539 lines
179 KiB
Plaintext
539 lines
179 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"S.<z,w,t> = QQ[]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"R.<z,w> = QQ[]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"f = (4*z^3+12*z+3-w^2)^2-8*w-48*z+52"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"16*z^6 - 8*z^3*w^2 + 96*z^4 + w^4 + 24*z^3 - 24*z*w^2 + 144*z^2 - 6*w^2 + 24*z - 8*w + 61"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"f"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"I = S.ideal([-z+t^4+2*t^2+2*t+1,-w+2*t^6+6*t^4+6*t^3+6*t^2+6*t+5])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"16*z^6 - 8*z^3*w^2 + 96*z^4 + w^4 + 24*z^3 - 24*z*w^2 + 144*z^2 - 6*w^2 + 24*z - 8*w + 61"
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]
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},
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"execution_count": 6,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"g = I.elimination_ideal(t).gen(0)\n",
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"g"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"16*z^6 - 8*z^3*w^2 + 96*z^4 + w^4 + 24*z^3 - 24*z*w^2 + 144*z^2 - 6*w^2 + 24*z - 8*w + 61"
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]
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},
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"execution_count": 7,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"f"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"0"
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]
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},
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"execution_count": 8,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"g-f"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [
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{
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"ename": "ArithmeticError",
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"evalue": "factorization of 0 is not defined",
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"output_type": "error",
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"traceback": [
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"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
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"\u001b[0;31mArithmeticError\u001b[0m Traceback (most recent call last)",
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"\u001b[0;32m<ipython-input-9-b24d63046d5c>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0m_\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
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"\u001b[0;32m/home/mmarco/sage/local/lib/python3.7/site-packages/sage/rings/polynomial/multi_polynomial_libsingular.pyx\u001b[0m in \u001b[0;36msage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular.factor (build/cythonized/sage/rings/polynomial/multi_polynomial_libsingular.cpp:33243)\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4353\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4354\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mp_IsConstant\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_poly\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_ring\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 4355\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconstant_coefficient\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4356\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4357\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parent\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_base\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_field\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m/home/mmarco/sage/local/lib/python3.7/site-packages/sage/rings/rational.pyx\u001b[0m in \u001b[0;36msage.rings.rational.Rational.factor (build/cythonized/sage/rings/rational.c:24593)\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3101\u001b[0m \"\"\"\n\u001b[1;32m 3102\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0msage\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstructure\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactorization\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mFactorization\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3103\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnumerator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m\\\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3104\u001b[0m \u001b[0mFactorization\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0me\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdenominator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3105\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m/home/mmarco/sage/local/lib/python3.7/site-packages/sage/rings/integer.pyx\u001b[0m in \u001b[0;36msage.rings.integer.Integer.factor (build/cythonized/sage/rings/integer.c:25009)\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3997\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3998\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmpz_sgn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3999\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mArithmeticError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"factorization of 0 is not defined\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4000\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4001\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmpz_sgn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;31mArithmeticError\u001b[0m: factorization of 0 is not defined"
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]
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}
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],
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"source": [
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"_.factor()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"R(g)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [
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{
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"ename": "ArithmeticError",
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"evalue": "factorization of 0 is not defined",
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"output_type": "error",
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"traceback": [
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"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
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"\u001b[0;31mArithmeticError\u001b[0m Traceback (most recent call last)",
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"\u001b[0;32m<ipython-input-10-b24d63046d5c>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0m_\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
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"\u001b[0;32m/home/mmarco/sage/local/lib/python3.7/site-packages/sage/rings/polynomial/multi_polynomial_libsingular.pyx\u001b[0m in \u001b[0;36msage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular.factor (build/cythonized/sage/rings/polynomial/multi_polynomial_libsingular.cpp:33243)\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4353\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4354\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mp_IsConstant\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_poly\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0m_ring\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 4355\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconstant_coefficient\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4356\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4357\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_parent\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_base\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_field\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m/home/mmarco/sage/local/lib/python3.7/site-packages/sage/rings/rational.pyx\u001b[0m in \u001b[0;36msage.rings.rational.Rational.factor (build/cythonized/sage/rings/rational.c:24593)\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3101\u001b[0m \"\"\"\n\u001b[1;32m 3102\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0msage\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstructure\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactorization\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mFactorization\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3103\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnumerator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m\\\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3104\u001b[0m \u001b[0mFactorization\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0me\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdenominator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfactor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3105\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m/home/mmarco/sage/local/lib/python3.7/site-packages/sage/rings/integer.pyx\u001b[0m in \u001b[0;36msage.rings.integer.Integer.factor (build/cythonized/sage/rings/integer.c:25009)\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3997\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3998\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmpz_sgn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3999\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mArithmeticError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"factorization of 0 is not defined\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4000\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4001\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmpz_sgn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
|
"\u001b[0;31mArithmeticError\u001b[0m: factorization of 0 is not defined"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"_.factor()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sage.schemes.curves.zariski_vankampen import segments,braid_in_segment,discrim"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[-18.84361109981263?,\n",
|
|
" 3.119596509456179?,\n",
|
|
" -3.322028936993635? - 2.537820835040446?*I,\n",
|
|
" -3.322028936993635? + 2.537820835040446?*I,\n",
|
|
" -0.07819445009368601? - 0.2166887457075094?*I,\n",
|
|
" -0.07819445009368601? + 0.2166887457075094?*I,\n",
|
|
" 3.512230682265546? - 2.102866430330456?*I,\n",
|
|
" 3.512230682265546? + 2.102866430330456?*I]"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"discrim(f(w,z))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[0.5438713443812133?,\n",
|
|
" 4.224169871088594?,\n",
|
|
" -0.1120849355442970? - 0.966627427027748?*I,\n",
|
|
" -0.1120849355442970? + 0.966627427027748?*I,\n",
|
|
" 0.2280643278093934? - 2.049368526458496?*I,\n",
|
|
" 0.2280643278093934? + 2.049368526458496?*I]"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"discrim(f)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"D = QQ[z](f.discriminant(w)).roots(QQbar,multiplicities=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[0.5438713443812133?,\n",
|
|
" 4.224169871088594?,\n",
|
|
" -0.1120849355442970? - 0.966627427027748?*I,\n",
|
|
" -0.1120849355442970? + 0.966627427027748?*I,\n",
|
|
" 0.2280643278093934? - 2.049368526458496?*I,\n",
|
|
" 0.2280643278093934? + 2.049368526458496?*I]"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"D"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"Graphics object consisting of 1 graphics primitive"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"list_plot(D,axes=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"segs = segments(D)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[(8.94833974217719 + 8.94833974217719*I,\n",
|
|
" 5.78913908678074 + 7.97229360268126*I),\n",
|
|
" (8.94833974217719 + 8.94833974217719*I,\n",
|
|
" 8.94833974217719 - 8.94833974217719*I),\n",
|
|
" (5.78913908678074 + 7.97229360268126*I,\n",
|
|
" 2.38402060773490 + 1.33258353884415*I),\n",
|
|
" (2.38402060773490 + 1.33258353884415*I,\n",
|
|
" 2.38402060773490 - 1.33258353884415*I),\n",
|
|
" (2.38402060773490 - 1.33258353884415*I,\n",
|
|
" 5.78913908678074 - 7.97229360268126*I),\n",
|
|
" (8.94833974217719 - 8.94833974217719*I,\n",
|
|
" 5.78913908678074 - 7.97229360268126*I),\n",
|
|
" (-7.70746890458384 + 7.70746890458384*I,\n",
|
|
" 5.78913908678074 + 7.97229360268126*I),\n",
|
|
" (-7.70746890458384 - 7.70746890458384*I,\n",
|
|
" 5.78913908678074 - 7.97229360268126*I),\n",
|
|
" (-7.70746890458384 + 7.70746890458384*I,\n",
|
|
" -7.12622272339856 + 3.76495909474697*I),\n",
|
|
" (2.38402060773490 + 1.33258353884415*I,\n",
|
|
" 1.19808353306735 + 1.14983102529800*I),\n",
|
|
" (-7.12622272339856 + 3.76495909474697*I,\n",
|
|
" 1.19808353306735 + 1.14983102529800*I),\n",
|
|
" (1.19808353306735 - 1.14983102529800*I,\n",
|
|
" -7.12622272339856 - 3.76495909474697*I),\n",
|
|
" (1.19808353306735 - 1.14983102529800*I,\n",
|
|
" -0.496325438254182 - 1.11022302462516e-16*I),\n",
|
|
" (-0.496325438254182 - 1.11022302462516e-16*I,\n",
|
|
" -6.85784523455789 - 1.11022302462516e-16*I),\n",
|
|
" (-7.12622272339856 - 3.76495909474697*I,\n",
|
|
" -6.85784523455789 - 1.11022302462516e-16*I),\n",
|
|
" (-7.70746890458384 - 7.70746890458384*I,\n",
|
|
" -7.12622272339856 - 3.76495909474697*I),\n",
|
|
" (2.38402060773490 - 1.33258353884415*I,\n",
|
|
" 1.19808353306735 - 1.14983102529800*I),\n",
|
|
" (1.19808353306735 + 1.14983102529800*I,\n",
|
|
" -0.496325438254182 - 1.11022302462516e-16*I),\n",
|
|
" (-7.12622272339856 + 3.76495909474697*I,\n",
|
|
" -6.85784523455789 - 1.11022302462516e-16*I)]"
|
|
]
|
|
},
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"segs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"dsegs = [(s,braid_in_segment(f,*s)) for s in segs]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"PL = list_plot(D,axes=False)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"for dseg in dsegs:\n",
|
|
" s = dseg[0]\n",
|
|
" cent = (s[0]+s[1])/2\n",
|
|
" PL += arrow((s[0].real(),s[0].imag()),(s[1].real(),s[1].imag()),color='red',arrowsize=2,thickness=0.5)\n",
|
|
" PL+=text(dseg[1].Tietze(), (cent.real(),cent.imag()),color='black')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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|
|
"text/plain": [
|
|
"Graphics object consisting of 39 graphics primitives"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"PL.show(dpi=400,aspect_ratio=1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"B = BraidGroup(4)\n",
|
|
"b = B([-2,-1,2,1,3,2,-1])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(s0^-1*s1^-1*s2^-1*s0^-1*s1^-1*s0^-1, s0*s2*s1, s1*s0*s2*s1)"
|
|
]
|
|
},
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"b.left_normal_form()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"c=b.conjugating_braid(B([1]))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"s0*s2*(s1*s0)^2*s1^-1*s0^-1*s1^-1*s2^-1*s0^-1"
|
|
]
|
|
},
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"c*B([1])/c"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(s0^-1*s1^-1*s2^-1*s0^-1*s1^-1*s0^-1, s0*s2*s1, s1*s0*s2*s1)"
|
|
]
|
|
},
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"_.left_normal_form()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"s0*s2*s1*s0*s1"
|
|
]
|
|
},
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"c"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "SageMath 9.1",
|
|
"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": "3.7.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|