{
 "schema_version": 1,
 "challenge_id": "string-pluck-v1",
 "submitter": {
  "name": "Jeremy Magland",
  "email": "jmagland@flatironinstitute.org"
 },
 "date": "2026-09-17",
 "viz_url": "https://vault1.magland.org/challenges/string-solutions/site/",
 "submission_id": "modal-series",
 "description": "Truncated modal series from the appendix of the challenge README, evaluated directly at the sample instants. Exact up to truncation and floating point; the chain of truncation orders is ordered by increasing number of modes.",
 "code_url": "https://vault1.magland.org/challenges/string-solutions/blob/main/solvers/modal/modal_string.py",
 "solutions": [
  {
   "solution_id": "modal-n4",
   "output": "modal-series/modal-n4.wav",
   "method": "modal series, truncated",
   "parameters": {
    "n_modes": 4
   },
   "timing_seconds": 0.0079,
   "hardware": "13th Gen Intel(R) Core(TM) i7-1355U, single thread, Python 3.13.5 + numpy 2.4.4",
   "more_accurate_than": []
  },
  {
   "solution_id": "modal-n8",
   "output": "modal-series/modal-n8.wav",
   "method": "modal series, truncated",
   "parameters": {
    "n_modes": 8
   },
   "timing_seconds": 0.0192,
   "hardware": "13th Gen Intel(R) Core(TM) i7-1355U, single thread, Python 3.13.5 + numpy 2.4.4",
   "more_accurate_than": [
    "modal-n4"
   ]
  },
  {
   "solution_id": "modal-n16",
   "output": "modal-series/modal-n16.wav",
   "method": "modal series, truncated",
   "parameters": {
    "n_modes": 16
   },
   "timing_seconds": 0.0384,
   "hardware": "13th Gen Intel(R) Core(TM) i7-1355U, single thread, Python 3.13.5 + numpy 2.4.4",
   "more_accurate_than": [
    "modal-n8"
   ]
  },
  {
   "solution_id": "modal-n32",
   "output": "modal-series/modal-n32.wav",
   "method": "modal series, truncated",
   "parameters": {
    "n_modes": 32
   },
   "timing_seconds": 0.0714,
   "hardware": "13th Gen Intel(R) Core(TM) i7-1355U, single thread, Python 3.13.5 + numpy 2.4.4",
   "more_accurate_than": [
    "modal-n16"
   ]
  },
  {
   "solution_id": "modal-n64",
   "output": "modal-series/modal-n64.wav",
   "method": "modal series, truncated",
   "parameters": {
    "n_modes": 64
   },
   "timing_seconds": 0.1264,
   "hardware": "13th Gen Intel(R) Core(TM) i7-1355U, single thread, Python 3.13.5 + numpy 2.4.4",
   "more_accurate_than": [
    "modal-n32"
   ]
  },
  {
   "solution_id": "modal-n256",
   "output": "modal-series/modal-n256.wav",
   "method": "modal series, truncated",
   "parameters": {
    "n_modes": 256
   },
   "timing_seconds": 0.5771,
   "hardware": "13th Gen Intel(R) Core(TM) i7-1355U, single thread, Python 3.13.5 + numpy 2.4.4",
   "more_accurate_than": [
    "modal-n64"
   ]
  },
  {
   "solution_id": "modal-n1024",
   "output": "modal-series/modal-n1024.wav",
   "method": "modal series, truncated",
   "parameters": {
    "n_modes": 1024
   },
   "timing_seconds": 2.3304,
   "hardware": "13th Gen Intel(R) Core(TM) i7-1355U, single thread, Python 3.13.5 + numpy 2.4.4",
   "fields": {
    "path": "modal-series/modal-n1024.h5",
    "format": "hdf5"
   },
   "more_accurate_than": [
    "modal-n256"
   ]
  }
 ]
}