user: Demonstrate the C code that generates the assembly output below:

```asm
<main>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  sub    $0x20,%rsp
  mov    $0x5,%esi
  mov    $0x1,%edi
  call   <vector@plt>
  mov    %rax,-0x18(%rbp)
  mov    $0x5,%esi
  mov    $0x1,%edi
  call   <vector@plt>
  mov    %rax,-0x10(%rbp)
  mov    $0x5,%r8d
  mov    $0x1,%ecx
  mov    $0x5,%edx
  mov    $0x1,%esi
  lea    D12(%rip),%rax
  mov    %rax,%rdi
  call   <convert_matrix@plt>
  mov    %rax,-0x8(%rbp)
  lea    D7(%rip),%rax
  mov    %rax,%rdi
  call   <puts@plt>
  movl   $0x1,-0x20(%rbp)
  jmp    L9
L52:
  movl   $0x1,-0x1c(%rbp)
  jmp    L15
L1:
  mov    -0x20(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x8(%rbp),%rax
  add    %rdx,%rax
  mov    (%rax),%rdx
  mov    -0x1c(%rbp),%eax
  cltq
  shl    $0x2,%rax
  add    %rdx,%rax
  movss  (%rax),%xmm0
  pxor   %xmm2,%xmm2
  cvtss2sd %xmm0,%xmm2
  movq   %xmm2,%rax
  movq   %rax,%xmm0
  lea    D48(%rip),%rax
  mov    %rax,%rdi
  mov    $0x1,%eax
  call   <printf@plt>
  addl   $0x1,-0x1c(%rbp)
L15:
  cmpl   $0x5,-0x1c(%rbp)
  jle    L1
  mov    $0xa,%edi
  call   <putchar@plt>
  addl   $0x1,-0x20(%rbp)
L9:
  cmpl   $0x5,-0x20(%rbp)
  jle    L52
  mov    -0x8(%rbp),%rax
  mov    $0x5,%esi
  mov    %rax,%rdi
  call   <balanc@plt>
  mov    -0x8(%rbp),%rax
  mov    $0x5,%esi
  mov    %rax,%rdi
  call   <elmhes@plt>
  mov    -0x10(%rbp),%rcx
  mov    -0x18(%rbp),%rdx
  mov    -0x8(%rbp),%rax
  mov    $0x5,%esi
  mov    %rax,%rdi
  call   <hqr@plt>
  lea    D31(%rip),%rax
  mov    %rax,%rdi
  call   <puts@plt>
  lea    D32(%rip),%rax
  mov    %rax,%rdx
  lea    D35(%rip),%rax
  mov    %rax,%rsi
  lea    D52(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  movl   $0x1,-0x20(%rbp)
  jmp    L53
L20:
  mov    -0x20(%rbp),%eax
  cltq
  lea    0x0(,%rax,4),%rdx
  mov    -0x10(%rbp),%rax
  add    %rdx,%rax
  movss  (%rax),%xmm0
  cvtss2sd %xmm0,%xmm0
  mov    -0x20(%rbp),%eax
  cltq
  lea    0x0(,%rax,4),%rdx
  mov    -0x18(%rbp),%rax
  add    %rdx,%rax
  movss  (%rax),%xmm1
  pxor   %xmm3,%xmm3
  cvtss2sd %xmm1,%xmm3
  movq   %xmm3,%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  lea    D16(%rip),%rax
  mov    %rax,%rdi
  mov    $0x2,%eax
  call   <printf@plt>
  addl   $0x1,-0x20(%rbp)
L53:
  cmpl   $0x5,-0x20(%rbp)
  jle    L20
  mov    -0x8(%rbp),%rax
  mov    $0x5,%r8d
  mov    $0x1,%ecx
  mov    $0x5,%edx
  mov    $0x1,%esi
  mov    %rax,%rdi
  call   <free_convert_matrix@plt>
  mov    -0x10(%rbp),%rax
  mov    $0x5,%edx
  mov    $0x1,%esi
  mov    %rax,%rdi
  call   <free_vector@plt>
  mov    -0x18(%rbp),%rax
  mov    $0x5,%edx
  mov    $0x1,%esi
  mov    %rax,%rdi
  call   <free_vector@plt>
  mov    $0x0,%eax
  leave
  ret
```

tool_calls: name: retrieve_data
arguments: tag: D7
datatype: string
name: retrieve_data
arguments: tag: D48
datatype: string
name: retrieve_data
arguments: tag: D31
datatype: string
name: retrieve_data
arguments: tag: D32
datatype: string
name: retrieve_data
arguments: tag: D35
datatype: string
name: retrieve_data
arguments: tag: D52
datatype: string
name: retrieve_data
arguments: tag: D16
datatype: string

tool: D7: matrix:

tool: D48: %12.2f

tool: D31: eigenvalues:

tool: D32: imag.

tool: D35: real

tool: D52: %11s %16s 


tool: D16: %15f %14f


assistant: ```c
int main(void) {
  int i, j;
  static float c[5][5] = {1.0, 2.0, 0.0, 0.0, 0.0, -2.0, 3.0, 0.0, 0.0, 0.0, 3.0, 4.0, 50.0, 0.0, 0.0, -4.0, 5.0, -60.0, 7.0, 0.0, -5.0, 6.0, -70.0, 8.0, -9.0};
  float *wr, *wi, **a;
  wr = vector(1, 5);
  wi = vector(1, 5);
  a = convert_matrix(&c[0][0], 1, 5, 1, 5);
  printf("matrix:\n");
  for (i = 1; i <= 5; i++) {
    for (j = 1; j <= 5; j++)
      printf("%12.2f", a[i][j]);
    printf("\n");
  }
  balanc(a, 5);
  elmhes(a, 5);
  hqr(a, 5, wr, wi);
  printf("eigenvalues:\n");
  printf("%11s %16s \n", "real", "imag.");
  for (i = 1; i <= 5; i++)
    printf("%15f %14f\n", wr[i], wi[i]);
  free_convert_matrix(a, 1, 5, 1, 5);
  free_vector(wi, 1, 5);
  free_vector(wr, 1, 5);
  return 0;
}
```