{ "cells": [ { "cell_type": "markdown", "id": "dedicated-narrative", "metadata": {}, "source": [ "# Counting molten crystals\n", "We follow [arXiv:0809.0117](https://arxiv.org/abs/0809.0117) and\n", "[arXiv:2012.14358](https://arxiv.org/abs/2012.14358).\n", "\n", "Given a brane tiling we associate with it a quiver with potential $(Q,W)$. For any vertex $i\\in Q_0$, we consider the set $\\Delta_i$ of paths starting at $i$ up to an equivalence relation induced by the potential $W$.\n", "This set has a poset structure and can be interpreted as a crystal embedded in $\\mathbb R^3$.\n", "For example, a brane tiling for $\\mathbb C^3$ corresponds to a quiver with one vertex $0$, three loops $x,y,z$ and potential $W=x[y,z]$.\n", "The corresponding Jacobian algebra is $\\mathbb C[x,y,z]$ which has a basis parametrized by $\\Delta_0=\\mathbb N^3$, our crystal.\n", "\n", "We define molten crystals as complements of finite ideals $I\\subset \\Delta_i$, meaning a subset $I$ such that $u\\le v$ and $v\\in I$ implies $u\\in I$.\n", "For any path $u\\in\\Delta_i$, let $t(u)\\in Q_0$ be the target vertex of $u$.\n", "Define the dimension vector of $I$ to be $\\dim I=\\sum_{u\\in I}e_{t(u)}\\in\\mathbb N^{Q_0}$.\n", "We are interested in computing the partition function\n", "$$Z_{\\Delta_i}(x)=\\sum_{I\\subset\\Delta_i}x^{\\dim I}$$\n", "which is closely related to numerical DT invariants of $(Q,W)$." ] }, { "cell_type": "code", "execution_count": 16, "id": "hairy-november", "metadata": {}, "outputs": [], "source": [ "import os, sys\n", "module_path = os.path.abspath(os.path.join('..'))\n", "if module_path not in sys.path:\n", " sys.path.append(module_path)\n", "from msinvar import *\n", "from msinvar.brane_tilings import *\n", "set_plots()" ] }, { "cell_type": "markdown", "id": "dressed-electricity", "metadata": {}, "source": [ "## C3" ] }, { "cell_type": "code", "execution_count": 17, "id": "exact-mortality", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Ginzburg PQ: Quiver with 1 vertices, 3 arrows and potential with 2 terms" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q=CyclicQuiver(1);\n", "PQ=Q.translation_PQ(1); PQ # construct quiver with potential for C^3" ] }, { "cell_type": "code", "execution_count": 18, "id": "dangerous-cursor", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q1=BTQuiver(potential=PQ._potential)\n", "I=partition_func(Q1, 0, 10); show(I)" ] }, { "cell_type": "code", "execution_count": 19, "id": "behavioral-cycling", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}x + 2 x^{2} + 3 x^{3} + 4 x^{4} + 5 x^{5} + 6 x^{6} + 7 x^{7} + 8 x^{8} + 9 x^{9} + 10 x^{10}\n", "\\end{math}" ], "text/plain": [ "x + 2*x^2 + 3*x^3 + 4*x^4 + 5*x^5 + 6*x^6 + 7*x^7 + 8*x^8 + 9*x^9 + 10*x^10" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(I.Log()) #Ideals in N^3 are plane partitions and are counted by the MacMahon formula" ] }, { "cell_type": "markdown", "id": "intensive-brush", "metadata": {}, "source": [ "## C3/Z3 with action (1,1,1)" ] }, { "cell_type": "code", "execution_count": 10, "id": "handled-christianity", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Translation PQ: Quiver with 3 vertices, 9 arrows and potential with 6 terms" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q=CyclicQuiver(3);\n", "PQ=Q.translation_PQ(1); PQ" ] }, { "cell_type": "code", "execution_count": 11, "id": "regulation-memphis", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x_{0} + 3 x_{0} x_{1} + 3 x_{0} x_{1}^{2} + 3 x_{0} x_{1} x_{2} + x_{0} x_{1}^{3} + 3 x_{0}^{2} x_{1} x_{2} + 9 x_{0} x_{1}^{2} x_{2} + 9 x_{0}^{2} x_{1}^{2} x_{2} + 6 x_{0} x_{1}^{3} x_{2} + 9 x_{0} x_{1}^{2} x_{2}^{2} + 9 x_{0}^{2} x_{1}^{3} x_{2} + 21 x_{0}^{2} x_{1}^{2} x_{2}^{2} + 15 x_{0} x_{1}^{3} x_{2}^{2} + 3 x_{0} x_{1}^{2} x_{2}^{3} + 3 x_{0}^{2} x_{1}^{4} x_{2} + 12 x_{0}^{3} x_{1}^{2} x_{2}^{2} + 39 x_{0}^{2} x_{1}^{3} x_{2}^{2} + 12 x_{0}^{2} x_{1}^{2} x_{2}^{3} + 20 x_{0} x_{1}^{3} x_{2}^{3} + 36 x_{0}^{3} x_{1}^{3} x_{2}^{2} + 18 x_{0}^{2} x_{1}^{4} x_{2}^{2} + 18 x_{0}^{3} x_{1}^{2} x_{2}^{3} + 73 x_{0}^{2} x_{1}^{3} x_{2}^{3} + 15 x_{0} x_{1}^{3} x_{2}^{4} + 36 x_{0}^{3} x_{1}^{4} x_{2}^{2} + 12 x_{0}^{4} x_{1}^{2} x_{2}^{3} + 108 x_{0}^{3} x_{1}^{3} x_{2}^{3} + 45 x_{0}^{2} x_{1}^{4} x_{2}^{3} + 75 x_{0}^{2} x_{1}^{3} x_{2}^{4} + 6 x_{0} x_{1}^{3} x_{2}^{5} + 12 x_{0}^{3} x_{1}^{5} x_{2}^{2} + 3 x_{0}^{5} x_{1}^{2} x_{2}^{3} + 73 x_{0}^{4} x_{1}^{3} x_{2}^{3} + 159 x_{0}^{3} x_{1}^{4} x_{2}^{3} + 150 x_{0}^{3} x_{1}^{3} x_{2}^{4} + 60 x_{0}^{2} x_{1}^{4} x_{2}^{4} + 42 x_{0}^{2} x_{1}^{3} x_{2}^{5} + x_{0} x_{1}^{3} x_{2}^{6}\n", "\\end{math}" ], "text/plain": [ "1 + x0 + 3*x0*x1 + 3*x0*x1^2 + 3*x0*x1*x2 + x0*x1^3 + 3*x0^2*x1*x2 + 9*x0*x1^2*x2 + 9*x0^2*x1^2*x2 + 6*x0*x1^3*x2 + 9*x0*x1^2*x2^2 + 9*x0^2*x1^3*x2 + 21*x0^2*x1^2*x2^2 + 15*x0*x1^3*x2^2 + 3*x0*x1^2*x2^3 + 3*x0^2*x1^4*x2 + 12*x0^3*x1^2*x2^2 + 39*x0^2*x1^3*x2^2 + 12*x0^2*x1^2*x2^3 + 20*x0*x1^3*x2^3 + 36*x0^3*x1^3*x2^2 + 18*x0^2*x1^4*x2^2 + 18*x0^3*x1^2*x2^3 + 73*x0^2*x1^3*x2^3 + 15*x0*x1^3*x2^4 + 36*x0^3*x1^4*x2^2 + 12*x0^4*x1^2*x2^3 + 108*x0^3*x1^3*x2^3 + 45*x0^2*x1^4*x2^3 + 75*x0^2*x1^3*x2^4 + 6*x0*x1^3*x2^5 + 12*x0^3*x1^5*x2^2 + 3*x0^5*x1^2*x2^3 + 73*x0^4*x1^3*x2^3 + 159*x0^3*x1^4*x2^3 + 150*x0^3*x1^3*x2^4 + 60*x0^2*x1^4*x2^4 + 42*x0^2*x1^3*x2^5 + x0*x1^3*x2^6" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q1=BTQuiver(potential=PQ._potential)\n", "I=partition_func(Q1, 0, 10); show(I)" ] }, { "cell_type": "code", "execution_count": 12, "id": "aboriginal-bankruptcy", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "I=partition_func1(Q1, 0, 10); show(I)" ] }, { "cell_type": "code", "execution_count": 13, "id": "ranking-bargain", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}x + 2 x^{2} + 3 x^{3} + 4 x^{4} + 5 x^{5} + 6 x^{6} + 7 x^{7} + 8 x^{8} + 9 x^{9} + 10 x^{10}\n", "\\end{math}" ], "text/plain": [ "x + 2*x^2 + 3*x^3 + 4*x^4 + 5*x^5 + 6*x^6 + 7*x^7 + 8*x^8 + 9*x^9 + 10*x^10" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(I.Log())" ] }, { "cell_type": "markdown", "id": "conservative-leadership", "metadata": {}, "source": [ "## C3/Z4 with action (1,1,2)" ] }, { "cell_type": "code", "execution_count": 14, "id": "ultimate-pontiac", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Translation PQ: Quiver with 4 vertices, 12 arrows and potential with 8 terms" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q=CyclicQuiver(4);\n", "PQ=Q.translation_PQ(1); PQ" ] }, { "cell_type": "code", "execution_count": 15, "id": "piano-checklist", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x_{0} + 2 x_{0} x_{1} + x_{0} x_{2} + x_{0} x_{1}^{2} + x_{0}^{2} x_{2} + 4 x_{0} x_{1} x_{2} + 2 x_{0}^{2} x_{1} x_{2} + 4 x_{0} x_{1}^{2} x_{2} + x_{0}^{2} x_{2}^{2} + 2 x_{0} x_{1} x_{2}^{2} + 4 x_{0} x_{1} x_{2} x_{3} + x_{0}^{2} x_{1}^{2} x_{2} + x_{0}^{3} x_{2}^{2} + 4 x_{0}^{2} x_{1} x_{2}^{2} + 6 x_{0} x_{1}^{2} x_{2}^{2} + 4 x_{0}^{2} x_{1} x_{2} x_{3} + 4 x_{0} x_{1}^{2} x_{2} x_{3} + 4 x_{0} x_{1} x_{2}^{2} x_{3}\n", "\\end{math}" ], "text/plain": [ "1 + x0 + 2*x0*x1 + x0*x2 + x0*x1^2 + x0^2*x2 + 4*x0*x1*x2 + 2*x0^2*x1*x2 + 4*x0*x1^2*x2 + x0^2*x2^2 + 2*x0*x1*x2^2 + 4*x0*x1*x2*x3 + x0^2*x1^2*x2 + x0^3*x2^2 + 4*x0^2*x1*x2^2 + 6*x0*x1^2*x2^2 + 4*x0^2*x1*x2*x3 + 4*x0*x1^2*x2*x3 + 4*x0*x1*x2^2*x3" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q1=BTQuiver(potential=PQ._potential)\n", "I=partition_func(Q1, 0, 5); show(I)" ] }, { "cell_type": "markdown", "id": "trying-wheel", "metadata": {}, "source": [ "## C3/Z4 with action (1,0,3)" ] }, { "cell_type": "code", "execution_count": 36, "id": "tired-maine", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Quiver with 4 vertices, 12 arrows and potential with 8 terms" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q=CyclicQuiver(4);\n", "PQ=Q.translation_PQ(0); PQ" ] }, { "cell_type": "code", "execution_count": 37, "id": "confirmed-discrimination", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x_{0} + x_{0}^{2} + x_{0} x_{1} + x_{0} x_{3} + x_{0}^{3} + x_{0}^{2} x_{1} + x_{0} x_{1} x_{2} + x_{0}^{2} x_{3} + x_{0} x_{1} x_{3} + x_{0} x_{2} x_{3} + x_{0}^{4} + x_{0}^{3} x_{1} + x_{0}^{2} x_{1}^{2} + x_{0}^{2} x_{1} x_{2} + x_{0}^{3} x_{3} + 2 x_{0}^{2} x_{1} x_{3} + x_{0}^{2} x_{2} x_{3} + 4 x_{0} x_{1} x_{2} x_{3} + x_{0}^{2} x_{3}^{2} + x_{0}^{5} + x_{0}^{4} x_{1} + x_{0}^{3} x_{1}^{2} + x_{0}^{3} x_{1} x_{2} + x_{0}^{2} x_{1}^{2} x_{2} + x_{0}^{4} x_{3} + 2 x_{0}^{3} x_{1} x_{3} + x_{0}^{2} x_{1}^{2} x_{3} + x_{0}^{3} x_{2} x_{3} + 8 x_{0}^{2} x_{1} x_{2} x_{3} + x_{0} x_{1}^{2} x_{2} x_{3} + x_{0} x_{1} x_{2}^{2} x_{3} + x_{0}^{3} x_{3}^{2} + x_{0}^{2} x_{1} x_{3}^{2} + x_{0}^{2} x_{2} x_{3}^{2} + x_{0} x_{1} x_{2} x_{3}^{2}\n", "\\end{math}" ], "text/plain": [ "1 + x0 + x0^2 + x0*x1 + x0*x3 + x0^3 + x0^2*x1 + x0*x1*x2 + x0^2*x3 + x0*x1*x3 + x0*x2*x3 + x0^4 + x0^3*x1 + x0^2*x1^2 + x0^2*x1*x2 + x0^3*x3 + 2*x0^2*x1*x3 + x0^2*x2*x3 + 4*x0*x1*x2*x3 + x0^2*x3^2 + x0^5 + x0^4*x1 + x0^3*x1^2 + x0^3*x1*x2 + x0^2*x1^2*x2 + x0^4*x3 + 2*x0^3*x1*x3 + x0^2*x1^2*x3 + x0^3*x2*x3 + 8*x0^2*x1*x2*x3 + x0*x1^2*x2*x3 + x0*x1*x2^2*x3 + x0^3*x3^2 + x0^2*x1*x3^2 + x0^2*x2*x3^2 + x0*x1*x2*x3^2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q1=BTQuiver(potential=PQ._potential)\n", "I=partition_func(Q1, 0, 5); show(I)" ] }, { "cell_type": "markdown", "id": "expressed-eating", "metadata": {}, "source": [ "## C3/Z5 with action (1,1,3)" ] }, { "cell_type": "code", "execution_count": 39, "id": "hungry-finding", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Quiver with 5 vertices, 15 arrows and potential with 10 terms" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q=CyclicQuiver(5);\n", "PQ=Q.translation_PQ(1); PQ" ] }, { "cell_type": "code", "execution_count": 40, "id": "precious-elder", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x_{0} + 2 x_{0} x_{1} + x_{0} x_{3} + x_{0} x_{1}^{2} + 2 x_{0} x_{1} x_{2} + 3 x_{0} x_{1} x_{3} + 3 x_{0} x_{1}^{2} x_{2} + 3 x_{0} x_{1}^{2} x_{3} + 4 x_{0} x_{1} x_{2} x_{3} + 3 x_{0} x_{1} x_{3} x_{4} + 3 x_{0} x_{1}^{2} x_{2}^{2} + x_{0} x_{1}^{3} x_{3} + 7 x_{0} x_{1}^{2} x_{2} x_{3} + 2 x_{0} x_{1} x_{2} x_{3}^{2} + 6 x_{0} x_{1}^{2} x_{3} x_{4} + 5 x_{0} x_{1} x_{2} x_{3} x_{4}\n", "\\end{math}" ], "text/plain": [ "1 + x0 + 2*x0*x1 + x0*x3 + x0*x1^2 + 2*x0*x1*x2 + 3*x0*x1*x3 + 3*x0*x1^2*x2 + 3*x0*x1^2*x3 + 4*x0*x1*x2*x3 + 3*x0*x1*x3*x4 + 3*x0*x1^2*x2^2 + x0*x1^3*x3 + 7*x0*x1^2*x2*x3 + 2*x0*x1*x2*x3^2 + 6*x0*x1^2*x3*x4 + 5*x0*x1*x2*x3*x4" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q1=BTQuiver(potential=PQ._potential)\n", "I=partition_func(Q1, 0, 5); show(I)" ] }, { "cell_type": "markdown", "id": "official-share", "metadata": {}, "source": [ "## Examples from a Database\n", "\n", "We use quivers with potentials from a database by [Boris Pioline](https://www.lpthe.jussieu.fr/~pioline/computing.html). " ] }, { "cell_type": "code", "execution_count": 55, "id": "negative-ultimate", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C^3 : Quiver with 1 vertices, 3 arrows and potential with 2 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 5 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "Conifold=Y10 : Quiver with 2 vertices, 4 arrows and potential with 2 terms\n" ] }, { "data": { "image/png": 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zCdWYKysro+P7pqVHQfKXaLfbfc5EnaxottwD5RPK0u12O8rLywF4LZ33nae4hu7xeKi7rKioCHlofTRb7oHyUdptGx4e9pmRy6O4ht7S0kIbUErrcyD2lg6I1YLnGrqa7hovlg6Y0COSlj46YFp6OHENXU13jSdL573bxjV0NYGZeFt6YWEhnXJtWnoEkr+89PT0gCtUWelh6Q6Hg0b2wlm6JEn0h9nY2IirV69GpQx6iFvo4+PjuHDhAgCv6wwXVtXD0q1WKz39ScnomeziXS4XmpqaolIGPcQt9MbGRhrkCFefAxNQrFarpn1mgknJShdZojTmuIXONobC1eeAb9w9GoMtsmSv0d/fH9Zli9KY4xZ6c3MzfT1z5syw6aO1smWy2Pzk05+CqaysjL5my8+buIWuZgPA0dFROkU6WvW5LKVz5YDQZ8DwJCGghzuOQ4+We6D8lHTbZJnQNYj90sJtI6JHyz1QfuEsPSkpiZ7zYkLXIPlLY89VCSZeLB2Y8EptbW0Bd5vkQVxCJ4RQ6EpOWuLF0oGJ8rrd7oC7TfIgLqFfuXKFzoJRAj0aW44Ek5pQLBD6mC9exCV0tVt3R2NzoWBSM+gCiNGC5x66EkuXD+kBENVoHABMnTo14HOCiS2vCV2F1EJn94SR92yNltjNioLtPcPKhK5RkUCPZEepQDKhx0g8Qbfb7XRCphLobEzBhK5Cag/H1RO6JEk0TyXQU1JSaIvfbL2rkGwhGRkZihpmLIyUlJSol0fOUwl0wPc4EB7nwHMHXW1gBtAfuhpLBybK7XK50NnZGfXyRCruoPf19dEvVy30pKSkkAsitEordIDPep076GobccAEjGjX57JY6Er2ijOhq5TaRhwQO+gej4fuSBlKvIdiuYPOs6Wzzwol09JVSstxHDxD53ExI3fQ2ZEsJcdxuN1uusiRF+hqx+BjLe6gs5MP5TNPQ0k+eA/gB/rUqVPpjNxwkynjIe6gqx0b1zMaFyhfJdCtVisdnTMtXYFky7BYLKqjcbxABya8lGnpCiRbhsPhoJv3hRKv0GUv1dvby91cOe6gy5ahpD4H+IUul58QQjc/5EVcQXe5XPTcUqVz3XiFrnZuXSzFFXT2oFqjWDrAX73OFXQts1pj3WVjnxdKpqUrFPvlGMnSTeghxLpBI9XppnsPIdPSYyOuoJuWHhtxBd209NiIK+impcdGXEE3kqVnZmbSMLJp6SHEq6WzM2yVQrdYLNwOunAFXbYIm80WdiMCWXpPf5bLY7fb/Z4XTjJ009JDiB1sUbotWCwsnc1bDXTZWw0MDHC1gyRX0OXRKDXLjXmGzn4OJcucYyWuoMtxbTVumoUQ6qC+SKUFOvs5lMbsYyFuoHs8HjrBUQv01NTUqO4UOVkmdB3EnnumFbqekvMfGRlRvCiR/RzyHjo8iBvorCXwDB1QDtC09DASCbpSF29CDyMTeuwkNPSrV6/C5XIBMKGrkdDQ2Xv07K4B2gCa0MNIC3R2rbgemxGwYufgK1mjDpjQw0prnc6zTOhhpMVVK7W4aEvpc9nPYUIPoEgtXc9onNb8TUsPIzbgwbt711KnmxG5AIq0IcejTEsPI9O9x05CQ+e9IWdCDyPT0mMnw0DnUSb0MDJiP92EHkbsxASbzab6fh7dOxsa5mk3aG6gs+K9K6a0fLx+Dm6gs5Yk+pcqiy2f3p5IjYSGHux+PaQlfxN6GPH0pYQTjz9KNeIGOisjuneexA10kdy7lh+laekBFCl0HmVCD6NIG0q8y4QeRkZ07zyJG+ime4+dhIbO+4/DhB5GkX4pPLr3YPfHW9xAZ2VES+dJ3EDn3ZLMfroOMhtysZPQ0Hn/cZjQdRaP7p1XcQPdSF+qLNPSw4hdFap0ahHvPw72c5jQA4idDKllCRCP7p3XpVrcQNey0wPvitXGhmrFDfS0tDT62ul0KrqH9ynQ7OdgP1+8xQ30SC2dxzlypqWHkeneYyduoLPuTyl03t07+zlM9x5ArCUordNZ8eje2c9hWnoAieTetVi6CT2AtEBn17zpvYk+m798ykM4mdDDSEuXTcvZKlql5dgQs8sWRlosXcvBt1ql5SBf09LDSAt0u91OlwPHErpSSzehh5GWLhswAYB36KZ7D6ApU6bQkTY1XTYZQCzrdKVWa3bZwkiSJE3npLDHbOgp073rpEgOx4kVdJvNpnh7FBO6Asn1nhb3HivoasbFTfeuQJFYOnvKgx7ScmyIfE9ycrLPzKB4i5+SwBe60lBnrPrqkRwUyJOVA5xBT09PB+CNbfN2TooW6PJRmzx11wDOoLPHZys9iTgW0AkhqqETQuhnyM3N1aVcWsUVdPbL6e7uVnRPLOLvV69ehdvtBqDcVQ8MDNA2hgk9hLRAj0WdrqWPzpbfhB5CrHvXYum8Qmc/Fw/iCnqk7j0W0JW6d9PSFYrXOl3LWLoJXaHMOj024hY6T102LdDZ8pvQQ8is02MjrqCnpaUhKSkJAL/QTfceZUmSRL8gLXU6rw05s8sWRix0JYMuvFt6enq67sd8qxW30MfHxzE0NBQ2Pe91Om+uHeAQutqoHI+W7vF4aOudN9cOcAhdbQuexzq9r6+Pbj1iWroCqYXOo6Xz3HIHTOiKpLZON6GrlNqoHI+WznM0DuAculpL56VONy1dpfLz8+nry5cvh01vtVoxZcoUAPy4d7bceXl5upQpEnEHvaSkhL5uaWlRdI/ec9/Vune23DNmzNClTJGIO+gOh4NakxGgsz9iXsQddEmS6BfV3NysKhQbizpdSUi1ubkZgHcpNVtd8SLuoAMTLnF4eBi9vb1h0+u9iFHOV+lKFdnSS0pKuFrZIou/EsHXJcpWE0qse9djmzE1c94HBwfR19cHgE/XDnAKnW38KKnXZRgej0eXDYfUQOe9EQdwCl1tC17vvrqcpxEacYAA0JW4d3kNHDCxfixaIoTQIV4la9LY8prQVUite8/Ozqave3p6oloWp9OJ8fFxAMqGSU33rlFqLV3LwkelYvNTAt20dI1KTU2lX7ASS+cJumnpEUi2ktbWVrpiNJh4hJ6RkYGsrKyoliVa4h66y+VCe3t7yLS8QCeE+ARmeBW30NU05niB3t3dTQ/r4dW1AxxDV9NXZ2FEu/XO5hcOugh9dEAQ6OFa8LxYuggtd4Bj6GrcO9tPjyd0EVruAMfQ1Vi6zWZDZmYmAH2hsz+uQDItPUIVFhbSYUk1ARq9oEuSBIfDETKtaekRym63o7i4GADQ0NAQdshUht7b26v4rFYlkqFPnTqV7i0fTOfPnwfgPTfWtHSNmjt3LgDvipGurq6QaWXoHo+HjmdHQ0qXJxFCUF9fDwAoKyujS655lBDQAdAvNJj0aMG7XC76AwoH/fLly3Q0ji03jzKhhxA7VSscdLZ8JvQIFG/oarprJvQoyYSuj7iGXlxcTKcoiQR9zpw5UXm+XuIausViwezZswEAjY2NISc96hF/VxN3l6Gnp6ejsLAwKs/XS1xDByZcpcvlQmNjY9B08bT0sbExNDU1AfBaud6H/UYqYaADwLlz54Kmiyf0hoYGGhDivT4HBIMeql7XY9BFadxdpEYcYCDoGRkZ9OisWFu6CT3KUgpdkqSoD7qY0OOkzMxMTJ8+HYDyblu0oSclJYXcjECk7hogAHRgwno6OztDDqbI0IeHh+lctUjEDraEapHL0IuLi7k7mSmQhIIOhLb2aLbg2dOWQrn27u5u2p8XwbUDJvSgGh4extjYmF++kyVafQ6Y0IPKqI04wIQeVCb0OKusrAx2ux0AcPbs2aDpohl/Vxp3N6HrJJvNhsrKSgDeL1muaycrHpb+1VdfAfCuXed5MiQrIaADQHV1NQDvwMvp06cDpok19L6+PjrQsnjxYi43FQokMUoJYMmSJfR1bW1twDTRjL8ribvX1dUFLB/vEga6bOmA75fNKtaWzpaDLR/vEhJ6rC09GHS2HKal6yCHw4HS0lIA3sZToAUNU6ZMQUZGBoDYWrrVasWCBQsiel4sJQx0YMKahoaG0NDQEDBNtAZd2PsDLWcaGxvDmTNnAADz58/n7kSmUBIKupJ6Xd5fvaenhx5ar0XyihqHw0HH6VmdPn2a5i9SfQ4IBp2tN4NBLyoqAuBd3hRu25JgIoSgtbXVJ7/JErXlDggGXUljTl70CACXLl3S9Jzu7m4aAGLzY8U+37R0HVVSUkLr12CWruWQgMlSso0I+/zFixdrek68JBR0SZKoK718+TI6Ojr80sQCusfjodBLS0vDblbAm4SCDoRvzEXDvbP3BXLvjY2NdIWqaK4dEBB6uHBsLCxd1KCMLOGgh7N0trUdDUsPBF3U8Kss4aBXVlbSXR4CQZ8yZQqmTZsGIDqWHsi9i9xdAwSEbrPZUFVVBcC7zCnQcduydV6+fFlTgEaG7nA4As5uld27w+Hgem+ZYBIOOjBhXYQQnDx50u+6DMLj8Sg60I+Vx+OhgZlAQDs6OmieS5Ys4X6xYiAJCT1ckIZ1yWpdfFdXF93UP5xrF7E+BwwA/cSJE37XI2nBh2u5s88zocdQ1dXVdBDk2LFjftcj6auH66Ozz1u2bJmqvHmRkNBTU1NpvX769Gm/pU56WTohBEeOHAHgnbAhyuzXyRISOgDU1NTQ15OtXS/o58+fp8dk19TUCNmIAwSGfsMNN9DXsvXJKiwspECi6d7Z57DPF02GhG632+ny5kgs3YTOmUpKSiiU48eP+wVhZNfc3t6u6ihO2dJzcnL81qTL0K1Wq7CNOEBg6MCEtQ0NDeHUqVM+1+QfBCEEbW1tivJjAzOTrbyvr48usqiurhZiHXowGQI64O/itTTmOjo6qFeY3Ig7fvw43X5cZNcOJAh0pY25UKNrRqnPAcGhV1dX021EJ0PXEopNhEYcIDh0u91OG1QXLlzwmf2qxb0H66O73W4aCygqKhJyZI2V0NAB3yDN0aNH6etouvfTp0/TIVyRgzKyhIcerF4vKCigS4cjde9Gcu2AAaCzls7CsdlsKCgoAGBCnyzhoefl5dHtwb/44gufXSpkcB0dHXSMPJRk956bm+uzNk2GnpSUJOT0qMkSHjowYX3j4+M+491svSwHXYLJ7XYHnDHT0dFBF0suW7YMU6ZMiVq54yVDQQd8XbGaxlxHRwc9p529j20cGsG1AwaHrqavnij1OWAQ6PPnz6dnrR45coSGS9X01YP10VnobKNRZBkCusViwfXXXw/AO6om18Fq3HugPvrIyAi++OILAMCsWbOQn58f1XLHS4aADgDLly+nrw8cOAAgcvd+5MgR2htg8xddhoG+atUq+nr//v0AvAEa+VBcLe5dzmdy/sKLEKL0j2u5XC6SlZVFAJCcnBzidrsJIYSUlJQQACQ/Pz/k/TU1NQQAAUBGR0cJIYQsW7aMvtfe3q77Z4iCFLE0jKVbrVasWLECgHeTIHn7TtlVd3Z2Bt1eFJiw9Pz8fCQlJaG3t5fW51VVVXR9nBFkGOgAsHLlSvr6ww8/BKAsQONyuehSJTn9wYMHaS+AzdcIMjx0JY259vZ2GpiR08v3T87XCDIU9MrKSnrk5eHDhzE+Pu5j6c3NzQHvY9+f3IizWq2GarkDBoMuSRK1yuHhYRw7dgzl5eX0erANB9n3y8vL0draSvdxv+666+gulEaRoaAD/i6+oqKC/n/+/PmA97DvV1RUGNq1AwaHvn//fpSXl9OZLkqhG7Z//v8lyS1UBVKcMN6qrKxEfX09bDYbenp6sGDBAp/dJbKzs5GUlISrV6+ir68PV65cgcfjgSRJcDqdqKioQFtbG1JTU9Hb2yvScKqieVz+m54KLEIIuru7sWDBAtTX18PlcmHNmjU+m/v29vait7c34P1WqxXr1q2jiyMWLlyI7u5uFBQUCD8vzkdKozixDCtp0YkTJ8jMmTNpBC2af3l5eWTfvn3x/ohKlFgRuT179uDChQu65N3V1YVdu3bpknc8ZBjod911Fz3GSw9997vf1S3vWMsw0KuqqvDMM8/okveDDz6IW2+9VZe84yFDtd7dbjdWrVqFgwcPRi3P2bNno7a2VpRVqopam4aCDnhDqosWLUJ/f3/EeVmtVhw9elSkteiKoBvGvcuaMWMGfv3rX0clr5///OciAVcupc38mHY8oqC77747om5aTU0NuXr1arw/hlopYmk49y6rt7cX8+bNC3gQQDglJyfj1KlTmDVrlg4l01WJ6d5lORwOvPbaa5ru3b59u4jAFcuwli5r0aJFATcNDqbc3Fx0dnaKGnZNbEuX9ZOf/ERV+ocfflhU4IpleEsfGBhATk6O35ZjpaWluHjxol/6U6dOCXWE5iSZlg4AmZmZuPHGG/3e37hxo997paWlmD9/fiyKFVcZHjqAgCHUJ5980m+c/NZbbzW8awcSEPq0adPwhz/8AYWFhXj//fdRVlYWMJ2RZahJFMFUWVmJmTNn4sKFC+jq6sLnn3+OTz/9lM6MAby7TNx8881xLmlslBDQa2trkZKSAotFggRgzx9eQ2ZaKpyjoxh2OiFJEhwOBz777DMsX77c8C7e0K13t9uNrVu34vnnn0fxtDw8cNs6/MOGtZieM3FMZv+QE7ve248X9ryD+ost2Hj77dj96qt+mwELosQcZZPldrtxz9134809e/Dsjx7AQ5vWw2azBk1PCMGejz7B/U/vQHX1Evxl/34RwStzUUqD9DEbMoiStm7dSiwWC3nzf/yUeI7+mXiO/pk8s+V+snTebJKemkLyHFnkthtryF//z7/R656jfyZHX9pJ0lJSyG0bNtCVrwIpcQdczp49i3nz5mH7o5vx+N3fpu+ve+wnuOuW5Vg2bw5cbg9++uLLONnYhNOv/S+kpUxsIfb24aPY+ONfYN++fVi3bl08PoJWJa57f+yxx/DqrlfQ8tYuJIWYs97V24dpt34HB1/4V9y4pIq+TwjB0u8/gqKKudj7zjuxKHK0lJgROafTiZdf/h1++K3VIYEDQP/QMAAgO9N3rZokSfjHTd/Eu/v2oampSa+ixk2Gg/6nP/0J/f0DeHBj6EALIQRPPPcbfGPxAiycVeZ3/Z7VK5CRlordu3frVNL4yXD99NbWVmSmp6GsYHrIdP9p+6/w9fkL+Pg3OwJeT01OxqyiwrA7TYoow0EfGhpCRpiu1iM7XsDeT47h0K+3ozg/L2i6jNQUDA4ORruIcZfhoKenp2NweDjgNUIIHtnxAt46dAQfvfAvmFkY2hsMDo8Ybm06YMA6vbi4GANDTlxoa/e79vD2X+HV9w/g1V/8GBmpKWi/0oP2Kz0YGfXfgMg5Morzl1pRVFQUi2LHVIbrsjmdThQVFeLBDWvxTw/9wOeapWZtwHt++9PHcf83V/u8929vv4ct//wcGhsbfUbiOFfi9tO3bt2K3a+8jOY/7kJykvq15YQQ/N39j6BkTiX+tHevDiXUTYnZTweALVu2oLu3D8+/8bam+986dAR1587joYcfjnLJ+JAhoc+dOxdPPPEE/ssLv8WbBz5Wde/Rk2fw3f/+r9h4++1YvXp1+BsElCHdO+A9QvO+++7F66//O7Y/shkP37EedlvwzorH48EbBz7GD555FkuXLsP7H3xAz3wTSIlbp8tyu93Ytm0bdu7cicK8XGy+bS02b1iHwrwcmqZ3YBAvv/sX/Obt93DuYgu+vWkTfr97t4jAgUQfWmVVV1dHHnzwQZKWlkasVispnpZP5peXkRkF08gUu53Y7Xbyne98hxw+fJh4PJ54FzcSJe7QajD19/fjjTfeQHNzM/r7+5Geno6CggLccccd9Lx1wWW69wRU4nbZTIWWCT0BZUJPQJnQE1Am9ASUmvF0Yy/7SCCZlp6AMqEnoEzoCSgTegLKhJ6AMqEnoEzoCSgTegLKhJ6A+n8x/7EMjrNK2QAAAABJRU5ErkJggg==\n", "text/plain": [ "Graphics object consisting of 8 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 2 x^{2} + 5 x^{3} + 10 x^{4} + 18 x^{5} + 32 x^{6} + 59 x^{7} + 106 x^{8} + 181 x^{9} + 305 x^{10} + 518 x^{11} + 867 x^{12} + 1418 x^{13} + 2301 x^{14} + 3724 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 2*x^2 + 5*x^3 + 10*x^4 + 18*x^5 + 32*x^6 + 59*x^7 + 106*x^8 + 181*x^9 + 305*x^10 + 518*x^11 + 867*x^12 + 1418*x^13 + 2301*x^14 + 3724*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "C^2xC/2 : Quiver with 2 vertices, 6 arrows and potential with 4 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 10 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "C^2xC/3 : Quiver with 3 vertices, 9 arrows and potential with 6 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 15 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "PdP6=C^3/2x2 : Quiver with 4 vertices, 12 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 20 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "SPP=L121 : Quiver with 3 vertices, 7 arrows and potential with 4 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 13 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 11 x^{4} + 22 x^{5} + 42 x^{6} + 74 x^{7} + 133 x^{8} + 233 x^{9} + 397 x^{10} + 677 x^{11} + 1138 x^{12} + 1877 x^{13} + 3083 x^{14} + 5007 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 11*x^4 + 22*x^5 + 42*x^6 + 74*x^7 + 133*x^8 + 233*x^9 + 397*x^10 + 677*x^11 + 1138*x^12 + 1877*x^13 + 3083*x^14 + 5007*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "P2=C^3/(1,1,1) : Quiver with 3 vertices, 9 arrows and potential with 6 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 15 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "F0.1=P1xP1 : Quiver with 4 vertices, 12 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 20 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 4 x^{2} + 6 x^{3} + 8 x^{4} + 13 x^{5} + 24 x^{6} + 42 x^{7} + 72 x^{8} + 139 x^{9} + 281 x^{10} + 548 x^{11} + 1088 x^{12} + 2202 x^{13} + 4586 x^{14} + 9650 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 4*x^2 + 6*x^3 + 8*x^4 + 13*x^5 + 24*x^6 + 42*x^7 + 72*x^8 + 139*x^9 + 281*x^10 + 548*x^11 + 1088*x^12 + 2202*x^13 + 4586*x^14 + 9650*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "F0.2=P1xP1 : Quiver with 4 vertices, 8 arrows and potential with 4 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 16 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 2 x^{2} + 5 x^{3} + 10 x^{4} + 18 x^{5} + 32 x^{6} + 59 x^{7} + 106 x^{8} + 181 x^{9} + 305 x^{10} + 518 x^{11} + 867 x^{12} + 1418 x^{13} + 2301 x^{14} + 3724 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 2*x^2 + 5*x^3 + 10*x^4 + 18*x^5 + 32*x^6 + 59*x^7 + 106*x^8 + 181*x^9 + 305*x^10 + 518*x^11 + 867*x^12 + 1418*x^13 + 2301*x^14 + 3724*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "F1=dP1=Y21=L312 : Quiver with 4 vertices, 10 arrows and potential with 6 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 18 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 2 x^{2} + 4 x^{3} + 9 x^{4} + 18 x^{5} + 35 x^{6} + 70 x^{7} + 143 x^{8} + 274 x^{9} + 519 x^{10} + 961 x^{11} + 1744 x^{12} + 3081 x^{13} + 5320 x^{14} + 9007 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 2*x^2 + 4*x^3 + 9*x^4 + 18*x^5 + 35*x^6 + 70*x^7 + 143*x^8 + 274*x^9 + 519*x^10 + 961*x^11 + 1744*x^12 + 3081*x^13 + 5320*x^14 + 9007*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "F2=C^3/(1,1,2) : Quiver with 4 vertices, 12 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 20 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "dP2.1 : Quiver with 5 vertices, 13 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 23 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 2 x^{2} + 3 x^{3} + 7 x^{4} + 14 x^{5} + 31 x^{6} + 64 x^{7} + 135 x^{8} + 296 x^{9} + 644 x^{10} + 1362 x^{11} + 2775 x^{12} + 5483 x^{13} + 10489 x^{14} + 19393 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 2*x^2 + 3*x^3 + 7*x^4 + 14*x^5 + 31*x^6 + 64*x^7 + 135*x^8 + 296*x^9 + 644*x^10 + 1362*x^11 + 2775*x^12 + 5483*x^13 + 10489*x^14 + 19393*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "dP2.2 : Quiver with 5 vertices, 11 arrows and potential with 6 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 21 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 2 x^{2} + 6 x^{3} + 13 x^{4} + 28 x^{5} + 52 x^{6} + 94 x^{7} + 169 x^{8} + 291 x^{9} + 488 x^{10} + 788 x^{11} + 1253 x^{12} + 1979 x^{13} + 3084 x^{14} + 4760 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 2*x^2 + 6*x^3 + 13*x^4 + 28*x^5 + 52*x^6 + 94*x^7 + 169*x^8 + 291*x^9 + 488*x^10 + 788*x^11 + 1253*x^12 + 1979*x^13 + 3084*x^14 + 4760*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "PdP2 : Quiver with 5 vertices, 13 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 23 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 7 x^{3} + 16 x^{4} + 35 x^{5} + 68 x^{6} + 131 x^{7} + 240 x^{8} + 427 x^{9} + 742 x^{10} + 1247 x^{11} + 2067 x^{12} + 3363 x^{13} + 5402 x^{14} + 8582 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 7*x^3 + 16*x^4 + 35*x^5 + 68*x^6 + 131*x^7 + 240*x^8 + 427*x^9 + 742*x^10 + 1247*x^11 + 2067*x^12 + 3363*x^13 + 5402*x^14 + 8582*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "dP3.1 : Quiver with 6 vertices, 12 arrows and potential with 6 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 19 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 2 x^{2} + 4 x^{3} + 7 x^{4} + 14 x^{5} + 26 x^{6} + 44 x^{7} + 73 x^{8} + 123 x^{9} + 204 x^{10} + 338 x^{11} + 554 x^{12} + 883 x^{13} + 1397 x^{14} + 2201 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 2*x^2 + 4*x^3 + 7*x^4 + 14*x^5 + 26*x^6 + 44*x^7 + 73*x^8 + 123*x^9 + 204*x^10 + 338*x^11 + 554*x^12 + 883*x^13 + 1397*x^14 + 2201*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "dP3.2 : Quiver with 6 vertices, 14 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 26 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 7 x^{3} + 17 x^{4} + 34 x^{5} + 63 x^{6} + 107 x^{7} + 176 x^{8} + 279 x^{9} + 438 x^{10} + 671 x^{11} + 1020 x^{12} + 1531 x^{13} + 2300 x^{14} + 3443 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 7*x^3 + 17*x^4 + 34*x^5 + 63*x^6 + 107*x^7 + 176*x^8 + 279*x^9 + 438*x^10 + 671*x^11 + 1020*x^12 + 1531*x^13 + 2300*x^14 + 3443*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "dP3.3 : Quiver with 6 vertices, 14 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 26 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 4 x^{2} + 10 x^{3} + 22 x^{4} + 43 x^{5} + 72 x^{6} + 111 x^{7} + 168 x^{8} + 251 x^{9} + 374 x^{10} + 567 x^{11} + 858 x^{12} + 1295 x^{13} + 1963 x^{14} + 2982 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 4*x^2 + 10*x^3 + 22*x^4 + 43*x^5 + 72*x^6 + 111*x^7 + 168*x^8 + 251*x^9 + 374*x^10 + 567*x^11 + 858*x^12 + 1295*x^13 + 1963*x^14 + 2982*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "dP3.4 : Quiver with 6 vertices, 18 arrows and potential with 12 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 6 x^{2} + 21 x^{3} + 56 x^{4} + 126 x^{5} + 246 x^{6} + 432 x^{7} + 696 x^{8} + 1059 x^{9} + 1552 x^{10} + 2250 x^{11} + 3258 x^{12} + 4761 x^{13} + 7003 x^{14} + 10410 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 6*x^2 + 21*x^3 + 56*x^4 + 126*x^5 + 246*x^6 + 432*x^7 + 696*x^8 + 1059*x^9 + 1552*x^10 + 2250*x^11 + 3258*x^12 + 4761*x^13 + 7003*x^14 + 10410*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "L131 : Quiver with 4 vertices, 10 arrows and potential with 6 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 18 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 12 x^{4} + 23 x^{5} + 43 x^{6} + 78 x^{7} + 141 x^{8} + 246 x^{9} + 426 x^{10} + 725 x^{11} + 1221 x^{12} + 2029 x^{13} + 3339 x^{14} + 5442 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 12*x^4 + 23*x^5 + 43*x^6 + 78*x^7 + 141*x^8 + 246*x^9 + 426*x^10 + 725*x^11 + 1221*x^12 + 2029*x^13 + 3339*x^14 + 5442*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "L152 : Quiver with 6 vertices, 16 arrows and potential with 10 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 28 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 7 x^{3} + 15 x^{4} + 32 x^{5} + 62 x^{6} + 121 x^{7} + 223 x^{8} + 406 x^{9} + 718 x^{10} + 1242 x^{11} + 2110 x^{12} + 3507 x^{13} + 5749 x^{14} + 9275 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 7*x^3 + 15*x^4 + 32*x^5 + 62*x^6 + 121*x^7 + 223*x^8 + 406*x^9 + 718*x^10 + 1242*x^11 + 2110*x^12 + 3507*x^13 + 5749*x^14 + 9275*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "C^3/(1,1,3) : Quiver with 5 vertices, 15 arrows and potential with 10 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 25 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "Y23=L153 : Quiver with 6 vertices, 16 arrows and potential with 10 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 28 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 8 x^{3} + 18 x^{4} + 36 x^{5} + 68 x^{6} + 121 x^{7} + 210 x^{8} + 356 x^{9} + 594 x^{10} + 976 x^{11} + 1588 x^{12} + 2547 x^{13} + 4062 x^{14} + 6414 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 8*x^3 + 18*x^4 + 36*x^5 + 68*x^6 + 121*x^7 + 210*x^8 + 356*x^9 + 594*x^10 + 976*x^11 + 1588*x^12 + 2547*x^13 + 4062*x^14 + 6414*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "C^3/(1,1,4) : Quiver with 6 vertices, 18 arrows and potential with 12 terms\n" ] }, { "data": { "image/png": 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KunbtylwNhqyO9PXrV9FCojNnzqS6b0JCAnXq1El0boGBgQbTYkzu379PHTp0UBsw9O7dm96/fy+1PI4YbuAzGnK5nNauXauWK8bDw4NWrlxptj52VV69eqUW2TNu3Lg03UiCIIgmB9NKx/v+/XujlL5bsWKFaE4jrWstl8upf//+onP866+/zGJBlDb8999/VKZMGZF+V1dXmjdvnllO0GdSuIHPSJw6dUqtwIatrS2NHDnSZKl69eX06dPk4eEh8lPv2LHjh8ft27ePHVOoUCGKi4szgVoxcrmcKlSowHSsWbMmzf0FQaAJEyaouTxev35tIsX6kZSURIGBgZQ1a1bROZQsWZKOHDkitTwON/AZg6dPn1LHjh3VHps7dOhAT548kVqeVgiCQEuWLCEbGxumv3DhwlqlG05ISKBixYqx43bu3GkCxZoJCQkRRZxo88O6adMmUYEUDw8PFkdvCXz8+JH69eun5p9v06aNxdx/GRRu4C2ZqKgoGjVqlNqS+YoVK1qUgYiPj6c///xTdA5NmjTRuirRnDlz2HH16tWTPCJI1b8+YsQIrY65fv06eXp6suOsra1p/vz5kp+LLly9epVq1qwp+hzt7Oxo3Lhx9O3bN6nlZUa4gbdE5HI5rVq1inLmzKkWurZmzRqL8LMrefPmDf3000+i8xgxYoTWuVDev3/PCmFbWVnRjRs3jCtYC54/f84mt21tbenRo0daHRcREUHNmjUTXYsuXbqY3WritBAEgbZs2SJabQykLO7aunWrRf1gZQC4gbc0Lly4IPLzAikZHseOHWtxi09CQ0NFk8GOjo46hwyqrlr966+/jKRUd1QrS+mStVIul6tVpSpXrhw9fvzYiGoNT3R0NI0ZM0atQHmdOnXo+vXrUsvLLHADbynEx8fTqFGj1HKfdO7c2SxS9+rKypUrRV/+QoUK6fzFv3r1KvP7Zs2alT5+/Ggktbrz7ds3yps3Lzs/XScd9+zZw55MlOe3f/9+I6k1Ho8ePaJWrVqJ7lmZTEaDBw+2qCcTC4UbeEvg8uXLVLp0adGXpHLlymnGWpsriYmJauGBDRo00LleqCAIVLt2bdbGggULjKQ4/aimMShdujQlJSXpdPz9+/fV8gVNnjzZIlePHjx4kIoXLy46l+LFi9OFCxeklpaR4QbenElISKDx48eLilrb2dmRv7+/RebrDg8PV0tN6+Pjk65z2b59uygszxxjrxUKBdWoUYPpTM9ipujoaLUIqZYtW5pV+mZtSUxMpNmzZ4tWFFtZWdGECRPM8vPLAHADb65cv35draBF5cqVKSwsTGpp6eLixYsil4W9vT1t3LgxXW3FxsZS/vz5WVuHDh0ysFrDcenSJabTzc1N5ycVopSnlVmzZoncc0WLFqXbt28bQbHxefjwIVWvXl3t3r57967U0jIa3MCbG0lJSTRlyhRRPLiNjQ1NmzZN50d8c0Aul9OcOXNEoZz58+enK1eupLvNKVOmsLZ++eUXA6o1DqopF/7+++90t3P8+HHKnj07a8vJyYm2bdtmQKWmIzk5maZNmya6z+3t7WnBggUW6YIyU7iBNydu376tthK1QoUKZhH6lx6ePXtGdevWFZ1P3bp19cpZ8vLlS/aIb2NjQ/fv3zegYuPw9u1bypIlC3NJ6DPyfv78OVWuXFl0Tfv3729xEVRKrl69qja/VL9+fbMrimKhcANvDiQnJ9PMmTNFUSXW1tY0ceJEi/RNCoJAa9asIWdnZ1HkxMiRI/V+Cvntt99Ym76+vgZSbHxmzpwpmlTWJx48Li6O/vjjD5FR9PT0tKjFbarExcWRj4+P6HxcXV1pw4YNPG5eP7iBl5p79+6p+SPLlCmjlwtDSt6/f69WtNvT09MgET9nzpxhbebIkYO+fv2qv2ATER8fT4ULF2b69+zZo1d7giDQypUrRUVQANCQIUMsNvzw5MmTVKBAAdH5tG/f3qzCXy0MbuClQi6X09y5c0XpfK2srGj06NEWW/9y9+7dopS5QEqKX0O4D+Ryuch9tXLlSgMoNi179uxh+osUKWKQz/nJkydqbrBixYrR2bNnDaDY9ERGRqqlic6ZMycFBwdLLc0S4QZeCh4/fqwWLliyZEmLjQlO7Uu5b98+g/WxZs0a1raXl5dFpWNQIggCNWjQgJ2Hv7+/QdpVKBQUEBAgSlgmk8lo2LBhkmTVNASaBgt//vmnxc41SAQ38KYmKCiIXF1dM8wX8cSJE0Z/rI6KihLl3bFUXzMR0a1bt1i4Y5YsWejt27cGa/vhw4dqyb5KlixJFy9eNFgfpuTdu3dqq2A9PT3p9OnTUkuzFLiBNxVyuVwt93fRokUt9lE6tYmxjRs3GnxibOTIkayPTp06GbRtKRg4cCA7n169ehm07dRcf2PGjLGYYiKqaJqwt7Kyojlz5vAJ2B/DDbwp+Pz5MzVv3lxkDH/99VeLTaGqKbStQYMGRglte/ToEYsusre3p+fPnxu8D1Pz6dMncnNzY9fOGDVN7969S9WqVRN9RmXLlqWrV68avC9T8PTpU6pTp47ofH777TeKjY2VWpo5ww28sblx44YoesLa2prmzZtnkaOP1BanBAQEGG1ximpEzoQJE4zShxQEBgay86pRo4ZR7ofk5GSaMWNGhgm/lcvlNGnSJJGRr1ixYob40TcS3MAbk82bN4vybnh4eNDJkyellpUuwsLCTL68/OjRo6yvvHnzWuwTjyaSkpJET0FbtmwxWl+aFtB5eXnRzZs3jdanMdm7d6/IZZM9e3aLKCQvAdzAG4OkpCQaOnSo6AtVrVo1evXqldTSdObLly80ZMgQUcIzU4wCk5KSREWdN2/ebLS+pOLIkSMm+wFLLQXGhAkTLDJu/u7du6LslNbW1hQQEGCRT8ZGhBt4Q/Pu3Tu1uOS+fftaXGy7XC6nlStXinKfACkpXk0RlbFo0SKRCyOj5idRjRIxhQvq2rVrakns8ubNS5s2bbK4a/z161f65ZdfROfSvXt3i41IMwLcwBuS8+fPi0qV2dnZ0apVq6SWpTOhoaFqj/ROTk7k5+dnkh8qU0xCmgsPHz40+SSyMg216mhe+ZR57tw5o/dvSORyOY0bN07Ndfjy5UuppZkD3MAbAkEQaNmyZaLJrPz581ucYXrz5g117dpV9GUBQL///ju9fv3aZDr+/vtvo4URmiMjRoxg59u5c2eT9fvw4UO1tBJASh1YS0v2tXPnTpbQTTnfderUKallSQ038PqiKfFTvXr16MOHD1JL05r4+HiaOXOm6AuinIgz9aKS27dvG20hkLkSGRlJHh4e7Lqb2jAdP36cypUrJ/rs7e3tafz48RY1sX379m0qUqSIaI5h8eLFmdkvzw28PmhK3Tps2DCLqbYkCALt27ePihYtKjqHbNmy0fLly02eDkAQBGrYsCHTMXPmTJP2LyWrV68W/bCa+tonJyfTihUr1NID5M6dm9atW2cx/vnPnz9T06ZNRefQu3dvi5sDMxDcwKeXc+fOqRVf2L59u9SytObBgwdqi6+srKxo0KBB9PnzZ0k07d27l2kpXLhwpvpSmksytcjISBo5cqTI3aj0a1tKigC5XE6jRo0S6a9evbpJ3YxmAjfw6eHgwYOi+PZixYpZTPm0qKgoGjFihNoEW/369enWrVuS6YqPjxc9XuubTtcSMad0yI8fP6b27dur+ec7depEz549k0yXLmzfvl30Pc2VKxeFhoZKLcuUcAOvK1u2bBEZx8aNG1tEXnK5XE7r16+nXLlyib6wBQoUoB07dkjup/T392eaGjZsKLkeqejSpYvI3Sc1J0+eJC8vL9E9Y2dnR6NHj6aoqCip5f2QGzduUKFChURzC5ko9TA38LqwcOFC0Y3euXNns0/glJycTJs2baJSpUqJtDs4ONCkSZPMIpdHeHi4wUraWTovX75kaX9tbGzowYMHUksiuVxOa9asEWX0BFJSQi9dutTsXWmfPn0Sze1YW1vTpk2bpJZlCjK3gd+1axfNnDmTIiMj09xPEAQaP3686OYeMGCAWeckT0xMpDVr1qhNoAKgjh07mlX+DtUopIEDB0otR3JU8620aNFCajmMqKgoGjNmjKiAutL1MXv2bLMe0SclJamFAC9cuFBqWcYm8xr4mzdvkkwmIwBUqVKlVPOXy+Vy6t+/v+jGmDRpktm6EBISEmjZsmVUsGBBNcP+888/m10unMuXLzN9bm5u9OnTJ6klSU5MTAzlz5+fXZeDBw9KLUnEs2fPqHPnzmr3l5ubG02YMMFsS+wpFAoaNGiQSPPEiRPN9rtsADKvgZ84caLogy5VqhS9efNGtE9CQgJ16tRJtN+iRYskUpw2sbGxtHDhQsqbN6/aF69x48ZmGQEhCALVqFGD6QwMDJRaktmwbds2dl1Kliypd7FyY3D9+nXq3LkzGygpN0dHR/L29jbL3EuCIKhlpBw0aJDFhIHqSOY18BUrVlQzhJ6envTkyRMiIoqOjhb57WxsbGjbtm0Sq1bn27dvNGfOHDX/qPLx/vz581JLTJUtW7YwraVLlzZLIyYVgiBQ7dq12fUJCAiQWlKqPHjwgP7880+10EpbW1v6888/6eHDh1JLVOP7+bSuXbtmxPsvcxr4169fqxlD5ZYnTx46c+YMValShf3PycmJDh8+LLVsEZGRkeTn56eWDAwAtWvXzuwLO8TExFC+fPmY5iNHjkgtyey4cuUKuz5Zs2Y1W9eHklevXpG3t7coNBFIKUvZuXNnun79utQSRWzcuFGUJbVFixZmEXRgQDKngV++fHmqBl4ZyaH8293d3axGwV++fKHJkyeLknEpv0S//vqrpLHsuqDqImvVqpXUcsyW3r17s+vUv39/qeVoxcePH2nChAlq9ygAat68OZ0+fdps/N7BwcGi8oZ16tSxiLBnLcmcBr5FixZpGnjlliNHDrpz547UcomI6MOHDzR27FhycXFR+zHq1q0b3bt3T2qJWvP8+XMWCmhra2uWj/Dmwrt371hxC5lMRjdu3JBaktZERUXR7Nmz1dZeAKDatWvTgQMHzMLQnzp1SvS98vLyovfv30styxBkPgMfExMj+sVOa7O3t5c0gkEQBDpx4gR16dJFzb9pY2NDvXv3pkePHkmmL72oRmCMGDFCajlmz+zZs9n1qlevnlkYRV2Ij4+nZcuWkaenp9p3zMvLi9asWSN5UrNr166JEr4VK1bMrEKJ00nmM/BBQUFaGXdVQ7pjxw6Tavzw4QPNmTOHihUrpqbH1taW+vfvb7E336lTp9i55MyZ84drEDgp0Vyq6xl27doltaR0kZycTJs3b6ayZcuq3ddZsmShPn360Pnz5yX7AXvw4AEVKFCAacqbN69RS1KagMxn4Pv06aOTgVe6QdauXWtUXQqFgv777z/69ddf1UbrSnfRiBEjLDphklwuFy17X716tdSSLAbVgYmnp6dFVy1SKBQUFBREP/30k8bvW5kyZWj+/PmSTCq/evVKtOo7W7ZsJqlgZiQyl4FXKBQa/YHabsbIYfH+/XuaNWuWxhWnAKhRo0b077//mn1KBG1YtWoVO69KlSqZ9Upgc0MQBGrcuDG7fn5+flJL0htBEOjKlSvUv39/cnV11fi02qlTJzp8+LBJ75WPHz9S1apVRU8Xx48fN1n/BiRzGfhLly6l27gDoGbNmhkkVlahUNCxY8eoU6dOalkdla6L0aNH0+PHjw1w1ubB169fRT7OM2fOSC3J4ggLC2NhfU5OTmoL8yyZmJgY2rBhg1o9Y+VWoEABmjRpkslck9HR0dSgQQPRfNyxY8dM0rcByVwGfsKECeky7Kphk3Pnzk13/+/evaOZM2dS4cKFNfbTuHFj2rlzJyUmJhrwrM2DYcOGsfPs0qWL1HIslsGDB7Pr2L17d6nlGIUHDx7QqFGjND5ty2QyatKkCf3zzz9Gf6qNj4+ntm3bsr4dHBwoJCTEqH0amMxl4L9Pe/qjrWLFiqJHNSAlTlYX4uPj6cCBA9ShQweNo/VcuXLRmDFj2ArajMiDBw/YuTs4OPCCyHrw+fNnypYtG7t/Lly4ILUko5GUlER79+6lVq1aiQZZqv5xb29vo2YfTUpKEuXFz5IliyXllM88Bv7ly5daGfU8efLQyJEjKSQkhGrVqqX2vp2d3Q/To0ZGRtK2bdvo119/ZTHM329Nmzal3bt3Z8Tl0WqorjuYNGmS1HIsnsWLF7PrWb169YyaR0XEmzdvaMaMGanOVVWpUoX8/PwoLCzM4FE4iYmJ1KpVK9aXi4uLpUy8Wr6Bj4+Pp3PnztGBAwcoKCiITp06pTEjYVruGUdHR+rWrRsdPXqU5HI53bp1S2M2RuV29uxZtfbDw8NpxYoV1KxZM41RMEBKfctx48ZZTEUcQ3Do0CF2/vnz56eYmBipJVk8ycnJolDDjRs3Si3JZCgUCjp58iR169Yt1fUsRYoUIV9fXzp16pTB6iPHx8dTs2bNWB9Zs2bVmA4kMjKSzpw5Q8HBwbRv3z46e/aslDH+lmvgnz59SiNHjqTsKo+rqqPs7t27i2Jqvy94IZPJqEGDBrR+/XqKjo5m7e7bty/VUbdy8/f3JyKiR48e0ezZs6lmzZpqGfVUHyP/+OMPCg4OzhSjdVWSkpKoZMmS7FqYY7I2S+X48eOip07Veziz8OXLF1qyZIla4XvVLXv27NSrVy/as2eP3oOLuLg4UQLCbNmy0c2bN4koJbNmv379yMnJSU2Dq6sLDRkyRIrV5pZn4GNiYuj3334jmUxGbi4u5PNbe7qyfjG92beV3h/8h+5uX0VzBvelIvlT0uZWrVKFnj59SpMnTyaZTEbOzs40efJkNT+wIAg0Z86cVA216la0aFEqU6ZMqu8XLFiQhg4dSiEhIQYbQVgiAQEB7JrUrl3b4lZgmjuqE4Bjx46VWo6kPH/+nAIDA6lhw4aiBGKqm729PZUoUYK8vb3p3bt36eonJiZGFOmTLVs2ql6tGgGgfDk9aGq/HnR7ywp6d3A7hR/YRjc2LaOxvX4jD3c3AkAtW7SgL1++GPjsU0Uruy0jImiJ1jumhy9fvqB5s2a4d/cu5g3pix6/NIKTg4PGfQVBwNFL1+AdsALRCUk4euwYKlSoACsrK7V9ExMTMWDAAGzYsCHd2sqVK4f27dujXbt2qFSpEmQyWbrbygh8+vQJxYsXR1RUFGQyGa5cuYIqVapILStD8eTJE5QtWxZJSUmwt7fHvXv3UKRIEallSc7Xr19x6NAhBAUF4ciRI4iJidG4X6lSpfDHH3+gXbt2KFmypNbtf/v2Dc2aNcOFCxdgbW2FHFmzYunIQWhTpyZsbKw1HpOYlISdJ8/CZ+FK5MqTF8f/+w/58uVL1/npgFZGyCwMfGJiIpo2aYI7t2/hWOAMVC5ZXKvjPn2NRIthk/D2axQuXrqEQoUKid//9AkdOnRAaGiozppq166Ndu3aoV27dihWrJjOx2dkBgwYgJUrVwIAevfujXXr1kmsKGMyevRozJkzBwDQoUMH7N69W2JF5kViYiJOnjyJ4OBgrF27FnK5XON+JUqUQLt27dC2bVtUr14dNjY2abb79OlTVChfHrmzZUXI0rkokMtDKz0PX75GE+9xyJ4rD86cPQtXV1edz0kHtBtlajvUN+azxrRp08jezo5CVy4g4cIRts0Y8AdVLV2cnJ0cycM9K7X9uSbd/2e1aJ/3B/+hwvnyUJPGjUVthoWFaUyApM02c+ZMY56uRXPz5k0W1ubs7Jzux2HOj4mKihLFi584cUJqSWaLpiI/mjYXFxdq0aIFzZ07l65evapxFW3Xrl0pZzZ3erp7g8jWCBeO0OvgLdStWQPK5upCjvb25FW8CF1Zv5i9f3vLCnJ1zkJDhgwx9ilrZbfVfRomRi6XY+WKFej5SyPUqlBG9N6ZG2H4u2NrXFgdgGOB/pDLFWjmMx6x8Qlsn5zZ3DC1b3cc/+8/PHz4EACwfPlyVKpUCS9evEiXptu3b6f7fDIyRAQfHx8IggAAmDhxInLnzi2xqoyLq6sr/P392WsfH59UR6kc7fj27RsOHTqEkSNHomrVqsiRIwfatWuHwMBA3L59G+/evcPOnTsxuntnFM4rvre/Rn9Dnf7DYGtjg0ML/HB3+0rMG9IPbs5Z2D7linpicKfW2LBhfaruI1MiuYtm79696NChA65vXIqKJYqmue+nr5HI1eI3nFo2Fz9XKs/+n5CYhILte6J7rz/g7+8PR0dHvTTly5cPr1+/zvS+9u/ZvXs3OnXqBAAoWrQo7t69C3t7e4lVZWwEQUD16tVx7do1AMCyZcswcOBAiVWZH5UqVcLNmzf1bsfR0RGkUODt/q1wd3URvTdm2Tqcv30XZ1bMT7ONV+8/okjHP7B8+XL89ddfemtKBa2Mk+Qj+JUrVqBm+TI/NO4AEBUTBwDI9t2Fd7C3w5+tmmL9+nVITk7W2+i8ffsWL1++1KuNjEZ8fDxGjBjBXi9YsIAbdxNgZWWFRYsWsdcTJ07E169fJVSUcXB3d4eLi9iWJCcl4fem9dWMOwDsP3sRVUqVwK/j/JCrRRdU7jkIq4MPq+1XMHdOtKpdHSuWLzeadm1Je7bBBNy7dw89Gtf54X5EhOGLVqKOV1mUK+qp9n6jqhUxZ/MO9OzZE61atcLTp08RExODT58+ISoqSmdd3bp141ELKoSFhTGXV548ebBjxw7s3LlTWlGZCE9PT7x48QKfP39GrVq1ULVqVaklmRXpGZApfyizZcuGjh07Ijw8HAcPHkTDqhU17v8s/B1W7D0A3986YGyv33D53kN4L1gOe1tb9GzRWLRvw6oVMWb5Bp01GRrJDXxkVCTcnJ1/uN/geUtx+8lznF2p+fFI6QcLCgoyiK7z58/j/PnzBmkro/Hu3Tts3bpVahmZlgcPHuDBgwdSy8gwfPnyBbt27cKdO3eQL18+kU9dFUEgVC1VHDMH9gYAVCpZDHefv8SKvQfUDLybszMSEhKQkJAAh1TCvU2B5C4aezt7JCYnp7nPkPnLsD/0Ik4unYP8OTWHLCUkpd0Gh8PhpEaFChWYyzE1e5QnRzaULlxQ9L/SngXx6v0ntX0TkpIgk8lgZ2dneLE6IPkIPkeOHHj5/qPG94gIQ+YvQ9Dp8whZNkdtVluVVx9S2rh48SKyZ8+ukwaFQoFHjx7h6tWruHr1KiIiIuDj44Nq1arp1E5G5MaNG/j1118BAG5ubjh+/Djc3NykFZVJiY+PR7NmzfDu3TsAwMqVK9GwYUOJVZkHbdq0wf3793U+rkKFChg1ahS6du0KQRBgZWWFl+8026Pa5cvg0as3ov89evUWhXLnVNv31YePcHdz07j40pRIHkUzduxYLF+6BG+CtyCLo/hR5u+5S7D9WAiCZk9GyUL52f+zZskCRwfxBF+ToWMRb+OAc9ytYjAEQUDNmjVx+fJlAMCSJUswaNAgiVVlbnbs2IEuXboAAIoXL447d+5IPko0B3SNoqlWrRqmTJmCX375RRQt165tWzy/fwc3Ni5Vi6K7cu8hav81DFP69sCvjX7G5XsP8deshVg5xhvdmv3vh1YuV6Bo595o0qIV1q5dq/e5pYJlRNH0798f0TGx2H48RO29FXsOIComFg0GjULeVl3Z9u+J06L9Hrx4jRNXbuBvbnwMypYtW5hxL1u2LPr37y+xIk7nzp1Rt25dAMDjx4+xePFiiRVZFtWqVcPBgwdx6dIltGjRQs2I/z1oEG4/foZzt++qH1umJPbMmoR/jp9C+e794bd+GwJ8BoiMOwAcPH8Zr99/NIvBkOQjeABo3aoVXj68jyvrAmFna6vz8f1nBSLo3BW8fvOGh+4ZiJiYGJQoUYK5A44fP47GjRv/4CiOKbh+/TqqVq0KIoKrqysePXqEXLlySS1LUn40gq9evTqmTJmC5s2bp7m+RRAElCpZEmXz5sTuWRN1XgsjCAIaDRmDBBsHXLx0SadjdcQyRvAAMH7CBDx4+Rr9ZwVChx8cAMDafUewOvgwxk+YwI27AfH392fGvW3btty4mxGVK1dGnz59AADR0dGYMGGCxIrMl+rVq+PQoUO4ePGimjtGE1ZWVpgydSqCzpzH7M07dOqLiDBqyVqcuRGGyVOm6KHacJjFCB4Atm3bhm7duqFbs4ZYO95Xq5H8oh1B8F24Ev3798eyZcv4ylMD8ezZM5QpUwaJiYmws7PD3bt3ecI1M+PDhw8oUaIEoqOjIZPJcO3aNVSqVElqWZJRrVo1XL16lb3WdsSeGpMnT8a0adMw8c9umNK3+w/bUCgU8A1ciSU79yEwMBBDhw7VuU8dsZxkY0r+/fdfsrOzI8+8ucn/7z/pw6F/1JL9xJ3aRxsmjqCfyqUU+Rg5cmSmKGtmSjp06MCSM40ePVpqOZxUmDdvHvuc6tatm6lz8i9ZsoSsra3pp59+okOHDul9LQRBoBEjRhAAKlO4IC0fNYSiT+xVs0dfju2iAJ8BVLJQAbKysqIVK1YY6Ix+iGXlg1dy69YtLFiwAFu2bIGVTIbmNaoid45ssLG2xtfobzhy8SqiYmJRq1ZNjB07Dq1atTKFrEzDyZMn0ahRIwBA7ty58ejRI7Xl3BzzICkpCeXKlcPjx48BAP/++y8Lac2MyOXyH6YC1oW2bdti3759kMlkkAHI4uSIZtUrI7tbVhARPn2NxNHL15GULEfHjh3g4+OLGjVqGKz/H2A5PnhVvLy80K9fPwiCALlCgatPX+LG6w+48OQlbrx6h6iYWABAq1atERwcDA8PD8ycOVNn3z1HHblcDh8fH/Z65syZ3LibMXZ2dliwYAF7PXLkSMTFxUmoSFoMadyPHTuGffv2AUhJzXHn7l0M8fbBF9ji0rM3uPIiHFHW9hg7bjxev36Nf/7515TGXXu0Heqb6rmDiGj8+PHs0XPDhg3s/0+fPhU9kqqW4GvVqhWFh4ebUmaGY/ny5ex6VqlShbu+LABBEEQFo6dOnSq1JIsnOTlZVLazS5cu5OXlRWfOnFHb98CBA1ShQgVTumaUWF5NViVVqlRhF/d7o12iRAkCQNbW1qzwhHJzd3enjRs3ZmpfZHr58uULZc+enV3Lc+fOSS2JoyX37t1jtUodHR3p1atXUkuyaBYvXsy+B0WKFGF/58uXT21fNzc39v6BAwdMKdMyDfyHDx/YBatYsaLa+0OHDhVVZ1E18MqtRYsW9Pr1a1NJzhB4e3uz69e1a1ep5XB0hH9+hiEiIoLc3d3ZtVQdRDo4OIgGj0lJSSIvgr29vcZRvpGwTAO/adMmdsHGjBmj9v6hQ4fY+1mzZk21NJerqyutWbOGj+a14O7du2wE6OTkxH8cLZDvn8BCQ0OllmSRDBo0SKNxV27v379n+965c0ej3bl27ZoppFpGyb7vOXLkCPv7l19+UXu/Xr16bEFTfHx8qu1ER0ejb9++aN68OV69emV4oRkEIsKwYcOgUCgApBR6zp8//w+O4pgb7u7umD59Onvt7e3NSitytCMsLAzLVYp0aLp+YWFh7O87d+6ovR8dHY1mzZqlK/GZUdD2l8AUP0lyuZyNQlxcXCgpKUnjfk2bNtWpiLazszMtX76cTxpq4MCBA+w6FSxYkGJjY6WWxEknycnJVL58efZ5rlu3TmpJFoMgCNSoUaMf2pIFCxawY1SDQb7f8ubNS8+ePTOmZMsbwV+/fh2fP38GADRu3Bi2qaxmbd68uU7txsTEYODAgWjcuDGePXumt86MQlJSEnx9fdnruXPnwsnJSUJFHH2wsbHBwoUL2euxY8ciOjpaOkEWxL59+3DixIkf7qc6atc0glcSHh6OJk2asHQfUmFWBl7VPZOWEdfVwCsJCQlB+fLlsXjxYv74CmDx4sVskUzdunXRuXNniRVx9KVhw4bo0KEDgJR0BjNnzpRYkfmTmJiodWoBVReN6t+aePr0KZo0acIGrZKg7VDfmM8aSlQfkZ4/f57qfoIgUIECBXRy03y/zZo1yxSnZLa8f/+eXF1dCQDJZDK6fv261JI4BuLp06dkZ2dHAMjOzo4eP34stSSzZsKECVrbDScnJ1IoFPTt2zetj6lWrRpFR0cbWrZluWjkcjku/X96zfz588PT0zPVfWUyGerU+XGh7rR48+bNj3fKwEyYMIE9vvfp0ydTJ6rKaBQpUgTDhw8HkOKGGzFihMSKzJeHDx/q9JQTFxeH58+f4969e1ofc+XKFbRu3TrNoBCjoe0vgaF/fr7nxo0b7Bfv119//eH+qosRdN169OhBUVFRxj4ls+X69essftfV1VUU+sXJGERHR1OePHnYPX/s2DGpJZkdsbGxlDNnTp3tR1BQEK1Zs0bn41q2bEmJiYmGkm9ZI/jzKqX2atWq9cP9tdnne6pXr46LFy9i06ZNcHV11fn4jAARwdvbO2URBIBJkyZl+mIRGREXFxfMmjWLvfb19YVcLpdQkXmRmJiIRo0a4eNHzfVX0yIsLCzNCdbUOHjwIHr27MlCkk2Ctr8EhvrZSY2uXbuyX7rLly//cP/k5GSyt7fX6pczT548tGnTJh4mSSkpmZXXpXjx4oYcUXDMDIVCQdWrV2ef95IlS6SWZDb4+/un2wPQpUsXrUIqU9tWrVpliFOwzBG8o6MjKlas+MP9bWxsUKZMGa3a9vb2Ro8ePSSvcC41cXFxGDlyJHsdEBDACzZnYKysrBAYGMheT5w4UdqIDjPi+vXr6T42vSN4JSZ9ktL2l8AQPzmp8fbtW/brVq9ePa2P69u3b6q/kg0bNmR/Z82alT5+/Gi8E7AQpk6dyq5Js2bNeBqHTEL37t3Z5z548GCp5UhOTEwM5cuXj10TW1tbnUbgNjY2Oo/anZycqG3btrRlyxZDfe8sJxfNzp072YUYO3as1setW7dO7UKWL1+eTp48SUREvXv3Zv8fMGCAseRbBK9evSJHR0cCUjJx3rt3T2pJHBPx5s0bcnJyYp99WFiY1JIkZeLEicwutGrVimJiYigoKIj69OlDuXLlSrfr5fstf/78NGDAADp48CDFxcUZ+jQsx8D7+vqyi7J//36tj3v//r3oV3X58uWUnJzM3n/37h05OzsTkJI46ObNm8aQbxGoznF4e3tLLYdjYvz8/Njn37hx40z79PbixQtycHBgI/eHDx+K3lcoFJQ3b14CIMoUqetWtmxZY19jyzHwP/30E7swEREROh1brFgxZsBjYmLU3p81axZru379+pnyxg4NDWXXIHv27PTlyxepJXFMTFxcHHl6erL7IDg4WGpJkvDrr7+yazB8+HC191UHjXXq1KFXr17RsmXL6JdfftEY1KF0vaxZs4bCw8OpdOnSbMBphFG7KpZh4OPi4pgPrFSpUjof369fP3axQ0JC1N5PSEigokWLsn127dplANWWg0KhEBVQWb58udSSOBKh6gotWrQoJSQkSC3JpJw+fZqdv4eHB0VGRqrtExQUxPYZOXKk6L2YmBg6ePAghYaG0smTJ+no0aNqRvzPP/9kx589e9aYp2MZUTRXr15FcnIygPTFtqseoxpLr8Te3h7z589nr0eMGIGEhIR0KLVMNm7ciGvXrgEAypcvj759+0qsiCMVHTt2RL169QCk5ElRjbDJ6CgUCnh7e7PXM2fORNasWdX2u3DhAvu7Zs2aoveyZMmCFi1aoHbt2mjQoAGaNm0KR0dH0T6qx6i2JRna/hIY62dI1YWydu1anY9/9OgRO75ly5Ya9xEEgRo3bsz2mzFjhr6yLYKoqCjRpNGJEyeklsSRmBs3brBCFs7OzvTu3TupJZmEVatWse9BpUqVSC6Xa9zv559/Zvul59qEhYWx49u3b6+v7LSwDBdNmzZt2AW5f/++zscLgkA5cuQgIKUma2qLmcLCwljVoixZstCbN2/0lW72jB49ml3bDh06SC2HYyb079+f3Re9e/eWWo7RiYyMJA8PD3bOqZXVS0pKYpFmnp6e6epLoVCwJH65c+c25pyf+Rt4VeOcLVu2dK80Vf2RSCv8T7UcV48ePdIr2yJ4/Pgxyyhob29PT58+lVoSx0z4+PEjK3cpk8noypUrUksyKsOHD2ff+7TyXF29epXt9/vvv6e7vyZNmrB2Xrx4ke52foD5++AfP36MiIgIACm+q/SuNP2RH17J1KlT4e7uDgDYvHkzLl68mK7+LIERI0YgKSkJADB8+HAUKVJEYkUcc8HDwwOTJ08GkDLAU81NlNF4+PAhm2twcHDAnDlzUt03Lf+7LpiTH15SA69qjGvXrp3udlSPTcvAZ8+eHdOmTWOvfXx8MmThj//++w/BwcEAgDx58mDs2LESK+KYG4MGDULJkiUBpHxn/vnnH4kVGYfhw4ez1ACjRo1CoUKFUt03Ixp4SV00qiGOp06dSnc7uoRaJicnU9myZVm/mzZtSne/5sj357dx40apJXHMlEOHDolWXWpaR2LJ6Hp+hQsXJgDk4OCQaj1obfjy5Qvrt1q1aulu5weYvw++XLlyBKQsn9a32LPqYqnPnz+nue/x48fZvnny5KFv377p1bc5sWTJEnZu1atX5xk0OWnSokULdr9MmjRJajkGIykpiUqVKsXObevWrWnu//0CJ30xwYIn8/bBJycn4+HDhwCA0qVL613suUqVKuzv+/fvp7lv48aN0aZNGwDAu3fv4O/vr1ff5sLnz58xceJE9jowMDDTZ9DkpM2CBQtgY2MDAJgzZw5evXolsSLDsGzZMjx48ABAyhzd77//nub+hnLPfN+GXC5n61CkQLJv//Pnz9kCp9KlS+vdXqlSpdjfyg82LebPnw9bW1v29/Pnz/XWIDVTpkzB169fAQA9evRAjRo1JFbEMXdKliyJIUOGAAASEhIwatQoiRXpz6dPn9gkMpAy0JHJZGkeoxpwYQgDr/rdkzKYQzIDrxy9A2CTPfqg2oZq26lRrFgx+Pr6Akip7qKaJ90SuXv3LpYvXw4AcHJyyjBPJRzjM2nSJOTIkQMA8O+//+Ls2bMSK9KPSZMmISoqCgDQu3dvVK1a9YfHqD71V65cWW8NungUjIlkBl51lK06+k4vuo7gAWD8+PGsXN3u3bsREhKitw4pICL4+vqyUmDjxo1Dvnz5JFbFsRTc3NwwY8YM9trb29u0ZeUMyK1bt7Bq1SoAgLOzs9YFtR89egQgJZSyQIECeusoXry4WtuSoK2z3tAzBKpJeQyx0EKhULBVaMWLF9f6ONWc8hUqVBClG7YUgoOD2Tl4enoaO4sdJwMil8vJy8uL3UerV6+WWpLOCIJA9evXZ+cwa9YsrY6Ty+VsUWC5cuUMpid37twEgHLlymWwNlUw7yia2rVrsw8iOjraIG1WrFiRReVoW2vU0rMtZvZsmRzDcerUKXYf5cyZU2O2RXNm9+7d6cqW+ezZM6Pkj6lbty5rNyoqymDt/j/mHUWjdKPky5cPLi4uBmlT6aZRKBR4+vSpVsd8X7dywoQJbKLSEggMDGTnWr9+fXTo0EFiRRxLpV69eujUqRMA4OPHj/Dz85NYkfYkJCRg+PDh7PX8+fNhb2+v1bGPHz9mf6u6VvRFta0nT54YrF1dkMTAR0REsOK/hphgVaLrRKuS2rVrszCqz58/i1a7mjPv37/H9OnTAaT8UC1cuPCH0QIcTlrMnTuXGcbAwEBp/cc6sGDBArx48QKAOAxaG0xh4KW6jpIYeFXja4gJVk1taTvRqmT27Nkst/OSJUsknfnWlvHjxyMmJgYA0K9fP3h5eUmsiGPpeHp6soiy5ORk0ajYXHn79i2bTLW2tkZAQIBOAx1V42ssA6/6I2JKJDfw5jCCB4ACBQpgzJgxAFIWJ/j6+pp1AqarV69i/fr1AICsWbOykTyHoy9jxoxhUVgHDhzA0aNHJVaUNmPHjkVsbCwAYMCAAShXrpxOx6sa3xIlShhMl2pbUhl4SSZZR44cySYfjh49arB2Y2JiWLs1atTQ+fjY2FgqUKAAa+PAgQMG02ZIBEGgWrVqMZ0BAQFSS+JkMLZs2cLur9KlS+uVm8WYXLx4kel0d3fXuaYz0f/qOjs7Oxs0f3tsbKxe9ugHmG8UTevWrY2WL1lpoN3c3NL1Yf3zzz9MW/HixbWOxjEl27ZtYxpLlSpltl8+juUiCALVqFGD3WeBgYFSS1JDoVCIclAtXrxY5zaSkpJYIaCKFSsaXGP+/PlZvQsDY74GvkSJEgSAHB0dDZ4MSzXZ/ocPH3Q+XhAEqlOnDmtj/vz5BtWnLzExMeymAUCHDx+WWhIng3Lp0iV2n7m5udGnT5+kliRi06ZNTF/ZsmXTtYZFteRn586dDa6xQYMGWidB1BHzDJNMSkpiYX0lSpQweDIsVT+8rhOtACCTyUS5K6ZOnYqPHz8aTJ++zJ07F2/evAEAtGjRAs2bN5dYESejUr16dfTq1QsAEBkZiUmTJkms6H/ExMRg9OjR7PXChQtZ0jRdUJ1gNaT/XVObUvjhTW7gnz17xpZBGzKCRolqm7pOtCqpXLky+vTpAwCIjo7GhAkTDKJNX169eoXZs2cDAGxsbLBgwQKJFXEyOv7+/nB2dgYArFy5Erdv35ZYUQr+/v549+4dAKBt27Zo3LhxutoxVoikpjalCJU0uYE3dA6a79EnVFIVPz8/tgBrzZo1uHHjht7a9GXUqFFISEgAAAwdOtSgEUgcjiby5MmD8ePHAwAEQYCPj4/k0WXPnz/H/PnzAQC2traYN29eutsypYHPFCN4Y4VIamozvSN4AMiVKxd7JCWSvm7l2bNn8e+//wJIqampmvedwzEmPj4+KFy4MAAgJCQEQUFBkuoZOXIkEhMTAQC+vr4oVqxYutvK6Abe5JOsf/zxB5t0uH79uqGaZQiCQFmyZGH5KPQhMTGRihcvzvTu2LHDQCp1Qy6XU6VKlZiOVatWSaKDk3nZs2cPu/8KFy5M8fHxkug4efIk05ErVy69c7x4enrqFXX3IxISEsjKyooAUJUqVQzZtHlG0agm4DFWqTylMbSysiK5XK5XW/v372d6CxYsKEmmxtWrVzMNXl5eep8Th6MrgiBQw4YN2X04c+ZMk2tITk6mChUqMA3r1q3Tq734+HiSyWTGrp3Kar26uLgY8kfEPKNolBEpLi4ubPLG0OTJkwdAis/wy5cverXVsmVLNGvWDEDKJKc+/r70EBUVxXygQEp+EGtra5Nq4HBkMhkWLlzIot5mzJiB8PBwk2pYs2YNm+StUqUKi/BJL8+ePWNuV2O4Z5Qo2/727ZvJI/JMbuA/ffoEAKyCjDFQbVvZX3qRyWRYsGABM6r+/v54/fq1Xm3qgp+fH7spOnfujHr16pmsbw5HlfLly2PAgAEAgNjYWIwbN85kfX/9+lUUzWaIesPKcGMAbI7BGKi2bUrbAZjYwMvlcpaK18PDw2j9qLYdERGhd3tlypTBoEGDAADx8fEsZ42xefToEUtl7ODggDlz5pikXw4nNaZOnQo3NzcAwMaNG3H58mWT9Dtt2jSWgfb3339H7dq19W5T9ek+e/bsereXGqptmzoVuUkN/JcvX9gjkakMvL4jeCVTpkxhH9S2bdtw/vx5g7SbFsOHD2eFyUeOHAlPT0+j98nhpEWOHDkwdepU9nro0KEQBMGofd6/fx9LliwBADg6OrK1IPqiamyzZctmkDY1odp2hjbwqqNpS3HRKHF3dxdlbPT29jbqjX306FEcOHAAQEpRFNVVexyOlAwcOBClS5cGAFy6dAnbtm0zWl9EKfWG5XI5gJRMl4aomQqIR/Du7u4GaVMTqgZe3zlBXTGpgVc1tpbkolHSr18/lC9fHkBKut5NmzYZrG1VkpOT4evry17Pnj0bWbJkMUpfHI6u2NraIiAggL0ePXo0q0tgaA4dOsTSFRcsWBAjRowwWNuqxtaYI3jVH49MY+CNOYI3hosGSEkPsHDhQvZ67Nix+Pbtm8HaV7J8+XJWcKRmzZro2rWrwfvgcPShWbNmaN26NQAgPDzcYG4TVZKSkkQDnTlz5sDJyclg7XMXjYFRHU0bcwRvDBeNkoYNG6J9+/YAUkrmKSvJGIqIiAhMnjyZvVZNfMbhmBPz58+Hra0tgJQkeMqSeYZiyZIlbPVnnTp18Ouvvxq0fVON4LmLxsAYy0WjZN68ebCzswOQUgtS2wLf2jBp0iRERkYCAP744w9Uq1bNYG1zOIakePHi8Pb2BgAkJiayUn+G4OPHj2wy9/sMr4aC++ANjKkmWbNmzcpShxp6BA8ARYoUYbUqk5KSDOYXvH37NlauXAkAcHZ2NvjTAYdjaCZMmICcOXMCAHbt2oVTp04ZrN3o6GgAQJ8+fVC5cmWDtKuK0tg6OTmxQuPGIFP64I05gpfJZOwHxBgGHkjxvytXzAYFBeG///7Tqz0igo+PD4vMGT9+PGufwzFXsmbNKhqI+Pj4sHTg6eXGjRtYs2YNAMDV1RV+fn56tZcaSn+4Md0zQEpop4ODg6hPU5EhJ1mB//2AREREGCULpIuLC/z9/dlrHx8fFsqVHoKCghASEgIg5QnBx8dHX4kcjkn4448/2Aj71q1bWLt2bbrbou8yt06cOBG5cuUyiM7vUY6mjemeUaL8EcnQI3ili8bW1hZZs2Y1al9KA5+YmGi0EK4ePXowH/ndu3exatWqdLWTkJDAXD5AyuSV8hefwzF3rK2tRdFl48ePZ/NIurJr1y6cPXsWQIqPf+jQoQZQqE58fDyrrWDsEbxqHxnawKvmoTF2ZIgxI2mUWFlZsVQCQMpoIz0fYEBAAJ4/fw4AaNSoEdq2bWswjRyOKahbty66dOkCIGUgN23aNJ3biI+PF81nLViwgAUzGBpThUgqUT4lqP6wmAKTGXgiYiN4Y7tnAONH0iipWbMmunfvDiDl13nKlCk6HR8eHo4ZM2YASPnBCAgI4GGRHItkzpw57Mlz8eLFOldUmzdvHl69egUgJc6+ZcuWBteoxFQRNEqkioU3mYGPiYlhVViMOcGqxFiLnTQxa9YstgBj2bJluHv3rtbHjhs3DrGxsQCAAQMGsJWyHI6lUbBgQZZSQy6XY9iwYVof+/r1azanZW1tbfSBjqli4DX1YUo3jckMvCknWL/vw9gGPl++fBg7diwAQKFQwNfXV6uJ3cuXL2Pjxo0AUkYR6Xms5XDMiVGjRiF//vwAgMOHD+PQoUNaHTdmzBjEx8cDAAYNGsRy3RgLbuANjKlWsWrqw9gGHkjJ/FioUCEAwPHjx1misNQQBEE0gTR16lSjpizlcEyBk5OTKK31sGHDkJSUlOYx58+fZwnLsmfPrrObMz1I5YP/vm9jYzIDr3RDADBaJSdVXFxc2N9xcXFG78/R0VFU7WnYsGHMJaWJbdu24dKlSwBS8s0rCylwOJbOb7/9xvK1P3z4EEuXLk11X0EQ2GpYAJg+fbpJfOJS+uAz5Ahe1WVhipJzqv47Y8TBa6Jjx46s4tKTJ0+waNEijfvFxMSI0v8GBASwnB4cjqXzfWqBqVOnplqqbtOmTbh69SqAlIpR/fr1M4lG1TBOZQETY6LaR3pDSNODyQy8au50U0SJqJbzMnZBAiXf162cPn063r9/r7bf7NmzWT3L1q1bo2nTpibRx+GYiipVqqB3794AUuoKT5w4UW2f6OhoUXW0hQsXshQjpkTf0n/m0ofGfk3Vkeoo2hQnK8UIHgAqVqyIvn37AkgpsqtaMBsAXrx4gblz5wJIWfA1f/58k2njcEzJjBkzmKt09erVuHnzpuj9mTNn4sOHDwCA9u3bo2HDhibTpmofTDEANPUAVwkfwRsBPz8/tlJ3/fr1uHbtGntv5MiRzDfv4+Nj1GruHI6U5M6dmxXKVuZaUg62nj59yoqG2NnZieavTIGqfTDFANDUA1zWl6k6MvUJmvoDVMXDw4PldFfNrXHq1Cns2rULAJAzZ05RlXgOJyPi7e2NokWLAgBOnz6N3bt3AwBGjBjBomuGDx+OIkWKmFSXlCP4DGngTT2CN/UH+D2DBg1CyZIlAQDnzp3D9u3bRQnEZs6cCVdXV5Pr4nBMib29PRYsWMBejxgxAgcPHkRQUBAAIE+ePGwNiSmRcgSf4V00GX0ED6Q8dqrWrRw8eDBu3boFAKhcuTL++OMPk2vicKSgdevWaNKkCQDg5cuX+PPPP9l7s2bNEoU0mwo+gjcwUk6ySjGCB4BffvkFv/zyCwDx4obAwECThIpyOOaATCZDQEAAu+eVIZPVq1dneZxMjakHgHyS1cBIPYJXsmDBApGW1q1bo06dOpLp4XCkoGzZsixsUolqSLGpMfUAkE+yGhhzGMErkcr/xuGYE+Z07/MRvIHJrCP4YcOGifrft28fK2jA4WQW7t69i3Xr1on+5+3tLdngi4/gDUxmHMEfOnQIhw8fBiBequzt7a133UoOx1IgIvj6+rJ7Xlmk+8qVK9i8ebMkmvgI3sBktiiapKQkUT7spUuXwsvLC0BKUeENGzaYXBOHIwX79+/H8ePHAQCenp5Yv349e2/s2LH49u2byTXxKBoDY2o/tNQj+KVLl+Lhw4cAgNq1a+P3338X1a0cN24coqOjTa6LwzEliYmJonrDc+fORYsWLVhZynfv3omK15sKvpLVwGSmEfzHjx8xdepUAOLMevXr10enTp3YPn5+fibVxeGYmkWLFuHJkycAgHr16qFjx44AUsrzKeutzp8/H8+ePTOpLp6LxsBkppWsEydORFRUFACgd+/eqFKlCntv7ty5sLe3B5ASJvb48WOTauNwTMX79+8xffp0ACkDroULF7LvZbFixeDr6wsgxZ2pWmzbFJg6V1WGH8Fnllw0N2/exOrVqwGkFB1RFtRW4unpiZEjRwIAkpOTRY+vHE5GYvz48cy/3q9fP1SsWFHt/dy5cwMA9u7di5MnT5pMm6mzzWb4Ebwqpn4kMhXfZ8ybOHEiu4FVGT16NPLmzQsgZQLq2LFjJtXJ4Ribq1evssnUrFmzspG8Ki4uLiL/u4+PD+RyuUn08RG8gTF1RRNTV2wBgN27d+P06dMAUh5BVWuuquLs7IzZs2ez176+vkhOTjaJRg7H2Hw/0Jk8eXKqdZh79uyJqlWrAgDCwsLY06+x4T54A2PqmoSmLqobHx8v8iMuWLCA+do10bVrV9SoUQMAcO/ePaxYscLoGjkcU/Dvv//i3LlzAICSJUti0KBBqe5rZWWFwMBA9nrixIkmsQ9ZsmRhf8fExBi9P9VQUCcnJ6P3p8RkBt7UVcVNXVR3/vz5ePnyJQCgadOmaNWqVZr7f39jT5o0CREREUbVyOEYm7i4ODbHBKTUG1ZGy6RGrVq10LVrVwDA58+fWQSaMcmRIwf7+9OnT0bvT7WP1J5mjEGGHcGr9mHsEfzbt2+ZL9Ha2hoBAQFaPYZVr14dvXr1ApDiUlIWCeFwLJU5c+bgzZs3AIAWLVqwbKo/Yvbs2Wxku3TpUty7d89oGgGxkTXFwEq1jwxp4FVH0RnNwI8ZMwZxcXEAgL///htlypTR+tiZM2eyx8UVK1YgLCzMKBo5HGPz6tUrNrdkY2MjKvTxI/Lnz88KcCsUCvj6+ho1ukXVyPIRvAGwtbVlif0zkg/+woUL2LJlC+tnypQpOh2fN29eVphbEATR5BSHY0mMGjUKCQkJAIAhQ4awimbaMmLECBQsWBAAcOzYMRw8eNDgGpWY2kWjHMHb2dnB2dnZ6P0pMWmYpHIUn1F88IIgwNvbm72ePn16un5MfH19UbhwYQDAyZMnERwcbDCNHI4pOHv2LP79918AKcZz0qRJOrfh6OiIuXPnste+vr6sbquhcXZ2ZkEQpnDRKH9EPDw8MmYUDfC/kfSXL1+MPko1hYtm8+bNuHLlCgCgXLly+Ouvv9LVjoODA+bPn89eDx8+nI2EOBxzR6FQiAY6M2bMSHdocufOnVG3bl0AwJMnT7Bo0SJDSFRDJpMxV4mxR/BExH5EVJ8cTIEkBj45ORmxsbFG7Uv5lGBraysKiTIU3759Yz5DICXtgI2NTbrba9euHRo2bAgAePbsmSgxGYdjzmzYsAE3btwAAHh5eaFPnz7pbks1dxMATJs2DR8+fDCIzu9RGtuIiAijDjijo6PZOhdT+t8BiVw0gPH98Mr23d3djfJI5O/vj/fv3wNIMc6NGjXSqz2ZTCYqYTZjxgy8e/dOb50cjjGJiorCuHHj2GtD1BuuVKkS+vbtCyBlIDVhwgS92ksNpbGVy+Usd5QxkGqCFZBoBA8Y3w+vNPDGcM88e/aMuVTs7Owwb948g7Rbvnx59O/fH0DK4gvVLw6HY474+fmxItqdOnVCvXr1DNauq6srAGDt2rW4fv26QdpVxVSRNKo+/kzhogGMO4JPTk5mK8eMYeBHjBjBJn+GDRuGokWLGqztadOmMf/lhg0bmI+fwzE3Hj9+zBbr2dvbiyZI9SVnzpxsopaI4O3tbXA3iqkiaTLlCN6YBl41D42hDfyJEyewd+9eAEDu3LkNPsrOkSOHaCXf0KFDedgkxywZPnw48y2PHDkSnp6eBm1/yJAhKF68OAAgNDQUO3bsMGj7plrspGrgM/QI3lQ+eGOFSMrlcvj4+LDX/v7+LLbfkAwcOBClS5cGAFy8eBHbtm0zeB8cjj4cPXoU+/fvBwDky5dPFHBgKOzs7BAQEMBejxw5ki0oNARSuGgyzQjemD54Y4VIrl69Gnfu3AEAVK1aFT179jRY26rY2tqKbuzRo0cbPeqIw9GW5ORkVqwDSEkzYIxINSAl3UHz5s0BAK9fvzbYfBfAXTQGx1QuGmOsYv3y5QsmTpzIXi9atMioeZ2bNWvGEpa9fftWlF6Yw5GS5cuX4/79+wCAGjVqsERhxkAmk2HBggUsMmfWrFl4/fq1Qdo2lYsm00yyWrKLZurUqfj8+TMAoFu3bqhZs6ZB2k2L+fPnw9bWFkBKqb8XL14YvU8OJy0iIiJESfFUY9aNRenSpTF48GAAKWm5R48ebZB2TeWiyZQjeKWxNAaqbRvCwN+7dw9Lly4FkJLLedasWXq3qQ0lSpRgKwQTEhIwatQok/TL4aTG5MmTWRBDr169UL16dZP1mz17dgDA9u3bERoaqnebUrhoTFGbQhWTGvjcuXMzt8bz58+N1o9q2wUKFNCrLSKCr68vFAoFgJTMkfnz59erTV2YMGECcubMCQDYuXMnqxjF4ZiasLAwVpjG2dlZVG7P2Li7u8PPz4+99vHx0bsSU7Zs2djThylcNNmyZdNrtXu6ICJtN4NQpEgRAkDOzs4kCIKhmhXRokULAkAA6O3bt3q1tX//ftZWwYIFKS4uzkAqtWfNmjVMQ8WKFUkul5tcAydzIwgCNWjQgN2H/v7+Jtcgl8upQoUKTMO6dev0btPDw4MAUP78+Q2gUB1BEMjJyYkAUMmSJQ3ZtFZ22+QGvnnz5uwDevfunaGaFVG8eHECQFmyZNHrRyQxMZGKFSvG9O7YscOAKrVHLpdTpUqVmI5Vq1ZJooOTedmzZw+7/woXLkzx8fGS6Dh58iTTkStXLoqKitKrvRo1arD2YmJiDKTyf7x+/Zq137JlS0M2rZXdNqmLBgBbuAAAjx49Mnj7ycnJePbsGetLnwmgRYsW4cmTJwCAn3/+GZ06dTKIRl2xtrYWlfcbP368SQqXczhAyvyPar3h+fPnw8HBQRItDRo0QIcOHQAAHz58wIwZM/Rqr1SpUuxvY9ijBw8eaOzLVEhq4B8/fmzw9l+8eMH85ap96cqHDx8wbdo0AOoZ7qSgbt266NKlC4CUSZvp06dLpoWTuVi4cCEbNDVs2BDt2rWTVM/cuXNZLveAgAC97IhqUZKHDx/qre17VNvUtQCKIchwBl61TX0M/Pjx41k+m759+6JixYr6StObOXPmsJHTokWLjHJDcjiqhIeHs8lNKysrLFy4UNKBDgAUKVIEw4cPB5DyxK76dKErqqNq1dG2och0I/gSJUqwv83VwF+/fh3r1q0DALi6uopm76WkYMGCLAZYLpezm5zDMRbjxo1jq6gHDBiA8uXLS6wohbFjxyJPnjwAgH379uH48ePpakd1VG1sAy/FCN7kk6zJyclka2tLAKhcuXKGapbx999/s0mNc+fO6Xy8IAhUp04d1sb8+fMNrlEfYmNjKX/+/EzfoUOHpJbEyaBcunSJ3Wdubm706dMnqSWJ2LhxI9NXpkwZSk5O1rmNxMREsra2ZhFqhqZAgQIEgNzd3Q0dNWieUTRERCVLliQA5ODgQAqFwpBNU5MmTdiH/vHjR52P/+eff9jxJUqUoMTERIPqMwTbtm1jGkuWLElJSUlSS+JkMARBEEWYBAYGSi1JDYVCQdWrV2caFy9enK52lFF3jo6OBrVHMTExTFuNGjUM1u7/Y55RNMD/3DQJCQl4+/atQdtWumiyZs2qc96HuLg4jBw5kr0OCAiAnZ2dQfUZgt9++w21a9cGkDKJo1xly+EYim3btuHixYsAUlIFDBw4UGJF6lhZWYmiyyZNmpSuFfJK33h8fDzevHljMH2qUTlS+N8BCXzwgPEmWhMTE/Hy5UvWh66TQXPnzmWJjJo3b44WLVoYTJsh+T6qZ8qUKUYvHMzJPMTExIjSYgQEBLCcSOZGjRo10KNHDwApSQZV8+Roi7EmWqWeYAXMwMAbMvb06dOnrDiGrhOsr1+/ZhkbbWxssGDBAoPpMgZVqlRB7969AaTUxVRWv+Fw9GX27NkIDw8HALRu3RrNmjWTWFHa+Pv7s3TFK1asYCm9tcVYoZJSh0gCZmDgDTmCV21LNVpHG0aPHo34+HgAwODBg1nBDXNmxowZrODIqlWrcOvWLYkVcSydFy9esNJ7tra2rPawOZMvXz6MHTsWAKBQKODj46NTFTQ+gjcwxgqVTG+IZGhoKLZv3w4gJcOcpYyGc+fOzSrOC4Kg843N4XzPqFGjkJiYCADw9vbWay2JKRk2bBgrGXjixAns27dP62ONPYK3trZGkSJFDNauTmg7G2vI6V+FQkEODg4EgEqVKmWwdv/66y82a33p0iWttVSuXJkdt2LFCoPpMQUJCQlUtGhRpn/Xrl1SS+JYKKdOnWL3Uc6cOSkyMlJqSTqxa9cupr9IkSKUkJCg9bHZs2cnAJQvXz6DaFEoFOTo6Mii8YyA+YZJEhGVK1eOAJCtra3BsiOqZrv78uWLVsesXbuWHVOhQgWLzNQYHBzMzsHT01OyRFAcy0Uul5OXlxe7j1avXi21JJ0RBIHq16/PzmHWrFlaH1urVi12XHR0tN5aXrx4wdpr3bq13u1pwHzDJIH/uVCSk5NZ5Iu+KCdss2fPrlWhj+joaIwbN469XrhwISsNZkm0bt0aTZo0AZDiQzX3CWKO+bF27Vo2h1O5cmU2gW9JyGQyLFy4kNWc8PPzw/v377U61tBJx1RdPVL53wGJfPCA2A9viAsaGxvLYuq1nWCdMWMGPnz4AADo2LEjGjRooLcOKZDJZAgICGA/TjNnzjT4+gJOxiUyMhLjx49nrwMDAy1yoAMAXl5e6NevH4CUcE/VAVxaGHqi1RwmWAEJDbxqlMr169f1bu/GjRsa206Nx48fIyAgAABgb2/PIgcslbJly7LFKLGxsSyqgMP5EdOmTWNVh7p06YI6depIrEg/pk+fjqxZswIA1q9fjytXrvzwGENPtJpDiCQgoYGvUaMG+1u5Yk4fLly4oLHt1BgxYgSSk5PZ34ULF9Zbg9RMnTqV1XzcvHmzQa4rJ2Pz8OFDLF68GADg4OCAOXPmSKxIfzw8PDBlyhT22tvb+4fRZaqj7Pv37+utwVxG8JJNsgqCQNmyZSMAlCNHDr0T8bRv355NaoSFhaW577Fjx9i+efLkoW/fvunVtzmxZMkSdm7Vq1c3eK4fTsZCtbzl5MmTpZZjMJKSkqhUqVLs3LZu3frD/ZWRfUWKFNGrb4VCQW5ubiwayUiYdxQNkfjmevz4cbrbEQSBcufOTQDI1dU1TaOWnJxMZcqUYf1u2rQp3f2aI8nJyVS2bNkMe34cw3Hw4EF2n+TPn59iY2OllmRQDh8+LDq/H5Xkq1u3rkHKid69e5e1065du3S38wPMO4oGAGrWrMn+VnWx6MqrV6/YbPlPP/3EZtE1sWLFCty7d4/t261bt3T3a47Y2Nhg4cKF7PXo0aMRExMjnSCOWZKUlIRhw4ax13PnzoWTk5OEigyPaj6pN2/e/ND9VKtWLfa3Pvbo/PnzGtuUggxh4FWPVW3zez5//ixapRoYGJjmj4Gl0rhxY7Rt2xYA8O7dO/j7+0usiGNuLF26lE0E1q5dm5WDzGgsWLAANjY2AFIqoqUVkq1qjM+dO5fuPlWPldrAS+qiiY6OJplMpney/aFDh7JHosOHD6e636BBg9h+PXv2THd/lsDjx4/Jzs6OAJC9vT09ffpUakkcM+Hjx4+UNWtWAkAymYyuXr0qtSSjMmzYMPa9//XXX1Pd7+PHj2y/mjVrpru/EiVKEACys7Mz5qJD8/fBExGVL1+eAJCVlVW6JzurVav2wxWsYWFhZGVlRQAoS5Ys9PbtW31kWwSjR49m16VDhw5Sy+GYCf3792f3xZ9//im1HKPz9etX8vDwYOd8+vTpVPdVFv9Ir3H+9OmTQX4ktMD8ffDA/1wqgiBoFa/6PfHx8SwGvnTp0hpXsBIRfHx8IAgCgJQ6k3nz5tVDtWUwfvx45M6dGwCwZ88ehISESKyIIzU3b97EqlWrAAAuLi6YMWOGxIqMj5ubm+g8fXx8oFAoNO6rLKSTlJSUrvU5qu5iyd0zkNgHD4h95umJ27527RrkcrlaW6rs27cPJ06cAAB4enqKJpcyMi4uLpg5cyZ77ePjw64VJ/OhHOjQ/8eET5w4kQ0AMjp//vknvLy8AKQsily/fr3G/fT1w5uV/x2Q3kXz4MGDVJPyJCYm0n///UeHDh2iy5cvU3BwsFqGuzlz5qSZICkhIYGKFCnC9tm9e7exTsUsUSgUVKVKFXb+y5cvl1oSRyJ27tzJ7oOiRYvqlG0xI6CaLdPDw0Njtsw7d+7oFeJoqFBLLbAMH/z3C54+fvxIGzdupE6dOpGLiwu7WMrJWBsbG2rYsCEFBATQ48ePRQuc7ty5o9b+rFmz2PsNGjQwdGVzi+DcuXPsGmTPnl3rTJucjENcXBx5enqy+yA4OFhqSZLQuXNndg2GDx+u9r5CoWAT0O7u7jrZi8TERIMtltICyzHwqr96SkOu7WZtbU0AyMnJiRITE0Vth4eHk7OzM5vEvXXrlrFOw+zp2rUru2be3t5Sy+GYGD8/P/b5N2nSJFMOdIiInj9/zoywjY0NPXz4kL2nUCho06ZNZG9vz67VtWvXtG774sWL7Lju3bsbQ74q5mvgExMT6fjx4zR06FAqXLiwTgY9rS1btmzUrVs3+ueffygyMpJ69+7N3hswYIAhT8HieP36NTk5ObEb+969e1JL4piIN2/esM/e2tpa45NuZmLixInMLrRq1YqIUozzTz/9pGZTJk2apHW7CxYsYMctW7bMWPKVmJeBFwSB9uzZo+Z60XZTPjbpOrIHQG5ubvTx40d9T8HimTp1KrsmzZo1y7SjuMxG9+7d2ec+ZMgQqeVITkxMDOXLl49dk0aNGqVqR1q2bKl1u506dWLHmcBbYF4GXrWclq6bnZ2dyI2j6/bzzz/rKz9DEBsbSwULFmTX5cCBA1JL4hiZCxcuiJ5wP3/+LLUks2DdunVa2Y6CBQtq1Z4gCJQ3b14CQC4uLqaoDGdecfDK5cLpoXTp0izEKT1UqlQp3cdmJJycnER57319fZGUlCShIo4xEQQB3t7e7PW0adNYOunMChFhz549mDZtmlb7v3r1CpGRkT/c7+XLlwgPDweQkq7cXAqmmMzAt2nTBoMGDUrXseXKlUO5cuXSdWypUqXg5+eXrmMzIp07d0bdunUBpBQ9UeYC52Q8tmzZgsuXLwNIKQjTv39/iRVJy+3bt9GoUSN07NgRL1680Pq4S5cu/XAf1QRjysVS5oDJDLxMJsOiRYvQo0cPnY8tX748ypcvr/NxLi4uOH/+PJydnXU+NqMik8kQGBgImUwGIGVU9/HjR4lVcQzNt2/fMGbMGPY6MDBQr6doSyYhIQF///03KlWqlK7V3KrGW5t9zGKB0/9j0pWsVlZWWLduHdq1a6fTceXKlUPZsmV17u/IkSNaFd/ObFSqVAl9+vQBkFJ4fMKECRIr4hgaf39/vHv3DgDQrl07NGrUSGJF0jF37lwsX76cpSrRFV0MvEwmw08//ZSufoyCts56Q84OJCQkUOPGjbWeJH358iURkWiC8Edbv379DCk5w/H+/XtydXUlIGXtwfXr16WWxDEQT58+ZZlE7ezs6MmTJ1JLkhRtJ1RT25ydnSkpKSnV9qOiolgiwwoVKpjqtMxrklUVe3t7BAUFpZm7XYmrqysKFCgAAFr74bNly2bxRbSNTa5cuVhufCLSqm4lxzIYOXIkmzz39fVF0aJFJVYkLX/88Qc2btwINze3dB0fExOTZr2KEydOsKeDn3/+OV19GAvJko1lyZIFhw4d+mF0TLly5Zi/WFs//OzZs1lVdU7qDBkyBMWLFwcAnD17Fjt37pRYEUdfTp48iT179gAAcufOjfHjx0usSHpkMhl69uyJe/fusUI4unLkyBGt3vvll1/S1b7R0Haob6znjA8fPrAE+Zq2v/76i+27efPmHz5OVaxY0RQxqBmG/fv3i2J+4+LipJbESSfJycmsvgIAWr9+vdSSzA5BEGjbtm2UPXt2ndw0lSpVSrU9pevY3t7+h3VfDYh5LXRKi5cvX1KBAgU0XtjFixez/W7evPnDDyKtZP4cdQRBoGbNmrHrN23aNKklcdLJsmXL2OdYtWrVNIvPZ3bev38vWnma2qacywA0Z4e8d+8ee79JkyamPAXLMfBERA8fPqScOXOqXeBTp06xfRISEkQpCABxcrK0ynFxUufevXvsujo6OtKrV6+klsTRkS9fvohGpefOnZNakkWwc+dOUbWn7zdlYjIAtHHjRrXj58+fz96fP3++KaVbloEnIrp16xaL7FBuERERon1y5Mghel9pmBwcHOjFixemkJkh8fb2Zte0a9euUsvh6Aj//NLPp0+f6Pfff9do4FUHkL///rvasU2aNGHvmziBn+UZeKKU3BnKkCN7e3u198uWLcsuaMmSJdnfumR946jDR4CWy927d0Vps1+/fi21JIskKCiIcufOrWbklckRs2fPLprfi4mJYS6cggULmjp5n2UaeCKiHTt2kJeXF23evFntvdu3b1OVKlWoS5cu7APIly+fKSc3Mizch2t5CIJATZs25XMoBuLz58+i7JtASqU55d+XLl1i+x48eFBjMIiJsFwDT0QUERFBc+fOpcaNGlHlSpWoQvnyVO/nn2nYsGF0584dKlWqFLu4W7duNbW8DAmPwrA8eBSUcVi+fDnlzJmTOnbsSKtXr2bXuEjhwuRVoQJV9PKiAgXys//v2bPH1BK1stsyIoKWaL2jPty6dQsBAQH4559/QIKAZj9VRu7s2WBjbY0v0d/w39Wb+BwZBSuZDAIRatWqhdDQUBYrry9yuTzT5uwAUuKolcvac+XKhUePHsHV1VViVRxNJCUloVy5cnj8+DEA4N9//8Wvv/4qsaqMRUhICGb5++P48eNwcnDALzWrIoe7G4gIH798xeELV5CYLEe7du0watQo1KhRw1TStDN42v4SmOIn6Z9//iE7OzvyzJubZg3qQx8O/UPChSOiLe7UPto4aQRVLV2cgJTSWIZwJYSEhFD9+vXJysqKpkyZYoCzsVw6dOjARiajR4+WWg4nFebNm8c+p7p16/ICLgZEEASaOXMmASCv4kVpxeihFH1ir5o9+nJsFy30HUClPAuSlZUVrVixwlQSLWsEv23bNnTr1g3dmzfCmnE+sLO1/eExi3YEwXfhSvTv3x/Lli1L1yj+1KlTmDp1Kk6dOsX+V7BgQbx8+VLntjIKz549Q5kyZZCYmAg7Ozvcu3cv0y93Nzc+fPiAEiVKIDo6GjKZDNeuXeN1DwzI5MmTMW3aNEzq0w2T+3T/oW1RKBTwDVyJJTv3ITAwEEOHDjW2RMsZwV+4cIFsbW2pV4vGpDh/mP06Lh05mMoX9SQXJydycXKiGuVK0cEF00W/oKvH+hAAWrhwoU59Kkfs0BAalTdvXiOdqeUwduxYdj3atWsntRzOd/Tt25d9PjyxnmHZunUrAaCZA3uLbM2kPt3UbEWubO7sfcX5wzTs944kk8no4MGDxpZpOSP41q1a4eXDe7iybpFo5L7/7EVYW1uhWP68AICNh/7DvK27cH3jEpQt4sn26z8rEEHnruD1mzewt7dPs69Tp05hypQpOH36dKr75M2bF2/fvtXvpCycb9++oWTJkizl7PHjx9G4cWOJVXEA4Pr166hatSqICK6urnj8+DFy5swptawMgSAIKFWyJMrmzYndsyaKRu5T1mzG7pBQHF/kz/5nbWUFD3c30fGNhoxBgo0DLmpRKEQPtBrBS5ZsTMmLFy9w8NAhDOncRs0t07puDbSoVR0lCuZHiYL5MWPAH3B2dMDFOw9E+/n+1gGfIiKwa9euVPs5deoU6tevjwYNGqRp3DkpuLi4YNasWey1j48P5HK5hIo4QMoTt2rmz0mTJnHjbkD+++8/PH7yBMO6dtDolrGxtkbu7NnYpmrcgZSaFz5d2uPS5cu4du2aiVSnjuQGfuXKlXB1zoLfmzRIcz+FQoF/jp9CbEIiapYvLXqvlGcBNKpWCcuWLlU7jhv29NO9e3dUr14dAHD37l2sXLlSYkWcnTt3IjQ0FABQvHhxDBkyRGJFGYtlS5eiQvEiqF1Bc4Ghx6/fIl/rrijSoRd+n+iPZ2/fqe3TslZ1FMidE8uWLTO23B8iuYumdKlSqFOqCFaN8db4ftiT56j1ly8SkpLg7OiIrVNHo0Wt6mr7bT16Ej2mzMHHjx/h4eGB4OBgzJw5k9Wk1IVcuXKxL1Fm58aNGyz0ztXVFf/99x+vkiUR8fHxaN68OSvuvGrVKjRokPbAKDNw//59+Pv7w9nZGVWrVkXVqlVRunRp2GoRqKGKQqFAmTJlMHdwX/j+3kHt/cMXriAuIRElCuTDhy9fMWPDdjx4+QZ3tq1E9qziUOIJKzdgRfBRfP7yRa9zSwOtXDSSB3xHRESgUO7UY0dLFsqPGxuXITImBrtDQvHH9Pk4tWwOyhQuJNqvYK6Ux9TPnz9j0KBBeuU2//DhA8uTzvkf0dHRbETPkZ6//vpLaglmx/Hjx/Vuo1AezS6vX2pWY3+XR2HULF8GxTr1xsZDxzHs946ifQvmyomvkZEQBAFWVtI5SiR30SQmJcI+jV9aO1tbFCuQF1VLl4D/33/Cq1hhBP4bpLafg11KGwkJCekatXM4HA6ANO2RKlkcHVC+qCcevw5Xe8/Bzg5ExCprSYXkI3i3rG6IjInRen8iICk5We3/kTGxAABvb2+0aNECu3fvxsePH9OlydHRER07dvzxjpmIsLAw3Lp1CwCQJ0+eTF3EWQpCQ0Px4sULAECpUqVQtWpVaQWZEeHh4Th58qTOx7m4uMDDwwMuLi4oXLgwHBwc8M8//zBb8iMSk5Jw/8Vr1PFSLyUaGRMDBwcHODg46KzLkEhu4MuUKYOQa7c1vjdu+Xr8UrMaCuTKgW+x8fjnv9M4deM2Dgf4qe174upNWFtZ4cyZMzhz5gwAwMnJCY6Ojvj8+bNOmtzd3bF582bdTyYDEx8fjzJlyuDFixd49+4dOnfujDZt2kgtK1Nw7tw5bNmyBQCQPXt2nD9/ns+DqBAdHQ13d3dWF1Vbvn37hm/fvgEA7ty5g/fv3+P8uXM4efUmujVrqLb/iEWr0brOTyiYOyc+fo3EjPXbER0bh14t1MOHT169idKlSqXvhAyI5C6a/gMG4ELYPdx89FTtvQ9fvqLn1Dko1aUfGg8dg8t3H+BwgB+aVK8s2i8hMQlr9h2B/Xe/lnFxcTobd45mHB0dMW/ePPZ62LBhSExMlFBR5kAQBHh7/y8Awc/Pjxv373B1dUWFChX0akOhUCAmJgb9BwzA9uOn8TX6m9o+bz9FoOvkWSjVpS86jpkOO1sbXFgTgEJ5con2e/X+Iw6cu4wBAwfqpckQSB5FI5fL4VmoEFpU88LKVCJpfsSWIyfQc+pc3L9/H0BKgqCQkBCcOnUKnz590rk9vtBJM0QkCjedPXs2Ro0aJbGqjM369evx559/AgAqVKiA69evw9raWmJV5sfQoUOxePHidB1rZWWFKVOmYOLEifjw4QMKFCiAWQN7a4yk0YYJKzdg8e4DCA9/B2dn53S1oQWWsdDJxsYG/QcMwKbDJ3D+9j2dj//4JRKT12xBk8aNUapUKZQqVQoDBw7Ejh078OHDB4SFhWHRokVo3749H/noiUwmw8KFC1lUgJ+fH96/fy+xqoxLdHQ0xo4dy14vXLiQG/dU8PLyStdxuXLlwvnz5zFx4kT2unPnzpi9ZSeeh+t+b995+gJLdu3HH3/0NqZx1xrJR/AAkJiYiKZNmuDO7Vs4unAGqpTSLkTx09dINPUehwcv3yD03LkfTjwJgoAbN25g3759CAoKwu3bmn3/MpkMPXv2RLt27dCkSRNkyZJF53PKyAwYMIAtevrzzz+xdu1aiRVlTEaPHo05c+YAADp06IDdu3dLrMi8ePnyJYKDg7F3716cOXNGZx+8l5cX9u3bh4IFC4r+/+nTJ9SsUQPW8mQcXzQTBXJ5aNXew5ev0cR7HLLnyoMzZ88aO822ViN4szDwAPDlyxf80rw57t65g3lD+qLHL43glMoMtCAIOHrpGgbPW4pXHz5CoRBQtmxZhISEwMNDuw8DAJ4/f459+/Zh48aNuHHjhsZ9HBwc0KRJE7Rt2xatW7fmy8KR8gUoXrw4oqKiIJPJcPnyZR7VYWCePHmCsmXLIikpCfb29rh37x6KFCkitSxJISLcvXsXe/fuRVBQEK5fv57uttq1a4fNmzdrHGULgoBnz56hcaNGSI6PQ6DvALStWxM2NpqfnhKTkrDz5Fn4LFyJXHny4vh//yFfvnzp1qYllpNNUklMTAz9/ttvJJPJyM3Fhby7tKfL6xbR6+At9O7gdrq7fRXNHtSHCufLQwCoQvnylDdvXpbZzcvLiz5//pyuvj9//kwTJkyg0qVLk6OjY6oFeGvVqkVz5syhhw8fGvjsLYuAgAB2XWrVqsVzkRuYtm3bsus7btw4qeVIhkKhoNDQUBoxYgQVLVpU4/cSABUrVkxUrzmtbdy4cWo1JMLDw2nWrFnk7u7OSvC9e/eO6terl1IWNKcHTenbg25vWUHhB7bR2/1b6camZTSmZxfycHcjANSqZUv68uWLqS6N5Zbse/r0KY0aNYqyZ8um9uHY2dlRjx496MKFCyQIAj158oTy5cvH3q9SpQp9/fpVr/7j4+Pp4MGD9Ndff2kswqvcypQpQ3PnzqUPHz4Y5sQtiKSkJFHR823btkktKcNw7Ngxdl3z5MlD3759k1qSSZHL5XT06FHq168f5cqVK9XvX5UqVcjPz4/u3LlDgiDQmjVr0jTsdnZ2tGnTJtZPbGwsbdu2jZo3b05WVlaiffPkycP2u3HjBv3111/k5OSk1qarqwsNHTqU7t27Z+rLZLkGXkl8fDydO3eODh48SEFBQXT69Gn69OmT2n4PHz4UGeIaNWpQVFSUQTQoFAq6ePEijR07lsqUKaPxxrGxsaEOHTrQwYMHRVXXMzqHDh1i1yB//vwUGxsrtSSLJzk5WXSfqRqkjM6bN29o2rRpVLBgQY3fM2tra2rYsCEtWrSIXr58qXb8gwcPUjXuOXPmpPPnz5NCoaBTp07Rn3/+SS4uLqnu37dvX7X2IyMj6ezZs7Rv3z7av38/hYaGSvnja/kGXhfu3r1LHh4e7AOqU6eOUS7+o0ePaO7cuVSrVi2NN0b+/PlpwoQJ9OzZM4P3bY60aNGCnfvkyZOllmPxLF68mF3P6tWrG6QcpTkjl8vpwIED1KZNG7VRNABydHSkdu3a0caNGykiIiLNtgRBENkA5VahQgU6efIkTZgwgQoVKqSVG+fatWsmugLpJnMZeCKiW7duUTYVt06DBg2MOqp89OgRjRkzJlU3TqNGjWjbtm0UHx9vNA1S8+DBA7KxsSEA5ODgoHFkxdGOiIgI5gMGQBcuXJBaktF49eoVTZkyhQoUKKD2vZHJZNSyZUvatWuXzt/f9u3bi9oqX748Va1aVSujrtzy5ctnCXNKmc/AExFdu3aN3Nzc2IdVv359g7lrUiM5OZmCg4OpTZs2ZG1trXbDuLu705AhQ+jmzZtG1SEVw4YNY+fapUsXqeVYLIMHD2bXsUePHlLLMTjJycm0b98+atWqlcbRer58+Wjy5Ml6DRI2bNjA2tPUhzZb//79DXjWRiNzGngiokuXLon8a1WqVKGPHz+apO/w8HDy9/enYsWKabx5qlatSsuXL6fIyEiT6DEFX79+pRw5crBzPHPmjNSSLI6wsDA2OMiSJQu9efNGakkG4+XLlzRp0iRRMISqEW7dujXt37+fkpOT9e5LoVDQb7/9li7DrtwOHDhggLM2OpnXwBOlGHlVd03JkiVN6j4QBIFOnTpFPXr0IAcHB42+xZ49e9KZM2cs4XHwh6xcuZKdW6VKlTLVZLO+CIJAjRo1YtdvxowZUkvSm+TkZAoKCqIWLVqQTCZTu/8LFChAU6dOpdevXxu879DQUI1P0tpsjo6OFBcXZ3BNRiBzG3iilIlX1VFD/vz56f79+ybX8fXrV1q2bBlVqVJF401Vvnx52rp1q0FGMFIhl8vJy8uLndOaNWuklmQxBAUFsevm6elp0XM2Hz58oIkTJ4rWp6iO1tu0aUMHDhww+gBgz549ZGdnp7OBb9OmjVF1GRBu4ImIXrx4QcWLF2cfYI4cOejq1auS6blx4wYNHjxYNE+g3IoUKUIrVqyw2C/4qVOn2LnkzJkzQ7mhjEVCQoJoAc+uXbuklpQu3r59Sz4+PhoXCRYsWJCmTZtmcrfTsWPHNMaup7WtXr3apBr1gBt4Je/fv6eKFSuyD9HFxYVCQkIk1RQXF0dbt26lGjVqqN1kefLkoblz51J0dLSkGtND586d2XmMGDFCajlmz+zZs9n1ql+/vsW5616+fEl///032dvbi+5ha2trateuHR06dEhSd11oaCi5urpqbeDDw8Ml06oj3MCrEhkZSXXr1mUfpL29PQUFBUktiwRBoJCQEGratKnazebu7k6TJk36YfyvOfH8+XP2Zbe1taVHjx5JLclseffuHTk7OzP3hSVFWT19+pT69etHtra2onvWwcGBvL29jeJbTw/Pnz/XGIqpaatWrZrUcnWBG/jviY2NpZYtW4pGGRs2bJBaFuPKlSvUsWNHtUmpLFmykK+vr8VEVkyYMIFpb926tdRyzJbevXuz6zRgwACp5WjFw4cPqVevXmqTmFmyZKGRI0fS+/fvpZbICAsLozx58oi+72kZ+GnTpkktWRe4gddEUlISdevWTfTBBgQESC1LxP379+mPP/5gC4iUm62tLfXt25ceP34stcQ0iYmJEU1uHzlyRGpJZseVK1fY9cmaNavJwnjTy507d+j3339Xiy13dXWl8ePHa0whIiXnzp0TzXOVLFmSQkND00xYduPGDall6wI38KmhUChoyJAhog93woQJZuf/fPHiBQ0ZMkQtzNLKyoq6dOli1o/0W7ZsYXpLly5NSUlJUksyGwRBEKW6MLcBhio3btygjh07anQfTp06Ve/Efsbg4MGDosneatWqsR+g8PBwjVkn8+fPb3bf/x/ADXxaCIJAkydPFn3If//9t1nm/vjw4QONGzdO42RRixYtKDQ0VGqJagiCQDVr1mQ6AwMDpZZkNmzbto1dl1KlSpnlj9/ly5epdevWavdbjhw5yN/f3+irw9PLli1bRE++jRs3VgtWiIiIoGrVqonOy1JcZCpwA68NgYGBog/6t99+o8TERKllaSQyMpL8/f01JlRq3rw53b17V2qJIi5fvsz0ubm5md1jvBTExMRQ/vz52XU5fPiw1JJEXLp0iZo3b652f+XOnZvmz59PMTExUktMlYULF4o0d+7cmRISEjTuGx0dTfX+P9c7ADpx4oSJ1eoNN/DasnnzZtEEzC+//GLWqW/j4uJoyZIlamlVra2tadCgQWZlSHv16iV6QsrsTJo0iV2Pli1bSi2HER4eTj179tTouli8eLFZr+4UBIHGjx+vNiL/UXhmXFwczZ8/36wCLXSAG3hd2Ldvn8jXXbVqVbMJ9UqNpKQk2rBhg5qhd3Nzo4CAALN4EgkPDxeFAt6+fVtqSZLx4sULdo/Z2NiYRVWwhIQEmj17NvuMlJunpyetXLky1RGwuSCXy6l///4i7ZMmTbI0f3p64AZeV06fPi3yc+fMmZPOnj0rtawfEhcXR35+fpQlSxbRjV68eHHat2+f5De7v78/09SgQQPJ9UhFly5d2HUYNmyY1HLo4MGDolXeysnTxYsXm+W8wPfExsaqTQAvWrRIalmmghv49HDr1i3y9PRkN4yNjQ0tW7bMIozS27dvqXfv3mpx9I0bN5Z05BwfH09FihRhevbs2SOZFqk4c+YMO38PDw9Jo08ePXokWg8CpORgHzBggFm599LiyZMnVKFCBdH3NJOVjeQGPr1ERESIsvsBKSW8zP1xVcnVq1dFq3aV7pEBAwZIFm+9Z88epqVw4cIWm28nPcjlcqpUqRI7/1WrVkmiIzo6mkaPHq22+rROnTp0/fp1STSlh0OHDoli3J2dnc1ustoEcAOvD8nJyTR8+HDRF6FGjRr09u1bqaVphSAItHPnTtHTCJCyMGXu3Lkm/7ESBIEaNmzIdMycOdOk/UvJ6tWr2XlXrFjR5LlZBEGgzZs3i1Z1AikFNrZt22YRT6dEKetXpk2bJnpCLVmypBQFr80BbuANwZYtW0STr7lz56bz589LLUtr4uPjadasWWqTaEWLFqW9e/ea9Mt9+/ZtthIyS5YsFvNjqQ+RkZGisNbTp0+btP8rV66I1iMAIDs7Oxo/fryUBaN1JjIyUi0uv127dmYbj28CuIE3FNeuXRNFqtja2lpSWlEiSkls1bdvXzX/fP369U26RPvvv/9mfffq1ctk/UrFiBEjRHHZpuLDhw8aP++2bdvSkydPTKbDENy5c0c0GSyTyWjmzJlmuSjRhHADb0g+fvxI9evXV4u1NYdQRF24ceOG2nnIZDIaPHiwSRaxfF9Y+tKlS0bvUyoePnzI/N0ODg70/Plzo/eZlJRECxcupKxZs4o+45IlS1pkTqB///1XFB2WLVs2Onr0qNSyzAFu4A1NUlISDR06VPTFqV27Nr17905qaTohCALt3btXLfFSkSJFTFJPVXX18E8//ZRhR2KtWrVi5zlx4kSj93f79m1RVS0gpfbB/PnzLW4gkpycLHr6Uc5fPHv2TGpp5gI38MZi/fr1ogIH+fLls8iRaEJCAs2ZM0eUmEkmk5Gvr69RVy4mJSVR6dKlWZ+bN282Wl9ScfjwYdH9YcynI7lcTnPmzFErUde7d2+LG3wQpTwtN2jQQHQuPXr0MOvVtBLADbwxuXz5siglrr29Pa1fv15qWeni0aNHouyGAKhEiRJ04cIFo/V55MgR1lfevHktasLvRyQlJVGpUqXY+W3dutVofT179kwtJLZcuXJ08eJFo/VpTC5fviwq0GFjY0NLliyxmEgfE8INvLF5//491alTR/TlGjJkiMU9DhOljALnzZsnejKxsrKiUaNGGS1mXTUqYsKECUbpQwpUXVA1a9Y0inESBIHWrFkjio6SyWQ0YsQIi11jsGbNGtFTSO7cuc0yU6qZwA28KUhMTBRFhgCgSpUq0Z07d6SWli7u379P1atXF51PmTJl6MqVKwbv69GjR2wS0t7e3iSTkMbm06dPokU4ly9fNngf79+/VwsZ9PT0NHkIpqFISEigv/76S21uy4Lqo0oBN/CmZPXq1aLRh729Pc2bN88iJxCTk5PJ399fdD7W1tY0fvx4gy+QUp1I69Spk0HbloKBAwey8/njjz8M3v6ePXsoR44cImPYp08fi40Hv379OpUvX150PoMHD7bIp2ATww28qbl+/TqVKVNGdLPWq1fPYkemYWFhVLlyZdH5lC9f3qDL2iMjIylnzpys/VOnThmsbVNz69YttpDL2dnZoCPQyMhIUeplICUZXnBwsMH6MCVJSUk0ZcoUUXEOBwcH2rhxo9TSLAVu4KUgPj6ehg0bJlpg4uLiQuvWrbPIiaKkpCSaOnWq6ItoY2NDU6ZMMVjGwTVr1rC2vby8TL6U3xAIgiCK/Jg1a5bB2j558qRaSuh27dqZfR3X1Lh16xZVrFhRdD5eXl5069YtqaVZEtzAS0lISIjal7Jt27b04cMHqaWlixs3boiy9ynnGgyRpVIul4ueFFauXGkAxaZl9+7dovUEhnBlxcXFka+vr1pc+4YNGyxysJCcnEx+fn6iZGfW1tY0adIk7pLRHW7gpSYyMpL++OMP0RfUw8ODgoKCpJaWLhITE2nChAmi6le2trY0e/Zsvecazp49y9rMkSOHWRZzTo34+HgqXLgw0793716927x27Zqau69+/fr04sUL/QVLwN27d6lq1aqi8ylbtixdvXpVammWCjfw5oKmibHevXtb7MTYlStX1IyPIRI/qRbE8PX1NZBa4zNz5kymu1GjRnqNrhUKBfn5+YlcYvb29rRgwQKLnLBXLsL6Pvx27NixFpN+20zhBt6c0BTaVqhQIYudVIyPj6fRo0eL5hpKlCihV+Hvly9fikra3b9/34CKjcPbt29ZrhQrKysKCwtLd1tfv35VK8RhySG3Dx8+VMtkWbJkSYtdhGVmcANvbgiCQGvXrlVbnDJ8+HCLXZyiqfjCrl270t3e5MmTWVstWrQwoFLjoFqoetCgQelu5969e6KMiVZWVjRhwgSL9E0rFAoKCAgQpdlW3uc83YDB4AbeXHn27Bn9/PPPav5IS6qqo8r35dMA0OjRoyk5OVnntmJjYyl//vysnYMHDxpBsWG4ePEi0+nu7k4RERHpaicoKIhcXFxYW9myZaPjx48bWK1pePLkiVrqhGLFivEVqYaHG3hzRi6X09y5c0WLiWxsbGjChAkUGxsrtTydiY2Npa5du4q+2I0bN05Xjc/t27eLHunNcRSrUCjop59+YjrTU+xZoVCInlgAUIUKFSwyY6JCoaAlS5aQk5OT6HyGDh1qkjTUmRBu4C2BsLAwtRSvBQoUoH/++cfiQuEEQaDAwEBRlE3BggV1jpQQBIFq167N2liwYIGRFKefzZs3M31lypTReU1AVFQUtWnTRvS5d+nSxSKN4dWrV9VyMnl6elJISIjU0jIy3MBbComJiTRu3DhR5AQA+vnnn+nmzZtSy9OZ06dPU65cuURRILpm2rx69SqbwM2aNatZLer59u0b5c2bl53fsWPHdDr+4cOHomyTMpmMZs+ebXE/6G/fvqU//vhDrWrUwIEDM1R2UDOFG3hL4/79+9S8eXPRl8XKyor+/vvvdPt3peLNmzdUo0YNtS++Lu6WP//8kx3bv39/I6rVjfHjxzNdbdq00enYAwcOkKurKzvezc3N4iotxcXFkZ+fn6jSEgAqXry4xc4dWCDcwFsigiDQ/v371aotZcuWjZYtW2ZRy/gTEhJEybeAlPS5b9680er4d+/esclHmUxm0tqxqfHs2TMW021ra0uPHj3S6jhBEMjPz0802i1btiw9fvzYyIoNhyAItH37drUV2m5ubhQQEGCWcyUZGG7gLZmEhATy9/dXGyV5eXlZXFrYdevWiRa65MqVS+vSgHPmzGHH1atXT3I3RqdOnZiekSNHanXMt2/fqGPHjqLPsUOHDhQdHW1ktYbj0qVLakVhrK2tadCgQemaSOfoDTfwGYE3b95Qt27dRF8sAPTbb7/Rq1evpJanNVevXhWN/GxsbCgwMPCHBjshIUH0NLNz504TKVYnJCSE6ciZM6dWK3efPHlCZcuWFfnb/fz8JP+h0pbXr19Tjx491O6/Zs2a6bWojaM33MBnJEJDQ6lSpUqiL5mTkxNNnz7dYhZJffr0iRo1aiQ6hwEDBvzQ7RQcHMz2L1SokCSLZeRyuSjWf+3atT885siRI6JFYK6urnTgwAETqNWf2NhYmjJliqheLwAqVaoUHTp0SGp5HG7gMx5yuZxWrVqlltemcOHCtHfvXosYFSYnJ9Po0aNF+jt37pxmXhJBEKhJkyZsfz8/P4Prio2NpdevX6f6/ooVK1j/VapU+WFemHnz5rHc8ErD+ODBA0PLNjgKhYK2bNkiWmwGpCzkWrRokcFSRHP0hhv4jMqXL19o6NChonhzANSkSROLWQ27ZcsWUVho48aN0/RJ37lzh52vk5OT1hO12pCYmMjcQK1bt1abOP369avoR/Xs2bOptiUIAo0cOVL0ubRp08YiEsudP39etHhL6Urz9vamz58/Sy2PI4Yb+IxOWFgYNWzYUM0/2qpVK7p06ZLU8n7IoUOHRC6AatWqpTlhN3jwYLZv9+7dDabj+vXroutna2tLI0eOZEZZNSf7b7/9lmo7ycnJ1KdPH1FbkyZNMvsskNeuXVObBAZALVu2tIiEb5kUbuAzA4Ig0K5du6hQoUJqX9CmTZumOdo0B86dOyfyU5csWZJevnypcd/Pnz9TtmzZ2L4NGjQwSFqHkydPql075UTq9OnT2ZODo6NjqtoSEhKoQ4cOosnUFStW6K3NWAiCQKdOnaJmzZqpnXfZsmXp6NGjUkvkpA038JmJ+Ph4WrJkCRUoUEDtC1u/fn06ceKE2frow8LCRCtD8+fPT/fu3dO475QpU0TnNm/ePL3737t3r0YD//02ZcoUjcdHR0eLJo9tbW3p33//1VuXMVCus/g+5BFICV9dtmxZupLEcUwON/CZkcTERFq1apWowpByq1WrFh0+fNgsDf3z589F6XKzZcumljf87t27lCdPHrWoDn3ZsGGDVga+U6dOaiP4iIgIql69OtvHycnJLFemJicn07Zt29SyfgIpeWOWL19uMdFYHCLiBj5zk5SURBs2bBAZTVVfd3BwsNkZ+g8fPohqs2bJkoW5Cq5evUrZs2fXaHhTc5toy8KFC7Uy8Eo3zeTJkyk2NpbevHkjqmzl5uZG58+fN8SlMBgJCQm0cuVKtZXRSlfMli1b+IjdMuEGnpMSWrlt2za1EntAyqrYnTt3mtUkYFRUFDVo0EDk7pg8ebIof8v3m675YL5n6tSpWht45ZYnTx5RZE3u3LkNUoDcUHz79o3mzZsncn0pt59++omCg4PN6nPn6Aw38Jz/oVAoaOfOnWqpiZUjuW3btplNnpv4+HjRhOWPNisrK3r69Gm6+1ONkknPVqRIEb36NyQRERE0efJk0WS0cmvcuDGdPHnS7J7cOOmCG3iOOoIgUHBwsFqFeyAlG+CaNWvMouCIXC5XW/Wa1ta2bdt096WatVLXLWfOnBQeHm64E08nb968oWHDhqnlLgJA7du3p8uXL0stkWNYuIHnpI4gCHT48GGN0RRZs2alQYMG0a1btyTTt379etFKUG22EydOpKsvTTHg2mweHh709u1bA5+59igUCjpx4gR17dpVVBkMSEkE1rNnT54vJuPCDTznxwiCQCdOnKD69etrNGI//fQTrV271qSVhhYtWpQug1u+fPl0TRjq8qSg3CpXrixZ9aU3b96Qn58fFSlSRE2Xg4MDDRo0iJ4/fy6JNo7J4AaeoxsXL16k3r17qyWYAlISZQ0cONCoOdkFQaDp06fr5Q9ftmyZzv1qcleltXXo0MHkuc+TkpJo79691LJlS41PNtmyZaMxY8bQ+/fvTaqLIxncwHPSR2RkJC1dulRjzDSQEma5Zs0ag5dlO3TokF7GHQBlz55d57wpxYoV07p9bbJfGpIHDx7QyJEjRSUQlZtMJqMmTZrQv//+m2ayNk6GhBt4jn4IgkCXLl2iPn36kJOTk5qBcXFxoQEDBhgkwVliYiK1bNlSbwMPgIYOHapT3x4eHlq1O378eJNEoMTExND69evVClkrtwIFCtDkyZPpxYsXRtfCMVu4gecYjqioKFq+fDlVrFhRo9GpWrUqrVq1Kt1VilTT8WqKBNFmU7ourK2ttZ5cFASBbG1tf9j23Llz03Ve2qL8Mf3rr79YmULVzdbWljp16kRHjhwxm3BWjqRwA88xPIIg0JUrV6hfv34aDbGzszP16dOHDh06pJPboHPnzmqulr59++rkPlGtd9q0aVOtRttxcXFptgMYJt9NakRERNDChQupfPnyGs+pTJkyNH/+fPr48aPRNHAsEm7gOcYlOjqaVq5cSVWqVNFonFxcXKhLly70zz//pJkPXRAEtRwzAMjOzo42bdpE58+fpwEDBoiyTqa2qaYz2L9//w/PISIiQnT89+6aGTNmGPKSERHRixcvKDAwkBo2bCjKia/6BNOnTx+6cOECX5TESQ2t7LaMiKAlWu/IyXxcu3YNq1evxtatWxETE6P2vp2dHRo1aoR27dqhbdu2yJUrF3vv6dOnKFasWKptjxs3DtOnT0dycjIOHDiATZs24dChQ5DL5Wr7FipUCC9fvgQAFCtWDHfu3MGlS5dw6tQpfP36FUQEd3d31KhRA02aNIFMJkOhQoXw+vVrVKpUCTdu3GBtTZ48GVOmTNHjqqRARLh58yaCg4MRHByMmzdvatyvZs2a6Nu3L3799Vc4Ozvr3S8nQyPTai9tfwlM+dPEsVxiY2Np79691LNnT3J3d0/VlVKrVi2aO3cuPX78WKtsju3btxfFnX/8+JEWL15M1apVU3tqqFu3Lnud9/+fDLK7ZaXShQtRmSKelDNbiq5iRYvS/Pnz6fPnz7Ru3TqRa2bMmDF6jZ6TkpLo+PHjNHjwYFGx8e+3IkWK0IgRI/iCJI6u8BE8R1qSk5Nx9uxZ7N27F0FBQXjz5o3G/dzd3fH169cftlexYkXs27cPBQoUEP3//v37GD9+PC5cuIDRo0fDw8MDvXr2hECENnVrYHCnNmhYtSJkspRBDxHh/O17WL7nAHaGnIWdnR3i4uKh/C4MGzYM8+bNY/trS3R0NI4cOYLg4GAcPHgQUVFRGverWrUq2rZti3bt2qFs2bI698PhQMsRPDfwHJNARLh27RqCgoKwd+9e3Lt3L13t5MqVC8HBwfjpp580vn/mzBn88ssvKOtZADv8xqFQnlwa91Py4ctXdJs0CyHXb4OIMHjwYCxatEhro/v27Vvs27cPwcHBOHnyJJKTk9X2sbW1RcOGDdG2bVu0adMG+fLl06ptDicNuIHnmC+PHj1CUFAQduzYgWvXrul0rL29PdavX4/ff/9d9P8HDx6gVq2aqFjEE/vnTYGTg4Pasf4b/8H4FRsw9Nd2WOg7AACQLJejy/iZOHjhCs6ePZvqjwcAyOVyXLt2DcePH0dwcDCuXr2qcb+sWbOiRYsWaNeuHZo3bw5XV1edzpHD+QHcwHPMn71796JDhw7pOnbChAmYOnUqrKysAAAdO3TArSuXcGXdIri5qE9SXrn3EF0mzIRrFifUr+zFDDwAxCckos6A4XD2yI0zZ8+y/ysUCty8eRMhISEICQnB2bNn8e3bN416ChQogLZt26Jt27b4+eefYWdnl67z4nC0QCsDb2NsFRxOWpxVMaa64ufnh7179+LmzZt4//49gvftQ6DvAI3GPSYuHt2nzMGqMd6YsWG72vuODvYY0+NXdJkwE7t27cKbN28QEhKCM2fOIDIyMlUNXl5ezJ9esWJF7k/nmBXcwHMkJTQ0VK/j7969i0OHDuHatWtwtLdH9+YNNe43eN5StKhVHY2rV9Zo4AGgXb1ayOnuhs6dO6faX65cuVC/fn00aNAAzZo1g6enp176ORxjwg08RzJiYmJw/fp1vdpwc3NDvXr1MHTIEHRtWh+uWbKo7fPP8VO4/vAJLq9blGZbtjY2+KtdC8zc+A8EQQAA5MiRA/Xr12dGvXTp0nyUzrEYuIHnSMalS5egUCh0OqZkyZKoU6cO6tatizp16qBIkSIAgLfh4ajwa2u1/V9/+ASfgBU4GjgTDvY/9omXL+oJQRDg7++Pli1bomzZsszHz+FYGtzAcyTjR+4ZGxsbVK5cGXXq1GGbh4eH2n6JiYmQy+VwcXJUe+/ag8f4+DUSVXsPZv9TKAScuXkHS3fvQ8Lp/bC2tmbvuTg5AQC6deumFm/P4Vga3MBzzIYsWbKgZs2abHT+008/IYsGl8v32NnZwcbGBt/i4tXea1S1Im5vWSH6358z5qNUoQIY1f1XkXEHgG9xcQAAFxcXPc6EwzEPuIHnSMbIkSPh6OgIOzs71K1bF15eXrCx0f2WlMlkyJ8vH24/ea72nksWJ5Qr6in6XxYHB2RzdVX7PwDcfvIczs7OPG6dkyHgBp4jGU5OThg1apRB2urZqxcWzJuHOYP7aJxo1Yak5GSsPXAMPXr04H53ToaAL3TiZAjevn2LQoUKYaFPfwzq1CZdbez47wx+mzgTYWFhKFeunIEVcjgGha9k5WQuOnXqiBsXL+LKukC4u+rmQ49LSECd/sPhmisvTp85YySFHI7B0MrA8+dQToZh5kx/RMbHo8PY6YiNT9D6uKTkZHSfMgeP3rzDgoAAIyrkcEwLN/CcDEOJEiUQHLwPVx8+RYNBo/Di3fsfHvMu4jNaDJuIQxeuYseOHahSpYoJlHI4poG7aDgZjuvXr6NVy5b48PEjWtWujoEdWqFJ9cps4pSIcOZGGFbsPYjdp87B2TkLgoKCUa9ePYmVczhaw33wnMxLTEwMtm3bhqVLluB2WBjcXFzg4Z4VMpkMn6Oi8TkyCiWKF8ffgwahV69ecHNzk1oyh6ML3MBzOESECxcusJqsgiDA3d0dNWvWRMOGDXleGY6lwg08h8PhZFB4FA2Hw+FkZriB53A4nAwKN/AcDoeTQeEGnsPhcDIo3MBzOBxOBkWXbJI8nozD4XAsCD6C53A4nAwKN/AcDoeTQeEGnsPhcDIo3MBzOBxOBoUbeA6Hw8mgcAPP4XA4GRRu4DkcDieDwg08h8PhZFC4gedwOJwMyv8BVdsP7YjuTTYAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "PdP3a=C^3/(1,2,3) : Quiver with 6 vertices, 18 arrows and potential with 12 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 6 x^{3} + 13 x^{4} + 24 x^{5} + 48 x^{6} + 86 x^{7} + 160 x^{8} + 282 x^{9} + 500 x^{10} + 859 x^{11} + 1479 x^{12} + 2485 x^{13} + 4167 x^{14} + 6879 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 48*x^6 + 86*x^7 + 160*x^8 + 282*x^9 + 500*x^10 + 859*x^11 + 1479*x^12 + 2485*x^13 + 4167*x^14 + 6879*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "Y30 : Quiver with 6 vertices, 12 arrows and potential with 6 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 24 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 2 x^{2} + 5 x^{3} + 10 x^{4} + 18 x^{5} + 32 x^{6} + 59 x^{7} + 106 x^{8} + 181 x^{9} + 305 x^{10} + 518 x^{11} + 867 x^{12} + 1418 x^{13} + 2301 x^{14} + 3724 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 2*x^2 + 5*x^3 + 10*x^4 + 18*x^5 + 32*x^6 + 59*x^7 + 106*x^8 + 181*x^9 + 305*x^10 + 518*x^11 + 867*x^12 + 1418*x^13 + 2301*x^14 + 3724*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "Y31 : Quiver with 6 vertices, 14 arrows and potential with 8 terms\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 26 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "\\begin{math}\n", "\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + x + 3 x^{2} + 5 x^{3} + 9 x^{4} + 15 x^{5} + 25 x^{6} + 43 x^{7} + 75 x^{8} + 125 x^{9} + 211 x^{10} + 357 x^{11} + 605 x^{12} + 1018 x^{13} + 1720 x^{14} + 2888 x^{15}\n", "\\end{math}" ], "text/plain": [ "1 + x + 3*x^2 + 5*x^3 + 9*x^4 + 15*x^5 + 25*x^6 + 43*x^7 + 75*x^8 + 125*x^9 + 211*x^10 + 357*x^11 + 605*x^12 + 1018*x^13 + 1720*x^14 + 2888*x^15" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n" ] } ], "source": [ "for l in BTD:\n", " Q=BTQuiver(potential=l[1])\n", " print(l[0],\":\",Q); show(Q)\n", " I=partition_func1(Q, 1, 15); show(I)\n", " print('\\n')" ] }, { "cell_type": "code", "execution_count": null, "id": "competitive-aberdeen", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "author": { "name": "Sergey Mozgovoy" }, "kernelspec": { "display_name": "SageMath 9.2", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" }, "title": "Counting molten crystals" }, "nbformat": 4, "nbformat_minor": 5 }