pruebas
This commit is contained in:
parent
24b179445b
commit
8af89c1e94
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"cells": [
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"id": "b0a70dc1-6537-456b-8243-43ab8eb49923",
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"id": "b0a70dc1-6537-456b-8243-43ab8eb49923",
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"id": "cad50def-ecb8-403f-b50c-ce026fbd216d",
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"execution_count": 5,
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"id": "5ec9dd77-8118-4439-b8cb-4c475a2a645e",
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@ -38,7 +38,7 @@
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"((0, 0, 0, 0, 0, 0, 1), (0, 0, 4, 0, 0, 0, 0), (0, 0, 0, 0, 0, 0, 3))"
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"((0, 0, 0, 0, 0, 0, 1), (0, 0, 4, 0, 0, 0, 0), (0, 0, 0, 0, 0, 0, 3))"
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]
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]
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"execution_count": 38,
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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"output_type": "execute_result"
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"id": "c5104650-44eb-4c9c-b016-c34994f72f38",
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"id": "8dccac88-2fa3-4365-990a-2571f643b9dc",
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"cell_type": "code",
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"cell_type": "code",
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"execution_count": 8,
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"id": "097214a4-61e4-4939-bad0-4e5b3c8ac716",
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"id": "097214a4-61e4-4939-bad0-4e5b3c8ac716",
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"metadata": {},
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"outputs": [
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@ -84,7 +84,7 @@
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" {1: 1, 2: 1, 6: 1, 4: 1, 3: 1, 12: 1, 8: 1, 7: 1, 24: 1, 21: 1})"
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" {1: 1, 2: 1, 6: 1, 4: 1, 3: 1, 12: 1, 8: 1, 7: 1, 24: 1, 21: 1})"
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]
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]
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"execution_count": 41,
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"execution_count": 8,
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"output_type": "execute_result"
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"cell_type": "code",
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"cell_type": "code",
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"execution_count": 42,
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"execution_count": 12,
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"id": "3f56c2cb-e3b4-4c71-b6c8-903bf1736aef",
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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: (x^2*z + z^3 + x^4, (2, 1, 1), 1),\n",
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" 1: (z^3 + x^4*z + x^8, (3, 1, 1), 0),\n",
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" 2: (z^3 + x^6*z + x^12, (4, 1, 1), 0),\n",
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" 3: (z^3 + x^7*z + x^12, (5, 1, 1), 1),\n",
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" 4: (z^3 + x^14*z + x^24, (9, 1, 1), -1),\n",
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" 5: (z^3 + x^15*z + x^24, (10, 1, 1), 0),\n",
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" 6: (z^3 + x^16*z + x^24, (11, 1, 1), -2),\n",
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" (0, 1): (z^3 + x^2*y^4*z + x^4*y^8, (2, 3, 1), 1),\n",
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" (1, 2): (z^3 + x^4*y^6*z + x^8*y^12, (3, 4, 1), 1),\n",
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" (2, 4): (z^3 + x^6*y^14*z + x^12*y^24, (4, 9, 1), 1),\n",
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" (3, 4): (z^3 + x^7*y^14*z + x^12*y^24, (5, 9, 1), 1),\n",
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" (4, 5): (z^3 + x^14*y^15*z + x^24*y^24, (9, 10, 1), 1),\n",
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" (5, 6): (z^3 + x^15*y^16*z + x^24*y^24, (10, 11, 1), 1),\n",
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" (6, 'd'): (z^3 + x^8*z^2 + x^24*y, (11, 1, 1), 3)}"
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]
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},
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"execution_count": 12,
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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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"pols"
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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": 25,
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"id": "558ef7c7-39cf-47bf-b224-479f1ff365d4",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"0\n"
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]
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(-\\frac{1}{2}\\right) \\cdot (s + 1)^{-2} \\cdot (s - 1)\\)</html>"
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],
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"text/latex": [
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"$\\displaystyle \\left(-\\frac{1}{2}\\right) \\cdot (s + 1)^{-2} \\cdot (s - 1)$"
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],
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"text/plain": [
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"(-1/2) * (s + 1)^-2 * (s - 1)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{1: -1, 3: -1}\n",
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"=======================\n",
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"1\n",
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"0\n",
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"{}\n",
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"=======================\n",
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"2\n",
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"0\n",
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"{}\n",
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"=======================\n",
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"3\n"
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]
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},
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(\\frac{2}{105}\\right) \\cdot (s + \\frac{17}{21})^{-1} \\cdot (s + 1)^{-1} \\cdot (s + \\frac{17}{2})\\)</html>"
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],
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"text/latex": [
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"$\\displaystyle \\left(\\frac{2}{105}\\right) \\cdot (s + \\frac{17}{21})^{-1} \\cdot (s + 1)^{-1} \\cdot (s + \\frac{17}{2})$"
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],
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"text/plain": [
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"(2/105) * (s + 17/21)^-1 * (s + 1)^-1 * (s + 17/2)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{7: -1, 21: -1}\n",
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"=======================\n",
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"4\n"
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]
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},
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(\\frac{11}{189}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + 1)^{-1} \\cdot (s - \\frac{16}{11})\\)</html>"
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],
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"text/latex": [
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"$\\displaystyle \\left(\\frac{11}{189}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + 1)^{-1} \\cdot (s - \\frac{16}{11})$"
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],
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"text/plain": [
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"(11/189) * (s + 16/21)^-1 * (s + 1)^-1 * (s - 16/11)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{1: 1, 3: 1, 7: 2, 21: 2}\n",
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"=======================\n",
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"5\n",
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"0\n",
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"{}\n",
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"=======================\n",
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"6\n"
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]
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},
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(\\frac{7}{66}\\right) \\cdot (s + \\frac{19}{24})^{-1} \\cdot (s + 1)^{-1} \\cdot (s - \\frac{19}{14})\\)</html>"
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],
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"text/latex": [
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"$\\displaystyle \\left(\\frac{7}{66}\\right) \\cdot (s + \\frac{19}{24})^{-1} \\cdot (s + 1)^{-1} \\cdot (s - \\frac{19}{14})$"
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],
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"text/plain": [
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"(7/66) * (s + 19/24)^-1 * (s + 1)^-1 * (s - 19/14)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{1: 2, 2: 4, 3: 2, 6: 4, 4: 4, 12: 4, 8: 4, 24: 4}\n",
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"=======================\n",
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"(0, 1)\n"
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]
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},
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(\\frac{1}{18}\\right) \\cdot (s + 1)^{-2} \\cdot (s + \\frac{5}{6})^{-1} \\cdot (s^{2} + \\frac{1}{2} s + \\frac{5}{2})\\)</html>"
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],
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"text/latex": [
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"$\\displaystyle \\left(\\frac{1}{18}\\right) \\cdot (s + 1)^{-2} \\cdot (s + \\frac{5}{6})^{-1} \\cdot (s^{2} + \\frac{1}{2} s + \\frac{5}{2})$"
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],
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"text/plain": [
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"(1/18) * (s + 1)^-2 * (s + 5/6)^-1 * (s^2 + 1/2*s + 5/2)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{1: 1, 3: 1}\n",
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"=======================\n",
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"(1, 2)\n"
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]
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},
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(\\frac{1}{36}\\right) \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + \\frac{5}{6})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{17}{18} s + \\frac{35}{18})\\)</html>"
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],
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"text/latex": [
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"$\\displaystyle \\left(\\frac{1}{36}\\right) \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + \\frac{5}{6})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{17}{18} s + \\frac{35}{18})$"
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],
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"text/plain": [
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"(1/36) * (s + 7/9)^-1 * (s + 5/6)^-1 * (s + 1)^-1 * (s^2 + 17/18*s + 35/18)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{1: 1, 3: 1}\n",
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"=======================\n",
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"(2, 4)\n"
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]
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},
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(\\frac{1}{108}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{67}{63} s + \\frac{16}{9})\\)</html>"
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],
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"text/latex": [
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||||||
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"$\\displaystyle \\left(\\frac{1}{108}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{67}{63} s + \\frac{16}{9})$"
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],
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"text/plain": [
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"(1/108) * (s + 16/21)^-1 * (s + 7/9)^-1 * (s + 1)^-1 * (s^2 + 67/63*s + 16/9)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{1: 1, 3: 1}\n",
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"=======================\n",
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"(3, 4)\n"
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]
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},
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{
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"data": {
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"text/html": [
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"<html>\\(\\displaystyle \\left(\\frac{1}{135}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + \\frac{17}{21})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{284}{147} s + \\frac{272}{147})\\)</html>"
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],
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"text/latex": [
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"$\\displaystyle \\left(\\frac{1}{135}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + \\frac{17}{21})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{284}{147} s + \\frac{272}{147})$"
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],
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"text/plain": [
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"(1/135) * (s + 16/21)^-1 * (s + 17/21)^-1 * (s + 1)^-1 * (s^2 + 284/147*s + 272/147)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"{1: 1, 3: 1}\n",
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"=======================\n",
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"(4, 5)\n"
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]
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},
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{
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"data": {
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"text/html": [
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||||||
|
"<html>\\(\\displaystyle \\left(\\frac{1}{270}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{121}{63} s + \\frac{16}{9})\\)</html>"
|
||||||
|
],
|
||||||
|
"text/latex": [
|
||||||
|
"$\\displaystyle \\left(\\frac{1}{270}\\right) \\cdot (s + \\frac{16}{21})^{-1} \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{121}{63} s + \\frac{16}{9})$"
|
||||||
|
],
|
||||||
|
"text/plain": [
|
||||||
|
"(1/270) * (s + 16/21)^-1 * (s + 7/9)^-1 * (s + 1)^-1 * (s^2 + 121/63*s + 16/9)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"metadata": {},
|
||||||
|
"output_type": "display_data"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"{1: 1, 3: 1}\n",
|
||||||
|
"=======================\n",
|
||||||
|
"(5, 6)\n"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"data": {
|
||||||
|
"text/html": [
|
||||||
|
"<html>\\(\\displaystyle \\left(\\frac{1}{330}\\right) \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + \\frac{19}{24})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{139}{72} s + \\frac{133}{72})\\)</html>"
|
||||||
|
],
|
||||||
|
"text/latex": [
|
||||||
|
"$\\displaystyle \\left(\\frac{1}{330}\\right) \\cdot (s + \\frac{7}{9})^{-1} \\cdot (s + \\frac{19}{24})^{-1} \\cdot (s + 1)^{-1} \\cdot (s^{2} + \\frac{139}{72} s + \\frac{133}{72})$"
|
||||||
|
],
|
||||||
|
"text/plain": [
|
||||||
|
"(1/330) * (s + 7/9)^-1 * (s + 19/24)^-1 * (s + 1)^-1 * (s^2 + 139/72*s + 133/72)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"metadata": {},
|
||||||
|
"output_type": "display_data"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"{1: 1, 3: 1}\n",
|
||||||
|
"=======================\n",
|
||||||
|
"(6, 'd')\n"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"data": {
|
||||||
|
"text/html": [
|
||||||
|
"<html>\\(\\displaystyle \\left(-\\frac{3}{88}\\right) \\cdot (s + \\frac{19}{24})^{-1} \\cdot (s + 1)^{-1} \\cdot (s - \\frac{19}{3})\\)</html>"
|
||||||
|
],
|
||||||
|
"text/latex": [
|
||||||
|
"$\\displaystyle \\left(-\\frac{3}{88}\\right) \\cdot (s + \\frac{19}{24})^{-1} \\cdot (s + 1)^{-1} \\cdot (s - \\frac{19}{3})$"
|
||||||
|
],
|
||||||
|
"text/plain": [
|
||||||
|
"(-3/88) * (s + 19/24)^-1 * (s + 1)^-1 * (s - 19/3)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"metadata": {},
|
||||||
|
"output_type": "display_data"
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"{2: -3, 6: -3, 4: -3, 12: -3, 8: -3, 24: -3}\n",
|
||||||
|
"=======================\n"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"for j in pols:\n",
|
||||||
|
" pol, pesos, euler = pols[j]\n",
|
||||||
|
" print(j)\n",
|
||||||
|
" zt, zm, dc = estrato(pol, pesos, euler, info=True)\n",
|
||||||
|
" if zt != 0:\n",
|
||||||
|
" show(zt.factor())\n",
|
||||||
|
" else:\n",
|
||||||
|
" print(zt)\n",
|
||||||
|
" print(dc)\n",
|
||||||
|
" print(\"=======================\")"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 26,
|
||||||
|
"id": "8f5e2324-c385-4a99-a4a4-96cc9aa35c12",
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"data": {
|
||||||
|
"text/plain": [
|
||||||
|
"(z^3 + x^8*z^2 + x^24*y, (11, 1, 1), 3)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"execution_count": 26,
|
||||||
|
"metadata": {},
|
||||||
|
"output_type": "execute_result"
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"pols[6, 'd']"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 27,
|
||||||
"id": "38806472-5640-42de-86b7-b50e64817c6a",
|
"id": "38806472-5640-42de-86b7-b50e64817c6a",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [],
|
"outputs": [],
|
||||||
@ -105,7 +462,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 43,
|
"execution_count": 29,
|
||||||
"id": "a46b91f9-b42a-48c8-8208-16e2095a221f",
|
"id": "a46b91f9-b42a-48c8-8208-16e2095a221f",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
@ -115,7 +472,7 @@
|
|||||||
"((0, 0, 0, 0, 0, 1, 0, 0), (0, 0, 0, 1, 0, 0, 1, 0), (0, 0, 0, 0, 1, 0, 0, 1))"
|
"((0, 0, 0, 0, 0, 1, 0, 0), (0, 0, 0, 1, 0, 0, 1, 0), (0, 0, 0, 0, 1, 0, 0, 1))"
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
"execution_count": 43,
|
"execution_count": 29,
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"output_type": "execute_result"
|
"output_type": "execute_result"
|
||||||
}
|
}
|
||||||
@ -128,7 +485,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 44,
|
"execution_count": 30,
|
||||||
"id": "a23267a1-ad55-4b88-871e-097b6e1b624f",
|
"id": "a23267a1-ad55-4b88-871e-097b6e1b624f",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [],
|
"outputs": [],
|
||||||
@ -138,7 +495,29 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 45,
|
"execution_count": 33,
|
||||||
|
"id": "1091d954-9b65-4496-974c-aa6c6276c5ec",
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"(6, 12, 18, 21, 42, 45, 45, 90)\n",
|
||||||
|
"(6, 12, 18, 22, 42, 44, 46, 90)\n",
|
||||||
|
"(6, 12, 18, 21, 42, 44, 45, 90)\n"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"print(3 * Nf1)\n",
|
||||||
|
"print(2 * Ng1)\n",
|
||||||
|
"print(Nd1)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 34,
|
||||||
"id": "bbc67c59-33f2-4607-a364-c8dc58e305a8",
|
"id": "bbc67c59-33f2-4607-a364-c8dc58e305a8",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [],
|
"outputs": [],
|
||||||
@ -148,7 +527,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 46,
|
"execution_count": 35,
|
||||||
"id": "67179a40-ad7d-400b-b6dd-c2282dae00ce",
|
"id": "67179a40-ad7d-400b-b6dd-c2282dae00ce",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
@ -159,7 +538,7 @@
|
|||||||
" (-5/21) * (s + 16/21)^-1 * (s + 1)^-1 * (s - 16/5))"
|
" (-5/21) * (s + 16/21)^-1 * (s + 1)^-1 * (s - 16/5))"
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
"execution_count": 46,
|
"execution_count": 35,
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"output_type": "execute_result"
|
"output_type": "execute_result"
|
||||||
}
|
}
|
||||||
@ -170,7 +549,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 47,
|
"execution_count": 36,
|
||||||
"id": "9fc6382a-02e9-43e7-b06c-2e5477fbf24b",
|
"id": "9fc6382a-02e9-43e7-b06c-2e5477fbf24b",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
@ -181,7 +560,7 @@
|
|||||||
" {1: 1, 3: 1, 7: 2, 21: 2})"
|
" {1: 1, 3: 1, 7: 2, 21: 2})"
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
"execution_count": 47,
|
"execution_count": 36,
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"output_type": "execute_result"
|
"output_type": "execute_result"
|
||||||
}
|
}
|
||||||
@ -192,7 +571,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 48,
|
"execution_count": 37,
|
||||||
"id": "e9645f64-855b-4b4f-9e51-5d242ec6de8b",
|
"id": "e9645f64-855b-4b4f-9e51-5d242ec6de8b",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
@ -202,7 +581,7 @@
|
|||||||
"((0, 0, 0, 0, 1, 0, 0, 0), (0, 0, 0, 1, 1, 0, 0, 0), (0, 0, 0, 0, 1, 0, 0, 1))"
|
"((0, 0, 0, 0, 1, 0, 0, 0), (0, 0, 0, 1, 1, 0, 0, 0), (0, 0, 0, 0, 1, 0, 0, 1))"
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
"execution_count": 48,
|
"execution_count": 37,
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"output_type": "execute_result"
|
"output_type": "execute_result"
|
||||||
}
|
}
|
||||||
@ -215,7 +594,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 49,
|
"execution_count": 38,
|
||||||
"id": "e3236935-72bd-4eae-b2a5-204a11451707",
|
"id": "e3236935-72bd-4eae-b2a5-204a11451707",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [],
|
"outputs": [],
|
||||||
@ -225,7 +604,29 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 50,
|
"execution_count": 39,
|
||||||
|
"id": "daee0c17-b39d-45d6-a950-9856a2d3af2d",
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"name": "stdout",
|
||||||
|
"output_type": "stream",
|
||||||
|
"text": [
|
||||||
|
"(6, 12, 18, 21, 42, 42, 42, 84)\n",
|
||||||
|
"(6, 12, 18, 22, 42, 42, 42, 84)\n",
|
||||||
|
"(6, 12, 18, 21, 42, 44, 45, 90)\n"
|
||||||
|
]
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"print(3 * Nf2)\n",
|
||||||
|
"print(2 * Ng2)\n",
|
||||||
|
"print(Nd2)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 40,
|
||||||
"id": "1bf9e48e-d38f-4818-8ec0-7b7079cb1415",
|
"id": "1bf9e48e-d38f-4818-8ec0-7b7079cb1415",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [],
|
"outputs": [],
|
||||||
@ -235,7 +636,7 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": 51,
|
"execution_count": 41,
|
||||||
"id": "5bbbdfd7-c71b-4727-a57e-3adfb09baddb",
|
"id": "5bbbdfd7-c71b-4727-a57e-3adfb09baddb",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [
|
"outputs": [
|
||||||
@ -246,7 +647,7 @@
|
|||||||
" (-41/168) * (s + 16/21)^-1 * (s + 19/24)^-1 * (s + 1)^-1 * (s^2 - 283/123*s - 304/123))"
|
" (-41/168) * (s + 16/21)^-1 * (s + 19/24)^-1 * (s + 1)^-1 * (s^2 - 283/123*s - 304/123))"
|
||||||
]
|
]
|
||||||
},
|
},
|
||||||
"execution_count": 51,
|
"execution_count": 41,
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"output_type": "execute_result"
|
"output_type": "execute_result"
|
||||||
}
|
}
|
||||||
@ -279,11 +680,113 @@
|
|||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
"execution_count": null,
|
"execution_count": 43,
|
||||||
|
"id": "50a35ef7-a01a-41df-8e74-444ab2840729",
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"data": {
|
||||||
|
"text/html": [
|
||||||
|
"<html>\\(\\displaystyle \\left(\\begin{array}{rrrrr}\n",
|
||||||
|
"-2 & 1 & 0 & 0 & 0 \\\\\n",
|
||||||
|
"1 & -2 & 1 & 0 & 0 \\\\\n",
|
||||||
|
"0 & 1 & -3 & 0 & 1 \\\\\n",
|
||||||
|
"0 & 0 & 0 & -2 & 1 \\\\\n",
|
||||||
|
"0 & 0 & 1 & 1 & -1\n",
|
||||||
|
"\\end{array}\\right)\\)</html>"
|
||||||
|
],
|
||||||
|
"text/latex": [
|
||||||
|
"$\\displaystyle \\left(\\begin{array}{rrrrr}\n",
|
||||||
|
"-2 & 1 & 0 & 0 & 0 \\\\\n",
|
||||||
|
"1 & -2 & 1 & 0 & 0 \\\\\n",
|
||||||
|
"0 & 1 & -3 & 0 & 1 \\\\\n",
|
||||||
|
"0 & 0 & 0 & -2 & 1 \\\\\n",
|
||||||
|
"0 & 0 & 1 & 1 & -1\n",
|
||||||
|
"\\end{array}\\right)$"
|
||||||
|
],
|
||||||
|
"text/plain": [
|
||||||
|
"[-2 1 0 0 0]\n",
|
||||||
|
"[ 1 -2 1 0 0]\n",
|
||||||
|
"[ 0 1 -3 0 1]\n",
|
||||||
|
"[ 0 0 0 -2 1]\n",
|
||||||
|
"[ 0 0 1 1 -1]"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"metadata": {},
|
||||||
|
"output_type": "display_data"
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"A1 = A.matrix_from_rows_and_columns([0 .. 4], [0 .. 4])\n",
|
||||||
|
"A1[-1, -1] = -1\n",
|
||||||
|
"show(A1)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 44,
|
||||||
|
"id": "d0872a37-ac30-4821-8c59-0a0b849f8dda",
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"data": {
|
||||||
|
"text/plain": [
|
||||||
|
"((0, 0, 0, 0, 1), (0, 0, 0, 1, 1), (0, 0, 0, 0, 3))"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"execution_count": 44,
|
||||||
|
"metadata": {},
|
||||||
|
"output_type": "execute_result"
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"Vf, Vg, Vd = [vector(QQ, 5) for i in (1, 2, 3)]\n",
|
||||||
|
"Vf[4] = Vg[3] = Vg[4] = 1\n",
|
||||||
|
"Vd[4]= 3\n",
|
||||||
|
"Vf, Vg, Vd"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 46,
|
||||||
|
"id": "cbf95cd1-1b54-4356-9a7e-3993b2a96ba9",
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": [
|
||||||
|
"n3, Nf3, Ng3, Nd3, Nhs3, Nks3, euler3, nus3, pols3 = trinomiales_general(A1, Vf, Vg, (), (), Vd, total=False)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 47,
|
||||||
"id": "469f980a-50a9-44d1-b596-96a46d33fdd4",
|
"id": "469f980a-50a9-44d1-b596-96a46d33fdd4",
|
||||||
"metadata": {},
|
"metadata": {},
|
||||||
"outputs": [],
|
"outputs": [],
|
||||||
"source": []
|
"source": [
|
||||||
|
"zetatop3, zetamon3, dic3 = zetas(n3, pols3, info=True)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": 48,
|
||||||
|
"id": "0870be50-c79c-48c9-80b7-24bfd6914737",
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [
|
||||||
|
{
|
||||||
|
"data": {
|
||||||
|
"text/plain": [
|
||||||
|
"((-41/168) * (s + 16/21)^-1 * (s + 19/24)^-1 * (s + 1)^-1 * (s^2 - 283/123*s - 304/123),\n",
|
||||||
|
" (-5/21) * (s + 16/21)^-1 * (s + 1)^-1 * (s - 16/5))"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
"execution_count": 48,
|
||||||
|
"metadata": {},
|
||||||
|
"output_type": "execute_result"
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"source": [
|
||||||
|
"zetatop.factor(), zetatop3.factor()"
|
||||||
|
]
|
||||||
},
|
},
|
||||||
{
|
{
|
||||||
"cell_type": "code",
|
"cell_type": "code",
|
||||||
@ -360,7 +863,7 @@
|
|||||||
"kernelspec": {
|
"kernelspec": {
|
||||||
"display_name": "SageMath 10.4.beta9",
|
"display_name": "SageMath 10.4.beta9",
|
||||||
"language": "sage",
|
"language": "sage",
|
||||||
"name": "sagemath-310"
|
"name": "sagemath-devel"
|
||||||
},
|
},
|
||||||
"language_info": {
|
"language_info": {
|
||||||
"codemirror_mode": {
|
"codemirror_mode": {
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user