Data for a 15-v magic polygram (Constant=62). (29,30, 1, 2), ( 6, 1,27,28), ( 2,27, 7,26), (28, 7, 3,24), (26, 3,25, 8), (24,25, 9, 4), ( 8, 9,22,23), ( 4,22,21,15), (23,21,13, 5), (15,13,20,14), ( 5,20,19,18), (14,19,17,12), (18,17,11,16), (12,11,10,29), (16,10,30, 6). Outer numbers= 29, 6, 2,28,26,24, 8, 4,23,15, 5,14,18,12,16. Inner numbers= 30, 1,27, 7, 3,25, 9,22,21,13, 20,19,17,11,10. ======= Data for a 16-v magic polygram (Constant=66). (31,32, 1, 2), ( 6, 1,29,30), ( 2,29, 7,28), (30, 7, 3,26), (28, 3,27, 8), (26,27, 9, 4), ( 8, 9,25,24), ( 4,25,14,23), (24,14,17,11), (23,17,21, 5), (11,21,19,15), ( 5,19,20,22), (15,20,18,13), (22,18,10,16), (13,10,12,31), (16,12,32, 6). Outer numbers= 31, 6, 2,30,28,26, 8, 4,24,23, 11, 5,15,22,13,16. Inner numbers= 32, 1,29, 7, 3,27, 9,25,14,17, 21,19,20,18,10,12. ======= Data for a 17-v magic polygram (Constant=70). (33,34, 1, 2), ( 6, 1,31,32), ( 2,31, 7,30), (32, 7, 3,28), (30, 3,29, 8), (28,29, 9, 4), ( 8, 9,27,26), ( 4,27,14,25), (26,14,12,18), (25,12,13,20), (18,13,23,16), (20,23,17,10), (16,17,15,22), (10,15,24,21), (22,24, 5,19), (21, 5,11,33), (19,11,34, 6). Outer numbers= 33, 6, 2,32,30,28, 8, 4,26,25, 18,20,16,10,22,21,19. Inner numbers= 34, 1,31, 7, 3,29, 9,27,14,12, 13,23,17,15,24, 5,11. ======= Data for a 18-v magic polygram (Constant=74). (35,36, 1, 2), ( 6, 1,33,34), ( 2,33, 7,32), (34, 7, 3,30), (32, 3,31, 8), (30,31, 9, 4), ( 8, 9,29,28), ( 4,29,14,27), (28,14,22,10), (27,22,20, 5), (10,20,25,19), ( 5,25,26,18), (19,26,17,12), (18,17,23,16), (12,23,24,15), (16,24,13,21), (15,13,11,35), (21,11,36, 6). Outer numbers= 35, 6, 2,34,32,30, 8, 4,28,27, 10, 5,19,18,12,16,15,21. Inner numbers= 36, 1,33, 7, 3,31, 9,29,14,22, 20,25,26,17,23,24,13,11. ======= Data for a 19-v magic polygram (Constant=78). (37,38, 1, 2), ( 6, 1,35,36), ( 2,35, 7,34), (36, 7, 3,32), (34, 3,33, 8), (32,33, 9, 4), ( 8, 9,31,30), ( 4,31,14,29), (30,14,24,10), (29,24,20, 5), (10,20,26,22), ( 5,26,28,19), (22,28,11,17), (19,11,25,23), (17,25,15,21), (23,15,27,13), (21,27,12,18), (13,12,16,37), (18,16,38, 6). Outer numbers= 37, 6, 2,36,34,32, 8, 4,30,29, 10, 5,22,19,17,23,21,13,18. Inner numbers= 38, 1,35, 7, 3,33, 9,31,14,24, 20,26,28,11,25,15,27,12,16. ======= Data for a 20-v magic polygram (Constant=82). (39,40, 1, 2), ( 6, 1,37,38), ( 2,37, 7,36), (38, 7, 3,34), (36, 3,35, 8), (34,35, 9, 4), ( 8, 9,33,32), ( 4,33,14,31), (32,14,26,10), (31,26,20, 5), (10,20,27,25), ( 5,27,29,21), (25,29,11,17), (21,11,22,28), (17,22,13,30), (28,13,18,23), (30,18,19,15), (23,19,16,24), (15,16,12,39), (24,12,40, 6). Outer numbers= 39, 6, 2,38,36,34, 8, 4,32,31, 10, 5,25,21,17,28,30,23,15,24. Inner numbers= 40, 1,37, 7, 3,35, 9,33,14,26, 20,27,29,11,22,13,18,19,16,12. ======= Data for a 21-v magic polygram (Constant=86). (42,41, 1, 2), ( 6, 1,39,40), ( 2,39, 7,38), (40, 7, 3,36), (38, 3,37, 8), (36,37, 9, 4), ( 8, 9,35,34), ( 4,35,14,33), (34,14,28,10), (33,28,20, 5), (10,20,29,27), ( 5,29,31,21), (27,31,15,13), (21,15,24,26), (13,24,30,19), (26,30,12,18), (19,12,32,23), (18,32,25,11), (23,25,16,22), (11,16,17,42), (22,17,41, 6). Outer numbers= 42, 6, 2,40,38,36, 8, 4,34,33, 10, 5,27,21,13,26,19,18,23,11, 22. Inner numbers= 41, 1,39, 7, 3,37, 9,35,14,28, 20,29,31,15,24,30,12,32,25,16, 17. ======= Data for a 22-v magic polygram (Constant=90). (43,44, 1, 2), ( 6, 1,41,42), ( 2,41, 7,40), (42, 7, 3,38), (40, 3,39, 8), (38,39, 9, 4), ( 8, 9,37,36), ( 4,37,14,35), (36,14,30,10), (35,30,20, 5), (10,20,31,29), ( 5,31,33,21), (29,33,11,17), (21,11,26,32), (17,26,24,23), (32,24,15,19), (23,15,18,34), (19,18,28,25), (34,28,16,12), (25,16,22,27), (12,22,13,43), (27,13,44, 6). Outer numbers= 43, 6, 2,42,40,38, 8, 4,36,35, 10, 5,29,21,17,32,23,19,34,25, 12,27. Inner numbers= 44, 1,41, 7, 3,39, 9,37,14,30, 20,31,33,11,26,24,15,18,28,16, 22,13. ======= Data for a 23-v magic polygram (Constant=94). (45,46, 1, 2), ( 6, 1,43,44), ( 2,43, 7,42), (44, 7, 3,40), (42, 3,41, 8), (40,41, 9, 4), ( 8, 9,39,38), ( 4,39,14,37), (38,14,32,10), (37,32,20, 5), (10,20,33,31), ( 5,33,35,21), (31,35,11,17), (21,11,28,34), (17,28,13,36), (34,13,18,29), (36,18,16,24), (29,16,26,23), (24,26,19,25), (23,19,30,22), (25,30,12,27), (22,12,15,45), (27,15,46, 6). Outer numbers= 45, 6, 2,44,42,40, 8, 4,38,37, 10, 5,31,21,17,34,36,29,24,23, 25,22,27. Inner numbers= 46, 1,43, 7, 3,41, 9,39,14,32, 20,33,35,11,28,13,18,16,26,19, 30,12,15. ======= Data for a 24-v magic polygram (Constant=98). (47,48, 1, 2), ( 6, 1,45,46), ( 2,45, 7,44), (46, 7, 3,42), (44, 3,43, 8), (42,43, 9, 4), ( 8, 9,41,40), ( 4,41,14,39), (40,14,34,10), (39,34,20, 5), (10,20,35,33), ( 5,35,37,21), (33,37,11,17), (21,11,30,36), (17,30,13,38), (36,13,18,31), (38,18,16,26), (31,16,28,23), (26,28,19,25), (23,19,27,29), (25,27,22,24), (29,22,15,32), (24,15,12,47), (32,12,48, 6). Outer numbers= 47, 6, 2,46,44,42, 8, 4,40,39, 10, 5,33,21,17,36,38,31,26,23, 25,29,24,32. Inner numbers= 48, 1,45, 7, 3,43, 9,41,14,34, 20,35,37,11,30,13,18,16,28,19, 27,22,15,12. ======= Data for a 25-v magic polygram (Constant=102). (49,50, 1, 2), ( 6, 1,47,48), ( 2,47, 7,46), (48, 7, 3,44), (46, 3,45, 8), (44,45, 9, 4), ( 8, 9,43,42), ( 4,43,14,41), (42,14,36,10), (41,36,20, 5), (10,20,37,35), ( 5,37,39,21), (35,39,11,17), (21,11,38,32), (17,38,34,13), (32,34,24,12), (13,24,40,25), (12,40,22,28), (25,22,26,29), (28,26,15,33), (29,15,27,31), (33,27,23,19), (31,23,18,30), (19,18,16,49), (30,16,50, 6). Outer numbers= 49, 6, 2,48,46,44, 8, 4,42,41, 10, 5,35,21,17,32,13,12,25,28, 29,33,31,19,30. Inner numbers= 50, 1,47, 7, 3,45, 9,43,14,36, 20,37,39,11,38,34,24,40,22,26, 15,27,23,18,16. ======= Data for a 26-v magic polygram (Constant=106). (51,52, 1, 2), ( 6, 1,49,50), ( 2,49, 7,48), (50, 7, 3,46), (48, 3,47, 8), (46,47, 9, 4), ( 8, 9,45,44), ( 4,45,14,43), (44,14,38,10), (43,38,20, 5), (10,20,39,37), ( 5,39,41,21), (37,41,11,17), (21,11,40,34), (17,40,13,36), (34,13,35,24), (36,35,12,23), (24,12,42,28), (23,42,25,16), (28,25,26,27), (16,26,31,33), (27,31,19,29), (33,19,32,22), (29,32,15,30), (22,15,18,51), (30,18,52, 6). Outer numbers= 51, 6, 2,50,48,46, 8, 4,44,43, 10, 5,37,21,17,34,36,24,23,28, 16,27,33,29,22,30. Inner numbers= 52, 1,49, 7, 3,47, 9,45,14,38, 20,39,41,11,40,13,35,12,42,25, 26,31,19,32,15,18. ======= Data for a 27-v magic polygram (Constant=110). (54,53, 1, 2), ( 6, 1,51,52), ( 2,51, 7,50), (52, 7, 3,48), (50, 3,49, 8), (48,49, 9, 4), ( 8, 9,47,46), ( 4,47,14,45), (46,14,40,10), (45,40,20, 5), (10,20,41,39), ( 5,41,43,21), (39,43,11,17), (21,11,42,36), (17,42,38,13), (36,38,24,12), (13,24,44,29), (12,44,19,35), (29,19,25,37), (35,25,16,34), (37,16,26,31), (34,26,22,28), (31,22,27,30), (28,27,32,23), (30,32,15,33), (23,15,18,54), (33,18,53, 6). Outer numbers= 54, 6, 2,52,50,48, 8, 4,46,45, 10, 5,39,21,17,36,13,12,29,35, 37,34,31,28,30,23,33. Inner numbers= 53, 1,51, 7, 3,49, 9,47,14,40, 20,41,43,11,42,38,24,44,19,25, 16,26,22,27,32,15,18. ======= Data for a 28-v magic polygram (Constant=114). (55,56, 1, 2), ( 6, 1,53,54), ( 2,53, 7,52), (54, 7, 3,50), (52, 3,51, 8), (50,51, 9, 4), ( 8, 9,49,48), ( 4,49,14,47), (48,14,42,10), (47,42,20, 5), (10,20,43,41), ( 5,43,45,21), (41,45,11,17), (21,11,44,38), (17,44,40,13), (38,40,24,12), (13,24,46,31), (12,46,19,37), (31,19,25,39), (37,25,23,29), (39,23,18,34), (29,18,32,35), (34,32,22,26), (35,22,27,30), (26,27,33,28), (30,33,15,36), (28,15,16,55), (36,16,56, 6). Outer numbers= 55, 6, 2,54,52,50, 8, 4,48,47, 10, 5,41,21,17,38,13,12,31,37, 39,29,34,35,26,30,28,36. Inner numbers= 56, 1,53, 7, 3,51, 9,49,14,42, 20,43,45,11,44,40,24,46,19,25, 23,18,32,22,27,33,15,16. ======= Data for a 29-v magic polygram (Constant=118). (58,57, 1, 2), ( 6, 1,55,56), ( 2,55, 7,54), (56, 7, 3,52), (54, 3,53, 8), (52,53, 9, 4), ( 8, 9,51,50), ( 4,51,14,49), (50,14,44,10), (49,44,20, 5), (10,20,45,43), ( 5,45,47,21), (43,47,11,17), (21,11,46,40), (17,46,42,13), (40,42,24,12), (13,24,48,33), (12,48,39,19), (33,39,31,15), (19,31,41,27), (15,41,25,37), (27,25,36,30), (37,36,22,23), (30,22,32,34), (23,32,28,35), (34,28,38,18), (35,38,16,29), (18,16,26,58), (29,26,57, 6). Outer numbers= 58, 6, 2,56,54,52, 8, 4,50,49, 10, 5,43,21,17,40,13,12,33,19, 15,27,37,30,23,34,35,18,29. Inner numbers= 57, 1,55, 7, 3,53, 9,51,14,44, 20,45,47,11,46,42,24,48,39,31, 41,25,36,22,32,28,38,16,26. ======= Data for a 30-v magic polygram (Constant=122). (59,60, 1, 2), ( 6, 1,57,58), ( 2,57, 7,56), (58, 7, 3,54), (56, 3,55, 8), (54,55, 9, 4), ( 8, 9,53,52), ( 4,53,14,51), (52,14,46,10), (51,46,20, 5), (10,20,47,45), ( 5,47,49,21), (45,49,11,17), (21,11,48,42), (17,48,44,13), (42,44,24,12), (13,24,50,35), (12,50,41,19), (35,41,31,15), (19,31,43,29), (15,43,39,25), (29,39,38,16), (25,38,33,26), (16,33,36,37), (26,36,28,32), (37,28,27,30), (32,27,40,23), (30,40,18,34), (23,18,22,59), (34,22,60, 6). Outer numbers= 59, 6, 2,58,56,54, 8, 4,52,51, 10, 5,45,21,17,42,13,12,35,19, 15,29,25,16,26,37,32,30,23,34. Inner numbers= 60, 1,57, 7, 3,55, 9,53,14,46, 20,47,49,11,48,44,24,50,41,31, 43,39,38,33,36,28,27,40,18,22. ======= Data for a 31-v magic star (magic total = 126). (62,61, 1, 2), ( 6, 1,59,60), ( 2,59, 7,58), (60, 7, 3,56), (58, 3,57, 8), (56,57, 9, 4), ( 8, 9,55,54), ( 4,55,14,53), (54,14,48,10), (53,48,20, 5), (10,20,49,47), ( 5,49,51,21), (47,51,11,17), (21,11,50,44), (17,50,46,13), (44,46,24,12), (13,24,52,37), (12,52,43,19), (37,43,31,15), (19,31,40,36), (15,40,45,26), (36,45,23,22), (26,23,42,35), (22,42,34,28), (35,34,32,25), (28,32,27,39), (25,27,33,41), (39,33,38,16), (41,38,18,29), (16,18,30,62), (29,30,61, 6). Outer numbers= 62, 6, 2,60,58,56, 8, 4,54,53, 10, 5,47,21,17,44,13,12,37,19, 15,36,26,22,35,28,25,39,41,16, 29. Inner numbers= 61, 1,59, 7, 3,57, 9,55,14,48, 20,49,51,11,50,46,24,52,43,31, 40,45,23,42,34,32,27,33,38,18, 30. ======= Data for a 32-v magic star (magic total = 130). (64,63, 1, 2), ( 6, 1,61,62), ( 2,61, 7,60), (62, 7, 3,58), (60, 3,59, 8), (58,59, 9, 4), ( 8, 9,57,56), ( 4,57,14,55), (56,14,50,10), (55,50,20, 5), (10,20,51,49), ( 5,51,53,21), (49,53,11,17), (21,11,52,46), (17,52,48,13), (46,48,24,12), (13,24,54,39), (12,54,45,19), (39,45,31,15), (19,31,42,38), (15,42,47,26), (38,47,29,16), (26,29,40,35), (16,40,41,33), (35,41,32,22), (33,32,28,37), (22,28,36,44), (37,36,27,30), (44,27,34,25), (30,34,23,43), (25,23,18,64), (43,18,63, 6). Outer numbers= 64, 6, 2,62,60,58, 8, 4,56,55, 10, 5,49,21,17,46,13,12,39,19, 15,38,26,16,35,33,22,37,44,30, 25,43. Inner numbers= 63, 1,61, 7, 3,59, 9,57,14,50, 20,51,53,11,52,48,24,54,45,31, 42,47,29,40,41,32,28,36,27,34, 23,18. ======= Data for a 33-v magic star (magic total = 134). (66,65, 1, 2), ( 6, 1,63,64), ( 2,63, 7,62), (64, 7, 3,60), (62, 3,61, 8), (60,61, 9, 4), ( 8, 9,59,58), ( 4,59,14,57), (58,14,52,10), (57,52,20, 5), (10,20,53,51), ( 5,53,55,21), (51,55,11,17), (21,11,54,48), (17,54,50,13), (48,50,24,12), (13,24,56,41), (12,56,47,19), (41,47,31,15), (19,31,44,40), (15,44,49,26), (40,49,29,16), (26,29,42,37), (16,42,43,33), (37,43,32,22), (33,32,30,39), (22,30,36,46), (39,36,25,34), (46,25,35,28), (34,35,38,27), (28,38,23,45), (27,23,18,66), (45,18,65, 6). Outer numbers= 66, 6, 2,64,62,60, 8, 4,58,57, 10, 5,51,21,17,48,13,12,41,19, 15,40,26,16,37,33,22,39,46,34, 28,27,45. Inner numbers= 65, 1,63, 7, 3,61, 9,59,14,52, 20,53,55,11,54,50,24,56,47,31, 44,49,29,42,43,32,30,36,25,35, 38,23,18. ======= Data for a 34-v magic star (magic total = 138). (68,67, 1, 2), ( 6, 1,65,66), ( 2,65, 7,64), (66, 7, 3,62), (64, 3,63, 8), (62,63, 9, 4), ( 8, 9,61,60), ( 4,61,14,59), (60,14,54,10), (59,54,20, 5), (10,20,55,53), ( 5,55,57,21), (53,57,11,17), (21,11,56,50), (17,56,52,13), (50,52,24,12), (13,24,58,43), (12,58,49,19), (43,49,31,15), (19,31,46,42), (15,46,51,26), (42,51,29,16), (26,29,44,39), (16,44,48,30), (39,48,28,23), (30,28,47,33), (23,47,32,36), (33,32,35,38), (36,35,22,45), (38,22,41,37), (45,41,34,18), (37,34,27,40), (18,27,25,68), (40,25,67, 6). Outer numbers= 68, 6, 2,66,64,62, 8, 4,60,59, 10, 5,53,21,17,50,13,12,43,19, 15,42,26,16,39,30,23,33,36,38, 45,37,18,40. Inner numbers= 67, 1,65, 7, 3,63, 9,61,14,54, 20,55,57,11,56,52,24,58,49,31, 46,51,29,44,48,28,47,32,35,22, 41,34,27,25. ======= Data for a 35-v magic star (magic total = 142). (70,69, 1, 2), ( 6, 1,67,68), ( 2,67, 7,66), (68, 7, 3,64), (66, 3,65, 8), (64,65, 9, 4), ( 8, 9,63,62), ( 4,63,14,61), (62,14,56,10), (61,56,20, 5), (10,20,57,55), ( 5,57,59,21), (55,59,11,17), (21,11,58,52), (17,58,54,13), (52,54,24,12), (13,24,60,45), (12,60,51,19), (45,51,31,15), (19,31,48,44), (15,48,53,26), (44,53,29,16), (26,29,46,41), (16,46,50,30), (41,50,28,23), (30,28,47,37), (23,47,38,34), (37,38,40,27), (34,40,43,25), (27,43,39,33), (25,39,42,36), (33,42,49,18), (36,49,22,35), (18,22,32,70), (35,32,69, 6). Outer numbers= 70, 6, 2,68,66,64, 8, 4,62,61, 10, 5,55,21,17,52,13,12,45,19, 15,44,26,16,41,30,23,37,34,27, 25,33,36,18,35. Inner numbers= 69, 1,67, 7, 3,65, 9,63,14,56, 20,57,59,11,58,54,24,60,51,31, 48,53,29,46,50,28,47,38,40,43, 39,42,49,22,32. ======= Data for a 36-v magic star (magic total = 146). (71,72, 1, 2), ( 6, 1,69,70), ( 2,69, 7,68), (70, 7, 3,66), (68, 3,67, 8), (66,67, 9, 4), ( 8, 9,65,64), ( 4,65,14,63), (64,14,58,10), (63,58,20, 5), (10,20,59,57), ( 5,59,61,21), (57,61,11,17), (21,11,60,54), (17,60,56,13), (54,56,24,12), (13,24,62,47), (12,62,53,19), (47,53,31,15), (19,31,50,46), (15,50,55,26), (46,55,29,16), (26,29,48,43), (16,48,52,30), (43,52,33,18), (30,33,51,32), (18,51,37,40), (32,37,28,49), (40,28,36,42), (49,36,22,39), (42,22,38,44), (39,38,34,35), (44,34,45,23), (35,45,25,41), (23,25,27,71), (41,27,72, 6). Outer numbers= 71, 6, 2,70,68,66, 8, 4,64,63, 10, 5,57,21,17,54,13,12,47,19, 15,46,26,16,43,30,18,32,40,49, 42,39,44,35,23,41. Inner numbers= 72, 1,69, 7, 3,67, 9,65,14,58, 20,59,61,11,60,56,24,62,53,31, 50,55,29,48,52,33,51,37,28,36, 22,38,34,45,25,27. ======= Data for a 37-v magic star (magic total = 150). (73,74, 1, 2), ( 6, 1,71,72), ( 2,71, 7,70), (72, 7, 3,68), (70, 3,69, 8), (68,69, 9, 4), ( 8, 9,67,66), ( 4,67,14,65), (66,14,60,10), (65,60,20, 5), (10,20,61,59), ( 5,61,63,21), (59,63,11,17), (21,11,62,56), (17,62,58,13), (56,58,24,12), (13,24,64,49), (12,64,55,19), (49,55,31,15), (19,31,52,48), (15,52,57,26), (48,57,29,16), (26,29,50,45), (16,50,54,30), (45,54,33,18), (30,33,44,43), (18,44,37,51), (43,37,36,34), (51,36,38,25), (34,38,32,46), (25,32,40,53), (46,40,23,41), (53,23,35,39), (41,35,47,27), (39,47,22,42), (27,22,28,73), (42,28,74, 6). Outer numbers= 73, 6, 2,72,70,68, 8, 4,66,65, 10, 5,59,21,17,56,13,12,49,19, 15,48,26,16,45,30,18,43,51,34, 25,46,53,41,39,27,42. Inner numbers= 74, 1,71, 7, 3,69, 9,67,14,60, 20,61,63,11,62,58,24,64,55,31, 52,57,29,50,54,33,44,37,36,38, 32,40,23,35,47,22,28. ======= Data for a 38-v magic star (magic total = 154). (75,76, 1, 2), ( 6, 1,73,74), ( 2,73, 7,72), (74, 7, 3,70), (72, 3,71, 8), (70,71, 9, 4), ( 8, 9,69,68), ( 4,69,14,67), (68,14,62,10), (67,62,20, 5), (10,20,63,61), ( 5,63,65,21), (61,65,11,17), (21,11,64,58), (17,64,60,13), (58,60,24,12), (13,24,66,51), (12,66,57,19), (51,57,31,15), (19,31,54,50), (15,54,59,26), (50,59,29,16), (26,29,52,47), (16,52,56,30), (47,56,33,18), (30,33,45,46), (18,45,55,36), (46,55,28,25), (36,28,48,42), (25,48,32,49), (42,32,41,39), (49,41,37,27), (39,37,43,35), (27,43,44,40), (35,44,53,22), (40,53,23,38), (22,23,34,75), (38,34,76, 6). Outer numbers= 75, 6, 2,74,72,70, 8, 4,68,67, 10, 5,61,21,17,58,13,12,51,19, 15,50,26,16,47,30,18,46,36,25, 42,49,39,27,35,40,22,38. Inner numbers= 76, 1,73, 7, 3,71, 9,69,14,62, 20,63,65,11,64,60,24,66,57,31, 54,59,29,52,56,33,45,55,28,48, 32,41,37,43,44,53,23,34. ======= Data for a 39-v magic star (magic total = 158). (78,77, 1, 2), ( 6, 1,75,76), ( 2,75, 7,74), (76, 7, 3,72), (74, 3,73, 8), (72,73, 9, 4), ( 8, 9,71,70), ( 4,71,14,69), (70,14,64,10), (69,64,20, 5), (10,20,65,63), ( 5,65,67,21), (63,67,11,17), (21,11,66,60), (17,66,62,13), (60,62,24,12), (13,24,68,53), (12,68,59,19), (53,59,31,15), (19,31,56,52), (15,56,61,26), (52,61,29,16), (26,29,54,49), (16,54,58,30), (49,58,33,18), (30,33,48,47), (18,48,35,57), (47,35,32,44), (57,32,23,46), (44,23,36,55), (46,36,39,37), (55,39,42,22), (37,42,45,34), (22,45,40,51), (34,40,41,43), (51,41,38,28), (43,38,27,50), (28,27,25,78), (50,25,77, 6). Outer numbers= 78, 6, 2,76,74,72, 8, 4,70,69, 10, 5,63,21,17,60,13,12,53,19, 15,52,26,16,49,30,18,47,57,44, 46,55,37,22,34,51,43,28,50. Inner numbers= 77, 1,75, 7, 3,73, 9,71,14,64, 20,65,67,11,66,62,24,68,59,31, 56,61,29,54,58,33,48,35,32,23, 36,39,42,45,40,41,38,27,25. ======= Data for a 40-v magic star (magic total = 162). (80,79, 1, 2), ( 6, 1,77,78), ( 2,77, 7,76), (78, 7, 3,74), (76, 3,75, 8), (74,75, 9, 4), ( 8, 9,73,72), ( 4,73,14,71), (72,14,66,10), (71,66,20, 5), (10,20,67,65), ( 5,67,69,21), (65,69,11,17), (21,11,68,62), (17,68,64,13), (62,64,24,12), (13,24,70,55), (12,70,61,19), (55,61,31,15), (19,31,58,54), (15,58,63,26), (54,63,29,16), (26,29,56,51), (16,56,60,30), (51,60,33,18), (30,33,50,49), (18,50,59,35), (49,59,22,32), (35,22,48,57), (32,48,40,42), (57,40,37,28), (42,37,38,45), (28,38,44,52), (45,44,27,46), (52,27,36,47), (46,36,39,41), (47,39,53,23), (41,53,25,43), (23,25,34,80), (43,34,79, 6). Outer numbers= 80, 6, 2,78,76,74, 8, 4,72,71, 10, 5,65,21,17,62,13,12,55,19, 15,54,26,16,51,30,18,49,35,32, 57,42,28,45,52,46,47,41,23,43. Inner numbers= 79, 1,77, 7, 3,75, 9,73,14,66, 20,67,69,11,68,64,24,70,61,31, 58,63,29,56,60,33,50,59,22,48, 40,37,38,44,27,36,39,53,25,34. ======= Data for a 41-v magic star (magic total = 166). (81,82, 1, 2), ( 6, 1,79,80), ( 2,79, 7,78), (80, 7, 3,76), (78, 3,77, 8), (76,77, 9, 4), ( 8, 9,75,74), ( 4,75,14,73), (74,14,68,10), (73,68,20, 5), (10,20,69,67), ( 5,69,71,21), (67,71,11,17), (21,11,70,64), (17,70,66,13), (64,66,24,12), (13,24,72,57), (12,72,63,19), (57,63,31,15), (19,31,60,56), (15,60,65,26), (56,65,29,16), (26,29,58,53), (16,58,62,30), (53,62,33,18), (30,33,52,51), (18,52,61,35), (51,61,22,32), (35,22,54,55), (32,54,34,46), (55,34,27,50), (46,27,48,45), (50,48,40,28), (45,40,42,39), (28,42,47,49), (39,47,36,44), (49,36,38,43), (44,38,59,25), (43,59,23,41), (25,23,37,81), (41,37,82, 6). Outer numbers= 81, 6, 2,80,78,76, 8, 4,74,73, 10, 5,67,21,17,64,13,12,57,19, 15,56,26,16,53,30,18,51,35,32, 55,46,50,45,28,39,49,44,43,25, 41. Inner numbers= 82, 1,79, 7, 3,77, 9,75,14,68, 20,69,71,11,70,66,24,72,63,31, 60,65,29,58,62,33,52,61,22,54, 34,27,48,40,42,47,36,38,59,23, 37. ======= Data for a 42-v magic star (magic total = 170). (84,83, 1, 2), ( 6, 1,81,82), ( 2,81, 7,80), (82, 7, 3,78), (80, 3,79, 8), (78,79, 9, 4), ( 8, 9,77,76), ( 4,77,14,75), (76,14,70,10), (75,70,20, 5), (10,20,71,69), ( 5,71,73,21), (69,73,11,17), (21,11,72,66), (17,72,68,13), (66,68,24,12), (13,24,74,59), (12,74,65,19), (59,65,31,15), (19,31,62,58), (15,62,67,26), (58,67,29,16), (26,29,60,55), (16,60,64,30), (55,64,33,18), (30,33,54,53), (18,54,63,35), (53,63,22,32), (35,22,56,57), (32,56,34,48), (57,34,27,52), (48,27,44,51), (52,44,28,46), (51,28,42,49), (46,42,45,37), (49,45,36,40), (37,36,50,47), (40,50,39,41), (47,39,61,23), (41,61,25,43), (23,25,38,84), (43,38,83, 6). Outer numbers= 84, 6, 2,82,80,78, 8, 4,76,75, 10, 5,69,21,17,66,13,12,59,19, 15,58,26,16,55,30,18,53,35,32, 57,48,52,51,46,49,37,40,47,41, 23,43. Inner numbers= 83, 1,81, 7, 3,79, 9,77,14,70, 20,71,73,11,72,68,24,74,65,31, 62,67,29,60,64,33,54,63,22,56, 34,27,44,28,42,45,36,50,39,61, 25,38. ======= Data for a 43-v magic star (magic total = 174). (86,85, 1, 2), ( 6, 1,83,84), ( 2,83, 7,82), (84, 7, 3,80), (82, 3,81, 8), (80,81, 9, 4), ( 8, 9,79,78), ( 4,79,14,77), (78,14,72,10), (77,72,20, 5), (10,20,73,71), ( 5,73,75,21), (71,75,11,17), (21,11,74,68), (17,74,70,13), (68,70,24,12), (13,24,76,61), (12,76,67,19), (61,67,31,15), (19,31,64,60), (15,64,69,26), (60,69,29,16), (26,29,62,57), (16,62,66,30), (57,66,33,18), (30,33,56,55), (18,56,65,35), (55,65,22,32), (35,22,58,59), (32,58,50,34), (59,50,23,42), (34,23,63,54), (42,63,28,41), (54,28,43,49), (41,43,39,51), (49,39,40,46), (51,40,38,45), (46,38,37,53), (45,37,44,48), (53,44,52,25), (48,52,27,47), (25,27,36,86), (47,36,85, 6). Outer numbers= 86, 6, 2,84,82,80, 8, 4,78,77, 10, 5,71,21,17,68,13,12,61,19, 15,60,26,16,57,30,18,55,35,32, 59,34,42,54,41,49,51,46,45,53, 48,25,47. Inner numbers= 85, 1,83, 7, 3,81, 9,79,14,72, 20,73,75,11,74,70,24,76,67,31, 64,69,29,62,66,33,56,65,22,58, 50,23,63,28,43,39,40,38,37,44, 52,27,36. ======= Data for a 44-v magic star (magic total = 178). (87,88, 1, 2), ( 6, 1,85,86), ( 2,85, 7,84), (86, 7, 3,82), (84, 3,83, 8), (82,83, 9, 4), ( 8, 9,81,80), ( 4,81,14,79), (80,14,74,10), (79,74,20, 5), (10,20,75,73), ( 5,75,77,21), (73,77,11,17), (21,11,76,70), (17,76,72,13), (70,72,24,12), (13,24,78,63), (12,78,69,19), (63,69,31,15), (19,31,66,62), (15,66,71,26), (62,71,29,16), (26,29,64,59), (16,64,68,30), (59,68,33,18), (30,33,58,57), (18,58,67,35), (57,67,22,32), (35,22,60,61), (32,60,52,34), (61,52,23,42), (34,23,56,65), (42,56,25,55), (65,25,39,49), (55,39,37,47), (49,37,41,51), (47,41,44,46), (51,44,38,45), (46,38,40,54), (45,40,43,50), (54,43,53,28), (50,53,27,48), (28,27,36,87), (48,36,88, 6). Outer numbers= 87, 6, 2,86,84,82, 8, 4,80,79, 10, 5,73,21,17,70,13,12,63,19, 15,62,26,16,59,30,18,57,35,32, 61,34,42,65,55,49,47,51,46,45, 54,50,28,48. Inner numbers= 88, 1,85, 7, 3,83, 9,81,14,74, 20,75,77,11,76,72,24,78,69,31, 66,71,29,64,68,33,58,67,22,60, 52,23,56,25,39,37,41,44,38,40, 43,53,27,36. ======= Data for a 45-v magic star (magic total = 182). (89,90, 1, 2), ( 6, 1,87,88), ( 2,87, 7,86), (88, 7, 3,84), (86, 3,85, 8), (84,85, 9, 4), ( 8, 9,83,82), ( 4,83,14,81), (82,14,76,10), (81,76,20, 5), (10,20,77,75), ( 5,77,79,21), (75,79,11,17), (21,11,78,72), (17,78,74,13), (72,74,24,12), (13,24,80,65), (12,80,71,19), (65,71,31,15), (19,31,68,64), (15,68,73,26), (64,73,29,16), (26,29,66,61), (16,66,70,30), (61,70,33,18), (30,33,60,59), (18,60,69,35), (59,69,22,32), (35,22,62,63), (32,62,54,34), (63,54,23,42), (34,23,58,67), (42,58,25,57), (67,25,37,53), (57,37,41,47), (53,41,45,43), (47,45,40,50), (43,40,44,55), (50,44,39,49), (55,39,36,52), (49,36,46,51), (52,46,56,28), (51,56,27,48), (28,27,38,89), (48,38,90, 6). Outer numbers= 89, 6, 2,88,86,84, 8, 4,82,81, 10, 5,75,21,17,72,13,12,65,19, 15,64,26,16,61,30,18,59,35,32, 63,34,42,67,57,53,47,43,50,55, 49,52,51,28,48. Inner numbers= 90, 1,87, 7, 3,85, 9,83,14,76, 20,77,79,11,78,74,24,80,71,31, 68,73,29,66,70,33,60,69,22,62, 54,23,58,25,37,41,45,40,44,39, 36,46,56,27,38. ======= Data for a 46-v magic star (magic total = 186). (91,92, 1, 2), ( 6, 1,89,90), ( 2,89, 7,88), (90, 7, 3,86), (88, 3,87, 8), (86,87, 9, 4), ( 8, 9,85,84), ( 4,85,14,83), (84,14,78,10), (83,78,20, 5), (10,20,79,77), ( 5,79,81,21), (77,81,11,17), (21,11,80,74), (17,80,76,13), (74,76,24,12), (13,24,82,67), (12,82,73,19), (67,73,31,15), (19,31,70,66), (15,70,75,26), (66,75,29,16), (26,29,68,63), (16,68,72,30), (63,72,33,18), (30,33,62,61), (18,62,71,35), (61,71,22,32), (35,22,64,65), (32,64,56,34), (65,56,23,42), (34,23,60,69), (42,60,25,59), (69,25,37,55), (59,37,36,54), (55,36,38,57), (54,38,44,50), (57,44,39,46), (50,39,52,45), (46,52,47,41), (45,47,43,51), (41,43,49,53), (51,49,58,28), (53,58,27,48), (28,27,40,91), (48,40,92, 6). Outer numbers= 91, 6, 2,90,88,86, 8, 4,84,83, 10, 5,77,21,17,74,13,12,67,19, 15,66,26,16,63,30,18,61,35,32, 65,34,42,69,59,55,54,57,50,46, 45,41,51,53,28,48. Inner numbers= 92, 1,89, 7, 3,87, 9,85,14,78, 20,79,81,11,80,76,24,82,73,31, 70,75,29,68,72,33,62,71,22,64, 56,23,60,25,37,36,38,44,39,52, 47,43,49,58,27,40. ======= Data for a 47-v magic star (magic total = 190). (94,93, 1, 2), ( 6, 1,91,92), ( 2,91, 7,90), (92, 7, 3,88), (90, 3,89, 8), (88,89, 9, 4), ( 8, 9,87,86), ( 4,87,14,85), (86,14,80,10), (85,80,20, 5), (10,20,81,79), ( 5,81,83,21), (79,83,11,17), (21,11,82,76), (17,82,78,13), (76,78,24,12), (13,24,84,69), (12,84,75,19), (69,75,31,15), (19,31,72,68), (15,72,77,26), (68,77,29,16), (26,29,70,65), (16,70,74,30), (65,74,33,18), (30,33,64,63), (18,64,73,35), (63,73,22,32), (35,22,66,67), (32,66,58,34), (67,58,23,42), (34,23,62,71), (42,62,25,61), (71,25,37,57), (61,37,36,56), (57,36,38,59), (56,38,43,53), (59,43,40,48), (53,40,51,46), (48,51,44,47), (46,44,55,45), (47,55,39,49), (45,39,54,52), (49,54,60,27), (52,60,28,50), (27,28,41,94), (50,41,93, 6). Outer numbers= 94, 6, 2,92,90,88, 8, 4,86,85, 10, 5,79,21,17,76,13,12,69,19, 15,68,26,16,65,30,18,63,35,32, 67,34,42,71,61,57,56,59,53,48, 46,47,45,49,52,27,50. Inner numbers= 93, 1,91, 7, 3,89, 9,87,14,80, 20,81,83,11,82,78,24,84,75,31, 72,77,29,70,74,33,64,73,22,66, 58,23,62,25,37,36,38,43,40,51, 44,55,39,54,60,28,41. ======= Data for a 48-v magic star (magic total = 194). (96,95, 1, 2), ( 6, 1,93,94), ( 2,93, 7,92), (94, 7, 3,90), (92, 3,91, 8), (90,91, 9, 4), ( 8, 9,89,88), ( 4,89,14,87), (88,14,82,10), (87,82,20, 5), (10,20,83,81), ( 5,83,85,21), (81,85,11,17), (21,11,84,78), (17,84,80,13), (78,80,24,12), (13,24,86,71), (12,86,77,19), (71,77,31,15), (19,31,74,70), (15,74,79,26), (70,79,29,16), (26,29,72,67), (16,72,76,30), (67,76,33,18), (30,33,66,65), (18,66,75,35), (65,75,22,32), (35,22,68,69), (32,68,60,34), (69,60,23,42), (34,23,64,73), (42,64,25,63), (73,25,37,59), (63,37,36,58), (59,36,38,61), (58,38,41,57), (61,41,44,48), (57,44,53,40), (48,53,47,46), (40,47,52,55), (46,52,51,45), (55,51,39,49), (45,39,56,54), (49,56,62,27), (54,62,28,50), (27,28,43,96), (50,43,95, 6). Outer numbers= 96, 6, 2,94,92,90, 8, 4,88,87, 10, 5,81,21,17,78,13,12,71,19, 15,70,26,16,67,30,18,65,35,32, 69,34,42,73,63,59,58,61,57,48, 40,46,55,45,49,54,27,50. Inner numbers= 95, 1,93, 7, 3,91, 9,89,14,82, 20,83,85,11,84,80,24,86,77,31, 74,79,29,72,76,33,66,75,22,68, 60,23,64,25,37,36,38,41,44,53, 47,52,51,39,56,62,28,43. ======= Data for a 49-v magic star (magic total = 198). (97,98, 1, 2), ( 6, 1,95,96), ( 2,95, 7,94), (96, 7, 3,92), (94, 3,93, 8), (92,93, 9, 4), ( 8, 9,91,90), ( 4,91,14,89), (90,14,84,10), (89,84,20, 5), (10,20,85,83), ( 5,85,87,21), (83,87,11,17), (21,11,86,80), (17,86,82,13), (80,82,24,12), (13,24,88,73), (12,88,79,19), (73,79,31,15), (19,31,76,72), (15,76,81,26), (72,81,29,16), (26,29,74,69), (16,74,78,30), (69,78,33,18), (30,33,68,67), (18,68,77,35), (67,77,22,32), (35,22,70,71), (32,70,62,34), (71,62,23,42), (34,23,66,75), (42,66,25,65), (75,25,61,37), (65,61,44,28), (37,44,59,58), (28,59,47,64), (58,47,39,54), (64,39,43,52), (54,43,41,60), (52,41,48,57), (60,48,50,40), (57,50,46,45), (40,46,49,63), (45,49,53,51), (63,53,55,27), (51,55,36,56), (27,36,38,97), (56,38,98, 6). Outer numbers= 97, 6, 2,96,94,92, 8, 4,90,89, 10, 5,83,21,17,80,13,12,73,19, 15,72,26,16,69,30,18,67,35,32, 71,34,42,75,65,37,28,58,64,54, 52,60,57,40,45,63,51,27,56. Inner numbers= 98, 1,95, 7, 3,93, 9,91,14,84, 20,85,87,11,86,82,24,88,79,31, 76,81,29,74,78,33,68,77,22,70, 62,23,66,25,61,44,59,47,39,43, 41,48,50,46,49,53,55,36,38. ======= Data for a 50-v magic star (magic total = 202). (99,100,1, 2), ( 6, 1,97,98), ( 2,97, 7,96), (98, 7, 3,94), (96, 3,95, 8), (94,95, 9, 4), ( 8, 9,93,92), ( 4,93,14,91), (92,14,86,10), (91,86,20, 5), (10,20,87,85), ( 5,87,89,21), (85,89,11,17), (21,11,88,82), (17,88,84,13), (82,84,24,12), (13,24,90,75), (12,90,81,19), (75,81,31,15), (19,31,78,74), (15,78,83,26), (74,83,29,16), (26,29,76,71), (16,76,80,30), (71,80,33,18), (30,33,70,69), (18,70,79,35), (69,79,22,32), (35,22,72,73), (32,72,64,34), (73,64,23,42), (34,23,68,77), (42,68,25,67), (77,25,63,37), (67,63,45,27), (37,45,61,59), (27,61,48,66), (59,48,38,57), (66,38,40,58), (57,40,43,62), (58,43,49,52), (62,49,41,50), (52,41,55,54), (50,55,51,46), (54,51,44,53), (46,44,65,47), (53,65,56,28), (47,56,39,60), (28,39,36,99), (60,36,100,6). Outer numbers= 99, 6, 2,98,96,94, 8, 4,92,91, 10, 5,85,21,17,82,13,12,75,19, 15,74,26,16,71,30,18,69,35,32, 73,34,42,77,67,37,27,59,66,57, 58,62,52,50,54,46,53,47,28,60. Inner numbers= 100, 1,97, 7, 3,95, 9,93,14,86, 20,87,89,11,88,84,24,90,81,31, 78,83,29,76,80,33,70,79,22,72, 64,23,68,25,63,45,61,48,38,40, 43,49,41,55,51,44,65,56,39,36.