Compute deterministic LLM call counts, token budgets, and EUR/Seed costs for 1 to 4 spiral turns of the 8-vertex Diamond Wheel multi-agent orchestrator. Use this tool only to estimate call volume and cost before launching a multi-agent run, or use verify_diamond_crucible_and_ast to audit Python code and RM(1,3) proofs, and verify_sovereign_shield_merkle to notarize text in an RFC 6962 Merkle tree. Zero-auth, stateless, and free (0.00 EUR), executing pure arithmetic without invoking any LLM. Each spiral turn (rounds 1..4) adds 9 LLM calls (4 creators, 4 antipodal auditors, and 1 barycenter synthesizer, totaling 9, 18, 27, or 36 calls, plus 10 final inquisition calls when rounds=4), while tier='supreme' prices calls for gemini-4-argon (10,000 to 64,000 Seeds / 10.00 to 64.00 EUR) and tier='flash' prices calls for gemini-3.8-flash at reduced cost, and lang localizes vertex role descriptions.