Authorea

hamogu update figures for mass loss is exactly 1e-10 m_sun/yr over 9 years ago

Commit id: b67f26ade1601a8ddd88e9d7656ac0e1d6fee4b3

deletions | additions

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"text": [ "0x7f7c3c523bd0>" 0x7f8182832390>" ] } ], "prompt_number": 4 40 }, { "cell_type": "heading",

"language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 41 }, { "cell_type": "code",

{ "metadata": {}, "output_type": "pyout", "prompt_number": 74, 42, "text": [ "(1e-08, 1e-06)" ]

"output_type": "display_data", "png": 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WGDxYPOU/8YTdkpzNmTNnqFmzJs8++yzXm4x5o88/NixYAN27ix+wFi3sliYv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\nfAZkWhE0XqmAvH1PIDXDHTV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"text": [ "0x7f7c30515550>" 0x7f8182f73210>" ] } ], "prompt_number": 74 42 }, { "cell_type": "code",

{ "metadata": {}, "output_type": "pyout", "prompt_number": 7, 43, "text": [ "0x7f7c33868b00>" 0x7f817fc1e9e0>" ] }, {

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aSZPiUp1iAjNt2GwWxd+91k+GI5AfLH/S9uoloSv69LFaEiXZWLRIlLBkZ+HC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\nYNQz3kd5W2Hm7VkJjT+QBpeGNJBJyEM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"text": [ "0x7f7c34989e50>" 0x7f8181d48890>" ] } ], "prompt_number": 8 44 }, { "cell_type": "heading",

"input": [ "p_fiducial = ExpPres(5e-4, 2, p_inf = 5e-6)\n", "v_fiducial = 6e7\n", "mdot_fiducial = 6e17\n", 6.3376e17\n", "omega_fiducial = 0.01" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 45 }, { "cell_type": "code",

{ "metadata": {}, "output_type": "display_data", "png": 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aNHuaplDYn5QU6NsXliwBb2+ZPqJfPxo2hEGD6hEeHk6VKlWcbaWz+Y9xezHH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\n3TokuZlAfUz4asX33cTie9h4xf+w8UoTqcKePsLGK83sUxj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JzlR+7pxc2JSdc+fg3j14803w8DDZLIWVKcrBM3kO6a7+9BPCw8J4bdw46rXOvqq4YKip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\nEtx1F4wbF0fFUpgjR44wePBghg8fHhf5yayIXQx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BXnoJzJgdLOKE618PkfOZV4eNn4GPiOu00O+3q9nOYuPejL/J8ZvH8XLzynQw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\nT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jN40m5GhIoVSM3spI/wBMmGDmZmoBnU7Hf//7X7PHN2/enKvunXfeydyvV6+e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"text": [ "0x7f7c333dc090>" 0x7f8181e59450>" ] } ], "prompt_number": 11 47 }, { "cell_type": "code",

{ "metadata": {}, "output_type": "display_data", "png": 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C6bdGjRoAOuu0cXV1pX79+hw4cCCPIlahQgXNvp2dHQ4ODpr9rKwsHjx4wO3b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\nDMMwDMMwSvA/7QB0KagNmnUAAAAASUVORK5CYII=\n", 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5vZc3iquITcxXVoDLiKXI/4olmXEYVMQKiyMm/8TLDpZQxLKzs8nIyKhokcTLFfI3bBi1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\neBq4qKQ8kL+jhchwuKysF9CyzULAn4hdVN5ngDv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"text": [ "0x7f7c308ac610>" 0x7f81819ebe90>" ] } ], "prompt_number": 71 48 }, { "cell_type": "code",

"\n", "fig, axes = StellarWindShock.setup_plot()\n", " \n", "for m,c,l in zip([6.5e16,6.5e17, 6.5e18], zip([6.3376e16,6.3376e17, 6.3376e18], 'rgbk', ['solid', 'dashed', 'dashdot', 'dotted'] ):\n", " \n", " ode = StellarWindShock(p_fiducial, v_fiducial, m)\n", " ode.solve(omega_fiducial, z)\n", " ode.plot_params(axes, label='$\\dot M={0} M_{{\\\\odot}}$/yr'.format(mdotlatex(ode.m_dot_sun_yr)),\n", " bins=np.arange(0,3.,.25), color=c, linestyle=l, linewidth=2)\n", " print ode.m_dot_sun_yr\n", "\n", "#axes[1].plot(np.sqrt(ode.R0(ode.z)**2 - ode.z**2), ode.z, 'k', label='maximum radius')\n", "axes[3].set_ylim([0, None])\n",

"text": [ "Excess work done on this call (perhaps wrong Dfun type).\n", "Run with full_output = 1 to get quantitative information.\n", "9.999972288e-10\n", "Excess work done on this call (perhaps wrong Dfun type)." ] },

"text": [ "\n", "Run with full_output = 1 to get quantitative information.\n", "9.999972288e-09\n", "Excess work done on this call (perhaps wrong Dfun type)." ] },

"stream": "stdout", "text": [ "\n", "Run with full_output = 1 to get quantitative information.\n" information.\n", "9.999972288e-08\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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PD2fTpk0MGjQIgPr161O/fn3d8rKzswkxZWgODrbfSfrGG2+4pIct9uzZQ506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\n7tQDZ3LdqQt6dLVEb71wJteduqFXV1friav3wF9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jkIiXGkCc2fbrSG4Yv/J//7hI3MZK/LDgAo/WquxvdTxCamoq4eESCp+YmEjH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\nGWfK5yxA6dMHjpxM5b8rDnL46nEu1uj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"text": [ "0x7f7c303f09d0>" 0x7f8181b55250>" ] } ], "prompt_number": 36 49 }, { "cell_type": "code", "collapsed": false, "input": [ "def Tlatex(value):\n", " '''Format number to ato nice string in LaTeX'''\n", " latex_value = \"{0:1.0g}\".format(value)\n", " if \"e\" in latex_value:\n", " s = latex_value.split('e')\n",

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IoRqvwa5dIhU5f1EEeIGQUEqNLuesNEJVQMNtoEEW7QcB2wzsK7FgzjlEssMH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\nvvf296naem/n+M3v9a+7p/vXv+5+FniyoOwq7O9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NMa2t+QLQFtMSTM8DExBa0G2Avdr9Z4C7iGHNnwFDE16lfJMt0ck3eXmJdWMsWQIvvpir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\nfoYVcPWi5jUoh43nRA8YIBY9Rpmosqs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"text": [ "0x7f7c32be6850>" 0x7f81828ce210>" ] } ], "prompt_number": 14 50 }, { "cell_type": "heading",

"text": [ "Excess work done on this call (perhaps wrong Dfun type).\n", "Run with full_output = 1 to get quantitative information.\n", "Excess work done on this call (perhaps wrong Dfun type)." "6.31152e-11" ] }, {

"stream": "stdout", "text": [ "\n", "Run with full_output = 1 to get quantitative information.\n", "6.31152e-11\n", "Excess work done on this call (perhaps wrong Dfun type)." ] },

{ "metadata": {}, "output_type": "display_data", "png": 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22Yn8kczRLioKGDBgAHFxcYSEhOTkoYCs4+wMY8ZIj9j336Pp0IEzZwwXLVu2\nLOfOnaNEiRLZa6NKnkRG+ihSFFJObCz06SMD8osWlZ2wxo0z3ExmO2EgJ3O88MILvPHGG+zdu9fS\ngt2WYCZyVr+S2fw5mpj4x4RxlsP54/H7bUW6/UPrDSXg9YDsN0wlSyj5yxDAIaQbtgLwPXK4Ugl3\nkZ0wkG7dc6RM8c3Urzk8HNaskf9HuQ1TWpMnTpzg7NmzebsTpuPdd+WU/W3b4LyxNHQS/U7YrVu3\nrG2ZSh7m5k1wcIAXX7RQgzExMiXF5s1QrBgEBprthF17co3EpESLHP7hw4fJ7z/44AP++OMPe+yE\ngbzP2G0nzBpak+dDI2lXuV26pVbJzKT4VLFnlKTTzkjK7crIhHuuwFTklOOTyLH1ogbKG5yBsGyZ\nfO586aVsnfiQPYweLT/c/Pm2tsTmGPv+k3nnHXmuxo41WiQ+MV5ceHhB3Hx8U/Tq1Ut4eXmJhIQE\n69qlkikMndecdq4TE4WIjk6e0Js1nj8XolMneY2XKCGEghmve6/tFUVnFBWjtoxKlWg1MyQkJIia\nNWtmSzJfY6B81uRcYBVy1KaXdjGfVE1iTqZokPY+dQrpkPDS2xeq3R4CHDHSvrjx228mP2dSkhD7\n98vFLJs3y2vi1VfNFo2OjxYRsREiLiFO4RlXsQZkcdbkdGSw/jvIeLGyQDnAGxnMuBX42twBtLgC\na4H3kZ6xBUAVpPzRHWC2wnbo3Fk+de7bB0+UCi3lAvKk1qQp3tXG0/7xhwxkNsDY7WN58ccXWXth\nLb179yYoKAgHh8zp6KmomCNfPumozbLT6PlzeO01GZBfqhTs2WM2Mdkfp//g5d9f5mnMU8Iiw0hI\nSjBZ3hwODg4sX76cAzljyl0RIBp4BTlE2RVlKZZ0MkWdkKLhA0ivGnMVaI3sgE0jdUiOQCaQbYAJ\nvaFnUVVMGiEETJ4Mlg676/7pctx8lvLJ4i2WbVjF4piKEeuH1NTqj+xwVdJuvw4cBHyRF6k58gPr\ngGWkZNHXn8/7C0bSYRjSmSteHIYOhcqVc2dSV2MMHDiQ2NhYjh8/nikdN3snwzqDDRpAnTpw5gxi\n23aOle/OhQtyYpnuunixhBwjOvfgHOP6j7PuB1DJMrlBazLLREfLTtiuXeDuDrt3y+vcCEIIZhyc\nweTdkwEY22QsczrOyZRwd3x8PPPmzcPX15cCBQrQsGFDGjZsaL6ihchCIsxhmTxkE+AyKQlhVyJF\nvvWHOf/ourdJAAAgAElEQVTRe/8vMjxHH7N3oVsPnfA0sT8jsyY3/pOP91lIk2PRrDFTNuy/6nCk\nNWFt9ylrXCXXokHOmvw+zfayeu/HA38YqGtrj2L2ow5NJqPo+585U56vXr1EmzZC9O8vhDaHqRBC\niL8u/yXwQ/gs8UnedvjwYTFv3jzr2qWSYQyd1zx3rqOjhXjlFXlNu7sLceaM2Spzg+YK/BAaP434\n/p/vs3T4hIQE8dprr4mRI0dmqR1LgfKhSQ/kBLIH2mUd6TtMhugNLNJbHwzMN1H+I1J7xK4ihyWD\ngRFG6ogFY1ZY7JxMG7ZAQAdRyWWo2bJ1uuwTIES/CcqS/qpYBxRcx6Y8YpagJfLi1o2jA0xGuoDr\nIw28RkreFhUV5fTvDxMmwPbt7H0UI8eF9KhevDoA155eA2Sw/vDhw/H19c12U1XyDuHhcrgpQ/mb\nYmKgRw85C0k3HFm7ttlqQ+oN4beTvzGp1SR61e6VKXsTEhJwdHTEwcGBZcuWcenSpUy1Y0OWAstJ\nkcsbpN32spl6Gcnc3w4Yjryn6WiJDK0phcwGcB5I59sKvrQOPz85qSirXt244q7ATqLdd5otW7XV\nMc6INVStpyBTrIrFsJbEka2wdUc227nm+4Y4XAER9sO0dPvOnTsnzpw5IxITE21gWfaj+Ptv0EB6\nELZtS7crJj5G4Idw+MJBJCbJ85bVIOa8cF0+efJENG3aNFuPaei85sRzPXmyvBznzMlApZgYIbp0\nkRVLlhTi9OkMHVN3bWeG8PBwUatWLXHx4sVMt2EtUN5ROqlwW1qUyhR5IYcwq5loayrwoYHtZiWO\nhBAiLiFOXH96XdyJuGNwf0x8jLj+9Lr48aePBaNqi3bDG5ptc+SWkQI/hP8R/wyfexXLQRaD9XME\nMTFS+SM3MKfQSVq8DWtiQ9LtGzBgAL179yY2NtYGltkx3bQxuX+mVxcp6FiQuu51aVi2IRGxEYBh\ngWuV1BQtWpRNmzbZ2owciYeHfD1+XGGF2Fjo1UumYilRQsaEeZqKKEpPPk3m/8bd3NwYN24c/v7+\nmW7DDngEvIEMvndEjsI8NFlDokSmqCKwXtvmZb3thQBdniEX5ESB04YOcjfuscGDxyTEcP3pda49\nCaX4qNep1GktrcYE8OxZ+rLfLrxGpRl1GXPtO4g4S3zMNbMfrqBDQVzyu+CYz9oDXyrZQaDCbZbG\nbE/zp59kKMWePdbv1WYH70+sL/BDfD/jdVubYnOUfP9CCCGOHJGehCpVFLe9fv160bVrV3HkyBHr\n2WVlXFxcLN6mv7+/cHNzEw8fPky1vU+fPmLo0KHi7NmzFj+mDkPn1V7OdUY4elSIfPmkLrdZYmOF\n6NZNXr/Fiwtx4oTJ4kduHRGxCbFZtjEhIUFsT+Olyaqn2Bqg3CNWGTnhSxcjtgnZgVJCZ+ACspM1\nSbvtXVLCZX5BdvRCSJ2m4gVSkp7/p1c3LaL+hy8Y/HwHrh8Q+CH4XCNwiBG6lMCGnJMelaNFmUk+\nwv3dIsLJA/GaZ2krn30VS0EWY8Sckb3+UkBxve2FSUnKalM8PWH/fgsmULQxGu0EnCShpqhQTMOG\n4OZG5LX77Al4RKxrCXr3Nl3lyZMnDBgwgJo1a2aPjVbAGp69Jk2a0LlzZ0JDQ5MT4R4/fpzIyEi+\n+eYbqlbNSNrAvEmDBvDwocy/apK4OOjbN3Wy1nr1jBZfdmoZwzcNp79nf359/dcsff/h4eGMHj2a\nzz//nKFDhwI53lMcirJ0FYYwJ3H0tnZJy1VknLNZihlRgC/oUJCKRWR/MWrABNzv96WFR8tUMm06\nBg9w4v3391P66Bb4uRt4NVJyaJUcgqmO2LvIvF/lkNJEOiKQuVeUYExrsjgyAV8l5I+oL/A0A3YD\n4OOT0Rr2jW6IQRjoiJ0/f56kpCRVazItDg7QogUP/rpA9zdLUL48Zjtiw4cPzx7bsoE5c+awdOlS\nAN5++23ef/99vvvuO5ycnPD19WX8+PGcOnWKwMBAdu/ezZIlS1i2bJnBtq5fv46Pjw83btzA29sb\ngMjISO7fv692whTi4KCgExYfLyeabNokZYt27TKaJ0ykSU9RwrkEApH80JYZihUrxubNm7l3716m\n27ATPgG+xfBMRwGMzV5zDNPXZZTB7Y3LN+b6uOuK2pg+PePHXbUKDh6U/f3cdq/MbZi6o/+ATLr6\nsfZVt3ihvCOm05qsgwyMHI1MmDcROcukBnKYc2ImbM915NMY94gNHDhQjREzho8PFbhFPk0SYWHS\n2ZAXOH78OAEBARw5coSgoCAWLVrEiRMnaN26dXIizuDgYKKiokhISODAgQO0adPGaHtCCDw8PLhx\n4wYA//zzDy+88ALu7u7Z8nnyBPHxMGCAFPAuUkR2wozk6kpISmDU1lFM3j0ZDRq+7/g933f6PlMx\nYTdu3KBbt25ER0cDULt2bdq1a5elj2IHnNW+HkPGe+mWY6R2HtgUl0KW+89+8OwZO4EQQ4FkaShd\nGmrUyODsXRWboOQXPQ8p+j0QGKK3KMGY1mR34Fft9l+B1xW2l6upRFGa3YQypHdlHz9+nLNnz+Ls\nnHnx3lxLkybkJ4F+JQN56y2ZE9McAQEBNGjQgICAAKubZy0OHjxIz549cXZ2xsXFhZ49e3LgwAG8\nvb05duwYERERODk50bx5c4KDgzl48CA+Zh6NPTw8uHnzJvHx8Wg0Gk6cOEGTJkaThqtkhIQEGDQI\n1q2DwoVh507Qeh4NMfPQTP537H8UdCjImj5rGNcs80mJPTw8cHNzY968eZluww7RJQJ/jryP6JYA\nZKZ9JWRF4shcXQCinlsuHYhOa3Ld3btmy7ZtC76+4OVltqiKjVEynWIZKYGJ+mqyv2XwWJWRUhD/\nAqUBnV/8nnY90wghHyx374ZvvslKS7ZlTKI3YxbvgumKQg9UdGhnmf2R0A8WPkoluXDj2Q0eRz/G\no7AHJQqlCIDXqVMHf39/GjXK2bEWMhY05b1Go8HR0ZEqVaoQEBBAixYt8PLyYvfu3Vy+fNloXFx4\neDjFihVL9ogFBQXh4+PD559/TvPmzbPr4+QaYmJgyxZITIR+/ZCdsDfegDVrZCfs77/NCniPbTqW\n/df3M6X1FFpWbGmyrCGSkpI4f/48tWvXRqPRsGTJEhwdc+UMuknAagXb0qKTOOoA3AaOImdN6mfW\n10kcPUN2vBYiR3eU1AWgQTHLDes3q1mTnaAoMDomIYaEpAQKOhQkv0N+i9mgYhvOoUDGwQyuSFex\nzvOVViXS0PxexbMSHj8WwsVFzjg5fNhKUx+yg0mT5If4+ut0u9Q8YiZISpKzzkCIW7dS7Xpr01sC\nP8TC4IXZb5cVcXV1FcePHxdeXl7i+fPnIjIyUnh6eooT2pl3fn5+omLFiiIwMFDcu3dPeHh4iJ49\nexptb9euXeLJkydCCCG8vb1FiFZkumPHjuLBgwdW/zyGzqu9nOvMsHOnEC1bCrFjhxAiIUGIQYPk\n9enmlm1/UmfOnBGlSpUSpzOYl8xewPxss87I+LD7yJGb+dolAOMi3Po0J3UesYmYDpMpBtzKYF1F\necQUkwHRb10escHrB4slx5eIJceXiG0X0+dbFEKIsPAwEXQzyHJ2qiSDhTLr/4eUJApTUNYQOq3J\n30nRmrwHlEEOXZYltfZkMkp15ooVg3Hj4OuvYcoU6R3LkeiC8A0Iew8aNIjo6GiCg4MpVKhQNhtm\nfbKkM6jRSD2+Awfg3DkonzKpVxdvZ0p7T2g9STkJjUZDgwYNGDZsWPLQ4YgRI6innXnn4+PD9OnT\nad68Oc7Ozjg7Oxsdljx48CCTJk1i7NixDB48mFatWlG/fn1++uknTpw4wcGDB3n9detHD+Qmrcn2\n7aFDB+Rv+Z13YflycHWVQt7Z5GGsXbs28+fP5+FDJSm1bE8mMpKHIR/wX9O+apA3vQhkbLI5ygM3\n9dZvAU1NlH8L2JbJuhbhwbNnnABKPntGAzNlCzoUBOSM22Wn5ASdtpXb0rl653RlD908xIB1A7j/\n0X2KOZubbaKSnWzWLnuQMxr/1tuWPnumYYxpTc4kZUx9IjDDQN0M9TrDw4UYMyadQyRnMWWKfNr5\n4gtbW2JzMvr9izfekOduyZJUm4dsGCLwQwSEBKSrMmzYMOHu7p4hj0GG7VJRhKHzmuPPdVKSEL6+\n8rp0dhZir3HNv91Xd4uouKgsH/L06dNiypQpWW7HHkB5HrHCyKFCHQ7I1Evm6IVyrcl2yMkBul6K\n0rpi/We/Wuyc/PPdd6IDiE+rVTNbdu4vd4Rn1z2i89dfi2Ebh4lhG4eJGQdmGCxbamYpgR8i9Emo\nxWxVkZBFj9hsc5UVYEhrchKy47Ua+YQRSopGWKZxc4P5puRacwI6j1hioulyKumpUIGbVGDP5mKU\nLgcdO8rN4bHhALgVdEtX5eOPP2bq1KlUqKBEH1hFJQMIAZMmyT+lAgVg40YwMmN1wdEFjNk+hu4v\ndmdtn7UmvbfmqFixImvWrKF+/fr07Nkz0+3kMP5GxmpFatcLAX8hJ5mZ4jYyxZIOD1KGHvXxQna6\nOpESVqO0Lr8F7uCkw1Ug617d5BixSpXgzh2TZc8fKMx/W9oysnNbRr1mul3n/OokMEuRGa1JUx2x\njLVkmIMYn5nZwQLt5yruFYznagVwj7tL2vBONY+YGTw8uEFF/j5dhpdup2x+Ei3/N4s5pXe311Yg\nqpwR9Ec3hYFnII3G8HaVXMhXX8G334KjI6xZw/mKr/BCnOyT6RBC8OnuT/nmoJxhVL90/UylpoiJ\nieHhw4dUqFCBwoULs2vXrryWcsSJlE4YyKFJJR4xfYmjMKTE0YA0ZYxJHCmpC8C7XT6g02cWnhQU\nGAjlypkp5A+MgivmZDJVLEnazvYXX3xhto6SX32EgeUWsAE5m1LFQqzId5YWb8N8A3GmgwYNonfv\n3sl5gFTSULo0LTnMsjoz0M/XWrloZWqXqo27S566ManYktmz4fPPpYd72TK+PNGdOnXgl19SiiQk\nJTBi8wi+OfgNDhoHFndfzNS2UzMVq7hx40Y6d+5MZKTsi5QvX578+fPULLkoQD8PSCOUpa9IAMYg\nvWdnkUnGz5Fa4uhz5HDkAlJLHBmrmw5Hd4ObM8WDqlXZWa0aISVKQJkyJpe+BTYxD19aOdlNSjUV\nIygJ1p+LDEpcoV3vD1RFXpRLgLZWsSwLCCFT9ezYkfrPz95xyu8MMRCTmD4B4LFj6o/JJG7aoceI\niFSbA14PMFpl8eLFfP311wwfPpzPPvssyyaY83ap3rA8wMKF8NFH8v2SJdCvH57rZcz+559L1Qd3\nd5gbNJfFIYtxdnRmbd+1dKneJdOH7NevH6dPn+bOnTtUr17dQh8kRzEOGeqiG6sri/RQKSGzEkfG\n6qbj8rMjdOANheaY5sqzZ8ysXJmm/frR4KuvTJZtO2oUbRf8COVrWeTYKtZDSUesO6mT2C1E5hT7\nBONCpzblyRP44QeYYWgKgB3jVEB602OS8khqeEui64hFRpoup0ePHj1o27YtxYsXN19YRcUcGzbA\nyJHy/U8/gVbHsUcPOYNSo0lRfRjdZDSHbx3mg2YfZCpH2JIlS3B2dmbAgAFoNBq+/vprS32KnMhR\npGLLi8jA6AtIVRe7wKWQk8XaatasGTt37rRYezpW915NbGIspV2zlNJTJZMo6Yg9Rz5drNGu9wZi\ntO/NPeMvAV5Fpqeoq93mh3zCeKBdn0TqfCxZpnhxqbGV09B1xJ4npfeIXbx4kbi4OGrVqoWDQ+aD\neXMtOmHdNB4xUxQvXlzthKlYhv37pXRRUhJ8+WVKhwzZAVu3Tj4r6EYenRydWNd3XaYP16hRIzp0\n6ED79u3zWjyYMV4EaiPjxXSaURlNOm4VSpWwf42hphWsnnlDxQRKYsQGAW8gO1P3kfJGgwFn5Bi5\nKZYiZ5roI4A5yCz7DbBwJywnU9StFABPk56n2zdo0CD69etHVFRUdpuVM9B2Tlc97ciPP8rM5rkZ\nV9f0MlhZZdq0aVSrVo1ffvkFf39/3nvvPSIy0LHNs5w+Dd27Q2wsjBoFBoa5CxdOPZkjM1y5ciU5\nRtTLy4uTJ0+qnTCJHykJXdsi0yN1V1jXnExRTeAfpPPhwzT7QknJCKAkgWyWefDgATt37iQkJMR8\nYZUcg5KO2BWgK1BSu3RFzh6JRs6KNMUB0mfRh6xn6s+VlHevhncY1Hia3uN19OhRzpw5Q+HChW1g\nWQ5AmwR3/INJ+PrCo0fmq/j7+1OlShVmzZplZeMsjzUS0DZu3JhOnTrx9ttvM3r0aIoUKZKjtTiz\nhbt3oXNnePYMevWCefPS9bgeRD3geXz6h6uMMmPGDEaOHJksa1W2bNkst5lL6I2chX8HeBOoBxRV\nUE8nU9QJ6U0bgBzi1OcR4AsY+pMQyI5fA8CoIOuho5YLNbly5QozZ85k3Trz3tRVl73xZR4HLqvX\nib1jqiOmezqYb2DJqnKsL1JIdTHKfjBZ4uJF6NlTxo7ZM3VfaEbwQvhxj5rTJcNoc68VcZAxYs+e\nweGbhzl887DRm+CQIUMIDAzkjTcsE0hrC+bMmUPdunWpW7cuc+fOBeC7775jvjap3vjx42nfvj0A\nu3fvZvDgwUbbCgoKomHDhsnrN2/exMXFxYrW53BiY2UA2O3b0LIlLFuW7JnVcT/qPu1+bUf3Fd1T\nXYeBgXDoUMYO98MPP1CyZEni4+0m/MleiEbqICcARZAjNx4ma0iaIJ0KociYspXILP36PECmqjB2\n0s0+ETUuXd5cEcXoYsS+MhOoD1DaOZwaXKSIsxpzbO+YihE7q33Vn64nSJGRyCwLgC+176chE8e+\nZaigpeRNRo2Sf3wuLvD775lqInvQDTPcvSs9PHr5wi5fvkxMTAwvvvhirpyanmV5m4QEAPoW3cmD\nnu/i6gpjdn/GntA9bB6wma41uqar4ubmhptb+kSvOYXjx48TEBDAkSNHSEpKomnTprRp04bWrVsz\ne/ZsfH19CQ4OJj4+noSEBA4cOEAbI0lFQXpdX3tN3ofu3LnD7du36d+/f3Z9nJwlcSQEvPceBAVB\nxYqwfj04pQ7KjoiNoPPyzpx5cAaBICouikL5C/Hnn+DrC+acjUIIhg8fzoQJE6hVqxYuLi450nur\nlMwkwtRyFJliYhGy0xQFHFZQL6syRQLYhewE/kzqTPvJdPeqlIEmLUfb8pdoywJ11mQuI7OPxpWB\n05nYZzGJgYsXpcJI/vxCXLhgsWatQ5kyUhIlNLXURJs2bUTt2rVFWFiYjQzLXjL8/e/eLc9bmzZC\nCCGSkpJEiW9LCPwQN57esJ1dVsLV1VXMnTtXTJ06NXnblClTxLx580R8fLx44YUXRHh4uOjQoYMY\nN26c+Oeff0SHDh3EuXPnjLZZtmxZsXbtWrFmzRqxePFiERWVdckdpRg6r/Zyrg2yeLG83goVEkIr\nkK5PbEKsePm3lwV+iKpzq4q7EXdT9sUK8eyZ0sMsFi1atBBJSUmWsjzHgLIHfg0y6aqOKsihSSVk\nROJoKuljxHRjfqWQmQQMiblaVPT7/v374u+//xbHjx83X3jkSHmN+vubLdp7dW/hs8RH3Im4YwEr\nVfTBQqLfLYBfADeku7c+8A4wSkFdQ5QlJd9LD4x3xCxG9eqwdCnUrAk1alj7aFmkenXpEbt0ScpY\naMnkk2Le4fFj+aqdBXk74jaPoh9R1KkoFQobljBq3rw5jx49Yvv27VStmlbLIGcg9JKTCa14uaOj\nI1WqVCEgIIAWLVrg5eXF7t27uXz5MjVr1jTYzpUrV6hYsSK9evXKLtNzLhcuSJcWwP/+B/Xrpyvi\nu82XnVd34u7izl+D/0qVFqBAgdQZ9tNy7NgxvL1lftLhw4fTvXv3HCdKn81sAzy1769loJ5imSIj\n6O5jD5AJzpsg46JTMerHH3EPCgLMeHUVfMdXkDMRmn76KQ0amJP9Vs6R20e48ewGsQnpZ+yrZIws\neHZNcgT5xKE/TeOMwrorkPIPcUgX8HDklOJTyBixjYCxxCW27sjaBt1TzAzD4qx5hQx//wsXyvP2\n1ltCCCFW/bdK4Id45fdXjFaJjY0VISEh4vnz59azy0q4urqK48ePCy8vL/H8+XMRGRkpPD09xYkT\nJ4QQQvj5+YmKFSuKwMBAce/ePeHh4SF69uxptL3ly5eLDz74ILvMT4eh82ov5zoViYlCNGsmr7WB\nAw0WiYmPEZ2WdRIFpxUUR28fzVDzsbGx4sUXXxRLly61gLE5G5SHwPyKiWB5Ezgi+zaVgQJIr5ax\ncTw/UnvECiGdEyBHiw4BrxioJ2789pvSD6x8UUIGPGIVv6+oin5bCRRcx0qFzW6kWU9QWG8AUA55\nkXsg84oNQSaIrQe8DtxT2FaeIKZZI3ZXgRVnV6fafvPmTU6dOsXz51mffZUrefhQvmo9YgeuywdT\nn4qGRgskBQoUoH79+jg757zJERqNhgYNGjBs2DCaNGlCs2bNGDFiBPXqyVEZHx8f7t69S/PmzXF3\nd8fZ2RkfH8PnYv/+/SxatIgHDx5w7576czTJb7/JuLAyZWTSVgMUdCzI1oFbOfzWYRqVM68xePMm\nrNFmaSxQoAAbNmwgNlb1TGSAZsgUE1eRIyynkQ/75lAicVQG6UQYD3yGvBe6arcfQHbe/gW2IMXH\n0/EsqkomPlLWUWdN5hyUDE3eAHSpnwsAYzGiqZWTiImBsDB4wc7UMu95v0j7oeAad5zXwx/jXFh2\nLMaMGcO1a9dYtWoVtWqpwZfpuH4dgH2xzTj/M5Qv/RJdql/lpSovGSweFRWFs7NzjhVQDw8PB+Ss\nyPHjx6fb/9JLL6W6mV+4cMFoW61bt2bPnj2WNzK3ERsLkyfL97NmQRHjiTrzafLRsGxDo/t13LsH\ntWvfJypqOFWqrKJRIxdq1aql/saVUQU5FPkKmU+JZE7i6C6GZ2BGIsN0zHLw9rPkcdOs8gDZ8ysZ\nEmJ2aHJfWHUW0JpaYfsMBq+p2A9K7kIjgdHIGSa3kTlTRlvTKGtz6xY0awb+/ra2JD2V6rTE+2kh\nIgvA1jUpsiWbNm3i1KlT6h+0Ma7J0JDQfC8QHAytSvZg68CttPBoYbD4t99+S7FixVixYoXB/Soq\n6VixAu7cgbp1YeBAizRZujT061cKIUrQq9csVY80Y6zVvi5BpqBIu9gFZ8L+s1hbuhgxJXnEVHIO\nSjxiDwDL/OvYCSVLwiefQDbOzM8QA0t34Fjsn/ifXkJvZtvanJxBaCgAQ99yZKiCx88vv/yS0aNH\n4+io5CegooLMEwYwblyW0+THxcVx8uRJGjduzKxZGi5d+pmpU/NlOft+HsMB+BQpb/QBqb1iOgUX\nm1O1iuVkPpoBOwEU5BHrW/UYtc6soVXVVmbLqlqTtsXUXUh/Gq8uf5j++lgF7RvSmiyOHIuvhHxq\n6Qs8VWauZXBykrJw9spbw+fzxQ9/srfYUw5tXUDLV0dy79497t+/T9myZSlZsqStTbQvEhOThyap\nXFlxtdKl1T8dFYVER8O+fTK33+uvZ7m5y5cv06VLFwIDA/Hy8mLfPssJQ+ch+iPjjB1ICZy3O2pW\ns402cEbyiKlak7bF1NDkMWRyvGPIbMO697pFCYa0JiciO/U1gEDtuooeRdwrMja/fIqZuXkiJCQw\ne/ZsBg4cyKGMpuPOC1y5IuN3KlRIEf82wbFjx7h79242GKaSa7hyRSYNrlo1eUKIPncj71JyZkna\n/9ZeUXO1a9fm559/Ji5OzXqeBc4DM5AJwb8wsCghK1qT5upanAfIm6eqNZm7MNURC0BOCw4AHuu9\n121XgiGtye569X9FPtHYnE2bwJ4mJE4ct46vjxXljyXh8PXXzJw5k9OnTydnPlfR45R2gpSXl6Li\nmzdvplatWhw8aE4qVUVFS1SUfC1qWJEtKi6KR9GPuPL4itEmdu/ezZgxY5Jzv/Xs2ZNGjczPqlQx\ny7ZM1suK1qSSugCE3rTcTGQ1Rix3YospY6VJSVlxD+N5xLKN6dPlaMPo0dhNsKxLMXcm+67GJUED\nX3wB29NO7FFJRq8j9uZXO/AZs5Rdp08aLe7n50dYWBhNm6rueBWFFCsmX+/cMbi7jGsZHDQO3Aq/\nRXhsuMEyTZo0Yd++fezfv9/koc6dk5Mz7eW/KBeTFa1JJXUBaFDMcsmidTFiSrQmVXIOto5UNpns\nLLt05rp2lbGPAQHwyit2FD/28svg5wdTp5LYqxdXlyzhTrlytG7d2taWWZws6QzqOmL16rHyoyrE\n3O7E2Q4H6FDXcHEgR+YOy+3YtdZk1apQuLCccn3uHKSZvexSwIUWHi04cOMAv5/8ndFN5MTymJgY\nHj9+TLly5XB1deXQoUMULlzY6GHi4mDwYOjVC+LjTWfgz21YKyO5CbKiNam4rkuCbbyeqy57c5B5\n9L1cVk1fkYOJBCK0S4Le+wjA8COfYSqTWsboPDIZHki5o/NG6mVr9tuAACH69BEiPDxbD2uexEQh\nhg0TN0FU0WjEGx072tqibCFD33+lSkKAOHN4k6DwDQFCXLwSm65YeHi48PX1FWfOnMkeu1QUY+i8\n2t25HjFCZiofPtzg7rVn1gr8ECW+LSFuPbslhBBi5cqVolatWuLx48eKD5MHZSUNgvLM+n0BXe92\nClJuyHwSt6xpTSqtK8a9PlRMnTpVTJ06VezZs8fUBza73AfxNyjSmtzTfY6YxxhxcvJKs2VVrUnL\nsWfPnuTve+rUqRm5jq1KZVJ3xGaSEtg4ERlsaYhsP4F2+weYkCBEv34iogCixdsasXLhWFtbZHUU\nf/9hYfJPys1NTA2cIvD5SlR76YCIjExf9OnTp2Lq1Kmid+/e1rcrm7l27Zrw9PTMUB0XFxeD7y3F\nl19+KapWrSoWLVokfvzxR/Huu++KcCNPOobOq92d6wsXhMifX15vgYHpdicmJYpXfn9FtFrSStx8\ndnorOgQAACAASURBVDN5+7Rp00yKrasYBuU3MN39pRWwF+iKzHZvjmbADr31SRgPuk/bEVNaV5xe\nsEDpBza7/AOiA4hPP/3UfHuqxJFdgAUljjLLCuAwMs/LTeBNZMfrZeAi8BLGO2LZjt3m8HFwgOXL\n+cO3LYcrCPqHzeOzz1uREGe5/DQ5ln/+AUA0bcLqc2uh/Wf8+HMULi7pixYpUgQ/Pz/W6PRk8jj6\nQtLWEJVu3LgxnTp14u2332b06NEUKVKEgIAAix8n26hRAyZNku/79oXLl1PtzqfJx+req/njlT84\n92+K+Mhnn31mVGxdxSIkal+7Ir1UW5AqMOYIBqqTojXZD/jTSNm0PxDFdYsY+jPKJGqMWO7E2h2x\ntFqTS5EzMDsg01e8QjbnEMsI4RkZgLU2Dg4MmbaNkbdaoDkFXzscot2E0ty6cNTWltkWbUfsRvPa\nXH58mRLOJQzKGkVERGS3ZVYjKiqKV199lfr161O3bl3WrFmDRqMhMTGRd955B09PTzp27EhMjOyo\n9+jRg0aNGuHp6cmiRYvMtA5z5syhbt261K1bl7lz5wLw3XffMX++HHkZP3487dvLNA27d+9m8ODB\nBtsJCgqiYcOUEaKbN2/iYsGbkk34/HPo3BkePYI2bWS8mB5FnIpwI/QGgwYNUmWjso/bwEJkZ2gr\n4ISye1tWtCaN1U2HR6lSmfhIKir2gU3diatWCVG2rBD379vUjFRcvXpV1K5dW4wd0VOU/TifwA9R\n/BONuBPwox2Pq2YOxd9/ixbS/b59u3j8/LE4eP2gwWLNmzcX/fr1E8+ePbOaXWn3ZXRdKWvXrhUj\nRoxIXn/27Jm4du2acHR0FCdPnhRCCNG3b1+xbNkyIYRIjk96/vy58PT0TF53dXVNbkP3Pjg4WNSt\nW1c8f/5cREZGijp16oiQkBARFBQk+vTpI4QQolWrVqJp06YiPj5e+Pn5iYULFxq0s0uXLsmxLGFh\nYaJ169YiKirKYFlD58LW/wFGCQ8Xom1bed2VKCHEzp3pipw+fVrc1/vzuPXsloiIjVB8CG1oqPDy\nEiI2fbhjngDlQ5MuyJit6tr1ssiHfHtAnF5nuaHJ+yDWg1ixYkVytZEjR4pff/01/bo6NGkXYAdD\nkzmW27dh61awp4eZKlWqcObMGeYuXMfJMf/R+WkpOl8SlBk2Rk79vHnTfCO5ibg4OKbNLdy0KcWc\ni9GyYkuDRXfu3EnLli1xc7PbBNyK8fLyYufOnUycOJGDBw8mz8KrUqUKXtpcat7e3oRqZZ/mzp1L\n/fr1ad68OTdv3uTSpUtG2z548CA9e/bE2dkZFxcXevbsyYEDB/D29ubYsWNERETg5ORE8+bNCQ4O\n5uDBg/j4GJ6TFRISwtWrV1m7di3bt29n+/btFCpUyLInwxa4uck/h1dflZ6xjh1hxgz2792bnCPM\n09OTUto/jySRRP91/fH8yZPlp5aTJJLMHiJfPti1S04IVnMPm6UM0hN2CWiHDN4/YlOL9Fh1KMxi\nbUUBw5FecR0xMTEkJCSkW1912Rtf5nHgclmLHV/FOtgyfUUocvZlIjIPSxMb2pKO8eNtbYFpSnrU\nZNO3t0j4fSnsngjbtkHt2jIp2siRkBc0FI8ckRn1a9eGYsWYN08+NvbvL8WU9XFxccHX19eq5uhu\nwpldV0r16tUJCQlh69atfPbZZ7Rv354hQ4ZQsGDB5DIODg5ER0ezd+9eAgMDCQoKwsnJiXbt2iUP\nWRpCo9GksksIgUajwdHRkSpVqhAQEECLFi3w8vJi9+7dXL582WD805UrV6hYsSK9evXK1Ge0ewoV\nklmg/fzgq6+ImTSJj9zcqNiyJWu2bUsVc/fw+UOi4qK4/uw6gzcMZubhmUx/aTpdqncxGZunG8WN\njLTyZ8n5rAe8gWrAz8Am4A+giy2N0hETbbmn+cpIvUCGDEne5u/vn0ozV7fe8ON+/McWHu4fgw89\nTLarak3aFlt6xATQFmiAnXXC7J2jR4/SunVrFi5ahPNb78LZs9Cjh/zHHjsWGjTg8tbfbW2m9QkM\nlK/aeKUyZeD8+ZQk6EIIPvnkk1wnB3Lnzh2cnJwYNGgQH330kcnPFx4eTrFixXBycuL8+fMEBQWZ\nbLtVq1Zs3LiR6OhooqKi2LhxY7LHy8fHh1mzZtGmTRt8fHz43//+lyoGTJ9///2Xli0NeydzDQ4O\nMG0a/PknTqVKcTAigjF796JZuDBVNlZ3F3eOjDjCku5L8Cjswal7p+i6oiu9VpvupK5cCZs3Q6VK\n1v4gOZ4kZMxWT2QKiY+Rw5NKUCJTNE+7/yTyfqUjFDgFhGDCA1ekcAmFpigjP5A/f/7kdWdnZ4Pr\nLcuMASJp+UJXs202rdCU1pVa4+Soap7aAlsPTdrrPMV0PH8uNX/tgXz58jFo0CBGjRolN5QtC+vX\nw4YNUKUKp+//R80jQ+j1QXmunTKdxTtHs2uXfO3QAZAT2RYsgBdeSCni6elJnz59UrnyczqnT5+m\nadOmNGjQgGnTpvHZZ58le6700Wg0dOrUiYSEBGrXrs2kSZNo3rx5qv1p3zds2JBhw4bRpEkTmjVr\nxogRI6hXrx4gO2J3796lefPmuLu74+zsbHBYcv/+/SxatIgHDx5w757l5F3slm7d4MwZCvTpQ9uY\nGHjvPZkZWidEDzjmc+TNBm9y0fcic16ZQ8lCJWlTqY3JZuvXlxEHOX1+QzYQBwwEhiBnTILsr5hD\niUxRF6SnrTrwDrBAb58iZ0Ilj4cKTLE8/audZB4f0rr6A5scXyVncBX5JBEMjDCw32bBdWmJiBCi\nQQMhChYU4uhRW1uTnsTExJSV6GixYlo/UWgyAj9Ewc8Qk6e0EE/vXbedgZnA7PcfHi6Eo6P4u1o+\nsfHYchGXEGe0aFyc8X0Wt0slUxg6rznlXPv6+orff/9dxMTEyFk+JUrIIGlXVxkorf/71PIs5pmI\niY+xgbU5B5QH69dBesJ0migvIHNUmqM5qXOBTTRQ73/I2Zg6zpMiy3cNMOfuEgtmjlH6gZUvShg5\nUviCmKuXN9HX11fMnTvX6LqK5cHOg/VbIp8kOgOjwX5VGFxdoUkTGY7Uo4d9pbVYv3497du3T4nr\ncXKi/2cruTj0KIPCKxPrCNMdDlN1TmV2f/semIgPylHs24dISGBCdyde3zyI1WdWJ++Ki4tj5cqV\nyedE322vomJJhBA0a9aMTZs2yeutb18ZKtCrlwwVGD0a2rWDNBMkChcsTEHHgunaS0xK5Kv9X3Ev\nMg94Ei3HGaQw9wrt+lWU5ac0JFNUPgNlBLAL484EwLJakyq5E1tGdOvUcx8gJSmaAAf0C9iNzhww\nbx5cuCB1KE1IxWUrCQkJLFy4kFmzZqUblipfoxHLZl9jzI5f+GTHRxxzeUadaT+D/zYpIj5kiIxx\nsRMyrDO4cSOHKsKJws8p6VyK3rV7J+96/PgxM2bM4OjRo8yePdu6hqtYDLvWmjSCRqNh4MCBDBw4\nMGWjuzusXQvr1smO2P798P/2zjxMiupa4L9hAIcBxGEIA4gwoqIgICqIKALigiz6jPo0ynNFRCUJ\nPE3ckijGuAS34ANRcImKGhQVkQQh6AwiAkIEFVkUBVkUkG1GBpj1vj9O1XR1T9V09XQ13TOc3/fV\n111Vt07dqnvqruee260bjB8PI0ZU6zn68Vnv8qfbT+GRq07hjgEjub337TRueGiMTcax1mRH4CFk\neNFeRNYgPWPV4bfHzSvB+gA/AL9A/KyuIaIMA5idv4zZm8cCB1+Hx8tNQ/uWX8DI/REjRvDTTz8x\nefJkmjZtylNPPcWdd4rJ3P79+8P2lepJwpqpNSYTsP0INAYWUtXvS3L7E11wGWFIKYqLi82nn35a\n5XhFeblZ99Zz4pTI7tru3NmYGTNS1v9YtelfWmpMixbm8stk+PXsG983vXsbM2dOKEhRUVFClpVJ\nRb2sC7i91zrxrnfuNObqq0Pf3ZVXGrN/v2fwL7d+ZXLPm2Xof69hLKb9k+3NnHVzPMPXZfBfUVqI\nOAn/AmgPjAUe8HGdn2WKngF+5dh3Dk06iVwCycaY2bP9PnDgQ5N+/Yj1uaeP6fTrTubbbd+anTt3\nmqysrMpzzv2dO3eaZ5991rzxxhv+4qCk9NBkDtJyWIGsCTYLmJukuPimXrKnNlSDMYZRo0Yxbty4\nKufS6tXjmEuGw/LlMHUqHH20DJ9cfDHLL+hO/oy/JSHGcTB/PusqdvBWZ6hX1piVM89l0SJYvfpT\nduwQw9jMzExdVkZJKJ9//jndunVj0qRJ3oGaN4eXX5bvrnFjeP118cy/f79r8C45nfluzhDmTRlA\n91bd+b7gewZOHciMNTMS9BR1gkbIEGEa8D1SERvi4zo/yxTNRCYBgFTc9gDbqNqZcD7haypX8s7C\n7b4eImhi8SO28RcbWd1iNekN08nIyOCOO+6oPOfcP3DgAMuWLWPlypUA3HjjjWzZsqUybOT+6NGj\nWbNmTVCPVGdJVtViPdDd2roADycpHnGzc2eyYyAYYzj++ON54YUXKo85nfwBUpMcNkx8PDz1FOYX\nLfjtkV9w9uf/y9ljsvho5v8d5FjXkOeeY1IPKK8HQ5rdyb6idE49FQoL53LmmWeyfXtyMj7l0KJb\nt25MnDix0qFutQwbBosXywzn/HzM6DF8/LFMsCwvDw+algbnHNuPpSOW8sg5jzDo2EEM7RjdBcEh\nzAFkBuQ6ZNmhS5DKUTT8LHH0L8TmbB3io8yaqk4rfHYmtBl3rxgaV7clwN4lp1EhHfmaZo1KYrou\nMzOTu+66y3W/TZs2TJ48mfvvvx+A+fPns2/fvsqwzv2VK1eyZMkSZsyYQUFBAbt27aoM57Zfl5ah\nq0sku0exWg4cMOamm4y54IJkx8SdtWvXmi5dupjiatZHKd2zyzxw/znmiLvSDGNlmG/A6Cyz4L3o\nXdmJxjP9t241pkEDU1I/zbww71Hz3a7vzMaNxtgjsu+9954pKytLWLyysrLsrmbdAtycQyFRdaA2\n88UXxtSvbwYwr3KU6c03q7+kIkXNBxIN/ocmT0N6p44C/o44eD3d57WJxt9QY1paUocma7rEUV5e\nntm7d6/n/o4dO4wxxjzxxBNmzJgxlccj9x977DHTqFEjs3HjxpjuXxsghYcmaz3GQHY2TJuW7Ji4\nM2HCBG6++WYaNmzoGaZ+syz+eO881o9Zz1j60+wAfJi1m0s+GsX+gQPgk08OYox98uijUFpKg8EX\ncv05v6Pg+wI+++xdevaU00OHDiU9gZMQdu3ahTFGt4A3Z+s41Vm/fj033ngjxcXFUcOWlkJYQ79V\nK2jcmB4sI6dFGffcA337Vi+jOu/7CiDOVH9GZjdeh/SIVe+5+CCysmWyY5A4+vfvT2OHo7vI/exs\n8e5x+OGHk5WVVXk8cr99+/bk5eWRlZXFyJEjKXS4JnDbnzp1akKeR6lKTLVOJZyysrKwlvTIkSPN\nokWLqr1m99YN5t77+pqn+2SEWl4DBxqzeHGio1sF1/T/9ltjMqy4WYtJr1692rRo0SLqsym1j1TK\nAyoqKir90ZWXl5uhQ4eaBx54IOp1Dz1kzJ13GunJHTfOmJwcY8AUntTHlJZ493SVlJWYhRsXmllr\nZwX1CLUO/PeI9URm3i9H7LS+RAz3UwEz6agE9IjFssXRI/ZD4Q8mb31e2Ja/Pt/sLd7rISl+WrRo\nYbZv3+66X15ebkaNGlWrfJ/hX4+TQrSlJSofJC8vLyEv6FCR++mnn5oOHTqYoqIif3J37jTmD38Q\nh5T2xzxokCn8JLb7x/MenOlvjDGmpMSYs84yBsyfu75kVq/eWXlq6dKl1Q7BBh23ZMpOtPxUkl1F\nB5IQB5v77rsvrOL1888/m7KyMvPNN8bccYcxPXvmmV/bfjsrKoxZv96Y6dPN/GHPmguPmB9eMPbp\nY8ymTWHyi0qKzMsrXjZ3z7vbDHhpgMl8MNNwLabD+A6BDk2mWt5UHfgvwL4GLkLcVeQ6tiDKIfBe\n4sjPtebl9sFXxPICrogt3rTY/O31v5n9peEzep//7PlKsxXndsHUqjY5Wwq3mLdWvRW2zf5mtpk7\nb25M6T59+nSz3zGzOHI/Ly/P5OXlmVtvvdVMmTKl8ni0/Wgk6tsghYcm/SwtUUmifHIELXfVKvjy\ny9SLb48ePVi0aBGZmZkALFq0iDFjxnjLbd4c/vIX2LAB7r4bGjem/P3Z9J56NkP/N4f/fOCvWziw\n91BWxrzfDGH5NwsgJ4fFORvp3fumSiPnHj16VDsEm9C4HWTZiZZfW2XHG4eioiLWrl0LSOn1wQcf\nMHz48MrzJ500iClTZmMHaFJSQvrXX7Nz7n8YNw6WLs3ng5c3i+fn5s3h6KMpvuIyjp05kgcb9iP/\nuAa8fnV3nnz+RlkrrW3bsPuXV5RzzYxrePjjh/lw/YfsK91H8+3NuajjRewvc59hGeTzp6pcn/yE\nzG78Dln/0d6iEc8SR77LsKKKE30+hn/yfYSZxuUya/KPc6BTp2q3Xuddx+6/TCEjPdzJcKsmrejX\nvl/ldkKLE2jfrD3ndTivyv2WbF7CpW9cGrYNenUQj732WJWwRSVFjHl/TNj2+CePU2EquPTSS8nI\nCK15Gbnfv39/8vPzKSsro9wx0yXafjSSqcPJcuh6GjILZYO1/w/gv5AZK5X4eTH5+flhDvLsfedx\nW4593A/R5Eb+TpqUz223wRFHiK/UoOQGFd9Vq1bRsmVL8vPz+fOf/0yvXr2iy87OJv/88+l/2218\n9fgdrNv0Il8dt51/fnw1Z0z6LRN+PZECWscdX6//AD99vpgHx/834/ds5ohrYNkFE5l++hAuvHAY\nhYW7w+wMFMWmoqKCPXsKaN5c9KOwsJD58+dTWmKYPbOUrset45FHH2XCvfdCUREfzVnOZfeMI7vp\nQo44rIS3h81l1rRpmEaNSCss5KSN6RRte40XBzRn74EC9qZXsLch7K6XyR/Sfs835h88VPgKLP0O\nANMim2a37qa4XoUVo1JgBWxawYiyJ2nSsElYfJse1pSRp44kp3EO3Vt158x2Z/L0o08z9oKxB++l\n1V7uB55HXFjYUwQNYrRfHX7KoYuAl6z/S4AjkBmTR/u4FoAdZW0R5/8Hl/n0YxK30mn3as7aHemV\nw4NNm6Bdu8rdwccNZvBxg31d2rppa355wi8r999Z8w4AXVp2qRL2QNkBxi8ZX+U4wO1nVHXHdsX0\nK5i/QRZ7NhhKlpQwc+JMercLrZ07YcIE0tLS+OHnH1i8eTH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aKjM9vP56yuzJLLNvH3TvLp/Un38ur289TlhsQiz9N/dn8+XNLHl7CZ82+tSk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\nnoRJjAVyIKQMcbqvLtCZSTSlFZx5JpNS55KcVbbXdszK63j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{ "metadata": {}, "output_type": "display_data", "png": 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kZ6VLtQ+qSfvJ7WX/4f1St25d6dSunUhQkEi5ciI2fI6K+MfglaYgDv8va9eK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\nFuV8oyjDvQPVT7rTdKy5y2CfA/mZt5ujYmcZTcc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mF9TeUIBW1qk8xeX7kpQk8sgj6n4XKSLy88++EcyGq1evytixY53eeVUQIIDd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\nWSQ0VJXHvfe6/RRHbY3KtEr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"output_type": "stream", "stream": "stdout", "text": [ "6e+17\n" "6.3376e+17\n" ] } ], "prompt_number": 18 54 }, { "cell_type": "code",

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J4o2deipMnAjbbx+eXCVCVvIMfvutLJZ16piSXISUXK7JAw7Qs+KZZ5Ryy0hI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\n5e5nk2dQ5O1c1dMA/Q575qC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HP8761YCT0MyUJShuyr98Xn8Lyvm1Dxq3vwQlRnWAe9HMy3YUghIWtoiZIlb89Oih9Vtv\nBSuHYRQSn38O7dtLCdtzTwVALn4lLBP8JO7+DjgcDW/eSiTpN6gf64b6sNhKmGH4IJEi1hMlU52H\ncm09jWZMnoOiGPthKco1CRrSnEMkH1dhjQWaIlY6HH64hlymT4eVNq/EMJgwQanAfvoJOnWSEtay\nZdBSBY2fxN1TiKRLmgrsFvV5YfVjRlGSSBEbj2KGdUDO+a+TWV7IMvTm8F93/zLgcxQIb8cMrpsd\nzEesdKhVCw46SEr1J58ELY1hBMsjj2g4Muwb9s478lsyUk3cfR7whmffAd4BpgPnZ106o8KQyEfs\nQGSq/QCYj4YmK6dZT23gJWAwsow9DPyf+9mtwD2okZcjkBxdZhELhKznGWzfXm/9U6fKZ8woeCzX\nZJbZtg2uvRbuvlv7N9yg2ZGV0gkfmXsyyDXZFxgGNCJioXKAuknKpfKw7w4MBDp5jnVC7jq7AG8D\nc1FU/3IMHTVKE4ewNlwRyKAdJySEGtyDqNGNBy5IofwOKA3EFXE+LyN2qAwnr7z5puOA4xx1VH7r\nNWKS8f1/7jndz969syOQkXfy/gwoJdatc5y+ffUfqFLFcZ54ImiJUgb/itJ8tvft8kMHyvsnXw9c\nG+O8tmgIc88E1xrC9vmZARxn/PhgfsBBg3T/hw8Ppn7DcRx/7djPq5GDYrRcisbH/4EasB9CaOhx\nNpqZEqaJZ/tEYiti+cWGJkuL9u21njYtWDkMI98sW6YI+aNHK93XhAkwcGDQUuWSpaSX53E6sBcy\nBlQFTgXGRJ3THHgZOAMpY2FqonzMoGgCPSiEfswoShINTbZAbxpetgJvuUu8c7x0Qg34C5TsG+AG\nNOR5AFLyFhBJsho8NjRZGpSVyVds+XL49VfYeeegJTKM3DN7tjJKLFyoQKJvvKH8q6XNdOB54FVg\ns3vMQQpUIvwk/b4ZBTJ/2D0WDlPR2HP9KsCzRPpFw0iJRIrY35GmPwY19CXIwtUERTLug+Kq9I93\nAeAjYlvdxqcjbE6xWZOlRSik4K6ffQZffw0dOwYtkWHklvfeg5NOUq7VQw6B11+HRo2Cliof1AM2\nIKuUl2SKGKgviu6PHvFs/8ldovkOGRMMI2MSKWKnojHx/sDfgHCehu+RgnUZaoylgSlipUfr1lLE\n5s41RcwobUaOhPPPV+qiE0+EUaOgZs2gpcoX5wQtgGFkQrKk398Ct+VDkMAxH7HSo1Urrb/5Jlg5\nDCNXOA7cfDPc5j6mr7oK7rgDKqc7wb0oaYYytnR29z9EM/R/Ckwiw0iBwpzHHCRmESsddnNjLy5e\nHKwchpELNm2CM86QElapEjz0kEJVVCwlDGAEcqFp6i6vu8cMoygwRSyMDU2WHk2bar1kSbByGEa2\n+fVXOPpo+Pe/oXZt+YMNGhS0VEGxC1K8trjLSJTf2DCKglwrYs2A94GvgC+By93j9VEAvG/QTBOL\nrG9knyZulBRTxIxSYv58+TxOmgS77qp1795BSxUkvwJnopmPVdBM/V98lu2FArHOI3YMsdNRBpgv\nUBintimUNQxf+FHE3vV5LBbxkn5fhxSxlu61rvN5vdwRjja9dWuwchjZo3FjrZcuDVYOw8gWU6fC\nYYfJ77FtW0VsP6DCT94bCPRD8cSWAKcA5/ool0nSbz9lDcMXiZz1a6CgdbsgC1aYuiTOx+VlqbtA\n+aTffYCu7vGngIkErYztsIPWW7YEKoaRReq48RbXrg1WDsPIBq++CgMGwIYN0KMHvPgi1E2WxadC\nsBD4YxrlvEm/IZL02xscdopn25v0209Zw/BFIkXsQjTzpCnwqef4GvQmkCplKOn3VJQTbJl7fJm7\nHyymiJUeNWpoyHnTJlk6K54Ts1Eq3H8/XHGFfFjPOw8efjjyzKq4XAvcATwQ4zOHiCtMPGIl/W6f\n4Hxv0u9UyxpGXBIpYve5y+VoanAm1AZGI8VuTdRncXMx5TXhryligZKThM+hkGIprVsH69dHLGRG\nQWJJv2OwdSv85S9wn5sh7tZb4cYbS9KnNY1kybPd9aeU70NC+MtTmUnSb99lLel3xSKdpN9+/80d\nkUXLq7g97bPsDsBYFL04nG9yLtANDVs2QQ79raPKufky88Ts2bDPPoo9NXdu/uo1YhIKhcjK/W/Y\nUGmOli6tKFHGS4astYFiZcMGhad4+WW9KD75pPYrCCEpm376qH7ACz6ORdMBGIr8vEBJv7chK5uX\ntihKfy8i+Sb9lnWc8eOhVy/yzsUXy3I6fLi2jUDw0479OOuPAu5GwfIO8Sy+ZCB20u8xwNnu9tko\nR1iwVK2qtVnESott27S2YUmjmFi+HI44QkpYvXrw5psVSglLket9Hosmk6Tffsoahi+SRdYHOAjN\nCknn1TRW0u/rgWHobeU85OzYL41rZxcbmixNfv9da1PEjGLhm28UjmL+fGjeXIm799knaKkKkWOA\n3shf634iVoc6aMZ+MjJJ+h2vrGGkjB9F7Es0fJhOePJ4Sb8BjkrjerkjnJdt/fpg5TCySzgcSRU/\nTd0wAmbqVDj2WAVsPfBAGDs2Eg/PiGYx8g873l2HfcPWoLBJfkg36Xe8soaRMol6p9fddW00tPgJ\nsMk95qAQFKVDeBr4qlWamVSCzrAVks2btTZFzCh0JkyAvn31Mti7Nzz/vKLmG/H43F1eBtYB4SCQ\nlYFqQQllGKmSqHe6J29SFALVqmnZtAk2blToA6O42bBBiljVqlC9etDSGEZ8Ro2Cc8/VUPrZZ8Nj\nj1l4Cv+8hUZYwgEDa6Ihw46BSWQYKZBIEZuYLyEKhrp15SS7erUpYqXAihVa169vFk6jcLn3Xrjq\nKm1fcw0MG2btNTWqE1HCQEOTNQOSxTBSxs+syTUxlp+AV4A/JCn7JArYOstzbKhbfoa7BDCvNw47\n76z18uXBymFkh5Urta5fP/F5hhEEjgPXXhtRwu65B+64w5Sw1FmHJpWFORjY4LNssnyRrVF0/Y3A\nVVGfLSQyEe0T/+IaRnn8OM78E0UQfs7d7w+0QI3vSRQPLB4jUNRjb8wxB7jXXQqL3XZTDLEff4R9\n9w1aGiNTfnHz/poiZhQajgOXXw4PPij/xREjLDxF+lyBZuEvcfeboHASyQjnizwKWARMQyEovLMf\nfwUuA06IUd5B/d+KdIQ2jDB+FLE+lM84/ygwE709JIvVMgnFWYmmMF/5mjXT+scfE59nFAfff691\n8+bBymEYXrZtU4DNRx6R/+Lo0XDccUFLVcxMQwm3WyHl6Gv8ha/wky9yubscG+cahdmXGUWFn6HJ\n9ejtopK79ENmWkgvthjoDeNzFHtlxzSvkX322EPrefOClcPIDmFFrKwsUDEM439s3Qrnny8lrHp1\nGDPGlLDs0ArFuzwIOA04y0eZWPkid02hTgd4BwV3PT+FcoZRDj+K2OnAmcDP7nIWCtJaAwW0S5WH\ngT2AA5ApuXBmZ+6/v9YzZiQ+zygOFi7U2hQxoxAID0c++aTiFo4bBz17Bi1VKTAUBXR9AA0V3om/\n8EqZ5s/qBLRDgWUvAbpkeD2jguJnaHI+EO+V7aM06vzZs/04kXhl25H3hL8HHKD1Z5/pzdWiseeN\nnCR8/u47rXffPSPZjPxQ8km/hw6Fhx5SmJyxY6F796AlKijSSZbscjKwP/AZcC7QCHjWR7lFQDPP\nfjNkFfNL2CdtOZq8dihyxymHJf2uWGQ76fe1KIHpAzE+c4DLfdZRhpSt/dz9JkQa8JUob+WAWHXk\nPeGv40CLFrBggf447dvnt37jf2Sc8NlxYJddFKH8xx81EcMoKkoq6fcjj8BFF0GlSvIJOyGW77fh\nJYWk39NQP/IpcASwGs2EbJWkXBXkT3YkitL/CRrWjJWqaCiKGBAewamJnP3XALVQLLNb3LUXS/pd\nwfHTjhNZxGa76089xxwiaST88BzQFWiAxuKHINPxAe41FhDJ6xU8oRAcc4zeWl97zRSxYmbJEilh\nO+0Eu6bi9mEYWeajj+BS14vj0UdNCcs+01A+yMeQv9Y64GMf5fzkmmzsXr8usA0YjHzRGqKI/qB+\n9Fm2V8IMwxd+UhyNdNe1UANPhdNiHHsyxWvkl/79pYiNGAG33GLRrYuVL77Qum1bi8tkBMfPP8PJ\nJyti/pVXwnnnBS1RqREChgErgX8hpaoumgzmh2S5JpdSfvgyzFpkUDCMjPHjrN8RWcfmuvsHAA/l\nTKKg6dwZ9tkHli6FZ54JWhojXT53n8P77Zf4PMPIJZdeCsuWQdeucOedQUtTqrzh2V6AfyXMMAoC\nP4rYfSj6sBsdk5louLE0CYXgejc82k03wZo1wcpjpIfrHMtBByU+zzByxZtvwosvQq1aMHKkJZ7P\nDQ5ynzk0aEEMI138KGIAP0Tt/55tQQqK006DQw6BxYth8OCgpTFSxXFg8mRtd+4crCxGxcRx9CIH\ncPPNFkIlt3RAaYi+Q+n0ZqHUQ4ZRFPh5RfsBxUsBqIpmS8aaVVI6VKqkN9iDDpKvWPv2cGHhzCkw\nkjBvnvKFNmyoWbCGkW9mzoRp05S/9pJLgpamVNkDDUX2wCLcG0WMH4vYIBSsblcUd6Wdu++HWEm/\n6wNvA9+gWSaFE1nfS5s2ctoHTf19/vlg5TH847WGmaO+EQRjxmjdr5+GJo1c8JK7fhKlKYpe/JBJ\n0u9kZQ3DF34sYsuJHefLD7GSfl+HFLE7UeO9zl0Kj3PPhUWLNMRw2mlyur3cb/g0IzA++EDrTp0S\nn2cYuSI8a9eGxnNJZeBGFC/sz5S3ijnAvT7Kp5v0209Zw/BFIkXMG8g1HD/Mu+9HI4mV9LsPEWf/\np4CJFKoiBnDjjYq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{ "metadata": {}, "output_type": "pyout", "prompt_number": 26, 62, "text": [ "0x7f7c31263110>" 0x7f817f8ab5d0>" ] }, {

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Y8BRUbZRrW76CWZfATb3hH+fDzrUBfz97Cf52Bjz5Y9i0PNhPRUlzIvXa+gVw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\nsr2zoEKiKIrSTuIhJNFM+dk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"text": [ "0x7f7c33959bd0>" 0x7f81829fd790>" ] } ], "prompt_number": 52 63 }, { "cell_type": "code",

] } ], "prompt_number": 28 64 }, { "cell_type": "markdown",

], "metadata": {}, "output_type": "pyout", "prompt_number": 111, 65, "text": [ "" ] } ], "prompt_number": 111 65 }, { "cell_type": "code",

"outputs": [ { "latex": [ "$2.13349\\times 10^{-09} "$1.12677\\times 10^{-07} \\; \\mathrm{Ba}$" ], "metadata": {}, "output_type": "pyout", "prompt_number": 110, 66, "text": [ "2.1334897576936914e-09 1.1267670573632951e-07 Ba>" ] } ], "prompt_number": 110 66 }, { "cell_type": "code",

"language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Excess work done on this call (perhaps wrong Dfun type).\n", "Run with full_output = 1 to get quantitative information.\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 124, 67, "text": [ "0x7f7c2ff7a050>" 0x7f817fa83610>" ] }, { "metadata": {}, "output_type": "display_data", "png": 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PlohIqUB1ZQUYiCWCAdg6z7/GZlN1nBNdWSsSEwPPPQeFhXDffU5HIyJysmB0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\n", 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O/k9yT+bytx/+xv9+878cOnaIjk07ktAgwekwRSRC1aRxDpOAiUATbFrvRaWe97vkAPDg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\nIBGRcFMTeis1xBJ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