0bYY7LY4eazRV/TaNzAqg96PPHwAAPUwTc997773h/2uuNgUQCgw1TUNhYaG57rrrzB//+Me4P/OFF14wO+ywQ3gC8EsuuaRbth0A0HsR/AEA0MNU8zd9+nTb/POTTz6xtSuqLVI/PzXzPPbYYztM3t0VDcbx+uuvR/Q5W3nllc0RRxxhLrroom76FQCA3obgDwAAAAB8gAFfAAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMAHCP4AAAAAwAcI/gAAAADABwj+AAAAAMDkvv8D0xAyslAuGhIAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "PASS: astrometric RMS 0.44 mas < 10 mas\n" ] } ], "source": [ "from photutils.centroids import centroid_com\n", "\n", "sel = cat[ok]\n", "sel = sel[np.argsort(sel['phot_g_mean_mag'])][:15] # 15 brightest isolated stars\n", "clean = field.image_clean\n", "h = 20\n", "resid_mas = []\n", "for s in sel:\n", " x0, y0 = int(round(s['x'])), int(round(s['y']))\n", " if not (h < x0 < clean.shape[1] - h and h < y0 < clean.shape[0] - h):\n", " continue\n", " cut = clean[y0 - h:y0 + h + 1, x0 - h:x0 + h + 1] - bg\n", " cx, cy = centroid_com(np.clip(cut, 0, None))\n", " resid_mas.append(((x0 - h + cx) - s['x']) * 16.87), resid_mas.append(((y0 - h + cy) - s['y']) * 16.87)\n", "\n", "resid_mas = np.array(resid_mas)\n", "rms = np.sqrt(np.mean(resid_mas ** 2))\n", "\n", "fig, ax = plt.subplots(figsize=(7, 4.5))\n", "ax.hist(resid_mas, bins=15, color=TEAL, alpha=0.85)\n", "ax.axvline(0, color='0.4', ls='--')\n", "ax.set_xlabel('centroid $-$ catalog position [mas]'); ax.set_ylabel('N')\n", "ax.set_title(f'Astrometric residuals: RMS = {rms:.2f} mas (plate scale 16.87 mas/px)')\n", "plt.show()\n", "\n", "assert rms < 10, f'astrometric RMS too large: {rms:.2f} mas'\n", "print(f'PASS: astrometric RMS {rms:.2f} mas < 10 mas')" ] }, { "cell_type": "markdown", "id": "1031506d", "metadata": {}, "source": [ "## 4. Photometric closure\n", "\n", "Aperture photometry (r = 40 px, annulus background) on both the noiseless and\n", "the noisy image, compared with each star's expected flux `rate_e_s x exptime`\n", "from the ETC chain times the fraction of the PSF the aperture captures. That\n", "fraction is measured the same way on the noiseless in-focus subarray of section\n", "1: the diffraction wings and the scattered-light halo put a few percent of every\n", "star's light beyond 40 px, so a raw aperture sum does not close on the total\n", "rate. With the aperture fraction taken out, the noiseless measurements should\n", "close to about 1% and the noisy scatter should stay inside the propagated noise\n", "envelope." ] }, { "cell_type": "code", "execution_count": 6, "id": "8b90f7cb", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:10:01.912553Z", "iopub.status.busy": "2026-10-12T14:10:01.912421Z", "iopub.status.idle": "2026-10-12T14:10:02.181386Z", "shell.execute_reply": "2026-10-12T14:10:02.181077Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "aperture fraction at r = 40 px: 0.9796\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "noiseless closure: median |resid| = 0.01% (n=34)\n", "noisy photometry: 100% of stars within 3 sigma of expectation\n", "PASS: photometry closes on the ETC prediction\n" ] } ], "source": [ "from photutils.aperture import CircularAnnulus, CircularAperture, aperture_photometry\n", "\n", "R_AP, R_IN, R_OUT = 40, 60, 90\n", "m = ok & (cat['x'] > R_OUT) & (cat['x'] < img.shape[1] - R_OUT) \\\n", " & (cat['y'] > R_OUT) & (cat['y'] < img.shape[0] - R_OUT)\n", "stars = cat[m]\n", "pos = np.c_[stars['x'], stars['y']]\n", "aper, ann = CircularAperture(pos, r=R_AP), CircularAnnulus(pos, r_in=R_IN, r_out=R_OUT)\n", "\n", "def measure(image):\n", " phot = aperture_photometry(image, aper)\n", " bkg = aperture_photometry(image, ann)['aperture_sum'] / ann.area\n", " return np.asarray(phot['aperture_sum'] - bkg * aper.area)\n", "\n", "# aperture fraction of the model PSF: same aperture + annulus on the isolated star of section 1\n", "sub = fields_focus[0]\n", "xs, ys = float(sub.catalog['x'][sub.catalog['source_id'] == star['source_id']][0]), \\\n", " float(sub.catalog['y'][sub.catalog['source_id'] == star['source_id']][0])\n", "ap1, ann1 = CircularAperture((xs, ys), r=R_AP), CircularAnnulus((xs, ys), r_in=R_IN, r_out=R_OUT)\n", "flux1 = (aperture_photometry(sub.image_clean, ap1)['aperture_sum'][0]\n", " - aperture_photometry(sub.image_clean, ann1)['aperture_sum'][0] / ann1.area * ap1.area)\n", "ee_ap = float(flux1 / (star['rate_e_s'] * EXPTIME))\n", "print(f'aperture fraction at r = {R_AP} px: {ee_ap:.4f}')\n", "\n", "expected = np.asarray(stars['rate_e_s']) * EXPTIME * ee_ap\n", "meas_clean = measure(field.image_clean)\n", "meas_noisy = measure(field.image_e)\n", "\n", "resid_clean = 100 * (meas_clean - expected) / expected\n", "resid_noisy = 100 * (meas_noisy - expected) / expected\n", "npix = np.pi * R_AP ** 2\n", "sigma_pct = 100 * np.sqrt(expected + npix * bg + npix * p['read_noise'] ** 2) / expected\n", "\n", "g = np.asarray(stars['phot_g_mean_mag'])\n", "fig, axes = plt.subplots(1, 2, figsize=(12.5, 4.6))\n", "axes[0].loglog(expected, meas_clean, 'o', color=TEAL, ms=5)\n", "lims = [expected.min() * 0.5, expected.max() * 2]\n", "axes[0].plot(lims, lims, color='0.4', ls='--', lw=1)\n", "axes[0].set_xlabel('expected flux [e$^-$]'); axes[0].set_ylabel('measured flux [e$^-$]')\n", "axes[0].set_title('Noiseless image: measured vs ETC expectation')\n", "\n", "order = np.argsort(g)\n", "axes[1].plot(g, resid_noisy, 'o', color=RED, ms=4, label='noisy image')\n", "axes[1].plot(g, resid_clean, 'o', color=TEAL, ms=4, label='noiseless image')\n", "axes[1].plot(g[order], 3 * sigma_pct[order], color='0.4', ls='--', lw=1, label=r'$\\pm3\\sigma$ (photon+sky+read)')\n", "axes[1].plot(g[order], -3 * sigma_pct[order], color='0.4', ls='--', lw=1)\n", "axes[1].set_xlabel('Gaia G [mag]'); axes[1].set_ylabel('residual [%]')\n", "axes[1].set_title('Photometric residuals vs G')\n", "axes[1].legend()\n", "plt.show()\n", "\n", "med = np.median(np.abs(resid_clean))\n", "frac_in = np.mean(np.abs(resid_noisy) < 3 * sigma_pct)\n", "print(f'noiseless closure: median |resid| = {med:.2f}% (n={len(stars)})')\n", "print(f'noisy photometry: {100*frac_in:.0f}% of stars within 3 sigma of expectation')\n", "assert med < 2.0, 'noiseless closure worse than 2%'\n", "assert frac_in > 0.9, 'too many noisy measurements outside 3 sigma'\n", "print('PASS: photometry closes on the ETC prediction')" ] }, { "cell_type": "markdown", "id": "169f1f7e", "metadata": {}, "source": [ "## 5. Noise statistics\n", "\n", "A source-free simulation should be pure sky, dark and read noise: pixel\n", "variance equal to (sky + dark) t + RN^2, with a near-Gaussian histogram at\n", "these count levels." ] }, { "cell_type": "code", "execution_count": 7, "id": "d9b0b2c0", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:10:02.183435Z", "iopub.status.busy": "2026-10-12T14:10:02.183305Z", "iopub.status.idle": "2026-10-12T14:10:03.628397Z", "shell.execute_reply": "2026-10-12T14:10:03.627927Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "mean: measured 1.50 vs expected 1.50 e-\n", "var : measured 10.79 vs expected 10.77 e-^2\n", "PASS: noise statistics match (sky+dark)*t + RN^2\n" ] } ], "source": [ "from astropy.table import Table\n", "from wcc_sim.catalog import _empty_table\n", "\n", "sky_field = simulate_field(ra=RA0, dec=DEC0, sensorfilter='zwo:r', focus=0,\n", " exptime=EXPTIME, seed=7, shape=(512, 512),\n", " catalog=_empty_table())\n", "pix = sky_field.image_e.ravel()\n", "lam = (p['sky_e_s'] + p['dark_e_s']) * EXPTIME\n", "var_exp = lam + p['read_noise'] ** 2\n", "\n", "fig, ax = plt.subplots(figsize=(7.5, 4.8))\n", "ax.hist(pix, bins=100, density=True, color=TEAL, alpha=0.85, label='sky-only pixels')\n", "xx = np.linspace(pix.min(), pix.max(), 400)\n", "ax.plot(xx, np.exp(-(xx - lam) ** 2 / (2 * var_exp)) / np.sqrt(2 * np.pi * var_exp),\n", " color=RED, label=r'Gaussian: $\\mu=(sky+dark)\\,t$, $\\sigma^2=\\mu+RN^2$')\n", "ax.set_xlabel('pixel value [e$^-$]'); ax.set_ylabel('density')\n", "ax.set_title('Source-free image vs analytic noise model')\n", "ax.legend()\n", "plt.show()\n", "\n", "print(f'mean: measured {pix.mean():.2f} vs expected {lam:.2f} e-')\n", "print(f'var : measured {pix.var():.2f} vs expected {var_exp:.2f} e-^2')\n", "assert abs(pix.mean() - lam) < 0.05 * max(lam, 1), 'mean off'\n", "assert abs(pix.var() - var_exp) < 0.10 * var_exp, 'variance off'\n", "print('PASS: noise statistics match (sky+dark)*t + RN^2')" ] }, { "cell_type": "markdown", "id": "1f76e792", "metadata": {}, "source": [ "## 6. Saturation flags\n", "\n", "Bright stars overfill the detector wells. The pipeline flags the affected\n", "pixels in the `SATMASK` extension and each affected star in the catalog.\n", "`plot_image()` works on any array; here it shows a cutout of the ADU image\n", "around the brightest saturated star with the matching slice of the mask drawn\n", "as a contour." ] }, { "cell_type": "code", "execution_count": 8, "id": "5dca5cd7", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:10:03.630255Z", "iopub.status.busy": "2026-10-12T14:10:03.630089Z", "iopub.status.idle": "2026-10-12T14:10:03.786927Z", "shell.execute_reply": "2026-10-12T14:10:03.786643Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "14 saturated stars in frame; brightest G=14.71\n" ] } ], "source": [ "from wcc_sim.plotting import plot_image\n", "\n", "sat_stars = cat[np.asarray(cat['saturated'], dtype=bool) & inside]\n", "if len(sat_stars):\n", " s = sat_stars[np.argmin(sat_stars['phot_g_mean_mag'])]\n", " x0, y0 = int(round(s['x'])), int(round(s['y']))\n", " h = 60\n", " sl = np.s_[max(y0-h,0):y0+h, max(x0-h,0):x0+h]\n", " ax = plot_image(field.image_adu[sl], satmask=field.saturation_mask[sl], percent=99.9)\n", " ax.set_title(f\"G={s['phot_g_mean_mag']:.1f} star, saturated pixels outlined\")\n", " plt.show()\n", " print(f\"{len(sat_stars)} saturated stars in frame; brightest G={s['phot_g_mean_mag']:.2f}\")\n", "else:\n", " print('no saturated stars in this field/exptime')" ] }, { "cell_type": "markdown", "id": "62ecbd1b", "metadata": {}, "source": [ "## 7. FITS round trip\n", "\n", "The multi-extension file written by `field.write()` must come back with its\n", "four extensions, and the catalog table must hold as many rows as the `NSRC`\n", "header card says." ] }, { "cell_type": "code", "execution_count": 9, "id": "65b50b87", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T14:10:03.788605Z", "iopub.status.busy": "2026-10-12T14:10:03.788470Z", "iopub.status.idle": "2026-10-12T14:10:03.830822Z", "shell.execute_reply": "2026-10-12T14:10:03.830495Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "extensions: ['SCI', 'SATMASK', 'CAT', 'CLEAN']\n", "CAT rows 7 | NSRC card 7 | WCS RA---TAN, DEC--TAN\n", "PASS: FITS output round-trips (SCI/SATMASK/CAT/CLEAN)\n" ] } ], "source": [ "import os, tempfile\n", "\n", "path = os.path.join(tempfile.mkdtemp(), 'field_1wave.fits')\n", "fields_focus[1].write(path)\n", "with fits.open(path) as f_check:\n", " names = [h.name for h in f_check]\n", " n_cat = len(f_check['CAT'].data)\n", " hdr = f_check['SCI'].header\n", "print('extensions:', names)\n", "print(f\"CAT rows {n_cat} | NSRC card {hdr['NSRC']} | WCS {hdr['CTYPE1']}, {hdr['CTYPE2']}\")\n", "assert names == ['SCI', 'SATMASK', 'CAT', 'CLEAN']\n", "assert n_cat == hdr['NSRC']\n", "print('PASS: FITS output round-trips (SCI/SATMASK/CAT/CLEAN)')" ] }, { "cell_type": "markdown", "id": "77c12091", "metadata": {}, "source": [ "## Summary\n", "\n", "Verified in this notebook:\n", "\n", "1. PSF modes: the in-focus Airy and the +1/+2-wave Huygens defocus PSFs render\n", " with the expected peak ordering and ring structure.\n", "2. Astrometry: star centroids match the Gaia/WCS positions to a few-mas RMS.\n", "3. Photometry: aperture fluxes close on the ETC `rate x t` prediction to about\n", " 1% (noiseless) and scatter within the propagated noise envelope (noisy).\n", "4. Noise: source-free pixels follow mean = (sky + dark) t and variance =\n", " mean + RN^2.\n", "5. Saturation and FITS: bright stars are flagged in `SATMASK` and `CAT`, and\n", " the multi-extension FITS output round-trips.\n", "\n", "The ETC-versus-simulation cross-check also runs as a slow test in the test\n", "suite (`pytest -m slow`). The plots came from `field.plot_cutout()`,\n", "`plot_radial_profile()` and `plot_image()`; notebook 10 shows the rest of the\n", "plotting methods." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }