{
  "name": "phi_markov_q2",
  "certificate": {
    "order": 2,
    "depth": 128,
    "interval_nats_per_branch": [
      "440495377338643/1125899906842624",
      "118004085817165/281474976710656"
    ],
    "width": "31520965930017/1125899906842624",
    "spectral_proxy_interval": [
      "118004085817037/281474976710656",
      "118004085817165/281474976710656"
    ],
    "split_bound": 18,
    "boundary_fibre_log_error": "31520965929505/1125899906842624",
    "moment_matrix": [
      [
        "58021936384783931945423462154945200408643822586773593064809585183534478670438306546827342174149783827428767436092988115141448233969/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096",
        "5514975223718445220396051167750089790440322584981534036290522609749223455583069098723666334144282425996168191589087740745936245529/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096"
      ],
      [
        "5514975223718445220396051167750089790440322584981534036290522609749223455583069098723666334144282425996168191589087740745936245529/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256",
        "524197460707370310116187602824649518417557457621236671137180105986966723136917791144646572928202624591453356986949903026751376513/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256"
      ]
    ],
    "spectral_radius": {
      "lower": "285224894413937447024608214971918668255460181617373558971696637323212363300079053189412576252563255178365781092685886551817561074912285706275/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416",
      "upper": "142612447215241186347881775316553410879355225494347263363320619716041965564663361778080891774367127090399314185337195563292412148575047221431/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208",
      "iterations": 33,
      "method": "exact rational positive-resolvent bisection"
    },
    "diagnostics": {
      "depth": 128,
      "order": 2,
      "engine": "unit-clock integer replica",
      "max_layer_states": 14,
      "visited_layer_states": 3535,
      "exact": true,
      "truncated": false,
      "cone": {
        "bits": 57,
        "inverse_norm_upper": "161125678563890425/161125678563890424",
        "embedding_entry_width": "1/144115188075855872",
        "absorption_coefficient": "161125678563890425/11610328735042483657607663912484864",
        "excess_width_upper_beyond_rounded_cone": "60792470497801589598634485257919025/836612354636580665353180334941075251239451522760704",
        "radius_rounding_extra_upper": "1/1125899906842624",
        "neutral_embeddings": 0,
        "retains_every_exact_return": true
      }
    },
    "probabilistic": false,
    "source_stationary": true
  },
  "elapsed_seconds_observed": 0.022212707999869963
}