user: Please show me the C implementation that matches the assembly code listed below:

```asm
<coset_rep>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0xd8,%rsp
  mov    %rdi,%r12
  mov    %esi,%ebp
  mov    %rdx,0x68(%rsp)
  mov    %ecx,0x64(%rsp)
  mov    %r8,0x98(%rsp)
  mov    %r9,0xa0(%rsp)
  mov    0x110(%rsp),%rax
  mov    %rax,0x8(%rsp)
  mov    0x120(%rsp),%rax
  mov    %rax,0xa8(%rsp)
  mov    %fs:0x28,%rax
  mov    %rax,0xc8(%rsp)
  xor    %eax,%eax
  cmpl   $0x0,(%r9)
  je     L31
  lea    0x0(,%rsi,4),%ebx
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,0x50(%rsp)
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,0x70(%rsp)
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,0x78(%rsp)
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,%r14
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,%r15
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,0x38(%rsp)
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,0x10(%rsp)
  mov    %ebx,%edi
  call   <malloc@plt>
  mov    %rax,0x18(%rsp)
  mov    %ebp,%edi
  imul   %ebp,%edi
  shl    $0x2,%edi
  call   <malloc@plt>
  mov    %rax,0x20(%rsp)
  mov    0xa0(%rsp),%rbx
  mov    %ebp,%edi
  imul   (%rbx),%edi
  shl    $0x2,%edi
  call   <malloc@plt>
  mov    %rax,%r13
  mov    %rax,0x28(%rsp)
  mov    %ebp,%edi
  imul   (%rbx),%edi
  shl    $0x2,%edi
  call   <malloc@plt>
  mov    %rax,0x80(%rsp)
  mov    %ebp,%edx
  mov    %r14,%rsi
  mov    %r12,%rdi
  call   <copy_list@plt>
  mov    %ebp,%edx
  imul   (%rbx),%edx
  mov    %r13,%rsi
  mov    0x98(%rsp),%rdi
  call   <copy_list@plt>
  mov    (%rbx),%eax
  mov    %eax,0x60(%rsp)
  mov    0x64(%rsp),%eax
  test   %eax,%eax
  jle    L67
  mov    0x68(%rsp),%rsi
  mov    %rsi,%rcx
  lea    -0x1(%rax),%eax
  lea    0x4(%rsi,%rax,4),%rax
  mov    %rax,0x40(%rsp)
  mov    0x118(%rsp),%eax
  lea    -0x1(%rax),%eax
  mov    0x8(%rsp),%rsi
  lea    0x4(%rsi,%rax,4),%rax
  mov    %rax,0x90(%rsp)
  lea    0xbc(%rsp),%rax
  mov    %rax,0x48(%rsp)
  mov    %r14,0x58(%rsp)
  mov    %r15,0x88(%rsp)
  mov    %rcx,%r14
  jmp    L0
L31:
  mov    %esi,%edx
  mov    0xa8(%rsp),%rsi
  call   <copy_list@plt>
  jmp    L115
L22:
  sub    $0x8,%rsp
  lea    0xcc(%rsp),%rax
  push   %rax
  mov    0x90(%rsp),%r15
  mov    %r15,%r9
  mov    %ebp,%r8d
  mov    0x70(%rsp),%ecx
  mov    0x38(%rsp),%rbx
  mov    %rbx,%rdx
  mov    $0x1,%esi
  mov    0x40(%rsp),%rdi
  call   <stabilizer@plt>
  mov    %ebp,%eax
  imul   0xd4(%rsp),%eax
  mov    %eax,%edx
  mov    %rbx,%rsi
  mov    %r15,%rdi
  call   <copy_list@plt>
  mov    0xd4(%rsp),%eax
  mov    %eax,0x70(%rsp)
  add    $0x10,%rsp
L95:
  add    $0x4,%r14
  cmp    0x40(%rsp),%r14
  je     L97
L0:
  mov    %r14,0x30(%rsp)
  sub    $0x8,%rsp
  push   $0x1
  push   0x28(%rsp)
  push   0x38(%rsp)
  mov    0x68(%rsp),%r9
  mov    0x58(%rsp),%rbx
  mov    %rbx,%r8
  mov    %ebp,%ecx
  mov    0x80(%rsp),%edx
  mov    0x48(%rsp),%rsi
  mov    (%r14),%edi
  call   <one_schreier_orbit@plt>
  add    $0x20,%rsp
  lea    0xc0(%rsp),%r9
  mov    0x10(%rsp),%r15
  mov    %r15,%r8
  mov    0x118(%rsp),%ecx
  mov    0x8(%rsp),%rdx
  mov    0xbc(%rsp),%esi
  mov    %rbx,%rdi
  call   <intersection@plt>
  mov    0xc0(%rsp),%r13d
  test   %r13d,%r13d
  je     L95
  jle    L54
  mov    %r15,%rax
  mov    %r15,%rbx
  mov    $0x0,%r12d
  mov    0x50(%rsp),%r15
  sub    %rax,%r15
  mov    0x58(%rsp),%r13
L32:
  mov    %ebp,%edx
  mov    %r13,%rsi
  mov    (%rbx),%edi
  call   <onpoints@plt>
  mov    %eax,(%r15,%rbx,1)
  add    $0x1,%r12d
  mov    0xc0(%rsp),%eax
  add    $0x4,%rbx
  cmp    %r12d,%eax
  jg     L32
  mov    %eax,%r13d
L54:
  mov    0x64(%rsp),%r8d
  mov    0x68(%rsp),%rcx
  mov    %r13d,%edx
  mov    0x70(%rsp),%rbx
  mov    %rbx,%rsi
  mov    0x50(%rsp),%r15
  mov    %r15,%rdi
  call   <sortB@plt>
  mov    %r13d,%edx
  mov    %r15,%rsi
  mov    (%rbx),%edi
  call   <position@plt>
  cltq
  mov    0x10(%rsp),%rcx
  mov    -0x4(%rcx,%rax,4),%edi
  mov    %ebp,%r8d
  mov    0x78(%rsp),%rbx
  mov    %rbx,%rcx
  mov    0x18(%rsp),%rdx
  mov    0x20(%rsp),%rsi
  call   <trace_schreier@plt>
  mov    %ebp,%ecx
  mov    0x88(%rsp),%r13
  mov    %r13,%rdx
  mov    0x58(%rsp),%r15
  mov    %r15,%rsi
  mov    %rbx,%rdi
  call   <product@plt>
  mov    %ebp,%edx
  mov    %r15,%rsi
  mov    %r13,%rdi
  call   <copy_list@plt>
  mov    %ebp,%edx
  mov    %r13,%rsi
  mov    %rbx,%rdi
  call   <inverse@plt>
  cmpl   $0x0,0x118(%rsp)
  jle    L22
  mov    0x8(%rsp),%rbx
  mov    0x90(%rsp),%r12
L58:
  mov    %ebp,%edx
  mov    %r13,%rsi
  mov    (%rbx),%edi
  call   <onpoints@plt>
  mov    %eax,(%rbx)
  add    $0x4,%rbx
  cmp    %rbx,%r12
  jne    L58
  jmp    L22
L97:
  mov    0x58(%rsp),%r14
  mov    0x88(%rsp),%r15
L67:
  mov    %ebp,%edx
  mov    0xa8(%rsp),%rsi
  mov    %r14,%rdi
  call   <copy_list@plt>
  mov    %ebp,%edx
  mov    0x60(%rsp),%ebx
  imul   %ebx,%edx
  mov    0x98(%rsp),%rsi
  mov    0x28(%rsp),%rbp
  mov    %rbp,%rdi
  call   <copy_list@plt>
  mov    0xa0(%rsp),%rax
  mov    %ebx,(%rax)
  mov    0x50(%rsp),%rdi
  call   <free@plt>
  mov    0x70(%rsp),%rdi
  call   <free@plt>
  mov    0x78(%rsp),%rdi
  call   <free@plt>
  mov    %r14,%rdi
  call   <free@plt>
  mov    %r15,%rdi
  call   <free@plt>
  mov    0x38(%rsp),%rdi
  call   <free@plt>
  mov    0x10(%rsp),%rdi
  call   <free@plt>
  mov    0x18(%rsp),%rdi
  call   <free@plt>
  mov    0x20(%rsp),%rdi
  call   <free@plt>
  mov    %rbp,%rdi
  call   <free@plt>
  mov    0x80(%rsp),%rdi
  call   <free@plt>
L115:
  mov    0xc8(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L77
  add    $0xd8,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L77:
  call   <__stack_chk_fail@plt>
```

assistant: ```c
void coset_rep(int *p, int n, int *base, int bl, int *GS, int *m, int *freeps, int fl, int *cr) {
  if (*m == 0) {
    copy_list(p, cr, n);
    return;
  }
  int i, j, k, b, pp;
  int *deltap = (int *)malloc(n * sizeof(int)), deltapl;
  int *deltapsorted = (int *)malloc(n * sizeof(int));
  int *om = (int *)malloc(n * sizeof(int));
  int *PERM = (int *)malloc(n * sizeof(int));
  int *perm2 = (int *)malloc(n * sizeof(int));
  int *orbit = (int *)malloc(n * sizeof(int)), ol;
  int *orbit1 = (int *)malloc(n * sizeof(int)), o1l;
  int *w = (int *)malloc(n * sizeof(int));
  int *nu = (int *)malloc(n * n * sizeof(int));
  int *genset = (int *)malloc(*m * n * sizeof(int)), gensetl;
  int *stab = (int *)malloc(*m * n * sizeof(int)), mm;
  copy_list(p, PERM, n);
  copy_list(GS, genset, *m * n);
  gensetl = *m;
  for (i = 0; i < bl; i++) {
    b = base[i];
    one_schreier_orbit(b, genset, gensetl, n, orbit, &ol, nu, w, 1);
    intersection(orbit, ol, freeps, fl, orbit1, &o1l);
    if (o1l == 0)
      continue;
    for (j = 0; j < o1l; j++) {
      deltap[j] = onpoints(orbit1[j], PERM, n);
    }
    deltapl = o1l;
    sortB(deltap, deltapsorted, deltapl, base, bl);
    k = position(deltapsorted[0], deltap, deltapl);
    pp = orbit1[k - 1];
    trace_schreier(pp, nu, w, om, n);
    product(om, PERM, perm2, n);
    copy_list(perm2, PERM, n);
    inverse(om, perm2, n);
    for (j = 0; j < fl; j++) {
      freeps[j] = onpoints(freeps[j], perm2, n);
    }
    stabilizer(base + i, 1, genset, gensetl, n, stab, &mm);
    copy_list(stab, genset, mm * n);
    gensetl = mm;
  }
  copy_list(PERM, cr, n);
  copy_list(genset, GS, gensetl * n);
  *m = gensetl;
  free(deltap);
  free(deltapsorted);
  free(om);
  free(PERM);
  free(perm2);
  free(orbit);
  free(orbit1);
  free(w);
  free(nu);
  free(genset);
  free(stab);
}
```