{
  "base": {
    "variant": "base",
    "grid": "12x12",
    "qubits": 576,
    "cells": 144,
    "hot_boxes": [
      0,
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9,
      10
    ],
    "not_box": 11,
    "gov_angle": 1.9416110387254664,
    "shots": 1000,
    "two_qubit_gates": 707,
    "qasm_sha256": "55f3c8fbcc5baa6da0d6b7d35ae676375ef23093f376bbc3ed54837de2167d21",
    "Q_L": 2.9846074138,
    "N_eq_4Gsq": true,
    "sqrt_amplitude": 24,
    "invertible": true,
    "ts": "2026-09-15T20:28:52.848471+00:00",
    "authority": "Joshua Lopez \u2014 DCGP.AI LLC \u2014 USPTO 19/555,951",
    "receipt_sha256": "628e376b1fcf324c6e44817a5be6cd94631b72e757081b7c53ce50af8a9680a7"
  },
  "squared": {
    "variant": "squared",
    "grid": "12x12",
    "qubits": 576,
    "cells": 144,
    "hot_boxes": [
      0,
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9,
      10
    ],
    "not_box": 11,
    "gov_angle": 1.9416110387254664,
    "shots": 1000,
    "two_qubit_gates": 839,
    "qasm_sha256": "15fb4098e4d69a4b9165531da54beeda410967ff985e6d2f2110d6e7ad5a4b27",
    "Q_L": 1.6666669312,
    "N_eq_4Gsq": true,
    "sqrt_amplitude": 24,
    "invertible": true,
    "ts": "2026-09-15T20:28:52.849615+00:00",
    "authority": "Joshua Lopez \u2014 DCGP.AI LLC \u2014 USPTO 19/555,951",
    "receipt_sha256": "fc6f17aa05b7bd21050c6d7117fa3e4dda7fb3ab5a4ecfbd80d1c710b2437e6e"
  },
  "root": {
    "variant": "root",
    "grid": "12x12",
    "qubits": 576,
    "cells": 144,
    "hot_boxes": [
      0,
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9,
      10
    ],
    "not_box": 11,
    "gov_angle": 1.9416110387254664,
    "shots": 1000,
    "two_qubit_gates": 707,
    "qasm_sha256": "96d614ecb09db8fe34454001e4f4e2e978625acc01811f26d681720cf8d655a0",
    "Q_L": 2.9846074138,
    "N_eq_4Gsq": true,
    "sqrt_amplitude": 24,
    "invertible": true,
    "ts": "2026-09-15T20:28:52.850403+00:00",
    "authority": "Joshua Lopez \u2014 DCGP.AI LLC \u2014 USPTO 19/555,951",
    "receipt_sha256": "4c34c86330388804f07895948558350970d7e67bde7f6a33d024ef31de38496d"
  },
  "square_root": {
    "base_576_sha": "55f3c8fbcc5baa6da0d6b7d35ae676375ef23093f376bbc3ed54837de2167d21",
    "squared_sha": "15fb4098e4d69a4b9165531da54beeda410967ff985e6d2f2110d6e7ad5a4b27",
    "root_sha": "96d614ecb09db8fe34454001e4f4e2e978625acc01811f26d681720cf8d655a0",
    "576_is_24_squared": true,
    "N_4Gsq_G12": true,
    "operation": "square: base -> squared (nested). root: squared -> base. fully invertible.",
    "Q_conserved": "Lopez-Noether Q_L conserved across square/root (dQ_L/dt = 0)"
  }
}