operator inputs.json

{
  "status": "Preparation only; no numbered research actions. Literal source packet, not canonical edits.",
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      "text": "The active Enochian Key-of-23 operator is `300/299`, the third allowable ratio after `25/23` and `70/69`. It means that `300 \u00d7 364` Enochian days nearly equals `299 \u00d7 365.2422` true-solar days. The legacy `299/300` label is retained only as source-history / inverse wording where it appears. Do not make `299/300` the operative conversion ratio.\n"
    },
    {
      "source": "file46",
      "lines": [
        84,
        133
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      "text": "### L1. The 4830 base span\n\nActive state: Enoch pivot state (`File_45`); solar same-side span.\n\n```markdown\n4836 BC \u2192 6 BC = 4836 \u2212 6 = 4830\n```\n\nThe `4830` span from the Enoch pivot to the `6 BC` Christ-generation hinge is the base input to both expansion operators below.\n\nState note:\n`4830` here is a solar same-side span value. It is not an Enochian-calendar constant; the Enochian calendar family (`364`; `1274 = 3.5 \u00d7 364`) is a separate state controlled elsewhere.\n\n### L2. Prophetic Ratio (70/69)\n\nActive state: Key-of-23 Prophetic Expansion state.\n\n```markdown\n4830 \u00d7 70/69 = 4900\n```\n\nbecause `4830/69 = 70` and `70 \u00d7 70 = 4900`.\n\nTherefore:\n\n```markdown\n4836 BC \u2192 AD 65 = 4900\n```\n\nsince `4836 + 65 \u2212 1 = 4900`.\n\nThe source associates this operator with Jared (the Jared / Prophetic expansion); the association is developed in \u00a74.2.\n\n### L3. Priestly Ratio (25/23)\n\nActive state: Key-of-23 Priestly Expansion state.\n\n```markdown\n4830 \u00d7 25/23 = 5250\n```\n\nbecause `4830/23 = 210` and `210 \u00d7 25 = 5250`.\n\nTherefore:\n\n```markdown\n5256 BC \u2192 6 BC = 5256 \u2212 6 = 5250\n```\n\nThe source associates this operator with Luke (the Luke / Priestly expansion); the association is developed in \u00a74.2."
    },
    {
      "source": "file46",
      "lines": [
        148,
        245
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      "text": "## 2. Generator Locks: Solomon and Christ\n\n### 2.1 Solomon expansion (Priestly operator from deep time)\n\nActive state: Priestly Ratio `25/23`; cumulative deep-time anchor `14006 BC` by `File_22` dependency; Matthew-side display ledger (`File_43` 70-year carrier display; source wording: \"Matthew shadow lattice\").\n\nGoal: generate `1756 BC`, the end of Solomon's 70-year carrier (`1826\u20131756 BC`), by applying the Priestly operator to the deep-time \u2192 Abraham boundary span.\n\n| Step | Value |\n|---|---|\n| Anchor | `14006 BC` |\n| Intermediate endpoint | `2736 BC` \u2014 end of the Abraham generation (`2806\u20132736 BC`) in the Matthew-side display ledger |\n| Input span | `14006 \u2212 2736 = 11270` |\n| Operator | Priestly expansion `25/23` |\n| Expanded span | `11270 \u00d7 25/23 = 12250`, because `11270/23 = 490` and `490 \u00d7 25 = 12250` |\n| Projected endpoint | `14006 \u2212 12250 = 1756 BC` |\n| Expansion delta | `12250 \u2212 11270 = 980 = 14 \u00d7 70` |\n\nLattice placement:\n`1756 BC` is the end of Solomon's 70-year carrier (`1826\u20131756 BC`) in the `File_43` display ledger.\n\nClaim-status note:\nThe span chain is arithmetic fact under the stated operator. The identification of the projected endpoint with the Solomon carrier boundary is structural inference controlled by the `File_43` ledger. \"Lock\" in this file's source is a legacy label for these lattice placements; it is not the `File_33` Value Lock or Ordinal Lock state.\n\n### 2.2 Christ-generation generator (Prophetic operator from the Enoch pivot)\n\nActive state: Prophetic Ratio `70/69`; Enoch pivot state `4836 BC`.\n\nGoal: generate the AD 65 terminus of the Christ generation from the Enoch pivot.\n\n| Step | Value |\n|---|---|\n| Anchor | `4836 BC` (Enoch pivot) |\n| Input span (solar) | `4836 BC \u2192 6 BC = 4830` |\n| Operator | Prophetic expansion `70/69` |\n| Expanded span | `4830 \u00d7 70/69 = 4900` |\n| Endpoint | `4836 BC \u2192 AD 65 = 4900`, because `4836 + 65 \u2212 1 = 4900` |\n\nLattice placement:\nAD 65 is the end of the Christ generation (`6 BC \u2192 AD 65`) in the 70-year lattice framing of `File_43`.\n\n## 3. The 9660 Dual Expansion: Adam and Noah/Shem\n\nDefine the doubled base span:\n\n```markdown\n9660 = 2 \u00d7 4830\n```\n\n### 3.1 Prophetic track \u2014 Matthew-side Adam at 4206 BC\n\nActive state: Prophetic Ratio `70/69`; deep-time anchor `14006 BC`; Matthew-side display ledger.\n\n| Step | Value |\n|---|---|\n| Input | `9660` |\n| Operator | `70/69` |\n| Expanded span | `9660 \u00d7 70/69 = 9800`, because `9660/69 = 140` and `140 \u00d7 70 = 9800` |\n| Endpoint from deep time | `14006 \u2212 9800 = 4206 BC` |\n\nLattice placement:\n`4206 BC` opens the Matthew-side display bracket \"Creation of Adam\" (`4206\u20134136 BC`) in the `File_43` ledger.\n\n### 3.2 Priestly track \u2014 Noah/Shem hinge at 3506 BC\n\nActive state: Priestly Ratio `25/23`; deep-time anchor `14006 BC`; Matthew-side display ledger.\n\n| Step | Value |\n|---|---|\n| Input | `9660` |\n| Operator | `25/23` |\n| Expanded span | `9660 \u00d7 25/23 = 10500`, because `9660/23 = 420` and `420 \u00d7 25 = 10500` |\n| Endpoint from deep time | `14006 \u2212 10500 = 3506 BC` |\n\nLattice placement:\n`3506 BC` is the Noah/Shem hinge boundary \u2014 end of the Noah generation (`3576\u20133506 BC`), start of the Shem generation (`3506\u20133436 BC`) \u2014 on the Matthew side of the `File_43` ledger.\n\n## 4. The Rosetta Stone: 3-Calendar Resolution\n\nSection-heading note:\n\"Rosetta Stone\" is retained as a legacy theorem label; its evidential role is supplied by the claim-status notes below.\n\n### 4.1 One fixed solar span\n\n```markdown\n4836 BC \u2192 6 BC = 4830 solar years\n```\n\n### 4.2 Three translations of the same 4830 span\n\n| Translation | Operator | Result | Matching lattice span |\n|---|---|---|---|\n| Solar (Enoch) | none | `4830` | `4836 BC \u2192 6 BC = 4830` |\n| Prophetic (Jared) | `70/69` | `4830 \u00d7 70/69 = 4900` | `4906 BC \u2192 6 BC = 4900` |\n| Priestly (Luke) | `25/23` | `4830 \u00d7 25/23 = 5250` | `5256 BC \u2192 6 BC = 5250` |\n\nNode-class note:\n`4906 BC` is the opening boundary of Luke's Jared generation, and `5256 BC` is Luke's Adam-Creation ledger boundary (`LukeIntervals` lock endpoint), per `File_43` and `File_54`. The correspondence of each expanded value to a lattice boundary is structural inference."
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      "lines": [
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      "text": "### 6A.3 Double-expansion licensing and the appendix example\n\nA span divisible by `23\u00b2` admits two successive integral `25/23` expansions. This operator fact remains in the main body. The particular LXX `777`-overlay example formerly here, including its onward conversions, is retained in Appendix A.3 and is not independent main-chain evidence.\n\n### 6A.4 The cross-track `2300` and the Jared span\n\n```markdown\n8048 BC (Lamech Flood node, Moses member) \u2192 5748 BC (Arphaxad Flood node, Aaron member) = 2300\n10349 BC (Jared span head) \u2192 5748 BC = 4601 = 2301 + 2300 = 4000 + 1 + 600\n```\n\nMember selections are author-declared: Jared's span head; Lamech's Moses member; Arphaxad's Aaron member. The `+1` is the Flood-year inclusive device \u2014 Noah \"in the 600th year\u2026 in the 601st\" (Gen. 7:11; 8:13) \u2014 which warrants the head-member selection; Shem's `600` stands in for Noah's `600` in the stacked frame. Device recurrence: the SP regular's inclusive-600th `\u22121` (`File_18`) is the same instrument seen from the other side. Claim-status: arithmetic fact (spans); textual datum (the device); structural inference (selection and substitution).\n\n### 6A.5 The Adam-field expansion\n\n```markdown\nHeads: 14896 / 14466 / 14436 / 14006 BC = 430 + 30 + 430\nApparent head 14926 BC: 30 + 400 + 30 + 30 + 400 + 30 = 920;   920 \u00d7 25/23 = 1000\n```\n"
    },
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      "source": "file51a",
      "lines": [
        26,
        66
      ],
      "text": "## Author clarification \u2014 Rounded coordinates and civil spans (20260925)\n\nAuthor clarification: Dean, September 25 2026. Scope: the pure Rounded coordinate and display convention in Files 51a, 51b, 52a, and 52b. The choice to use a civil count as an input to a particular mixed inverse/expansion construction remains explicit and provisional.\n\nThe Rounded calculation takes place on signed multiples of five. Write its coordinate as $q$:\n\n$$q(B\\text{ BC})=-(B-1),\\qquad q(\\text{AD }A)=A-1.$$\n\nReflection sends $q$ to $-q$. Display a nonzero coordinate with the numeral $|q|+1$ and the era indicated by its sign. Thus $-1405$ displays as **1406 BC**, and $+1405$ displays as **AD 1406**. Pure Rounded date labels end in **1 or 6** on both sides; their coordinates end in **0 or 5**. Zero denotes the algebraic Mirror origin and does not introduce a civil year zero. These labels do not acquire Tishri/Nisan phases merely from their final digits.\n\nFor opposite-side displayed labels, distinguish two quantities:\n\n$$W_R=q(\\text{AD }A)-q(B\\text{ BC})=B+A-2,$$\n$$C=B+A-1=W_R+1.$$\n\n$W_R$ is the Rounded coordinate width. $C$ is the ordinary civil elapsed-year count between those same printed BC/AD numerals. The label mapping is therefore a Rounded display convention, not a single ordinary astronomical-year coordinate map. Use the appropriate count explicitly; do not transfer the extra year into a coordinate calculation silently.\n\n| Rounded coordinates | Symmetric displayed labels | Coordinate width $W_R$ | Literal civil count $C$ |\n|---|---|---:|---:|\n| $-1405\\rightarrow+1405$ | 1406 BC \u2192 AD 1406 | 2810 | 2811 |\n| $-14010\\rightarrow+14005$ | 14011 BC \u2192 AD 14006 | 28015 | 28016 |\n| $-8605\\rightarrow+1445$ | 8606 BC \u2192 AD 1446 | 10050 | 10051 |\n| $-41005\\rightarrow+14010$ | 41006 BC \u2192 AD 14011 | 55015 | 55016 |\n\nThe last row begins at **41006 BC**, not 14006 BC. Accordingly, Dean's example is:\n\n$$14010-(-41005)=55015,\\qquad41006+14011-1=55016.$$\n\nThe selected civil-count conversion chains are:\n\n$$10051=19\\times529\\xrightarrow{25/23}10925\\xrightarrow{25/23}11875,$$\n$$55016=104\\times529\\xrightarrow{25/23}59800\\xrightarrow{25/23}65000,$$\n$$59800=200\\times299\\xrightarrow{300/299}60000.$$\n\nThese are exact conversions of $C$, not of the neighboring coordinate widths 10050 and 55015. Their arithmetic alone does not establish the proposed inverse system as a third geometric axis.\n\nWhen a converted duration is subsequently applied on the Rounded grid, calculate with $q$ and restore the date label afterward. In Dean's separately stated launch from **14006 BC**:\n\n$$-14005+59800=+45795\\quad\\longrightarrow\\quad\\boxed{\\text{AD }45796}.$$\n\nHere the coordinate width is **59800**; the literal civil count between the displayed labels 14006 BC and AD 45796 is **59801**. The starting anchor is declared separately from the original 41006 BC \u2192 AD 14011 span that generated the converted duration."
    },
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      "text": "### 1.1 The ordered carrier pair\n\nDefine the ordered scalar pair:\n\n```text\nU=(40, 40.25)\n```\n\nThe first member is the authorized Mosaic generational unit:\n\n```text\n40=7+33.\n```\n\nThe second member is File_62\u2019s quarter-year phase refinement:\n\n```text\n40.25=40+0.25=161/4.\n```\n\nThe ordered-pair notation preserves the relation without redefining the authorized unit. `40.25` is a phase comparison scalar, not a fourth File_15 generational unit.\n\n### 1.2 The multiplier ladder\n\nMultiplying both members of `U` by the same declared scalar produces parallel whole-year and phase-refined bodies:\n\n| Multiplier | Whole-year body | Quarter-phase body | Phase excess | Principal File_63 use |\n|---:|---:|---:|---:|---|\n| `3` | `120` | `120.75` | `0.75` | Moses\u2019 life / conception envelope |\n| `10` | `400` | `402.5` | `2.5` | one decuple Mosaic block |\n| `12` | `480` | `483` | `3` | twelve-generation / twelve-male carrier |\n| `30` | `1200` | `1207.5` | `7.5` | Abraham-to-Temple body plus construction |\n| `300` | `12000` | `12075` | `75` | cumulative macro-head translation |\n\nThe exact identities are:\n\n```text\n3\u00d740=120\n3\u00d740.25=120.75\n\n12\u00d740=480\n12\u00d740.25=483\n\n30\u00d740=1200\n30\u00d740.25=1207.5\n\n300\u00d740=12000\n300\u00d740.25=12075\n```\n\nThe phase excess scales with the body:\n\n```text\n0.75 \u2192 7.5 \u2192 75\n```\n\nunder successive decimal dilation.\n\n### 1.3 The `480/483/490` completion classes\n\nThe carrier family contains three non-collapsible completion states:\n\n```text\n480=12\u00d740\n483=12\u00d740.25=480+3=3\u00d7161=69\u00d77\n490=70\u00d77.\n```\n\nThe difference between the whole-year and quarter-phase carriers is distributive:\n\n```text\n483\u2212480=3=12\u00d70.25.\n```\n\nThus the `3`-year tail is not an unrelated addition. It is the aggregate of twelve quarter-year increments.\n\nThe Prophetic Key completes the sixty-nine-week carrier:\n\n```text\n483\u00d770/69=490.\n```\n\nThe Priestly Key acts differently:\n\n```text\n483\u00d725/23=525.\n```\n\nThe two expanded values become calendar-equivalent day volumes only after their calendars are declared:\n\n```text\n525\u00d7336=176400\n490\u00d7360=176400.\n```\n\nFile_62 also supplies the local-subset Priestly route:\n\n```text\n402.5+80.5=483\n80.5\u00d725/23=87.5\n402.5+87.5=490.\n```\n\nThe common endpoint `490` does not identify the Priestly and Prophetic operators. One expands a declared subset; the other expands the whole `69\u00d77` carrier."
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      "text": "## Appendix K. Christological Double-Generation and `21/49/76` Translation Hierarchy\n\nAppendix K is the human-readable execution layer for the concluding August 15 clarification. The prior `62/62` arithmetic and `16/16` claim-control audit remains source history for the Enochic `49` and Christ-envelope portions; its Luke-`77` subset is superseded by the present bounded Luke-`76` correction.\n\n### K.1 Double-generation blocks\n\n| Carrier | Joshua block | Enochic block | Jesus block | Block length |\n|---|---|---|---|---:|\n| Primary `70` | `1476\u21921406\u21921336 BC` | `3436\u21923366\u21923296 BC` | `6 BC\u2192AD 65\u2192AD 135` | `140=2\u00d770` |\n| Companion `72` | `1520\u21921448\u21921376 BC` | `3536\u21923464\u21923392 BC` | `8 BC\u2192AD 65\u2192AD 137` | `144=2\u00d772` |\n\nThe Joshua and Enochic blocks occupy different translation depths even though both terminate on the same Jesus double-generation block.\n\n### K.2 Joshua `21`-generation corresponding-boundary translations\n\n| Carrier | Left boundary | Hinge | Right boundary | Common span |\n|---|---:|---:|---:|---:|\n| `70` | `1476 BC\u21926 BC` | `1406 BC\u2192AD 65` | `1336 BC\u2192AD 135` | `1470=3\u00d7490=21\u00d770` |\n| `72` | `1520 BC\u21928 BC` | `1448 BC\u2192AD 65` | `1376 BC\u2192AD 137` | `1512=3\u00d7504=21\u00d772` |\n\nThe carrier difference is:\n\n```text\n1512 \u2212 1470\n= 42\n= 3 \u00d7 14\n= 21 \u00d7 2.\n```\n\nThe count is:\n\n```text\n3 weeks \u00d7 7 generations\n= 21 generations.\n```\n\n### K.3 Enochic `49`-generation corresponding-boundary translations\n\n#### Primary `70`\n\n```text\n3436 BC \u2192 3366 BC \u2192 3296 BC\n    \u21933430      \u21933430      \u21933430\n  6 BC \u2192    AD 65 \u2192    AD 135\n```\n\n```text\n3430\n= 49 \u00d7 70\n= 7 \u00d7 490.\n```\n\n#### Companion `72`\n\n```text\n3536 BC \u2192 3464 BC \u2192 3392 BC\n    \u21933528      \u21933528      \u21933528\n  8 BC \u2192    AD 65 \u2192    AD 137\n```\n\n```text\n3528\n= 49 \u00d7 72\n= 7 \u00d7 504.\n```\n\nThe Enochic count is:\n\n```text\n7 weeks \u00d7 7 generations\n= 49 generations.\n```\n\n### K.4 Luke-derived `76`-generation corresponding-boundary translation\n\n| Lukan opening boundary | Jesus corresponding boundary | Span |\n|---|---|---:|\n| figurative God pre-head `5326 BC` | Christ birth hinge `6 BC` | `5320=76\u00d770` |\n| Adam head `5256 BC` | Jesus first-generation close `AD 65` | `5320=76\u00d770` |\n| Adam-generation close `5186 BC` | Jesus second-generation close `AD 135` | `5320=76\u00d770` |\n\nThe ordered blocks are:\n\n```text\n5326 BC \u2192 5256 BC \u2192 5186 BC\n    \u21935320      \u21935320      \u21935320\n  6 BC \u2192    AD 65 \u2192    AD 135\n```\n\n```text\n5320\n= 76 \u00d7 70.\n```\n\nThe three boundaries on each side advance by one `70`-year generation. File_68 records only this exact translation. The explanation of why Luke's backward schematic motion yields `76` rather than `77` is developed in Final File_69.\n\n### K.5 The inverse terminal `\u2212110` Christ envelope\n\nThe generated second-generation closes project backward by the inverse rail:\n\n```text\nAD 135 \u2212 110 = AD 25\nAD 137 \u2212 110 = AD 27.\n```\n\nThe complete head envelope is:\n\n```text\n8 BC \u2192 6 BC \u2192 AD 25 \u2192 AD 27\n   2        30         2\n\n2 + 30 + 2 = 34.\n```\n\nThe middle `30` is the primary civil span:\n\n```text\n6 BC \u2192 AD 25\n= 30.\n```\n\nThe companion head and close supply the two-year outer flanks. This is a cross-rail envelope, not one ordinary generation.\n\n### K.6 Forwarded seven-year endpoints\n\nThe Creation-week envelope is advanced seven elapsed years from every Christ endpoint:\n\n| Carrier | No-rail head | Forwarded close | Inverse-rail head | Forwarded close |\n|---|---:|---:|---:|---:|\n| Primary `70` | `6 BC` | `AD 2` | `AD 25` | `AD 32` |\n| Companion `72` | `8 BC` | `1 BC` | `AD 27` | `AD 34` |\n\nThus the furthest endpoints are:\n\n```text\nno rail:       1 BC / AD 2\ninverse rail:  AD 32 / AD 34.\n```\n\nThey preserve the same envelope:\n\n```text\n1 BC \u2192 AD 2 \u2192 AD 32 \u2192 AD 34\n  2         30         2\n\n2 + 30 + 2 = 34.\n```\n\nNo year zero is used. The `+7` closes are week-of-years endpoints, not carrier termini or Passion dates.\n\n### K.7 The `21/49/76` non-collapse hierarchy\n\n| Layer | Count | Primary span | Companion span | Local burden |\n|---|---:|---:|---:|---|\n| Joshua | `21=3\u00d77` | `1470=21\u00d770` | `1512=21\u00d772` | three-week overlapping field |\n| Enoch | `49=7\u00d77` | `3430=49\u00d770` | `3528=49\u00d772` | seven-week-core field |\n| Luke | `76` | `5320=76\u00d770` | deferred | backward God/Adam double-generation translation |\n\nThe `21`, `49`, and `77` counts are nested comparative depths. They are not interchangeable and do not constitute three independent textual genealogies.\n\n### K.8 Claim ceiling and File_69 boundary\n\n- `AD 65` remains the sole translated seven-week terminus.\n- `AD 135/137` are post-terminal second-generation closes.\n- `AD 25/27` are inverse-rail comparison nodes, not carrier termini.\n- `1 BC/AD 2` and `AD 32/34` are forwarded seven-year closes, not Passion dates.\n- The Joshua `21`, Enoch `49`, and Luke `76` counts remain distinct.\n- The `72` Joshua and Enochic boundaries are schematic companion coordinates, not historical biography anchors.\n- The inverse `\u2212110` endpoint projection is not a fifth rail or a global chronology correction."
    }
  ],
  "keys": {
    "E": [
      25,
      23
    ],
    "P": [
      70,
      69
    ],
    "J": [
      300,
      299
    ]
  },
  "file46_literal_base_family": {
    "base": 4830,
    "deep_anchor_BC": 14006,
    "Enoch_pivot_BC": 4836,
    "Christ_hinge_BC": 6,
    "terminal_AD": 65,
    "intermediate_Abraham_ledger_end_BC": 2736,
    "Priestly_Solomon_ledger_end_BC": 1756,
    "double_seed": 9660,
    "Prophetic_Adam_head_BC": 4206,
    "Priestly_Noah_Shem_hinge_BC": 3506,
    "Jared_head_BC": 4906,
    "Luke_Adam_head_BC": 5256,
    "Luke_pre_head_BC": 5326
  },
  "file46_literal_Adam_field": {
    "BC_heads": [
      14896,
      14466,
      14436,
      14006
    ],
    "apparent_BC_head": 14926,
    "declared_subdivision": [
      30,
      400,
      30,
      30,
      400,
      30
    ],
    "outer_span": 920,
    "outer_E_output": 1000,
    "source_section": "6A.5"
  },
  "file63_literal_quarter_ladder": [
    {
      "m": 3,
      "whole": "120",
      "phase": "483/4"
    },
    {
      "m": 10,
      "whole": "400",
      "phase": "805/2"
    },
    {
      "m": 12,
      "whole": "480",
      "phase": "483"
    },
    {
      "m": 30,
      "whole": "1200",
      "phase": "2415/2"
    },
    {
      "m": 300,
      "whole": "12000",
      "phase": "12075"
    }
  ],
  "file51a_literal_conversion_chains": [
    {
      "input_role": "civil count C, not Rounded width W_R",
      "seed": 10051,
      "E": 10925,
      "EE": 11875,
      "neighbor_WR": 10050
    },
    {
      "input_role": "civil count C, not Rounded width W_R",
      "seed": 55016,
      "E": 59800,
      "EE": 65000,
      "E_then_J": 60000,
      "neighbor_WR": 55015
    }
  ],
  "exclusions": [
    "no new second decimal inversion",
    "no new Gear",
    "no primers",
    "no remote extension",
    "composition domains are arithmetic classifications, not source authorization",
    "fractional outputs do not invalidate exact-phase comparisons"
  ]
}