gh-40390: remove some unused variables in libs/
    
found using cython-lint

### 📝 Checklist

- [x] The title is concise and informative.
- [x] The description explains in detail what this PR is about.
    
URL: #40390
Reported by: Frédéric Chapoton
Reviewer(s): Travis Scrimshaw

Author: Release Manager

src/sage/libs/flint/fmpz_poly_sage.pyx

@@ -51,7 +51,6 @@ cdef class Fmpz_poly(SageObject):
             3  3 5 7
         """
         cdef Py_ssize_t i
-        cdef long c
         cdef Integer w
         if isinstance(v, str):
             if not fmpz_poly_set_str(self.poly, str_to_bytes(v)):

src/sage/libs/gap/element.pyx

@@ -3020,8 +3020,6 @@ cdef class GapElement_Permutation(GapElement):
             sage: type(_)
             <class 'sage.groups.perm_gps.permgroup_element.PermutationGroupElement'>
         """
-        cdef PermutationGroupElement one_c
-
         libgap = self.parent()
         lst = libgap.ListPerm(self)
 

src/sage/libs/gap/util.pyx

@@ -69,7 +69,6 @@ cdef class ObjWrapper():
             sage: x == y
             True
         """
-        cdef result
         cdef Obj self_value = self.value
         cdef Obj other_value = other.value
         if op == Py_LT:
@@ -350,7 +349,7 @@ cdef Obj gap_eval(str gap_string) except? NULL:
     """
     initialize()
     cdef Obj result
-    cdef int i, j, nresults
+    cdef int nresults
 
     # Careful: We need to keep a reference to the bytes object here
     # so that Cython doesn't deallocate it before GAP is done with

src/sage/libs/lcalc/lcalc_Lfunction.pyx

@@ -311,18 +311,19 @@ cdef class Lfunction:
             [14.1347251417..., 21.0220396387..., 25.0108575801...]
         """
         cdef doublevec result
-        cdef double myresult
         cdef int i
         cdef RealNumber real_T1 = RRR(T1)
         cdef RealNumber real_T2 = RRR(T2)
         cdef RealNumber real_stepsize = RRR(stepsize)
         sig_on()
-        self._find_zeros_v( mpfr_get_d(real_T1.value, MPFR_RNDN), mpfr_get_d(real_T2.value, MPFR_RNDN), mpfr_get_d(real_stepsize.value, MPFR_RNDN),&result)
+        self._find_zeros_v(mpfr_get_d(real_T1.value, MPFR_RNDN),
+                           mpfr_get_d(real_T2.value, MPFR_RNDN),
+                           mpfr_get_d(real_stepsize.value, MPFR_RNDN), &result)
         sig_off()
-        i=result.size()
+        i = result.size()
         returnvalue = []
         for i in range(result.size()):
-            returnvalue.append(  RRR(result.ind(i)))
+            returnvalue.append(RRR(result.ind(i)))
         result.clear()
         return returnvalue
 

src/sage/libs/meataxe.pyx

@@ -51,10 +51,9 @@ cdef Matrix_t *rawMatrix(int Field, list entries) except NULL:
     """
     cdef Matrix_t *M = MatAlloc(Field, len(entries), len(entries[0]))
     cdef PTR x = M.Data
-    cdef int idx, i, j
+    cdef int i, j
     cdef list dt_i
     for i in range(M.Nor):
-        idx = 0
         dt_i = entries[i]
         for j in range(M.Noc):
             FfInsert(x, j, FfFromInt(dt_i[j]))

src/sage/libs/mpmath/ext_impl.pyx

@@ -267,7 +267,7 @@ cdef MPF_set_tuple(MPF *x, tuple value):
     """
     #cdef int sign
     cdef Integer man
-    sign, _man, exp, bc = value
+    sign, _man, exp, _ = value
     if isinstance(_man, Integer):
         man = <Integer>_man
     else:

src/sage/libs/mpmath/utils.pyx

@@ -164,8 +164,7 @@ cdef mpfr_from_mpfval(mpfr_t res, tuple x):
     cdef int sign
     cdef Integer man
     cdef long exp
-    cdef long bc
-    sign, man, exp, bc = x
+    sign, man, exp, _ = x
     if man:
         mpfr_set_z(res, man.value, MPFR_RNDZ)
         if sign:
@@ -320,7 +319,6 @@ def sage_to_mpmath(x, prec):
         sage: a.sage_to_mpmath({'n':0.5}, 53)
         {'n': mpf('0.5')}
     """
-    cdef RealNumber y
     if isinstance(x, Element):
         if isinstance(x, Integer):
             return int(<Integer>x)
@@ -340,7 +338,7 @@ def sage_to_mpmath(x, prec):
     if isinstance(x, (tuple, list)):
         return type(x)([sage_to_mpmath(v, prec) for v in x])
     if isinstance(x, dict):
-        return dict([(k, sage_to_mpmath(v, prec)) for (k, v) in x.items()])
+        return {k: sage_to_mpmath(v, prec) for k, v in x.items()}
     return x
 
 

src/sage/libs/ntl/ntl_ZZ_p.pyx

@@ -112,7 +112,6 @@ cdef class ntl_ZZ_p():
         # self.c._assert_is_current_modulus()  # The context was restored in __new__
 
         cdef ZZ_c temp, num, den
-        cdef long failed
         if v is not None:
             if isinstance(v, ntl_ZZ_p):
                 self.x = (<ntl_ZZ_p>v).x

src/sage/libs/ntl/ntl_mat_ZZ.pyx

@@ -228,9 +228,8 @@ cdef class ntl_mat_ZZ():
             sage: M != 0
             True
         """
-        cdef ntl_mat_ZZ b
         try:
-            b = <ntl_mat_ZZ?>other
+            <ntl_mat_ZZ?>other
         except TypeError:
             return NotImplemented
         return PyObject_RichCompare(self.list(), other.list(), op)

src/sage/libs/pari/convert_sage.pyx

@@ -274,7 +274,6 @@ cpdef gen_to_sage(Gen z, locals=None):
     cdef long t = typ(g)
     cdef long tx, ty
     cdef Gen real, imag, prec, xprec, yprec
-    cdef Py_ssize_t i, j, nr, nc
 
     if t == t_INT:
         return Integer(z)