{
  "schema": "AN02-original-directional-carrier-geometry213/v1",
  "convention": "F(zeta)=<u,exp(-i x.zeta)>; outward dnu positive",
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    "radius": 1,
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    "direction": [
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    "center_pi_multipliers": [
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    "transform": "4*pi*sin(r)/r; r^2=zeta.zeta; entire even quotient",
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    "canonical_limit": "-1+abs(eta)",
    "indicator": "abs(eta)",
    "exact_center_zero": "eta=0 and q=k*pi; omitted, never treated as a finite value"
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