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(1, 1, 1, (0, 0, 0), -3): (356, 1256)
(1, 1, 1, (0, 0, 0), -2): (989, 2883)
(1, 1, 1, (0, 0, 0), -1): (2699, 6016)
(1, 1, 1, (0, 0, 0), 0): (16055, 28411)
(1, 1, 1, (0, 0, 0), 1): (878, 1323)
(1, 1, 1, (0, 0, 0), 2): (629, 832)
(1, 1, 1, (0, 0, 0), 3): (375, 450)
(1, 1, 1, (0, 0, 0), 4): (190, 205)
(1, 1, 1, (0, 0, 0), 5): (67, 71)
(1, 1, 1, (0, 0, 0), 6): (25, 27)
(1, 1, 1, (0, 0, 0), 7): (8, 9)
(1, 1, 1, (0, 0, 0), 8): (1, 1)
(1, 1, 1, (0, 0, 0), 9): (2, 2)
(1, 1, 1, (0, 0, 0), 11): (1, 1)
(1, 1, 1, (0, 0, 1), -9): (0, 1)
(1, 1, 1, (0, 0, 1), -8): (0, 1)
(1, 1, 1, (0, 0, 1), -7): (0, 3)
(1, 1, 1, (0, 0, 1), -6): (1, 4)
(1, 1, 1, (0, 0, 1), -5): (2, 15)
(1, 1, 1, (0, 0, 1), -4): (12, 45)
(1, 1, 1, (0, 0, 1), -3): (34, 92)
(1, 1, 1, (0, 0, 1), -2): (95, 216)
(1, 1, 1, (0, 0, 1), -1): (274, 511)
(1, 1, 1, (0, 0, 1), 0): (1509, 2366)
(1, 1, 1, (0, 0, 1), 1): (435, 602)
(1, 1, 1, (0, 0, 1), 2): (184, 229)
(1, 1, 1, (0, 0, 1), 3): (82, 96)
(1, 1, 1, (0, 0, 1), 4): (32, 35)
(1, 1, 1, (0, 0, 1), 5): (10, 10)
(1, 1, 1, (0, 0, 1), 6): (6, 6)
(1, 1, 1, (0, 0, 1), 7): (4, 4)
(1, 1, 1, (0, 1, 0), -10): (1, 1)
(1, 1, 1, (0, 1, 0), -9): (0, 1)
(1, 1, 1, (0, 1, 0), -8): (1, 2)
(1, 1, 1, (0, 1, 0), -7): (1, 6)
(1, 1, 1, (0, 1, 0), -6): (2, 14)
(1, 1, 1, (0, 1, 0), -5): (16, 48)
(1, 1, 1, (0, 1, 0), -4): (27, 115)
(1, 1, 1, (0, 1, 0), -3): (87, 226)
(1, 1, 1, (0, 1, 0), -2): (236, 575)
(1, 1, 1, (0, 1, 0), -1): (619, 1230)
(1, 1, 1, (0, 1, 0), 0): (3475, 5742)
(1, 1, 1, (0, 1, 0), 1): (863, 1249)
(1, 1, 1, (0, 1, 0), 2): (401, 515)
(1, 1, 1, (0, 1, 0), 3): (190, 227)
(1, 1, 1, (0, 1, 0), 4): (80, 87)
(1, 1, 1, (0, 1, 0), 5): (31, 32)
(1, 1, 1, (0, 1, 0), 6): (10, 10)
(1, 1, 1, (0, 1, 0), 7): (4, 4)
(1, 1, 1, (0, 1, 0), 8): (1, 1)
(1, 1, 1, (0, 1, 0), 13): (1, 1)
(1, 1, 1, (0, 1, 1), -8): (0, 1)
(1, 1, 1, (0, 1, 1), -7): (0, 1)
(1, 1, 1, (0, 1, 1), -6): (0, 3)
(1, 1, 1, (0, 1, 1), -5): (4, 7)
(1, 1, 1, (0, 1, 1), -4): (6, 28)
(1, 1, 1, (0, 1, 1), -3): (26, 66)
(1, 1, 1, (0, 1, 1), -2): (65, 132)
(1, 1, 1, (0, 1, 1), -1): (127, 239)
(1, 1, 1, (0, 1, 1), 0): (761, 1107)
(1, 1, 1, (0, 1, 1), 1): (370, 484)
(1, 1, 1, (0, 1, 1), 2): (158, 192)
(1, 1, 1, (0, 1, 1), 3): (81, 96)
(1, 1, 1, (0, 1, 1), 4): (29, 33)
(1, 1, 1, (0, 1, 1), 5): (13, 13)
(1, 1, 1, (0, 1, 1), 6): (2, 2)
(1, 1, 1, (0, 1, 1), 7): (2, 2)
(1, 1, 1, (1, 0, 0), -9): (0, 3)
(1, 1, 1, (1, 0, 0), -8): (1, 4)
(1, 1, 1, (1, 0, 0), -7): (1, 10)
(1, 1, 1, (1, 0, 0), -6): (3, 33)
(1, 1, 1, (1, 0, 0), -5): (14, 95)
(1, 1, 1, (1, 0, 0), -4): (55, 260)
(1, 1, 1, (1, 0, 0), -3): (186, 600)
(1, 1, 1, (1, 0, 0), -2): (474, 1237)
(1, 1, 1, (1, 0, 0), -1): (1214, 2495)
(1, 1, 1, (1, 0, 0), 0): (6702, 11245)
(1, 1, 1, (1, 0, 0), 1): (1087, 1601)
(1, 1, 1, (1, 0, 0), 2): (499, 631)
(1, 1, 1, (1, 0, 0), 3): (214, 263)
(1, 1, 1, (1, 0, 0), 4): (101, 109)
(1, 1, 1, (1, 0, 0), 5): (36, 39)
(1, 1, 1, (1, 0, 0), 6): (21, 22)
(1, 1, 1, (1, 0, 0), 7): (2, 2)
(1, 1, 1, (1, 0, 0), 9): (2, 2)
(1, 1, 1, (1, 0, 0), 11): (1, 1)
(1, 1, 1, (1, 0, 1), -7): (2, 5)
(1, 1, 1, (1, 0, 1), -6): (0, 4)
(1, 1, 1, (1, 0, 1), -5): (7, 16)
(1, 1, 1, (1, 0, 1), -4): (12, 37)
(1, 1, 1, (1, 0, 1), -3): (32, 86)
(1, 1, 1, (1, 0, 1), -2): (88, 193)
(1, 1, 1, (1, 0, 1), -1): (253, 442)
(1, 1, 1, (1, 0, 1), 0): (1280, 1909)
(1, 1, 1, (1, 0, 1), 1): (559, 772)
(1, 1, 1, (1, 0, 1), 2): (261, 307)
(1, 1, 1, (1, 0, 1), 3): (111, 123)
(1, 1, 1, (1, 0, 1), 4): (51, 55)
(1, 1, 1, (1, 0, 1), 5): (14, 16)
(1, 1, 1, (1, 0, 1), 6): (2, 3)
(1, 1, 1, (1, 0, 1), 7): (4, 4)
(1, 1, 1, (1, 0, 1), 8): (1, 1)
(1, 1, 1, (1, 0, 1), 9): (1, 1)
(1, 1, 1, (1, 0, 1), 10): (1, 1)
(1, 1, 1, (1, 0, 1), 13): (1, 1)
(1, 1, 1, (1, 1, 0), -9): (0, 1)
(1, 1, 1, (1, 1, 0), -7): (0, 1)
(1, 1, 1, (1, 1, 0), -6): (0, 17)
(1, 1, 1, (1, 1, 0), -5): (6, 36)
(1, 1, 1, (1, 1, 0), -4): (26, 82)
(1, 1, 1, (1, 1, 0), -3): (71, 202)
(1, 1, 1, (1, 1, 0), -2): (190, 413)
(1, 1, 1, (1, 1, 0), -1): (430, 834)
(1, 1, 1, (1, 1, 0), 0): (2267, 3557)
(1, 1, 1, (1, 1, 0), 1): (741, 1028)
(1, 1, 1, (1, 1, 0), 2): (386, 501)
(1, 1, 1, (1, 1, 0), 3): (182, 207)
(1, 1, 1, (1, 1, 0), 4): (57, 62)
(1, 1, 1, (1, 1, 0), 5): (32, 37)
(1, 1, 1, (1, 1, 0), 6): (7, 7)
(1, 1, 1, (1, 1, 0), 7): (2, 2)
(1, 1, 1, (1, 1, 0), 8): (1, 1)
(1, 1, 1, (1, 1, 0), 9): (1, 1)
(1, 1, 1, (1, 1, 0), 14): (1, 1)
(1, 1, 1, (1, 1, 1), -9): (0, 1)
(1, 1, 1, (1, 1, 1), -7): (0, 1)
(1, 1, 1, (1, 1, 1), -6): (0, 3)
(1, 1, 1, (1, 1, 1), -5): (0, 8)
(1, 1, 1, (1, 1, 1), -4): (9, 27)
(1, 1, 1, (1, 1, 1), -3): (25, 56)
(1, 1, 1, (1, 1, 1), -2): (59, 113)
(1, 1, 1, (1, 1, 1), -1): (153, 248)
(1, 1, 1, (1, 1, 1), 0): (758, 1038)
(1, 1, 1, (1, 1, 1), 1): (378, 498)
(1, 1, 1, (1, 1, 1), 2): (164, 192)
(1, 1, 1, (1, 1, 1), 3): (66, 75)
(1, 1, 1, (1, 1, 1), 4): (23, 24)
(1, 1, 1, (1, 1, 1), 5): (12, 13)
(1, 1, 1, (1, 1, 1), 6): (5, 5)
(1, 1, 1, (1, 1, 1), 7): (1, 1)
(1, 1, 1, (1, 1, 1), 8): (1, 1)
(1, 1, 1, (1, 1, 1), 9): (2, 2)
(1, 1, 1, (1, 1, 1), 10): (1, 1)
(1, 1, 1, (1, 1, 1), 14): (1, 1)
(1, 1, 2, (0, 0, 0), -11): (0, 1)
(1, 1, 2, (0, 0, 0), -10): (0, 2)
(1, 1, 2, (0, 0, 0), -9): (0, 4)
(1, 1, 2, (0, 0, 0), -8): (0, 2)
(1, 1, 2, (0, 0, 0), -7): (0, 14)
(1, 1, 2, (0, 0, 0), -6): (3, 44)
(1, 1, 2, (0, 0, 0), -5): (19, 149)
(1, 1, 2, (0, 0, 0), -4): (58, 397)
(1, 1, 2, (0, 0, 0), -3): (246, 943)
(1, 1, 2, (0, 0, 0), -2): (689, 2120)
(1, 1, 2, (0, 0, 0), -1): (1969, 4536)
(1, 1, 2, (0, 0, 0), 0): (11359, 20781)
(1, 1, 2, (0, 0, 0), 1): (1696, 2576)
(1, 1, 2, (0, 0, 0), 2): (1051, 1413)
(1, 1, 2, (0, 0, 0), 3): (604, 715)
(1, 1, 2, (0, 0, 0), 4): (304, 344)
(1, 1, 2, (0, 0, 0), 5): (123, 128)
(1, 1, 2, (0, 0, 0), 6): (46, 50)
(1, 1, 2, (0, 0, 0), 7): (22, 23)
(1, 1, 2, (0, 0, 0), 8): (6, 6)
(1, 1, 2, (0, 0, 0), 9): (5, 5)
(1, 1, 2, (0, 0, 1), -7): (0, 6)
(1, 1, 2, (0, 0, 1), -6): (1, 5)
(1, 1, 2, (0, 0, 1), -5): (2, 17)
(1, 1, 2, (0, 0, 1), -4): (10, 55)
(1, 1, 2, (0, 0, 1), -3): (33, 95)
(1, 1, 2, (0, 0, 1), -2): (81, 230)
(1, 1, 2, (0, 0, 1), -1): (230, 529)
(1, 1, 2, (0, 0, 1), 0): (1357, 2371)
(1, 1, 2, (0, 0, 1), 1): (571, 858)
(1, 1, 2, (0, 0, 1), 2): (336, 445)
(1, 1, 2, (0, 0, 1), 3): (169, 205)
(1, 1, 2, (0, 0, 1), 4): (69, 76)
(1, 1, 2, (0, 0, 1), 5): (32, 34)
(1, 1, 2, (0, 0, 1), 6): (7, 7)
(1, 1, 2, (0, 0, 1), 7): (6, 6)
(1, 1, 2, (0, 0, 1), 8): (3, 3)
(1, 1, 2, (0, 0, 1), 9): (2, 2)
(1, 1, 2, (0, 1, 0), -8): (1, 3)
(1, 1, 2, (0, 1, 0), -7): (0, 1)
(1, 1, 2, (0, 1, 0), -6): (1, 4)
(1, 1, 2, (0, 1, 0), -5): (15, 42)
(1, 1, 2, (0, 1, 0), -4): (14, 85)
(1, 1, 2, (0, 1, 0), -3): (70, 268)
(1, 1, 2, (0, 1, 0), -2): (189, 521)
(1, 1, 2, (0, 1, 0), -1): (555, 1196)
(1, 1, 2, (0, 1, 0), 0): (3116, 5473)
(1, 1, 2, (0, 1, 0), 1): (1226, 1829)
(1, 1, 2, (0, 1, 0), 2): (730, 951)
(1, 1, 2, (0, 1, 0), 3): (399, 474)
(1, 1, 2, (0, 1, 0), 4): (191, 210)
(1, 1, 2, (0, 1, 0), 5): (72, 79)
(1, 1, 2, (0, 1, 0), 6): (33, 36)
(1, 1, 2, (0, 1, 0), 7): (13, 13)
(1, 1, 2, (0, 1, 0), 8): (6, 6)
(1, 1, 2, (0, 1, 0), 9): (1, 1)
(1, 1, 2, (0, 1, 0), 10): (1, 1)
(1, 1, 2, (0, 1, 1), -6): (0, 2)
(1, 1, 2, (0, 1, 1), -5): (1, 10)
(1, 1, 2, (0, 1, 1), -4): (3, 21)
(1, 1, 2, (0, 1, 1), -3): (13, 52)
(1, 1, 2, (0, 1, 1), -2): (45, 109)
(1, 1, 2, (0, 1, 1), -1): (98, 220)
(1, 1, 2, (0, 1, 1), 0): (534, 894)
(1, 1, 2, (0, 1, 1), 1): (378, 532)
(1, 1, 2, (0, 1, 1), 2): (219, 276)
(1, 1, 2, (0, 1, 1), 3): (130, 148)
(1, 1, 2, (0, 1, 1), 4): (48, 56)
(1, 1, 2, (0, 1, 1), 5): (34, 36)
(1, 1, 2, (0, 1, 1), 6): (4, 4)
(1, 1, 2, (0, 1, 1), 7): (10, 10)
(1, 1, 2, (0, 1, 1), 8): (1, 1)
(1, 1, 2, (0, 1, 1), 10): (1, 1)
(1, 1, 2, (0, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 0, 0), -9): (0, 1)
(1, 1, 2, (1, 0, 0), -8): (0, 1)
(1, 1, 2, (1, 0, 0), -7): (0, 8)
(1, 1, 2, (1, 0, 0), -6): (3, 22)
(1, 1, 2, (1, 0, 0), -5): (9, 81)
(1, 1, 2, (1, 0, 0), -4): (25, 197)
(1, 1, 2, (1, 0, 0), -3): (123, 488)
(1, 1, 2, (1, 0, 0), -2): (336, 1073)
(1, 1, 2, (1, 0, 0), -1): (1020, 2299)
(1, 1, 2, (1, 0, 0), 0): (5484, 9717)
(1, 1, 2, (1, 0, 0), 1): (1676, 2513)
(1, 1, 2, (1, 0, 0), 2): (900, 1173)
(1, 1, 2, (1, 0, 0), 3): (419, 514)
(1, 1, 2, (1, 0, 0), 4): (228, 252)
(1, 1, 2, (1, 0, 0), 5): (88, 92)
(1, 1, 2, (1, 0, 0), 6): (41, 43)
(1, 1, 2, (1, 0, 0), 7): (19, 22)
(1, 1, 2, (1, 0, 0), 8): (4, 4)
(1, 1, 2, (1, 0, 0), 9): (1, 1)
(1, 1, 2, (1, 0, 0), 10): (1, 1)
(1, 1, 2, (1, 0, 0), 11): (1, 1)
(1, 1, 2, (1, 0, 1), -7): (1, 3)
(1, 1, 2, (1, 0, 1), -6): (0, 8)
(1, 1, 2, (1, 0, 1), -5): (4, 18)
(1, 1, 2, (1, 0, 1), -4): (5, 40)
(1, 1, 2, (1, 0, 1), -3): (23, 95)
(1, 1, 2, (1, 0, 1), -2): (70, 204)
(1, 1, 2, (1, 0, 1), -1): (226, 470)
(1, 1, 2, (1, 0, 1), 0): (1106, 1877)
(1, 1, 2, (1, 0, 1), 1): (676, 985)
(1, 1, 2, (1, 0, 1), 2): (389, 505)
(1, 1, 2, (1, 0, 1), 3): (201, 241)
(1, 1, 2, (1, 0, 1), 4): (81, 94)
(1, 1, 2, (1, 0, 1), 5): (32, 36)
(1, 1, 2, (1, 0, 1), 6): (14, 14)
(1, 1, 2, (1, 0, 1), 7): (8, 8)
(1, 1, 2, (1, 0, 1), 8): (4, 4)
(1, 1, 2, (1, 0, 1), 9): (2, 2)
(1, 1, 2, (1, 0, 1), 10): (3, 3)
(1, 1, 2, (1, 1, 0), -9): (0, 1)
(1, 1, 2, (1, 1, 0), -7): (0, 2)
(1, 1, 2, (1, 1, 0), -6): (1, 9)
(1, 1, 2, (1, 1, 0), -5): (5, 38)
(1, 1, 2, (1, 1, 0), -4): (19, 81)
(1, 1, 2, (1, 1, 0), -3): (60, 207)
(1, 1, 2, (1, 1, 0), -2): (174, 471)
(1, 1, 2, (1, 1, 0), -1): (434, 917)
(1, 1, 2, (1, 1, 0), 0): (2308, 3920)
(1, 1, 2, (1, 1, 0), 1): (1079, 1568)
(1, 1, 2, (1, 1, 0), 2): (652, 837)
(1, 1, 2, (1, 1, 0), 3): (292, 348)
(1, 1, 2, (1, 1, 0), 4): (143, 159)
(1, 1, 2, (1, 1, 0), 5): (43, 47)
(1, 1, 2, (1, 1, 0), 6): (19, 20)
(1, 1, 2, (1, 1, 0), 7): (15, 15)
(1, 1, 2, (1, 1, 0), 8): (3, 3)
(1, 1, 2, (1, 1, 0), 9): (3, 3)
(1, 1, 2, (1, 1, 0), 10): (2, 2)
(1, 1, 2, (1, 1, 0), 11): (1, 1)
(1, 1, 2, (1, 1, 1), -9): (0, 1)
(1, 1, 2, (1, 1, 1), -6): (0, 3)
(1, 1, 2, (1, 1, 1), -5): (1, 10)
(1, 1, 2, (1, 1, 1), -4): (5, 21)
(1, 1, 2, (1, 1, 1), -3): (29, 71)
(1, 1, 2, (1, 1, 1), -2): (57, 147)
(1, 1, 2, (1, 1, 1), -1): (136, 267)
(1, 1, 2, (1, 1, 1), 0): (741, 1172)
(1, 1, 2, (1, 1, 1), 1): (430, 610)
(1, 1, 2, (1, 1, 1), 2): (262, 318)
(1, 1, 2, (1, 1, 1), 3): (137, 159)
(1, 1, 2, (1, 1, 1), 4): (40, 44)
(1, 1, 2, (1, 1, 1), 5): (30, 34)
(1, 1, 2, (1, 1, 1), 6): (7, 7)
(1, 1, 2, (1, 1, 1), 7): (2, 2)
(1, 1, 2, (1, 1, 1), 8): (2, 2)
(1, 1, 2, (1, 1, 1), 9): (2, 2)
(1, 1, 2, (1, 1, 1), 10): (2, 2)
(1, 1, 2, (1, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 1, 1), 14): (1, 1)
(2, 0, 0, (0, 0, 0), -14): (0, 1)
(2, 0, 0, (0, 0, 0), -13): (0, 2)
(2, 0, 0, (0, 0, 0), -11): (0, 1)
(2, 0, 0, (0, 0, 0), -10): (0, 5)
(2, 0, 0, (0, 0, 0), -9): (0, 11)
(2, 0, 0, (0, 0, 0), -8): (0, 19)
(2, 0, 0, (0, 0, 0), -7): (3, 62)
(2, 0, 0, (0, 0, 0), -6): (7, 132)
(2, 0, 0, (0, 0, 0), -5): (28, 358)
(2, 0, 0, (0, 0, 0), -4): (97, 893)
(2, 0, 0, (0, 0, 0), -3): (351, 1974)
(2, 0, 0, (0, 0, 0), -2): (1065, 4057)
(2, 0, 0, (0, 0, 0), -1): (2882, 7979)
(2, 0, 0, (0, 0, 0), 0): (14450, 30955)
(2, 0, 0, (0, 0, 0), 1): (4631, 7940)
(2, 0, 0, (0, 0, 0), 2): (2552, 3693)
(2, 0, 0, (0, 0, 0), 3): (1279, 1685)
(2, 0, 0, (0, 0, 0), 4): (604, 713)
(2, 0, 0, (0, 0, 0), 5): (223, 258)
(2, 0, 0, (0, 0, 0), 6): (80, 85)
(2, 0, 0, (0, 0, 0), 7): (28, 29)
(2, 0, 0, (0, 0, 0), 8): (5, 6)
(2, 0, 0, (0, 0, 0), 9): (8, 8)
(2, 0, 0, (0, 0, 0), 10): (3, 3)
(2, 0, 0, (0, 0, 0), 11): (1, 1)
(2, 0, 0, (0, 0, 1), -6): (0, 2)
(2, 0, 0, (0, 0, 1), -5): (0, 3)
(2, 0, 0, (0, 0, 1), -4): (1, 7)
(2, 0, 0, (0, 0, 1), -3): (3, 16)
(2, 0, 0, (0, 0, 1), -2): (13, 35)
(2, 0, 0, (0, 0, 1), -1): (28, 63)
(2, 0, 0, (0, 0, 1), 0): (133, 224)
(2, 0, 0, (0, 0, 1), 1): (87, 132)
(2, 0, 0, (0, 0, 1), 2): (43, 61)
(2, 0, 0, (0, 0, 1), 3): (32, 40)
(2, 0, 0, (0, 0, 1), 4): (21, 23)
(2, 0, 0, (0, 0, 1), 5): (6, 6)
(2, 0, 0, (0, 0, 1), 6): (5, 5)
(2, 0, 0, (0, 0, 1), 7): (3, 3)
(2, 0, 0, (0, 0, 1), 8): (1, 1)
(2, 0, 0, (0, 1, 0), -11): (0, 1)
(2, 0, 0, (0, 1, 0), -7): (0, 4)
(2, 0, 0, (0, 1, 0), -6): (0, 9)
(2, 0, 0, (0, 1, 0), -5): (3, 19)
(2, 0, 0, (0, 1, 0), -4): (10, 67)
(2, 0, 0, (0, 1, 0), -3): (25, 112)
(2, 0, 0, (0, 1, 0), -2): (84, 250)
(2, 0, 0, (0, 1, 0), -1): (212, 503)
(2, 0, 0, (0, 1, 0), 0): (1028, 1965)
(2, 0, 0, (0, 1, 0), 1): (460, 704)
(2, 0, 0, (0, 1, 0), 2): (248, 340)
(2, 0, 0, (0, 1, 0), 3): (109, 150)
(2, 0, 0, (0, 1, 0), 4): (56, 64)
(2, 0, 0, (0, 1, 0), 5): (22, 25)
(2, 0, 0, (0, 1, 0), 6): (14, 14)
(2, 0, 0, (0, 1, 0), 7): (3, 3)
(2, 0, 0, (0, 1, 0), 8): (1, 1)
(2, 0, 0, (0, 1, 0), 9): (1, 1)
(2, 0, 0, (0, 1, 0), 10): (2, 2)
(2, 0, 0, (0, 1, 1), -7): (0, 1)
(2, 0, 0, (0, 1, 1), -5): (0, 2)
(2, 0, 0, (0, 1, 1), -4): (3, 7)
(2, 0, 0, (0, 1, 1), -3): (3, 17)
(2, 0, 0, (0, 1, 1), -2): (19, 50)
(2, 0, 0, (0, 1, 1), -1): (45, 91)
(2, 0, 0, (0, 1, 1), 0): (210, 324)
(2, 0, 0, (0, 1, 1), 1): (127, 189)
(2, 0, 0, (0, 1, 1), 2): (73, 96)
(2, 0, 0, (0, 1, 1), 3): (30, 37)
(2, 0, 0, (0, 1, 1), 4): (19, 24)
(2, 0, 0, (0, 1, 1), 5): (6, 6)
(2, 0, 0, (0, 1, 1), 6): (6, 6)
(2, 0, 0, (0, 1, 1), 7): (3, 3)
(2, 0, 0, (1, 0, 0), -13): (0, 1)
(2, 0, 0, (1, 0, 0), -11): (0, 1)
(2, 0, 0, (1, 0, 0), -10): (0, 1)
(2, 0, 0, (1, 0, 0), -9): (0, 3)
(2, 0, 0, (1, 0, 0), -8): (0, 7)
(2, 0, 0, (1, 0, 0), -7): (3, 17)
(2, 0, 0, (1, 0, 0), -6): (1, 32)
(2, 0, 0, (1, 0, 0), -5): (9, 88)
(2, 0, 0, (1, 0, 0), -4): (25, 219)
(2, 0, 0, (1, 0, 0), -3): (103, 502)
(2, 0, 0, (1, 0, 0), -2): (302, 1027)
(2, 0, 0, (1, 0, 0), -1): (815, 2017)
(2, 0, 0, (1, 0, 0), 0): (3844, 7789)
(2, 0, 0, (1, 0, 0), 1): (1292, 2095)
(2, 0, 0, (1, 0, 0), 2): (707, 979)
(2, 0, 0, (1, 0, 0), 3): (327, 417)
(2, 0, 0, (1, 0, 0), 4): (174, 197)
(2, 0, 0, (1, 0, 0), 5): (50, 62)
(2, 0, 0, (1, 0, 0), 6): (30, 31)
(2, 0, 0, (1, 0, 0), 7): (8, 8)
(2, 0, 0, (1, 0, 0), 8): (3, 4)
(2, 0, 0, (1, 0, 0), 9): (1, 1)
(2, 0, 0, (1, 0, 1), -6): (2, 2)
(2, 0, 0, (1, 0, 1), -5): (0, 1)
(2, 0, 0, (1, 0, 1), -4): (4, 23)
(2, 0, 0, (1, 0, 1), -3): (8, 32)
(2, 0, 0, (1, 0, 1), -2): (33, 86)
(2, 0, 0, (1, 0, 1), -1): (86, 164)
(2, 0, 0, (1, 0, 1), 0): (329, 549)
(2, 0, 0, (1, 0, 1), 1): (182, 283)
(2, 0, 0, (1, 0, 1), 2): (99, 147)
(2, 0, 0, (1, 0, 1), 3): (52, 73)
(2, 0, 0, (1, 0, 1), 4): (16, 17)
(2, 0, 0, (1, 0, 1), 5): (17, 17)
(2, 0, 0, (1, 0, 1), 6): (10, 11)
(2, 0, 0, (1, 0, 1), 7): (1, 1)
(2, 0, 0, (1, 1, 0), -9): (0, 1)
(2, 0, 0, (1, 1, 0), -8): (0, 3)
(2, 0, 0, (1, 1, 0), -7): (3, 6)
(2, 0, 0, (1, 1, 0), -6): (0, 6)
(2, 0, 0, (1, 1, 0), -5): (3, 18)
(2, 0, 0, (1, 1, 0), -4): (12, 54)
(2, 0, 0, (1, 1, 0), -3): (39, 127)
(2, 0, 0, (1, 1, 0), -2): (92, 244)
(2, 0, 0, (1, 1, 0), -1): (226, 476)
(2, 0, 0, (1, 1, 0), 0): (933, 1669)
(2, 0, 0, (1, 1, 0), 1): (384, 576)
(2, 0, 0, (1, 1, 0), 2): (191, 267)
(2, 0, 0, (1, 1, 0), 3): (83, 100)
(2, 0, 0, (1, 1, 0), 4): (48, 52)
(2, 0, 0, (1, 1, 0), 5): (18, 18)
(2, 0, 0, (1, 1, 0), 6): (7, 7)
(2, 0, 0, (1, 1, 0), 7): (6, 6)
(2, 0, 0, (1, 1, 0), 8): (3, 3)
(2, 0, 0, (1, 1, 0), 10): (1, 1)
(2, 0, 0, (1, 1, 1), -8): (0, 1)
(2, 0, 0, (1, 1, 1), -7): (0, 1)
(2, 0, 0, (1, 1, 1), -6): (0, 1)
(2, 0, 0, (1, 1, 1), -5): (2, 3)
(2, 0, 0, (1, 1, 1), -4): (1, 8)
(2, 0, 0, (1, 1, 1), -3): (9, 22)
(2, 0, 0, (1, 1, 1), -2): (24, 53)
(2, 0, 0, (1, 1, 1), -1): (64, 103)
(2, 0, 0, (1, 1, 1), 0): (213, 314)
(2, 0, 0, (1, 1, 1), 1): (111, 143)
(2, 0, 0, (1, 1, 1), 2): (68, 75)
(2, 0, 0, (1, 1, 1), 3): (31, 32)
(2, 0, 0, (1, 1, 1), 4): (18, 19)
(2, 0, 0, (1, 1, 1), 5): (8, 8)
(2, 0, 0, (1, 1, 1), 6): (4, 4)
(2, 0, 0, (1, 1, 1), 7): (1, 1)
(2, 0, 0, (1, 1, 1), 8): (1, 1)
(2, 0, 1, (0, 0, 0), -13): (0, 1)
(2, 0, 1, (0, 0, 0), -10): (0, 4)
(2, 0, 1, (0, 0, 0), -9): (0, 7)
(2, 0, 1, (0, 0, 0), -8): (0, 12)
(2, 0, 1, (0, 0, 0), -7): (0, 37)
(2, 0, 1, (0, 0, 0), -6): (6, 87)
(2, 0, 1, (0, 0, 0), -5): (16, 250)
(2, 0, 1, (0, 0, 0), -4): (49, 594)
(2, 0, 1, (0, 0, 0), -3): (222, 1338)
(2, 0, 1, (0, 0, 0), -2): (652, 2740)
(2, 0, 1, (0, 0, 0), -1): (1857, 5503)
(2, 0, 1, (0, 0, 0), 0): (9420, 21137)
(2, 0, 1, (0, 0, 0), 1): (3458, 6186)
(2, 0, 1, (0, 0, 0), 2): (1958, 2929)
(2, 0, 1, (0, 0, 0), 3): (1031, 1376)
(2, 0, 1, (0, 0, 0), 4): (482, 578)
(2, 0, 1, (0, 0, 0), 5): (204, 236)
(2, 0, 1, (0, 0, 0), 6): (75, 83)
(2, 0, 1, (0, 0, 0), 7): (38, 41)
(2, 0, 1, (0, 0, 0), 8): (15, 16)
(2, 0, 1, (0, 0, 0), 9): (17, 18)
(2, 0, 1, (0, 0, 0), 10): (3, 3)
(2, 0, 1, (0, 0, 0), 11): (1, 1)
(2, 0, 1, (0, 0, 1), -11): (0, 1)
(2, 0, 1, (0, 0, 1), -7): (0, 1)
(2, 0, 1, (0, 0, 1), -6): (0, 3)
(2, 0, 1, (0, 0, 1), -5): (0, 7)
(2, 0, 1, (0, 0, 1), -4): (1, 21)
(2, 0, 1, (0, 0, 1), -3): (5, 43)
(2, 0, 1, (0, 0, 1), -2): (26, 92)
(2, 0, 1, (0, 0, 1), -1): (84, 217)
(2, 0, 1, (0, 0, 1), 0): (434, 867)
(2, 0, 1, (0, 0, 1), 1): (324, 497)
(2, 0, 1, (0, 0, 1), 2): (183, 261)
(2, 0, 1, (0, 0, 1), 3): (121, 164)
(2, 0, 1, (0, 0, 1), 4): (68, 80)
(2, 0, 1, (0, 0, 1), 5): (36, 39)
(2, 0, 1, (0, 0, 1), 6): (10, 10)
(2, 0, 1, (0, 0, 1), 7): (2, 2)
(2, 0, 1, (0, 0, 1), 9): (2, 2)
(2, 0, 1, (0, 0, 1), 10): (1, 1)
(2, 0, 1, (0, 1, 0), -9): (0, 1)
(2, 0, 1, (0, 1, 0), -7): (0, 6)
(2, 0, 1, (0, 1, 0), -6): (1, 13)
(2, 0, 1, (0, 1, 0), -5): (6, 29)
(2, 0, 1, (0, 1, 0), -4): (7, 76)
(2, 0, 1, (0, 1, 0), -3): (38, 182)
(2, 0, 1, (0, 1, 0), -2): (112, 384)
(2, 0, 1, (0, 1, 0), -1): (265, 740)
(2, 0, 1, (0, 1, 0), 0): (1385, 2921)
(2, 0, 1, (0, 1, 0), 1): (768, 1282)
(2, 0, 1, (0, 1, 0), 2): (497, 710)
(2, 0, 1, (0, 1, 0), 3): (281, 369)
(2, 0, 1, (0, 1, 0), 4): (145, 179)
(2, 0, 1, (0, 1, 0), 5): (63, 68)
(2, 0, 1, (0, 1, 0), 6): (35, 36)
(2, 0, 1, (0, 1, 0), 7): (20, 21)
(2, 0, 1, (0, 1, 0), 8): (6, 6)
(2, 0, 1, (0, 1, 0), 11): (1, 1)
(2, 0, 1, (0, 1, 1), -8): (0, 1)
(2, 0, 1, (0, 1, 1), -6): (0, 1)
(2, 0, 1, (0, 1, 1), -5): (1, 4)
(2, 0, 1, (0, 1, 1), -4): (1, 19)
(2, 0, 1, (0, 1, 1), -3): (16, 45)
(2, 0, 1, (0, 1, 1), -2): (43, 110)
(2, 0, 1, (0, 1, 1), -1): (91, 209)
(2, 0, 1, (0, 1, 1), 0): (411, 720)
(2, 0, 1, (0, 1, 1), 1): (293, 458)
(2, 0, 1, (0, 1, 1), 2): (212, 285)
(2, 0, 1, (0, 1, 1), 3): (100, 129)
(2, 0, 1, (0, 1, 1), 4): (59, 69)
(2, 0, 1, (0, 1, 1), 5): (27, 33)
(2, 0, 1, (0, 1, 1), 6): (16, 17)
(2, 0, 1, (0, 1, 1), 7): (6, 6)
(2, 0, 1, (0, 1, 1), 8): (2, 3)
(2, 0, 1, (1, 0, 0), -13): (0, 1)
(2, 0, 1, (1, 0, 0), -10): (0, 1)
(2, 0, 1, (1, 0, 0), -9): (0, 1)
(2, 0, 1, (1, 0, 0), -8): (0, 5)
(2, 0, 1, (1, 0, 0), -7): (0, 14)
(2, 0, 1, (1, 0, 0), -6): (3, 42)
(2, 0, 1, (1, 0, 0), -5): (9, 106)
(2, 0, 1, (1, 0, 0), -4): (22, 253)
(2, 0, 1, (1, 0, 0), -3): (97, 574)
(2, 0, 1, (1, 0, 0), -2): (308, 1169)
(2, 0, 1, (1, 0, 0), -1): (796, 2216)
(2, 0, 1, (1, 0, 0), 0): (3904, 8425)
(2, 0, 1, (1, 0, 0), 1): (1577, 2615)
(2, 0, 1, (1, 0, 0), 2): (875, 1272)
(2, 0, 1, (1, 0, 0), 3): (447, 587)
(2, 0, 1, (1, 0, 0), 4): (265, 315)
(2, 0, 1, (1, 0, 0), 5): (110, 132)
(2, 0, 1, (1, 0, 0), 6): (53, 56)
(2, 0, 1, (1, 0, 0), 7): (18, 19)
(2, 0, 1, (1, 0, 0), 8): (8, 9)
(2, 0, 1, (1, 0, 0), 9): (8, 9)
(2, 0, 1, (1, 0, 1), -7): (0, 2)
(2, 0, 1, (1, 0, 1), -6): (1, 4)
(2, 0, 1, (1, 0, 1), -5): (1, 12)
(2, 0, 1, (1, 0, 1), -4): (7, 35)
(2, 0, 1, (1, 0, 1), -3): (15, 57)
(2, 0, 1, (1, 0, 1), -2): (45, 132)
(2, 0, 1, (1, 0, 1), -1): (137, 294)
(2, 0, 1, (1, 0, 1), 0): (565, 1053)
(2, 0, 1, (1, 0, 1), 1): (380, 586)
(2, 0, 1, (1, 0, 1), 2): (245, 331)
(2, 0, 1, (1, 0, 1), 3): (158, 188)
(2, 0, 1, (1, 0, 1), 4): (74, 91)
(2, 0, 1, (1, 0, 1), 5): (47, 51)
(2, 0, 1, (1, 0, 1), 6): (22, 22)
(2, 0, 1, (1, 0, 1), 7): (11, 11)
(2, 0, 1, (1, 0, 1), 8): (1, 1)
(2, 0, 1, (1, 0, 1), 9): (3, 3)
(2, 0, 1, (1, 0, 1), 10): (2, 2)
(2, 0, 1, (1, 1, 0), -9): (0, 2)
(2, 0, 1, (1, 1, 0), -8): (0, 2)
(2, 0, 1, (1, 1, 0), -7): (2, 6)
(2, 0, 1, (1, 1, 0), -6): (1, 10)
(2, 0, 1, (1, 1, 0), -5): (6, 28)
(2, 0, 1, (1, 1, 0), -4): (10, 71)
(2, 0, 1, (1, 1, 0), -3): (30, 169)
(2, 0, 1, (1, 1, 0), -2): (107, 360)
(2, 0, 1, (1, 1, 0), -1): (270, 684)
(2, 0, 1, (1, 1, 0), 0): (1243, 2462)
(2, 0, 1, (1, 1, 0), 1): (679, 1047)
(2, 0, 1, (1, 1, 0), 2): (383, 529)
(2, 0, 1, (1, 1, 0), 3): (217, 282)
(2, 0, 1, (1, 1, 0), 4): (124, 151)
(2, 0, 1, (1, 1, 0), 5): (72, 79)
(2, 0, 1, (1, 1, 0), 6): (33, 36)
(2, 0, 1, (1, 1, 0), 7): (15, 17)
(2, 0, 1, (1, 1, 0), 8): (7, 7)
(2, 0, 1, (1, 1, 0), 9): (2, 2)
(2, 0, 1, (1, 1, 0), 11): (1, 1)
(2, 0, 1, (1, 1, 1), -9): (0, 1)
(2, 0, 1, (1, 1, 1), -8): (0, 3)
(2, 0, 1, (1, 1, 1), -7): (1, 4)
(2, 0, 1, (1, 1, 1), -6): (0, 4)
(2, 0, 1, (1, 1, 1), -5): (3, 7)
(2, 0, 1, (1, 1, 1), -4): (1, 17)
(2, 0, 1, (1, 1, 1), -3): (11, 41)
(2, 0, 1, (1, 1, 1), -2): (32, 80)
(2, 0, 1, (1, 1, 1), -1): (73, 147)
(2, 0, 1, (1, 1, 1), 0): (344, 603)
(2, 0, 1, (1, 1, 1), 1): (235, 345)
(2, 0, 1, (1, 1, 1), 2): (153, 199)
(2, 0, 1, (1, 1, 1), 3): (99, 120)
(2, 0, 1, (1, 1, 1), 4): (56, 67)
(2, 0, 1, (1, 1, 1), 5): (32, 39)
(2, 0, 1, (1, 1, 1), 6): (16, 20)
(2, 0, 1, (1, 1, 1), 7): (6, 6)
(2, 0, 1, (1, 1, 1), 8): (4, 5)
(2, 0, 1, (1, 1, 1), 11): (1, 1)
(2, 0, 2, (0, 0, 0), -13): (0, 1)
(2, 0, 2, (0, 0, 0), -10): (0, 5)
(2, 0, 2, (0, 0, 0), -9): (0, 7)
(2, 0, 2, (0, 0, 0), -8): (0, 11)
(2, 0, 2, (0, 0, 0), -7): (0, 30)
(2, 0, 2, (0, 0, 0), -6): (2, 62)
(2, 0, 2, (0, 0, 0), -5): (12, 193)
(2, 0, 2, (0, 0, 0), -4): (35, 451)
(2, 0, 2, (0, 0, 0), -3): (156, 992)
(2, 0, 2, (0, 0, 0), -2): (449, 2053)
(2, 0, 2, (0, 0, 0), -1): (1374, 4249)
(2, 0, 2, (0, 0, 0), 0): (6871, 16014)
(2, 0, 2, (0, 0, 0), 1): (2945, 5396)
(2, 0, 2, (0, 0, 0), 2): (1763, 2638)
(2, 0, 2, (0, 0, 0), 3): (966, 1289)
(2, 0, 2, (0, 0, 0), 4): (463, 562)
(2, 0, 2, (0, 0, 0), 5): (226, 271)
(2, 0, 2, (0, 0, 0), 6): (129, 143)
(2, 0, 2, (0, 0, 0), 7): (69, 73)
(2, 0, 2, (0, 0, 0), 8): (26, 28)
(2, 0, 2, (0, 0, 0), 9): (16, 16)
(2, 0, 2, (0, 0, 0), 10): (7, 7)
(2, 0, 2, (0, 0, 0), 11): (3, 3)
(2, 0, 2, (0, 0, 1), -9): (0, 1)
(2, 0, 2, (0, 0, 1), -8): (0, 2)
(2, 0, 2, (0, 0, 1), -7): (0, 3)
(2, 0, 2, (0, 0, 1), -6): (0, 2)
(2, 0, 2, (0, 0, 1), -5): (1, 14)
(2, 0, 2, (0, 0, 1), -4): (4, 40)
(2, 0, 2, (0, 0, 1), -3): (12, 69)
(2, 0, 2, (0, 0, 1), -2): (46, 180)
(2, 0, 2, (0, 0, 1), -1): (125, 346)
(2, 0, 2, (0, 0, 1), 0): (560, 1273)
(2, 0, 2, (0, 0, 1), 1): (438, 776)
(2, 0, 2, (0, 0, 1), 2): (340, 494)
(2, 0, 2, (0, 0, 1), 3): (191, 274)
(2, 0, 2, (0, 0, 1), 4): (104, 128)
(2, 0, 2, (0, 0, 1), 5): (64, 73)
(2, 0, 2, (0, 0, 1), 6): (33, 33)
(2, 0, 2, (0, 0, 1), 7): (16, 16)
(2, 0, 2, (0, 0, 1), 8): (6, 6)
(2, 0, 2, (0, 0, 1), 9): (4, 4)
(2, 0, 2, (0, 0, 1), 10): (2, 2)
(2, 0, 2, (0, 1, 0), -10): (0, 2)
(2, 0, 2, (0, 1, 0), -7): (0, 5)
(2, 0, 2, (0, 1, 0), -6): (0, 12)
(2, 0, 2, (0, 1, 0), -5): (3, 32)
(2, 0, 2, (0, 1, 0), -4): (8, 109)
(2, 0, 2, (0, 1, 0), -3): (36, 215)
(2, 0, 2, (0, 1, 0), -2): (119, 452)
(2, 0, 2, (0, 1, 0), -1): (302, 911)
(2, 0, 2, (0, 1, 0), 0): (1573, 3510)
(2, 0, 2, (0, 1, 0), 1): (1135, 1934)
(2, 0, 2, (0, 1, 0), 2): (765, 1136)
(2, 0, 2, (0, 1, 0), 3): (489, 643)
(2, 0, 2, (0, 1, 0), 4): (295, 354)
(2, 0, 2, (0, 1, 0), 5): (128, 146)
(2, 0, 2, (0, 1, 0), 6): (76, 82)
(2, 0, 2, (0, 1, 0), 7): (39, 40)
(2, 0, 2, (0, 1, 0), 8): (11, 11)
(2, 0, 2, (0, 1, 0), 9): (5, 5)
(2, 0, 2, (0, 1, 0), 10): (3, 3)
(2, 0, 2, (0, 1, 0), 11): (2, 2)
(2, 0, 2, (0, 1, 0), 12): (1, 1)
(2, 0, 2, (0, 1, 1), -10): (0, 1)
(2, 0, 2, (0, 1, 1), -8): (0, 1)
(2, 0, 2, (0, 1, 1), -7): (0, 1)
(2, 0, 2, (0, 1, 1), -6): (0, 4)
(2, 0, 2, (0, 1, 1), -5): (2, 10)
(2, 0, 2, (0, 1, 1), -4): (3, 23)
(2, 0, 2, (0, 1, 1), -3): (13, 42)
(2, 0, 2, (0, 1, 1), -2): (40, 121)
(2, 0, 2, (0, 1, 1), -1): (100, 244)
(2, 0, 2, (0, 1, 1), 0): (377, 775)
(2, 0, 2, (0, 1, 1), 1): (337, 589)
(2, 0, 2, (0, 1, 1), 2): (275, 367)
(2, 0, 2, (0, 1, 1), 3): (141, 183)
(2, 0, 2, (0, 1, 1), 4): (71, 87)
(2, 0, 2, (0, 1, 1), 5): (27, 36)
(2, 0, 2, (0, 1, 1), 6): (19, 20)
(2, 0, 2, (0, 1, 1), 7): (8, 8)
(2, 0, 2, (0, 1, 1), 8): (5, 5)
(2, 0, 2, (0, 1, 1), 9): (1, 1)
(2, 0, 2, (0, 1, 1), 10): (2, 2)
(2, 0, 2, (1, 0, 0), -13): (0, 2)
(2, 0, 2, (1, 0, 0), -10): (0, 4)
(2, 0, 2, (1, 0, 0), -9): (0, 1)
(2, 0, 2, (1, 0, 0), -8): (0, 4)
(2, 0, 2, (1, 0, 0), -7): (0, 13)
(2, 0, 2, (1, 0, 0), -6): (2, 38)
(2, 0, 2, (1, 0, 0), -5): (8, 99)
(2, 0, 2, (1, 0, 0), -4): (19, 212)
(2, 0, 2, (1, 0, 0), -3): (93, 561)
(2, 0, 2, (1, 0, 0), -2): (270, 1067)
(2, 0, 2, (1, 0, 0), -1): (697, 2092)
(2, 0, 2, (1, 0, 0), 0): (3353, 7502)
(2, 0, 2, (1, 0, 0), 1): (1689, 2949)
(2, 0, 2, (1, 0, 0), 2): (995, 1526)
(2, 0, 2, (1, 0, 0), 3): (629, 837)
(2, 0, 2, (1, 0, 0), 4): (379, 460)
(2, 0, 2, (1, 0, 0), 5): (183, 214)
(2, 0, 2, (1, 0, 0), 6): (101, 108)
(2, 0, 2, (1, 0, 0), 7): (48, 51)
(2, 0, 2, (1, 0, 0), 8): (20, 20)
(2, 0, 2, (1, 0, 0), 9): (9, 10)
(2, 0, 2, (1, 0, 0), 10): (5, 5)
(2, 0, 2, (1, 0, 0), 11): (2, 2)
(2, 0, 2, (1, 0, 0), 12): (1, 1)
(2, 0, 2, (1, 0, 1), -9): (0, 1)
(2, 0, 2, (1, 0, 1), -7): (0, 1)
(2, 0, 2, (1, 0, 1), -6): (1, 4)
(2, 0, 2, (1, 0, 1), -5): (1, 19)
(2, 0, 2, (1, 0, 1), -4): (3, 28)
(2, 0, 2, (1, 0, 1), -3): (11, 70)
(2, 0, 2, (1, 0, 1), -2): (46, 173)
(2, 0, 2, (1, 0, 1), -1): (144, 355)
(2, 0, 2, (1, 0, 1), 0): (551, 1131)
(2, 0, 2, (1, 0, 1), 1): (486, 774)
(2, 0, 2, (1, 0, 1), 2): (337, 467)
(2, 0, 2, (1, 0, 1), 3): (211, 273)
(2, 0, 2, (1, 0, 1), 4): (110, 142)
(2, 0, 2, (1, 0, 1), 5): (62, 79)
(2, 0, 2, (1, 0, 1), 6): (26, 27)
(2, 0, 2, (1, 0, 1), 7): (23, 24)
(2, 0, 2, (1, 0, 1), 8): (6, 6)
(2, 0, 2, (1, 0, 1), 9): (9, 9)
(2, 0, 2, (1, 0, 1), 10): (2, 2)
(2, 0, 2, (1, 1, 0), -13): (0, 1)
(2, 0, 2, (1, 1, 0), -10): (0, 1)
(2, 0, 2, (1, 1, 0), -8): (0, 2)
(2, 0, 2, (1, 1, 0), -7): (0, 6)
(2, 0, 2, (1, 1, 0), -6): (1, 11)
(2, 0, 2, (1, 1, 0), -5): (6, 42)
(2, 0, 2, (1, 1, 0), -4): (10, 89)
(2, 0, 2, (1, 1, 0), -3): (31, 201)
(2, 0, 2, (1, 1, 0), -2): (112, 411)
(2, 0, 2, (1, 1, 0), -1): (265, 751)
(2, 0, 2, (1, 1, 0), 0): (1317, 2766)
(2, 0, 2, (1, 1, 0), 1): (813, 1363)
(2, 0, 2, (1, 1, 0), 2): (505, 732)
(2, 0, 2, (1, 1, 0), 3): (344, 452)
(2, 0, 2, (1, 1, 0), 4): (227, 273)
(2, 0, 2, (1, 1, 0), 5): (105, 117)
(2, 0, 2, (1, 1, 0), 6): (73, 76)
(2, 0, 2, (1, 1, 0), 7): (29, 32)
(2, 0, 2, (1, 1, 0), 8): (17, 17)
(2, 0, 2, (1, 1, 0), 9): (4, 4)
(2, 0, 2, (1, 1, 0), 10): (3, 3)
(2, 0, 2, (1, 1, 0), 11): (2, 2)
(2, 0, 2, (1, 1, 1), -8): (0, 1)
(2, 0, 2, (1, 1, 1), -7): (0, 1)
(2, 0, 2, (1, 1, 1), -6): (1, 3)
(2, 0, 2, (1, 1, 1), -5): (3, 13)
(2, 0, 2, (1, 1, 1), -4): (2, 22)
(2, 0, 2, (1, 1, 1), -3): (10, 50)
(2, 0, 2, (1, 1, 1), -2): (44, 113)
(2, 0, 2, (1, 1, 1), -1): (86, 222)
(2, 0, 2, (1, 1, 1), 0): (396, 774)
(2, 0, 2, (1, 1, 1), 1): (281, 427)
(2, 0, 2, (1, 1, 1), 2): (201, 260)
(2, 0, 2, (1, 1, 1), 3): (110, 146)
(2, 0, 2, (1, 1, 1), 4): (79, 90)
(2, 0, 2, (1, 1, 1), 5): (41, 47)
(2, 0, 2, (1, 1, 1), 6): (30, 31)
(2, 0, 2, (1, 1, 1), 7): (10, 11)
(2, 0, 2, (1, 1, 1), 8): (4, 5)
(2, 0, 2, (1, 1, 1), 9): (2, 2)
(2, 1, 0, (0, 0, 0), -12): (0, 2)
(2, 1, 0, (0, 0, 0), -11): (0, 5)
(2, 1, 0, (0, 0, 0), -10): (0, 16)
(2, 1, 0, (0, 0, 0), -9): (1, 37)
(2, 1, 0, (0, 0, 0), -8): (4, 70)
(2, 1, 0, (0, 0, 0), -7): (9, 164)
(2, 1, 0, (0, 0, 0), -6): (28, 379)
(2, 1, 0, (0, 0, 0), -5): (114, 636)
(2, 1, 0, (0, 0, 0), -4): (269, 1383)
(2, 1, 0, (0, 0, 0), -3): (734, 2792)
(2, 1, 0, (0, 0, 0), -2): (1844, 5455)
(2, 1, 0, (0, 0, 0), -1): (4842, 10678)
(2, 1, 0, (0, 0, 0), 0): (14508, 24976)
(2, 1, 0, (0, 0, 0), 1): (5224, 7575)
(2, 1, 0, (0, 0, 0), 2): (2885, 3697)
(2, 1, 0, (0, 0, 0), 3): (1519, 1792)
(2, 1, 0, (0, 0, 0), 4): (726, 780)
(2, 1, 0, (0, 0, 0), 5): (311, 333)
(2, 1, 0, (0, 0, 0), 6): (114, 118)
(2, 1, 0, (0, 0, 0), 7): (60, 63)
(2, 1, 0, (0, 0, 0), 8): (28, 28)
(2, 1, 0, (0, 0, 0), 9): (13, 13)
(2, 1, 0, (0, 0, 0), 10): (5, 5)
(2, 1, 0, (0, 0, 0), 11): (1, 1)
(2, 1, 0, (0, 0, 0), 13): (2, 2)
(2, 1, 0, (0, 0, 1), -8): (0, 1)
(2, 1, 0, (0, 0, 1), -7): (0, 1)
(2, 1, 0, (0, 0, 1), -6): (0, 3)
(2, 1, 0, (0, 0, 1), -5): (2, 5)
(2, 1, 0, (0, 0, 1), -4): (3, 12)
(2, 1, 0, (0, 0, 1), -3): (11, 25)
(2, 1, 0, (0, 0, 1), -2): (20, 60)
(2, 1, 0, (0, 0, 1), -1): (47, 103)
(2, 1, 0, (0, 0, 1), 0): (161, 246)
(2, 1, 0, (0, 0, 1), 1): (111, 140)
(2, 1, 0, (0, 0, 1), 2): (75, 86)
(2, 1, 0, (0, 0, 1), 3): (36, 39)
(2, 1, 0, (0, 0, 1), 4): (22, 22)
(2, 1, 0, (0, 0, 1), 5): (9, 9)
(2, 1, 0, (0, 0, 1), 6): (7, 7)
(2, 1, 0, (0, 0, 1), 7): (1, 1)
(2, 1, 0, (0, 0, 1), 8): (4, 4)
(2, 1, 0, (0, 0, 1), 11): (1, 1)
(2, 1, 0, (0, 0, 1), 12): (1, 1)
(2, 1, 0, (0, 1, 0), -10): (0, 1)
(2, 1, 0, (0, 1, 0), -9): (1, 3)
(2, 1, 0, (0, 1, 0), -8): (0, 6)
(2, 1, 0, (0, 1, 0), -7): (2, 9)
(2, 1, 0, (0, 1, 0), -6): (3, 22)
(2, 1, 0, (0, 1, 0), -5): (5, 39)
(2, 1, 0, (0, 1, 0), -4): (27, 96)
(2, 1, 0, (0, 1, 0), -3): (62, 175)
(2, 1, 0, (0, 1, 0), -2): (152, 361)
(2, 1, 0, (0, 1, 0), -1): (385, 737)
(2, 1, 0, (0, 1, 0), 0): (1172, 1827)
(2, 1, 0, (0, 1, 0), 1): (509, 674)
(2, 1, 0, (0, 1, 0), 2): (304, 373)
(2, 1, 0, (0, 1, 0), 3): (156, 179)
(2, 1, 0, (0, 1, 0), 4): (75, 79)
(2, 1, 0, (0, 1, 0), 5): (38, 38)
(2, 1, 0, (0, 1, 0), 6): (17, 18)
(2, 1, 0, (0, 1, 0), 7): (6, 6)
(2, 1, 0, (0, 1, 0), 8): (4, 4)
(2, 1, 0, (0, 1, 0), 9): (1, 1)
(2, 1, 0, (0, 1, 0), 10): (3, 3)
(2, 1, 0, (0, 1, 0), 11): (1, 1)
(2, 1, 0, (0, 1, 0), 13): (1, 1)
(2, 1, 0, (0, 1, 1), -11): (0, 1)
(2, 1, 0, (0, 1, 1), -8): (0, 2)
(2, 1, 0, (0, 1, 1), -7): (1, 4)
(2, 1, 0, (0, 1, 1), -6): (1, 4)
(2, 1, 0, (0, 1, 1), -5): (0, 7)
(2, 1, 0, (0, 1, 1), -4): (8, 21)
(2, 1, 0, (0, 1, 1), -3): (12, 34)
(2, 1, 0, (0, 1, 1), -2): (41, 81)
(2, 1, 0, (0, 1, 1), -1): (99, 143)
(2, 1, 0, (0, 1, 1), 0): (222, 311)
(2, 1, 0, (0, 1, 1), 1): (115, 159)
(2, 1, 0, (0, 1, 1), 2): (70, 84)
(2, 1, 0, (0, 1, 1), 3): (40, 40)
(2, 1, 0, (0, 1, 1), 4): (14, 15)
(2, 1, 0, (0, 1, 1), 5): (7, 8)
(2, 1, 0, (0, 1, 1), 6): (5, 6)
(2, 1, 0, (0, 1, 1), 7): (5, 5)
(2, 1, 0, (0, 1, 1), 8): (1, 1)
(2, 1, 0, (0, 1, 1), 9): (3, 3)
(2, 1, 0, (0, 1, 1), 10): (1, 1)
(2, 1, 0, (1, 0, 0), -12): (0, 1)
(2, 1, 0, (1, 0, 0), -11): (0, 2)
(2, 1, 0, (1, 0, 0), -10): (0, 6)
(2, 1, 0, (1, 0, 0), -9): (0, 9)
(2, 1, 0, (1, 0, 0), -8): (1, 13)
(2, 1, 0, (1, 0, 0), -7): (2, 44)
(2, 1, 0, (1, 0, 0), -6): (9, 109)
(2, 1, 0, (1, 0, 0), -5): (37, 161)
(2, 1, 0, (1, 0, 0), -4): (90, 350)
(2, 1, 0, (1, 0, 0), -3): (212, 698)
(2, 1, 0, (1, 0, 0), -2): (542, 1466)
(2, 1, 0, (1, 0, 0), -1): (1274, 2711)
(2, 1, 0, (1, 0, 0), 0): (4001, 6466)
(2, 1, 0, (1, 0, 0), 1): (1379, 1990)
(2, 1, 0, (1, 0, 0), 2): (801, 997)
(2, 1, 0, (1, 0, 0), 3): (394, 459)
(2, 1, 0, (1, 0, 0), 4): (191, 201)
(2, 1, 0, (1, 0, 0), 5): (85, 94)
(2, 1, 0, (1, 0, 0), 6): (34, 35)
(2, 1, 0, (1, 0, 0), 7): (21, 21)
(2, 1, 0, (1, 0, 0), 8): (9, 9)
(2, 1, 0, (1, 0, 0), 9): (6, 6)
(2, 1, 0, (1, 0, 0), 10): (1, 1)
(2, 1, 0, (1, 0, 0), 11): (2, 2)
(2, 1, 0, (1, 0, 0), 13): (1, 1)
(2, 1, 0, (1, 0, 1), -10): (0, 1)
(2, 1, 0, (1, 0, 1), -8): (0, 1)
(2, 1, 0, (1, 0, 1), -7): (1, 1)
(2, 1, 0, (1, 0, 1), -6): (1, 9)
(2, 1, 0, (1, 0, 1), -5): (2, 14)
(2, 1, 0, (1, 0, 1), -4): (6, 25)
(2, 1, 0, (1, 0, 1), -3): (23, 55)
(2, 1, 0, (1, 0, 1), -2): (51, 118)
(2, 1, 0, (1, 0, 1), -1): (127, 221)
(2, 1, 0, (1, 0, 1), 0): (370, 541)
(2, 1, 0, (1, 0, 1), 1): (205, 262)
(2, 1, 0, (1, 0, 1), 2): (106, 121)
(2, 1, 0, (1, 0, 1), 3): (56, 60)
(2, 1, 0, (1, 0, 1), 4): (30, 30)
(2, 1, 0, (1, 0, 1), 5): (20, 22)
(2, 1, 0, (1, 0, 1), 6): (10, 11)
(2, 1, 0, (1, 0, 1), 7): (5, 5)
(2, 1, 0, (1, 0, 1), 8): (4, 4)
(2, 1, 0, (1, 0, 1), 11): (1, 1)
(2, 1, 0, (1, 1, 0), -10): (0, 1)
(2, 1, 0, (1, 1, 0), -8): (0, 5)
(2, 1, 0, (1, 1, 0), -7): (1, 13)
(2, 1, 0, (1, 1, 0), -6): (3, 24)
(2, 1, 0, (1, 1, 0), -5): (14, 46)
(2, 1, 0, (1, 1, 0), -4): (25, 84)
(2, 1, 0, (1, 1, 0), -3): (60, 173)
(2, 1, 0, (1, 1, 0), -2): (143, 360)
(2, 1, 0, (1, 1, 0), -1): (337, 611)
(2, 1, 0, (1, 1, 0), 0): (921, 1394)
(2, 1, 0, (1, 1, 0), 1): (372, 505)
(2, 1, 0, (1, 1, 0), 2): (219, 262)
(2, 1, 0, (1, 1, 0), 3): (102, 114)
(2, 1, 0, (1, 1, 0), 4): (56, 57)
(2, 1, 0, (1, 1, 0), 5): (17, 18)
(2, 1, 0, (1, 1, 0), 6): (13, 13)
(2, 1, 0, (1, 1, 0), 7): (12, 12)
(2, 1, 0, (1, 1, 0), 8): (3, 3)
(2, 1, 0, (1, 1, 0), 9): (3, 3)
(2, 1, 0, (1, 1, 0), 10): (2, 2)
(2, 1, 0, (1, 1, 0), 11): (1, 1)
(2, 1, 0, (1, 1, 1), -7): (2, 7)
(2, 1, 0, (1, 1, 1), -6): (3, 7)
(2, 1, 0, (1, 1, 1), -5): (6, 9)
(2, 1, 0, (1, 1, 1), -4): (6, 17)
(2, 1, 0, (1, 1, 1), -3): (15, 37)
(2, 1, 0, (1, 1, 1), -2): (40, 72)
(2, 1, 0, (1, 1, 1), -1): (88, 137)
(2, 1, 0, (1, 1, 1), 0): (230, 308)
(2, 1, 0, (1, 1, 1), 1): (113, 141)
(2, 1, 0, (1, 1, 1), 2): (65, 79)
(2, 1, 0, (1, 1, 1), 3): (40, 43)
(2, 1, 0, (1, 1, 1), 4): (19, 19)
(2, 1, 0, (1, 1, 1), 5): (11, 12)
(2, 1, 0, (1, 1, 1), 6): (2, 2)
(2, 1, 0, (1, 1, 1), 7): (1, 1)
(2, 1, 0, (1, 1, 1), 8): (2, 2)
(2, 1, 1, (0, 0, 0), -12): (0, 1)
(2, 1, 1, (0, 0, 0), -11): (0, 3)
(2, 1, 1, (0, 0, 0), -10): (0, 8)
(2, 1, 1, (0, 0, 0), -9): (0, 24)
(2, 1, 1, (0, 0, 0), -8): (3, 51)
(2, 1, 1, (0, 0, 0), -7): (3, 98)
(2, 1, 1, (0, 0, 0), -6): (15, 244)
(2, 1, 1, (0, 0, 0), -5): (62, 433)
(2, 1, 1, (0, 0, 0), -4): (147, 928)
(2, 1, 1, (0, 0, 0), -3): (457, 1896)
(2, 1, 1, (0, 0, 0), -2): (1103, 3592)
(2, 1, 1, (0, 0, 0), -1): (3129, 7261)
(2, 1, 1, (0, 0, 0), 0): (9378, 16876)
(2, 1, 1, (0, 0, 0), 1): (3925, 5802)
(2, 1, 1, (0, 0, 0), 2): (2187, 2847)
(2, 1, 1, (0, 0, 0), 3): (1202, 1439)
(2, 1, 1, (0, 0, 0), 4): (584, 638)
(2, 1, 1, (0, 0, 0), 5): (259, 277)
(2, 1, 1, (0, 0, 0), 6): (117, 120)
(2, 1, 1, (0, 0, 0), 7): (56, 60)
(2, 1, 1, (0, 0, 0), 8): (29, 29)
(2, 1, 1, (0, 0, 0), 9): (11, 11)
(2, 1, 1, (0, 0, 0), 10): (10, 10)
(2, 1, 1, (0, 0, 0), 11): (2, 2)
(2, 1, 1, (0, 0, 1), -9): (0, 1)
(2, 1, 1, (0, 0, 1), -7): (0, 4)
(2, 1, 1, (0, 0, 1), -6): (1, 10)
(2, 1, 1, (0, 0, 1), -5): (3, 18)
(2, 1, 1, (0, 0, 1), -4): (14, 45)
(2, 1, 1, (0, 0, 1), -3): (26, 81)
(2, 1, 1, (0, 0, 1), -2): (69, 185)
(2, 1, 1, (0, 0, 1), -1): (177, 367)
(2, 1, 1, (0, 0, 1), 0): (545, 862)
(2, 1, 1, (0, 0, 1), 1): (382, 510)
(2, 1, 1, (0, 0, 1), 2): (255, 304)
(2, 1, 1, (0, 0, 1), 3): (148, 170)
(2, 1, 1, (0, 0, 1), 4): (77, 83)
(2, 1, 1, (0, 0, 1), 5): (48, 49)
(2, 1, 1, (0, 0, 1), 6): (12, 12)
(2, 1, 1, (0, 0, 1), 7): (14, 15)
(2, 1, 1, (0, 0, 1), 8): (2, 2)
(2, 1, 1, (0, 0, 1), 9): (1, 1)
(2, 1, 1, (0, 0, 1), 10): (1, 1)
(2, 1, 1, (0, 0, 1), 11): (1, 1)
(2, 1, 1, (0, 0, 1), 12): (1, 1)
(2, 1, 1, (0, 1, 0), -10): (0, 1)
(2, 1, 1, (0, 1, 0), -9): (1, 2)
(2, 1, 1, (0, 1, 0), -8): (1, 11)
(2, 1, 1, (0, 1, 0), -7): (1, 12)
(2, 1, 1, (0, 1, 0), -6): (3, 34)
(2, 1, 1, (0, 1, 0), -5): (8, 51)
(2, 1, 1, (0, 1, 0), -4): (35, 125)
(2, 1, 1, (0, 1, 0), -3): (86, 254)
(2, 1, 1, (0, 1, 0), -2): (196, 540)
(2, 1, 1, (0, 1, 0), -1): (517, 1090)
(2, 1, 1, (0, 1, 0), 0): (1614, 2666)
(2, 1, 1, (0, 1, 0), 1): (929, 1307)
(2, 1, 1, (0, 1, 0), 2): (619, 760)
(2, 1, 1, (0, 1, 0), 3): (377, 426)
(2, 1, 1, (0, 1, 0), 4): (195, 212)
(2, 1, 1, (0, 1, 0), 5): (80, 87)
(2, 1, 1, (0, 1, 0), 6): (47, 47)
(2, 1, 1, (0, 1, 0), 7): (14, 14)
(2, 1, 1, (0, 1, 0), 8): (8, 8)
(2, 1, 1, (0, 1, 0), 9): (2, 2)
(2, 1, 1, (0, 1, 0), 10): (2, 2)
(2, 1, 1, (0, 1, 0), 13): (1, 1)
(2, 1, 1, (0, 1, 1), -11): (0, 1)
(2, 1, 1, (0, 1, 1), -9): (0, 1)
(2, 1, 1, (0, 1, 1), -8): (0, 1)
(2, 1, 1, (0, 1, 1), -7): (0, 3)
(2, 1, 1, (0, 1, 1), -6): (3, 8)
(2, 1, 1, (0, 1, 1), -5): (1, 10)
(2, 1, 1, (0, 1, 1), -4): (12, 29)
(2, 1, 1, (0, 1, 1), -3): (27, 70)
(2, 1, 1, (0, 1, 1), -2): (56, 160)
(2, 1, 1, (0, 1, 1), -1): (178, 308)
(2, 1, 1, (0, 1, 1), 0): (465, 689)
(2, 1, 1, (0, 1, 1), 1): (325, 448)
(2, 1, 1, (0, 1, 1), 2): (270, 314)
(2, 1, 1, (0, 1, 1), 3): (131, 147)
(2, 1, 1, (0, 1, 1), 4): (65, 67)
(2, 1, 1, (0, 1, 1), 5): (28, 29)
(2, 1, 1, (0, 1, 1), 6): (16, 17)
(2, 1, 1, (0, 1, 1), 7): (9, 9)
(2, 1, 1, (0, 1, 1), 8): (2, 2)
(2, 1, 1, (0, 1, 1), 9): (1, 1)
(2, 1, 1, (0, 1, 1), 10): (2, 2)
(2, 1, 1, (1, 0, 0), -12): (0, 1)
(2, 1, 1, (1, 0, 0), -11): (0, 3)
(2, 1, 1, (1, 0, 0), -10): (0, 6)
(2, 1, 1, (1, 0, 0), -9): (0, 13)
(2, 1, 1, (1, 0, 0), -8): (1, 16)
(2, 1, 1, (1, 0, 0), -7): (2, 48)
(2, 1, 1, (1, 0, 0), -6): (15, 116)
(2, 1, 1, (1, 0, 0), -5): (29, 169)
(2, 1, 1, (1, 0, 0), -4): (77, 405)
(2, 1, 1, (1, 0, 0), -3): (215, 792)
(2, 1, 1, (1, 0, 0), -2): (533, 1528)
(2, 1, 1, (1, 0, 0), -1): (1347, 2943)
(2, 1, 1, (1, 0, 0), 0): (4002, 6833)
(2, 1, 1, (1, 0, 0), 1): (1782, 2560)
(2, 1, 1, (1, 0, 0), 2): (1025, 1296)
(2, 1, 1, (1, 0, 0), 3): (530, 628)
(2, 1, 1, (1, 0, 0), 4): (287, 315)
(2, 1, 1, (1, 0, 0), 5): (130, 143)
(2, 1, 1, (1, 0, 0), 6): (79, 80)
(2, 1, 1, (1, 0, 0), 7): (32, 33)
(2, 1, 1, (1, 0, 0), 8): (17, 18)
(2, 1, 1, (1, 0, 0), 9): (6, 6)
(2, 1, 1, (1, 0, 0), 10): (3, 3)
(2, 1, 1, (1, 0, 0), 11): (2, 2)
(2, 1, 1, (1, 0, 0), 12): (1, 1)
(2, 1, 1, (1, 0, 0), 13): (2, 2)
(2, 1, 1, (1, 0, 1), -10): (0, 3)
(2, 1, 1, (1, 0, 1), -8): (0, 3)
(2, 1, 1, (1, 0, 1), -7): (2, 7)
(2, 1, 1, (1, 0, 1), -6): (0, 9)
(2, 1, 1, (1, 0, 1), -5): (3, 19)
(2, 1, 1, (1, 0, 1), -4): (18, 55)
(2, 1, 1, (1, 0, 1), -3): (32, 101)
(2, 1, 1, (1, 0, 1), -2): (88, 207)
(2, 1, 1, (1, 0, 1), -1): (220, 418)
(2, 1, 1, (1, 0, 1), 0): (602, 926)
(2, 1, 1, (1, 0, 1), 1): (436, 559)
(2, 1, 1, (1, 0, 1), 2): (269, 318)
(2, 1, 1, (1, 0, 1), 3): (140, 157)
(2, 1, 1, (1, 0, 1), 4): (101, 110)
(2, 1, 1, (1, 0, 1), 5): (49, 51)
(2, 1, 1, (1, 0, 1), 6): (15, 16)
(2, 1, 1, (1, 0, 1), 7): (13, 13)
(2, 1, 1, (1, 0, 1), 8): (7, 8)
(2, 1, 1, (1, 0, 1), 9): (1, 1)
(2, 1, 1, (1, 0, 1), 10): (1, 1)
(2, 1, 1, (1, 0, 1), 11): (2, 2)
(2, 1, 1, (1, 1, 0), -11): (0, 1)
(2, 1, 1, (1, 1, 0), -10): (0, 2)
(2, 1, 1, (1, 1, 0), -9): (0, 2)
(2, 1, 1, (1, 1, 0), -8): (0, 3)
(2, 1, 1, (1, 1, 0), -7): (1, 16)
(2, 1, 1, (1, 1, 0), -6): (4, 37)
(2, 1, 1, (1, 1, 0), -5): (11, 72)
(2, 1, 1, (1, 1, 0), -4): (26, 135)
(2, 1, 1, (1, 1, 0), -3): (95, 268)
(2, 1, 1, (1, 1, 0), -2): (196, 520)
(2, 1, 1, (1, 1, 0), -1): (445, 883)
(2, 1, 1, (1, 1, 0), 0): (1275, 2097)
(2, 1, 1, (1, 1, 0), 1): (732, 978)
(2, 1, 1, (1, 1, 0), 2): (394, 486)
(2, 1, 1, (1, 1, 0), 3): (237, 279)
(2, 1, 1, (1, 1, 0), 4): (135, 146)
(2, 1, 1, (1, 1, 0), 5): (70, 74)
(2, 1, 1, (1, 1, 0), 6): (35, 36)
(2, 1, 1, (1, 1, 0), 7): (28, 29)
(2, 1, 1, (1, 1, 0), 8): (8, 8)
(2, 1, 1, (1, 1, 0), 9): (5, 6)
(2, 1, 1, (1, 1, 0), 10): (1, 1)
(2, 1, 1, (1, 1, 0), 11): (2, 2)
(2, 1, 1, (1, 1, 0), 12): (2, 2)
(2, 1, 1, (1, 1, 0), 13): (1, 1)
(2, 1, 1, (1, 1, 1), -10): (0, 1)
(2, 1, 1, (1, 1, 1), -9): (0, 1)
(2, 1, 1, (1, 1, 1), -8): (0, 1)
(2, 1, 1, (1, 1, 1), -7): (1, 3)
(2, 1, 1, (1, 1, 1), -6): (0, 6)
(2, 1, 1, (1, 1, 1), -5): (6, 16)
(2, 1, 1, (1, 1, 1), -4): (7, 27)
(2, 1, 1, (1, 1, 1), -3): (32, 77)
(2, 1, 1, (1, 1, 1), -2): (57, 129)
(2, 1, 1, (1, 1, 1), -1): (137, 245)
(2, 1, 1, (1, 1, 1), 0): (402, 571)
(2, 1, 1, (1, 1, 1), 1): (269, 337)
(2, 1, 1, (1, 1, 1), 2): (166, 200)
(2, 1, 1, (1, 1, 1), 3): (116, 128)
(2, 1, 1, (1, 1, 1), 4): (74, 75)
(2, 1, 1, (1, 1, 1), 5): (42, 43)
(2, 1, 1, (1, 1, 1), 6): (14, 15)
(2, 1, 1, (1, 1, 1), 7): (10, 12)
(2, 1, 1, (1, 1, 1), 8): (4, 6)
(2, 1, 1, (1, 1, 1), 9): (1, 1)
(2, 1, 2, (0, 0, 0), -12): (0, 1)
(2, 1, 2, (0, 0, 0), -11): (0, 1)
(2, 1, 2, (0, 0, 0), -10): (0, 5)
(2, 1, 2, (0, 0, 0), -9): (0, 18)
(2, 1, 2, (0, 0, 0), -8): (2, 37)
(2, 1, 2, (0, 0, 0), -7): (1, 70)
(2, 1, 2, (0, 0, 0), -6): (7, 189)
(2, 1, 2, (0, 0, 0), -5): (45, 335)
(2, 1, 2, (0, 0, 0), -4): (101, 676)
(2, 1, 2, (0, 0, 0), -3): (325, 1436)
(2, 1, 2, (0, 0, 0), -2): (788, 2736)
(2, 1, 2, (0, 0, 0), -1): (2237, 5578)
(2, 1, 2, (0, 0, 0), 0): (6862, 12781)
(2, 1, 2, (0, 0, 0), 1): (3316, 4998)
(2, 1, 2, (0, 0, 0), 2): (1856, 2469)
(2, 1, 2, (0, 0, 0), 3): (1105, 1337)
(2, 1, 2, (0, 0, 0), 4): (582, 645)
(2, 1, 2, (0, 0, 0), 5): (321, 341)
(2, 1, 2, (0, 0, 0), 6): (158, 166)
(2, 1, 2, (0, 0, 0), 7): (73, 78)
(2, 1, 2, (0, 0, 0), 8): (41, 42)
(2, 1, 2, (0, 0, 0), 9): (16, 16)
(2, 1, 2, (0, 0, 0), 10): (11, 11)
(2, 1, 2, (0, 0, 0), 11): (3, 3)
(2, 1, 2, (0, 0, 0), 12): (2, 2)
(2, 1, 2, (0, 0, 0), 15): (1, 1)
(2, 1, 2, (0, 0, 1), -9): (1, 1)
(2, 1, 2, (0, 0, 1), -8): (0, 3)
(2, 1, 2, (0, 0, 1), -7): (0, 4)
(2, 1, 2, (0, 0, 1), -6): (3, 18)
(2, 1, 2, (0, 0, 1), -5): (6, 38)
(2, 1, 2, (0, 0, 1), -4): (16, 53)
(2, 1, 2, (0, 0, 1), -3): (32, 128)
(2, 1, 2, (0, 0, 1), -2): (73, 238)
(2, 1, 2, (0, 0, 1), -1): (220, 542)
(2, 1, 2, (0, 0, 1), 0): (713, 1221)
(2, 1, 2, (0, 0, 1), 1): (545, 808)
(2, 1, 2, (0, 0, 1), 2): (379, 483)
(2, 1, 2, (0, 0, 1), 3): (269, 314)
(2, 1, 2, (0, 0, 1), 4): (139, 150)
(2, 1, 2, (0, 0, 1), 5): (79, 84)
(2, 1, 2, (0, 0, 1), 6): (48, 48)
(2, 1, 2, (0, 0, 1), 7): (16, 16)
(2, 1, 2, (0, 0, 1), 8): (5, 5)
(2, 1, 2, (0, 0, 1), 9): (4, 4)
(2, 1, 2, (0, 0, 1), 10): (1, 1)
(2, 1, 2, (0, 0, 1), 11): (1, 1)
(2, 1, 2, (0, 1, 0), -12): (0, 1)
(2, 1, 2, (0, 1, 0), -11): (0, 1)
(2, 1, 2, (0, 1, 0), -10): (0, 1)
(2, 1, 2, (0, 1, 0), -9): (0, 3)
(2, 1, 2, (0, 1, 0), -8): (2, 9)
(2, 1, 2, (0, 1, 0), -7): (0, 8)
(2, 1, 2, (0, 1, 0), -6): (3, 27)
(2, 1, 2, (0, 1, 0), -5): (12, 66)
(2, 1, 2, (0, 1, 0), -4): (31, 152)
(2, 1, 2, (0, 1, 0), -3): (86, 301)
(2, 1, 2, (0, 1, 0), -2): (212, 620)
(2, 1, 2, (0, 1, 0), -1): (596, 1326)
(2, 1, 2, (0, 1, 0), 0): (1773, 3127)
(2, 1, 2, (0, 1, 0), 1): (1272, 1879)
(2, 1, 2, (0, 1, 0), 2): (898, 1160)
(2, 1, 2, (0, 1, 0), 3): (607, 703)
(2, 1, 2, (0, 1, 0), 4): (324, 353)
(2, 1, 2, (0, 1, 0), 5): (165, 175)
(2, 1, 2, (0, 1, 0), 6): (83, 87)
(2, 1, 2, (0, 1, 0), 7): (40, 40)
(2, 1, 2, (0, 1, 0), 8): (19, 19)
(2, 1, 2, (0, 1, 0), 9): (6, 6)
(2, 1, 2, (0, 1, 0), 10): (4, 4)
(2, 1, 2, (0, 1, 0), 11): (3, 3)
(2, 1, 2, (0, 1, 0), 13): (1, 1)
(2, 1, 2, (0, 1, 0), 16): (1, 1)
(2, 1, 2, (0, 1, 1), -11): (0, 1)
(2, 1, 2, (0, 1, 1), -9): (0, 2)
(2, 1, 2, (0, 1, 1), -8): (0, 3)
(2, 1, 2, (0, 1, 1), -7): (0, 4)
(2, 1, 2, (0, 1, 1), -6): (2, 8)
(2, 1, 2, (0, 1, 1), -5): (0, 12)
(2, 1, 2, (0, 1, 1), -4): (3, 33)
(2, 1, 2, (0, 1, 1), -3): (26, 78)
(2, 1, 2, (0, 1, 1), -2): (51, 162)
(2, 1, 2, (0, 1, 1), -1): (133, 280)
(2, 1, 2, (0, 1, 1), 0): (414, 678)
(2, 1, 2, (0, 1, 1), 1): (361, 518)
(2, 1, 2, (0, 1, 1), 2): (265, 322)
(2, 1, 2, (0, 1, 1), 3): (158, 181)
(2, 1, 2, (0, 1, 1), 4): (87, 91)
(2, 1, 2, (0, 1, 1), 5): (42, 44)
(2, 1, 2, (0, 1, 1), 6): (24, 25)
(2, 1, 2, (0, 1, 1), 7): (13, 13)
(2, 1, 2, (0, 1, 1), 8): (4, 4)
(2, 1, 2, (0, 1, 1), 9): (4, 4)
(2, 1, 2, (0, 1, 1), 10): (1, 1)
(2, 1, 2, (1, 0, 0), -12): (0, 1)
(2, 1, 2, (1, 0, 0), -11): (0, 2)
(2, 1, 2, (1, 0, 0), -10): (0, 5)
(2, 1, 2, (1, 0, 0), -9): (0, 11)
(2, 1, 2, (1, 0, 0), -8): (0, 18)
(2, 1, 2, (1, 0, 0), -7): (0, 37)
(2, 1, 2, (1, 0, 0), -6): (10, 104)
(2, 1, 2, (1, 0, 0), -5): (22, 171)
(2, 1, 2, (1, 0, 0), -4): (61, 380)
(2, 1, 2, (1, 0, 0), -3): (154, 716)
(2, 1, 2, (1, 0, 0), -2): (405, 1366)
(2, 1, 2, (1, 0, 0), -1): (1141, 2737)
(2, 1, 2, (1, 0, 0), 0): (3334, 5980)
(2, 1, 2, (1, 0, 0), 1): (1849, 2729)
(2, 1, 2, (1, 0, 0), 2): (1208, 1592)
(2, 1, 2, (1, 0, 0), 3): (670, 802)
(2, 1, 2, (1, 0, 0), 4): (414, 452)
(2, 1, 2, (1, 0, 0), 5): (209, 230)
(2, 1, 2, (1, 0, 0), 6): (109, 115)
(2, 1, 2, (1, 0, 0), 7): (50, 56)
(2, 1, 2, (1, 0, 0), 8): (30, 30)
(2, 1, 2, (1, 0, 0), 9): (16, 16)
(2, 1, 2, (1, 0, 0), 10): (5, 5)
(2, 1, 2, (1, 0, 0), 11): (1, 1)
(2, 1, 2, (1, 0, 0), 12): (2, 2)
(2, 1, 2, (1, 0, 0), 13): (1, 1)
(2, 1, 2, (1, 0, 0), 15): (1, 1)
(2, 1, 2, (1, 0, 1), -10): (0, 2)
(2, 1, 2, (1, 0, 1), -9): (0, 3)
(2, 1, 2, (1, 0, 1), -8): (1, 6)
(2, 1, 2, (1, 0, 1), -7): (1, 5)
(2, 1, 2, (1, 0, 1), -6): (1, 11)
(2, 1, 2, (1, 0, 1), -5): (5, 32)
(2, 1, 2, (1, 0, 1), -4): (8, 57)
(2, 1, 2, (1, 0, 1), -3): (28, 112)
(2, 1, 2, (1, 0, 1), -2): (105, 263)
(2, 1, 2, (1, 0, 1), -1): (216, 494)
(2, 1, 2, (1, 0, 1), 0): (560, 1008)
(2, 1, 2, (1, 0, 1), 1): (494, 706)
(2, 1, 2, (1, 0, 1), 2): (357, 432)
(2, 1, 2, (1, 0, 1), 3): (234, 274)
(2, 1, 2, (1, 0, 1), 4): (131, 151)
(2, 1, 2, (1, 0, 1), 5): (85, 88)
(2, 1, 2, (1, 0, 1), 6): (34, 34)
(2, 1, 2, (1, 0, 1), 7): (22, 22)
(2, 1, 2, (1, 0, 1), 8): (14, 14)
(2, 1, 2, (1, 0, 1), 9): (2, 2)
(2, 1, 2, (1, 0, 1), 10): (1, 1)
(2, 1, 2, (1, 0, 1), 11): (1, 1)
(2, 1, 2, (1, 0, 1), 14): (1, 1)
(2, 1, 2, (1, 1, 0), -11): (0, 1)
(2, 1, 2, (1, 1, 0), -9): (0, 4)
(2, 1, 2, (1, 1, 0), -8): (0, 7)
(2, 1, 2, (1, 1, 0), -7): (0, 19)
(2, 1, 2, (1, 1, 0), -6): (2, 38)
(2, 1, 2, (1, 1, 0), -5): (7, 73)
(2, 1, 2, (1, 1, 0), -4): (24, 136)
(2, 1, 2, (1, 1, 0), -3): (77, 288)
(2, 1, 2, (1, 1, 0), -2): (175, 567)
(2, 1, 2, (1, 1, 0), -1): (484, 1067)
(2, 1, 2, (1, 1, 0), 0): (1380, 2410)
(2, 1, 2, (1, 1, 0), 1): (984, 1390)
(2, 1, 2, (1, 1, 0), 2): (632, 781)
(2, 1, 2, (1, 1, 0), 3): (368, 439)
(2, 1, 2, (1, 1, 0), 4): (234, 251)
(2, 1, 2, (1, 1, 0), 5): (124, 136)
(2, 1, 2, (1, 1, 0), 6): (59, 62)
(2, 1, 2, (1, 1, 0), 7): (38, 39)
(2, 1, 2, (1, 1, 0), 8): (15, 15)
(2, 1, 2, (1, 1, 0), 9): (10, 11)
(2, 1, 2, (1, 1, 0), 10): (2, 2)
(2, 1, 2, (1, 1, 0), 11): (2, 2)
(2, 1, 2, (1, 1, 0), 12): (1, 1)
(2, 1, 2, (1, 1, 0), 13): (1, 1)
(2, 1, 2, (1, 1, 1), -11): (0, 1)
(2, 1, 2, (1, 1, 1), -9): (0, 1)
(2, 1, 2, (1, 1, 1), -8): (0, 2)
(2, 1, 2, (1, 1, 1), -7): (1, 5)
(2, 1, 2, (1, 1, 1), -6): (0, 6)
(2, 1, 2, (1, 1, 1), -5): (3, 11)
(2, 1, 2, (1, 1, 1), -4): (5, 35)
(2, 1, 2, (1, 1, 1), -3): (27, 85)
(2, 1, 2, (1, 1, 1), -2): (68, 167)
(2, 1, 2, (1, 1, 1), -1): (124, 288)
(2, 1, 2, (1, 1, 1), 0): (398, 639)
(2, 1, 2, (1, 1, 1), 1): (328, 456)
(2, 1, 2, (1, 1, 1), 2): (235, 299)
(2, 1, 2, (1, 1, 1), 3): (156, 187)
(2, 1, 2, (1, 1, 1), 4): (90, 96)
(2, 1, 2, (1, 1, 1), 5): (63, 69)
(2, 1, 2, (1, 1, 1), 6): (29, 29)
(2, 1, 2, (1, 1, 1), 7): (19, 19)
(2, 1, 2, (1, 1, 1), 8): (5, 6)
(2, 1, 2, (1, 1, 1), 9): (5, 5)
(3, 0, 0, (0, 0, 0), -16): (0, 1)
(3, 0, 0, (0, 0, 0), -15): (0, 1)
(3, 0, 0, (0, 0, 0), -13): (0, 1)
(3, 0, 0, (0, 0, 0), -12): (0, 6)
(3, 0, 0, (0, 0, 0), -11): (0, 12)
(3, 0, 0, (0, 0, 0), -10): (0, 20)
(3, 0, 0, (0, 0, 0), -9): (1, 44)
(3, 0, 0, (0, 0, 0), -8): (3, 100)
(3, 0, 0, (0, 0, 0), -7): (8, 192)
(3, 0, 0, (0, 0, 0), -6): (16, 392)
(3, 0, 0, (0, 0, 0), -5): (54, 777)
(3, 0, 0, (0, 0, 0), -4): (147, 1409)
(3, 0, 0, (0, 0, 0), -3): (493, 2877)
(3, 0, 0, (0, 0, 0), -2): (1264, 5210)
(3, 0, 0, (0, 0, 0), -1): (3380, 9827)
(3, 0, 0, (0, 0, 0), 0): (9576, 20392)
(3, 0, 0, (0, 0, 0), 1): (5582, 9237)
(3, 0, 0, (0, 0, 0), 2): (3327, 4673)
(3, 0, 0, (0, 0, 0), 3): (1910, 2448)
(3, 0, 0, (0, 0, 0), 4): (1076, 1247)
(3, 0, 0, (0, 0, 0), 5): (539, 618)
(3, 0, 0, (0, 0, 0), 6): (323, 343)
(3, 0, 0, (0, 0, 0), 7): (137, 140)
(3, 0, 0, (0, 0, 0), 8): (62, 65)
(3, 0, 0, (0, 0, 0), 9): (34, 35)
(3, 0, 0, (0, 0, 0), 10): (17, 17)
(3, 0, 0, (0, 0, 0), 11): (4, 4)
(3, 0, 0, (0, 0, 0), 12): (4, 4)
(3, 0, 0, (0, 0, 1), -9): (0, 2)
(3, 0, 0, (0, 0, 1), -8): (0, 1)
(3, 0, 0, (0, 0, 1), -7): (0, 1)
(3, 0, 0, (0, 0, 1), -6): (0, 1)
(3, 0, 0, (0, 0, 1), -5): (0, 7)
(3, 0, 0, (0, 0, 1), -4): (4, 12)
(3, 0, 0, (0, 0, 1), -3): (7, 29)
(3, 0, 0, (0, 0, 1), -2): (16, 59)
(3, 0, 0, (0, 0, 1), -1): (50, 98)
(3, 0, 0, (0, 0, 1), 0): (108, 186)
(3, 0, 0, (0, 0, 1), 1): (112, 162)
(3, 0, 0, (0, 0, 1), 2): (77, 98)
(3, 0, 0, (0, 0, 1), 3): (47, 55)
(3, 0, 0, (0, 0, 1), 4): (28, 29)
(3, 0, 0, (0, 0, 1), 5): (12, 12)
(3, 0, 0, (0, 0, 1), 6): (7, 7)
(3, 0, 0, (0, 0, 1), 7): (6, 6)
(3, 0, 0, (0, 0, 1), 8): (2, 2)
(3, 0, 0, (0, 0, 1), 9): (1, 1)
(3, 0, 0, (0, 1, 0), -10): (0, 1)
(3, 0, 0, (0, 1, 0), -9): (0, 1)
(3, 0, 0, (0, 1, 0), -8): (0, 6)
(3, 0, 0, (0, 1, 0), -7): (1, 5)
(3, 0, 0, (0, 1, 0), -6): (1, 26)
(3, 0, 0, (0, 1, 0), -5): (6, 54)
(3, 0, 0, (0, 1, 0), -4): (16, 76)
(3, 0, 0, (0, 1, 0), -3): (35, 170)
(3, 0, 0, (0, 1, 0), -2): (88, 315)
(3, 0, 0, (0, 1, 0), -1): (254, 608)
(3, 0, 0, (0, 1, 0), 0): (714, 1309)
(3, 0, 0, (0, 1, 0), 1): (509, 746)
(3, 0, 0, (0, 1, 0), 2): (346, 461)
(3, 0, 0, (0, 1, 0), 3): (197, 256)
(3, 0, 0, (0, 1, 0), 4): (94, 113)
(3, 0, 0, (0, 1, 0), 5): (74, 81)
(3, 0, 0, (0, 1, 0), 6): (32, 33)
(3, 0, 0, (0, 1, 0), 7): (11, 11)
(3, 0, 0, (0, 1, 0), 8): (9, 10)
(3, 0, 0, (0, 1, 0), 9): (3, 4)
(3, 0, 0, (0, 1, 0), 10): (1, 1)
(3, 0, 0, (0, 1, 1), -16): (0, 1)
(3, 0, 0, (0, 1, 1), -8): (0, 1)
(3, 0, 0, (0, 1, 1), -7): (0, 5)
(3, 0, 0, (0, 1, 1), -6): (1, 1)
(3, 0, 0, (0, 1, 1), -5): (1, 9)
(3, 0, 0, (0, 1, 1), -4): (4, 11)
(3, 0, 0, (0, 1, 1), -3): (8, 28)
(3, 0, 0, (0, 1, 1), -2): (20, 52)
(3, 0, 0, (0, 1, 1), -1): (50, 103)
(3, 0, 0, (0, 1, 1), 0): (108, 190)
(3, 0, 0, (0, 1, 1), 1): (99, 130)
(3, 0, 0, (0, 1, 1), 2): (84, 104)
(3, 0, 0, (0, 1, 1), 3): (51, 60)
(3, 0, 0, (0, 1, 1), 4): (26, 30)
(3, 0, 0, (0, 1, 1), 5): (14, 15)
(3, 0, 0, (0, 1, 1), 6): (14, 15)
(3, 0, 0, (0, 1, 1), 7): (4, 4)
(3, 0, 0, (0, 1, 1), 8): (1, 1)
(3, 0, 0, (0, 1, 1), 9): (1, 1)
(3, 0, 0, (0, 1, 1), 12): (1, 1)
(3, 0, 0, (1, 0, 0), -16): (0, 1)
(3, 0, 0, (1, 0, 0), -11): (0, 2)
(3, 0, 0, (1, 0, 0), -10): (0, 2)
(3, 0, 0, (1, 0, 0), -9): (0, 9)
(3, 0, 0, (1, 0, 0), -8): (1, 25)
(3, 0, 0, (1, 0, 0), -7): (1, 44)
(3, 0, 0, (1, 0, 0), -6): (5, 85)
(3, 0, 0, (1, 0, 0), -5): (17, 197)
(3, 0, 0, (1, 0, 0), -4): (46, 324)
(3, 0, 0, (1, 0, 0), -3): (126, 696)
(3, 0, 0, (1, 0, 0), -2): (339, 1217)
(3, 0, 0, (1, 0, 0), -1): (857, 2286)
(3, 0, 0, (1, 0, 0), 0): (2476, 4797)
(3, 0, 0, (1, 0, 0), 1): (1442, 2287)
(3, 0, 0, (1, 0, 0), 2): (900, 1233)
(3, 0, 0, (1, 0, 0), 3): (548, 667)
(3, 0, 0, (1, 0, 0), 4): (293, 343)
(3, 0, 0, (1, 0, 0), 5): (147, 168)
(3, 0, 0, (1, 0, 0), 6): (95, 102)
(3, 0, 0, (1, 0, 0), 7): (36, 38)
(3, 0, 0, (1, 0, 0), 8): (15, 16)
(3, 0, 0, (1, 0, 0), 9): (13, 13)
(3, 0, 0, (1, 0, 0), 10): (5, 5)
(3, 0, 0, (1, 0, 0), 11): (4, 4)
(3, 0, 0, (1, 0, 0), 12): (1, 1)
(3, 0, 0, (1, 0, 1), -8): (1, 2)
(3, 0, 0, (1, 0, 1), -7): (0, 1)
(3, 0, 0, (1, 0, 1), -6): (1, 3)
(3, 0, 0, (1, 0, 1), -5): (3, 12)
(3, 0, 0, (1, 0, 1), -4): (7, 30)
(3, 0, 0, (1, 0, 1), -3): (8, 40)
(3, 0, 0, (1, 0, 1), -2): (27, 80)
(3, 0, 0, (1, 0, 1), -1): (79, 161)
(3, 0, 0, (1, 0, 1), 0): (237, 388)
(3, 0, 0, (1, 0, 1), 1): (187, 257)
(3, 0, 0, (1, 0, 1), 2): (135, 170)
(3, 0, 0, (1, 0, 1), 3): (81, 95)
(3, 0, 0, (1, 0, 1), 4): (35, 37)
(3, 0, 0, (1, 0, 1), 5): (21, 21)
(3, 0, 0, (1, 0, 1), 6): (11, 11)
(3, 0, 0, (1, 0, 1), 7): (6, 6)
(3, 0, 0, (1, 0, 1), 8): (3, 3)
(3, 0, 0, (1, 0, 1), 9): (1, 1)
(3, 0, 0, (1, 1, 0), -10): (0, 2)
(3, 0, 0, (1, 1, 0), -8): (0, 6)
(3, 0, 0, (1, 1, 0), -7): (2, 14)
(3, 0, 0, (1, 1, 0), -6): (2, 24)
(3, 0, 0, (1, 1, 0), -5): (7, 52)
(3, 0, 0, (1, 1, 0), -4): (13, 75)
(3, 0, 0, (1, 1, 0), -3): (34, 145)
(3, 0, 0, (1, 1, 0), -2): (92, 259)
(3, 0, 0, (1, 1, 0), -1): (179, 444)
(3, 0, 0, (1, 1, 0), 0): (471, 816)
(3, 0, 0, (1, 1, 0), 1): (366, 546)
(3, 0, 0, (1, 1, 0), 2): (250, 323)
(3, 0, 0, (1, 1, 0), 3): (162, 187)
(3, 0, 0, (1, 1, 0), 4): (89, 106)
(3, 0, 0, (1, 1, 0), 5): (55, 60)
(3, 0, 0, (1, 1, 0), 6): (25, 26)
(3, 0, 0, (1, 1, 0), 7): (15, 15)
(3, 0, 0, (1, 1, 0), 8): (6, 7)
(3, 0, 0, (1, 1, 0), 9): (3, 3)
(3, 0, 0, (1, 1, 0), 10): (1, 1)
(3, 0, 0, (1, 1, 1), -10): (0, 1)
(3, 0, 0, (1, 1, 1), -8): (1, 4)
(3, 0, 0, (1, 1, 1), -7): (0, 5)
(3, 0, 0, (1, 1, 1), -6): (0, 4)
(3, 0, 0, (1, 1, 1), -5): (1, 11)
(3, 0, 0, (1, 1, 1), -4): (1, 12)
(3, 0, 0, (1, 1, 1), -3): (8, 29)
(3, 0, 0, (1, 1, 1), -2): (27, 56)
(3, 0, 0, (1, 1, 1), -1): (57, 97)
(3, 0, 0, (1, 1, 1), 0): (121, 180)
(3, 0, 0, (1, 1, 1), 1): (105, 138)
(3, 0, 0, (1, 1, 1), 2): (74, 87)
(3, 0, 0, (1, 1, 1), 3): (49, 57)
(3, 0, 0, (1, 1, 1), 4): (35, 39)
(3, 0, 0, (1, 1, 1), 5): (17, 20)
(3, 0, 0, (1, 1, 1), 6): (6, 6)
(3, 0, 0, (1, 1, 1), 7): (2, 2)
(3, 0, 0, (1, 1, 1), 8): (0, 1)
(3, 0, 1, (0, 0, 0), -15): (0, 1)
(3, 0, 1, (0, 0, 0), -13): (0, 1)
(3, 0, 1, (0, 0, 0), -12): (0, 6)
(3, 0, 1, (0, 0, 0), -11): (0, 8)
(3, 0, 1, (0, 0, 0), -10): (0, 17)
(3, 0, 1, (0, 0, 0), -9): (1, 32)
(3, 0, 1, (0, 0, 0), -8): (2, 72)
(3, 0, 1, (0, 0, 0), -7): (6, 141)
(3, 0, 1, (0, 0, 0), -6): (10, 274)
(3, 0, 1, (0, 0, 0), -5): (33, 531)
(3, 0, 1, (0, 0, 0), -4): (86, 1008)
(3, 0, 1, (0, 0, 0), -3): (328, 2042)
(3, 0, 1, (0, 0, 0), -2): (837, 3769)
(3, 0, 1, (0, 0, 0), -1): (2331, 7137)
(3, 0, 1, (0, 0, 0), 0): (6587, 14775)
(3, 0, 1, (0, 0, 0), 1): (3987, 6864)
(3, 0, 1, (0, 0, 0), 2): (2475, 3564)
(3, 0, 1, (0, 0, 0), 3): (1517, 1973)
(3, 0, 1, (0, 0, 0), 4): (927, 1078)
(3, 0, 1, (0, 0, 0), 5): (466, 533)
(3, 0, 1, (0, 0, 0), 6): (271, 286)
(3, 0, 1, (0, 0, 0), 7): (117, 119)
(3, 0, 1, (0, 0, 0), 8): (65, 68)
(3, 0, 1, (0, 0, 0), 9): (25, 25)
(3, 0, 1, (0, 0, 0), 10): (15, 15)
(3, 0, 1, (0, 0, 0), 11): (3, 3)
(3, 0, 1, (0, 0, 0), 12): (4, 4)
(3, 0, 1, (0, 0, 1), -15): (0, 1)
(3, 0, 1, (0, 0, 1), -10): (0, 1)
(3, 0, 1, (0, 0, 1), -9): (0, 2)
(3, 0, 1, (0, 0, 1), -8): (0, 5)
(3, 0, 1, (0, 0, 1), -7): (0, 2)
(3, 0, 1, (0, 0, 1), -6): (1, 14)
(3, 0, 1, (0, 0, 1), -5): (2, 16)
(3, 0, 1, (0, 0, 1), -4): (8, 41)
(3, 0, 1, (0, 0, 1), -3): (26, 92)
(3, 0, 1, (0, 0, 1), -2): (51, 184)
(3, 0, 1, (0, 0, 1), -1): (144, 375)
(3, 0, 1, (0, 0, 1), 0): (439, 836)
(3, 0, 1, (0, 0, 1), 1): (389, 590)
(3, 0, 1, (0, 0, 1), 2): (229, 300)
(3, 0, 1, (0, 0, 1), 3): (169, 212)
(3, 0, 1, (0, 0, 1), 4): (85, 99)
(3, 0, 1, (0, 0, 1), 5): (50, 55)
(3, 0, 1, (0, 0, 1), 6): (22, 23)
(3, 0, 1, (0, 0, 1), 7): (11, 11)
(3, 0, 1, (0, 0, 1), 8): (8, 8)
(3, 0, 1, (0, 0, 1), 9): (2, 2)
(3, 0, 1, (0, 1, 0), -11): (0, 1)
(3, 0, 1, (0, 1, 0), -10): (0, 2)
(3, 0, 1, (0, 1, 0), -9): (0, 4)
(3, 0, 1, (0, 1, 0), -8): (1, 13)
(3, 0, 1, (0, 1, 0), -7): (0, 12)
(3, 0, 1, (0, 1, 0), -6): (2, 30)
(3, 0, 1, (0, 1, 0), -5): (1, 71)
(3, 0, 1, (0, 1, 0), -4): (13, 130)
(3, 0, 1, (0, 1, 0), -3): (52, 293)
(3, 0, 1, (0, 1, 0), -2): (151, 569)
(3, 0, 1, (0, 1, 0), -1): (453, 1232)
(3, 0, 1, (0, 1, 0), 0): (1336, 2656)
(3, 0, 1, (0, 1, 0), 1): (942, 1509)
(3, 0, 1, (0, 1, 0), 2): (620, 868)
(3, 0, 1, (0, 1, 0), 3): (372, 465)
(3, 0, 1, (0, 1, 0), 4): (231, 265)
(3, 0, 1, (0, 1, 0), 5): (121, 141)
(3, 0, 1, (0, 1, 0), 6): (72, 76)
(3, 0, 1, (0, 1, 0), 7): (21, 23)
(3, 0, 1, (0, 1, 0), 8): (17, 18)
(3, 0, 1, (0, 1, 0), 9): (5, 6)
(3, 0, 1, (0, 1, 0), 10): (4, 4)
(3, 0, 1, (0, 1, 0), 11): (3, 3)
(3, 0, 1, (0, 1, 0), 12): (1, 1)
(3, 0, 1, (0, 1, 1), -11): (0, 1)
(3, 0, 1, (0, 1, 1), -8): (0, 3)
(3, 0, 1, (0, 1, 1), -7): (1, 4)
(3, 0, 1, (0, 1, 1), -6): (0, 11)
(3, 0, 1, (0, 1, 1), -5): (3, 22)
(3, 0, 1, (0, 1, 1), -4): (7, 36)
(3, 0, 1, (0, 1, 1), -3): (30, 79)
(3, 0, 1, (0, 1, 1), -2): (44, 139)
(3, 0, 1, (0, 1, 1), -1): (117, 286)
(3, 0, 1, (0, 1, 1), 0): (325, 564)
(3, 0, 1, (0, 1, 1), 1): (245, 380)
(3, 0, 1, (0, 1, 1), 2): (191, 257)
(3, 0, 1, (0, 1, 1), 3): (133, 160)
(3, 0, 1, (0, 1, 1), 4): (97, 112)
(3, 0, 1, (0, 1, 1), 5): (43, 49)
(3, 0, 1, (0, 1, 1), 6): (33, 34)
(3, 0, 1, (0, 1, 1), 7): (7, 7)
(3, 0, 1, (0, 1, 1), 8): (6, 6)
(3, 0, 1, (0, 1, 1), 9): (4, 5)
(3, 0, 1, (0, 1, 1), 10): (1, 1)
(3, 0, 1, (0, 1, 1), 11): (2, 2)
(3, 0, 1, (0, 1, 1), 12): (1, 1)
(3, 0, 1, (1, 0, 0), -14): (0, 1)
(3, 0, 1, (1, 0, 0), -12): (0, 2)
(3, 0, 1, (1, 0, 0), -11): (0, 5)
(3, 0, 1, (1, 0, 0), -10): (0, 4)
(3, 0, 1, (1, 0, 0), -9): (1, 13)
(3, 0, 1, (1, 0, 0), -8): (0, 28)
(3, 0, 1, (1, 0, 0), -7): (3, 61)
(3, 0, 1, (1, 0, 0), -6): (5, 115)
(3, 0, 1, (1, 0, 0), -5): (17, 226)
(3, 0, 1, (1, 0, 0), -4): (40, 400)
(3, 0, 1, (1, 0, 0), -3): (167, 800)
(3, 0, 1, (1, 0, 0), -2): (338, 1389)
(3, 0, 1, (1, 0, 0), -1): (962, 2658)
(3, 0, 1, (1, 0, 0), 0): (2455, 5276)
(3, 0, 1, (1, 0, 0), 1): (1767, 2908)
(3, 0, 1, (1, 0, 0), 2): (1174, 1698)
(3, 0, 1, (1, 0, 0), 3): (704, 886)
(3, 0, 1, (1, 0, 0), 4): (452, 524)
(3, 0, 1, (1, 0, 0), 5): (208, 242)
(3, 0, 1, (1, 0, 0), 6): (131, 145)
(3, 0, 1, (1, 0, 0), 7): (61, 63)
(3, 0, 1, (1, 0, 0), 8): (32, 32)
(3, 0, 1, (1, 0, 0), 9): (13, 13)
(3, 0, 1, (1, 0, 0), 10): (7, 7)
(3, 0, 1, (1, 0, 0), 11): (4, 4)
(3, 0, 1, (1, 0, 0), 12): (1, 1)
(3, 0, 1, (1, 0, 1), -8): (0, 4)
(3, 0, 1, (1, 0, 1), -7): (0, 5)
(3, 0, 1, (1, 0, 1), -6): (1, 16)
(3, 0, 1, (1, 0, 1), -5): (5, 26)
(3, 0, 1, (1, 0, 1), -4): (11, 50)
(3, 0, 1, (1, 0, 1), -3): (36, 120)
(3, 0, 1, (1, 0, 1), -2): (71, 203)
(3, 0, 1, (1, 0, 1), -1): (135, 358)
(3, 0, 1, (1, 0, 1), 0): (421, 750)
(3, 0, 1, (1, 0, 1), 1): (390, 565)
(3, 0, 1, (1, 0, 1), 2): (269, 366)
(3, 0, 1, (1, 0, 1), 3): (177, 220)
(3, 0, 1, (1, 0, 1), 4): (101, 118)
(3, 0, 1, (1, 0, 1), 5): (47, 52)
(3, 0, 1, (1, 0, 1), 6): (27, 29)
(3, 0, 1, (1, 0, 1), 7): (17, 17)
(3, 0, 1, (1, 0, 1), 8): (11, 11)
(3, 0, 1, (1, 0, 1), 9): (2, 3)
(3, 0, 1, (1, 0, 1), 10): (1, 1)
(3, 0, 1, (1, 0, 1), 11): (1, 1)
(3, 0, 1, (1, 0, 1), 15): (1, 1)
(3, 0, 1, (1, 1, 0), -14): (0, 1)
(3, 0, 1, (1, 1, 0), -12): (0, 1)
(3, 0, 1, (1, 1, 0), -11): (0, 1)
(3, 0, 1, (1, 1, 0), -10): (0, 3)
(3, 0, 1, (1, 1, 0), -9): (0, 4)
(3, 0, 1, (1, 1, 0), -8): (0, 7)
(3, 0, 1, (1, 1, 0), -7): (3, 19)
(3, 0, 1, (1, 1, 0), -6): (1, 37)
(3, 0, 1, (1, 1, 0), -5): (5, 86)
(3, 0, 1, (1, 1, 0), -4): (22, 128)
(3, 0, 1, (1, 1, 0), -3): (51, 240)
(3, 0, 1, (1, 1, 0), -2): (136, 438)
(3, 0, 1, (1, 1, 0), -1): (333, 786)
(3, 0, 1, (1, 1, 0), 0): (728, 1446)
(3, 0, 1, (1, 1, 0), 1): (660, 1030)
(3, 0, 1, (1, 1, 0), 2): (512, 704)
(3, 0, 1, (1, 1, 0), 3): (294, 363)
(3, 0, 1, (1, 1, 0), 4): (182, 227)
(3, 0, 1, (1, 1, 0), 5): (113, 125)
(3, 0, 1, (1, 1, 0), 6): (62, 65)
(3, 0, 1, (1, 1, 0), 7): (31, 32)
(3, 0, 1, (1, 1, 0), 8): (16, 16)
(3, 0, 1, (1, 1, 0), 9): (7, 7)
(3, 0, 1, (1, 1, 0), 10): (4, 4)
(3, 0, 1, (1, 1, 0), 11): (3, 4)
(3, 0, 1, (1, 1, 0), 12): (1, 2)
(3, 0, 1, (1, 1, 1), -10): (0, 1)
(3, 0, 1, (1, 1, 1), -8): (1, 6)
(3, 0, 1, (1, 1, 1), -7): (0, 5)
(3, 0, 1, (1, 1, 1), -6): (0, 12)
(3, 0, 1, (1, 1, 1), -5): (2, 25)
(3, 0, 1, (1, 1, 1), -4): (2, 32)
(3, 0, 1, (1, 1, 1), -3): (18, 56)
(3, 0, 1, (1, 1, 1), -2): (35, 105)
(3, 0, 1, (1, 1, 1), -1): (93, 206)
(3, 0, 1, (1, 1, 1), 0): (266, 433)
(3, 0, 1, (1, 1, 1), 1): (250, 372)
(3, 0, 1, (1, 1, 1), 2): (212, 276)
(3, 0, 1, (1, 1, 1), 3): (147, 177)
(3, 0, 1, (1, 1, 1), 4): (92, 112)
(3, 0, 1, (1, 1, 1), 5): (47, 56)
(3, 0, 1, (1, 1, 1), 6): (19, 19)
(3, 0, 1, (1, 1, 1), 7): (12, 13)
(3, 0, 1, (1, 1, 1), 8): (3, 3)
(3, 0, 1, (1, 1, 1), 9): (4, 5)
(3, 0, 1, (1, 1, 1), 10): (2, 2)
(3, 0, 1, (1, 1, 1), 11): (3, 3)
(3, 0, 1, (1, 1, 1), 12): (1, 1)
(3, 0, 1, (1, 1, 1), 13): (1, 1)
(3, 0, 2, (0, 0, 0), -15): (0, 1)
(3, 0, 2, (0, 0, 0), -13): (0, 1)
(3, 0, 2, (0, 0, 0), -12): (0, 4)
(3, 0, 2, (0, 0, 0), -11): (0, 5)
(3, 0, 2, (0, 0, 0), -10): (0, 12)
(3, 0, 2, (0, 0, 0), -9): (0, 23)
(3, 0, 2, (0, 0, 0), -8): (1, 50)
(3, 0, 2, (0, 0, 0), -7): (3, 106)
(3, 0, 2, (0, 0, 0), -6): (6, 201)
(3, 0, 2, (0, 0, 0), -5): (25, 420)
(3, 0, 2, (0, 0, 0), -4): (62, 758)
(3, 0, 2, (0, 0, 0), -3): (218, 1586)
(3, 0, 2, (0, 0, 0), -2): (618, 2942)
(3, 0, 2, (0, 0, 0), -1): (1654, 5441)
(3, 0, 2, (0, 0, 0), 0): (5029, 11555)
(3, 0, 2, (0, 0, 0), 1): (3117, 5601)
(3, 0, 2, (0, 0, 0), 2): (2136, 3144)
(3, 0, 2, (0, 0, 0), 3): (1406, 1866)
(3, 0, 2, (0, 0, 0), 4): (918, 1097)
(3, 0, 2, (0, 0, 0), 5): (460, 522)
(3, 0, 2, (0, 0, 0), 6): (283, 299)
(3, 0, 2, (0, 0, 0), 7): (121, 126)
(3, 0, 2, (0, 0, 0), 8): (54, 57)
(3, 0, 2, (0, 0, 0), 9): (36, 36)
(3, 0, 2, (0, 0, 0), 10): (16, 16)
(3, 0, 2, (0, 0, 0), 11): (6, 6)
(3, 0, 2, (0, 0, 0), 12): (3, 3)
(3, 0, 2, (0, 0, 1), -11): (0, 1)
(3, 0, 2, (0, 0, 1), -10): (0, 2)
(3, 0, 2, (0, 0, 1), -9): (0, 1)
(3, 0, 2, (0, 0, 1), -8): (1, 6)
(3, 0, 2, (0, 0, 1), -7): (0, 9)
(3, 0, 2, (0, 0, 1), -6): (1, 11)
(3, 0, 2, (0, 0, 1), -5): (2, 25)
(3, 0, 2, (0, 0, 1), -4): (7, 64)
(3, 0, 2, (0, 0, 1), -3): (30, 142)
(3, 0, 2, (0, 0, 1), -2): (72, 276)
(3, 0, 2, (0, 0, 1), -1): (185, 554)
(3, 0, 2, (0, 0, 1), 0): (558, 1189)
(3, 0, 2, (0, 0, 1), 1): (528, 853)
(3, 0, 2, (0, 0, 1), 2): (363, 509)
(3, 0, 2, (0, 0, 1), 3): (227, 296)
(3, 0, 2, (0, 0, 1), 4): (149, 173)
(3, 0, 2, (0, 0, 1), 5): (89, 99)
(3, 0, 2, (0, 0, 1), 6): (37, 44)
(3, 0, 2, (0, 0, 1), 7): (29, 31)
(3, 0, 2, (0, 0, 1), 8): (17, 18)
(3, 0, 2, (0, 0, 1), 9): (6, 6)
(3, 0, 2, (0, 0, 1), 10): (4, 5)
(3, 0, 2, (0, 0, 1), 11): (1, 1)
(3, 0, 2, (0, 1, 0), -12): (0, 2)
(3, 0, 2, (0, 1, 0), -11): (0, 3)
(3, 0, 2, (0, 1, 0), -10): (0, 4)
(3, 0, 2, (0, 1, 0), -9): (0, 8)
(3, 0, 2, (0, 1, 0), -8): (1, 10)
(3, 0, 2, (0, 1, 0), -7): (0, 24)
(3, 0, 2, (0, 1, 0), -6): (2, 48)
(3, 0, 2, (0, 1, 0), -5): (2, 87)
(3, 0, 2, (0, 1, 0), -4): (12, 146)
(3, 0, 2, (0, 1, 0), -3): (70, 413)
(3, 0, 2, (0, 1, 0), -2): (171, 716)
(3, 0, 2, (0, 1, 0), -1): (532, 1513)
(3, 0, 2, (0, 1, 0), 0): (1418, 3082)
(3, 0, 2, (0, 1, 0), 1): (1079, 1878)
(3, 0, 2, (0, 1, 0), 2): (843, 1224)
(3, 0, 2, (0, 1, 0), 3): (525, 686)
(3, 0, 2, (0, 1, 0), 4): (375, 420)
(3, 0, 2, (0, 1, 0), 5): (169, 200)
(3, 0, 2, (0, 1, 0), 6): (124, 131)
(3, 0, 2, (0, 1, 0), 7): (54, 58)
(3, 0, 2, (0, 1, 0), 8): (22, 22)
(3, 0, 2, (0, 1, 0), 9): (14, 15)
(3, 0, 2, (0, 1, 0), 10): (7, 7)
(3, 0, 2, (0, 1, 0), 11): (3, 3)
(3, 0, 2, (0, 1, 0), 12): (6, 6)
(3, 0, 2, (0, 1, 0), 13): (3, 3)
(3, 0, 2, (0, 1, 0), 14): (1, 1)
(3, 0, 2, (0, 1, 1), -14): (0, 1)
(3, 0, 2, (0, 1, 1), -11): (0, 2)
(3, 0, 2, (0, 1, 1), -9): (0, 1)
(3, 0, 2, (0, 1, 1), -8): (0, 1)
(3, 0, 2, (0, 1, 1), -7): (0, 6)
(3, 0, 2, (0, 1, 1), -6): (0, 12)
(3, 0, 2, (0, 1, 1), -5): (1, 17)
(3, 0, 2, (0, 1, 1), -4): (8, 42)
(3, 0, 2, (0, 1, 1), -3): (19, 80)
(3, 0, 2, (0, 1, 1), -2): (33, 125)
(3, 0, 2, (0, 1, 1), -1): (91, 258)
(3, 0, 2, (0, 1, 1), 0): (231, 501)
(3, 0, 2, (0, 1, 1), 1): (234, 381)
(3, 0, 2, (0, 1, 1), 2): (233, 314)
(3, 0, 2, (0, 1, 1), 3): (137, 175)
(3, 0, 2, (0, 1, 1), 4): (100, 126)
(3, 0, 2, (0, 1, 1), 5): (59, 68)
(3, 0, 2, (0, 1, 1), 6): (62, 65)
(3, 0, 2, (0, 1, 1), 7): (15, 15)
(3, 0, 2, (0, 1, 1), 8): (8, 8)
(3, 0, 2, (0, 1, 1), 9): (5, 5)
(3, 0, 2, (0, 1, 1), 10): (4, 4)
(3, 0, 2, (0, 1, 1), 11): (4, 4)
(3, 0, 2, (0, 1, 1), 12): (1, 1)
(3, 0, 2, (1, 0, 0), -15): (0, 1)
(3, 0, 2, (1, 0, 0), -12): (0, 2)
(3, 0, 2, (1, 0, 0), -11): (0, 2)
(3, 0, 2, (1, 0, 0), -10): (0, 5)
(3, 0, 2, (1, 0, 0), -9): (0, 17)
(3, 0, 2, (1, 0, 0), -8): (0, 18)
(3, 0, 2, (1, 0, 0), -7): (1, 59)
(3, 0, 2, (1, 0, 0), -6): (5, 110)
(3, 0, 2, (1, 0, 0), -5): (13, 196)
(3, 0, 2, (1, 0, 0), -4): (34, 364)
(3, 0, 2, (1, 0, 0), -3): (112, 736)
(3, 0, 2, (1, 0, 0), -2): (301, 1342)
(3, 0, 2, (1, 0, 0), -1): (790, 2428)
(3, 0, 2, (1, 0, 0), 0): (2227, 5073)
(3, 0, 2, (1, 0, 0), 1): (1805, 3163)
(3, 0, 2, (1, 0, 0), 2): (1300, 1914)
(3, 0, 2, (1, 0, 0), 3): (822, 1086)
(3, 0, 2, (1, 0, 0), 4): (534, 634)
(3, 0, 2, (1, 0, 0), 5): (296, 341)
(3, 0, 2, (1, 0, 0), 6): (165, 181)
(3, 0, 2, (1, 0, 0), 7): (97, 101)
(3, 0, 2, (1, 0, 0), 8): (50, 52)
(3, 0, 2, (1, 0, 0), 9): (26, 27)
(3, 0, 2, (1, 0, 0), 10): (8, 8)
(3, 0, 2, (1, 0, 0), 11): (5, 5)
(3, 0, 2, (1, 0, 0), 14): (1, 1)
(3, 0, 2, (1, 0, 1), -13): (0, 1)
(3, 0, 2, (1, 0, 1), -12): (0, 1)
(3, 0, 2, (1, 0, 1), -10): (0, 1)
(3, 0, 2, (1, 0, 1), -9): (0, 2)
(3, 0, 2, (1, 0, 1), -8): (0, 1)
(3, 0, 2, (1, 0, 1), -7): (1, 13)
(3, 0, 2, (1, 0, 1), -6): (2, 20)
(3, 0, 2, (1, 0, 1), -5): (4, 37)
(3, 0, 2, (1, 0, 1), -4): (14, 85)
(3, 0, 2, (1, 0, 1), -3): (27, 117)
(3, 0, 2, (1, 0, 1), -2): (63, 229)
(3, 0, 2, (1, 0, 1), -1): (148, 423)
(3, 0, 2, (1, 0, 1), 0): (444, 911)
(3, 0, 2, (1, 0, 1), 1): (453, 723)
(3, 0, 2, (1, 0, 1), 2): (386, 539)
(3, 0, 2, (1, 0, 1), 3): (232, 303)
(3, 0, 2, (1, 0, 1), 4): (148, 173)
(3, 0, 2, (1, 0, 1), 5): (109, 119)
(3, 0, 2, (1, 0, 1), 6): (45, 48)
(3, 0, 2, (1, 0, 1), 7): (38, 41)
(3, 0, 2, (1, 0, 1), 8): (18, 18)
(3, 0, 2, (1, 0, 1), 9): (8, 8)
(3, 0, 2, (1, 0, 1), 10): (4, 4)
(3, 0, 2, (1, 0, 1), 11): (1, 1)
(3, 0, 2, (1, 0, 1), 13): (1, 1)
(3, 0, 2, (1, 0, 1), 15): (1, 1)
(3, 0, 2, (1, 1, 0), -15): (0, 1)
(3, 0, 2, (1, 1, 0), -12): (0, 3)
(3, 0, 2, (1, 1, 0), -11): (0, 2)
(3, 0, 2, (1, 1, 0), -10): (0, 5)
(3, 0, 2, (1, 1, 0), -9): (0, 7)
(3, 0, 2, (1, 1, 0), -8): (0, 7)
(3, 0, 2, (1, 1, 0), -7): (1, 26)
(3, 0, 2, (1, 1, 0), -6): (2, 41)
(3, 0, 2, (1, 1, 0), -5): (5, 78)
(3, 0, 2, (1, 1, 0), -4): (9, 139)
(3, 0, 2, (1, 1, 0), -3): (46, 292)
(3, 0, 2, (1, 1, 0), -2): (133, 499)
(3, 0, 2, (1, 1, 0), -1): (344, 932)
(3, 0, 2, (1, 1, 0), 0): (825, 1796)
(3, 0, 2, (1, 1, 0), 1): (821, 1382)
(3, 0, 2, (1, 1, 0), 2): (630, 906)
(3, 0, 2, (1, 1, 0), 3): (454, 579)
(3, 0, 2, (1, 1, 0), 4): (322, 373)
(3, 0, 2, (1, 1, 0), 5): (166, 189)
(3, 0, 2, (1, 1, 0), 6): (108, 116)
(3, 0, 2, (1, 1, 0), 7): (57, 59)
(3, 0, 2, (1, 1, 0), 8): (32, 33)
(3, 0, 2, (1, 1, 0), 9): (13, 14)
(3, 0, 2, (1, 1, 0), 10): (6, 6)
(3, 0, 2, (1, 1, 0), 11): (2, 2)
(3, 0, 2, (1, 1, 0), 12): (2, 3)
(3, 0, 2, (1, 1, 0), 14): (1, 1)
(3, 0, 2, (1, 1, 1), -11): (0, 1)
(3, 0, 2, (1, 1, 1), -10): (0, 1)
(3, 0, 2, (1, 1, 1), -9): (0, 2)
(3, 0, 2, (1, 1, 1), -8): (1, 5)
(3, 0, 2, (1, 1, 1), -7): (0, 8)
(3, 0, 2, (1, 1, 1), -6): (0, 5)
(3, 0, 2, (1, 1, 1), -5): (2, 16)
(3, 0, 2, (1, 1, 1), -4): (5, 41)
(3, 0, 2, (1, 1, 1), -3): (13, 78)
(3, 0, 2, (1, 1, 1), -2): (43, 118)
(3, 0, 2, (1, 1, 1), -1): (112, 274)
(3, 0, 2, (1, 1, 1), 0): (256, 522)
(3, 0, 2, (1, 1, 1), 1): (248, 434)
(3, 0, 2, (1, 1, 1), 2): (263, 362)
(3, 0, 2, (1, 1, 1), 3): (169, 203)
(3, 0, 2, (1, 1, 1), 4): (117, 143)
(3, 0, 2, (1, 1, 1), 5): (55, 68)
(3, 0, 2, (1, 1, 1), 6): (40, 41)
(3, 0, 2, (1, 1, 1), 7): (20, 21)
(3, 0, 2, (1, 1, 1), 8): (12, 12)
(3, 0, 2, (1, 1, 1), 9): (3, 3)
(3, 0, 2, (1, 1, 1), 10): (2, 2)
(3, 0, 2, (1, 1, 1), 11): (2, 2)
(3, 1, 0, (0, 0, 0), -15): (0, 1)
(3, 1, 0, (0, 0, 0), -14): (0, 2)
(3, 1, 0, (0, 0, 0), -13): (0, 2)
(3, 1, 0, (0, 0, 0), -12): (1, 11)
(3, 1, 0, (0, 0, 0), -11): (0, 17)
(3, 1, 0, (0, 0, 0), -10): (1, 36)
(3, 1, 0, (0, 0, 0), -9): (2, 75)
(3, 1, 0, (0, 0, 0), -8): (4, 161)
(3, 1, 0, (0, 0, 0), -7): (12, 298)
(3, 1, 0, (0, 0, 0), -6): (52, 660)
(3, 1, 0, (0, 0, 0), -5): (156, 1137)
(3, 1, 0, (0, 0, 0), -4): (363, 2203)
(3, 1, 0, (0, 0, 0), -3): (929, 3678)
(3, 1, 0, (0, 0, 0), -2): (2042, 6087)
(3, 1, 0, (0, 0, 0), -1): (4508, 9915)
(3, 1, 0, (0, 0, 0), 0): (9980, 17240)
(3, 1, 0, (0, 0, 0), 1): (6058, 8578)
(3, 1, 0, (0, 0, 0), 2): (3737, 4677)
(3, 1, 0, (0, 0, 0), 3): (2276, 2627)
(3, 1, 0, (0, 0, 0), 4): (1259, 1351)
(3, 1, 0, (0, 0, 0), 5): (714, 755)
(3, 1, 0, (0, 0, 0), 6): (369, 383)
(3, 1, 0, (0, 0, 0), 7): (191, 194)
(3, 1, 0, (0, 0, 0), 8): (81, 83)
(3, 1, 0, (0, 0, 0), 9): (44, 44)
(3, 1, 0, (0, 0, 0), 10): (15, 15)
(3, 1, 0, (0, 0, 0), 11): (13, 13)
(3, 1, 0, (0, 0, 0), 12): (3, 3)
(3, 1, 0, (0, 0, 0), 13): (2, 2)
(3, 1, 0, (0, 0, 0), 15): (1, 1)
(3, 1, 0, (0, 0, 0), 16): (1, 1)
(3, 1, 0, (0, 0, 1), -10): (0, 1)
(3, 1, 0, (0, 0, 1), -8): (1, 5)
(3, 1, 0, (0, 0, 1), -7): (0, 8)
(3, 1, 0, (0, 0, 1), -6): (3, 10)
(3, 1, 0, (0, 0, 1), -5): (4, 14)
(3, 1, 0, (0, 0, 1), -4): (7, 25)
(3, 1, 0, (0, 0, 1), -3): (17, 51)
(3, 1, 0, (0, 0, 1), -2): (27, 77)
(3, 1, 0, (0, 0, 1), -1): (74, 145)
(3, 1, 0, (0, 0, 1), 0): (159, 239)
(3, 1, 0, (0, 0, 1), 1): (127, 169)
(3, 1, 0, (0, 0, 1), 2): (110, 121)
(3, 1, 0, (0, 0, 1), 3): (63, 70)
(3, 1, 0, (0, 0, 1), 4): (25, 28)
(3, 1, 0, (0, 0, 1), 5): (11, 12)
(3, 1, 0, (0, 0, 1), 6): (12, 12)
(3, 1, 0, (0, 0, 1), 7): (6, 6)
(3, 1, 0, (0, 0, 1), 8): (2, 2)
(3, 1, 0, (0, 0, 1), 9): (1, 1)
(3, 1, 0, (0, 0, 1), 10): (1, 1)
(3, 1, 0, (0, 0, 1), 11): (1, 1)
(3, 1, 0, (0, 0, 1), 12): (1, 1)
(3, 1, 0, (0, 1, 0), -10): (0, 1)
(3, 1, 0, (0, 1, 0), -9): (0, 8)
(3, 1, 0, (0, 1, 0), -8): (0, 8)
(3, 1, 0, (0, 1, 0), -7): (0, 14)
(3, 1, 0, (0, 1, 0), -6): (3, 42)
(3, 1, 0, (0, 1, 0), -5): (18, 83)
(3, 1, 0, (0, 1, 0), -4): (30, 139)
(3, 1, 0, (0, 1, 0), -3): (68, 221)
(3, 1, 0, (0, 1, 0), -2): (169, 433)
(3, 1, 0, (0, 1, 0), -1): (381, 697)
(3, 1, 0, (0, 1, 0), 0): (758, 1144)
(3, 1, 0, (0, 1, 0), 1): (582, 741)
(3, 1, 0, (0, 1, 0), 2): (403, 469)
(3, 1, 0, (0, 1, 0), 3): (254, 286)
(3, 1, 0, (0, 1, 0), 4): (121, 129)
(3, 1, 0, (0, 1, 0), 5): (86, 87)
(3, 1, 0, (0, 1, 0), 6): (32, 34)
(3, 1, 0, (0, 1, 0), 7): (19, 20)
(3, 1, 0, (0, 1, 0), 8): (8, 8)
(3, 1, 0, (0, 1, 0), 9): (7, 7)
(3, 1, 0, (0, 1, 0), 10): (2, 2)
(3, 1, 0, (0, 1, 0), 11): (2, 2)
(3, 1, 0, (0, 1, 0), 12): (1, 1)
(3, 1, 0, (0, 1, 1), -8): (0, 2)
(3, 1, 0, (0, 1, 1), -7): (0, 1)
(3, 1, 0, (0, 1, 1), -6): (2, 8)
(3, 1, 0, (0, 1, 1), -5): (2, 12)
(3, 1, 0, (0, 1, 1), -4): (8, 29)
(3, 1, 0, (0, 1, 1), -3): (15, 35)
(3, 1, 0, (0, 1, 1), -2): (51, 81)
(3, 1, 0, (0, 1, 1), -1): (75, 106)
(3, 1, 0, (0, 1, 1), 0): (138, 177)
(3, 1, 0, (0, 1, 1), 1): (148, 173)
(3, 1, 0, (0, 1, 1), 2): (112, 122)
(3, 1, 0, (0, 1, 1), 3): (81, 87)
(3, 1, 0, (0, 1, 1), 4): (38, 39)
(3, 1, 0, (0, 1, 1), 5): (20, 20)
(3, 1, 0, (0, 1, 1), 6): (10, 10)
(3, 1, 0, (0, 1, 1), 7): (5, 5)
(3, 1, 0, (0, 1, 1), 8): (1, 1)
(3, 1, 0, (0, 1, 1), 9): (2, 2)
(3, 1, 0, (0, 1, 1), 11): (2, 2)
(3, 1, 0, (1, 0, 0), -14): (0, 1)
(3, 1, 0, (1, 0, 0), -12): (0, 2)
(3, 1, 0, (1, 0, 0), -11): (0, 4)
(3, 1, 0, (1, 0, 0), -10): (1, 8)
(3, 1, 0, (1, 0, 0), -9): (2, 17)
(3, 1, 0, (1, 0, 0), -8): (1, 32)
(3, 1, 0, (1, 0, 0), -7): (7, 93)
(3, 1, 0, (1, 0, 0), -6): (18, 159)
(3, 1, 0, (1, 0, 0), -5): (57, 301)
(3, 1, 0, (1, 0, 0), -4): (129, 554)
(3, 1, 0, (1, 0, 0), -3): (258, 912)
(3, 1, 0, (1, 0, 0), -2): (583, 1534)
(3, 1, 0, (1, 0, 0), -1): (1215, 2424)
(3, 1, 0, (1, 0, 0), 0): (2649, 4241)
(3, 1, 0, (1, 0, 0), 1): (1604, 2180)
(3, 1, 0, (1, 0, 0), 2): (1083, 1307)
(3, 1, 0, (1, 0, 0), 3): (666, 759)
(3, 1, 0, (1, 0, 0), 4): (348, 365)
(3, 1, 0, (1, 0, 0), 5): (187, 199)
(3, 1, 0, (1, 0, 0), 6): (87, 92)
(3, 1, 0, (1, 0, 0), 7): (59, 59)
(3, 1, 0, (1, 0, 0), 8): (22, 22)
(3, 1, 0, (1, 0, 0), 9): (13, 13)
(3, 1, 0, (1, 0, 0), 10): (7, 7)
(3, 1, 0, (1, 0, 0), 11): (3, 3)
(3, 1, 0, (1, 0, 0), 12): (1, 1)
(3, 1, 0, (1, 0, 0), 13): (1, 1)
(3, 1, 0, (1, 0, 1), -8): (1, 1)
(3, 1, 0, (1, 0, 1), -7): (0, 8)
(3, 1, 0, (1, 0, 1), -6): (2, 8)
(3, 1, 0, (1, 0, 1), -5): (7, 20)
(3, 1, 0, (1, 0, 1), -4): (11, 49)
(3, 1, 0, (1, 0, 1), -3): (26, 80)
(3, 1, 0, (1, 0, 1), -2): (65, 132)
(3, 1, 0, (1, 0, 1), -1): (147, 234)
(3, 1, 0, (1, 0, 1), 0): (255, 346)
(3, 1, 0, (1, 0, 1), 1): (226, 277)
(3, 1, 0, (1, 0, 1), 2): (156, 178)
(3, 1, 0, (1, 0, 1), 3): (91, 95)
(3, 1, 0, (1, 0, 1), 4): (48, 50)
(3, 1, 0, (1, 0, 1), 5): (20, 20)
(3, 1, 0, (1, 0, 1), 6): (9, 10)
(3, 1, 0, (1, 0, 1), 7): (5, 5)
(3, 1, 0, (1, 0, 1), 8): (2, 2)
(3, 1, 0, (1, 0, 1), 9): (2, 2)
(3, 1, 0, (1, 0, 1), 10): (1, 1)
(3, 1, 0, (1, 0, 1), 12): (1, 1)
(3, 1, 0, (1, 1, 0), -11): (0, 1)
(3, 1, 0, (1, 1, 0), -9): (0, 6)
(3, 1, 0, (1, 1, 0), -8): (0, 9)
(3, 1, 0, (1, 1, 0), -7): (5, 23)
(3, 1, 0, (1, 1, 0), -6): (4, 35)
(3, 1, 0, (1, 1, 0), -5): (23, 87)
(3, 1, 0, (1, 1, 0), -4): (43, 140)
(3, 1, 0, (1, 1, 0), -3): (73, 220)
(3, 1, 0, (1, 1, 0), -2): (151, 356)
(3, 1, 0, (1, 1, 0), -1): (261, 461)
(3, 1, 0, (1, 1, 0), 0): (556, 802)
(3, 1, 0, (1, 1, 0), 1): (398, 512)
(3, 1, 0, (1, 1, 0), 2): (287, 334)
(3, 1, 0, (1, 1, 0), 3): (204, 228)
(3, 1, 0, (1, 1, 0), 4): (99, 103)
(3, 1, 0, (1, 1, 0), 5): (64, 64)
(3, 1, 0, (1, 1, 0), 6): (29, 30)
(3, 1, 0, (1, 1, 0), 7): (15, 16)
(3, 1, 0, (1, 1, 0), 8): (9, 9)
(3, 1, 0, (1, 1, 0), 9): (5, 5)
(3, 1, 0, (1, 1, 0), 10): (2, 2)
(3, 1, 0, (1, 1, 1), -11): (0, 1)
(3, 1, 0, (1, 1, 1), -10): (0, 1)
(3, 1, 0, (1, 1, 1), -9): (0, 2)
(3, 1, 0, (1, 1, 1), -8): (0, 1)
(3, 1, 0, (1, 1, 1), -7): (1, 2)
(3, 1, 0, (1, 1, 1), -6): (1, 8)
(3, 1, 0, (1, 1, 1), -5): (6, 17)
(3, 1, 0, (1, 1, 1), -4): (18, 32)
(3, 1, 0, (1, 1, 1), -3): (24, 43)
(3, 1, 0, (1, 1, 1), -2): (46, 82)
(3, 1, 0, (1, 1, 1), -1): (74, 120)
(3, 1, 0, (1, 1, 1), 0): (116, 150)
(3, 1, 0, (1, 1, 1), 1): (128, 155)
(3, 1, 0, (1, 1, 1), 2): (93, 104)
(3, 1, 0, (1, 1, 1), 3): (73, 79)
(3, 1, 0, (1, 1, 1), 4): (32, 33)
(3, 1, 0, (1, 1, 1), 5): (22, 22)
(3, 1, 0, (1, 1, 1), 6): (11, 11)
(3, 1, 0, (1, 1, 1), 7): (6, 6)
(3, 1, 0, (1, 1, 1), 8): (2, 2)
(3, 1, 0, (1, 1, 1), 9): (2, 2)
(3, 1, 0, (1, 1, 1), 11): (1, 1)
(3, 1, 1, (0, 0, 0), -15): (0, 1)
(3, 1, 1, (0, 0, 0), -14): (0, 1)
(3, 1, 1, (0, 0, 0), -13): (0, 2)
(3, 1, 1, (0, 0, 0), -12): (1, 9)
(3, 1, 1, (0, 0, 0), -11): (0, 13)
(3, 1, 1, (0, 0, 0), -10): (0, 27)
(3, 1, 1, (0, 0, 0), -9): (0, 52)
(3, 1, 1, (0, 0, 0), -8): (4, 123)
(3, 1, 1, (0, 0, 0), -7): (4, 187)
(3, 1, 1, (0, 0, 0), -6): (30, 456)
(3, 1, 1, (0, 0, 0), -5): (83, 770)
(3, 1, 1, (0, 0, 0), -4): (207, 1533)
(3, 1, 1, (0, 0, 0), -3): (608, 2581)
(3, 1, 1, (0, 0, 0), -2): (1334, 4294)
(3, 1, 1, (0, 0, 0), -1): (3030, 7064)
(3, 1, 1, (0, 0, 0), 0): (6855, 12405)
(3, 1, 1, (0, 0, 0), 1): (4332, 6345)
(3, 1, 1, (0, 0, 0), 2): (2762, 3540)
(3, 1, 1, (0, 0, 0), 3): (1770, 2055)
(3, 1, 1, (0, 0, 0), 4): (1032, 1119)
(3, 1, 1, (0, 0, 0), 5): (617, 653)
(3, 1, 1, (0, 0, 0), 6): (321, 332)
(3, 1, 1, (0, 0, 0), 7): (156, 159)
(3, 1, 1, (0, 0, 0), 8): (82, 84)
(3, 1, 1, (0, 0, 0), 9): (36, 36)
(3, 1, 1, (0, 0, 0), 10): (12, 12)
(3, 1, 1, (0, 0, 0), 11): (12, 12)
(3, 1, 1, (0, 0, 0), 12): (3, 3)
(3, 1, 1, (0, 0, 0), 13): (2, 2)
(3, 1, 1, (0, 0, 0), 16): (1, 1)
(3, 1, 1, (0, 0, 1), -10): (0, 1)
(3, 1, 1, (0, 0, 1), -9): (0, 1)
(3, 1, 1, (0, 0, 1), -8): (0, 7)
(3, 1, 1, (0, 0, 1), -7): (0, 7)
(3, 1, 1, (0, 0, 1), -6): (1, 27)
(3, 1, 1, (0, 0, 1), -5): (10, 41)
(3, 1, 1, (0, 0, 1), -4): (15, 62)
(3, 1, 1, (0, 0, 1), -3): (43, 139)
(3, 1, 1, (0, 0, 1), -2): (110, 268)
(3, 1, 1, (0, 0, 1), -1): (208, 404)
(3, 1, 1, (0, 0, 1), 0): (521, 804)
(3, 1, 1, (0, 0, 1), 1): (416, 564)
(3, 1, 1, (0, 0, 1), 2): (307, 361)
(3, 1, 1, (0, 0, 1), 3): (185, 213)
(3, 1, 1, (0, 0, 1), 4): (89, 95)
(3, 1, 1, (0, 0, 1), 5): (56, 56)
(3, 1, 1, (0, 0, 1), 6): (32, 33)
(3, 1, 1, (0, 0, 1), 7): (11, 11)
(3, 1, 1, (0, 0, 1), 8): (6, 6)
(3, 1, 1, (0, 0, 1), 9): (1, 1)
(3, 1, 1, (0, 0, 1), 10): (4, 4)
(3, 1, 1, (0, 0, 1), 11): (3, 3)
(3, 1, 1, (0, 0, 1), 12): (1, 1)
(3, 1, 1, (0, 1, 0), -12): (0, 1)
(3, 1, 1, (0, 1, 0), -10): (1, 4)
(3, 1, 1, (0, 1, 0), -9): (0, 7)
(3, 1, 1, (0, 1, 0), -8): (0, 7)
(3, 1, 1, (0, 1, 0), -7): (1, 30)
(3, 1, 1, (0, 1, 0), -6): (8, 64)
(3, 1, 1, (0, 1, 0), -5): (15, 110)
(3, 1, 1, (0, 1, 0), -4): (50, 243)
(3, 1, 1, (0, 1, 0), -3): (124, 422)
(3, 1, 1, (0, 1, 0), -2): (268, 755)
(3, 1, 1, (0, 1, 0), -1): (652, 1342)
(3, 1, 1, (0, 1, 0), 0): (1471, 2404)
(3, 1, 1, (0, 1, 0), 1): (1070, 1465)
(3, 1, 1, (0, 1, 0), 2): (730, 922)
(3, 1, 1, (0, 1, 0), 3): (477, 548)
(3, 1, 1, (0, 1, 0), 4): (256, 280)
(3, 1, 1, (0, 1, 0), 5): (159, 169)
(3, 1, 1, (0, 1, 0), 6): (82, 84)
(3, 1, 1, (0, 1, 0), 7): (38, 39)
(3, 1, 1, (0, 1, 0), 8): (21, 22)
(3, 1, 1, (0, 1, 0), 9): (9, 9)
(3, 1, 1, (0, 1, 0), 10): (6, 6)
(3, 1, 1, (0, 1, 0), 11): (5, 5)
(3, 1, 1, (0, 1, 0), 13): (2, 2)
(3, 1, 1, (0, 1, 1), -11): (0, 1)
(3, 1, 1, (0, 1, 1), -10): (0, 1)
(3, 1, 1, (0, 1, 1), -9): (0, 3)
(3, 1, 1, (0, 1, 1), -8): (0, 3)
(3, 1, 1, (0, 1, 1), -7): (1, 10)
(3, 1, 1, (0, 1, 1), -6): (3, 17)
(3, 1, 1, (0, 1, 1), -5): (6, 23)
(3, 1, 1, (0, 1, 1), -4): (15, 66)
(3, 1, 1, (0, 1, 1), -3): (37, 102)
(3, 1, 1, (0, 1, 1), -2): (94, 208)
(3, 1, 1, (0, 1, 1), -1): (167, 297)
(3, 1, 1, (0, 1, 1), 0): (375, 574)
(3, 1, 1, (0, 1, 1), 1): (317, 390)
(3, 1, 1, (0, 1, 1), 2): (240, 276)
(3, 1, 1, (0, 1, 1), 3): (160, 176)
(3, 1, 1, (0, 1, 1), 4): (84, 93)
(3, 1, 1, (0, 1, 1), 5): (52, 53)
(3, 1, 1, (0, 1, 1), 6): (27, 27)
(3, 1, 1, (0, 1, 1), 7): (22, 23)
(3, 1, 1, (0, 1, 1), 8): (7, 7)
(3, 1, 1, (0, 1, 1), 9): (3, 3)
(3, 1, 1, (0, 1, 1), 10): (4, 4)
(3, 1, 1, (0, 1, 1), 11): (3, 3)
(3, 1, 1, (0, 1, 1), 13): (1, 1)
(3, 1, 1, (1, 0, 0), -14): (0, 1)
(3, 1, 1, (1, 0, 0), -13): (0, 1)
(3, 1, 1, (1, 0, 0), -12): (0, 5)
(3, 1, 1, (1, 0, 0), -11): (0, 8)
(3, 1, 1, (1, 0, 0), -10): (1, 12)
(3, 1, 1, (1, 0, 0), -9): (1, 13)
(3, 1, 1, (1, 0, 0), -8): (1, 42)
(3, 1, 1, (1, 0, 0), -7): (3, 89)
(3, 1, 1, (1, 0, 0), -6): (17, 199)
(3, 1, 1, (1, 0, 0), -5): (42, 332)
(3, 1, 1, (1, 0, 0), -4): (96, 595)
(3, 1, 1, (1, 0, 0), -3): (262, 1015)
(3, 1, 1, (1, 0, 0), -2): (575, 1672)
(3, 1, 1, (1, 0, 0), -1): (1232, 2691)
(3, 1, 1, (1, 0, 0), 0): (2752, 4709)
(3, 1, 1, (1, 0, 0), 1): (2009, 2749)
(3, 1, 1, (1, 0, 0), 2): (1293, 1634)
(3, 1, 1, (1, 0, 0), 3): (859, 990)
(3, 1, 1, (1, 0, 0), 4): (494, 531)
(3, 1, 1, (1, 0, 0), 5): (268, 292)
(3, 1, 1, (1, 0, 0), 6): (129, 134)
(3, 1, 1, (1, 0, 0), 7): (74, 74)
(3, 1, 1, (1, 0, 0), 8): (45, 45)
(3, 1, 1, (1, 0, 0), 9): (23, 23)
(3, 1, 1, (1, 0, 0), 10): (7, 7)
(3, 1, 1, (1, 0, 0), 11): (5, 5)
(3, 1, 1, (1, 0, 0), 12): (4, 4)
(3, 1, 1, (1, 0, 0), 13): (2, 2)
(3, 1, 1, (1, 0, 0), 14): (1, 1)
(3, 1, 1, (1, 0, 1), -12): (0, 1)
(3, 1, 1, (1, 0, 1), -9): (1, 2)
(3, 1, 1, (1, 0, 1), -8): (1, 6)
(3, 1, 1, (1, 0, 1), -7): (1, 14)
(3, 1, 1, (1, 0, 1), -6): (4, 30)
(3, 1, 1, (1, 0, 1), -5): (11, 41)
(3, 1, 1, (1, 0, 1), -4): (24, 85)
(3, 1, 1, (1, 0, 1), -3): (43, 165)
(3, 1, 1, (1, 0, 1), -2): (117, 255)
(3, 1, 1, (1, 0, 1), -1): (245, 430)
(3, 1, 1, (1, 0, 1), 0): (514, 755)
(3, 1, 1, (1, 0, 1), 1): (492, 625)
(3, 1, 1, (1, 0, 1), 2): (326, 386)
(3, 1, 1, (1, 0, 1), 3): (211, 237)
(3, 1, 1, (1, 0, 1), 4): (124, 133)
(3, 1, 1, (1, 0, 1), 5): (74, 77)
(3, 1, 1, (1, 0, 1), 6): (28, 29)
(3, 1, 1, (1, 0, 1), 7): (17, 17)
(3, 1, 1, (1, 0, 1), 8): (6, 6)
(3, 1, 1, (1, 0, 1), 9): (5, 5)
(3, 1, 1, (1, 0, 1), 10): (0, 1)
(3, 1, 1, (1, 0, 1), 11): (2, 2)
(3, 1, 1, (1, 1, 0), -13): (0, 1)
(3, 1, 1, (1, 1, 0), -12): (0, 2)
(3, 1, 1, (1, 1, 0), -11): (0, 2)
(3, 1, 1, (1, 1, 0), -10): (0, 3)
(3, 1, 1, (1, 1, 0), -9): (0, 5)
(3, 1, 1, (1, 1, 0), -8): (0, 19)
(3, 1, 1, (1, 1, 0), -7): (3, 28)
(3, 1, 1, (1, 1, 0), -6): (3, 55)
(3, 1, 1, (1, 1, 0), -5): (22, 112)
(3, 1, 1, (1, 1, 0), -4): (44, 209)
(3, 1, 1, (1, 1, 0), -3): (92, 308)
(3, 1, 1, (1, 1, 0), -2): (231, 556)
(3, 1, 1, (1, 1, 0), -1): (445, 841)
(3, 1, 1, (1, 1, 0), 0): (895, 1375)
(3, 1, 1, (1, 1, 0), 1): (757, 998)
(3, 1, 1, (1, 1, 0), 2): (571, 680)
(3, 1, 1, (1, 1, 0), 3): (386, 430)
(3, 1, 1, (1, 1, 0), 4): (226, 240)
(3, 1, 1, (1, 1, 0), 5): (127, 134)
(3, 1, 1, (1, 1, 0), 6): (72, 74)
(3, 1, 1, (1, 1, 0), 7): (20, 21)
(3, 1, 1, (1, 1, 0), 8): (17, 17)
(3, 1, 1, (1, 1, 0), 9): (12, 12)
(3, 1, 1, (1, 1, 0), 10): (5, 5)
(3, 1, 1, (1, 1, 0), 11): (3, 3)
(3, 1, 1, (1, 1, 0), 12): (2, 2)
(3, 1, 1, (1, 1, 0), 13): (1, 1)
(3, 1, 1, (1, 1, 0), 14): (1, 1)
(3, 1, 1, (1, 1, 1), -10): (0, 2)
(3, 1, 1, (1, 1, 1), -9): (0, 4)
(3, 1, 1, (1, 1, 1), -8): (0, 3)
(3, 1, 1, (1, 1, 1), -7): (0, 6)
(3, 1, 1, (1, 1, 1), -6): (1, 14)
(3, 1, 1, (1, 1, 1), -5): (5, 29)
(3, 1, 1, (1, 1, 1), -4): (22, 66)
(3, 1, 1, (1, 1, 1), -3): (30, 80)
(3, 1, 1, (1, 1, 1), -2): (75, 150)
(3, 1, 1, (1, 1, 1), -1): (160, 257)
(3, 1, 1, (1, 1, 1), 0): (313, 438)
(3, 1, 1, (1, 1, 1), 1): (318, 392)
(3, 1, 1, (1, 1, 1), 2): (257, 300)
(3, 1, 1, (1, 1, 1), 3): (177, 196)
(3, 1, 1, (1, 1, 1), 4): (97, 100)
(3, 1, 1, (1, 1, 1), 5): (57, 60)
(3, 1, 1, (1, 1, 1), 6): (26, 26)
(3, 1, 1, (1, 1, 1), 7): (15, 16)
(3, 1, 1, (1, 1, 1), 8): (6, 7)
(3, 1, 1, (1, 1, 1), 9): (3, 3)
(3, 1, 1, (1, 1, 1), 10): (1, 1)
(3, 1, 1, (1, 1, 1), 12): (1, 1)
(3, 1, 1, (1, 1, 1), 13): (1, 1)
(3, 1, 2, (0, 0, 0), -15): (0, 1)
(3, 1, 2, (0, 0, 0), -14): (0, 1)
(3, 1, 2, (0, 0, 0), -13): (0, 1)
(3, 1, 2, (0, 0, 0), -12): (1, 5)
(3, 1, 2, (0, 0, 0), -11): (0, 8)
(3, 1, 2, (0, 0, 0), -10): (0, 21)
(3, 1, 2, (0, 0, 0), -9): (0, 45)
(3, 1, 2, (0, 0, 0), -8): (3, 93)
(3, 1, 2, (0, 0, 0), -7): (1, 151)
(3, 1, 2, (0, 0, 0), -6): (16, 325)
(3, 1, 2, (0, 0, 0), -5): (62, 582)
(3, 1, 2, (0, 0, 0), -4): (150, 1182)
(3, 1, 2, (0, 0, 0), -3): (436, 1964)
(3, 1, 2, (0, 0, 0), -2): (979, 3341)
(3, 1, 2, (0, 0, 0), -1): (2251, 5484)
(3, 1, 2, (0, 0, 0), 0): (5086, 9490)
(3, 1, 2, (0, 0, 0), 1): (3398, 5130)
(3, 1, 2, (0, 0, 0), 2): (2346, 3031)
(3, 1, 2, (0, 0, 0), 3): (1637, 1921)
(3, 1, 2, (0, 0, 0), 4): (1022, 1116)
(3, 1, 2, (0, 0, 0), 5): (616, 657)
(3, 1, 2, (0, 0, 0), 6): (306, 318)
(3, 1, 2, (0, 0, 0), 7): (163, 169)
(3, 1, 2, (0, 0, 0), 8): (71, 72)
(3, 1, 2, (0, 0, 0), 9): (44, 44)
(3, 1, 2, (0, 0, 0), 10): (20, 20)
(3, 1, 2, (0, 0, 0), 11): (10, 10)
(3, 1, 2, (0, 0, 0), 12): (3, 3)
(3, 1, 2, (0, 0, 0), 13): (2, 2)
(3, 1, 2, (0, 0, 0), 14): (1, 1)
(3, 1, 2, (0, 0, 0), 15): (1, 1)
(3, 1, 2, (0, 0, 0), 16): (1, 1)
(3, 1, 2, (0, 0, 1), -10): (0, 1)
(3, 1, 2, (0, 0, 1), -9): (0, 3)
(3, 1, 2, (0, 0, 1), -8): (0, 9)
(3, 1, 2, (0, 0, 1), -7): (0, 15)
(3, 1, 2, (0, 0, 1), -6): (2, 27)
(3, 1, 2, (0, 0, 1), -5): (6, 49)
(3, 1, 2, (0, 0, 1), -4): (15, 105)
(3, 1, 2, (0, 0, 1), -3): (47, 183)
(3, 1, 2, (0, 0, 1), -2): (113, 341)
(3, 1, 2, (0, 0, 1), -1): (255, 606)
(3, 1, 2, (0, 0, 1), 0): (632, 1112)
(3, 1, 2, (0, 0, 1), 1): (501, 777)
(3, 1, 2, (0, 0, 1), 2): (421, 540)
(3, 1, 2, (0, 0, 1), 3): (283, 326)
(3, 1, 2, (0, 0, 1), 4): (160, 177)
(3, 1, 2, (0, 0, 1), 5): (123, 131)
(3, 1, 2, (0, 0, 1), 6): (66, 69)
(3, 1, 2, (0, 0, 1), 7): (31, 33)
(3, 1, 2, (0, 0, 1), 8): (10, 11)
(3, 1, 2, (0, 0, 1), 9): (5, 5)
(3, 1, 2, (0, 0, 1), 10): (7, 7)
(3, 1, 2, (0, 0, 1), 11): (4, 4)
(3, 1, 2, (0, 0, 1), 12): (1, 1)
(3, 1, 2, (0, 1, 0), -12): (0, 1)
(3, 1, 2, (0, 1, 0), -11): (0, 1)
(3, 1, 2, (0, 1, 0), -10): (0, 4)
(3, 1, 2, (0, 1, 0), -9): (0, 9)
(3, 1, 2, (0, 1, 0), -8): (0, 16)
(3, 1, 2, (0, 1, 0), -7): (1, 37)
(3, 1, 2, (0, 1, 0), -6): (13, 80)
(3, 1, 2, (0, 1, 0), -5): (20, 154)
(3, 1, 2, (0, 1, 0), -4): (40, 278)
(3, 1, 2, (0, 1, 0), -3): (125, 497)
(3, 1, 2, (0, 1, 0), -2): (251, 876)
(3, 1, 2, (0, 1, 0), -1): (678, 1582)
(3, 1, 2, (0, 1, 0), 0): (1546, 2732)
(3, 1, 2, (0, 1, 0), 1): (1323, 1921)
(3, 1, 2, (0, 1, 0), 2): (914, 1184)
(3, 1, 2, (0, 1, 0), 3): (624, 744)
(3, 1, 2, (0, 1, 0), 4): (430, 471)
(3, 1, 2, (0, 1, 0), 5): (255, 279)
(3, 1, 2, (0, 1, 0), 6): (149, 151)
(3, 1, 2, (0, 1, 0), 7): (68, 72)
(3, 1, 2, (0, 1, 0), 8): (41, 41)
(3, 1, 2, (0, 1, 0), 9): (17, 17)
(3, 1, 2, (0, 1, 0), 10): (5, 5)
(3, 1, 2, (0, 1, 0), 11): (8, 8)
(3, 1, 2, (0, 1, 0), 12): (3, 3)
(3, 1, 2, (0, 1, 0), 13): (2, 2)
(3, 1, 2, (0, 1, 0), 14): (1, 1)
(3, 1, 2, (0, 1, 1), -13): (0, 1)
(3, 1, 2, (0, 1, 1), -12): (0, 1)
(3, 1, 2, (0, 1, 1), -10): (0, 2)
(3, 1, 2, (0, 1, 1), -8): (0, 3)
(3, 1, 2, (0, 1, 1), -7): (0, 6)
(3, 1, 2, (0, 1, 1), -6): (2, 13)
(3, 1, 2, (0, 1, 1), -5): (5, 25)
(3, 1, 2, (0, 1, 1), -4): (6, 53)
(3, 1, 2, (0, 1, 1), -3): (19, 98)
(3, 1, 2, (0, 1, 1), -2): (77, 175)
(3, 1, 2, (0, 1, 1), -1): (119, 284)
(3, 1, 2, (0, 1, 1), 0): (259, 442)
(3, 1, 2, (0, 1, 1), 1): (288, 387)
(3, 1, 2, (0, 1, 1), 2): (230, 281)
(3, 1, 2, (0, 1, 1), 3): (166, 184)
(3, 1, 2, (0, 1, 1), 4): (114, 122)
(3, 1, 2, (0, 1, 1), 5): (77, 81)
(3, 1, 2, (0, 1, 1), 6): (37, 41)
(3, 1, 2, (0, 1, 1), 7): (34, 35)
(3, 1, 2, (0, 1, 1), 8): (11, 11)
(3, 1, 2, (0, 1, 1), 9): (9, 9)
(3, 1, 2, (0, 1, 1), 10): (5, 5)
(3, 1, 2, (0, 1, 1), 11): (1, 1)
(3, 1, 2, (1, 0, 0), -12): (1, 4)
(3, 1, 2, (1, 0, 0), -11): (0, 6)
(3, 1, 2, (1, 0, 0), -10): (0, 9)
(3, 1, 2, (1, 0, 0), -9): (0, 21)
(3, 1, 2, (1, 0, 0), -8): (1, 34)
(3, 1, 2, (1, 0, 0), -7): (1, 84)
(3, 1, 2, (1, 0, 0), -6): (10, 179)
(3, 1, 2, (1, 0, 0), -5): (31, 330)
(3, 1, 2, (1, 0, 0), -4): (89, 600)
(3, 1, 2, (1, 0, 0), -3): (237, 992)
(3, 1, 2, (1, 0, 0), -2): (475, 1570)
(3, 1, 2, (1, 0, 0), -1): (1079, 2558)
(3, 1, 2, (1, 0, 0), 0): (2398, 4441)
(3, 1, 2, (1, 0, 0), 1): (1980, 2943)
(3, 1, 2, (1, 0, 0), 2): (1438, 1843)
(3, 1, 2, (1, 0, 0), 3): (1010, 1188)
(3, 1, 2, (1, 0, 0), 4): (653, 703)
(3, 1, 2, (1, 0, 0), 5): (362, 387)
(3, 1, 2, (1, 0, 0), 6): (185, 194)
(3, 1, 2, (1, 0, 0), 7): (120, 122)
(3, 1, 2, (1, 0, 0), 8): (59, 60)
(3, 1, 2, (1, 0, 0), 9): (31, 32)
(3, 1, 2, (1, 0, 0), 10): (12, 12)
(3, 1, 2, (1, 0, 0), 11): (6, 6)
(3, 1, 2, (1, 0, 0), 12): (5, 5)
(3, 1, 2, (1, 0, 0), 13): (1, 1)
(3, 1, 2, (1, 0, 0), 14): (1, 1)
(3, 1, 2, (1, 0, 0), 16): (1, 1)
(3, 1, 2, (1, 0, 1), -12): (0, 1)
(3, 1, 2, (1, 0, 1), -10): (0, 1)
(3, 1, 2, (1, 0, 1), -9): (0, 1)
(3, 1, 2, (1, 0, 1), -8): (0, 13)
(3, 1, 2, (1, 0, 1), -7): (0, 15)
(3, 1, 2, (1, 0, 1), -6): (0, 31)
(3, 1, 2, (1, 0, 1), -5): (5, 48)
(3, 1, 2, (1, 0, 1), -4): (17, 93)
(3, 1, 2, (1, 0, 1), -3): (41, 167)
(3, 1, 2, (1, 0, 1), -2): (106, 334)
(3, 1, 2, (1, 0, 1), -1): (213, 483)
(3, 1, 2, (1, 0, 1), 0): (511, 857)
(3, 1, 2, (1, 0, 1), 1): (484, 703)
(3, 1, 2, (1, 0, 1), 2): (402, 487)
(3, 1, 2, (1, 0, 1), 3): (291, 330)
(3, 1, 2, (1, 0, 1), 4): (210, 225)
(3, 1, 2, (1, 0, 1), 5): (126, 129)
(3, 1, 2, (1, 0, 1), 6): (54, 54)
(3, 1, 2, (1, 0, 1), 7): (30, 32)
(3, 1, 2, (1, 0, 1), 8): (13, 13)
(3, 1, 2, (1, 0, 1), 9): (11, 11)
(3, 1, 2, (1, 0, 1), 10): (2, 3)
(3, 1, 2, (1, 0, 1), 11): (1, 1)
(3, 1, 2, (1, 0, 1), 12): (3, 3)
(3, 1, 2, (1, 1, 0), -12): (0, 2)
(3, 1, 2, (1, 1, 0), -11): (0, 1)
(3, 1, 2, (1, 1, 0), -10): (0, 4)
(3, 1, 2, (1, 1, 0), -9): (0, 3)
(3, 1, 2, (1, 1, 0), -8): (1, 19)
(3, 1, 2, (1, 1, 0), -7): (1, 34)
(3, 1, 2, (1, 1, 0), -6): (5, 61)
(3, 1, 2, (1, 1, 0), -5): (13, 108)
(3, 1, 2, (1, 1, 0), -4): (42, 229)
(3, 1, 2, (1, 1, 0), -3): (86, 362)
(3, 1, 2, (1, 1, 0), -2): (193, 594)
(3, 1, 2, (1, 1, 0), -1): (452, 994)
(3, 1, 2, (1, 1, 0), 0): (980, 1686)
(3, 1, 2, (1, 1, 0), 1): (956, 1368)
(3, 1, 2, (1, 1, 0), 2): (751, 945)
(3, 1, 2, (1, 1, 0), 3): (555, 636)
(3, 1, 2, (1, 1, 0), 4): (358, 393)
(3, 1, 2, (1, 1, 0), 5): (206, 222)
(3, 1, 2, (1, 1, 0), 6): (101, 101)
(3, 1, 2, (1, 1, 0), 7): (73, 75)
(3, 1, 2, (1, 1, 0), 8): (41, 41)
(3, 1, 2, (1, 1, 0), 9): (21, 21)
(3, 1, 2, (1, 1, 0), 10): (10, 10)
(3, 1, 2, (1, 1, 0), 11): (4, 5)
(3, 1, 2, (1, 1, 0), 12): (1, 1)
(3, 1, 2, (1, 1, 0), 13): (1, 1)
(3, 1, 2, (1, 1, 0), 14): (2, 2)
(3, 1, 2, (1, 1, 1), -12): (0, 2)
(3, 1, 2, (1, 1, 1), -10): (0, 2)
(3, 1, 2, (1, 1, 1), -8): (0, 5)
(3, 1, 2, (1, 1, 1), -7): (1, 11)
(3, 1, 2, (1, 1, 1), -6): (3, 22)
(3, 1, 2, (1, 1, 1), -5): (5, 24)
(3, 1, 2, (1, 1, 1), -4): (14, 64)
(3, 1, 2, (1, 1, 1), -3): (31, 104)
(3, 1, 2, (1, 1, 1), -2): (67, 182)
(3, 1, 2, (1, 1, 1), -1): (153, 310)
(3, 1, 2, (1, 1, 1), 0): (305, 516)
(3, 1, 2, (1, 1, 1), 1): (346, 464)
(3, 1, 2, (1, 1, 1), 2): (268, 319)
(3, 1, 2, (1, 1, 1), 3): (215, 243)
(3, 1, 2, (1, 1, 1), 4): (133, 140)
(3, 1, 2, (1, 1, 1), 5): (89, 96)
(3, 1, 2, (1, 1, 1), 6): (46, 49)
(3, 1, 2, (1, 1, 1), 7): (41, 41)
(3, 1, 2, (1, 1, 1), 8): (13, 13)
(3, 1, 2, (1, 1, 1), 9): (11, 11)
(3, 1, 2, (1, 1, 1), 10): (6, 6)
(3, 1, 2, (1, 1, 1), 11): (2, 2)
(3, 1, 2, (1, 1, 1), 12): (2, 2)
(3, 1, 2, (1, 1, 1), 13): (2, 2)
(4, 0, 0, (0, 0, 0), -16): (0, 1)
(4, 0, 0, (0, 0, 0), -15): (0, 1)
(4, 0, 0, (0, 0, 0), -14): (0, 3)
(4, 0, 0, (0, 0, 0), -13): (0, 8)
(4, 0, 0, (0, 0, 0), -12): (0, 12)
(4, 0, 0, (0, 0, 0), -11): (1, 30)
(4, 0, 0, (0, 0, 0), -10): (0, 43)
(4, 0, 0, (0, 0, 0), -9): (1, 111)
(4, 0, 0, (0, 0, 0), -8): (2, 176)
(4, 0, 0, (0, 0, 0), -7): (12, 373)
(4, 0, 0, (0, 0, 0), -6): (26, 683)
(4, 0, 0, (0, 0, 0), -5): (93, 1385)
(4, 0, 0, (0, 0, 0), -4): (202, 2329)
(4, 0, 0, (0, 0, 0), -3): (616, 3888)
(4, 0, 0, (0, 0, 0), -2): (1398, 5976)
(4, 0, 0, (0, 0, 0), -1): (3236, 9332)
(4, 0, 0, (0, 0, 0), 0): (7048, 14761)
(4, 0, 0, (0, 0, 0), 1): (5408, 8894)
(4, 0, 0, (0, 0, 0), 2): (3999, 5524)
(4, 0, 0, (0, 0, 0), 3): (2673, 3370)
(4, 0, 0, (0, 0, 0), 4): (1715, 1949)
(4, 0, 0, (0, 0, 0), 5): (890, 984)
(4, 0, 0, (0, 0, 0), 6): (534, 563)
(4, 0, 0, (0, 0, 0), 7): (268, 271)
(4, 0, 0, (0, 0, 0), 8): (142, 146)
(4, 0, 0, (0, 0, 0), 9): (70, 70)
(4, 0, 0, (0, 0, 0), 10): (41, 41)
(4, 0, 0, (0, 0, 0), 11): (19, 19)
(4, 0, 0, (0, 0, 0), 12): (9, 10)
(4, 0, 0, (0, 0, 0), 13): (3, 3)
(4, 0, 0, (0, 0, 0), 14): (2, 2)
(4, 0, 0, (0, 0, 0), 15): (1, 1)
(4, 0, 0, (0, 0, 1), -9): (0, 2)
(4, 0, 0, (0, 0, 1), -7): (0, 3)
(4, 0, 0, (0, 0, 1), -6): (0, 9)
(4, 0, 0, (0, 0, 1), -5): (2, 7)
(4, 0, 0, (0, 0, 1), -4): (0, 24)
(4, 0, 0, (0, 0, 1), -3): (7, 38)
(4, 0, 0, (0, 0, 1), -2): (30, 66)
(4, 0, 0, (0, 0, 1), -1): (50, 124)
(4, 0, 0, (0, 0, 1), 0): (96, 172)
(4, 0, 0, (0, 0, 1), 1): (96, 135)
(4, 0, 0, (0, 0, 1), 2): (63, 80)
(4, 0, 0, (0, 0, 1), 3): (45, 50)
(4, 0, 0, (0, 0, 1), 4): (33, 37)
(4, 0, 0, (0, 0, 1), 5): (13, 14)
(4, 0, 0, (0, 0, 1), 6): (10, 10)
(4, 0, 0, (0, 0, 1), 7): (7, 7)
(4, 0, 0, (0, 0, 1), 8): (4, 4)
(4, 0, 0, (0, 0, 1), 9): (1, 1)
(4, 0, 0, (0, 0, 1), 12): (1, 1)
(4, 0, 0, (0, 1, 0), -13): (0, 2)
(4, 0, 0, (0, 1, 0), -12): (0, 1)
(4, 0, 0, (0, 1, 0), -11): (0, 2)
(4, 0, 0, (0, 1, 0), -10): (0, 2)
(4, 0, 0, (0, 1, 0), -9): (0, 8)
(4, 0, 0, (0, 1, 0), -8): (0, 16)
(4, 0, 0, (0, 1, 0), -7): (0, 21)
(4, 0, 0, (0, 1, 0), -6): (1, 50)
(4, 0, 0, (0, 1, 0), -5): (14, 104)
(4, 0, 0, (0, 1, 0), -4): (19, 141)
(4, 0, 0, (0, 1, 0), -3): (60, 261)
(4, 0, 0, (0, 1, 0), -2): (124, 406)
(4, 0, 0, (0, 1, 0), -1): (310, 697)
(4, 0, 0, (0, 1, 0), 0): (639, 1100)
(4, 0, 0, (0, 1, 0), 1): (495, 740)
(4, 0, 0, (0, 1, 0), 2): (354, 471)
(4, 0, 0, (0, 1, 0), 3): (215, 266)
(4, 0, 0, (0, 1, 0), 4): (143, 160)
(4, 0, 0, (0, 1, 0), 5): (77, 82)
(4, 0, 0, (0, 1, 0), 6): (51, 53)
(4, 0, 0, (0, 1, 0), 7): (22, 22)
(4, 0, 0, (0, 1, 0), 8): (17, 17)
(4, 0, 0, (0, 1, 0), 9): (9, 9)
(4, 0, 0, (0, 1, 0), 10): (3, 3)
(4, 0, 0, (0, 1, 0), 11): (2, 2)
(4, 0, 0, (0, 1, 0), 12): (1, 1)
(4, 0, 0, (0, 1, 1), -10): (0, 1)
(4, 0, 0, (0, 1, 1), -9): (0, 2)
(4, 0, 0, (0, 1, 1), -8): (0, 2)
(4, 0, 0, (0, 1, 1), -7): (0, 2)
(4, 0, 0, (0, 1, 1), -6): (0, 4)
(4, 0, 0, (0, 1, 1), -5): (3, 20)
(4, 0, 0, (0, 1, 1), -4): (6, 30)
(4, 0, 0, (0, 1, 1), -3): (9, 48)
(4, 0, 0, (0, 1, 1), -2): (18, 73)
(4, 0, 0, (0, 1, 1), -1): (63, 125)
(4, 0, 0, (0, 1, 1), 0): (130, 186)
(4, 0, 0, (0, 1, 1), 1): (118, 163)
(4, 0, 0, (0, 1, 1), 2): (77, 94)
(4, 0, 0, (0, 1, 1), 3): (53, 58)
(4, 0, 0, (0, 1, 1), 4): (36, 36)
(4, 0, 0, (0, 1, 1), 5): (15, 17)
(4, 0, 0, (0, 1, 1), 6): (19, 19)
(4, 0, 0, (0, 1, 1), 7): (8, 8)
(4, 0, 0, (0, 1, 1), 8): (1, 1)
(4, 0, 0, (0, 1, 1), 9): (2, 2)
(4, 0, 0, (0, 1, 1), 10): (3, 3)
(4, 0, 0, (0, 1, 1), 12): (1, 1)
(4, 0, 0, (1, 0, 0), -14): (0, 1)
(4, 0, 0, (1, 0, 0), -13): (0, 2)
(4, 0, 0, (1, 0, 0), -12): (0, 5)
(4, 0, 0, (1, 0, 0), -11): (1, 6)
(4, 0, 0, (1, 0, 0), -10): (0, 11)
(4, 0, 0, (1, 0, 0), -9): (0, 17)
(4, 0, 0, (1, 0, 0), -8): (0, 43)
(4, 0, 0, (1, 0, 0), -7): (2, 102)
(4, 0, 0, (1, 0, 0), -6): (10, 155)
(4, 0, 0, (1, 0, 0), -5): (31, 347)
(4, 0, 0, (1, 0, 0), -4): (65, 600)
(4, 0, 0, (1, 0, 0), -3): (177, 935)
(4, 0, 0, (1, 0, 0), -2): (421, 1516)
(4, 0, 0, (1, 0, 0), -1): (943, 2393)
(4, 0, 0, (1, 0, 0), 0): (2026, 3835)
(4, 0, 0, (1, 0, 0), 1): (1483, 2283)
(4, 0, 0, (1, 0, 0), 2): (1099, 1455)
(4, 0, 0, (1, 0, 0), 3): (701, 873)
(4, 0, 0, (1, 0, 0), 4): (454, 499)
(4, 0, 0, (1, 0, 0), 5): (222, 251)
(4, 0, 0, (1, 0, 0), 6): (160, 169)
(4, 0, 0, (1, 0, 0), 7): (66, 67)
(4, 0, 0, (1, 0, 0), 8): (55, 56)
(4, 0, 0, (1, 0, 0), 9): (17, 17)
(4, 0, 0, (1, 0, 0), 10): (11, 11)
(4, 0, 0, (1, 0, 0), 11): (4, 4)
(4, 0, 0, (1, 0, 0), 12): (3, 3)
(4, 0, 0, (1, 0, 0), 13): (1, 1)
(4, 0, 0, (1, 0, 0), 14): (1, 1)
(4, 0, 0, (1, 0, 1), -11): (0, 1)
(4, 0, 0, (1, 0, 1), -9): (0, 1)
(4, 0, 0, (1, 0, 1), -8): (0, 3)
(4, 0, 0, (1, 0, 1), -7): (0, 4)
(4, 0, 0, (1, 0, 1), -6): (0, 17)
(4, 0, 0, (1, 0, 1), -5): (6, 30)
(4, 0, 0, (1, 0, 1), -4): (4, 48)
(4, 0, 0, (1, 0, 1), -3): (19, 74)
(4, 0, 0, (1, 0, 1), -2): (59, 137)
(4, 0, 0, (1, 0, 1), -1): (107, 210)
(4, 0, 0, (1, 0, 1), 0): (228, 355)
(4, 0, 0, (1, 0, 1), 1): (195, 272)
(4, 0, 0, (1, 0, 1), 2): (123, 159)
(4, 0, 0, (1, 0, 1), 3): (101, 117)
(4, 0, 0, (1, 0, 1), 4): (41, 45)
(4, 0, 0, (1, 0, 1), 5): (30, 32)
(4, 0, 0, (1, 0, 1), 6): (18, 18)
(4, 0, 0, (1, 0, 1), 7): (13, 13)
(4, 0, 0, (1, 0, 1), 8): (8, 8)
(4, 0, 0, (1, 0, 1), 9): (6, 6)
(4, 0, 0, (1, 0, 1), 11): (1, 1)
(4, 0, 0, (1, 1, 0), -13): (0, 2)
(4, 0, 0, (1, 1, 0), -12): (0, 1)
(4, 0, 0, (1, 1, 0), -11): (0, 3)
(4, 0, 0, (1, 1, 0), -10): (0, 8)
(4, 0, 0, (1, 1, 0), -9): (0, 4)
(4, 0, 0, (1, 1, 0), -8): (0, 9)
(4, 0, 0, (1, 1, 0), -7): (0, 26)
(4, 0, 0, (1, 1, 0), -6): (3, 37)
(4, 0, 0, (1, 1, 0), -5): (7, 74)
(4, 0, 0, (1, 1, 0), -4): (17, 156)
(4, 0, 0, (1, 1, 0), -3): (52, 209)
(4, 0, 0, (1, 1, 0), -2): (115, 339)
(4, 0, 0, (1, 1, 0), -1): (231, 505)
(4, 0, 0, (1, 1, 0), 0): (472, 792)
(4, 0, 0, (1, 1, 0), 1): (412, 570)
(4, 0, 0, (1, 1, 0), 2): (280, 346)
(4, 0, 0, (1, 1, 0), 3): (177, 212)
(4, 0, 0, (1, 1, 0), 4): (116, 127)
(4, 0, 0, (1, 1, 0), 5): (72, 76)
(4, 0, 0, (1, 1, 0), 6): (41, 41)
(4, 0, 0, (1, 1, 0), 7): (15, 16)
(4, 0, 0, (1, 1, 0), 8): (18, 18)
(4, 0, 0, (1, 1, 0), 9): (6, 6)
(4, 0, 0, (1, 1, 0), 10): (4, 4)
(4, 0, 0, (1, 1, 0), 11): (2, 2)
(4, 0, 0, (1, 1, 0), 12): (1, 1)
(4, 0, 0, (1, 1, 1), -12): (0, 1)
(4, 0, 0, (1, 1, 1), -11): (0, 2)
(4, 0, 0, (1, 1, 1), -10): (0, 1)
(4, 0, 0, (1, 1, 1), -9): (0, 1)
(4, 0, 0, (1, 1, 1), -8): (0, 2)
(4, 0, 0, (1, 1, 1), -7): (0, 6)
(4, 0, 0, (1, 1, 1), -6): (0, 7)
(4, 0, 0, (1, 1, 1), -5): (3, 13)
(4, 0, 0, (1, 1, 1), -4): (7, 29)
(4, 0, 0, (1, 1, 1), -3): (20, 56)
(4, 0, 0, (1, 1, 1), -2): (36, 79)
(4, 0, 0, (1, 1, 1), -1): (54, 94)
(4, 0, 0, (1, 1, 1), 0): (122, 174)
(4, 0, 0, (1, 1, 1), 1): (113, 138)
(4, 0, 0, (1, 1, 1), 2): (78, 93)
(4, 0, 0, (1, 1, 1), 3): (66, 68)
(4, 0, 0, (1, 1, 1), 4): (33, 35)
(4, 0, 0, (1, 1, 1), 5): (27, 27)
(4, 0, 0, (1, 1, 1), 6): (12, 12)
(4, 0, 0, (1, 1, 1), 7): (9, 9)
(4, 0, 0, (1, 1, 1), 8): (7, 7)
(4, 0, 0, (1, 1, 1), 9): (2, 2)
(4, 0, 0, (1, 1, 1), 10): (2, 2)
(4, 0, 0, (1, 1, 1), 11): (1, 1)
(4, 0, 1, (0, 0, 0), -16): (0, 1)
(4, 0, 1, (0, 0, 0), -15): (0, 1)
(4, 0, 1, (0, 0, 0), -14): (0, 1)
(4, 0, 1, (0, 0, 0), -13): (0, 5)
(4, 0, 1, (0, 0, 0), -12): (0, 6)
(4, 0, 1, (0, 0, 0), -11): (0, 22)
(4, 0, 1, (0, 0, 0), -10): (0, 29)
(4, 0, 1, (0, 0, 0), -9): (1, 84)
(4, 0, 1, (0, 0, 0), -8): (2, 123)
(4, 0, 1, (0, 0, 0), -7): (10, 251)
(4, 0, 1, (0, 0, 0), -6): (13, 476)
(4, 0, 1, (0, 0, 0), -5): (47, 937)
(4, 0, 1, (0, 0, 0), -4): (118, 1578)
(4, 0, 1, (0, 0, 0), -3): (375, 2724)
(4, 0, 1, (0, 0, 0), -2): (848, 4143)
(4, 0, 1, (0, 0, 0), -1): (2031, 6460)
(4, 0, 1, (0, 0, 0), 0): (4597, 10315)
(4, 0, 1, (0, 0, 0), 1): (3801, 6493)
(4, 0, 1, (0, 0, 0), 2): (2948, 4180)
(4, 0, 1, (0, 0, 0), 3): (2040, 2599)
(4, 0, 1, (0, 0, 0), 4): (1333, 1532)
(4, 0, 1, (0, 0, 0), 5): (700, 778)
(4, 0, 1, (0, 0, 0), 6): (404, 428)
(4, 0, 1, (0, 0, 0), 7): (232, 234)
(4, 0, 1, (0, 0, 0), 8): (102, 105)
(4, 0, 1, (0, 0, 0), 9): (56, 56)
(4, 0, 1, (0, 0, 0), 10): (37, 37)
(4, 0, 1, (0, 0, 0), 11): (18, 18)
(4, 0, 1, (0, 0, 0), 12): (9, 10)
(4, 0, 1, (0, 0, 0), 13): (3, 3)
(4, 0, 1, (0, 0, 0), 14): (1, 1)
(4, 0, 1, (0, 0, 0), 15): (2, 2)
(4, 0, 1, (0, 0, 1), -13): (0, 1)
(4, 0, 1, (0, 0, 1), -11): (0, 1)
(4, 0, 1, (0, 0, 1), -9): (0, 3)
(4, 0, 1, (0, 0, 1), -8): (0, 3)
(4, 0, 1, (0, 0, 1), -7): (0, 12)
(4, 0, 1, (0, 0, 1), -6): (1, 17)
(4, 0, 1, (0, 0, 1), -5): (2, 29)
(4, 0, 1, (0, 0, 1), -4): (5, 64)
(4, 0, 1, (0, 0, 1), -3): (29, 134)
(4, 0, 1, (0, 0, 1), -2): (50, 205)
(4, 0, 1, (0, 0, 1), -1): (130, 336)
(4, 0, 1, (0, 0, 1), 0): (319, 592)
(4, 0, 1, (0, 0, 1), 1): (293, 436)
(4, 0, 1, (0, 0, 1), 2): (276, 356)
(4, 0, 1, (0, 0, 1), 3): (186, 233)
(4, 0, 1, (0, 0, 1), 4): (116, 132)
(4, 0, 1, (0, 0, 1), 5): (53, 58)
(4, 0, 1, (0, 0, 1), 6): (33, 36)
(4, 0, 1, (0, 0, 1), 7): (20, 20)
(4, 0, 1, (0, 0, 1), 8): (10, 10)
(4, 0, 1, (0, 0, 1), 9): (2, 2)
(4, 0, 1, (0, 0, 1), 10): (2, 2)
(4, 0, 1, (0, 0, 1), 11): (2, 2)
(4, 0, 1, (0, 0, 1), 12): (1, 1)
(4, 0, 1, (0, 1, 0), -13): (0, 1)
(4, 0, 1, (0, 1, 0), -12): (0, 2)
(4, 0, 1, (0, 1, 0), -11): (0, 3)
(4, 0, 1, (0, 1, 0), -10): (0, 6)
(4, 0, 1, (0, 1, 0), -9): (0, 6)
(4, 0, 1, (0, 1, 0), -8): (0, 20)
(4, 0, 1, (0, 1, 0), -7): (1, 33)
(4, 0, 1, (0, 1, 0), -6): (2, 69)
(4, 0, 1, (0, 1, 0), -5): (12, 133)
(4, 0, 1, (0, 1, 0), -4): (16, 197)
(4, 0, 1, (0, 1, 0), -3): (61, 403)
(4, 0, 1, (0, 1, 0), -2): (148, 622)
(4, 0, 1, (0, 1, 0), -1): (384, 1023)
(4, 0, 1, (0, 1, 0), 0): (894, 1749)
(4, 0, 1, (0, 1, 0), 1): (766, 1221)
(4, 0, 1, (0, 1, 0), 2): (664, 906)
(4, 0, 1, (0, 1, 0), 3): (469, 572)
(4, 0, 1, (0, 1, 0), 4): (293, 332)
(4, 0, 1, (0, 1, 0), 5): (184, 207)
(4, 0, 1, (0, 1, 0), 6): (100, 105)
(4, 0, 1, (0, 1, 0), 7): (45, 46)
(4, 0, 1, (0, 1, 0), 8): (31, 32)
(4, 0, 1, (0, 1, 0), 9): (9, 10)
(4, 0, 1, (0, 1, 0), 10): (10, 10)
(4, 0, 1, (0, 1, 0), 11): (4, 4)
(4, 0, 1, (0, 1, 0), 12): (3, 3)
(4, 0, 1, (0, 1, 1), -11): (0, 2)
(4, 0, 1, (0, 1, 1), -10): (0, 4)
(4, 0, 1, (0, 1, 1), -9): (0, 1)
(4, 0, 1, (0, 1, 1), -8): (0, 4)
(4, 0, 1, (0, 1, 1), -7): (0, 10)
(4, 0, 1, (0, 1, 1), -6): (0, 8)
(4, 0, 1, (0, 1, 1), -5): (2, 18)
(4, 0, 1, (0, 1, 1), -4): (7, 67)
(4, 0, 1, (0, 1, 1), -3): (19, 97)
(4, 0, 1, (0, 1, 1), -2): (45, 164)
(4, 0, 1, (0, 1, 1), -1): (140, 283)
(4, 0, 1, (0, 1, 1), 0): (233, 409)
(4, 0, 1, (0, 1, 1), 1): (263, 383)
(4, 0, 1, (0, 1, 1), 2): (208, 260)
(4, 0, 1, (0, 1, 1), 3): (158, 193)
(4, 0, 1, (0, 1, 1), 4): (105, 118)
(4, 0, 1, (0, 1, 1), 5): (54, 59)
(4, 0, 1, (0, 1, 1), 6): (25, 27)
(4, 0, 1, (0, 1, 1), 7): (16, 16)
(4, 0, 1, (0, 1, 1), 8): (14, 14)
(4, 0, 1, (0, 1, 1), 9): (6, 6)
(4, 0, 1, (0, 1, 1), 10): (2, 2)
(4, 0, 1, (0, 1, 1), 12): (1, 1)
(4, 0, 1, (1, 0, 0), -13): (0, 2)
(4, 0, 1, (1, 0, 0), -12): (0, 5)
(4, 0, 1, (1, 0, 0), -11): (1, 11)
(4, 0, 1, (1, 0, 0), -10): (0, 7)
(4, 0, 1, (1, 0, 0), -9): (0, 28)
(4, 0, 1, (1, 0, 0), -8): (0, 51)
(4, 0, 1, (1, 0, 0), -7): (6, 134)
(4, 0, 1, (1, 0, 0), -6): (7, 188)
(4, 0, 1, (1, 0, 0), -5): (25, 400)
(4, 0, 1, (1, 0, 0), -4): (64, 688)
(4, 0, 1, (1, 0, 0), -3): (174, 1095)
(4, 0, 1, (1, 0, 0), -2): (409, 1721)
(4, 0, 1, (1, 0, 0), -1): (947, 2669)
(4, 0, 1, (1, 0, 0), 0): (1993, 4169)
(4, 0, 1, (1, 0, 0), 1): (1647, 2719)
(4, 0, 1, (1, 0, 0), 2): (1288, 1744)
(4, 0, 1, (1, 0, 0), 3): (836, 1058)
(4, 0, 1, (1, 0, 0), 4): (569, 658)
(4, 0, 1, (1, 0, 0), 5): (295, 333)
(4, 0, 1, (1, 0, 0), 6): (212, 222)
(4, 0, 1, (1, 0, 0), 7): (107, 108)
(4, 0, 1, (1, 0, 0), 8): (54, 57)
(4, 0, 1, (1, 0, 0), 9): (36, 36)
(4, 0, 1, (1, 0, 0), 10): (17, 17)
(4, 0, 1, (1, 0, 0), 11): (6, 6)
(4, 0, 1, (1, 0, 0), 12): (4, 4)
(4, 0, 1, (1, 0, 0), 13): (1, 1)
(4, 0, 1, (1, 0, 0), 15): (2, 2)
(4, 0, 1, (1, 0, 1), -9): (0, 2)
(4, 0, 1, (1, 0, 1), -8): (0, 4)
(4, 0, 1, (1, 0, 1), -7): (2, 19)
(4, 0, 1, (1, 0, 1), -6): (0, 22)
(4, 0, 1, (1, 0, 1), -5): (7, 46)
(4, 0, 1, (1, 0, 1), -4): (14, 84)
(4, 0, 1, (1, 0, 1), -3): (30, 142)
(4, 0, 1, (1, 0, 1), -2): (74, 257)
(4, 0, 1, (1, 0, 1), -1): (179, 408)
(4, 0, 1, (1, 0, 1), 0): (369, 633)
(4, 0, 1, (1, 0, 1), 1): (335, 486)
(4, 0, 1, (1, 0, 1), 2): (293, 391)
(4, 0, 1, (1, 0, 1), 3): (162, 201)
(4, 0, 1, (1, 0, 1), 4): (135, 149)
(4, 0, 1, (1, 0, 1), 5): (60, 68)
(4, 0, 1, (1, 0, 1), 6): (60, 62)
(4, 0, 1, (1, 0, 1), 7): (37, 37)
(4, 0, 1, (1, 0, 1), 8): (10, 12)
(4, 0, 1, (1, 0, 1), 9): (7, 7)
(4, 0, 1, (1, 0, 1), 10): (4, 4)
(4, 0, 1, (1, 0, 1), 11): (3, 3)
(4, 0, 1, (1, 0, 1), 12): (1, 1)
(4, 0, 1, (1, 1, 0), -13): (0, 3)
(4, 0, 1, (1, 1, 0), -12): (0, 3)
(4, 0, 1, (1, 1, 0), -11): (0, 6)
(4, 0, 1, (1, 1, 0), -10): (0, 11)
(4, 0, 1, (1, 1, 0), -9): (0, 5)
(4, 0, 1, (1, 1, 0), -8): (0, 22)
(4, 0, 1, (1, 1, 0), -7): (0, 35)
(4, 0, 1, (1, 1, 0), -6): (5, 68)
(4, 0, 1, (1, 1, 0), -5): (14, 133)
(4, 0, 1, (1, 1, 0), -4): (15, 225)
(4, 0, 1, (1, 1, 0), -3): (74, 357)
(4, 0, 1, (1, 1, 0), -2): (163, 554)
(4, 0, 1, (1, 1, 0), -1): (322, 810)
(4, 0, 1, (1, 1, 0), 0): (614, 1209)
(4, 0, 1, (1, 1, 0), 1): (587, 936)
(4, 0, 1, (1, 1, 0), 2): (507, 656)
(4, 0, 1, (1, 1, 0), 3): (304, 379)
(4, 0, 1, (1, 1, 0), 4): (205, 227)
(4, 0, 1, (1, 1, 0), 5): (133, 145)
(4, 0, 1, (1, 1, 0), 6): (96, 100)
(4, 0, 1, (1, 1, 0), 7): (35, 40)
(4, 0, 1, (1, 1, 0), 8): (36, 36)
(4, 0, 1, (1, 1, 0), 9): (15, 15)
(4, 0, 1, (1, 1, 0), 10): (8, 8)
(4, 0, 1, (1, 1, 0), 11): (1, 1)
(4, 0, 1, (1, 1, 0), 12): (6, 6)
(4, 0, 1, (1, 1, 0), 13): (1, 1)
(4, 0, 1, (1, 1, 0), 15): (1, 1)
(4, 0, 1, (1, 1, 0), 16): (1, 1)
(4, 0, 1, (1, 1, 1), -11): (0, 2)
(4, 0, 1, (1, 1, 1), -10): (0, 5)
(4, 0, 1, (1, 1, 1), -8): (0, 3)
(4, 0, 1, (1, 1, 1), -7): (1, 13)
(4, 0, 1, (1, 1, 1), -6): (1, 20)
(4, 0, 1, (1, 1, 1), -5): (5, 29)
(4, 0, 1, (1, 1, 1), -4): (6, 56)
(4, 0, 1, (1, 1, 1), -3): (23, 92)
(4, 0, 1, (1, 1, 1), -2): (40, 132)
(4, 0, 1, (1, 1, 1), -1): (123, 253)
(4, 0, 1, (1, 1, 1), 0): (206, 359)
(4, 0, 1, (1, 1, 1), 1): (260, 358)
(4, 0, 1, (1, 1, 1), 2): (201, 248)
(4, 0, 1, (1, 1, 1), 3): (162, 192)
(4, 0, 1, (1, 1, 1), 4): (81, 93)
(4, 0, 1, (1, 1, 1), 5): (72, 74)
(4, 0, 1, (1, 1, 1), 6): (40, 40)
(4, 0, 1, (1, 1, 1), 7): (26, 27)
(4, 0, 1, (1, 1, 1), 8): (12, 12)
(4, 0, 1, (1, 1, 1), 9): (8, 8)
(4, 0, 1, (1, 1, 1), 10): (2, 2)
(4, 0, 2, (0, 0, 0), -16): (0, 1)
(4, 0, 2, (0, 0, 0), -15): (0, 1)
(4, 0, 2, (0, 0, 0), -14): (0, 1)
(4, 0, 2, (0, 0, 0), -13): (0, 3)
(4, 0, 2, (0, 0, 0), -12): (0, 5)
(4, 0, 2, (0, 0, 0), -11): (0, 13)
(4, 0, 2, (0, 0, 0), -10): (0, 23)
(4, 0, 2, (0, 0, 0), -9): (1, 62)
(4, 0, 2, (0, 0, 0), -8): (2, 92)
(4, 0, 2, (0, 0, 0), -7): (5, 164)
(4, 0, 2, (0, 0, 0), -6): (10, 360)
(4, 0, 2, (0, 0, 0), -5): (30, 708)
(4, 0, 2, (0, 0, 0), -4): (83, 1190)
(4, 0, 2, (0, 0, 0), -3): (254, 2022)
(4, 0, 2, (0, 0, 0), -2): (590, 3116)
(4, 0, 2, (0, 0, 0), -1): (1407, 4954)
(4, 0, 2, (0, 0, 0), 0): (3270, 7809)
(4, 0, 2, (0, 0, 0), 1): (3008, 5274)
(4, 0, 2, (0, 0, 0), 2): (2443, 3569)
(4, 0, 2, (0, 0, 0), 3): (1748, 2252)
(4, 0, 2, (0, 0, 0), 4): (1165, 1349)
(4, 0, 2, (0, 0, 0), 5): (625, 693)
(4, 0, 2, (0, 0, 0), 6): (350, 375)
(4, 0, 2, (0, 0, 0), 7): (236, 241)
(4, 0, 2, (0, 0, 0), 8): (115, 116)
(4, 0, 2, (0, 0, 0), 9): (68, 69)
(4, 0, 2, (0, 0, 0), 10): (40, 40)
(4, 0, 2, (0, 0, 0), 11): (18, 18)
(4, 0, 2, (0, 0, 0), 12): (9, 10)
(4, 0, 2, (0, 0, 0), 13): (7, 7)
(4, 0, 2, (0, 0, 0), 14): (3, 3)
(4, 0, 2, (0, 0, 1), -12): (0, 1)
(4, 0, 2, (0, 0, 1), -11): (0, 1)
(4, 0, 2, (0, 0, 1), -10): (0, 4)
(4, 0, 2, (0, 0, 1), -9): (0, 3)
(4, 0, 2, (0, 0, 1), -8): (0, 5)
(4, 0, 2, (0, 0, 1), -7): (1, 12)
(4, 0, 2, (0, 0, 1), -6): (1, 31)
(4, 0, 2, (0, 0, 1), -5): (4, 51)
(4, 0, 2, (0, 0, 1), -4): (6, 109)
(4, 0, 2, (0, 0, 1), -3): (26, 173)
(4, 0, 2, (0, 0, 1), -2): (59, 272)
(4, 0, 2, (0, 0, 1), -1): (158, 483)
(4, 0, 2, (0, 0, 1), 0): (384, 813)
(4, 0, 2, (0, 0, 1), 1): (394, 667)
(4, 0, 2, (0, 0, 1), 2): (348, 500)
(4, 0, 2, (0, 0, 1), 3): (273, 350)
(4, 0, 2, (0, 0, 1), 4): (203, 236)
(4, 0, 2, (0, 0, 1), 5): (110, 124)
(4, 0, 2, (0, 0, 1), 6): (71, 75)
(4, 0, 2, (0, 0, 1), 7): (35, 36)
(4, 0, 2, (0, 0, 1), 8): (18, 18)
(4, 0, 2, (0, 0, 1), 9): (11, 11)
(4, 0, 2, (0, 0, 1), 10): (3, 3)
(4, 0, 2, (0, 0, 1), 11): (3, 3)
(4, 0, 2, (0, 0, 1), 12): (2, 2)
(4, 0, 2, (0, 1, 0), -13): (0, 1)
(4, 0, 2, (0, 1, 0), -12): (0, 3)
(4, 0, 2, (0, 1, 0), -11): (0, 6)
(4, 0, 2, (0, 1, 0), -10): (0, 7)
(4, 0, 2, (0, 1, 0), -9): (0, 11)
(4, 0, 2, (0, 1, 0), -8): (0, 18)
(4, 0, 2, (0, 1, 0), -7): (0, 42)
(4, 0, 2, (0, 1, 0), -6): (1, 83)
(4, 0, 2, (0, 1, 0), -5): (12, 165)
(4, 0, 2, (0, 1, 0), -4): (19, 249)
(4, 0, 2, (0, 1, 0), -3): (58, 459)
(4, 0, 2, (0, 1, 0), -2): (151, 739)
(4, 0, 2, (0, 1, 0), -1): (370, 1190)
(4, 0, 2, (0, 1, 0), 0): (978, 2074)
(4, 0, 2, (0, 1, 0), 1): (931, 1638)
(4, 0, 2, (0, 1, 0), 2): (911, 1261)
(4, 0, 2, (0, 1, 0), 3): (688, 858)
(4, 0, 2, (0, 1, 0), 4): (498, 568)
(4, 0, 2, (0, 1, 0), 5): (309, 334)
(4, 0, 2, (0, 1, 0), 6): (160, 172)
(4, 0, 2, (0, 1, 0), 7): (65, 67)
(4, 0, 2, (0, 1, 0), 8): (49, 50)
(4, 0, 2, (0, 1, 0), 9): (33, 34)
(4, 0, 2, (0, 1, 0), 10): (9, 9)
(4, 0, 2, (0, 1, 0), 11): (5, 5)
(4, 0, 2, (0, 1, 0), 12): (4, 4)
(4, 0, 2, (0, 1, 0), 13): (2, 2)
(4, 0, 2, (0, 1, 0), 14): (2, 2)
(4, 0, 2, (0, 1, 1), -11): (0, 2)
(4, 0, 2, (0, 1, 1), -10): (0, 4)
(4, 0, 2, (0, 1, 1), -9): (0, 3)
(4, 0, 2, (0, 1, 1), -8): (0, 12)
(4, 0, 2, (0, 1, 1), -7): (0, 5)
(4, 0, 2, (0, 1, 1), -6): (0, 21)
(4, 0, 2, (0, 1, 1), -5): (4, 22)
(4, 0, 2, (0, 1, 1), -4): (7, 73)
(4, 0, 2, (0, 1, 1), -3): (13, 107)
(4, 0, 2, (0, 1, 1), -2): (40, 171)
(4, 0, 2, (0, 1, 1), -1): (112, 269)
(4, 0, 2, (0, 1, 1), 0): (223, 420)
(4, 0, 2, (0, 1, 1), 1): (237, 373)
(4, 0, 2, (0, 1, 1), 2): (238, 300)
(4, 0, 2, (0, 1, 1), 3): (206, 255)
(4, 0, 2, (0, 1, 1), 4): (127, 150)
(4, 0, 2, (0, 1, 1), 5): (76, 86)
(4, 0, 2, (0, 1, 1), 6): (41, 47)
(4, 0, 2, (0, 1, 1), 7): (23, 23)
(4, 0, 2, (0, 1, 1), 8): (17, 17)
(4, 0, 2, (0, 1, 1), 9): (8, 8)
(4, 0, 2, (0, 1, 1), 10): (5, 5)
(4, 0, 2, (0, 1, 1), 11): (2, 2)
(4, 0, 2, (0, 1, 1), 12): (2, 2)
(4, 0, 2, (0, 1, 1), 13): (1, 1)
(4, 0, 2, (1, 0, 0), -13): (0, 1)
(4, 0, 2, (1, 0, 0), -12): (0, 3)
(4, 0, 2, (1, 0, 0), -11): (1, 4)
(4, 0, 2, (1, 0, 0), -10): (0, 10)
(4, 0, 2, (1, 0, 0), -9): (0, 31)
(4, 0, 2, (1, 0, 0), -8): (1, 53)
(4, 0, 2, (1, 0, 0), -7): (3, 93)
(4, 0, 2, (1, 0, 0), -6): (6, 185)
(4, 0, 2, (1, 0, 0), -5): (11, 355)
(4, 0, 2, (1, 0, 0), -4): (46, 619)
(4, 0, 2, (1, 0, 0), -3): (119, 1006)
(4, 0, 2, (1, 0, 0), -2): (295, 1511)
(4, 0, 2, (1, 0, 0), -1): (747, 2441)
(4, 0, 2, (1, 0, 0), 0): (1707, 3768)
(4, 0, 2, (1, 0, 0), 1): (1591, 2708)
(4, 0, 2, (1, 0, 0), 2): (1292, 1824)
(4, 0, 2, (1, 0, 0), 3): (1008, 1267)
(4, 0, 2, (1, 0, 0), 4): (693, 787)
(4, 0, 2, (1, 0, 0), 5): (384, 430)
(4, 0, 2, (1, 0, 0), 6): (264, 285)
(4, 0, 2, (1, 0, 0), 7): (154, 157)
(4, 0, 2, (1, 0, 0), 8): (75, 77)
(4, 0, 2, (1, 0, 0), 9): (46, 48)
(4, 0, 2, (1, 0, 0), 10): (24, 24)
(4, 0, 2, (1, 0, 0), 11): (11, 11)
(4, 0, 2, (1, 0, 0), 12): (6, 6)
(4, 0, 2, (1, 0, 0), 13): (2, 2)
(4, 0, 2, (1, 0, 0), 14): (1, 1)
(4, 0, 2, (1, 0, 0), 15): (2, 2)
(4, 0, 2, (1, 0, 1), -12): (0, 1)
(4, 0, 2, (1, 0, 1), -11): (0, 2)
(4, 0, 2, (1, 0, 1), -10): (0, 1)
(4, 0, 2, (1, 0, 1), -9): (0, 4)
(4, 0, 2, (1, 0, 1), -8): (0, 4)
(4, 0, 2, (1, 0, 1), -7): (0, 15)
(4, 0, 2, (1, 0, 1), -6): (1, 24)
(4, 0, 2, (1, 0, 1), -5): (6, 62)
(4, 0, 2, (1, 0, 1), -4): (12, 116)
(4, 0, 2, (1, 0, 1), -3): (28, 172)
(4, 0, 2, (1, 0, 1), -2): (88, 305)
(4, 0, 2, (1, 0, 1), -1): (150, 434)
(4, 0, 2, (1, 0, 1), 0): (342, 711)
(4, 0, 2, (1, 0, 1), 1): (370, 595)
(4, 0, 2, (1, 0, 1), 2): (361, 494)
(4, 0, 2, (1, 0, 1), 3): (283, 347)
(4, 0, 2, (1, 0, 1), 4): (205, 235)
(4, 0, 2, (1, 0, 1), 5): (113, 127)
(4, 0, 2, (1, 0, 1), 6): (81, 89)
(4, 0, 2, (1, 0, 1), 7): (42, 42)
(4, 0, 2, (1, 0, 1), 8): (25, 26)
(4, 0, 2, (1, 0, 1), 9): (13, 14)
(4, 0, 2, (1, 0, 1), 10): (11, 11)
(4, 0, 2, (1, 0, 1), 11): (1, 1)
(4, 0, 2, (1, 0, 1), 12): (1, 1)
(4, 0, 2, (1, 0, 1), 13): (1, 1)
(4, 0, 2, (1, 0, 1), 15): (1, 1)
(4, 0, 2, (1, 1, 0), -13): (0, 4)
(4, 0, 2, (1, 1, 0), -12): (0, 3)
(4, 0, 2, (1, 1, 0), -11): (1, 2)
(4, 0, 2, (1, 1, 0), -10): (1, 2)
(4, 0, 2, (1, 1, 0), -9): (0, 11)
(4, 0, 2, (1, 1, 0), -8): (0, 14)
(4, 0, 2, (1, 1, 0), -7): (2, 41)
(4, 0, 2, (1, 1, 0), -6): (4, 65)
(4, 0, 2, (1, 1, 0), -5): (6, 133)
(4, 0, 2, (1, 1, 0), -4): (15, 244)
(4, 0, 2, (1, 1, 0), -3): (63, 414)
(4, 0, 2, (1, 1, 0), -2): (140, 601)
(4, 0, 2, (1, 1, 0), -1): (319, 933)
(4, 0, 2, (1, 1, 0), 0): (699, 1488)
(4, 0, 2, (1, 1, 0), 1): (723, 1209)
(4, 0, 2, (1, 1, 0), 2): (712, 960)
(4, 0, 2, (1, 1, 0), 3): (482, 609)
(4, 0, 2, (1, 1, 0), 4): (357, 395)
(4, 0, 2, (1, 1, 0), 5): (223, 241)
(4, 0, 2, (1, 1, 0), 6): (136, 144)
(4, 0, 2, (1, 1, 0), 7): (81, 82)
(4, 0, 2, (1, 1, 0), 8): (43, 43)
(4, 0, 2, (1, 1, 0), 9): (21, 21)
(4, 0, 2, (1, 1, 0), 10): (10, 10)
(4, 0, 2, (1, 1, 0), 11): (4, 4)
(4, 0, 2, (1, 1, 0), 12): (6, 6)
(4, 0, 2, (1, 1, 0), 15): (1, 1)
(4, 0, 2, (1, 1, 0), 16): (2, 2)
(4, 0, 2, (1, 1, 1), -13): (0, 1)
(4, 0, 2, (1, 1, 1), -10): (0, 2)
(4, 0, 2, (1, 1, 1), -8): (0, 2)
(4, 0, 2, (1, 1, 1), -7): (1, 7)
(4, 0, 2, (1, 1, 1), -6): (0, 19)
(4, 0, 2, (1, 1, 1), -5): (4, 37)
(4, 0, 2, (1, 1, 1), -4): (5, 61)
(4, 0, 2, (1, 1, 1), -3): (24, 122)
(4, 0, 2, (1, 1, 1), -2): (47, 166)
(4, 0, 2, (1, 1, 1), -1): (106, 278)
(4, 0, 2, (1, 1, 1), 0): (220, 432)
(4, 0, 2, (1, 1, 1), 1): (250, 388)
(4, 0, 2, (1, 1, 1), 2): (239, 305)
(4, 0, 2, (1, 1, 1), 3): (190, 229)
(4, 0, 2, (1, 1, 1), 4): (131, 155)
(4, 0, 2, (1, 1, 1), 5): (76, 83)
(4, 0, 2, (1, 1, 1), 6): (52, 54)
(4, 0, 2, (1, 1, 1), 7): (27, 28)
(4, 0, 2, (1, 1, 1), 8): (19, 19)
(4, 0, 2, (1, 1, 1), 9): (11, 11)
(4, 0, 2, (1, 1, 1), 10): (6, 6)
(4, 0, 2, (1, 1, 1), 11): (2, 2)
(4, 0, 2, (1, 1, 1), 16): (1, 1)
(4, 0, 2, (1, 1, 1), 17): (1, 1)
(4, 1, 0, (0, 0, 0), -17): (0, 1)
(4, 1, 0, (0, 0, 0), -16): (0, 2)
(4, 1, 0, (0, 0, 0), -15): (0, 1)
(4, 1, 0, (0, 0, 0), -14): (0, 5)
(4, 1, 0, (0, 0, 0), -13): (0, 9)
(4, 1, 0, (0, 0, 0), -12): (1, 26)
(4, 1, 0, (0, 0, 0), -11): (0, 36)
(4, 1, 0, (0, 0, 0), -10): (1, 87)
(4, 1, 0, (0, 0, 0), -9): (4, 167)
(4, 1, 0, (0, 0, 0), -8): (4, 241)
(4, 1, 0, (0, 0, 0), -7): (13, 490)
(4, 1, 0, (0, 0, 0), -6): (62, 875)
(4, 1, 0, (0, 0, 0), -5): (154, 1478)
(4, 1, 0, (0, 0, 0), -4): (392, 2656)
(4, 1, 0, (0, 0, 0), -3): (1000, 4351)
(4, 1, 0, (0, 0, 0), -2): (2068, 6599)
(4, 1, 0, (0, 0, 0), -1): (4162, 9371)
(4, 1, 0, (0, 0, 0), 0): (7464, 12770)
(4, 1, 0, (0, 0, 0), 1): (6061, 8395)
(4, 1, 0, (0, 0, 0), 2): (4427, 5387)
(4, 1, 0, (0, 0, 0), 3): (3097, 3487)
(4, 1, 0, (0, 0, 0), 4): (1947, 2090)
(4, 1, 0, (0, 0, 0), 5): (1136, 1178)
(4, 1, 0, (0, 0, 0), 6): (617, 636)
(4, 1, 0, (0, 0, 0), 7): (308, 314)
(4, 1, 0, (0, 0, 0), 8): (154, 156)
(4, 1, 0, (0, 0, 0), 9): (112, 113)
(4, 1, 0, (0, 0, 0), 10): (46, 47)
(4, 1, 0, (0, 0, 0), 11): (26, 27)
(4, 1, 0, (0, 0, 0), 12): (12, 12)
(4, 1, 0, (0, 0, 0), 13): (8, 8)
(4, 1, 0, (0, 0, 0), 14): (2, 2)
(4, 1, 0, (0, 0, 0), 15): (1, 1)
(4, 1, 0, (0, 0, 0), 16): (1, 1)
(4, 1, 0, (0, 0, 1), -12): (0, 1)
(4, 1, 0, (0, 0, 1), -9): (0, 1)
(4, 1, 0, (0, 0, 1), -8): (0, 3)
(4, 1, 0, (0, 0, 1), -7): (0, 3)
(4, 1, 0, (0, 0, 1), -6): (1, 7)
(4, 1, 0, (0, 0, 1), -5): (2, 15)
(4, 1, 0, (0, 0, 1), -4): (10, 30)
(4, 1, 0, (0, 0, 1), -3): (13, 45)
(4, 1, 0, (0, 0, 1), -2): (29, 64)
(4, 1, 0, (0, 0, 1), -1): (82, 138)
(4, 1, 0, (0, 0, 1), 0): (142, 198)
(4, 1, 0, (0, 0, 1), 1): (117, 148)
(4, 1, 0, (0, 0, 1), 2): (77, 86)
(4, 1, 0, (0, 0, 1), 3): (61, 68)
(4, 1, 0, (0, 0, 1), 4): (40, 41)
(4, 1, 0, (0, 0, 1), 5): (32, 32)
(4, 1, 0, (0, 0, 1), 6): (15, 15)
(4, 1, 0, (0, 0, 1), 7): (9, 9)
(4, 1, 0, (0, 0, 1), 8): (3, 3)
(4, 1, 0, (0, 0, 1), 9): (4, 4)
(4, 1, 0, (0, 0, 1), 10): (1, 1)
(4, 1, 0, (0, 1, 0), -12): (0, 3)
(4, 1, 0, (0, 1, 0), -11): (0, 3)
(4, 1, 0, (0, 1, 0), -10): (0, 4)
(4, 1, 0, (0, 1, 0), -9): (0, 13)
(4, 1, 0, (0, 1, 0), -8): (1, 21)
(4, 1, 0, (0, 1, 0), -7): (2, 35)
(4, 1, 0, (0, 1, 0), -6): (5, 60)
(4, 1, 0, (0, 1, 0), -5): (16, 102)
(4, 1, 0, (0, 1, 0), -4): (44, 174)
(4, 1, 0, (0, 1, 0), -3): (85, 260)
(4, 1, 0, (0, 1, 0), -2): (184, 462)
(4, 1, 0, (0, 1, 0), -1): (388, 728)
(4, 1, 0, (0, 1, 0), 0): (651, 1002)
(4, 1, 0, (0, 1, 0), 1): (556, 713)
(4, 1, 0, (0, 1, 0), 2): (399, 470)
(4, 1, 0, (0, 1, 0), 3): (263, 297)
(4, 1, 0, (0, 1, 0), 4): (176, 188)
(4, 1, 0, (0, 1, 0), 5): (138, 141)
(4, 1, 0, (0, 1, 0), 6): (65, 67)
(4, 1, 0, (0, 1, 0), 7): (25, 26)
(4, 1, 0, (0, 1, 0), 8): (11, 11)
(4, 1, 0, (0, 1, 0), 9): (7, 7)
(4, 1, 0, (0, 1, 0), 10): (4, 4)
(4, 1, 0, (0, 1, 0), 11): (2, 2)
(4, 1, 0, (0, 1, 0), 12): (1, 1)
(4, 1, 0, (0, 1, 0), 15): (1, 1)
(4, 1, 0, (0, 1, 1), -11): (0, 1)
(4, 1, 0, (0, 1, 1), -8): (0, 4)
(4, 1, 0, (0, 1, 1), -7): (0, 4)
(4, 1, 0, (0, 1, 1), -6): (2, 15)
(4, 1, 0, (0, 1, 1), -5): (5, 20)
(4, 1, 0, (0, 1, 1), -4): (14, 51)
(4, 1, 0, (0, 1, 1), -3): (30, 66)
(4, 1, 0, (0, 1, 1), -2): (53, 93)
(4, 1, 0, (0, 1, 1), -1): (76, 133)
(4, 1, 0, (0, 1, 1), 0): (130, 170)
(4, 1, 0, (0, 1, 1), 1): (121, 146)
(4, 1, 0, (0, 1, 1), 2): (87, 90)
(4, 1, 0, (0, 1, 1), 3): (46, 49)
(4, 1, 0, (0, 1, 1), 4): (39, 42)
(4, 1, 0, (0, 1, 1), 5): (23, 24)
(4, 1, 0, (0, 1, 1), 6): (23, 23)
(4, 1, 0, (0, 1, 1), 7): (5, 5)
(4, 1, 0, (0, 1, 1), 8): (7, 7)
(4, 1, 0, (0, 1, 1), 9): (5, 5)
(4, 1, 0, (0, 1, 1), 10): (2, 2)
(4, 1, 0, (0, 1, 1), 12): (1, 1)
(4, 1, 0, (1, 0, 0), -14): (0, 1)
(4, 1, 0, (1, 0, 0), -13): (0, 2)
(4, 1, 0, (1, 0, 0), -12): (1, 6)
(4, 1, 0, (1, 0, 0), -11): (0, 8)
(4, 1, 0, (1, 0, 0), -10): (0, 17)
(4, 1, 0, (1, 0, 0), -9): (3, 39)
(4, 1, 0, (1, 0, 0), -8): (1, 52)
(4, 1, 0, (1, 0, 0), -7): (2, 121)
(4, 1, 0, (1, 0, 0), -6): (18, 185)
(4, 1, 0, (1, 0, 0), -5): (49, 408)
(4, 1, 0, (1, 0, 0), -4): (135, 690)
(4, 1, 0, (1, 0, 0), -3): (307, 1083)
(4, 1, 0, (1, 0, 0), -2): (610, 1682)
(4, 1, 0, (1, 0, 0), -1): (1226, 2425)
(4, 1, 0, (1, 0, 0), 0): (2078, 3316)
(4, 1, 0, (1, 0, 0), 1): (1693, 2210)
(4, 1, 0, (1, 0, 0), 2): (1137, 1366)
(4, 1, 0, (1, 0, 0), 3): (809, 893)
(4, 1, 0, (1, 0, 0), 4): (543, 573)
(4, 1, 0, (1, 0, 0), 5): (332, 338)
(4, 1, 0, (1, 0, 0), 6): (177, 182)
(4, 1, 0, (1, 0, 0), 7): (103, 104)
(4, 1, 0, (1, 0, 0), 8): (51, 51)
(4, 1, 0, (1, 0, 0), 9): (34, 34)
(4, 1, 0, (1, 0, 0), 10): (13, 13)
(4, 1, 0, (1, 0, 0), 11): (11, 11)
(4, 1, 0, (1, 0, 0), 12): (1, 1)
(4, 1, 0, (1, 0, 0), 13): (2, 2)
(4, 1, 0, (1, 0, 0), 14): (1, 1)
(4, 1, 0, (1, 0, 1), -11): (0, 1)
(4, 1, 0, (1, 0, 1), -10): (0, 1)
(4, 1, 0, (1, 0, 1), -9): (1, 2)
(4, 1, 0, (1, 0, 1), -7): (0, 7)
(4, 1, 0, (1, 0, 1), -6): (1, 16)
(4, 1, 0, (1, 0, 1), -5): (6, 26)
(4, 1, 0, (1, 0, 1), -4): (13, 48)
(4, 1, 0, (1, 0, 1), -3): (39, 105)
(4, 1, 0, (1, 0, 1), -2): (73, 151)
(4, 1, 0, (1, 0, 1), -1): (144, 252)
(4, 1, 0, (1, 0, 1), 0): (254, 370)
(4, 1, 0, (1, 0, 1), 1): (208, 256)
(4, 1, 0, (1, 0, 1), 2): (145, 167)
(4, 1, 0, (1, 0, 1), 3): (109, 117)
(4, 1, 0, (1, 0, 1), 4): (60, 61)
(4, 1, 0, (1, 0, 1), 5): (48, 49)
(4, 1, 0, (1, 0, 1), 6): (24, 25)
(4, 1, 0, (1, 0, 1), 7): (14, 14)
(4, 1, 0, (1, 0, 1), 8): (8, 8)
(4, 1, 0, (1, 0, 1), 9): (12, 12)
(4, 1, 0, (1, 0, 1), 10): (1, 1)
(4, 1, 0, (1, 0, 1), 11): (1, 1)
(4, 1, 0, (1, 1, 0), -13): (0, 1)
(4, 1, 0, (1, 1, 0), -11): (0, 2)
(4, 1, 0, (1, 1, 0), -10): (0, 3)
(4, 1, 0, (1, 1, 0), -9): (1, 11)
(4, 1, 0, (1, 1, 0), -8): (2, 11)
(4, 1, 0, (1, 1, 0), -7): (0, 31)
(4, 1, 0, (1, 1, 0), -6): (5, 51)
(4, 1, 0, (1, 1, 0), -5): (21, 101)
(4, 1, 0, (1, 1, 0), -4): (53, 180)
(4, 1, 0, (1, 1, 0), -3): (87, 264)
(4, 1, 0, (1, 1, 0), -2): (176, 399)
(4, 1, 0, (1, 1, 0), -1): (291, 511)
(4, 1, 0, (1, 1, 0), 0): (517, 749)
(4, 1, 0, (1, 1, 0), 1): (416, 508)
(4, 1, 0, (1, 1, 0), 2): (307, 344)
(4, 1, 0, (1, 1, 0), 3): (181, 197)
(4, 1, 0, (1, 1, 0), 4): (146, 149)
(4, 1, 0, (1, 1, 0), 5): (85, 86)
(4, 1, 0, (1, 1, 0), 6): (63, 64)
(4, 1, 0, (1, 1, 0), 7): (42, 42)
(4, 1, 0, (1, 1, 0), 8): (12, 12)
(4, 1, 0, (1, 1, 0), 9): (12, 12)
(4, 1, 0, (1, 1, 0), 10): (10, 10)
(4, 1, 0, (1, 1, 0), 11): (5, 5)
(4, 1, 0, (1, 1, 0), 12): (1, 1)
(4, 1, 0, (1, 1, 1), -10): (0, 2)
(4, 1, 0, (1, 1, 1), -9): (0, 4)
(4, 1, 0, (1, 1, 1), -8): (1, 2)
(4, 1, 0, (1, 1, 1), -7): (0, 6)
(4, 1, 0, (1, 1, 1), -6): (0, 15)
(4, 1, 0, (1, 1, 1), -5): (3, 13)
(4, 1, 0, (1, 1, 1), -4): (10, 43)
(4, 1, 0, (1, 1, 1), -3): (30, 70)
(4, 1, 0, (1, 1, 1), -2): (49, 83)
(4, 1, 0, (1, 1, 1), -1): (66, 108)
(4, 1, 0, (1, 1, 1), 0): (129, 171)
(4, 1, 0, (1, 1, 1), 1): (109, 126)
(4, 1, 0, (1, 1, 1), 2): (82, 86)
(4, 1, 0, (1, 1, 1), 3): (69, 73)
(4, 1, 0, (1, 1, 1), 4): (44, 44)
(4, 1, 0, (1, 1, 1), 5): (36, 36)
(4, 1, 0, (1, 1, 1), 6): (26, 26)
(4, 1, 0, (1, 1, 1), 7): (16, 16)
(4, 1, 0, (1, 1, 1), 8): (5, 5)
(4, 1, 0, (1, 1, 1), 9): (3, 3)
(4, 1, 0, (1, 1, 1), 11): (2, 2)
(4, 1, 0, (1, 1, 1), 12): (1, 1)
(4, 1, 1, (0, 0, 0), -16): (0, 2)
(4, 1, 1, (0, 0, 0), -15): (0, 1)
(4, 1, 1, (0, 0, 0), -14): (0, 4)
(4, 1, 1, (0, 0, 0), -13): (0, 6)
(4, 1, 1, (0, 0, 0), -12): (0, 15)
(4, 1, 1, (0, 0, 0), -11): (0, 24)
(4, 1, 1, (0, 0, 0), -10): (1, 66)
(4, 1, 1, (0, 0, 0), -9): (1, 116)
(4, 1, 1, (0, 0, 0), -8): (3, 172)
(4, 1, 1, (0, 0, 0), -7): (7, 332)
(4, 1, 1, (0, 0, 0), -6): (37, 635)
(4, 1, 1, (0, 0, 0), -5): (87, 970)
(4, 1, 1, (0, 0, 0), -4): (207, 1799)
(4, 1, 1, (0, 0, 0), -3): (592, 3024)
(4, 1, 1, (0, 0, 0), -2): (1282, 4587)
(4, 1, 1, (0, 0, 0), -1): (2627, 6458)
(4, 1, 1, (0, 0, 0), 0): (4911, 8857)
(4, 1, 1, (0, 0, 0), 1): (4186, 6047)
(4, 1, 1, (0, 0, 0), 2): (3304, 4086)
(4, 1, 1, (0, 0, 0), 3): (2290, 2612)
(4, 1, 1, (0, 0, 0), 4): (1468, 1586)
(4, 1, 1, (0, 0, 0), 5): (824, 864)
(4, 1, 1, (0, 0, 0), 6): (464, 475)
(4, 1, 1, (0, 0, 0), 7): (239, 245)
(4, 1, 1, (0, 0, 0), 8): (130, 132)
(4, 1, 1, (0, 0, 0), 9): (90, 92)
(4, 1, 1, (0, 0, 0), 10): (45, 45)
(4, 1, 1, (0, 0, 0), 11): (22, 23)
(4, 1, 1, (0, 0, 0), 12): (14, 14)
(4, 1, 1, (0, 0, 0), 13): (6, 6)
(4, 1, 1, (0, 0, 0), 14): (1, 1)
(4, 1, 1, (0, 0, 0), 15): (1, 1)
(4, 1, 1, (0, 0, 0), 16): (1, 1)
(4, 1, 1, (0, 0, 1), -11): (0, 2)
(4, 1, 1, (0, 0, 1), -10): (0, 2)
(4, 1, 1, (0, 0, 1), -9): (0, 8)
(4, 1, 1, (0, 0, 1), -8): (0, 8)
(4, 1, 1, (0, 0, 1), -7): (0, 9)
(4, 1, 1, (0, 0, 1), -6): (3, 21)
(4, 1, 1, (0, 0, 1), -5): (5, 47)
(4, 1, 1, (0, 0, 1), -4): (14, 85)
(4, 1, 1, (0, 0, 1), -3): (35, 122)
(4, 1, 1, (0, 0, 1), -2): (105, 244)
(4, 1, 1, (0, 0, 1), -1): (215, 413)
(4, 1, 1, (0, 0, 1), 0): (342, 538)
(4, 1, 1, (0, 0, 1), 1): (336, 446)
(4, 1, 1, (0, 0, 1), 2): (297, 341)
(4, 1, 1, (0, 0, 1), 3): (208, 226)
(4, 1, 1, (0, 0, 1), 4): (158, 166)
(4, 1, 1, (0, 0, 1), 5): (99, 101)
(4, 1, 1, (0, 0, 1), 6): (51, 51)
(4, 1, 1, (0, 0, 1), 7): (26, 27)
(4, 1, 1, (0, 0, 1), 8): (14, 14)
(4, 1, 1, (0, 0, 1), 9): (7, 7)
(4, 1, 1, (0, 0, 1), 10): (3, 3)
(4, 1, 1, (0, 0, 1), 11): (2, 2)
(4, 1, 1, (0, 0, 1), 13): (1, 1)
(4, 1, 1, (0, 1, 0), -12): (0, 4)
(4, 1, 1, (0, 1, 0), -11): (0, 3)
(4, 1, 1, (0, 1, 0), -10): (0, 9)
(4, 1, 1, (0, 1, 0), -9): (0, 22)
(4, 1, 1, (0, 1, 0), -8): (0, 25)
(4, 1, 1, (0, 1, 0), -7): (3, 51)
(4, 1, 1, (0, 1, 0), -6): (5, 78)
(4, 1, 1, (0, 1, 0), -5): (15, 154)
(4, 1, 1, (0, 1, 0), -4): (48, 270)
(4, 1, 1, (0, 1, 0), -3): (121, 441)
(4, 1, 1, (0, 1, 0), -2): (221, 688)
(4, 1, 1, (0, 1, 0), -1): (587, 1221)
(4, 1, 1, (0, 1, 0), 0): (995, 1627)
(4, 1, 1, (0, 1, 0), 1): (893, 1226)
(4, 1, 1, (0, 1, 0), 2): (748, 917)
(4, 1, 1, (0, 1, 0), 3): (576, 648)
(4, 1, 1, (0, 1, 0), 4): (351, 378)
(4, 1, 1, (0, 1, 0), 5): (268, 274)
(4, 1, 1, (0, 1, 0), 6): (121, 125)
(4, 1, 1, (0, 1, 0), 7): (52, 52)
(4, 1, 1, (0, 1, 0), 8): (30, 30)
(4, 1, 1, (0, 1, 0), 9): (14, 14)
(4, 1, 1, (0, 1, 0), 10): (9, 9)
(4, 1, 1, (0, 1, 0), 11): (7, 7)
(4, 1, 1, (0, 1, 0), 12): (3, 3)
(4, 1, 1, (0, 1, 0), 14): (1, 1)
(4, 1, 1, (0, 1, 0), 15): (2, 2)
(4, 1, 1, (0, 1, 1), -10): (0, 1)
(4, 1, 1, (0, 1, 1), -9): (1, 5)
(4, 1, 1, (0, 1, 1), -8): (0, 5)
(4, 1, 1, (0, 1, 1), -7): (0, 7)
(4, 1, 1, (0, 1, 1), -6): (3, 31)
(4, 1, 1, (0, 1, 1), -5): (7, 43)
(4, 1, 1, (0, 1, 1), -4): (17, 67)
(4, 1, 1, (0, 1, 1), -3): (24, 103)
(4, 1, 1, (0, 1, 1), -2): (86, 192)
(4, 1, 1, (0, 1, 1), -1): (148, 263)
(4, 1, 1, (0, 1, 1), 0): (305, 415)
(4, 1, 1, (0, 1, 1), 1): (268, 330)
(4, 1, 1, (0, 1, 1), 2): (236, 269)
(4, 1, 1, (0, 1, 1), 3): (160, 174)
(4, 1, 1, (0, 1, 1), 4): (107, 111)
(4, 1, 1, (0, 1, 1), 5): (70, 71)
(4, 1, 1, (0, 1, 1), 6): (46, 46)
(4, 1, 1, (0, 1, 1), 7): (23, 24)
(4, 1, 1, (0, 1, 1), 8): (19, 19)
(4, 1, 1, (0, 1, 1), 9): (10, 10)
(4, 1, 1, (0, 1, 1), 10): (5, 5)
(4, 1, 1, (0, 1, 1), 11): (3, 3)
(4, 1, 1, (1, 0, 0), -16): (0, 1)
(4, 1, 1, (1, 0, 0), -14): (0, 2)
(4, 1, 1, (1, 0, 0), -13): (0, 2)
(4, 1, 1, (1, 0, 0), -12): (0, 5)
(4, 1, 1, (1, 0, 0), -11): (0, 10)
(4, 1, 1, (1, 0, 0), -10): (1, 28)
(4, 1, 1, (1, 0, 0), -9): (1, 46)
(4, 1, 1, (1, 0, 0), -8): (1, 69)
(4, 1, 1, (1, 0, 0), -7): (5, 141)
(4, 1, 1, (1, 0, 0), -6): (19, 214)
(4, 1, 1, (1, 0, 0), -5): (50, 445)
(4, 1, 1, (1, 0, 0), -4): (114, 766)
(4, 1, 1, (1, 0, 0), -3): (301, 1236)
(4, 1, 1, (1, 0, 0), -2): (597, 1923)
(4, 1, 1, (1, 0, 0), -1): (1162, 2597)
(4, 1, 1, (1, 0, 0), 0): (2091, 3529)
(4, 1, 1, (1, 0, 0), 1): (1901, 2597)
(4, 1, 1, (1, 0, 0), 2): (1456, 1776)
(4, 1, 1, (1, 0, 0), 3): (964, 1079)
(4, 1, 1, (1, 0, 0), 4): (624, 670)
(4, 1, 1, (1, 0, 0), 5): (417, 429)
(4, 1, 1, (1, 0, 0), 6): (210, 213)
(4, 1, 1, (1, 0, 0), 7): (138, 143)
(4, 1, 1, (1, 0, 0), 8): (73, 74)
(4, 1, 1, (1, 0, 0), 9): (36, 36)
(4, 1, 1, (1, 0, 0), 10): (20, 20)
(4, 1, 1, (1, 0, 0), 11): (14, 14)
(4, 1, 1, (1, 0, 0), 12): (6, 6)
(4, 1, 1, (1, 0, 0), 13): (3, 3)
(4, 1, 1, (1, 0, 0), 14): (1, 1)
(4, 1, 1, (1, 0, 0), 15): (1, 1)
(4, 1, 1, (1, 0, 1), -12): (0, 1)
(4, 1, 1, (1, 0, 1), -11): (0, 3)
(4, 1, 1, (1, 0, 1), -10): (0, 2)
(4, 1, 1, (1, 0, 1), -9): (0, 5)
(4, 1, 1, (1, 0, 1), -8): (0, 10)
(4, 1, 1, (1, 0, 1), -7): (0, 12)
(4, 1, 1, (1, 0, 1), -6): (2, 28)
(4, 1, 1, (1, 0, 1), -5): (10, 70)
(4, 1, 1, (1, 0, 1), -4): (26, 110)
(4, 1, 1, (1, 0, 1), -3): (60, 173)
(4, 1, 1, (1, 0, 1), -2): (106, 281)
(4, 1, 1, (1, 0, 1), -1): (240, 430)
(4, 1, 1, (1, 0, 1), 0): (400, 592)
(4, 1, 1, (1, 0, 1), 1): (357, 467)
(4, 1, 1, (1, 0, 1), 2): (313, 372)
(4, 1, 1, (1, 0, 1), 3): (219, 243)
(4, 1, 1, (1, 0, 1), 4): (158, 164)
(4, 1, 1, (1, 0, 1), 5): (105, 108)
(4, 1, 1, (1, 0, 1), 6): (67, 67)
(4, 1, 1, (1, 0, 1), 7): (41, 41)
(4, 1, 1, (1, 0, 1), 8): (10, 10)
(4, 1, 1, (1, 0, 1), 9): (7, 7)
(4, 1, 1, (1, 0, 1), 10): (6, 6)
(4, 1, 1, (1, 0, 1), 11): (3, 3)
(4, 1, 1, (1, 0, 1), 12): (2, 2)
(4, 1, 1, (1, 1, 0), -16): (0, 1)
(4, 1, 1, (1, 1, 0), -14): (0, 2)
(4, 1, 1, (1, 1, 0), -13): (0, 2)
(4, 1, 1, (1, 1, 0), -12): (0, 3)
(4, 1, 1, (1, 1, 0), -11): (0, 2)
(4, 1, 1, (1, 1, 0), -10): (0, 3)
(4, 1, 1, (1, 1, 0), -9): (1, 24)
(4, 1, 1, (1, 1, 0), -8): (2, 29)
(4, 1, 1, (1, 1, 0), -7): (2, 58)
(4, 1, 1, (1, 1, 0), -6): (8, 78)
(4, 1, 1, (1, 1, 0), -5): (21, 151)
(4, 1, 1, (1, 1, 0), -4): (45, 249)
(4, 1, 1, (1, 1, 0), -3): (125, 410)
(4, 1, 1, (1, 1, 0), -2): (213, 611)
(4, 1, 1, (1, 1, 0), -1): (448, 870)
(4, 1, 1, (1, 1, 0), 0): (726, 1140)
(4, 1, 1, (1, 1, 0), 1): (738, 946)
(4, 1, 1, (1, 1, 0), 2): (556, 654)
(4, 1, 1, (1, 1, 0), 3): (383, 422)
(4, 1, 1, (1, 1, 0), 4): (251, 265)
(4, 1, 1, (1, 1, 0), 5): (189, 196)
(4, 1, 1, (1, 1, 0), 6): (96, 97)
(4, 1, 1, (1, 1, 0), 7): (74, 75)
(4, 1, 1, (1, 1, 0), 8): (34, 34)
(4, 1, 1, (1, 1, 0), 9): (20, 20)
(4, 1, 1, (1, 1, 0), 10): (10, 10)
(4, 1, 1, (1, 1, 0), 11): (4, 4)
(4, 1, 1, (1, 1, 0), 12): (1, 1)
(4, 1, 1, (1, 1, 0), 13): (1, 1)
(4, 1, 1, (1, 1, 0), 15): (1, 1)
(4, 1, 1, (1, 1, 1), -14): (0, 1)
(4, 1, 1, (1, 1, 1), -10): (0, 1)
(4, 1, 1, (1, 1, 1), -9): (0, 6)
(4, 1, 1, (1, 1, 1), -8): (0, 6)
(4, 1, 1, (1, 1, 1), -7): (0, 12)
(4, 1, 1, (1, 1, 1), -6): (3, 19)
(4, 1, 1, (1, 1, 1), -5): (11, 40)
(4, 1, 1, (1, 1, 1), -4): (19, 77)
(4, 1, 1, (1, 1, 1), -3): (49, 116)
(4, 1, 1, (1, 1, 1), -2): (72, 154)
(4, 1, 1, (1, 1, 1), -1): (144, 245)
(4, 1, 1, (1, 1, 1), 0): (267, 385)
(4, 1, 1, (1, 1, 1), 1): (270, 331)
(4, 1, 1, (1, 1, 1), 2): (230, 254)
(4, 1, 1, (1, 1, 1), 3): (159, 173)
(4, 1, 1, (1, 1, 1), 4): (95, 98)
(4, 1, 1, (1, 1, 1), 5): (86, 87)
(4, 1, 1, (1, 1, 1), 6): (50, 50)
(4, 1, 1, (1, 1, 1), 7): (31, 32)
(4, 1, 1, (1, 1, 1), 8): (15, 15)
(4, 1, 1, (1, 1, 1), 9): (7, 7)
(4, 1, 1, (1, 1, 1), 10): (2, 2)
(4, 1, 2, (0, 0, 0), -16): (0, 1)
(4, 1, 2, (0, 0, 0), -15): (0, 1)
(4, 1, 2, (0, 0, 0), -14): (0, 3)
(4, 1, 2, (0, 0, 0), -13): (0, 4)
(4, 1, 2, (0, 0, 0), -12): (0, 12)
(4, 1, 2, (0, 0, 0), -11): (0, 16)
(4, 1, 2, (0, 0, 0), -10): (0, 49)
(4, 1, 2, (0, 0, 0), -9): (1, 79)
(4, 1, 2, (0, 0, 0), -8): (2, 132)
(4, 1, 2, (0, 0, 0), -7): (3, 236)
(4, 1, 2, (0, 0, 0), -6): (21, 483)
(4, 1, 2, (0, 0, 0), -5): (44, 705)
(4, 1, 2, (0, 0, 0), -4): (122, 1310)
(4, 1, 2, (0, 0, 0), -3): (377, 2252)
(4, 1, 2, (0, 0, 0), -2): (894, 3461)
(4, 1, 2, (0, 0, 0), -1): (1866, 4875)
(4, 1, 2, (0, 0, 0), 0): (3639, 6825)
(4, 1, 2, (0, 0, 0), 1): (3329, 4937)
(4, 1, 2, (0, 0, 0), 2): (2618, 3307)
(4, 1, 2, (0, 0, 0), 3): (1952, 2246)
(4, 1, 2, (0, 0, 0), 4): (1278, 1384)
(4, 1, 2, (0, 0, 0), 5): (742, 779)
(4, 1, 2, (0, 0, 0), 6): (459, 475)
(4, 1, 2, (0, 0, 0), 7): (261, 266)
(4, 1, 2, (0, 0, 0), 8): (158, 159)
(4, 1, 2, (0, 0, 0), 9): (90, 92)
(4, 1, 2, (0, 0, 0), 10): (45, 45)
(4, 1, 2, (0, 0, 0), 11): (26, 27)
(4, 1, 2, (0, 0, 0), 12): (14, 14)
(4, 1, 2, (0, 0, 0), 13): (5, 5)
(4, 1, 2, (0, 0, 0), 14): (2, 2)
(4, 1, 2, (0, 0, 0), 16): (2, 2)
(4, 1, 2, (0, 0, 1), -11): (0, 2)
(4, 1, 2, (0, 0, 1), -10): (0, 7)
(4, 1, 2, (0, 0, 1), -9): (0, 10)
(4, 1, 2, (0, 0, 1), -8): (0, 10)
(4, 1, 2, (0, 0, 1), -7): (3, 22)
(4, 1, 2, (0, 0, 1), -6): (1, 32)
(4, 1, 2, (0, 0, 1), -5): (6, 78)
(4, 1, 2, (0, 0, 1), -4): (21, 116)
(4, 1, 2, (0, 0, 1), -3): (35, 190)
(4, 1, 2, (0, 0, 1), -2): (99, 327)
(4, 1, 2, (0, 0, 1), -1): (243, 560)
(4, 1, 2, (0, 0, 1), 0): (436, 762)
(4, 1, 2, (0, 0, 1), 1): (453, 623)
(4, 1, 2, (0, 0, 1), 2): (405, 501)
(4, 1, 2, (0, 0, 1), 3): (316, 358)
(4, 1, 2, (0, 0, 1), 4): (227, 255)
(4, 1, 2, (0, 0, 1), 5): (162, 166)
(4, 1, 2, (0, 0, 1), 6): (99, 102)
(4, 1, 2, (0, 0, 1), 7): (42, 43)
(4, 1, 2, (0, 0, 1), 8): (31, 31)
(4, 1, 2, (0, 0, 1), 9): (19, 19)
(4, 1, 2, (0, 0, 1), 10): (7, 7)
(4, 1, 2, (0, 0, 1), 11): (8, 8)
(4, 1, 2, (0, 0, 1), 12): (3, 3)
(4, 1, 2, (0, 0, 1), 13): (1, 1)
(4, 1, 2, (0, 0, 1), 15): (1, 1)
(4, 1, 2, (0, 1, 0), -13): (0, 1)
(4, 1, 2, (0, 1, 0), -12): (0, 4)
(4, 1, 2, (0, 1, 0), -10): (0, 11)
(4, 1, 2, (0, 1, 0), -9): (0, 21)
(4, 1, 2, (0, 1, 0), -8): (1, 24)
(4, 1, 2, (0, 1, 0), -7): (1, 46)
(4, 1, 2, (0, 1, 0), -6): (3, 83)
(4, 1, 2, (0, 1, 0), -5): (14, 152)
(4, 1, 2, (0, 1, 0), -4): (38, 303)
(4, 1, 2, (0, 1, 0), -3): (99, 481)
(4, 1, 2, (0, 1, 0), -2): (244, 825)
(4, 1, 2, (0, 1, 0), -1): (550, 1327)
(4, 1, 2, (0, 1, 0), 0): (1043, 1855)
(4, 1, 2, (0, 1, 0), 1): (1164, 1643)
(4, 1, 2, (0, 1, 0), 2): (1002, 1237)
(4, 1, 2, (0, 1, 0), 3): (827, 944)
(4, 1, 2, (0, 1, 0), 4): (564, 616)
(4, 1, 2, (0, 1, 0), 5): (348, 359)
(4, 1, 2, (0, 1, 0), 6): (196, 198)
(4, 1, 2, (0, 1, 0), 7): (123, 126)
(4, 1, 2, (0, 1, 0), 8): (46, 46)
(4, 1, 2, (0, 1, 0), 9): (37, 37)
(4, 1, 2, (0, 1, 0), 10): (19, 19)
(4, 1, 2, (0, 1, 0), 11): (16, 16)
(4, 1, 2, (0, 1, 0), 12): (5, 5)
(4, 1, 2, (0, 1, 0), 13): (1, 1)
(4, 1, 2, (0, 1, 0), 14): (1, 1)
(4, 1, 2, (0, 1, 0), 15): (1, 1)
(4, 1, 2, (0, 1, 0), 16): (1, 1)
(4, 1, 2, (0, 1, 1), -13): (0, 1)
(4, 1, 2, (0, 1, 1), -11): (0, 1)
(4, 1, 2, (0, 1, 1), -10): (0, 2)
(4, 1, 2, (0, 1, 1), -9): (1, 5)
(4, 1, 2, (0, 1, 1), -8): (0, 5)
(4, 1, 2, (0, 1, 1), -7): (0, 18)
(4, 1, 2, (0, 1, 1), -6): (2, 32)
(4, 1, 2, (0, 1, 1), -5): (4, 42)
(4, 1, 2, (0, 1, 1), -4): (7, 45)
(4, 1, 2, (0, 1, 1), -3): (22, 113)
(4, 1, 2, (0, 1, 1), -2): (59, 190)
(4, 1, 2, (0, 1, 1), -1): (115, 277)
(4, 1, 2, (0, 1, 1), 0): (260, 413)
(4, 1, 2, (0, 1, 1), 1): (302, 388)
(4, 1, 2, (0, 1, 1), 2): (253, 305)
(4, 1, 2, (0, 1, 1), 3): (190, 214)
(4, 1, 2, (0, 1, 1), 4): (150, 162)
(4, 1, 2, (0, 1, 1), 5): (78, 83)
(4, 1, 2, (0, 1, 1), 6): (64, 66)
(4, 1, 2, (0, 1, 1), 7): (37, 37)
(4, 1, 2, (0, 1, 1), 8): (19, 19)
(4, 1, 2, (0, 1, 1), 9): (18, 18)
(4, 1, 2, (0, 1, 1), 10): (3, 3)
(4, 1, 2, (0, 1, 1), 11): (3, 3)
(4, 1, 2, (0, 1, 1), 12): (2, 2)
(4, 1, 2, (0, 1, 1), 13): (1, 1)
(4, 1, 2, (1, 0, 0), -14): (0, 1)
(4, 1, 2, (1, 0, 0), -13): (0, 2)
(4, 1, 2, (1, 0, 0), -12): (0, 4)
(4, 1, 2, (1, 0, 0), -11): (0, 8)
(4, 1, 2, (1, 0, 0), -10): (0, 24)
(4, 1, 2, (1, 0, 0), -9): (0, 34)
(4, 1, 2, (1, 0, 0), -8): (0, 66)
(4, 1, 2, (1, 0, 0), -7): (4, 135)
(4, 1, 2, (1, 0, 0), -6): (13, 231)
(4, 1, 2, (1, 0, 0), -5): (31, 383)
(4, 1, 2, (1, 0, 0), -4): (78, 673)
(4, 1, 2, (1, 0, 0), -3): (213, 1154)
(4, 1, 2, (1, 0, 0), -2): (549, 1811)
(4, 1, 2, (1, 0, 0), -1): (942, 2409)
(4, 1, 2, (1, 0, 0), 0): (1938, 3451)
(4, 1, 2, (1, 0, 0), 1): (1845, 2635)
(4, 1, 2, (1, 0, 0), 2): (1436, 1795)
(4, 1, 2, (1, 0, 0), 3): (1080, 1239)
(4, 1, 2, (1, 0, 0), 4): (753, 817)
(4, 1, 2, (1, 0, 0), 5): (473, 495)
(4, 1, 2, (1, 0, 0), 6): (325, 331)
(4, 1, 2, (1, 0, 0), 7): (174, 177)
(4, 1, 2, (1, 0, 0), 8): (108, 109)
(4, 1, 2, (1, 0, 0), 9): (50, 51)
(4, 1, 2, (1, 0, 0), 10): (33, 33)
(4, 1, 2, (1, 0, 0), 11): (22, 22)
(4, 1, 2, (1, 0, 0), 12): (14, 14)
(4, 1, 2, (1, 0, 0), 13): (5, 5)
(4, 1, 2, (1, 0, 0), 14): (1, 1)
(4, 1, 2, (1, 0, 0), 15): (1, 1)
(4, 1, 2, (1, 0, 1), -12): (0, 1)
(4, 1, 2, (1, 0, 1), -11): (0, 2)
(4, 1, 2, (1, 0, 1), -10): (0, 1)
(4, 1, 2, (1, 0, 1), -9): (0, 7)
(4, 1, 2, (1, 0, 1), -8): (1, 10)
(4, 1, 2, (1, 0, 1), -7): (1, 21)
(4, 1, 2, (1, 0, 1), -6): (1, 43)
(4, 1, 2, (1, 0, 1), -5): (8, 68)
(4, 1, 2, (1, 0, 1), -4): (26, 125)
(4, 1, 2, (1, 0, 1), -3): (47, 226)
(4, 1, 2, (1, 0, 1), -2): (114, 328)
(4, 1, 2, (1, 0, 1), -1): (209, 457)
(4, 1, 2, (1, 0, 1), 0): (403, 690)
(4, 1, 2, (1, 0, 1), 1): (431, 598)
(4, 1, 2, (1, 0, 1), 2): (399, 499)
(4, 1, 2, (1, 0, 1), 3): (313, 349)
(4, 1, 2, (1, 0, 1), 4): (223, 241)
(4, 1, 2, (1, 0, 1), 5): (131, 141)
(4, 1, 2, (1, 0, 1), 6): (92, 92)
(4, 1, 2, (1, 0, 1), 7): (71, 71)
(4, 1, 2, (1, 0, 1), 8): (40, 41)
(4, 1, 2, (1, 0, 1), 9): (23, 23)
(4, 1, 2, (1, 0, 1), 10): (13, 13)
(4, 1, 2, (1, 0, 1), 11): (5, 5)
(4, 1, 2, (1, 0, 1), 12): (1, 1)
(4, 1, 2, (1, 0, 1), 13): (3, 3)
(4, 1, 2, (1, 0, 1), 15): (1, 1)
(4, 1, 2, (1, 0, 1), 16): (2, 2)
(4, 1, 2, (1, 0, 1), 18): (1, 1)
(4, 1, 2, (1, 1, 0), -16): (0, 1)
(4, 1, 2, (1, 1, 0), -13): (0, 1)
(4, 1, 2, (1, 1, 0), -12): (0, 3)
(4, 1, 2, (1, 1, 0), -11): (0, 1)
(4, 1, 2, (1, 1, 0), -10): (0, 7)
(4, 1, 2, (1, 1, 0), -9): (1, 12)
(4, 1, 2, (1, 1, 0), -8): (0, 21)
(4, 1, 2, (1, 1, 0), -7): (2, 60)
(4, 1, 2, (1, 1, 0), -6): (6, 78)
(4, 1, 2, (1, 1, 0), -5): (11, 150)
(4, 1, 2, (1, 1, 0), -4): (30, 275)
(4, 1, 2, (1, 1, 0), -3): (93, 448)
(4, 1, 2, (1, 1, 0), -2): (213, 734)
(4, 1, 2, (1, 1, 0), -1): (428, 991)
(4, 1, 2, (1, 1, 0), 0): (813, 1406)
(4, 1, 2, (1, 1, 0), 1): (915, 1259)
(4, 1, 2, (1, 1, 0), 2): (708, 864)
(4, 1, 2, (1, 1, 0), 3): (571, 633)
(4, 1, 2, (1, 1, 0), 4): (393, 423)
(4, 1, 2, (1, 1, 0), 5): (249, 265)
(4, 1, 2, (1, 1, 0), 6): (161, 163)
(4, 1, 2, (1, 1, 0), 7): (122, 125)
(4, 1, 2, (1, 1, 0), 8): (65, 66)
(4, 1, 2, (1, 1, 0), 9): (37, 37)
(4, 1, 2, (1, 1, 0), 10): (24, 24)
(4, 1, 2, (1, 1, 0), 11): (11, 11)
(4, 1, 2, (1, 1, 0), 12): (6, 6)
(4, 1, 2, (1, 1, 0), 13): (4, 4)
(4, 1, 2, (1, 1, 0), 15): (1, 1)
(4, 1, 2, (1, 1, 0), 17): (1, 1)
(4, 1, 2, (1, 1, 1), -11): (0, 1)
(4, 1, 2, (1, 1, 1), -9): (0, 5)
(4, 1, 2, (1, 1, 1), -8): (0, 8)
(4, 1, 2, (1, 1, 1), -7): (1, 19)
(4, 1, 2, (1, 1, 1), -6): (2, 17)
(4, 1, 2, (1, 1, 1), -5): (9, 33)
(4, 1, 2, (1, 1, 1), -4): (7, 64)
(4, 1, 2, (1, 1, 1), -3): (25, 126)
(4, 1, 2, (1, 1, 1), -2): (60, 183)
(4, 1, 2, (1, 1, 1), -1): (117, 275)
(4, 1, 2, (1, 1, 1), 0): (270, 453)
(4, 1, 2, (1, 1, 1), 1): (324, 443)
(4, 1, 2, (1, 1, 1), 2): (241, 295)
(4, 1, 2, (1, 1, 1), 3): (181, 209)
(4, 1, 2, (1, 1, 1), 4): (158, 164)
(4, 1, 2, (1, 1, 1), 5): (96, 99)
(4, 1, 2, (1, 1, 1), 6): (67, 68)
(4, 1, 2, (1, 1, 1), 7): (48, 48)
(4, 1, 2, (1, 1, 1), 8): (22, 22)
(4, 1, 2, (1, 1, 1), 9): (9, 9)
(4, 1, 2, (1, 1, 1), 10): (6, 6)
(4, 1, 2, (1, 1, 1), 11): (2, 2)
(4, 1, 2, (1, 1, 1), 12): (2, 2)
(4, 1, 2, (1, 1, 1), 15): (1, 1)
(5, 0, 0, (0, 0, 0), -18): (0, 1)
(5, 0, 0, (0, 0, 0), -16): (0, 2)
(5, 0, 0, (0, 0, 0), -15): (0, 4)
(5, 0, 0, (0, 0, 0), -14): (0, 4)
(5, 0, 0, (0, 0, 0), -13): (0, 15)
(5, 0, 0, (0, 0, 0), -12): (0, 30)
(5, 0, 0, (0, 0, 0), -11): (1, 67)
(5, 0, 0, (0, 0, 0), -10): (0, 108)
(5, 0, 0, (0, 0, 0), -9): (2, 193)
(5, 0, 0, (0, 0, 0), -8): (3, 333)
(5, 0, 0, (0, 0, 0), -7): (11, 592)
(5, 0, 0, (0, 0, 0), -6): (30, 995)
(5, 0, 0, (0, 0, 0), -5): (86, 1614)
(5, 0, 0, (0, 0, 0), -4): (218, 2697)
(5, 0, 0, (0, 0, 0), -3): (564, 4282)
(5, 0, 0, (0, 0, 0), -2): (1340, 6283)
(5, 0, 0, (0, 0, 0), -1): (2867, 8900)
(5, 0, 0, (0, 0, 0), 0): (5329, 11204)
(5, 0, 0, (0, 0, 0), 1): (5197, 8168)
(5, 0, 0, (0, 0, 0), 2): (4331, 5800)
(5, 0, 0, (0, 0, 0), 3): (3136, 3762)
(5, 0, 0, (0, 0, 0), 4): (2049, 2271)
(5, 0, 0, (0, 0, 0), 5): (1198, 1282)
(5, 0, 0, (0, 0, 0), 6): (760, 798)
(5, 0, 0, (0, 0, 0), 7): (426, 439)
(5, 0, 0, (0, 0, 0), 8): (230, 233)
(5, 0, 0, (0, 0, 0), 9): (136, 138)
(5, 0, 0, (0, 0, 0), 10): (82, 83)
(5, 0, 0, (0, 0, 0), 11): (30, 30)
(5, 0, 0, (0, 0, 0), 12): (16, 16)
(5, 0, 0, (0, 0, 0), 13): (8, 8)
(5, 0, 0, (0, 0, 0), 14): (7, 7)
(5, 0, 0, (0, 0, 0), 15): (1, 1)
(5, 0, 0, (0, 0, 0), 16): (2, 2)
(5, 0, 0, (0, 0, 0), 17): (1, 1)
(5, 0, 0, (0, 0, 1), -10): (0, 1)
(5, 0, 0, (0, 0, 1), -9): (0, 1)
(5, 0, 0, (0, 0, 1), -8): (0, 3)
(5, 0, 0, (0, 0, 1), -7): (0, 4)
(5, 0, 0, (0, 0, 1), -6): (0, 7)
(5, 0, 0, (0, 0, 1), -5): (2, 22)
(5, 0, 0, (0, 0, 1), -4): (3, 20)
(5, 0, 0, (0, 0, 1), -3): (12, 50)
(5, 0, 0, (0, 0, 1), -2): (20, 56)
(5, 0, 0, (0, 0, 1), -1): (39, 80)
(5, 0, 0, (0, 0, 1), 0): (77, 133)
(5, 0, 0, (0, 0, 1), 1): (97, 122)
(5, 0, 0, (0, 0, 1), 2): (79, 92)
(5, 0, 0, (0, 0, 1), 3): (58, 68)
(5, 0, 0, (0, 0, 1), 4): (57, 58)
(5, 0, 0, (0, 0, 1), 5): (33, 33)
(5, 0, 0, (0, 0, 1), 6): (20, 22)
(5, 0, 0, (0, 0, 1), 7): (12, 12)
(5, 0, 0, (0, 0, 1), 8): (3, 3)
(5, 0, 0, (0, 0, 1), 9): (2, 2)
(5, 0, 0, (0, 0, 1), 10): (3, 3)
(5, 0, 0, (0, 0, 1), 12): (1, 1)
(5, 0, 0, (0, 0, 1), 14): (1, 1)
(5, 0, 0, (0, 1, 0), -16): (0, 1)
(5, 0, 0, (0, 1, 0), -15): (0, 1)
(5, 0, 0, (0, 1, 0), -12): (0, 1)
(5, 0, 0, (0, 1, 0), -11): (0, 5)
(5, 0, 0, (0, 1, 0), -10): (0, 6)
(5, 0, 0, (0, 1, 0), -9): (0, 15)
(5, 0, 0, (0, 1, 0), -8): (0, 17)
(5, 0, 0, (0, 1, 0), -7): (0, 35)
(5, 0, 0, (0, 1, 0), -6): (2, 55)
(5, 0, 0, (0, 1, 0), -5): (10, 90)
(5, 0, 0, (0, 1, 0), -4): (19, 159)
(5, 0, 0, (0, 1, 0), -3): (54, 265)
(5, 0, 0, (0, 1, 0), -2): (120, 385)
(5, 0, 0, (0, 1, 0), -1): (236, 595)
(5, 0, 0, (0, 1, 0), 0): (450, 785)
(5, 0, 0, (0, 1, 0), 1): (451, 638)
(5, 0, 0, (0, 1, 0), 2): (372, 445)
(5, 0, 0, (0, 1, 0), 3): (309, 340)
(5, 0, 0, (0, 1, 0), 4): (205, 229)
(5, 0, 0, (0, 1, 0), 5): (110, 116)
(5, 0, 0, (0, 1, 0), 6): (71, 79)
(5, 0, 0, (0, 1, 0), 7): (32, 32)
(5, 0, 0, (0, 1, 0), 8): (14, 15)
(5, 0, 0, (0, 1, 0), 9): (14, 14)
(5, 0, 0, (0, 1, 0), 10): (7, 7)
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(5, 0, 0, (0, 1, 1), -8): (0, 3)
(5, 0, 0, (0, 1, 1), -7): (0, 7)
(5, 0, 0, (0, 1, 1), -6): (0, 5)
(5, 0, 0, (0, 1, 1), -5): (2, 18)
(5, 0, 0, (0, 1, 1), -4): (7, 29)
(5, 0, 0, (0, 1, 1), -3): (14, 43)
(5, 0, 0, (0, 1, 1), -2): (29, 68)
(5, 0, 0, (0, 1, 1), -1): (64, 114)
(5, 0, 0, (0, 1, 1), 0): (89, 121)
(5, 0, 0, (0, 1, 1), 1): (87, 103)
(5, 0, 0, (0, 1, 1), 2): (95, 107)
(5, 0, 0, (0, 1, 1), 3): (60, 64)
(5, 0, 0, (0, 1, 1), 4): (40, 43)
(5, 0, 0, (0, 1, 1), 5): (32, 32)
(5, 0, 0, (0, 1, 1), 6): (19, 19)
(5, 0, 0, (0, 1, 1), 7): (12, 12)
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(5, 0, 0, (1, 0, 0), -11): (1, 18)
(5, 0, 0, (1, 0, 0), -10): (0, 37)
(5, 0, 0, (1, 0, 0), -9): (0, 44)
(5, 0, 0, (1, 0, 0), -8): (2, 75)
(5, 0, 0, (1, 0, 0), -7): (5, 142)
(5, 0, 0, (1, 0, 0), -6): (9, 236)
(5, 0, 0, (1, 0, 0), -5): (25, 407)
(5, 0, 0, (1, 0, 0), -4): (74, 638)
(5, 0, 0, (1, 0, 0), -3): (168, 1080)
(5, 0, 0, (1, 0, 0), -2): (411, 1545)
(5, 0, 0, (1, 0, 0), -1): (816, 2154)
(5, 0, 0, (1, 0, 0), 0): (1461, 2745)
(5, 0, 0, (1, 0, 0), 1): (1364, 1987)
(5, 0, 0, (1, 0, 0), 2): (1156, 1480)
(5, 0, 0, (1, 0, 0), 3): (888, 1051)
(5, 0, 0, (1, 0, 0), 4): (552, 613)
(5, 0, 0, (1, 0, 0), 5): (329, 342)
(5, 0, 0, (1, 0, 0), 6): (230, 235)
(5, 0, 0, (1, 0, 0), 7): (106, 109)
(5, 0, 0, (1, 0, 0), 8): (62, 62)
(5, 0, 0, (1, 0, 0), 9): (30, 31)
(5, 0, 0, (1, 0, 0), 10): (21, 21)
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(5, 0, 0, (1, 0, 1), -9): (0, 2)
(5, 0, 0, (1, 0, 1), -8): (1, 7)
(5, 0, 0, (1, 0, 1), -7): (0, 8)
(5, 0, 0, (1, 0, 1), -6): (1, 17)
(5, 0, 0, (1, 0, 1), -5): (3, 24)
(5, 0, 0, (1, 0, 1), -4): (5, 41)
(5, 0, 0, (1, 0, 1), -3): (17, 72)
(5, 0, 0, (1, 0, 1), -2): (51, 121)
(5, 0, 0, (1, 0, 1), -1): (97, 194)
(5, 0, 0, (1, 0, 1), 0): (185, 284)
(5, 0, 0, (1, 0, 1), 1): (156, 217)
(5, 0, 0, (1, 0, 1), 2): (128, 152)
(5, 0, 0, (1, 0, 1), 3): (127, 139)
(5, 0, 0, (1, 0, 1), 4): (87, 91)
(5, 0, 0, (1, 0, 1), 5): (37, 37)
(5, 0, 0, (1, 0, 1), 6): (30, 32)
(5, 0, 0, (1, 0, 1), 7): (15, 15)
(5, 0, 0, (1, 0, 1), 8): (8, 8)
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(5, 0, 0, (1, 1, 0), -10): (0, 6)
(5, 0, 0, (1, 1, 0), -9): (0, 10)
(5, 0, 0, (1, 1, 0), -8): (1, 19)
(5, 0, 0, (1, 1, 0), -7): (2, 33)
(5, 0, 0, (1, 1, 0), -6): (4, 57)
(5, 0, 0, (1, 1, 0), -5): (7, 97)
(5, 0, 0, (1, 1, 0), -4): (23, 156)
(5, 0, 0, (1, 1, 0), -3): (66, 262)
(5, 0, 0, (1, 1, 0), -2): (124, 355)
(5, 0, 0, (1, 1, 0), -1): (197, 428)
(5, 0, 0, (1, 1, 0), 0): (287, 503)
(5, 0, 0, (1, 1, 0), 1): (305, 410)
(5, 0, 0, (1, 1, 0), 2): (267, 332)
(5, 0, 0, (1, 1, 0), 3): (222, 248)
(5, 0, 0, (1, 1, 0), 4): (155, 168)
(5, 0, 0, (1, 1, 0), 5): (81, 83)
(5, 0, 0, (1, 1, 0), 6): (67, 69)
(5, 0, 0, (1, 1, 0), 7): (37, 37)
(5, 0, 0, (1, 1, 0), 8): (18, 18)
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(5, 0, 0, (1, 1, 1), -6): (2, 14)
(5, 0, 0, (1, 1, 1), -5): (4, 22)
(5, 0, 0, (1, 1, 1), -4): (9, 34)
(5, 0, 0, (1, 1, 1), -3): (18, 51)
(5, 0, 0, (1, 1, 1), -2): (31, 62)
(5, 0, 0, (1, 1, 1), -1): (65, 102)
(5, 0, 0, (1, 1, 1), 0): (82, 122)
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(5, 0, 0, (1, 1, 1), 3): (56, 63)
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(5, 0, 0, (1, 1, 1), 5): (28, 28)
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(5, 0, 1, (0, 0, 0), -12): (0, 26)
(5, 0, 1, (0, 0, 0), -11): (0, 41)
(5, 0, 1, (0, 0, 0), -10): (0, 63)
(5, 0, 1, (0, 0, 0), -9): (2, 132)
(5, 0, 1, (0, 0, 0), -8): (1, 238)
(5, 0, 1, (0, 0, 0), -7): (5, 417)
(5, 0, 1, (0, 0, 0), -6): (17, 710)
(5, 0, 1, (0, 0, 0), -5): (49, 1110)
(5, 0, 1, (0, 0, 0), -4): (122, 1917)
(5, 0, 1, (0, 0, 0), -3): (331, 2959)
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(5, 0, 1, (0, 0, 1), -6): (2, 24)
(5, 0, 1, (0, 0, 1), -5): (5, 44)
(5, 0, 1, (0, 0, 1), -4): (11, 70)
(5, 0, 1, (0, 0, 1), -3): (27, 126)
(5, 0, 1, (0, 0, 1), -2): (58, 191)
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(5, 0, 1, (0, 0, 1), 4): (161, 172)
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(5, 0, 1, (0, 0, 1), 6): (44, 46)
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(5, 0, 1, (0, 1, 0), -8): (0, 29)
(5, 0, 1, (0, 1, 0), -7): (2, 41)
(5, 0, 1, (0, 1, 0), -6): (3, 81)
(5, 0, 1, (0, 1, 0), -5): (9, 148)
(5, 0, 1, (0, 1, 0), -4): (21, 244)
(5, 0, 1, (0, 1, 0), -3): (58, 416)
(5, 0, 1, (0, 1, 0), -2): (147, 633)
(5, 0, 1, (0, 1, 0), -1): (340, 976)
(5, 0, 1, (0, 1, 0), 0): (757, 1457)
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(5, 0, 1, (0, 1, 0), 2): (737, 971)
(5, 0, 1, (0, 1, 0), 3): (573, 669)
(5, 0, 1, (0, 1, 0), 4): (369, 425)
(5, 0, 1, (0, 1, 0), 5): (227, 235)
(5, 0, 1, (0, 1, 0), 6): (126, 134)
(5, 0, 1, (0, 1, 0), 7): (75, 75)
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(5, 0, 1, (0, 1, 0), 9): (26, 26)
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(5, 0, 1, (0, 1, 1), -6): (0, 21)
(5, 0, 1, (0, 1, 1), -5): (6, 41)
(5, 0, 1, (0, 1, 1), -4): (9, 60)
(5, 0, 1, (0, 1, 1), -3): (29, 106)
(5, 0, 1, (0, 1, 1), -2): (63, 199)
(5, 0, 1, (0, 1, 1), -1): (115, 281)
(5, 0, 1, (0, 1, 1), 0): (216, 338)
(5, 0, 1, (0, 1, 1), 1): (232, 296)
(5, 0, 1, (0, 1, 1), 2): (195, 244)
(5, 0, 1, (0, 1, 1), 3): (185, 199)
(5, 0, 1, (0, 1, 1), 4): (140, 154)
(5, 0, 1, (0, 1, 1), 5): (89, 93)
(5, 0, 1, (0, 1, 1), 6): (46, 47)
(5, 0, 1, (0, 1, 1), 7): (27, 27)
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(5, 0, 1, (1, 0, 0), -11): (0, 18)
(5, 0, 1, (1, 0, 0), -10): (0, 28)
(5, 0, 1, (1, 0, 0), -9): (2, 61)
(5, 0, 1, (1, 0, 0), -8): (0, 85)
(5, 0, 1, (1, 0, 0), -7): (3, 174)
(5, 0, 1, (1, 0, 0), -6): (7, 318)
(5, 0, 1, (1, 0, 0), -5): (24, 470)
(5, 0, 1, (1, 0, 0), -4): (64, 770)
(5, 0, 1, (1, 0, 0), -3): (150, 1222)
(5, 0, 1, (1, 0, 0), -2): (390, 1771)
(5, 0, 1, (1, 0, 0), -1): (804, 2443)
(5, 0, 1, (1, 0, 0), 0): (1474, 3040)
(5, 0, 1, (1, 0, 0), 1): (1497, 2327)
(5, 0, 1, (1, 0, 0), 2): (1383, 1811)
(5, 0, 1, (1, 0, 0), 3): (1006, 1214)
(5, 0, 1, (1, 0, 0), 4): (754, 833)
(5, 0, 1, (1, 0, 0), 5): (450, 477)
(5, 0, 1, (1, 0, 0), 6): (261, 269)
(5, 0, 1, (1, 0, 0), 7): (163, 169)
(5, 0, 1, (1, 0, 0), 8): (97, 98)
(5, 0, 1, (1, 0, 0), 9): (50, 51)
(5, 0, 1, (1, 0, 0), 10): (29, 30)
(5, 0, 1, (1, 0, 0), 11): (11, 11)
(5, 0, 1, (1, 0, 0), 12): (7, 7)
(5, 0, 1, (1, 0, 0), 13): (6, 6)
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(5, 0, 1, (1, 0, 1), -10): (0, 4)
(5, 0, 1, (1, 0, 1), -9): (0, 8)
(5, 0, 1, (1, 0, 1), -8): (1, 7)
(5, 0, 1, (1, 0, 1), -7): (2, 19)
(5, 0, 1, (1, 0, 1), -6): (3, 38)
(5, 0, 1, (1, 0, 1), -5): (4, 55)
(5, 0, 1, (1, 0, 1), -4): (9, 81)
(5, 0, 1, (1, 0, 1), -3): (27, 156)
(5, 0, 1, (1, 0, 1), -2): (78, 253)
(5, 0, 1, (1, 0, 1), -1): (169, 366)
(5, 0, 1, (1, 0, 1), 0): (308, 511)
(5, 0, 1, (1, 0, 1), 1): (291, 403)
(5, 0, 1, (1, 0, 1), 2): (242, 301)
(5, 0, 1, (1, 0, 1), 3): (222, 251)
(5, 0, 1, (1, 0, 1), 4): (170, 183)
(5, 0, 1, (1, 0, 1), 5): (86, 90)
(5, 0, 1, (1, 0, 1), 6): (87, 87)
(5, 0, 1, (1, 0, 1), 7): (31, 31)
(5, 0, 1, (1, 0, 1), 8): (26, 26)
(5, 0, 1, (1, 0, 1), 9): (9, 10)
(5, 0, 1, (1, 0, 1), 10): (5, 5)
(5, 0, 1, (1, 0, 1), 11): (4, 5)
(5, 0, 1, (1, 0, 1), 12): (2, 2)
(5, 0, 1, (1, 0, 1), 13): (1, 1)
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(5, 0, 1, (1, 1, 0), -12): (0, 5)
(5, 0, 1, (1, 1, 0), -11): (0, 6)
(5, 0, 1, (1, 1, 0), -10): (0, 10)
(5, 0, 1, (1, 1, 0), -9): (1, 18)
(5, 0, 1, (1, 1, 0), -8): (2, 27)
(5, 0, 1, (1, 1, 0), -7): (3, 65)
(5, 0, 1, (1, 1, 0), -6): (7, 108)
(5, 0, 1, (1, 1, 0), -5): (10, 153)
(5, 0, 1, (1, 1, 0), -4): (30, 264)
(5, 0, 1, (1, 1, 0), -3): (57, 386)
(5, 0, 1, (1, 1, 0), -2): (155, 539)
(5, 0, 1, (1, 1, 0), -1): (253, 686)
(5, 0, 1, (1, 1, 0), 0): (462, 896)
(5, 0, 1, (1, 1, 0), 1): (543, 801)
(5, 0, 1, (1, 1, 0), 2): (508, 654)
(5, 0, 1, (1, 1, 0), 3): (410, 481)
(5, 0, 1, (1, 1, 0), 4): (308, 348)
(5, 0, 1, (1, 1, 0), 5): (215, 223)
(5, 0, 1, (1, 1, 0), 6): (114, 122)
(5, 0, 1, (1, 1, 0), 7): (87, 89)
(5, 0, 1, (1, 1, 0), 8): (39, 40)
(5, 0, 1, (1, 1, 0), 9): (32, 32)
(5, 0, 1, (1, 1, 0), 10): (14, 15)
(5, 0, 1, (1, 1, 0), 11): (3, 3)
(5, 0, 1, (1, 1, 0), 12): (3, 3)
(5, 0, 1, (1, 1, 0), 13): (3, 3)
(5, 0, 1, (1, 1, 0), 17): (1, 1)
(5, 0, 1, (1, 1, 1), -13): (0, 1)
(5, 0, 1, (1, 1, 1), -12): (0, 3)
(5, 0, 1, (1, 1, 1), -11): (0, 3)
(5, 0, 1, (1, 1, 1), -10): (0, 1)
(5, 0, 1, (1, 1, 1), -9): (0, 4)
(5, 0, 1, (1, 1, 1), -8): (0, 10)
(5, 0, 1, (1, 1, 1), -7): (1, 16)
(5, 0, 1, (1, 1, 1), -6): (2, 24)
(5, 0, 1, (1, 1, 1), -5): (1, 36)
(5, 0, 1, (1, 1, 1), -4): (10, 59)
(5, 0, 1, (1, 1, 1), -3): (19, 89)
(5, 0, 1, (1, 1, 1), -2): (45, 127)
(5, 0, 1, (1, 1, 1), -1): (100, 202)
(5, 0, 1, (1, 1, 1), 0): (176, 297)
(5, 0, 1, (1, 1, 1), 1): (205, 269)
(5, 0, 1, (1, 1, 1), 2): (234, 281)
(5, 0, 1, (1, 1, 1), 3): (196, 215)
(5, 0, 1, (1, 1, 1), 4): (126, 135)
(5, 0, 1, (1, 1, 1), 5): (79, 80)
(5, 0, 1, (1, 1, 1), 6): (52, 54)
(5, 0, 1, (1, 1, 1), 7): (33, 34)
(5, 0, 1, (1, 1, 1), 8): (12, 12)
(5, 0, 1, (1, 1, 1), 9): (10, 10)
(5, 0, 1, (1, 1, 1), 10): (8, 8)
(5, 0, 1, (1, 1, 1), 11): (2, 2)
(5, 0, 1, (1, 1, 1), 12): (1, 1)
(5, 0, 1, (1, 1, 1), 13): (1, 1)
(5, 0, 2, (0, 0, 0), -15): (0, 2)
(5, 0, 2, (0, 0, 0), -14): (0, 3)
(5, 0, 2, (0, 0, 0), -13): (0, 9)
(5, 0, 2, (0, 0, 0), -12): (0, 16)
(5, 0, 2, (0, 0, 0), -11): (0, 29)
(5, 0, 2, (0, 0, 0), -10): (0, 58)
(5, 0, 2, (0, 0, 0), -9): (1, 98)
(5, 0, 2, (0, 0, 0), -8): (1, 188)
(5, 0, 2, (0, 0, 0), -7): (4, 322)
(5, 0, 2, (0, 0, 0), -6): (10, 517)
(5, 0, 2, (0, 0, 0), -5): (34, 854)
(5, 0, 2, (0, 0, 0), -4): (90, 1472)
(5, 0, 2, (0, 0, 0), -3): (236, 2308)
(5, 0, 2, (0, 0, 0), -2): (572, 3486)
(5, 0, 2, (0, 0, 0), -1): (1353, 4989)
(5, 0, 2, (0, 0, 0), 0): (2636, 6289)
(5, 0, 2, (0, 0, 0), 1): (2887, 4888)
(5, 0, 2, (0, 0, 0), 2): (2553, 3564)
(5, 0, 2, (0, 0, 0), 3): (1888, 2317)
(5, 0, 2, (0, 0, 0), 4): (1294, 1464)
(5, 0, 2, (0, 0, 0), 5): (863, 934)
(5, 0, 2, (0, 0, 0), 6): (543, 571)
(5, 0, 2, (0, 0, 0), 7): (305, 314)
(5, 0, 2, (0, 0, 0), 8): (171, 173)
(5, 0, 2, (0, 0, 0), 9): (98, 100)
(5, 0, 2, (0, 0, 0), 10): (64, 64)
(5, 0, 2, (0, 0, 0), 11): (29, 29)
(5, 0, 2, (0, 0, 0), 12): (17, 17)
(5, 0, 2, (0, 0, 0), 13): (18, 18)
(5, 0, 2, (0, 0, 0), 14): (6, 6)
(5, 0, 2, (0, 0, 0), 16): (2, 2)
(5, 0, 2, (0, 0, 0), 17): (1, 1)
(5, 0, 2, (0, 0, 0), 19): (1, 1)
(5, 0, 2, (0, 0, 1), -15): (0, 1)
(5, 0, 2, (0, 0, 1), -13): (0, 1)
(5, 0, 2, (0, 0, 1), -12): (0, 1)
(5, 0, 2, (0, 0, 1), -11): (1, 2)
(5, 0, 2, (0, 0, 1), -10): (0, 4)
(5, 0, 2, (0, 0, 1), -9): (0, 10)
(5, 0, 2, (0, 0, 1), -8): (0, 11)
(5, 0, 2, (0, 0, 1), -7): (0, 24)
(5, 0, 2, (0, 0, 1), -6): (3, 41)
(5, 0, 2, (0, 0, 1), -5): (1, 64)
(5, 0, 2, (0, 0, 1), -4): (10, 96)
(5, 0, 2, (0, 0, 1), -3): (19, 178)
(5, 0, 2, (0, 0, 1), -2): (76, 338)
(5, 0, 2, (0, 0, 1), -1): (169, 539)
(5, 0, 2, (0, 0, 1), 0): (319, 675)
(5, 0, 2, (0, 0, 1), 1): (370, 596)
(5, 0, 2, (0, 0, 1), 2): (364, 487)