fix: remove unused sqrt and eps dependencies from chisquare/variance manifest

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: na
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---

Author: Planeshifter

lib/node_modules/@stdlib/stats/base/dists/chisquare/variance/manifest.json

@@ -39,8 +39,7 @@
       "libpath": [],
       "dependencies": [
         "@stdlib/math/base/napi/unary",
-        "@stdlib/math/base/assert/is-nan",
-        "@stdlib/math/base/special/sqrt"
+        "@stdlib/math/base/assert/is-nan"
       ]
     },
     {
@@ -55,9 +54,7 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
-        "@stdlib/math/base/assert/is-nan",
-        "@stdlib/math/base/special/sqrt",
-        "@stdlib/constants/float64/eps"
+        "@stdlib/math/base/assert/is-nan"
       ]
     },
     {
@@ -72,8 +69,7 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
-        "@stdlib/math/base/assert/is-nan",
-        "@stdlib/math/base/special/sqrt"
+        "@stdlib/math/base/assert/is-nan"
       ]
     }
   ]