Created
July 9, 2018 15:58
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3x2pt pipeline example output
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Populating the interactive namespace from numpy and matplotlib\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "pylab inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import h5py\n", | |
| "import healpy\n", | |
| "import txpipe.utils" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 120, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "maps1 = h5py.File(\"./diagnostic_maps.hdf\")\n", | |
| "ran1 = h5py.File(\"./random_cats.hdf\")\n", | |
| "corr1 = h5py.File(\"./twopoint_data.hdf\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 111, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Randoms data\n", | |
| "ra = ran1['randoms/ra'][:]\n", | |
| "dec = ran1['randoms/dec'][:]\n", | |
| "ra[ra>180] -= 360\n", | |
| "\n", | |
| "# Depth map data\n", | |
| "pix=maps1['maps/depth/pixel'][:]\n", | |
| "vals=maps1['maps/depth/value'][:]\n", | |
| "\n", | |
| "theta = corr1['twopoint/theta_gg'][:]\n", | |
| "bin_ij = corr1['twopoint/bin_ij_gg'][:]\n", | |
| "gammat = corr1['twopoint/gammat'][:]\n", | |
| "gammat_err = corr1['twopoint/gammaterr'][:]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "pix_info = dict(maps1['maps/depth/'].attrs)\n", | |
| "pix_scheme = txpipe.utils.choose_pixelization(**pix_info)\n", | |
| "extent = (pix_info['ra_min'], pix_info['ra_max'], pix_info['dec_min'], pix_info['dec_max'])\n", | |
| "m=np.repeat(np.nan, pix_scheme.npix)\n", | |
| "m[pix] = vals\n", | |
| "m = m.reshape((pix_scheme.ny, pix_scheme.nx))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 106, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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8Jy+av4z41fe7zl8fR8ZAma+Fll8bd+h1IXXPHTN1Wq8+pE2ttFq/RO5vK33E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\n", | |
| "text/plain": [ | |
| "<Figure size 864x432 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "figure(figsize=(12,6))\n", | |
| "subplot(121)\n", | |
| "imshow(m, extent=extent)\n", | |
| "title(\"Depth\")\n", | |
| "subplot(122)\n", | |
| "plot(ra[::100], dec[::100], ',')\n", | |
| "axis('equal')\n", | |
| "xlabel(\"Ra\")\n", | |
| "ylabel(\"Dec\")\n", | |
| "title(\"Randoms\")\n", | |
| "grid()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 119, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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Ifp/NJn/+r+/pYHmN0pN8+vV/1ut3CzborNF9NfukgTp3bL9j9jkDAAC4VcSh2BjjlXSP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hD7glGv489zxmN3OHlgwcaA/j/vCwGZFLc/Q7c6NJyaa/FHYruZ4vYJ59k5yWja0UUhJ7Jmn+s/\nRHQ3W6r5i1KKRy/OpbbJztzFO/w9HNFNvakpTrCa0OsUydFmIox69pZ17ECx8UAVTg0mHLMa+KIx\nAxiUaOX5r3ahaZo0Xxdeo3G0hKK60Y4twkhClJlWp0ZN08nPsf709toiNGDUQBtPXTGWfeUNzH5h\nGf/vrY0cqZVNb0LdlZMzjnss3mpiaHIUY9JiAFjXSVK8qaiacemxvHXHVEakRjMpK47XVxX2aBMm\nX/lg4yHOe/Zb1u2v4neXj+HlGyf3eC1Ub2QnWvnV93JZsaecl5fs8fnPCyQBmRR7boPolKt8om3j\nDmvnwXBKdjw6BVVdJMWr91WgV4rIINj4YERqNNefmsV/Vxayo6TW38MRPdDt8onaZpKiXTGtlCIr\nIfK4meJ1ha6T+MSMjkmxXqe486whbD1Uw9fbe7/VuRBw/MybZ3LIM1PsmZAI1Lpip1PjjVWFRFsM\nRJoMXH1KBl89eCY/OmMw/9twkBlPf83fvt7dYQtrEVpM+hNPSxj1OswGHRsOdLxz4HRqbD1Uw9j0\nmLbHrp2SyZ7SelburfDZWLtS3WjnvvnrueeN9QxOimLhvdO5dkpmv5YDXT05g/NHpfLHz7ezxV1i\nEg4CMyl2v+5Ws4GW9klxJzXF4GqFZrMYu+zssGZfJVEWQ9DUmd0/azhWk57ffpQfEFetwrtK644m\nxeCqj993TFK8dn8lQ5OjOq1Bv2xCGmmxEfzly50SH6JPjj0jekrR2son3BMSgdqreNnuMvaXN/D4\npaPb7iBGW4z8/IKRLLr/TKYOTeQPn25j1jPf8tnWYvn/EoK66sQTZTYclxTvLa+nrrmV0WlHk+KL\nxw7AZjHwxqrCfr0D5/lZK3aXc8Hcb/lw02HumzmMt+/IY1Bi/3ejUkrxu8vHEG81cd+CDTS2hMcF\nZWAmxe6/o8wG90yxeze7k9w2iDIbaLQ7qD3B7b3qBjvbS2qJtgR26UR78VYT984czpKdZXy5LfAX\nuYS7toutbr7hltY2k9QuprMSrByoaGxLSJxOjXWFVUzK7LyRulGv4/YzB7OusIqaLi4IhTipYyYK\nWp1Orv77cmqbWt3lE64Jifa9iqsbXefUrtZy9Id53xUSbzVx/ujU4z6XnWjl5Rsn899bT8Vi1HH7\nf9Zy/T9Wsq24xqtjkBKm/tN5n+Kuk+LD1U2U1Bwtpdlc5JoBbT9TbDHquXxiOp9sLm6bkOsPTk2j\nsKKB6/7xHWajnrfvyOO+mcP92nYzzmrij1eNY9eROp5cWOC3cfSnwEyK3RFvNRuwO7S2HWpOtkDO\ns/XypqLOp/nXFrpuhfzxqnFB1cPyxrwsBidZefzjAtnPPUh0J0VwOrUO5RMA2QmRtDicHKpqBGBP\nWT3VjfaT7i509eQMkqLNbd8jRG90NlPsSXZdM8Xu8ol2M8VHapuparCzp7Suv4bZqZKaJhYVlHDV\npPST7vI4bVgiC++Zzm9mjyL/cA0X/nkJj/5vCxX1LT1OaJvsDg5WNbKpqIqvth3hrTUHOFTVyMHK\nRnb7+fcRrk5WPgFHc4T1hUdnizcfrMZi1DE0qWM3qmumZNDi3tOgL7qKq8YWB9/sKOXJhQVsKqrm\ncHUT107J5ON7pjHhBJMh/W36sCR+OG0Q//luP19uK/H3cHwuIKdNPaFtdc8UO5yuZNAWceKkOMrs\nOhmuL6zk9KGJx31+9b5KjHrFuPRYr4/Xl4x6HY9elMsP/r2a11bs44fTg2cLSnFiVY12Wp1ax6TY\nfYtsX7mrLZtnUcjErBPHrMWo57bpg3hy4bYT3iURoqdanUcnI2IijMRZO84Ua5rWtrB5U1E1w1Ki\n/TNQ4M3VB3A4tW7t8GjQ67gxL5tLxg1k7uKd/Oe7/by/4SBxkSbirSa2FddQXtdCWV0z5XUtlNc3\nu/999OOK+hbqmk98Z+acP33D6UMTuOG0bGaOTJYNdnygsz7FXf2erSY9Rr1iw4GqtjsKm4uqyR1g\nO+57c1JtTMyMJf9wTZetXnvCU8O8ZFcpS3eWsWZfJS0OJ0a9wmLUk5UQyZOXjfHaz/OW/3f+CJbu\nKuOhtzfxyb1ndHjfCjWBmRS74z3KrKe8rqVtxiLKdOLhGvQ6LEZdh6vA9tbsq2B0WgwRQbDI7lgz\ncpI5c3gSf/5iJ5dNSCOhH1afit5R6ugiJXDdYm5udZJ8zEmkbeOODjPFnqS4genDXIvsYiKMDE48\neU/t75+WxdOfbWdfuasJ/cka1QvRGdXubw1X159W/dGk2KjXERtppNy90G5HSV1b0rz5YDVXTPLP\nJjIO9wK7aUMT2y4quyM20sSvLxnFdadm8tuP8lmys4z9FQ2cP3dJh6/ztExMsJpIjDKTmRlJgtVM\nQpTrsYQo18eJVjMPvLkBp6ZxzsgU5n23nzv+u5ZUm4XrTs3kmikZJEd7L7kSx+uqfEKnU+QOsLHe\nvXjZ4dTYcqiaqzvpWgFw3alZPPjWxi7XKnWl2e7gjVWFLN1ZxrLdZVQ1uC4mc1KjuTEvi2nDEpky\nKN6rm3B4m9mg57lrJ3DxX5by0Nsb+efNpwTN2qyeCsik2MNqMlDsaKLV/Ubf1SYFnkL6Yxt0N9kd\nbDxQzc2nZ/t4xL7z6MUjOW/uEp5ZtIMnAvBKUrgYdMpV8uOuRSupaaK60U5SlKlDTLbfzc4jxWbG\nYtTxwpc7+WjjISrqW5iYGdtl3EeaDGTFR7KrtJ7XV+7nhrxs7x+YCGme6zidAod2fPkEQILVxMeb\nDrGjpLZtps1s0LVtfuAP3+w4wqHqJh69OLdX3z88JZrXbpnC+XOX0NTq4KHzclxJbpSJBKuZmAhj\ntzfHefvOqW0f337GYL7cdoT/fLefZxbt4LkvdnL+6FRuzMvmlOy4kE0o+kvnNcVd/07HZ8Ty1toi\nHE6NvWV1NLQ42tq1HeuiMQP42Tub2jZZ6qkmu4Oth6qpa3awoWgzKTYz5+SkMH1YIlOHJgTdRdLw\nlGh+fkEOj32Yz3+/C933mYBMij0njEiTHrvDdXI2dOPEFGU2sK+8gQMVjWS22+9888FqWhxOJp+k\nNjPQDU2O5obTsnhtxT6+f1oWIwfY/D0k0QmjXofd4aDSPRvg1Fx9tutbHES1649dWuda7NF+plgp\nRXaCleKaJlodTnYeqeOScQO79XPjrSZstc08/dl2LhwzQO4miB5xuheHKqVAc5VOeC7s2pLiKDNH\n3Bdzy3eXYzboiIs0svVQNa0Op1/KBOZ9V0hStLlPmxkopdzrVYxe29bWoNdx7qhUzh2Vyp7SOuat\nLOStNQf4aNNhRqRE8/28LC6bkNbhnCD6pquZYoDxmbG8umI/l76wlPpmVzeFMemdJ8URJj1xkUYq\nG+zYHc5uPX97n24ppq7ZQVqshVdvmcKQpKiTXgwFw1qnm6dm8/X2Uh7/uIC8IQkMTfZf2ZSvBGSx\nk8J1JWgy6LA7nG0zxV3xnGDWH+jYoHv1Ptciu5MtWAoG980chi3CKC3aAphOueLX0zPbs3i5fb3v\nnBdX8Owi16Ysx9ZmZSdYabI72moWuxuznoS6ocXBU59u7+NRiHDjmRX2vGc7nM4ONcXg2jzJ7t5h\ndOWecmwWI1azgSa7k92l9Z0+ry8VVTbw5fYjzJmc0eOE5Vi93X20OwYnRfHoxbms/L+Z/OGKMRj0\nikf/t4XTnvyCX76/hZ3Sh77HOssGPBNnuQNsx72Wntd3vLvfe11TK/UtrUQY9QxJOnF5WlykCYdT\nY1UvehbPX12I2aAjLTaCocnRIXF3QCnF01eNxWo2cM8bG0Ky73dgJsUKdCj3rJsTh6PrmeIFt+fx\nv7tOJ8KoP66ueM2+SoYkWYN+9iw20sT9M4ezfHc5i/JDfxVoMFJKoRRti0M9M3DH1qW1tGpYjLrj\nZoqyEiNptjupbWpFp2BcRvcXhkaY9NwybRAL1hxo2/RDiO5wtrvIVrgW2h1fPmGm1aHR0OKgpqkV\nW4QBq8nT9af/t1NesPoA4OoUEAwiTHrmnJLJR3dP490fT+Xc3BTmrzrArGe/5ZqXVvDxpsP92gIs\n1BgNXacz2QmRxEYaqWt2UN/sYHSa7aQTbjERRnSKHr/f7i2r57s9FSRFm0MiGW4vOdrCH64YS/7h\nGp75PPR23A3MpBhXYmzU62hp7f5MsUGvY0x6DOvbNeh2OjXW7KvglOx4H464/1x/aibDkqN4YmFB\nSF6lhQKlFO6cuC2xqG1q7TC7b3c4Oz1hDkqwogHl9S3kpNra2gh11z3nDCPFZuaX728JiP6xIjjo\nlGr723VR5yqhUIDF6HqbSIgy0erU2u6C2CxGLEYdVpO+3+uK7Q4nC1YfYMaIZNLjIrv+hgCilGJi\nZhzPzBnPip+fzc/Oz+FARSN3vb6O03//Jc8u2tGhl644XmeJplF3fDpz7B0ApRTjM2KpbbbT0NJx\n047O6HUKW4SRRfklPbo7u2D1AfQ6xTt3Tg2KsoiempWbwnWnZvLSkj0s313m7+F4VUAmxbYII/FW\nE0a9oq65lSa7o1s1xQATMmMpOFTTljDuPFJHTVMrk0MkKTbodTx6cS77yxv497J9/h6OOAGH+wTq\n1DR0yjXz1mg/ehFjdzg7LLLzyHJ3oGhudfao3Mdz8o8yG/i/C0ey5WANb6wq7ONRiHCRHG1mUEIk\nRr1CKUWLw+lay+H+N9DWq7iivoVhyVG8d9fpvHnHVEalxfR7UvxFQQlHapu5rhtt2AJZQpSZO88a\nwrcPzeCVmyaTO9DGc1/uZOrvv+TH89ayfHcZV/99uWwK0g3dWWgHrsV2TXYnTq3jph0nEhdp4mBV\nI1sPdW+zF7vDydtri5gxIpkUL7ZzCzS/uGgkgxKsPLBgI1UNgbnTZW8EZFKcGGVmUKIVo16HprlW\nRne3zdSEjFhaHM62APbUE5+SHdz1xO2dMTyJs3OS+cuXu9q6GIjAoTh6O9rh1NpuP7cvobA7tE57\nPWYnHp316m0N/CXjBnLqoHie/mx7wG7LKwKLUopkmwWlFHoF9c0OmuyODuddT/lZQ4uDqUMS2h4f\nmxZD/qGatoV5/WHeykIGxliYkZPcbz/Tl/Q6xTkjU/j3D6bw9YNnceu0QSzfXc51L69k08Fqiqub\n5P9yO51lA90pnwBXUuwxJu3k5WkLbs/j7TvyelRC8UXBEcrqmrk2SMp6eivSZODP10ygrK6ZR97b\nEjLrnLySFCulzldKbVdK7VJKPeyN5wRX+YTn16zv5NZIZzy7wGxw1xWv2eeq68mMD65bbF155KKR\nNNkd/OlzWVTVF76KXafm2uDAqblqCU16XYetmD3lE8dKibbgyUMm9nJHI6UUv5k9mrrmVp7+bFuv\nnkMEPl/FrqeLRE1Ta4c7dJ6ZYoC8IUc3SBqTHkNzq6tbSn/YX17Pkp1lXDMlMyR7cmclWPm/C0fy\n3c/P4ekrx6JXiv0VDUx5YjG3vbaGT7ccDurSOZ/lC93METxJsU7B4G70tk6IMjMpK67bSfGC1YWk\n2MycOTypW18fzMakx3D/rOF8vPkw76w76O/heEWfk2KllB54AbgAyAWuVUr1rmnkMUztrvy6Wz6R\nYrMwMMbSVle8el9lSPaFHJIUxU1Ts1mw5gBbD/mvT2gw81XsKuWqZW+yu2bO9EoRbTFQ22R3J8qu\nes2kqONvrel0CrPBtfNSRnxEr8cwIjWam6dmM3/1ATYe6P9FUMK3fHne1amjt6LbT0a0X6h82uCj\n5WiePq+bi/rnPPT6qkL0OsWcU0J7Js5i1HPV5AxGp8UweqCNH5yezYYDVdzx33VMeeILfvG/zawr\nrAyqGTpvxW2nfYoN3XuPj400uWrhzYZu96CelZtC/uEaiiobTvp1h6oa+WZHKVdNygibnQzvOHMI\nUwbF86v3t1BYfvLfTzDwxqs2BdiladoeTdNagPnAbC88b4caoZ7MCIzPjOXzrcVc+sJSDlY1Mjkr\nNOqJj3XPOcOIjTDymw+lRVsv+Sx2nZpGQ4trZlinU8REGLE7NFburcDucL1WJ9oqM9lmZkCMpc8X\ncvfNHEZilGvRndQlhhyfxG7uABujBsYQF+maFW4/GZEY5Xos0qQnNvLorHF2gpUos4FNB31/8dXc\n6smxSs0AAB1uSURBVOCtNUXMHBna9ZrtLbg9j4/umc4jF+Wy4uGzefWWKZw1Iom31xZx+V+Xc/af\nvuG5L3ZyoCIoEhKvx60nQg06Xbdb6w1LjurWLLHHrFzXZjVdzRa/taYIp0bIX7C1p9cpnp0zHp1O\ncd+C9f1aRuUL3kiK04AD7f5d5H6sA6XUj5RSa5RSa0pLS7v1xO17T3Z3phhgQkYcza1OKutdq6RD\npfPEsWIijDxw7ghW7q3g0y3F/h5OMPJJ7Lpqil21l+CaKU6wmjDoFC9/u6et7dKJkuJUm4UBMb2f\nJfaIthh55MKRbCyqDqra8zkvrpAEvmtdxm5vzrkenSXFNosRvU4R666R99DpFKPTbGw+2L2FSH3x\n6ZZiKupbuP7ULJ//rEBk0Os4c3gSf75mAqsfmclTV44lxWbmmUU7mP7UV1z94goWrC6kpl1f9ADj\nlXNu+wkDg3vyzNSDmdlIkwGLUd/trx+UaGVYctRJk2KHU+PNNQeYNjSRjBAr1+xKWmwEj186mnWF\nVTz/1S6/jMFb7xv9Nr+vadpLmqZN1jRtclJS92pt2ifFPZ0pBiiuaSLSpGfkgNDbdcXj2lMyGJES\nzRMLC2iyB2+dWSDrcey6T9iePe517i3KU2wWvth2hBp3S6sTJcXeNHv8QKYMiudAZaP0QA0zvTnn\netgiDJgNOiJMRxMHnU4xZqCNtNjjL9jGpsdScLjG5zH2+spCMuMjmTY0sesvDnHRFiNXT85g/o/y\nWPqzGTx47nDKapv52TubOeXxxdz9xnq+2n4kKGfuehK7nnaChm52n+itWbkprNxbQXVD5xccy3aV\ncbCqMaxmidubPT6Nyyak8Zcvd/Vrn3xN0zhS20RNo73DJlm95Y2k+CDQPgrS3Y/1Wfsrv2fmjO/2\n940eGIPC1dZqYmZcSNf2GPQ6fvm9XIoqG/nnsr3+Hk6w8Unsek7ND761AQDPuTrFZsZs0HGo+vgt\nnn3FtehuFK1OjaLKRp//vL5yOjWqG+2SwHfNa7Hb2Q5gOqUYlx5zXImC2ajvtA5zdFoMLa1OLnth\nmc9m+XcdqWXl3gqunZLZ7VrQcJEeF8lPzh7GFz89k/d+PJU5p2SwZGcpP/jXak773Zc8/lE++d1s\nKeZjXj/neiKhr7sadmVWbgoOp8aX2zufLZ6/upC4SCPnjur9luPB7rHZo0i1Wbhv/oa2XVm9paXV\nya4jtXy6pZgXvtrFA29uYPYLyxj72OdMeeILCoprOVTV9/7e3th4fTUwTCk1CFdwXwNc15snUgra\nl8a2L5y3HXPL7mQiTHoiTHoaWhxMDqFWbCdy+tBEZuWm8MKXu7hyYjrJYVJr5wVei11wJRcAG9wL\n2zy1w56ZDKNex5WT0pm30tU/2FOj6Ws5qTZSbWaKa5pZtbeCKYMCr5xI0zQW5Zfw7OKdbCuuxWzQ\nsbOklmEpoXuXp4+8Grud6UlN+1j3Yrv6ltYebzjTXfNWFmLUK66anO6T5w8FSikmZMYxITOOX1yU\ny1fbj/DuuiJeXbGPfyzdS05qNJdPTGP2+DR/1WR7PW49cdqT8oneGJceS3K0mUX5JVw2oWMMltU1\nsyi/hBvzsjEbul+WEWpsFiNzrxnPnBdX8OsPtvLHq8b1+DmqGlrYXVrP7tI6158j9ewprWN/RUOH\nDalSbRaGJFu5bEIaQ5KieGNVIRE9KIk5kT6fvTRNa1VK/QT4DNAD/9Q0bWtvnmvyMS2o2l/52Sw9\nG2qU2UBDiyNk64mP9ciFI5n17Dc8/dl2nu5FIIYjb8Zue55cotW9rV370p8fTh/MvJWFGNxdJvpL\nelwklQ127l+wgU/um47N0v2LTF/SNI2vd5Ty7KIdbCqqZlCilcz4CA5XN3H5X5fz1+9PZPqw0G9t\n1FO+it3eykqIJNpioL7ZAT64jmmyO3hnbRHnjUolsZNNb8TxTAYd541K5bxRqVTWt/DRpkO8s+4g\nTy7cxu8/2ca0YUlcMTGNc3NTO5TJ+JIv4tZzvvV1+YROp5iZm8L76w/S3OrocP5+d10RdofGNWFa\nOtHeKdnx/PisoTz/1S7OzknmwjEDjvsah1PjYGXj0cTXnfzuLq2jvF0/bpNex6BEKzkDorlwzACG\nJFsZkhTF4KQooo65+L5parZXxu+VS3pN0xYCC/v6PMfeEmufFFtNPRtqgtVEQ4uj171eg012opUf\nnD6Il5fs4ca8bMZ0Y6ce4b3Y7cyxM8XgWrCRYDXR0tq/5QF6nWJIUhTbS2r51ftbebYH5Ui+oGka\ny3aV88yi7awrrCIjPoKnrxzLZRPSuP4fK4m3mmiyO7n5X6t5/NLRXBvkO5f5gi9jt6eUUoxJi/FJ\n+785L66gtLaZmqbWsF1g11dxVhM35GVzQ142u0vreG/dQd5bf5B752/AatJzwZgBXD4xjbmLdqCU\n8unWxN6O2/4qnwBXCcXrKwtZvrucGSNcG8domsb81QeYlBUnd7bc7p05jCU7S7n7jfU898VO7jxr\nCLuP1LXNAO8pq+/wHhhvNTEkycqs3BSGJEW1Jb/pcZH93ovcN/e5vMRzO0TvXqjUE7YII6MijP12\nBRwIfnL2UN5ZW8RjH27lrTvyQq43c7Dw/NY9C1yO/U89OKn7rYC8Kdpi4O6zhzJ38U5m5CRzybiB\nfhnHyj3l/GnRDlbtrWBgjIUnLxvDlZPS2/qSe96Qa5vs/OT19fz83c3sLavn4fNzpJY0gI1Jj2HF\n7vK23Ry96UhtE4OTrB36I4veGZIUxYPnjeCBWcNZubeCd9cVsXDzYd5eW4RJryMxykRtk53oALmb\n1BXVVp7m+3PD1CEJWE16Pt9a0pYUr9lfyZ7Sep66cojPf36wMOp1zL1mAuf86Wu2Fddy7/wN6BRk\nxkcyJCmKM4YnMSTp6KxvvLV/Sgm7I6CTYs+VX0/asYUzm8XIg+eN4OfvbubjzYe5eKx/kp6w5z5J\nH50p7vhpnR8vVn4yYyhfby/lF+9tZnJWHAM76STgK2v3V/Lsoh0s3VVGcrSZxy4ZxTVTMk5YRhJt\nMfLKTZN57MN8Xvp2D/vK6pl7zXgie3jXSPSPsWmxaEBjS8cuOJ6Fd72dfaxvbqWu2cF9UzLlQt+L\ndDpF3pAE8oYk8JvZo/k8v5hfvr+V0rrmoKqLVco1EdGT2OhtLJoNes4akczighKecI5Gp1O8saqQ\nKLOBi8ceXyYQzgYlWhk5wEZLq5O/Xj+RzITIoIirgG7LcHRXJTkRdtfVkzMYOcDGAws2ctXflvt7\nOGHJE612d01xT2c3u9uAvjcMeh1z54yn1anx0zc34nT6ftOXTUVV3PyvVVzxt+VsK67hFxeN5NuH\nZnDT1K4XpRj0On4zexS/vDiXRQUlzHnxO0pq+r7CWHjfWHfJ1qHqphO2reqNI7XNKAVXTpIFdr4S\nYdIze3waOanRjEuP7bCbbKBzJcT99/Nm5aZQWtvMxqIqqhvtLNx8mEvGD5SL9U5EmQ3EW00MS4kO\nioQYAn2m2CAzxT2l1yl+eXEu1778HfvKG1i7v4LhKdFBcysslLQ6NBT+nRn2aJ9kZyda+fX3RvHQ\nO5v4x9I9/OgM79z2O3ZGMP9QDc8u3sGi/BJiI4387Pwcbpqa1eM3D6UUt0wbRGZ8JPfMX8+lLyzj\nlZtOIXegzSvjFt6RER/JwBgLh6qbOOeZr3n04tw+l+hUNbRQVtdMgtXUYRc94Ru+rCX2Fb1O9es5\ndsaIZAw6xY/nrcNs0NFkd8oCuxMIxngK7KRYd7SmWHRf3pAEEqNMlNY1c8XfXIlKRnwEOak2Rg6w\nMTI1mpwBNrLiI6VG0wfaZoodzoCN3asmp/PFthKe/mw704YmeTXB3FlSy7OLd7BwczHRFgMPzBrO\nD07P7vOF2czcFN68PY8fvrqGq/6+nOevm8iMnGQvjVp4Q0Z8JPFWE3q9jnvnb+DttUU02R092j2s\nvTdWHcCpudovCdGZVJuF1H68Po6JNHLq4HjW7q9EpxQjB9gYkyYL20NFYCfF7j7FMlPcc4MTraTH\nRXD32cPYVlxL/uEath2u4YuCEjx3zCOMekakRjNyQDQ5qTZyUl1/x0TKrHKfuMPVqQVu7Cql+N3l\nYzl/7rfcO389H949rdeJi0ej3cHBykbOnfstVpOBe84eyq3TBxPTgx7jXRmdFsP/7jqdW19dza2v\nruZX3xvltVY8omvdmfmxmg28fttpzFu5n6c+3U59SysZcT2vXbc7nLy6fB82i8FnvY9F8DMZdH0+\nd/XUrJEpLNtVDsC1UzKk1j2EBPSZxtjWfaLn9U3BOG3vTW/eMbXt43NGHt1hp8nuYGdJHQXFNRQc\nrmHb4Vo+2VLMG6uObkefFhvhSpDdyfLIAdFkJ1gx6HV9XjQTDtqfHjMTIllwe57Pdvnqi3iriaev\nGsdN/1zF7z/Zxq8vGdWr59ldWsfzX+5iU1E1OgW3nzGE288YTJyPVhSnxlh48/Y87p2/gV99sJW9\nZfU8enFuwM7KhyO9TnFjXrarT+6z31JY0ciOklqG96Bl1cLNhymuaWJ4SpQPRypEz80alcqvP8xH\nKZg9Ls3fwxFeFNBJsUm6T3idxahnTHpMhz7Grr3Dm11JcnFtW7L8zY5SWt3TymaDjuEp0RRXN5Ig\nzfO7LTLAWwKeOTyJm6dm8+/l+5iRk8yZw7u/UYYnGX5/w0HMBj0DYiwMiLHw8AU5Phyxi9Vs4MUb\nJvG7hQX8Y+leCisaeO7aCcc1dBf+lWKzMDjJyvoDVby2Yh+PXzqmW9+naRqvLN3L4EQrn957hpR5\niRPyR2SkxUYQE2HAYtTLndUQE9DvIJ4VsDID5FtKKVJsFlJsFs4acbRGs7nVwe4j9WwrPposFxyu\nobSuhbmLd3D32cPktelE+1tpgZ4UAzx8QQ7Ld5fx4Fsb+ey+M7rsGXlsMnzb9MHcdsZg7pq3rp9G\n7KLXKX5xcS5ZiVZ+/cFWrvr7Cl65aXK/tpkTXTPqdSRYTby77iAPnZ/Trd0U1+yvZFNRNb+9dLQk\nxCIg5fRnIbPoNwGdFCdHm8mIiwioxs7hxGzQkzvQ1mER1pV/W86+8nrmLt7J2v2V/PmaCfL6nEQw\ntOmxGPXMnTOBS19YxsPvbKKqoaXTXa1OlAz7e9vdG07LIjM+krvmrWvrTCE7Ovae53XvTcnPicqq\nUmwWth6q4d21Rdx8+qAun+eVJXuJiTByxUS5NS2E6D8B3YxQKcXA2Iig6pkY6t6+cyqrH5nJ7y4f\nw8q9FVz03BLWFVb6e1gBxzO3FQwzxQC5A208eN5wPs8vobSupcPndpfWcf+CDcx65hs+3VLMbdMH\ns+RnM/j5hSM7JMS+7K/clTOHJ/HOnVMx6nVc/eIKPtta7JdxiM5FmQ2Mz4jlte/2o3Wx492BigY+\nzy/mulMzg+KiUviZ3EgQXiTZpugxpRTXTsnk3TunYtAr5ry4gn8v29vlm11YcZ+oPUmxPxPG7vrh\ntMHkDU5gf3k9TXZHt5PhQDEiNZr37prK8NRo7vjvWl7+do/EZB94O2ZvzMtiT2l926r9E/nXsn3o\nlOKmvGyv/WwhhOgOuQwXvTY6LYaPfjKdn761gV9/mM+a/ZX8/oqxstgJV06sERzlEx46neJPV49j\n+lNfkX+4hlnPfBNQZRLdkRxtYf5tp/HTtzbwxMIC9pbX89glo9o62Yj+50msm+wOnvi4gFdX7GPa\nsMROv7amyc6baw5w0dgBpMZIb2IRuAJ9kkP0TvC8Y4uAFBNp5KUbJvPSkj089ek28g/X8PfvT+pR\n66VQ1ln5RCCfTAfGRjA40cresvqgSobbizDpef7aiTydsJ2/fb2bAxUNvHD9RG57dQ0Q2L//UGYx\n6rlmSgZ/+3o3RZUNpMdFHvc1b64+QF1zK7dO67ruWAgXqZ8Q3iPTJ6LPdDrFHWcO4fXbTqOmsZXZ\nzy/jvfVF/h6WX3lO08G46UC81cSkrLiALZPoDp1O8bPzc3jqirGs2F3OlX9bTrPd4e9hhb3rTs0C\nYN7KwuM+1+pw8q9l+5iSHc/Y9Nj+HpoQQkhSLLzntMEJLLxnGmPSY7h/wUYeeW8zTeGaiLjbskX0\n805LoqOrT8ngtVunUFzdxJZDNRysbKTgcI3UGrv1d617WmwEs3JTmL+q8Lhzw+f5JRysauQWmSUW\nPSDzxMKbJCkWXpVss/D6D0/l9jMHM29lIVf9fQUHKhr8Pax+d3SmWJJif5s6JJF3f3w6FqOeoqpG\nLvjzEqY/9RW//mAry3aVYXc4/T3EsHJjXjaVDXY+2nS4w+OvLN1LZnwks3JTTvCdQgjhW8F3b1cE\nPINex88vGMmkzDh++tZGLv7LUp6dM46zc8LvzS4iiBbaeYRize3Q5ChGDbTR0upkzikZLC4o4Y1V\nhfx7+T6iLQZmjEhmZm4KZw5PIiZCdqjypalDEhiSZOU/K/Zx5aR0ANYXVrJ2fyW/+p5s1y2E8J/g\ne8cWQePcUal8nGrjznlrueXfa7hrxhDunzkcQxh0AvBsamcNkj7F4cJk0HHNlEyumZJJQ0srS3eW\nsbighC8KjvDBxkMYdIpTB8czc2QKM0emkBF//GIw0TdKKW6ams0v39/KRc8tIcpsICnaTLTZwFWT\nM/w9PCFEGJOkWPhUZkIk79w5lcc+3MoLX+1m3f4qnrt2AknRwbmAq6ciJCkOGMfOgEeaDJw7KpVz\nR6XicGpsOFDJovwjLC4o4bEP83nsw3xyUqOZletKkMekxciWw15y2YQ0/vDJNkpqmjDGRfDJlmJu\nOT1b2jkKIfwqIM9AoXj7NpxZjHp+d/lYJmXF84v/beai55bw/HUTmTIo3t9D84ncATYOVDRwqLoJ\naxCWT4QjvU4xKSueSVnxPHxBDnvL6vmioITP80t44atd/OXLXaTYzJwzMoVZI1PIG5KAJcQWUfbn\neTfaYuSKSen8Z8V+ADRN46ap2f3284UQojPyji36zZWT0hk10MaP563j2pe/42fnj+C26YNRKvRm\n33TuYwqWbZ5FR4MSrfxw+mB+OH0wlfUtfLXdNYP8/vqDvL6ykEiTnjOGJTEzN4Wzc5KJt5o6fP+c\nF1cAcoF/MjeclsVrK/ZTVtfCRWMGdNq3WIiuhODbh/AjSYpFvxo5wMYHPzmdh97exJMLt7FmXyV/\nvHocNktoLW7SucumI+V2cNCLs5q4fGI6l09Mp7nVwYrd5SwuKGFx/hE+3VqMTsGkrLi2MovBSVH+\nHnJQGJYSjc1ioKaplVunSxs2IYT/yTu26HfRFiN/vX4i/1y2j98tLOB7f1nKX6+fyKiBMf4emtdE\nGA2YDToSjplBFMHNbNBz1ohkzhqRzG9na2w5WMOighIW55fw5MJtPLlwG4OTrDS2OEgK0o1P+lNm\nfCQ1TXYmZsb5eyhCCCFJsfAPpRS3ThvEuPQY7np9HZf/dTm/nT2aq08JjdXnsZFGxkfGhlzdqThK\nKcWY9BjGpMfwwKzhHKxq5IuCEhbll7B0Zxk2i5xeu2I1G4Jy10chRGgK/d5YIqBNzo7n43umMzk7\njofe2cRDb28M313wRFBLi43gxrxs/nPrqUzMisUm/Y6FECKo9CkpVkpdpZTaqpRyKqUme2tQIrwk\nRpl57ZZTuefsoby5pojL/rqcfWX1Pv2Zvord/t42VwQmg07XttjS2+S8K4KRxK0IBn29b7UFuBx4\n0QtjEWFMr1M8cO4IJmTFcf+CDXzvL0tJjbEQbzX5KsmU2BU+4+MLo5CJXbmADCshE7cidPUpKdY0\nrQDwaUstOWmGlxkjkvno7mncNW8dG4uqGRhj8cnP6Y/YFcIXJHZFMJK4FcGg32qKlVI/UkqtUUqt\nKS0t7a8fK4JQelwkb96RR0q0GZPB/2XvErsiGEncimAlsSv8pcuZYqXUYiC1k089omna+939QZqm\nvQS8BDB58mSt2yMUYcls0JOdaO3Tc0jsimDljdiVuBX9zR/nXJl3Ft7UZVKsadrM/hiIEMfqa+mM\nxK4IVhK7IhhJ3Ipg5/9700IIIYQQQvhZX1uyXaaUKgLygI+VUp95Z1hC+JbErghWErsiGEncimDQ\n1+4T7wHveWksQvQbiV0RrCR2RTDyVdz+65Yp2CyyUY7wDimfEEIIIYQQYU+SYiGEEEIEJek+IbxJ\nkmIhhBBCCBH2JCkWQgghRFCSHfKEN0lSLIQQQoigJCmx8CZJioUQQgghRNiTpFgIIYQQQUmqJ4Q3\nSVIshBBCCCHCniTFQgghhAhKSqqKhRdJUiyEEEKIoCTlE8KbJCkWQgghhBBhT5JiIYQQQggR9iQp\nFkIIIYQQYU+SYiGEEEIEJakpFt5k8PcAhAgFC27P8/cQhBAi7Ej3CeFNkhQL4QOSJAshhBDBRcon\nhBBCCBGUpHxCeJMkxUIIIYQISpITC2+SpFgIIYQQQoQ9SYqFEEIIEZSU1E8IL5KkWAghhBBChD1J\nioUQQggRlGSeWHiTJMVCCCGECEpSPSG8KaD6FEtvVyGEEEII4Q8yUyyEEEKIoCQL7YQ3SVIshBBC\nCCHCniTFQgghhBAi7PUpKVZKPa2U2qaU2qSUek8pFeutgQnhSxK7IlhJ7IpgJHErgkFfZ4oXAaM1\nTRsL7AB+3vchCdEvJHZFsJLYFcFI4lYEvD4lxZqmfa5pWqv7n98B6X0fkhC+J7ErgpXErghGErci\nGHizJdstwIITfVIp9SPgR+5/1imlth/zJYlAmRfHE+jC7XjB+8ec5aXnkdjtGTnevvFW3MJJYlfi\ntlPhdsyBGrteO+eqP3hpRIEt3OIW/BS7StO0k3+BUouB1E4+9Yimae+7v+YRYDJwudbVE57456zR\nNG1yb743GIXb8UL/H7PErm/I8fbLz/R57Ibb6wjhd8xyzg0N4Xa84L9j7nKmWNO0mSf7vFLqZuBi\n4JzeBrgQviCxK4KVxK4IRhK3Itj1qXxCKXU+8BBwpqZpDd4ZkhC+J7ErgpXErghGErciGPS1+8Tz\nQDSwSCm1QSn19z4810t9HEuwCbfjhcA6Zond3pPj9S9vxW6gHVd/CLdjDqTjlXNu74Xb8YKfjrnL\nmmIhhBBCCCFCnexoJ4QQQgghwp4kxUIIIYQQIuz5PSlWSp2vlNqulNqllHrY3+PxFqXUP5VSR5RS\nW9o9Fq+UWqSU2un+O879uFJKPef+HWxSSk3038h7RymVoZT6SimVr5TaqpS61/14KB+zxG5ovI4S\nuyFA4lbiNlhJ7AZQ7Gqa5rc/gB7YDQwGTMBGINefY/LisZ0BTAS2tHvsKeBh98cPA39wf3wh8Amg\ngNOAlf4efy+OdwAw0f1xNK5tPHND9ZgldkPjdXQfg8RuCMSuxK3EbbD+kdgNnNj190zxFGCXpml7\nNE1rAeYDs/08Jq/QNO1boOKYh2cDr7o/fhW4tN3jr2ku3wGxSqkB/TNS79A07bCmaevcH9cCBUAa\noXvMErtHHw/m11FiN0RiV+JW4jZYSewGTuz6OylOAw60+3eR+7FQlaJp2mH3x8VAivvjkPo9KKWy\ngQnASkL3mIN9/D0Vqq9jBxK7ISdUX8MOJG5DUqi+jh0EWuz6OykOW5rrnkDI9cNTSkUB7wD3aZpW\n0/5zoXrM4SZUX0eJ3dAWqq+hxG3oC9XXMRBj199J8UEgo92/092PhaoSz5S/++8j7sdD4veglDLi\nCvB5mqa96344VI852MffU6H6OgISuwTX+HsiVF9DQOKW4Bp/T4Xq6wgEbuz6OyleDQxTSg1SSpmA\na4AP/DwmX/oAuMn98U3A++0ev9G9wvI0oLrdLYSgoJRSwCtAgaZpz7T7VKges8Tu0ceD+XWU2A3t\n2A3V11DiNrTjFkL3dQzs2PX2yr2e/sG1qnAHrlWlj/h7PF48rjeAw4AdV/3LrUAC8AWwE1gMxLu/\nVgEvuH8Hm4HJ/h5/L453Gq5bHZuADe4/F4b4MUvshsbrKLEbAGPywjFJ3ErcBuUfid3AiV3Z5lkI\nIYQQQoQ9f5dPCCGEEEII4XeSFAshhBBCiLAnSbEQQgghhAh7khQLIYQQQoiwJ0mxEEIIIYQIe5IU\nCyGEEEKIsCdJsRBCCCGECHv/Hym6ZiLxJm9LAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<Figure size 864x864 with 10 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "nbin = bin_ij.max() + 1\n", | |
| "figure(figsize=(12,12))\n", | |
| "for (i,j), th, gt, err in zip(bin_ij, theta, gammat, gammat_err):\n", | |
| " subplot2grid((nbin,nbin), (i, j))\n", | |
| " errorbar(th, 1e3*gt, 1e3*err)\n", | |
| " ylim(-2,2)\n", | |
| " text(150,1, f\"Bin {i},{j}\")" | |
| ] | |
| } | |
| ], | |
| "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": "3.6.5" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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