3*3 integer matrices that give 10080 different determinants
when all possible positional permutations of the matrix elements
are performed.

Diagrams of the size distribution of the matrix elements are given
at http://www.randomwalk.de/scimath/m33distr.pdf
(Aug 31 2004 version)

Hugo Pfoertner, http://www.pfoertner.org/

Updates:
Dec 13 2004 Best=99
Oct 12 2004 Best=100
Sep 27 2004 Best=107
Sep 13 2004 Best=110
Sep 10 2004 Best=111, intermediate results added
Aug 31 2004 Initial version, best=113

URL of this file: http://www.randomwalk.de/scimath/d33list.txt

Maximum value
of the occurring
determinants  Count     List of matrix elements.

  1039208     10080  99  97  89  87  61  54  20   1   0
  1035772     10080 100  91  88  87  82  43  17   1   0

   953548     10080 103  97  94  93  81  30  23  19   0
  1209877     10080 107 106  97  89  68  27  15   2   0
  1426422     10080 110 109  98  93  79  59  30   1   0
 
  1492206     10080 111 108 101  95  93  56  27   5   1
  1347271     10080 113 111 103  94  93  85  72   7   0
  1491814     10080 113 110 106  95  84  81  41  13   0
  1252537     10080 117 106 103 101  65  58  43  20   1
  1295064     10080 117 111 103  94  83  69  61  16   0
  1702663     10080 117 113 109 103  72  46  11   3   0
  1330576     10080 118 111 107  87  83  73  40  31   0
  1469121     10080 118 115 109  96  93  71  68  11   0

  1876204     10080 121 118 116 115 101  89  60  13   3
  1845773     10080 122 119 117 108 101  87  79   2   0
  1873819     10080 123 121 116 114 110  50  37  19   1
  2191896     10080 123 122 121 113  97  85  31  20   0
  2030826     10080 124 123 115 113 109  72  51  14   0
  2410584     10080 125 121 114 113  96  77  13   3   0
  1863701     10080 127 125 109  99  95  94  64   8   0
  2576576     10080 127 124 121 114 112  92  39   5   0
  1093690     10080 128 125  92  77  74  72  59  43   0
  1996447     10080 128 123 108 101  98  95  51   9   1
  1912671     10080 129 128 124  99  83  50  45  24   1
  2084472     10080 130 124 113 112  99  43  11  10   3

  2146051     10080 131 122 119 114  93  59  43   7   0
  2346891     10080 131 127 125 110  92  39  16   3   1
  1511449     10080 132 112  97  93  67  37  15  14   0
  2296947     10080 133 125 116 114 111 106  51  25   0
  2454825     10080 133 131 122 118  81  62  25   7   0
  2094222     10080 134 125 117 110  91  40  27  11   1
  2485342     10080 135 134 128 117 116  53  25  23   2
  2635403     10080 135 132 124 121  85  67  29   2   0
  2753586     10080 136 134 133 122 109  35  26   1   0
  2951456     10080 136 132 127 117 113 107  47   7   0
  2402015     10080 137 129 116 110 101  65  19  18   0
  2502350     10080 137 136 128 123  74  73  51   7   0
  2565566     10080 137 134 122 119 115 109  76  11   0
  2835492     10080 138 135 127 113 104  77  15  13   7
  2256807     10080 139 134 126  91  85  62  52   9   5
  2367569     10080 139 130 123 119 107  49  38  18   0
  2533800     10080 139 138 121 103 101  78  59   3   0
  2838768     10080 139 135 129 110 105 103  41  16   0
  2367569     10080 139 130 123 119 107  49  38  18   0
  2222460     10080 140 131 121 103  62  44  43   6   0