From 3a2f92bfbfa1c64ee63067c24d9528ffaf5b1745 Mon Sep 17 00:00:00 2001 From: Kees van Kempen Date: Mon, 28 Mar 2022 15:24:41 +0200 Subject: [PATCH] Final: Improve markup of overlap integrals --- ...l - Tight-binding propagation method.ipynb | 219 ++++++++++-------- 1 file changed, 116 insertions(+), 103 deletions(-) diff --git a/Final/Final - Tight-binding propagation method.ipynb b/Final/Final - Tight-binding propagation method.ipynb index 9f1f36e..81932a0 100644 --- a/Final/Final - Tight-binding propagation method.ipynb +++ b/Final/Final - Tight-binding propagation method.ipynb @@ -220,7 +220,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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1fZJYU4MKDliGz6VCK1Aa/Sm+kKzay6nDL1t+jH4FNZOfQSKpddL3tHODVJjer6DmZsFx8IIOB2nQDjbyfN8Gny8ZeJ7EttJ3G2gFh1z7U3zF6hSOZeF00v9+vaa/0a5N8eWQlou0098ghERULPbODBWLRSzLwvPSxw+JKNevoIxpbHuZCPe3I7Fk+7/DWaP3+mzLGSzaDp6CG5ALjXGM2wB4yUtewlxf3VcFJuYclJTyUPixEOLPgU9KKf/mgi1ogrEYkFB/im9bQFbn6h12TqXsZtAMCKo403ssJKjWsq+mUmCp7RPI+QoKfHUVfpwU7nJIUL34+oz/sbuy0v04KUIFVaisJSgAq+lgFtL9WXUVVF+KrxCcJWrXa1TmtqWKHyoovT/FV/Q/9loOei5dN4lBKb6QrNrt9prHk8C2/d9vfw3KJysPx6mTy01t8JXRsOj4BN5fg5o2dDyg7npMGWr6IQLw6V+DU/eriwew6znwiuETbVWP2xgXNo2ghBAfBm4F5oUQx4DfAnIAUsr/sVnreDZgOSCo/hTfVMH/eLWtIE3TCorx/TWoQkAaY1JQISktW8sc4ECq+GGtaU0NKrBsu6vpFVqooIprCMr/2Go6VFPeRA4mKP/jlhKCGqCgiv6m67Xsrv08KQal+MJpuq1WSwFBDU7x+c8tpSaoUEH116CmA7JacVy1BHWBkI3bOA9SyttjXPvTY1zKlsdScAffr6Cmgjvg1ZYKghqQ4gvVTlifSoElK1BQfeeg+gkqLZwwxdenlPQpv57jripI8YUKqj/FVw4VVPrXv7UaElRPSRYDy3a7np5guzWoDRRUWmyU4gNfQaXFwBRf8LHtLJN2cGdYgzpfQQGs2E63N58SjFA644LqcRvjwsSk+DJER1hnmu2rQU0HG8yKEoIKFVSfSSJM9ylQUANTfGYvxZcW3moNhEDrq+GEH3ur6Y0GrbqN0ARmsffnUwgVVCP9Bt+qrSI0jXy/AgkME+2aCoJyQANR6G3AWvCzeG0FNbRWC9M0MfpqOP0KKi1sewldL6HrvVR2v4JKi2XbpaxrmFqvRB8S1PJF1NF8EhTUJJkkMkTEUrODrgmm+modXQXVVuA0ai6C0CHflypRqaDaS5SMEnm9dxcXqikVBOXWamiVCqJvg9Gn1aX4rIZNvmSsmT0U1qDaKhRUbYVCpbpm/SFBqXDyeU0brZhbs/6QrFQpqH71BD0FpYKgOvYiOWNmzWOhgnLs9O+fRcdZo54AZoxeii/DYNx+++286EUv4pFHHmHfvn38yZ/8SeqYmYLaglhq2syct8FU8wZCqFJQi7566h/+plBBLVvLa9J7AFWzikCw0lGgoGo1tGplzWN6VV2Kz2o55Itr/3RCR5/VTL/Bt2u1NfUn6E/xpT9L5DXXHtKFnoKSCgi23W5vSFCqUnw5c3bNY4YxHTyXXkEt2e4aBx/AdFCPejYQ1LjGbXz4wx9WEqcfmYLaglhqdNYYJAA0TVDNG4pqUEtr608Aeg5yZSUKqtapUTXXDkbQNZ2KWWFZAQG6tRr6eRu8KBYhl1OS4uu0nK5iCmHmdYRQU4NqN2pdxRTCMPPohkG7oYCgGmvbHEFfik+BgrIsa02NA1Sn+JbXKSjD8F8v20mvkJfsIQrK3voEtZWQEdQWxErL7tac+jFVzKkhqObi2vpTiOKMEgVV69SomJV1j1dzVeq2gg14dbWrmEIIIdCrVSUpvk7LWVN/Ar/hqlkylCgoq9lcU38Cf/1mqUynmb6f3SAFJXQNYWpKalDtdrtLSCFyuRyGYSghKMdZxTDW3oBoWg5NK+IqISiX2dza16eia2g8OxTUVkJGUFsQjY5LOb8+OztVyClK8S2vtZiHKMwoUVB1u75OQQFUzAr1TnqCcmu1NQaJEPrUlJoUX3N9ig98q7mloF2Q1WyQL62fPJsvlbAUdGPw2k5XMfVDKxpKFNQgggI/zacixec4ta5i6kfOmMJRQFDLjtNVTCGEEEwb+kVlkpgEZAS1BdGwHCoDCGq6mFNzDqq9vPaQbghFCqreqVPNDSCoXIWarcClNkBBAWjTU77DLyUGKSiAwhgVFEC+VMZSkeJrO2gDDhOrIqhBKT7w03xqFNRggtKNamqCklJScwYfxp3O6axkDWM3FRlBbUE0LGewgioaahSUtbrWwRdCkYKq2Ruk+MzqeBVUdQpXQQ3KarsDCSpfztFWQFCdZgNzTApKSom03DUW8xCiaOClfP94njdUQaUlKM9z8LwW+gCCMhQQVNuT2FIOJihDz1J8m4yMoLYghiqotHfAUoJVg/z6DUCFgpJS0rAbVHLrCapiVlLXoKTn4dXr6NX18VWk+FzXw7HcdSYJ8K3maU0STqeD6zjki+sVlFksY6WsQcmO63cyH6SgCgaylW4D7gS9AseV4nNd//1hGOt/v4ZRwXHTEVTd9X/+ygCCmjGMjKA2GRlBbTFIKWl0XErm+j8gJTWoTgOkN5igFCioptPEk97gGlQuPUF59TpIiVZdr6C0qWrqFJ8dbOCD+u3lS7nUKb6QgAbXoMpYrXQKKjRBDFJQKlJ8luWPfBlXii9USINSfL6CSqeQVwMCmtLXb43TuUxBbYSjR4/y0pe+lGuuuYZrr72W97znPUriZuegthgsx8P15MAU33QxR8t26TgeppHw3sMK/sALA1J8xRmwG/7IDSNZu5ewW/mwFJ+Ucs0Zrzjwgk4LYWujfuhT07irq6niW8ENwMYKykkXP0jhDa5BlVK7+GRwkFsb8P5RQVChQhqkoAqFQpfAkmI0QaW7AakF42qqG6T4ljOb+UAYhsF//a//lRtvvJFarcZNN93Ey172Mq655ppUcTMFtcVQt/wNZFCKr9dNIoWKsoI/8EE1qPAxK/kmENaYNjJJuNKl5SS/y3YDgtIGmCT06SlwXbxGchXSCRXUgBqUWdCRnsRNMbIiJKBBNSizVKbTauF5yTfJUEFpGygo2XGRbvL1DyOofD6PZVmpZmZ1CUofF0H5r89GBPVsUFDjGLexe/dubrzxRgCq1SqHDx/m+PHjqdeaKagthmYwb2hgii/YNFdaNvOV9SmWSGgHCmogQQWbQqcG5WQdtcMU3kYKKrymlEvW8To0QegDTBIhaXm1VfTKegKIAitQGIMJyn+s03YxBvx+IsUfoaAAOq0WhfL61y8KQgUlBqQow8e8toteTnbvOizFFz7W6XQGPh8FQxWUXsXzLDyvg6YlU/irQQ1qkEmiquvYUmJ5HnlNzb39f/rWf+L7i99XEivE1XNX86sv+NWh14xz3MaRI0e45557uOWWW5L9AH3ICGqLYZiCquZ9BVVP048vTPENqkHlg00xhYJa7fjxB5okgsfqnTo7SslmTnnDFFQwU8lrJE+TdYIa06BzUGagSjpth1LCkRVWa3gNyl9DMzFBedYQBZX3H5OWC+X1B8GjYJiCMk3/NdnIhh4Fo1J84TWmmewGKlRQlQE1qEqQNq85HnlzayefxjVuo16v87rXvY53v/vdTA24SYyLjKC2GBrB2OlBNajwsYalgKAG1aBC0rKSGxm6Kb4NDuoCqc5ChZ0iBp6DKvsbvJein90wBZULFIidohvDcJNEac01SeANU1AhQXWSr39Uig9IVYcKXXrjIyg/vTlIQVV0/7GG6zKvaOscpXTGhXGM27Btm9e97nW86U1v4rWvfa2SdWYEtcUQks8ggqoGm049FUGFNagBCioklTQ1KHtjguqm+FKchfKCYX+DFFRIUG4aBRUQ1CCTRL+CShw/SPGZA1J8YV0qDUHJYTWoboov+fqjpviSYriCmlpzTRLUghRfVR+Q4gsUVD1FjW4rIY6CklLylre8hcOHD/PLv/zLytawtXXqRYhGkKIp59f/AYWkpYagRtSgEqLr4huS4kuloAJ1FKbz+qEpSPF1FdSADT7XV4NKHD80SZzXDRz6FVRyk4fXdkCAyK1fv+hP8SVEu91G13VyufUpQiUKyqmhafmBNaaegkpuNV91XIqahqGtd2GGCqr2LDBKqMZXv/pVPvCBD/C3f/u33HDDDdxwww3ceeedqeNmCmqLoaugzEEpPn3NNYnQHm8Nqm7X0YVO0Vi/AStRUI0GwjQRAzbIXoovnYIy8jragBpFSFp2GgXSbGIWi2jaegLp1aDSKSiR1xEDNuCwBuWlJKhB6T1QR1CD1BP0E1Ty90/NcZna4IhGWJfa6gpqHOM2XvziF6dyZ26ETEFtMYQ1qEEmiUpXQaW4w7NqYFZgwAapogYVdjIfdE6o3ySRFF6j0SWi89ElqDQpvrYzUD3BWhdfUlgbtDmCHkGlVVCDukiAGgU1zADRb5JIimgElSbF5w20mEOvu0Q9U1CbhoygthhCdVQakOIr5nQ0kdYksTJYPYFPXJBaQQ1K7wGUciUEIlWKz2s0NyYoBSk+23IHdpEAyCmqQQ1qcwS9ulQqk4TldonofKhQUMMs5CpqUK5TG3gGCvoIKkW7o5rjDqw/wbNHQW0lbBpBCSH+VAhxRgjxwAbPv0kI8T0hxP1CiK8JIZ67WWvbSqhbLjldkB9wlyeEoJw30tegBtWfwFdVuTKkUDgNu0E5twGBCI1yrjw+BWWa/tDCNATVdsltsMHn8jqIlC6+VnOgQQLAyJloupGq3ZEcs4LqdDpdpXQ+1Lj46ugD+vAB6Hpggkmd4huuoLIa1OZhMxXUnwMvH/L8U8APSSmfA/wO8L7NWNRWw0adzENU0hJUe3VjBQV+HcpKXoRu2a0NCQqgnCvTdFKksIYQFIBeKuGlGFlhWxsTlBACM6+nUlB2u4VZWF+f68YvFrHbyU/9e213oIMP/KGFGBpeivePZVkbEpRhGGialoqgXKcxsFEshEMLTRw3+Q3IquN1zzudj3JXQWUEtVnYNIKSUn4ZWBzy/NeklEvBp98A9m3KwrYYGh1noEEiRCVvpEzx1QafgQqRr6aqQTWdJiVj4y4RpVyJhp0ihTWCoLRKJXWKL7fBBg++ky9NDarT2pig/PgFOina0vijNjZ+/2h5fWwKSgiBaZopFVQTXd/4/aPrFdwUBFV3N1ZQuhCUdC1L8W0iJrUG9Rbg0xs9KYR4qxDibiHE3QsLC5u4rAsPX0FtvEGmT/Gt9mpNg2BWUqf4hrUxKhvjVVBauZzuHFTb2VBBge/ks1M0XLWt9kCLeS9+MRVBeZbbrTUNgijoqWtQGxEU9PrxJYXrNrqpvEHQ9TJuivdPzXEHdpEIUdW1zCSxiZg4ghJCvBSfoDY8Yi2lfJ+U8mYp5c3bt2/fvMVNABrW4HHvIVKn+Kz6xjUoCBRU8iJ0FAXVtNMS1MbxtXI5lc3ctlzMIRt8rmDQSbPBt9vkNrBpg38+yraSz1SSlosY0idQM/XuYd4kiEJQqUwSbmOogjL0Eo6b7AZKSknD9brnnQahouuZghqAdrvNC17wAp773Ody7bXX8lu/9VtK4k4UQQkhrgf+GHi1lPLchV7PJKLRGTysMETqFF+n0TvvNAhpU3x2c6iCUkNQY07xDXn9zYLe7TaRKH6rSW5oiq9IJ6FJQnoSaW/s4gPfKJFUQUkpRzaCTaOg/Gm6FsYwBWWUE6f42p7EA0pDFFTZ0DKTxADk83n+9m//lvvuu497772Xu+66i2984xup404MQQkhDgAfB/6JlPLRC72eSUXDcgZ2Mg9RzhvdbhOxIaWfvjOHdPrOV1OZJEYqKCN5DUpKidfc2GYOgYJKSFBSypE1KLNgYCd8/V3HxnWcoTWoNCk+6Xj+NN1hCqpgJO7F5zj+LKxxpfg8z/+5R6b43GQE3giUUXloik/vXrdVMY5xG0IIKsExDtu2sW078Uy0fmxaJwkhxIeBW4F5IcQx4LeAHICU8n8Abwe2Af89+MEcKeXNm7W+rYLRKT49eYrPsUC6wwkqRQ2q43ZwPGdsLj7ZbIKU6EMJqpS4WazT8Tf4UTWopArKbltBjPGk+ELzg8hvvAGLvI5cSLb+kHiGEZRpmiwtLW34/DCEHSKGp/gqtNsnE8VvBO688rAUn6FxtJU8RXk+Tv3H/4j1sNpxG/nDV7PrN35j6DXjGLfhui433XQTjz/+OL/wC7+wtcZtSClvH/H8zwE/t0nL2bIYmeIr+DWoRFNdO4GyGGaSSFGDClN3Q00SuXLiFF9ofhhqM0+R4guV0TCCyhWTK6hOYB8fneJLqKC6BDXcxZc0xRfWlsZVgwqV0XAXXwk3YQ0qVEYb2czBV1DPhhrUOMZt6LrOvffey/LyMq95zWt44IEHuO6661KtM+vFt8Uw6hxUOW/gehLL8SgMaAg6FKEyGpriq4Db8dWWEW+mT6iMRqX42m4b13PRB7VbGoKQeLQBjWJDaOUyXrOJ9DxEzKFz4fmmjVodAf45qFayGwS7S1DDFVRSgvKC1J02ZJaRSGEzj0pQSVN8YW1po3NQkK4GFSXFV9Y1peegRimdcWEc4zZCzMzM8NKXvpS77rorI6iLCZbjYruS8pAaQqWvo3lyghqmoMKx7/X4BBUoo2JuY4UQqqum0xw4kmMYwlHuo2pQSInXbMWeqttTUENMEkUDKcGxPXIxp+qGCmqUzdxzHVzHRjfiDRUMa0tDXXx5HWl7SFci9HgEG0dBeZ6HFvMGIYqCMoIaVJIbhGgpPp26s/UVVBTEUVALCwvkcjlmZmZotVp87nOf41d/Nf2sq4kxSWQYjd6ojSEKKjjEm2iqbtQUHyQaudFw/PhlY2Ni6BJUgjRfV0Ft0GwVQCsn78cXKcUXPJekDmUHw/7M/DCCKgTx46sor5viG+7ig2RDC6MSVP+1cRB2iBie4isjpYvnxVdpIfEMN0lodIKx7xl6OHnyJC996Uu5/vrref7zn8/LXvYyfvRHfzR13ExBbSEMG1YYopJmaGGUFF+KhrGRalABeYVkFgdehBpUmo7mYY+9oS6+Yt9U3el48TsBQQ1L8eUCddVptShW443UDlN3ww7qasF7y7MctAFTg4chJJ1hNvP+juYbjeXYCK4TEtRwmzmA69bR9Xjxo6T4eh3Nt+7Y93GM27j++uu55557Usc5H1vzFb5I0R33PqLVESTsaN5VUCNs5pDoLFSkGlRAXi07gUKIQlCVFAQVR0ElULB2cL5pmEnCLPivT5J+fFFSfGkaxkZx8aVRUN0U3xAFHp6RSmI1j5Tiy/rxbSoygtpC6Cmo4eegoEdmsRAS1KiDupBKQY2ymQOJzkLFU1DxCdYOXv+hNvN+BRUToYIaXoMKUnwJCKqb4otAUEmcfHFSfEmMEiHpDD2oGzznJFDgkRRUQF7PBiffVkBGUFsIYQ1qVCcJgFqSGlRIOmOqQUVJ8YXqKslZqHGn+MImsBvNg/KfS6GgQpNExBRfXIQKamiKL1h/knZH4yaosAalaRsTeHfkRgInX8P10IDCgGnDIUILetaPb3OQEdQWQqQaVDfFl+APKEqKL00NKkaKL5WCKg3ZwFIMLYyX4kuuoIxhNZwg/RcaKuJAWh7oAjHknE+orpIqKCEEhjGEwAPySpbia6BpeTRt4/hGkP5L0o+v4bqUdW2o+6+aKahNRUZQWwih8WFYDSpM/yWvQQkwNt7gu+TVib/BN50mAkHB2FghpFVQWqk09HxTqKDcBN0k7LaLpgv03MbxQ3WV5LBup93CyOfRhpz/CgkqWYrPGZreg566SlKDChvFDtvg0xFUc6hBAvoVVJIalNc1QWyEckDuWT++zUFGUFsIzU5oMx9SgwrIq5aUoMwyDDuf0lVQCe5Q7QZFo4gmhhyEDGpQiWzmzeGNYiGli2/IsMIQ4fNJalDDhhWGMLspvvivj+x4Q9N70G+SiP/+GdUoFta6+OJi1KgN6J+qmyzFN6z+BL0aVDNTUJuCjKC2EOoRUnyaJiiZOs2kNvNh9ScA3fAVVoJ+fKM6mQMUA/WW9BzUKIIShQJoGl4zfnzbGj4LCsAICSrB62+32yMJqluDSpLi6wwftQF9NvNO/A142DTdEKlcfE4DY8gZKEiX4qs73tBO5pBN1R0F13V53vOep+QMFGQEtaXQsBx0TZAfUkOAoKN5ko7UozqZhzDLyQhqRCdzAF3TKRrFRDUoNwpBCYFWKvmNZWPCbrvkhhgkwL9BMEwt0UyoUbOgAIyciRBaIpu5Zw0fteF/AwFauhTfMORyue61ceGOmKYLaVN87kgFFT6/1Tuajwvvec97OHz4sLJ4GUFtITQsh7Kpj2zhUjb15DWoKASVrySrQdnNoRbzEEWjmLwGNYKgALRSKdFU3SgpPvCHFiapQdnt5lCLOQRj0xP245MjpumG8YWZbORGFIIKx74n6yTRRB/Shw9A00yEyCVK8TVdb+gZKABT0zCF2NImiXGM2wA4duwYn/rUp/i5n1PX8zvrJLGF0Oi4Qy3mIcp5g2bSc1CjUnzgX5PwoG5xmAEjQDlXTubiazbJ7dg58jqtXE6moKISVF5PfA6qUBndfzBXLCYySciOi1Ye3b9Py2uJXXxTU6O7W5immbAGVSef3zHyOl0vdy3pceBP0x19z14xNGUK6u8/+ihnjyYfADoI8/sr/IM3XDn0mnGM2/ilX/ol/vN//s/Uasknbp+PjKC2EEZ1Mg9RNhOOfe/UoTQ/+rqEM6GadpPZwuzI60pGKZGCko3hwwpDJFVQnbbL1PzoDd4s6AkVVJupbdtHx88XsJP04uu45CK05xGmPjYFBclHbkRJ8YFfh0p6DmpUig/8ibtb/RyU6nEbn/zkJ9mxYwc33XQTX/rSl5StMyOoLYS65VCKpKB0zjUSzNzpNGD24OjrzDK0l2OHbzpN9uX2jbwu6Uwor9lEK43ewLRyGdkYj0kCQgWVwAXXag1tcxTCTKqgotSgSD72PYqLD0ic4otiM4dwqm58gqq77sgUH/hOPlUuvlFKZ1xQPW7jq1/9KnfccQd33nkn7Xab1dVV3vzmN/PBD34w1TozgtpCaHZcKhE2mFLe4OnFBEP/rIgmiXwFVo/HDt+wGyNNEuAf1l1OQICRCapUwj5zOnb86Ck+g3Y9/gZst1sja1AQElSSg7rRCEozk82EiuLigzQE1Rja5iiErpdj16CklJEVVEXxTKhJRRwF9c53vpN3vvOdAHzpS1/iv/yX/5KanCAzSWwp+CaJKCk+nWbSThJjrEG17NZImzn4Kb643cyllD5BRUnxJVVQEVx84CuopJ0kRrn4AHKFUrexbFRITyJtDy3CjCqRj5/i8zwP27YjE1TcGpTn2XheJ1qKL0ENquVJJMP78IUoP0um6m4FZApqC6EetQaVN+I3i5Uyhs08fg1KShnJZg7JUnyy1QIp0crRFJTbjLeBeZ70hxBGUCBJalCuY+O5zshzUH78QuwUX5RO5iGSpPhs2/bXFrEGde7cuVjxo3QyD6EbZaxOPIXc7WQ+opME+CaJUx07VvxJwjjGbfTj1ltv5dZbb1USa9MUlBDiT4UQZ4QQD2zwvBBC/L4Q4nEhxPeEEDdu1tq2Cpodd2gXiRBl06Bh+WPHI8OxQLoRFVRwDipG/I7XwZVuNAWVK8UmqPDgbdQUX1wF5Vhho9jx1KBC23gUBZUkxdclqCgpvgQKKkqj2BBJUnxuhGGFIXS9FPscVJRO5iGeDSaJrYLNTPH9OfDyIc+/Argi+PdW4I82YU1bCnEUlCfBijOaOso03RD5CngOuNE3mdA2HqkGFbj44hBsLIIql/FaLWSMqahhyi7aOShfQcVZf3eabgQFlSsUYzeL9SIMKwwhEtSgxk9Qo0dthND1cuxxG3EISqVJIsNwbBpBSSm/DCwOueTVwP+WPr4BzAghdm/O6iYftuvRcTwqUWpQwSYUy2oejs+ImuKDWHWoKKM2QpRyJVzpYrnR6xQhQYlIBFUCKf20YEREmQUVIpfXkRIcOw4BhgoqAkHlCzgdCy9GoV5GmAUVQpg60vaQXnSCDWtKcVx8XowbhN6499HvT0Mvx1dQTjisMEoNSstqUJuESTJJ7AWO9n1+LHgsA73u5JFs5gGJxTJKRBm1ESIkqBh1qPBcU5ROEt2GsTHOQsVVUP1fEwXdURsRTBLdjuYxjBI9BRUtxeevKbqKipvi6/+aKIijoEISC+tWUdAb9x4txSdlB8+LofADwqlEsplr2FLSiUGwGZJhkggqMoQQbxVC3C2EuHthYeFCL2dTEPbWi2IzT6agYqT4uiM3EiioiCk+iDcTymvEq0H5XxM9vh0nxZegYWysGlSCkRth89eoLj6I148vboqv/2uioGuSiEJQRvx+fPUYKb5yNhNq0zBJBHUc2N/3+b7gsXWQUr5PSnmzlPLm7dtHn7x/NiDKsMIQpVBBxXHyhWQzbNx7iPx4U3xJRm70FFQ0m3n/10RBlGGFIXKFkKBibPBWME23OPr1CUksTj++cHxGHAXljUlBpSEoY0QvPujVqeIQVOjiG9XNHHozobKGsePHJNnM7wB+UQjxEeAWYEVKefICr2liEGVYYYiQxGJ1NN+kFF8cBZUoxRfRZg4xFVRMFx/Em6obpviiuvj6vyYKpOVvppE6SZibo6DinIUKx2dETfH5XxP999szSUTrJAHZ2PfzcfDgQarVKrquYxgGd999d+qYm0ZQQogPA7cC80KIY8BvATkAKeX/AO4EXgk8DjSBn9mstW0FhPWkaC6+BFN1QzU0boKKaJKAmCm+ZjjuPQZBxVBQnXZ0k0SyGlSgoCKZJEKCipPiC1x8MVJ8cc5CJalBjS3Fl2BoYbNbg4pmkuj/mgw9fPGLX2R+PkI/z4jYNIKSUt4+4nkJ/MImLWfLoTesMNo5KIhJUCHZxKpBxbhDjWMzDwiq5cTYgDfLJBGrBhVjg495Dgri1aDiuPhCEotjkgjV0ETUoLopvujvz7rroQvIa8NH2UCPxLZqDerIkSO84hWv4MUvfjFf+9rX2Lt3L5/4xCcoRmiztdmYpBRfhiEIySbquI3+r4mEWOeggpEQ47KZJzFJNJugaYgINuc0Kb44BNWJcVi3026DEOTM0evv1qBipPi8jguGhtBHb8BJTRJhamcUkqT4XKeOphURYvTrrwfvn7g1qLKujZy1Bmqn6n7xz9/HmaefTB2nHzsuuZSX/vRbh14zjnEbQghuu+02hBD8s3/2z3jrW4evIQoygtoiCFsXlWKcg4pfgxKQi3AXlcTF5zTRhEZBH60QkpgkZNAoNsoGk0hBtV30nIYWIQXUTfHF2ODtdotcvoDQosQPUnyxTBIuWj6aJ0okNElEUU+QXEFFUU/QM0nErUFFqT8BVIJ2SFvZJKF63AbAV77yFfbu3cuZM2d42ctextVXX81LXvKSVOvMCGqLoGGFNvMId6i6hqGJ+ArKrECEDR6jAEKPbTMvGdEIJFRZcU0SUdJ7AFqQyoiroKKoJ+hL8cU0SUQ5AwUJU3wdN1J6D/pSfDEVVFSCSlqDitJFApKNfY/ayRz6FJQCk8QopTMuqB63AbB3r39sdceOHbzmNa/hW9/6VkZQFwsaloMmoJCLMHBOiGCqbhwFVYtmkPC/QdAwNkYROmKjWABTM9GFHs9m3ohOUMI0Eblc7BpUFAcfECgtEa8GFXHUBvidJCCei8+zohNUUhffOBWU4za6qbtRCJVWrBqU48YgqK2voKIgjoJqNBp4nke1WqXRaPDZz36Wt7/97anXkBHUFkE9GLURRYGAP3Ij9kHdqAQF/lmomDWoKPUn8Ak27lTdOAoKgn58MRRUpx1tWGGIuA1jO+1W1503CpquY+TM2AoqSh8+wK9TGVr3cG8UxCEoXdfRdT1eDcptRGpz5McPCCqmiy9qiq+oCTSe/QQVB6dPn+Y1r3kNAI7j8FM/9VO8/OXDWq9GQ0ZQWwTNTrRGsSFKeSPmQd1GtEO6IWKO3Gg60QkK4nc0j01QpVK3+0QU+Cm+6K9/LubIDTviLKhu/GIxls086rDCEFpe6x7ujQLLsiL14QsRd+y76zYxjKlI1wqhxe5o3nA9duVzEeMLyrrWPdy71TCOcRuXXnop9913X+o452OSOklkGIKGFW3URohy3ujWrSIh6rDCEOHIjYiIOk03RCkXU0E1GogIh3RDaOVy7BRfLmKKD/ypup2YNvOoNSgIZ0KNJ8UHIPIGckwKCuJ3NI867j2ErpcSmCSib4cVIxtauBnICGqLoG45kQwSIcqmHv8cVNwUX5walN2M1Cg2RMkoxbaZx1dQ4zFJQPyhhXa7RS5Cm6MQuUIxXqujjhvpkG4IzdRiH9QdK0E5DYyILj4Ixr7H6sXnRmoUG8JXUBlBjRsZQW0RNDtOJIt5CH+qbgwFZcUkqJhj31tOK76CGmeKL66CaruY46xBWdFdfOBbzWOl+DrxUny+ghovQcVrddSINE03hE9Q41NQ5Wxo4aYgI6gtgrrlxqpBxVdQMU0ScWtQMUwSAGWjHLuTRJRGsSG08ngVVC6fQEHFqUEVCjFdfF48ghqzgkpSg4qb4otqkvCkpOl6kRrFhihnQws3BRlBbRE0LCfSqI0Q5SQmCbMa/fq4NSinQdGI3kqlmCtGrkFJKZOl+OL04rOceDWogh65WayUMqhBRX99zEIxsotPuhIcL16KLx99qq7rujiOM7YUn+d1kNKOfFAXwDCip/hanock2qiNEJVsaOGmICOoLYKG5UQaVhiinDei28ylTFaDipjik1KOtQYlOx1w3bHZzF3Hw3NkLBefmTciKyjXtpGeF2mabjd+MQZBxRhWGEKYeuQUX0g0cVx8cQgqTh++ELpejmySaDhBJ3MjXg1KRaujDMOREdQWQaMTzyRRMnXatocbZWy3Y4F046f4nBZ4o/9I224biYyX4suVI9eg4jSKDRFHQcXpwxfCr0FF3OC7nczHk+KL08k8hMjrkVN8cTqZh4hTg3KCVJ2hR3eZ+jbziAQVo5N5iIqhZyaJ87C8vMzrX/96rr76ag4fPszXv/711DGzc1BbAI7r0ba9SLOgQlS6M6EcpgojznfEaRQbon/kRmF66KVxOpmHKOVKtJwWnvTQxPCNoztNtxynBlVGdjpI20bkhr8+vXHv8VJ8ruPhuh76iI2vNwsqZoovoouv28k8Yi8+CFJ8MRXUuGpQIdHEVVBRU3zheaY4Kb6SrlF3MoLqx9ve9jZe/vKX87GPfYxOp0MzRgp9I2QKagsgdOPFOQfVnaob5S64U/P/j3VQN/rIjZbtb6RxU3wSSdsZrRLizIIKEWcmVJxx7yHi9ONLpqCKeK6D69gjr40zaiOEMHVwJTLCJpxUQXmeh+OMTkMnSfEZgYLyp/gMR5xhhSEqukbL83AjxJ80HDlyhMOHD/PzP//zXHvttdx2220De/HFwcrKCl/+8pd5y1veAvi/35mZmdRrzRTUFkBodojl4ut2NI9Qh4ozTTdEjJEbcabphuifqjsqNShjTNMNIfoISp8ergCTpPj6O5oXyiMUWoxhhb34vbHvxerw+N0UXyybeW9ooW4Mv49NSlDh144a0dFTUPFs5lK6eF4HXR9eG6t3CSqOScJ/fZquRzVG7ep8LP/fJ+iciO4mjQJzT5mZH7ts6DWqx2089dRTbN++nZ/5mZ/hvvvu46abbuI973kP5RhZjUHIFNQWQMNKQFBxhhaGBBVD4cQZuRESVDHKKI8A3Y7mEepQSWpQejhyI4JRohO8hlGbxUJcBRU/xZeLMfY9iYKK09E8DUFFqUOFBGXEOQdlRB9a2EhAUOG1W7UOFXXcxr333rvu36BO5o7j8N3vfpd//s//Offccw/lcpl3vetdqdeZKagtgHp31EY8mzkQrd2RlSTFF33se9IaFEQbuZGEoESiFF+8XnwQbSZUqKDinIMK1VYUJ18iF184tDBCHSrONN0QcUZuOIlcfP0dzeeGXpukBhXOhPKdfNF6+A3CKKUzLqget7Fv3z727dvHLbfcAsDrX//6jKAuFjSt6MMKQ3RTfHEUVNxefP1fOwRxpumGiDNVd9wKKqmLD3rqaxhCs0OcFF+uL8U3CqEbL66LD6INLUxqM+//2mHo1aDipfj6v3YYktSgtrqCioI44zZ27drF/v37eeSRR7jqqqv4whe+wDXXXJN6DRlBbQHUY4x7DxGS2STVoGKZJMac4ouloBK4+Lo1qAgpvp6LL76CipTiS6CgNivFF4mgHP89Fs8kESPFFxhBKiNqbf1QObTw2YI/+IM/4E1vehOdTodLL72UP/uzP0sdc1MJSgjxcuA9gA78sZTyXec9fwD4X8BMcM2vSSnv3Mw1TiIaCUwSlTgpvjBNl0hBRU/xlWPUEMJrI6X4GikUVASC6gQ99RK5+KJs8KFJIuLAQujVqzpWhBRfEhdffpJqUMlTfE6EdkcN18UQYEactQZbe2jhOMZtANxwww3cfffdSmKF2DSThBBCB94LvAK4BrhdCHG+Bvw3wEellM8D3gj8981a3yQjrEHFspkH10ZqdxSSzJhqUIlSfAkUlIixwXcVVNQUn4BcjA2+W4OK0DDWbrcQQsMwY6TIArVlR0nxdVxETkNo0TfgUEFFOawbOvE0Lfp2Eq8G1UDXS4gR5+H6ESfFVw+GFUYdBgq9Q71bkaC2EjbTxfcC4HEp5ZNSyg7wEeDV510jgXAq2TRwYhPXN7EIa1BxDuqG10Zqd2TVQWhgRE8xxapBOU0MzcDUo99h99vMR8FrNhGlEiLGBhk2lo0ytNC2XHKmHmuD79WgImzwLb9RbJwN0gxGc0SZCSVjzoKC+CaJOPUniFuDij5NN4QR08UXp4sEXBw1qEnAZhLUXuBo3+fHgsf68e+ANwshjgF3Av9iUCAhxFuFEHcLIe5eWFgYx1onCg3LQQi/fVFU6JqgkNNoRukGEDaKjbFBoumQK/UcgEMQd1ghxFRQjUas9B6AVip2v3YU7Ha8TubQU1tRbeZx0nvQq1dFGbkhO/E6mUM8gorbyRzi1qAasdJ70Jfii0RQbqxO5tDn4stqUGPFpJ2Duh34cynlPuCVwAfEAF0vpXyflPJmKeXN27dv3/RFbjbqlkvZNGLdYYNfh4rm4ovZKDaEWY7s4ouT3gMwdRNDMyIrqLgEJTQNEbEfX9xpun58EXnkRqfdinUGCiAXpAOj2Mw9K96wQgCR00BET/HFJahcLocQInINKk4fPojv4ovj4AMoBWo962g+XmwmQR0H9vd9vi94rB9vAT4KIKX8OlAA5jdldRMMf1hh/NPqJXPcBBVtJlTTacYySISI2tE8CUFB9JlQdtuJraAg+tBCux1v1Ab4BJuLOLQw7rBCACGE39F8TAQlhIjc0TysQcWBphUAbWwpPkMTFDXRPUOVYTzYTIL6NnCFEOKQEMLEN0Hccd41zwD/CEAIcRifoJ79ObwRiDvuPUTJ1KNN1e004hkkQkScqptEQUH0qbqJCSqOgkpCUBHHvvuzoGLU/wKYhUKMGlT8P3VhRutobllWbIKC6CM33JjTdMEnwKhDCxuuSzmGxTxEWc86mo8bm0ZQUkoH+EXgM8DD+G69B4UQvy2EeFVw2b8Gfl4IcR/wYeCnZZRuj89yNCwnlsU8ROQUn1WPZzEPkY+moBp2IxlBGaWxpfjAN0pEJajwXFMc5PJ6JJOE3W53WxfFgVmM1tHc67ix+vCFiNrRvNPpxDZJQEyCiqmgwD8LFcnF58RP8YFvlMgIyscjjzzCDTfc0P03NTXFu9/97tRxY/3VBcpHl1Iman0bnGm687zH3t738UPADyaJ/WxGo+PGspiHKOUNVlqju13TqcPUnvgLM8vQPDfysqbTZLYwGzt8OVeOSFANcrt2xY4fNcXXabtMzcd//c2CEdEk0cQs7IsdP5ePmOJL4OID3ygxrhQfRJ8J5Trxa1Dg9+OLZpKIn+ID/2BvNrTQx1VXXcW9994L+BOW9+7dy2te85rUcSP/VoQQbwNOAo8LIR4WQvxi6u+eIRIalhPLYh6iktdj1KASpvgimCQadiNWF4kQJWOCUnwxTRJAZJOE3W7HrkGB7+SL2osvbg0KghTfmFx8EH0mVJIaFEQfWthwvdguPghSfFtwJtQ4xm304wtf+AKXXXYZl1xySepYI3c9IcR7gO8CbwMOSynPCCG2A+8QQvyOlPLfpl5FhqFImuIrmUb3DNVQdBrJTBIRx763nFZsmzn43c+X68sjr5ONpCaJMvbRYyOvS2ySKOjYC9HPQcWFWSzSXFkeeV0SFx/4KT63NpxApJSpFNTq6urI+ElqUBBtaKErJS3Pi9UoNkRZ11iy0ymoT3/605w6dSpVjPOxa9cuXvGKVwy9RvW4jX585CMf4fbbb0+2+PMQZdf7InAjvpvua0KIVeB7wP3A/yuE+D0p5ZKS1WQYiLrlJq5BRTqo22n0euvFwWYoqKg1qBizoEJEUVBSyuQmibzebZO0YXzPw7bin4MCv91R5/TwzU06HrgyWYrP1Eam+BzHwfO8sZkkPK8FyNgHdcGvQVmd00OvaXbHvSerQR1rR5sKPGmIOm4jarPYEJ1OhzvuuIN3vvOdClYZgaCklH8D/I0Q4oXAv8JP810PPBe/j/3fCiGmpJQXpm/8RYBmx6GcyGau0+y4SCk3PkPleSlt5jWQcsNDvo7nYLlWrFlQIcq58sgUXzi2PamCGlWDcmwPKUlkkjDzxsgUn23FnwXVjV8oYLdGvT7xG8WG0PLGSBdfkk7mIaLUoMJRG0YCgtL10shefElmQYWoKHDxjVI644LqcRshPv3pT3PjjTeyc+dOJeuM81f3C/hnlO7FV0+HgfullLcG5okMY4DnSZqdZAqqnDdwPEnH9chvNPUzJICkB3WlB04bNiCgbifzhOegRikoL/jDSlODGkbgSca9hwht5sPihzbxJDUos1AcaTNPMk03RBQFlaRRbIgoNagkncxD+DWo4e+f0ORQSTAV99nu4kuioD784Q8rS+9BDJOElPIx4BbgY/jnk74HvCZ4bmvq3C2AsJN5knNQoeoa2tE8SSfzEBFGbiRpFBuilCvRclq43sbr7zaKTWgzx/OQQzb5JKM2QuTyOkhwOhtvYr1ZUPFrUP5B3TbDTmIk6WQeQuR1pO0ivY3jpyEo0zSxbRvP2/j16XYyT1KDMiojCSqVgjJ06q479PW/mNBoNPjc5z7Ha1/7WmUxY+16ARF9KviXYRMQ9tJLZJLojtxwmCtvsIEkGVYYYs3IjcEtp0KCSlqDAmi7bcra4K9PMgsqRFi38ppNtA1qQLYVf9RGiG7D2CEmi+403WL89ecKBaT0cDoWufxggpMBOSZL8fkEK+2Ne/mlJSgA27Y3TBGGNvEkNajQxTdMwYYuvGQpPg1XQtuTFPV4bcguJMY1bqNcLnPu3OhjJ3Ewab34MpyH0OSQ5BxUdybUsJEbXQWVsAbVH2MAwhRdEhdfqLqGtTtKRVBhR/MhRok0KT4zwtj37iyohC4+GD600AveP0lcfFEaxiYZ9x4iykyo0CaepAZl6CVABkaLwah3x70nqPFmHc3HjoygJhyNBKM2QpSipPjC9FyiVkejR26E5JI0xQfDO5p3hxWW429gXQU1xCgRdoJI1kli9FTdJOPeQ4RfM6wOJa3kCkpEmKqbxiQRZSZU2KooWQ3Kf087Q9J8zZQmCSDrxzdGZAQ14QjJJanN3I8xTEGlSPGNuwYVYSZUT0ElIKgxK6hcBAXVTfElPKgL0Bni5Ou6+BL04osytFBFim8oQXWn6SboJBGQWmi0GIQ0NahsJtT4kRHUhKORIsVXClTX0Km6nWCeU+oa1GA0nPjj3kNEUlAqalBDFJSqGtRGSDLuPUSooIam+NK4+CKk+MZNUI7rv7eMBO+f3tDCjd8/XRdfwlZHkM2EGicygppwhPWjZDbzYKjaUBdfqKDGVINKoaBCUhuqoAJySXZQd/RU3VQuvkgKKjwHlczF58fYuMbSdfGlIKhxK6ihNahUKb7RBBWqn1Kig7phii9TUONCRlATjtAkkchmno+ioFQQ1MYKJJWLbyIUVIoUXz6CSSJNDaoY1qA2JqiQXEQuoYuP0SYJIQS5XC52/Eg1KLeJECaaFp8Ae1N1N76BqjseeU2Q0+K78ELVlQ0tHB8ygppw9FJ8Sc5BhTWoCCaJpOM2YOjY91D9FPT4CiFaDSpQUAlSZKGxYlgNqtN20TSBnmBeUGisGGqSaLcwciZagjv40Pk31CTRcRE5DZFgA45qkjBNM/a0Z4ia4kvWKBaiKig3Uf0J+l18WYoP4L/9t//Gtddey3XXXcftt99OO8KsslHICGrCUbdchIBSgjvgQk5DE6NMEnXQTTASNAPRTdCM4TUou0HRKKJrCWpoUWzm9QaiUEAY8Qk8VF1DTRJBJ/MkG3BPQW38+tvtVqJZUNBL8Q2bCZW0kzn0CGpUii9Jeg+imiQaiepP0EdQQ25wkox7DxG6+DIFBcePH+f3f//3ufvuu3nggQdwXZePfOQjqeNmBDXhqLf9URtakjtgISibxuhzUEnSe/43GNkwtuk0E52Bgj4FNdRm3kCrJFB/gDBNMIzhKb6EncwBdENDMwSdoQqqnegMFPSbJIan+JISVJQUnwqCGnUOKqmCMoL3jzskxecTVLJtMDRJNLcYQY1r3IbjOLRaLRzHodlssmdPghlz5yH+bWeGTUUj4bj3EOVRU3U7DTATdDIPMWLse9JpugA5PUdOyw1P8dXriQwS4BP4qI7mSTuZhxjVMNYf955MQem5HELTug1nB0EmHLUBIAwNdBEpxZcEuq5jGMaIc1DNRBZzP360FF8SBx+AKQSGSOfie/TR36FWfzjx1w9CtXKYK68cPgVJ9biNvXv38iu/8iscOHCAYrHIbbfdxm233Zb6Z8kIasJRt5xEFvMQpbxOY9jQuTQKCkaOfW/ZrUQGiRCl3PChhV6jgV5OtoFB0DB2qIJKR1C5vD60BmW3W4nOQIFPsGZh+Nh32Uk2TTeElh8+tNCyrESHdEOMGrnhuI2gI0R8aJqJELmhB3X9aboJCVwIKrq+JVN8qsdtLC0t8YlPfIKnnnqKmZkZfuInfoIPfvCD60gvLjKCmnDULIdKIb5DKkTZHKGgrHqyLhIhzPLIc1BJU3zgW82HKSi3UU/URSKEVi5HqEEl/zMJO5pvhE67RSEFweaKxeEuvo6HVky+fmEOH/ve6XSYmppKHH/UyA3XbZDPD+7zGAV+P74hLj7XY6eZ4u8rZUfzUUpnXFA9buPzn/88hw4dYvt2/3f12te+lq997Wtbi6CEEC8H3gPowB9LKd814Jo3AP8OkMB9Usqf2sw1Thr8FF/yO+ByXqc56hxUGgU1qgZlN5ktzCYOP1pBNcnt2pU4/igF1bFcquXkG9iooYV2u01123zi+Ga+MPSgrrQctJnkCkfkRxNU0hQfjFZQaWpQ4PfwG26ScCkncGiGKOt697Dvsw1xFNSBAwf4xje+QbPZpFgs8oUvfIGbb7459Ro2zSQhhNCB9wKvAK4BbhdCXHPeNVcAvw78oJTyWuCXNmt9k4p6O2UNKpJJIo2CilCDSqGgRs2E8ur1xCYJiKCg2k636WsSmKMUVKuFWUj++uQKwxWUtDxELvmfuWYOT/GlJahRM6FcN3kNCvwxHcNqUM0ULj7wFdRWM0mMA7fccguvf/3rufHGG3nOc56D53m89a1vTR13MxXUC4DHpZRPAgghPgK8Gnio75qfB94bjpCXUp7ZxPVNJPwa1DhNEikJakQNquk0U9WgirnicAWVwiQBvoKyl5c3fD6tSSKXN2isbLwB+zWoZC4+8A/rDnfxOWgpUpSjFJRlWakV1LDzMo6TvAYFwVTdEQd1k7r4wHfy1Z2tRVDjGrfxjne8g3e84x1KYoXYTJv5XuBo3+fHgsf6cSVwpRDiq0KIbwQpwYsadcuhmoqgRpgkrJQmiRE1qKbdTOziA78G1RgytttrNNDTKqhxmiQKG5skpJR02q1Effh68QsbHtSVUiItF5FCAQpT39Bm7nketm2nJqiNalCe10HKTqJZUCF0fWMF1XY9OlIylVJBZQd1x4dJM0kYwBXArcA+4MtCiOdIKZf7LxJCvBV4K/i5z2crpJQ00iqoYSYJKcFahULyIvewGpSUMtU5KBheg5KdDrLTSWeSGGIzd10Px/YwU5gMcnmdzgavv+s4eK6b2GYO/lkoewMXn+x4IEFL8f7R8hunKNOM2ggxLMWXZppuCF0vYdtLA5+rBcRSTVGD2qouvq2CzVRQx4H9fZ/vCx7rxzHgDimlLaV8CngUn7DWQEr5PinlzVLKm0PXyLMRluPheJJKihRNKW/Q7Lh4g8Z2O23wHMinIKh81Y/jrt+E224bT3qpFFTJ8Me+D4LbbRQ7Hpu53Uo+CyrEsBpUOCYjVYpvSA1KBuaMVAoqv7GCCpVPIc36h5gkQoJKMqwwhG+SGPz7DVNzVSOtgsoIalzYTIL6NnCFEOKQEMIE3gjccd41f4OvnhBCzOOn/J7cxDVOFGrBBpMqxRecgWnaAzaZsIdePs1B3Y1HbtSDx6q55PHLuXI3zvnodTJPZzOX7TZyQJomdN+ZxXTnoDxH4g6oU3QbxSYY996NX9jYxRe2KNJSpvg2anUUEpSKc1BSrr+BcoI5TmlcfLpR7o6NPx9dBZUqxadnKb4xYtMISkrpAL8IfAZ4GPiolPJBIcRvCyFeFVz2GeCcEOIh4IvA/1dKqXbI/RZCmkaxIbodzQelmdqr/v9pFNSQkRt123+sksKEUc6V6XgdbNde95xX9+OncvEN6cfXI6g0Kb6gYeyATd4KGt3mE3RiD2EWi9hWG+mtJ0AvVFApU3w4EjlAJagiKM/zcJz170/H9W+gDCP5DY5/DmpwCnc16ABRSZPiMzTansQZlKHIkBqbWoOSUt4J3HneY2/v+1gCvxz8u+iRZtRGiN5MKIcd5z9pBQSVqga18dj3UPlUcskJJCS3ml1jTp9b81xXQVXSKSjwCUqvrt0IO62AoFIe1AWf7ArnnacKU3z5BNOAe/GDfnxWe50Sk4oUFPj1LFFcu5GrIKj+kRvnj+xwHBUEVcbzWkjp4p906SFM8U2lTPGBf55qWpu0kv7WR9YsdoKhhKC6U3XHlOIbMvZdhYKqBn0CGwMIMFRQekqTBAweWthRUIMaNhPKClRbmhRfd+TGAKOE1w6HFaaxmftbxKA0X2gPT6ugYHBH83BUu56CoIwh/fhUpPiyjuY9vOc97+G6667j2muv5d3vfreSmBlBTTDqQYomjUkiTPENdPKFCkpJDWr9TKguQaVQUOEZqpq9Pn5PQaWxmW88tFBVDQoGz4TqKag0BBUOLVxfh5LB7zzJuPcQwzqaqzJJwGCC6iqoNAd19bCj+QCCUpDi6ymoi5ugHnjgAd7//vfzrW99i/vuu49PfvKTPP7446njZgQ1wUgz7j1El6AGdZNQYpLYeKpuN8WXRkEFBotBRgk3rEGlUlAbDy3spvhS1KC6QwuH1KDSmSQ2HrkRKiglKb5B61dUg+qP1Q9VKT4/1oD3Z0Aq6UwS4VTdrWOUGMe4jYcffphbbrmFUqmEYRj80A/9EB//+MdTrzVLmk4wVLr4Bk7V7RLUdOL4XYIaluJLo6AChRbG6keYlhufglKY4hukoJrpa1Ddse+t9QQrVZkkGJziC0klbasj2EBBuXVApDqoG5JbaLjox6rjYgpBIUUnibBNUtJ2R//2sWM8UE8/i6kf11WK/M4V+4Zeo3rcxnXXXcdv/uZvcu7cOYrFInfeeaeSXnwZQU0w6gpcfKVhKb6uiy9lqyMY6uJL0+qoq6AGEVSooFKkyIaNfe+0HIQmMMzkG1hokhg0VddqNdENAyPNBh+QmzVg/Z4VjHvX4w+7DNEzSQwmKNM00bTkr8+oFJ9hVBJNMw7RJShnPUHVHDdVeg966cGt1u5I9biNw4cP86u/+qvcdtttlMtlbrjhBvQUyjRERlATjIbl+OPeU8zzqZhhim+QgloFPQ9G8hTNqHNQRaOIkcLdFKYHB6X4vHodUSohUvwh9EwSAxRUy28Um2aDDBXUoKm6nWYjVXoP+glq/frTtjkCutN4B6X42u12qvQejDZJGHqK9DP9BLW67rm666VK70HPJJH0LNQopTMuqB63AfCWt7yFt7zlLQD8xm/8Bvv2pf/ZMoKaYNTaDhXTSLVBlvJhim+DGlQaizlAbmObecNupErvQS89OFBBNRupHHwwQkG13VTpPRhVg2qmSu8BmAHBDiIor+2kanMEo1N8aQwSMLoGlab+BKMVVJouEtBfg9paCioK4igogDNnzrBjxw6eeeYZPv7xj/ONb3wj9RoygppgNCwnlYMPIKdrmIa2MUGlMUgAaJpPUgNqULVOLVV6D8DUTUzN3NAkkcYgAX0Kqr4+fqftpDJIAH56UAwmqE6ruQUUlBHEGpCiTDlNF0bUoJwaupHuBmcoQbluqj58QHdc/MXu4gN43etex7lz58jlcrz3ve9lZmYmdcyMoCYYaUdthJgqGNQ2spmnJSjYcORG3a53zzGlQcWsbGCSaKQySAAIXff78dXXb2CdlpPKYg7+WPCNhhb6CiodQemGgZHPYw1IUXptN9WoDQBhaqD1HIH9UKGgDMPPEGxkkjDN5MMcIXTxiQ0UlMeefPJhlADFLejiG9e4jb//+79XEqcfmc18glG30g0rDFEt5FhtrW8V5CuolCk+2HDkRt2up1ZQ4Kf5BtegGqkVFIA2NYW7OoCgFKT4wK9DDVRQzQZmyhQf+CpqoEmi7XRrSEkhhEArGHit8SgoIcSGDWNVpPiE0DCMysAalIoUnyZE1jB2jMgIaoJRSzlNN8RUwWB10NhxZQQ1eORGvaNOQW10UFcFQenV6hAFlf71NwvGQJu51WqSTzELKkS+WKKzQYovzSHdEKJgdPv69UMFQcHGM6Ecp5bqkG4IQ69umOKrpLCYhyjrGo0t5uLbKsgIaoJRa9tMF9OlIACmihsoqLaiFJ9Z6Z2p6oNKBdWw12/Abm11Xf+8JNhYQaUb9x7CLAxO8XWaTXUKasA5KBUpPgCtaCAHKKh2u506xQd+J4pBBOW69dQKCsDITQ0kqLrjperDF8KfCRUvxTeoe/vFgLg/d0ZQE4zVtsOUgjv4qUKO1fagFJ8igipM985U9aHeqad28YFPULUBrZS81RraVHoFqFeruLX16++01KT4zKKB1Vy7wUspfQWlgqDKZazG2hSoP03XSW2SAL8Txfk1qHCargoFVSgU1o199zwLz+uoIagBCsry/Gm6aVN84BslajEUVKFQ4Ny5cxcdSUkpOXfuXKybmswkMcFYbdlUCyoUlNHtStGFlGps5gDFGTj9wJqHXM+l6TRTtTkKUTHXKyjpef64dyUKqop3Xt8w1/ZwnXTTdEPkSwaN5bUKwbEspOelGvcewiyVWTlzes1j0k4/TTeEVjCwz649J6OizVGIQqFArbaWQLqzoFK6+MB38rWtU2se647aUJDimzL0buPZKNi3bx/Hjh1jYWEh9ffeaigUCrHOR2UENaFo2y6W4zGl4A5+apBJwm6CdBUqqJU1DzWC3meqFNT5JgmvXgcp0abSr1+vTuGet0GqaBQbIl/K0T5PQfVmQalI8ZXW2cxVTNMNIQak+FQSVLFYXLdZ9xrFKlBQRhWn8diax1RM0w0xndN5rLE+RbkRcrkchw4dSv19LwZkKb4JRah4phTVoCzHo90/VVdFo9gQhRk/Xej14ofjMZQQVGAz92QvjRLWjPRqegWoVSt4tdqaoX9dglJwg5AvGnTOJ6igZmSmtJlD6OJbS1DdRrEKTBLaAJOEik7mIQal+HqNYlUoqPU1qFDxqKhBTRt6V5FlUIuMoCYUYc1oSkWKL9hk16T5VDSKDVEIYvSpqNB1pyTFl6sgkbScXprJC2pGqhQUnremm0R3FpSKFF/ZwHU8nL52U71GsWoIyrVtHLunksPWREKFSaKgIzvemqm6KmZBhQgJyuu7QfAbxabrZB7CMCq4bm1NzaemMMU3beisDJgInCE9MoKaUPQUlIIUX6DC1hglVMyCClGc8f9vL3cfCmtGqhQUsMYooVRBBSTn9aX5etN0FaT4gt+h1Zcm66b4impSfMAaq3l4binNqI0QIlh/v1FCdQ0K1naTcBWM2ghhGFWkdNfMhAoVj4oU34xh0PIklpdZzVUjI6gJRVgzUqOgcmtiAj21o8IkMUhBddQpqEEzoUIFpatSULDGam4pmAUVIl/yX/9+J19HcYrPjz+AoBSsP7Sqyz4FPg6C6m9YGqbkdAXnoPQBIzeWA4KaVkBQUzk/RpbmU4+MoCYUodpR5eLzY/alIVpL/v+FmdTxuzH6CEqlggrPUvW3OwrJRInNvKugelbzkExCckkDs2Ssiel/rDDFFxxW7m931COo9OsPCaq/m0SY4lNVg+qPCT0XnyoF5cfsEdRKUI+dUaKg/BjLdkZQqrGpBCWEeLkQ4hEhxONCiF8bct3rhBBSCJF+4tUWxWpLYYpvkIJqLfv/h+m5NAgVVBgTWA1SiCo6SYQx+gmqq6BU2MwHKaim/1rlS2ps5v0x/Y/TT9Ptxi+unwnVIygFJokgRr9RIlQ7RQU2+TDGWoJSZ5LIGVNBzN4NyIrjIlCT4guNFiuZglKOTSMoIYQOvBd4BXANcLsQ4poB11WBtwHf3Ky1TSKUmiQG1aDCepEKBdWtQfUU1GrH3wymzPQKJ4wRkh70KaiUzWJhiIISvfpRGnRrUP0KqlFHCI28AoLqjtxonaegDIHIqWl15MfsbcCtVgvDMDCM9K/PYAW1iq6X0LTkwxxDDFJQy47LtKGjpRhlE2ImI6ixYTMV1AuAx6WUT0opO8BHgFcPuO53gP8EtAc8d9FgtWWjayLVsMIQPQXVn+Jb9ocV5tLfAfdqUMvdh1Y7q+T1PAUjfQpoKugXGJIe+G2OtEol1bDCEGGacK2CcsgXDYSWfgML04Sdvte/Va+Tr1QQKabR9uKvT/HJlqOk/gS9OlZ/DardbitRTzCYoGxnBcNQUB+lrwbVR1CrAUGpwHQuI6hxYTMJai9wtO/zY8FjXQghbgT2Syk/NSyQEOKtQoi7hRB3P1tPY9faDlOFdMMKQxRyGjldrFdQxRlQEB+zAkJfo6BWrBWmTQUWdnoKasXqxffbHClwIAJ6oML6G8a2G7aS9B5srKAKChrdQl8Nao1JwlZOUOen+MZKUPYyudyMkvgDFZTtdoklLaYzBTU2TIxJQgihAb8H/OtR10op3yelvFlKefP27dvHv7gLgNW2reSQLvgjDdZ1k2gtq0nv+d/AV1H9NajOalf5pIWpmxSNIiudHkG5tZoSizmAyOUQxeJ6BaXAIAGg5zSMnLamBtWu1yhU1BBs2C7p/BqUCoMEgDB1EOtNEioMEtBzAq5x8dkrGIaaG5xeDarPJOE4SgwS0FeDsrOzUKqxmQR1HNjf9/m+4LEQVeA64EtCiCPAC4E7LlajhN+HT10nqqlibu1B3VBBqUJxZp2CUlF/CjFlTq2pQXm1mhKDRIjzG8ZaTXUKCnyjRP85qHa9RqGcvn4GoGk6ZrGE1ewzkbRdZQpKaAKR15HttTUoVQpK07R13SRsZ4VcTg1BaVoRIQwcu+/96bhMK6ifAeQ1jaImutb1DOqwmQT1beAKIcQhIYQJvBG4I3xSSrkipZyXUh6UUh4EvgG8Skp59yaucWKw2naUGCRC+DOhxqSgIOjHt9z9dLWzyrSKLhUBpvPT6xSUCot5CG2qijcmBQVglnJrUnztRl2ZggIoVKq0+8bWewprUMC6oYWtVkuZgoL17Y4ce4WcMaMkthACw5jGdpa7jy07LjOKUnwA04aRnYMaAzaNoKSUDvCLwGeAh4GPSikfFEL8thDiVZu1jq2CpWaHGYUb5LqZUKoVVGFmrApqOj+91sW3sqxYQU2tV1BldRt8obR25Ea7XievSEEBFCoV2n3r95qKCaq4th+fSpMErCco21nByKl7/+Rys9iBgpJSsmKrM0mAb5TIalDqsandzKWUdwJ3nvfY2ze49tbNWNOkYrlpM1NKb7ENUS0YnFzpM0a2VtQrqJVj3U9VK6gpc4qnV5/ufu4ur6DPzCiLr01Vcc+eA4JZTU2HglIF1Ru5IT0Pq9GgqMAiH6JYneoqKOmpmwUVQvQpKNd16XQ6YyMo123jeW1lCgogl5vBtv3D6S1P0pFSLUEZevfwbwZ1mBiTRIYePE+y3Owwq1JBFXKshArKc8FageKssvj9NSjbtWk5LeUKKnTxeZaFbDbRZ2eUxdenpnFXgvVbLp4rldegQpu51WoipadYQVVp1X0FJduOPwtKkUkCQCv1CCo0M6hO8YVxHcf/PRiKalDgE1QYN2zsqpygMgWlHBlBTSBqbQdPwqxCBTVbNlludvyOzmEqTnmKbxmk7NaKlNagzOnuOSh3eRlAqYLSZ2a6cXttjhQSVLFXgwqn3yqvQQXNblX24Quhl3J4Df8GJ1Q6KhVUsVjsxg1TcTlFLj4IFdQy0GtJpMpmDj5BZSYJ9cgIagKx1PS7OqtM8c2VTGxXUrcctX34QhSmwe2A0+7WipS6+PJTWK5F22mPh6BmZ/DqdWSno7QPX4jQxSc92U3FqXLxARSrVdrNBp7njoWgtLKB13SQUiptcxSiP8VnB0pH1Tko8MkuJKhQ6cwocvFBNhNqXMgIagIREpTKFF9ouFhq2D23nWqbOUBrqat0VNegwDdfuEvLAOgz6lKUxqwfy11Z6fXhU2iSyJcMkH6X9C5BqaxBVaogJVaj0SMohQpQK+XAk0jLVdooNkSxWMS2bWzbxgmIRFUnCfBNEp7XxnXbXYJSbZJYdVy8vplTGdIjI6gJxHKwQSpVUGU/1lKz01NQKmtQpW3+/81z3VqR6hoU+OaLroJSWYMK1JiztITV8Dd4lSaJYtV//dt1m3bDT8UpTfEFh5ZbtVo3FaeVVdag/Fhewx6LgioF/QSbzeZ4FFQQy3aWOdfxf7/bTHUEPmPoSMjSfIqREdQEYhwKajYgqMVmBxq+W43SvLL4/QTVbRSrqJMEnKegxpLiCxTU8jKtuv/6FyrqXv8wVqtujyXFF6qxdn0VdywEFbQ7ajo0g44VJQWjQkKUg3ZNzWaze6BWVScJACMkKHuZc0HHhzmFNahtOf/1Wcy6SShFRlATiKVAQSk1SQSxlhodaJ71HyxvUxa/S3aNsyy2F/3vWVCn0EIFNTaCCmK5S8u0av7rX6wqVFABQbXrHVrBeSWVCqpYmQri130FJVTXoPz1u02bRqOBEEJpim+NgrKXAU3JqI0QoYJyAoIqaoKygkbDIUI1FqqzDGqQEdQEYrnZQQiU9eID3yQBsNjoQOOs39xVpUmiHBBU8xxL7SUMzehOwlWBucIcAIvWIu7yMqJYRFMwzTVEV0EtLdGu2+TyOobCO+x+BdVaXcEsFjFMdTcgheDQcqu2itew0UpqOrGH6Cqohk2z2aRYLKIp6MQeop+gOvY5THMOvz2nGuRy/u83VFBzObVHQEMFdS5TUEqxqQd1M0TDUrPDdDGHrnCDqRYMdE349S3rrJ+SU9HJPERxFhA+QeUtZvOzSjqxhwgJaqm9hLu8rFQ9QZ+CWl6mZXaUqieAYqVXg2qurlCamlEcP1RQNb+LhML0MIAeKCiv6dBoNLopOVXoJ6hicZFcbk5p/NCybtvLLHbcLqGoQkZQ40FGUBOIpaatNL0HoGmCmWLOr0FZiz3Fo+wb6D5JNc6y6NldQlEFUzep5CosthfHQlBaPo8olXCXlmiVbQoVta+/r8g0WrUOzdUVigr7CII/Ol4IjXa9hlu3ldafIBhaKHoKSmX9CXqGi2aziW6cwzQVpp9Zr6BUGiSAriJb7GQmCZXIUnwTiGXFffhCzJZNvwbVONszNahEaRs0z7FoLSqtP4WYLcz2EZS6AnoIIzis26qpV1Dgp/nadZvWyjKl6RmlsYWmUahU/BRfcwwEpQm/m0RQg1KtoDRNo1gs0mg06HTUKyhdL6BpRWx7kcUxpPgKukZZ1zIFpRgZQU0gFht2t2akErOlnO8QbJ5Vr6DAjxnUoMZBUHOFubEpKPDTfM6yX4MqKnTwhShWTVp1m2ZtlWJVPcGWpmdoLC/jNexuSk4ltFKu6+JTraDAd/L5Jgn1CgrANOfpdM76CkoxQYGf5ssISi0ygppAnK1bbK+qMwCEmC2Z/kHdcSqowMWnOsUHPQXlnDuHsU09weqzsziBi091ig98BdWsdWitrlBSnOIDn6Cay8tjUVDgE5RTt2i1WsoVFPh1qGZzFcepYSpWUOATVN1aouF6Si3mIbbljMzFpxgZQU0YXE+y2OgwX1FPUHNlk+V60+8kofIMVIjSNqzmORp2YywEta2wjVptEa9Ww5gfD0F1luq4jjceBVXJ0VpdxXNd5Sk+8AnKXm2Cp/YMVAitkqNRV38GKkSpVKLT8c/o5caioLZx1vIPGauuQYUxMwWlFhlBTRiWmh1cTzI/hjv47dU8sumfURpLiq+0jSVrGVB7BirEbGEWueh3wTDm1W9gxvw8rdWgEeqYalDhGajilPoUX3l6Bic4ZDwOgtKrJs3gkPG4FJRt++9PMzeeFN9Z2z/jproGBb6Cyg7qqkVGUBOGs3V/ZtD2qrpDkCG2V/PMEAy1G0eKrzzPoub3IpvLq1dQc4U5qjXfJaWPQUEZ27djef6NQXEMNwjFiond9jf40hgIqjQzi+74f9K6wj58IfRKjmagQMZVg3LdZYCx1aCWAv4YZw1KZv34lCEjqAnDQs0nqHEoqB3VPNvEOAlqB0vB6fy54nhqUNNN/4/fmN+uPL6xfR7b9LsXFMagoErTJtLzU2TjUlAF3Vc2WlX9+0ebMmnjK5BxKKhKpYJu+ASo2sUHPkEt47/u82NK8bU9ScP1lMe+WJER1IShp6DU16C2VwvsIGgUW92tPD7VXSzq/ltqNj8eF9+ML0DGk+Lbvp1O0POvNKV+gy9P55EyUCBjUVAzFIP2QPoY1q9XTJrCTyGOg6Cq1Sq5nJ9iHZeCWmYGgF2m+huQnQHpne7YymNfrMgIasLQVVBjIKgd1Tw7RUBQU+MgqN0sBApqvqg+BbetsI2Zhv+xMaf+DtuYn8cyZwCfTFSjNG2C1wg+HoeCmqWgV5AC5Z0kIKhBCQtN08aS4qtWq5hmGzCUjtoI4RPUHGVNUlE4aiPErrz/mp+yMoJShU0lKCHEy4UQjwghHhdC/NqA539ZCPGQEOJ7QogvCCEu2cz1TQLO1jvkDY1qXn0KYns1z06xTEcvQV5dn7wuqjs5oxuURI6Kqa7RZ4gdpR3MNCR2tYhQ2McuhLF9O1Z+mrzhohvq/zTK03mkV8csVtGNcaQQZyjqFTzTU9qHL4QWEFQlX1Lahy9EpVIhbzbRhNo2WSHy5jxLzLHdGI+RISMo9dg0ghJC6MB7gVcA1wC3CyGuOe+ye4CbpZTXAx8D/vNmrW9SsFCzmK/kx/IHWsjp7DWWWTXG4OADyFc5Y+bZoaknD4CZ/AyzDY32lHp1A6BNT9MpzFDUrbHEL1ZySFknV1CvnsBXZUWjgmOMZ4PUKzmaWJQNdXOg+lGtVjHzTTw5ntcnl9vGErNs01pjiR+mDU9lZ6GUYTMV1AuAx6WUT0opO8BHgFf3XyCl/KKUshl8+g1g3yaubyIwrkO6Ifbqyyxq6tNjIU7n8uyU43lbCSGYbxvUquNpISmEwCptI+82xhNfEwjRQDfGoF4B3chRyk3RoT2W+MLQaOgdytp4CMowDAqFNo4zntfHMKosi23MabWxxK8YOmVd43SmoJRhMwlqL3C07/NjwWMb4S3Ap8e6ognEmdXxEtQOljgl1RsYQpzRNXY647uDnK3DUnl8Nl7LnCbfWRlbfOnWQFOf/gxR1Cs0nfFswABNLEpyPO9PKSWm2aDTUV/fCrHELLPy3Nji787nOJWZJJRhIk0SQog3AzcDv7vB828VQtwthLh7YWFhcxc3RkgpOb7cYu/MeO5QkZI57xzHnPGkUDzpcVZ47LDGk0KRnsfUcodT5fEQoOt6dLQiZuPsWOI7nQ6e20JK9Q44AGl75ESeemtpLPEty8LGoeyOJ4XrOKtomkOrOR4CXHZcbHJMe6fGEh9gp5nLalAKsZkEdRzY3/f5vuCxNRBC/DDwm8CrpJQDiwFSyvdJKW+WUt68fbv68zAXCqtth7rljI+gWkvkpM0Ra2oshwkX24s4SHa0azCG+M7CWXRX8kypOZb1N1c6gMBYPKE8NkB9ye+S4Njj+f26Nd8Cvlo/M5b4tZqvzApt9Q44AMvyiaNeH08KNySOqnN0xJXJsSufEZRKbCZBfRu4QghxSAhhAm8E7ui/QAjxPOB/4pPTeP7KJhgnln3lsWdcBFXzN4Dj7gwLdfVGgNPN0wDs6LRhDHfxzkmfOE5VXVYs9Wm4xor/mpgrp3BXV5XHry/6ysyxizhjmBvkrvrrX22eo9NWr2JDgiq2dKSt/jCqZfnvn5VVDc9THz88n1RxnsLzxkMiO80cpzt21k1CETaNoKSUDvCLwGeAh4GPSikfFEL8thDiVcFlvwtUgL8UQtwrhLhjg3DPShxfCglKfZsjAFaDDV7OcmxJ/QZ2puHfU+x0XFg5pjy+fcJf/9lp0SVDlWgs+xt8vrPS/V4qUV/0ax9Cq1BbVG9kcJf89TecFWpn1acpVwPSLsk8zor6G5xQQbVbxe73Uolj7aAPH2exrPHc/+4p5LA8yTk7G1yoAptag5JS3imlvFJKeZmU8j8Ej71dSnlH8PEPSyl3SilvCP69anjEZxdOrPiksXd2TApq6SkAnpE7xkJQp5r+BrPTdWDpiPL49smTAJydYiwEtbrgk0ahfW4sBFULCUpUWD2nnqCcgPR8glK/AS8vLwNQkQXcJfXrbwcKqtMpdr+XSjzdsjCQbOMcbWs8adwDBb8+90x7PEcVLjZMpEniYsXx5RamrjFfHpOLb+kI0iiywAzHlpqjr4+Jo7WjFPQ88643HoI6fgJRqdDKC47V1Cu01bMt8kWdnNPCPrauPJoaK6dPki9XEFqB1QX1NwjOYhtRMfCky+o59QpqcXGRarmKgd5VayrRbj1DLrcDKXWWltSniJ9pd9iT19DwsNonlccHOFD0CerpVmcs8S82ZAQ1QTi+1GL3TAFtDF0AAFg6gpg9yFw5PxYFdbR2lH3V/YjCzNgUlLl3L0WjyNGa+kL3ytkWUztKiGIR+7h6glo+fYrZXXvQcxqrZ8dDUMZcESE0aufUu1uXlpaY2zYHGjhjUFDN1tOUSgcRQoyFoJ5udThY9LMT7fa4FFQ++F6ZglKBjKAmCMeXW+yZHlN6D3zSmD3IvtniWAjqWO0YB6oHYPbgeAjqxAlyu3dzoHqAZ2rPKI+/stBienuR3N492CfGQFCnTjCzazdT2wpjSfG5i21y24pUtm1j5bR6K/Xi4iKzc7PoU3ncZfUbcKv1NOXSQaampsaS4numbXGwVCSXm6PVelp5fICSrrHTNHi6nSkoFcgIaoJw5GyDg/PjOSODlOcRlNoUnyc9jtaOsr+6fywEJT2PzjPPkNu/nwNTB3hmVS1Bea5H/VybqfkiuT176ChWUK5js7qw4BPU9qJyBSUdD3fVQp8rMLt7L4uKCbbT6VCv15mdnUWfzXfrXargOHU6nbMUi5cwOzurXEGtOi6LtsuBgkmpdIhm8yml8ftxSTGfpfgUISOoCcG5usVS0+ay7WMiqMZZ6NRh9iAH5socXWziKJxbs9BcwHKtHkGtHAVPnZPJOXUK2WqRv+xS9lf3c6x+DFdh/PqShedJprcXMQ9cgn3kaaVW4dWFM0jpMbNzN1PbiqwutJTGd5YtkGDMFZjbs4+lk8eUxg8VzdzcHMa2Io5igm21/BuOYmk8BPVMkHK7pJinVLqURvNJpfH7caBgZik+RcgIakLwxILf/+3yHWNqgxMqmrlDXLGjgu1Knl5Up6LClNv+qYCg3A6sqruLt57wNxTz0ks5UD2A4zld16AKrASmhan5IvnLL8NrNnFOqiukL5/yY83s3M309iKdtku7ru4sjnPOX79PUHvptFo0goPBKrC46MeanZ0lt7OE17Bx6+pUQjNIuZUCBVWv17EsdZv8kUDRHCialEuXYtvnsG31VnaAg8U8JywbawxnuS42ZAQ1IXhiwZ/Ed9n2MRHU2Uf8/7ddzhU7/e/x2Gl1PdtC08L+6n7YfrX/4JmHlcXvPPkEAPnLLuPA1AEAnl5VV0dYPu2T9cyOIvnLLwfAeuIJZfGXQoLatZu53b5KPndCXVNaJ1i/saPE3B6/YYvKNN+5c75Ffm5ujtxOf/3OGXUqqtU8AkCxeIAdO3YAcOaMOqv8o00/JXl5yVdQAM0xqajLS3kk8HgzU1FpkRHUhODxM3UKOW18bY7OPAxGEWYPdlXao6frysI/tvQYRaPInvIe2BlMUTn9gLL41pNPoU1Po8/NcWj6EABPLKsjkHMnGuRLBuWZPOZll/nf87HH1cU/+jSFSpXS9AxzewOCOqbu9bdPN9EqOfRyjtk9fg/mxRPqrPhnzpyhWq1SKpUwdvjNXO0z6hR4o/E4eXMnhlFh586d3e+pCo802hwomJR1fewEdU3F/xt+qD6enpQXE8bT9CpDbDyxUOfS+cr4LOZnHoLtV4GmUzJh/1yRx86oJajLZy5H13QoTMP0ATj9kLL4nSeeIH/ppf7IjeI888V5vr/4fWXxF0/UmdtTRgiBMTuLvm0b1hPqCGrhmafYfsC3UJemTIrVHOdOqCSoBrmdPnFUt82TyxdYPKHOin/69OmustGnTYSp4ygkqHrj+1SqvvKenp7GNE1On1Z3GPv7jTZXlf0OLcXifoQwaDTV3eD049JinrwmMoJSgExBTQi+f7LWTb2NBacfgh2Hu59euaOqLMUnpeSRpUe4cvbK3oM7r4HTDyqLbz32GPnLL+s+dvXc1Ty8qCaFKKVk8USDbXt6r3/+8suxHldDUNLzOPvM08xfchDw507N7akoU1DSkzhnmt3UmxCC7Zcc4vSTajZgz/NYWFjoEpQQAmNnCfu0mhSl53VoNJ6gUvHfn5qmsWPHDmUKyvI8nmxaXYLStByV8lXUVtUp/H4YmuCqUoGH6uOZy3UxISOoCcCZ1TanVttcv29mPN9g9STUT8Hu53Yfunp3lcfP1GkpaFp6unmaZWuZK2av6D2481o4+yg46fPw9rFjuCsrFK69rvvY4bnDPLn8JJabPv7KQgur6TC/v0dQhauvwnrkUaSd3siwfPokttVm+4FD3ce27S2zeLKB56V32jlnmsiOR25fb/27Lr+SM089gatgNtfCwgKu67Jr167uY+buMp3jdaSC9TcaTyClTaV8VfexHTt2cPr0aSVOxIfqbWwpeW61N2eqOvUcVmvfQ8rxGBmuqRR5qJEpqLTICGoC8L1jfmfu6/eNZ04Tx+/2/997c/ehmy6ZxfEk9x1bTh3+ewvfA+D6+et7D+66HqQLp+5PHb99vx+j8JweQV09dzWudHl8Kb3KOf2U7+baeWiq+1jxec9Dttu0H06v0k486qcid1/eU5jbD1RxOh6LCowSnWO+Ejb39SbR7rr8SpyOxblj6c+LHTvm17L27esNuDYvmUK2XSVpvpXVewCYnr6h+9iePXtotVpd92Aa3LPqv8bPm+oR1PTUc3Gc1bEd2L22UmSh43DSys5DpUFGUBOAe44uoWuCa/dMjb44CY7dDVoOdj2n+9CNB/yput95Ov15k/sW7iOv57l67ureg5f8gP//ka+kjt+673sI06RwRU+hXTfvk9W9C/emjn/6yCqGqXXddQDF593of+977kkd/+Rj38cslti270D3sT2XzwBw4rH0r3/naA2R1zHmewab3Zf5ZHjq8UdTxz927BjFYpG5ubnuY/lL/Peq9XR6q/bKynfJ5bZRKPTGxV1yySUAPP10egL57mqT+ZzB3nyu+1h1yr+ZWl39Xur4g3DLjP9e+vqyOqfmxYiMoCYAX3/iHNfvm6ZkjsmzcuTvYc/zINcb4zFTMrliR4VvH0l/h/rd09/l2m3XktN7GwCVHTB/lRKCanzzmxSf9zyE2Zvkuqeyh/3V/XzjxDdSxz/x6BI7D02j6b0/h9zOHeT27KH53fQEdfz7D7H7iqsQWi/+1HyR6lyBE48up45vPbFC/tA0os9gM71zF8XqFMcfSW9UOXLkCPv370eIXnx9WwGtkqOjgqCWv8PM9I1r4s/Pz1MqlThy5Eiq2FJKvrZc54Uz5TXxy6XL0fUSyyt3p4q/Ea6tFJk2dL66pO4ox8WIjKAuMOqWw33HVviBy7aN5xu0luDEPXDZS9c9dfPBOb5zZImOkzwPv9Re4sFzD/LCPS9c/+TBF8Mz3wA3eR3EWVrC+v73Kb9offwX7X4R3z79bewUw+caKxbnjjc4cM3cuueKN99E89vfRrrJ63S1c2c5e/RpLrn+eeue23PlDCceX05VZ3GWLZyzLfKXzax5XAjBJdc/j6fu/Q5eio4bi4uLLC0tcdlll615XAhB/pIprCfSrb/ZfIpW+xlm535wXfxLLrmEp59O19HjiZbFCcvmJbPVNY9rmsHc7A9y9uwXxzJcUBeCF82U+eqyOqfmxYiMoC4wvvTIGVxP8g+uGNPo+se/ANKDS9cT1A8f3kHNcvjqE8lHM3z1xFeRSF6858Xrnzz0EujU4JmvJY5f/9LfAVD+wR9c99wL97yQht3g/oXkda6nH/APoO4/vJ6gqv/wH+IuLtL8zncSx3/qXv8O/dBzb1z33L6rZ2nV7G4NLAna3/fXX7hyZt1zl970AlqrK6nSfI8HTsbzCQqgcM023JUOdgo34tlzXwJgftsPrXvu0ksvZWVlJZXd/HNn/df2h+aq656bn/+HWNZJ6o1HEscfhhfPVjnS6vBkdmA3MTKCusC48/6TzFdMnn9w/QapBA/+NVR2wf4XrHvqxVfMU80b3Pm95C197nrqLnYUd3DNtmvWP3nFbWBW4HsfTRy/dtdd5PbsoXDddeuee+HuF2JqJp858pnE8R+/+zRT84U1Dr4QlZe8BFEoUPvMZxPHf+RrX2Z65y627b9k3XOHnrsd3dB49FvJN+DW985i7Ch2D8+ujX8TQtN4/O5vJo7/wAMPsH37drZtW6/wi4fnQBM0H0h+g3P69Kcol6+kWDyw7rlrrrkGTdO4//7kNyB3nFnm+kqRS4rrZ6xt2+bftJ1d+Fzi+MPwo9tn0ICPnVbXcupiQ0ZQFxBn6xaff+gMP/Kc3ejjOKBbOw2PfRauex1o+rqn84bOy67ZyWcePEXDip+GW2gu8NXjX+VHLv0R/4Du+TBLcPhV8NAnwI5vubVPnqT+la8w9SOvXFM/CFE1q7z0wEu586k7E9nNV8+1OPb9Ja64eefA+FqpROUlL2H1rrvwEvSFWzlzmmcevJ9r/sFLB8bPFw0OXr+Nx79zGjdBmtU+28J6coXS9dsHxi9UKhx87o089HdfSGQ3P3v2LM888wzPec5zNnh9cuQvn6F17wIyQePhRuMJVlfvYfeu1wx8vlwuc9lll3H//ffjJehr93C9xT21Jq/eOTvw+Xx+OzMzt3Di5MeQUv2I9l35HC+ZrfKXp5bwxpBGvBiQEdQFxP/62hE6rsc/edHB8XyDb/1PcG14/ls2vORNL7yE1bbDR74dv+vABx7+AB4er7/y9RtfdOM/AWsVvvu/Y8df/N8fACmZ+ck3bnjNG658A8vWMn/92F/Hjn/fF46CEFz7kr0bXjN7+xtxz51j5W8+ETv+3Z/8azRN57qX3rbhNYd/cA+tms0j34zf+Lb+leOgC8q37N7wmhtu+xEay0s8/JUvxY7/ta99DV3XufHG9enJEJUX7sZdsWh+L76KevqZ96FpeXbtfu2G19x4442srq7ywAPxD9X+0dEzFDXBT+3eODuxb9+babePcebMXbHjR8Ebd89xtN3hzoWVscR/tiMjqAuEo4tN/vjvn+JHrt89ng7mi0/B198L170Wtq2vH4S46ZJZfuCybfz+Fx5joRZdJTy9+jQfeuhDvOLQK7rNWwfikh+AS14MX3oX1KJvwtaTT7H0wQ8y/apXYe7bmECev+v5PG/H8/ij+/6I5fZy5PiLJxs88HfHueqFu6jOFTa8rvTCF1J87nNZ+P3fx40xRO/sM0f43uc/zbW3/iOm5jeuLx64Zo4dl1T55ieepFWLfmamc7JB41snKT9/F3rV3PC6QzfcxM5Lr+Cr/+cDtGrRa10nT57knnvu4aabbqJS2fj9Wbh6jtzuMqt3HcFrR1dpq6vf4+TJj7N3z+3kzfkNr7vqqqvYsWMHn//852m1oqvw7642+MtTS/w/e+eZzW3sjt2x/R9TLl/B40/8Lo6j3nH3YztmuKKU53eeOEHdUa/Snu3YVIISQrxcCPGIEOJxIcSvDXg+L4T4P8Hz3xRCHNzM9W0WztUt3vqB72Dogl9/xdWjvyAu6gvwf94MRh5e9tsjL3/Hq66lbbu89QN3R0r1nW2d5Ze++EvkjTy/fNMvj17Pj/43P8X3lz8D7dGbpH3mDMf+5b9AK5fZ/q/+1dBrhRD85i2/yWpnlbd98W20nNGbWGPZ4q7/eT9m0eBFP74xeYfxd7793+KtrnLsX/xLvAibZG3xLHf83jvJlyu8+I3/z8j4L/0nV9Nu2nz2Tx7EjtDZw1m2WPzgQ2jlHFMvW1/bWhNf0/jht/xzmisrfOr3fxfbGt1+Z3l5mY9+9KOUy2VuvfXWEfEFMz9+OW6tw7m/+D7SHp2Ka7WOc/8D/4K8uZ1Dh9429FpN03j1q19NrVbjr//6r7EjdPZ4umXx1gePsDuf45cv2Tl8/ULn6qv+PZZ1ggcf+te4CjqT9EMXgv9y1X6Otjv8y4efyUZwxMSmEZQQQgfeC7wCuAa4XQhxfmX9LcCSlPJy4L8B/2mz1rcZWGnZ/OXdR3nVH36VJxfq/OFP3ci+2fXF7cRoLcE9H4T33QrnnoDX/xlM7xv5ZVfsrPKeN97AfUeX+dE/+Ar/974T1AcQ1Yq1wscf+zg/+cmf5FjtGL936++xo7Rj9Lq2Xwmv/kM4+k14/z+EB/4KrPXOL3d5maWPfpQjr/8J7BMn2fvud5PbOTr+VXNX8c4Xv5N7ztzDG/7vG/jskc/StNd3OGjVOzz498f56Du/TX3J4uVvvY7S1MbqI0Tx2mvZ/R//A81vf5unfuInWP3MZ/Ea6w9gNldXuO9zn+ZDv/6vqC8t8qpf/nVKU6O7g8zvq3LrT13N8UeW+Ni77ubx75zBttYTlduwqX/jBGf+8B7cus22N1+DXs4NiLgWuy6/kh/+uf8PT99/L3/xb36Fx775Nez2eqJqNBp8+9vf5v3vfz/NZpOf/MmfpFQa/f7MXzLF7I9fjvXoEmfeey+tB8/iDSDaTucsR499gG/f/ePY9jLPuf6PyOVGH07fu3cvr3zlK3n00Uf5kz/5Ex5++OGBRLXQsfnjYwu84juPUnc8/vS6Q0wPUU8hZmZu5oor/g1nz36B73znJ1hY+Dyuq66P3i0zFd5x+V7uPLvCj333MT57doW2wmGhz2aIcZwBGPiNhHgR8O+klP84+PzXAaSU7+y75jPBNV8XQhjAKWC7HLLIm2++Wd59d/LDdj/7l7/PmXL6Dg6SQSaH9csefN15iHBJpDgREe0dIAZ+uDaO6H4UKc6QFUX5+aK95kPi9D0V+zXYYEXpfi9rv1Zu9JTsPScHPL1+VRt/Fn6l7DdBSImQMlrwNZG0wCyjBWGk//2ERGouaMFNj51H1Lcj3NHk2r/ajnBp6jae8JekSYEGOJrOaqFIPe879Q4sLfFjDz7IfLMV67dR3v4U26/6KrliHelp2O0KrlXGc3WkZyClNuSXcj7Oe07CdwrP4S+nf4xlfRpdOmxzl5hya5jSISdtdNzzIsjB0aQceM2FwtVnzvC7P/OrqWIIIb4jpbz5/Mc3c9zGXqC/En8MuGWja6SUjhBiBdgGrKnACiHeCrwV4MCBIfWPCFgoVTma3zXyuihvBJVvFqHoxkHpmiK9BlGghg6ixhKRXwI1P9+4XnPZe3DtNZG+3UYX9W124Xsu/H+DH3bYz2d7EiE8NATCpxF/fXYB4ZpoThHh5P3QEfM34TIMDIpeHhsXWzi4QuIhMV2XQ+cWmG01OHTuLDvqNQTQNOS6QMNeqvryfs586yeozJykMnOSfHEVw2yhmRaa1kQIry/U+tgbw7/2hXyBm9p/x/f1q3lUu5rT2g7qRoU2JqsUcEW/E1b0fbU4L1Kkb7pp2FUenwFkS86DklK+D3gf+AoqTaz/+yM/o2RNGTJkyHBx4uVji7yZJonjwP6+z/cFjw28JkjxTQPnNmV1GTJkyJBhorCZBPVt4AohxCEhhAm8EbjjvGvuAP5p8PHrgb8dVn/KkCFDhgzPXmxaii+oKf0i8BlAB/5USvmgEOK3gbullHcAfwJ8QAjxOLCIT2IZMmTIkOEixKbWoKSUdwJ3nvfY2/s+bgM/sZlrypAhQ4YMk4msk0SGDBkyZJhIZASVIUOGDBkmEhlBZciQIUOGiURGUBkyZMiQYSKREVSGDBkyZJhIbFovvnFBCLEAPJ0yzDzntVPaYsjWf2GRrf/CIlv/hYWK9V8ipVw3l2bLE5QKCCHuHtSocKsgW/+FRbb+C4ts/RcW41x/luLLkCFDhgwTiYygMmTIkCHDRCIjKB/vu9ALSIls/RcW2fovLLL1X1iMbf1ZDSpDhgwZMkwkMgWVIUOGDBkmEhlBZciQIUOGiURGUAGEEL8rhPi+EOJ7Qoi/FkLMXOg1jYIQ4uVCiEeEEI8LIX7tQq8nLoQQ+4UQXxRCPCSEeFAI8bYLvaa4EELoQoh7hBCfvNBriQshxIwQ4mPB+/5hIcSLLvSa4kAI8a+C980DQogPCyEKF3pNoyCE+FMhxBkhxAN9j80JIT4nhHgs+H/2Qq5xGDZY/9j2zoygevgccJ2U8nrgUeDXL/B6hkIIoQPvBV4BXAPcLoS45sKuKjYc4F9LKa8BXgj8whb8Gd4GPHyhF5EQ7wHuklJeDTyXLfRzCCH2Av8SuFlKeR3+jLmtMD/uz1k/I/3XgC9IKa8AvhB8Pqn4c9avf2x7Z0ZQAaSUn5VSOsGn38AfST/JeAHwuJTySSllB/gI8OoLvKZYkFKelFJ+N/i4hr9B7r2wq4oOIcQ+4EeAP77Qa4kLIcQ08BL8IaFIKTtSyuULuqj4MICiEMIASsCJC7yekZBSfhl/GGs/Xg38r+Dj/wX8+GauKQ4GrX+ce2dGUIPxs8CnL/QiRmAvcLTv82Nsoc39fAghDgLPA755gZcSB+8G/n+Ad4HXkQSHgAXgz4IU5R8LIcoXelFRIaU8DvwX4BngJLAipfzshV1VYuyUUp4MPj4F7LyQi0kJpXvnRUVQQojPB/nq8/+9uu+a38RPPX3owq304oIQogL8FfBLUsrVC72eKBBC/ChwRkr5nQu9loQwgBuBP5JSPg9oMNmppTUI6jSvxifaPUBZCPHmC7uq9JD+uZ8tefZnHHvnpo58v9CQUv7wsOeFED8N/Cjwj+TkHxA7Duzv+3xf8NiWghAih09OH5JSfvxCrycGfhB4lRDilUABmBJCfFBKuVU2yWPAMSllqFg/xhYiKOCHgaeklAsAQoiPAz8AfPCCrioZTgshdkspTwohdgNnLvSC4mJce+dFpaCGQQjxcvx0zauklM0LvZ4I+DZwhRDikBDCxC8Q33GB1xQLQgiBXwN5WEr5exd6PXEgpfx1KeU+KeVB/Nf+b7cQOSGlPAUcFUJcFTz0j4CHLuCS4uIZ4IVCiFLwPvpHbCGTx3m4A/inwcf/FPjEBVxLbIxz78w6SQQQQjwO5IFzwUPfkFL+vxdwSSMR3L2/G9/B9KdSyv9wYVcUD0KIFwN/D9xPr47zG1LKOy/cquJDCHEr8CtSyh+9wEuJBSHEDfgGDxN4EvgZKeXSBV1UDAgh3gH8JH5a6R7g56SU1oVd1XAIIT4M3Io/ouI08FvA3wAfBQ7gjw56g5TyfCPFRGCD9f86Y9o7M4LKkCFDhgwTiSzFlyFDhgwZJhIZQWXIkCFDholERlAZMmTIkGEikRFUhgwZMmSYSGQElSFDhgwZJhIZQWXIkCFDholERlAZMmTIkGEikRFUhgwTimBW1suCj/+9EOIPLvSaMmTYTFxUvfgyZNhi+C3gt4UQO/A7vb/qAq8nQ4ZNRdZJIkOGCYYQ4u+ACnBrMDMrQ4aLBlmKL0OGCYUQ4jnAbqCTkVOGixEZQWXIMIEIxi58CH/mUT3oGJ0hw0WFjKAyZJgwCCFKwMeBfy2lfBj4Hfx6VIYMFxWyGlSGDBkyZJhIZAoqQ4YMGTJMJDKCypAhQ4YME4mMoDJkyJAhw0QiI6gMGTJkyDCRyAgqQ4YMGTJMJDKCypAhQ4YME4mMoDJkyJAhw0Ti/w9msFrMp6qnTQAAAABJRU5ErkJggg==\n", 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" ] @@ -250,7 +250,7 @@ "\n", "n = 10\n", "sigma = .25\n", - "x = np.linspace(0, 10, 1000)\n", + "x = np.linspace(-2, 12, 1000)\n", "\n", "plt.figure()\n", "plt.xlabel(\"$x$\")\n", @@ -418,106 +418,106 @@ "name": "stdout", "output_type": "stream", "text": [ - "delta_00 = 0.999999999998739\n", - "delta_01 = 0.018315638888710697\n", - "delta_02 = 1.125351747191182e-07\n", - "delta_03 = 2.319522830240641e-16\n", - "delta_04 = 1.6038108905482657e-28\n", - "delta_05 = 3.720075976030123e-44\n", - "delta_06 = 2.894640311655602e-63\n", - "delta_07 = 7.555819019718062e-86\n", - "delta_08 = 6.616261056701202e-112\n", - "delta_09 = 1.9435148500468318e-141\n", - "delta_10 = 0.018315638888710697\n", - "delta_11 = 0.9999999999987479\n", - "delta_12 = 0.018315638888711055\n", - "delta_13 = 1.1253517471923307e-07\n", - "delta_14 = 2.3195228302493623e-16\n", - "delta_15 = 1.6038108905526817e-28\n", - "delta_16 = 3.7200759760238336e-44\n", - "delta_17 = 2.89464031164467e-63\n", - "delta_18 = 7.555819019702406e-86\n", - "delta_19 = 6.616261056701183e-112\n", - "delta_20 = 1.125351747191182e-07\n", - "delta_21 = 0.018315638888711055\n", - "delta_22 = 0.9999999999997685\n", - "delta_23 = 0.018315638888779923\n", - "delta_24 = 1.1253517471954291e-07\n", - "delta_25 = 2.3195228302454397e-16\n", - "delta_26 = 1.6038108905466284e-28\n", - "delta_27 = 3.720075976016127e-44\n", - "delta_28 = 2.8946403116446785e-63\n", - "delta_29 = 7.55581901970241e-86\n", - "delta_30 = 2.319522830240641e-16\n", - "delta_31 = 1.1253517471923307e-07\n", - "delta_32 = 0.018315638888779923\n", - "delta_33 = 1.000000000002522\n", - "delta_34 = 0.018315638888748948\n", - "delta_35 = 1.1253517471911809e-07\n", - "delta_36 = 2.319522830240635e-16\n", - "delta_37 = 1.6038108905466259e-28\n", - "delta_38 = 3.720075976016144e-44\n", - "delta_39 = 2.8946403116461607e-63\n", - "delta_40 = 1.6038108905482657e-28\n", - "delta_41 = 2.3195228302493623e-16\n", - "delta_42 = 1.1253517471954291e-07\n", - "delta_43 = 0.018315638888748948\n", - "delta_44 = 0.9999999999987468\n", - "delta_45 = 0.018315638888711006\n", - "delta_46 = 1.1253517471911791e-07\n", - "delta_47 = 2.31952283024064e-16\n", - "delta_48 = 1.6038108905474523e-28\n", - "delta_49 = 3.7200759760298655e-44\n", - "delta_50 = 3.720075976030123e-44\n", - "delta_51 = 1.6038108905526817e-28\n", - "delta_52 = 2.3195228302454397e-16\n", - "delta_53 = 1.1253517471911809e-07\n", - "delta_54 = 0.018315638888711006\n", - "delta_55 = 0.9999999999987453\n", - "delta_56 = 0.01831563888871106\n", - "delta_57 = 1.1253517471917587e-07\n", - "delta_58 = 2.3195228302491977e-16\n", - "delta_59 = 1.6038108905526882e-28\n", - "delta_60 = 2.894640311655602e-63\n", - "delta_61 = 3.7200759760238336e-44\n", - "delta_62 = 1.6038108905466284e-28\n", - "delta_63 = 2.319522830240635e-16\n", - "delta_64 = 1.1253517471911791e-07\n", - "delta_65 = 0.01831563888871106\n", - "delta_66 = 0.9999999999992604\n", - "delta_67 = 0.01831563888877863\n", - "delta_68 = 1.1253517471954331e-07\n", - "delta_69 = 2.319522830246971e-16\n", - "delta_70 = 7.555819019718062e-86\n", - "delta_71 = 2.89464031164467e-63\n", - "delta_72 = 3.720075976016127e-44\n", - "delta_73 = 1.6038108905466259e-28\n", - "delta_74 = 2.31952283024064e-16\n", - "delta_75 = 1.1253517471917587e-07\n", - "delta_76 = 0.01831563888877863\n", - "delta_77 = 1.0000000000025255\n", - "delta_78 = 0.01831563888876104\n", - "delta_79 = 1.1253517471912122e-07\n", - "delta_80 = 6.616261056701202e-112\n", - "delta_81 = 7.555819019702406e-86\n", - "delta_82 = 2.8946403116446785e-63\n", - "delta_83 = 3.720075976016144e-44\n", - "delta_84 = 1.6038108905474523e-28\n", - "delta_85 = 2.3195228302491977e-16\n", - "delta_86 = 1.1253517471954331e-07\n", - "delta_87 = 0.01831563888876104\n", - "delta_88 = 0.9999999999987745\n", - "delta_89 = 0.018315638888711034\n", - "delta_90 = 1.9435148500468318e-141\n", - "delta_91 = 6.616261056701183e-112\n", - "delta_92 = 7.55581901970241e-86\n", - "delta_93 = 2.8946403116461607e-63\n", - "delta_94 = 3.7200759760298655e-44\n", - "delta_95 = 1.6038108905526882e-28\n", - "delta_96 = 2.319522830246971e-16\n", - "delta_97 = 1.1253517471912122e-07\n", - "delta_98 = 0.018315638888711034\n", - "delta_99 = 0.9999999999987306\n" + "delta_00 = 1.00000 (self)\n", + "delta_01 = 0.01832 (nearest neighbours)\n", + "delta_02 = 0.00000\n", + "delta_03 = 0.00000\n", + "delta_04 = 0.00000\n", + "delta_05 = 0.00000\n", + "delta_06 = 0.00000\n", + "delta_07 = 0.00000\n", + "delta_08 = 0.00000\n", + "delta_09 = 0.00000\n", + "delta_10 = 0.01832 (nearest neighbours)\n", + "delta_11 = 1.00000 (self)\n", + "delta_12 = 0.01832 (nearest neighbours)\n", + "delta_13 = 0.00000\n", + "delta_14 = 0.00000\n", + "delta_15 = 0.00000\n", + "delta_16 = 0.00000\n", + "delta_17 = 0.00000\n", + "delta_18 = 0.00000\n", + "delta_19 = 0.00000\n", + "delta_20 = 0.00000\n", + "delta_21 = 0.01832 (nearest neighbours)\n", + "delta_22 = 1.00000 (self)\n", + "delta_23 = 0.01832 (nearest neighbours)\n", + "delta_24 = 0.00000\n", + "delta_25 = 0.00000\n", + "delta_26 = 0.00000\n", + "delta_27 = 0.00000\n", + "delta_28 = 0.00000\n", + "delta_29 = 0.00000\n", + "delta_30 = 0.00000\n", + "delta_31 = 0.00000\n", + "delta_32 = 0.01832 (nearest neighbours)\n", + "delta_33 = 1.00000 (self)\n", + "delta_34 = 0.01832 (nearest neighbours)\n", + "delta_35 = 0.00000\n", + "delta_36 = 0.00000\n", + "delta_37 = 0.00000\n", + "delta_38 = 0.00000\n", + "delta_39 = 0.00000\n", + "delta_40 = 0.00000\n", + "delta_41 = 0.00000\n", + "delta_42 = 0.00000\n", + "delta_43 = 0.01832 (nearest neighbours)\n", + "delta_44 = 1.00000 (self)\n", + "delta_45 = 0.01832 (nearest neighbours)\n", + "delta_46 = 0.00000\n", + "delta_47 = 0.00000\n", + "delta_48 = 0.00000\n", + "delta_49 = 0.00000\n", + "delta_50 = 0.00000\n", + "delta_51 = 0.00000\n", + "delta_52 = 0.00000\n", + "delta_53 = 0.00000\n", + "delta_54 = 0.01832 (nearest neighbours)\n", + "delta_55 = 1.00000 (self)\n", + "delta_56 = 0.01832 (nearest neighbours)\n", + "delta_57 = 0.00000\n", + "delta_58 = 0.00000\n", + "delta_59 = 0.00000\n", + "delta_60 = 0.00000\n", + "delta_61 = 0.00000\n", + "delta_62 = 0.00000\n", + "delta_63 = 0.00000\n", + "delta_64 = 0.00000\n", + "delta_65 = 0.01832 (nearest neighbours)\n", + "delta_66 = 1.00000 (self)\n", + "delta_67 = 0.01832 (nearest neighbours)\n", + "delta_68 = 0.00000\n", + "delta_69 = 0.00000\n", + "delta_70 = 0.00000\n", + "delta_71 = 0.00000\n", + "delta_72 = 0.00000\n", + "delta_73 = 0.00000\n", + "delta_74 = 0.00000\n", + "delta_75 = 0.00000\n", + "delta_76 = 0.01832 (nearest neighbours)\n", + "delta_77 = 1.00000 (self)\n", + "delta_78 = 0.01832 (nearest neighbours)\n", + "delta_79 = 0.00000\n", + "delta_80 = 0.00000\n", + "delta_81 = 0.00000\n", + "delta_82 = 0.00000\n", + "delta_83 = 0.00000\n", + "delta_84 = 0.00000\n", + "delta_85 = 0.00000\n", + "delta_86 = 0.00000\n", + "delta_87 = 0.01832 (nearest neighbours)\n", + "delta_88 = 1.00000 (self)\n", + "delta_89 = 0.01832 (nearest neighbours)\n", + "delta_90 = 0.00000\n", + "delta_91 = 0.00000\n", + "delta_92 = 0.00000\n", + "delta_93 = 0.00000\n", + "delta_94 = 0.00000\n", + "delta_95 = 0.00000\n", + "delta_96 = 0.00000\n", + "delta_97 = 0.00000\n", + "delta_98 = 0.01832 (nearest neighbours)\n", + "delta_99 = 1.00000 (self)\n" ] } ], @@ -529,10 +529,23 @@ "infty = 10000\n", "x = np.linspace(-infty, infty, 1000000)\n", "\n", + "def ijlabel(i, j):\n", + " \"\"\"\n", + " Returns a string label describing the relation between two states in words,\n", + " if they are close enough.\n", + " \"\"\"\n", + " \n", + " if i == j:\n", + " return \" (self)\"\n", + " if abs(i - j) == 1:\n", + " return \" (nearest neighbours)\"\n", + " # Default:\n", + " return \"\"\n", + "\n", "for i in range(n):\n", " for j in range(n):\n", " integrand = lambda x: atomic_basis(x, positions[i], sigma)*atomic_basis(x, positions[j], sigma)\n", - " print(\"delta_{}{} = {}\".format(i, j, integrate(integrand, x)))\n", + " print(\"delta_{}{} = {:.5f}{}\".format(i, j, integrate(integrand, x), ijlabel(i, j)))\n", "\n", "# Yann had output:\n", "#delta_00 = 1.00000\n",