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jmikedupont2 / monster_divisors.py
Created May 2, 2026 23:01
# Source - https://stackoverflow.com/a/70638665
# Posted by Jérôme Richard
# Retrieved 2026-04-30, License - CC BY-SA 4.0
import numba as nb
@nb.njit('List(int_)(int_)')
def get_prime_divisors(n):
divisors = []
while n % 2 == 0:
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jmikedupont2 / index.svg
Created April 22, 2026 01:41
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jmikedupont2 / index.svg
Last active April 22, 2026 01:19
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jmikedupont2 / arXiv-1503.01472v2
Created April 9, 2026 18:34
\documentclass[11pt,oneside]{article}
\usepackage{setspace,graphicx,amssymb,amsmath,latexsym,amsfonts,amscd,amsthm,multirow,ctable,mathdots,caption,array}
\usepackage{fancyhdr,tabularx,cite,mathrsfs}
\usepackage[headings]{fullpage}
\usepackage{stmaryrd}
\usepackage{rotating}
\usepackage{hyperref}
\newcommand\blfootnote[1]{%
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jmikedupont2 / orbifold.html
Created April 3, 2026 18:53
Monster Orbifold Analyzer HTML
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Monster Orbifold Analyzer</title>
<style>
@import url('https://fonts.googleapis.com/css2?family=JetBrains+Mono:wght@300;400;600&display=swap');
:root {
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jmikedupont2 / oeis_monster_ssp_.txt
Created April 3, 2026 18:42
Monster Moonshine OEIS Sequences
# Monster Moonshine OEIS Sequences
# Exponent of each SSP prime in Monster irreducible representations
# n: irrep index (0-193), value: exponent of prime in irrep n
exp_2: 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 12, 0, 0, 3, 0, 1, 2, 0, 1, 3, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 3, 1, 1, 2, 2, 18, 18, 18, 1, 1, 18, 1, 1, 5, 19, 2, 2, 0, 0, 0, 0, 5, 0, 17, 17, 12, 0, 3, 16, 6, 3, 2, 1, 3, 2, 0, 0, 0, 0, 0, 3, 0, 6, 4, 2, 31, 31, 1, 1, 2, 2, 0, 3, 1, 1, 1, 0, 1, 3, 6, 10, 18, 11, 0, 0, 0, 46, 46, 0, 1, 1, 0, 0, 3, 0, 2, 18, 4, 0, 3, 7, 2, 3, 18, 3, 13, 0, 43, 43, 43, 20, 0, 1, 1, 9, 1, 2, 42, 3, 18, 18, 21, 0, 1, 42, 1, 16, 0, 2, 28, 18, 2, 32, 2, 2, 3, 1, 0, 10, 4, 2, 18, 20, 32, 0, 0, 12, 1, 2, 1, 0, 3, 0, 18, 6, 0, 42, 12, 0, 42, 0, 0, 0, 0, 0, 44, 0, 2, 2, 0, 0, 2, 7, 0, 1, 1, 1, 46, 0
exp_3: 0, 0, 0, 0, 0, 0, 1, 1, 6, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 19, 19, 6, 0, 3, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 0, 0, 12, 12, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 7, 0, 0, 0, 1, 6, 0, 3, 3, 17, 3, 12, 0, 0, 18
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jmikedupont2 / email_oeis_draft.txt
Created April 3, 2026 18:37
Monster Moonshine OEIS email v4 (with cross-refs)
To: submit@oeis.org
Subject: New OEIS Sequences: Monster Moonshine Exponents (15 sequences from A001379)
Dear OEIS Editors,
I would like to submit 15 new integer sequences derived from the Monster group irreducible representations, related to Monstrous Moonshine.
BACKGROUND:
The Monster group is the largest sporadic simple group (order |M| ≈ 8.08×10^53). It has 194 irreducible representations with dimensions given in OEIS A001379. The j-invariant modular form coefficients decompose as weighted sums of these dimensions - this is the McKay-Thompson observation that inspired Monstrous Moonshine (Conway & Norton 1979, proven by Borcherds 1992).
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jmikedupont2 / llm.html
Created April 3, 2026 18:35
Monster Moonshine LLM Brief Generator
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Monster Moonshine LLM Brief Generator</title>
<style>
@import url('https://fonts.googleapis.com/css2?family=JetBrains+Mono:wght@300;400;600&display=swap');
:root {
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jmikedupont2 / matrix.html
Created April 3, 2026 18:35
Monster Moonshine Matrix HTML
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Monster Moonshine Matrix - SSP × 194 Irreps</title>
<style>
@import url('https://fonts.googleapis.com/css2?family=JetBrains+Mono:wght@300;400;600&display=swap');
:root {
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jmikedupont2 / oeis_data.json
Created April 3, 2026 18:32
Monster Moonshine OEIS Sequences
{"2": [0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 12, 0, 0, 3, 0, 1, 2, 0, 1, 3, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 3, 1, 1, 2, 2, 18, 18, 18, 1, 1, 18, 1, 1, 5, 19, 2, 2, 0, 0, 0, 0, 5, 0, 17, 17, 12, 0, 3, 16, 6, 3, 2, 1, 3, 2, 0, 0, 0, 0, 0, 3, 0, 6, 4, 2, 31, 31, 1, 1, 2, 2, 0, 3, 1, 1, 1, 0, 1, 3, 6, 10, 18, 11, 0, 0, 0, 46, 46, 0, 1, 1, 0, 0, 3, 0, 2, 18, 4, 0, 3, 7, 2, 3, 18, 3, 13, 0, 43, 43, 43, 20, 0, 1, 1, 9, 1, 2, 42, 3, 18, 18, 21, 0, 1, 42, 1, 16, 0, 2, 28, 18, 2, 32, 2, 2, 3, 1, 0, 10, 4, 2, 18, 20, 32, 0, 0, 12, 1, 2, 1, 0, 3, 0, 18, 6, 0, 42, 12, 0, 42, 0, 0, 0, 0, 0, 44, 0, 2, 2, 0, 0, 2, 7, 0, 1, 1, 1, 46, 0], "3": [0, 0, 0, 0, 0, 0, 1, 1, 6, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 19, 19, 6, 0, 3, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 0, 0, 12, 12, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 7, 0, 0, 0, 1, 6, 0, 3, 3, 17, 3, 12, 0, 0, 18, 18, 3, 0, 0, 0, 17, 17, 3, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 3, 9, 1, 1, 1, 1, 3, 2, 13, 13, 19, 0, 0, 3, 19, 19, 19, 19, 0, 6, 0, 0, 12, 3, 2, 9, 1, 6, 0, 6, 0, 19,