Updated manifest.json to only include required dependencies

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: na
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---

Author: anandkaranubc

lib/node_modules/@stdlib/stats/base/dists/arcsine/mode/manifest.json

@@ -38,11 +38,8 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
-        "@stdlib/math/base/napi/ternary",
-        "@stdlib/math/base/assert/is-nan",
-        "@stdlib/math/base/special/asin",
-        "@stdlib/math/base/special/sqrt",
-        "@stdlib/constants/float64/pi"
+        "@stdlib/math/base/napi/binary",
+        "@stdlib/math/base/assert/is-nan"
       ]
     },
     {
@@ -57,10 +54,7 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
-        "@stdlib/math/base/assert/is-nan",
-        "@stdlib/math/base/special/asin",
-        "@stdlib/math/base/special/sqrt",
-        "@stdlib/constants/float64/pi"
+        "@stdlib/math/base/assert/is-nan"
       ]
     },
     {
@@ -75,10 +69,7 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
-        "@stdlib/math/base/assert/is-nan",
-        "@stdlib/math/base/special/asin",
-        "@stdlib/math/base/special/sqrt",
-        "@stdlib/constants/float64/pi"
+        "@stdlib/math/base/assert/is-nan"
       ]
     }
   ]