N= 2(rot2)     1 solutions           1 positions in            3 cases   4
N= 3(rot2)     1 solutions           2 positions in            5 cases   6
N= 4(rot2)     3 solutions           6 positions in           16 cases   7
N= 5(rot2)     0 solutions           6 positions in           14 cases   6
N= 6(rot2)     7 solutions          26 positions in           71 cases   9
N= 7(rot2)    10 solutions          46 positions in          115 cases  11
N= 8(rot2)    11 solutions         150 positions in          351 cases  10
N= 9(rot2)     7 solutions         207 positions in          463 cases  11
N=10(rot2)    21 solutions        1042 positions in         2467 cases  12
N=11(rot2)    30 solutions        1545 positions in         3385 cases  14
N=12(rot2)    39 solutions        8141 positions in        17870 cases  14
N=13(rot2)    83 solutions       14924 positions in        32342 cases  16
N=14(rot2)    77 solutions       79555 positions in       169138 cases  16
N=15(rot2)   284 solutions      173013 positions in       364423 cases  18
N=16(rot2)   203 solutions      784173 positions in      1665072 cases  18
N=17(rot2)   282 solutions     1237303 positions in      2615131 cases  20
N=18(rot2)   337 solutions     7943272 positions in     16797899 cases  20
N=19(rot2)   594 solutions    15884735 positions in     33408365 cases  22
N=20(rot2)   693 solutions    98473889 positions in    208014023 cases  22
N=21(rot2)  2413 solutions   200034727 positions in    426514893 cases  24
N=22(rot2)  1257 solutions  1133681460 positions in   2415249559 cases  25
N=23(rot2)  3969 solutions  2988265840 positions in   6360608225 cases  27
N=24(rot2)  2877 solutions 15547650576 positions in  33184295393 cases  27
N=25(rot2)  8985 solutions 32554202698 positions in  70192206580 cases