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collatz: update hensel chain leaves shifted script and certs

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**Motivations:**
- Sync certs_shifted artefacts and minor script fix.

**Root causes:** N/A
**Correctifs:** N/A
**Evolutions:**
- collatz_build_hensel_chain_leaves_shifted.py
- docs/artefacts/collatz/refinement_K/.../certs_shifted/*.json

**Pages affectées:**
- applications/collatz/collatz_k_scripts/collatz_build_hensel_chain_leaves_shifted.py
- docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/
This commit is contained in:
ncantu 2026-03-10 12:52:10 +01:00
parent a8d234c072
commit b2d3332ced
2399 changed files with 103090 additions and 349 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

77
applications/collatz/collatz_k_scripts/collatz_build_hensel_chain_leaves_shifted.py
View File

@ -15,6 +15,7 @@ from __future__ import annotations
import argparse
import hashlib
import json
import re
from dataclasses import dataclass
from pathlib import Path
@ -147,12 +148,82 @@ def _leaf_for_sibling(*, residue: int, m: int, k_max: int, t_max: int) -> Leaf |
return d if (d.threshold, d.k_or_t) <= (f.threshold, f.k_or_t) else f
def _load_leaf_sets(*, leaf_json_paths: list[Path]) -> tuple[dict[int, set[int]], dict[tuple[int, int], Leaf]]:
"""Load leaf sets and D_minor leaf map from JSON paths."""
leaves_by_m: dict[int, set[int]] = {}
class _ResidueBitset:
"""Compact bitset for odd residues at palier m."""
def __init__(self, palier: int) -> None:
self.palier = palier
size = 1 << (palier - 1)
self._bits = bytearray(size >> 3)
if size & 7:
self._bits.append(0)
def add(self, r: int) -> None:
if r <= 0 or (r % 2) == 0:
return
idx = r >> 1
if idx < len(self._bits) * 8:
self._bits[idx >> 3] |= 1 << (idx & 7)
def __contains__(self, r: object) -> bool:
if not isinstance(r, int) or r <= 0 or (r % 2) == 0:
return False
idx = r >> 1
if idx >= len(self._bits) * 8:
return False
return (self._bits[idx >> 3] >> (idx & 7)) & 1 != 0
def update(self, it: object) -> None:
if isinstance(it, _ResidueBitset):
for i in range(len(self._bits)):
self._bits[i] |= it._bits[i]
else:
for r in it:
self.add(r)
def _load_residues_streaming(residues_path: Path, palier: int) -> set[int] | _ResidueBitset:
"""Load residues from .residues.json without loading full list in memory."""
try:
import ijson
except ImportError:
with residues_path.open("r", encoding="utf-8") as f:
obj = json.load(f)
res_list = obj.get("residues", []) if isinstance(obj, dict) else []
if palier >= 20:
out = _ResidueBitset(palier)
for r in res_list:
if isinstance(r, int):
out.add(r)
return out
return set(r for r in res_list if isinstance(r, int))
with residues_path.open("rb") as f:
residues: set[int] | _ResidueBitset = _ResidueBitset(palier) if palier >= 20 else set()
f.seek(0)
for r in ijson.items(f, "residues.item"):
if isinstance(r, (int, float)):
residues.add(int(r))
return residues
def _load_leaf_sets(*, leaf_json_paths: list[Path]) -> tuple[dict[int, set[int] | _ResidueBitset], dict[tuple[int, int], Leaf]]:
"""Load leaf sets and D_minor leaf map. Uses .residues.json when available for terminal clauses."""
leaves_by_m: dict[int, set[int] | _ResidueBitset] = {}
dminor_leaf_map: dict[tuple[int, int], Leaf] = {}
for p in leaf_json_paths:
residues_path = p.with_name(p.stem + ".residues.json")
if "clauses_terminal" in p.name and residues_path.exists():
with residues_path.open("rb") as f:
head = f.read(80)
match = re.search(rb'"palier"\s*:\s*(\d+)', head)
if match:
palier = int(match.group(1))
residues = _load_residues_streaming(residues_path, palier)
if palier not in leaves_by_m:
leaves_by_m[palier] = _ResidueBitset(palier) if palier >= 20 else set()
leaves_by_m[palier].update(residues)
continue
obj = _read_json(p)
if not isinstance(obj, dict):
continue

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1000167_r18_475879_k10_to2p16.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1000167,
"r18_parent": 475879,
"k": 10,
"m_end": 16
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 16,
"v2_L_r19": 20,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 16,
"residue_mod_2p": 1000167,
"k_or_t": 10,
"A": null,
"threshold": 14,
"extra": {
"k": 10,
"underlineA": 16,
"A_km1": 12,
"C_km1": 26923,
"B_k": 84865
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1000191_r18_475903_k11_to2p18.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1000191,
"r18_parent": 475903,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 20,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1000191,
"k_or_t": 11,
"A": null,
"threshold": 3,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 14,
"C_km1": 60329,
"B_k": 197371
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1000699_r18_476411_k10_to2p16.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1000699,
"r18_parent": 476411,
"k": 10,
"m_end": 16
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 16,
"v2_L_r19": 20,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 16,
"residue_mod_2p": 1000699,
"k_or_t": 10,
"A": null,
"threshold": 20,
"extra": {
"k": 10,
"underlineA": 16,
"A_km1": 14,
"C_km1": 37231,
"B_k": 128077
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1001723_r18_1001723_k11_to2p18.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 21,
"r19_chain": 1001723,
"r18_parent": 1001723,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 24,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1001723,
"k_or_t": 11,
"A": null,
"threshold": 5,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 15,
"C_km1": 118861,
"B_k": 389351
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1001723_r18_477435_k11_to2p18.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1001723,
"r18_parent": 477435,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 24,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1001723,
"k_or_t": 11,
"A": null,
"threshold": 5,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 15,
"C_km1": 118861,
"B_k": 389351
}
}
}
}

2
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_100187_r18_100187_k10_to2p16.json
View File

@ -1,6 +1,6 @@
{
"domain": {
"start_m": 19,
"start_m": 21,
"r19_chain": 100187,
"r18_parent": 100187,
"k": 10,

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1002215_r18_477927_k11_to2p18.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1002215,
"r18_parent": 477927,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 20,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1002215,
"k_or_t": 11,
"A": null,
"threshold": 4,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 14,
"C_km1": 82817,
"B_k": 264835
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1003239_r18_1003239_k9_to2p15.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 21,
"r19_chain": 1003239,
"r18_parent": 1003239,
"k": 9,
"m_end": 15
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 15,
"v2_L_r19": 24,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 15,
"residue_mod_2p": 1003239,
"k_or_t": 9,
"A": null,
"threshold": 3,
"extra": {
"k": 9,
"underlineA": 15,
"A_km1": 12,
"C_km1": 8633,
"B_k": 29995
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1003239_r18_478951_k9_to2p15.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1003239,
"r18_parent": 478951,
"k": 9,
"m_end": 15
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 15,
"v2_L_r19": 24,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 15,
"residue_mod_2p": 1003239,
"k_or_t": 9,
"A": null,
"threshold": 3,
"extra": {
"k": 9,
"underlineA": 15,
"A_km1": 12,
"C_km1": 8633,
"B_k": 29995
}
}
}
}

2
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_100519_r18_100519_k11_to2p18.json
View File

@ -1,6 +1,6 @@
{
"domain": {
"start_m": 19,
"start_m": 21,
"r19_chain": 100519,
"r18_parent": 100519,
"k": 11,

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1005287_r18_1005287_k11_to2p18.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 21,
"r19_chain": 1005287,
"r18_parent": 1005287,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 21,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1005287,
"k_or_t": 11,
"A": null,
"threshold": 4,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 14,
"C_km1": 87937,
"B_k": 280195
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1005287_r18_480999_k11_to2p18.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1005287,
"r18_parent": 480999,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 21,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1005287,
"k_or_t": 11,
"A": null,
"threshold": 4,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 14,
"C_km1": 87937,
"B_k": 280195
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1009739_r18_1009739_k3_to2p5.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 21,
"r19_chain": 1009739,
"r18_parent": 1009739,
"k": 3,
"m_end": 5
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 5,
"v2_L_r19": 21,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 5,
"residue_mod_2p": 1009739,
"k_or_t": 3,
"A": null,
"threshold": 5,
"extra": {
"k": 3,
"underlineA": 5,
"A_km1": 3,
"C_km1": 5,
"B_k": 23
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1009739_r18_485451_k3_to2p5.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1009739,
"r18_parent": 485451,
"k": 3,
"m_end": 5
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 5,
"v2_L_r19": 21,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 5,
"residue_mod_2p": 1009739,
"k_or_t": 3,
"A": null,
"threshold": 5,
"extra": {
"k": 3,
"underlineA": 5,
"A_km1": 3,
"C_km1": 5,
"B_k": 23
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1010715_r18_486427_k10_to2p16.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1010715,
"r18_parent": 486427,
"k": 10,
"m_end": 16
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 16,
"v2_L_r19": 20,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 16,
"residue_mod_2p": 1010715,
"k_or_t": 10,
"A": null,
"threshold": 14,
"extra": {
"k": 10,
"underlineA": 16,
"A_km1": 12,
"C_km1": 28687,
"B_k": 90157
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1011431_r18_1011431_k11_to2p18.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 21,
"r19_chain": 1011431,
"r18_parent": 1011431,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 23,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1011431,
"k_or_t": 11,
"A": null,
"threshold": 4,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 14,
"C_km1": 98177,
"B_k": 310915
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1011431_r18_487143_k11_to2p18.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1011431,
"r18_parent": 487143,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 23,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1011431,
"k_or_t": 11,
"A": null,
"threshold": 4,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 14,
"C_km1": 98177,
"B_k": 310915
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1012763_r18_488475_k11_to2p18.json Normal file
View File

@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1012763,
"r18_parent": 488475,
"k": 11,
"m_end": 18
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 18,
"v2_L_r19": 20,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 18,
"residue_mod_2p": 1012763,
"k_or_t": 11,
"A": null,
"threshold": 4,
"extra": {
"k": 11,
"underlineA": 18,
"A_km1": 14,
"C_km1": 88109,
"B_k": 280711
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1013787_r18_1013787_k9_to2p15.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 21,
"r19_chain": 1013787,
"r18_parent": 1013787,
"k": 9,
"m_end": 15
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 15,
"v2_L_r19": 21,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 15,
"residue_mod_2p": 1013787,
"k_or_t": 9,
"A": null,
"threshold": 3,
"extra": {
"k": 9,
"underlineA": 15,
"A_km1": 12,
"C_km1": 9221,
"B_k": 31759
}
}
}
}

34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1013787_r18_489499_k9_to2p15.json Normal file
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@ -0,0 +1,34 @@
{
"domain": {
"start_m": 20,
"r19_chain": 1013787,
"r18_parent": 489499,
"k": 9,
"m_end": 15
},
"params": {
"k_leaf_max": 256,
"t_leaf_max": 256,
"k_chain_max": 80
},
"chain": {
"u_min": 15,
"v2_L_r19": 21,
"steps": [],
"final": {
"kind": "D_minor",
"modulus_power": 15,
"residue_mod_2p": 1013787,
"k_or_t": 9,
"A": null,
"threshold": 3,
"extra": {
"k": 9,
"underlineA": 15,
"A_km1": 12,
"C_km1": 9221,
"B_k": 31759
}
}
}
}

2
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34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1047207_r18_522919_k10_to2p16.json Normal file
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34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1047231_r18_1047231_k11_to2p18.json Normal file
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34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1047231_r18_522943_k11_to2p18.json Normal file
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34
docs/artefacts/collatz/refinement_K/palier2p15/hensel_chain_leaves/certs_shifted/hensel_shifted_r19_1047663_r18_523375_k11_to2p18.json Normal file
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