proygen.ipynb

@@ -1,156 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 13,
-   "id": "aedc330d-0f66-48b0-9bab-290cc2d29674",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "R3.<x, y, z> = PolynomialRing(QQ, order='negdeglex')\n",
-    "R2.<u, v> = PolynomialRing(QQ, order='negdeglex')\n",
-    "R2.<u, v> = PolynomialRing(QQ, order='negdeglex')\n",
-    "f = (v^2 - u^3)^4 + u^2 * v^7 + v^9 + u^13\n",
-    "g = (v^2 - u^3)^6 + u^2 * v^11 + v^13\n",
-    "F = z^3 - 3 * f(u=x, v=y) * z + 2 * g(u=x, v=y)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 14,
-   "id": "f8fdf84a-210d-499f-a694-8181041eee1c",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "837"
-      ]
-     },
-     "execution_count": 14,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "h = F.discriminant(z)(x=u, y=v)\n",
-    "h.jacobian_ideal().vector_space_dimension()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "id": "9a325ac6-d1c1-4c3f-a9a6-a0cb42024c8a",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "586"
-      ]
-     },
-     "execution_count": 10,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": []
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "id": "4a48f3b9-7ee5-4f3c-afd4-5cb2e3bd26c0",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "[(216) * (u + v) * v^6 * (u^6 - u^5*v + u^4*v^2 - u^3*v^3 + u^2*v^4 - u*v^5 + v^6),\n",
-       " (108) * u^7 * (2*v^6 - u^7)]"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "Z0 = ZetaFunctions(h)\n",
-    "[p.factor() for p in Z0.get_polyfaces_dictionary(compact=True) if p.number_of_terms() > 1]"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "id": "0d5f9c36-da08-415f-9207-7d7c089645bd",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "13"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "F1 = F(x=x + 5 * z, y= y + 7 * z)\n",
-    "F1.degree(z)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 12,
-   "id": "d70efb99-6df4-41ac-bc8f-14cd4fd05a8a",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "586"
-      ]
-     },
-     "execution_count": 12,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "dis = F1.discriminant(z)(x=u, y=v)\n",
-    "dis.jacobian_ideal().vector_space_dimension()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "f151e667-d7c6-409a-8587-ff34d2b53a32",
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "SageMath 10.4.beta9",
-   "language": "sage",
-   "name": "sagemath-310"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.12.3"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}