Table 4:  Large periods for trace at most 15.   
                      D = m + p

             polynomial      m        p

              -1 -7-11     2438      863
              -3 -9-11     1268      955
              -3 -9-13     3251     5249
              -3 -8-11     1004      162
              -3 -1 -7    D > 1199978517
              -4-18-27    19812       21
              -4-15-22     3635       60
              -4-13-18     1139      182
              -4-12-15     1377       88
              -4-11-15    55251    10256
              -4 -6 -9     4393     6085
              -5-22-33  8604828     9101
              -5-21-31     1108      546
              -5-20-29     1067     6229
              -5-19-28        1     1497
              -5-16-24     8867      439
              -5 -2-11    D > 1000817207
              -6-26-39    D >   31572397
              -6-23-34        1     3549
              -6-21-31    D >    9787641
              -6-16-20     8916     2391
              -6 -7-13     1032       39
              -6 -5-14 39420662 93218808
              -7-29-43    D >    1000000
              -7-28-41    D >    1808319
              -7-26-37     6449     3288
              -7-22-30     1244      105
              -7-21-29     1749      149
              -7-13-15   464594    88425
              -7 -9-15    16784     1319
              -7 10 -9     1630       38
              -8-33-49    D >    1777966
              -8-30-44    D >    1126603
              -8-29-42      418     3946
              -8-28-41        1     2011
              -8-26-38    D >    1689756
              -8-24-33    69544     1623
              -8-23-34    D >    1643184
              -8-20-27     1849      240
              -8-19-22    10715      855
              -8-12-17    18203     3405
              -8 -9-17    25796      424
              -8 -7  3     4552       19
              -8 -3-17    D >   92762937
              -8 11-18    39493     1229
              -9-37-55   530787      443
              -9-35-51    D >    1080156
              -9-33-48     1619       24
              -9-31-45     1453     1452
              -9-28-41    D >    1157554
              -9-23-28  1979174    11754
              -9-22-27     1819     2792
              -9-16-19     2874      173
              -9-12-19     1210       43
              -9-10-19   102925      421
              -9 -6-20    D >   99964783
             -10-41-61    D >    1969014
             -10-40-59    D >     716855
             -10-36-52    D >    1532616
             -10-31-45   542819     1291
             -10-30-43     3860      458
             -10-28-41     2757       40
             -10-26-35     1496      235
             -10-25-32   653506    87061
             -10-23-26    16230       33
             -10-17-21     1197      421
             -10-13-21     2071      196
             -10-11-21   317310      457
             -10 -7-22     2921       33
             -10 -4-21    D >    1999955
             -11-44-65     2355       30
             -11-41-59     1880      222
             -11-41-60    D >    1920080
             -11-40-58    D >    1714623
             -11-39-55    D >    1000000
             -11-35-49    D >    1997274
             -11-33-48    D >    1956672
             -11-32-46     5381     1448
             -11-30-40     6090      290
             -11-30-44    D >    1458467
             -11-29-36   330999     1123
             -11-29-39    34137    16701
             -11-24-33      616     1171
             -11-17-23    15541     1043
             -11-14-28    D >    1442923
             -11-12-23     1467      172
             -11-11-26    D >    1263524
             -11 -4-23   240528   186812
             -11 25-31     2666       78
             -12-48-71    D >    1744038
             -12-47-69    D >    1999461
             -12-44-63    D >    1365334
             -12-43-62    D >    1264711
             -12-42-61    D >    1000000
             -12-40-56    D >    1981891
             -12-38-53     5732      135
             -12-36-49     1468     3361
             -12-34-46     6601      602
             -12-33-44     1096       16
             -12-33-45     1754      160
             -12-33-48     1946    33371
             -12-32-47    D >    1856043
             -12-31-42    18385      152
             -12-30-40     5342      192
             -12-27-37     4363     8249
             -12-18-25    16705      319
             -12-17-25     2338      371
             -12-16-25     2441      311
             -12-16-31    D >    1843997
             -12-13-29    D >    1692281
             -12 -9-26     2173      634
             -12 -7  1     7797       19
             -12 -7-26    D >    1958014
             -12 10-25    D >    1833619
             -13-51-75    D >    1136537
             -13-49-71    D >    1787048
             -13-48-70    D >    1978780
             -13-46-67    D >    1600987
             -13-45-65    D >    1180601
             -13-43-60        1     1091
             -13-43-62    D >    1595056
             -13-41-59    D >    1514794
             -13-38-55    D >    1986173
             -13-36-48       13     1578
             -13-35-51    D >    1755010
             -13-34-45     2075      160
             -13-34-46     6058       48
             -13-33-45    13250     1508
             -13-30-35     6546     3350
             -13-30-41    D >     910170
             -13-29-34     2981      422
             -13-20-27     4052      978
             -13-18-34    D >    1781709
             -13-17-27    11934      248
             -13-17-33    23624    10221
             -13-15-27      662     2184
             -13-10-29    D >    1903373
             -13 -6-27    D >    1999984
             -13 -5-27   380291      515
             -13 33-45    D >    1773380
             -14-55-81    D >    1997225
             -14-54-79    D >    1000000
             -14-53-77     4170       60
             -14-52-76     6397      195
             -14-51-73     1865      794
             -14-50-71    63552      265
             -14-50-72   233646   257056
             -14-47-68        1     1919
             -14-46-66    D >    1018893
             -14-45-62       95     1120
             -14-45-65    D >    1756939
             -14-43-62    D >    1452454
             -14-41-59    15380     2382
             -14-40-57   337346     1739
             -14-40-58    D >    1248884
             -14-38-55    D >    1872486
             -14-37-45     1034      701
             -14-37-50   115173       48
             -14-37-54    D >    1000000
             -14-36-44   122682      523
             -14-36-45    D >    1204514
             -14-36-48     8622      722
             -14-32-37     2584     1288
             -14-30-41    D >    1960937
             -14-21-29     4097       83
             -14-16-34    D >    1185083
             -14-13-32     5377     5570
             -14 11-29     7939      382
             -14 13-29    D >    1403103
             -14 38-52       63     1130
             -14 41-57    D >    1771674
             -15-58-85    D >    1087133
             -15-56-82    D >     908901
             -15-55-80    D >    1420339
             -15-54-77    D >    1700540
             -15-50-72        1     5963
             -15-48-69       37     1184
             -15-46-66    D >    1542363
             -15-45-65    D >     678833
             -15-43-58     1021       37
             -15-43-62    D >    1949751
             -15-40-54    98472     3044
             -15-40-58    D >    1601594
             -15-39-52     3773      159
             -15-39-57    D >    1999571
             -15-37-46     5174     1384
             -15-21-39    D >    1743290
             -15-20-38    24829      227
             -15-19-31     1580     1424
             -15-18-31     2403       59
             -15-18-37    D >    1885007
             -15-13-33    D >    1949418
             -15-11-33    D >    1024389
             -15 -9  1   259793     2612
             -15 -6-31    D >    1607468
             -15 -5-31    D >    1852800
             -15 14-32   732241      342
             -15 19-34    D >     831201
             -15 37-51    D >    1997648