diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
index 1c47a9ba4..67b00094c 100644
Binary files a/.doctrees/environment.pickle and b/.doctrees/environment.pickle differ
diff --git a/.doctrees/nbsphinx/tutorials/01-introduction.ipynb b/.doctrees/nbsphinx/tutorials/01-introduction.ipynb
index 540242e5d..0c429a7c6 100644
--- a/.doctrees/nbsphinx/tutorials/01-introduction.ipynb
+++ b/.doctrees/nbsphinx/tutorials/01-introduction.ipynb
@@ -16,10 +16,10 @@
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@@ -62,10 +62,10 @@
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@@ -92,10 +92,10 @@
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diff --git a/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb b/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb
index cc157430b..0d3012b30 100644
--- a/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb
+++ b/.doctrees/nbsphinx/tutorials/02-orbital-rotation.ipynb
@@ -43,10 +43,10 @@
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@@ -111,10 +111,10 @@
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@@ -160,10 +160,10 @@
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@@ -203,10 +203,10 @@
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diff --git a/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb b/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb
index aedfcb24c..39723553c 100644
--- a/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb
+++ b/.doctrees/nbsphinx/tutorials/03-double-factorized.ipynb
@@ -43,10 +43,10 @@
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    "outputs": [
@@ -93,10 +93,10 @@
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@@ -227,10 +227,10 @@
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@@ -285,10 +285,10 @@
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@@ -325,10 +325,10 @@
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@@ -367,10 +367,10 @@
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@@ -409,10 +409,10 @@
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@@ -450,10 +450,10 @@
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@@ -493,10 +493,10 @@
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@@ -535,10 +535,10 @@
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diff --git a/.doctrees/nbsphinx/tutorials/04-lucj.ipynb b/.doctrees/nbsphinx/tutorials/04-lucj.ipynb
index 2dc4361a3..516d47fa1 100644
--- a/.doctrees/nbsphinx/tutorials/04-lucj.ipynb
+++ b/.doctrees/nbsphinx/tutorials/04-lucj.ipynb
@@ -14,10 +14,10 @@
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    "outputs": [
@@ -80,10 +80,10 @@
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@@ -145,10 +145,10 @@
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@@ -222,10 +222,10 @@
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     }
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    "outputs": [
diff --git a/tutorials/01-introduction.ipynb b/tutorials/01-introduction.ipynb
index 540242e5d..0c429a7c6 100644
--- a/tutorials/01-introduction.ipynb
+++ b/tutorials/01-introduction.ipynb
@@ -16,10 +16,10 @@
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@@ -62,10 +62,10 @@
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@@ -92,10 +92,10 @@
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     }
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    "outputs": [],
diff --git a/tutorials/02-orbital-rotation.ipynb b/tutorials/02-orbital-rotation.ipynb
index cc157430b..0d3012b30 100644
--- a/tutorials/02-orbital-rotation.ipynb
+++ b/tutorials/02-orbital-rotation.ipynb
@@ -43,10 +43,10 @@
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     }
    },
    "outputs": [],
@@ -111,10 +111,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:37.121332Z",
-     "iopub.status.busy": "2023-09-22T19:30:37.119777Z",
-     "iopub.status.idle": "2023-09-22T19:30:37.152055Z",
-     "shell.execute_reply": "2023-09-22T19:30:37.151405Z"
+     "iopub.execute_input": "2023-09-22T19:53:04.279292Z",
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+     "iopub.status.idle": "2023-09-22T19:53:04.305748Z",
+     "shell.execute_reply": "2023-09-22T19:53:04.305171Z"
     }
    },
    "outputs": [],
@@ -160,10 +160,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:37.156910Z",
-     "iopub.status.busy": "2023-09-22T19:30:37.155585Z",
-     "iopub.status.idle": "2023-09-22T19:30:37.168750Z",
-     "shell.execute_reply": "2023-09-22T19:30:37.168169Z"
+     "iopub.execute_input": "2023-09-22T19:53:04.310108Z",
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+     "iopub.status.idle": "2023-09-22T19:53:04.320725Z",
+     "shell.execute_reply": "2023-09-22T19:53:04.320159Z"
     }
    },
    "outputs": [],
@@ -203,10 +203,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:37.172518Z",
-     "iopub.status.busy": "2023-09-22T19:30:37.172034Z",
-     "iopub.status.idle": "2023-09-22T19:30:37.178407Z",
-     "shell.execute_reply": "2023-09-22T19:30:37.177732Z"
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+     "shell.execute_reply": "2023-09-22T19:53:04.329424Z"
     }
    },
    "outputs": [],
diff --git a/tutorials/03-double-factorized.ipynb b/tutorials/03-double-factorized.ipynb
index aedfcb24c..39723553c 100644
--- a/tutorials/03-double-factorized.ipynb
+++ b/tutorials/03-double-factorized.ipynb
@@ -43,10 +43,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.257036Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.256574Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.742172Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.741406Z"
+     "iopub.execute_input": "2023-09-22T19:53:05.958249Z",
+     "iopub.status.busy": "2023-09-22T19:53:05.957793Z",
+     "iopub.status.idle": "2023-09-22T19:53:06.370275Z",
+     "shell.execute_reply": "2023-09-22T19:53:06.369691Z"
     }
    },
    "outputs": [
@@ -93,10 +93,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.758294Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.757655Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.765135Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.764594Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.384087Z",
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+     "iopub.status.idle": "2023-09-22T19:53:06.389800Z",
+     "shell.execute_reply": "2023-09-22T19:53:06.389300Z"
     }
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    "outputs": [
@@ -227,10 +227,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.768841Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.768322Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.774310Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.773700Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.392672Z",
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+     "shell.execute_reply": "2023-09-22T19:53:06.396553Z"
     }
    },
    "outputs": [],
@@ -285,10 +285,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.777454Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.776976Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.781915Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.781127Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.399825Z",
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+     "iopub.status.idle": "2023-09-22T19:53:06.403276Z",
+     "shell.execute_reply": "2023-09-22T19:53:06.402807Z"
     }
    },
    "outputs": [],
@@ -325,10 +325,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.785279Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.784651Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.790563Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.789717Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.406048Z",
+     "iopub.status.busy": "2023-09-22T19:53:06.405663Z",
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+     "shell.execute_reply": "2023-09-22T19:53:06.409966Z"
     }
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    "outputs": [
@@ -367,10 +367,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.793859Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.793254Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.807256Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.806675Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.413074Z",
+     "iopub.status.busy": "2023-09-22T19:53:06.412689Z",
+     "iopub.status.idle": "2023-09-22T19:53:06.423739Z",
+     "shell.execute_reply": "2023-09-22T19:53:06.423167Z"
     }
    },
    "outputs": [
@@ -409,10 +409,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.814572Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.814097Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.823846Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.823259Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.426440Z",
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+     "shell.execute_reply": "2023-09-22T19:53:06.433691Z"
     }
    },
    "outputs": [
@@ -450,10 +450,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.826821Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.826570Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.874378Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.873793Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.436537Z",
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+     "shell.execute_reply": "2023-09-22T19:53:06.470729Z"
     }
    },
    "outputs": [
@@ -493,10 +493,10 @@
    "execution_count": 9,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.877822Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.877215Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.918699Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.918032Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.474122Z",
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+     "shell.execute_reply": "2023-09-22T19:53:06.495881Z"
     }
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    "outputs": [
@@ -535,10 +535,10 @@
    "execution_count": 10,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:39.922927Z",
-     "iopub.status.busy": "2023-09-22T19:30:39.921522Z",
-     "iopub.status.idle": "2023-09-22T19:30:39.939875Z",
-     "shell.execute_reply": "2023-09-22T19:30:39.939317Z"
+     "iopub.execute_input": "2023-09-22T19:53:06.499194Z",
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+     "shell.execute_reply": "2023-09-22T19:53:06.509139Z"
     }
    },
    "outputs": [
diff --git a/tutorials/04-lucj.ipynb b/tutorials/04-lucj.ipynb
index 2dc4361a3..516d47fa1 100644
--- a/tutorials/04-lucj.ipynb
+++ b/tutorials/04-lucj.ipynb
@@ -14,10 +14,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:42.108980Z",
-     "iopub.status.busy": "2023-09-22T19:30:42.108579Z",
-     "iopub.status.idle": "2023-09-22T19:30:42.587525Z",
-     "shell.execute_reply": "2023-09-22T19:30:42.586762Z"
+     "iopub.execute_input": "2023-09-22T19:53:08.522799Z",
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+     "iopub.status.idle": "2023-09-22T19:53:08.905810Z",
+     "shell.execute_reply": "2023-09-22T19:53:08.905249Z"
     }
    },
    "outputs": [
@@ -80,10 +80,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:42.592109Z",
-     "iopub.status.busy": "2023-09-22T19:30:42.591578Z",
-     "iopub.status.idle": "2023-09-22T19:30:42.734675Z",
-     "shell.execute_reply": "2023-09-22T19:30:42.734084Z"
+     "iopub.execute_input": "2023-09-22T19:53:08.909247Z",
+     "iopub.status.busy": "2023-09-22T19:53:08.908621Z",
+     "iopub.status.idle": "2023-09-22T19:53:09.007711Z",
+     "shell.execute_reply": "2023-09-22T19:53:09.007181Z"
     }
    },
    "outputs": [
@@ -145,10 +145,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-22T19:30:42.739459Z",
-     "iopub.status.busy": "2023-09-22T19:30:42.738348Z",
-     "iopub.status.idle": "2023-09-22T19:30:42.900948Z",
-     "shell.execute_reply": "2023-09-22T19:30:42.900338Z"
+     "iopub.execute_input": "2023-09-22T19:53:09.011775Z",
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+     "iopub.status.idle": "2023-09-22T19:53:09.141283Z",
+     "shell.execute_reply": "2023-09-22T19:53:09.140749Z"
     }
    },
    "outputs": [
@@ -222,10 +222,10 @@
    "execution_count": 4,
    "metadata": {
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-     "iopub.execute_input": "2023-09-22T19:30:42.906406Z",
-     "iopub.status.busy": "2023-09-22T19:30:42.904546Z",
-     "iopub.status.idle": "2023-09-22T19:30:43.125956Z",
-     "shell.execute_reply": "2023-09-22T19:30:43.125329Z"
+     "iopub.execute_input": "2023-09-22T19:53:09.145944Z",
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+     "iopub.status.idle": "2023-09-22T19:53:09.296696Z",
+     "shell.execute_reply": "2023-09-22T19:53:09.296176Z"
     }
    },
    "outputs": [