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{"type":"item.completed","item":{"id":"item_1","type":"agent_message","text":"```python\nimport numpy as np\nfrom scipy.linalg import svd, svdvals\nfrom threadpoolctl import threadpool_limits\nnp.set_printoptions(precision=4, suppress=True, linewidth=180)\n\nwith threadpool_limits(limits=4):\n    A,B={},{}\n    for l in range(4):\n        g=W[f\"ln1_w.{l}\"]\n        for j in range(6):\n            s=slice(64*j,64*(j+1))\n            q=W[f\"W_q.{l}\"][s]*g\n            k=W[f\"W_k.{l}\"][s]*g\n            v=W[f\"W_v.{l}\"][s]*g\n            o=W[f\"W_o.{l}\"][:,s]\n            q=q-q.mean(1,keepdims=True)\n            k=k-k.mean(1,keepdims=True)\n            v=v-v.mean(1,keepdims=True)\n            o=o-o.mean(0,keepdims=True)\n            A[l,j]=q.T@k/8\n            B[l,j]=o@v\n    print(\"STRONGEST EARLIER-HEAD KEY-SIDE COMPOSITIONS\")\n    for l in range(1,4):\n        for j in range(6):\n            a=A[l,j]\n            vals=[]\n            for m in range(l):\n                for k in range(6):\n                    b=B[m,k]\n                    val=np.trace(a@b)/(np.linalg.norm(a)*np.linalg.norm(b))\n                    vals.append((float(val),f\"L{m}H{k}\"))\n            print(f\"L{l}H{j}\",sorted(vals,reverse=True)[:5])\n\n    print(\"\\nL3H0 AND L3H1 COMPOSITION DETAILS\")\n    for j in [0,1]:\n        for m in range(3):\n            for k in range(6):\n                c=A[3,j]@B[m,k]\n                ss=svdvals(c)\n                print(f\"L3H{j} <- L{m}H{k}\",\n                      \"trace/nuclear\",round(float(np.trace(c)/ss.sum()),4),\n                      \"trace\",round(float(np.trace(c)),4))\n\n    print(\"\\nL0 OV OUTPUT COORDINATE CONCENTRATION\")\n    for j in range(6):\n        b=B[0,j]\n        en=(b*b).sum(1)\n        ids=np.argsort(en)[-10:][::-1]\n        print(f\"L0H{j}\",\"top coords\",ids,\"energy fractions\",en[ids]/en.sum())\n\n    print(\"\\nBIAS-DERIVED KEY DIRECTIONS: TOP COORDINATES\")\n    for l in range(1,4):\n        for j in range(6):\n            s=slice(64*j,64*(j+1))\n            g=W[f\"ln1_w.{l}\"]\n            kb=(W[f\"W_k.{l}\"][s]*g).T@(W[f\"W_q.{l}\"][s]@W[f\"ln1_b.{l}\"])/8\n            kb-=kb.mean()\n            ids=np.argsort(abs(kb))[-5:][::-1]\n            print(f\"L{l}H{j}\",list(zip(ids.tolist(),np.round(kb[ids],4).tolist())),\n                  \"top5 energy\",round(float(np.sum(kb[ids]**2)/np.sum(kb**2)),3))\n```\n"}}
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