Sat Feb  1 09:55:38 2025

magic4_matrix_test():
  python version: 3.10.12
  numpy version:  1.26.4
  magic4_matrix() creates a magic matrix as a numpy array.

  Magic matrix for n = 4
[[16  2  3 13]
 [ 5 11 10  8]
 [ 9  7  6 12]
 [ 4 14 15  1]]

  Row sums:
[34 34 34 34]
  Column sums:
[34 34 34 34]
  Diagonal sum:
34
  Antidiagonal sum:
34

  Magic matrix for n = 8
[[64  2  3 61 60  6  7 57]
 [ 9 55 54 12 13 51 50 16]
 [17 47 46 20 21 43 42 24]
 [40 26 27 37 36 30 31 33]
 [32 34 35 29 28 38 39 25]
 [41 23 22 44 45 19 18 48]
 [49 15 14 52 53 11 10 56]
 [ 8 58 59  5  4 62 63  1]]

  Row sums:
[260 260 260 260 260 260 260 260]
  Column sums:
[260 260 260 260 260 260 260 260]
  Diagonal sum:
260
  Antidiagonal sum:
260

  Magic matrix for n = 12
[[144   2   3 141 140   6   7 137 136  10  11 133]
 [ 13 131 130  16  17 127 126  20  21 123 122  24]
 [ 25 119 118  28  29 115 114  32  33 111 110  36]
 [108  38  39 105 104  42  43 101 100  46  47  97]
 [ 96  50  51  93  92  54  55  89  88  58  59  85]
 [ 61  83  82  64  65  79  78  68  69  75  74  72]
 [ 73  71  70  76  77  67  66  80  81  63  62  84]
 [ 60  86  87  57  56  90  91  53  52  94  95  49]
 [ 48  98  99  45  44 102 103  41  40 106 107  37]
 [109  35  34 112 113  31  30 116 117  27  26 120]
 [121  23  22 124 125  19  18 128 129  15  14 132]
 [ 12 134 135   9   8 138 139   5   4 142 143   1]]

  Row sums:
[870 870 870 870 870 870 870 870 870 870 870 870]
  Column sums:
[870 870 870 870 870 870 870 870 870 870 870 870]
  Diagonal sum:
870
  Antidiagonal sum:
870

magic4_matrix_test():
  Normal end of execution.
Sat Feb  1 09:55:38 2025