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Reconstruct the entire exact Euclidean division trace for two Gaussian integers,...

https://datenvertrag.halowerk.com/v1/gaussian-euclidean-trace-audit

Overview

Reconstruct the entire exact Euclidean division trace for two Gaussian integers, including every quotient/remainder/norm, canonical first-quadrant gcd and unit-rotated Bezout coefficients. Coordinates -128..128; componentwise nearest quotient with half ties toward positive infinity; nonzero canonical gcd real>0,imag>=0, deterministic zero-zero convention. Compare the whole supplied claimed artifact, independent of object-key order.

Protocol x402 (POST)
Price $0.0030
Payment Asset USD Coin
Payment Network eip155:8453
Category uncategorized
Provider datenvertrag
Source bazaar
Indexed 2026-11-04 22:39:04

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Status unknown
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Consecutive Failures 0

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Input Schema

{ "body": { "a": [ 3, 2 ], "b": [ 1, 1 ], "claimed_value": { "bezout_a": [ 0, 1 ], "bezout_b": [ 0, -3 ], "gcd": [ 1, 0 ], "normalizing_unit": [ 0, 1 ], "trace": [ { "dividend": [ 3, 2 ], "divisor": [ 1, 1 ], "divisor_norm": 2, "quotient": [ 3, 0 ], "remainder": [ 0, -1 ], "remainder_norm": 1 }, { "dividend": [ 1, 1 ], "divisor": [ 0, -1 ], "divisor_norm": 1, "quotient": [ -1, 1 ], "remainder": [ 0, 0 ], "remainder_norm": 0 } ] } }, "bodyType": "json", "method": "POST", "type": "http" }