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b/dev/.doctrees/how-to-guides/qiskit-sampler.doctree index 0d08c3d45b807601cf0de4993f97a290b47a4412..2f1ffd27f131dab0ca2dc038d9ae0433e6331eba 100644 GIT binary patch delta 676 zcmeA@#MFL>iM4@s>YoK0S%qR4O(yrnn*zxPF|v$?lXGHh(M0~moP&t4nkXo^#!L>3 zkpij<%#fLE7Z-|EMr`u`xISc4xD2Ocu*XixuXX*6cj_XZ9)V8i7VTZ!XG}7G>m^+}C8vYHng~Y&7|9^9mzF z3v)wY(8VX`7ZoYkD(D*M85)?In;4o|7@Hd!TUZ(yaoOk>6s6ihLn#8y042f(OkUAa z#b`S@KSO`=oHiYV-7FxjlMUL$Ibc=+V@{T6m12|Ex2G}wp1h_R$xLm+&VfZYnoc4- KvRS~42lY(^P7NF|4U?C(R5993R&0&NFju!t9HA^QLzXyYps?kfyrn&s@z3OdRvipe Wfvy#VSq=+yoGRh=Zx-zOCI$f52eT*u diff --git a/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb b/dev/.doctrees/nbsphinx/explanations/hamiltonians.ipynb index 56e0bc40e..8282ce9f7 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": "2024-07-23T22:29:53.270902Z", - "iopub.status.busy": "2024-07-23T22:29:53.270549Z", - "iopub.status.idle": "2024-07-23T22:29:53.969006Z", - "shell.execute_reply": "2024-07-23T22:29:53.968480Z" + "iopub.execute_input": "2024-07-26T02:27:45.238211Z", + "iopub.status.busy": "2024-07-26T02:27:45.237751Z", + "iopub.status.idle": "2024-07-26T02:27:45.961675Z", + "shell.execute_reply": "2024-07-26T02:27:45.961129Z" } }, "outputs": [], @@ -68,10 +68,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.972028Z", - "iopub.status.busy": "2024-07-23T22:29:53.971484Z", - "iopub.status.idle": "2024-07-23T22:29:53.974689Z", - "shell.execute_reply": "2024-07-23T22:29:53.974202Z" + "iopub.execute_input": "2024-07-26T02:27:45.964595Z", + "iopub.status.busy": "2024-07-26T02:27:45.964162Z", + "iopub.status.idle": "2024-07-26T02:27:45.967271Z", + "shell.execute_reply": "2024-07-26T02:27:45.966700Z" } }, "outputs": [], @@ -99,10 +99,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.977172Z", - "iopub.status.busy": "2024-07-23T22:29:53.976721Z", - "iopub.status.idle": "2024-07-23T22:29:53.980011Z", - "shell.execute_reply": "2024-07-23T22:29:53.979539Z" + "iopub.execute_input": "2024-07-26T02:27:45.969667Z", + "iopub.status.busy": "2024-07-26T02:27:45.969315Z", + "iopub.status.idle": "2024-07-26T02:27:45.972641Z", + "shell.execute_reply": "2024-07-26T02:27:45.972143Z" } }, "outputs": [], @@ -127,10 +127,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.982364Z", - "iopub.status.busy": "2024-07-23T22:29:53.982032Z", - "iopub.status.idle": "2024-07-23T22:29:53.986769Z", - "shell.execute_reply": "2024-07-23T22:29:53.986237Z" + "iopub.execute_input": "2024-07-26T02:27:45.974822Z", + "iopub.status.busy": "2024-07-26T02:27:45.974573Z", + "iopub.status.idle": "2024-07-26T02:27:45.979528Z", + "shell.execute_reply": "2024-07-26T02:27:45.978976Z" } }, "outputs": [], @@ -152,17 +152,17 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.989947Z", - "iopub.status.busy": "2024-07-23T22:29:53.989540Z", - "iopub.status.idle": "2024-07-23T22:29:54.011854Z", - "shell.execute_reply": "2024-07-23T22:29:54.011176Z" + "iopub.execute_input": "2024-07-26T02:27:45.983397Z", + "iopub.status.busy": "2024-07-26T02:27:45.982385Z", + "iopub.status.idle": "2024-07-26T02:27:46.005180Z", + "shell.execute_reply": "2024-07-26T02:27:46.004503Z" } }, "outputs": [ { "data": { "text/plain": [ - "np.float64(-99.55717072551607)" + "np.float64(-99.55717072551532)" ] }, "execution_count": 5, @@ -191,10 +191,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:54.045105Z", - "iopub.status.busy": "2024-07-23T22:29:54.044669Z", - "iopub.status.idle": "2024-07-23T22:29:54.454846Z", - "shell.execute_reply": "2024-07-23T22:29:54.454266Z" + "iopub.execute_input": "2024-07-26T02:27:46.040024Z", + "iopub.status.busy": "2024-07-26T02:27:46.039560Z", + "iopub.status.idle": "2024-07-26T02:27:46.444185Z", + "shell.execute_reply": "2024-07-26T02:27:46.443541Z" } }, "outputs": [ @@ -202,7 +202,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_4307/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n", + "/tmp/ipykernel_4333/2190712273.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": "2024-07-23T22:29:54.459081Z", - "iopub.status.busy": "2024-07-23T22:29:54.458107Z", - "iopub.status.idle": "2024-07-23T22:29:54.833761Z", - "shell.execute_reply": "2024-07-23T22:29:54.833193Z" + "iopub.execute_input": "2024-07-26T02:27:46.447471Z", + "iopub.status.busy": "2024-07-26T02:27:46.447081Z", + "iopub.status.idle": "2024-07-26T02:27:46.817998Z", + "shell.execute_reply": "2024-07-26T02:27:46.817360Z" } }, "outputs": [], diff --git a/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb b/dev/.doctrees/nbsphinx/explanations/orbital-rotation.ipynb index fce316d35..48b8c8c1a 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": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:57.982707Z", - "iopub.status.busy": "2024-07-23T22:29:57.982262Z", - "iopub.status.idle": "2024-07-23T22:29:58.687391Z", - "shell.execute_reply": "2024-07-23T22:29:58.686758Z" + "iopub.execute_input": "2024-07-26T02:27:50.121781Z", + "iopub.status.busy": "2024-07-26T02:27:50.121589Z", + "iopub.status.idle": "2024-07-26T02:27:50.836550Z", + "shell.execute_reply": "2024-07-26T02:27:50.836015Z" } }, "outputs": [], diff --git a/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb b/dev/.doctrees/nbsphinx/explanations/qiskit-gate-decompositions.ipynb index e4f93353e..b73838c64 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": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:59.990364Z", - "iopub.status.busy": "2024-07-23T22:29:59.989893Z", - "iopub.status.idle": "2024-07-23T22:30:01.579792Z", - "shell.execute_reply": "2024-07-23T22:30:01.579044Z" + "iopub.execute_input": "2024-07-26T02:27:52.245529Z", + "iopub.status.busy": "2024-07-26T02:27:52.245316Z", + "iopub.status.idle": "2024-07-26T02:27:53.834400Z", + "shell.execute_reply": "2024-07-26T02:27:53.833781Z" } }, "outputs": [ @@ -81,10 +81,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:01.582845Z", - "iopub.status.busy": "2024-07-23T22:30:01.582183Z", - "iopub.status.idle": "2024-07-23T22:30:01.780472Z", - "shell.execute_reply": "2024-07-23T22:30:01.779812Z" + "iopub.execute_input": "2024-07-26T02:27:53.837020Z", + "iopub.status.busy": "2024-07-26T02:27:53.836709Z", + "iopub.status.idle": "2024-07-26T02:27:54.052058Z", + "shell.execute_reply": "2024-07-26T02:27:54.051487Z" } }, "outputs": [ @@ -119,10 +119,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:01.783082Z", - "iopub.status.busy": "2024-07-23T22:30:01.782722Z", - "iopub.status.idle": "2024-07-23T22:30:01.893766Z", - "shell.execute_reply": "2024-07-23T22:30:01.893111Z" + "iopub.execute_input": "2024-07-26T02:27:54.054418Z", + "iopub.status.busy": "2024-07-26T02:27:54.054218Z", + "iopub.status.idle": "2024-07-26T02:27:54.168078Z", + "shell.execute_reply": "2024-07-26T02:27:54.167448Z" } }, "outputs": [ @@ -156,10 +156,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:01.896689Z", - "iopub.status.busy": "2024-07-23T22:30:01.896237Z", - "iopub.status.idle": "2024-07-23T22:30:02.006257Z", - "shell.execute_reply": "2024-07-23T22:30:02.005644Z" + "iopub.execute_input": "2024-07-26T02:27:54.170594Z", + "iopub.status.busy": "2024-07-26T02:27:54.170353Z", + "iopub.status.idle": "2024-07-26T02:27:54.280203Z", + "shell.execute_reply": "2024-07-26T02:27:54.279569Z" } }, "outputs": [ @@ -196,10 +196,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.008897Z", - "iopub.status.busy": "2024-07-23T22:30:02.008541Z", - "iopub.status.idle": "2024-07-23T22:30:02.193223Z", - "shell.execute_reply": "2024-07-23T22:30:02.192603Z" + "iopub.execute_input": "2024-07-26T02:27:54.282923Z", + "iopub.status.busy": "2024-07-26T02:27:54.282451Z", + "iopub.status.idle": "2024-07-26T02:27:54.467756Z", + "shell.execute_reply": "2024-07-26T02:27:54.467120Z" } }, "outputs": [ @@ -250,10 +250,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.195857Z", - "iopub.status.busy": "2024-07-23T22:30:02.195447Z", - "iopub.status.idle": "2024-07-23T22:30:02.418459Z", - "shell.execute_reply": "2024-07-23T22:30:02.417831Z" + "iopub.execute_input": "2024-07-26T02:27:54.470375Z", + "iopub.status.busy": "2024-07-26T02:27:54.470022Z", + "iopub.status.idle": "2024-07-26T02:27:54.693572Z", + "shell.execute_reply": "2024-07-26T02:27:54.692970Z" } }, "outputs": [ @@ -292,10 +292,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.421170Z", - "iopub.status.busy": "2024-07-23T22:30:02.420786Z", - "iopub.status.idle": "2024-07-23T22:30:02.557432Z", - "shell.execute_reply": "2024-07-23T22:30:02.556819Z" + "iopub.execute_input": "2024-07-26T02:27:54.696527Z", + "iopub.status.busy": "2024-07-26T02:27:54.696044Z", + "iopub.status.idle": "2024-07-26T02:27:54.832835Z", + "shell.execute_reply": "2024-07-26T02:27:54.832242Z" } }, "outputs": [ @@ -334,10 +334,10 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.559829Z", - "iopub.status.busy": "2024-07-23T22:30:02.559499Z", - "iopub.status.idle": "2024-07-23T22:30:03.083090Z", - "shell.execute_reply": "2024-07-23T22:30:03.082479Z" + "iopub.execute_input": "2024-07-26T02:27:54.835483Z", + "iopub.status.busy": "2024-07-26T02:27:54.835105Z", + "iopub.status.idle": "2024-07-26T02:27:55.363508Z", + "shell.execute_reply": "2024-07-26T02:27:55.362842Z" } }, "outputs": [ @@ -383,10 +383,10 @@ "execution_count": 9, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.085645Z", - "iopub.status.busy": "2024-07-23T22:30:03.085282Z", - "iopub.status.idle": "2024-07-23T22:30:03.257547Z", - "shell.execute_reply": "2024-07-23T22:30:03.256890Z" + "iopub.execute_input": "2024-07-26T02:27:55.366175Z", + "iopub.status.busy": "2024-07-26T02:27:55.365669Z", + "iopub.status.idle": "2024-07-26T02:27:55.536898Z", + "shell.execute_reply": "2024-07-26T02:27:55.536316Z" } }, "outputs": [ @@ -425,10 +425,10 @@ "execution_count": 10, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.260333Z", - "iopub.status.busy": "2024-07-23T22:30:03.259956Z", - "iopub.status.idle": "2024-07-23T22:30:03.443625Z", - "shell.execute_reply": "2024-07-23T22:30:03.443045Z" + "iopub.execute_input": "2024-07-26T02:27:55.539279Z", + "iopub.status.busy": "2024-07-26T02:27:55.539069Z", + "iopub.status.idle": "2024-07-26T02:27:55.722891Z", + "shell.execute_reply": "2024-07-26T02:27:55.722232Z" } }, "outputs": [ @@ -474,10 +474,10 @@ "execution_count": 11, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.446348Z", - "iopub.status.busy": "2024-07-23T22:30:03.445959Z", - "iopub.status.idle": "2024-07-23T22:30:03.578198Z", - "shell.execute_reply": "2024-07-23T22:30:03.577570Z" + "iopub.execute_input": "2024-07-26T02:27:55.725632Z", + "iopub.status.busy": "2024-07-26T02:27:55.725243Z", + "iopub.status.idle": "2024-07-26T02:27:55.856692Z", + "shell.execute_reply": "2024-07-26T02:27:55.856050Z" } }, "outputs": [ @@ -513,10 +513,10 @@ "execution_count": 12, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.580906Z", - "iopub.status.busy": "2024-07-23T22:30:03.580473Z", - "iopub.status.idle": "2024-07-23T22:30:03.761964Z", - "shell.execute_reply": "2024-07-23T22:30:03.761365Z" + "iopub.execute_input": "2024-07-26T02:27:55.859301Z", + "iopub.status.busy": "2024-07-26T02:27:55.858898Z", + "iopub.status.idle": "2024-07-26T02:27:56.038589Z", + "shell.execute_reply": "2024-07-26T02:27:56.037969Z" } }, "outputs": [ @@ -553,10 +553,10 @@ "execution_count": 13, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.764471Z", - "iopub.status.busy": "2024-07-23T22:30:03.764088Z", - "iopub.status.idle": "2024-07-23T22:30:03.926721Z", - "shell.execute_reply": "2024-07-23T22:30:03.926200Z" + "iopub.execute_input": "2024-07-26T02:27:56.041173Z", + "iopub.status.busy": "2024-07-26T02:27:56.040768Z", + "iopub.status.idle": "2024-07-26T02:27:56.204484Z", + "shell.execute_reply": "2024-07-26T02:27:56.203840Z" } }, "outputs": [ @@ -593,10 +593,10 @@ "execution_count": 14, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.929157Z", - "iopub.status.busy": "2024-07-23T22:30:03.928782Z", - "iopub.status.idle": "2024-07-23T22:30:04.059695Z", - "shell.execute_reply": "2024-07-23T22:30:04.059192Z" + "iopub.execute_input": "2024-07-26T02:27:56.206848Z", + "iopub.status.busy": "2024-07-26T02:27:56.206628Z", + "iopub.status.idle": "2024-07-26T02:27:56.338527Z", + "shell.execute_reply": "2024-07-26T02:27:56.337897Z" } }, "outputs": [ @@ -630,10 +630,10 @@ "execution_count": 15, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:04.062134Z", - "iopub.status.busy": "2024-07-23T22:30:04.061798Z", - "iopub.status.idle": "2024-07-23T22:30:04.311872Z", - "shell.execute_reply": "2024-07-23T22:30:04.311301Z" + "iopub.execute_input": "2024-07-26T02:27:56.341189Z", + "iopub.status.busy": "2024-07-26T02:27:56.340802Z", + "iopub.status.idle": "2024-07-26T02:27:56.603915Z", + "shell.execute_reply": "2024-07-26T02:27:56.603165Z" } }, "outputs": [ @@ -677,10 +677,10 @@ "execution_count": 16, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:04.314476Z", - "iopub.status.busy": "2024-07-23T22:30:04.314109Z", - "iopub.status.idle": "2024-07-23T22:30:04.642716Z", - "shell.execute_reply": "2024-07-23T22:30:04.642216Z" + "iopub.execute_input": "2024-07-26T02:27:56.606601Z", + "iopub.status.busy": "2024-07-26T02:27:56.606382Z", + "iopub.status.idle": "2024-07-26T02:27:56.929593Z", + "shell.execute_reply": "2024-07-26T02:27:56.928974Z" } }, "outputs": [ @@ -736,16 +736,16 @@ "execution_count": 17, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:04.644973Z", - "iopub.status.busy": "2024-07-23T22:30:04.644772Z", - "iopub.status.idle": "2024-07-23T22:30:05.112032Z", - "shell.execute_reply": "2024-07-23T22:30:05.111476Z" + "iopub.execute_input": "2024-07-26T02:27:56.932190Z", + "iopub.status.busy": "2024-07-26T02:27:56.931801Z", + "iopub.status.idle": "2024-07-26T02:27:57.389929Z", + "shell.execute_reply": "2024-07-26T02:27:57.389271Z" } }, "outputs": [ { "data": { - 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XcBQiIiIiIiIijpTsErmKjR49mpSUFOrWrUtqaqq93GKxsHnzZlq1anXebdetW4ePjw8rV65kw4YNHDlyxGF9SEgIS5cu5dprr7WXnTp1ivT0dPtyfHw8GzZswGq11txBiYiIiIiIyFVNyS4RoUOHDhw4cMC+vGnTJlq3bl3tNmvXrqVfv34A9OnTh/Xr1zus9/X1JTw83KFs9uzZ3HnnnQ5lsbGxbN269UrCFxEREREREbFTsktESE1NJS4uzr6cmZlJdHR0tdvk5uYSGmqb0T8kJITc3Nxq61ssFhYvXsyNN97oUB4VFcXOnTsvK24RERERERGRc2mCepGr2MyZM1m2bBm9evUiMTGxyjrbtm3joYcecijr378/YWFh5OXlAZCfn0/Lli2rbeuLL75g4MCBNRK3iIiIiIiIyPko2SVyFRs9ejTjx4+vVN6qVSu++OILANq1a0dKSkqlOj/99BNz587l5ptvZsWKFdx+++3VtpWRkUFKSgqzZ88mPT2dGTNmMGbMGLKzs+nZs2eNHI+IiIiIiIiIhjGKSCUJCQlkZGRUW+eaa66htLSU3r17k5CQQKNGjTh8+DCvv/66vU5ycjIbN24kOTmZQYMGsXTpUr799lsSExMZM2YMAFlZWXTo0MGpxyMiIiIiIiJXD/XsErlKmc1mzGZzleuMRiOdOnUiMzOz2icyTp061WG5cePGjBs3zr68bNmyKrc7Xb59+3Y6d+6MwWC4xOhFREREREREqqZkl4hUqarhjTUtPj6e+Ph4p7cjIiIiIiIiVw8NYxQREREREREREa+hZJeIiIiIiIiIiHgNDWOUWqfgFGTluaftuFAI9nVP2yIiIiIiIiJy5ZTsklonKw/GrHZP2zN6QmKEe9oWERERERERkSunYYwiIiIiIiIiIuI1lOwSERERERERERGvoWSXiIiIiIiIiIh4DSW7RERERERERETEa2iCevEKGc+bKdyRisHHF4PJh4BmbWk6YhKhCde7OzQRERERERERcSH17BKv0XTEJJLmFdBp1hHqtOnOrsm3UFF40t1hiYiIiIiIiIgLKdklXsfo60/9G0ZjKSmg5FCWu8MRERERERERERdSsku8jqW0mONLZ2AMCiWgaSt3hyMiIiIiIiIiLuQxya6ysjImTJhAZGQkgYGB9OvXj7S0NAwGAwsWLHB3eFILHJwzgfThYWz5UzRFezYRN/5rTEGh7g7LLcoqzvxutbovDpGaYLXC4SLYXwilFReuL1Lb/VoKvxRAwSl3RyIinqKkAvYVwOFi3duJ57NY4eBv93anLO6ORryVR0xQb7VaGTp0KGlpabz44ovExcUxZ84cBg8eDEBSUpLLYom+uTvxY24ivH00pTn5zO/6kMvaluo1Hf4KjQc/5e4w3KrgFLyfCV9mnykb/B3c2RKGRoPR4LbQRC6Z1QqfZ8OcXfBLoa2sjg/c0gJGt4ZQP/fGJ3Kpfjpme43+6bht2WiAfk1gTGuIuzq/mxGRC/i1FGbuhK9+gaLfvvCJCYYRcTAwEgy6txMPUmGFT3bbfg4V28rq+sKt0XBfKwj0iOyEeAqPuJymT5/OokWLSE9Pp3379gCYzWZiYmIIDw+nRYsWLoul9GQhO97/loAGdWl//x9d1q7IheSfgjGrYHc+nP2F34EieH0LbPsV/i9JCS/xDFYrTNoE//0Fzr5kC8thzm5YfRRm9oK6SniJh/h2P0zY4Hg9W6zw/UFYdQSmdYeO4W4LT0RqoRMlcN8qWw+Ys+/t9hbAK+mQlQdPtFfCSzxDhRWeWwffHXJ8Lzx5Cj7MhB+Pwr96QpBHZCjEE3jEMMYpU6YwYsQIe6ILwGQyERMTY+/V9dRTTxETE4PBYODnn392WiyHVmxmz4LVFO4/5rQ2RC7Hu9srJ7rgzPL/9sPSg66OSuTypBy2Jbqg6mv6lwJ4e5uroxK5PL+WwosbbdfuuaM1LNiGnv91ve2DgIjIaW/8DIeKzn9vN3c3rNVHEvEQC3+xJbqg6mt6x0n4d4aroxJvVuuTXZmZmezZs4chQ4ZUWrdv3z57suuWW25hxYoVREVFuTpEEbcrLIeF+yq/cZzNCMzb7aqIRK7Mp3uqf4OyAN/sh7wyV0UkcvkW/ALl1bxAW7DNw5N61GUhiUgtd6LElhiobjojowHm7XFZSCJX5NM9jj26zmXFNhWL5meVmlLrOwkeOHAAgIYNGzqU79ixg+zsbHuyq1evXpfdRkhICGVllT8xtfSpx9Ohl79fcdS3r5ld5b9esF5Qm+60nJhySftuM+nS6p9P375mijJSa2RfrhQYdw1xr66qto4F2HTsFP7+wa4J6irR4dMSAPz9A9wciXdp/59fMfoHVVunzAJRXa+naHv1175cPF3PztFi3KeEdv4jBpPpvHWslgruHPcaR+e97MLIvJ+uafFUwYk3EvP8V9XWsVhheeZx/K9r5qKorg563XACkw8dPym8YLWCcmjQJonSfeq+LzYWy+U/waDW9+yKiIgAICsry15mtVp55plnsFgsLp2cXqTWsl7si4DGyIhnsF7sNa1HUoknsFi4qNdfXc8icpru7cSbXMr7m94LpYbU+p5d8fHxxMXF8dxzz+Hr60twcDDTpk1j48aNBAUF0aZNmytuIz8/v8ryI2k7+GbQ+Cvev9gsX55Co65tL1gv/QSMWe2CgKqwfHkKiRHuaftKlJTDjUtswxnPxwh0buzH+tJSl8V1Nejy25eupTqvNeovP0LqMdu31ucTYIL967+nTq1/J/Mcup6dY84u+MfW6usYjCY+/8d4us7WfUdN0jUtniq3DPovrn4ItBHo37YB6bq+a5ReN5zj3hWwLbf6oblhfnAiMx3fWt8lR1xl9erVlz2Kr9ZfRj4+PsyfP58mTZowcuRIxo4dy4ABA+jTpw+dOnXCaHTtIRiMRkz+vhh8fMBgwOTvi9FPn7TEvQJ8YHBU9ePgLcCwGFdFJHJlhsVWn+gyAANboESXeIQ/RoK/8fyv0UagRR24pr4roxKR2izMDwY0v/C93e26txMPcUds9YkugKHRKNElNcYjLqWEhARSU1MpKioiIyODBx98kI0bN7plCGPL267j7r1z6fvvJwlu3oC7987l1lVvuzwOkXM90AY61qtcfvo/+Z2x0KexS0MSuWw9GsI9cbbfq3qjalsXHol3aUgily3UD17rAiZD5evZCNTxhb9dA4bqPtWKyFXniQ7QMqRywuv068j9beB3HjgiQa5ONzaDW1rYfj/7vfD09X1NfRjVytVRiTfzyO/Ei4uLycjIYOzYsfayxx57jC+++ILDhw+TnJxMREQEW7deYMzAZcj6NIWsT1NqfL9yYb9Mf5TiPemE/m4ATYY+Zy8vOZTFvn89guVUKY0GPk5Yt4Hs/2AcBTvWYPQLIHbcp/iERpA97UFK9u8gKDaJyNH/cOOROEeAD7zbAz7ZDZ/tgSO2uTWJD7Mlum5spg9S4lkejYd2YfDxLtjy27MtGgTYvvW7MxYCPfIdTK5WvRvDB73hoyxYetBWFmCy9fq6uyU0q+Pe+ESk9gnxhRm9YO5u+Gwv5Pw2qi4hHO5qCeYmbg1P5JIYDPB8AiSGw5zdsDPPVt4kyNZDcViMenVJzfLIjwqbN2+moqLCoWfX22+/zdtvq4eVtyrMXIfB6EObV1ey67XbOJV7BN+wRgAc+uQlYp76BJ/gMAAqCk9StHcTbaesJueHOeSsnEuduGsw+vrTZtJy9n/wFEW7NxIU630PNwgwwb2tbD1iCsttvQiCPPJ/uYjtpii5qe3n9PwZ/7vB9qh1EU8UHwavdoGlv13PKQPARzf2IlKNYF/4UxsY3Rq6LrSV/VsPixcPZTDAH1vYfk7f2y24Xl/Ii3N45C1Wt27dsFqtdOnSxd2hiIsU7lxLSKd+AIR06ENR1noALKfKKDu+j71v3UPWpEGcyj2C0T8IU1BdrBYLFUUn8QkOp/TIHgKjOgIQGNWRgh2pbjsWVzAabN8GKtEl3kaJLvEmSnSJyMXS+594KyW6xFl0myUeoaIwF1NQKADGwBAqCnMBKM87TnH2z0SPnUWjm8dyeP6rGHx88YtoztaH23L0638Sdu1gApq3If/nHwDI37qCiqKT7joUEREREREREXEiJbvEI5jqhFFRZBvYbSnOx1Qn7LfyugRGdcQnuB7B7XtTciCD4n3bOZVzgPbvZtB0xCSOfPUmQbFJ+DeMZud4W+8w37oN3XUoIiIiIiIiIuJESnaJR6jTuiv5W5YDtp5ZQXGdATAF1MHoF4DlVCnF2T/j1zAarBZMwfUwGAz4hITbe4E1vetlWk/8HlNAMKGJv3fTkYiIiIiIiIiIM2lGH/EIdVpdw4nvPiTjr70JTbqRUzmHyNu4hIi+d9No0JPsnHA9BqOJ6L98iH+jGLBayfjrdYCV6L/Mwlp+ip3/dwMGo4l6PW/Hr0Gkuw9JRERERERERJxAyS7xGC0emOqwHBSbCEBoYjKhickO66Ienl5p+zaTUpwVmoiIiIiIiIjUEhrGKCIiIiIiIiIiXkPJLhERERERERER8RpKdomIiIiIiIiIiNdQsktERERERERERLyGJqiXWicuFGb0dF/bIuJ5UlJSGDVqFFFRUURFRTFr1iyH9bNnz6ZJkyYkJyczefJkvvnmGxITE/nnP//pUG/kyJHs2rULf39/PvroI5o1a8b777/PjBkzaNiwIbNnzyYkJIQ77riDxYsXs3DhQnr16kV5eTkPPPAAM2bMcOVhi4iIiIhIFZTsklon2BcSI9wdhYh4mtGjRzN+/Hgee+wxUlNT6d69u33dwoULmTdvHkeOHGHDhg2sXLmSxx9/nHXr1tGlSxd7vZdeeono6Gi+++47pk6dyssvv8ysWbNYtWoVixYtYsaMGTz++OO89dZbvPfee/btfHx8aNCgAbt27aJly5YuPW4REREREXGkYYwiIk6UkpJCTEwMZrOZkSNHVlo/adIkMjMzq93Ho48+Su/evZk8ebJDeXFxMTfddBN9+vRh1KhRAKxatYprr72WHj168MYbbwCQlpZGz5496dGjB+PHjwdg+/btTJkypSYOsdbp0KEDBw4csC/n5OQQEBCAwWBg3bp19OnTB4B+/fqRlpbmsG10dDQAJpMJg8HA8ePHadGiBUajkY4dO5KamgpA48aNK7VrNpv55ptvnHRUIiIiIiJysZTsEhFxstGjR5OSkkLdunXtyRIAi8XC5s2badWq1Xm3XbduHT4+PqxcuZINGzZw5MgR+7olS5bQq1cvfvjhB3x9ffn555+JjY1lxYoVrFmzhq+//pqioiKSkpJYvXo1a9asITU1lby8POLj49mwYQNWq9Wpx+4OqampxMXF2ZezsrKIiooCIDc3l9BQ23jlkJAQcnNzK21vsViYPHkyo0ePpkGDBmRlZVFSUsKKFSs4efLkeduNiopi586dNXswIiIiIiJyyZTsEhFxkXN7HG3atInWrVtXu83atWvp168fAH369GH9+vX2dTExMRQWFgJQUFBA3bp1adq0KX5+foCtd5LRaMTX1xeAiooKmjZtSlBQEACxsbFs3bq15g7QzWbOnInZbKZZs2YkJiZWWScsLIy8vDwA8vPzCQsLq1RnwoQJ3HHHHcTGxmIymRg3bhz9+/dn06ZNNGrUyIlHICIiIiIiNUHJLhERFzm3x1FmZqZ92Nz5VNcTKS4ujpUrVxIfH4/BYCAyMtK+bunSpbRs2ZKAgAAA5syZQ3x8PGFhYfj42KZr9LaeSKd70E2cONGhPC4ujuzsbAA6d+7MihUrAFi+fDldu3Z1qPv555+Tk5PDfffdZy+79dZbSUlJoVu3bgwYMOC87WdnZ1fbS09ERERERFxDyS4RESe7mB5H27Ztw2w2O/y89tpr1fZEmjVrFsOGDWP79u3Ur1+fNWvWALB//35effVV+5xdAMOHD2fHjh0cPHiQLVu2OO1Ya6Pw8HCKiooA21xbnTp1onfv3pSWltKlSxcOHz7M66+/DsATTzzBpk2bMJvNTJo0CYCHHnqI66+/nhUrVnD77bcD8OSTT/LRRx/x+OOP8/HHHwO2+dmqS4aJiIiIiIhr6GmMIiJOdvopgedq1aoVX3zxBQDt2rUjJSWlUp2ffvqJuXPncvPNNzskW8A2t1R4eDhgS+jk5uZSWlrKvffey7Rp0wgODgagtLQUf39/jEYjISEh9t5e2dnZ9OzZs6YP1y1OJwjPZ+DAgSxbtozk5GQmTJjAhAkT7OsaN27MuHHjAOw9wM727rvvVip74403HJKJ5eXlHD161KHnnoiIiIiIuId6domIuElCQgIZGRnV1rnmmmsoLS2ld+/eJCQk0KhRI3tPpOHDh/PBBx9gNptJT0/nhhtuYM6cOWzbto0///nPmM1mDhw4wFdffYXZbOa6666jefPm9qF2WVlZdOjQwRWH6nb33HMPycnJTtu/j48PM2fOdNr+RURERETk4qlnl4iIE1XX48hoNNKpUycyMzOrnetp6tSpDstn90RasmSJw7pRo0YxatQoh7KhQ4cydOhQh7Lt27fTuXNnDAbDxR6KiIiIiIiIR1CyS0TEjaoa3ugK8fHxxMfHu6VtERERERERZ9IwRhERERERERER8RpKdomIiIiIiIiIiNfQMEapdQpOQVaee9qOC4VgX/e0LSIiIiIiIiJXTskuqXWy8mDMave0PaMnJEa4p20RERERERERuXIaxigiIiIiIiIiIl5DyS4REREREREREfEaSnaJiIiIiIiIiIjXULJLRERERERERES8hiaoF6+Q8byZwh2pGHx8MZh8CGjWlqYjJhGacL27QxMRERERERERF1LPLvEaTUdMImleAZ1mHaFOm+7smnwLFYUn3R2WiIiIiIiIiLiQkl3idYy+/tS/YTSWkgJKDmW5OxwRERERERERcSElu8TrWEqLOb50BsagUAKatnJ3OCIiIiIiIiLiQh6T7CorK2PChAlERkYSGBhIv379SEtLw2AwsGDBAneHJ7XAwTkTSB8expY/RVO0ZxNx47/GFBTq7rDEi1mtVf8uzmPReRYRqVXKLZBbCiXl7o5ERETOVVQOuWVQcRXeQ3vEBPVWq5WhQ4eSlpbGiy++SFxcHHPmzGHw4MEAJCUluSwWo58P104eQ5NeHQmICKXoyK9sf/8bdrz/jctikKo1Hf4KjQc/5e4w5CpQYYUv98Ine86UDfkehsXCkCjw8ZivEWo3qxWWHoQ5u86U/WEpDImGu2Ih0CPewUREvNPxEvgoCxb8AoXlYAB6NIS746BLfXdHJyJydfvhMPwnCzbm2Jbr+dnuoUe0hGBft4bmMh7xUWH69OksWrSI9PR02rdvD4DZbCYmJobw8HBatGjhsliMJhPFR3NZcscr5GcfIbxdFDfMHU/JsVz2Lkx1WRwi4h4VVnhuHXx3yHZjf9q+Qnh9C6w9Cn+7RgmvmvD2Npi9y7EL8rESeG8H/HAI3usJdTziXUxExLscLILRq2wJr9OdBaxA6jFYcxQmJMJA192ei4jIWd7fCe/uAONZH1Z+LYOZO+G7g/DvXhDm5774XMUjPo5NmTKFESNG2BNdACaTiZiYGJKSkjhx4gQ33XQTbdq0oWPHjtx6660cO3bMKbGUF5ey8W+fkL/3MFit5Gzdy74l62jYNd4p7YlI7fLFXluiC87c4J/9+4ojjj2+5PKsPmJLdAFYqli/4yS8s82lIYmIyG9e2AAnShzfB8E21NwKTEyHA4VuCExE5Cq3OceW6ILK039YgewC+PsWl4flFrU+2ZWZmcmePXsYMmRIpXX79u0jKSkJg8HA008/TUZGBlu2bKFly5Y8++yzLonP4GOiUbd4ft2e7ZL2RMR9rFaYu9uxR9e5DMC83Zpb6kp9usfx26hzWYGF+2xDZ0RExHWy8iA9p+ovIk6zAl/o1lhExOU+3VN9kseCbZqQEyWuish9av0AkAMHDgDQsGFDh/IdO3aQnZ1NUlIS4eHhmM1m+7prr72WadOmXXQbISEhlJWVVSpv6VOPp0N7VbvttZNHc6qgmF2f/XDR7V2t+vY1s6v81wvWC2rTnZYTUy5p320mXVr98+nb10xRhoajStVMIRG0e/9gtXWswKFiCGkaQ3lO9XXl/NrPzsEYUKfaOiUV0LxzP4p2rHZRVN6vw6e2Ox9//wA3R+LddJ5dR+e65oX//s80+9Pb1daxAu8u+pGnkvq4JqirhK5n19B5dg2dZ+do+6+9+IY3qbZOhRXa9LuV/PX/c1FUl89iqe6rlerV+p5dERERAGRlZdnLrFYrzzzzDBaLpdLk9BaLhWnTpjFw4ECnx3bNiyNp0LkNS++ahOWUuheIeD1DdX26KlV2WhhXhYs915f0NxERkSt2ka+7Br0Pioi4nu6h7Wp9z674+Hji4uJ47rnn8PX1JTg4mGnTprFx40aCgoJo06aNQ/1HH32U4OBgHnnkkYtuIz8/v8ryI2k7+GbQ+CrXdX35Xpr06si3Q1+iNKfq7cXR8uUpNOra9oL10k/AGDd11Fi+PIXECPe0LbWfxQqDlsHh4srzlJytQQCsPbgbk/e/hzjNg2tg/fHqh8n4GSE77TtCr4IJNl2ly1e2f0tLS90biJfTeXYdneuatz0X7l5RfR0DMKZ/N554Sue9Jul6dg2dZ9fQeXaOp3+ClMPVT6liBLYt+5yGgS4L67KtXr2aXr2qH213PrW+Z5ePjw/z58+nSZMmjBw5krFjxzJgwAD69OlDp06dMBrPHMJTTz1FZmYm8+bNcyivaV1fuY8mvTvZEl0n8pzWjojULkYDDIutPtEFMDQaJbqu0LCY6hNdBmBAc5ToEhFxsfgwaBdW/byKYHvEvYiIuNbtMRdOdJmb4BGJritV63t2ASQkJJCa6jiP0jvvvEOfPmfmAXjuuedYv349//vf//D393daLHWa16fdmJuoKCnjtrVT7eVH1u5g2V2TnNauiNQOd8TA2qO2x6tXpUsEjGjp2pi8UZ/GMDgKvsy2JbbOfs82AFHB8Fg7NwUnInKVezkJ7lsFBaccv5gwYlt+soPtdVpERFyrS324u6XtqeZV3UM3CoSnO7opOBfziGTXuYqLi8nIyGDs2LEAbN26lVdffZXWrVvTo0cPAGJiYvjyyy9rvO3C/cf5sMltNb5fuTgF21ax/4OnwGCkXo8hNLrlSfu6jOf7cvq/c4s/v0tgi3YcmvcKeelL8WsUQ/SjMzGYPPKSl1rExwj/6AYf74J5e+DYb08yqe8Pt8XAPS3Bz+TeGL2BwQDPdYK2dWHObttjkgGCfWxJsFGt1KtLRMRdokNg9nUwMxO+2Q+nfst4dagH97aC6xq7Nz4RkavZY+0gLhRmZ0HWbzMuBZpgUAu4rzWEO69vUK3ikZ/8N2/eTEVFhX1y+vbt22O1XmhgkXgDv0axtJ68AqOvHxnP96XBgAcx+gcBYDCaaP3KMnvdUzmHKNq9kTavruDo/94hN20h9boPdlfo4kV8jbab+bvj4Ohv83c1DLAlwqTmGAy2YTC3RsHREtuHqYYBSiaKiNQGzerAC4nwVAe4bpGt7P3ebg1JRESw3UP/IRJuag7XLLSVLe0PAVfZPbRHJru6deum5NZVyi+iqf13g9EEhrOzC1Yynjfj3ziOFn9+h9Jj2QS0aA9AYFRHTq77n5JdUqNMBmgS5O4ovJ/BYOtyLSIitU+QR36aEBHxfmc/cPFqS3SBB0xQL1KVvPSl+DdpidEvwF4W+8x82kxKITAynuNLZ+LfKJbCjB+xWiwUbF1BRdFJN0YsIiIiIiIiIq6gZJd4nLLj+zk8/1Waj3rDodwnuB4AdbsOpGTfVnzDGhJ27WB2TujHqdwj+NRt6I5wRURERERERMSFlOwSj2I5Vcre/3cvLR6YhinQ8TE/FUW22fcKd6Ti1zAGgIY3PUSbSSn4NYiibuebXB6viIiIiIiIiLiWRtmLR8n5YQ4l+7aRPe3PADQbMYnSw7uJ6Hs3O19Ixujrh6lOGDGP/weAXa/eSkVRHsHtexPctrs7QxcRERERERERF1CySzxK/eRR1E8e5VAWHN8TgPi/r61Uv+Vfv3BJXCIiIiIiIiJSO2gYo4iIiIiIiIiIeA0lu0RERERERERExGso2SUiIiIiIiIiIl5DyS4REREREREREfEamqBeap24UJjR031ti4iIiEjNSElJYdSoUURFRREVFcWsWbMc1s+ePZsmTZqQnJxM79692bhxIzt27KB58+YO9YqKinjggQfYv38/ZrOZF154gZEjR7Jr1y78/f356KOPaNasGaNGjeL999/HYDC48jBFRKSWUbJLap1gX0iMcHcUIiIiIlITRo8ezfjx43nsscdITU2le/fu9nULFy5k3rx5AHz22Wc8++yzVe7jzTff5KGHHuLaa6+1l7300ktER0fz3XffMXXqVCZPnky3bt1Yvnw5/fr1c+5BiYhIraZhjCIiInJRUlJSiImJwWw2M3LkyErrJ02aRGZmZrX7ePTRR+nduzeTJ0+utC4tLY2ePXvSo0cPxo8fX2kZoLi4mJtuuok+ffowatQoALZv386UKVNq4AhrD2ee62+//Raz2YzZbCYiIoL09PQq61d1/r3xXIvrdOjQgQMHDtiXc3JyCAgIsPfCaty48Xm3/emnn/jwww/p27cvqampAERHRwNgMpns++jbty+LFi1y0hGIiIinULJLRERELtro0aNJSUmhbt269g+cABaLhc2bN9OqVavzbrtu3Tp8fHxYuXIlGzZs4MiRIw7rk5KSWL16NWvWrCE1NZU2bdo4LOfl5bFkyRJ69erFDz/8gK+vLz///DPx8fFs2LABq9XqtON2B2ed6/79+5OSksLy5cuJjY0lISGhyvrn/j3y8vK89lyLa6SmphIXF2dfzsrKIioq6qK23bZtG8OHD2f+/Pk899xz9nKLxcLkyZMZPXo0AFFRUezcubNmAxcREY+jZJeIiIhcsnN7aGzatInWrVtXu83atWvtQ4v69OnD+vXrHdb7+voCUFFRQdOmTalTp47DclBQEDExMRQWFgJQUFBA3bp1AYiNjWXr1q01c3C1jDPONdh6ynTp0gWDwVBl/XP/HkFBQYB3n2txjpkzZ2I2m2nWrBmJiYmXtY/w8HB69+5NREQEPj5nZmKZMGECd9xxB7GxsTUUrYiIeAMlu0REROSSndtDIzMz0z6k6Hxyc3MJDbU9CSQkJITc3NxKdebMmUN8fDxhYWH4+PhUWo6Li2PlypXEx8djMBiIjIwEvLs3h7PO9YIFCxg0aFC19c89/+Dd51qc43QvxYkTJzqUx8XFkZ2dfVH76Nq1K1u3bqWkpITy8nIAPv/8c3Jycrjvvvvs9bKzs6vt9SgiIlcHJbtERETkol1MD41t27bZ54Q6/fPaa68RFhZGXl4eAPn5+YSFhVXadvjw4ezYsYODBw+yZcuWSsuzZs1i2LBhbN++nfr167NmzRonHq17Oftcnz2J9/nqn3v+RWpSeHg4RUVF9uURI0awZMkS7rzzTr777jsAnnzySQCefvppxo4di9ls5qmnngLgiSeeYNOmTZjNZiZNmgTYrusBAwa4+EhERKS20dMYRURE5KKdfqrauVq1asUXX3wBQLt27UhJSalU56effmLu3LncfPPNrFixgttvv91hfWlpKf7+/hiNRkJCQvDz8wOwLwcEBGCxWAgPDwdsH5RP90DKzs6mZ8+eNXik7ufMc717926aN29uP8ddu3atVP/cv0dAQADgnedanOd0EvZ8Bg4cyLJly0hOTuY///lPpfVvvPEGAM2bN2fZsmUO66rqFbZ27Vruv//+KwtaREQ8nnp2iYiIyBVLSEggIyOj2jrXXHMNpaWl9O7dm4SEBBo1asThw4d5/fXXAfjqq68wm81cd911NG/enM2bNzsst2rViuHDh/PBBx9gNptJT0/nhhtuAGwTXXfo0MHpx1kb1MS5PnsI4/nqn/v3OD007Go61+J899xzD8nJyTW2vw8++ACjUR9xRESudurZJSIiIheluh4aRqORTp06kZmZWe18OVOnTnVYbty4MePGjQNg6NChDB061GH9ucv16tVjyZIlDmXbt2+nc+fOGAyGiz2UWs/Z5/rxxx+/YP2q/h7eeK5FRETE+yjZJSIiIjWiqiF3rhAfH098fLxb2nYXnWsRERGR81MfXxERERERERER8RpKdomIiIiIiIiIiNfQMEapdQpOQVaee9qOC4VgX/e0LSIiIiIiIiJXTskuqXWy8mDMave0PaMnJEa4p20RERERERERuXIaxigiIiIiIiIiIl5DyS4REREREREREfEaSnaJiIiIiIiIiIjXULJLRERERERERES8hiaoF6+Q8byZwh2pGHx8MZh8CGjWlqYjJhGacL27QxMRERERERERF1LPLvEaTUdMImleAZ1mHaFOm+7smnwLFYUn3R2WiIiIiIiIiLiQkl3idYy+/tS/YTSWkgJKDmW5OxwRERERERERcSElu8TrWEqLOb50BsagUAKatnJ3OCIiIiIiIiLiQh6T7CorK2PChAlERkYSGBhIv379SEtLw2AwsGDBAneHJ7XAwTkTSB8expY/RVO0ZxNx47/GFBTq7rBERERERERExIU8YoJ6q9XK0KFDSUtL48UXXyQuLo45c+YwePBgAJKSklwaz7WvjiHyhi74hgZxqqCY7K9TWffKf7CcKndpHOKo6fBXaDz4KXeHISLicX7+FebsOrP8x6UwJBqGRkOwr7ui8j578+Hj3WeWb/gWBrWAO2KhfoD74hK5HHll8Oke+Dz7TNmEDXBXLLQNc1tYIiIigIcku6ZPn86iRYtIT0+nffv2AJjNZmJiYggPD6dFixYujWf7B9+y7uXZlBeX4h8egnn6k3R67FbS3/jUpXGIiIhcqUX74MWNgOFM2eFimLrdtu7fPSHM323heY11x+GxH6Hccqbs1zKYlQULfzvPLYLdF5/IpTheAmNWwf4ix/LF+2HJAZjcGa5v6p7YREREwEOGMU6ZMoURI0bYE10AJpOJmJgYe6+uW265hYSEBJKSkujduzfp6elOi+fkzv2UF5faFgwGrBYrIbFNnNaeiIiIM+wvhBfTwQJYrJXXZxfAxE2ujsr7FJbDk2m2RJflnHVWbEmvp38CaxV/A5Ha6P82wsGiyuWnX0ueXw9Hi10eloiIiF2tT3ZlZmayZ88ehgwZUmndvn377MmuWbNmsWnTJjZu3MhTTz3Ffffd59S4Oj5yC3dlzebOn98nvH0U26Z/7dT2REREatrne6tPsFiAHw7D4So+1MrF+2afLeF1bqLrNIsVsvJhU45LwxK5LHsLYO2x81/PVqDCCl9mn6eCiIiIC9T6YYwHDhwAoGHDhg7lO3bsIDs7257sqlu3rn3dyZMnMRovPo8XEhJCWVlZpfKWPvV4OrRXldtseee/bHnnv9Rt1YzYW3tTfPTXi27vatW3r5ld5Rc+T0FtutNyYsol7bvNpEurfz59+5opykitkX2JiNR2ca//RGB0p2rrWIGEQfeRu+Jj1wTlhVo8OZfQawZiMJ3/tstqsXDzXyZx9LOJLozM+3X4tAQAf39NilZTwm/4E83uf6faOharlbcW/shjCWbXBHWV0PXsGjrPrqHz7Bqefp4tlvN9tXJhtb5nV0REBABZWVn2MqvVyjPPPIPFYnGYnH7MmDG0aNGC559/nlmzZrkkvpOZB8jZmk3vfz7mkvZERERqSnXJF4d6RpOTI/FyRh8wGC5QyarzLB7hYl43DAaDrmcREXGrWt+zKz4+nri4OJ577jl8fX0JDg5m2rRpbNy4kaCgINq0aWOvO2PGDABmz57NuHHjWLRo0UW1kZ+fX2X5kbQdfDNo/AW3N/qaCNWcXRe0fHkKjbq2vWC99BMwZrULAqrC8uUpJEa4p20REVd7aSP8b9/5hyOdtuLTf9O67r9dEpM3mpEB72VUX8dgNDFrynP0/eg51wR1lejyle3f0tJS9wbiRTbnwH2rqq9jBEbe0JVnntR5r0m6nl1D59k1dJ5dw9PP8+rVq+nVq+rRdhdS63t2+fj4MH/+fJo0acLIkSMZO3YsAwYMoE+fPnTq1KnK4Yp33303y5cv58SJEzUej29IEHG3m/ELDQKgXnwUCWOHcDBFM/iKiIhnGRJdfaLLCHSsB63rVlNJLuiWKDBW07HLCET4Q+9GLgtJ5LJ1rActQ6r/EGHB9voiIiLiLrW+ZxdAQkICqamO8yi988479OnTB4CCggJ+/fVXIiMjAVi4cCHh4eGEh4fXfDBWK7FDruOaF0di9POh5Hge2YvWkv76vJpvS0RExIk61IORcTArCwzY5uc6zQgE+cD4BDcF50XqB8AzHeHVzbbzenaC0YgtETbxd+BT67+CFLGNyH3pd/CnVVBa4Xg9n34deaANxIW6KUARERE8JNl1ruLiYjIyMhg7diwAhYWFDB06lMLCQkwmE+Hh4SxcuBDDBefHuHSnCopZMuzlGt+viIiIOzwSD5F1bAmvfYW2MqMB+jWGB+MhKti98XmLIdG23lszdsKOk2fKuzaAB9raEo8inqJtXfiwN0zbYXti6+lEeVQwjGoFf4h0a3giIiKemezavHkzFRUV9snpGzVqxI8//ujmqMRVyvNzyPy/Gyg5kEHSvAKHdXv/372UHMjA4OtPk2EvENqpH1kTb6aiKA+DyYfYcfPwCa3vpshFRGofg8E2zG5QC9hbAMUV0CQQ6vm7OzLvY25i+9lfCCfLoEEANAx0d1Qil6dlKPy9K5wogSMltp6gUXUu4lkMIiIiLuCRya5u3bphtVovXFG8kikwhFYvLWX3326vcn3s05/hV7+5fbnls19g8PHlxPLZ5Pwwh4Y368mZIiLnMhggJsTdUVwdmtex/Yh4g4gA24+IiEhtotkhxOMYfHzxCTnffGwGdr8+jN1/u53y/Bx7fQDLqRICIuNdFKWIiIiIiIiIuIOSXeJVmo/+B22nrKZer2Ecnv8qYBv2uOPpHhz9+m0CmivZJSIiIiIiIuLNlOwSr+ITbJvhN6zrQIr3bbWVhYTT9m9raHbXRI589aY7wxMRERERERERJ1OyS7xKRVE+AAUZqfg3jMFqsWCtKAfAFFQXo68mlRARERERERHxZh45Qb3IzgnJFO3ZyM4JyTS980UKdqTS+NZx7H3rHk7lHcPo60/0Yx9iKSkka+IfwWC0lf3lQ3eHLiIiIiIiIiJOpGSXeKTWryxzWA5u1wuAls99Walum8k/uCQmEREREREREXE/DWMUERERERERERGvoWSXiIiIiIiIiIh4DSW7RERERERERETEa2jOrlqm11sPc6qwhLXPz3R3KJXclTWbb255gZyf9zi1nbhQmNHTqU1U27aIiIh4v5SUFEaNGkVUVBRRUVHMmjXLYf3s2bNp0qQJ9evXZ+zYsQBkZmYydepUbrnlFnu9e++9l4yMDPz9/XnhhRfo168f77//PjNmzKBhw4bMnj2bwMBAHnjgAWbMmOHCIxQR8UwX+/ocGRnJfffdh9FopEuXLrz55psO9ap6fQY4fPgwMTExZGZm0rx5c0aNGsX777+PwWBw2TGK8ynZ5USNe7Qn8cnbiegUC8CJzbtJ//unHE7d6ubIbBKfvJ2IhJZ8d8+rF1X/47i7nRyRTbAvJEa4pCkRERG5io0ePZrx48fz2GOPkZqaSvfu3e3rFi5cyLx58zAYDKSkpABgNpu5/vrrK+3ns88+o3nz5gCUl5cza9YsVq1axaJFi5gxYwaPP/44DRo0YNeuXbRs2dIlxyYi4sku5vU5JyeHxYsXExwczN13383OnTtp3bq1w37Ofn0+7Z///CfdunWzL3fr1o3ly5fbk2HiHTSM0UmaJ3fmhjnj2bdsPZ/+7s98+rs/s2/Zem6YO57m1/+uym0Mppr7cxh8TDW2LxERERFv1qFDBw4cOGBfzsnJISAgwOFb/sOHD1OnTh1CQkIctjUYDAwbNozbb7+dnJwcjh8/TosWLTAajXTs2JHU1FTAlij75ptvXHNAIiJeorrX54iICIKDgwEwmUyVemad+/oMkJuby/Hjx4mOjrbX69u3L4sWLXL+wYhLKdnlJN0m3kfWZylsnfYVp/KLOJVfxNZpX7Fr/g90nXgfALelvUunsUO46atJjNj9MfUTbN/0+dYJwDz9Se7KnM0tP7xJU3PCBdtr3L09d2XNpvWIZG77aRoDl/0dgCbXdeKPi6cwPGMWA797gxb9rwGgRf9r6PjYYJr1TeSurNnclTUbo1/1Hf3uPTSfiISWGExGhu/8iLA2kba2e7Tn3kPzifqjLdse2DCMe375BN/gwMs7eSIiIiIulJqaSlxcnH05KyuLqKgohzoLFy7k5ptvrrTtP/7xD1avXs2wYcN49dVXadCgAVlZWZSUlLBixQpOnjwJQFRUFDt37nTugYiIeJmLeX3eunUrx48fp1WrVg7l574+A0ydOpUHHnjAoZ5en72Tkl1OENqyKSFRjdjz39WV1u3+chWh0Y0JjW0CQNxQM6uffJeP4+7mxG9zYcXc0ovdX65kTtuRbP7nl/R7/2mCGodfsF2fQH/qJ8bx3+vG8vWAZwiJbkzyrGf5+Z3/MrfdKNZP+g99pj1OePtofvn2J7a8/SUHlqfzcdzdfBx3N5ay8os6PmuFhSNrt9OkV0cAmvTuSN6eQzTp1cG23KsjJzbv5lRB8UXtT0RERMQdZs6cidlsplmzZiQmJlZbd+HChQwcOLBSeb169QAYOHAgW7duxWQyMW7cOPr378+mTZto1KiRM0IXEfFqF/v6nJeXxyOPPML06dMrrTv39bm4uJht27aRlJTkrLClFlGyywkCwm3d24uP5FRaV3z0V1udCNtM6Bmzl3Iy8wBWi8WebDr84zZ++SYNa4WF3fNX8Ou2bKJv7l5pX+cyGI2sn/wx5cWlVBSXETOoB0fWbmfvwlSsFRYOfL+RX5aso+XQPld8jIdX/eyQ3Er/+6f25Ffjnh04tPrnK25DRERExJlGjx5NSkoKEydOdCiPi4sjOzvbvlxYWMjJkydp2rRppX3k5+cDtt4HMTExANx6662kpKTQrVs3BgwYAEB2dnalXgciIlK1i3l9tlqt3Hfffbz88ssX9fq8d+9edu3aRf/+/Vm6dCkPP/wwoNdnb6UJ6p2gJMf2nyqwUTgnsw46rAtsaMsul5zIA6DwwLFK2xfudywr2Hfsonp2lReXUvpb2wBBTSIoOHdf2UcIjrrybxgPrdpCp7FD8AsNIjS2KXv+u5rfPXsnQU3CadKrA2uefO+K2xARERFxh/DwcIqKiuzLS5Ys4fe//719+fDhw8yePZtx48Zxzz33cOzYMfz9/fnwww8BeOihh8jIyKBdu3a89dZbgO3pYqNHj3blYYiIeJ2zX59TUlL4/vvvOX78OABvvPEGzZo1O+/rc2RkJD/++CNge1Lj6UTa8uXL7V9MiPdQsssJ8nYdJP+XI8QM7MHhc3o4xQzqQf4vR8jbfQgAq8Vaafs6zRs4LAdHNuDYhguPIbZaLA7LRYdO0Lh7+3P21ZCiQyeqrH8pcrbuxWqx0O5Pf+ToTzuwWiwcWvUzrYcnE9SwHkd/2nHZ+xYRERFxNrPZjNlsPu/6gQMHsmzZMpKTkxk8eDCDBw+2r2vcuDHjxo0D4Msvv6y07bvvvuuwXF5eztGjRx3mnRERkapdyuvz6Ynnz1bd6/Npp7+cAFi7di3333//ZccrtZOGMTpJ2gsfEjesL+3/fDO+wYH4hgTR7s9/JO72vqRN+KDabRtf247I33fBYDISe2tv6rWLYu//frzkGPYsWEOjbvFE/aEbBqORZn0TibyxC7vmrwCg+PhJ6jSrf9lPgTy8Zivt7v8Dh1ZtAeDQ6i20u/8PHF2/k4rSU5e1TxEREZHa4J577iE5OblG9uXj48PMmTNrZF8iIle7mnx9Bvjggw8wGpUa8Tbq2eUk+xb/xLIRk0l44jYSx90OwInNu1k2YrI9OXQ+e/67ipZD+3Dd1L9QeOgEy8f8naKDJy45hvy9h/n+vr/xu7/eRc83H6Zw/zFWPPI2Ob9NhL93YSqxt/Tijp/fx2Aw8Emn0Rc9ST3AoZVbiP5jdw6tsvVeO7TqZ/xC62i+LhERERERERFxGyW7nOjQqi3VJrbmd32oUtmqsVMvq63DqVv5OO7uSuUHlqdzYHl6lduU5Rbw7ZD/u6j9G37LdJ+dDMv4aAkZHy2xLxcf+ZUPm9x2CVGLiIiIiIiIiNQs9dWTi1KvfRSWU+VVTqgvIiIiIiIiIlJbqGeXBxmU8ibBzetXKt+3ZD0rHnrrivef/PHzNOrWtlL5qYISjL4m1k+eQ1leURVbioiIiIiIiIjUDkp2eZAF5seduv9ld01y6v5FRERERERERJxNyS6pdQpOQVaee9qOC4VgX/e0LSIiIiIiIiJXTskuqXWy8mDMave0PaMnJEa4p20RERERERERuXKaoF5ERERERERERLyGkl0iIiIiIiIiIuI1lOwSERERERERERGvoTm7xCtkPG+mcEcqBh9fDCYfApq1pemISYQmXO/u0ERERERERETEhdSzS7xG0xGTSJpXQKdZR6jTpju7Jt9CReFJd4clIiIiIiIiIi6kZJd4HaOvP/VvGI2lpICSQ1nuDkdEREREREREXEjJLvE6ltJiji+dgTEolICmrdwdjoiIiIiIiIi4kEcku8rKypgwYQKRkZEEBgbSr18/0tLSMBgMLFiwwN3hSS1xcM4E0oeHseVP0RTt2UTc+K8xBYW6OywRERERERERcaFaP0G91Wpl6NChpKWl8eKLLxIXF8ecOXMYPHgwAElJSW6JyxTgx6Dv3yCwYRgfx93tlhjEUdPhr9B48FPuDsOtLFb47iB8ugcyToLJAN0bwrBYSAh3d3TeJfWo7TxvOGFbTgiH22OgZ0MwGNwbm8il2pMP8/bAsoNQUgEt6sCt0fDHSAgwuTs6kUuTWwZf7IUFv5wpe3c7DI2BBgFuC0tERID1x233HKc9uAaGRkPfJrqHlppV65Nd06dPZ9GiRaSnp9O+fXsAzGYzMTExhIeH06JFC7fElTRuGAX7jxPYMMwt7Yucq9wC4zfYPqwaActv5csOwZKD8Hh7uKulOyP0DlYrvL0NZu9yPM8/HoM1R+GOGHiyg96sxXP8cBie+cmWLD99PWfmwWub4atf4N3uEOzr1hBFLtr+Qrh/NRwtcSz/IBPm74VpPaBNXbeEJiJy1Zu5E6btAONZ98nrj8NPx+EPzeH/khzXiVyJWj+MccqUKYwYMcKe6AIwmUzExMRU6tX10ksvYTAY+Pnnn50aU0SnWJr1TeTnqf91ajsil2JWli3RBWc+sILtAyzAm1ttbyZyZRYfsCW6oOrz/Mke+Hqfy8MSuSyHi+DZdVBhdbyef7uc2Z5rS3qJeAKrFZ5Mg+MlVawDCk7BX36EU5bK60VExLlWH7EluuDMfTOcuf/43374ZLfLwxIvVquTXZmZmezZs4chQ4ZUWrdv3z6HZNeGDRv48ccfiYqKcmpMBpORHn9/gB+fm4GlrNypbYlcrHLLhd8cjOgNpCbM2V39C6cB+HiX7UOXSG33Rbbt9eN8l6sVW8/QqpIHIrXN+hOwK98xcXs2C3C8FJYfcmVUIiICMHf3hXttzdntmAgTuRK1ehjjgQMHAGjYsKFD+Y4dO8jOzrYnu0pLS3n44YeZO3cuZrP5ktsJCQmhrKysUnlLn3o8HdrLoazDQ4M4sWUPR37cTuPu7SttI+fXt6+ZXeW/XrBeUJvutJyYckn7bjPp0uqfT9++ZooyUmtkX64UEJtEqyk/VlvHAnz3Swn+vTV+43IZ64TR/sMj1daxAln5ENy4BeW51dcVcbe419MIiOqEoZpxtxYrtP/jveSunOvCyEQuXeO7JlF/4OMYjOefaM5aUc6Db8xh/9Q/uTAykZrR4VPbNw/+/pp8zpl0np3AaKTDJ4UYDNX3tTlcDGGxnSg9mOGiwLyfp1/PFsvld8eu1T27IiIiAMjKyrKXWa1WnnnmGSwWiz3Z9cILLzBixAiio6OdGk9IdGPa3PN71r0y26ntiFwqg+niJtS52HpStUs5fwYfPydGIlIzDCa/ahNd9nq6nsUDGHx8wXrhm2JdzyIirmUw+lww0WWv66PPK1IzanXPrvj4eOLi4njuuefw9fUlODiYadOmsXHjRoKCgmjTpg2pqamsW7eO11577bLbyc/Pr7L8SNoOvhk03r7cqGtbAuvX5dbVbwNg9DHhWyeQO7a+z/LRr3Pkx+2XHcPVYPnyFBp1bXvBeuknYMxqFwRUheXLU0iMcE/bVyK3DPovhvJquv0agLgwE+tLS10Wl7epsNrO86+VO4I6CPWFX/dl4Vurv04QgefXw9KDFx4y8N3c6bSvN901QYlcpq9+gZfTq69jMPnw/J/uYNTf7nBJTCI1qctXtn9LdS/nVDrPznHLMjhQdP6pEwD8jXBw+3rq1OoshWfx9Ot59erV9OrV68IVq1CrP4r5+Pgwf/58mjRpwsiRIxk7diwDBgygT58+dOrUCaPRyA8//MD27duJiYkhOjqa/fv3c+ONN7JkyZIaj2fPwjV83uMRvkp+iq+Sn2L1k+9xqqiEr5Kf4tiGzBpvT+RihfnBDc2q/w9tBW6PcVVE3slkgNuibYnD8zEAg6NQoks8wm3R1Se6jEDrUGgX5qKARK7A75tCkKn612iTAQZGuiwkERH5zdCY6hNdRuAPkSjRJTWm1n8cS0hIIDU1laKiIjIyMnjwwQfZuHGjfQjjs88+y8GDB9m7dy979+6lefPmLF68mN///vc1HktFcRlFh3LsP6Un8sBqpehQjiarF7d7JB4iAs7/n7pLBNzcwqUheaURcdAypOoPU0YgKhjubeXqqEQuT2I4DDnPc12M2JK24xPhIkY6irhdgA9MSLT9fu4le3r5iQ6290oREXGt26KhU73z30M3CoQ/t3FxUOLVan2y61zFxcVkZGQ4PInRXQ6nbuXjuLvdHYYIYHuD+KA39Gvi+KSTIBPcFQv/71r1NqoJdXzg373glijwO+t8+hpt30bN7AUhmmpAPITBAM90gsfaQbi/47rO9WFmb/XqEs9yQzN4sxvEhTqWR9aBSZ1hmHo4i4i4hb8Jpna3jTQJOOs5IiaD7bX7g976MkJqlsd1Ety8eTMVFRXnTXbt3bvXtQGJy/wy/VGK96QT+rsBNBn6nL385IbFHPrkJUzB9Yh9cg6WsmJ2/902F0fZ8X00/MOjNBo4FoDcH//L/g/H0eE97xx22jgQXrsGjpdA/99G8i6+EQI97n967RbiC88n2BIEfb+xlX37e6irOY/FAxkNcE8cDI+Fa7+2lf33emhex71xiVyuXo2gZ0PYlW97PwzzgzZ11UNRRMTdAn1gXEd4KB6259qmUogLrfyFm0hN8LiPwN26dcNqvcBMuuJ1CjPXYTD60ObVlex67TZO5R7BN6wRAEcWvEHrV74jL30Jx5b8m8aDn6LNpBQAdv/9Tup2vsm+n19TP8evvvdP1lH/rG9FlOhynrN7cCnRJZ7O56yeikp0iaczGGwfoM7t4SUiIu5Xxwe61Hd3FOLtNKhJPELhzrWEdOoHQEiHPhRlrQegoqQQU2AIRv9AQjr2oygzzb6NtfwUZUf2ENCsNQB5m78nOL4XXORjb0VERERERETE8+hTv3iEisJcTEG2r2eNgSFUFOaeKQ88XR5MReFJ+zb5P6cQ3MFsXz6x7H0i+o10WcwiIiIiIiIi4npKdolHMNUJo6IoDwBLcT6mOmFnyotPlxdgqlPXvk1u2leEdRsE2IZBBkS2w+inWQ9FREREREREvJmSXeIR6rTuSv6W5QDkb11BUFxnAEwBdagozsdSVkL+luUEtepq36Zw51rqtO4GQPEvP5OXvpTMF/tTtCedQ59Ocv1BiIiIiIiIiIjTKdklHqFOq2uwniol46+9CYpJ4FTOIU4snw1Ao0FPsHN8X44tfo/6N4wBoGj3RoKiEzAYbZd4/evvpc2k5bR68VuCYhJpcvvzbjsWEREREREREXEePadNPEaLB6Y6LAfFJgJQ93f9qfu7/uesSyLqkX9XuZ/WryxzSnwiIiIiIiIi4n7q2SUiIiIiIiIiIl5DyS4REREREREREfEaSnaJiIiIiIiIiIjX0JxdUuvEhcKMnu5rW0RERETEk6SkpDBq1CiioqKIiopi1qxZDutnz55NkyZNiIyM5L777sNoNNKlSxfefPNNh3p33HEHhw8fJj8/n8jISP773//y+9//nuLiYkJDQ5k3bx4BAQE88MADzJgxw5WHWCvU1Hm+9957ycjIwN/fnxdeeIF+/foBcPjwYWJiYsjMzKR58+aMGjWK999/H4PB4LJjFPEWSnZJrRPsC4kR7o5CRERERMRzjB49mvHjx/PYY4+RmppK9+7d7esWLlzIvHnzyMnJYfHixQQHB3P33Xezc+dOWrduba/3ySefAPCvf/3LnmCZPn060dHRzJw5kzlz5nD//ffToEEDdu3aRcuWLV17kLVATZxngM8++4zmzZs7lP3zn/+kW7du9uVu3bqxfPlyezJMRC6ehjGKXKVSUlKIiYnBbDYzcuTISusnTZpEZmZmtft49NFH6d27N5MnT660Licnh86dOxMcHOxQ/tZbb5GcnAzA9u3bmTJlyhUchYiIiIicrUOHDhw4cMC+nJOTQ0BAAAaDgYiICPu9mclkOm+PoYULF3LzzTcDEB0dXam+2Wzmm2++ceJR1H5Xcp4NBgPDhg3j9ttvJycnB4Dc3FyOHz9uP98Affv2ZdGiRc4/GBEvpGSXyFVs9OjRpKSkULduXVJTU+3lFouFzZs306pVq/Nuu27dOnx8fFi5ciUbNmzgyJEjDutDQkJYunQp1157rb3s1KlTpKen25fj4+PZsGEDVqu15g5KRERE5CqWmppKXFycfTkrK4uoqCiHOlu3buX48eNV3usVFBSQn59PkyZN7GVFRUX8+9//5vbbbwcgKiqKnTt3OukIPMOVnOd//OMfrF69mmHDhvHqq68CMHXqVB544AGHejrPIpdPyS4RqfTN1KZNmyp1tT7X2rVr7V2q+/Tpw/r16x3W+/r6Eh4e7lA2e/Zs7rzzToey2NhYtm7deiXhi4iIiFz1Zs6cidlsplmzZiQmJp63Xl5eHo888gjTp0+vcv3ixYvp37+/Q9kDDzzAiy++SN26dWsyZI9UE+e5Xr16AAwcOJCtW7dSXFzMtm3bSEpKclbYIlcdJbtEpNI3U5mZmQ5dqKuSm5tLaKhtRv+QkBByc3OrrW+xWFi8eDE33nijQ7m+sRIRERG5cqd77E+cONGhPC4ujuzsbACsViv33XcfL7/8Mk2bNq1yPwsWLGDQoEH25X/84x+0a9eOG264wV6WnZ1d7QgAb1YT5zk/Px+w3YPHxMSwd+9edu3aRf/+/Vm6dCkPP/wwcHWfZ5ErpQnqRa5iM2fOZNmyZfTq1eu830xt27aNhx56yKGsf//+hIWFkZeXB9jesC80QekXX3zBwIEDayRuEREREbk44eHhFBUVAbY5W7///nuOHz8OwBtvvEGzZs2YPXs248aNo6Kigp07d9KuXTsAysrK+Otf/0r37t359ttvufvuu+3JntGjR7vtmGqjSznP99xzD8eOHcPf358PP/yQyMhIfvzxR8D2pMbTibTly5czYMAA9xyQiIdTskvkKnb6aTLnatWqFV988QUA7dq1IyUlpVKdn376iblz53LzzTezYsUK+xwO55ORkUFKSgqzZ88mPT2dGTNmMGbMGLKzs+nZs2eNHI+IiIjI1chsNmM2m8+7fuDAgSxbtozk5GT7hOhnGzduHGCbTP100gXAz8+P0tJSh7rl5eUcPXrUYVTA1aKmzvOXX3553n18+OGH9t/Xrl3L/ffff9nxilzNNIxRRCpJSEggIyOj2jrXXHMNpaWl9O7dm4SEBBo1asThw4d5/fXX7XWSk5PZuHEjycnJDBo0iKVLl/Ltt9+SmJjImDFjANtknh06dHDq8YiIiIhcze655x7707CvlI+PDzNnzqyRfXmbmjzPAB988AFGoz6yi1wO9ewSuUpV982U0WikU6dOZGZmVjtPwNSpUx2WGzdubP/GCmDZsmVVbne6fPv27XTu3Pm8j70WERERERERuVRKdolIlaoa3ljT4uPjiY+Pd3o7IiIiIiIicvVQn0gREREREREREfEaSnaJiIiIiIiIiIjXULJLRERERERERES8hubsklqn4BRk5bmn7bhQCPZ1T9siIiIiIiIicuWU7JJaJysPxqx2T9szekJihHvaFhEREREREZErp2GMIiIiIiIiIiLiNZTsEhERERERERERr6Fkl4iIiIiIiIiIeA3N2SVeIeN5M4U7UjH4+GIw+RDQrC1NR0wiNOF6d4cmIiIiIiIiIi6knl3iNZqOmETSvAI6zTpCnTbd2TX5FioKT7o7LBERERERERFxISW7xOsYff2pf8NoLCUFlBzKcnc4IiIiIiIiIuJCSnaJ17GUFnN86QyMQaEENG3l7nBERERERERExIU8JtlVVlbGhAkTiIyMJDAwkH79+pGWlobBYGDBggXuDk9qgYNzJpA+PIwtf4qmaM8m4sZ/jSko1N1hiYiIiIiIiIgLecQE9VarlaFDh5KWlsaLL75IXFwcc+bMYfDgwQAkJSW5LJZebz1MzOBeWE6V28tS/vQGB5anuywGqVrT4a/QePBT7g7DraxWWHsM5u89U/baZrgtGuKU9xMPtCcfPtsLq45AuQXa1LVdzz0agsHg7uhELk1uKfz3F/h2P+SWQeMgGNQCBjSDAI+4IxMRV7NYbe+Bn+89U/bGzzA0GloEuysq77ThBHy258zyy+lwezS0DXNTQCJyRTzi1mr69OksWrSI9PR02rdvD4DZbCYmJobw8HBatGjh0nh2/mcZa5+f6dI2RS7EYoVXN8OX2WA8KwnwxV7bDdL4RNuHKhFPsWgfvJgOWMHyW9nxElh5BP7QHF5IApMSXuIhsvLgwTXwa9mZshOl8POvMHc3vNcDwv3dF5+I1D7lFhi/AZYddByO88luW1JmUme4vqnbwvMaViu8vQ1m73I8z1//Al/9Ak+0h+Et3RaeiFwmjxjGOGXKFEaMGGFPdAGYTCZiYmLsvbqio6Np27YtiYmJJCYmsnjxYneFK+IWc3fbEl1gS3ydZgGswMR02JLjhsBELsOOk/DiRtu1bDmr/PTv/9sPs/X8CfEQZRXw6I9wssyx/PRL9d58+Os6l4clIrXcv3faEl3g+F5oBSqs8Nx6Ww9ouTIL99kSXVD1Pcc/tsKPR10dlYhcqVqf7MrMzGTPnj0MGTKk0rp9+/Y5DGGcP38+6enppKenc+ONNzotpthbe3Pntg+4ZcVbdPrLrRhMtf40ipersMJ/dlVfxwB8sqf6OiK1xbzdF67z8S7bt94itd13h+BYieOHqLNZgPUnYOdJV0YlIrVZSUX174VWbD2SPtW93RWxWm1fnlXXUdyI7Z5DRDxLrR/GeODAAQAaNmzoUL5jxw6ys7NrZL6ukJAQysrKKpW39KnH06G9HMq2zVzEuldmU5KTT0SnWPq8OxaTvx8b//bJFcfh7fr2NbOr/NcL1gtq052WE1Muad9tJl1a/fPp29dMUUZqjezLlQKiO9Hq9Z+qrWMBvtldxN971HNNUFeJDp+WAODvH+DmSLxLuw8OYwqu/lr9tQzqd+pNcWaai6LyfrqenSNy7GzqXnsrBtP5b7usVgv9HniJY1+85sLIRKS2qtPBTOz/VT9SxQLM2XCQF66JcU1QXsi3QRRt391ZbR0LsOaohYA6oVjLT7kmMJEa4un3dhbL5X+zXeu7JEVERACQlXVmvIrVauWZZ57BYrE4JLvuuusuOnXqxEMPPURubq5T4snZsoeSE3lgtXJi0y42/n0eMYN6OqUtkYtl9Au8qHoGX00II57B4Hdxb8gXe+2LuJPRL/DCT1SwWDH663oWEZuLvrfT++AVuejzbDBi8NF9tIgnqfU9u+Lj44mLi+O5557D19eX4OBgpk2bxsaNGwkKCqJNmzYArFy5ksjISEpLSxk7diyPPPII//nPfy6qjfz8qge7H0nbwTeDxle/scVafb9XsVu+PIVGXdtesF76CRiz2gUBVWH58hQSI9zT9pXIKYX+Sxzn6jqXAYgONbG+tNRlcV0Nunxl+7dU57VGDU+BzLwzcxpVxQBsX72ERrrPrzG6np3j7W22YTLVXs8mE++98iw3ffisy+ISkdprXwEM/r76Okagc2Q90vWafdmKyiH5Wyi7QOeRCH8oyj2hJ0GLx/H0e7vVq1fTq1evC1esQq3v2eXj48P8+fNp0qQJI0eOZOzYsQwYMIA+ffrQqVMnjEbbIURGRgLg7+/PQw89xOrVzsmWRA/sgW9IEAD14qNIeHIoe7/2vGFv4l3C/aFv4+r/Q1uB26JdFJDIFbotuvrEgBHo1QglusQjDG5x4cRtsA/001PVROQ3kcHQJaL6ezsLcJtGMF6RIB/4Q2T159kADI2+cAddEaldan3PLoCEhARSUx0TSu+88w59+vQBoLCwkPLycurWrYvVauWTTz4hMTHRKbG0vfdGuk+5H6OvieIjueya/wOb//mlU9oSuRSPtoOfjkNBeeUeXgagXRjc0sIdkYlcuj9G2p64uDmncpLAaIAgE/ylnVtCE7lkkcEwqhV8kFl5nQHbNf5sJwgwuToyEanNnuwA962C0oqqH3DRtT7coCT5FftTa1h1BE5U8SARIxAdDHfEuiMyEbkSHpHsOldxcTEZGRmMHTsWgCNHjjBkyBAqKiqoqKigXbt2vPvuu05p+9tb/88p+xW5Us3rwAe94bXNtqTXaT4GGNAcnuoIAR75P16uRn4meOda2+O+v94Hp866+0wMtyUGokPcF5/IpXqoLdTzsyW8fj3rmTjNguCxdurVJSKVtaoLM3vBlC2wKedMuZ8RBrWAv7QHn1o/Tqf2axgIH/SCVzfDmqNnvmQzGmzJxKc7QrCvW0MUkcvgkR99N2/eTEVFhX1y+tjYWDZu3OjmqMTZfpn+KMV70gn93QCaDH3OXl5yKIt9/3oEy6lSGg18nLBuA9n/wTgKdqzB6BdA7LhP8QmNIHvag5Ts30FQbBKRo//hxiNxnqhgmNYDfimAnXm2RFdiOIRpPk3xQIE+8HwCPBIP139rK5vfz/YNq4inMRhgeEu4PQau/dpWNqMnJIRraIyInF/r3xJeu/NtP75G6Byh5EtNaxwE/+9aOFgE23NtvW47hUN9z3yAnYjgocmubt26YbVWN/uFeJvCzHUYjD60eXUlu167jVO5R/ANawTAoU9eIuapT/AJDgOgovAkRXs30XbKanJ+mEPOyrnUibsGo68/bSYtZ/8HT1G0eyNBsUnVtOjZWgTbfkS8QV2/M78r0SWe7uxeGJ74QBQRcY/YENuPOFfTINuPiHg+dXwVj1C4cy0hnfoBENKhD0VZ6wGwnCqj7Pg+9r51D1mTBnEq9whG/yBMQXWxWixUFJ3EJzic0iN7CIzqCEBgVEcKduihAiIiIiIiIiLeSMku8QgVhbmYgkIBMAaGUFGYC0B53nGKs38meuwsGt08lsPzX8Xg44tfRHO2PtyWo1//k7BrBxPQvA35P/8AQP7WFVQUnXTXoYiIiIiIiIiIEynZJR7BVCeMiqI8ACzF+ZjqhP1WXpfAqI74BNcjuH1vSg5kULxvO6dyDtD+3QyajpjEka/eJCg2Cf+G0ewcb+sd5lu3obsORUREREREREScSMku8Qh1Wnclf8tywNYzKyiuMwCmgDoY/QKwnCqlOPtn/BpGg9WCKbgeBoMBn5Bwey+wpne9TOuJ32MKCCY08fduOhIRERERERERcSaPnKBerj51Wl3Die8+JOOvvQlNupFTOYfI27iEiL5302jQk+yccD0Go4nov3yIf6MYsFrJ+Ot1gJXov8zCWn6Knf93AwajiXo9b8evQaS7D0lEREREREREnEDJLvEYLR6Y6rAcFJsIQGhiMqGJyQ7roh6eXmn7NpNSnBWaiIiIiIiIiNQSGsYoIiIiIiIiIiJeQ8kuERERERERERHxGkp2iYiIiIiIiIiI19CcXVLrxIXCjJ7ua1tEPE9KSgqjRo0iKiqKqKgoZs2a5bB+9uzZNGnShOTkZCZPnsw333xDYmIi//znPx3qjRw5kl27duHv789HH31Es2bNeP/995kxYwYNGzZk9uzZhISEcMcdd7B48WIWLlxIr169KC8v54EHHmDGjBmuPGwRERERkct2sffQkZGR3HfffRiNRrp06cKbb77pUO+OO+7g8OHD5OfnExkZyX//+1/69u2L1WoF4N1336V169YuvV9WsktqnWBfSIxwdxQi4mlGjx7N+PHjeeyxx0hNTaV79+72dQsXLmTevHkcOXKEDRs2sHLlSh5//HHWrVtHly5d7PVeeukloqOj+e6775g6dSovv/wys2bNYtWqVSxatIgZM2bw+OOP89Zbb/Hee+/Zt/Px8aFBgwbs2rWLli1buvS4RUREREQu18XcQ+fk5LB48WKCg4O5++672blzJ61bt7bX++STTwD417/+hcFgAMBkMrFs2TKHtlx5v6xhjCIiTpSSkkJMTAxms5mRI0dWWj9p0iQyMzOr3cejjz5K7969mTx5skN5cXExN910E3369GHUqFEArFq1imuvvZYePXrwxhtvAJCWlkbPnj3p0aMH48ePB2D79u1MmTKlJg6x1unQoQMHDhywL+fk5BAQEIDBYGDdunX06dMHgH79+pGWluawbXR0NGB7czYYDBw/fpwWLVpgNBrp2LEjqampADRu3LhSu2azmW+++cZJRyUiIiIi4jzV3UNHREQQHBwMnLlPrsrChQu5+eabAbBarZjNZsaMGUNJSQng2vtlJbtERJxs9OjRpKSkULduXXuyBMBisbB582ZatWp13m3XrVuHj48PK1euZMOGDRw5csS+bsmSJfTq1YsffvgBX19ffv75Z2JjY1mxYgVr1qzh66+/pqioiKSkJFavXs2aNWtITU0lLy+P+Ph4NmzYYO9a7E1SU1OJi4uzL2dlZREVFQVAbm4uoaG28cohISHk5uZW2t5isTB58mRGjx5NgwYNyMrKoqSkhBUrVnDy5MnzthsVFcXOnTtr9mBERERERFygunvo07Zu3crx48er/PxSUFBAfn4+TZo0AWD+/PmkpKQQHx/PzJkzAdfeLyvZJSLiIud+W7Jp0yaH7r9VWbt2Lf369QOgT58+rF+/3r4uJiaGwsJCwPbmUrduXZo2bYqfnx9g+9bFaDTi6+sLQEVFBU2bNiUoKAiA2NhYtm7dWnMH6GYzZ87EbDbTrFkzEhMTq6wTFhZGXl4eAPn5+YSFhVWqM2HCBO644w5iY2MxmUyMGzeO/v37s2nTJho1auTEIxARERERca2LuYcGyMvL45FHHmH69OlVrl+8eDH9+/e3L9erVw+AgQMHuuUzh5JdIiIucu63JZmZmfZhc+dTXU+kuLg4Vq5cSXx8PAaDgcjISPu6pUuX0rJlSwICAgCYM2cO8fHxhIWF4eNjm67R23oine5BN3HiRIfyuLg4srOzAejcuTMrVqwAYPny5XTt2tWh7ueff05OTg733XefvezWW28lJSWFbt26MWDAgPO2n52dXW0vPRERERGR2uZi7qGtViv33XcfL7/8Mk2bNq1yPwsWLGDQoEH25fz8fMD2GSgmJgZw7f2ykl0iIk52Md+WbNu2DbPZ7PDz2muvVdsTadasWQwbNozt27dTv3591qxZA8D+/ft59dVX7XN2AQwfPpwdO3Zw8OBBtmzZ4rRjrY3Cw8MpKioCbHNtderUid69e1NaWkqXLl04fPgwr7/+OgBPPPEEmzZtwmw2M2nSJAAeeughrr/+elasWMHtt98OwJNPPslHH33E448/zscffwzY5merLhkmIiIiIuIpzr6HTklJ4fvvv2fChAmYzWbWr1/vcA9dUVHBzp07adeunX375ORkevfuzWeffcb9999v34+r7pf1NEYRESc7/YSTc7Vq1YovvvgCgHbt2pGSklKpzk8//cTcuXO5+eabHZItYJtbKjw8HLC9GeXm5lJaWsq9997LtGnT7JNIlpaW4u/vj9FoJCQkxN7bKzs7m549e9b04brF6QTh+QwcOJBly5aRnJzMhAkTmDBhgn1d48aNGTduHID926uzvfvuu5XK3njjDYdkYnl5OUePHnXouSciIiIiUptdyj10Tk5OpfWn76FNJhM//vijw7q1a9c6LLv6flk9u0RE3CQhIYGMjIxq61xzzTWUlpbSu3dvEhISaNSokf1blOHDh/PBBx9gNptJT0/nhhtuYM6cOWzbto0///nPmM1mDhw4wFdffYXZbOa6666jefPm9q7DWVlZdOjQwRWH6nb33HMPycnJTtu/j4+PfeJNERERERFvUJP30K6+X1bPLhERJ6ru2xKj0UinTp3IzMysduz61KlTHZbP7om0ZMkSh3WjRo1i1KhRDmVDhw5l6NChDmXbt2+nc+fO531ssIiIiIiIiKdSsktExI2qGt7oCvHx8cTHx7ulbREREREREWfSMEYREREREREREfEaSnaJiIiIiIiIiIjXULJLRERERERERES8hubsklqn4BRk5bmn7bhQCPZ1T9siIiIiIiIicuWU7JJaJysPxqx2T9szekJihHvaFhEREREREZErp2GMIiIiIiIiIiLiNZTsEhERERERERERr6Fkl4iIiIiIiIiIeA0lu0RERERERERExGtognrxChnPmynckYrBxxeDyYeAZm1pOmISoQnXuzs0EREREREREXEh9ewSr9F0xCSS5hXQadYR6rTpzq7Jt1BReNLdYYmIiIiIiIiICynZJV7H6OtP/RtGYykpoORQlrvDEREREREREREX8phkV1lZGRMmTCAyMpLAwED69etHWloaBoOBBQsWuDs8qUUspcUcXzoDY1AoAU1buTscEREREREREXEhj5izy2q1MnToUNLS0njxxReJi4tjzpw5DB48GICkpCSXx9T8+t+R9MwdhLZsSnlBMT+/t5Ct075yeRxyxsE5Ezj82UQMPv4ERLYjbvzXmIJC3R2WeKm9BfD53jPLf9sCt0VDbIi7IvJOR4rhy+wzyy9uhCFR0KEeGAzui0tEaq9TFvj+ECz8BY6VQJgf3BQJNzaFAI+48xUREbkyx0tgwS9nlp9fD0OiISn86rmH9oi3/OnTp7No0SLS09Np3749AGazmZiYGMLDw2nRooVL42naJ4Hur/+ZVY+9w+HUrfgE+lOnWX2XxiCVNR3+Co0HP+XuMOQq8NkeW3LrbPP3wKd74In2MLyle+LyNj8chmfXQbnlTNmiffD1Prgz1naur5Y3axG5OLml8HAqZOTZhi9YsP27/gR8sBPe6wGNg9wcpIiIiBOlHYMn0qCk4kzZ0oOw+ADcHAnjE8F0FdxDe8QwxilTpjBixAh7ogvAZDIRExNj79VVUlLCgw8+SKtWrejYsSP333+/0+JJevoONr/1OYdWbcFaYeFUQTG5Gfuc1p6I1B4/HoUpW8CK7ee00/mYf2yFFYfdEJiX2ZUHz/xkS3RVdZ7n7oZ5e9wRmYjUZs+sg8w82++nXy9O/3uwCB77ESzWqrYUERHxfIeK4PG1UFrhWH76vW/hPnh/p+vjcodan+zKzMxkz549DBkypNK6ffv22ZNdTz/9NAEBAezcuZMtW7bwyiuvOCUen0B/6ie2JLBBGINX/j+GbZ5Bvw+fITiyoVPaE5Ha5aOs6l84jb/VkSszb4/tTbm6z6SzsqBCH1pF5Dfbc209uCznWW8BdhdA6lEXBiUiIuJC8/dCmaX6e+g5uysnw7xRrR/GeODAAQAaNnRMJu3YsYPs7GySkpIoKCjgo48+Yv/+/Rh+G9PSqFGji24jJCSEsrKySuUtferxdGgvhzK/sDoYjEai/tCNpXdOpPjESbq+PIq+M8ex8PfjLvXwrip9+5rZVf7rBesFtelOy4kpzg6nSn37minKSHVL21L7GQOCaT/7RLV1LEB6DgTVb0pFfvV15fzi3z+ET0h4tXWOlUBE+x4U71rvoqi8X4dPSwDw9w9wcyTeTefZORrd8SINBj+NwWg6bx1rRTl3T5rFgX895MLIREREXKP1O9vxbxRbbZ38U9D02pso2Pydi6K6fBbL+b7CurBa37MrIiICgKysM10lrFYrzzzzDBaLhaSkJHbt2kVERAQvvfQSXbp0wWw2s2rVKqfEc6rAdoO6bcYiCvYfo6K4jA2vziGiY4zm7XKjNpNSNF+XOJ0xoM7F1/W/+LpSmdH/4ibVMQYEOzkSEfEUxoBgsF74plivGyIi4q1MF/kedymfazxVre/ZFR8fT1xcHM899xy+vr4EBwczbdo0Nm7cSFBQEG3atCE9PZ3du3eTlJTE66+/ztq1a7n55pvJysoiNPTCT+PLz8+vsvxI2g6+GTTeoexUfhEF+46CVWNnLtXy5Sk06tr2gvXST8CY1S4IqArLl6eQGOGetqX2K7fA9d9CYXn19QJMcPyXTALO37lALmDo97YnXl7olXbrqiU00WTTNabLbw8VLi0tdW8gXk7n2Tnm7YHXt1Rfx2jy4YlRw3job8NcE5SIiIgLjV4JW349/5D+09Z8/Rmt6rokpCuyevVqevXqdeGKVaj1Pbt8fHyYP38+TZo0YeTIkYwdO5YBAwbQp08fOnXqhNFopEWLFvj4+HDnnXcC0K1bN+rXr8/Onc6ZeS3joyXEj/kDQU0jMPn7kvT0HRzftIvCA8ed0p6I1A4+RhjYAqp7eIkR+GMkSnRdoSHR1Se6jMC1DVCiS0TsBjQDv4u4sx3k2od4i4iIuMyt0dUnuoxAuzA8ItF1pWp9sgsgISGB1NRUioqKyMjI4MEHH2Tjxo32yenr169P3759Wbp0KQA7d+7k6NGjxMXFOSWeLVMXcOD7jQxc8jeGbphOUKNwlo9+3SltiUjtMjIO6gdU/eJpBML8YVQrV0flfQa1gNahVScWjYCfCR5t5+qoRKQ2C/WDh+Orr3N3HDTz/pEbIiJylfp9M0gMr/oe2gAYDfBEe1dH5R4ekew6V3FxMRkZGfZkF8B7773H5MmT6dixI3fccQezZ88mLCzMOQFYrayf9B8+6TCaT9qP4vtRU9SrS+QqUT8A3u8Fv6tiuGtCuG1do0DXx+VtAn3gvR7Qt0nlN+vYEPhXD2hzFXwjJSKX5q6W8GxHCPV1LA8ywUNt4dELJMNEREQ8ma8R3r4WBjS3JbbO1iIY3u3BVTNtT62fs6sqmzdvpqKiwiHZFRsbS0pKivuCEpco2LaK/R88BQYj9XoModEtT9rXZTzfl9MDn1r8+V0CW7Tj0LxXyEtfil+jGKIfnYnB5JGXvNQyTYLgvZ6wJx825djKOtaDlheeIlAuQagf/O0aOFwMPx2DUxZoXRfah4GhurGkInJVuy3GNuR8zVF46idb2ZIbIUC3ACIichUI8oGXfwePtYMfj0KpBVqG2L6Yv5ruoT3ybb9bt25YNUH8VcmvUSytJ6/A6OtHxvN9aTDgQftT2wxGE61fWWaveyrnEEW7N9Lm1RUc/d875KYtpF73we4KXbxQTIjtR5yrcSDcrDl2ROQS+JnA3OTMshJdIiJytakfAH+8iu+hPXIYo1y9/CKaYvT1A2zJLQxnX8JWMp43s/efY7CUlVB6LJuAFrYByYFRHSnMSHVDxCIiIiIiIiLiSkp2iUfKS1+Kf5OWGP0C7GWxz8ynzaQUAiPjOb50Jv6NYinM+BGrxULB1hVUFJ10Y8QiIiIiIiIi4gpKdonHKTu+n8PzX6X5qDccyn2C6wFQt+tASvZtxTesIWHXDmbnhH6cyj2CT92G7ghXRERERERERFxIyS7xKJZTpez9f/fS4oFpmAKDHdZVFOUDULgjFb+GMQA0vOkh2kxKwa9BFHU73+TyeEVERERERETEtTRdp3iUnB/mULJvG9nT/gxAsxGTKD28m4i+d7PzhWSMvn6Y6oQR8/h/ANj16q1UFOUR3L43wW27uzN0EREREREREXEBJbvEo9RPHkX95FEOZcHxPQGI//vaSvVb/vULl8QlIiIiIiIiIrWDhjGKiIiIiIiIiIjXULJLRERERERERES8hpJdIiIiIiIiIiLiNTRnl9Q6caEwo6f72hYRERHvl5KSwqhRo4iKiiIqKopZs2Y5rJ89ezZNmjQhOTmZ3r17s3HjRnbs2EHz5s0d6hUVFfHAAw+wf/9+zGYzL7zwAiNHjmTXrl34+/vz0Ucf0axZM0aNGsX777+PwWBw5WGKiIhclZTsklon2BcSI9wdhYiIiHi70aNHM378eB577DFSU1Pp3v3Mk5sXLlzIvHnzAPjss8949tlnq9zHm2++yUMPPcS1115rL3vppZeIjo7mu+++Y+rUqUyePJlu3bqxfPly+vXr59yDEhEREQ1jFBERkYuTkpJCTEwMZrOZkSNHVlo/adIkMjMzq93Ho48+Su/evZk8eXKldWlpafTs2ZMePXowfvz4SssAxcXF3HTTTfTp04dRo2xP592+fTtTpkypgSOsPZx5rr/99lvMZjNms5mIiAjS09OrrF/V+ffGcw3QoUMHDhw4YF/OyckhICDA3gurcePG5932p59+4sMPP6Rv376kpqYCEB0dDYDJZLLvo2/fvixatMhJRyAiIiJnU7JLRERELtro0aNJSUmhbt269g/2ABaLhc2bN9OqVavzbrtu3Tp8fHxYuXIlGzZs4MiRIw7rk5KSWL16NWvWrCE1NZU2bdo4LOfl5bFkyRJ69erFDz/8gK+vLz///DPx8fFs2LABq9XqtON2B2ed6/79+5OSksLy5cuJjY0lISGhyvrn/j3y8vK89lynpqYSFxdnX87KyiIqKuqitt22bRvDhw9n/vz5PPfcc/Zyi8XC5MmTGT16NABRUVHs3LmzZgMXERGRKinZJSIiIpfs3J4wmzZtonXr1tVus3btWvsQrj59+rB+/XqH9b6+vgBUVFTQtGlT6tSp47AcFBRETEwMhYWFABQUFFC3bl0AYmNj2bp1a80cXC3jjHMNth5JXbp0wWAwVFn/3L9HUFAQ4F3neubMmZjNZpo1a0ZiYuJl7SM8PJzevXsTERGBj8+ZGUImTJjAHXfcQWxsbA1FKyIiIhdLyS4RERG5ZOf2hMnMzLQP3Tqf3NxcQkNtTwIJCQkhNze3Up05c+YQHx9PWFgYPj4+lZbj4uJYuXIl8fHxGAwGIiMjAe/uNeOsc71gwQIGDRpUbf1zzz9417k+3Xtu4sSJDuVxcXFkZ2df1D66du3K1q1bKSkpoby8HIDPP/+cnJwc7rvvPnu97OzsanvjiYiISM1RsktEREQu2sX0hNm2bZt9TqjTP6+99hphYWHk5eUBkJ+fT1hYWKVthw8fzo4dOzh48CBbtmyptDxr1iyGDRvG9u3bqV+/PmvWrHHi0bqXs8/12ZOln6/+uef/ahEeHk5RUZF9ecSIESxZsoQ777yT7777DoAnn3wSgKeffpqxY8diNpt56qmnAHjiiSfYtGkTZrOZSZMmAbbzPWDAABcfiYiIyNVJT2MUERGRi3b66XXnatWqFV988QUA7dq1IyUlpVKdn376iblz53LzzTezYsUKbr/9dof1paWl+Pv7YzQaCQkJwc/PD8C+HBAQgMViITw8HLAlJE73QMrOzqZnz541eKTu58xzvXv3bpo3b24/x127dq1U/9y/R0BAAOA95/p0cvB8Bg4cyLJly0hOTuY///lPpfVvvPEGAM2bN2fZsmUO66rqFbZ27Vruv//+KwtaRERELop6domIiMgVS0hIICMjo9o611xzDaWlpfTu3ZuEhAQaNWrE4cOHef311wH46quvMJvNXHfddTRv3pzNmzc7LLdq1Yrhw4fzwQcfYDabSU9P54YbbgBsE4p36NDB6cdZG9TEuT57COP56p/79zg9BO9qOdf33HMPycnJNba/Dz74AKNRt94iIiKuYLB62+N0atCRtB18M6jyN6pyeQYsmEijrm3dHYaIiJxHl69s/64beHnbT5w4kWHDhrl8XqLt27ezYMECnn32WZe2e7mu9DyDzvXFqolzLSIiIu6xevVqevXqxapVqy65V7mGMYqIiEiNqGrInSvEx8cTHx/vlrbdRedaRERE5PzUl1pERERERERERLyGkl0iIiIiIiIiIuI1lOwSERERERERERGvoTm7pNYpOAVZee5pOy4Ugn3d07aIiIiIiIiIXDklu6TWycqDMavd0/aMnpAY4Z62RUREREREROTKaRijiIiIiIiIiIh4DSW7RERERERERETEayjZJSIiIiIiIiIiXkPJLhERERERERER8RqaoF68QsbzZgp3pGLw8cVg8iGgWVuajphEaML17g5NRERERERERFxIPbvEazQdMYmkeQV0mnWEOm26s2vyLVQUnnR3WCIiIiIiIiLiQkp2idcx+vpT/4bRWEoKKDmU5e5wRERERERERMSFlOwSr2MpLeb40hkYg0IJaNrK3eGIiIiIiIiIiAt5TLKrrKyMCRMmEBkZSWBgIP369SMtLQ2DwcCCBQtcFsddWbMdfu755RMGfveGy9qX8zs4ZwLpw8PY8qdoivZsIm7815iCQt0dlohIrVdSDv/NPrM8aRNs/dV98XircgssO3hmecIGSDsGVqv7YvJGFiukHoXn158pW37Idv5FRETk6uARE9RbrVaGDh1KWloaL774InFxccyZM4fBgwcDkJSU5LJYPo6722F54HdvsGfBape1L+fXdPgrNB78lLvDEBHxKFl58HAqnCg9U7YgG77MhoGR8HwimAxuC89rHC22nec9BWfKFh+Ab/bDtQ3g9Wsg0CPuymq3glPw+FrYmAPGs67bcT9Bq1B451qICHBffCIiIuIaHnFbNX36dBYtWkR6ejrt27cHwGw2ExMTQ3h4OC1atHBLXPUT4whr3Zysecvd0r6IiMiVyD8FD62B3DLH8tMdYL7aZ0sMPBzv8tC8SoUVHvkRsgscyy2/9ehaewxeTodXu7g8NK8zfgOk59h+t5zTY25XHjyeBrN6g0EJXBEREa/mEcmuKVOmMGLECHuiC8BkMhETE4Ovry979+7llltusa/Lzc0lLy+PnJwcp8bVang/Dny/keIjGushIiKe5+t9kFNWfZ25u+HeVlDHI+4YaqfVR2B3/vnXW7ENb3y4EJrXcVlYXicrD1YdOf96C7AtF9Ydh2sauCoqERERcYdaf+uamZnJnj17ePvttyut27dvH0OGDCE6Opr09HR7+dixYykvL7/oNkJCQigrq3y339KnHk+H9qpyG59Af2IG9WTlY+9cdDtXu759zewqv3BiMKhNd1pOTHF2OFXq29dMUUaqW9oWEXG12Ek/EBTXFYPx/FN4llRA9PV3kPfjly6MzLs0f/R9wnoOw2A6/22XxWql273Pc/wrzQN6uRrePoGGQ56r9nq2VpRz+0sfcPDfj7gwMhEREbkcFsvlT7hZ65NdBw4cAKBhw4YO5Tt27CA7O7vSfF1lZWV8/PHH/P/27jw+qvLu//9rsrAZFgOCCAECQYwgEBdAFjMitS51q1I3Km5ft6qlt+vPSm9qXUqtd729tVRurQuKvSu1Ra2VRYmooFEBWYQQkF0BBZEtBJKZ3x9TgjEsAZKZzOH1fDzmYeY6Z2Y+Mx7OnHmf67rOhAkTarWuDuecTFnJdlZO/mTfK6vWdXmgINElSFLSST3s8L0GAxXrNWoah2qCK7VR032Pm4uUk3qYF1U5GKmNmkK0nL1ffynqxWskSToE1Pmwq3nz5gAsWrSIXr16AbEJ6++66y4ikUiVsOvVV1+lTZs2HH/88dV+jU2bdj+2YE3hAv513r27Xdb58tNY/NcCouVe2qe6pkwpoFWvY/a53qx1cG2C5vyfMqWAns0T89qSFG+3fgAfrN01R9eejH/+SXof8WRcagqi382BcUv2/jmHUtN4dMTd/PjZu+NWV9C8uBj+MG/v66SkpvPzKy/mlt9dHJ+iJEnSAdu4cSNz5szhuOOO2+/H7vt0boLl5uaSk5PDPffcw8svv8y//vUvzjvvPGbMmEGjRo3o0qVLpfX//Oc/c/XVV9dqTU06HUXLE7uw8KW3avV1JEmqTee320cAA7RqACe2iFdFwXTePj5ngHopcHqbuJQTWGe2hbR9dKCLAuck5rpGkiRpPzVp0oR+/frRpMn+98qu82FXWloa48aNo3Xr1gwdOpRhw4Zx5plnkp+fT/fu3Un5zvCLVatW8c4773D55ZfXak2dLx3Img/ns2nJ6lp9HUmSatMpR0JeZizU+r4QsWDgF90g1SvXHZQuTeHstntf54ZjICM9PvUEVWZ9uProva9zYXvokBGfeiRJUuLU+WGMAD169GD69MqThj/++OPk5+dXanvuuec4++yzK4Y+1pZP7n+hVp9fkqR4SEuBR/vAb2bBW1/Ewq2dmqTDHcfBoKMSVV2wDO8ZC7P+thTKvvNBN0yF64+ByzsmqrJg+X9Hx3p3/bk4dnGFndJCcGlHuPnYxNUmSZLiJynCru8rKSmhqKiIYcOGVWp/9tlnd3vVRgVL2ab1FP/nD9i2qoi8/9tcadnS/76SbauKCKXXp/XFv6JJ94Esuv8cyrduJJSaRsc7/o+0Jo7HkaSdDkuD354IX2yFqatjAUHWYbFeX+l1vv938khLiYWH1xwNU76EjTugZQM4tTU0SsqjsbopFIr17vpJduxz/roUmtWLfc7N6iW6OkmSFC9JeXg1e/ZsysvLq0xOv3DhwgRVpHhKbdiYzr+exOe/+8lul3e882Xqtdg1XqTT3a8QSktn3ZQxrH9nLC3PuTVepUpS0jiqEVxi76Jal1kfLuyQ6CqCLyPdubkkSTqUJWXY1bt3b6LR6L5XVCCF0tJJa5y5p6V8/vDF1GvehnY3/om0xpmE0mKToER2bKNBVm78CpUkSZIkSXHnAAUFSttr/otjRr7P4f0vZvW4h4DYsMcFd/Zl7euP0aCtYZckSZIkSUFm2KVAScs4HIBmvc6lZMW8WFvjTI753TTaXH4/a179QyLLkyRJkiRJtcywS4FSvnUTAJuLplO/ZTbRSIRoeRkAqY2akpLeIJHlSZIkSZKkWpaUc3ZJC4cPYuuSmSwcPoijLh3B5gXTOfLHd7D00SvYsfErUtLr0+HWZ4ls28Ki+38EoZRY28+fTXTpkiRJkiSpFhl2KSkd/ZvJle5nHNsfgE73/L3Kul0efCcuNUmSJEmSpMRzGKMkSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAIRaPRaKKLqKu2b9rKN/OXJ7qMwDg8tx31Gjfa53qbd8CijXEoaDdymkBGemJeW5IkSZIkHTzDLkmSJEmSJAWGwxglSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBhpiS5AkiRJkiQdurZv2so385cnuozAODy3HfUaN0p0GQll2CVJkiRJkhLmm/nL+dd59ya6jMA4c/z9tOp1TKLLSCiHMUqSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgJE3YtX37doYPH05WVhYNGzZk4MCBFBYWEgqFGD9+fKLLU0B9ux3GLobfzIKRs+G9NVAeTXRVkqRoFD5dD4/MhftmwVNFsLok0VVJkqSaFEpNoddvruLSz57hsgXP0feRG0mtn57ospQE0hJdQHVEo1EGDx5MYWEhI0aMICcnh7Fjx3LBBRcAkJeXl+AKFUSvLIWH58KOCKSGIAq8vBSyDoM/9IYOGQkuUJIOURtK4faPYNb62Fm7UAgiUXiyCH6aAzfnQkoo0VVKkqSD1f3WH3Nk326MH3gb5TvKOO3Zuzjh3p9SOPzPiS5NdVxS9OwaPXo0b7zxBpMnT+b666/ntNNOY/To0aSmppKZmUm7du0SXaICZtIqeHB2LOiCWG+uyL97dK3aCje8H/uxJUmKr7II3PwBzF4fux8hto+OErs9vwieWpjAAiVJUo3pfPlpzHnsFbauXk/puo3MeuSv5FwcJpSSFFGGEigptpCRI0cyZMgQunbtWtGWmppKdnZ2Ra+uhQsXcvLJJ3P00Udz8sknU1xcnKhyleSiUfjjAthTp4BIFL4uhb8vj2tZkiRiw8kXfBsLufbkuWLYvCNuJUmSpFpQr0kjMtocwfp5Syra1s1ZQr3GjcjIOiKBlSkZ1PlhjMXFxSxZsoTHHnusyrIVK1Zw4YUXAnDDDTfws5/9jCFDhvDCCy9w/fXX8/bbb+/z+Tdu3MiRRx5JWVkZoZBjHgQNO51Azm+n7XWdaDTCf721mBu6dYtTVZIkgHa3/YUmJ51DKHXPhzClEeh09jVseOeFOFYmSZIOVKe0w7mzSf9KbWkZDQHY/u3Wirbt324BIP3fy7R7p54aZnHZN4kuo0bUq1ePTZs27ffj6nzPrlWrVgHQsmXLSu0LFixg2bJl5OXlsXbtWmbMmMGll14KwKWXXsqMGTP46quv9vn8c+bMoaSkhGjUWccVk9a05T7XCYVSqrWeJKlmpTVrtdegq2I999GSJCW1ss2xK8+kN2lU0Vav6WEA7NjsVWm0d3W+Z1fz5s0BWLRoEb169QJiE9bfddddRCIR8vLyWLFiBW3atCE1NRWIDXE86qijWLFiBUccUb3ujQUFBfTr16923oSSyrxvYOi7+14vu2VTZpY6cZckxdMdH8E7X+59GCPAk//1ED96+aG41CRJkg7OmsIF/Ou8eyu1bd+4lc2rviKzawc2Lv4CgObdstm+aSubV+y7Y8uhbMqUAlr1OibRZSRUnQ+7cnNzycnJ4Z577iE9PZ2MjAxGjRrFzJkzadSoEV26dGHmzJmJLlMBcmwzaHcYrNgSm+x4T871ugiSFHdnt4UpX+59nQapED4yPvVIkqTaU/ziW3S/5QLWfDifSFk5PW/7CYv+r4BoZF+nvXSoq/NhV1paGuPGjeOGG25g6NChZGVlMWzYMJo0acLixYtJSUkhKyuLVatWUV5eTmpqKuXl5XzxxRdkZWUlunwloVAIbsqFuz/e/fIUoHkDOL99XMuSJAH9W8VOSizYsOfeXVfmQEZ6HIuSJEm1YvZjr1A/swnnF/yBUEqIpa9/wCcPOCen9q3Oh10APXr0YPr06ZXaHn/8cfLz84HYfF49e/bkpZdeYsiQIbz00kvk5eVVewij9H2DjoJ7e8Dv5sD27/2aansYPNobmtVLTG2SdChLS4HH+sAdhTBz/a720L9vV+TANUcnqjpJklSTouURCof/mcLhf050KUoySRF2fV9JSQlFRUUMGzasou1Pf/oTQ4cO5b777uPwww/n+eefT1yBCoTz28PA1vDGSvj93FjbY32gzxGQ4oU7JSlhmtWD0f1g3ga48t9zLN54DPwoC1p6cSZJkqRDXlKGXbNnz6a8vJy8vLyKtmOOOYYPP/wwgVUpiJrUg0s67gq7+npxL0mqE0Ih6Hb4rvtX25tLkiRJ/5aUYVfv3r2JRvc2dbgkSZIkSZIORSmJLkCSJEmSJEmqKYZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMJIm7Nq+fTvDhw8nKyuLhg0bMnDgQAoLCwmFQowfPz7R5UlSnReJwgdr4fHP4L/nwaRVsCOS6KokSQDflMJLn8Oj8+CphbBsc6IrkqTE63DOyZw5/jdcvmgMFxX+MdHlKImkJbqA6ohGowwePJjCwkJGjBhBTk4OY8eO5YILLgAgLy8vwRVKUt22eCPc8REs37LrLEcEOLwe3H8C9D4ikdVJ0qErGoXRRfBMMZRFITUUOznxpwVwWmsYkQcNk+KIXZJqXum3W1jw5zdpcERTul73o0SXoySSFF+do0eP5o033mDWrFl07doVgHA4THZ2NpmZmbRr1y7BFUpS3bW6BK57HzbtiN3/bmeub7fDzz+Ap/pDt8MTUp4kHdKeXgj/u3DX/fLorr/f/hK2lsFjfSAUin9tkpRoX06dDUC7M05KcCVKNkkxjHHkyJEMGTKkIugCSE1NJTs7u6JX1+233052djahUIi5c+cmqlRJqnNeWgwbd1QOuXaKEOtB8OSCeFclSdq0A/5cvOflUWD6VzBzfdxKkiQpEOp82FVcXMySJUu48MILqyxbsWJFRdh1/vnnM3XqVNq3bx/vEiWpzopGYfzy2A+mPYkAH3wFX2+LV1WSJIDJX8D2fcydmBKC15bHpx5JkoKizg9jXLVqFQAtW7as1L5gwQKWLVtWEXb179//oF4nHA6TklLnsz8lSLe/xlKA+vUbJLgSaf+E0urR7aVN+1wvCnTq0YttSz+t/aKkGuT+Wcms5UW/pOXgewnt5Ri0PBJl7GuTebCPc9VICq5OaYdzZ5OD+02vXU49Nczism8SXUaNqFevHps27fv3zPfV+XSnefPmACxatKiiLRqNctdddxGJRJycXpL2Ilq2nUjp1mqtW77ZcTKSFE/lm9fvNegCIFJO+eZ18SlIkqSAqPM9u3Jzc8nJyeGee+4hPT2djIwMRo0axcyZM2nUqBFdunSpkdcpKCigX79+NfJcCp4TX439t7S0NLGFSAfggU9h/LLdz9kFsbMe3Q6Hj1ct2sMaUt3l/lnJ7OttcNak2NyJexJKTePZ2y6h/+8uiV9hkhRnawoX8K/z7q3SHkpJISU9lVBaGoRCpNZPJxqNEtleloAqk8eUKQW06nVMostIqDofdqWlpTFu3DhuuOEGhg4dSlZWFsOGDaNJkyYsXrzYoYeStA+Xd4Q3VsCOyO4Dryjw/2rmvIEkaT+0aAAXdYC/Ltn98hSgc1M4ueXul0tS0HW66BT6//fNFfd/uvQlNq9Yy7heNyWwKiWDOh92AfTo0YPp06dXanv88cfJz89PUEWSlDw6NI5dtv62Qtj8vZNgaSG4t6c/pCQpUf6jK2zZAf9cGQu3vntS4phm8GhvSA0lqDhJSrBFfy1g0V8LEl2GklBSdosqKSmhqKio0nxdt956K23btmXlypUMGjSIrl27JrBCSapbTmgB/zod7u2xq+3WY+HN0+FHWYmrS5IOdWkp8Ovj4S9huKTjrvYnToZnB0Bm/YSVJklS0krKsGv27NmUl5dXCrsee+wxVq5cSVlZGatXr2bevHkJrFCS6p6GaXB++133r8iBZv6IkqQ6IacJ/Ee3Xfd7HwEp9uiSJOmAJMUwxu/r3bs30eheZvKUJEmSJEnSISkpe3ZJkiRJkiRJu2PYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAiNpwq7t27czfPhwsrKyaNiwIQMHDqSwsJBQKMT48eMTXZ6kgxCNwkdfwbPF8FwxzP0m1iYlq6Wb4YXF8OeFUPAllEUSXZEkSfFTHoX318AzxTBmERR9m+iKlIxS6qXR9/c3cOEHT3B58RgueO8xjrn6zESXpSSRlugCqiMajTJ48GAKCwsZMWIEOTk5jB07lgsuuACAvLy8BFco6UDN3wC//ASWb6nc3qUpPHQCtMtISFnSAdmwHX41A6atrdyeWQ9+2RPyj0xIWZIkxc2MdbHvwtUlldt7ZsIDJ0CrhompS8knJTWVkrUbmHjJb9i0bA2Zx7bnBy/dy7avNrD0temJLk91XFL07Bo9ejRvvPEGkydP5vrrr+e0005j9OjRpKamkpmZSbt27RJdoqQD8PkmuO59WLml6rLijXDte7C2pOoyqS7aVg43TYMP1lZd9s12uL2waggmSVKQzP0GfjZ998dvs9fHju2+3R7/upScykpKmfm7v7Bp6WqIRlk/bykrJn5My165iS5NSSApwq6RI0cyZMgQunbtWtGWmppKdnY2eXl5rFu3jrPOOosuXbpw3HHH8eMf/5ivvvoqgRVLqo7/LYLSctjdCK9INBYQvLg47mVJB+TNlbBw4+63552jch+d5xBdSVJw/XE+lEf2cGwHfFkC45bGuSgFRigtlVa9c/lm/rJEl6IkUOfDruLiYpYsWcKFF15YZdmKFSvIy8sjFApx5513UlRUxJw5c+jUqRN33313AqqVVF0bt8NbX+7+YGinKPCP5bHgS6rr/r4MQntZHiXWm3G+85ZIkgJo9VYo/Hrvx3YQ+76UDkSfB69hx+YSFr/8TqJLURKo83N2rVq1CoCWLVtWal+wYAHLli0jLy+PzMxMwuFwxbI+ffowatSo/XqdcDhMSkqdz/6UIN3+ug2A+vUbJLiS4Kjf5hiOfvTTfa63pQwOyzyCyNaNcajq0OD2XDty/3cFac1a7nO9/HMvZuOH/6j9gg4Rbs8KGrdpJatGXU6m0/0F+1zvyy3l1K/fqPYLUlLplHY4dzbpv8flJ40YyhEndGHC4BFEdpTFsbLkdOqpYRaXfZPoMmpEvXr12LRp034/rs6nO82bNwdg0aJFFW3RaJS77rqLSCRSZXL6SCTCqFGjOPfcc+Nap6T9U761et1bouVlREq31nI10sEr37qBaDXGKJZvsWuXJCl4qntsFynZ/x+tOrT1uu9KjjqlOxN+8mtK17v9qHrqfM+u3NxccnJyuOeee0hPTycjI4NRo0Yxc+ZMGjVqRJcuXSqtf8stt5CRkcHNN9+8X69TUFBAv379arJ0BciJr8b+W1pamthCAubqd2MTme6pu3sKcFpWGp9s3c0M9jpgbs+1Y3RR7LY3h9eDNR+9SXqdP9WUPNyeFTRu00pW0ShcNAWWb941V+X3pQAXdW3G3W7f+p41hQv413n3Vmnv9Zurad2/G29eNILSdY70qK4pUwpo1euYRJeRUHU+7EpLS2PcuHHccMMNDB06lKysLIYNG0aTJk1YvHhxpaGHt99+O8XFxbz22msOSZSSwNVHw7APd78sBIRCMKRTXEuSDtiP28NLn8OWHXsOcId2xqBLkhRIoRBcezQMn7GH5UBaClySHdeylMQOa9uCY689i/Jt27nowycq2td8uIDJlz+QwMqUDOp82AXQo0cPpk+fXqnt8ccfJz8/v+L+PffcwyeffMI///lP6tevH+8SJR2A/q3g/+sOI2fHzgB+9yxgWgo8cDx0PTxR1Un7p0UDeLwP3PoBfLtjV3sKsfBrSCe4vGOiqpMkqfad2RbWlMDj82Ph1neP7RqkwsMnQYfGiapOyWbLyq95tvVFiS5DSSopzy+XlJRQVFRUMV/XvHnzeOihh/jiiy/o27cvPXv25IILLkhwlZKq48IO8OqgWC+vnW7OhX/+AAYelbCypAPS9XB49QexEHenwdnwlzAM6xo76y1JUpBd2Rn+PrBy7/z/6Bo7tuuz7+u4SFKNSIqeXd83e/ZsysvLK8Kurl27VmtSYEl105GN4MZj4OmFsftXdk5sPdLBOCwtFuI+NDt2/47jElqOJElxl5UBP+8KYxbH7l/mtBSS4iwpw67evXsbbkmSJEmSJKmKpBzGKEmSJEmSJO2OYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQqMpAm7tm/fzvDhw8nKyqJhw4YMHDiQwsJCQqEQ48ePT3R5cVcehWlr4eUl8M8VsGF7oiuSJElBtK0MJn8RO+Z4+wsoLU90RdKBi0Sh8KvY9vz6cli3LdEVSQdn8UZ4ZWnstmhjoqupeX0eupbBH/+JyxY+z+AZT9LrvitJSU9LdFlKAkmxlUSjUQYPHkxhYSEjRowgJyeHsWPHcsEFFwCQl5eX4Arj6+0v4OG58NV3vpzTQvDjDvCLrpCeNBGmJEmqq6JReG4RPFMMW8p2tWekwXVd4NKOEAolrj5pf01bCw99Cl+W7GpLDcHZbeHO46BBUvwykmJWbYERM2Hm+srtPTNhRB60PSwxddW0+c+8ycf3jaGspJT6mY0Jj76N7rf+mFmP/DXRpamOS4pd+ujRo3njjTeYNWsWXbt2BSAcDpOdnU1mZibt2rVLcIXx89YXcPfHVdvLovDXJbC2BB4+yYNPSZJ0cEYtgD8XV23fXAb/NQ+2lcPVR8e/LulAfLAWhn0YC3G/qzwKr62IBWD/0wfSPGmsJPDVNrjmPVhfWnXZ7PVw1bswJh+ObBj/2mratwtX7roTChGNRGncsXXiClLSSIrd+ciRIxkyZEhF0AWQmppKdnZ2Ra+u888/nx49epCXl8eAAQOYNWtWgqqtPWUR+P2c2N/RPaxTsBo+/jpuJUmSpABaXRLr0bU3o4t2/0NLqmui0dioiGh098fQUeCjr2Hq6nhXJh2Y54pj+9/IbpZFgG+3w7P72Icnk+NuPp/LF43h0rl/JrNrez4b/XqiS1ISqPNhV3FxMUuWLOHCCy+ssmzFihUVYddzzz3Hp59+ysyZM7n99tu5+uqr411qrfvgK/iqdM9BF0BKCP6+LG4lSZKkAHpt+b7XKYvCGytqvxbpYM3+BpZt3scxNPCKx9BKAjsi8Ory3QddO0WA11fEeuAGwZzH/8GLOT/l76f8nKLnJ1Ky9ptEl6QkUOeHMa5atQqAli1bVmpfsGABy5Ytqwi7mjZtWrHs22+/JSVl/3K8cDi834+Jt+Zn3MRR1/xhr+tEovCPd2fwSL+T41TVoaHbX2MTpNWv3yDBlQSbn3N8+DnHh59zfPg51462P3uKZgMuIZSavsd1omU7GP6HP3PNU7fGsbLgc5uuec1OuYysW57Z6zoRYOrcJdQPHxOfog4Rbs81L63ZkeT+776T2W3l0KJdDju+To6zEp3SDufOJv33us63xatYP28ZA/7nViZcNCI+hSWpU08Ns7gsGKFgvXr12LRp034/rs6HXc2bNwdg0aJF9OrVC4hNWH/XXXcRiUQqTU5/7bXXMnHiRKLRKG+++WZC6q1N5dv2/T84GiknUrL/G4IkSdJOkW2bgX1MAJqS8u/1pLotUrLv7TQajVDuMbSSQKR0S/XX3Vb9dZNFSnoqTZyzS9VQ58Ou3NxccnJyuOeee0hPTycjI4NRo0Yxc+ZMGjVqRJcuXSrWfeqppwAYM2YMd9xxB2+88Ua1X6egoIB+/frVeP01aX0pnDUxNmxgT0Ipqdx3aT4/ucdJNGrSia/G/lta6udam/yc48PPOT78nOPDz7l2fPQV3Dh97+uEUlL55+9vo9vTt8WnqEOE23TN21IGP5yw9yFdoVAK/3FGd6651c+9Jrk9146bpsXmad7TUMaUEPQ4HD5e92Vc6zoYawoX8K/z7q3Ult64Ee3P7MXyNwvZvnErh+e2p8ewC/mi4NMEVZk8pkwpoFWvQ7unat0etwekpaUxbtw4WrduzdChQxk2bBhnnnkm+fn5dO/efbdDD3/6058yZcoU1q1bl4CKa09mfTh3LxeeTAnB4fXgrLbxq0mSJAXPiS2gS9M9HyimELu8fddmcSxKOkCHpcHF2XtenvLvdc4/dC7wriR3Rc4+5uyKwtDOcSun9kSjdLzwFC784AkuXzSGgc/cycq3ZvLhL59OdGVKAnW+ZxdAjx49mD698unFxx9/nPz8fAA2b97MN998Q1ZWFgCvvfYamZmZZGZmxr3W2nZbN1i7Dd5bEwu3It/p5dUkHR4/GTL2PL2GJEnSPoVC8GhvuHEaLP3OCLAUYj+wOjWB350UW09KBjceA1+WwMRVVY+hG6bBY32gudNKKUn0aQl3d4eRs2P3d27OO3fJt3WD/q0SUVnN2rG5hIkX35foMpSkkiLs+r6SkhKKiooYNmwYAFu2bGHw4MFs2bKF1NRUMjMzee211wgF8Aisfir8Vy8o/Cp2xZi3/90z9fZucHYWNDbokiRJNeCIBvBiPrz1BfxqZqyt9xHwo3YwsDWk1/nxAdIuaSnwwPHw4/axK5dPiF0Di58fC+e0g2b1EluftL8u6gAntYC/LYWxn8faLukIF7aHDo0TWZlUNyRl2DV79mzKy8srJqdv1aoVH3zwQYKrip+UUCzN79Ny1zj4SzomtiZJkhQ89VPhrKxdYdf/eLFnJbFQKDZE98QWu8Kun+YktibpYLTPgP/otivsuq1bYuuR6pKkDLt69+5NNLqXWdolSZIkSZJ0SLIDuiRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiQdUvo/+jN6P3BNosvYrcsXjSGzW3aiy0hqaYkuQJIkSZIk6UAd2bcrPW/7Cc27dwRg3ezPmfX7v7J6+rwEVxbT87af0LxHJ9664qFqrf9izk9ruaLgs2eXpKRRUFBAdnY24XCYoUOHVln+wAMPUFxcvM/nefTRRxk0aNBul91yyy0MGDCABx98EIAnn3yS0047jXA4zI4dO5g/fz4jR448uDciSQFzsPvn9957jz59+tC3b18eeeSRKssLCwvp168fffv25d577wXcP0uSYtoOOoEfjL2XFZM/4a/HX89fj7+eFZM/4Qcv3Uvb047f7WNCqTUXhYTSUmvsuVRzDLskJZVrrrmGgoICmjZtyvTp0yvaI5EIs2fPpnPnznt9/I4dO5g1a9Zul3388cekpaXx7rvvMmPGDJYtW8acOXN46623KCgoID09ndzcXGbMmEE0Gq3JtyVJSe9g9s8dO3Zk6tSpTJs2jddff52tW7dWWp6Xl8f777/PtGnTmD59OsuXL3f/LEkCoPf9V7Po5QLmjXqVHZu2smPTVuaNepXF496h1/1XA3BR4R/pPuxCznr1AYZ8/iItenQCIP2wBoRH38blxWM4/50/cFS4xz5f78iTu3L5ojEcPWQQF300inMn/x6A1qd050cTRnJZ0XOc+9YjtDvjJADanXESx916AW1O7cnli8Zw+aIxpNTb+yC7K78cR/MenQilpnDZwudp1iUr9tp9u3Lll+No/6OTAWjYshlXLP8L6RkND+zDCzDDLklJqVu3bqxatari/qeffsrRRx+9z8eNGTOGSy+9dLfLPvzwQwYOHAhAfn4+48ePZ8uWLQwcOJARI0ZUrNexY0fmzasbXaIlqa45kP3zUUcdRb169QBITU0lJaXyIWp6ejoA5eXlHHXUUUycONH9sySJJp2OonH7Viz5x/tVln3+9/do0uFImnRsDUDO4DDv3/ZHXsz5KevmLgEg+/z+fP73dxl7zFBm/8/fGfjnO2l0ZOY+XzetYX1a9MzhH6cM4/Uz76JxhyMZ9NzdzH38H7x07FV88sAL5I/6BZldO7D8zY+Y89jfWTVlFi/m/JQXc35KZHtZtd5ftDzCmg/n07r/cQC0HnAcG5d8Sev+3WL3+x/Hutmfs2NzSbWe71Bi2CUpKU2fPp2cnJyK+8XFxXTo0GGvj4lEIkyYMIEf/vCHu12+YcMGmjRpAkDjxo3ZvHkzoVCIt99+myVLllT0CGvfvj0LFy6skfchSUFzIPvnnSZNmkSnTp1o0KBBlWVjx44lNzeXZs2asXbtWvfPkiQaZDYGoGTN+irLStZ+E1uneez4vmjMJL4tXkU0EqkIm1Z/8BnL/1VItDzC5+Om8s1ny+hwzsn7fN1QSgqfPPgiZSWllJdsJ/u8vqz5cD5LX5tOtDzCqrdnsnzix3QanH/Q73H1e3MrhVuzfv/XivDryH7d+PL9uQf9GkFk2CUpqTz99NOEw2HatGlDz549d7vOZ599RjgcrnT77W9/yyuvvMK55567x+du1qwZGzduBGDTpk00bdqU/PzYF9Qpp5xCUVFRjb8fSQqKg9k/A6xcuZKHHnpot3N2AVx22WUsWLCAL774gsMOO8z9sySJbes3AdCwVdXeWA1bHh5bZ13s+H7Lqq+qrLNlZeW2zSu+qlbPrrKSUkr//doAjVo3Z/P3n2vZGhq1br7P59qXL9+bQ6s+x1KvSSOadDyKJf94n9R6aTRqnUnr/t348t05B/0aQWTYJSmp7JwT5v7776/U3rlzZ5YuXQrAscceS0FBQaXb3XffTVFREc8++yxnnHEGs2bN4qmnnqr0HL169WLKlCkATJ06lRNPPJE5c2JfHnPmzKnombBs2bJ9zg0mSYeag9k/l5aWcuWVVzJq1CgyMjKqPHdpaSkAKSkpNG7cmD59+rh/liSxcfEXbFq+huxz+1ZZln1eXzYtX8PGz78EIBqpOqfjYW2PqHQ/I+sItq6u2kvs+6KRSKX7W79cR0aV52rJ1i/X7Xb9/bF+3lKikQjH/r8fsfajBUQjEb58by5HXzaIRi0PZ+1HCw74uYPMsEtSIPTo0WOfZ/Z/+ctfMmnSJN5880169uzJtddey+rVq3n44YcBOOmkkygtLWXAgAH06NGD3r17U1ZWRjgcZuvWrfTu3RuARYsW0a1bt1p/T5IUBNXZP48dO5bPPvuM66+/nnA4zKpVqyrtn1999VXC4TCnnHIKbdu2df8sSapQ+Ktnybn4VLpefw7pGQ1Jb9yIY6//ETk/OZXC4c/s9bFH9jmWrNNPJJSaQscfD+DwY9uz9J8f7HcNS8ZPo1XvXNqf3ZtQSgptTu1J1g9PZPG4qQCUfP0th7VpccBXgVw9bR7HXnc2X74XO9Hz5ftzOPa6s1n7yULKS3cc0HMG3d4vASBJdcjOIS+7k5KSQvfu3SkuLq7WWf3JkycDcOSRR3LHHXdUtD/xxBOV1nv00Ucr3Z8/fz4nnHACoVBo/4qXpAA72P3zVVddxVVXXVWlfef+efDgwQwePLjSMvfPkiSAFRM+YvKQB+nxHxfR846fALBu9udMHvJgRTi0J0v+8R6dBudzyhM/Z8uX65hy7e/Z+sW6/a5h09LVvH317zj+/7ucfn/4GVtWfsXUmx9j/b8nwl/62nQ6nt+fS+b+mVAoxF+6X1PtSeoBvnx3Dh1+dDJfvhebn+vL9+ZSr8lhzte1F4ZdkgLj3nvvrfXXyM3NJTc3t9ZfR5KCxP2zJKk2ffnenL0GW+N63VSl7b1hT+xmzX1bPX0eL+b8tEr7qimzWDVl1m4fs33DZt688D+r9fyhf1+R+LthWNHzEyl6fmLF/ZI13/Bs64v2o+pDj8MYJUmSJEmS6oDDu7YnsqNstxPqq/rs2SVJkiRJkvRv5xX8gYy2Laq0r5j4CVNvevSgn3/Qi7+kVe9jqrTv2LyNlPRUPnlwLNs3bj3o1zmUGXZJkiRJkiT92/jwL2r1+Sdf/kCtPr8cxihJkiRJkqQAMeySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwEiKsGv79u0MHz6crKwsGjZsyMCBAyksLCQUCjF+/PhElyepBqzcsuvvr7Ylrg5JUmVlkV1/f/w1lEcTV4sk6dCU2qAeP572P1y+aEyiS1GSqPNhVzQaZfDgwTz11FPce++9vP7662RnZ3PBBRcAkJeXl+AKJR2ML7fCLdPhgrd2tZ09Ee7+GDaUJq4uSRK8shTOnrTr/g3T4EeT4PXlCStJknQIyrvjYjav/DrRZSiJpCW6gH0ZPXo0b7zxBrNmzaJr164AhMNhsrOzyczMpF27dgmuUNKBWlsCV70L60vhux0FIsDbX8CijfDMAGicnqgKJenQ9Vwx/M/8qu1fbYMRs2BLOVycHfeyJEmHmObdO9Lm1J589OvnOfXp2xNdjpJEne/ZNXLkSIYMGVIRdAGkpqaSnZ1dpVfXr3/9a0KhEHPnzo13mZIOwP8ujAVdkd0siwBLN8NLn8e7KknS19vgiQV7X+fRebBxe3zqkSQdmkKpKfT9/Q18cM9TRLaXJbocJZE6HXYVFxezZMkSLrzwwirLVqxYUSnsmjFjBh988AHt27ePZ4mSDtDWMvjnit0HXd81bilEnR9GkuLqtRUQ2ce+d0cE3lgZn3okSYembjedx7o5S1jzwW66Gkt7UaeHMa5atQqAli1bVmpfsGABy5Ytqwi7SktL+dnPfsZLL71EOBw+oNcKh8OkpNTp7G+3uv01NpN3/foNElxJsPk517z6R3Xh6P+evc/11pdCo8NbECnZFIeqDg1uz/Hh5xwffs61o+3P/pdm/S8llLbnceTRsh38f4/8maFP3RrHyoLPbTo+/Jzjw885PoLwOXdKO5w7m/Sv1Na4w5F0ueJ0Xv3BHQmqKnmdemqYxWXfJLqMGlGvXj02bdr/34J1Ouxq3rw5AIsWLaJXr15AbML6u+66i0gkUhF2/epXv2LIkCF06NAhUaVK2k+R7SXVWi8ajRDd4eUZJSmeItu3QSi095VCISKlW+NTkCTpkNOq1zE0bNGUH7//GAApaamkH9aQS+b9mSnXPGxvL+1VnQ67cnNzycnJ4Z577iE9PZ2MjAxGjRrFzJkzadSoEV26dGH69Ol8/PHH/Pa3vz2o1yooKKBfv341VHn8nPhq7L+lpV62rjb5Ode8aBQuLoAlmypPTv9dKUDvlil8smVzHCsLPrfn+PBzjg8/59rx/hr4+Yd7XyeUmsbfR/6C45/6RXyKOkS4TceHn3N8+DnHRxA+5zWFC/jXefdWalvy2jS+eHfXSJAjTuhC///+Ga8Oup1t6zbGu8SkMmVKAa16HZPoMhKqTo/bS0tLY9y4cbRu3ZqhQ4cybNgwzjzzTPLz8+nevTspKSm88847zJ8/n+zsbDp06MDKlSv54Q9/yMSJExNdvqS9CIXgipw9B10Qm8/r8k7xqkiStNPJLaFDxp4PFFOALk0hLzOeVUmSDiXlJdvZ+uX6ilvpuo0QjbL1y/VOVq99qtNhF0CPHj2YPn06W7dupaioiBtvvJGZM2dWDGG8++67+eKLL1i6dClLly6lbdu2TJgwgdNPPz3BlUval7PbwlWdY39/d2e08+/bu0Gflt9/lCSptqWE4L97Q8uGsfs7BzTu/G+bw+C/eu17pKMkSTVl9fR5vJjz00SXoSRRp4cx7k5JSQlFRUUMGzYs0aVIOkihEPwsF/q1hJeXwuz1sbbeR8BFHWK9BiRJidHmMPhLGF5fEbt67rpSOKIBnJMFZ2bBYUl3FClJkg4VSXeYMnv2bMrLyyt6dn3f0qVL41uQpIPWs3nsJkmqWzLS4ZKOsZskSVKySLqwq3fv3kSje5vlR5IkSZIkSYeqOj9nlyRJkiRJklRdhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSQlQUFBAdnY24XCYoUOHVln+wAMPUFxcvMfHr1+/nhNOOIGMjIwqy0pKSjjrrLPIz8/nqquuqmh/8sknOe200wiHw+zYsYP58+czcuTImnlDkhQgB7uPBrjlllsYMGAADz74YKX2N998k3A4TDgcpnnz5syaNYulS5fSunVrwuEwV1xxBQDvvfceffr0oW/fvjzyyCMA7rclqZoMuyRJSpBrrrmGgoICmjZtyvTp0yvaI5EIs2fPpnPnznt8bOPGjZk0aRJ9+vSpsmzixIn079+fd955h/T0dObOncvy5cuZM2cOb731FgUFBaSnp5Obm8uMGTOIRqO18v4kKZkdzD76448/Ji0tjXfffZcZM2awZs2aimVnnHEGBQUFTJkyhY4dO9KjRw8Azj77bAoKCnj++ecB6NixI1OnTmXatGm8/vrrbN261f22JFWTYZckSQnWrVs3Vq1aVXH/008/5eijj97rY9LT08nMzNztsuzsbLZs2QLA5s2badq0KRMnTmTLli0MHDiQESNGVKzbsWNH5s2bd/BvQpIC6kD20R9++CEDBw4EID8/n08++aTKOh999BEnnngioVAIgAkTJjBgwABefPFFAI466ijq1asHQGpqKikpsZ9u7rclad8MuyRJSrDp06eTk5NTcb+4uJgOHToc8PPl5OTw7rvvkpubSygUIisri7Vr1xIKhXj77bdZsmQJs2bNAqB9+/YsXLjwIN+BJAXXgeyjN2zYQJMmTYBYT9wNGzZUWWf8+PGcd955ALRu3ZqioiImTpzIk08+ybp16yrWmzRpEp06daJBgwaA+21Jqg7DLkmSEuTpp58mHA7Tpk0bevbsudt1Pvvss4q5XXbefvvb3+71eZ977jkuvvhi5s+fT4sWLZg2bRpNmzYlPz8fgFNOOYWioqKafjuSFCgHs49u1qwZGzduBGDTpk00a9asymOnTJlS0furfv36NGrUiIYNGzJgwAAWL14MwMqVK3nooYcq5uySJFVPWqILkCTpUHXNNddw7733Vmnv3Lkzr7zyCgDHHnssBQUF+/W8kUikYohjZmYmGzZs4OSTT2bs2LEAzJkzh0svvRSAZcuW0a9fv4N4F5IUTAezj/7oo4946aWXOOecc5g6dSo/+clPKi3//PPPadu2bcUwxc2bN5ORkUE0GuXjjz/m5ptvprS0lCuvvJJRo0ZVuhiJ+21J2jd7dkmSVMf06NGjWj2vBg0axMyZMxk0aBBz585l9erVPPzww1x22WU888wzhMNhZs2axQ9+8AOOP/54ysrKCIfDbN26ld69ewOwaNEiunXrVttvSZICozr76JNOOonS0lIGDBhAjx49aNWqVcU+GioPYQSYNm0aJ554In379uX000+ndevWjB07ls8++4zrr7+ecDhcMW+Y+21J2jd7dkmSlAA7h7vsTkpKCt27d6e4uHivV/uaPHlylbY77rgDiF2R8fseffTRSvfnz5/PCSecUDE5siQppib20U888USl+0ceeWTFPvoXv/hFpWWnn346p59+eqW2q666iquuuqpSm/ttSaoewy5Jkuqg3Q2dqWm5ubnk5ubW+utIUtDEYx+9O+63Jal6HMYoSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBhJE3Zt376d4cOHk5WVRcOGDRk4cCCFhYWEQiHGjx+f6PIkSapQWr7r7y+3Jq4OSVJVK7fs+ntHJHF1SNq7/o/+jJ8ue4nLF42puLU5tWeiy1KSSEt0AdURjUYZPHgwhYWFjBgxgpycHMaOHcsFF1wAQF5eXoIrlCQJyiLw9EL4y5JdbedOht5HwH90g46NE1ebJB3qFn4Lf5gHH329q+2MCXBZJ7iyM6SGElebpN1b+MJkPvzl04kuQ0koKcKu0aNH88YbbzBr1iy6du0KQDgcJjs7m8zMTNq1a5fgCiVJh7pIFO6dAZO/qNweBQq/gqvehT/3h05NElKeJB3SFnwL174H28srt3+7A0YtgOWbYUQehAy8JCkQkmIY48iRIxkyZEhF0AWQmppKdnZ2Ra+uDh06cMwxx9CzZ0969uzJhAkTElWuJOkQNHV11aBrpwhQUg4Pz4lrSZKkf3vo01jQtadRi/9cCYVf72GhpITp+OMBXPrZM5w/9VG6//zHhFKTIsJQHVDne3YVFxezZMkSHnvssSrLVqxYwYUXXlhxf9y4cXTr1i2e5UmSBMC4pZASivXw2p1IFD5eB8s2Q/uMuJYmSYe0hd/CvA17XyclBOOWxIadS6obPnv6DT7+zRi2rd9E8+4dyf/jMFLr12Pm7/6S6NKUBOp82LVq1SoAWrZsWal9wYIFLFu2rMbm6wqHw6SkJF9K3O2v2wCoX79BgisJNj9nBYnbc+045n+Xk96s1T7XO/HMwWwsfDUOFR0a3J4VNG7TNa/ZgEvJuvXZva4TicKbsz7nsQG58SnqEOH2HB9B+Jw7pR3OnU36V2pbP2fXJKjrPl3MzN//H3m3X2zYVQ2nnhpmcdk3iS6jRtSrV49Nmzbt9+PqfLrTvHlzABYtWlTRFo1Gueuuu4hEIpXCrssvv5zu3btz0003sWHDhniXKkk6hEV3lFZvvbIdtVyJJOm7ItXeP1dvPUkJEomC8+qpmup8z67c3FxycnK45557SE9PJyMjg1GjRjFz5kwaNWpEly5dAHj33XfJysqitLSUYcOGcfPNN/PCCy9U+3UKCgro169fbb2NWnPivzsHlJb65Vyb/JwVJG7PtWPkbPjb0j3PBwNQPwWWTv0HGenxqir43J4VNG7TNW9DKZwxEcr2MMwcYr+frwvncqufe41ye46PIHzOawoX8K/z7q3U1uHcvqyaMosdm7ZyeG57etw2mKWvT09QhcllypQCWvU6JtFlJFSdD7vS0tIYN24cN9xwA0OHDiUrK4thw4bRpEkTFi9eXDH0MCsrC4D69etz0003ce655yaybEnSIWZwNvxtGbHLL+5GCLigPQZdkhRnzerD2Vnw6vLd76JDQGoIftw+3pVJ2ptjrvwhJ4+8jpT0VErWbGDxuHeY/T9/T3RZShJ1PuwC6NGjB9OnV05wH3/8cfLz8wHYsmULZWVlNG3alGg0yl/+8hd69uyZgEolSYeqjo3hvjz41UwguquHVwqxv09qAbccm7j6JOlQdnu32AVCZq3ftV+G2N8pIXjoRGh7WAILlFTFmz/+z0SXoCSWFGHX95WUlFBUVMSwYcMAWLNmDRdeeCHl5eWUl5dz7LHH8sc//jGxRUqSDjlntIVOjeGvS2HKl7A9EgvBLuoAZ7SBtDo/U6YkBVPDNPjjyfCvVbEh50s3Q4MUGHgU/CQ7tq+WJAVHUoZds2fPpry8vGJy+o4dOzJz5swEVyVJEnRuCr/sEbtJkuqOeqlwXrvYTZIUbEkZdvXu3ZtodC8zTEqSJEmSJOmQ5IAKSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSQFUUFBAdnY24XCYoUOHVlk+ZswYJk+eDMCAAQPIyMhg5cqVVdabMWMG/fr1Iz8/n7lz5wLw8ssv06tXL/r06cMHH3wAwFVXXUU0Gq3FdyRVj2GXJEmSJEkBdc0111BQUEDTpk2ZPn16pWWvvfYap512GhALry666KLdPsd9993HK6+8wt/+9jd+85vfAPDEE08wdepUXnnlFX7/+98D0Lt3b6ZMmVKL70aqHsMuqQbs64zJAw88QHFx8T6f59FHH2XQoEG7XXbLLbcwYMAAHnzwQQCefPJJTjvtNMLhMDt27GD+/PmMHDny4N6IxMFvz+vXr+eEE04gIyOjyrKSkhLOOuss8vPzueqqqyra3Z4lSZJqV7du3Vi1alXF/fXr19OgQQNCoRAARx555B4fu2XLFlq1akWLFi1YunQpAB06dGDLli18++23ZGZmAnDqqafyxhtv1N6bkKrJsEuqIXs6YxKJRJg9ezadO3fe6+N37NjBrFmzdrvs448/Ji0tjXfffZcZM2awbNky5syZw1tvvUVBQQHp6enk5uYyY8YMuw2rRhzM9ty4cWMmTZpEnz59qiybOHEi/fv355133iE9PZ25c+eyfPlyt2dJkqRaNn36dHJyciruL1q0iPbt21frsY0bN6a4uJjPP/+cefPmAXDOOeeQl5fHoEGD+NnPfgZA+/btWbhwYc0XL+0nwy6phn3/jMmnn37K0Ucfvc/HjRkzhksvvXS3yz788EMGDhwIQH5+PuPHj2fLli0MHDiQESNGVKzXsWPHii8fqSYcyPacnp5ecXbv+7Kzs9myZQsAmzdvpmnTpkycONHtWZIkqZY8/fTThMNh2rRpQ8+ePQ/oOR544AFuuukmhg8fzoABAwAYOXIk8+fP56OPPmL48OE1WLF08Ay7pBr2/TMmxcXFdOjQYa+PiUQiTJgwgR/+8Ie7Xb5hwwaaNGkCxM6qbN68mVAoxNtvv82SJUsqeoR5JkU17UC2573Jycnh3XffJTc3l1AoRFZWFmvXrnV7liRJqiU7e+zff//9ldpzcnJYtmxZtZ4jNzeXSZMm8dBDD9GlSxcAGjRoQMOGDWnSpEnFycxly5btc0SLFA+GXVINqc4Zk88++4xwOFzp9tvf/pZXXnmFc889d4/P3axZMzZu3AjApk2baNq0Kfn5+QCccsopFBUV1fj70aHtYLbnvXnuuee4+OKLmT9/Pi1atGDatGluz5IkSQmQmZnJ1q1bK+4PGTKEiRMncumll/LWW28BcNtttwEwevRoTj31VH7+85/zy1/+EoArrriCvn37MnDgQP7jP/4DgClTpnDmmWfG+Z1IVaUlugApKK655hruvffeKu2dO3fmlVdeAeDYY4+loKCgyjoPPPAABQUFjBkzhlmzZvHUU09x7bXXVizv1asXL730Eueccw5Tp07l9ttv5+WXXwZgzpw5FcMfly1bRr9+/Wrh3elQczDb895EIpGKIY6ZmZls2LCBk08+mbFjxwJuz5IkSTVp5wnJPTn33HOZPHkygwYN4oUXXqiy/JFHHgHguuuu47rrrqu07Nprr630mwVi0698fz0pEezZJdWyHj167LOnyi9/+UsmTZrEm2++Sc+ePbn22mtZvXo1Dz/8MAAnnXQSpaWlDBgwgB49etC7d2/KysoIh8Ns3bqV3r17A7FJJrt161br70mHrupszwCDBg1i5syZDBo0iLlz51Zsz5dddhnPPPMM4XCYWbNm8YMf/IDjjz/e7VmSJCkBrrjiij1eDf5APPPMM6SkGDMo8ezZJdWAvZ0xSUlJoXv37hQXF1dr/PrkyZOB2KV/77jjjor2J554otJ6jz76aKX78+fP54QTTqi4dLB0oGpie965HX/Xzu154sSJVZa5PUuSJEmqKYZdUhzsbjhYTcvNzSU3N7fWX0dye5YkSZJUl9m/UJIkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwkibs2r59O8OHDycrK4uGDRsycOBACgsLCYVCjB8/PtHlKcC+3b7r77JI4uqQasL28l1/bylLXB2SJEk6eNu+c2y3zWM7qUJaoguojmg0yuDBgyksLGTEiBHk5OQwduxYLrjgAgDy8vISXKGCaHUJ/HE+TFy1q+2cSXBpJxjSCVJCiatN2l/by+HpYnh5ya6209+EH2XBTbnQtF7iapMkSdL+KSmDJ4vg78t2tZ0+Ac5rDzceA42S4pd+9bQ97Xjy7rqEJp2OomxzCXP/9BrzRr2a6LJUxyXFP4HRo0fzxhtvMGvWLLp27QpAOBwmOzubzMxM2rVrl+AKFTSrt8LQd+GbUvhuZ66vSuGxz2DRRvh1HoQMvJQEyiLwi0L48KvK7aUReGUZfLwO/tzfwEuSJCkZbCuDG6fBvA0Q/U771nL4y+cwax082S8YgddR+T04+eHree/Wx1k9fR5pDetzWJsWiS5LSSAphjGOHDmSIUOGVARdAKmpqWRnZ1f06tq2bRs33ngjnTt35rjjjuO6665LVLkKgN/PrRp0fdcbK+Gd1XEtSTpgf19WNejaKQos3wx/WhDXkiRJknSAXvgc5m6oHHTtFAUWfAvPL4pzUbUk785LmP3o3/jyvTlEyyPs2FzChqIViS5LSaDOh13FxcUsWbKECy+8sMqyFStWVIRdd955Jw0aNGDhwoXMmTOH3/zmN/EuVQGxtiQWZO1teq6UELy8NF4VSQfnr0tgb50Qo8BrK2Ld4SVJklR3lUdh3JK9rxMF/rY0+ecbTmtYnxY9O9HwiGZc8O5/c/Hspxj47F1kZLVMdGlKAnW+Y+OqVbEJk1q2rLxBL1iwgGXLlpGXl8fmzZt5/vnnWblyJaF/jytr1arVfr1OOBwmJaXOZ39VdPvrNgDq12+Q4EqCI6PnD8n+5d7HgEei8P7n66kfbh2nqqQDlJrGcX/Zss/VtpXDkbknsG353DgUJdUcvwcVNG7TChK355qX1rQluU/tu2fTN9uhaZuOlK1ftc9164JOaYdzZ5P+ldrqNTuMUEoK7c/uzaRL76dk3bf0uu8qTn36Dl47/Y4EVZocTj01zOKybxJdRo2oV68emzZt2u/H1fl0p3nz5gAsWrSrH2Y0GuWuu+4iEomQl5fH4sWLad68Ob/+9a858cQTCYfDvPfee4kqWckuUs3uLZHyfa8jJVo0QjRavdN6UbdpSZKkOi1avh9d8ZP82G7H5lhY+tlTb7B55VeUl2xnxkNjaX5ctvN2aZ/qfM+u3NxccnJyuOeee0hPTycjI4NRo0Yxc+ZMGjVqRJcuXZg1axaff/45eXl5PPzww3z44Yecc845LFq0iCZNmlTrdQoKCujXr18tv5uad+K/OyCVlpYmtpAA2bwDfjghNnn3nqQA53Y9gll+7koC178PM9ftfWhui/rwQfEs0ur8KRCpMr8HFTRu0woSt+eaF43CpQWweNPu5+yC2PQV7TPgo9XLkuaCWmsKF/Cv8+6t1LZj01Y2r1gbe9PaL1OmFNCq1zGJLiOh6vzPmrS0NMaNG0fr1q0ZOnQow4YN48wzzyQ/P5/u3buTkpJCu3btSEtL49JLLwWgd+/etGjRgoULFya4eiWjjPTYJXv39r0QAX6SHa+KpINzace9B10AF3fEoEuSJKmOC4Xgsk57DrogtuzSjsG4cnzR8xPJvfZsGh3VnNT66eTdeQlff7qYLau+TnRpquPqfM8ugB49ejB9+vRKbY8//jj5+fkAtGjRglNPPZVJkyZx+umns3DhQtauXUtOTk4iylUA3JoLC7+FWetjodfOL5OUUGy+rtu7QbfDE1mhVH3h1nBlDjy7KHaGY2fwtfPv8JHw006Jq0+SJEnVd04WzPkmdsXt3R3bnZMFF7RPXH01ac4T46nXNINzJ/4OQimsLVzAlGseTnRZSgJJEXZ9X0lJCUVFRQwbNqyi7U9/+hNXX301t912G+np6YwZM4ZmzZolrEYltwZp8MTJMH557Ep2yzZDagj6t4JLOsKJDhFXkrn5WOieCf+3BD7+OhbaHt001kPx7KzY9i1JkqS6LxSCe7pDrxaxY7vZ62Pt3Q6P9dY//ahg9OoCIBrlkwde4JMHXkh0JUoySRl2zZ49m/LycvLy8iraOnbsSEFBQeKKUuDUT40FAT/JjgUDIQL0paFD0ilHxm7RaKy3YorbsyRJUlIKheAHbWK3nVNa+VtF2iUpw67evXsTdZI6xZGhgIIkFNr7nHSSJElKHoZcUlVORyxJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBYdglSZIkSZKkwDDsCrCCggKys7MJh8MMHTq0yvIxY8YwefJkioqK6NevHwMGDOAXv/hFlfUuueQSwuEwJ5xwAueffz4A//3f/02fPn3o378/ixYtoqysjGuvvba235IkSZKkAKjubxWAAQMGkJGRwcqVK6usN2PGDPr160d+fj5z584F4OWXX6ZXr1706dOHDz74AICrrrqKaDRai+9IUl1i2BVw11xzDQUFBTRt2pTp06dXWvbaa69x2mmn0aJFCyZMmMC7777L119/zcKFCyut95e//IWCggKuu+46zjrrLABeeuklpk+fzu9+9zv+9Kc/kZaWxhFHHMHixYvj9t4kSZIkJa/q/FaBWHh10UUX7fY57rvvPl555RX+9re/8Zvf/AaAJ554gqlTp/LKK6/w+9//HoDevXszZcqUWnw3kuoSw65DRLdu3Vi1alXF/fXr19OgQQNCoRDNmzcnIyMDgNTUVEKh0G6f47XXXuOcc84BICsri9LSUr799lsyMzMBCIfD/Otf/6rldyJJUvXtq+fAAw88QHFx8R4f/95779GnTx/69u3LI488UmV5YWEh/fr1o2/fvtx7770APPnkk5x22mmEw2F27NjB/PnzGTlyZM29KR3SDnabBrjlllsYMGAADz74YKX2N998k3A4TDgcpnnz5syaNYulS5fSunVrwuEwV1xxBbD7fxdu5zoYe/utAnDkkUfu8bFbtmyhVatWtGjRgqVLlwLQoUMHtmzZUum3yqmnnsobb7xRe29CUp1i2HWImD59Ojk5ORX3Fy1aRPv27SutM2/ePL7++ms6d+5c5fGbN29m06ZNtG7dGoD+/fuTm5vLjTfeyJVXXglA+/btq/QKkyQp0fbUcyASiTB79uzdfu/t1LFjR6ZOncq0adN4/fXX2bp1a6XleXl5vP/++0ybNo3p06ezfPly5syZw1tvvUVBQQHp6enk5uYyY8YMh8+oxhzMNv3xxx+TlpbGu+++y4wZM1izZk3FsjPOOIOCggKmTJlCx44d6dGjBwBnn302BQUFPP/888Du/124netgVOe3yp40btyY4uJiPv/8c+bNmwfAOeecQ15eHoMGDeJnP/sZ4G8V6VBj2BVwTz/9NOFwmDZt2tCzZ889rrdx40ZuvvlmRo8evdvlEyZM4IwzzqhY929/+xvFxcX8/e9/Z8SIEbVQuSRJNev7PQc+/fRTjj766L0+5qijjqJevXpArPdzSkrlQ6f09HQAysvLOeqoo5g4cSJbtmxh4MCBlb4fO3bsWPEjTKopB7JNf/jhhwwcOBCA/Px8PvnkkyrrfPTRR5x44okVvWomTJjAgAEDePHFF4E9/7twO9f+qu5vlb154IEHuOmmmxg+fDgDBgwAYOTIkcyfP5+PPvqI4cOH12DFkpKFYVfA7Tzzd//991dqz8nJYdmyZQBEo1Guvvpq7rvvPo466qjdPs/48eM577zzAAiFQhx22GGkpaWRmZnJhg0bAFi2bNlezyRKkpRI3+85UFxcTIcOHar12EmTJtGpUycaNGhQZdnYsWPJzc2lWbNmrF27llAoxNtvv82SJUuYNWsWYI8C1Y4D2aY3bNhAkyZNgFiPmJ3Hcd/13eO+1q1bU1RUxMSJE3nyySdZt25dxXrf/3fhdq79VZ3fKvuSm5vLpEmTeOihh+jSpQsADRo0oGHDhjRp0oQtW7YA/laRDjVpiS5AiZGZmVkxFKOgoIC3336br7/+GoBHHnmENm3aMGbMGO644w7Ky8tZuHAhxx57LBA7MDr55JPp168f5eXlPPbYYxXPc8011yTmDUmStAdPP/00kydPpn///nvsOfDZZ59x0003VWo744wzuPvuu1m5ciUPPfQQr7766m4fe9lll3HJJZcwePBgcnJyyM/PB+CUU06hqKjogHsrSHtyMNt0s2bN2LhxIwCbNm2iU6dOVR47ZcoU/vM//xOA+vXrV7QPGDCAxYsX07x5833+u5AOxnd/qwAMGTKEt99+m8WLFzNixAhOO+00brvtNh555BFGjx7NSy+9RLNmzSpGqVxxxRX07duXSCRSsS1PmTKFM888MyHvR1L8GXYF2M4JRvfk3HPPZfLkyQwaNIj169dXWX7HHXcAse7pOy/Zu9OvfvUrfvWrX1XcLysrY+3atZXOLkqSVBdcc801FZPHf1fnzp155ZVXADj22GMpKCiosk5paSlXXnklo0aNqriYy/eX169fn5SUFBo3bkyfPn14+eWXAZgzZw6XXnopEOtR0K9fvxp8VzqUHcw2/dFHH/HSSy9xzjnnMHXqVH7yk59UWv7555/Ttm3bimGKmzdvJiMjg2g0yscff8zNN9+8x38XbufaH/vzW+WFF16osnznxRGuu+46rrvuukrLrr32Wq699tpKbR9++GGV9SQFl8MYD2FXXHEFgwYNqpHnSktL4+mnn66R55IkKR569OhBUVHRXtcZO3Ysn332Gddffz3hcJhVq1axevVqHn74YQBeffVVwuEwp5xyCm3btqV3796UlZURDofZunUrvXv3BmKTLXfr1q3W35MObdXZpk866SRKS0sZMGAAPXr0oFWrVpW26e8OYQSYNm0aJ554In379uX000+ndevWu/13AW7nqlk1+VsF4Jlnnqky76Kk4ApFD/FLprz//vv079+f9957LynPRJ34757jH5+b2DokSUqEg/0evP/++7n44otrdR6X+fPnM378eO6+++5aew0FRzJs07vjdq7d8beKqmtN4QL+dV7VHqs6MGeOv59WvY5JdBkJ5TBGSZJ0yNrdULCalpubS25ubq2/jgTx2aZ3x+1cklSX2I9TkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTCSJuzavn07w4cPJysri4YNGzJw4EAKCwsJhUKMHz8+0eUlxJayRFcgSVLdsHlHoiuQDp7bsYJke/muvyPRxNUh6dCUlugCqiMajTJ48GAKCwsZMWIEOTk5jB07lgsuuACAvLy8BFcYXyu3wNML4c1Vu9qunApXdoZw68TVJUlSvLy7Gp4p3nV/0Jvwgzbw/46GdhmJq0s6EJ9vgqeK4K0vd7Vd9x5cfTT0aZm4uqQDsXlH7LfK35ftarvgLbisEwzuACmhhJWmJHP5ojGV7qfWS2dD8SpePe22BFWkZJIUYdfo0aN54403mDVrFl27dgUgHA6TnZ1NZmYm7dq1S3CF8bNkE1zzXuxLJPKd9s82wO0fwS+6wuWdElWdJEm17+UlMHJO5e7pZVGYsCoWgj3VH3KaJKw8ab98tgGufx9Kyysf281aD7d8AL/qCeccOoe6SnKbdsR+qyzZBN/tzPXFVnh4Dnz2DfxnnoGXqufFnJ9Wun/uW4+wZPz7CapGySYphjGOHDmSIUOGVARdAKmpqWRnZ5OXl8fSpUvp2bNnxa1Dhw5kZmYmsOLa858zYXNZ5YMh2HX/D/Ng6aZ4VyVJUnys3AK/mxP7u8p3YRS2lsEvP4GoQ2aUBCJRuOfjqkEXxO5Hgd98Cl9tS0Bx0gF4Yn7VoAt23f/nSpj0RbyrUhC06JlDs6Pbsuj/piS6FCWJOh92FRcXs2TJEi688MIqy1asWEFeXh4dOnRg1qxZFbfzzz+fyy67LAHV1q75G2Jn//Y25j0E/G3ZnpdLkpTMXtnHd1wEWLwJZn8Tl3Kkg1L4FazcWjXo+q5IFP7hsZ2SwOYd8NryqkHXd6UAf10Sr4oUJJ0vG8iqt2dSssYveFVPnR/GuGpVbGKqli0rT1iwYMECli1bVmW+ru3bt/Piiy8yYcKE/XqdcDhMSkrdzv4yT7+eNv/vsb2uEwWenlDIPScMiE9RkiTFUfaISWR0PWWf65157R2s++fevzOlRDvix3fT6pL/JBTa8zFoNBLh4ZcmcPND58evMOkANOzci5wH393rOhFg1trt1K/fOD5FKWl0SjucO5v03+2ytIb1yT6vH+/e+nicq0pep54aZnFZMILBevXqsWnT/g9fq9vpDtC8eXMAFi1aVNEWjUa56667iEQiVcKuV199lTZt2nD88cfHtc64iO7tvN9313PshiQpoKIRotX5nvO7UMnAYzsFSTW3Zzdn7a8O55xMWcl2Vk7+JNGlKImEotU6YkycsrIycnNz2bFjBw8//DAZGRmMGjWKmTNnsn79ejZt2lSpR9ZZZ53FGWecwa233lqt59+4cSNz5szhuOOOo0mTuj2b7eKNcHHB3tcJAUNz4OZj41GRJEnx9eQCeGrh3ofJALxwChzTLB4VSQdu1jq4thpzLd96LFyRU/v1SAdjWxn8cCJsKdvzOikhOKkFPHFy/OpSclhTuIB/nXfvbpedOf43rP1wAZ88+GKcq0peZ46/n1a9jkl0GQlV53t2paWlMW7cOFq3bs3QoUMZNmwYZ555Jvn5+XTv3r1S0LVq1SreeecdLr/88mo/f5MmTejXr1+dD7oAOjWB45vv/X9aCLigfbwqkiQpvi5ov/ereKUA3ZoZdCk59MiETo33vE2HgHopcG5WXMuSDkiDtNg+em8XWoxE4SfZcStJAdCk01G0PLELC196K9GlKMnU+bALoEePHkyfPp2tW7dSVFTEjTfeyMyZM6sMYXzuuec4++yzK4Y+BtF9edCiQdUvkRRibb/qCW0Oi39dkiTFQ8uG8Ou82Pfe9wOCEHB4fbj/hERUJu2/UAhGnghN0ndzbBeK3R48AZrVT0h50n67oQscd3jV9p0/Oi/vCKe0imtJSnKdLx3Img/ns2nJ6kSXoiRT5yeo352SkhKKiooYNmxYpfZnn32Wxx4L9mS0RzaCMafAC4vh78tgc1ns4KhfK/hpTqznlyRJQXZGW2jdCMYsgndWx4Y0HpYG57WLfRce0SDRFUrV16FxbNjtmMXw6nIoKY+FXAOPhCE50G03wYFUVzVIgz/2hf/7HF5eCqtLYu3HHg6XdYQfHBULeaXq+uT+FxJdgpJUnZ+za3c+/PBD+vTpw0cffcSJJ56Y6HISpjwKW3ZA/dTYTZKkQ832cthWDoelQ6o/oJTkyiKx+Y4apkI9j+2U5KLR2PacGoKGSdnFQvG0tzm7tP+csytJe3b17t27eldiCrjUEDSpl+gqJElKnHqGAgqQtBRo6rGdAiIUgoz0RFch6VCVFHN2SZIkSZIkSdVh2CVJkiRJkqTAMOySJEmSJElSYBh2SZIkSZIkKTAMuyRJkiRJkhQYhl2SJEmSJEkKDMMuSZIkSZIkBYZhlyRJkiRJkgLDsEuSJEmSJEmBEYpGo9FEFyFJkiRJkg5N2zdt5Zv5yxNdRmAcntuOeo0bJbqMhDLskiRJkiRJUmA4jFGSJEmSJEmBYdglSZIkSZKkwDDskiRJkiRJUmAYdkmSJEmSJCkwDLskSZIkSZIUGIZdkiRJkiRJCgzDLkmSJEmSJAWGYZckSZIkSZICw7BLkiRJkiRJgWHYJUmSJEmSpMAw7JIkSZIkSVJgGHZJkiRJkiQpMAy7JEmSJEmSFBiGXZIkSZIkSQoMwy5JkiRJkiQFhmGXJEmSJEmSAsOwS5IkSZIkSYFh2CVJkiRJkqTAMOySJEmSJElSYPz/eo4vJuqstscAAAAASUVORK5CYII=", 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" ] @@ -776,10 +776,10 @@ "execution_count": 18, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:05.114735Z", - "iopub.status.busy": "2024-07-23T22:30:05.114333Z", - "iopub.status.idle": "2024-07-23T22:30:05.376244Z", - "shell.execute_reply": "2024-07-23T22:30:05.375653Z" + "iopub.execute_input": "2024-07-26T02:27:57.392417Z", + "iopub.status.busy": "2024-07-26T02:27:57.392218Z", + "iopub.status.idle": "2024-07-26T02:27:57.652820Z", + "shell.execute_reply": "2024-07-26T02:27:57.652221Z" } }, "outputs": [ diff --git a/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb b/dev/.doctrees/nbsphinx/explanations/state-vectors-and-gates.ipynb index 8a4de8fd6..e13b94db9 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": "2024-07-23T22:30:07.876318Z", - "iopub.status.busy": "2024-07-23T22:30:07.876131Z", - "iopub.status.idle": "2024-07-23T22:30:08.578038Z", - "shell.execute_reply": "2024-07-23T22:30:08.577435Z" + "iopub.execute_input": "2024-07-26T02:28:00.070414Z", + "iopub.status.busy": "2024-07-26T02:28:00.070211Z", + "iopub.status.idle": "2024-07-26T02:28:00.780391Z", + "shell.execute_reply": "2024-07-26T02:28:00.779754Z" } }, "outputs": [ @@ -74,10 +74,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.580795Z", - "iopub.status.busy": "2024-07-23T22:30:08.580359Z", - "iopub.status.idle": "2024-07-23T22:30:08.587079Z", - "shell.execute_reply": "2024-07-23T22:30:08.586565Z" + "iopub.execute_input": "2024-07-26T02:28:00.783261Z", + "iopub.status.busy": "2024-07-26T02:28:00.782539Z", + "iopub.status.idle": "2024-07-26T02:28:00.789654Z", + "shell.execute_reply": "2024-07-26T02:28:00.789197Z" } }, "outputs": [ @@ -120,10 +120,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.589388Z", - "iopub.status.busy": "2024-07-23T22:30:08.589035Z", - "iopub.status.idle": "2024-07-23T22:30:08.593419Z", - "shell.execute_reply": "2024-07-23T22:30:08.592920Z" + "iopub.execute_input": "2024-07-26T02:28:00.792131Z", + "iopub.status.busy": "2024-07-26T02:28:00.791768Z", + "iopub.status.idle": "2024-07-26T02:28:00.795891Z", + "shell.execute_reply": "2024-07-26T02:28:00.795380Z" } }, "outputs": [ @@ -157,10 +157,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.595784Z", - "iopub.status.busy": "2024-07-23T22:30:08.595429Z", - "iopub.status.idle": "2024-07-23T22:30:08.599404Z", - "shell.execute_reply": "2024-07-23T22:30:08.598893Z" + "iopub.execute_input": "2024-07-26T02:28:00.798146Z", + "iopub.status.busy": "2024-07-26T02:28:00.797812Z", + "iopub.status.idle": "2024-07-26T02:28:00.801877Z", + "shell.execute_reply": "2024-07-26T02:28:00.801327Z" } }, "outputs": [ @@ -199,10 +199,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.601620Z", - "iopub.status.busy": "2024-07-23T22:30:08.601230Z", - "iopub.status.idle": "2024-07-23T22:30:08.607187Z", - "shell.execute_reply": "2024-07-23T22:30:08.606674Z" + "iopub.execute_input": "2024-07-26T02:28:00.804324Z", + "iopub.status.busy": "2024-07-26T02:28:00.803981Z", + "iopub.status.idle": "2024-07-26T02:28:00.809781Z", + "shell.execute_reply": "2024-07-26T02:28:00.809280Z" } }, "outputs": [ @@ -245,10 +245,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.609288Z", - "iopub.status.busy": "2024-07-23T22:30:08.609088Z", - "iopub.status.idle": "2024-07-23T22:30:08.614772Z", - "shell.execute_reply": "2024-07-23T22:30:08.614315Z" + "iopub.execute_input": "2024-07-26T02:28:00.812168Z", + "iopub.status.busy": "2024-07-26T02:28:00.811724Z", + "iopub.status.idle": "2024-07-26T02:28:00.817373Z", + "shell.execute_reply": "2024-07-26T02:28:00.816800Z" } }, "outputs": [ @@ -293,10 +293,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.617092Z", - "iopub.status.busy": "2024-07-23T22:30:08.616656Z", - "iopub.status.idle": "2024-07-23T22:30:08.621788Z", - "shell.execute_reply": "2024-07-23T22:30:08.621187Z" + "iopub.execute_input": "2024-07-26T02:28:00.819712Z", + "iopub.status.busy": "2024-07-26T02:28:00.819385Z", + "iopub.status.idle": "2024-07-26T02:28:00.824255Z", + "shell.execute_reply": "2024-07-26T02:28:00.823711Z" } }, "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 f4fcb3dc8f1c31c46283aeaa0427450087e2c0a1..92f4673040c1e3bc2ff5565270fd3e2c70a6f571 100644 GIT binary patch literal 53241 zcmdqJby!s4+BZ6sf=Eb+ij;JNNH<6fAl)h5A&qnk3P^{9z#!5{Hv-ZE(%s$Nb)Lcf z?(@Fq+uzyy`|DiSxh@A`t(mo+_0)a;;+_zBSqY2>&mKS^5Dci~YefhIxfTLJqCmX| 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Ux*lW|Q}9Q9mzGNEjw1p81-^)?cK`qY diff --git a/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/entanglement-forging.ipynb index 028592fd7..db65f6346 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": "2024-07-23T22:30:10.441838Z", - "iopub.status.busy": "2024-07-23T22:30:10.441633Z", - "iopub.status.idle": "2024-07-23T22:30:11.469580Z", - "shell.execute_reply": "2024-07-23T22:30:11.468954Z" + "iopub.execute_input": "2024-07-26T02:28:02.666817Z", + "iopub.status.busy": "2024-07-26T02:28:02.666314Z", + "iopub.status.idle": "2024-07-26T02:28:03.666587Z", + "shell.execute_reply": "2024-07-26T02:28:03.665971Z" } }, "outputs": [ @@ -36,7 +36,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Parsing /tmp/tmpfegb262g\n", + "Parsing /tmp/tmpjfp2fs73\n", "converged SCF energy = -75.6787887956314\n" ] }, @@ -59,7 +59,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "Overwritten attributes get_ovlp get_hcore of \n", + "Overwritten attributes get_hcore get_ovlp of \n", "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1284: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n", " warnings.warn(msg)\n" ] @@ -123,10 +123,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.472782Z", - "iopub.status.busy": "2024-07-23T22:30:11.472319Z", - "iopub.status.idle": "2024-07-23T22:30:11.476782Z", - "shell.execute_reply": "2024-07-23T22:30:11.476322Z" + "iopub.execute_input": "2024-07-26T02:28:03.670248Z", + "iopub.status.busy": "2024-07-26T02:28:03.669571Z", + "iopub.status.idle": "2024-07-26T02:28:03.674922Z", + "shell.execute_reply": "2024-07-26T02:28:03.674460Z" } }, "outputs": [], @@ -166,10 +166,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.479397Z", - "iopub.status.busy": "2024-07-23T22:30:11.478878Z", - "iopub.status.idle": "2024-07-23T22:30:11.482346Z", - "shell.execute_reply": "2024-07-23T22:30:11.481890Z" + "iopub.execute_input": "2024-07-26T02:28:03.678148Z", + "iopub.status.busy": "2024-07-26T02:28:03.677178Z", + "iopub.status.idle": "2024-07-26T02:28:03.681119Z", + "shell.execute_reply": "2024-07-26T02:28:03.680682Z" } }, "outputs": [], @@ -198,10 +198,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.484690Z", - "iopub.status.busy": "2024-07-23T22:30:11.484349Z", - "iopub.status.idle": "2024-07-23T22:30:11.617976Z", - "shell.execute_reply": "2024-07-23T22:30:11.617420Z" + "iopub.execute_input": "2024-07-26T02:28:03.683661Z", + "iopub.status.busy": "2024-07-26T02:28:03.683273Z", + "iopub.status.idle": "2024-07-26T02:28:03.808139Z", + "shell.execute_reply": "2024-07-26T02:28:03.807604Z" } }, "outputs": [ @@ -209,7 +209,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Energy at initialialization: -75.67794403659725\n" + "Energy at initialialization: -75.67794403659724\n" ] } ], @@ -236,10 +236,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.620396Z", - "iopub.status.busy": "2024-07-23T22:30:11.620183Z", - "iopub.status.idle": "2024-07-23T22:30:19.790133Z", - "shell.execute_reply": "2024-07-23T22:30:19.789617Z" + "iopub.execute_input": "2024-07-26T02:28:03.810866Z", + "iopub.status.busy": "2024-07-26T02:28:03.810417Z", + "iopub.status.idle": "2024-07-26T02:28:11.720965Z", + "shell.execute_reply": "2024-07-26T02:28:11.720427Z" } }, "outputs": [ @@ -251,10 +251,10 @@ " message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n", " success: False\n", " status: 1\n", - " fun: -75.68381564670884\n", - " x: [-1.603e-01 6.418e-03 ... 5.747e-02 -1.005e-01]\n", + " fun: -75.68381571652795\n", + " x: [-1.603e-01 6.421e-03 ... 5.747e-02 -1.005e-01]\n", " nit: 3\n", - " jac: [ 2.203e-04 9.948e-05 ... -4.748e-03 7.398e-03]\n", + " jac: [ 2.117e-04 1.094e-04 ... -4.741e-03 7.394e-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 31eb5be42..2e0c2e5d5 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": "2024-07-23T22:30:21.294628Z", - "iopub.status.busy": "2024-07-23T22:30:21.294436Z", - "iopub.status.idle": "2024-07-23T22:30:22.003429Z", - "shell.execute_reply": "2024-07-23T22:30:22.002837Z" + "iopub.execute_input": "2024-07-26T02:28:13.251912Z", + "iopub.status.busy": "2024-07-26T02:28:13.251407Z", + "iopub.status.idle": "2024-07-26T02:28:13.961285Z", + "shell.execute_reply": "2024-07-26T02:28:13.960686Z" } }, "outputs": [ @@ -41,8 +41,8 @@ "text/plain": [ "FermionOperator({\n", " (cre_a(3), des_a(0)): -0.25,\n", - " (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n", - " (cre_a(0), des_a(3)): 0.5\n", + " (cre_a(0), des_a(3)): 0.5,\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": "2024-07-23T22:30:22.006018Z", - "iopub.status.busy": "2024-07-23T22:30:22.005624Z", - "iopub.status.idle": "2024-07-23T22:30:22.009684Z", - "shell.execute_reply": "2024-07-23T22:30:22.009052Z" + "iopub.execute_input": "2024-07-26T02:28:13.963872Z", + "iopub.status.busy": "2024-07-26T02:28:13.963415Z", + "iopub.status.idle": "2024-07-26T02:28:13.967296Z", + "shell.execute_reply": "2024-07-26T02:28:13.966761Z" } }, "outputs": [ { "data": { "text/plain": [ - "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})'" + "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+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": "2024-07-23T22:30:22.012057Z", - "iopub.status.busy": "2024-07-23T22:30:22.011691Z", - "iopub.status.idle": "2024-07-23T22:30:22.016259Z", - "shell.execute_reply": "2024-07-23T22:30:22.015780Z" + "iopub.execute_input": "2024-07-26T02:28:13.969462Z", + "iopub.status.busy": "2024-07-26T02:28:13.969270Z", + "iopub.status.idle": "2024-07-26T02:28:13.973551Z", + "shell.execute_reply": "2024-07-26T02:28:13.972972Z" } }, "outputs": [ @@ -121,17 +121,17 @@ "data": { "text/plain": [ "FermionOperator({\n", - " (cre_a(3), des_a(0), 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)): -0.5,\n", - " (cre_a(0), des_a(3)): 1,\n", - " (cre_b(2)): 0-0.25j,\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(3), des_a(0)): -0.5,\n", + " (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n", + " (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n", " (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n", " (des_a(3), des_b(3)): 0.0625,\n", + " (cre_a(0), des_a(3)): 1,\n", " (cre_a(3), des_a(0), 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_b(2)): 0-0.25j,\n", + " (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125\n", "})" ] }, @@ -170,10 +170,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.018459Z", - "iopub.status.busy": "2024-07-23T22:30:22.018101Z", - "iopub.status.idle": "2024-07-23T22:30:22.022108Z", - "shell.execute_reply": "2024-07-23T22:30:22.021630Z" + "iopub.execute_input": "2024-07-26T02:28:13.975920Z", + "iopub.status.busy": "2024-07-26T02:28:13.975556Z", + "iopub.status.idle": "2024-07-26T02:28:13.979469Z", + "shell.execute_reply": "2024-07-26T02:28:13.978866Z" } }, "outputs": [ @@ -181,17 +181,17 @@ "data": { "text/plain": [ "FermionOperator({\n", - " (cre_a(3), des_a(0), cre_b(2)): -1,\n", " (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n", - " (cre_a(3), des_a(0)): 0+3j,\n", - " (cre_a(0), des_a(3)): 0-6j,\n", - " (cre_b(2)): -5,\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(3), des_a(0)): 0+3j,\n", + " (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n", + " (cre_a(3), des_a(0), cre_b(2)): -1,\n", " (cre_a(0), des_a(3), cre_b(2)): 2,\n", " (des_a(3), des_b(3)): 0-1.25j,\n", + " (cre_a(0), des_a(3)): 0-6j,\n", " (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n", - " (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j\n", + " (cre_b(2)): -5,\n", + " (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j\n", "})" ] }, @@ -220,10 +220,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.024318Z", - "iopub.status.busy": "2024-07-23T22:30:22.023961Z", - "iopub.status.idle": "2024-07-23T22:30:22.027846Z", - "shell.execute_reply": "2024-07-23T22:30:22.027367Z" + "iopub.execute_input": "2024-07-26T02:28:13.981898Z", + "iopub.status.busy": "2024-07-26T02:28:13.981503Z", + "iopub.status.idle": "2024-07-26T02:28:13.985220Z", + "shell.execute_reply": "2024-07-26T02:28:13.984710Z" } }, "outputs": [ @@ -231,15 +231,15 @@ "data": { "text/plain": [ "FermionOperator({\n", + " (cre_b(2)): -5,\n", + " (cre_b(2), cre_a(3), des_a(0)): -1,\n", + " (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n", " (cre_a(3), des_a(0)): 0+3j,\n", + " (des_b(3), des_a(3)): 0+1.25j,\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", " (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n", - " (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n", - " (des_b(3), des_a(3)): 0+1.25j,\n", - " (cre_b(2)): -5,\n", " (cre_b(2), cre_a(0), des_a(3)): 2,\n", - " (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n", - " (cre_b(2), cre_a(3), des_a(0)): -1,\n", " (cre_a(0), des_a(3)): 0-6j\n", "})" ] @@ -265,10 +265,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.030155Z", - "iopub.status.busy": "2024-07-23T22:30:22.029817Z", - "iopub.status.idle": "2024-07-23T22:30:22.033187Z", - "shell.execute_reply": "2024-07-23T22:30:22.032711Z" + "iopub.execute_input": "2024-07-26T02:28:13.987580Z", + "iopub.status.busy": "2024-07-26T02:28:13.987228Z", + "iopub.status.idle": "2024-07-26T02:28:13.990215Z", + "shell.execute_reply": "2024-07-26T02:28:13.989643Z" } }, "outputs": [ @@ -298,10 +298,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.035371Z", - "iopub.status.busy": "2024-07-23T22:30:22.035029Z", - "iopub.status.idle": "2024-07-23T22:30:22.039211Z", - "shell.execute_reply": "2024-07-23T22:30:22.038622Z" + "iopub.execute_input": "2024-07-26T02:28:13.992439Z", + "iopub.status.busy": "2024-07-26T02:28:13.992092Z", + "iopub.status.idle": "2024-07-26T02:28:13.996004Z", + "shell.execute_reply": "2024-07-26T02:28:13.995424Z" } }, "outputs": [ @@ -341,21 +341,21 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.058742Z", - "iopub.status.busy": "2024-07-23T22:30:22.058303Z", - "iopub.status.idle": "2024-07-23T22:30:22.064306Z", - "shell.execute_reply": "2024-07-23T22:30:22.063743Z" + "iopub.execute_input": "2024-07-26T02:28:14.012112Z", + "iopub.status.busy": "2024-07-26T02:28:14.011558Z", + "iopub.status.idle": "2024-07-26T02:28:14.017998Z", + "shell.execute_reply": "2024-07-26T02:28:14.017421Z" } }, "outputs": [ { "data": { "text/plain": [ - "array([0. +0.j , 0. +0.j ,\n", - " 0. +0.j , 0. +0.j ,\n", - " 0.16281661-0.05823675j, 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", + " -0.08987947+0.18917418j, 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": "2024-07-23T22:30:22.066614Z", - "iopub.status.busy": "2024-07-23T22:30:22.066266Z", - "iopub.status.idle": "2024-07-23T22:30:22.076861Z", - "shell.execute_reply": "2024-07-23T22:30:22.076410Z" + "iopub.execute_input": "2024-07-26T02:28:14.020214Z", + "iopub.status.busy": "2024-07-26T02:28:14.020023Z", + "iopub.status.idle": "2024-07-26T02:28:14.031249Z", + "shell.execute_reply": "2024-07-26T02:28:14.030746Z" } }, "outputs": [ diff --git a/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/lucj.ipynb index 755274727..81d4a80c1 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": "2024-07-23T22:30:23.713569Z", - "iopub.status.busy": "2024-07-23T22:30:23.713354Z", - "iopub.status.idle": "2024-07-23T22:30:24.698161Z", - "shell.execute_reply": "2024-07-23T22:30:24.697579Z" + "iopub.execute_input": "2024-07-26T02:28:15.868064Z", + "iopub.status.busy": "2024-07-26T02:28:15.867605Z", + "iopub.status.idle": "2024-07-26T02:28:16.858119Z", + "shell.execute_reply": "2024-07-26T02:28:16.857470Z" } }, "outputs": [ @@ -27,22 +27,22 @@ "name": "stdout", "output_type": "stream", "text": [ - "converged SCF energy = -77.8266321248745\n" + "converged SCF energy = -77.8266321248744\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Parsing /tmp/tmpz0beoxj6\n", - "converged SCF energy = -77.8266321248745\n" + "Parsing /tmp/tmpvt8_j8d0\n", + "converged SCF energy = -77.8266321248744\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "CASCI E = -77.8742165643863 E(CI) = -4.02122442107773 S^2 = 0.0000000\n" + "CASCI E = -77.8742165643862 E(CI) = -4.02122442107772 S^2 = 0.0000000\n" ] }, { @@ -57,7 +57,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "Overwritten attributes get_ovlp get_hcore of \n", + "Overwritten attributes get_hcore get_ovlp of \n", "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1284: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n", " warnings.warn(msg)\n" ] @@ -121,10 +121,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:24.702317Z", - "iopub.status.busy": "2024-07-23T22:30:24.701238Z", - "iopub.status.idle": "2024-07-23T22:30:24.772193Z", - "shell.execute_reply": "2024-07-23T22:30:24.771643Z" + "iopub.execute_input": "2024-07-26T02:28:16.861236Z", + "iopub.status.busy": "2024-07-26T02:28:16.860755Z", + "iopub.status.idle": "2024-07-26T02:28:16.930228Z", + "shell.execute_reply": "2024-07-26T02:28:16.929667Z" } }, "outputs": [ @@ -132,14 +132,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -77.87421536374029 E_corr = -0.04758323886585769\n" + "E(CCSD) = -77.87421536374026 E_corr = -0.04758323886585455\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Energy at initialization: -77.87160024816289\n" + "Energy at initialization: -77.8716002481628\n" ] } ], @@ -180,10 +180,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:24.775553Z", - "iopub.status.busy": "2024-07-23T22:30:24.775131Z", - "iopub.status.idle": "2024-07-23T22:31:35.553547Z", - "shell.execute_reply": "2024-07-23T22:31:35.552955Z" + "iopub.execute_input": "2024-07-26T02:28:16.933028Z", + "iopub.status.busy": "2024-07-26T02:28:16.932809Z", + "iopub.status.idle": "2024-07-26T02:29:29.616723Z", + "shell.execute_reply": "2024-07-26T02:29:29.616068Z" } }, "outputs": [ @@ -195,10 +195,10 @@ " message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n", " success: False\n", " status: 1\n", - " fun: -77.87387391273364\n", - " x: [-1.153e+00 -3.421e-04 ... 2.640e-04 1.286e-01]\n", + " fun: -77.87387392307558\n", + " x: [-1.153e+00 -2.688e-04 ... 1.579e-04 1.286e-01]\n", " nit: 10\n", - " jac: [ 4.832e-05 2.842e-05 ... 1.847e-05 7.105e-06]\n", + " jac: [-4.832e-05 -2.842e-05 ... 1.421e-05 8.527e-06]\n", " nfev: 949\n", " njev: 13\n", " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n" @@ -242,10 +242,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:31:35.556779Z", - "iopub.status.busy": "2024-07-23T22:31:35.556260Z", - "iopub.status.idle": "2024-07-23T22:32:00.294511Z", - "shell.execute_reply": "2024-07-23T22:32:00.293843Z" + "iopub.execute_input": "2024-07-26T02:29:29.620036Z", + "iopub.status.busy": "2024-07-26T02:29:29.619737Z", + "iopub.status.idle": "2024-07-26T02:29:53.702473Z", + "shell.execute_reply": "2024-07-26T02:29:53.701826Z" } }, "outputs": [ @@ -257,10 +257,10 @@ " message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n", " success: True\n", " status: 0\n", - " fun: -77.87363426385984\n", - " x: [-1.153e+00 -1.065e-04 ... 3.519e-02 2.561e-01]\n", + " fun: -77.87363426271249\n", + " x: [-1.152e+00 -9.220e-05 ... 3.522e-02 2.561e-01]\n", " nit: 5\n", - " jac: [-5.400e-05 5.684e-06 ... 8.527e-06 -1.421e-06]\n", + " jac: [ 2.558e-05 -1.847e-05 ... 2.842e-06 4.263e-06]\n", " nfev: 329\n", " njev: 7\n", " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n" @@ -305,10 +305,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:00.297658Z", - "iopub.status.busy": "2024-07-23T22:32:00.297420Z", - "iopub.status.idle": "2024-07-23T22:32:13.812026Z", - "shell.execute_reply": "2024-07-23T22:32:13.811400Z" + "iopub.execute_input": "2024-07-26T02:29:53.705778Z", + "iopub.status.busy": "2024-07-26T02:29:53.705338Z", + "iopub.status.idle": "2024-07-26T02:30:11.544785Z", + "shell.execute_reply": "2024-07-26T02:30:11.544146Z" } }, "outputs": [ @@ -319,29 +319,34 @@ "Number of parameters: 46\n", " message: Convergence: Norm of projected gradient <= gtol.\n", " success: True\n", - " fun: -77.87363432121501\n", - " x: [-1.152e+00 -6.643e-05 ... 3.506e-02 2.559e-01]\n", - " nit: 3\n", - " jac: [ 2.682e-07 -1.744e-07 ... -9.060e-08 -1.031e-07]\n", - " nfev: 535\n", - " njev: 4\n", - " nlinop: 351\n", + " fun: -77.87363433452647\n", + " x: [-1.151e+00 -3.666e-04 ... 3.458e-02 2.561e-01]\n", + " nit: 4\n", + " jac: [ 2.547e-06 -7.273e-08 ... 1.303e-07 9.150e-08]\n", + " nfev: 673\n", + " njev: 5\n", + " nlinop: 443\n", "\n", "Iteration 1\n", - " Energy: -77.87363110240167\n", - " Norm of gradient: 0.0014977444274153814\n", - " Regularization hyperparameter: 0.0028719078748818665\n", - " Variation hyperparameter: 0.9994066917073114\n", + " Energy: -77.87362949017803\n", + " Norm of gradient: 0.0017032385482687053\n", + " Regularization hyperparameter: 0.0013279102867002953\n", + " Variation hyperparameter: 0.9872670159807396\n", "Iteration 2\n", - " Energy: -77.87363431632271\n", - " Norm of gradient: 3.99771668928647e-05\n", - " Regularization hyperparameter: 0.0028683282556405307\n", - " Variation hyperparameter: 0.9994067007116887\n", + " Energy: -77.8736342750619\n", + " Norm of gradient: 8.499606167408255e-05\n", + " Regularization hyperparameter: 0.0046215181009085105\n", + " Variation hyperparameter: 0.9877849924912689\n", "Iteration 3\n", - " Energy: -77.87363432121501\n", - " Norm of gradient: 4.89611684282813e-06\n", - " Regularization hyperparameter: 0.0028683282556405307\n", - " Variation hyperparameter: 0.9994067007116887\n" + " Energy: -77.87363433061991\n", + " Norm of gradient: 1.1990422739119957e-05\n", + " Regularization hyperparameter: 0.003930328386391183\n", + " Variation hyperparameter: 0.9876996043582875\n", + "Iteration 4\n", + " Energy: -77.87363433452647\n", + " Norm of gradient: 7.76635632092199e-06\n", + " Regularization hyperparameter: 0.003930441707468886\n", + " Variation hyperparameter: 0.9876996345535829\n" ] } ], diff --git a/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb b/dev/.doctrees/nbsphinx/how-to-guides/qiskit-circuits.ipynb index be7b1696b..87008f68c 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": "2024-07-23T22:32:15.386313Z", - "iopub.status.busy": "2024-07-23T22:32:15.385953Z", - "iopub.status.idle": "2024-07-23T22:32:16.066835Z", - "shell.execute_reply": "2024-07-23T22:32:16.066273Z" + "iopub.execute_input": "2024-07-26T02:30:13.105612Z", + "iopub.status.busy": "2024-07-26T02:30:13.105408Z", + "iopub.status.idle": "2024-07-26T02:30:13.799010Z", + "shell.execute_reply": "2024-07-26T02:30:13.798335Z" } }, "outputs": [], @@ -54,10 +54,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.069840Z", - "iopub.status.busy": "2024-07-23T22:32:16.069462Z", - "iopub.status.idle": "2024-07-23T22:32:16.650549Z", - "shell.execute_reply": "2024-07-23T22:32:16.649988Z" + "iopub.execute_input": "2024-07-26T02:30:13.801944Z", + "iopub.status.busy": "2024-07-26T02:30:13.801459Z", + "iopub.status.idle": "2024-07-26T02:30:14.376803Z", + "shell.execute_reply": "2024-07-26T02:30:14.376147Z" } }, "outputs": [ @@ -103,10 +103,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.653328Z", - "iopub.status.busy": "2024-07-23T22:32:16.652718Z", - "iopub.status.idle": "2024-07-23T22:32:16.862997Z", - "shell.execute_reply": "2024-07-23T22:32:16.862493Z" + "iopub.execute_input": "2024-07-26T02:30:14.379742Z", + "iopub.status.busy": "2024-07-26T02:30:14.379071Z", + "iopub.status.idle": "2024-07-26T02:30:14.587465Z", + "shell.execute_reply": "2024-07-26T02:30:14.586855Z" } }, "outputs": [ @@ -160,17 +160,17 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.865475Z", - "iopub.status.busy": "2024-07-23T22:32:16.865066Z", - "iopub.status.idle": "2024-07-23T22:32:16.869263Z", - "shell.execute_reply": "2024-07-23T22:32:16.868657Z" + "iopub.execute_input": "2024-07-26T02:30:14.590119Z", + "iopub.status.busy": "2024-07-26T02:30:14.589743Z", + "iopub.status.idle": "2024-07-26T02:30:14.594084Z", + "shell.execute_reply": "2024-07-26T02:30:14.593496Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -195,17 +195,17 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.871684Z", - "iopub.status.busy": "2024-07-23T22:32:16.871315Z", - "iopub.status.idle": "2024-07-23T22:32:16.875891Z", - "shell.execute_reply": "2024-07-23T22:32:16.875323Z" + "iopub.execute_input": "2024-07-26T02:30:14.596340Z", + "iopub.status.busy": "2024-07-26T02:30:14.596007Z", + "iopub.status.idle": "2024-07-26T02:30:14.601165Z", + "shell.execute_reply": "2024-07-26T02:30:14.600542Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 5, @@ -242,17 +242,17 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.878072Z", - "iopub.status.busy": "2024-07-23T22:32:16.877882Z", - "iopub.status.idle": "2024-07-23T22:32:16.882568Z", - "shell.execute_reply": "2024-07-23T22:32:16.881979Z" + "iopub.execute_input": "2024-07-26T02:30:14.603599Z", + "iopub.status.busy": "2024-07-26T02:30:14.603258Z", + "iopub.status.idle": "2024-07-26T02:30:14.607629Z", + "shell.execute_reply": "2024-07-26T02:30:14.607164Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 6, @@ -279,17 +279,17 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.884857Z", - "iopub.status.busy": "2024-07-23T22:32:16.884505Z", - "iopub.status.idle": "2024-07-23T22:32:16.888717Z", - "shell.execute_reply": "2024-07-23T22:32:16.888158Z" + "iopub.execute_input": "2024-07-26T02:30:14.610020Z", + "iopub.status.busy": "2024-07-26T02:30:14.609581Z", + "iopub.status.idle": "2024-07-26T02:30:14.613798Z", + "shell.execute_reply": "2024-07-26T02:30:14.613284Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -315,17 +315,17 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.891073Z", - "iopub.status.busy": "2024-07-23T22:32:16.890722Z", - "iopub.status.idle": "2024-07-23T22:32:16.895208Z", - "shell.execute_reply": "2024-07-23T22:32:16.894615Z" + "iopub.execute_input": "2024-07-26T02:30:14.616078Z", + "iopub.status.busy": "2024-07-26T02:30:14.615712Z", + "iopub.status.idle": "2024-07-26T02:30:14.619953Z", + "shell.execute_reply": "2024-07-26T02:30:14.619425Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -354,17 +354,17 @@ "execution_count": 9, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.897386Z", - "iopub.status.busy": "2024-07-23T22:32:16.897047Z", - "iopub.status.idle": "2024-07-23T22:32:16.902145Z", - "shell.execute_reply": "2024-07-23T22:32:16.901561Z" + "iopub.execute_input": "2024-07-26T02:30:14.622239Z", + "iopub.status.busy": "2024-07-26T02:30:14.621889Z", + "iopub.status.idle": "2024-07-26T02:30:14.626701Z", + "shell.execute_reply": "2024-07-26T02:30:14.626187Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -391,17 +391,17 @@ "execution_count": 10, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.904481Z", - "iopub.status.busy": "2024-07-23T22:32:16.904024Z", - "iopub.status.idle": "2024-07-23T22:32:16.909576Z", - "shell.execute_reply": "2024-07-23T22:32:16.908973Z" + "iopub.execute_input": "2024-07-26T02:30:14.628993Z", + "iopub.status.busy": "2024-07-26T02:30:14.628653Z", + "iopub.status.idle": "2024-07-26T02:30:14.633769Z", + "shell.execute_reply": "2024-07-26T02:30:14.633234Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 10, @@ -428,17 +428,17 @@ "execution_count": 11, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.911801Z", - "iopub.status.busy": "2024-07-23T22:32:16.911477Z", - "iopub.status.idle": "2024-07-23T22:32:16.917232Z", - "shell.execute_reply": "2024-07-23T22:32:16.916663Z" + "iopub.execute_input": "2024-07-26T02:30:14.636233Z", + "iopub.status.busy": "2024-07-26T02:30:14.635875Z", + "iopub.status.idle": "2024-07-26T02:30:14.641564Z", + "shell.execute_reply": "2024-07-26T02:30:14.640963Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "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 23b5c4e3d..d3948b6df 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": "2024-07-23T22:32:18.773681Z", - "iopub.status.busy": "2024-07-23T22:32:18.773119Z", - "iopub.status.idle": "2024-07-23T22:32:19.462158Z", - "shell.execute_reply": "2024-07-23T22:32:19.461618Z" + "iopub.execute_input": "2024-07-26T02:30:16.706593Z", + "iopub.status.busy": "2024-07-26T02:30:16.706395Z", + "iopub.status.idle": "2024-07-26T02:30:17.395098Z", + "shell.execute_reply": "2024-07-26T02:30:17.394426Z" } }, "outputs": [], @@ -71,10 +71,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:19.466278Z", - "iopub.status.busy": "2024-07-23T22:32:19.465485Z", - "iopub.status.idle": "2024-07-23T22:32:19.531459Z", - "shell.execute_reply": "2024-07-23T22:32:19.530938Z" + "iopub.execute_input": "2024-07-26T02:30:17.398117Z", + "iopub.status.busy": "2024-07-26T02:30:17.397631Z", + "iopub.status.idle": "2024-07-26T02:30:17.460268Z", + "shell.execute_reply": "2024-07-26T02:30:17.459744Z" } }, "outputs": [ @@ -154,10 +154,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:19.534110Z", - "iopub.status.busy": "2024-07-23T22:32:19.533726Z", - "iopub.status.idle": "2024-07-23T22:32:19.871199Z", - "shell.execute_reply": "2024-07-23T22:32:19.870642Z" + "iopub.execute_input": "2024-07-26T02:30:17.462996Z", + "iopub.status.busy": "2024-07-26T02:30:17.462512Z", + "iopub.status.idle": "2024-07-26T02:30:17.765992Z", + "shell.execute_reply": "2024-07-26T02:30:17.765375Z" } }, "outputs": [ @@ -165,7 +165,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "converged SCF energy = -108.835236570775\n" + "converged SCF energy = -108.835236570774\n" ] }, { @@ -174,7 +174,7 @@ "text": [ "norb = 14\n", "nelec = (3, 3)\n", - "E(CCSD) = -108.9630419334855 E_corr = -0.1278053627110065\n" + "E(CCSD) = -108.9630419334854 E_corr = -0.1278053627110061\n" ] }, { @@ -185,9 +185,9 @@ " '0000000001110000000000000111': 10,\n", " '0000000000011100000000011100': 10,\n", " '0000000001011000000000010110': 9,\n", + " '0100000000100100000000000111': 5,\n", " '0001000001010000000000000111': 5,\n", " '0000000001011000100000000110': 4,\n", - " '0100000001001000000000000111': 4,\n", " '0000000000011100100000001100': 3,\n", " '0010000000011000000000010110': 3}" ] @@ -269,10 +269,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:19.873743Z", - "iopub.status.busy": "2024-07-23T22:32:19.873357Z", - "iopub.status.idle": "2024-07-23T22:32:20.412801Z", - "shell.execute_reply": "2024-07-23T22:32:20.412179Z" + "iopub.execute_input": "2024-07-26T02:30:17.768469Z", + "iopub.status.busy": "2024-07-26T02:30:17.768264Z", + "iopub.status.idle": "2024-07-26T02:30:18.302579Z", + "shell.execute_reply": "2024-07-26T02:30:18.301995Z" } }, "outputs": [ @@ -287,7 +287,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "SCF energy = -75.3484557058996\n" + "SCF energy = -75.3484557074732\n" ] }, { @@ -305,7 +305,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(UCCSD) = -75.45619739146407 E_corr = -0.1077416855645157\n" + "E(UCCSD) = -75.4561973911871 E_corr = -0.1077416837138922\n" ] }, { diff --git a/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb b/dev/.doctrees/nbsphinx/tutorials/double-factorized-trotter.ipynb index c4bf1261c..4c8566e87 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": "2024-07-23T22:32:22.159866Z", - "iopub.status.busy": "2024-07-23T22:32:22.159677Z", - "iopub.status.idle": "2024-07-23T22:32:22.981232Z", - "shell.execute_reply": "2024-07-23T22:32:22.980641Z" + "iopub.execute_input": "2024-07-26T02:30:20.066089Z", + "iopub.status.busy": "2024-07-26T02:30:20.065808Z", + "iopub.status.idle": "2024-07-26T02:30:20.892018Z", + "shell.execute_reply": "2024-07-26T02:30:20.891393Z" } }, "outputs": [ @@ -29,7 +29,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "converged SCF energy = -108.464957764796\n" + "converged SCF energy = -108.464957764795\n" ] }, { @@ -80,10 +80,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:22.985729Z", - "iopub.status.busy": "2024-07-23T22:32:22.984358Z", - "iopub.status.idle": "2024-07-23T22:32:22.989085Z", - "shell.execute_reply": "2024-07-23T22:32:22.988617Z" + "iopub.execute_input": "2024-07-26T02:30:20.896601Z", + "iopub.status.busy": "2024-07-26T02:30:20.895255Z", + "iopub.status.idle": "2024-07-26T02:30:20.900547Z", + "shell.execute_reply": "2024-07-26T02:30:20.900092Z" } }, "outputs": [], @@ -106,10 +106,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:22.991478Z", - "iopub.status.busy": "2024-07-23T22:32:22.991139Z", - "iopub.status.idle": "2024-07-23T22:32:22.996007Z", - "shell.execute_reply": "2024-07-23T22:32:22.995504Z" + "iopub.execute_input": "2024-07-26T02:30:20.903017Z", + "iopub.status.busy": "2024-07-26T02:30:20.902549Z", + "iopub.status.idle": "2024-07-26T02:30:20.907438Z", + "shell.execute_reply": "2024-07-26T02:30:20.906956Z" } }, "outputs": [ @@ -172,10 +172,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:22.998227Z", - "iopub.status.busy": "2024-07-23T22:32:22.997926Z", - "iopub.status.idle": "2024-07-23T22:32:23.002168Z", - "shell.execute_reply": "2024-07-23T22:32:23.001677Z" + "iopub.execute_input": "2024-07-26T02:30:20.909749Z", + "iopub.status.busy": "2024-07-26T02:30:20.909425Z", + "iopub.status.idle": "2024-07-26T02:30:20.913584Z", + "shell.execute_reply": "2024-07-26T02:30:20.913107Z" } }, "outputs": [ @@ -208,10 +208,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.004457Z", - "iopub.status.busy": "2024-07-23T22:32:23.004124Z", - "iopub.status.idle": "2024-07-23T22:32:23.007905Z", - "shell.execute_reply": "2024-07-23T22:32:23.007438Z" + "iopub.execute_input": "2024-07-26T02:30:20.915897Z", + "iopub.status.busy": "2024-07-26T02:30:20.915541Z", + "iopub.status.idle": "2024-07-26T02:30:20.919486Z", + "shell.execute_reply": "2024-07-26T02:30:20.918990Z" } }, "outputs": [ @@ -242,10 +242,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.010433Z", - "iopub.status.busy": "2024-07-23T22:32:23.009955Z", - "iopub.status.idle": "2024-07-23T22:32:23.028692Z", - "shell.execute_reply": "2024-07-23T22:32:23.028215Z" + "iopub.execute_input": "2024-07-26T02:30:20.921553Z", + "iopub.status.busy": "2024-07-26T02:30:20.921363Z", + "iopub.status.idle": "2024-07-26T02:30:20.944195Z", + "shell.execute_reply": "2024-07-26T02:30:20.943703Z" } }, "outputs": [ @@ -253,7 +253,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Maximum error in a tensor entry: 0.0366854173098351\n" + "Maximum error in a tensor entry: 0.03668541730983277\n" ] } ], @@ -302,10 +302,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.031049Z", - "iopub.status.busy": "2024-07-23T22:32:23.030662Z", - "iopub.status.idle": "2024-07-23T22:32:23.034937Z", - "shell.execute_reply": "2024-07-23T22:32:23.034466Z" + "iopub.execute_input": "2024-07-26T02:30:20.946610Z", + "iopub.status.busy": "2024-07-26T02:30:20.946258Z", + "iopub.status.idle": "2024-07-26T02:30:20.950335Z", + "shell.execute_reply": "2024-07-26T02:30:20.949843Z" } }, "outputs": [], @@ -360,10 +360,10 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.037172Z", - "iopub.status.busy": "2024-07-23T22:32:23.036832Z", - "iopub.status.idle": "2024-07-23T22:32:23.040500Z", - "shell.execute_reply": "2024-07-23T22:32:23.039904Z" + "iopub.execute_input": "2024-07-26T02:30:20.952435Z", + "iopub.status.busy": "2024-07-26T02:30:20.952242Z", + "iopub.status.idle": "2024-07-26T02:30:20.955825Z", + "shell.execute_reply": "2024-07-26T02:30:20.955345Z" } }, "outputs": [], @@ -400,10 +400,10 @@ "execution_count": 9, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.042799Z", - "iopub.status.busy": "2024-07-23T22:32:23.042440Z", - "iopub.status.idle": "2024-07-23T22:32:23.100212Z", - "shell.execute_reply": "2024-07-23T22:32:23.099662Z" + "iopub.execute_input": "2024-07-26T02:30:20.958140Z", + "iopub.status.busy": "2024-07-26T02:30:20.957721Z", + "iopub.status.idle": "2024-07-26T02:30:21.015611Z", + "shell.execute_reply": "2024-07-26T02:30:21.014968Z" } }, "outputs": [], @@ -439,10 +439,10 @@ "execution_count": 10, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.104134Z", - "iopub.status.busy": "2024-07-23T22:32:23.103026Z", - "iopub.status.idle": "2024-07-23T22:32:23.153546Z", - "shell.execute_reply": "2024-07-23T22:32:23.153026Z" + "iopub.execute_input": "2024-07-26T02:30:21.019706Z", + "iopub.status.busy": "2024-07-26T02:30:21.018540Z", + "iopub.status.idle": "2024-07-26T02:30:21.069515Z", + "shell.execute_reply": "2024-07-26T02:30:21.068997Z" } }, "outputs": [ @@ -450,7 +450,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9402435387541026\n" + "Fidelity of Trotter-evolved state with exact state: 0.9402387920714972\n" ] } ], @@ -480,10 +480,10 @@ "execution_count": 11, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.155729Z", - "iopub.status.busy": "2024-07-23T22:32:23.155540Z", - "iopub.status.idle": "2024-07-23T22:32:23.369803Z", - "shell.execute_reply": "2024-07-23T22:32:23.369296Z" + "iopub.execute_input": "2024-07-26T02:30:21.072027Z", + "iopub.status.busy": "2024-07-26T02:30:21.071666Z", + "iopub.status.idle": "2024-07-26T02:30:21.284884Z", + "shell.execute_reply": "2024-07-26T02:30:21.284270Z" } }, "outputs": [ @@ -491,7 +491,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9985212861540083\n" + "Fidelity of Trotter-evolved state with exact state: 0.9985210983147164\n" ] } ], @@ -521,10 +521,10 @@ "execution_count": 12, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.372021Z", - "iopub.status.busy": "2024-07-23T22:32:23.371832Z", - "iopub.status.idle": "2024-07-23T22:32:23.503661Z", - "shell.execute_reply": "2024-07-23T22:32:23.503137Z" + "iopub.execute_input": "2024-07-26T02:30:21.287479Z", + "iopub.status.busy": "2024-07-26T02:30:21.287091Z", + "iopub.status.idle": "2024-07-26T02:30:21.414910Z", + "shell.execute_reply": "2024-07-26T02:30:21.414289Z" } }, "outputs": [ @@ -532,7 +532,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9985212861540445\n" + "Fidelity of Trotter-evolved state with exact state: 0.9985210983146647\n" ] } ], @@ -563,10 +563,10 @@ "execution_count": 13, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.506087Z", - "iopub.status.busy": "2024-07-23T22:32:23.505870Z", - "iopub.status.idle": "2024-07-23T22:32:23.609736Z", - "shell.execute_reply": "2024-07-23T22:32:23.609161Z" + "iopub.execute_input": "2024-07-26T02:30:21.417207Z", + "iopub.status.busy": "2024-07-26T02:30:21.417017Z", + "iopub.status.idle": "2024-07-26T02:30:21.518377Z", + "shell.execute_reply": "2024-07-26T02:30:21.517863Z" } }, "outputs": [ @@ -574,7 +574,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9996731164193019\n" + "Fidelity of Trotter-evolved state with exact state: 0.9996731173230704\n" ] } ], diff --git a/dev/.doctrees/tutorials/double-factorized-trotter.doctree b/dev/.doctrees/tutorials/double-factorized-trotter.doctree index 63f869a684fb3941892e1f6b08a7e2bf57a8b240..246cf1ed0ebdbfabfe77276eddd548fdee24ede2 100644 GIT binary patch delta 693 zcmZ3ml6l!mW|julsk1k-@JTS5PWG3SoU9{Z17$TyoB^{s!KB{gdB-^?3rMwqc@mS? zN*O>{o4-k!yD>UW)=M-OHZnKove7RnO0}Dk!5%v$!>$J`&I}ZvydklQv2^mnP@T!) zNrqsNkCI}O7bLM`h{{h^OO9nUnS3DGkO!y}W)xU}A0*H^rEyB_lnnW-V7AGOVH%SU zgh_68NO^0|V{Bn=X=Gq-Xkuw@G!9vWtVRnMKIP8SV$xoiY2WBT&2xzAy z!et;Kgx}9hHr(X2`TpJ$>>TFCM#cu_1|Uy|AUNE|o+3C%7EfMq6iExnr^}DeL8$aT N;ST3)o^^ta2LQ!P+L-_V delta 613 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Ux*lW|Q}9Q9mzGNEjw1p81-^)?cK`qY diff --git a/dev/_modules/ffsim/hamiltonians/diagonal_coulomb_hamiltonian.html b/dev/_modules/ffsim/hamiltonians/diagonal_coulomb_hamiltonian.html index 0763675ba..681fb37b1 100644 --- a/dev/_modules/ffsim/hamiltonians/diagonal_coulomb_hamiltonian.html +++ b/dev/_modules/ffsim/hamiltonians/diagonal_coulomb_hamiltonian.html @@ -286,6 +286,7 @@

Source code for ffsim.hamiltonians.diagonal_coulomb_hamiltonian

import numpy as np import scipy.linalg +from pyscf.fci.direct_uhf import make_hdiag from scipy.sparse.linalg import LinearOperator from ffsim._lib import FermionOperator @@ -449,7 +450,27 @@

Source code for ffsim.hamiltonians.diagonal_coulomb_hamiltonian

diag_coulomb_mats=diag_coulomb_mats, constant=constant, )
-
+ + + def _diag_(self, norb: int, nelec: tuple[int, int]) -> np.ndarray: + """Return the diagonal entries of the Hamiltonian.""" + if np.iscomplexobj(self.one_body_tensor): + raise NotImplementedError( + "Computing diagonal of complex diagonal Coulomb Hamiltonian is not yet " + "supported." + ) + two_body_tensor_aa = np.zeros((self.norb, self.norb, self.norb, self.norb)) + two_body_tensor_ab = np.zeros((self.norb, self.norb, self.norb, self.norb)) + diag_coulomb_mat_aa, diag_coulomb_mat_ab = self.diag_coulomb_mats + for p, q in itertools.product(range(self.norb), repeat=2): + two_body_tensor_aa[p, p, q, q] = diag_coulomb_mat_aa[p, q] + two_body_tensor_ab[p, p, q, q] = diag_coulomb_mat_ab[p, q] + one_body_tensor = self.one_body_tensor + 0.5 * np.einsum( + "prqr", two_body_tensor_aa + ) + h1e = (one_body_tensor, one_body_tensor) + h2e = (two_body_tensor_aa, two_body_tensor_ab, two_body_tensor_aa) + return make_hdiag(h1e, h2e, norb=norb, nelec=nelec) + self.constant diff --git a/dev/_modules/ffsim/hamiltonians/molecular_hamiltonian.html b/dev/_modules/ffsim/hamiltonians/molecular_hamiltonian.html index 6636e5b82..e6455adf7 100644 --- a/dev/_modules/ffsim/hamiltonians/molecular_hamiltonian.html +++ b/dev/_modules/ffsim/hamiltonians/molecular_hamiltonian.html @@ -437,8 +437,9 @@

Source code for ffsim.hamiltonians.molecular_hamiltonian

if np.iscomplexobj(self.two_body_tensor) or np.iscomplexobj( self.one_body_tensor ): - raise ValueError( - "Computing diagonal of complex molecular Hamiltonian is not supported." + raise NotImplementedError( + "Computing diagonal of complex molecular Hamiltonian is not yet " + "supported." ) return ( make_hdiag(self.one_body_tensor, self.two_body_tensor, norb, nelec) diff --git a/dev/explanations/hamiltonians.html b/dev/explanations/hamiltonians.html index d98c451cc..5256b895d 100644 --- a/dev/explanations/hamiltonians.html +++ b/dev/explanations/hamiltonians.html @@ -378,7 +378,7 @@

Operator action via SciPy LinearOperators 
-np.float64(-99.55717072551607)
+np.float64(-99.55717072551532)

Time evolution by the Hamiltonian can be computed using expm_multiply:

@@ -396,7 +396,7 @@

Operator action via SciPy LinearOperators 
-/tmp/ipykernel_4307/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.
+/tmp/ipykernel_4333/2190712273.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)
diff --git a/dev/explanations/hamiltonians.ipynb b/dev/explanations/hamiltonians.ipynb index 56e0bc40e..8282ce9f7 100644 --- a/dev/explanations/hamiltonians.ipynb +++ b/dev/explanations/hamiltonians.ipynb @@ -33,10 +33,10 @@ "execution_count": 1, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.270902Z", - "iopub.status.busy": "2024-07-23T22:29:53.270549Z", - "iopub.status.idle": "2024-07-23T22:29:53.969006Z", - "shell.execute_reply": "2024-07-23T22:29:53.968480Z" + "iopub.execute_input": "2024-07-26T02:27:45.238211Z", + "iopub.status.busy": "2024-07-26T02:27:45.237751Z", + "iopub.status.idle": "2024-07-26T02:27:45.961675Z", + "shell.execute_reply": "2024-07-26T02:27:45.961129Z" } }, "outputs": [], @@ -68,10 +68,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.972028Z", - "iopub.status.busy": "2024-07-23T22:29:53.971484Z", - "iopub.status.idle": "2024-07-23T22:29:53.974689Z", - "shell.execute_reply": "2024-07-23T22:29:53.974202Z" + "iopub.execute_input": "2024-07-26T02:27:45.964595Z", + "iopub.status.busy": "2024-07-26T02:27:45.964162Z", + "iopub.status.idle": "2024-07-26T02:27:45.967271Z", + "shell.execute_reply": "2024-07-26T02:27:45.966700Z" } }, "outputs": [], @@ -99,10 +99,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.977172Z", - "iopub.status.busy": "2024-07-23T22:29:53.976721Z", - "iopub.status.idle": "2024-07-23T22:29:53.980011Z", - "shell.execute_reply": "2024-07-23T22:29:53.979539Z" + "iopub.execute_input": "2024-07-26T02:27:45.969667Z", + "iopub.status.busy": "2024-07-26T02:27:45.969315Z", + "iopub.status.idle": "2024-07-26T02:27:45.972641Z", + "shell.execute_reply": "2024-07-26T02:27:45.972143Z" } }, "outputs": [], @@ -127,10 +127,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.982364Z", - "iopub.status.busy": "2024-07-23T22:29:53.982032Z", - "iopub.status.idle": "2024-07-23T22:29:53.986769Z", - "shell.execute_reply": "2024-07-23T22:29:53.986237Z" + "iopub.execute_input": "2024-07-26T02:27:45.974822Z", + "iopub.status.busy": "2024-07-26T02:27:45.974573Z", + "iopub.status.idle": "2024-07-26T02:27:45.979528Z", + "shell.execute_reply": "2024-07-26T02:27:45.978976Z" } }, "outputs": [], @@ -152,17 +152,17 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:53.989947Z", - "iopub.status.busy": "2024-07-23T22:29:53.989540Z", - "iopub.status.idle": "2024-07-23T22:29:54.011854Z", - "shell.execute_reply": "2024-07-23T22:29:54.011176Z" + "iopub.execute_input": "2024-07-26T02:27:45.983397Z", + "iopub.status.busy": "2024-07-26T02:27:45.982385Z", + "iopub.status.idle": "2024-07-26T02:27:46.005180Z", + "shell.execute_reply": "2024-07-26T02:27:46.004503Z" } }, "outputs": [ { "data": { "text/plain": [ - "np.float64(-99.55717072551607)" + "np.float64(-99.55717072551532)" ] }, "execution_count": 5, @@ -191,10 +191,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:54.045105Z", - "iopub.status.busy": "2024-07-23T22:29:54.044669Z", - "iopub.status.idle": "2024-07-23T22:29:54.454846Z", - "shell.execute_reply": "2024-07-23T22:29:54.454266Z" + "iopub.execute_input": "2024-07-26T02:27:46.040024Z", + "iopub.status.busy": "2024-07-26T02:27:46.039560Z", + "iopub.status.idle": "2024-07-26T02:27:46.444185Z", + "shell.execute_reply": "2024-07-26T02:27:46.443541Z" } }, "outputs": [ @@ -202,7 +202,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_4307/2190712273.py:2: UserWarning: Trace of LinearOperator not available, it will be estimated. Provide `traceA` to ensure performance.\n", + "/tmp/ipykernel_4333/2190712273.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": "2024-07-23T22:29:54.459081Z", - "iopub.status.busy": "2024-07-23T22:29:54.458107Z", - "iopub.status.idle": "2024-07-23T22:29:54.833761Z", - "shell.execute_reply": "2024-07-23T22:29:54.833193Z" + "iopub.execute_input": "2024-07-26T02:27:46.447471Z", + "iopub.status.busy": "2024-07-26T02:27:46.447081Z", + "iopub.status.idle": "2024-07-26T02:27:46.817998Z", + "shell.execute_reply": "2024-07-26T02:27:46.817360Z" } }, "outputs": [], diff --git a/dev/explanations/orbital-rotation.ipynb b/dev/explanations/orbital-rotation.ipynb index fce316d35..48b8c8c1a 100644 --- a/dev/explanations/orbital-rotation.ipynb +++ b/dev/explanations/orbital-rotation.ipynb @@ -62,10 +62,10 @@ "execution_count": 1, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:29:57.982707Z", - "iopub.status.busy": "2024-07-23T22:29:57.982262Z", - "iopub.status.idle": "2024-07-23T22:29:58.687391Z", - "shell.execute_reply": "2024-07-23T22:29:58.686758Z" + "iopub.execute_input": "2024-07-26T02:27:50.121781Z", + "iopub.status.busy": "2024-07-26T02:27:50.121589Z", + "iopub.status.idle": "2024-07-26T02:27:50.836550Z", + "shell.execute_reply": "2024-07-26T02:27:50.836015Z" } }, "outputs": [], diff --git a/dev/explanations/qiskit-gate-decompositions.ipynb b/dev/explanations/qiskit-gate-decompositions.ipynb index e4f93353e..b73838c64 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": "2024-07-23T22:29:59.990364Z", - "iopub.status.busy": "2024-07-23T22:29:59.989893Z", - "iopub.status.idle": "2024-07-23T22:30:01.579792Z", - "shell.execute_reply": "2024-07-23T22:30:01.579044Z" + "iopub.execute_input": "2024-07-26T02:27:52.245529Z", + "iopub.status.busy": "2024-07-26T02:27:52.245316Z", + "iopub.status.idle": "2024-07-26T02:27:53.834400Z", + "shell.execute_reply": "2024-07-26T02:27:53.833781Z" } }, "outputs": [ @@ -81,10 +81,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:01.582845Z", - "iopub.status.busy": "2024-07-23T22:30:01.582183Z", - "iopub.status.idle": "2024-07-23T22:30:01.780472Z", - "shell.execute_reply": "2024-07-23T22:30:01.779812Z" + "iopub.execute_input": "2024-07-26T02:27:53.837020Z", + "iopub.status.busy": "2024-07-26T02:27:53.836709Z", + "iopub.status.idle": "2024-07-26T02:27:54.052058Z", + "shell.execute_reply": "2024-07-26T02:27:54.051487Z" } }, "outputs": [ @@ -119,10 +119,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:01.783082Z", - "iopub.status.busy": "2024-07-23T22:30:01.782722Z", - "iopub.status.idle": "2024-07-23T22:30:01.893766Z", - "shell.execute_reply": "2024-07-23T22:30:01.893111Z" + "iopub.execute_input": "2024-07-26T02:27:54.054418Z", + "iopub.status.busy": "2024-07-26T02:27:54.054218Z", + "iopub.status.idle": "2024-07-26T02:27:54.168078Z", + "shell.execute_reply": "2024-07-26T02:27:54.167448Z" } }, "outputs": [ @@ -156,10 +156,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:01.896689Z", - "iopub.status.busy": "2024-07-23T22:30:01.896237Z", - "iopub.status.idle": "2024-07-23T22:30:02.006257Z", - "shell.execute_reply": "2024-07-23T22:30:02.005644Z" + "iopub.execute_input": "2024-07-26T02:27:54.170594Z", + "iopub.status.busy": "2024-07-26T02:27:54.170353Z", + "iopub.status.idle": "2024-07-26T02:27:54.280203Z", + "shell.execute_reply": "2024-07-26T02:27:54.279569Z" } }, "outputs": [ @@ -196,10 +196,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.008897Z", - "iopub.status.busy": "2024-07-23T22:30:02.008541Z", - "iopub.status.idle": "2024-07-23T22:30:02.193223Z", - "shell.execute_reply": "2024-07-23T22:30:02.192603Z" + "iopub.execute_input": "2024-07-26T02:27:54.282923Z", + "iopub.status.busy": "2024-07-26T02:27:54.282451Z", + "iopub.status.idle": "2024-07-26T02:27:54.467756Z", + "shell.execute_reply": "2024-07-26T02:27:54.467120Z" } }, "outputs": [ @@ -250,10 +250,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.195857Z", - "iopub.status.busy": "2024-07-23T22:30:02.195447Z", - "iopub.status.idle": "2024-07-23T22:30:02.418459Z", - "shell.execute_reply": "2024-07-23T22:30:02.417831Z" + "iopub.execute_input": "2024-07-26T02:27:54.470375Z", + "iopub.status.busy": "2024-07-26T02:27:54.470022Z", + "iopub.status.idle": "2024-07-26T02:27:54.693572Z", + "shell.execute_reply": "2024-07-26T02:27:54.692970Z" } }, "outputs": [ @@ -292,10 +292,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.421170Z", - "iopub.status.busy": "2024-07-23T22:30:02.420786Z", - "iopub.status.idle": "2024-07-23T22:30:02.557432Z", - "shell.execute_reply": "2024-07-23T22:30:02.556819Z" + "iopub.execute_input": "2024-07-26T02:27:54.696527Z", + "iopub.status.busy": "2024-07-26T02:27:54.696044Z", + "iopub.status.idle": "2024-07-26T02:27:54.832835Z", + "shell.execute_reply": "2024-07-26T02:27:54.832242Z" } }, "outputs": [ @@ -334,10 +334,10 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:02.559829Z", - "iopub.status.busy": "2024-07-23T22:30:02.559499Z", - "iopub.status.idle": "2024-07-23T22:30:03.083090Z", - "shell.execute_reply": "2024-07-23T22:30:03.082479Z" + "iopub.execute_input": "2024-07-26T02:27:54.835483Z", + "iopub.status.busy": "2024-07-26T02:27:54.835105Z", + "iopub.status.idle": "2024-07-26T02:27:55.363508Z", + "shell.execute_reply": "2024-07-26T02:27:55.362842Z" } }, "outputs": [ @@ -383,10 +383,10 @@ "execution_count": 9, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.085645Z", - "iopub.status.busy": "2024-07-23T22:30:03.085282Z", - "iopub.status.idle": "2024-07-23T22:30:03.257547Z", - "shell.execute_reply": "2024-07-23T22:30:03.256890Z" + "iopub.execute_input": "2024-07-26T02:27:55.366175Z", + "iopub.status.busy": "2024-07-26T02:27:55.365669Z", + "iopub.status.idle": "2024-07-26T02:27:55.536898Z", + "shell.execute_reply": "2024-07-26T02:27:55.536316Z" } }, "outputs": [ @@ -425,10 +425,10 @@ "execution_count": 10, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.260333Z", - "iopub.status.busy": "2024-07-23T22:30:03.259956Z", - "iopub.status.idle": "2024-07-23T22:30:03.443625Z", - "shell.execute_reply": "2024-07-23T22:30:03.443045Z" + "iopub.execute_input": "2024-07-26T02:27:55.539279Z", + "iopub.status.busy": "2024-07-26T02:27:55.539069Z", + "iopub.status.idle": "2024-07-26T02:27:55.722891Z", + "shell.execute_reply": "2024-07-26T02:27:55.722232Z" } }, "outputs": [ @@ -474,10 +474,10 @@ "execution_count": 11, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.446348Z", - "iopub.status.busy": "2024-07-23T22:30:03.445959Z", - "iopub.status.idle": "2024-07-23T22:30:03.578198Z", - "shell.execute_reply": "2024-07-23T22:30:03.577570Z" + "iopub.execute_input": "2024-07-26T02:27:55.725632Z", + "iopub.status.busy": "2024-07-26T02:27:55.725243Z", + "iopub.status.idle": "2024-07-26T02:27:55.856692Z", + "shell.execute_reply": "2024-07-26T02:27:55.856050Z" } }, "outputs": [ @@ -513,10 +513,10 @@ "execution_count": 12, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.580906Z", - "iopub.status.busy": "2024-07-23T22:30:03.580473Z", - "iopub.status.idle": "2024-07-23T22:30:03.761964Z", - "shell.execute_reply": "2024-07-23T22:30:03.761365Z" + "iopub.execute_input": "2024-07-26T02:27:55.859301Z", + "iopub.status.busy": "2024-07-26T02:27:55.858898Z", + "iopub.status.idle": "2024-07-26T02:27:56.038589Z", + "shell.execute_reply": "2024-07-26T02:27:56.037969Z" } }, "outputs": [ @@ -553,10 +553,10 @@ "execution_count": 13, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.764471Z", - "iopub.status.busy": "2024-07-23T22:30:03.764088Z", - "iopub.status.idle": "2024-07-23T22:30:03.926721Z", - "shell.execute_reply": "2024-07-23T22:30:03.926200Z" + "iopub.execute_input": "2024-07-26T02:27:56.041173Z", + "iopub.status.busy": "2024-07-26T02:27:56.040768Z", + "iopub.status.idle": "2024-07-26T02:27:56.204484Z", + "shell.execute_reply": "2024-07-26T02:27:56.203840Z" } }, "outputs": [ @@ -593,10 +593,10 @@ "execution_count": 14, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:03.929157Z", - "iopub.status.busy": "2024-07-23T22:30:03.928782Z", - "iopub.status.idle": "2024-07-23T22:30:04.059695Z", - "shell.execute_reply": "2024-07-23T22:30:04.059192Z" + "iopub.execute_input": "2024-07-26T02:27:56.206848Z", + "iopub.status.busy": "2024-07-26T02:27:56.206628Z", + "iopub.status.idle": "2024-07-26T02:27:56.338527Z", + "shell.execute_reply": "2024-07-26T02:27:56.337897Z" } }, "outputs": [ @@ -630,10 +630,10 @@ "execution_count": 15, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:04.062134Z", - "iopub.status.busy": "2024-07-23T22:30:04.061798Z", - "iopub.status.idle": "2024-07-23T22:30:04.311872Z", - "shell.execute_reply": "2024-07-23T22:30:04.311301Z" + "iopub.execute_input": "2024-07-26T02:27:56.341189Z", + "iopub.status.busy": "2024-07-26T02:27:56.340802Z", + "iopub.status.idle": "2024-07-26T02:27:56.603915Z", + "shell.execute_reply": "2024-07-26T02:27:56.603165Z" } }, "outputs": [ @@ -677,10 +677,10 @@ "execution_count": 16, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:04.314476Z", - "iopub.status.busy": "2024-07-23T22:30:04.314109Z", - "iopub.status.idle": "2024-07-23T22:30:04.642716Z", - "shell.execute_reply": "2024-07-23T22:30:04.642216Z" + "iopub.execute_input": "2024-07-26T02:27:56.606601Z", + "iopub.status.busy": "2024-07-26T02:27:56.606382Z", + "iopub.status.idle": "2024-07-26T02:27:56.929593Z", + "shell.execute_reply": "2024-07-26T02:27:56.928974Z" } }, "outputs": [ @@ -736,16 +736,16 @@ "execution_count": 17, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:04.644973Z", - "iopub.status.busy": "2024-07-23T22:30:04.644772Z", - "iopub.status.idle": "2024-07-23T22:30:05.112032Z", - "shell.execute_reply": "2024-07-23T22:30:05.111476Z" + "iopub.execute_input": "2024-07-26T02:27:56.932190Z", + "iopub.status.busy": "2024-07-26T02:27:56.931801Z", + "iopub.status.idle": "2024-07-26T02:27:57.389929Z", + "shell.execute_reply": "2024-07-26T02:27:57.389271Z" } }, "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -776,10 +776,10 @@ "execution_count": 18, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:05.114735Z", - "iopub.status.busy": "2024-07-23T22:30:05.114333Z", - "iopub.status.idle": "2024-07-23T22:30:05.376244Z", - "shell.execute_reply": "2024-07-23T22:30:05.375653Z" + "iopub.execute_input": "2024-07-26T02:27:57.392417Z", + "iopub.status.busy": "2024-07-26T02:27:57.392218Z", + "iopub.status.idle": "2024-07-26T02:27:57.652820Z", + "shell.execute_reply": "2024-07-26T02:27:57.652221Z" } }, "outputs": [ diff --git a/dev/explanations/state-vectors-and-gates.ipynb b/dev/explanations/state-vectors-and-gates.ipynb index 8a4de8fd6..e13b94db9 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": "2024-07-23T22:30:07.876318Z", - "iopub.status.busy": "2024-07-23T22:30:07.876131Z", - "iopub.status.idle": "2024-07-23T22:30:08.578038Z", - "shell.execute_reply": "2024-07-23T22:30:08.577435Z" + "iopub.execute_input": "2024-07-26T02:28:00.070414Z", + "iopub.status.busy": "2024-07-26T02:28:00.070211Z", + "iopub.status.idle": "2024-07-26T02:28:00.780391Z", + "shell.execute_reply": "2024-07-26T02:28:00.779754Z" } }, "outputs": [ @@ -74,10 +74,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.580795Z", - "iopub.status.busy": "2024-07-23T22:30:08.580359Z", - "iopub.status.idle": "2024-07-23T22:30:08.587079Z", - "shell.execute_reply": "2024-07-23T22:30:08.586565Z" + "iopub.execute_input": "2024-07-26T02:28:00.783261Z", + "iopub.status.busy": "2024-07-26T02:28:00.782539Z", + "iopub.status.idle": "2024-07-26T02:28:00.789654Z", + "shell.execute_reply": "2024-07-26T02:28:00.789197Z" } }, "outputs": [ @@ -120,10 +120,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.589388Z", - "iopub.status.busy": "2024-07-23T22:30:08.589035Z", - "iopub.status.idle": "2024-07-23T22:30:08.593419Z", - "shell.execute_reply": "2024-07-23T22:30:08.592920Z" + "iopub.execute_input": "2024-07-26T02:28:00.792131Z", + "iopub.status.busy": "2024-07-26T02:28:00.791768Z", + "iopub.status.idle": "2024-07-26T02:28:00.795891Z", + "shell.execute_reply": "2024-07-26T02:28:00.795380Z" } }, "outputs": [ @@ -157,10 +157,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.595784Z", - "iopub.status.busy": "2024-07-23T22:30:08.595429Z", - "iopub.status.idle": "2024-07-23T22:30:08.599404Z", - "shell.execute_reply": "2024-07-23T22:30:08.598893Z" + "iopub.execute_input": "2024-07-26T02:28:00.798146Z", + "iopub.status.busy": "2024-07-26T02:28:00.797812Z", + "iopub.status.idle": "2024-07-26T02:28:00.801877Z", + "shell.execute_reply": "2024-07-26T02:28:00.801327Z" } }, "outputs": [ @@ -199,10 +199,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.601620Z", - "iopub.status.busy": "2024-07-23T22:30:08.601230Z", - "iopub.status.idle": "2024-07-23T22:30:08.607187Z", - "shell.execute_reply": "2024-07-23T22:30:08.606674Z" + "iopub.execute_input": "2024-07-26T02:28:00.804324Z", + "iopub.status.busy": "2024-07-26T02:28:00.803981Z", + "iopub.status.idle": "2024-07-26T02:28:00.809781Z", + "shell.execute_reply": "2024-07-26T02:28:00.809280Z" } }, "outputs": [ @@ -245,10 +245,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.609288Z", - "iopub.status.busy": "2024-07-23T22:30:08.609088Z", - "iopub.status.idle": "2024-07-23T22:30:08.614772Z", - "shell.execute_reply": "2024-07-23T22:30:08.614315Z" + "iopub.execute_input": "2024-07-26T02:28:00.812168Z", + "iopub.status.busy": "2024-07-26T02:28:00.811724Z", + "iopub.status.idle": "2024-07-26T02:28:00.817373Z", + "shell.execute_reply": "2024-07-26T02:28:00.816800Z" } }, "outputs": [ @@ -293,10 +293,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:08.617092Z", - "iopub.status.busy": "2024-07-23T22:30:08.616656Z", - "iopub.status.idle": "2024-07-23T22:30:08.621788Z", - "shell.execute_reply": "2024-07-23T22:30:08.621187Z" + "iopub.execute_input": "2024-07-26T02:28:00.819712Z", + "iopub.status.busy": "2024-07-26T02:28:00.819385Z", + "iopub.status.idle": "2024-07-26T02:28:00.824255Z", + "shell.execute_reply": "2024-07-26T02:28:00.823711Z" } }, "outputs": [ diff --git a/dev/how-to-guides/entanglement-forging.html b/dev/how-to-guides/entanglement-forging.html index 3e6201718..c1b9aa774 100644 --- a/dev/how-to-guides/entanglement-forging.html +++ b/dev/how-to-guides/entanglement-forging.html @@ -336,7 +336,7 @@

Build a molecule 
 converged SCF energy = -75.6787887956297
-Parsing /tmp/tmpfegb262g
+Parsing /tmp/tmpjfp2fs73
 converged SCF energy = -75.6787887956314
 CASCI E = -75.7288249991515  E(CI) = -23.6332495815006  S^2 = 0.0000000
 norb = 6
@@ -348,7 +348,7 @@ 
Build a molecule
 
-Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>
+Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1284: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
@@ -424,7 +424,7 @@

Compute energy 
-Energy at initialialization: -75.67794403659725
+Energy at initialialization: -75.67794403659724
@@ -470,10 +470,10 @@

Optimize energy\n", + "Overwritten attributes get_hcore get_ovlp of \n", "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1284: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n", " warnings.warn(msg)\n" ] @@ -123,10 +123,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.472782Z", - "iopub.status.busy": "2024-07-23T22:30:11.472319Z", - "iopub.status.idle": "2024-07-23T22:30:11.476782Z", - "shell.execute_reply": "2024-07-23T22:30:11.476322Z" + "iopub.execute_input": "2024-07-26T02:28:03.670248Z", + "iopub.status.busy": "2024-07-26T02:28:03.669571Z", + "iopub.status.idle": "2024-07-26T02:28:03.674922Z", + "shell.execute_reply": "2024-07-26T02:28:03.674460Z" } }, "outputs": [], @@ -166,10 +166,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.479397Z", - "iopub.status.busy": "2024-07-23T22:30:11.478878Z", - "iopub.status.idle": "2024-07-23T22:30:11.482346Z", - "shell.execute_reply": "2024-07-23T22:30:11.481890Z" + "iopub.execute_input": "2024-07-26T02:28:03.678148Z", + "iopub.status.busy": "2024-07-26T02:28:03.677178Z", + "iopub.status.idle": "2024-07-26T02:28:03.681119Z", + "shell.execute_reply": "2024-07-26T02:28:03.680682Z" } }, "outputs": [], @@ -198,10 +198,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.484690Z", - "iopub.status.busy": "2024-07-23T22:30:11.484349Z", - "iopub.status.idle": "2024-07-23T22:30:11.617976Z", - "shell.execute_reply": "2024-07-23T22:30:11.617420Z" + "iopub.execute_input": "2024-07-26T02:28:03.683661Z", + "iopub.status.busy": "2024-07-26T02:28:03.683273Z", + "iopub.status.idle": "2024-07-26T02:28:03.808139Z", + "shell.execute_reply": "2024-07-26T02:28:03.807604Z" } }, "outputs": [ @@ -209,7 +209,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Energy at initialialization: -75.67794403659725\n" + "Energy at initialialization: -75.67794403659724\n" ] } ], @@ -236,10 +236,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:11.620396Z", - "iopub.status.busy": "2024-07-23T22:30:11.620183Z", - "iopub.status.idle": "2024-07-23T22:30:19.790133Z", - "shell.execute_reply": "2024-07-23T22:30:19.789617Z" + "iopub.execute_input": "2024-07-26T02:28:03.810866Z", + "iopub.status.busy": "2024-07-26T02:28:03.810417Z", + "iopub.status.idle": "2024-07-26T02:28:11.720965Z", + "shell.execute_reply": "2024-07-26T02:28:11.720427Z" } }, "outputs": [ @@ -251,10 +251,10 @@ " message: STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT\n", " success: False\n", " status: 1\n", - " fun: -75.68381564670884\n", - " x: [-1.603e-01 6.418e-03 ... 5.747e-02 -1.005e-01]\n", + " fun: -75.68381571652795\n", + " x: [-1.603e-01 6.421e-03 ... 5.747e-02 -1.005e-01]\n", " nit: 3\n", - " jac: [ 2.203e-04 9.948e-05 ... -4.748e-03 7.398e-03]\n", + " jac: [ 2.117e-04 1.094e-04 ... -4.741e-03 7.394e-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 9fdbb1360..2514c4fd7 100644 --- a/dev/how-to-guides/fermion-operator.html +++ b/dev/how-to-guides/fermion-operator.html @@ -317,8 +317,8 @@

How to use the FermionOperator class
 FermionOperator({
     (cre_a(3), des_a(0)): -0.25,
-    (cre_b(1), des_b(5), cre_a(4)): 1+1j,
-    (cre_a(0), des_a(3)): 0.5
+    (cre_a(0), des_a(3)): 0.5,
+    (cre_b(1), des_b(5), cre_a(4)): 1+1j
 })
@@ -337,7 +337,7 @@

How to use the FermionOperator class 
-'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})'
+'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j})'

FermionOperators support arithmetic operations. Note that when multiplying a FermionOperator by a scalar, the scalar must go on the left, i.e. 2 * op and not op * 2.

@@ -365,17 +365,17 @@

How to use the FermionOperator class 
 FermionOperator({
-    (cre_a(3), des_a(0), 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)): -0.5,
-    (cre_a(0), des_a(3)): 1,
-    (cre_b(2)): 0-0.25j,
-    (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(3), des_a(0)): -0.5,
+    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,
+    (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,
     (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,
     (des_a(3), des_b(3)): 0.0625,
+    (cre_a(0), des_a(3)): 1,
     (cre_a(3), des_a(0), 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_b(2)): 0-0.25j,
+    (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125
 })
@@ -404,17 +404,17 @@

How to use the FermionOperator class 
 FermionOperator({
-    (cre_a(3), des_a(0), cre_b(2)): -1,
     (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,
-    (cre_a(3), des_a(0)): 0+3j,
-    (cre_a(0), des_a(3)): 0-6j,
-    (cre_b(2)): -5,
-    (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(3), des_a(0)): 0+3j,
+    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,
+    (cre_a(3), des_a(0), cre_b(2)): -1,
     (cre_a(0), des_a(3), cre_b(2)): 2,
     (des_a(3), des_b(3)): 0-1.25j,
+    (cre_a(0), des_a(3)): 0-6j,
     (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,
-    (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j
+    (cre_b(2)): -5,
+    (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j
 })
@@ -435,15 +435,15 @@

How to use the FermionOperator class 
 FermionOperator({
+    (cre_b(2)): -5,
+    (cre_b(2), cre_a(3), des_a(0)): -1,
+    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
     (cre_a(3), des_a(0)): 0+3j,
+    (des_b(3), des_a(3)): 0+1.25j,
     (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,
     (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,
-    (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,
-    (des_b(3), des_a(3)): 0+1.25j,
-    (cre_b(2)): -5,
     (cre_b(2), cre_a(0), des_a(3)): 2,
-    (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,
-    (cre_b(2), cre_a(3), des_a(0)): -1,
     (cre_a(0), des_a(3)): 0-6j
 })
@@ -513,11 +513,11 @@

How to use the FermionOperator class 
-array([0.        +0.j        , 0.        +0.j        ,
-       0.        +0.j        , 0.        +0.j        ,
-       0.16281661-0.05823675j, 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        ,
+       -0.08987947+0.18917418j,  0.        +0.j        ,
+        0.        +0.j        ,  0.        +0.j        ,
+        0.        +0.j        ])

It can also be passed into most linear algebra routines in scipy.sparse.linalg.

diff --git a/dev/how-to-guides/fermion-operator.ipynb b/dev/how-to-guides/fermion-operator.ipynb index 31eb5be42..2e0c2e5d5 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": "2024-07-23T22:30:21.294628Z", - "iopub.status.busy": "2024-07-23T22:30:21.294436Z", - "iopub.status.idle": "2024-07-23T22:30:22.003429Z", - "shell.execute_reply": "2024-07-23T22:30:22.002837Z" + "iopub.execute_input": "2024-07-26T02:28:13.251912Z", + "iopub.status.busy": "2024-07-26T02:28:13.251407Z", + "iopub.status.idle": "2024-07-26T02:28:13.961285Z", + "shell.execute_reply": "2024-07-26T02:28:13.960686Z" } }, "outputs": [ @@ -41,8 +41,8 @@ "text/plain": [ "FermionOperator({\n", " (cre_a(3), des_a(0)): -0.25,\n", - " (cre_b(1), des_b(5), cre_a(4)): 1+1j,\n", - " (cre_a(0), des_a(3)): 0.5\n", + " (cre_a(0), des_a(3)): 0.5,\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": "2024-07-23T22:30:22.006018Z", - "iopub.status.busy": "2024-07-23T22:30:22.005624Z", - "iopub.status.idle": "2024-07-23T22:30:22.009684Z", - "shell.execute_reply": "2024-07-23T22:30:22.009052Z" + "iopub.execute_input": "2024-07-26T02:28:13.963872Z", + "iopub.status.busy": "2024-07-26T02:28:13.963415Z", + "iopub.status.idle": "2024-07-26T02:28:13.967296Z", + "shell.execute_reply": "2024-07-26T02:28:13.966761Z" } }, "outputs": [ { "data": { "text/plain": [ - "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, True, 1), (False, True, 5), (True, False, 4)): 1+1j, ((True, False, 0), (False, False, 3)): 0.5+0j})'" + "'FermionOperator({((True, False, 3), (False, False, 0)): -0.25+0j, ((True, False, 0), (False, False, 3)): 0.5+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": "2024-07-23T22:30:22.012057Z", - "iopub.status.busy": "2024-07-23T22:30:22.011691Z", - "iopub.status.idle": "2024-07-23T22:30:22.016259Z", - "shell.execute_reply": "2024-07-23T22:30:22.015780Z" + "iopub.execute_input": "2024-07-26T02:28:13.969462Z", + "iopub.status.busy": "2024-07-26T02:28:13.969270Z", + "iopub.status.idle": "2024-07-26T02:28:13.973551Z", + "shell.execute_reply": "2024-07-26T02:28:13.972972Z" } }, "outputs": [ @@ -121,17 +121,17 @@ "data": { "text/plain": [ "FermionOperator({\n", - " (cre_a(3), des_a(0), 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)): -0.5,\n", - " (cre_a(0), des_a(3)): 1,\n", - " (cre_b(2)): 0-0.25j,\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(3), des_a(0)): -0.5,\n", + " (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -0.25-0.25j,\n", + " (cre_a(3), des_a(0), cre_b(2)): 0-0.25j,\n", " (cre_a(0), des_a(3), cre_b(2)): 0+0.5j,\n", " (des_a(3), des_b(3)): 0.0625,\n", + " (cre_a(0), des_a(3)): 1,\n", " (cre_a(3), des_a(0), 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_b(2)): 0-0.25j,\n", + " (cre_a(0), des_a(3), des_a(3), des_b(3)): -0.125\n", "})" ] }, @@ -170,10 +170,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.018459Z", - "iopub.status.busy": "2024-07-23T22:30:22.018101Z", - "iopub.status.idle": "2024-07-23T22:30:22.022108Z", - "shell.execute_reply": "2024-07-23T22:30:22.021630Z" + "iopub.execute_input": "2024-07-26T02:28:13.975920Z", + "iopub.status.busy": "2024-07-26T02:28:13.975556Z", + "iopub.status.idle": "2024-07-26T02:28:13.979469Z", + "shell.execute_reply": "2024-07-26T02:28:13.978866Z" } }, "outputs": [ @@ -181,17 +181,17 @@ "data": { "text/plain": [ "FermionOperator({\n", - " (cre_a(3), des_a(0), cre_b(2)): -1,\n", " (cre_b(1), des_b(5), cre_a(4), cre_b(2)): 4+4j,\n", - " (cre_a(3), des_a(0)): 0+3j,\n", - " (cre_a(0), des_a(3)): 0-6j,\n", - " (cre_b(2)): -5,\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(3), des_a(0)): 0+3j,\n", + " (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j,\n", + " (cre_a(3), des_a(0), cre_b(2)): -1,\n", " (cre_a(0), des_a(3), cre_b(2)): 2,\n", " (des_a(3), des_b(3)): 0-1.25j,\n", + " (cre_a(0), des_a(3)): 0-6j,\n", " (cre_a(3), des_a(0), des_a(3), des_b(3)): 0-0.25j,\n", - " (cre_b(1), des_b(5), cre_a(4), des_a(3), des_b(3)): -1+1j\n", + " (cre_b(2)): -5,\n", + " (cre_a(0), des_a(3), des_a(3), des_b(3)): 0+0.5j\n", "})" ] }, @@ -220,10 +220,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.024318Z", - "iopub.status.busy": "2024-07-23T22:30:22.023961Z", - "iopub.status.idle": "2024-07-23T22:30:22.027846Z", - "shell.execute_reply": "2024-07-23T22:30:22.027367Z" + "iopub.execute_input": "2024-07-26T02:28:13.981898Z", + "iopub.status.busy": "2024-07-26T02:28:13.981503Z", + "iopub.status.idle": "2024-07-26T02:28:13.985220Z", + "shell.execute_reply": "2024-07-26T02:28:13.984710Z" } }, "outputs": [ @@ -231,15 +231,15 @@ "data": { "text/plain": [ "FermionOperator({\n", + " (cre_b(2)): -5,\n", + " (cre_b(2), cre_a(3), des_a(0)): -1,\n", + " (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n", " (cre_a(3), des_a(0)): 0+3j,\n", + " (des_b(3), des_a(3)): 0+1.25j,\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", " (cre_b(1), cre_a(4), des_b(5), des_b(3), des_a(3)): -1+1j,\n", - " (cre_a(3), des_b(3), des_a(3), des_a(0)): 0+0.25j,\n", - " (des_b(3), des_a(3)): 0+1.25j,\n", - " (cre_b(2)): -5,\n", " (cre_b(2), cre_a(0), des_a(3)): 2,\n", - " (cre_b(2), cre_b(1), cre_a(4), des_b(5)): 4+4j,\n", - " (cre_b(2), cre_a(3), des_a(0)): -1,\n", " (cre_a(0), des_a(3)): 0-6j\n", "})" ] @@ -265,10 +265,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.030155Z", - "iopub.status.busy": "2024-07-23T22:30:22.029817Z", - "iopub.status.idle": "2024-07-23T22:30:22.033187Z", - "shell.execute_reply": "2024-07-23T22:30:22.032711Z" + "iopub.execute_input": "2024-07-26T02:28:13.987580Z", + "iopub.status.busy": "2024-07-26T02:28:13.987228Z", + "iopub.status.idle": "2024-07-26T02:28:13.990215Z", + "shell.execute_reply": "2024-07-26T02:28:13.989643Z" } }, "outputs": [ @@ -298,10 +298,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.035371Z", - "iopub.status.busy": "2024-07-23T22:30:22.035029Z", - "iopub.status.idle": "2024-07-23T22:30:22.039211Z", - "shell.execute_reply": "2024-07-23T22:30:22.038622Z" + "iopub.execute_input": "2024-07-26T02:28:13.992439Z", + "iopub.status.busy": "2024-07-26T02:28:13.992092Z", + "iopub.status.idle": "2024-07-26T02:28:13.996004Z", + "shell.execute_reply": "2024-07-26T02:28:13.995424Z" } }, "outputs": [ @@ -341,21 +341,21 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:22.058742Z", - "iopub.status.busy": "2024-07-23T22:30:22.058303Z", - "iopub.status.idle": "2024-07-23T22:30:22.064306Z", - "shell.execute_reply": "2024-07-23T22:30:22.063743Z" + "iopub.execute_input": "2024-07-26T02:28:14.012112Z", + "iopub.status.busy": "2024-07-26T02:28:14.011558Z", + "iopub.status.idle": "2024-07-26T02:28:14.017998Z", + "shell.execute_reply": "2024-07-26T02:28:14.017421Z" } }, "outputs": [ { "data": { "text/plain": [ - "array([0. +0.j , 0. +0.j ,\n", - " 0. +0.j , 0. +0.j ,\n", - " 0.16281661-0.05823675j, 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", + " -0.08987947+0.18917418j, 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": "2024-07-23T22:30:22.066614Z", - "iopub.status.busy": "2024-07-23T22:30:22.066266Z", - "iopub.status.idle": "2024-07-23T22:30:22.076861Z", - "shell.execute_reply": "2024-07-23T22:30:22.076410Z" + "iopub.execute_input": "2024-07-26T02:28:14.020214Z", + "iopub.status.busy": "2024-07-26T02:28:14.020023Z", + "iopub.status.idle": "2024-07-26T02:28:14.031249Z", + "shell.execute_reply": "2024-07-26T02:28:14.030746Z" } }, "outputs": [ diff --git a/dev/how-to-guides/lucj.html b/dev/how-to-guides/lucj.html index e39f06524..c5df0eca7 100644 --- a/dev/how-to-guides/lucj.html +++ b/dev/how-to-guides/lucj.html @@ -331,10 +331,10 @@

How to simulate the local unitary cluster Jastrow (LUCJ) ansatz 
-converged SCF energy = -77.8266321248745
-Parsing /tmp/tmpz0beoxj6
-converged SCF energy = -77.8266321248745
-CASCI E = -77.8742165643863  E(CI) = -4.02122442107773  S^2 = 0.0000000
+converged SCF energy = -77.8266321248744
+Parsing /tmp/tmpvt8_j8d0
+converged SCF energy = -77.8266321248744
+CASCI E = -77.8742165643862  E(CI) = -4.02122442107772  S^2 = 0.0000000
 norb = 4
 nelec = (2, 2)
@@ -344,7 +344,7 @@

How to simulate the local unitary cluster Jastrow (LUCJ) ansatz 
-Overwritten attributes  get_ovlp get_hcore  of <class 'pyscf.scf.hf.RHF'>
+Overwritten attributes  get_hcore get_ovlp  of <class 'pyscf.scf.hf.RHF'>
 /home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1284: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable
   warnings.warn(msg)
@@ -387,8 +387,8 @@

General UCJ ansatz 
-E(CCSD) = -77.87421536374029  E_corr = -0.04758323886585769
-Energy at initialization: -77.87160024816289
+E(CCSD) = -77.87421536374026  E_corr = -0.04758323886585455
+Energy at initialization: -77.8716002481628

To variationally optimize the ansatz, we’ll take advantage of methods for conversion to and from real-valued parameter vectors. In the following code cell, we define an objective function that takes a parameter vector as input and outputs the energy of the associated ansatz state. We then optimize this objective function using scipy.optimize.minimize, with an initial guess obtained from the operator we initialized previously from t2 amplitudes.

@@ -426,10 +426,10 @@

General UCJ ansatz\n", + "Overwritten attributes get_hcore get_ovlp of \n", "/home/runner/work/ffsim/ffsim/.tox/docs/lib/python3.12/site-packages/pyscf/gto/mole.py:1284: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n", " warnings.warn(msg)\n" ] @@ -121,10 +121,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:24.702317Z", - "iopub.status.busy": "2024-07-23T22:30:24.701238Z", - "iopub.status.idle": "2024-07-23T22:30:24.772193Z", - "shell.execute_reply": "2024-07-23T22:30:24.771643Z" + "iopub.execute_input": "2024-07-26T02:28:16.861236Z", + "iopub.status.busy": "2024-07-26T02:28:16.860755Z", + "iopub.status.idle": "2024-07-26T02:28:16.930228Z", + "shell.execute_reply": "2024-07-26T02:28:16.929667Z" } }, "outputs": [ @@ -132,14 +132,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -77.87421536374029 E_corr = -0.04758323886585769\n" + "E(CCSD) = -77.87421536374026 E_corr = -0.04758323886585455\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Energy at initialization: -77.87160024816289\n" + "Energy at initialization: -77.8716002481628\n" ] } ], @@ -180,10 +180,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:30:24.775553Z", - "iopub.status.busy": "2024-07-23T22:30:24.775131Z", - "iopub.status.idle": "2024-07-23T22:31:35.553547Z", - "shell.execute_reply": "2024-07-23T22:31:35.552955Z" + "iopub.execute_input": "2024-07-26T02:28:16.933028Z", + "iopub.status.busy": "2024-07-26T02:28:16.932809Z", + "iopub.status.idle": "2024-07-26T02:29:29.616723Z", + "shell.execute_reply": "2024-07-26T02:29:29.616068Z" } }, "outputs": [ @@ -195,10 +195,10 @@ " message: STOP: TOTAL NO. of ITERATIONS REACHED LIMIT\n", " success: False\n", " status: 1\n", - " fun: -77.87387391273364\n", - " x: [-1.153e+00 -3.421e-04 ... 2.640e-04 1.286e-01]\n", + " fun: -77.87387392307558\n", + " x: [-1.153e+00 -2.688e-04 ... 1.579e-04 1.286e-01]\n", " nit: 10\n", - " jac: [ 4.832e-05 2.842e-05 ... 1.847e-05 7.105e-06]\n", + " jac: [-4.832e-05 -2.842e-05 ... 1.421e-05 8.527e-06]\n", " nfev: 949\n", " njev: 13\n", " hess_inv: <72x72 LbfgsInvHessProduct with dtype=float64>\n" @@ -242,10 +242,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:31:35.556779Z", - "iopub.status.busy": "2024-07-23T22:31:35.556260Z", - "iopub.status.idle": "2024-07-23T22:32:00.294511Z", - "shell.execute_reply": "2024-07-23T22:32:00.293843Z" + "iopub.execute_input": "2024-07-26T02:29:29.620036Z", + "iopub.status.busy": "2024-07-26T02:29:29.619737Z", + "iopub.status.idle": "2024-07-26T02:29:53.702473Z", + "shell.execute_reply": "2024-07-26T02:29:53.701826Z" } }, "outputs": [ @@ -257,10 +257,10 @@ " message: CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH\n", " success: True\n", " status: 0\n", - " fun: -77.87363426385984\n", - " x: [-1.153e+00 -1.065e-04 ... 3.519e-02 2.561e-01]\n", + " fun: -77.87363426271249\n", + " x: [-1.152e+00 -9.220e-05 ... 3.522e-02 2.561e-01]\n", " nit: 5\n", - " jac: [-5.400e-05 5.684e-06 ... 8.527e-06 -1.421e-06]\n", + " jac: [ 2.558e-05 -1.847e-05 ... 2.842e-06 4.263e-06]\n", " nfev: 329\n", " njev: 7\n", " hess_inv: <46x46 LbfgsInvHessProduct with dtype=float64>\n" @@ -305,10 +305,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:00.297658Z", - "iopub.status.busy": "2024-07-23T22:32:00.297420Z", - "iopub.status.idle": "2024-07-23T22:32:13.812026Z", - "shell.execute_reply": "2024-07-23T22:32:13.811400Z" + "iopub.execute_input": "2024-07-26T02:29:53.705778Z", + "iopub.status.busy": "2024-07-26T02:29:53.705338Z", + "iopub.status.idle": "2024-07-26T02:30:11.544785Z", + "shell.execute_reply": "2024-07-26T02:30:11.544146Z" } }, "outputs": [ @@ -319,29 +319,34 @@ "Number of parameters: 46\n", " message: Convergence: Norm of projected gradient <= gtol.\n", " success: True\n", - " fun: -77.87363432121501\n", - " x: [-1.152e+00 -6.643e-05 ... 3.506e-02 2.559e-01]\n", - " nit: 3\n", - " jac: [ 2.682e-07 -1.744e-07 ... -9.060e-08 -1.031e-07]\n", - " nfev: 535\n", - " njev: 4\n", - " nlinop: 351\n", + " fun: -77.87363433452647\n", + " x: [-1.151e+00 -3.666e-04 ... 3.458e-02 2.561e-01]\n", + " nit: 4\n", + " jac: [ 2.547e-06 -7.273e-08 ... 1.303e-07 9.150e-08]\n", + " nfev: 673\n", + " njev: 5\n", + " nlinop: 443\n", "\n", "Iteration 1\n", - " Energy: -77.87363110240167\n", - " Norm of gradient: 0.0014977444274153814\n", - " Regularization hyperparameter: 0.0028719078748818665\n", - " Variation hyperparameter: 0.9994066917073114\n", + " Energy: -77.87362949017803\n", + " Norm of gradient: 0.0017032385482687053\n", + " Regularization hyperparameter: 0.0013279102867002953\n", + " Variation hyperparameter: 0.9872670159807396\n", "Iteration 2\n", - " Energy: -77.87363431632271\n", - " Norm of gradient: 3.99771668928647e-05\n", - " Regularization hyperparameter: 0.0028683282556405307\n", - " Variation hyperparameter: 0.9994067007116887\n", + " Energy: -77.8736342750619\n", + " Norm of gradient: 8.499606167408255e-05\n", + " Regularization hyperparameter: 0.0046215181009085105\n", + " Variation hyperparameter: 0.9877849924912689\n", "Iteration 3\n", - " Energy: -77.87363432121501\n", - " Norm of gradient: 4.89611684282813e-06\n", - " Regularization hyperparameter: 0.0028683282556405307\n", - " Variation hyperparameter: 0.9994067007116887\n" + " Energy: -77.87363433061991\n", + " Norm of gradient: 1.1990422739119957e-05\n", + " Regularization hyperparameter: 0.003930328386391183\n", + " Variation hyperparameter: 0.9876996043582875\n", + "Iteration 4\n", + " Energy: -77.87363433452647\n", + " Norm of gradient: 7.76635632092199e-06\n", + " Regularization hyperparameter: 0.003930441707468886\n", + " Variation hyperparameter: 0.9876996345535829\n" ] } ], diff --git a/dev/how-to-guides/qiskit-circuits.html b/dev/how-to-guides/qiskit-circuits.html index 5bbc5c6db..d4a2aaa4f 100644 --- a/dev/how-to-guides/qiskit-circuits.html +++ b/dev/how-to-guides/qiskit-circuits.html @@ -392,7 +392,7 @@

Prepare Hartree-Fock state 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f139673d7e0>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f510d4df670>
@@ -421,7 +421,7 @@

Prepare Slater determinant 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f13966d1e70>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f510ce69210>
@@ -448,7 +448,7 @@

Orbital rotation 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f13966d1120>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f510d650a00>
@@ -470,7 +470,7 @@

Number operator sum evolution 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f13f89c7df0>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f510e92f3a0>
@@ -495,7 +495,7 @@

Diagonal Coulomb evolution 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f13967f2920>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f510ce6bfd0>
@@ -518,7 +518,7 @@

Spin-balanced unitary cluster Jastrow (UCJ) operator 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f13967f0040>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f517c465a20>
@@ -541,7 +541,7 @@

Spin-unbalanced unitary cluster Jastrow (UCJ) operator 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f13967f2d40>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f510ce864d0>
@@ -568,7 +568,7 @@

Trotter simulation of double-factorized Hamiltonian 
-<qiskit.circuit.instructionset.InstructionSet at 0x7f1395e71570>
+<qiskit.circuit.instructionset.InstructionSet at 0x7f510ce86e90>
diff --git a/dev/how-to-guides/qiskit-circuits.ipynb b/dev/how-to-guides/qiskit-circuits.ipynb index be7b1696b..87008f68c 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": "2024-07-23T22:32:15.386313Z", - "iopub.status.busy": "2024-07-23T22:32:15.385953Z", - "iopub.status.idle": "2024-07-23T22:32:16.066835Z", - "shell.execute_reply": "2024-07-23T22:32:16.066273Z" + "iopub.execute_input": "2024-07-26T02:30:13.105612Z", + "iopub.status.busy": "2024-07-26T02:30:13.105408Z", + "iopub.status.idle": "2024-07-26T02:30:13.799010Z", + "shell.execute_reply": "2024-07-26T02:30:13.798335Z" } }, "outputs": [], @@ -54,10 +54,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.069840Z", - "iopub.status.busy": "2024-07-23T22:32:16.069462Z", - "iopub.status.idle": "2024-07-23T22:32:16.650549Z", - "shell.execute_reply": "2024-07-23T22:32:16.649988Z" + "iopub.execute_input": "2024-07-26T02:30:13.801944Z", + "iopub.status.busy": "2024-07-26T02:30:13.801459Z", + "iopub.status.idle": "2024-07-26T02:30:14.376803Z", + "shell.execute_reply": "2024-07-26T02:30:14.376147Z" } }, "outputs": [ @@ -103,10 +103,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.653328Z", - "iopub.status.busy": "2024-07-23T22:32:16.652718Z", - "iopub.status.idle": "2024-07-23T22:32:16.862997Z", - "shell.execute_reply": "2024-07-23T22:32:16.862493Z" + "iopub.execute_input": "2024-07-26T02:30:14.379742Z", + "iopub.status.busy": "2024-07-26T02:30:14.379071Z", + "iopub.status.idle": "2024-07-26T02:30:14.587465Z", + "shell.execute_reply": "2024-07-26T02:30:14.586855Z" } }, "outputs": [ @@ -160,17 +160,17 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.865475Z", - "iopub.status.busy": "2024-07-23T22:32:16.865066Z", - "iopub.status.idle": "2024-07-23T22:32:16.869263Z", - "shell.execute_reply": "2024-07-23T22:32:16.868657Z" + "iopub.execute_input": "2024-07-26T02:30:14.590119Z", + "iopub.status.busy": "2024-07-26T02:30:14.589743Z", + "iopub.status.idle": "2024-07-26T02:30:14.594084Z", + "shell.execute_reply": "2024-07-26T02:30:14.593496Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -195,17 +195,17 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.871684Z", - "iopub.status.busy": "2024-07-23T22:32:16.871315Z", - "iopub.status.idle": "2024-07-23T22:32:16.875891Z", - "shell.execute_reply": "2024-07-23T22:32:16.875323Z" + "iopub.execute_input": "2024-07-26T02:30:14.596340Z", + "iopub.status.busy": "2024-07-26T02:30:14.596007Z", + "iopub.status.idle": "2024-07-26T02:30:14.601165Z", + "shell.execute_reply": "2024-07-26T02:30:14.600542Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 5, @@ -242,17 +242,17 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.878072Z", - "iopub.status.busy": "2024-07-23T22:32:16.877882Z", - "iopub.status.idle": "2024-07-23T22:32:16.882568Z", - "shell.execute_reply": "2024-07-23T22:32:16.881979Z" + "iopub.execute_input": "2024-07-26T02:30:14.603599Z", + "iopub.status.busy": "2024-07-26T02:30:14.603258Z", + "iopub.status.idle": "2024-07-26T02:30:14.607629Z", + "shell.execute_reply": "2024-07-26T02:30:14.607164Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 6, @@ -279,17 +279,17 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.884857Z", - "iopub.status.busy": "2024-07-23T22:32:16.884505Z", - "iopub.status.idle": "2024-07-23T22:32:16.888717Z", - "shell.execute_reply": "2024-07-23T22:32:16.888158Z" + "iopub.execute_input": "2024-07-26T02:30:14.610020Z", + "iopub.status.busy": "2024-07-26T02:30:14.609581Z", + "iopub.status.idle": "2024-07-26T02:30:14.613798Z", + "shell.execute_reply": "2024-07-26T02:30:14.613284Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -315,17 +315,17 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.891073Z", - "iopub.status.busy": "2024-07-23T22:32:16.890722Z", - "iopub.status.idle": "2024-07-23T22:32:16.895208Z", - "shell.execute_reply": "2024-07-23T22:32:16.894615Z" + "iopub.execute_input": "2024-07-26T02:30:14.616078Z", + "iopub.status.busy": "2024-07-26T02:30:14.615712Z", + "iopub.status.idle": "2024-07-26T02:30:14.619953Z", + "shell.execute_reply": "2024-07-26T02:30:14.619425Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -354,17 +354,17 @@ "execution_count": 9, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.897386Z", - "iopub.status.busy": "2024-07-23T22:32:16.897047Z", - "iopub.status.idle": "2024-07-23T22:32:16.902145Z", - "shell.execute_reply": "2024-07-23T22:32:16.901561Z" + "iopub.execute_input": "2024-07-26T02:30:14.622239Z", + "iopub.status.busy": "2024-07-26T02:30:14.621889Z", + "iopub.status.idle": "2024-07-26T02:30:14.626701Z", + "shell.execute_reply": "2024-07-26T02:30:14.626187Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -391,17 +391,17 @@ "execution_count": 10, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.904481Z", - "iopub.status.busy": "2024-07-23T22:32:16.904024Z", - "iopub.status.idle": "2024-07-23T22:32:16.909576Z", - "shell.execute_reply": "2024-07-23T22:32:16.908973Z" + "iopub.execute_input": "2024-07-26T02:30:14.628993Z", + "iopub.status.busy": "2024-07-26T02:30:14.628653Z", + "iopub.status.idle": "2024-07-26T02:30:14.633769Z", + "shell.execute_reply": "2024-07-26T02:30:14.633234Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 10, @@ -428,17 +428,17 @@ "execution_count": 11, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:16.911801Z", - "iopub.status.busy": "2024-07-23T22:32:16.911477Z", - "iopub.status.idle": "2024-07-23T22:32:16.917232Z", - "shell.execute_reply": "2024-07-23T22:32:16.916663Z" + "iopub.execute_input": "2024-07-26T02:30:14.636233Z", + "iopub.status.busy": "2024-07-26T02:30:14.635875Z", + "iopub.status.idle": "2024-07-26T02:30:14.641564Z", + "shell.execute_reply": "2024-07-26T02:30:14.640963Z" } }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 11, diff --git a/dev/how-to-guides/qiskit-sampler.html b/dev/how-to-guides/qiskit-sampler.html index 84f30c55a..4778ac296 100644 --- a/dev/how-to-guides/qiskit-sampler.html +++ b/dev/how-to-guides/qiskit-sampler.html @@ -457,10 +457,10 @@

Sampling from an LUCJ circuit for a closed-shell molecule 
-converged SCF energy = -108.835236570775
+converged SCF energy = -108.835236570774
 norb = 14
 nelec = (3, 3)
-E(CCSD) = -108.9630419334855  E_corr = -0.1278053627110065
+E(CCSD) = -108.9630419334854  E_corr = -0.1278053627110061
@@ -474,9 +474,9 @@

Sampling from an LUCJ circuit for a closed-shell molecule 
 SCF not converged.
-SCF energy = -75.3484557058996
+SCF energy = -75.3484557074732
 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) = -75.45619739146407  E_corr = -0.1077416855645157
+E(UCCSD) = -75.4561973911871  E_corr = -0.1077416837138922

diff --git a/dev/how-to-guides/qiskit-sampler.ipynb b/dev/how-to-guides/qiskit-sampler.ipynb index 23b5c4e3d..d3948b6df 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": "2024-07-23T22:32:18.773681Z", - "iopub.status.busy": "2024-07-23T22:32:18.773119Z", - "iopub.status.idle": "2024-07-23T22:32:19.462158Z", - "shell.execute_reply": "2024-07-23T22:32:19.461618Z" + "iopub.execute_input": "2024-07-26T02:30:16.706593Z", + "iopub.status.busy": "2024-07-26T02:30:16.706395Z", + "iopub.status.idle": "2024-07-26T02:30:17.395098Z", + "shell.execute_reply": "2024-07-26T02:30:17.394426Z" } }, "outputs": [], @@ -71,10 +71,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:19.466278Z", - "iopub.status.busy": "2024-07-23T22:32:19.465485Z", - "iopub.status.idle": "2024-07-23T22:32:19.531459Z", - "shell.execute_reply": "2024-07-23T22:32:19.530938Z" + "iopub.execute_input": "2024-07-26T02:30:17.398117Z", + "iopub.status.busy": "2024-07-26T02:30:17.397631Z", + "iopub.status.idle": "2024-07-26T02:30:17.460268Z", + "shell.execute_reply": "2024-07-26T02:30:17.459744Z" } }, "outputs": [ @@ -154,10 +154,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:19.534110Z", - "iopub.status.busy": "2024-07-23T22:32:19.533726Z", - "iopub.status.idle": "2024-07-23T22:32:19.871199Z", - "shell.execute_reply": "2024-07-23T22:32:19.870642Z" + "iopub.execute_input": "2024-07-26T02:30:17.462996Z", + "iopub.status.busy": "2024-07-26T02:30:17.462512Z", + "iopub.status.idle": "2024-07-26T02:30:17.765992Z", + "shell.execute_reply": "2024-07-26T02:30:17.765375Z" } }, "outputs": [ @@ -165,7 +165,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "converged SCF energy = -108.835236570775\n" + "converged SCF energy = -108.835236570774\n" ] }, { @@ -174,7 +174,7 @@ "text": [ "norb = 14\n", "nelec = (3, 3)\n", - "E(CCSD) = -108.9630419334855 E_corr = -0.1278053627110065\n" + "E(CCSD) = -108.9630419334854 E_corr = -0.1278053627110061\n" ] }, { @@ -185,9 +185,9 @@ " '0000000001110000000000000111': 10,\n", " '0000000000011100000000011100': 10,\n", " '0000000001011000000000010110': 9,\n", + " '0100000000100100000000000111': 5,\n", " '0001000001010000000000000111': 5,\n", " '0000000001011000100000000110': 4,\n", - " '0100000001001000000000000111': 4,\n", " '0000000000011100100000001100': 3,\n", " '0010000000011000000000010110': 3}" ] @@ -269,10 +269,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:19.873743Z", - "iopub.status.busy": "2024-07-23T22:32:19.873357Z", - "iopub.status.idle": "2024-07-23T22:32:20.412801Z", - "shell.execute_reply": "2024-07-23T22:32:20.412179Z" + "iopub.execute_input": "2024-07-26T02:30:17.768469Z", + "iopub.status.busy": "2024-07-26T02:30:17.768264Z", + "iopub.status.idle": "2024-07-26T02:30:18.302579Z", + "shell.execute_reply": "2024-07-26T02:30:18.301995Z" } }, "outputs": [ @@ -287,7 +287,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "SCF energy = -75.3484557058996\n" + "SCF energy = -75.3484557074732\n" ] }, { @@ -305,7 +305,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(UCCSD) = -75.45619739146407 E_corr = -0.1077416855645157\n" + "E(UCCSD) = -75.4561973911871 E_corr = -0.1077416837138922\n" ] }, { diff --git a/dev/searchindex.js b/dev/searchindex.js index 564838030..bc18f319b 100644 --- a/dev/searchindex.js +++ b/dev/searchindex.js @@ -1 +1 @@ -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, "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]], "ffsim.random": [[5, null]], "ffsim.testing": [[6, null]]}, "docnames": ["api/ffsim", "api/ffsim.contract", "api/ffsim.linalg", "api/ffsim.optimize", "api/ffsim.qiskit", "api/ffsim.random", "api/ffsim.testing", "api/index", "explanations/double-factorized", "explanations/hamiltonians", "explanations/index", 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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 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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]], "ffsim.random": [[5, null]], 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"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.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.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_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_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_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]], "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]], "string (ffsim.bitstringtype attribute)": [[0, "ffsim.BitstringType.STRING", false]], 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unitary cluster Jastrow (LUCJ) ansatz", "How to build and transpile Qiskit quantum circuits", "How to use ffsim\u2019s Qiskit Sampler primitive", "ffsim", "Installation", "Implementing Trotter simulation of the double-factorized Hamiltonian", "Tutorials"], "titleterms": {"": 20, "The": 11, "action": 9, "an": 20, "ansatz": [11, 15, 18], "api": 7, "applic": 8, "background": 8, "balanc": [11, 19], "brief": 8, "build": [15, 19, 23], "can": 20, "choos": 15, "circuit": [19, 20], "cite": 21, "class": 16, "close": 20, "cluster": [11, 13, 18, 19], "code": 21, "comput": 15, "content": 21, "contract": 1, "coulomb": [13, 19], "criteria": 20, "data": 9, "decomposit": 13, "determin": [13, 19], "diagon": [13, 19], "docker": 22, "doubl": [8, 13, 19, 23], "energi": 15, "entangl": 15, "evolut": [8, 12, 13, 19], "exampl": [20, 21], "explan": 10, "factor": [8, 13, 19, 23], "fermion": [13, 14], "fermionoper": 16, "ffsim": [0, 1, 2, 3, 4, 5, 6, 20, 21], "ffsimsampl": 20, "fock": [13, 19], "forg": 15, "formula": 8, "from": [20, 22], "gate": [13, 14, 19], "gener": [11, 18], "guid": 17, "hamiltonian": [8, 9, 12, 13, 19, 23], "hartre": [13, 19], "how": [15, 16, 17, 18, 19, 20], "implement": 23, "initi": 15, "instal": [21, 22], "jastrow": [11, 13, 18, 19], "linalg": 2, "linear": 18, "linearoper": 9, "local": [11, 13, 18], "lucj": [11, 18, 20], "merg": 13, "method": 18, "molecul": [15, 20], "molecular": 8, "more": 20, "number": [13, 19], "occup": 15, "open": 20, "oper": [9, 13, 15, 19], "optim": [3, 15, 18], "orbit": [12, 13, 19], "overview": 19, "pip": 22, "prepar": [13, 19], "primit": 20, "qiskit": [4, 19, 20], "quadrat": 12, "quantum": 19, "qubit": 13, "random": 5, "refer": [7, 15], "represent": [8, 9], "rotat": [12, 13, 19], "sampl": 20, "sampler": 20, "scipi": 9, "shell": 20, "simul": [13, 15, 18, 19, 23], "slater": [13, 19], "sourc": 22, "spin": [11, 19], "spinless": 14, "state": [14, 19], "sum": [13, 19], "suzuki": 8, "test": 6, "time": [8, 12], "transform": 19, "transpil": 19, "treat": 14, "trotter": [8, 13, 19, 23], "tutori": 24, "ucj": [11, 13, 18, 19], "unbalanc": [11, 19], "unitari": [11, 13, 18, 19], "us": [16, 20, 22], "vector": 14, "via": [8, 9], "within": 22}}) \ No newline at end of file diff --git a/dev/tutorials/double-factorized-trotter.html b/dev/tutorials/double-factorized-trotter.html index 2a821f323..f39343021 100644 --- a/dev/tutorials/double-factorized-trotter.html +++ b/dev/tutorials/double-factorized-trotter.html @@ -319,7 +319,7 @@

Build the Hamiltonian 
-converged SCF energy = -108.464957764796
+converged SCF energy = -108.464957764795
 norb = 8
 nelec = (5, 5)
@@ -456,7 +456,7 @@

Build the Hamiltonian 
-Maximum error in a tensor entry: 0.0366854173098351
+Maximum error in a tensor entry: 0.03668541730983277

@@ -597,7 +597,7 @@

Implement Trotter simulation 
-Fidelity of Trotter-evolved state with exact state: 0.9402435387541026
+Fidelity of Trotter-evolved state with exact state: 0.9402387920714972

The fidelity of the final result can be improved by increasing the number of Trotter steps.

@@ -624,7 +624,7 @@

Implement Trotter simulation 
-Fidelity of Trotter-evolved state with exact state: 0.9985212861540083
+Fidelity of Trotter-evolved state with exact state: 0.9985210983147164

In the code cell below, we reproduce the results of our manually implemented function using ffsim’s built-in implementation.

@@ -652,7 +652,7 @@

Implement Trotter simulation 
-Fidelity of Trotter-evolved state with exact state: 0.9985212861540445
+Fidelity of Trotter-evolved state with exact state: 0.9985210983146647

A higher order formula achieves a higher fidelity with fewer Trotter steps:

@@ -680,7 +680,7 @@

Implement Trotter simulation 
-Fidelity of Trotter-evolved state with exact state: 0.9996731164193019
+Fidelity of Trotter-evolved state with exact state: 0.9996731173230704

You’ve made it to the end of this tutorial!

diff --git a/dev/tutorials/double-factorized-trotter.ipynb b/dev/tutorials/double-factorized-trotter.ipynb index c4bf1261c..4c8566e87 100644 --- a/dev/tutorials/double-factorized-trotter.ipynb +++ b/dev/tutorials/double-factorized-trotter.ipynb @@ -18,10 +18,10 @@ "execution_count": 1, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:22.159866Z", - "iopub.status.busy": "2024-07-23T22:32:22.159677Z", - "iopub.status.idle": "2024-07-23T22:32:22.981232Z", - "shell.execute_reply": "2024-07-23T22:32:22.980641Z" + "iopub.execute_input": "2024-07-26T02:30:20.066089Z", + "iopub.status.busy": "2024-07-26T02:30:20.065808Z", + "iopub.status.idle": "2024-07-26T02:30:20.892018Z", + "shell.execute_reply": "2024-07-26T02:30:20.891393Z" } }, "outputs": [ @@ -29,7 +29,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "converged SCF energy = -108.464957764796\n" + "converged SCF energy = -108.464957764795\n" ] }, { @@ -80,10 +80,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:22.985729Z", - "iopub.status.busy": "2024-07-23T22:32:22.984358Z", - "iopub.status.idle": "2024-07-23T22:32:22.989085Z", - "shell.execute_reply": "2024-07-23T22:32:22.988617Z" + "iopub.execute_input": "2024-07-26T02:30:20.896601Z", + "iopub.status.busy": "2024-07-26T02:30:20.895255Z", + "iopub.status.idle": "2024-07-26T02:30:20.900547Z", + "shell.execute_reply": "2024-07-26T02:30:20.900092Z" } }, "outputs": [], @@ -106,10 +106,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:22.991478Z", - "iopub.status.busy": "2024-07-23T22:32:22.991139Z", - "iopub.status.idle": "2024-07-23T22:32:22.996007Z", - "shell.execute_reply": "2024-07-23T22:32:22.995504Z" + "iopub.execute_input": "2024-07-26T02:30:20.903017Z", + "iopub.status.busy": "2024-07-26T02:30:20.902549Z", + "iopub.status.idle": "2024-07-26T02:30:20.907438Z", + "shell.execute_reply": "2024-07-26T02:30:20.906956Z" } }, "outputs": [ @@ -172,10 +172,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:22.998227Z", - "iopub.status.busy": "2024-07-23T22:32:22.997926Z", - "iopub.status.idle": "2024-07-23T22:32:23.002168Z", - "shell.execute_reply": "2024-07-23T22:32:23.001677Z" + "iopub.execute_input": "2024-07-26T02:30:20.909749Z", + "iopub.status.busy": "2024-07-26T02:30:20.909425Z", + "iopub.status.idle": "2024-07-26T02:30:20.913584Z", + "shell.execute_reply": "2024-07-26T02:30:20.913107Z" } }, "outputs": [ @@ -208,10 +208,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.004457Z", - "iopub.status.busy": "2024-07-23T22:32:23.004124Z", - "iopub.status.idle": "2024-07-23T22:32:23.007905Z", - "shell.execute_reply": "2024-07-23T22:32:23.007438Z" + "iopub.execute_input": "2024-07-26T02:30:20.915897Z", + "iopub.status.busy": "2024-07-26T02:30:20.915541Z", + "iopub.status.idle": "2024-07-26T02:30:20.919486Z", + "shell.execute_reply": "2024-07-26T02:30:20.918990Z" } }, "outputs": [ @@ -242,10 +242,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.010433Z", - "iopub.status.busy": "2024-07-23T22:32:23.009955Z", - "iopub.status.idle": "2024-07-23T22:32:23.028692Z", - "shell.execute_reply": "2024-07-23T22:32:23.028215Z" + "iopub.execute_input": "2024-07-26T02:30:20.921553Z", + "iopub.status.busy": "2024-07-26T02:30:20.921363Z", + "iopub.status.idle": "2024-07-26T02:30:20.944195Z", + "shell.execute_reply": "2024-07-26T02:30:20.943703Z" } }, "outputs": [ @@ -253,7 +253,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Maximum error in a tensor entry: 0.0366854173098351\n" + "Maximum error in a tensor entry: 0.03668541730983277\n" ] } ], @@ -302,10 +302,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.031049Z", - "iopub.status.busy": "2024-07-23T22:32:23.030662Z", - "iopub.status.idle": "2024-07-23T22:32:23.034937Z", - "shell.execute_reply": "2024-07-23T22:32:23.034466Z" + "iopub.execute_input": "2024-07-26T02:30:20.946610Z", + "iopub.status.busy": "2024-07-26T02:30:20.946258Z", + "iopub.status.idle": "2024-07-26T02:30:20.950335Z", + "shell.execute_reply": "2024-07-26T02:30:20.949843Z" } }, "outputs": [], @@ -360,10 +360,10 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.037172Z", - "iopub.status.busy": "2024-07-23T22:32:23.036832Z", - "iopub.status.idle": "2024-07-23T22:32:23.040500Z", - "shell.execute_reply": "2024-07-23T22:32:23.039904Z" + "iopub.execute_input": "2024-07-26T02:30:20.952435Z", + "iopub.status.busy": "2024-07-26T02:30:20.952242Z", + "iopub.status.idle": "2024-07-26T02:30:20.955825Z", + "shell.execute_reply": "2024-07-26T02:30:20.955345Z" } }, "outputs": [], @@ -400,10 +400,10 @@ "execution_count": 9, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.042799Z", - "iopub.status.busy": "2024-07-23T22:32:23.042440Z", - "iopub.status.idle": "2024-07-23T22:32:23.100212Z", - "shell.execute_reply": "2024-07-23T22:32:23.099662Z" + "iopub.execute_input": "2024-07-26T02:30:20.958140Z", + "iopub.status.busy": "2024-07-26T02:30:20.957721Z", + "iopub.status.idle": "2024-07-26T02:30:21.015611Z", + "shell.execute_reply": "2024-07-26T02:30:21.014968Z" } }, "outputs": [], @@ -439,10 +439,10 @@ "execution_count": 10, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.104134Z", - "iopub.status.busy": "2024-07-23T22:32:23.103026Z", - "iopub.status.idle": "2024-07-23T22:32:23.153546Z", - "shell.execute_reply": "2024-07-23T22:32:23.153026Z" + "iopub.execute_input": "2024-07-26T02:30:21.019706Z", + "iopub.status.busy": "2024-07-26T02:30:21.018540Z", + "iopub.status.idle": "2024-07-26T02:30:21.069515Z", + "shell.execute_reply": "2024-07-26T02:30:21.068997Z" } }, "outputs": [ @@ -450,7 +450,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9402435387541026\n" + "Fidelity of Trotter-evolved state with exact state: 0.9402387920714972\n" ] } ], @@ -480,10 +480,10 @@ "execution_count": 11, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.155729Z", - "iopub.status.busy": "2024-07-23T22:32:23.155540Z", - "iopub.status.idle": "2024-07-23T22:32:23.369803Z", - "shell.execute_reply": "2024-07-23T22:32:23.369296Z" + "iopub.execute_input": "2024-07-26T02:30:21.072027Z", + "iopub.status.busy": "2024-07-26T02:30:21.071666Z", + "iopub.status.idle": "2024-07-26T02:30:21.284884Z", + "shell.execute_reply": "2024-07-26T02:30:21.284270Z" } }, "outputs": [ @@ -491,7 +491,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9985212861540083\n" + "Fidelity of Trotter-evolved state with exact state: 0.9985210983147164\n" ] } ], @@ -521,10 +521,10 @@ "execution_count": 12, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.372021Z", - "iopub.status.busy": "2024-07-23T22:32:23.371832Z", - "iopub.status.idle": "2024-07-23T22:32:23.503661Z", - "shell.execute_reply": "2024-07-23T22:32:23.503137Z" + "iopub.execute_input": "2024-07-26T02:30:21.287479Z", + "iopub.status.busy": "2024-07-26T02:30:21.287091Z", + "iopub.status.idle": "2024-07-26T02:30:21.414910Z", + "shell.execute_reply": "2024-07-26T02:30:21.414289Z" } }, "outputs": [ @@ -532,7 +532,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9985212861540445\n" + "Fidelity of Trotter-evolved state with exact state: 0.9985210983146647\n" ] } ], @@ -563,10 +563,10 @@ "execution_count": 13, "metadata": { "execution": { - "iopub.execute_input": "2024-07-23T22:32:23.506087Z", - "iopub.status.busy": "2024-07-23T22:32:23.505870Z", - "iopub.status.idle": "2024-07-23T22:32:23.609736Z", - "shell.execute_reply": "2024-07-23T22:32:23.609161Z" + "iopub.execute_input": "2024-07-26T02:30:21.417207Z", + "iopub.status.busy": "2024-07-26T02:30:21.417017Z", + "iopub.status.idle": "2024-07-26T02:30:21.518377Z", + "shell.execute_reply": "2024-07-26T02:30:21.517863Z" } }, "outputs": [ @@ -574,7 +574,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity of Trotter-evolved state with exact state: 0.9996731164193019\n" + "Fidelity of Trotter-evolved state with exact state: 0.9996731173230704\n" ] } ],