diff --git a/dev/.buildinfo b/dev/.buildinfo
index 7769e445d..947810cdd 100644
--- a/dev/.buildinfo
+++ b/dev/.buildinfo
@@ -1,4 +1,4 @@
 # Sphinx build info version 1
 # This file records the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: dfa4d41232a878355f17989d4be82664
+config: f3394978bc4413cb6d2ebc407de147ad
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/dev/.doctrees/environment.pickle b/dev/.doctrees/environment.pickle
index 9fd99cbf4..bf136d04a 100644
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diff --git a/dev/.doctrees/explanations/hamiltonians.doctree b/dev/.doctrees/explanations/hamiltonians.doctree
index 7794a6514..fd954545f 100644
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diff --git a/dev/.doctrees/how-to-guides/entanglement-forging.doctree b/dev/.doctrees/how-to-guides/entanglement-forging.doctree
index 801f6c172..2397c6923 100644
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diff --git a/dev/.doctrees/how-to-guides/fermion-operator.doctree b/dev/.doctrees/how-to-guides/fermion-operator.doctree
index 8f592b4cc..9d834d114 100644
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diff --git a/dev/.doctrees/how-to-guides/lucj.doctree b/dev/.doctrees/how-to-guides/lucj.doctree
index bd99e43eb..2d2d658b0 100644
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diff --git a/dev/.doctrees/how-to-guides/qiskit-circuits.doctree b/dev/.doctrees/how-to-guides/qiskit-circuits.doctree
index 74afd0670..9f05a1410 100644
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diff --git a/dev/.doctrees/how-to-guides/qiskit-sampler.doctree b/dev/.doctrees/how-to-guides/qiskit-sampler.doctree
index 782624f63..7f294d382 100644
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diff --git a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
index 0e7650583..89488bebe 100644
--- a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb
@@ -33,10 +33,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:16.791195Z",
-     "iopub.status.busy": "2024-10-13T14:00:16.791009Z",
-     "iopub.status.idle": "2024-10-13T14:00:17.498064Z",
-     "shell.execute_reply": "2024-10-13T14:00:17.497406Z"
+     "iopub.execute_input": "2024-10-14T00:39:42.771543Z",
+     "iopub.status.busy": "2024-10-14T00:39:42.771028Z",
+     "iopub.status.idle": "2024-10-14T00:39:43.465209Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.464564Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.500483Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.500170Z",
-     "iopub.status.idle": "2024-10-13T14:00:17.503075Z",
-     "shell.execute_reply": "2024-10-13T14:00:17.502582Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.467908Z",
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+     "iopub.status.idle": "2024-10-14T00:39:43.470366Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.469857Z"
     }
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    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
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-     "shell.execute_reply": "2024-10-13T14:00:17.507433Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.472242Z",
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+     "shell.execute_reply": "2024-10-14T00:39:43.474390Z"
     }
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    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:17.509949Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.509520Z",
-     "iopub.status.idle": "2024-10-13T14:00:17.513976Z",
-     "shell.execute_reply": "2024-10-13T14:00:17.513435Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.476670Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.476331Z",
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+     "shell.execute_reply": "2024-10-14T00:39:43.480237Z"
     }
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    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.516358Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.515936Z",
-     "iopub.status.idle": "2024-10-13T14:00:17.541139Z",
-     "shell.execute_reply": "2024-10-13T14:00:17.540591Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.483260Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.482671Z",
+     "iopub.status.idle": "2024-10-14T00:39:43.508599Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.508059Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.55717072551565)"
+       "np.float64(-99.55717072551538)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.576494Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.576112Z",
-     "iopub.status.idle": "2024-10-13T14:00:18.236565Z",
-     "shell.execute_reply": "2024-10-13T14:00:18.235925Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.542116Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.541677Z",
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+     "shell.execute_reply": "2024-10-14T00:39:44.159252Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4256/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4360/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
       "  evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)\n"
      ]
     }
@@ -224,10 +224,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:18.239412Z",
-     "iopub.status.busy": "2024-10-13T14:00:18.239050Z",
-     "iopub.status.idle": "2024-10-13T14:00:18.852979Z",
-     "shell.execute_reply": "2024-10-13T14:00:18.852353Z"
+     "iopub.execute_input": "2024-10-14T00:39:44.162347Z",
+     "iopub.status.busy": "2024-10-14T00:39:44.161893Z",
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+     "shell.execute_reply": "2024-10-14T00:39:44.749700Z"
     }
    },
    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
index 8e5d85e5e..e3a27b9f0 100644
--- a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb
@@ -62,10 +62,10 @@
    "execution_count": 1,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:21.973578Z",
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-     "shell.execute_reply": "2024-10-13T14:00:22.670296Z"
+     "iopub.execute_input": "2024-10-14T00:39:47.864528Z",
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+     "iopub.status.idle": "2024-10-14T00:39:48.569108Z",
+     "shell.execute_reply": "2024-10-14T00:39:48.568441Z"
     }
    },
    "outputs": [],
diff --git a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
index 88301fe5f..0e5dd13fe 100644
--- a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:24.275039Z",
-     "iopub.status.busy": "2024-10-13T14:00:24.274854Z",
-     "iopub.status.idle": "2024-10-13T14:00:25.901282Z",
-     "shell.execute_reply": "2024-10-13T14:00:25.900644Z"
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+     "shell.execute_reply": "2024-10-14T00:39:51.646836Z"
     }
    },
    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:25.903383Z",
-     "iopub.status.busy": "2024-10-13T14:00:25.903085Z",
-     "iopub.status.idle": "2024-10-13T14:00:26.102878Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.102311Z"
+     "iopub.execute_input": "2024-10-14T00:39:51.649672Z",
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+     "shell.execute_reply": "2024-10-14T00:39:51.837253Z"
     }
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    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:26.105201Z",
-     "iopub.status.busy": "2024-10-13T14:00:26.104771Z",
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-     "shell.execute_reply": "2024-10-13T14:00:26.212246Z"
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@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
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-     "iopub.status.busy": "2024-10-13T14:00:26.214684Z",
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-     "shell.execute_reply": "2024-10-13T14:00:26.324457Z"
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@@ -196,10 +196,10 @@
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-     "shell.execute_reply": "2024-10-13T14:00:26.511355Z"
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@@ -250,10 +250,10 @@
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    "metadata": {
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-     "iopub.status.idle": "2024-10-13T14:00:26.736717Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.736056Z"
+     "iopub.execute_input": "2024-10-14T00:39:52.253354Z",
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@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:26.739195Z",
-     "iopub.status.busy": "2024-10-13T14:00:26.738667Z",
-     "iopub.status.idle": "2024-10-13T14:00:26.876394Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.875776Z"
+     "iopub.execute_input": "2024-10-14T00:39:52.489606Z",
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@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:26.878616Z",
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-     "iopub.status.idle": "2024-10-13T14:00:27.402724Z",
-     "shell.execute_reply": "2024-10-13T14:00:27.402184Z"
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@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
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-     "iopub.status.idle": "2024-10-13T14:00:27.587529Z",
-     "shell.execute_reply": "2024-10-13T14:00:27.586904Z"
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@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:27.589653Z",
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-     "shell.execute_reply": "2024-10-13T14:00:27.756658Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.354076Z",
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     }
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    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:27.759539Z",
-     "iopub.status.busy": "2024-10-13T14:00:27.759169Z",
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-     "shell.execute_reply": "2024-10-13T14:00:27.890739Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.523807Z",
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+     "shell.execute_reply": "2024-10-14T00:39:53.652746Z"
     }
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    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
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-     "iopub.execute_input": "2024-10-13T14:00:27.893831Z",
-     "iopub.status.busy": "2024-10-13T14:00:27.893411Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.073495Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.072875Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.655047Z",
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    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
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-     "shell.execute_reply": "2024-10-13T14:00:28.234947Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.835344Z",
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+     "shell.execute_reply": "2024-10-14T00:39:53.992887Z"
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    "outputs": [
@@ -593,10 +593,10 @@
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-     "shell.execute_reply": "2024-10-13T14:00:28.367373Z"
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     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.370040Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.369695Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.529494Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.528866Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.129329Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.128976Z",
+     "iopub.status.idle": "2024-10-14T00:39:54.287210Z",
+     "shell.execute_reply": "2024-10-14T00:39:54.286733Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.531727Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.531359Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.721378Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.720737Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.289228Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.288881Z",
+     "iopub.status.idle": "2024-10-14T00:39:54.459440Z",
+     "shell.execute_reply": "2024-10-14T00:39:54.458871Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.723537Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.723192Z",
-     "iopub.status.idle": "2024-10-13T14:00:29.172032Z",
-     "shell.execute_reply": "2024-10-13T14:00:29.171395Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.461459Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.461263Z",
+     "iopub.status.idle": "2024-10-14T00:39:54.912249Z",
+     "shell.execute_reply": "2024-10-14T00:39:54.911642Z"
     }
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 1547.39x1018.38 with 1 Axes>"
       ]
@@ -776,10 +776,10 @@
    "execution_count": 18,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:29.174327Z",
-     "iopub.status.busy": "2024-10-13T14:00:29.173981Z",
-     "iopub.status.idle": "2024-10-13T14:00:29.431676Z",
-     "shell.execute_reply": "2024-10-13T14:00:29.431110Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.914594Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.914152Z",
+     "iopub.status.idle": "2024-10-14T00:39:55.179634Z",
+     "shell.execute_reply": "2024-10-14T00:39:55.179099Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
index 62b314b27..6c57b90dd 100644
--- a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
+++ b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb
@@ -26,10 +26,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:31.965958Z",
-     "iopub.status.busy": "2024-10-13T14:00:31.965498Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.677091Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.676560Z"
+     "iopub.execute_input": "2024-10-14T00:39:57.531429Z",
+     "iopub.status.busy": "2024-10-14T00:39:57.530989Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.267655Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.267100Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.679471Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.679005Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.685798Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.685313Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.269840Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.269369Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.276219Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.275637Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.687546Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.687358Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.691539Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.691081Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.278264Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.277764Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.282028Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.281453Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.693465Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.693107Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.697011Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.696553Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.283725Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.283527Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.287644Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.287182Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.698965Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.698629Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.704802Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.704209Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.289472Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.289284Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.295017Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.294540Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.706813Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.706394Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.712202Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.711638Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.296747Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.296563Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.302081Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.301585Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.714141Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.713824Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.718681Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.718222Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.303915Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.303546Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.308544Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.307990Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png b/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png
index cf02180d5..fc915c803 100644
Binary files a/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png and b/dev/.doctrees/nbsphinx/explanations_qiskit-gate-decompositions_34_0.png differ
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
index 95aaf3821..e4b91ff49 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:34.436722Z",
-     "iopub.status.busy": "2024-10-13T14:00:34.436349Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.436937Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.436172Z"
+     "iopub.execute_input": "2024-10-14T00:40:00.022199Z",
+     "iopub.status.busy": "2024-10-14T00:40:00.021997Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.000225Z",
+     "shell.execute_reply": "2024-10-14T00:40:00.999639Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmp4yegu0sa\n",
+      "Parsing /tmp/tmpjtn9ltdu\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -125,10 +125,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.440423Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.439456Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.444803Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.444163Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.003372Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.002959Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.007601Z",
+     "shell.execute_reply": "2024-10-14T00:40:01.007143Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.447129Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.446583Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.450220Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.449639Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.009636Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.009252Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.012473Z",
+     "shell.execute_reply": "2024-10-14T00:40:01.012028Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.452235Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.451915Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.568883Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.568226Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.014627Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.014242Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.126731Z",
+     "shell.execute_reply": "2024-10-14T00:40:01.126125Z"
     }
    },
    "outputs": [
@@ -211,7 +211,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -75.67794403659724\n"
+      "Energy at initialialization: -75.67794403659725\n"
      ]
     }
    ],
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.570940Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.570630Z",
-     "iopub.status.idle": "2024-10-13T14:00:43.507820Z",
-     "shell.execute_reply": "2024-10-13T14:00:43.507279Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.128845Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.128492Z",
+     "iopub.status.idle": "2024-10-14T00:40:09.018193Z",
+     "shell.execute_reply": "2024-10-14T00:40:09.017613Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.68381566723333\n",
-      "        x: [-1.603e-01  6.419e-03 ...  5.748e-02 -1.005e-01]\n",
+      "      fun: -75.68381565459354\n",
+      "        x: [-1.603e-01  6.418e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.132e-04  1.080e-04 ... -4.748e-03  7.381e-03]\n",
+      "      jac: [ 2.132e-04  1.066e-04 ... -4.744e-03  7.427e-03]\n",
       "     nfev: 112\n",
       "     njev: 7\n",
       " hess_inv: <15x15 LbfgsInvHessProduct with dtype=float64>\n"
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
index d75adfc94..6d5c4263d 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.032136Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.031947Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.745675Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.745150Z"
+     "iopub.execute_input": "2024-10-14T00:40:10.537175Z",
+     "iopub.status.busy": "2024-10-14T00:40:10.536988Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.236642Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.236027Z"
     }
    },
    "outputs": [
@@ -40,9 +40,9 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
        "    (cre_a(0), des_a(3)): 0.5,\n",
-       "    (cre_a(3), des_a(0)): -0.25\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j\n",
        "})"
       ]
      },
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.748014Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.747580Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.751636Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.751057Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.239140Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.238668Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.242545Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.242077Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j})'"
+       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.753586Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.753265Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.757619Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.757065Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.244488Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.244140Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.248601Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.248021Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
-       "    (cre_b(2)): 0-0.25j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
        "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(0), des_a(3)): 1\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
+       "    (cre_b(2)): 0-0.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
+       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.759466Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.759142Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.763047Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.762499Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.250475Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.250150Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.254006Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.253526Z"
     }
    },
    "outputs": [
@@ -181,17 +181,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
-       "    (cre_b(2)): -5,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.765095Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.764734Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.768444Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.767944Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.255938Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.255488Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.259339Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.258739Z"
     }
    },
    "outputs": [
@@ -231,15 +231,15 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j\n",
        "})"
       ]
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.770328Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.769966Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.772964Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.772352Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.261336Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.261150Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.264020Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.263565Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.774857Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.774665Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.778902Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.778365Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.265837Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.265497Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.269774Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.269294Z"
     }
    },
    "outputs": [
@@ -341,21 +341,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.805433Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.805065Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.810851Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.810272Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.287130Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.286730Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.292396Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.291816Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([ 0.        +0.j       ,  0.        +0.j       ,\n",
-       "        0.        +0.j       ,  0.        +0.j       ,\n",
-       "       -0.11913479-0.1768497j,  0.        +0.j       ,\n",
-       "        0.        +0.j       ,  0.        +0.j       ,\n",
-       "        0.        +0.j       ])"
+       "array([0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.01074568-0.00552022j, 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.812824Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.812456Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.823788Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.823327Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.294684Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.294146Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.304752Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.304279Z"
     }
    },
    "outputs": [
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
index 1fa07349b..f39a74241 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:47.768598Z",
-     "iopub.status.busy": "2024-10-13T14:00:47.768410Z",
-     "iopub.status.idle": "2024-10-13T14:00:48.769102Z",
-     "shell.execute_reply": "2024-10-13T14:00:48.768361Z"
+     "iopub.execute_input": "2024-10-14T00:40:13.137371Z",
+     "iopub.status.busy": "2024-10-14T00:40:13.137186Z",
+     "iopub.status.idle": "2024-10-14T00:40:14.132918Z",
+     "shell.execute_reply": "2024-10-14T00:40:14.132341Z"
     }
    },
    "outputs": [
@@ -34,15 +34,15 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpjk2lvol7\n",
-      "converged SCF energy = -77.8266321248745\n"
+      "Parsing /tmp/tmpipmpgn90\n",
+      "converged SCF energy = -77.8266321248744\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107772  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -123,10 +123,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:48.771902Z",
-     "iopub.status.busy": "2024-10-13T14:00:48.771348Z",
-     "iopub.status.idle": "2024-10-13T14:00:48.842394Z",
-     "shell.execute_reply": "2024-10-13T14:00:48.841838Z"
+     "iopub.execute_input": "2024-10-14T00:40:14.136170Z",
+     "iopub.status.busy": "2024-10-14T00:40:14.135625Z",
+     "iopub.status.idle": "2024-10-14T00:40:14.206018Z",
+     "shell.execute_reply": "2024-10-14T00:40:14.205383Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374038  E_corr = -0.0475832388658593\n"
+      "E(CCSD) = -77.87421536374038  E_corr = -0.04758323886585292\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.8716002481628\n"
+      "Energy at initialization: -77.87160024816276\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:48.845165Z",
-     "iopub.status.busy": "2024-10-13T14:00:48.844580Z",
-     "iopub.status.idle": "2024-10-13T14:02:33.385445Z",
-     "shell.execute_reply": "2024-10-13T14:02:33.384855Z"
+     "iopub.execute_input": "2024-10-14T00:40:14.208416Z",
+     "iopub.status.busy": "2024-10-14T00:40:14.208145Z",
+     "iopub.status.idle": "2024-10-14T00:41:59.619519Z",
+     "shell.execute_reply": "2024-10-14T00:41:59.618957Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392160812\n",
-      "        x: [ 4.027e-04 -1.355e+00 ...  1.028e-04  1.286e-01]\n",
+      "      fun: -77.87387392107806\n",
+      "        x: [-1.152e+00  1.172e-04 ...  2.137e-04  1.286e-01]\n",
       "      nit: 10\n",
-      "      jac: [ 2.842e-06  3.268e-05 ... -7.105e-06  1.421e-05]\n",
+      "      jac: [-2.132e-05 -1.705e-05 ...  9.948e-06  2.558e-05]\n",
       "     nfev: 949\n",
       "     njev: 13\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:02:33.388440Z",
-     "iopub.status.busy": "2024-10-13T14:02:33.387917Z",
-     "iopub.status.idle": "2024-10-13T14:03:10.131727Z",
-     "shell.execute_reply": "2024-10-13T14:03:10.131138Z"
+     "iopub.execute_input": "2024-10-14T00:41:59.621624Z",
+     "iopub.status.busy": "2024-10-14T00:41:59.621329Z",
+     "iopub.status.idle": "2024-10-14T00:42:36.376455Z",
+     "shell.execute_reply": "2024-10-14T00:42:36.375865Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426349258\n",
-      "        x: [-1.597e-05 -1.355e+00 ...  3.522e-02  2.561e-01]\n",
+      "      fun: -77.87363426228193\n",
+      "        x: [-1.152e+00  1.000e-04 ...  3.520e-02  2.561e-01]\n",
       "      nit: 5\n",
-      "      jac: [-9.948e-06 -2.558e-05 ...  5.684e-06  0.000e+00]\n",
+      "      jac: [ 8.527e-06  5.684e-06 ...  2.842e-06  2.842e-06]\n",
       "     nfev: 329\n",
       "     njev: 7\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
@@ -314,10 +314,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:10.134869Z",
-     "iopub.status.busy": "2024-10-13T14:03:10.134392Z",
-     "iopub.status.idle": "2024-10-13T14:03:26.645397Z",
-     "shell.execute_reply": "2024-10-13T14:03:26.644794Z"
+     "iopub.execute_input": "2024-10-14T00:42:36.380070Z",
+     "iopub.status.busy": "2024-10-14T00:42:36.379256Z",
+     "iopub.status.idle": "2024-10-14T00:42:52.186954Z",
+     "shell.execute_reply": "2024-10-14T00:42:52.186293Z"
     }
    },
    "outputs": [
@@ -328,29 +328,29 @@
       "Number of parameters: 46\n",
       " message: Convergence: Relative reduction of objective function <= ftol.\n",
       " success: True\n",
-      "     fun: -77.87363432511088\n",
-      "       x: [-3.313e-04 -1.355e+00 ...  3.487e-02  2.560e-01]\n",
+      "     fun: -77.87363433774676\n",
+      "       x: [-1.151e+00 -4.786e-04 ...  3.460e-02  2.562e-01]\n",
       "     nit: 3\n",
-      "     jac: [ 1.784e-07  2.931e-07 ... -1.786e-08 -8.184e-08]\n",
-      "    nfev: 505\n",
+      "     jac: [ 3.337e-07  5.792e-08 ... -1.024e-06 -2.342e-06]\n",
+      "    nfev: 499\n",
       "    njev: 4\n",
-      "  nlinop: 321\n",
+      "  nlinop: 315\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363211276133\n",
-      "    Norm of gradient: 0.001077175434025257\n",
-      "    Regularization hyperparameter: 0.0019643765948696573\n",
-      "    Variation hyperparameter: 0.9998325692268615\n",
+      "    Energy: -77.87361987555248\n",
+      "    Norm of gradient: 0.0032781409953260296\n",
+      "    Regularization hyperparameter: 0.0010523491138414635\n",
+      "    Variation hyperparameter: 0.9632214497840799\n",
       "Iteration 2\n",
-      "    Energy: -77.87363431877952\n",
-      "    Norm of gradient: 4.5063930555114564e-05\n",
-      "    Regularization hyperparameter: 0.002588354198428117\n",
-      "    Variation hyperparameter: 0.9998350010818127\n",
+      "    Energy: -77.87363426607693\n",
+      "    Norm of gradient: 0.00016343445189686165\n",
+      "    Regularization hyperparameter: 0.003816852276304379\n",
+      "    Variation hyperparameter: 0.9644176461515346\n",
       "Iteration 3\n",
-      "    Energy: -77.87363432511088\n",
-      "    Norm of gradient: 7.076943426386996e-06\n",
-      "    Regularization hyperparameter: 0.002588354198428117\n",
-      "    Variation hyperparameter: 0.9998350010818127\n"
+      "    Energy: -77.87363433774676\n",
+      "    Norm of gradient: 1.3736011916390138e-05\n",
+      "    Regularization hyperparameter: 0.0033881655844765417\n",
+      "    Variation hyperparameter: 0.9645028365517818\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
index ba7bed5f1..3b87f8b5f 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:28.203177Z",
-     "iopub.status.busy": "2024-10-13T14:03:28.202988Z",
-     "iopub.status.idle": "2024-10-13T14:03:28.895458Z",
-     "shell.execute_reply": "2024-10-13T14:03:28.894919Z"
+     "iopub.execute_input": "2024-10-14T00:42:53.772124Z",
+     "iopub.status.busy": "2024-10-14T00:42:53.771940Z",
+     "iopub.status.idle": "2024-10-14T00:42:54.462955Z",
+     "shell.execute_reply": "2024-10-14T00:42:54.462433Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:28.898150Z",
-     "iopub.status.busy": "2024-10-13T14:03:28.897611Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.469998Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.469462Z"
+     "iopub.execute_input": "2024-10-14T00:42:54.465357Z",
+     "iopub.status.busy": "2024-10-14T00:42:54.464876Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.034004Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.033358Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.472205Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.471728Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.531029Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.530408Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.036360Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.035743Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.095320Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.094838Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.533223Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.532838Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.536833Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.536357Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.097545Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.096992Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.101329Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.100740Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f3360558250>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f5056069510>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.538551Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.538357Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.543424Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.542825Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.103406Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.103030Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.107712Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.107242Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f33604aa500>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505611d7e0>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.545620Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.545257Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.550094Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.549486Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.109501Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.109311Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.113852Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.113385Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f33604aa620>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f50567714e0>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.552047Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.551858Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.556306Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.555695Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.115795Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.115601Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.119962Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.119358Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336061a6b0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505611dab0>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.558383Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.558016Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.562462Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.561853Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.122005Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.121642Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.126078Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.125468Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336044f850>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f50560b6b60>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.564222Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.564033Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.569297Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.568726Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.127774Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.127592Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.132445Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.131986Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f33605581c0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f5056069090>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.571475Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.570979Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.576527Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.575916Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.134370Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.134025Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.139402Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.138817Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336044f3d0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505611e4d0>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.578297Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.578110Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.584130Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.583534Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.141282Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.140946Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.146515Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.146056Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336044d6c0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505591c340>"
       ]
      },
      "execution_count": 11,
diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
index e5bb1992a..bb1620ad1 100644
--- a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
+++ b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-sampler.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:31.480743Z",
-     "iopub.status.busy": "2024-10-13T14:03:31.480546Z",
-     "iopub.status.idle": "2024-10-13T14:03:32.174050Z",
-     "shell.execute_reply": "2024-10-13T14:03:32.173413Z"
+     "iopub.execute_input": "2024-10-14T00:42:57.117696Z",
+     "iopub.status.busy": "2024-10-14T00:42:57.117242Z",
+     "iopub.status.idle": "2024-10-14T00:42:57.808414Z",
+     "shell.execute_reply": "2024-10-14T00:42:57.807890Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:32.176657Z",
-     "iopub.status.busy": "2024-10-13T14:03:32.176209Z",
-     "iopub.status.idle": "2024-10-13T14:03:32.240789Z",
-     "shell.execute_reply": "2024-10-13T14:03:32.240270Z"
+     "iopub.execute_input": "2024-10-14T00:42:57.810883Z",
+     "iopub.status.busy": "2024-10-14T00:42:57.810389Z",
+     "iopub.status.idle": "2024-10-14T00:42:57.873939Z",
+     "shell.execute_reply": "2024-10-14T00:42:57.873468Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:32.243011Z",
-     "iopub.status.busy": "2024-10-13T14:03:32.242635Z",
-     "iopub.status.idle": "2024-10-13T14:03:32.578780Z",
-     "shell.execute_reply": "2024-10-13T14:03:32.578250Z"
+     "iopub.execute_input": "2024-10-14T00:42:57.876054Z",
+     "iopub.status.busy": "2024-10-14T00:42:57.875704Z",
+     "iopub.status.idle": "2024-10-14T00:42:58.151170Z",
+     "shell.execute_reply": "2024-10-14T00:42:58.150544Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110065\n"
+      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110062\n"
      ]
     },
     {
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:32.581235Z",
-     "iopub.status.busy": "2024-10-13T14:03:32.580707Z",
-     "iopub.status.idle": "2024-10-13T14:03:33.123823Z",
-     "shell.execute_reply": "2024-10-13T14:03:33.123302Z"
+     "iopub.execute_input": "2024-10-14T00:42:58.153142Z",
+     "iopub.status.busy": "2024-10-14T00:42:58.152950Z",
+     "iopub.status.idle": "2024-10-14T00:42:58.697508Z",
+     "shell.execute_reply": "2024-10-14T00:42:58.696968Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557074251\n"
+      "SCF energy = -75.3484557082523\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.45619739119564  E_corr = -0.1077416837705262\n"
+      "E(UCCSD) = -75.45619739104838  E_corr = -0.1077416827960702\n"
      ]
     },
     {
diff --git a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
index e153556d5..a6877f265 100644
--- a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
+++ b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:34.672179Z",
-     "iopub.status.busy": "2024-10-13T14:03:34.671986Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.430109Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.429527Z"
+     "iopub.execute_input": "2024-10-14T00:43:00.247638Z",
+     "iopub.status.busy": "2024-10-14T00:43:00.247446Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.004447Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.003869Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.433903Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.432770Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.437548Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.437103Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.007572Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.007062Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.011349Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.010884Z"
     }
    },
    "outputs": [],
@@ -106,10 +106,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.439333Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.439154Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.443165Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.442756Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.013297Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.012933Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.017246Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.016774Z"
     }
    },
    "outputs": [
@@ -172,10 +172,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.445058Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.444622Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.448162Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.447751Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.019302Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.018946Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.023373Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.022785Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.449886Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.449568Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.453274Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.452728Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.025216Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.024884Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.028948Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.028456Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.455151Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.454818Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.475461Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.474859Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.030950Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.030595Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.049876Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.049405Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.03668541730983521\n"
+      "Maximum error in a tensor entry: 0.03668541730983632\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.477558Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.477220Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.481430Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.480849Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.051669Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.051481Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.055775Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.055291Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.483284Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.482939Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.486589Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.486008Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.057735Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.057265Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.060982Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.060356Z"
     }
    },
    "outputs": [],
@@ -400,10 +400,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.488606Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.488125Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.586922Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.586303Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.062823Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.062638Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.160548Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.160021Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.590380Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.589875Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.639449Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.638864Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.162793Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.162384Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.211652Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.211155Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9402393562196085\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402435115158845\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.641570Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.641186Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.855304Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.854788Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.213347Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.213159Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.426388Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.425857Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985211214229854\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854200908\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.857394Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.857203Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.985868Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.985287Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.428324Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.427964Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.553343Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.552888Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985211214229489\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854200776\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.987801Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.987459Z",
-     "iopub.status.idle": "2024-10-13T14:03:36.090076Z",
-     "shell.execute_reply": "2024-10-13T14:03:36.089595Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.555068Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.554883Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.660956Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.660447Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731166932697\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731164188856\n"
      ]
     }
    ],
diff --git a/dev/.doctrees/tutorials/double-factorized-trotter.doctree b/dev/.doctrees/tutorials/double-factorized-trotter.doctree
index 99a052589..db17a399e 100644
Binary files a/dev/.doctrees/tutorials/double-factorized-trotter.doctree and b/dev/.doctrees/tutorials/double-factorized-trotter.doctree differ
diff --git a/dev/_images/explanations_qiskit-gate-decompositions_34_0.png b/dev/_images/explanations_qiskit-gate-decompositions_34_0.png
index cf02180d5..fc915c803 100644
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diff --git a/dev/_modules/ffsim/cistring.html b/dev/_modules/ffsim/cistring.html
index 77c7f6df8..f8b3c60e4 100644
--- a/dev/_modules/ffsim/cistring.html
+++ b/dev/_modules/ffsim/cistring.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../genindex.html" /><link rel="search" title="Search" href="../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.cistring - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/contract/diag_coulomb.html b/dev/_modules/ffsim/contract/diag_coulomb.html
index 3bf1dcb23..759e54da9 100644
--- a/dev/_modules/ffsim/contract/diag_coulomb.html
+++ b/dev/_modules/ffsim/contract/diag_coulomb.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.contract.diag_coulomb - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
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diff --git a/dev/_modules/ffsim/contract/num_op_sum.html b/dev/_modules/ffsim/contract/num_op_sum.html
index dbdb7bbd1..d677291f9 100644
--- a/dev/_modules/ffsim/contract/num_op_sum.html
+++ b/dev/_modules/ffsim/contract/num_op_sum.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.contract.num_op_sum - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
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diff --git a/dev/_modules/ffsim/contract/one_body.html b/dev/_modules/ffsim/contract/one_body.html
index c05cee8e8..a3f1f28b0 100644
--- a/dev/_modules/ffsim/contract/one_body.html
+++ b/dev/_modules/ffsim/contract/one_body.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.contract.one_body - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
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diff --git a/dev/_modules/ffsim/gates/basic_gates.html b/dev/_modules/ffsim/gates/basic_gates.html
index 70e5048b9..75b43c100 100644
--- a/dev/_modules/ffsim/gates/basic_gates.html
+++ b/dev/_modules/ffsim/gates/basic_gates.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.gates.basic_gates - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/gates/diag_coulomb.html b/dev/_modules/ffsim/gates/diag_coulomb.html
index 21b3d95f1..08905b1e1 100644
--- a/dev/_modules/ffsim/gates/diag_coulomb.html
+++ b/dev/_modules/ffsim/gates/diag_coulomb.html
@@ -4,7 +4,7 @@
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     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.gates.diag_coulomb - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/gates/num_op_sum.html b/dev/_modules/ffsim/gates/num_op_sum.html
index 12bac9e68..881789d82 100644
--- a/dev/_modules/ffsim/gates/num_op_sum.html
+++ b/dev/_modules/ffsim/gates/num_op_sum.html
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     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.trotter.diagonal_coulomb - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/trotter/double_factorized.html b/dev/_modules/ffsim/trotter/double_factorized.html
index 0d9511d79..3b2698d98 100644
--- a/dev/_modules/ffsim/trotter/double_factorized.html
+++ b/dev/_modules/ffsim/trotter/double_factorized.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.trotter.double_factorized - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/trotter/qdrift.html b/dev/_modules/ffsim/trotter/qdrift.html
index 256c5e256..0a3dc96a3 100644
--- a/dev/_modules/ffsim/trotter/qdrift.html
+++ b/dev/_modules/ffsim/trotter/qdrift.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.trotter.qdrift - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/givens.html b/dev/_modules/ffsim/variational/givens.html
index 52d840e5c..a05f95b98 100644
--- a/dev/_modules/ffsim/variational/givens.html
+++ b/dev/_modules/ffsim/variational/givens.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.givens - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/hopgate.html b/dev/_modules/ffsim/variational/hopgate.html
index 9d72747f3..e52d05768 100644
--- a/dev/_modules/ffsim/variational/hopgate.html
+++ b/dev/_modules/ffsim/variational/hopgate.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.hopgate - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/multireference.html b/dev/_modules/ffsim/variational/multireference.html
index d414b0bad..f0118cd4b 100644
--- a/dev/_modules/ffsim/variational/multireference.html
+++ b/dev/_modules/ffsim/variational/multireference.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.multireference - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/num_num.html b/dev/_modules/ffsim/variational/num_num.html
index 117b39721..fb2564e20 100644
--- a/dev/_modules/ffsim/variational/num_num.html
+++ b/dev/_modules/ffsim/variational/num_num.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.num_num - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/uccsd.html b/dev/_modules/ffsim/variational/uccsd.html
index 690f6b795..daf969d74 100644
--- a/dev/_modules/ffsim/variational/uccsd.html
+++ b/dev/_modules/ffsim/variational/uccsd.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.uccsd - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
@@ -470,7 +470,9 @@ <h1>Source code for ffsim.variational.uccsd</h1><div class="highlight"><pre>
             <span class="n">index</span> <span class="o">+=</span> <span class="mi">1</span>
         <span class="c1"># Final orbital rotation</span>
         <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">final_orbital_rotation</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
-            <span class="n">params</span><span class="p">[</span><span class="n">index</span><span class="p">:]</span> <span class="o">=</span> <span class="n">orbital_rotation_to_parameters</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">final_orbital_rotation</span><span class="p">)</span>
+            <span class="n">params</span><span class="p">[</span><span class="n">index</span><span class="p">:]</span> <span class="o">=</span> <span class="n">orbital_rotation_to_parameters</span><span class="p">(</span>
+                <span class="bp">self</span><span class="o">.</span><span class="n">final_orbital_rotation</span><span class="p">,</span> <span class="n">real</span><span class="o">=</span><span class="kc">True</span>
+            <span class="p">)</span>
         <span class="k">return</span> <span class="n">params</span></div>
 
 
diff --git a/dev/_modules/ffsim/variational/ucj.html b/dev/_modules/ffsim/variational/ucj.html
index cc69fb135..8d790970e 100644
--- a/dev/_modules/ffsim/variational/ucj.html
+++ b/dev/_modules/ffsim/variational/ucj.html
@@ -4,7 +4,7 @@
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     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.ucj - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/ucj_spin_balanced.html b/dev/_modules/ffsim/variational/ucj_spin_balanced.html
index 102b7a4be..2121630a5 100644
--- a/dev/_modules/ffsim/variational/ucj_spin_balanced.html
+++ b/dev/_modules/ffsim/variational/ucj_spin_balanced.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.ucj_spin_balanced - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/ucj_spin_unbalanced.html b/dev/_modules/ffsim/variational/ucj_spin_unbalanced.html
index fde1c0710..69a4c7aed 100644
--- a/dev/_modules/ffsim/variational/ucj_spin_unbalanced.html
+++ b/dev/_modules/ffsim/variational/ucj_spin_unbalanced.html
@@ -4,7 +4,7 @@
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     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.ucj_spin_unbalanced - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/ffsim/variational/ucj_spinless.html b/dev/_modules/ffsim/variational/ucj_spinless.html
index 55f5b5e2e..9c0432583 100644
--- a/dev/_modules/ffsim/variational/ucj_spinless.html
+++ b/dev/_modules/ffsim/variational/ucj_spinless.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../../../genindex.html" /><link rel="search" title="Search" href="../../../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.variational.ucj_spinless - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../../../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../../../_static/pygments.css?v=a746c00c" />
diff --git a/dev/_modules/index.html b/dev/_modules/index.html
index b90369ae2..30f3fa18f 100644
--- a/dev/_modules/index.html
+++ b/dev/_modules/index.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Overview: module code - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/ffsim.contract.html b/dev/api/ffsim.contract.html
index ff7516e70..b6fc68ff6 100644
--- a/dev/api/ffsim.contract.html
+++ b/dev/api/ffsim.contract.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="ffsim.linalg" href="ffsim.linalg.html" /><link rel="prev" title="ffsim" href="ffsim.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.contract - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/ffsim.html b/dev/api/ffsim.html
index c68b88684..10c4564a8 100644
--- a/dev/api/ffsim.html
+++ b/dev/api/ffsim.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="ffsim.contract" href="ffsim.contract.html" /><link rel="prev" title="API reference" href="index.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/ffsim.linalg.html b/dev/api/ffsim.linalg.html
index 1aca2ac79..19b0a2e34 100644
--- a/dev/api/ffsim.linalg.html
+++ b/dev/api/ffsim.linalg.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
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-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.linalg - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/ffsim.optimize.html b/dev/api/ffsim.optimize.html
index 409f3e80c..6c8d2a821 100644
--- a/dev/api/ffsim.optimize.html
+++ b/dev/api/ffsim.optimize.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
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-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.optimize - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/ffsim.qiskit.html b/dev/api/ffsim.qiskit.html
index bf42a88ef..472dae943 100644
--- a/dev/api/ffsim.qiskit.html
+++ b/dev/api/ffsim.qiskit.html
@@ -5,7 +5,7 @@
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-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.qiskit - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/ffsim.random.html b/dev/api/ffsim.random.html
index dfc4a345d..a887ffdfa 100644
--- a/dev/api/ffsim.random.html
+++ b/dev/api/ffsim.random.html
@@ -5,7 +5,7 @@
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-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.random - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/ffsim.testing.html b/dev/api/ffsim.testing.html
index e1165dcbe..3a253e899 100644
--- a/dev/api/ffsim.testing.html
+++ b/dev/api/ffsim.testing.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
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-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim.testing - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/api/index.html b/dev/api/index.html
index 4727f4d9a..ec6a3494f 100644
--- a/dev/api/index.html
+++ b/dev/api/index.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
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-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>API reference - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/explanations/double-factorized.html b/dev/explanations/double-factorized.html
index 32ec8757f..0d042a1f8 100644
--- a/dev/explanations/double-factorized.html
+++ b/dev/explanations/double-factorized.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="The local unitary cluster Jastrow (LUCJ) ansatz" href="lucj.html" /><link rel="prev" title="Orbital rotations and quadratic Hamiltonians" href="orbital-rotation.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Double-factorized representation of the molecular Hamiltonian - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
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diff --git a/dev/explanations/hamiltonians.html b/dev/explanations/hamiltonians.html
index f77e3e0b5..8ad616b41 100644
--- a/dev/explanations/hamiltonians.html
+++ b/dev/explanations/hamiltonians.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
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-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Hamiltonians - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
@@ -377,7 +377,7 @@ <h2>Operator action via SciPy LinearOperators<a class="headerlink" href="#Operat
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-np.float64(-99.55717072551565)
+np.float64(-99.55717072551538)
 </pre></div></div>
 </div>
 <p>Time evolution by the Hamiltonian can be computed using <code class="docutils literal notranslate"><span class="pre">expm_multiply</span></code>:</p>
@@ -395,7 +395,7 @@ <h2>Operator action via SciPy LinearOperators<a class="headerlink" href="#Operat
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_4256/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
+/tmp/ipykernel_4360/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
   evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)
 </pre></div></div>
 </div>
diff --git a/dev/explanations/hamiltonians.ipynb b/dev/explanations/hamiltonians.ipynb
index 0e7650583..89488bebe 100644
--- a/dev/explanations/hamiltonians.ipynb
+++ b/dev/explanations/hamiltonians.ipynb
@@ -33,10 +33,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:16.791195Z",
-     "iopub.status.busy": "2024-10-13T14:00:16.791009Z",
-     "iopub.status.idle": "2024-10-13T14:00:17.498064Z",
-     "shell.execute_reply": "2024-10-13T14:00:17.497406Z"
+     "iopub.execute_input": "2024-10-14T00:39:42.771543Z",
+     "iopub.status.busy": "2024-10-14T00:39:42.771028Z",
+     "iopub.status.idle": "2024-10-14T00:39:43.465209Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.464564Z"
     }
    },
    "outputs": [],
@@ -68,10 +68,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.500483Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.500170Z",
-     "iopub.status.idle": "2024-10-13T14:00:17.503075Z",
-     "shell.execute_reply": "2024-10-13T14:00:17.502582Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.467908Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.467461Z",
+     "iopub.status.idle": "2024-10-14T00:39:43.470366Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.469857Z"
     }
    },
    "outputs": [],
@@ -99,10 +99,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.505033Z",
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-     "shell.execute_reply": "2024-10-13T14:00:17.507433Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.472242Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.471892Z",
+     "iopub.status.idle": "2024-10-14T00:39:43.474853Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.474390Z"
     }
    },
    "outputs": [],
@@ -127,10 +127,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.509949Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.509520Z",
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-     "shell.execute_reply": "2024-10-13T14:00:17.513435Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.476670Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.476331Z",
+     "iopub.status.idle": "2024-10-14T00:39:43.480795Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.480237Z"
     }
    },
    "outputs": [],
@@ -152,17 +152,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.516358Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.515936Z",
-     "iopub.status.idle": "2024-10-13T14:00:17.541139Z",
-     "shell.execute_reply": "2024-10-13T14:00:17.540591Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.483260Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.482671Z",
+     "iopub.status.idle": "2024-10-14T00:39:43.508599Z",
+     "shell.execute_reply": "2024-10-14T00:39:43.508059Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "np.float64(-99.55717072551565)"
+       "np.float64(-99.55717072551538)"
       ]
      },
      "execution_count": 5,
@@ -191,10 +191,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:17.576494Z",
-     "iopub.status.busy": "2024-10-13T14:00:17.576112Z",
-     "iopub.status.idle": "2024-10-13T14:00:18.236565Z",
-     "shell.execute_reply": "2024-10-13T14:00:18.235925Z"
+     "iopub.execute_input": "2024-10-14T00:39:43.542116Z",
+     "iopub.status.busy": "2024-10-14T00:39:43.541677Z",
+     "iopub.status.idle": "2024-10-14T00:39:44.159828Z",
+     "shell.execute_reply": "2024-10-14T00:39:44.159252Z"
     }
    },
    "outputs": [
@@ -202,7 +202,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_4256/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
+      "/tmp/ipykernel_4360/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n",
       "  evolved_vec = scipy.sparse.linalg.expm_multiply(-1j * time * linop, vec)\n"
      ]
     }
@@ -224,10 +224,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:18.239412Z",
-     "iopub.status.busy": "2024-10-13T14:00:18.239050Z",
-     "iopub.status.idle": "2024-10-13T14:00:18.852979Z",
-     "shell.execute_reply": "2024-10-13T14:00:18.852353Z"
+     "iopub.execute_input": "2024-10-14T00:39:44.162347Z",
+     "iopub.status.busy": "2024-10-14T00:39:44.161893Z",
+     "iopub.status.idle": "2024-10-14T00:39:44.750277Z",
+     "shell.execute_reply": "2024-10-14T00:39:44.749700Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/index.html b/dev/explanations/index.html
index e3ae806c3..6fab06741 100644
--- a/dev/explanations/index.html
+++ b/dev/explanations/index.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="State vectors and gates" href="state-vectors-and-gates.html" /><link rel="prev" title="Implementing Trotter simulation of the double-factorized Hamiltonian" href="../tutorials/double-factorized-trotter.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Explanations - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/explanations/lucj.html b/dev/explanations/lucj.html
index 287c48122..bdc3138bc 100644
--- a/dev/explanations/lucj.html
+++ b/dev/explanations/lucj.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="Qubit gate decompositions of fermionic gates" href="qiskit-gate-decompositions.html" /><link rel="prev" title="Double-factorized representation of the molecular Hamiltonian" href="double-factorized.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>The local unitary cluster Jastrow (LUCJ) ansatz - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/explanations/orbital-rotation.html b/dev/explanations/orbital-rotation.html
index bcc969632..54bf0e761 100644
--- a/dev/explanations/orbital-rotation.html
+++ b/dev/explanations/orbital-rotation.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="Double-factorized representation of the molecular Hamiltonian" href="double-factorized.html" /><link rel="prev" title="Hamiltonians" href="hamiltonians.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Orbital rotations and quadratic Hamiltonians - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/explanations/orbital-rotation.ipynb b/dev/explanations/orbital-rotation.ipynb
index 8e5d85e5e..e3a27b9f0 100644
--- a/dev/explanations/orbital-rotation.ipynb
+++ b/dev/explanations/orbital-rotation.ipynb
@@ -62,10 +62,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
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-     "iopub.status.busy": "2024-10-13T14:00:21.973344Z",
-     "iopub.status.idle": "2024-10-13T14:00:22.670832Z",
-     "shell.execute_reply": "2024-10-13T14:00:22.670296Z"
+     "iopub.execute_input": "2024-10-14T00:39:47.864528Z",
+     "iopub.status.busy": "2024-10-14T00:39:47.864088Z",
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+     "shell.execute_reply": "2024-10-14T00:39:48.568441Z"
     }
    },
    "outputs": [],
diff --git a/dev/explanations/qiskit-gate-decompositions.html b/dev/explanations/qiskit-gate-decompositions.html
index 77cea7172..1b91da9bf 100644
--- a/dev/explanations/qiskit-gate-decompositions.html
+++ b/dev/explanations/qiskit-gate-decompositions.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="How-to guides" href="../how-to-guides/index.html" /><link rel="prev" title="The local unitary cluster Jastrow (LUCJ) ansatz" href="lucj.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Qubit gate decompositions of fermionic gates - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/explanations/qiskit-gate-decompositions.ipynb b/dev/explanations/qiskit-gate-decompositions.ipynb
index 88301fe5f..0e5dd13fe 100644
--- a/dev/explanations/qiskit-gate-decompositions.ipynb
+++ b/dev/explanations/qiskit-gate-decompositions.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:24.275039Z",
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-     "shell.execute_reply": "2024-10-13T14:00:25.900644Z"
+     "iopub.execute_input": "2024-10-14T00:39:50.087403Z",
+     "iopub.status.busy": "2024-10-14T00:39:50.087218Z",
+     "iopub.status.idle": "2024-10-14T00:39:51.647378Z",
+     "shell.execute_reply": "2024-10-14T00:39:51.646836Z"
     }
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    "outputs": [
@@ -81,10 +81,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:25.903383Z",
-     "iopub.status.busy": "2024-10-13T14:00:25.903085Z",
-     "iopub.status.idle": "2024-10-13T14:00:26.102878Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.102311Z"
+     "iopub.execute_input": "2024-10-14T00:39:51.649672Z",
+     "iopub.status.busy": "2024-10-14T00:39:51.649108Z",
+     "iopub.status.idle": "2024-10-14T00:39:51.837835Z",
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     }
    },
    "outputs": [
@@ -119,10 +119,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:26.105201Z",
-     "iopub.status.busy": "2024-10-13T14:00:26.104771Z",
-     "iopub.status.idle": "2024-10-13T14:00:26.212834Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.212246Z"
+     "iopub.execute_input": "2024-10-14T00:39:51.839961Z",
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+     "iopub.status.idle": "2024-10-14T00:39:51.951449Z",
+     "shell.execute_reply": "2024-10-14T00:39:51.950973Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:26.215071Z",
-     "iopub.status.busy": "2024-10-13T14:00:26.214684Z",
-     "iopub.status.idle": "2024-10-13T14:00:26.325098Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.324457Z"
+     "iopub.execute_input": "2024-10-14T00:39:51.953548Z",
+     "iopub.status.busy": "2024-10-14T00:39:51.953067Z",
+     "iopub.status.idle": "2024-10-14T00:39:52.063367Z",
+     "shell.execute_reply": "2024-10-14T00:39:52.062743Z"
     }
    },
    "outputs": [
@@ -196,10 +196,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:26.327544Z",
-     "iopub.status.busy": "2024-10-13T14:00:26.327135Z",
-     "iopub.status.idle": "2024-10-13T14:00:26.511874Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.511355Z"
+     "iopub.execute_input": "2024-10-14T00:39:52.065501Z",
+     "iopub.status.busy": "2024-10-14T00:39:52.065120Z",
+     "iopub.status.idle": "2024-10-14T00:39:52.251347Z",
+     "shell.execute_reply": "2024-10-14T00:39:52.250882Z"
     }
    },
    "outputs": [
@@ -250,10 +250,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:26.513877Z",
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-     "iopub.status.idle": "2024-10-13T14:00:26.736717Z",
-     "shell.execute_reply": "2024-10-13T14:00:26.736056Z"
+     "iopub.execute_input": "2024-10-14T00:39:52.253354Z",
+     "iopub.status.busy": "2024-10-14T00:39:52.253155Z",
+     "iopub.status.idle": "2024-10-14T00:39:52.487381Z",
+     "shell.execute_reply": "2024-10-14T00:39:52.486618Z"
     }
    },
    "outputs": [
@@ -292,10 +292,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:26.739195Z",
-     "iopub.status.busy": "2024-10-13T14:00:26.738667Z",
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-     "shell.execute_reply": "2024-10-13T14:00:26.875776Z"
+     "iopub.execute_input": "2024-10-14T00:39:52.489606Z",
+     "iopub.status.busy": "2024-10-14T00:39:52.489197Z",
+     "iopub.status.idle": "2024-10-14T00:39:52.635712Z",
+     "shell.execute_reply": "2024-10-14T00:39:52.635096Z"
     }
    },
    "outputs": [
@@ -334,10 +334,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:26.878616Z",
-     "iopub.status.busy": "2024-10-13T14:00:26.878225Z",
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-     "shell.execute_reply": "2024-10-13T14:00:27.402184Z"
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+     "shell.execute_reply": "2024-10-14T00:39:53.154424Z"
     }
    },
    "outputs": [
@@ -378,10 +378,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:27.404919Z",
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-     "iopub.status.idle": "2024-10-13T14:00:27.587529Z",
-     "shell.execute_reply": "2024-10-13T14:00:27.586904Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.157239Z",
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+     "shell.execute_reply": "2024-10-14T00:39:53.351608Z"
     }
    },
    "outputs": [
@@ -430,10 +430,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:27.589653Z",
-     "iopub.status.busy": "2024-10-13T14:00:27.589452Z",
-     "iopub.status.idle": "2024-10-13T14:00:27.757258Z",
-     "shell.execute_reply": "2024-10-13T14:00:27.756658Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.354076Z",
+     "iopub.status.busy": "2024-10-14T00:39:53.353858Z",
+     "iopub.status.idle": "2024-10-14T00:39:53.521768Z",
+     "shell.execute_reply": "2024-10-14T00:39:53.521293Z"
     }
    },
    "outputs": [
@@ -474,10 +474,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:27.759539Z",
-     "iopub.status.busy": "2024-10-13T14:00:27.759169Z",
-     "iopub.status.idle": "2024-10-13T14:00:27.891422Z",
-     "shell.execute_reply": "2024-10-13T14:00:27.890739Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.523807Z",
+     "iopub.status.busy": "2024-10-14T00:39:53.523443Z",
+     "iopub.status.idle": "2024-10-14T00:39:53.653204Z",
+     "shell.execute_reply": "2024-10-14T00:39:53.652746Z"
     }
    },
    "outputs": [
@@ -513,10 +513,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:27.893831Z",
-     "iopub.status.busy": "2024-10-13T14:00:27.893411Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.073495Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.072875Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.655047Z",
+     "iopub.status.busy": "2024-10-14T00:39:53.654857Z",
+     "iopub.status.idle": "2024-10-14T00:39:53.833160Z",
+     "shell.execute_reply": "2024-10-14T00:39:53.832558Z"
     }
    },
    "outputs": [
@@ -553,10 +553,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.075684Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.075480Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.235492Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.234947Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.835344Z",
+     "iopub.status.busy": "2024-10-14T00:39:53.834892Z",
+     "iopub.status.idle": "2024-10-14T00:39:53.993464Z",
+     "shell.execute_reply": "2024-10-14T00:39:53.992887Z"
     }
    },
    "outputs": [
@@ -593,10 +593,10 @@
    "execution_count": 14,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.237439Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.237243Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.367909Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.367373Z"
+     "iopub.execute_input": "2024-10-14T00:39:53.995419Z",
+     "iopub.status.busy": "2024-10-14T00:39:53.995067Z",
+     "iopub.status.idle": "2024-10-14T00:39:54.127269Z",
+     "shell.execute_reply": "2024-10-14T00:39:54.126697Z"
     }
    },
    "outputs": [
@@ -630,10 +630,10 @@
    "execution_count": 15,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.370040Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.369695Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.529494Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.528866Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.129329Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.128976Z",
+     "iopub.status.idle": "2024-10-14T00:39:54.287210Z",
+     "shell.execute_reply": "2024-10-14T00:39:54.286733Z"
     }
    },
    "outputs": [
@@ -677,10 +677,10 @@
    "execution_count": 16,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.531727Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.531359Z",
-     "iopub.status.idle": "2024-10-13T14:00:28.721378Z",
-     "shell.execute_reply": "2024-10-13T14:00:28.720737Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.289228Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.288881Z",
+     "iopub.status.idle": "2024-10-14T00:39:54.459440Z",
+     "shell.execute_reply": "2024-10-14T00:39:54.458871Z"
     }
    },
    "outputs": [
@@ -736,16 +736,16 @@
    "execution_count": 17,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:28.723537Z",
-     "iopub.status.busy": "2024-10-13T14:00:28.723192Z",
-     "iopub.status.idle": "2024-10-13T14:00:29.172032Z",
-     "shell.execute_reply": "2024-10-13T14:00:29.171395Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.461459Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.461263Z",
+     "iopub.status.idle": "2024-10-14T00:39:54.912249Z",
+     "shell.execute_reply": "2024-10-14T00:39:54.911642Z"
     }
    },
    "outputs": [
     {
      "data": {
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CP//8s+bPn6+JEyfqpZdekiRFRUUpLS2t9ncGdV51zmeLxeLwO+czAKAyJLsAAMAVu3SExtatWx2mHJVnw4YNGjBggCSpX79+2rRpU5X1oaGhDm2++eYb5efna8CAAZo2bZq9fMGCBbrrrrsc2sbGxmrHjh1XvG/uYN68eTKbzWrRooW6dOlSYbucnByNHz9ec+bMKVM3Y8YM7dq1Sz/++KOmTp2qBg0a6Nprr1WjRo3Ut29fpaam1uIeABfUxPlsNBodfud8BgBUhmQXAAC4YpeO0EhPT1d0dHSljzl9+rRCQmx3Aqlfv75Onz59RfWSdOzYMRkMBq1atUr79u1TSkqKLBaLli9frptvvtmhrSeP8Dg/gu6FF15wKI+Li1NmZqYkyWq1asyYMXruuecUERFR5jkCAgIUGBiokJAQ5efnq169egoICFBRUZF+/vln+/9XZmZmpSPygOqqifM5KChIx48f17Zt2xQXF8f5DACoFAvUAwCAyzZv3jytXLlSffr0qXCExs6dO/Xoo486lN1yyy1q2LChcnJyJEm5ubllFpCuql6SGjRooH79+kmSbrjhBqWmpiojI0ODBw+u7q55hNDQUBUUFEiyraG2atUqnThxQpI0a9YstWjRQgsWLNCkSZN03333qVevXrJYLPrLX/4iSXriiSc0cOBAmUwmvfvuu/bnGTt2rEv2B3XblZzPU6dO1dChQ+Xr66v33ntPEuczAKBiJLsAAMBlO39XtUu1adNGn376qSSpffv2SkpKKtPmxx9/1Icffqhbb71Va9as0e233+5Q361bt0rrJalnz55auHChJGn79u266667tHLlSiUlJWnBggVKSUnR3LlzNW7cOGVmZqp37941sNfOZTabZTabK6wfPHiwVq5cqcTERGVnZ5epnzRpkiRp3LhxGjdunENdYmKifRF/SSopKdGxY8ccRukBNammzueEhAStW7fOoY7zGQBQEaYxAgCAauvcuXOVa+Zcf/31KioqUt++fdW5c2c1a9ZMWVlZmjlzZoX1iYmJ2rJlixITE/Xzzz/rN7/5jUpKSmQ2m1VQUKDu3btr8uTJWrFihb7++mt16dLFnuDJyMhQx44da33fne2+++5z+IBfHT4+Ppo3b16NPBdwNTifAQC1gZFdAADgslQ2QsNoNKpTp05KT0+vdL2c119/3WG7efPm9pEb5dWvXLmyzHO88sorFT7/+fa7du3SddddJ4PBUGFbAAAAeCeSXQAAoEaUN73RVeLj4xUfH+/qMAAAAOACTGMEAAAAAACA1yDZBQAAAAAAAK/BNEa4nbxzUkaOa/qOC5GCfV3TNwAAAAAAqD6SXXA7GTnSuHVVt6sNc3tLXcJc0zcAAAAAAKg+pjECAAAAAADAa5DsAgAAAAAAgNcg2QUAAAAAAACvQbILAAAAAAAAXoMF6uEVUieblb87WQYfXxlMPgpocY0iRk5XSOeBrg4NAAAAAAA4ESO74DUiRk5XwqI8dZp/VPXa9dSeF4eqNP+Mq8MCAAAAAABORLILXsfo66/GN46VpTBPhUcyXB0OAAAAAABwIpJd8DqWorM6sWKujEEhCoho4+pwAAAAAACAE3lMsqu4uFhTp05VZGSkAgMDNWDAAG3cuFEGg0FLlixxdXhwA4cXTlXK3Q21/YFoFezbqrgpX8oUFOLqsAAAAAAAgBN5xAL1VqtVI0aM0MaNGzVt2jTFxcVp4cKFGjZsmCQpISHBqfH0eGmcIm/sKt+QIJ3LO6vML5P10/Pvy3KuxKlxwFHE3c+r+bAnXR0GAHicn09JC/dc2P79Cml4tDQiWgr2dVVU3md/rvTB3gvbN34tDWkl3RkrNQ5wXVzA1cgplj7eJ/0380LZ1M3SPbHSNQ1dFhYAAJI8JNk1Z84cLVu2TCkpKerQoYMkyWw2KyYmRqGhoWrVqpVT49n1ztf66bkFKjlbJP/Q+jLPeUKdJtymlFkfOzUOAACqa9kBadoWSYYLZVlnpdd32er+01tq6O+y8LzGTyekCeulEsuFslPF0vwMaemvx7lVsOviA67EiUJp3FrpYIFj+fKD0jeHpBevkwZGuCY2AAAkD5nGOGPGDI0cOdKe6JIkk8mkmJgY+6iuoUOHqnPnzkpISFDfvn2VkpJSa/GcSTuokrNFtg2DQVaLVfVjw2utPwAAasPBfGlaimSRZLGWrc/Mk17Y6uyovE9+ifTERluiy3JJnVW2pNdTP0rWcv4PAHf0ly3S4YKy5edfSyZvko6ddXpYAADYuX2yKz09Xfv27dPw4cPL1B04cMCe7Jo/f762bt2qLVu26Mknn9SYMWNqNa5rxw/VPRkLdNfPbyu0Q5R2zvmyVvsDAKCm/Xd/5QkWi6TvsqSscj7U4vJ9dcCW8Lo00XWexSpl5Epbs50aFnBV9udJG45XfD5bJZVapc8yK2gAAIATuP00xkOHDkmSmjZt6lC+e/duZWZm2pNdDRo0sNedOXNGRuPl5/Hq16+v4uLiMuWtfRrpqZA+5T5m+2ufa/trn6tBmxaKva2vzh47ddn91VX9+5u1p6Tq4xTUrqdav5B0Rc/dbvqVta9I//5mFaQm18hzAYC7i5v5owKjO1Xaxiqp85AxOr3mA+cE5YVaPfGhQq4fLIOp4ssuq8WiW/9vuo598oITI/N+HT8ulCT5+7MoWk0JvfEBtXjwtUrbWKxWvbJ0vSZ0NjsnqDqC89k5OM7OwXF2Dk8/zhZLRV+tVM3tR3aFhYVJkjIyMuxlVqtVTz/9tCwWi8Pi9OPGjVOrVq00efJkzZ8/3ynxnUk/pOwdmer77wlO6Q8AgJpSWfLFoZ3RVMuReDmjj2QwVNHIynGGR7ic1w2DwcD5DABwKbcf2RUfH6+4uDg9++yz8vX1VXBwsGbPnq0tW7YoKChI7dq1s7edO3euJGnBggWaNGmSli1bdll95Obmllt+dONufTVkSpWPN/qaFMKaXVVavTpJzbpdU2W7lJPSuHVOCKgcq1cnqUuYa/oGAGf76xbpfwcqno503pqP/6O2Df7jlJi80dxU6c3UytsYjCbNn/Gs+r/3rHOCqiO6fmH7t6ioyLWBeJFt2dKYtZW3MUoadWM3Pf0Ex70mcT47B8fZOTjOzuHpx3ndunXq06f82XZVcfuRXT4+Plq8eLHCw8M1atQoTZw4UYMGDVK/fv3UqVOncqcr3nvvvVq9erVOnjxZ4/H41g9S3O1m+YUESZIaxUep88ThOpzECr4AAM8yPLryRJdR0rWNpLYNKmmEKg2NkoyVDOwySgrzl/o2c1pIwFW7tpHUun7lHyIssr2+AADgKm4/skuSOnfurORkx3WUXnvtNfXr10+SlJeXp1OnTikyMlKStHTpUoWGhio0NLTmg7FaFTv8Bl0/bZSMfj4qPJGjzGUblDJzUc33BQBALerYSBoVJ83PkAyyrc91nlFSkI80pbOLgvMijQOkp6+VXtpmO64XJxiNsiXCXviN5OP2X0ECthm5f/2N9MBaqajU8Xw+/zrycDspLsRFAQIAIA9Jdl3q7NmzSk1N1cSJEyVJ+fn5GjFihPLz82UymRQaGqqlS5fKUOX6GFfuXN5ZfXPHczX+vAAAuML4eCmyni3hdSDfVmY0SAOaS4/ES1HBro3PWwyPto3empsm7T5zobxbE+nha2yJR8BTXNNAerevNHu37Y6t5xPlUcHS6DbS7yJdGh4AAJ6Z7Nq2bZtKS0vti9M3a9ZM69evd3FUcIa8nWt18J0nJYNRjXoNV7OhT9jrUif31/nLrVYPvaHAVu21d+adytmyXHFTliq4/dXN9QUAb2Yw2KbZDWkl7c+TzpZK4YFSI39XR+Z9zOG2n4P50pliqUmA1DTQ1VEBV6d1iPSPbtLJQulooW0kaFS9y7gXAwAATuCRya7u3bvLarVW3RBex69ZrNq+uEZGXz+lTu6vJoMekdHftn6awWhS2+dXOrSPHPeKjn/9pitCBQCPYjBIMfVdHUXd0LKe7QfwBmEBth8AANwJq0PAo/iFRcjo6yfJltyS4eJT2KrUyWbt//c4WYoLJUm+jZq7IEoAAAAAAOAqJLvgkXJSVsg/vLWMfhe+Sox9erHaTU9SYGS8TqyY58LoAAAAAACAq5DsgscpPnFQWYtfUsvRsxzKfYJtq/s26DZYhQd2uCI0AAAAAADgYiS74FEs54q0/1/3q9XDs2UKdLxFWGlBriQpf3ey/JrGuCI8AAAAAADgYh65QD3qruzvFqrwwE5lzn5IktRi5HQVZe1VWP97lfbnRBl9/WSq11Axj78vSTrw9hM6vf4znfnpf2p660SFme9xZfgAAAAAAKCWkeyCR2mcOFqNE0c7lAXH95Ykxf9jQ5n2kWNmKXLMrDLlAAAAAADAOzGNEQAAAAAAAF6DZBcAAAAAAAC8BskuAAAAAAAAeA3W7HIzfV55TOfyC7Vh8jxXh1LGPRkL9NXQPyv753212k9ciDS3d612UWnfAADA+yUlJWn06NGKiopSVFSU5s+f71C/YMEChYeHq3Hjxpo4caIkKT09Xa+//rqGDh1qb/fAAw8oLS1NpaWlevvtt9W2bVv1799fVqtVkvTGG2+obdu2evjhhzV37lxn7R4AeKzLfX1OTExU3759tWXLFu3evVstW7Z0aDdx4kSlpKTo3Llzys/PV0pKiu68805lZWUpNzdXkZGR+vzzzzV69Gi9/fbbMhgMztxN1DKSXbWoea8O6vLE7QrrFCtJOrltr1L+8bGykne4ODKbLk/crrDOrfXtfS9dVvsP4u6t5Yhsgn2lLmFO6QoAANRhY8eO1ZQpUzRhwgQlJyerZ8+e9rqlS5dq0aJFMhgMSkpKkiSZzWYNHDjQ4TneeOMN+fr66vvvv9ebb76pf/7znzKZTFq5cqVDuyZNmmjPnj1q3bp1re8XAHi6y3l9lqRPPvlEzzzzTLnP8corr0iSli9fru+++06S9NFHH0mS3nrrLXtyq3v37lq9erUGDBhQW7sDF2AaYy1pmXidblw4RQdWbtLHv3lIH//mIR1YuUk3fjhFLQf+ptzHGEw1999h8DHV2HMBAAB4s44dO+rQoUP27ezsbAUEBDh8y5+VlaV69eqpfv36Do/19fWVJOXl5aljx46SJKvVKrPZrHHjxqmwsFCSLVH21Vdf1fauAIBXqer1uXnz5lU+x5IlSzRkyBCHsqVLl+rWW2+VJPXv31/Lli2rwajhDkh21ZLuL4xRxidJ2jH7C53LLdC53ALtmP2F9iz+Tt1eGCNJ+sPGN9Rp4nD99ovpGrn3AzXubPumz7degMxzntA96Qs09LuXFWHuXGV/zXt20D0ZC9R2ZKL+8ONsDV75D0lS+A2d9PvlM3R36nwN/naWWt1yvSSp1S3X69oJw9Sifxfdk7FA92QskNGv8oF+9x9ZrLDOrWUwGXV32ntq2C7S1nevDrr/yGJF/d6WbQ9s2lD3/fKRfIMDr+7gAQAAOFFycrLi4uLs2xkZGYqKinJoc/EHo0sNHDhQ48eP1/XX266zFi9erKSkJMXHx2vePNvSFFFRUUpLS6ulPQAA73Q5r89V+emnn9StWzf7dl5ennJzcxUeHi6J12dvRbKrFoS0jlD9qGba9/m6MnV7P1urkOjmCom1/WHFjTBr3RNv6IO4e3Xy17WwYob20d7PvtfCa0Zp278/04C3n1JQ89Aq+/UJ9FfjLnH6/IaJ+nLQ06of3VyJ85/Rz699rg/bj9am6e+r3+zHFdohWr98/aO2v/qZDq1O0Qdx9+qDuHtlKS65rP2zllp0dMMuhfe5VpIU3vda5ew7ovA+tm8zw/tcq5Pb9upc3tnLej4AAABXmDdvnsxms1q0aKEuXbpU2nbp0qUaPHhwuXXffvutPv30U02bNk2S1KhRI0nS4MGDtWOHeyxfAQCe5EpenyuzadMmJSQkOIzUXb58uW655ZYaiBLujGRXLQgItQ1vP3s0u0zd2WOnbG3CbCuhpy5YoTPph2S1WOzJpqz1O/XLVxtlLbVo7+I1OrUzU9G39izzXJcyGI3a9OIHKjlbpNKzxYoZ0ktHN+zS/qXJspZadGjVFv3yzU9qPaJftfcxa+3PDsmtlH98bE9+Ne/dUUfW/VztPgAAAGrT2LFjlZSUpBdeeMGhPC4uTpmZmfbt/Px8nTlzRhEREWWeo6ioSJLUoEEDBQbaRrXn5uZKso1IiImJkSRlZmaqTZs2tbIfAOBtLvf1uSrlTWG8tIzXZ+9EsqsWFGbbLnACm5UdjRXY1PZNX+HJHElS/qHjZdrkH3Qsyztw/LJGdpWcLVLRr31LUlB4mPIufa7MowoKr/7q70fWblezHu3lFxKkkNgI7ft8nUx+PgoKD1V4n4468v32avcBAADgCqGhoSooKLBvf/PNN7rpppvs21lZWZo5c6YkadiwYerfv7/GjBmjyZMnS5L9DmGffPKJHnzwQUm2u4sNGjTIiXsBAN7n0tfnkSNH6ptvvtFdd92lb7/9VpL0xBNP2OtXrVrlcGOR0tJSpaWlqX379vay1atX8/rshbgbYy3I2XNYub8cVczgXsq6ZIRTzJBeyv3lqHL2HpEkWS3WMo+v17KJw3ZwZBMd31z1HGKrxeKwXXDkpJr37HDJczVVwZGT5ba/Etk79stqsaj9A7/XsR93y2qx6Mjan9X27kQFNW2kYz/uvurnBgAAqG1ms1lms7nC+sGDB2vlypVKTEzUsGHDNGzYMHtd8+bNNWnSJEkqd1HjDRs2OGyXlJTo2LFjDuvOAADKdyWvz++//36Z+lmzZtl/X7t2rUOdyWTS+vXrHco2bNhg/2IC3oORXbVk45/fVdwd/dXhoVvlGxwo3/pBav/Q7xV3e39tnPpOpY9t3qO9Im/qKoPJqNjb+qpR+yjt/9/6Sh9Tnn1LflCz7vGK+l13GYxGtejfRZE3d9WexWskSWdPnFG9Fo2v+i6QWT/sUPsHf6cja22juI6s2672D/5OxzalqbTo3FU9JwAAgDu47777lJiYWCPP5ePjY1+oHgBQPTX5+ixJ77zzjoxGUiPehpFdteTA8h+1cuSL6vynP6jLpNslSSe37dXKkS/ak0MV2ff5WrUe0U83vP5/yj9yUqvH/UMFh09ecQy5+7O0aszf9Zv/d496v/yY8g8e15rxryr714Xw9y9NVuzQPrrz57dlMBj0Uaexl71IvSQd+X67on/fU0fW2kavHVn7s/xC6rFeFwAAAAAAcBmSXbXoyNrtlSa2Fnd7tEzZ2omvX1VfWck79EHcvWXKD61O0aHVKeU+pvh0nr4e/pfLen7Dr5nui5Nhqe99o9T3vrFvnz16Su+G/+EKogYAAAAAAKhZjNXDZWnUIUqWcyXlLqgPAAAAAADgLhjZ5UGGJL2s4JaNy5Qf+GaT1jz6SrWfP/GDyWrW/Zoy5efyCmX0NWnTiwtVnFNQziMBAAAAAADcA8kuD7LE/HitPv/Ke6bX6vMDAAAAAADUNpJdcDt556SMHNf0HRciBfu6pm8AAAAAAFB9JLvgdjJypHHrXNP33N5SlzDX9A0AAAAAAKqPBeoBAAAAAADgNUh2AQAAAAAAwGuQ7AIAAAAAAIDXYM0ueIXUyWbl706WwcdXBpOPAlpco4iR0xXSeaCrQwMAAAAAAE7EyC54jYiR05WwKE+d5h9VvXY9tefFoSrNP+PqsAAAAAAAgBOR7ILXMfr6q/GNY2UpzFPhkQxXhwMAAAAAAJyIZBe8jqXorE6smCtjUIgCItq4OhwAAAAAAOBEHpHsKi4u1tSpUxUZGanAwEANGDBAGzdulMFg0JIlS1wdHtzE4YVTlXJ3Q21/IFoF+7YqbsqXMgWFuDosAAAAAADgRG6/QL3VatWIESO0ceNGTZs2TXFxcVq4cKGGDRsmSUpISHBJXKYAPw1ZNUuBTRvqg7h7XRIDHEXc/byaD3vS1WG4lMUqfXtY+niflHpGMhmknk2lO2KlzqGujs67JB+zHefNJ23bnUOl22Ok3k0lg8G1sQFXal+utGiftPKwVFgqtaon3RYt/T5SCjC5Ojrgypwulj7dLy355ULZG7ukETFSkwCXhQUAkLTphO2a47xHfpBGREv9w7mGRs1y+2TXnDlztGzZMqWkpKhDhw6SJLPZrJiYGIWGhqpVq1YuiSth0h3KO3hCgU0buqR/4FIlFmnKZtuHVaMky6/lK49I3xyWHu8g3dPalRF6B6tVenWntGCP43Fef1z64Zh0Z4z0REferOE5vsuSnv7Rliw/fz6n50h/2yZ98Yv0Rk8p2NelIQKX7WC+9OA66VihY/k76dLi/dLsXlK7Bi4JDQDqvHlp0uzdkvGi6+RNJ6QfT0i/ayn9JcGxDqgOt5/GOGPGDI0cOdKe6JIkk8mkmJiYMqO6/vrXv8pgMOjnn3+u1ZjCOsWqRf8u+vn1z2u1H+BKzM+wJbqkCx9YJdsHWEl6eYftzQTVs/yQLdEllX+cP9onfXnA6WEBVyWrQHrmJ6nU6ng+/3o6a9dpW9IL8ARWq/TERulEYTl1kvLOSf+3XjpnKVsPAKhd647aEl3Shetm6cL1x/8OSh/tdXpY8GJunexKT0/Xvn37NHz48DJ1Bw4ccEh2bd68WevXr1dUVFStxmQwGdXrHw9r/bNzZSkuqdW+gMtVYqn6zcEo3kBqwsK9lb9wGiR9sMf2oQtwd59m2l4/KjpdrbKNDC0veQC4m00npT25jonbi1kknSiSVh9xZlQAAEn6cG/Vo7YW7nVMhAHV4dbTGA8dOiRJatq0qUP57t27lZmZaU92FRUV6bHHHtOHH34os9l8xf3Ur19fxcXFZcpb+zTSUyF9HMo6PjpEJ7fv09H1u9S8Z4cyj0HF+vc3a0/JqSrbBbXrqdYvJF3Rc7ebfmXtK9K/v1kFqck18lzOFBCboDYz1lfaxiLp218K5d+X+RtXy1ivoTq8e7TSNlZJGblScPNWKjldeVvA1eJmblRAVCcZKpl3a7FKHX5/v05//6ETIwOuXPN7pqvx4MdlMFa80Jy1tESPzFqog68/4MTIgJrR8WPbNw/+/iw+V5s4zrXAaFTHj/JlMFQ+1ibrrNQwtpOKDqc6KTDv5+nns8Vy9cOx3XpkV1hYmCQpIyPDXma1WvX000/LYrHYk11//vOfNXLkSEVHR9dqPPWjm6vdfTfpp+cX1Go/wJUymC5vQZ3LbYfyXcnxM/j41WIkQM0wmPwqTXTZ23E+wwMYfHwla9UXxZzPAOBcBqNPlYkue1sfPq+gZrj1yK74+HjFxcXp2Wefla+vr4KDgzV79mxt2bJFQUFBateunZKTk/XTTz/pb3/721X3k5ubW2750Y279dWQKfbtZt2uUWDjBrpt3auSJKOPSb71AnXnjre1euxMHV2/66pjqAtWr05Ss27XVNku5aQ0bp0TAirH6tVJ6hLmmr6r43SxdMtyqaSSYb8GSXENTdpUVOS0uLxNqdV2nE+VHQjqIMRXOnUgQ75u/XUCIE3eJK04XPWUgW8/nKMOjeY4JyjgKn3xi/RcSuVtDCYfTX7gTo3++51OiQmoSV2/sP1bxLVcreI4146hK6VDBRUvnSBJ/kbp8K5NqufWWQrP4unn87p169SnT5+qG5bDrT+K+fj4aPHixQoPD9eoUaM0ceJEDRo0SP369VOnTp1kNBr13XffadeuXYqJiVF0dLQOHjyom2++Wd98802Nx7Nv6Q/6b6/x+iLxSX2R+KTWPfGmzhUU6ovEJ3V8c3qN9wdcroZ+0o0tKv+Dtkq6PcZZEXknk0H6Q7QtcVgRg6RhUSLRBY/wh+jKE11GSW1DpPYNnRQQUA03RUhBpspfo00GaXCk00ICAPxqREzliS6jpN9FikQXaozbfxzr3LmzkpOTVVBQoNTUVD3yyCPasmWLfQrjM888o8OHD2v//v3av3+/WrZsqeXLl+umm26q8VhKzxar4Ei2/afoZI5ktargSDaL1cPlxsdLYQEV/1F3DZNubeXUkLzSyDipdf3yP0wZJUUFS/e3cXZUwNXpEioNr+C+LkbZkrZTukiXMdMRcLkAH2lqF9vvl56y57f/1NH2XgkAcK4/REudGlV8Dd0sUHqonZODgldz+2TXpc6ePavU1FSHOzG6SlbyDn0Qd6+rwwAk2d4g3ukrDQh3vNNJkEm6J1b6Vw9GG9WEej7Sf/pIQ6Mkv4uOp6/R9m3UvD5SfZYagIcwGKSnO0kT2kuh/o511zWW5vVlVBc8y40tpJe7S3EhjuWR9aTp10l3MMIZAFzC3yS93tM20yTgovuImAy21+53+vJlBGqWxw0S3LZtm0pLSytMdu3fv9+5AcGp8nau1cF3npQMRjXqNVzNhj5hr0ud3F/nB8e2eugNBUS0UepkswwmH5mCGij2qY9l9PPuV9DmgdLfrpdOFEq3/DqTd/nNUqDH/aW7t/q+0uTOtgRB/69sZV/fJDVgzWN4IKNBui9OujtW6vGlrezzgVLLeq6NC7hafZpJvZtKe3Jt74cN/aR2DRihCACuFugjTbpWejRe2nXatpRCXEjZL9yAmuBxH4G7d+8uq7WKlXThtfyaxarti2tk9PVT6uT+ajLoERn9gyRJBqNJbZ9f6dC+3YvfyWDy0ZFFzytnyzdq2H2wK8J2usYX5fRIdNWei0dwkeiCp/O5aKQiiS54OoPB9gHq0hFeAADXq+cjdW3s6ijg7ZjUBI/iFxYho68tq2AwmiSHW9halTrZrP3/HidLcaGtjcmW6bFaLfIPb+3scAEAAAAAgJOR7IJHyklZIf/w1g7TEmOfXqx205MUGBmvEyvmSZLO/rJTu564XjkpK+TXmNsvAQAAAADg7Uh2weMUnziorMUvqeXoWQ7lPsGNJEkNug1W4YEdkqTAVu0VP+tHNeo9QidXzXd6rAAAAAAAwLlIdsGjWM4Vaf+/7lerh2fLFBjsUFdakCtJyt+dLL+mMbKWnLOv72YKaiCDly9ODwAAAAAAPHCBetRt2d8tVOGBncqc/ZAkqcXI6SrK2quw/vcq7c+JMvr6yVSvoWIef19FxzOV+e+xksEon+BGivnT+y6OHgAAAAAA1DaSXfAojRNHq3HiaIey4PjekqT4f2xwKDfVa6B2L37ntNgAAAAAAIDrMY0RAAAAAAAAXoNkFwAAAAAAALwGyS4AAAAAAAB4DdbsgtuJC5Hm9nZd3wAAAIAnSUpK0ujRoxUVFaWoqCjNnz/foX7BggUKDw9XZGSkxowZI6PRqK5du+rll192aPfAAw8oLS1NpaWlevvtt9W2bVs9+eSTmj9/vl5++WWNHDlSkjR69Gi9/fbbMhgMTttHd3C5xzkxMVF9+/bVli1btHv3brVs2dKh3cSJE5WSkqJz584pPz9fKSkpuvPOO5WVlaXc3FxFRkbq888/r7PHGagJJLvgdoJ9pS5hro4CAAAA8Bxjx47VlClTNGHCBCUnJ6tnz572uqVLl2rRokXKzs7W8uXLFRwcrHvvvVdpaWlq27atvd0bb7whX19fff/993rzzTf1z3/+U5MmTVLHjh0d+urevbtWr16tAQMGOG3/3MXlHGdJ+uSTT/TMM8+U+xyvvPKKJGn58uX67jvbDbU++ugjSdJbb71lT27V5eMMVBfTGIE6KikpSTExMTKbzRo1alSZ+unTpys9Pb3Cx2/cuFG9e/dWr169NGXKFIe6r7/+WmazWWazWWFhYUpJSSm3/a5duzRjxoya3TEAAIA6rGPHjjp06JB9Ozs7WwEBATIYDAoLC1NwcLAkyWQylRkx5OvrK0nKy8uzJ7iaNWtWpo/+/ftr2bJltbULHqGy4yxJzZs3r/I5lixZoiFDhjiULV26VLfeeqskjjNQHSS7gDps7NixSkpKUoMGDZScnGwvt1gs2rZtm9q0aVPhYxMSErRu3Tr98MMPSk5OVk5Ojr3ulltuUVJSklavXq3Y2Fh17ty53Pbx8fHavHmzrFZrre4nAABAXZGcnKy4uDj7dkZGhqKiohza7NixQydOnCj3Wm/gwIEaP368rr/++gr7iIqKUlpaWs0F7YEu5zhX5aefflK3bt3s23l5ecrNzVV4eLgkjjNQHSS7AJT5Zmrr1q0OQ9rLc/6bv9LSUkVERCgoKKhMmx9//FFdu3aVwWCosH1sbKx27NhRU7sCAABQJ82bN09ms1ktWrRQly5dKmyXk5Oj8ePHa86cOeXWf/vtt/r00081bdq02gnUw13uca7Kpk2blJCQ4DC6bvny5brllltqIEoAJLsAlPlmKj09XdHR0VU+buHChYqPj1fDhg3l41N2CcBLh2aX155vrAAAAKrv/Ij9F154waE8Li5OmZmZkiSr1aoxY8boueeeU0RERJnnKCoqkiQ1aNBAgYGBFfaVmZlZ6QwAb3Y5x/lylDeF8dKyunycgeoi2QXUYZfzzdTOnTvt62+d//nb3/4mSbr77ru1e/duHT58WNu3by/z2EsX1KyqPQAAAGpWaGioCgoKJNnWbF21apWmTp0qs9msTZs2KSsrSzNnzpQkDRs2TP3799eYMWM0efJkSdLMmTM1c+ZM/e1vf9M///lPSbZrvEGDBrlmh9zUxcdZkkaOHKlvvvlGd911l7799ltJ0hNPPGGvX7VqlQYOHGjfLi0tVVpamtq3b28v4zgDV4+7MQJ12Pm7yVyqTZs2+vTTTyVJ7du3V1JSUpk2RUVF8vf3l9FoVP369RUQEOBQv3fvXrVs2VJ+fn6Vts/MzFTv3r1reM8AAADqjvNfSFZk8ODBWrlypRITE5WdnV2mftKkSZJU7mLokyZNsteft2HDBj344IPVC9oDXclxfv/998vUz5o1y/772rVrHepMJpPWr1/vUFZXjzNQExjZBaCMzp07KzU1tdI2X3zxhcxms2644Qa1bNlSbdq0cfhm8NJh2OW1l2yLeV56O2sAAADUnPvuu0+JiYk19nzvvPOOjEY+Sl6K4wy4D0Z2AXVUZd9MGY1GderUSenp6RWuEzBixAiNGDHCoax58+b2b/4ef/zxKtvv2rVL1113XZnbXgMAAAAAcLVIdgEoV3nTG2tafHy84uPja70fAAAAAEDdwZhIAAAAAAAAeA2SXQAAAAAAAPAaJLsAAAAAAADgNVizC24n75yUkeOavuNCpGBf1/QNAAAAAACqj2QX3E5GjjRunWv6nttb6hLmmr4BAAAAAED1MY0RAAAAAAAAXoNkFwAAAAAAALwGyS4AAAAAAAB4DdbsgldInWxW/u5kGXx8ZTD5KKDFNYoYOV0hnQe6OjQAAAAAAOBEjOyC14gYOV0Ji/LUaf5R1WvXU3teHKrS/DOuDgsAAAAAADgRyS54HaOvvxrfOFaWwjwVHslwdTgAAAAAAMCJSHbB61iKzurEirkyBoUoIKKNq8MBAAAAAABO5DHJruLiYk2dOlWRkZEKDAzUgAEDtHHjRhkMBi1ZssTV4cENHF44VSl3N9T2B6JVsG+r4qZ8KVNQiKvDAgAAAAAATuQRC9RbrVaNGDFCGzdu1LRp0xQXF6eFCxdq2LBhkqSEhASnxdLnlccUM6yPLOdK7GVJD8zSodUpTosB5Yu4+3k1H/akq8NwKatV2nBcWrz/Qtnftkl/iJbiyPvBA+3LlT7ZL609KpVYpHYNbOdzr6aSweDq6IArc7pI+vwX6euD0uliqXmQNKSVNKiFFOARV2QAnM1itb0H/nf/hbJZP0sjoqVWwa6KyjttPil9su/C9nMp0u3R0jUNXRQQgGrxiEurOXPmaNmyZUpJSVGHDh0kSWazWTExMQoNDVWrVq2cGk/a+yu1YfI8p/YJVMVilV7aJn2WKRkvSgJ8ut92gTSli+1DFeAplh2QpqVIskqWX8tOFErfH5V+11L6c4JkIuEFD5GRIz3yg3Sq+ELZySLp51PSh3ulN3tJof6uiw+A+ymxSFM2SysPO07H+WivLSkz/TppYITLwvMaVqv06k5pwR7H4/zlL9IXv0h/6iDd3dpl4QG4Sh4xjXHGjBkaOXKkPdElSSaTSTExMfZRXdHR0brmmmvUpUsXdenSRcuXL3dVuIBLfLjXluiSbImv8yySrJJeSJG2Z7sgMOAq7D4jTdtiO5ctF5Wf//1/B6UF3H8CHqK4VPrjeulMsWP5+Zfq/bnS//vJ6WEBcHP/SbMluiTH90KrpFKr9Owm2whoVM/SA7ZEl1T+Ncc/d0jrjzk7KgDV5fbJrvT0dO3bt0/Dhw8vU3fgwAGHKYyLFy9WSkqKUlJSdPPNN9daTLG39dVdO9/R0DWvqNP/3SaDye0PI7xcqVV6f0/lbQySPtpXeRvAXSzaW3WbD/bYvvUG3N23R6TjhY4foi5mkbTppJR2xplRAXBnhaWVvxdaZRuR9DHXdtVitdq+PKtsoLhRtmsOAJ7F7acxHjp0SJLUtGlTh/Ldu3crMzOzRtbrql+/voqLi8uUt/ZppKdC+jiU7Zy3TD89v0CF2bkK6xSrfm9MlMnfT1v+/lG14/B2/fubtafkVJXtgtr1VOsXkq7oudtNv7L2Fenf36yC1OQaeS5nCojupDYzf6y0jUXSV3sL9I9ejZwTVB3R8eNCSZK/f4CLI/Eu7d/Jkim48nP1VLHUuFNfnU3f6KSovB/nc+2InLhADXrcJoOp4ssuq9WiAQ//Vcc//ZsTIwPgrup1NCv2L5XPVLFIWrj5sP58fYxzgvJCvk2idM0baZW2sUj64ZhFAfVCZC0555zAgBri6dd2FsvVf7Pt9kOSwsLCJEkZGRfmq1itVj399NOyWCwOya577rlHnTp10qOPPqrTp0/XSjzZ2/ep8GSOZLXq5NY92vKPRYoZ0rtW+gIul9Ev8LLaGXxZEAaeweB3eW/Il3vuA65k9Aus+o4KFquM/pzPAGwu+9qO98FquezjbDDK4MN1NOBJ3H5kV3x8vOLi4vTss8/K19dXwcHBmj17trZs2aKgoCC1a9dOkvT9998rMjJSRUVFmjhxosaPH6/333//svrIzS1/svvRjbv11ZAplT/YYq183CvsVq9OUrNu11TZLuWkNG6dEwIqx+rVSeoS5pq+qyO7SLrlG8e1ui5lkBQdYtKmoiKnxVUXdP3C9m8Rx7VG3Z0kpedcWNOoPAZJu9Z9o2Zc59cYzufa8epO2zSZSs9nk0lvPv+MfvvuM06LC4D7OpAnDVtVeRujpOsiGymF1+yrVlAiJX4tFVcxeCTMXyo4fZI7QcPjePq13bp169SnT5+qG5bD7Ud2+fj4aPHixQoPD9eoUaM0ceJEDRo0SP369VOnTp1kNNp2ITIyUpLk7++vRx99VOvW1U62JHpwL/nWD5IkNYqPUucnRmj/l5437Q3eJdRf6t+88j9oq6Q/RDspIKCa/hBdeWLAKKlPM5HogkcY1qrqxG2wjzSAu6oB+FVksNQ1rPJrO4ukPzCDsVqCfKTfRVZ+nA2SRkRXPUAXgHtx+5FdktS5c2clJzsmlF577TX169dPkpSfn6+SkhI1aNBAVqtVH330kbp06VIrsVxz/83qOeNBGX1NOnv0tPYs/k7b/v1ZrfQFXIk/tpd+PCHllZQd4WWQ1L6hNLSVKyIDrtzvI213XNyWXTZJYDRIQSbp/9q7JDTgikUGS6PbSO+kl60zyHaOP9NJCjA5OzIA7uyJjtKYtVJRafk3uOjWWLqRJHm1PdBWWntUOlnOjUSMkqKDpTtjXREZgOrwiGTXpc6ePavU1FRNnDhRknT06FENHz5cpaWlKi0tVfv27fXGG2/USt9f3/aXWnleoLpa1pPe6Sv9bZst6XWej0Ea1FJ68lopwCP/4lEX+Zmk13rYbvf95QHp3EVXn11CbYmB6Pquiw+4Uo9eIzXysyW8Tl10T5wWQdKE9ozqAlBWmwbSvD7SjO3S1uwL5X5GaUgr6f86SD5uP0/H/TUNlN7pI720Tfrh2IUv2YwGWzLxqWulYF+XhgjgKnjkR99t27aptLTUvjh9bGystmzZ4uKo4Ax5O9fq4DtPSgajGvUarmZDn3CoP3cqS9sfjFHH2enya9xSB995UidXzVfLsS8rzDzSRVE7T1SwNLuX9EuelJZjS3R1CZUasp4mPFCgjzS5szQ+Xhr4ta1s8QDbN6yApzEYpLtbS7fHSD2+tJXN7S11DmVqDICKtf014bU31/bja5SuCyP5UtOaB0n/6iEdLpB2nbaNuu0UKjX2zBvYAZCHJru6d+8uq7Wy1S/grfyaxarti2tk9PVT6uT+ajLoERn9g+z1x778t+q17W7fbjZskgJadXRFqC7VKtj2A3iDBn4XfifRBU938SgMT7whCgDXiK1v+0Htigiy/QDwfB6Z7ELd5Rd2YZ6HwWiSDBc+NZTknVZJ7gn5N422l/k2bObM8AAAAAAAgIsxyxseKSdlhfzDW8vod2Fs8fFlr6vJLQ+7MCoAAAAAAOBqJLvgcYpPHFTW4pfUcvQse5ml6KwKD+xUUGyCCyMDAAAAAACuxjRGeBTLuSLt/9f9avXwbJkCLyzeU3Rsv4qy9ih92i06m7ldJXmnFDd5iQsjBQAAAAAArkCyCx4l+7uFKjywU5mzH5IktRg5XUVZexXW/15dM3O9JGn/v+5XxD0vSJKyPp2pk6velQwGlZw5pmZD/uSq0AEAAAAAgBOQ7IJHaZw4Wo0TRzuUBcf3dtiO/r937b83v22Smt82yRmhAQAAAAAAN8CaXQAAAAAAAPAaJLsAAAAAAADgNUh2AQAAAAAAwGuwZhfcTlyINLd31e1qq28AniUpKUmjR49WVFSUoqKiNH/+fIf6BQsWKDw8XJGRkRozZoyMRqO6du2ql19+2aHdnXfeqaysLOXm5ioyMlKff/65+vfvL6vVKkl644031LZtWz388MOaO3eu0/YPAAAAqGmXew3drl073XHHHfLx8VHr1q319ttvy2Aw2Nvdf//9Sk1Nlb+/v/785z9rwIABGj16dJl2zkayC24n2FfqEubqKAB4krFjx2rKlCmaMGGCkpOT1bNnT3vd0qVLtWjRImVnZ2v58uUKDg7Wvffeq7S0NLVt29be7qOPPpIkvfXWW/Y3ZpPJpJUrVzr01aRJE+3Zs0etW7d2wp4BAAAAteNyrqEtFovWrVsng8GgsWPHavv27erUqZPD83zyySdq2bKlfbt79+5avXq1BgwY4LR9uRTTGAGgFiUlJSkmJkZms1mjRo0qUz99+nSlp6dX+Pi1a9eqR48e6tWrl2bNmlWmPjs7W9ddd52Cg4MlSfv371d4eLjMZrPuu+8+SdKuXbs0Y8aMGtoj99axY0cdOnTIvp2dna2AgAAZDAaFhYXZj5PJZKrwm6alS5fq1ltvlSRZrVaZzWaNGzdOhYWFkiSz2ayvvvqqlvcEAAAAcI7KrqEvvm729/dXRESEw2MNBoPuuOMO3X777crOzpYk9e/fX8uWLXPeDpSDZBcA1LKxY8cqKSlJDRo0UHJysr3cYrFo27ZtatOmTYWPjY2N1Zo1a/TDDz/oyy+/VEFBgUN9/fr1tWLFCvXo0cNe9rvf/U5JSUl67733JEnx8fHavHmzfTqeN0tOTlZcXJx9OyMjQ1FRUQ5tduzYoRMnTpR73PPy8pSbm6vw8HBJ0uLFi5WUlKT4+HjNmzdPkhQVFaW0tLRa3AsAAADAeaq6hl61apU6deqkrKwsNWjQwOGx//znP7Vu3TrdcccdeumllyS5x/UyyS4AcJJLvzHZunWrwzS68kRERMjPz0+SbTSS0ej4su3r66vQ0FCHsuXLl6tv37764IMP7GWxsbHasWNHdXfBbc2bN09ms1ktWrRQly5dKmyXk5Oj8ePHa86cOeXWL1++XLfccot9u1GjRpKkwYMHe/XxAwAAQN1zudfQAwYM0LZt2xQVFaWvv/7aoc5dr5dJdgGAk1z6jUl6erqio6Mv67ErVqxQ69atFRAQUGm78PBwpaam6ptvvtFbb72lkydPSnKPb1dq0/nRcy+88IJDeVxcnDIzMyXZpiSOGTNGzz33XJnh1+ctWbJEQ4YMsW/n5uZKsv3fxcTESJIyMzMrHY0HAAAAeILLuYYuLi62lzdo0KDM5xF3vV5mgXoAqGXz5s3TypUr1adPnwq/Mdm5c6ceffRRh7JbbrlFzzzzjA4ePKiXXnpJX3zxRZV9+fv723/v27ev9uzZo7CwunvHh9DQUPvUz6SkJK1atUonTpyQJM2aNUstWrTQggULNGnSJJWWliotLU3t27e3Pz4xMVF+fn5q2LCh3n//ffvzjB071vk7AwAAADjBxdfQGzdu1LPPPiuj0ai4uDgNHDhQWVlZ9mvo++67T8ePH5e/v7/effddSdLq1as1aNAgF+4ByS4AqHXn73JyqTZt2ujTTz+VJLVv315JSUll2hQVFen+++/X7Nmz7YurVyYvL0/BwcGyWq366aefNH78eEm2b1d69+5dvR1xU2azWWazucL6wYMHa+XKlUpMTLQvmnmxSZMmSbJNE12/fr1D3YYNGxy2S0pKdOzYMYcRegAAAICnuZJr6DVr1jjUNW/e3H4N/dlnn5V57IYNG/Tggw/WaLxXimQXALhI586d7Ys4VmThwoXauXOnHnroIUnSBx98IJPJZP8mRbKNPtqyZYsSExM1ePBgvffee/L19dUf/vAH+0LrGRkZ6tixY+3ukJs6f1fKmuDj42NfqB4AAADwVtW5hn7nnXdqMJKrQ7ILAGpRZd+YGI1GderUSenp6RXOaR89erRGjx5dpvx8okuSVq5c6VA3YcIEh+1du3bpuuuus98yGAAAAAC8GckuAHCh8qY31rT4+HjFx8fXej8AAAAA4A64GyMAAAAAAAC8BskuAAAAAAAAeA2SXQAAAAAAAPAarNkFt5N3TsrIcU3fcSFSsK9r+gYAAAAAANVHsgtuJyNHGrfONX3P7S11CXNN3wAAAAAAoPqYxggAAAAAAACvQbILAAAAAAAAXoNkFwAAAAAAALwGyS4AAAAAAAB4DRaoh1dInWxW/u5kGXx8ZTD5KKDFNYoYOV0hnQe6OjQAAAAAAOBEjOyC14gYOV0Ji/LUaf5R1WvXU3teHKrS/DOuDgsAAAAAADgRyS54HaOvvxrfOFaWwjwVHslwdTgAAAAAAMCJPCbZVVxcrKlTpyoyMlKBgYEaMGCANm7cKIPBoCVLlrg6PLgRS9FZnVgxV8agEAVEtHF1OAAAAAAAwIk8Ys0uq9WqESNGaOPGjZo2bZri4uK0cOFCDRs2TJKUkJDg9JhaDvyNEp6+UyGtI1SSd1Y/v7lUO2Z/4fQ4cMHhhVOV9ckLMvj4KyCyveKmfClTUIirw4KX2p8n/Xf/he2/b5f+EC3F1ndVRN7p6Fnps8wL29O2SMOjpI6NJIPBdXEBcF/nLNKqI9LSX6TjhVJDP+m3kdLNEVKAR1z5AgBQPScKpSW/XNievEkaHi0lhNada2iPeMufM2eOli1bppSUFHXo0EGSZDabFRMTo9DQULVq1cqp8UT066yeMx/S2gmvKSt5h3wC/VWvRWOnxoCyIu5+Xs2HPenqMFAHfLLPlty62OJ90sf7pD91kO5u7Zq4vM13WdIzP0kllgtlyw5IXx6Q7oq1Heu68mYN4PKcLpIeS5ZSc2zTFyyy/bvppPROmvRmL6l5kIuDBACgFm08Lv1po1RYeqFsxWFp+SHp1khpShfJVAeuoT1iGuOMGTM0cuRIe6JLkkwmk2JiYuyjugoLC/XII4+oTZs2uvbaa/Xggw/WWjwJT92pba/8V0fWbpe11KJzeWd1OvVArfUHwH2sPybN2C5ZZfs573w+5p87pDVZLgjMy+zJkZ7+0ZboKu84f7hXWrTPFZEBcGdP/ySl59h+P/96cf7fwwXShPWSxVreIwEA8HxHCqTHN0hFpY7l59/7lh6Q3k5zflyu4PbJrvT0dO3bt0/Dhw8vU3fgwAF7suupp55SQECA0tLStH37dj3//PO1Eo9PoL8ad2mtwCYNNez7f+mObXM14N2nFRzZtFb6A+Be3suo/IXT+GsbVM+ifbY35co+k87PkEr50ArgV7tO20ZwWSqot0jamyclH3NiUAAAONHi/VKxpfJr6IV7yybDvJHbT2M8dOiQJKlpU8dk0u7du5WZmamEhATl5eXpvffe08GDB2X4dU5Ls2bNLruP+vXrq7i4uEx5a59Geiqkj0OZX8N6MhiNivpdd6246wWdPXlG3Z4brf7zJmnpTZOudPfqlP79zdpTcqrKdkHteqr1C0m1HU65+vc3qyA12SV9w/0ZA4LVYcHJSttYJKVkS0GNI1SaW3lbVCz+7SPyqR9aaZvjhVJYh146u2eTk6Lyfh0/LpQk+fsHuDgS78Zxrh3N7pymJsOeksFoqrCNtbRE906fr0NvPerEyAAAcI62r+2Sf7PYStvknpMievxWedu+dVJUV89iqegrrKq5/ciusLAwSVJGxoWhElarVU8//bQsFosSEhK0Z88ehYWF6a9//au6du0qs9mstWvX1ko85/JsF6g75y5T3sHjKj1brM0vLVTYtTGs2+VC7aYnsV4Xap0xoN7lt/W//LYoy+h/eYvqGAOCazkSAJ7CGBAsWau+KOZ1AwDgrUyX+R53JZ9rPJXbj+yKj49XXFycnn32Wfn6+io4OFizZ8/Wli1bFBQUpHbt2iklJUV79+5VQkKCZs6cqQ0bNujWW29VRkaGQkKqvhtfbm5uueVHN+7WV0OmOJSdyy1Q3oFjkpW5M1dq9eokNet2TZXtUk5K49Y5IaByrF6dpC5hrukb7q/EIg38WsovqbxdgEk68Uu6AioeXIAqjFhlu+NlVa+0O9Z+o3AWm64xXX+9qXBRUZFrA/FyHOfasWifNHN75W2MJh/9afQdevTvdzgnKAAAnGjs99L2UxVP6T/vhy8/UZsGTgmpWtatW6c+ffpU3bAcbj+yy8fHR4sXL1Z4eLhGjRqliRMnatCgQerXr586deoko9GoVq1aycfHR3fddZckqXv37mrcuLHS0mpn5bXU975R/LjfKSgiTCZ/XyU8dadObN2j/EMnaqU/AO7BxygNbiVVdvMSo6TfR4pEVzUNj6480WWU1KOJSHQBsBvUQvK7jCvbIc69iTcAAE5zW3TliS6jpPYN5RGJrupy+2SXJHXu3FnJyckqKChQamqqHnnkEW3ZssW+OH3jxo3Vv39/rVixQpKUlpamY8eOKS4urlbi2f76Eh1atUWDv/m7Rmyeo6BmoVo9dmat9AXAvYyKkxoHlP/iaZTU0F8a3cbZUXmfIa2ktiHlJxaNkvxM0h/bOzsqAO4sxE96LL7yNvfGSS28f+YGAKCOuqmF1CW0/GtogySjQfpTB2dH5Roekey61NmzZ5WammpPdknSm2++qRdffFHXXnut7rzzTi1YsEANGzasnQCsVm2a/r4+6jhWH3UYrVWjZzCqC6gjGgdIb/eRflPOdNfOoba6ZoHOj8vbBPpIb/aS+oeXfbOOrS+91UtqVwe+kQJwZe5pLT1zrRTi61geZJIevUb6YxXJMAAAPJmvUXq1hzSopS2xdbFWwdIbvVRnlu1x+zW7yrNt2zaVlpY6JLtiY2OVlJTkuqDgNCW52Ur/y40qPJSqhEV5DnWn1n2irM9mymAwquW4VxTcrofS/nKTrMVnZQwMUeykRTIFsjAtqic8SHqzt7QvV9qabSu7tpHUuuolAnEFQvykv18vZZ2VfjwunbNIbRtIHRpKhsrmkgKo0/4QY5ty/sMx6ckfbWXf3CwFeORVLwAAVybIR3ruN9KE9tL6Y1KRRWpd3/bFfF26hvbIt/3u3bvLygLxdZYpsL7a/HWF9v799jJ1x5a9rnYvrlFJbrYO/GeCgp9ZrKhH58i/WbROrJin7DUL1eTmB10QNbxRTH3bD2pX80DpVtbYAXAF/EySOfzCNokuAEBd0zhA+n0dvob2yGmMqNsMPr7yqR9abp1/02hZCvNVWnDG3sa/WbSt0miqW6lsAAAAAADqIL7ngldpcP2t2vl4gmQpVdyfl9nLLUUFOvHNf9TmojIAAAAAAOB9GNkFr5L16Qx1eH2XrvnHjzr8wVR7eeYbDyvirmky1WNFawAAAAAAvBkju+BVjL4BMvoFSlarLEX5kqSjS/6pwMj2Culyo4ujAwAAAAAAtY2RXfBIaVMTVbBvi9KmJipv51plfTpTkhTW/z6lPt1LaVMHqNmQP8lyrliH3vt/OrPla6VONuvEinkujhwAAAAAANQmRnbBI7V9fqXDdnD7PpKkxjeNU+ObxjnU/ea/RU6LCwAAAAAAuBYjuwAAAAAAAOA1SHYBAAAAAADAa5DsAgAAAAAAgNdgzS64nbgQaW5v1/UNAIArJSUlafTo0YqKilJUVJTmz5/vUL9gwQKFh4crMjJSY8aMkdFoVNeuXfXyyy87tPvkk080c+ZMGY1GvfLKK+rRo4cyMjI0fvx4FRUV6fHHH9dvf/tbPfzww5o7d64zd9Et1NRx3rp1qx599FH5+fnpvffeU2RkJMcZAAAXI9kFtxPsK3UJc3UUAAC4ztixYzVlyhRNmDBBycnJ6tmzp71u6dKlWrRokbKzs7V8+XIFBwfr3nvvVVpamtq2bWtv9/rrr2vNmjXKzs7WhAkTtHjxYv31r3/VRx99pIYNG9rbNWnSRHv27FHr1q2duYtuoSaO83PPPafPPvtMR44c0YwZM/Taa69xnAEAcDGmMQIAgMuSlJSkmJgYmc1mjRo1qkz99OnTlZ6eXulz/PGPf1Tfvn314osvVlmfnZ2t6667TsHBwQ5t3nrrLQ0cOFBms1nnzp2zl7/yyitKTEyUJO3atUszZsy40l10Ox07dtShQ4fs29nZ2QoICJDBYFBYWJj92JhMJhkMBofHRkdHKz8/X2fOnFFoaKiKi4t14MAB3XfffRoyZIiOHj0qSTKbzfrqq6+ct1NuqDrHOT8/X02bNlXnzp2VkZHBcQYAwA2Q7AIAAJdt7NixSkpKUoMGDZScnGwvt1gs2rZtm9q0aVPhY3/66Sf5+Pjo+++/1+bNm+1JgIrqz507pxUrVqhHjx72Nr/88ou2b9+ub7/9VklJSfL19ZUknTt3TikpKfZ28fHx2rx5s6xWaw3tuWskJycrLi7Ovp2RkaGoqCiHNjt27NCJEyfKHPtbb71VCQkJSkxM1GOPPaYTJ07o559/1vz58zVx4kS99NJLkqSoqCilpaXV/s64seocZ4vF4vA7xxkAANcj2QUAAK7YpSNhtm7d6jC1qzwbNmzQgAEDJEn9+vXTpk2bqqwPDQ11aPPNN98oPz9fAwYM0LRp0+zlCxYs0F133eXQNjY2Vjt27LjifXMH8+bNk9lsVosWLdSlS5cK2+Xk5Gj8+PGaM2dOmboZM2Zo165d+vHHHzV16lQ1aNBA1157rRo1aqS+ffsqNTW1FvfAM9TEcTYajQ6/c5wBAHA9kl0AAOCKXToSJj09XdHR0ZU+5vTp0woJsd0JpH79+jp9+vQV1UvSsWPHZDAYtGrVKu3bt08pKSmyWCxavny5br75Zoe2njyS5vwIuhdeeMGhPC4uTpmZmZIkq9WqMWPG6LnnnlNERESZ5wgICFBgYKBCQkKUn5+vevXqKSAgQEVFRfr555/t/1+ZmZmVjsjzZjVxnIOCgnT8+HFt27ZNcXFxHGcAANwAC9QDAIDLNm/ePK1cuVJ9+vSpcCTMzp079eijjzqU3XLLLWrYsKFycnIkSbm5uWUW6q6qXpIaNGigfv36SZJuuOEGpaamKiMjQ4MHD67urnmE0NBQFRQUSLKtobZq1SqdOHFCkjRr1iy1aNFCCxYs0KRJk3TfffepV69eslgs+stf/iJJeuKJJzRw4ECZTCa9++679ucZO3asS/bHXV3JcZ46daqGDh0qX19fvffee5I4zgAAuBrJLgAAcNnO373uUm3atNGnn34qSWrfvr2SkpLKtPnxxx/14Ycf6tZbb9WaNWt0++23O9R369at0npJ6tmzpxYuXChJ2r59u+666y6tXLlSSUlJWrBggVJSUjR37lyNGzdOmZmZ6t27dw3stXOZzWaZzeYK6wcPHqyVK1cqMTFR2dnZZeonTZokSRo3bpzGjRvnUJeYmGhfxF+SSkpKdOzYMYdRenVFTR3nhIQErVu3zqGO4wwAgGsxjREAAFRb586dq1yb6Prrr1dRUZH69u2rzp07q1mzZsrKytLMmTMrrE9MTNSWLVuUmJion3/+Wb/5zW9UUlIis9msgoICde/eXZMnT9aKFSv09ddfq0uXLvYET0ZGhjp27Fjr++5s9913n0MipTp8fHw0b968Gnkub8NxBgDAczGyCwAAXJbKRsIYjUZ16tRJ6enpla5L9PrrrztsN2/e3D5Cprz6lStXlnmOV155pcLnP99+165duu6662QwGCpsCwAAAO9EsgsAANSI8qY3ukp8fLzi4+NdHQYAAABcgGmMAAAAAAAA8BokuwAAAAAAAOA1SHYBAAAAAADAa7BmF9xO3jkpI8c1fceFSMG+rukbAAAAAABUH8kuuJ2MHGncOtf0Pbe31CXMNX0DAAAAAIDqYxojAAAAAAAAvAbJLgAAAAAAAHgNkl0AAAAAAADwGiS7AAAAAAAA4DVYoB5eIXWyWfm7k2Xw8ZXB5KOAFtcoYuR0hXQe6OrQAAAAAACAEzGyC14jYuR0JSzKU6f5R1WvXU/teXGoSvPPuDosAAAAAADgRCS74HWMvv5qfONYWQrzVHgkw9XhAAAAAAAAJyLZBa9jKTqrEyvmyhgUooCINq4OBwAAAAAAOJHHJLuKi4s1depURUZGKjAwUAMGDNDGjRtlMBi0ZMkSp8VxT8YCh5/7fvlIg7+d5bT+UbHDC6cq5e6G2v5AtAr2bVXclC9lCgpxdVgA4PYKS6TPMy9sT98q7Tjluni8VYlFWnn4wvbUzdLG45LV6rqYvJHFKiUfkyZvulC2+ojt+AMAgLrBIxaot1qtGjFihDZu3Khp06YpLi5OCxcu1LBhwyRJCQkJTovlg7h7HbYHfztL+5asc1r/qFjE3c+r+bAnXR0GAHiUjBzpsWTpZNGFsiWZ0meZ0uBIaXIXyWRwWXhe49hZ23Hel3ehbPkh6auDUo8m0szrpUCPuCpzb3nnpMc3SFuyJeNF5+2kH6U2IdJrPaSwANfFBwAAnMMjLqvmzJmjZcuWKSUlRR06dJAkmc1mxcTEKDQ0VK1atXJJXI27xKlh25bKWLTaJf0DAFAdueekR3+QThc7lp8fAPPFAVti4LF4p4fmVUqt0vj1UmaeY7nl1xFdG45Lz6VIL3V1emheZ8pmKSXb9rvlkhFze3KkxzdK8/tKBhK4AAB4NY9Ids2YMUMjR460J7okyWQyKSYmRr6+vtq/f7+GDh1qrzt9+rRycnKUnZ1dq3G1uXuADq3aorNHmesBAPA8Xx6Qsosrb/PhXun+NlI9j7hicE/rjkp7cyuut8o2vfGxfKllPaeF5XUycqS1Ryuut0jaeVr66YR0fRNnRQUAAFzB7S9d09PTtW/fPr366qtl6g4cOKDhw4crOjpaKSkp9vKJEyeqpKTksvuoX7++iovLXu239mmkp0L6lPsYn0B/xQzpre8nvHbZ/dR1/fubtaek6sRgULueav1CUm2HU67+/c0qSE12Sd8A4Gyx079TUFw3GYwVL+FZWCpFD7xTOes/c2Jk3qXlH99Ww953yGCq+LLLYrWq+/2TdeIL1gG9Wk1vn6qmw5+t9Hy2lpbo9r++o8P/Ge/EyAAAwNWwWK5+wU23T3YdOnRIktS0aVOH8t27dyszM7PMel3FxcX64IMPtHz58lqNK/rWnio5W6yDKzdV3Ri1rt30JFeHAAAex1SvUaWJAXu7oAZOiMZ7mYIaVD1vzlIqUz1uqlIdpqAGkrVUld9/ycrNawAAqAPcPtkVFhYmScrIyFC3bt0k2Rasf/rpp2WxWMoku7744gu1aNFCv/nNby67j9zc8ucWHN24W18NmVJuXZt7BmrPx0mylnJrn8u1enWSmnW7psp2KSelcS5a83/16iR1CXNN3wDgbBPWS+uPXVijqyJL3ntL3Zu85ZSYvNHft0uL91V+nA0mH70y7Rnd9u4zTovL23ywR3p5R+VtjCZf/d/9d+iPf7/DOUEBAICrlpOTo+3bt+vaa6+94sdW/XWui8XHxysuLk7PPvusPvnkE3311VcaMmSINm/erKCgILVr186h/dtvv60xY8bUakwhrSPUtGs7pX34ba32AwBAbRraqooEjKRmAVLXxs6KyDsNqeI4S5KfUbqphVPC8VqDWko+VQygs0q61TX3NQIAAFcoJCREvXv3VkjIlY/Kdvtkl4+PjxYvXqzw8HCNGjVKEydO1KBBg9SvXz916tRJxoumXxw6dEjfffed7rnnnlqNqc1dA3R0wy7l7suq1X4AAKhNNzSXEkJtSa1LGWRLDDzeUTJx57pqaddA+l3Lyts8fI0U7OuceLxVqL80pm3lbYZHSdHBzokHAAC4jttPY5Skzp07KznZcdHw1157Tf369XMomz9/vn73u9/Zpz7Wlk0vvF+rzw8AgDP4GKVXekjPp0jfHrYlt84L8ZUmXSslRrgqOu8ytYstmfXf/VLJRQc60CQ9dI10T6yrIvMuD7S1je56O912c4XzfAzSXbHS+Pauiw0AADiPRyS7LnX27FmlpqZq4sSJDuXvvvtuuXdthPfI27lWB995UjIY1ajXcDUb+oS9LnVyf53/qNbqoTcU2Kq99s68UzlblituylIFty//zpoAUJfV85H+1lU6XCCtybIlCCLr2UZ9+br9+G/P4WO0JQ/HtpVWH5FyzklNA6T+4VKQR16NuSeDwTa66/YY23E+USQ19LMd54Z+ro4OAAA4i0deXm3btk2lpaVlFqdPS0tzUURwFr9msWr74hoZff2UOrm/mgx6REb/IEmSwWhS2+dXOrSPHPeKjn/9pitCBQCPEhEk3cnooloX6i8Nj3Z1FN4v2Je1uQAAqMs8MtnVvXt3Wa3WqhvC6/iFXZhPYzCaJMPFww6sSp1sln/zOLV66DUZ/QLk26i584MEAAAAAAAuwwQFeKSclBXyD28to1+AvSz26cVqNz1JgZHxOrFingujAwAAAAAArkKyCx6n+MRBZS1+SS1Hz3Io9wluJElq0G2wCg/scEVoAAAAAADAxUh2waNYzhVp/7/uV6uHZ8sU6Hjv8NKCXElS/u5k+TWNcUV4AAAAAADAxTxyzS7UXdnfLVThgZ3KnP2QJKnFyOkqytqrsP73Ku3PiTL6+slUr6FiHn9fknTg7Sd0ev1nOvPT/9T01okKM9/jyvABAAAAAEAtI9kFj9I4cbQaJ452KAuO7y1Jiv/HhjLtI8fMUuSYWWXKAQAAAACAd2IaIwAAAAAAALwGyS4AAAAAAAB4DZJdAAAAAAAA8BoGq9VqdXUQ7qo4t0Cndv3i6jC8RqP4VvKrH1Rlu7xzUkaOEwIqR1yIFOzrmr4BAAAAAED1kewCAAAAAACA12AaIwAAAAAAALwGyS4AAAAAAAB4DZJdAAAAAAAA8BokuwAAAAAAAOA1SHYBAAAAAADAa5DsAgAAAAAAgNcg2QUAAAAAAACvQbILAAAAAAAAXoNkFwAAAAAAALwGyS4AAAAAAAB4DZJdAAAAAAAA8BokuwAAAAAAAOA1SHYBAAAAAADAa5DsAgAAAAAAgNcg2QUAAAAAAACvQbILAAAAAAAAXoNkFwAAAAAAALwGyS4AAAAAAAB4DZJdAAAAAAAA8BokuwAAAAAAAOA1SHYBAAAAAADAa5DsAgAAAAAAgNcg2QUAAAAAAACvQbILAAAAAAAAXoNkFwAAAAAAALwGyS4AAAD8//buPDyq8u7/+HuysMkaEBEMEIhLAIFUyxokLLVaqxWVulFB8VeXWkvdsFR8cH+otYva0lJxQ6FPi1q1RUUqURA0oiCLLAEBAQWFyB6WZOb3x2gwBkKAMJM5vF/XlYuZ+5yZ+Z7xeOacz9z3PZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgIjJd4FSJIkSZKko9furTv4ctEn8S4jMBpltaRGvTrxLiOuDLskSZIkSVLcfLnoE1750R3xLiMwzn7xXo7rckq8y4grhzFKkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYCRM2LV7925GjhxJeno6tWvXpm/fvuTn5xMKhXjxxRfjXZ4CavNumLAc7pkLo+fBjPVQEol3VZKkSAQ+LISHFsDdc+GxJbCuKN5VSZKkqhRKTqLLPVdy6UdPcNnip+jx0HUk10yNd1lKACnxLqAyIpEIAwcOJD8/n1GjRpGZmcmECRMYMGAAANnZ2XGuUEH0/Ep4cAHsCUNyCCLAP1dC+jHw+67Qum6cC5Sko9SmXXDLezC3MPqtXSgE4Qj8dQn8JBNuyIKkULyrlCRJh6vjjRfQrEcHXux7MyV7iun35HBOu+Mn5I98PN6lqZpLiJ5dY8eOZfLkyUydOpVrrrmGfv36MXbsWJKTk0lLS6Nly5bxLlEB8/pauH9eNOiCaG+u8Fc9utbugGvfjl5sSZJiqzgMN7wD8wqj98NEj9ERon9PL4PHlsaxQEmSVGVOvLwf8x9+nh3rCtm1cQtzH/oHmRfnEkpKiChDcZQQe8jo0aMZNGgQ7du3L21LTk4mIyOjtFfX0qVL6d69OyeddBLdu3enoKAgXuUqwUUi8OfFsL9OAeEIbNgFL3wS07IkSUSHky/eHA259uepAti2J2YlSZKkI6BG/TrUbXEshQtXlLZtnL+CGvXqUDf92DhWpkRQ7YcxFhQUsGLFCh5++OFyy1avXs2FF14IwLXXXsvPfvYzBg0axDPPPMM111zDG2+8ccDn37JlC82aNaO4uJhQyDEPgtptTyPzf2dWuE4kEuZ3/13OtR06xKgqSRJAy5v/Tv3vnksoef+nMLvC0PacoWx685kYViZJkg5V25RG3FY/p0xbSt3aAOzevKO0bffm7QCkfrVM+9anTy7Li7+MdxlVokaNGmzduvWgH1fte3atXbsWgKZNm5ZpX7x4MatWrSI7O5vPP/+cDz74gEsvvRSASy+9lA8++IAvvvjigM8/f/58ioqKiEScdVxRKQ2aHnCdUCipUutJkqpWSsPjKgy6StfzGC1JUkIr3hb95ZnU+nVK22o0OAaAPdv8VRpVrNr37GrcuDEAy5Yto0uXLkB0wvrhw4cTDofJzs5m9erVtGjRguTkZCA6xLF58+asXr2aY4+tXPfGvLw8evbseWQ2Qgll4ZcwePqB18to2oA5u5y4S5Ji6db34M3PKh7GCPDX3z3AD//5QExqkiRJh2d9/mJe+dEdZdp2b9nBtrVfkNa+NVuWfwpA4w4Z7N66g22rD9yx5Wg2bVoex3U5Jd5lxFW1D7uysrLIzMxkxIgRpKamUrduXcaMGcOcOXOoU6cOJ598MnPmzIl3mQqQdg2h5TGwent0suP9Oc/fRZCkmDvnBJj2WcXr1EqG3GaxqUeSJB05Bc/+l44/H8D6dxcRLi6h880/Ztn/5REJH+hrLx3tqn3YlZKSwqRJk7j22msZPHgw6enpDBs2jPr167N8+XKSkpJIT09n7dq1lJSUkJycTElJCZ9++inp6enxLl8JKBSC67Pg9tn7Xp4ENK4F57eKaVmSJCDnuOiXEos37b9315BMqJsaw6IkSdIRMe/h56mZVp/z835PKCnEyn+/w/v3OSenDqzah10AnTp1YtasWWXaHn30UXr37g1E5/Pq3LkzEydOZNCgQUycOJHs7OxKD2GUvq1/c7ijE/xmPuz+1tXUCcfAH7pCwxrxqU2SjmYpSfBwN7g1H+YU7m0PffV3RSYMPSle1UmSpKoUKQmTP/Jx8kc+Hu9SlGASIuz6tqKiIpYsWcKwYcNK2/7yl78wePBg7r77bho1asTTTz8dvwIVCOe3gr7Hw+Q18NsF0baHu0G3YyHJH+6UpLhpWAPG9oSFm2DIV3MsXncK/DAdmvrjTJIkSUe9hAy75s2bR0lJCdnZ2aVtp5xyCu+++24cq1IQ1a8Bl7TZG3b18Me9JKlaCIWgQ6O996+yN5ckSZK+kpBhV9euXYlEKpo6XJIkSZIkSUejpHgXIEmSJEmSJFUVwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYCRN27d69m5EjR5Kenk7t2rXp27cv+fn5hEIhXnzxxXiXJ0nVXjgC73wOj34Ef1wIr6+FPeF4VyVJAvhyF0z8GP6wEB5bCqu2xbsiSYq/1ud25+wX7+HyZeO5KP/P8S5HCSQl3gVURiQSYeDAgeTn5zNq1CgyMzOZMGECAwYMACA7OzvOFUpS9bZ8C9z6Hnyyfe+3HGGgUQ249zToemw8q5Oko1ckAmOXwBMFUByB5FD0y4m/LIZ+x8OobKidEGfsklT1dm3ezuLHX6XWsQ1o/9MfxrscJZCE+OgcO3YskydPZu7cubRv3x6A3NxcMjIySEtLo2XLlnGuUJKqr3VF8NO3Yeue6P1vdubavBt+8Q48lgMdGsWlPEk6qo1bCn9buvd+SWTv7Tc+gx3F8HA3CIViX5skxdtnb80DoOVZ341zJUo0CTGMcfTo0QwaNKg06AJITk4mIyOjtFfXLbfcQkZGBqFQiAULFsSrVEmqdiYuhy17yoZcXwsT7UHw18WxrkqStHUPPF6w/+URYNYXMKcwZiVJkhQI1T7sKigoYMWKFVx44YXllq1evbo07Dr//PN56623aNWqVaxLlKRqKxKBFz+JXjDtTxh45wvYsDNWVUmSAKZ+CrsPMHdiUghe/iQ29UiSFBTVfhjj2rVrAWjatGmZ9sWLF7Nq1arSsCsnJ+ewXic3N5ekpGqf/SlOOvwjmgLUrFkrzpVIByeUUoMOE7cecL0I0LZTF3au/PDIFyVVIY/PSmRNL/o1TQfeQaiCc9CScIQJL0/l/m7OVSMpuNqmNOK2+od3Ta+9+vTJZXnxl/Euo0rUqFGDrVsPfD3zbdU+3WncuDEAy5YtK22LRCIMHz6ccDjs5PSSVIFI8W7Cu3ZUat2SbY6TkaRYKtlWWGHQBUC4hJJtG2NTkCRJAVHte3ZlZWWRmZnJiBEjSE1NpW7duowZM4Y5c+ZQp04dTj755Cp5nby8PHr27Fklz6XgOf2l6L+7du2KbyHSIbjvQ3hx1b7n7ILotx4dGsHstcv2s4ZUfXl8ViLbsBN+8Hp07sT9CSWn8OTNl5Dzm0tiV5gkxdj6/MW88qM7yrWHkpJISk0mlJICoRDJNVOJRCKEdxfHocrEMW1aHsd1OSXeZcRVtQ+7UlJSmDRpEtdeey2DBw8mPT2dYcOGUb9+fZYvX+7QQ0k6gMvbwOTVsCe878ArAvy/qvneQJJ0EJrUgotawz9W7Ht5EnBiA+jedN/LJSno2l50Bjl/vKH0/k9WTmTb6s+Z1OX6OFalRFDtwy6ATp06MWvWrDJtjz76KL17945TRZKUOFrXi/5s/c35sO1bX4KlhOCOzl5ISVK83NQetu+B/6yJhlvf/FLilIbwh66QHIpTcZIUZ8v+kceyf+TFuwwloITsFlVUVMSSJUvKzNd14403csIJJ7BmzRr69+9P+/bt41ihJFUvpzWBV86EOzrtbbuxHbx6JvwwPX51SdLRLiUJ7voO/D0XLmmzt/1P3eHJXpBWM26lSZKUsBIy7Jo3bx4lJSVlwq6HH36YNWvWUFxczLp161i4cGEcK5Sk6qd2Cpzfau/9KzKhoRdRklQtZNaHmzrsvd/1WEiyR5ckSYckIYYxflvXrl2JRCqYyVOSJEmSJElHpYTs2SVJkiRJkiTti2GXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKjIQJu3bv3s3IkSNJT0+ndu3a9O3bl/z8fEKhEC+++GK8y5N0GCIReO8LeLIAniqABV9G26REtXIbPLMcHl8KeZ9BcTjeFUmSFDslEXh7PTxRAOOXwZLN8a5IiSipRgo9fnstF77zJy4vGM+AGQ9zylVnx7ssJYiUeBdQGZFIhIEDB5Kfn8+oUaPIzMxkwoQJDBgwAIDs7Ow4VyjpUC3aBL9+Hz7ZXrb95AbwwGnQsm5cypIOyabdcOcHMPPzsu1pNeDXnaF3s7iUJUlSzHywMfpZuK6obHvnNLjvNDiudnzqUuJJSk6m6PNNTLnkHrauWk9au1Z8b+Id7PxiEytfnhXv8lTNJUTPrrFjxzJ58mSmTp3KNddcQ79+/Rg7dizJycmkpaXRsmXLeJco6RB8vBV++jas2V5+WcEWuHoGfF5UfplUHe0sgetnwjufl1/25W64Jb98CCZJUpAs+BJ+Nmvf52/zCqPndpt3x74uJabiol3M+c3f2bpyHUQiFC5cyeops2naJSvepSkBJETYNXr0aAYNGkT79u1L25KTk8nIyCA7O5uNGzfygx/8gJNPPplTTz2VCy64gC+++CKOFUuqjL8tgV0lsK8RXuFINCB4dnnMy5IOyatrYOmWfe/PX4/K/cNCh+hKkoLrz4ugJLyfczvgsyKYtDLGRSkwQinJHNc1iy8XrYp3KUoA1T7sKigoYMWKFVx44YXllq1evZrs7GxCoRC33XYbS5YsYf78+bRt25bbb789DtVKqqwtu+G/n+37ZOhrEeBfn0SDL6m6e2EVhCpYHiHam3GR85ZIkgJo3Q7I31DxuR1EPy+lQ9Ht/qHs2VbE8n++Ge9SlACq/Zxda9euBaBp06Zl2hcvXsyqVavIzs4mLS2N3Nzc0mXdunVjzJgxB/U6ubm5JCVV++xPcdLhHzsBqFmzVpwrCY6aLU7hpD98eMD1thfDMWnHEt6xJQZVHR3cn4+MrL+tJqVh0wOu1/u8i9ny7r+OfEFHCfdnBY37tBJVnZO70/bevAOu99n2EmrWrHPkC1JCaZvSiNvq5+x3+XdHDebY007mtYGjCO8pjmFlialPn1yWF38Z7zKqRI0aNdi6detBP67apzuNGzcGYNmyZaVtkUiE4cOHEw6Hy01OHw6HGTNmDOedd15M65R0cEp2VK57S6SkmPCuHUe4GunwlezYRKQSYxRLttu1S5IUPJU9twsXHfxFq45uXe4eQvMzOvLaj+9iV6H7jyqn2vfsysrKIjMzkxEjRpCamkrdunUZM2YMc+bMoU6dOpx88sll1v/5z39O3bp1ueGGGw7qdfLy8ujZs2dVlq4AOf2l6L+7du2KbyEBc9X06ESm++vungT0S0/h/R37mMFeh8z9+cgYuyT6V5FGNWD9e6+SWu2/akoc7s8KGvdpJapIBC6aBp9s2ztX5bclARe1b8jt7t/6lvX5i3nlR3eUa+9yz1Ucn9OBVy8axa6NjvSorGnT8jiuyynxLiOuqn3YlZKSwqRJk7j22msZPHgw6enpDBs2jPr167N8+fIyQw9vueUWCgoKePnllx2SKCWAq06CYe/ue1kICIVgUNuYliQdsgtawcSPYfue/Qe4g0/EoEuSFEihEFx9Eoz8YD/LgZQkuCQjpmUpgR1zQhPaXf0DSnbu5qJ3/1Tavv7dxUy9/L44VqZEUO3DLoBOnToxa9asMm2PPvoovXv3Lr0/YsQI3n//ff7zn/9Qs2bNWJco6RDkHAe/6gij50W/Afzmt4ApSXDfd6B9o3hVJx2cJrXg0W5w4zuwec/e9iSi4degtnB5m3hVJ0nSkXf2CbC+CB5dFA23vnluVysZHvwutK4Xr+qUaLav2cCTx18U7zKUoBLy++WioiKWLFlSOl/XwoULeeCBB/j000/p0aMHnTt3ZsCAAXGuUlJlXNgaXuof7eX1tRuy4D/fg77N41aWdEjaN4KXvhcNcb82MAP+ngvD2ke/9ZYkKciGnAgv9C3bO/+m9tFzu24H/h0XSaoSCdGz69vmzZtHSUlJadjVvn37Sk0KLKl6alYHrjsFxi2N3h9yYnzrkQ7HMSnREPeBedH7t54a13IkSYq59Lrwi/Ywfnn0/mVOSyEpxhIy7OratavhliRJkiRJkspJyGGMkiRJkiRJ0r4YdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMBImLBr9+7djBw5kvT0dGrXrk3fvn3Jz88nFArx4osvxru8mCuJwMzP4Z8r4D+rYdPueFckSZKCaGcxTP00es7xxqewqyTeFUmHLhyB/C+i+/O/P4GNO+NdkXR4lm+B51dG/5ZtiXc1Va/bA1czcPZfuGzp0wz84K90uXsISakp8S5LCSAh9pJIJMLAgQPJz89n1KhRZGZmMmHCBAYMGABAdnZ2nCuMrTc+hQcXwBff+HBOCcEFreGX7SE1YSJMSZJUXUUi8NQyeKIAthfvba+bAj89GS5tA6FQ/OqTDtbMz+GBD+Gzor1tySE45wS47VSolRBXRlLU2u0wag7MKSzb3jkNRmXDCcfEp66qtuiJV5l993iKi3ZRM60euWNvpuONFzD3oX/EuzRVcwlxSB87diyTJ09m7ty5tG/fHoDc3FwyMjJIS0ujZcuWca4wdv77Kdw+u3x7cQT+sQI+L4IHv+vJpyRJOjxjFsPjBeXbtxXD7xbCzhK46qTY1yUdinc+h2HvRkPcbyqJwMurowHYI90gxS+NlQC+2AlDZ0DhrvLL5hXCldNhfG9oVjv2tVW1zUvX7L0TChEJR6jX5vj4FaSEkRCH89GjRzNo0KDSoAsgOTmZjIyM0l5d559/Pp06dSI7O5tevXoxd+7cOFV75BSH4bfzo7cj+1knbx3M3hCzkiRJUgCtK4r26KrI2CX7vtCSqptIJDoqIhLZ9zl0BHhvA7y1LtaVSYfmqYLo8Te8j2VhYPNuePIAx/BEcuoN53P5svFcuuBx0tq34qOx/453SUoA1T7sKigoYMWKFVx44YXllq1evbo07Hrqqaf48MMPmTNnDrfccgtXXXVVrEs94t75Ar7Ytf+gCyApBC+sillJkiQpgF7+5MDrFEdg8uojX4t0uOZ9Cau2HeAcGnjec2glgD1heOmTfQddXwsD/14d7YEbBPMf/RfPZv6EF874BUuenkLR51/GuyQlgGo/jHHt2rUANG3atEz74sWLWbVqVWnY1aBBg9JlmzdvJinp4HK83Nzcg35MrDU+63qaD/19heuEI/Cv6R/wUM/uMarq6NDhH9EJ0mrWrBXnSoLN9zk2fJ9jw/c5Nnyfj4wTfvYYDXtdQig5db/rRIr3MPL3jzP0sRtjWFnwuU9XvYZnXEb6z5+ocJ0w8NaCFdTMPSU2RR0l3J+rXkrDZmT97cDJ7M4SaNIykz0bEuNbibYpjbitfk6F62wuWEvhwlX0euRGXrtoVGwKS1B9+uSyvDgYoWCNGjXYunXrQT+u2oddjRs3BmDZsmV06dIFiE5YP3z4cMLhcJnJ6a+++mqmTJlCJBLh1VdfjUu9R1LJzgP/B46ESwgXHfyOIEmS9LXwzm3AASYATUr6aj2pegsXHXg/jUTClHgOrQQQ3rW98uvurPy6iSIpNZn6ztmlSqj2YVdWVhaZmZmMGDGC1NRU6taty5gxY5gzZw516tTh5JNPLl33scceA2D8+PHceuutTJ48udKvk5eXR8+ePau8/qpUuAt+MCU6bGB/QknJ3H1pb348wkk0qtLpL0X/3bXL9/VI8n2ODd/n2PB9jg3f5yPjvS/gulkVrxNKSuY/v72ZDuNujk1RRwn36aq3vRi+/1rFQ7pCoSRuOqsjQ2/0fa9K7s9HxvUzo/M0728oY1IIOjWC2Rs/i2ldh2N9/mJe+dEdZdpS69Wh1dld+OTVfHZv2UGjrFZ0GnYhn+Z9GKcqE8e0aXkc1+Xo7qlavcftASkpKUyaNInjjz+ewYMHM2zYMM4++2x69+5Nx44d9zn08Cc/+QnTpk1j48aNcaj4yEmrCedV8MOTSSFoVAN+cELsapIkScFzehM4ucH+TxSTiP68ffuGMSxKOkTHpMDFGftfnvTVOucfPT/wrgR3ReYB5uyKwOATY1bOkROJ0ObCM7jwnT9x+bLx9H3iNtb8dw7v/npcvCtTAqj2PbsAOnXqxKxZZb9efPTRR+nduzcA27Zt48svvyQ9PR2Al19+mbS0NNLS0mJe65F2cwf4fCfMWB8Nt8Lf6OVVPxUe7Q519z+9hiRJ0gGFQvCHrnDdTFj5jRFgSUQvsNrWh998N7qelAiuOwU+K4Ipa8ufQ9dOgYe7QWOnlVKC6NYUbu8Io+dF73+9O399SL65A+QcF4/KqtaebUVMufjueJehBJUQYde3FRUVsWTJEoYNGwbA9u3bGThwINu3byc5OZm0tDRefvllQgE8A6uZDL/rAvlfRH8x5o2veqbe0gHOSYd6Bl2SJKkKHFsLnu0N//0U7pwTbet6LPywJfQ9HlKr/fgAaa+UJLjvO3BBq+gvl78W/Q0sftEOzm0JDWvEtz7pYF3UGr7bBJ5bCRM+jrZd0gYubAWt68WzMql6SMiwa968eZSUlJROTn/cccfxzjvvxLmq2EkKRdP8bk33joO/pE18a5IkScFTMxl+kL437HrEH3tWAguFokN0T2+yN+z6SWZ8a5IOR6u6cFOHvWHXzR3iW49UnSRk2NW1a1cikQpmaZckSZIkSdJRyQ7okiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JCSEvL4+MjAxyc3MZPHhwueXjx49n6tSpLFmyhJ49e9KrVy9++ctfllvv1VdfpXv37px55pl8+umnAJx77rn07t2bfv36sWHDBoqLi7n66quP+DZJUlBU9hj9tX/961+ceOKJ5db71a9+RY8ePejVqxfz588H9n3cvvLKK4lEIkdoayRJR4OcP/yMrvcNjXcZ+3T5svGkdciIdxkJzbBLUsIYOnQoeXl5NGjQgFmzZpVZ9vLLL9OvXz+aNGnCa6+9xvTp09mwYQNLly4ts97o0aOZNm0av/vd7xg9ejQAzz//PG+++SZDhgxhwoQJpKSkcOyxx7J8+fKYbZskJbrKHKO/9txzz5Genl7uOa655hpmzpzJk08+yQMPPADs+7jdtWtXpk2bdgS3RpKUSJr1aM9Zz93F5QXjubxgPGc9dxfNurePd1mlOt/8Y/o9/atKr/9s5k8oXLDiCFYUfIZdkhJOhw4dWLt2ben9wsJCatWqRSgUonHjxtStWxeA5ORkQqFQmcempKRQq1Yt2rdvT35+PgCpqakA7Ny5k6ysLAByc3N55ZVXYrE5khQoFR2jAd544w1ycnJISip/Gtq6dWug7PF7X8ftPn36MHny5CO8JZKkRHBC/9P43oQ7WD31ff7xnWv4x3euYfXU9/nexDs4od939vmYUHLVRSGhlOQqey5VHcMuSQln1qxZZGZmlt5ftmwZrVq1KrPOwoUL2bBhQ7lhMnv27GHjxo3MmDGDwsJCIHoh1qNHDx5++OHSsKtVq1bleoVJkg7sQMfoxx9/fJ9DHb9p5MiRXH/99cC+j9seoyVJX+t671Us+2ceC8e8xJ6tO9izdQcLx7zE8klv0uXeqwC4KP/PdBx2IT946T4GffwsTTq1BSD1mFrkjr2ZywvGc/6bv6d5bqcDvl6z7u25fNl4ThrUn4veG8N5U38LwPFndOSHr43msiVPcd5/H6LlWd8FoOVZ3+XUGwfQok9nLl82nsuXjSepRkqFrzHks0k07tSWUHISly19moYnR3tDN+vRniGfTaLVD7sDULtpQ6745O+k1q19aG9egBl2SUoY48aNIzc3lxYtWtC5c+f9rrdlyxZuuOEGxo4dW27Zvffey0UXXcTEiRNp164dAGlpacycOZN7772X3//+90eqfEkKtMoco2fPnk27du2oVavWfp/nb3/7GxkZGfTs2RPY93FbkiSA+m2bU6/Vcaz419vlln38wgzqt25G/TbHA5A5MJe3b/4zz2b+hI1fDRHMOD+Hj1+YzoRTBjPvkRfo+/ht1GmWdsDXTaldkyadM/nXGcP499nDqde6Gf2fup0Fj/6Lie2u5P37nqH3mF+S1r41n7z6HvMffoG10+bybOZPeDbzJ4R3F1dq+yIlYda/u4jjc04F4Phep7JlxWccn9Mhej/nVDbO+5g924oq9XxHE8MuSQnj6/lg7r333jLtmZmZrFq1CoBIJMJVV13F3XffTfPmzcs9R05ODtOmTWPIkCF07dqVcDhMcXH0w6ZBgwalF2CrVq3a5+TJkqR9q8wxesGCBbz++uucddZZzJ07l/vuu6/MurNmzWLy5MmMGjWqtO3bx23wGC1JiqqVVg+AovWF5ZYVff5ldJ3G9QFYMv51NhesJRIOl4ZN6975iE9eySdSEubjSW/x5UeraH1u9wO+bigpiffvf5biol2UFO0m40c9WP/uIla+PItISZi1b8zhkymzaTuw92Fv47oZC8qEW3N/+4/S8KtZzw589vaCw36NIKq475wkJYC0tDR27NgBRH8R7I033mDDhg0APPTQQ7Ro0YLx48dz6623cvfdd5OXl0eLFi3461//yvbt2/nhD39IUlISNWvW5Mknnyx9nqFDq+evs0hSIvnmMXrIkCEMGTIEgP79+/PrX/8agJtvvpmHHnqI22+/na1bt9K3b19OPfVUHnnkkXLHbYBp06Zx9tlnx2V7JEnVx87CrQDUPi6Nzcs+LbOsdtNG0XU2bgFg+9ovyj1++5qybdtWf1Gpnl3FRbvY9dVrA9Q5vjHbvv1cq9ZTt9VxldiKin02Yz4dh11Ijfp1qN+mOSv+9Tbfuf1S6hyfxvE5HZh5818O+zWCyLBLUkLIzc0lNzd3v8vPO+88pk6dSv/+/UvndPmmW2+9FYA777yTO++8s8yyN998s8z94uJiPv/88zJzzkiS9u9gjtFfmzp1aunthx56CCh/PIZ9H7ffffddfvrTnx5m1ZKkRLdl+ads/WQ9Gef1YN23ejhl/KgHWz9Zz5aPPwMgEo6Ue/wxJxxb5n7d9GP54oMDzwkZCYfL3N/x2cZyv/5YN70pOz7buM/1D0bhwpVEwmHa/b8f8vl7i4mEw3w2YwEnXdafOk0b8fl7iw/5uYPMYYySAuGKK64ocxF1OFJSUhg3blyVPJckqWqP0QBPPPHEPn/NUZJ09Mm/80kyL+5D+2vOJbVubVLr1aHdNT8k88d9yB/5RIWPbdatHelnnk4oOYk2F/SiUbtWrPzPOwddw4oXZ3Jc1yxandOVUFISLfp0Jv37p7N80lsAFG3YzDEtmhzyr0Cum7mQdj89h89mzAfgs7fn0+6n5/D5+0sp2bXnkJ4z6OzZJUmSJEmSEtLq195j6qD76XTTRXS+9ccAbJz3MVMH3V8aDu3Pin/NoO3A3pzxp1+w/bONTLv6t+z4dONB17B15TreuOo3fOdXl9Pz9z9j+5oveOuGhyn8aiL8lS/Pos35OVyy4HFCoRB/7zi00pPUA3w2fT6tf9idz2ZEe699NmMBNeof43xdFTDskiRJkiRJCeuzGfMrDLYmdbm+XNuMYX86pNdaN2shz2b+pFz72mlzWTtt7j4fs3vTNl698H8q9fyhr3oufzMMW/L0FJY8PaX0ftH6L3ny+IsOouqjj/2/JUmSJEmSqoFG7VsR3lO8zwn1VXn27JIkSZIkSfrKj/J+T90TmpRrXz3lfd66/g+H/fz9n/01x3U9pVz7nm07SUpN5v37J7B7y47Dfp2jmWGXJEmSJEnSV17M/eURff6pl993RJ9fDmOUJEmSJElSgBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAkRNi1e/duRo4cSXp6OrVr16Zv377k5+cTCoV48cUX412epCqwZvve21/sjF8dkqSyisN7b8/eACWR+NUiSTo6JdeqwQUzH+HyZePjXYoSRLUPuyKRCAMHDuSxxx7jjjvu4N///jcZGRkMGDAAgOzs7DhXKOlwfLYDfj4LBvx3b9s5U+D22bBpV/zqkiTB8yvhnNf33r92Jvzwdfj3J3ErSZJ0FMq+9WK2rdkQ7zKUQFLiXcCBjB07lsmTJzN37lzat28PQG5uLhkZGaSlpdGyZcs4VyjpUH1eBFdOh8Jd8M2OAmHgjU9h2RZ4ohfUS41XhZJ09HqqAB5ZVL79i50wai5sL4GLM2JeliTpKNO4Yxta9OnMe3c9TZ9xt8S7HCWIat+za/To0QwaNKg06AJITk4mIyOjXK+uu+66i1AoxIIFC2JdpqRD8Lel0aArvI9lYWDlNpj4cayrkiRt2Al/WlzxOn9YCFt2x6YeSdLRKZScRI/fXss7Ix4jvLs43uUogVTrsKugoIAVK1Zw4YUXllu2evXqMmHXBx98wDvvvEOrVq1iWaKkQ7SjGP6zet9B1zdNWgkR54eRpJh6eTWED3Ds3ROGyWtiU48k6ejU4fofsXH+Cta/s4+uxlIFqvUwxrVr1wLQtGnTMu2LFy9m1apVpWHXrl27+NnPfsbEiRPJzc09pNfKzc0lKalaZ3/71OEf0Zm8a9asFedKgs33uerVbH4yJ/1x3gHXK9wFdRo1IVy0NQZVHR3cn2PD9zk2fJ+PjBN+9jca5lxKKGX/48gjxXv41UOPM/ixG2NYWfC5T8eG73Ns+D7HRhDe57Ypjbitfk6Ztnqtm3HyFWfy0vdujVNViatPn1yWF38Z7zKqRI0aNdi69eCvBat12NW4cWMAli1bRpcuXYDohPXDhw8nHA6Xhl133nkngwYNonXr1vEqVdJBCu8uqtR6kUiYyB5/nlGSYim8eyeEQhWvFAoR3rUjNgVJko46x3U5hdpNGnDB2w8DkJSSTOoxtblk4eNMG/qgvb1UoWoddmVlZZGZmcmIESNITU2lbt26jBkzhjlz5lCnTh1OPvlkZs2axezZs/nf//3fw3qtvLw8evbsWUWVx87pL0X/3bXLn607knyfq14kAhfnwYqtZSen/6YkoGvTJN7fvi2GlQWf+3Ns+D7Hhu/zkfH2evjFuxWvE0pO4YXRv+Q7j/0yNkUdJdynY8P3OTZ8n2MjCO/z+vzFvPKjO8q0rXh5Jp9O3zsS5NjTTibnjz/jpf63sHPjlliXmFCmTcvjuC6nxLuMuKrW4/ZSUlKYNGkSxx9/PIMHD2bYsGGcffbZ9O7dm44dO5KUlMSbb77JokWLyMjIoHXr1qxZs4bvf//7TJkyJd7lS6pAKARXZO4/6ILofF6Xt41VRZKkr3VvCq3r7v9EMQk4uQFkp8WyKknS0aSkaDc7Piss/du1cQtEIuz4rNDJ6nVA1TrsAujUqROzZs1ix44dLFmyhOuuu445c+aUDmG8/fbb+fTTT1m5ciUrV67khBNO4LXXXuPMM8+Mc+WSDuScE+DKE6O3v3kw+vr2LR2gW9NvP0qSdKQlheCPXaFp7ej9rwc0fv1vi2Pgd10OPNJRkqSqsm7WQp7N/Em8y1CCqNbDGPelqKiIJUuWMGzYsHiXIukwhULwsyzo2RT+uRLmFUbbuh4LF7WO9hqQJMVHi2Pg77nw79XRX8/duAuOrQXnpsPZ6XBMwp1FSpKko0XCnabMmzePkpKS0p5d37Zy5crYFiTpsHVuHP2TJFUvdVPhkjbRP0mSpESRcGFX165diUQqmuVHkiRJkiRJR6tqP2eXJEmSJEmSVFmGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmS9JW8vDwyMjLIzc1l8ODB5ZaPHz+eqVOnAtCrVy/q1q3LmjVryq03atQosrOzyc3NZcKECQAMHjyYnJwc+vXrx9q1awG48soriUQiR3CLJOnoY9glSZIkSd8wdOhQ8vLyaNCgAbNmzSqz7OWXX6Zfv34A/POf/+Siiy7a7/M88sgj5OXlcdlllwFw1113MWPGDEaMGMGf/vQnALp27cq0adOO0JZI0tHJsEuSpDg4UM+B++67j4KCgv0+vrCwkNNOO426deuWWzZjxgy6detGjx49eOihhwAoKiriBz/4Ab179+bKK68EYNGiRYwePbqKtkiSgqdDhw6lPbAgeuytVasWoVAIgGbNmlX4+GHDhnHOOeewcuVKAFq3bg1AcnJy6XP06dOHyZMnV33xknQUM+ySJClO9tdzIBwOM2/ePE488cT9PrZevXq8/vrrdOvWrdyyNm3a8NZbbzFz5kz+/e9/s2PHDqZMmUJOTg5vvvkmqampLFiwgKysLD744AOHz0jSfsyaNYvMzMzS+8uWLaNVq1aVeuwvfvELZs+ezahRoxg+fHhpezgc5v7772fo0KEAtGrViqVLl1Zt4ZJ0lDPskiQpzr7dc+DDDz/kpJNOqvAxqamppKWl7XNZ8+bNqVGjBhDtPZCUlERGRgbbt28HYNu2bTRo0ACIBmMLFy6sis2QpMAYN24cubm5tGjRgs6dOx/SczRq1AiA7373u2zcuLG0feTIkVxyySW0adOmKkqVJO2DYZckSXH27Z4DBQUFpUNdDsfrr79O27ZtqVWrFpmZmUyfPp2srCxCoRDp6emAPQokaV++7nl77733lmnPzMxk1apVlXqOrVu3AvDxxx9zzDHHAPDcc89RWFjIVVddVbreqlWrKuzJK0k6eIZdkiTFSWV6Dnz00Ufk5uaW+fvf//3fAz73mjVreOCBB0rn7Hrqqae4+OKLWbRoEU2aNGHmzJlVuSmSdFRIS0tjx44dpfcHDRrElClTuPTSS/nvf/8LwM033wzA8OHD6dmzJ4MHD+aee+4B4KabbuLDDz8kNzeX++67D4Bp06Zx9tlnx3hLJCnYUuJdgCRJR6uhQ4dyxx13lGs/8cQTef755wFo164deXl5B/W8u3btYsiQIYwZM6Z0AvtwOFw67DEtLY1NmzYB0R4FPXv2PPSNkKSA+fqLhf0577zzmDp1Kv379+eZZ54pt/zrLxn+/Oc/l1u2r15h7777Lj/96U8PvWBJUjn27JIkqZrp1KkTS5YsOeB6/fv3Z86cOfTv358FCxawbt06HnzwQSZMmMBHH33ENddcQ25uLmvXruWyyy7jiSeeIDc3l7lz5/K9730PiE623KFDhyO9SZIUGFdccQX9+/evsud74oknSEryskySqpI9uyRJioOKeg4kJSXRsWNHCgoKKpzHZerUqeXabr31VgCuvPLKcsumTJlS5v6iRYs47bTTCIVCB1G5JEmSVL0ZdkmSVA3ta3hjVcvKyiIrK+uIv44kSZIUS/aXlSRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQqMhAm7du/ezciRI0lPT6d27dr07duX/Px8QqEQL774YrzLkySp1K6Svbc/2xG/OiRJ5a3Zvvf2nnD86pBUsZw//IyfrJrI5cvGl/616NM53mUpQaTEu4DKiEQiDBw4kPz8fEaNGkVmZiYTJkxgwIABAGRnZ8e5QkmSoDgM45bC31fsbTtvKnQ9Fm7qAG3qxa82STraLd0Mv18I723Y23bWa3BZWxhyIiSH4lebpH1b+sxU3v31uHiXoQSUEGHX2LFjmTx5MnPnzqV9+/YA5ObmkpGRQVpaGi1btoxzhZKko104And8AFM/LdseAfK/gCunw+M50LZ+XMqTpKPa4s1w9QzYXVK2ffMeGLMYPtkGo7IhZOAlSYGQEMMYR48ezaBBg0qDLoDk5GQyMjJKe3W1bt2aU045hc6dO9O5c2dee+21eJUrSToKvbWufND1tTBQVAIPzo9pSZKkrzzwYTTo2t+oxf+sgfwN+1koKW7aXNCLSz96gvPf+gMdf3EBoeSEiDBUDVT7nl0FBQWsWLGChx9+uNyy1atXc+GFF5benzRpEh06dIhleZIkATBpJSSFoj289iUcgdkbYdU2aFU3pqVJ0lFt6WZYuKnidZJCMGlFdNi5pOrho3GTmX3PeHYWbqVxxzb0/vMwkmvWYM5v/h7v0pQAqn3YtXbtWgCaNm1apn3x4sWsWrWqyubrys3NJSkp8VLiDv/YCUDNmrXiXEmw+T4rSNyfj4xT/vYJqQ2PO+B6p589kC35L8WgoqOD+7OCxn266jXsdSnpNz5Z4TrhCLw692Me7pUVm6KOEu7PsRGE97ltSiNuq59Tpq1w/t5JUDd+uJw5v/0/sm+52LCrEvr0yWV58ZfxLqNK1KhRg61btx7046p9utO4cWMAli1bVtoWiUQYPnw44XC4TNh1+eWX07FjR66//no2bdoU61IlSUexyJ5dlVuveM8RrkSS9E3hSh+fK7eepDgJR8B59VRJ1b5nV1ZWFpmZmYwYMYLU1FTq1q3LmDFjmDNnDnXq1OHkk08GYPr06aSnp7Nr1y6GDRvGDTfcwDPPPFPp18nLy6Nnz55HajOOmNO/6hywa5cfzkeS77OCxP35yBg9D55buf/5YABqJsHKt/5F3dRYVRV87s8KGvfpqrdpF5w1BYr3M8wcotfPP83N4kbf9yrl/hwbQXif1+cv5pUf3VGmrfV5PVg7bS57tu6gUVYrOt08kJX/nhWnChPLtGl5HNfllHiXEVfVPuxKSUlh0qRJXHvttQwePJj09HSGDRtG/fr1Wb58eenQw/T0dABq1qzJ9ddfz3nnnRfPsiVJR5mBGfDcKqI/v7gPIWBAKwy6JCnGGtaEc9LhpU/2fYgOAckhuKBVrCuTVJFThnyf7qN/SlJqMkXrN7F80pvMe+SFeJelBFHtwy6ATp06MWtW2QT30UcfpXfv3gBs376d4uJiGjRoQCQS4e9//zudO3eOQ6WSpKNVm3pwdzbcOQeI7O3hlUT09nebwM/bxa8+STqa3dIh+gMhcwv3HpchejspBA+cDiccE8cCJZXz6gX/E+8SlMASIuz6tqKiIpYsWcKwYcMAWL9+PRdeeCElJSWUlJTQrl07/vznP8e3SEnSUeesE6BtPfjHSpj2GewOR0Owi1rDWS0gpdrPlClJwVQ7Bf7cHV5ZGx1yvnIb1EqCvs3hxxnRY7UkKTgSMuyaN28eJSUlpZPTt2nThjlz5sS5KkmS4MQG8OtO0T9JUvVRIxl+1DL6J0kKtoQMu7p27UokUsEMk5IkSZIkSToqOaBCkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CUdpry8PDIyMsjNzWXw4MHllo8fP56pU6eyZMkSevbsSa9evfjlL39Zbr1XX32V7t27c+aZZ/Lpp58CcO6559K7d2/69evHhg0bKC4u5uqrrz7i2yRJkiQpGCp7vQJw//3306tXL37+85+XW29f1yt//OMf6datGzk5OSxbtgyAW2+9lZ49e9KvXz82btxIYWEhN9100xHcQqk8wy6pCgwdOpS8vDwaNGjArFmzyix7+eWX6devH02aNOG1115j+vTpbNiwgaVLl5ZZb/To0UybNo3f/e53jB49GoDnn3+eN998kyFDhjBhwgRSUlI49thjWb58ecy2TZIkSVJiq8z1yvr16/nggw+YPn06KSkpzJ49u8x6+7pemThxIrNmzeI3v/kNf/nLX9i8eTMffvghb7/9NkOHDmXixImkpaWxadMmtm3bFrPtlQy7pCrUoUMH1q5dW3q/sLCQWrVqEQqFaNy4MXXr1gUgOTmZUChU5rEpKSnUqlWL9u3bk5+fD0BqaioAO3fuJCsrC4Dc3FxeeeWVWGyOjlIH+vbvvvvuo6CgYL+PLyws5LTTTivd379pxowZdOvWjR49evDQQw8BUFRUxA9+8AN69+7NlVdeCcCiRYtKT6IkSZJUNSq6Xpk9eza9e/cGoG/fvqXXJF/b1/VKeno6u3btYvPmzaSlpVGnTh0aNGhAOBwubQPo2rUreXl5sdlICcMuqUrNmjWLzMzM0vvLli2jVatWZdZZuHAhGzZs4MQTTyzTvmfPHjZu3MiMGTMoLCwEoh8+PXr04OGHHy4Nu1q1alWuV5hU1fb37V84HGbevHnl9t9vqlevHq+//jrdunUrt6xNmza89dZbzJw5k3//+9/s2LGDKVOmkJOTw5tvvklqaioLFiwgKyuLDz74gEgkckS2T5Ik6WhU0fXKpk2bqF+/PhA9n9u0aVOZx+7reiUnJ4esrCyuu+46hgwZQmpqKieccAKnnHIKjzzyCAMGDAC8hlHsGXZJVWDcuHHk5ubSokULOnfuvN/1tmzZwg033MDYsWPLLbv33nu56KKLmDhxIu3atQMgLS2NmTNncu+99/L73//+SJUv7de3v/378MMPOemkkyp8TGpqaum3eN/WvHlzatSoAUR7OCYlJZGRkcH27dsB2LZtGw0aNACiwdjChQurYjMkSZKOapW5XmnYsCFbtmwBYOvWrTRs2LDM8m9fr2zZsoXnnnuOgoICXnjhBUaNGsWiRYtYu3YtS5Ys4b777vMaRnFj2CVVga97wdx7771l2jMzM1m1ahUAkUiEq666irvvvpvmzZuXe46cnBymTZvGkCFD6Nq1K+FwmOLiYgAaNGhArVq1AFi1alWFvWqkqvTtb/8KCgpo3br1YT/v66+/Ttu2balVqxaZmZlMnz6drKwsQqEQ6enpgN8ASpIkVZXKXK+cdtppvPXWWwBMmzaNLl26lFn329croVCIY445hpSUlNJ5ucLhMI0aNSIUCpW2gdcwir2UeBcgBVlaWho7duwAovMgvfHGG2zYsAGAhx56iBYtWjB+/HhuvfVW7r77bvLy8mjRogV//etf2b59Oz/84Q9JSkqiZs2aPPnkk6XPM3To0Hhtko4S48aNY+rUqeTk5Oz327+PPvqI66+/vkzbWWedxe23317hc69Zs4YHHniAl156CYCnnnqKiy++mJ/97Gf84he/YObMmfTo0aNKtkOSJEn7983rlWbNmtGxY0d69epFx44dOf3001m3bt1+r1fq1KlD9+7d6dmzJyUlJTz88MO0b9+eSCTCGWecQSQS4amnngLgnXfe4eGHH47npuooY9glHabc3Fxyc3P3u/y8885j6tSp9O/fv3Rs+zfdeuutANx5553ceeedZZa9+eabZe4XFxfz+eefl+lpIx0JQ4cO5Y477ijXfuKJJ/L8888D0K5du4OeaHTXrl0MGTKEMWPGlE5gHw6HS4c9fvsbwJ49ex76RkiSJOmgrldGjhzJyJEjS5c1a9aswuuVfbV9e8qWwsJCGjZsSL169Q5zS6TKM+ySjrArrriiyp4rJSWFcePGVdnzSQerU6dOPPDAAwdcr3///syZM4f+/fvzhz/8gSZNmjB+/HiaNGnCRx99xDXXXAPAs88+y2WXXcbFF1/MX//6Vxo1asSIESOA6ISpHTp0OKLbI0mSdLSryuuVfUlLS3PuLsWcYZckqYyKvv1LSkqiY8eOFBQUVDjvwtSpU8u1ff2t4JVXXllu2ZQpU8rcX7RoEaeddhqhUOggKpckSZIkwy5J0kHa1/DGqpaVlUVWVtYRfx1JkiRJweOvMUqSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFRsKEXbt372bkyJGkp6dTu3Zt+vbtS35+PqFQiBdffDHe5SnANu/ee7s4HL86pKqwu2Tv7e3F8atDkiRJh2/nN87tdnpuJ5VKiXcBlRGJRBg4cCD5+fmMGjWKzMxMJkyYwIABAwDIzs6Oc4UKonVF8OdFMGXt3rZzX4dL28KgtpAUil9t0sHaXQLjCuCfK/a2nfkq/DAdrs+CBjXiV5skSZIOTlEx/HUJvLBqb9uZr8GPWsF1p0CdhLjSr5wT+n2H7OGXUL9tc4q3FbHgLy+zcMxL8S5L1VxC/C8wduxYJk+ezNy5c2nfvj0Aubm5ZGRkkJaWRsuWLeNcoYJm3Q4YPB2+3AXf7Mz1xS54+CNYtgXuyoaQgZcSQHEYfpkP735Rtn1XGJ5fBbM3wuM5Bl6SJEmJYGcxXDcTFm6CyDfad5TA3z+GuRvhrz2DEXg1792J7g9ew4wbH2XdrIWk1K7JMS2axLssJYCEGMY4evRoBg0aVBp0ASQnJ5ORkVHaq2vnzp1cd911nHjiiZx66qn89Kc/jVe5CoDfLigfdH3T5DXw5rqYliQdshdWlQ+6vhYBPtkGf1kc05IkSZJ0iJ75GBZsKht0fS0CLN4MTy+LcVFHSPZtlzDvD8/x2Yz5RErC7NlWxKYlq+NdlhJAtQ+7CgoKWLFiBRdeeGG5ZatXry4Nu2677TZq1arF0qVLmT9/Pvfcc0+sS1VAfF4UDbIqmp4rKQT/XBmriqTD848VUFEnxAjw8upod3hJkiRVXyURmLSi4nUiwHMrE3++4ZTaNWnSuS21j23IgOl/5OJ5j9H3yeHUTW8a79KUAKp9x8a1a6MTJjVtWnaHXrx4MatWrSI7O5tt27bx9NNPs2bNGkJfjSs77rjjDup1cnNzSUqq9tlfOR3+sROAmjVrxbmS4Kjb+ftk/LriMeDhCLz9cSE1c4+PUVXSIUpO4dS/bz/gajtLoFnWaez8ZEEMipKqjp+DChr3aQWJ+3PVS2nQlKzHDtyz6cvd0KBFG4oL1x5w3eqgbUojbqufU6atRsNjCCUl0eqcrrx+6b0UbdxMl7uvpM+4W3n5zFvjVGli6NMnl+XFX8a7jCpRo0YNtm7detCPq/bpTuPGjQFYtmxvP8xIJMLw4cMJh8NkZ2ezfPlyGjduzF133cXpp59Obm4uM2bMiFfJSnThSnZvCZcceB0p3iJhIpHKfa0XcZ+WJEmq1iIlB9EVP8HP7fZsi4alHz02mW1rvqCkaDcfPDCBxqdmOG+XDqja9+zKysoiMzOTESNGkJqaSt26dRkzZgxz5syhTp06nHzyycydO5ePP/6Y7OxsHnzwQd59913OPfdcli1bRv369Sv1Onl5efTs2fMIb03VO/2rDki7du2KbyEBsm0PfP+16OTd+5MEnNf+WOb6visBXPM2zNlY8dDcJjXhnYK5pFT7r0CksvwcVNC4TytI3J+rXiQCl+bB8q37nrMLotNXtKoL761blTA/qLU+fzGv/OiOMm17tu5g2+rPoxutgzJtWh7HdTkl3mXEVbW/rElJSWHSpEkcf/zxDB48mGHDhnH22WfTu3dvOnbsSFJSEi1btiQlJYVLL70UgK5du9KkSROWLl0a5+qViOqmRn+yt6LPhTDw44xYVSQdnkvbVBx0AVzcBoMuSZKkai4Ugsva7j/oguiyS9sE45fjlzw9hayrz6FO88Yk10wl+7ZL2PDhcrav3RDv0lTNVfueXQCdOnVi1qxZZdoeffRRevfuDUCTJk3o06cPr7/+OmeeeSZLly7l888/JzMzMx7lKgBuzIKlm2FuYTT0+vrDJCkUna/rlg7QoVE8K5QqL/d4GJIJTy6LfsPxdfD19e3cZvCTtvGrT5IkSZV3bjrM/zL6i9v7Orc7Nx0GtIpffVVp/p9epEaDupw35TcQSuLz/MVMG/pgvMtSAkiIsOvbioqKWLJkCcOGDStt+8tf/sJVV13FzTffTGpqKuPHj6dhw4Zxq1GJrVYK/Kk7vPhJ9JfsVm2D5BDkHAeXtIHTHSKuBHNDO+iYBv+3AmZviIa2JzWI9lA8Jz26f0uSJKn6C4VgREfo0iR6bjevMNreoVG0t/6ZzYPRqwuASIT373uG9+97Jt6VKMEkZNg1b948SkpKyM7OLm1r06YNeXl58StKgVMzORoE/DgjGgyECNCHho5KZzSL/kUi0d6KSe7PkiRJCSkUgu+1iP59PaWV1yrSXgkZdnXt2pWIk9QphgwFFCShUMVz0kmSJClxGHJJ5TkdsSRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7ArwPLy8sjIyCA3N5fBgweXWz5+/HimTp3K6tWr6dGjB2eccQZXXnklkUikzHoffvghPXv2pE+fPqxevRqAM888k169enHOOeewbds2iouLufrqq2OyXZIkVVZlPwu/9q9//YsTTzyx3Hq/+tWv6NGjB7169WL+/PkAvPrqq3Tv3p0zzzyTTz/9FGCfn6NSVTmY/blXr17UrVuXNWvWlFtv1KhRZGdnk5uby4QJEwAYPHgwOTk59OvXj7Vr1wLuzzqyDmZ/vv/+++nVqxc///nPy623r2PxH//4R7p160ZOTg7Lli0D4NZbb6Vnz57069ePjRs3UlhYyE033XQEt1BSPBl2BdzQoUPJy8ujQYMGzJo1q8yyl19+mX79+tG8eXPefvtt3nrrLZKSkkpP4r92991388ILL/CHP/yB0aNHAzB27FimT5/OBRdcwIQJE0hJSeHYY49l+fLlMds2SZIqozKfhV977rnnSE9PL/cc11xzDTNnzuTJJ5/kgQceAGD06NFMmzaN3/3ud6Wfj127dmXatGlHcGt0tKvs/vzPf/6Tiy66aL/P88gjj5CXl8dll10GwF133cWMGTMYMWIEf/rTnwD3Zx15ldmf169fzwcffMD06dNJSUlh9uzZZdbb17F44sSJzJo1i9/85jf85S9/YfPmzXz44Ye8/fbbDB06lIkTJ5KWlsamTZvYtm1bzLZXUuwYdh0lOnToUPotHUBhYSG1atUiFAqRnJxMKBQCoGbNmjRv3rzMY7dv307Tpk3p1KlT6TcjrVu3Bijz2NzcXF555ZUYbI0kSQevos9CgDfeeIOcnBySksqfHu3rcy8lJYVatWrRvn178vPzAejTpw+TJ08+wlsiHXh/btasWYWPHzZsGOeccw4rV64E9r2Puz8rViran2fPnk3v3r0B6Nu3b+nx9mv7Ohanp6eza9cuNm/eTFpaGnXq1KFBgwaEw+HSNogGunl5ebHZSEkxZdh1lJg1axaZmZml95ctW0arVq1K77/xxht07NiRdevW0aBBgzKPDYfD+7y9Y8cO/va3v/HjH/8YgFatWrF06dIjtQmSJB2WA30WPv744/scSvNNI0eO5Prrrwdgz549bNy4kRkzZlBYWAj4WajYOdD+XJFf/OIXzJ49m1GjRjF8+PDS9nA4zP3338/QoUMB92fFTkX786ZNm6hfvz4A9erVY9OmTWUeu69jcU5ODllZWVx33XUMGTKE1NRUTjjhBE455RQeeeQRBgwYALiPS0Fm2BVw48aNIzc3lxYtWtC5c+f9rte3b1/mzZtHq1atePXVV8ss++Y33N+8fe211zJq1Khy4ZgkSdVJZT4LZ8+eTbt27ahVq9Z+n+dvf/sbGRkZ9OzZE4B7772Xiy66iIkTJ9KuXbsjUbpUTmXP7SrSqFEjAL773e+ycePG0vaRI0dyySWX0KZNm6ooVTqgyuzPDRs2ZMuWLQBs3bqVhg0blln+7WPxli1beO655ygoKOCFF15g1KhRLFq0iLVr17JkyRLuu+8+fv/73x/hLZMUbynxLkBH1tChQ7njjjvKtWdmZrJq1SoAdu/eTY0aNQBo0KBBuRP9OnXq8MUXX/DZZ5+VfuPyu9/9jnbt2vG9732vdL1Vq1btc1JfSZLiqTKfhQsWLOD111/nrbfeYu7cudx33338+te/Ll131qxZTJ48meeee660LScnh2nTppGfn88bb7wB+FmoI68y+/OBbN26lXr16vHxxx9zzDHHANH56goLC7nvvvtK13N/1pFWmf35tNNO48knn+TnP/8506ZNK51n7mvfPhaHQiGOOeYYUlJSSuflCofDNGrUiFAoVNoG7uNSkNmz6yiVlpbGjh07AMjPz+eMM84gNzeXNWvW0K9fP9atW8eDDz4IRL/lO//887nxxhu57bbb2L17N7/61a949dVXyc3NZdy4cUD0F1XOPvvsuG2TJEkH45ufhUOGDGHatGm8+uqrdO7cuTTouvnmmwG4/fbbWbVqFX379i39NbC7776bvn378sgjj3DjjTcCMG3aND8LFRff3J8BBg0axJQpU7j00kv573//C+zdn4cPH07Pnj0ZPHgw99xzDwA33XQTH374Ibm5uaWBl/uz4uWb+3OzZs3o2LEjvXr1YteuXZx++ullrlW+fSyuV68e3bt3p2fPnlx88cXccssttG/fnkgkwhlnnMEdd9zBtddeC8A777xDbm5uvDZT0hEUihzlvyf89ttvk5OTw4wZM0qHJSSS01+K/jv7vIN/7NNPP03z5s3p37//YddRXFzMNddcUxp8SZIUC4fzOQhV+1kIcOWVVzJu3Lh9TnIvVUZ1ObcD92cdvuq0P39bYWEh99xzj0Maq4n1+Yt55Ufle/np0Jz94r0c1+WUeJcRVw5jPIpdccUVVfZcKSkpBl2SpIRTlZ+FAE888USVPp90MNyfFSRVvT9/W1pamkGXFGB+TSNJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAVGwoRdu3fvZuTIkaSnp1O7dm369u1Lfn4+oVCIF198Md7lxcX24nhXIElS9bBtT7wrkA6f+7GCZHfJ3tvhSPzqkHR0Sol3AZURiUQYOHAg+fn5jBo1iszMTCZMmMCAAQMAyM7OjnOFsbVmO4xbCq+u3ds25C0YciLkHh+/uiRJipXp6+CJgr33+78K32sB/+8kaFk3fnVJh+LjrfDYEvjvZ3vbfjoDrjoJujWNX13Sodi2J3qt8sKqvW0D/guXtYWBrSEpFLfSlGAuXza+zP3kGqlsKljLS/1ujlNFSiQJEXaNHTuWyZMnM3fuXNq3bw9Abm4uGRkZpKWl0bJlyzhXGDsrtsLQGdEPkfA32j/aBLe8B79sD5e3jVd1kiQdef9cAaPnl+2eXhyB19ZGQ7DHciCzftzKkw7KR5vgmrdhV0nZc7u5hfDzd+DOznDu0XOqqwS3dU/0WmXFVvhmZ65Pd8CD8+GjL+F/sg28VDnPZv6kzP3z/vsQK158O07VKNEkxDDG0aNHM2jQoNKgCyA5OZmMjAyys7NZuXIlnTt3Lv1r3bo1aWlpcaz4yPmfObCtuOzJEOy9//uFsHJrrKuSJCk21myH38yP3i73WRiBHcXw6/ch4pAZJYBwBEbMLh90QfR+BLjnQ/hiZxyKkw7BnxaVD7pg7/3/rIHXP411VQqCJp0zaXjSCSz7v2nxLkUJotqHXQUFBaxYsYILL7yw3LLVq1eTnZ1N69atmTt3bunf+eefz2WXXRaHao+sRZui3/5VNOY9BDy3av/LJUlKZM8f4DMuDCzfCvO+jEk50mHJ/wLW7CgfdH1TOAL/8txOCWDbHnj5k/JB1zclAf9YEauKFCQnXtaXtW/MoWi9H/CqnGo/jHHt2ujEVE2blp2wYPHixaxatarcfF27d+/m2Wef5bXXXjuo18nNzSUpqXpnf2lnXkOL//dwhetEgHGv5TPitF6xKUqSpBjKGPU6ddufccD1zr76Vjb+p+LPTCnejr3gdo675H8IhfZ/DhoJh3lw4mvc8MD5sStMOgS1T+xC5v3TK1wnDMz9fDc1a9aLTVFKGG1TGnFb/Zx9LkupXZOMH/Vk+o2PxriqxNWnTy7Li4MRDNaoUYOtWw9++Fr1TneAxo0bA7Bs2bLStkgkwvDhwwmHw+XCrpdeeokWLVrwne98J6Z1xkSkou/9vrmeYzckSQEVCROpzOecn4VKBJ7bKUgquT+7O+tgtT63O8VFu1kz9f14l6IEEopU6owxfoqLi8nKymLPnj08+OCD1K1blzFjxjBnzhwKCwvZunVrmR5ZP/jBDzjrrLO48cYbK/X8W7ZsYf78+Zx66qnUr1+9Z7NdvgUuzqt4nRAwOBNuaBeLiiRJiq2/LobHllY8TAbgmTPglIaxqEg6dHM3wtWVmGv5xnZwReaRr0c6HDuL4ftTYHvx/tdJCsF3m8CfuseuLiWG9fmLeeVHd+xz2dkv3sPn7y7m/fufjXFVievsF+/luC6nxLuMuKr2PbtSUlKYNGkSxx9/PIMHD2bYsGGcffbZ9O7dm44dO5YJutauXcubb77J5ZdfXunnr1+/Pj179qz2QRdA2/rwncYV/0cLAQNaxaoiSZJia0Crin/FKwno0NCgS4mhUxq0rbf/fToE1EiC89JjWpZ0SGqlRI/RFf3QYjgCP86IWUkKgPptm9P09JNZOvG/8S5FCabah10AnTp1YtasWezYsYMlS5Zw3XXXMWfOnHJDGJ966inOOeec0qGPQXR3NjSpVf5DJIlo252docUxsa9LkqRYaFob7sqOfu59OyAIAY1qwr2nxaMy6eCFQjD6dKifuo9zu1D07/7ToGHNuJQnHbRrT4ZTG5Vv//qi8/I2cMZxMS1JCe7ES/uy/t1FbF2xLt6lKMFU+wnq96WoqIglS5YwbNiwMu1PPvkkDz8c7Mlom9WB8WfAM8vhhVWwrTh6ctTzOPhJZrTnlyRJQXbWCXB8HRi/DN5cFx3SeEwK/Khl9LPw2FrxrlCqvNb1osNuxy+Hlz6BopJoyNW3GQzKhA77CA6k6qpWCvy5B/zfx/DPlbCuKNrerhFc1ga+1zwa8kqV9f69z8S7BCWoaj9n1768++67dOvWjffee4/TTz893uXETUkEtu+BmsnRP0mSjja7S2BnCRyTCsleQCnBFYej8x3VToYantspwUUi0f05OQS1E7KLhWKpojm7dPCcsytBe3Z17dq1cr/EFHDJIahfI95VSJIUPzUMBRQgKUnQwHM7BUQoBHVT412FpKNVQszZJUmSJEmSJFWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFRigSiUTiXYQkSZIkSTo67d66gy8XfRLvMgKjUVZLatSrE+8y4sqwS5IkSZIkSYHhMEZJkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgfH/AakJDMMXRdAYAAAAAElFTkSuQmCC",
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",
       "text/plain": [
        "<Figure size 1547.39x1018.38 with 1 Axes>"
       ]
@@ -776,10 +776,10 @@
    "execution_count": 18,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:29.174327Z",
-     "iopub.status.busy": "2024-10-13T14:00:29.173981Z",
-     "iopub.status.idle": "2024-10-13T14:00:29.431676Z",
-     "shell.execute_reply": "2024-10-13T14:00:29.431110Z"
+     "iopub.execute_input": "2024-10-14T00:39:54.914594Z",
+     "iopub.status.busy": "2024-10-14T00:39:54.914152Z",
+     "iopub.status.idle": "2024-10-14T00:39:55.179634Z",
+     "shell.execute_reply": "2024-10-14T00:39:55.179099Z"
     }
    },
    "outputs": [
diff --git a/dev/explanations/state-vectors-and-gates.html b/dev/explanations/state-vectors-and-gates.html
index 12d70c258..5c17e494b 100644
--- a/dev/explanations/state-vectors-and-gates.html
+++ b/dev/explanations/state-vectors-and-gates.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="Hamiltonians" href="hamiltonians.html" /><link rel="prev" title="Explanations" href="index.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>State vectors and gates - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/explanations/state-vectors-and-gates.ipynb b/dev/explanations/state-vectors-and-gates.ipynb
index 62b314b27..6c57b90dd 100644
--- a/dev/explanations/state-vectors-and-gates.ipynb
+++ b/dev/explanations/state-vectors-and-gates.ipynb
@@ -26,10 +26,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:31.965958Z",
-     "iopub.status.busy": "2024-10-13T14:00:31.965498Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.677091Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.676560Z"
+     "iopub.execute_input": "2024-10-14T00:39:57.531429Z",
+     "iopub.status.busy": "2024-10-14T00:39:57.530989Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.267655Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.267100Z"
     }
    },
    "outputs": [
@@ -74,10 +74,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.679471Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.679005Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.685798Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.685313Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.269840Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.269369Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.276219Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.275637Z"
     }
    },
    "outputs": [
@@ -120,10 +120,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.687546Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.687358Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.691539Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.691081Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.278264Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.277764Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.282028Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.281453Z"
     }
    },
    "outputs": [
@@ -157,10 +157,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.693465Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.693107Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.697011Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.696553Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.283725Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.283527Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.287644Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.287182Z"
     }
    },
    "outputs": [
@@ -199,10 +199,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.698965Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.698629Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.704802Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.704209Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.289472Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.289284Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.295017Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.294540Z"
     }
    },
    "outputs": [
@@ -245,10 +245,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.706813Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.706394Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.712202Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.711638Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.296747Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.296563Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.302081Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.301585Z"
     }
    },
    "outputs": [
@@ -293,10 +293,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:32.714141Z",
-     "iopub.status.busy": "2024-10-13T14:00:32.713824Z",
-     "iopub.status.idle": "2024-10-13T14:00:32.718681Z",
-     "shell.execute_reply": "2024-10-13T14:00:32.718222Z"
+     "iopub.execute_input": "2024-10-14T00:39:58.303915Z",
+     "iopub.status.busy": "2024-10-14T00:39:58.303546Z",
+     "iopub.status.idle": "2024-10-14T00:39:58.308544Z",
+     "shell.execute_reply": "2024-10-14T00:39:58.307990Z"
     }
    },
    "outputs": [
diff --git a/dev/genindex.html b/dev/genindex.html
index 84142a0cb..5fa90dd21 100644
--- a/dev/genindex.html
+++ b/dev/genindex.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="#" /><link rel="search" title="Search" href="search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 --><title>Index - ffsim 0.0.48.dev0</title>
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 --><title>Index - ffsim 0.0.48.dev0</title>
 <link rel="stylesheet" type="text/css" href="_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=a746c00c" />
     <link rel="stylesheet" type="text/css" href="_static/styles/qiskit-sphinx-theme.css?v=8ff9dcb6" />
diff --git a/dev/how-to-guides/entanglement-forging.html b/dev/how-to-guides/entanglement-forging.html
index 952b370df..a33605b62 100644
--- a/dev/how-to-guides/entanglement-forging.html
+++ b/dev/how-to-guides/entanglement-forging.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="How to use the FermionOperator class" href="fermion-operator.html" /><link rel="prev" title="How to simulate the local unitary cluster Jastrow (LUCJ) ansatz" href="lucj.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>How to simulate entanglement forging - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
@@ -335,7 +335,7 @@ <h2>Build a molecule<a class="headerlink" href="#Build-a-molecule" title="Link t
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 converged SCF energy = -75.6787887956297
-Parsing /tmp/tmp4yegu0sa
+Parsing /tmp/tmpjtn9ltdu
 converged SCF energy = -75.6787887956314
 CASCI E = -75.7288249991515  E(CI) = -23.6332495815006  S^2 = 0.0000000
 norb = 6
@@ -347,7 +347,7 @@ <h2>Build a molecule<a class="headerlink" href="#Build-a-molecule" title="Link t
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-Overwritten attributes  get_ovlp get_hcore  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable
@@ -425,7 +425,7 @@ <h2>Compute energy<a class="headerlink" href="#Compute-energy" title="Link to th
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Energy at initialialization: -75.67794403659724
+Energy at initialialization: -75.67794403659725
 </pre></div></div>
 </div>
 </section>
@@ -471,10 +471,10 @@ <h2>Optimize energy<a class="headerlink" href="#Optimize-energy" title="Link to
   message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT
   success: False
    status: 1
-      fun: -75.68381566723333
-        x: [-1.603e-01  6.419e-03 ...  5.748e-02 -1.005e-01]
+      fun: -75.68381565459354
+        x: [-1.603e-01  6.418e-03 ...  5.748e-02 -1.005e-01]
       nit: 3
-      jac: [ 2.132e-04  1.080e-04 ... -4.748e-03  7.381e-03]
+      jac: [ 2.132e-04  1.066e-04 ... -4.744e-03  7.427e-03]
      nfev: 112
      njev: 7
  hess_inv: &lt;15x15 LbfgsInvHessProduct with dtype=float64&gt;
diff --git a/dev/how-to-guides/entanglement-forging.ipynb b/dev/how-to-guides/entanglement-forging.ipynb
index 95aaf3821..e4b91ff49 100644
--- a/dev/how-to-guides/entanglement-forging.ipynb
+++ b/dev/how-to-guides/entanglement-forging.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:34.436722Z",
-     "iopub.status.busy": "2024-10-13T14:00:34.436349Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.436937Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.436172Z"
+     "iopub.execute_input": "2024-10-14T00:40:00.022199Z",
+     "iopub.status.busy": "2024-10-14T00:40:00.021997Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.000225Z",
+     "shell.execute_reply": "2024-10-14T00:40:00.999639Z"
     }
    },
    "outputs": [
@@ -36,7 +36,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmp4yegu0sa\n",
+      "Parsing /tmp/tmpjtn9ltdu\n",
       "converged SCF energy = -75.6787887956314\n"
      ]
     },
@@ -59,7 +59,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -125,10 +125,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.440423Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.439456Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.444803Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.444163Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.003372Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.002959Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.007601Z",
+     "shell.execute_reply": "2024-10-14T00:40:01.007143Z"
     }
    },
    "outputs": [],
@@ -168,10 +168,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.447129Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.446583Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.450220Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.449639Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.009636Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.009252Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.012473Z",
+     "shell.execute_reply": "2024-10-14T00:40:01.012028Z"
     }
    },
    "outputs": [],
@@ -200,10 +200,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.452235Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.451915Z",
-     "iopub.status.idle": "2024-10-13T14:00:35.568883Z",
-     "shell.execute_reply": "2024-10-13T14:00:35.568226Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.014627Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.014242Z",
+     "iopub.status.idle": "2024-10-14T00:40:01.126731Z",
+     "shell.execute_reply": "2024-10-14T00:40:01.126125Z"
     }
    },
    "outputs": [
@@ -211,7 +211,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialialization: -75.67794403659724\n"
+      "Energy at initialialization: -75.67794403659725\n"
      ]
     }
    ],
@@ -238,10 +238,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:35.570940Z",
-     "iopub.status.busy": "2024-10-13T14:00:35.570630Z",
-     "iopub.status.idle": "2024-10-13T14:00:43.507820Z",
-     "shell.execute_reply": "2024-10-13T14:00:43.507279Z"
+     "iopub.execute_input": "2024-10-14T00:40:01.128845Z",
+     "iopub.status.busy": "2024-10-14T00:40:01.128492Z",
+     "iopub.status.idle": "2024-10-14T00:40:09.018193Z",
+     "shell.execute_reply": "2024-10-14T00:40:09.017613Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
       "  message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -75.68381566723333\n",
-      "        x: [-1.603e-01  6.419e-03 ...  5.748e-02 -1.005e-01]\n",
+      "      fun: -75.68381565459354\n",
+      "        x: [-1.603e-01  6.418e-03 ...  5.748e-02 -1.005e-01]\n",
       "      nit: 3\n",
-      "      jac: [ 2.132e-04  1.080e-04 ... -4.748e-03  7.381e-03]\n",
+      "      jac: [ 2.132e-04  1.066e-04 ... -4.744e-03  7.427e-03]\n",
       "     nfev: 112\n",
       "     njev: 7\n",
       " hess_inv: <15x15 LbfgsInvHessProduct with dtype=float64>\n"
diff --git a/dev/how-to-guides/fermion-operator.html b/dev/how-to-guides/fermion-operator.html
index e99a5f1ae..ae6f22942 100644
--- a/dev/how-to-guides/fermion-operator.html
+++ b/dev/how-to-guides/fermion-operator.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="How to build and transpile Qiskit quantum circuits" href="qiskit-circuits.html" /><link rel="prev" title="How to simulate entanglement forging" href="entanglement-forging.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>How to use the FermionOperator class - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
@@ -315,9 +315,9 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_b(1), des_b(5), cre_a(4)): 1+1j,
     (cre_a(0), des_a(3)): 0.5,
-    (cre_a(3), des_a(0)): -0.25
+    (cre_a(3), des_a(0)): -0.25,
+    (cre_b(1), des_b(5), cre_a(4)): 1+1j
 })
 </pre></div></div>
 </div>
@@ -336,7 +336,7 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&#39;FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j})&#39;
+&#39;FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j})&#39;
 </pre></div></div>
 </div>
 <p>FermionOperators support arithmetic operations. Note that when multiplying a FermionOperator by a scalar, the scalar must go on the left, i.e. <code class="docutils literal notranslate"><span class="pre">2</span> <span class="pre">*</span> <span class="pre">op</span></code> and not <code class="docutils literal notranslate"><span class="pre">op</span> <span class="pre">*</span> <span class="pre">2</span></code>.</p>
@@ -364,17 +364,17 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
-    (des_a(3), des_b(3)): 0.0625,
-    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
-    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,
-    (cre_b(2)): 0-0.25j,
     (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,
+    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
     (cre_a(3), des_a(0)): -0.5,
     (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,
-    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
-    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,
-    (cre_a(0), des_a(3)): 1
+    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,
+    (cre_b(1), des_b(5), cre_a(4)): 2+2j,
+    (cre_a(0), des_a(3)): 1,
+    (cre_b(2)): 0-0.25j,
+    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
+    (des_a(3), des_b(3)): 0.0625,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625
 })
 </pre></div></div>
 </div>
@@ -403,17 +403,17 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
-    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
-    (des_a(3), des_b(3)): 0-1.25j,
-    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
-    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,
-    (cre_b(2)): -5,
     (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,
+    (cre_a(3), des_a(0), cre_b(2)): -1,
     (cre_a(3), des_a(0)): 0+3j,
     (cre_a(0), des_a(3), cre_b(2)): 2,
-    (cre_a(3), des_a(0), cre_b(2)): -1,
-    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
-    (cre_a(0), des_a(3)): 0-6j
+    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,
+    (cre_b(1), des_b(5), cre_a(4)): 12-12j,
+    (cre_a(0), des_a(3)): 0-6j,
+    (cre_b(2)): -5,
+    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
+    (des_a(3), des_b(3)): 0-1.25j,
+    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j
 })
 </pre></div></div>
 </div>
@@ -434,15 +434,15 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 FermionOperator({
+    (cre_a(3), des_a(0)): 0+3j,
     (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
+    (cre_b(2)): -5,
+    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
+    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
     (cre_b(2), cre_a(0), des_a(3)): 2,
-    (cre_a(3), des_a(0)): 0+3j,
-    (cre_b(2), cre_a(3), des_a(0)): -1,
     (cre_a(0), des_a(3)): 0-6j,
-    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
-    (cre_b(2)): -5,
+    (cre_b(2), cre_a(3), des_a(0)): -1,
     (cre_b(1), cre_a(4), des_b(5)): -12+12j,
-    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
     (des_b(3), des_a(3)): 0+1.25j
 })
 </pre></div></div>
@@ -512,11 +512,11 @@ <h1>How to use the FermionOperator class<a class="headerlink" href="#How-to-use-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-array([ 0.        +0.j       ,  0.        +0.j       ,
-        0.        +0.j       ,  0.        +0.j       ,
-       -0.11913479-0.1768497j,  0.        +0.j       ,
-        0.        +0.j       ,  0.        +0.j       ,
-        0.        +0.j       ])
+array([0.        +0.j        , 0.        +0.j        ,
+       0.        +0.j        , 0.        +0.j        ,
+       0.01074568-0.00552022j, 0.        +0.j        ,
+       0.        +0.j        , 0.        +0.j        ,
+       0.        +0.j        ])
 </pre></div></div>
 </div>
 <p>It can also be passed into most linear algebra routines in <code class="docutils literal notranslate"><span class="pre">scipy.sparse.linalg</span></code>.</p>
diff --git a/dev/how-to-guides/fermion-operator.ipynb b/dev/how-to-guides/fermion-operator.ipynb
index d75adfc94..6d5c4263d 100644
--- a/dev/how-to-guides/fermion-operator.ipynb
+++ b/dev/how-to-guides/fermion-operator.ipynb
@@ -29,10 +29,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.032136Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.031947Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.745675Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.745150Z"
+     "iopub.execute_input": "2024-10-14T00:40:10.537175Z",
+     "iopub.status.busy": "2024-10-14T00:40:10.536988Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.236642Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.236027Z"
     }
    },
    "outputs": [
@@ -40,9 +40,9 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n",
        "    (cre_a(0), des_a(3)): 0.5,\n",
-       "    (cre_a(3), des_a(0)): -0.25\n",
+       "    (cre_a(3), des_a(0)): -0.25,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 1+1j\n",
        "})"
       ]
      },
@@ -76,17 +76,17 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.748014Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.747580Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.751636Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.751057Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.239140Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.238668Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.242545Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.242077Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'FermionOperator({((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j})'"
+       "'FermionOperator({((True, False, 0), (False, False, 3)): 0.5+0j, ((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j})'"
       ]
      },
      "execution_count": 2,
@@ -110,10 +110,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.753586Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.753265Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.757619Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.757065Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.244488Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.244140Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.248601Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.248021Z"
     }
    },
    "outputs": [
@@ -121,17 +121,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
-       "    (des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
-       "    (cre_b(2)): 0-0.25j,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): -1+1j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
        "    (cre_a(3), des_a(0)): -0.5,\n",
        "    (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625,\n",
-       "    (cre_a(0), des_a(3)): 1\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 2+2j,\n",
+       "    (cre_a(0), des_a(3)): 1,\n",
+       "    (cre_b(2)): 0-0.25j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n",
+       "    (des_a(3), des_b(3)): 0.0625,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0.0625\n",
        "})"
       ]
      },
@@ -170,10 +170,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.759466Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.759142Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.763047Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.762499Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.250475Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.250150Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.254006Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.253526Z"
     }
    },
    "outputs": [
@@ -181,17 +181,17 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
-       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
-       "    (des_a(3), des_b(3)): 0-1.25j,\n",
-       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
-       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
-       "    (cre_b(2)): -5,\n",
        "    (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n",
+       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
        "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_a(0), des_a(3), cre_b(2)): 2,\n",
-       "    (cre_a(3), des_a(0), cre_b(2)): -1,\n",
-       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n",
-       "    (cre_a(0), des_a(3)): 0-6j\n",
+       "    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j,\n",
+       "    (cre_b(1), des_b(5), cre_a(4)): 12-12j,\n",
+       "    (cre_a(0), des_a(3)): 0-6j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n",
+       "    (des_a(3), des_b(3)): 0-1.25j,\n",
+       "    (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j\n",
        "})"
       ]
      },
@@ -220,10 +220,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.765095Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.764734Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.768444Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.767944Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.255938Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.255488Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.259339Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.258739Z"
     }
    },
    "outputs": [
@@ -231,15 +231,15 @@
      "data": {
       "text/plain": [
        "FermionOperator({\n",
+       "    (cre_a(3), des_a(0)): 0+3j,\n",
        "    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n",
+       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
+       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
        "    (cre_b(2), cre_a(0), des_a(3)): 2,\n",
-       "    (cre_a(3), des_a(0)): 0+3j,\n",
-       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
        "    (cre_a(0), des_a(3)): 0-6j,\n",
-       "    (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n",
-       "    (cre_b(2)): -5,\n",
+       "    (cre_b(2), cre_a(3), des_a(0)): -1,\n",
        "    (cre_b(1), cre_a(4), des_b(5)): -12+12j,\n",
-       "    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n",
        "    (des_b(3), des_a(3)): 0+1.25j\n",
        "})"
       ]
@@ -265,10 +265,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.770328Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.769966Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.772964Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.772352Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.261336Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.261150Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.264020Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.263565Z"
     }
    },
    "outputs": [
@@ -298,10 +298,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.774857Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.774665Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.778902Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.778365Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.265837Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.265497Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.269774Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.269294Z"
     }
    },
    "outputs": [
@@ -341,21 +341,21 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.805433Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.805065Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.810851Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.810272Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.287130Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.286730Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.292396Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.291816Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([ 0.        +0.j       ,  0.        +0.j       ,\n",
-       "        0.        +0.j       ,  0.        +0.j       ,\n",
-       "       -0.11913479-0.1768497j,  0.        +0.j       ,\n",
-       "        0.        +0.j       ,  0.        +0.j       ,\n",
-       "        0.        +0.j       ])"
+       "array([0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.01074568-0.00552022j, 0.        +0.j        ,\n",
+       "       0.        +0.j        , 0.        +0.j        ,\n",
+       "       0.        +0.j        ])"
       ]
      },
      "execution_count": 8,
@@ -380,10 +380,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:45.812824Z",
-     "iopub.status.busy": "2024-10-13T14:00:45.812456Z",
-     "iopub.status.idle": "2024-10-13T14:00:45.823788Z",
-     "shell.execute_reply": "2024-10-13T14:00:45.823327Z"
+     "iopub.execute_input": "2024-10-14T00:40:11.294684Z",
+     "iopub.status.busy": "2024-10-14T00:40:11.294146Z",
+     "iopub.status.idle": "2024-10-14T00:40:11.304752Z",
+     "shell.execute_reply": "2024-10-14T00:40:11.304279Z"
     }
    },
    "outputs": [
diff --git a/dev/how-to-guides/index.html b/dev/how-to-guides/index.html
index ab9ebec27..db7234656 100644
--- a/dev/how-to-guides/index.html
+++ b/dev/how-to-guides/index.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="How to simulate the local unitary cluster Jastrow (LUCJ) ansatz" href="lucj.html" /><link rel="prev" title="Qubit gate decompositions of fermionic gates" href="../explanations/qiskit-gate-decompositions.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>How-to guides - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
diff --git a/dev/how-to-guides/lucj.html b/dev/how-to-guides/lucj.html
index cc3a002f4..b26d12517 100644
--- a/dev/how-to-guides/lucj.html
+++ b/dev/how-to-guides/lucj.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="How to simulate entanglement forging" href="entanglement-forging.html" /><link rel="prev" title="How-to guides" href="index.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>How to simulate the local unitary cluster Jastrow (LUCJ) ansatz - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
@@ -331,9 +331,9 @@ <h1>How to simulate the local unitary cluster Jastrow (LUCJ) ansatz<a class="hea
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 converged SCF energy = -77.8266321248745
-Parsing /tmp/tmpjk2lvol7
-converged SCF energy = -77.8266321248745
-CASCI E = -77.8742165643863  E(CI) = -4.02122442107772  S^2 = 0.0000000
+Parsing /tmp/tmpipmpgn90
+converged SCF energy = -77.8266321248744
+CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000
 norb = 4
 nelec = (2, 2)
 </pre></div></div>
@@ -343,7 +343,7 @@ <h1>How to simulate the local unitary cluster Jastrow (LUCJ) ansatz<a class="hea
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-Overwritten attributes  get_ovlp get_hcore  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
+Overwritten attributes  get_hcore get_ovlp  of &lt;class &#39;pyscf.scf.hf.RHF&#39;&gt;
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable
@@ -388,8 +388,8 @@ <h2>General UCJ ansatz<a class="headerlink" href="#General-UCJ-ansatz" title="Li
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-E(CCSD) = -77.87421536374038  E_corr = -0.0475832388658593
-Energy at initialization: -77.8716002481628
+E(CCSD) = -77.87421536374038  E_corr = -0.04758323886585292
+Energy at initialization: -77.87160024816276
 </pre></div></div>
 </div>
 <div class="nboutput nblast docutils container">
@@ -435,10 +435,10 @@ <h2>General UCJ ansatz<a class="headerlink" href="#General-UCJ-ansatz" title="Li
   message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT
   success: False
    status: 1
-      fun: -77.87387392160812
-        x: [ 4.027e-04 -1.355e+00 ...  1.028e-04  1.286e-01]
+      fun: -77.87387392107806
+        x: [-1.152e+00  1.172e-04 ...  2.137e-04  1.286e-01]
       nit: 10
-      jac: [ 2.842e-06  3.268e-05 ... -7.105e-06  1.421e-05]
+      jac: [-2.132e-05 -1.705e-05 ...  9.948e-06  2.558e-05]
      nfev: 949
      njev: 13
  hess_inv: &lt;72x72 LbfgsInvHessProduct with dtype=float64&gt;
@@ -486,10 +486,10 @@ <h2>LUCJ ansatz<a class="headerlink" href="#LUCJ-ansatz" title="Link to this hea
   message: CONVERGENCE: REL_REDUCTION_OF_F_&lt;=_FACTR*EPSMCH
   success: True
    status: 0
-      fun: -77.87363426349258
-        x: [-1.597e-05 -1.355e+00 ...  3.522e-02  2.561e-01]
+      fun: -77.87363426228193
+        x: [-1.152e+00  1.000e-04 ...  3.520e-02  2.561e-01]
       nit: 5
-      jac: [-9.948e-06 -2.558e-05 ...  5.684e-06  0.000e+00]
+      jac: [ 8.527e-06  5.684e-06 ...  2.842e-06  2.842e-06]
      nfev: 329
      njev: 7
  hess_inv: &lt;46x46 LbfgsInvHessProduct with dtype=float64&gt;
@@ -567,29 +567,29 @@ <h2>Optimize with the linear method<a class="headerlink" href="#Optimize-with-th
 Number of parameters: 46
  message: Convergence: Relative reduction of objective function &lt;= ftol.
  success: True
-     fun: -77.87363432511088
-       x: [-3.313e-04 -1.355e+00 ...  3.487e-02  2.560e-01]
+     fun: -77.87363433774676
+       x: [-1.151e+00 -4.786e-04 ...  3.460e-02  2.562e-01]
      nit: 3
-     jac: [ 1.784e-07  2.931e-07 ... -1.786e-08 -8.184e-08]
-    nfev: 505
+     jac: [ 3.337e-07  5.792e-08 ... -1.024e-06 -2.342e-06]
+    nfev: 499
     njev: 4
-  nlinop: 321
+  nlinop: 315
 
 Iteration 1
-    Energy: -77.87363211276133
-    Norm of gradient: 0.001077175434025257
-    Regularization hyperparameter: 0.0019643765948696573
-    Variation hyperparameter: 0.9998325692268615
+    Energy: -77.87361987555248
+    Norm of gradient: 0.0032781409953260296
+    Regularization hyperparameter: 0.0010523491138414635
+    Variation hyperparameter: 0.9632214497840799
 Iteration 2
-    Energy: -77.87363431877952
-    Norm of gradient: 4.5063930555114564e-05
-    Regularization hyperparameter: 0.002588354198428117
-    Variation hyperparameter: 0.9998350010818127
+    Energy: -77.87363426607693
+    Norm of gradient: 0.00016343445189686165
+    Regularization hyperparameter: 0.003816852276304379
+    Variation hyperparameter: 0.9644176461515346
 Iteration 3
-    Energy: -77.87363432511088
-    Norm of gradient: 7.076943426386996e-06
-    Regularization hyperparameter: 0.002588354198428117
-    Variation hyperparameter: 0.9998350010818127
+    Energy: -77.87363433774676
+    Norm of gradient: 1.3736011916390138e-05
+    Regularization hyperparameter: 0.0033881655844765417
+    Variation hyperparameter: 0.9645028365517818
 </pre></div></div>
 </div>
 </section>
diff --git a/dev/how-to-guides/lucj.ipynb b/dev/how-to-guides/lucj.ipynb
index 1fa07349b..f39a74241 100644
--- a/dev/how-to-guides/lucj.ipynb
+++ b/dev/how-to-guides/lucj.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:47.768598Z",
-     "iopub.status.busy": "2024-10-13T14:00:47.768410Z",
-     "iopub.status.idle": "2024-10-13T14:00:48.769102Z",
-     "shell.execute_reply": "2024-10-13T14:00:48.768361Z"
+     "iopub.execute_input": "2024-10-14T00:40:13.137371Z",
+     "iopub.status.busy": "2024-10-14T00:40:13.137186Z",
+     "iopub.status.idle": "2024-10-14T00:40:14.132918Z",
+     "shell.execute_reply": "2024-10-14T00:40:14.132341Z"
     }
    },
    "outputs": [
@@ -34,15 +34,15 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Parsing /tmp/tmpjk2lvol7\n",
-      "converged SCF energy = -77.8266321248745\n"
+      "Parsing /tmp/tmpipmpgn90\n",
+      "converged SCF energy = -77.8266321248744\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "CASCI E = -77.8742165643863  E(CI) = -4.02122442107772  S^2 = 0.0000000\n"
+      "CASCI E = -77.8742165643862  E(CI) = -4.02122442107773  S^2 = 0.0000000\n"
      ]
     },
     {
@@ -57,7 +57,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>\n",
+      "Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n",
       "  warnings.warn(msg)\n",
       "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n",
@@ -123,10 +123,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:48.771902Z",
-     "iopub.status.busy": "2024-10-13T14:00:48.771348Z",
-     "iopub.status.idle": "2024-10-13T14:00:48.842394Z",
-     "shell.execute_reply": "2024-10-13T14:00:48.841838Z"
+     "iopub.execute_input": "2024-10-14T00:40:14.136170Z",
+     "iopub.status.busy": "2024-10-14T00:40:14.135625Z",
+     "iopub.status.idle": "2024-10-14T00:40:14.206018Z",
+     "shell.execute_reply": "2024-10-14T00:40:14.205383Z"
     }
    },
    "outputs": [
@@ -134,14 +134,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(CCSD) = -77.87421536374038  E_corr = -0.0475832388658593\n"
+      "E(CCSD) = -77.87421536374038  E_corr = -0.04758323886585292\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Energy at initialization: -77.8716002481628\n"
+      "Energy at initialization: -77.87160024816276\n"
      ]
     },
     {
@@ -189,10 +189,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:00:48.845165Z",
-     "iopub.status.busy": "2024-10-13T14:00:48.844580Z",
-     "iopub.status.idle": "2024-10-13T14:02:33.385445Z",
-     "shell.execute_reply": "2024-10-13T14:02:33.384855Z"
+     "iopub.execute_input": "2024-10-14T00:40:14.208416Z",
+     "iopub.status.busy": "2024-10-14T00:40:14.208145Z",
+     "iopub.status.idle": "2024-10-14T00:41:59.619519Z",
+     "shell.execute_reply": "2024-10-14T00:41:59.618957Z"
     }
    },
    "outputs": [
@@ -204,10 +204,10 @@
       "  message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n",
       "  success: False\n",
       "   status: 1\n",
-      "      fun: -77.87387392160812\n",
-      "        x: [ 4.027e-04 -1.355e+00 ...  1.028e-04  1.286e-01]\n",
+      "      fun: -77.87387392107806\n",
+      "        x: [-1.152e+00  1.172e-04 ...  2.137e-04  1.286e-01]\n",
       "      nit: 10\n",
-      "      jac: [ 2.842e-06  3.268e-05 ... -7.105e-06  1.421e-05]\n",
+      "      jac: [-2.132e-05 -1.705e-05 ...  9.948e-06  2.558e-05]\n",
       "     nfev: 949\n",
       "     njev: 13\n",
       " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n"
@@ -251,10 +251,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:02:33.388440Z",
-     "iopub.status.busy": "2024-10-13T14:02:33.387917Z",
-     "iopub.status.idle": "2024-10-13T14:03:10.131727Z",
-     "shell.execute_reply": "2024-10-13T14:03:10.131138Z"
+     "iopub.execute_input": "2024-10-14T00:41:59.621624Z",
+     "iopub.status.busy": "2024-10-14T00:41:59.621329Z",
+     "iopub.status.idle": "2024-10-14T00:42:36.376455Z",
+     "shell.execute_reply": "2024-10-14T00:42:36.375865Z"
     }
    },
    "outputs": [
@@ -266,10 +266,10 @@
       "  message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n",
       "  success: True\n",
       "   status: 0\n",
-      "      fun: -77.87363426349258\n",
-      "        x: [-1.597e-05 -1.355e+00 ...  3.522e-02  2.561e-01]\n",
+      "      fun: -77.87363426228193\n",
+      "        x: [-1.152e+00  1.000e-04 ...  3.520e-02  2.561e-01]\n",
       "      nit: 5\n",
-      "      jac: [-9.948e-06 -2.558e-05 ...  5.684e-06  0.000e+00]\n",
+      "      jac: [ 8.527e-06  5.684e-06 ...  2.842e-06  2.842e-06]\n",
       "     nfev: 329\n",
       "     njev: 7\n",
       " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n"
@@ -314,10 +314,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:10.134869Z",
-     "iopub.status.busy": "2024-10-13T14:03:10.134392Z",
-     "iopub.status.idle": "2024-10-13T14:03:26.645397Z",
-     "shell.execute_reply": "2024-10-13T14:03:26.644794Z"
+     "iopub.execute_input": "2024-10-14T00:42:36.380070Z",
+     "iopub.status.busy": "2024-10-14T00:42:36.379256Z",
+     "iopub.status.idle": "2024-10-14T00:42:52.186954Z",
+     "shell.execute_reply": "2024-10-14T00:42:52.186293Z"
     }
    },
    "outputs": [
@@ -328,29 +328,29 @@
       "Number of parameters: 46\n",
       " message: Convergence: Relative reduction of objective function <= ftol.\n",
       " success: True\n",
-      "     fun: -77.87363432511088\n",
-      "       x: [-3.313e-04 -1.355e+00 ...  3.487e-02  2.560e-01]\n",
+      "     fun: -77.87363433774676\n",
+      "       x: [-1.151e+00 -4.786e-04 ...  3.460e-02  2.562e-01]\n",
       "     nit: 3\n",
-      "     jac: [ 1.784e-07  2.931e-07 ... -1.786e-08 -8.184e-08]\n",
-      "    nfev: 505\n",
+      "     jac: [ 3.337e-07  5.792e-08 ... -1.024e-06 -2.342e-06]\n",
+      "    nfev: 499\n",
       "    njev: 4\n",
-      "  nlinop: 321\n",
+      "  nlinop: 315\n",
       "\n",
       "Iteration 1\n",
-      "    Energy: -77.87363211276133\n",
-      "    Norm of gradient: 0.001077175434025257\n",
-      "    Regularization hyperparameter: 0.0019643765948696573\n",
-      "    Variation hyperparameter: 0.9998325692268615\n",
+      "    Energy: -77.87361987555248\n",
+      "    Norm of gradient: 0.0032781409953260296\n",
+      "    Regularization hyperparameter: 0.0010523491138414635\n",
+      "    Variation hyperparameter: 0.9632214497840799\n",
       "Iteration 2\n",
-      "    Energy: -77.87363431877952\n",
-      "    Norm of gradient: 4.5063930555114564e-05\n",
-      "    Regularization hyperparameter: 0.002588354198428117\n",
-      "    Variation hyperparameter: 0.9998350010818127\n",
+      "    Energy: -77.87363426607693\n",
+      "    Norm of gradient: 0.00016343445189686165\n",
+      "    Regularization hyperparameter: 0.003816852276304379\n",
+      "    Variation hyperparameter: 0.9644176461515346\n",
       "Iteration 3\n",
-      "    Energy: -77.87363432511088\n",
-      "    Norm of gradient: 7.076943426386996e-06\n",
-      "    Regularization hyperparameter: 0.002588354198428117\n",
-      "    Variation hyperparameter: 0.9998350010818127\n"
+      "    Energy: -77.87363433774676\n",
+      "    Norm of gradient: 1.3736011916390138e-05\n",
+      "    Regularization hyperparameter: 0.0033881655844765417\n",
+      "    Variation hyperparameter: 0.9645028365517818\n"
      ]
     }
    ],
diff --git a/dev/how-to-guides/qiskit-circuits.html b/dev/how-to-guides/qiskit-circuits.html
index 7daa4f74a..f497a5935 100644
--- a/dev/how-to-guides/qiskit-circuits.html
+++ b/dev/how-to-guides/qiskit-circuits.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="How to use ffsim’s Qiskit Sampler primitive" href="qiskit-sampler.html" /><link rel="prev" title="How to use the FermionOperator class" href="fermion-operator.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>How to build and transpile Qiskit quantum circuits - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
@@ -391,7 +391,7 @@ <h4>Prepare Hartree-Fock state<a class="headerlink" href="#Prepare-Hartree-Fock-
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f3360558250&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f5056069510&gt;
 </pre></div></div>
 </div>
 </section>
@@ -420,7 +420,7 @@ <h4>Prepare Slater determinant<a class="headerlink" href="#Prepare-Slater-determ
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f33604aa500&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f505611d7e0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -447,7 +447,7 @@ <h4>Orbital rotation<a class="headerlink" href="#Orbital-rotation" title="Link t
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f33604aa620&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f50567714e0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -469,7 +469,7 @@ <h4>Number operator sum evolution<a class="headerlink" href="#Number-operator-su
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f336061a6b0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f505611dab0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -494,7 +494,7 @@ <h4>Diagonal Coulomb evolution<a class="headerlink" href="#Diagonal-Coulomb-evol
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f336044f850&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f50560b6b60&gt;
 </pre></div></div>
 </div>
 </section>
@@ -517,7 +517,7 @@ <h4>Spin-balanced unitary cluster Jastrow (UCJ) operator<a class="headerlink" hr
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f33605581c0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f5056069090&gt;
 </pre></div></div>
 </div>
 </section>
@@ -540,7 +540,7 @@ <h4>Spin-unbalanced unitary cluster Jastrow (UCJ) operator<a class="headerlink"
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f336044f3d0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f505611e4d0&gt;
 </pre></div></div>
 </div>
 </section>
@@ -567,7 +567,7 @@ <h4>Trotter simulation of double-factorized Hamiltonian<a class="headerlink" hre
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f336044d6c0&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f505591c340&gt;
 </pre></div></div>
 </div>
 </section>
diff --git a/dev/how-to-guides/qiskit-circuits.ipynb b/dev/how-to-guides/qiskit-circuits.ipynb
index ba7bed5f1..3b87f8b5f 100644
--- a/dev/how-to-guides/qiskit-circuits.ipynb
+++ b/dev/how-to-guides/qiskit-circuits.ipynb
@@ -16,10 +16,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:28.203177Z",
-     "iopub.status.busy": "2024-10-13T14:03:28.202988Z",
-     "iopub.status.idle": "2024-10-13T14:03:28.895458Z",
-     "shell.execute_reply": "2024-10-13T14:03:28.894919Z"
+     "iopub.execute_input": "2024-10-14T00:42:53.772124Z",
+     "iopub.status.busy": "2024-10-14T00:42:53.771940Z",
+     "iopub.status.idle": "2024-10-14T00:42:54.462955Z",
+     "shell.execute_reply": "2024-10-14T00:42:54.462433Z"
     }
    },
    "outputs": [],
@@ -54,10 +54,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:28.898150Z",
-     "iopub.status.busy": "2024-10-13T14:03:28.897611Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.469998Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.469462Z"
+     "iopub.execute_input": "2024-10-14T00:42:54.465357Z",
+     "iopub.status.busy": "2024-10-14T00:42:54.464876Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.034004Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.033358Z"
     }
    },
    "outputs": [
@@ -103,10 +103,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.472205Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.471728Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.531029Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.530408Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.036360Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.035743Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.095320Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.094838Z"
     }
    },
    "outputs": [
@@ -160,17 +160,17 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.533223Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.532838Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.536833Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.536357Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.097545Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.096992Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.101329Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.100740Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f3360558250>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f5056069510>"
       ]
      },
      "execution_count": 4,
@@ -195,17 +195,17 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.538551Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.538357Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.543424Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.542825Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.103406Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.103030Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.107712Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.107242Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f33604aa500>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505611d7e0>"
       ]
      },
      "execution_count": 5,
@@ -242,17 +242,17 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.545620Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.545257Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.550094Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.549486Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.109501Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.109311Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.113852Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.113385Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f33604aa620>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f50567714e0>"
       ]
      },
      "execution_count": 6,
@@ -279,17 +279,17 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.552047Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.551858Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.556306Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.555695Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.115795Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.115601Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.119962Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.119358Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336061a6b0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505611dab0>"
       ]
      },
      "execution_count": 7,
@@ -315,17 +315,17 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.558383Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.558016Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.562462Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.561853Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.122005Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.121642Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.126078Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.125468Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336044f850>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f50560b6b60>"
       ]
      },
      "execution_count": 8,
@@ -354,17 +354,17 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.564222Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.564033Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.569297Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.568726Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.127774Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.127592Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.132445Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.131986Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f33605581c0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f5056069090>"
       ]
      },
      "execution_count": 9,
@@ -391,17 +391,17 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.571475Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.570979Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.576527Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.575916Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.134370Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.134025Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.139402Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.138817Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336044f3d0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505611e4d0>"
       ]
      },
      "execution_count": 10,
@@ -428,17 +428,17 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:29.578297Z",
-     "iopub.status.busy": "2024-10-13T14:03:29.578110Z",
-     "iopub.status.idle": "2024-10-13T14:03:29.584130Z",
-     "shell.execute_reply": "2024-10-13T14:03:29.583534Z"
+     "iopub.execute_input": "2024-10-14T00:42:55.141282Z",
+     "iopub.status.busy": "2024-10-14T00:42:55.140946Z",
+     "iopub.status.idle": "2024-10-14T00:42:55.146515Z",
+     "shell.execute_reply": "2024-10-14T00:42:55.146056Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f336044d6c0>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7f505591c340>"
       ]
      },
      "execution_count": 11,
diff --git a/dev/how-to-guides/qiskit-sampler.html b/dev/how-to-guides/qiskit-sampler.html
index 732869164..2f8a0c29b 100644
--- a/dev/how-to-guides/qiskit-sampler.html
+++ b/dev/how-to-guides/qiskit-sampler.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="API reference" href="../api/index.html" /><link rel="prev" title="How to build and transpile Qiskit quantum circuits" href="qiskit-circuits.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>How to use ffsim’s Qiskit Sampler primitive - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
@@ -459,7 +459,7 @@ <h3>Sampling from an LUCJ circuit for a closed-shell molecule<a class="headerlin
 converged SCF energy = -108.835236570774
 norb = 14
 nelec = (3, 3)
-E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110065
+E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110062
 </pre></div></div>
 </div>
 <div class="nboutput docutils container">
@@ -555,13 +555,13 @@ <h3>Sampling from an LUCJ circuit for an open-shell molecule<a class="headerlink
 <div class="output_area docutils container">
 <div class="highlight"><pre>
 SCF not converged.
-SCF energy = -75.3484557074251
+SCF energy = -75.3484557082523
 norb = 11
 nelec = (5, 4)
 
 WARN: RCCSD method does not support ROHF method. ROHF object is converted to UHF object and UCCSD method is called.
 
-E(UCCSD) = -75.45619739119564  E_corr = -0.1077416837705262
+E(UCCSD) = -75.45619739104838  E_corr = -0.1077416827960702
 </pre></div></div>
 </div>
 <div class="nboutput docutils container">
diff --git a/dev/how-to-guides/qiskit-sampler.ipynb b/dev/how-to-guides/qiskit-sampler.ipynb
index e5bb1992a..bb1620ad1 100644
--- a/dev/how-to-guides/qiskit-sampler.ipynb
+++ b/dev/how-to-guides/qiskit-sampler.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:31.480743Z",
-     "iopub.status.busy": "2024-10-13T14:03:31.480546Z",
-     "iopub.status.idle": "2024-10-13T14:03:32.174050Z",
-     "shell.execute_reply": "2024-10-13T14:03:32.173413Z"
+     "iopub.execute_input": "2024-10-14T00:42:57.117696Z",
+     "iopub.status.busy": "2024-10-14T00:42:57.117242Z",
+     "iopub.status.idle": "2024-10-14T00:42:57.808414Z",
+     "shell.execute_reply": "2024-10-14T00:42:57.807890Z"
     }
    },
    "outputs": [],
@@ -71,10 +71,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:32.176657Z",
-     "iopub.status.busy": "2024-10-13T14:03:32.176209Z",
-     "iopub.status.idle": "2024-10-13T14:03:32.240789Z",
-     "shell.execute_reply": "2024-10-13T14:03:32.240270Z"
+     "iopub.execute_input": "2024-10-14T00:42:57.810883Z",
+     "iopub.status.busy": "2024-10-14T00:42:57.810389Z",
+     "iopub.status.idle": "2024-10-14T00:42:57.873939Z",
+     "shell.execute_reply": "2024-10-14T00:42:57.873468Z"
     }
    },
    "outputs": [
@@ -154,10 +154,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:32.243011Z",
-     "iopub.status.busy": "2024-10-13T14:03:32.242635Z",
-     "iopub.status.idle": "2024-10-13T14:03:32.578780Z",
-     "shell.execute_reply": "2024-10-13T14:03:32.578250Z"
+     "iopub.execute_input": "2024-10-14T00:42:57.876054Z",
+     "iopub.status.busy": "2024-10-14T00:42:57.875704Z",
+     "iopub.status.idle": "2024-10-14T00:42:58.151170Z",
+     "shell.execute_reply": "2024-10-14T00:42:58.150544Z"
     }
    },
    "outputs": [
@@ -174,7 +174,7 @@
      "text": [
       "norb = 14\n",
       "nelec = (3, 3)\n",
-      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110065\n"
+      "E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110062\n"
      ]
     },
     {
@@ -276,10 +276,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:32.581235Z",
-     "iopub.status.busy": "2024-10-13T14:03:32.580707Z",
-     "iopub.status.idle": "2024-10-13T14:03:33.123823Z",
-     "shell.execute_reply": "2024-10-13T14:03:33.123302Z"
+     "iopub.execute_input": "2024-10-14T00:42:58.153142Z",
+     "iopub.status.busy": "2024-10-14T00:42:58.152950Z",
+     "iopub.status.idle": "2024-10-14T00:42:58.697508Z",
+     "shell.execute_reply": "2024-10-14T00:42:58.696968Z"
     }
    },
    "outputs": [
@@ -294,7 +294,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "SCF energy = -75.3484557074251\n"
+      "SCF energy = -75.3484557082523\n"
      ]
     },
     {
@@ -312,7 +312,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "E(UCCSD) = -75.45619739119564  E_corr = -0.1077416837705262\n"
+      "E(UCCSD) = -75.45619739104838  E_corr = -0.1077416827960702\n"
      ]
     },
     {
diff --git a/dev/index.html b/dev/index.html
index d81b3eac5..9a0389331 100644
--- a/dev/index.html
+++ b/dev/index.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="genindex.html" /><link rel="search" title="Search" href="search.html" /><link rel="next" title="Installation" href="install.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=a746c00c" />
diff --git a/dev/install.html b/dev/install.html
index 7d35eea69..4d09707b8 100644
--- a/dev/install.html
+++ b/dev/install.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="genindex.html" /><link rel="search" title="Search" href="search.html" /><link rel="next" title="Tutorials" href="tutorials/index.html" /><link rel="prev" title="ffsim" href="index.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Installation - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=a746c00c" />
diff --git a/dev/py-modindex.html b/dev/py-modindex.html
index 00771510c..410e20a93 100644
--- a/dev/py-modindex.html
+++ b/dev/py-modindex.html
@@ -4,7 +4,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="genindex.html" /><link rel="search" title="Search" href="search.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 --><title>Python Module Index - ffsim 0.0.48.dev0</title>
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 --><title>Python Module Index - ffsim 0.0.48.dev0</title>
 <link rel="stylesheet" type="text/css" href="_static/styles/furo.css?v=354aac6f" />
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diff --git a/dev/search.html b/dev/search.html
index 32b9361d5..6b9c9fb1b 100644
--- a/dev/search.html
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@@ -5,7 +5,7 @@
     <meta name="viewport" content="width=device-width,initial-scale=1"/>
     <meta name="color-scheme" content="light dark"><link rel="index" title="Index" href="genindex.html" /><link rel="search" title="Search" href="#" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
 <meta name="robots" content="noindex" />
 <title>Search - ffsim 0.0.48.dev0</title><link rel="stylesheet" type="text/css" href="_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=a746c00c" />
diff --git a/dev/searchindex.js b/dev/searchindex.js
index 6a86627c6..805d51ebb 100644
--- a/dev/searchindex.js
+++ b/dev/searchindex.js
@@ -1 +1 @@
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"Diagonal-Coulomb-evolution"], [19, "Diagonal-Coulomb-evolution"]], "Double-factorized representation": [[8, "Double-factorized-representation"]], "Double-factorized representation of the molecular Hamiltonian": [[8, null]], "Example of using FfsimSampler": [[20, "Example-of-using-FfsimSampler"]], "Explanations": [[10, null]], "Gates": [[14, "Gates"]], "General UCJ ansatz": [[18, "General-UCJ-ansatz"]], "Hamiltonians": [[9, null]], "Hartree-Fock and Slater determinant preparation": [[13, "Hartree-Fock-and-Slater-determinant-preparation"]], "How to build and transpile Qiskit quantum circuits": [[19, null]], "How to simulate entanglement forging": [[15, null]], "How to simulate the local unitary cluster Jastrow (LUCJ) ansatz": [[18, null]], "How to use ffsim\u2019s Qiskit Sampler primitive": [[20, null]], "How to use the FermionOperator class": [[16, null]], "How-to guides": [[17, null]], "Implement Trotter simulation": [[23, "Implement-Trotter-simulation"]], "Implementing Trotter simulation of the double-factorized Hamiltonian": [[23, null]], "Initialize ansatz operator": [[15, "Initialize-ansatz-operator"]], "Install from source": [[22, "install-from-source"]], "Installation": [[21, "installation"], [22, null]], "LUCJ ansatz": [[18, "LUCJ-ansatz"]], "Locality in the UCJ operator": [[13, "Locality-in-the-UCJ-operator"]], "Merging orbital rotations": [[13, "Merging-orbital-rotations"]], "More examples": [[20, "More-examples"]], "Number operator sum evolution": [[13, "Number-operator-sum-evolution"], [19, "Number-operator-sum-evolution"]], "Operator action via SciPy LinearOperators": [[9, "Operator-action-via-SciPy-LinearOperators"]], "Optimize energy": [[15, "Optimize-energy"]], "Optimize with the linear method": [[18, "Optimize-with-the-linear-method"]], "Orbital rotation": [[13, "Orbital-rotation"], [19, "Orbital-rotation"]], "Orbital rotations": [[12, "Orbital-rotations"]], "Orbital rotations and quadratic Hamiltonians": [[12, null]], "Overview of gates": [[19, "Overview-of-gates"]], "Pip install": [[22, "pip-install"]], "Prepare Hartree-Fock state": [[19, "Prepare-Hartree-Fock-state"]], "Prepare Slater determinant": [[19, "Prepare-Slater-determinant"]], "Qubit gate decompositions of fermionic gates": [[13, null]], "Sampling from an LUCJ circuit for a closed-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-a-closed-shell-molecule"]], "Sampling from an LUCJ circuit for an open-shell molecule": [[20, "Sampling-from-an-LUCJ-circuit-for-an-open-shell-molecule"]], "Spin-balanced and spin-unbalanced ansatzes": [[11, "Spin-balanced-and-spin-unbalanced-ansatzes"]], "Spin-balanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-balanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "Spin-unbalanced unitary cluster Jastrow (UCJ) operator": [[19, "Spin-unbalanced-unitary-cluster-Jastrow-(UCJ)-operator"]], "State preparation gates": [[19, "State-preparation-gates"]], "State vectors": [[14, "State-vectors"]], "State vectors and gates": [[14, null]], "The general unitary cluster Jastrow (UCJ) ansatz": [[11, "The-general-unitary-cluster-Jastrow-(UCJ)-ansatz"]], "The local UCJ (LUCJ) ansatz": [[11, "The-local-UCJ-(LUCJ)-ansatz"]], "The local unitary cluster Jastrow (LUCJ) ansatz": [[11, null]], "Time evolution by a quadratic Hamiltonian": [[12, "Time-evolution-by-a-quadratic-Hamiltonian"]], "Treating spinless fermions": [[14, "Treating-spinless-fermions"]], "Trotter simulation of double-factorized Hamiltonian": [[13, "Trotter-simulation-of-double-factorized-Hamiltonian"], [19, "Trotter-simulation-of-double-factorized-Hamiltonian"]], "Tutorials": [[24, null]], "Unitary cluster Jastrow (UCJ) operator": [[13, "Unitary-cluster-Jastrow-(UCJ)-operator"]], "Unitary transformation gates": [[19, "Unitary-transformation-gates"]], "Use within Docker": [[22, "use-within-docker"]], "ffsim": [[0, null], [21, null]], "ffsim.contract": [[1, null]], "ffsim.linalg": [[2, null]], "ffsim.optimize": [[3, null]], "ffsim.qiskit": [[4, null]], 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(ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.__init__", false]], "__init__() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.__init__", false]], "__init__() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockJW.__init__", false]], "__init__() (ffsim.qiskit.preparehartreefockspinlessjw method)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW.__init__", false]], "__init__() (ffsim.qiskit.prepareslaterdeterminantspinlessjw method)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdiagcoulombsplitopjw method)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW.__init__", false]], "__init__() (ffsim.qiskit.simulatetrotterdoublefactorizedjw method)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjoperatorjw method)": [[4, "ffsim.qiskit.UCJOperatorJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinBalancedJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinlessjw method)": [[4, "ffsim.qiskit.UCJOpSpinlessJW.__init__", false]], "__init__() (ffsim.qiskit.ucjopspinunbalancedjw method)": [[4, "ffsim.qiskit.UCJOpSpinUnbalancedJW.__init__", false]], "__init_subclass__() (ffsim.qiskit.givensansatzoperatorjw method)": [[4, "ffsim.qiskit.GivensAnsatzOperatorJW.__init_subclass__", false]], "__init_subclass__() (ffsim.qiskit.givensansatzoperatorspinlessjw method)": [[4, "ffsim.qiskit.GivensAnsatzOperatorSpinlessJW.__init_subclass__", false]], "__init_subclass__() (ffsim.qiskit.ucjoperatorjw method)": [[4, "ffsim.qiskit.UCJOperatorJW.__init_subclass__", false]], "__new__() (ffsim.qiskit.givensansatzoperatorjw static method)": [[4, "ffsim.qiskit.GivensAnsatzOperatorJW.__new__", false]], "__new__() (ffsim.qiskit.givensansatzoperatorspinlessjw static method)": [[4, "ffsim.qiskit.GivensAnsatzOperatorSpinlessJW.__new__", false]], "__new__() (ffsim.qiskit.ucjoperatorjw static method)": [[4, "ffsim.qiskit.UCJOperatorJW.__new__", false]], "action (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.action", false]], "active_space (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.active_space", false]], "addresses_to_strings() (in module ffsim)": [[0, "ffsim.addresses_to_strings", false]], "alpha (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA", false]], "alpha_and_beta (ffsim.spin attribute)": [[0, "ffsim.Spin.ALPHA_AND_BETA", false]], "apply_diag_coulomb_evolution() (in module ffsim)": [[0, "ffsim.apply_diag_coulomb_evolution", false]], "apply_fsim_gate() (in module ffsim)": [[0, "ffsim.apply_fsim_gate", false]], "apply_fswap_gate() (in module ffsim)": [[0, "ffsim.apply_fswap_gate", false]], "apply_givens_rotation() (in module ffsim)": [[0, "ffsim.apply_givens_rotation", false]], "apply_hop_gate() (in module ffsim)": [[0, "ffsim.apply_hop_gate", false]], "apply_matrix_to_slices() (in module ffsim.linalg)": [[2, "ffsim.linalg.apply_matrix_to_slices", false]], "apply_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_interaction", false]], "apply_num_num_interaction() (in module ffsim)": [[0, "ffsim.apply_num_num_interaction", false]], "apply_num_op_prod_interaction() (in module ffsim)": [[0, "ffsim.apply_num_op_prod_interaction", false]], "apply_num_op_sum_evolution() (in module ffsim)": [[0, "ffsim.apply_num_op_sum_evolution", false]], "apply_on_site_interaction() (in module ffsim)": [[0, "ffsim.apply_on_site_interaction", false]], "apply_orbital_rotation() (in module ffsim)": [[0, "ffsim.apply_orbital_rotation", false]], "apply_tunneling_interaction() (in module ffsim)": [[0, "ffsim.apply_tunneling_interaction", false]], "apply_unitary() (in module ffsim)": [[0, "ffsim.apply_unitary", false]], "approx_eq() (in module ffsim)": [[0, "ffsim.approx_eq", false]], "assert_allclose_up_to_global_phase() (in module ffsim.testing)": [[6, "ffsim.testing.assert_allclose_up_to_global_phase", false]], "atom (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.atom", false]], "basis (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.basis", false]], "beta (ffsim.spin attribute)": [[0, "ffsim.Spin.BETA", false]], "bit_array (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.BIT_ARRAY", false]], "bitstringtype (class in ffsim)": [[0, "ffsim.BitstringType", false]], "c (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.c", false]], "ccsd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_energy", false]], "ccsd_t1 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t1", false]], "ccsd_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.ccsd_t2", false]], "cisd_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_energy", false]], "cisd_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.cisd_vec", false]], "coeffs (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.coeffs", false]], "conserves_particle_number() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_particle_number", false]], "conserves_spin_z() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.conserves_spin_z", false]], "constant (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.constant", false]], "constant (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.constant", false]], "constant (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.constant", false]], "constant (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.constant", false]], "contract_diag_coulomb() (in module ffsim.contract)": [[1, "ffsim.contract.contract_diag_coulomb", false]], "contract_num_op_sum() (in module ffsim.contract)": [[1, "ffsim.contract.contract_num_op_sum", false]], "contract_one_body() (in module ffsim.contract)": [[1, "ffsim.contract.contract_one_body", false]], "core_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.core_energy", false]], "cre() (in module ffsim)": [[0, "ffsim.cre", false]], "cre_a() (in module ffsim)": [[0, "ffsim.cre_a", false]], "cre_b() (in module ffsim)": [[0, "ffsim.cre_b", false]], "des() (in module ffsim)": [[0, "ffsim.des", false]], "des_a() (in module ffsim)": [[0, "ffsim.des_a", false]], "des_b() (in module ffsim)": [[0, "ffsim.des_b", false]], "diag() (in module ffsim)": [[0, "ffsim.diag", false]], "diag_coulomb_linop() (in module ffsim.contract)": [[1, "ffsim.contract.diag_coulomb_linop", false]], "diag_coulomb_mats (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.diag_coulomb_mats", false]], "diag_coulomb_mats (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.diag_coulomb_mats", false]], "diag_coulomb_mats_alpha_alpha (ffsim.realucjoperator attribute)": [[0, "ffsim.RealUCJOperator.diag_coulomb_mats_alpha_alpha", false]], "diag_coulomb_mats_alpha_alpha (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.diag_coulomb_mats_alpha_alpha", false]], "diag_coulomb_mats_alpha_beta (ffsim.realucjoperator attribute)": [[0, "ffsim.RealUCJOperator.diag_coulomb_mats_alpha_beta", false]], "diag_coulomb_mats_alpha_beta (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.diag_coulomb_mats_alpha_beta", false]], "diagcoulombevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW", false]], "diagcoulombevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW", false]], "diagonalcoulombhamiltonian (class in ffsim)": [[0, "ffsim.DiagonalCoulombHamiltonian", false]], "dim() (in module ffsim)": [[0, "ffsim.dim", false]], "dims() (in module ffsim)": [[0, "ffsim.dims", false]], "dipole_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.dipole_integrals", false]], "double_factorized() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized", false]], "double_factorized_t2() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2", false]], "double_factorized_t2_alpha_beta() (in module ffsim.linalg)": [[2, "ffsim.linalg.double_factorized_t2_alpha_beta", false]], "doublefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.DoubleFactorizedHamiltonian", false]], "dropnegligible (class in ffsim.qiskit)": [[4, "ffsim.qiskit.DropNegligible", false]], "expectation_one_body_power() (in module ffsim)": [[0, "ffsim.expectation_one_body_power", false]], "expectation_one_body_product() (in module ffsim)": [[0, "ffsim.expectation_one_body_product", false]], "expectation_product_state() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.expectation_product_state", false]], "expm_multiply_taylor() (in module ffsim.linalg)": [[2, "ffsim.linalg.expm_multiply_taylor", false]], "fci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_energy", false]], "fci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.fci_vec", false]], "fermi_hubbard_1d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_1d", false]], "fermi_hubbard_2d() (in module ffsim)": [[0, "ffsim.fermi_hubbard_2d", false]], "fermion_operator() (in module ffsim)": [[0, "ffsim.fermion_operator", false]], "fermionaction (class in ffsim)": [[0, "ffsim.FermionAction", false]], "fermionoperator (class in ffsim)": [[0, "ffsim.FermionOperator", false]], "ffsim": [[0, "module-ffsim", false]], "ffsim.contract": [[1, "module-ffsim.contract", false]], "ffsim.linalg": [[2, "module-ffsim.linalg", false]], "ffsim.optimize": [[3, "module-ffsim.optimize", false]], "ffsim.qiskit": [[4, "module-ffsim.qiskit", false]], "ffsim.random": [[5, "module-ffsim.random", false]], "ffsim.testing": [[6, "module-ffsim.testing", false]], "ffsim_vec_to_qiskit_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.ffsim_vec_to_qiskit_vec", false]], "ffsimsampler (class in ffsim.qiskit)": [[4, "ffsim.qiskit.FfsimSampler", false]], "final_orbital_rotation (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.realucjoperator attribute)": [[0, "ffsim.RealUCJOperator.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.final_orbital_rotation", false]], "final_orbital_rotation (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.final_orbital_rotation", false]], "final_state_vector() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.final_state_vector", false]], "from_diag_coulomb_mats() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_diag_coulomb_mats", false]], "from_fcidump() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_fcidump", false]], "from_fcidump() (ffsim.molecularhamiltonian static method)": [[0, "ffsim.MolecularHamiltonian.from_fcidump", false]], "from_fermion_operator() (ffsim.diagonalcoulombhamiltonian static method)": [[0, "ffsim.DiagonalCoulombHamiltonian.from_fermion_operator", false]], "from_json() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_json", false]], "from_mole() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_mole", false]], "from_molecular_hamiltonian() (ffsim.doublefactorizedhamiltonian static method)": [[0, "ffsim.DoubleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_molecular_hamiltonian() (ffsim.singlefactorizedhamiltonian static method)": [[0, "ffsim.SingleFactorizedHamiltonian.from_molecular_hamiltonian", false]], "from_orbital_rotation() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_orbital_rotation", false]], "from_parameters() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.from_parameters", false]], "from_parameters() (ffsim.givensansatzoperator static method)": [[0, "ffsim.GivensAnsatzOperator.from_parameters", false]], "from_parameters() (ffsim.hopgateansatzoperator static method)": [[0, "ffsim.HopGateAnsatzOperator.from_parameters", false]], "from_parameters() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.realucjoperator static method)": [[0, "ffsim.RealUCJOperator.from_parameters", false]], "from_parameters() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.from_parameters", false]], "from_parameters() (ffsim.ucjoperator static method)": [[0, "ffsim.UCJOperator.from_parameters", false]], "from_parameters() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_parameters", false]], "from_parameters() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_parameters", false]], "from_parameters() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_parameters", false]], "from_scf() (ffsim.moleculardata static method)": [[0, "ffsim.MolecularData.from_scf", false]], "from_t_amplitudes() (ffsim.realucjoperator static method)": [[0, "ffsim.RealUCJOperator.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjoperator static method)": [[0, "ffsim.UCJOperator.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.from_t_amplitudes", false]], "from_t_amplitudes() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.from_t_amplitudes", false]], "generate_norb_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec", false]], "generate_norb_nelec_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec_spin", false]], "generate_norb_nocc() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nocc", false]], "generate_norb_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_spin", false]], "givens_decomposition() (in module ffsim.linalg)": [[2, "ffsim.linalg.givens_decomposition", false]], "givensansatzop (class in ffsim)": [[0, "ffsim.GivensAnsatzOp", false]], "givensansatzoperator (class in ffsim)": [[0, "ffsim.GivensAnsatzOperator", false]], "givensansatzoperatorjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOperatorJW", false]], "givensansatzoperatorspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOperatorSpinlessJW", false]], "givensansatzopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpJW", false]], "givensansatzopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW", false]], "givensrotation (class in ffsim.linalg)": [[2, "ffsim.linalg.GivensRotation", false]], "hamiltonian (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.hamiltonian", false]], "hartree_fock_state() (in module ffsim)": [[0, "ffsim.hartree_fock_state", false]], "hf_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_energy", false]], "hf_mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_coeff", false]], "hf_mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_occ", false]], "hopgateansatzoperator (class in ffsim)": [[0, "ffsim.HopGateAnsatzOperator", false]], "i (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.i", false]], "indices_to_strings() (in module ffsim)": [[0, "ffsim.indices_to_strings", false]], "init_cache() (in module ffsim)": [[0, "ffsim.init_cache", false]], "int (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.INT", false]], "interaction_pairs (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.interaction_pairs", false]], "interaction_pairs (ffsim.givensansatzoperator attribute)": [[0, "ffsim.GivensAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.interaction_pairs", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.inverse", false]], "is_antihermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_antihermitian", false]], "is_hermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_hermitian", false]], "is_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_orthogonal", false]], "is_real_symmetric() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_real_symmetric", false]], "is_special_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_special_orthogonal", false]], "is_unitary() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_unitary", false]], "j (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.j", false]], "jordan_wigner() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.jordan_wigner", false]], "linear_operator() (in module ffsim)": [[0, "ffsim.linear_operator", false]], "lup() (in module ffsim.linalg)": [[2, "ffsim.linalg.lup", false]], "many_body_order() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.many_body_order", false]], "match_global_phase() (in module ffsim.linalg)": [[2, "ffsim.linalg.match_global_phase", false]], "mergeorbitalrotations (class in ffsim.qiskit)": [[4, "ffsim.qiskit.MergeOrbitalRotations", false]], "minimize_linear_method() (in module ffsim.optimize)": [[3, "ffsim.optimize.minimize_linear_method", false]], "mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_coeff", false]], "mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_occ", false]], "modified_cholesky() (in module ffsim.linalg)": [[2, "ffsim.linalg.modified_cholesky", false]], "module": [[0, "module-ffsim", false], [1, "module-ffsim.contract", false], [2, "module-ffsim.linalg", false], [3, "module-ffsim.optimize", false], [4, "module-ffsim.qiskit", false], [5, "module-ffsim.random", false], [6, "module-ffsim.testing", false]], "mole (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.mole", false]], "moleculardata (class in ffsim)": [[0, "ffsim.MolecularData", false]], "molecularhamiltonian (class in ffsim)": [[0, "ffsim.MolecularHamiltonian", false]], "mp2_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_energy", false]], "mp2_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_t2", false]], "multireference_state() (in module ffsim)": [[0, "ffsim.multireference_state", false]], "multireference_state_prod() (in module ffsim)": [[0, "ffsim.multireference_state_prod", false]], "n_params() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.n_params", false]], "n_params() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.n_params", false]], "n_params() (ffsim.realucjoperator static method)": [[0, "ffsim.RealUCJOperator.n_params", false]], "n_params() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.n_params", false]], "n_params() (ffsim.ucjoperator static method)": [[0, "ffsim.UCJOperator.n_params", false]], "n_params() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.n_params", false]], "n_params() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.n_params", false]], "n_params() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.n_params", false]], "n_reps (ffsim.realucjoperator property)": [[0, "ffsim.RealUCJOperator.n_reps", false]], "n_reps (ffsim.ucjoperator property)": [[0, "ffsim.UCJOperator.n_reps", false]], "n_reps (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.n_reps", false]], "n_reps (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.n_reps", false]], "n_reps (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.n_reps", false]], "nelec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.nelec", false]], "nelec 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"random_two_body_tensor() (in module ffsim.random)": [[5, "ffsim.random.random_two_body_tensor", false]], "random_uccsd_restricted() (in module ffsim.random)": [[5, "ffsim.random.random_uccsd_restricted", false]], "random_ucj_op_spin_balanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_balanced", false]], "random_ucj_op_spin_unbalanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_unbalanced", false]], "random_ucj_op_spinless() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spinless", false]], "random_ucj_operator() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_operator", false]], "random_unitary() (in module ffsim.random)": [[5, "ffsim.random.random_unitary", false]], "rdm() (in module ffsim)": [[0, "ffsim.rdm", false]], "rdms() (in module ffsim)": [[0, "ffsim.rdms", false]], "realucjoperator (class in ffsim)": [[0, "ffsim.RealUCJOperator", false]], "reduced_matrix() (in module ffsim.linalg)": [[2, 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\ No newline at end of file
+Search.setIndex({"alltitles": {"API reference": [[7, null]], "Application to the double-factorized Hamiltonian": [[8, "Application-to-the-double-factorized-Hamiltonian"]], "Application to time evolution via Trotter-Suzuki formulas": [[8, "Application-to-time-evolution-via-Trotter-Suzuki-formulas"]], "Brief background on Trotter-Suzuki formulas": [[8, "Brief-background-on-Trotter-Suzuki-formulas"]], "Build a molecule": [[15, "Build-a-molecule"]], "Build the Hamiltonian": [[23, "Build-the-Hamiltonian"]], "Choose reference occupations": [[15, "Choose-reference-occupations"]], "Circuit transpilation": [[19, "Circuit-transpilation"]], "Citing ffsim": [[21, "citing-ffsim"]], "Code example": [[21, "code-example"]], "Compute energy": [[15, "Compute-energy"]], "Contents": [[21, "contents"]], "Criteria for circuits that FfsimSampler can sample": [[20, "Criteria-for-circuits-that-FfsimSampler-can-sample"]], "Data representation": [[9, "Data-representation"]], "Diagonal Coulomb evolution": [[13, 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"generate_norb_nelec_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nelec_spin", false]], "generate_norb_nocc() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_nocc", false]], "generate_norb_spin() (in module ffsim.testing)": [[6, "ffsim.testing.generate_norb_spin", false]], "givens_decomposition() (in module ffsim.linalg)": [[2, "ffsim.linalg.givens_decomposition", false]], "givensansatzop (class in ffsim)": [[0, "ffsim.GivensAnsatzOp", false]], "givensansatzoperator (class in ffsim)": [[0, "ffsim.GivensAnsatzOperator", false]], "givensansatzoperatorjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOperatorJW", false]], "givensansatzoperatorspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOperatorSpinlessJW", false]], "givensansatzopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpJW", false]], "givensansatzopspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.GivensAnsatzOpSpinlessJW", false]], "givensrotation (class in ffsim.linalg)": [[2, "ffsim.linalg.GivensRotation", false]], "hamiltonian (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.hamiltonian", false]], "hartree_fock_state() (in module ffsim)": [[0, "ffsim.hartree_fock_state", false]], "hf_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_energy", false]], "hf_mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_coeff", false]], "hf_mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.hf_mo_occ", false]], "hopgateansatzoperator (class in ffsim)": [[0, "ffsim.HopGateAnsatzOperator", false]], "i (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.i", false]], "indices_to_strings() (in module ffsim)": [[0, "ffsim.indices_to_strings", false]], "init_cache() (in module ffsim)": [[0, "ffsim.init_cache", false]], "int (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.INT", false]], "interaction_pairs (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.interaction_pairs", false]], "interaction_pairs (ffsim.givensansatzoperator attribute)": [[0, "ffsim.GivensAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.interaction_pairs", false]], "interaction_pairs (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.interaction_pairs", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.diagcoulombevolutionspinlessjw method)": [[4, "ffsim.qiskit.DiagCoulombEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW.inverse", false]], "inverse() (ffsim.qiskit.numopsumevolutionspinlessjw method)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationjw method)": [[4, "ffsim.qiskit.OrbitalRotationJW.inverse", false]], "inverse() (ffsim.qiskit.orbitalrotationspinlessjw method)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW.inverse", false]], "is_antihermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_antihermitian", false]], "is_hermitian() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_hermitian", false]], "is_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_orthogonal", false]], "is_real_symmetric() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_real_symmetric", false]], "is_special_orthogonal() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_special_orthogonal", false]], "is_unitary() (in module ffsim.linalg)": [[2, "ffsim.linalg.is_unitary", false]], "j (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.j", false]], "jordan_wigner() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.jordan_wigner", false]], "linear_operator() (in module ffsim)": [[0, "ffsim.linear_operator", false]], "lup() (in module ffsim.linalg)": [[2, "ffsim.linalg.lup", false]], "many_body_order() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.many_body_order", false]], "match_global_phase() (in module ffsim.linalg)": [[2, "ffsim.linalg.match_global_phase", false]], "mergeorbitalrotations (class in ffsim.qiskit)": [[4, "ffsim.qiskit.MergeOrbitalRotations", false]], "minimize_linear_method() (in module ffsim.optimize)": [[3, "ffsim.optimize.minimize_linear_method", false]], "mo_coeff (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_coeff", false]], "mo_occ (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mo_occ", false]], "modified_cholesky() (in module ffsim.linalg)": [[2, "ffsim.linalg.modified_cholesky", false]], "module": [[0, "module-ffsim", false], [1, "module-ffsim.contract", false], [2, "module-ffsim.linalg", false], [3, "module-ffsim.optimize", false], [4, "module-ffsim.qiskit", false], [5, "module-ffsim.random", false], [6, "module-ffsim.testing", false]], "mole (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.mole", false]], "moleculardata (class in ffsim)": [[0, "ffsim.MolecularData", false]], "molecularhamiltonian (class in ffsim)": [[0, "ffsim.MolecularHamiltonian", false]], "mp2_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_energy", false]], "mp2_t2 (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.mp2_t2", false]], "multireference_state() (in module ffsim)": [[0, "ffsim.multireference_state", false]], "multireference_state_prod() (in module ffsim)": [[0, "ffsim.multireference_state_prod", false]], "n_params() (ffsim.givensansatzop static method)": [[0, "ffsim.GivensAnsatzOp.n_params", false]], "n_params() (ffsim.numnumansatzopspinbalanced static method)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.n_params", false]], "n_params() (ffsim.realucjoperator static method)": [[0, "ffsim.RealUCJOperator.n_params", false]], "n_params() (ffsim.uccsdoprestrictedreal static method)": [[0, "ffsim.UCCSDOpRestrictedReal.n_params", false]], "n_params() (ffsim.ucjoperator static method)": [[0, "ffsim.UCJOperator.n_params", false]], "n_params() (ffsim.ucjopspinbalanced static method)": [[0, "ffsim.UCJOpSpinBalanced.n_params", false]], "n_params() (ffsim.ucjopspinless static method)": [[0, "ffsim.UCJOpSpinless.n_params", false]], "n_params() (ffsim.ucjopspinunbalanced static method)": [[0, "ffsim.UCJOpSpinUnbalanced.n_params", false]], "n_reps (ffsim.realucjoperator property)": [[0, "ffsim.RealUCJOperator.n_reps", false]], "n_reps (ffsim.ucjoperator property)": [[0, "ffsim.UCJOperator.n_reps", false]], "n_reps (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.n_reps", false]], "n_reps (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.n_reps", false]], "n_reps (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.n_reps", false]], "nelec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.nelec", false]], "nelec (ffsim.statevector attribute)": [[0, "ffsim.StateVector.nelec", false]], "norb (ffsim.diagonalcoulombhamiltonian property)": [[0, "ffsim.DiagonalCoulombHamiltonian.norb", false]], "norb (ffsim.doublefactorizedhamiltonian property)": [[0, "ffsim.DoubleFactorizedHamiltonian.norb", false]], "norb (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.norb", false]], "norb (ffsim.givensansatzoperator attribute)": [[0, "ffsim.GivensAnsatzOperator.norb", false]], "norb (ffsim.hopgateansatzoperator attribute)": [[0, "ffsim.HopGateAnsatzOperator.norb", false]], "norb (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.norb", false]], "norb (ffsim.molecularhamiltonian property)": [[0, "ffsim.MolecularHamiltonian.norb", false]], "norb (ffsim.numnumansatzopspinbalanced attribute)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced.norb", false]], "norb (ffsim.realucjoperator property)": [[0, "ffsim.RealUCJOperator.norb", false]], "norb (ffsim.singlefactorizedhamiltonian property)": [[0, "ffsim.SingleFactorizedHamiltonian.norb", false]], "norb (ffsim.statevector attribute)": [[0, "ffsim.StateVector.norb", false]], "norb (ffsim.uccsdoprestrictedreal property)": [[0, "ffsim.UCCSDOpRestrictedReal.norb", false]], "norb (ffsim.ucjoperator property)": [[0, "ffsim.UCJOperator.norb", false]], "norb (ffsim.ucjopspinbalanced property)": [[0, "ffsim.UCJOpSpinBalanced.norb", false]], "norb (ffsim.ucjopspinless property)": [[0, "ffsim.UCJOpSpinless.norb", false]], "norb (ffsim.ucjopspinunbalanced property)": [[0, "ffsim.UCJOpSpinUnbalanced.norb", false]], "normal_ordered() (ffsim.fermionoperator method)": [[0, "ffsim.FermionOperator.normal_ordered", false]], "num_op_sum_linop() (in module ffsim.contract)": [[1, "ffsim.contract.num_op_sum_linop", false]], "number_operator() (in module ffsim)": [[0, "ffsim.number_operator", false]], "numnumansatzopspinbalanced (class in ffsim)": [[0, "ffsim.NumNumAnsatzOpSpinBalanced", false]], "numnumansatzopspinbalancedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumNumAnsatzOpSpinBalancedJW", false]], "numopsumevolutionjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionJW", false]], "numopsumevolutionspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.NumOpSumEvolutionSpinlessJW", false]], "one_body_integrals (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.one_body_integrals", false]], "one_body_linop() (in module ffsim.contract)": [[1, "ffsim.contract.one_body_linop", false]], "one_body_squares (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_squares", false]], "one_body_tensor (ffsim.diagonalcoulombhamiltonian attribute)": [[0, "ffsim.DiagonalCoulombHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.molecularhamiltonian attribute)": [[0, "ffsim.MolecularHamiltonian.one_body_tensor", false]], "one_body_tensor (ffsim.singlefactorizedhamiltonian attribute)": [[0, "ffsim.SingleFactorizedHamiltonian.one_body_tensor", false]], "one_hot() (in module ffsim)": [[0, "ffsim.one_hot", false]], "one_hot() (in module ffsim.linalg)": [[2, "ffsim.linalg.one_hot", false]], "orb (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.orb", false]], "orbital_rotations (ffsim.doublefactorizedhamiltonian attribute)": [[0, "ffsim.DoubleFactorizedHamiltonian.orbital_rotations", false]], "orbital_rotations (ffsim.realucjoperator attribute)": [[0, "ffsim.RealUCJOperator.orbital_rotations", false]], "orbital_rotations (ffsim.ucjoperator attribute)": [[0, "ffsim.UCJOperator.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinbalanced attribute)": [[0, "ffsim.UCJOpSpinBalanced.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinless attribute)": [[0, "ffsim.UCJOpSpinless.orbital_rotations", false]], "orbital_rotations (ffsim.ucjopspinunbalanced attribute)": [[0, "ffsim.UCJOpSpinUnbalanced.orbital_rotations", false]], "orbital_symmetries (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.orbital_symmetries", false]], "orbitalrotationjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationJW", false]], "orbitalrotationspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.OrbitalRotationSpinlessJW", false]], "phase_angles (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phase_angles", false]], "phis (ffsim.givensansatzop attribute)": [[0, "ffsim.GivensAnsatzOp.phis", false]], "pre_init (in module ffsim.qiskit)": [[4, "ffsim.qiskit.PRE_INIT", false]], "pre_init_passes() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.pre_init_passes", false]], "preparehartreefockjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockJW", false]], "preparehartreefockspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareHartreeFockSpinlessJW", false]], "prepareslaterdeterminantjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantJW", false]], "prepareslaterdeterminantspinlessjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.PrepareSlaterDeterminantSpinlessJW", false]], "productstatesum (class in ffsim)": [[0, "ffsim.ProductStateSum", false]], "qiskit_vec_to_ffsim_vec() (in module ffsim.qiskit)": [[4, "ffsim.qiskit.qiskit_vec_to_ffsim_vec", false]], "random_antihermitian() (in module ffsim.random)": [[5, "ffsim.random.random_antihermitian", false]], "random_diagonal_coulomb_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_diagonal_coulomb_hamiltonian", false]], "random_double_factorized_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_double_factorized_hamiltonian", false]], "random_fermion_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_hamiltonian", false]], "random_fermion_operator() (in module ffsim.random)": [[5, "ffsim.random.random_fermion_operator", false]], "random_hermitian() (in module ffsim.random)": [[5, "ffsim.random.random_hermitian", false]], "random_molecular_hamiltonian() (in module ffsim.random)": [[5, "ffsim.random.random_molecular_hamiltonian", false]], "random_nelec() (in module ffsim.testing)": [[6, "ffsim.testing.random_nelec", false]], "random_occupied_orbitals() (in module ffsim.testing)": [[6, "ffsim.testing.random_occupied_orbitals", false]], "random_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_orthogonal", false]], "random_real_symmetric_matrix() (in module ffsim.random)": [[5, "ffsim.random.random_real_symmetric_matrix", false]], "random_special_orthogonal() (in module ffsim.random)": [[5, "ffsim.random.random_special_orthogonal", false]], "random_state_vector() (in module ffsim.random)": [[5, "ffsim.random.random_state_vector", false]], "random_statevector() (in module ffsim.random)": [[5, "ffsim.random.random_statevector", false]], "random_t2_amplitudes() (in module ffsim.random)": [[5, "ffsim.random.random_t2_amplitudes", false]], "random_two_body_tensor() (in module ffsim.random)": [[5, "ffsim.random.random_two_body_tensor", false]], "random_uccsd_restricted() (in module ffsim.random)": [[5, "ffsim.random.random_uccsd_restricted", false]], "random_ucj_op_spin_balanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_balanced", false]], "random_ucj_op_spin_unbalanced() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spin_unbalanced", false]], "random_ucj_op_spinless() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_op_spinless", false]], "random_ucj_operator() (in module ffsim.random)": [[5, "ffsim.random.random_ucj_operator", false]], "random_unitary() (in module ffsim.random)": [[5, "ffsim.random.random_unitary", false]], "rdm() (in module ffsim)": [[0, "ffsim.rdm", false]], "rdms() (in module ffsim)": [[0, "ffsim.rdms", false]], "realucjoperator (class in ffsim)": [[0, "ffsim.RealUCJOperator", false]], "reduced_matrix() (in module ffsim.linalg)": [[2, "ffsim.linalg.reduced_matrix", false]], "reduced_matrix_product_states() (ffsim.singlefactorizedhamiltonian method)": [[0, "ffsim.SingleFactorizedHamiltonian.reduced_matrix_product_states", false]], "rotated() (ffsim.molecularhamiltonian method)": [[0, "ffsim.MolecularHamiltonian.rotated", false]], "run() (ffsim.qiskit.dropnegligible method)": [[4, "ffsim.qiskit.DropNegligible.run", false]], "run() (ffsim.qiskit.ffsimsampler method)": [[4, "ffsim.qiskit.FfsimSampler.run", false]], "run() (ffsim.qiskit.mergeorbitalrotations method)": [[4, "ffsim.qiskit.MergeOrbitalRotations.run", false]], "run_ccsd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_ccsd", false]], "run_cisd() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_cisd", false]], "run_fci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_fci", false]], "run_mp2() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_mp2", false]], "run_sci() (ffsim.moleculardata method)": [[0, "ffsim.MolecularData.run_sci", false]], "s (ffsim.linalg.givensrotation attribute)": [[2, "ffsim.linalg.GivensRotation.s", false]], "sample_slater_determinant() (in module ffsim)": [[0, "ffsim.sample_slater_determinant", false]], "sample_state_vector() (in module ffsim)": [[0, "ffsim.sample_state_vector", false]], "scf (ffsim.moleculardata property)": [[0, "ffsim.MolecularData.scf", false]], "sci_energy (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_energy", false]], "sci_vec (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.sci_vec", false]], "simulate_qdrift_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_qdrift_double_factorized", false]], "simulate_trotter_diag_coulomb_split_op() (in module ffsim)": [[0, "ffsim.simulate_trotter_diag_coulomb_split_op", false]], "simulate_trotter_double_factorized() (in module ffsim)": [[0, "ffsim.simulate_trotter_double_factorized", false]], "simulatetrotterdiagcoulombsplitopjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDiagCoulombSplitOpJW", false]], "simulatetrotterdoublefactorizedjw (class in ffsim.qiskit)": [[4, "ffsim.qiskit.SimulateTrotterDoubleFactorizedJW", false]], "singlefactorizedhamiltonian (class in ffsim)": [[0, "ffsim.SingleFactorizedHamiltonian", false]], "slater_determinant() (in module ffsim)": [[0, "ffsim.slater_determinant", false]], "slater_determinant_rdm() (in module ffsim)": [[0, "ffsim.slater_determinant_rdm", false]], "slater_determinant_rdms() (in module ffsim)": [[0, "ffsim.slater_determinant_rdms", false]], "spin (class in ffsim)": [[0, "ffsim.Spin", false]], "spin (ffsim.fermionaction attribute)": [[0, "ffsim.FermionAction.spin", false]], "spin (ffsim.moleculardata attribute)": [[0, "ffsim.MolecularData.spin", false]], "spin_square() (in module ffsim)": [[0, "ffsim.spin_square", false]], "states (ffsim.productstatesum attribute)": [[0, "ffsim.ProductStateSum.states", false]], "statevector (class in ffsim)": [[0, "ffsim.StateVector", false]], 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\ No newline at end of file
diff --git a/dev/tutorials/double-factorized-trotter.html b/dev/tutorials/double-factorized-trotter.html
index 357906415..740974f8d 100644
--- a/dev/tutorials/double-factorized-trotter.html
+++ b/dev/tutorials/double-factorized-trotter.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="Explanations" href="../explanations/index.html" /><link rel="prev" title="Tutorials" href="index.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Implementing Trotter simulation of the double-factorized Hamiltonian - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />
@@ -455,7 +455,7 @@ <h2>Build the Hamiltonian<a class="headerlink" href="#Build-the-Hamiltonian" tit
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Maximum error in a tensor entry: 0.03668541730983521
+Maximum error in a tensor entry: 0.03668541730983632
 </pre></div></div>
 </div>
 </section>
@@ -596,7 +596,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9402393562196085
+Fidelity of Trotter-evolved state with exact state: 0.9402435115158845
 </pre></div></div>
 </div>
 <p>The fidelity of the final result can be improved by increasing the number of Trotter steps.</p>
@@ -623,7 +623,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9985211214229854
+Fidelity of Trotter-evolved state with exact state: 0.9985212854200908
 </pre></div></div>
 </div>
 <p>In the code cell below, we reproduce the results of our manually implemented function using ffsim’s built-in implementation.</p>
@@ -651,7 +651,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9985211214229489
+Fidelity of Trotter-evolved state with exact state: 0.9985212854200776
 </pre></div></div>
 </div>
 <p>A higher order formula achieves a higher fidelity with fewer Trotter steps:</p>
@@ -679,7 +679,7 @@ <h2>Implement Trotter simulation<a class="headerlink" href="#Implement-Trotter-s
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Fidelity of Trotter-evolved state with exact state: 0.9996731166932697
+Fidelity of Trotter-evolved state with exact state: 0.9996731164188856
 </pre></div></div>
 </div>
 <p>You’ve made it to the end of this tutorial!</p>
diff --git a/dev/tutorials/double-factorized-trotter.ipynb b/dev/tutorials/double-factorized-trotter.ipynb
index e153556d5..a6877f265 100644
--- a/dev/tutorials/double-factorized-trotter.ipynb
+++ b/dev/tutorials/double-factorized-trotter.ipynb
@@ -18,10 +18,10 @@
    "execution_count": 1,
    "metadata": {
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-     "iopub.status.busy": "2024-10-13T14:03:34.671986Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.430109Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.429527Z"
+     "iopub.execute_input": "2024-10-14T00:43:00.247638Z",
+     "iopub.status.busy": "2024-10-14T00:43:00.247446Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.004447Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.003869Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.433903Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.432770Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.437548Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.437103Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.007572Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.007062Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.011349Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.010884Z"
     }
    },
    "outputs": [],
@@ -106,10 +106,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.439333Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.439154Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.443165Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.442756Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.013297Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.012933Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.017246Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.016774Z"
     }
    },
    "outputs": [
@@ -172,10 +172,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.445058Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.444622Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.448162Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.447751Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.019302Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.018946Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.023373Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.022785Z"
     }
    },
    "outputs": [
@@ -208,10 +208,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.449886Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.449568Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.453274Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.452728Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.025216Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.024884Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.028948Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.028456Z"
     }
    },
    "outputs": [
@@ -242,10 +242,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.455151Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.454818Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.475461Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.474859Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.030950Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.030595Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.049876Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.049405Z"
     }
    },
    "outputs": [
@@ -253,7 +253,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Maximum error in a tensor entry: 0.03668541730983521\n"
+      "Maximum error in a tensor entry: 0.03668541730983632\n"
      ]
     }
    ],
@@ -302,10 +302,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
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-     "iopub.status.idle": "2024-10-13T14:03:35.481430Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.480849Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.051669Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.051481Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.055775Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.055291Z"
     }
    },
    "outputs": [],
@@ -360,10 +360,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.483284Z",
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-     "iopub.status.idle": "2024-10-13T14:03:35.486589Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.486008Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.057735Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.057265Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.060982Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.060356Z"
     }
    },
    "outputs": [],
@@ -400,10 +400,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.488606Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.488125Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.586922Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.586303Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.062823Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.062638Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.160548Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.160021Z"
     }
    },
    "outputs": [],
@@ -439,10 +439,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.590380Z",
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-     "iopub.status.idle": "2024-10-13T14:03:35.639449Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.638864Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.162793Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.162384Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.211652Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.211155Z"
     }
    },
    "outputs": [
@@ -450,7 +450,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9402393562196085\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9402435115158845\n"
      ]
     }
    ],
@@ -480,10 +480,10 @@
    "execution_count": 11,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.641570Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.641186Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.855304Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.854788Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.213347Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.213159Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.426388Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.425857Z"
     }
    },
    "outputs": [
@@ -491,7 +491,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985211214229854\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854200908\n"
      ]
     }
    ],
@@ -521,10 +521,10 @@
    "execution_count": 12,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.857394Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.857203Z",
-     "iopub.status.idle": "2024-10-13T14:03:35.985868Z",
-     "shell.execute_reply": "2024-10-13T14:03:35.985287Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.428324Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.427964Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.553343Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.552888Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9985211214229489\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9985212854200776\n"
      ]
     }
    ],
@@ -563,10 +563,10 @@
    "execution_count": 13,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-10-13T14:03:35.987801Z",
-     "iopub.status.busy": "2024-10-13T14:03:35.987459Z",
-     "iopub.status.idle": "2024-10-13T14:03:36.090076Z",
-     "shell.execute_reply": "2024-10-13T14:03:36.089595Z"
+     "iopub.execute_input": "2024-10-14T00:43:01.555068Z",
+     "iopub.status.busy": "2024-10-14T00:43:01.554883Z",
+     "iopub.status.idle": "2024-10-14T00:43:01.660956Z",
+     "shell.execute_reply": "2024-10-14T00:43:01.660447Z"
     }
    },
    "outputs": [
@@ -574,7 +574,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Fidelity of Trotter-evolved state with exact state: 0.9996731166932697\n"
+      "Fidelity of Trotter-evolved state with exact state: 0.9996731164188856\n"
      ]
     }
    ],
diff --git a/dev/tutorials/index.html b/dev/tutorials/index.html
index 1b30720b5..68d6a0ba9 100644
--- a/dev/tutorials/index.html
+++ b/dev/tutorials/index.html
@@ -5,7 +5,7 @@
     <meta name="color-scheme" content="light dark"><meta name="viewport" content="width=device-width, initial-scale=1" />
 <link rel="index" title="Index" href="../genindex.html" /><link rel="search" title="Search" href="../search.html" /><link rel="next" title="Implementing Trotter simulation of the double-factorized Hamiltonian" href="double-factorized-trotter.html" /><link rel="prev" title="Installation" href="../install.html" />
 
-    <!-- Generated with Sphinx 8.1.2 and Furo 2024.08.06 -->
+    <!-- Generated with Sphinx 8.1.3 and Furo 2024.08.06 -->
         <title>Tutorials - ffsim 0.0.48.dev0</title>
       <link rel="stylesheet" type="text/css" href="../_static/styles/furo.css?v=354aac6f" />
     <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=a746c00c" />