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1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -3 ], [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -3 ], [ 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2 ], [ 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2 ], [ 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2 ], [ 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2 ], [ 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2 ], [ 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2 ], [ 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2 ], [ 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2 ], [ 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2 ], [ 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ] ]; alpha:=[ [ omega, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, omega ] ]; beta:=[ [ omega^2, 0, 0, 1, 0, 1 ], [ 1, 0, 1, omega, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, omega^2, 1, 0, 1 ], [ 1, 0, 1, 0, 0, omega ] ]; alphaXF4perm:=[ 2, 3, 1, 5, 6, 4, 7, 8, 9, 11, 12, 10, 13, 14, 15, 16, 18, 19, 17, 21, 22, 20, 24, 25, 23, 26, 28, 29, 27, 31, 32, 30, 34, 35, 33, 36, 38, 39, 37, 41, 42, 40, 44, 45, 43, 47, 48, 46, 49, 50, 51, 52, 54, 55, 53, 57, 58, 56, 60, 61, 59, 62, 64, 65, 63, 67, 68, 66, 70, 71, 69, 72, 74, 75, 73, 77, 78, 76, 80, 81, 79, 82, 84, 85, 83, 87, 88, 86, 90, 91, 89, 93, 94, 92, 95, 96, 97, 99, 100, 98, 101, 102, 103, 105, 106, 104, 107, 108, 109, 110, 112, 113, 111, 115, 116, 114, 118, 119, 117, 121, 122, 120, 123, 124, 125, 127, 128, 126, 129, 130, 131, 133, 134, 132, 135, 136, 137, 138, 140, 141, 139, 143, 144, 142, 146, 147, 145, 149, 150, 148, 151, 152, 153, 155, 156, 154, 157, 158, 159, 161, 162, 160, 163, 164, 165, 166, 167, 168, 171, 169, 170, 192, 199, 200, 201, 193, 194, 195, 196, 197, 198, 172, 179, 180, 181, 173, 174, 175, 176, 177, 178, 182, 189, 190, 191, 183, 184, 185, 186, 187, 188, 258, 265, 266, 267, 259, 260, 261, 262, 263, 264, 280, 281, 282, 285, 283, 284, 268, 269, 270, 273, 271, 272, 274, 275, 276, 279, 277, 278, 202, 209, 210, 211, 203, 204, 205, 206, 207, 208, 224, 225, 226, 229, 227, 228, 212, 213, 214, 217, 215, 216, 218, 219, 220, 223, 221, 222, 230, 237, 238, 239, 231, 232, 233, 234, 235, 236, 252, 253, 254, 257, 255, 256, 240, 241, 242, 245, 243, 244, 246, 247, 248, 251, 249, 250, 558, 565, 566, 567, 559, 560, 561, 562, 563, 564, 580, 581, 582, 585, 583, 584, 568, 569, 570, 573, 571, 572, 574, 575, 576, 579, 577, 578, 658, 659, 660, 663, 661, 662, 684, 691, 692, 693, 685, 686, 687, 688, 689, 690, 664, 671, 672, 673, 665, 666, 667, 668, 669, 670, 674, 681, 682, 683, 675, 676, 677, 678, 679, 680, 586, 587, 588, 591, 589, 590, 612, 619, 620, 621, 613, 614, 615, 616, 617, 618, 592, 599, 600, 601, 593, 594, 595, 596, 597, 598, 602, 609, 610, 611, 603, 604, 605, 606, 607, 608, 622, 623, 624, 627, 625, 626, 648, 655, 656, 657, 649, 650, 651, 652, 653, 654, 628, 635, 636, 637, 629, 630, 631, 632, 633, 634, 638, 645, 646, 647, 639, 640, 641, 642, 643, 644, 286, 293, 294, 295, 287, 288, 289, 290, 291, 292, 308, 309, 310, 313, 311, 312, 296, 297, 298, 301, 299, 300, 302, 303, 304, 307, 305, 306, 386, 387, 388, 391, 389, 390, 412, 419, 420, 421, 413, 414, 415, 416, 417, 418, 392, 399, 400, 401, 393, 394, 395, 396, 397, 398, 402, 409, 410, 411, 403, 404, 405, 406, 407, 408, 314, 315, 316, 319, 317, 318, 340, 347, 348, 349, 341, 342, 343, 344, 345, 346, 320, 327, 328, 329, 321, 322, 323, 324, 325, 326, 330, 337, 338, 339, 331, 332, 333, 334, 335, 336, 350, 351, 352, 355, 353, 354, 376, 383, 384, 385, 377, 378, 379, 380, 381, 382, 356, 363, 364, 365, 357, 358, 359, 360, 361, 362, 366, 373, 374, 375, 367, 368, 369, 370, 371, 372, 422, 429, 430, 431, 423, 424, 425, 426, 427, 428, 444, 445, 446, 449, 447, 448, 432, 433, 434, 437, 435, 436, 438, 439, 440, 443, 441, 442, 522, 523, 524, 527, 525, 526, 548, 555, 556, 557, 549, 550, 551, 552, 553, 554, 528, 535, 536, 537, 529, 530, 531, 532, 533, 534, 538, 545, 546, 547, 539, 540, 541, 542, 543, 544, 450, 451, 452, 455, 453, 454, 476, 483, 484, 485, 477, 478, 479, 480, 481, 482, 456, 463, 464, 465, 457, 458, 459, 460, 461, 462, 466, 473, 474, 475, 467, 468, 469, 470, 471, 472, 486, 487, 488, 491, 489, 490, 512, 519, 520, 521, 513, 514, 515, 516, 517, 518, 492, 499, 500, 501, 493, 494, 495, 496, 497, 498, 502, 509, 510, 511, 503, 504, 505, 506, 507, 508 ]; betaXF4perm:=[ 242, 280, 182, 204, 210, 207, 31, 28, 34, 315, 587, 451, 148, 99, 134, 49, 359, 691, 442, 305, 637, 552, 413, 579, 498, 50, 362, 685, 443, 306, 631, 555, 416, 577, 501, 51, 365, 688, 441, 307, 634, 549, 419, 578, 495, 4, 224, 214, 252, 167, 270, 221, 20, 178, 279, 13, 263, 238, 45, 250, 199, 222, 23, 181, 277, 14, 266, 232, 39, 251, 193, 223, 17, 175, 278, 15, 260, 235, 42, 249, 196, 330, 162, 434, 674, 82, 523, 623, 120, 502, 580, 64, 480, 601, 377, 288, 395, 67, 483, 595, 380, 291, 398, 70, 477, 598, 383, 294, 401, 466, 127, 570, 402, 138, 659, 351, 106, 638, 308, 59, 616, 329, 513, 424, 531, 53, 619, 323, 516, 427, 534, 56, 613, 326, 519, 430, 537, 602, 92, 298, 538, 110, 387, 487, 155, 366, 444, 78, 344, 465, 649, 560, 667, 81, 347, 459, 652, 563, 670, 75, 341, 462, 655, 566, 673, 281, 241, 26, 202, 240, 282, 187, 209, 205, 1, 191, 283, 33, 245, 183, 29, 190, 203, 208, 3, 185, 284, 27, 243, 186, 32, 184, 206, 211, 2, 188, 285, 30, 244, 189, 35, 439, 586, 316, 46, 576, 412, 133, 628, 302, 100, 692, 358, 151, 454, 496, 554, 686, 361, 152, 455, 499, 557, 689, 364, 153, 453, 493, 551, 575, 314, 452, 48, 304, 548, 98, 356, 438, 149, 420, 494, 137, 590, 632, 690, 414, 497, 135, 591, 635, 693, 417, 500, 136, 589, 629, 687, 303, 450, 588, 47, 440, 684, 150, 492, 574, 132, 556, 630, 102, 318, 360, 418, 550, 633, 103, 319, 363, 421, 553, 636, 101, 317, 357, 415, 276, 226, 5, 218, 247, 36, 269, 258, 10, 168, 176, 22, 255, 217, 200, 237, 179, 25, 256, 215, 194, 231, 173, 19, 257, 216, 197, 234, 432, 161, 376, 592, 581, 622, 683, 482, 65, 331, 507, 123, 394, 526, 83, 289, 677, 485, 68, 334, 510, 124, 397, 527, 86, 292, 680, 479, 71, 337, 504, 125, 400, 525, 89, 295, 568, 126, 512, 320, 309, 350, 411, 618, 60, 467, 643, 109, 530, 662, 147, 425, 405, 621, 54, 470, 646, 107, 533, 663, 141, 428, 408, 615, 57, 473, 640, 108, 536, 661, 144, 431, 296, 94, 648, 456, 445, 486, 547, 346, 76, 603, 371, 158, 666, 390, 115, 561, 541, 349, 79, 606, 374, 159, 669, 391, 118, 564, 544, 343, 73, 609, 368, 157, 672, 389, 112, 567, 246, 6, 212, 220, 12, 230, 166, 16, 275, 253, 40, 198, 273, 227, 261, 174, 43, 201, 271, 228, 264, 177, 37, 195, 272, 229, 267, 180, 156, 446, 664, 340, 388, 297, 367, 74, 460, 611, 111, 490, 565, 95, 543, 656, 370, 77, 463, 605, 114, 491, 559, 96, 546, 650, 373, 80, 457, 608, 117, 489, 562, 97, 540, 653, 121, 582, 392, 476, 524, 433, 503, 69, 596, 339, 91, 626, 293, 165, 679, 384, 506, 63, 599, 333, 85, 627, 287, 163, 682, 378, 509, 66, 593, 336, 88, 625, 290, 164, 676, 381, 104, 310, 528, 612, 660, 569, 639, 58, 324, 475, 143, 354, 429, 130, 407, 520, 642, 61, 327, 469, 146, 355, 423, 131, 410, 514, 645, 55, 321, 472, 140, 353, 426, 129, 404, 517, 11, 213, 225, 219, 274, 172, 254, 192, 248, 268, 233, 265, 170, 7, 24, 38, 236, 259, 171, 8, 18, 41, 239, 262, 169, 9, 21, 44, 352, 658, 422, 52, 128, 105, 139, 322, 620, 471, 403, 573, 518, 311, 647, 532, 142, 325, 614, 474, 406, 571, 521, 312, 641, 535, 145, 328, 617, 468, 409, 572, 515, 313, 644, 529, 488, 386, 558, 72, 93, 154, 119, 458, 348, 607, 539, 301, 654, 447, 375, 668, 113, 461, 342, 610, 542, 299, 657, 448, 369, 671, 116, 464, 345, 604, 545, 300, 651, 449, 372, 665, 624, 522, 286, 62, 160, 122, 87, 594, 484, 335, 675, 437, 382, 583, 511, 396, 90, 597, 478, 338, 678, 435, 385, 584, 505, 399, 84, 600, 481, 332, 681, 436, 379, 585, 508, 393 ]; gammaXF4perm:=[ 1, 3, 2, 4, 6, 5, 7, 9, 8, 10, 12, 11, 13, 15, 14, 16, 17, 19, 18, 23, 25, 24, 20, 22, 21, 36, 37, 39, 38, 43, 45, 44, 40, 42, 41, 26, 27, 29, 28, 33, 35, 34, 30, 32, 31, 46, 48, 47, 49, 51, 50, 52, 53, 55, 54, 59, 61, 60, 56, 58, 57, 72, 73, 75, 74, 79, 81, 80, 76, 78, 77, 62, 63, 65, 64, 69, 71, 70, 66, 68, 67, 82, 83, 85, 84, 89, 91, 90, 86, 88, 87, 92, 94, 93, 95, 97, 96, 104, 106, 105, 107, 109, 108, 98, 100, 99, 101, 103, 102, 138, 139, 141, 140, 145, 147, 146, 142, 144, 143, 148, 150, 149, 151, 153, 152, 160, 162, 161, 163, 165, 164, 154, 156, 155, 157, 159, 158, 110, 111, 113, 112, 117, 119, 118, 114, 116, 115, 120, 122, 121, 123, 125, 124, 132, 134, 133, 135, 137, 136, 126, 128, 127, 129, 131, 130, 166, 168, 167, 169, 171, 170, 172, 173, 175, 174, 179, 181, 180, 176, 178, 177, 192, 193, 195, 194, 199, 201, 200, 196, 198, 197, 182, 183, 185, 184, 189, 191, 190, 186, 188, 187, 202, 203, 205, 204, 209, 211, 210, 206, 208, 207, 212, 214, 213, 215, 217, 216, 224, 226, 225, 227, 229, 228, 218, 220, 219, 221, 223, 222, 258, 259, 261, 260, 265, 267, 266, 262, 264, 263, 268, 270, 269, 271, 273, 272, 280, 282, 281, 283, 285, 284, 274, 276, 275, 277, 279, 278, 230, 231, 233, 232, 237, 239, 238, 234, 236, 235, 240, 242, 241, 243, 245, 244, 252, 254, 253, 255, 257, 256, 246, 248, 247, 249, 251, 250, 286, 287, 289, 288, 293, 295, 294, 290, 292, 291, 296, 298, 297, 299, 301, 300, 308, 310, 309, 311, 313, 312, 302, 304, 303, 305, 307, 306, 314, 316, 315, 317, 319, 318, 320, 321, 323, 322, 327, 329, 328, 324, 326, 325, 340, 341, 343, 342, 347, 349, 348, 344, 346, 345, 330, 331, 333, 332, 337, 339, 338, 334, 336, 335, 386, 388, 387, 389, 391, 390, 392, 393, 395, 394, 399, 401, 400, 396, 398, 397, 412, 413, 415, 414, 419, 421, 420, 416, 418, 417, 402, 403, 405, 404, 409, 411, 410, 406, 408, 407, 350, 352, 351, 353, 355, 354, 356, 357, 359, 358, 363, 365, 364, 360, 362, 361, 376, 377, 379, 378, 383, 385, 384, 380, 382, 381, 366, 367, 369, 368, 373, 375, 374, 370, 372, 371, 558, 559, 561, 560, 565, 567, 566, 562, 564, 563, 568, 570, 569, 571, 573, 572, 580, 582, 581, 583, 585, 584, 574, 576, 575, 577, 579, 578, 586, 588, 587, 589, 591, 590, 592, 593, 595, 594, 599, 601, 600, 596, 598, 597, 612, 613, 615, 614, 619, 621, 620, 616, 618, 617, 602, 603, 605, 604, 609, 611, 610, 606, 608, 607, 658, 660, 659, 661, 663, 662, 664, 665, 667, 666, 671, 673, 672, 668, 670, 669, 684, 685, 687, 686, 691, 693, 692, 688, 690, 689, 674, 675, 677, 676, 681, 683, 682, 678, 680, 679, 622, 624, 623, 625, 627, 626, 628, 629, 631, 630, 635, 637, 636, 632, 634, 633, 648, 649, 651, 650, 655, 657, 656, 652, 654, 653, 638, 639, 641, 640, 645, 647, 646, 642, 644, 643, 422, 423, 425, 424, 429, 431, 430, 426, 428, 427, 432, 434, 433, 435, 437, 436, 444, 446, 445, 447, 449, 448, 438, 440, 439, 441, 443, 442, 450, 452, 451, 453, 455, 454, 456, 457, 459, 458, 463, 465, 464, 460, 462, 461, 476, 477, 479, 478, 483, 485, 484, 480, 482, 481, 466, 467, 469, 468, 473, 475, 474, 470, 472, 471, 522, 524, 523, 525, 527, 526, 528, 529, 531, 530, 535, 537, 536, 532, 534, 533, 548, 549, 551, 550, 555, 557, 556, 552, 554, 553, 538, 539, 541, 540, 545, 547, 546, 542, 544, 543, 486, 488, 487, 489, 491, 490, 492, 493, 495, 494, 499, 501, 500, 496, 498, 497, 512, 513, 515, 514, 519, 521, 520, 516, 518, 517, 502, 503, 505, 504, 509, 511, 510, 506, 508, 507 ]; alphaPXperm:=[ 30, 28, 29, 33, 31, 32, 36, 34, 35, 39, 37, 38, 42, 40, 41, 45, 43, 44, 48, 46, 47, 51, 49, 50, 54, 52, 53, 57, 55, 56, 60, 58, 59, 63, 61, 62, 66, 64, 65, 69, 67, 68, 72, 70, 71, 75, 73, 74, 78, 76, 77, 81, 79, 80, 3, 1, 2, 6, 4, 5, 9, 7, 8, 12, 10, 11, 15, 13, 14, 18, 16, 17, 21, 19, 20, 24, 22, 23, 27, 25, 26, 111, 109, 110, 114, 112, 113, 117, 115, 116, 120, 118, 119, 123, 121, 122, 126, 124, 125, 129, 127, 128, 132, 130, 131, 135, 133, 134, 138, 136, 137, 141, 139, 140, 144, 142, 143, 147, 145, 146, 150, 148, 149, 153, 151, 152, 156, 154, 155, 159, 157, 158, 162, 160, 161, 84, 82, 83, 87, 85, 86, 90, 88, 89, 93, 91, 92, 96, 94, 95, 99, 97, 98, 102, 100, 101, 105, 103, 104, 108, 106, 107, 168, 166, 167, 171, 169, 170, 165, 163, 164, 177, 175, 176, 180, 178, 179, 174, 172, 173, 181, 182, 183, 184, 185, 186, 187, 188, 189, 195, 193, 194, 198, 196, 197, 192, 190, 191, 204, 202, 203, 207, 205, 206, 201, 199, 200, 208, 209, 210, 211, 212, 213, 214, 215, 216, 222, 220, 221, 225, 223, 224, 219, 217, 218, 231, 229, 230, 234, 232, 233, 228, 226, 227, 235, 236, 237, 238, 239, 240, 241, 242, 243, 264, 262, 263, 267, 265, 266, 270, 268, 269, 273, 271, 272, 276, 274, 275, 279, 277, 278, 282, 280, 281, 285, 283, 284, 288, 286, 287, 291, 289, 290, 294, 292, 293, 297, 295, 296, 246, 244, 245, 249, 247, 248, 252, 250, 251, 255, 253, 254, 258, 256, 257, 261, 259, 260, 303, 301, 302, 306, 304, 305, 300, 298, 299, 307, 308, 309, 310, 311, 312, 313, 314, 315, 321, 319, 320, 324, 322, 323, 318, 316, 317, 325, 326, 327, 328, 329, 330, 331, 332, 333, 339, 337, 338, 342, 340, 341, 336, 334, 335, 343, 344, 345, 346, 347, 348, 349, 350, 351, 357, 355, 356, 360, 358, 359, 354, 352, 353, 361, 362, 363, 364, 365, 366, 367, 368, 369, 390, 388, 389, 393, 391, 392, 396, 394, 395, 399, 397, 398, 402, 400, 401, 405, 403, 404, 408, 406, 407, 411, 409, 410, 414, 412, 413, 417, 415, 416, 420, 418, 419, 423, 421, 422, 372, 370, 371, 375, 373, 374, 378, 376, 377, 381, 379, 380, 384, 382, 383, 387, 385, 386, 444, 442, 443, 447, 445, 446, 450, 448, 449, 453, 451, 452, 456, 454, 455, 459, 457, 458, 462, 460, 461, 465, 463, 464, 468, 466, 467, 471, 469, 470, 474, 472, 473, 477, 475, 476, 426, 424, 425, 429, 427, 428, 432, 430, 431, 435, 433, 434, 438, 436, 437, 441, 439, 440, 498, 496, 497, 501, 499, 500, 504, 502, 503, 507, 505, 506, 510, 508, 509, 513, 511, 512, 516, 514, 515, 519, 517, 518, 522, 520, 521, 525, 523, 524, 528, 526, 527, 531, 529, 530, 480, 478, 479, 483, 481, 482, 486, 484, 485, 489, 487, 488, 492, 490, 491, 495, 493, 494, 537, 535, 536, 540, 538, 539, 534, 532, 533, 541, 542, 543, 544, 545, 546, 547, 548, 549, 570, 568, 569, 573, 571, 572, 576, 574, 575, 579, 577, 578, 582, 580, 581, 585, 583, 584, 588, 586, 587, 591, 589, 590, 594, 592, 593, 597, 595, 596, 600, 598, 599, 603, 601, 602, 552, 550, 551, 555, 553, 554, 558, 556, 557, 561, 559, 560, 564, 562, 563, 567, 565, 566, 624, 622, 623, 627, 625, 626, 630, 628, 629, 633, 631, 632, 636, 634, 635, 639, 637, 638, 642, 640, 641, 645, 643, 644, 648, 646, 647, 651, 649, 650, 654, 652, 653, 657, 655, 656, 606, 604, 605, 609, 607, 608, 612, 610, 611, 615, 613, 614, 618, 616, 617, 621, 619, 620, 678, 676, 677, 681, 679, 680, 684, 682, 683, 687, 685, 686, 690, 688, 689, 693, 691, 692, 696, 694, 695, 699, 697, 698, 702, 700, 701, 705, 703, 704, 708, 706, 707, 711, 709, 710, 660, 658, 659, 663, 661, 662, 666, 664, 665, 669, 667, 668, 672, 670, 671, 675, 673, 674, 717, 715, 716, 720, 718, 719, 714, 712, 713, 721, 722, 723, 724, 725, 726, 727, 728, 729, 750, 748, 749, 753, 751, 752, 756, 754, 755, 759, 757, 758, 762, 760, 761, 765, 763, 764, 768, 766, 767, 771, 769, 770, 774, 772, 773, 777, 775, 776, 780, 778, 779, 783, 781, 782, 732, 730, 731, 735, 733, 734, 738, 736, 737, 741, 739, 740, 744, 742, 743, 747, 745, 746, 804, 802, 803, 807, 805, 806, 810, 808, 809, 813, 811, 812, 816, 814, 815, 819, 817, 818, 822, 820, 821, 825, 823, 824, 828, 826, 827, 831, 829, 830, 834, 832, 833, 837, 835, 836, 786, 784, 785, 789, 787, 788, 792, 790, 791, 795, 793, 794, 798, 796, 797, 801, 799, 800, 858, 856, 857, 861, 859, 860, 864, 862, 863, 867, 865, 866, 870, 868, 869, 873, 871, 872, 876, 874, 875, 879, 877, 878, 882, 880, 881, 885, 883, 884, 888, 886, 887, 891, 889, 890, 840, 838, 839, 843, 841, 842, 846, 844, 845, 849, 847, 848, 852, 850, 851, 855, 853, 854 ]; betaPXperm:=[ 723, 146, 262, 726, 149, 265, 729, 152, 268, 438, 432, 429, 495, 486, 480, 384, 381, 372, 596, 647, 704, 590, 644, 695, 599, 656, 710, 120, 361, 264, 123, 364, 267, 126, 367, 270, 880, 877, 889, 775, 766, 781, 829, 823, 832, 665, 557, 614, 662, 551, 605, 671, 566, 617, 245, 281, 263, 248, 284, 266, 251, 287, 269, 299, 305, 302, 317, 323, 320, 335, 341, 338, 20, 74, 47, 26, 80, 53, 23, 77, 50, 520, 798, 271, 529, 789, 274, 514, 795, 277, 433, 424, 439, 308, 314, 311, 888, 885, 876, 40, 611, 701, 37, 608, 698, 43, 620, 707, 466, 747, 273, 472, 732, 276, 463, 741, 279, 376, 373, 385, 344, 350, 347, 837, 828, 822, 67, 560, 650, 64, 554, 641, 70, 563, 653, 415, 855, 272, 418, 843, 275, 406, 846, 278, 487, 481, 490, 326, 332, 329, 780, 774, 771, 13, 668, 593, 10, 659, 587, 16, 674, 602, 627, 634, 166, 630, 622, 168, 639, 631, 167, 86, 87, 85, 628, 625, 637, 636, 633, 624, 632, 629, 4, 623, 626, 5, 635, 638, 6, 573, 583, 220, 579, 568, 222, 582, 574, 221, 83, 84, 82, 577, 571, 580, 585, 576, 570, 575, 578, 31, 569, 572, 32, 584, 581, 33, 678, 688, 193, 687, 679, 195, 693, 682, 194, 89, 90, 88, 685, 676, 691, 690, 684, 681, 683, 686, 58, 680, 677, 59, 689, 692, 60, 752, 803, 857, 182, 209, 236, 509, 404, 458, 229, 450, 862, 175, 504, 757, 202, 399, 811, 755, 809, 866, 185, 212, 239, 500, 392, 443, 232, 456, 871, 178, 513, 763, 205, 402, 814, 761, 818, 869, 188, 215, 242, 506, 395, 452, 226, 447, 859, 172, 498, 748, 199, 390, 805, 107, 108, 106, 467, 521, 416, 797, 854, 746, 853, 468, 532, 745, 522, 533, 796, 417, 534, 101, 102, 100, 473, 530, 419, 788, 842, 731, 841, 474, 535, 730, 531, 536, 787, 420, 537, 104, 105, 103, 464, 515, 407, 794, 845, 740, 844, 465, 538, 739, 516, 539, 793, 408, 540, 91, 92, 93, 118, 721, 246, 145, 280, 363, 282, 119, 541, 362, 722, 542, 147, 244, 543, 389, 65, 518, 673, 179, 801, 663, 718, 394, 776, 61, 773, 157, 76, 186, 142, 340, 345, 111, 307, 303, 129, 181, 48, 494, 491, 30, 589, 870, 357, 594, 469, 177, 860, 734, 39, 405, 290, 613, 883, 170, 891, 847, 649, 397, 423, 873, 621, 387, 379, 164, 865, 657, 254, 601, 511, 799, 807, 555, 519, 493, 217, 483, 591, 256, 817, 292, 565, 501, 223, 825, 835, 714, 508, 615, 9, 887, 890, 25, 243, 162, 316, 330, 141, 14, 470, 503, 227, 735, 607, 425, 56, 428, 804, 359, 703, 421, 234, 708, 848, 69, 812, 346, 342, 116, 238, 78, 131, 201, 642, 517, 18, 764, 800, 318, 112, 331, 27, 133, 214, 1, 380, 377, 352, 655, 756, 192, 435, 427, 261, 751, 705, 661, 453, 297, 777, 769, 198, 445, 733, 697, 669, 471, 759, 210, 155, 46, 315, 137, 301, 422, 455, 44, 849, 559, 203, 442, 567, 716, 821, 824, 35, 94, 95, 96, 121, 724, 249, 148, 283, 366, 285, 122, 544, 365, 725, 545, 150, 247, 546, 213, 158, 49, 309, 136, 304, 410, 446, 38, 852, 562, 206, 451, 552, 719, 827, 830, 34, 204, 651, 523, 12, 749, 785, 321, 114, 325, 21, 127, 208, 3, 383, 386, 355, 643, 762, 191, 441, 430, 255, 754, 711, 664, 459, 291, 783, 772, 197, 448, 736, 700, 675, 477, 765, 393, 293, 616, 886, 169, 879, 850, 652, 400, 411, 861, 609, 375, 382, 163, 868, 645, 257, 398, 68, 524, 658, 173, 786, 666, 712, 403, 782, 63, 779, 160, 79, 189, 144, 334, 348, 110, 310, 306, 132, 184, 51, 479, 482, 29, 595, 858, 360, 603, 475, 180, 863, 737, 42, 434, 55, 431, 810, 353, 709, 409, 228, 699, 851, 72, 815, 349, 336, 115, 241, 81, 134, 586, 496, 784, 813, 561, 525, 478, 219, 489, 597, 259, 802, 295, 550, 507, 225, 831, 820, 717, 499, 618, 8, 875, 878, 19, 237, 156, 319, 333, 140, 17, 476, 512, 230, 738, 610, 97, 98, 99, 124, 727, 252, 151, 286, 369, 288, 125, 547, 368, 728, 548, 153, 250, 549, 720, 505, 606, 7, 884, 881, 22, 240, 159, 322, 327, 139, 11, 461, 497, 233, 744, 619, 440, 57, 437, 819, 356, 694, 412, 231, 702, 839, 66, 806, 343, 339, 117, 235, 75, 128, 592, 502, 790, 816, 564, 528, 484, 218, 492, 600, 253, 808, 289, 556, 510, 224, 834, 826, 190, 426, 436, 258, 760, 696, 670, 444, 294, 768, 778, 196, 454, 742, 706, 660, 462, 750, 216, 161, 52, 312, 138, 298, 413, 449, 41, 840, 553, 200, 457, 558, 713, 836, 833, 36, 207, 654, 526, 15, 758, 791, 324, 113, 328, 24, 130, 211, 2, 371, 374, 358, 646, 753, 109, 313, 300, 135, 187, 54, 485, 488, 28, 598, 867, 354, 588, 460, 174, 872, 743, 45, 396, 296, 604, 874, 171, 882, 838, 640, 388, 414, 864, 612, 378, 370, 165, 856, 648, 260, 401, 71, 527, 667, 176, 792, 672, 715, 391, 767, 62, 770, 154, 73, 183, 143, 337, 351 ]; gammaPXperm:=[ 1, 3, 2, 7, 9, 8, 4, 6, 5, 10, 12, 11, 16, 18, 17, 13, 15, 14, 19, 21, 20, 25, 27, 26, 22, 24, 23, 55, 57, 56, 61, 63, 62, 58, 60, 59, 64, 66, 65, 70, 72, 71, 67, 69, 68, 73, 75, 74, 79, 81, 80, 76, 78, 77, 28, 30, 29, 34, 36, 35, 31, 33, 32, 37, 39, 38, 43, 45, 44, 40, 42, 41, 46, 48, 47, 52, 54, 53, 49, 51, 50, 82, 84, 83, 88, 90, 89, 85, 87, 86, 91, 93, 92, 97, 99, 98, 94, 96, 95, 100, 102, 101, 106, 108, 107, 103, 105, 104, 136, 138, 137, 142, 144, 143, 139, 141, 140, 145, 147, 146, 151, 153, 152, 148, 150, 149, 154, 156, 155, 160, 162, 161, 157, 159, 158, 109, 111, 110, 115, 117, 116, 112, 114, 113, 118, 120, 119, 124, 126, 125, 121, 123, 122, 127, 129, 128, 133, 135, 134, 130, 132, 131, 163, 165, 164, 169, 171, 170, 166, 168, 167, 172, 174, 173, 178, 180, 179, 175, 177, 176, 181, 183, 182, 187, 189, 188, 184, 186, 185, 217, 219, 218, 223, 225, 224, 220, 222, 221, 226, 228, 227, 232, 234, 233, 229, 231, 230, 235, 237, 236, 241, 243, 242, 238, 240, 239, 190, 192, 191, 196, 198, 197, 193, 195, 194, 199, 201, 200, 205, 207, 206, 202, 204, 203, 208, 210, 209, 214, 216, 215, 211, 213, 212, 244, 246, 245, 250, 252, 251, 247, 249, 248, 253, 255, 254, 259, 261, 260, 256, 258, 257, 280, 282, 281, 286, 288, 287, 283, 285, 284, 289, 291, 290, 295, 297, 296, 292, 294, 293, 262, 264, 263, 268, 270, 269, 265, 267, 266, 271, 273, 272, 277, 279, 278, 274, 276, 275, 298, 300, 299, 304, 306, 305, 301, 303, 302, 307, 309, 308, 313, 315, 314, 310, 312, 311, 334, 336, 335, 340, 342, 341, 337, 339, 338, 343, 345, 344, 349, 351, 350, 346, 348, 347, 316, 318, 317, 322, 324, 323, 319, 321, 320, 325, 327, 326, 331, 333, 332, 328, 330, 329, 352, 354, 353, 358, 360, 359, 355, 357, 356, 361, 363, 362, 367, 369, 368, 364, 366, 365, 373, 375, 374, 370, 372, 371, 382, 384, 383, 385, 387, 386, 376, 378, 377, 379, 381, 380, 409, 411, 410, 406, 408, 407, 418, 420, 419, 421, 423, 422, 412, 414, 413, 415, 417, 416, 391, 393, 392, 388, 390, 389, 400, 402, 401, 403, 405, 404, 394, 396, 395, 397, 399, 398, 478, 480, 479, 481, 483, 482, 490, 492, 491, 493, 495, 494, 487, 489, 488, 484, 486, 485, 514, 516, 515, 517, 519, 518, 526, 528, 527, 529, 531, 530, 523, 525, 524, 520, 522, 521, 496, 498, 497, 499, 501, 500, 508, 510, 509, 511, 513, 512, 505, 507, 506, 502, 504, 503, 424, 426, 425, 427, 429, 428, 439, 441, 440, 436, 438, 437, 430, 432, 431, 433, 435, 434, 460, 462, 461, 463, 465, 464, 475, 477, 476, 472, 474, 473, 466, 468, 467, 469, 471, 470, 442, 444, 443, 445, 447, 446, 457, 459, 458, 454, 456, 455, 448, 450, 449, 451, 453, 452, 712, 714, 713, 718, 720, 719, 715, 717, 716, 721, 723, 722, 727, 729, 728, 724, 726, 725, 730, 732, 731, 733, 735, 734, 745, 747, 746, 742, 744, 743, 736, 738, 737, 739, 741, 740, 766, 768, 767, 769, 771, 770, 781, 783, 782, 778, 780, 779, 772, 774, 773, 775, 777, 776, 748, 750, 749, 751, 753, 752, 763, 765, 764, 760, 762, 761, 754, 756, 755, 757, 759, 758, 841, 843, 842, 838, 840, 839, 850, 852, 851, 853, 855, 854, 844, 846, 845, 847, 849, 848, 877, 879, 878, 874, 876, 875, 886, 888, 887, 889, 891, 890, 880, 882, 881, 883, 885, 884, 859, 861, 860, 856, 858, 857, 868, 870, 869, 871, 873, 872, 862, 864, 863, 865, 867, 866, 784, 786, 785, 787, 789, 788, 796, 798, 797, 799, 801, 800, 793, 795, 794, 790, 792, 791, 820, 822, 821, 823, 825, 824, 832, 834, 833, 835, 837, 836, 829, 831, 830, 826, 828, 827, 802, 804, 803, 805, 807, 806, 814, 816, 815, 817, 819, 818, 811, 813, 812, 808, 810, 809, 532, 534, 533, 538, 540, 539, 535, 537, 536, 541, 543, 542, 547, 549, 548, 544, 546, 545, 550, 552, 551, 553, 555, 554, 562, 564, 563, 565, 567, 566, 559, 561, 560, 556, 558, 557, 586, 588, 587, 589, 591, 590, 598, 600, 599, 601, 603, 602, 595, 597, 596, 592, 594, 593, 568, 570, 569, 571, 573, 572, 580, 582, 581, 583, 585, 584, 577, 579, 578, 574, 576, 575, 658, 660, 659, 661, 663, 662, 673, 675, 674, 670, 672, 671, 664, 666, 665, 667, 669, 668, 694, 696, 695, 697, 699, 698, 709, 711, 710, 706, 708, 707, 700, 702, 701, 703, 705, 704, 676, 678, 677, 679, 681, 680, 691, 693, 692, 688, 690, 689, 682, 684, 683, 685, 687, 686, 607, 609, 608, 604, 606, 605, 616, 618, 617, 619, 621, 620, 610, 612, 611, 613, 615, 614, 643, 645, 644, 640, 642, 641, 652, 654, 653, 655, 657, 656, 646, 648, 647, 649, 651, 650, 625, 627, 626, 622, 624, 623, 634, 636, 635, 637, 639, 638, 628, 630, 629, 631, 633, 632 ]; Pi0:=[ 11, 50, 87, 116, 142, 182, 219, 248, 274, 306, 335, 372, 406, 443, 474, 511, 545, 577, 604, 641, 675 ]; Piinf:=[ 12, 51, 91, 117, 146, 192, 226, 252, 281, 313, 349, 383, 420, 447, 479, 513, 550, 584, 618, 652, 689 ]; the21Pis:=[ [ 10, 50, 86, 115, 144, 182, 218, 247, 276, 306, 334, 371, 408, 443, 473, 510, 547, 577, 603, 640, 677 ], [ 11, 49, 84, 113, 139, 182, 219, 248, 274, 305, 332, 369, 403, 442, 471, 508, 542, 579, 610, 647, 681 ], [ 11, 50, 87, 116, 142, 172, 213, 242, 268, 300, 325, 362, 396, 437, 464, 501, 535, 571, 594, 631, 665 ], [ 11, 52, 93, 122, 148, 171, 210, 239, 265, 301, 328, 365, 399, 443, 474, 511, 545, 585, 620, 657, 691 ], [ 11, 62, 99, 128, 154, 170, 207, 236, 262, 306, 335, 372, 406, 448, 481, 518, 552, 572, 597, 634, 668 ], [ 11, 72, 105, 134, 160, 169, 204, 233, 259, 311, 342, 379, 413, 435, 458, 495, 529, 577, 604, 641, 675 ], [ 13, 48, 85, 116, 147, 182, 221, 250, 279, 304, 333, 372, 411, 438, 467, 506, 545, 575, 604, 643, 682 ], [ 14, 47, 87, 118, 140, 182, 222, 251, 277, 303, 335, 374, 404, 440, 472, 511, 541, 574, 606, 645, 675 ], [ 15, 46, 89, 111, 142, 182, 223, 249, 278, 302, 337, 367, 406, 439, 474, 504, 543, 576, 611, 641, 680 ], [ 16, 50, 96, 130, 164, 168, 214, 248, 282, 292, 326, 372, 418, 431, 465, 511, 557, 561, 595, 641, 687 ], [ 17, 74, 100, 125, 142, 180, 208, 255, 274, 306, 347, 351, 395, 423, 456, 511, 553, 582, 604, 632, 663 ], [ 20, 63, 109, 116, 149, 174, 211, 256, 274, 310, 335, 363, 389, 443, 477, 487, 534, 562, 592, 641, 692 ], [ 23, 55, 87, 132, 159, 177, 205, 257, 274, 293, 320, 372, 414, 446, 474, 493, 526, 577, 616, 623, 673 ], [ 26, 50, 102, 136, 152, 167, 219, 253, 269, 291, 335, 381, 397, 430, 474, 520, 536, 560, 604, 650, 666 ], [ 27, 54, 106, 131, 142, 176, 229, 248, 260, 295, 335, 377, 392, 445, 459, 490, 545, 577, 586, 636, 690 ], [ 30, 73, 97, 116, 155, 179, 227, 248, 263, 306, 314, 358, 421, 425, 474, 516, 528, 581, 598, 627, 675 ], [ 33, 65, 87, 120, 165, 173, 228, 248, 266, 309, 329, 353, 406, 443, 450, 497, 551, 564, 604, 655, 664 ], [ 36, 50, 108, 124, 158, 166, 224, 240, 274, 290, 344, 360, 406, 429, 483, 499, 545, 559, 613, 629, 675 ], [ 37, 64, 94, 137, 142, 175, 219, 237, 284, 308, 317, 372, 400, 443, 460, 514, 524, 563, 621, 628, 675 ], [ 40, 53, 103, 116, 161, 178, 219, 231, 285, 294, 343, 356, 406, 444, 454, 511, 530, 577, 599, 653, 660 ], [ 43, 75, 87, 126, 153, 181, 219, 234, 283, 306, 321, 384, 388, 424, 482, 492, 545, 580, 591, 641, 669 ] ]; wt5wordsHX:=[ [ 1, 2, 7, 8, 9 ], [ 1, 3, 10, 14, 18 ], [ 1, 4, 12, 17, 19 ], [ 1, 5, 11, 16, 21 ], [ 1, 6, 13, 15, 20 ], [ 2, 3, 4, 5, 6 ], [ 2, 10, 15, 16, 17 ], [ 2, 11, 12, 13, 18 ], [ 2, 14, 19, 20, 21 ], [ 3, 7, 12, 16, 20 ], [ 3, 8, 13, 17, 21 ], [ 3, 9, 11, 15, 19 ], [ 4, 7, 15, 18, 21 ], [ 4, 8, 10, 11, 20 ], [ 4, 9, 13, 14, 16 ], [ 5, 7, 10, 13, 19 ], [ 5, 8, 12, 14, 15 ], [ 5, 9, 17, 18, 20 ], [ 6, 7, 11, 14, 17 ], [ 6, 8, 16, 18, 19 ], [ 6, 9, 10, 12, 21 ] ]; T0:=[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0 ]; Tinf:=[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -3 ]; the21Ts:=[ [ -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4 ] ]; wt5wordsC21:=[ [ 1, 2, 3, 4, 21 ], [ 1, 5, 9, 13, 17 ], [ 1, 6, 12, 15, 18 ], [ 1, 7, 10, 16, 19 ], [ 1, 8, 11, 14, 20 ], [ 2, 5, 11, 16, 18 ], [ 2, 6, 10, 14, 17 ], [ 2, 7, 12, 13, 20 ], [ 2, 8, 9, 15, 19 ], [ 3, 5, 12, 14, 19 ], [ 3, 6, 9, 16, 20 ], [ 3, 7, 11, 15, 17 ], [ 3, 8, 10, 13, 18 ], [ 4, 5, 10, 15, 20 ], [ 4, 6, 11, 13, 19 ], [ 4, 7, 9, 14, 18 ], [ 4, 8, 12, 16, 17 ], [ 5, 6, 7, 8, 21 ], [ 9, 10, 11, 12, 21 ], [ 13, 14, 15, 16, 21 ], [ 17, 18, 19, 20, 21 ] ]; varphi0:=[ 21, 1, 5, 9, 17, 13, 4, 2, 3, 8, 19, 10, 16, 6, 14, 20, 11, 7, 12, 15, 18 ]; phi0:=[ 761, 315, 261, 324, 256, 756, 251, 766, 321, 243, 314, 775, 305, 780, 248, 785, 238, 308, 330, 594, 299, 767, 4, 774, 237, 852, 262, 382, 228, 696, 223, 694, 391, 701, 385, 221, 719, 207, 376, 212, 379, 712, 370, 717, 214, 205, 853, 230, 396, 528, 365, 703, 38, 710, 163, 794, 350, 789, 356, 161, 353, 156, 796, 339, 811, 151, 816, 144, 342, 146, 345, 809, 799, 3, 806, 141, 887, 166, 363, 561, 332, 131, 738, 500, 568, 100, 672, 641, 534, 197, 862, 290, 57, 486, 400, 488, 10, 622, 831, 216, 304, 812, 372, 781, 150, 715, 247, 338, 510, 128, 732, 669, 575, 97, 191, 638, 541, 53, 870, 286, 489, 484, 402, 827, 18, 618, 807, 211, 313, 148, 378, 776, 347, 713, 242, 729, 505, 137, 103, 666, 570, 539, 200, 632, 294, 49, 866, 399, 491, 485, 626, 823, 14, 310, 817, 206, 783, 143, 375, 240, 341, 720, 441, 284, 608, 459, 856, 36, 434, 72, 820, 104, 728, 538, 567, 132, 640, 668, 509, 192, 788, 325, 224, 164, 760, 383, 354, 252, 700, 609, 417, 285, 35, 483, 855, 821, 410, 73, 533, 101, 737, 637, 574, 129, 201, 665, 504, 229, 793, 316, 386, 157, 765, 693, 357, 257, 283, 610, 429, 857, 34, 471, 71, 822, 422, 734, 543, 95, 135, 634, 572, 502, 195, 674, 319, 219, 798, 758, 389, 159, 259, 698, 348, 281, 851, 282, 487, 445, 405, 607, 41, 614, 611, 279, 475, 280, 451, 612, 463, 613, 278, 883, 1, 858, 397, 446, 495, 37, 891, 6, 9, 885, 409, 884, 433, 8, 421, 7, 886, 45, 890, 70, 494, 447, 398, 819, 2, 850, 847, 43, 482, 44, 458, 848, 470, 849, 42, 723, 5, 754, 121, 888, 122, 524, 364, 499, 518, 739, 115, 748, 112, 513, 106, 523, 745, 89, 889, 90, 590, 298, 565, 659, 39, 690, 683, 79, 580, 76, 587, 680, 585, 677, 82, 557, 331, 532, 627, 40, 658, 185, 854, 186, 171, 555, 647, 550, 644, 180, 653, 174, 548, 546, 749, 78, 651, 111, 581, 176, 514, 684, 66, 273, 871, 401, 492, 408, 846, 599, 25, 15, 818, 631, 688, 204, 453, 74, 392, 841, 877, 154, 181, 443, 334, 558, 577, 711, 51, 832, 303, 196, 92, 800, 435, 589, 160, 596, 60, 764, 549, 440, 264, 628, 664, 343, 296, 617, 210, 542, 563, 329, 450, 682, 755, 32, 275, 387, 643, 454, 708, 184, 98, 249, 860, 172, 326, 840, 878, 218, 117, 418, 368, 526, 544, 777, 50, 16, 722, 727, 655, 235, 479, 554, 225, 597, 61, 797, 516, 415, 169, 725, 633, 374, 297, 833, 336, 133, 189, 705, 412, 650, 787, 31, 274, 320, 741, 481, 771, 119, 194, 153, 859, 616, 244, 508, 529, 361, 472, 432, 300, 593, 511, 808, 52, 17, 786, 663, 753, 138, 464, 107, 359, 839, 876, 250, 85, 425, 231, 662, 730, 309, 295, 834, 369, 99, 123, 770, 426, 522, 255, 598, 59, 702, 582, 468, 805, 86, 130, 217, 861, 615, 147, 576, 498, 393, 461, 746, 691, 30, 276, 352, 676, 743, 75, 556, 108, 588, 648, 521, 681, 170, 269, 879, 62, 493, 406, 403, 595, 33, 842, 430, 333, 560, 569, 716, 56, 21, 810, 635, 689, 202, 467, 83, 388, 835, 872, 162, 177, 427, 263, 630, 670, 346, 287, 826, 307, 199, 91, 802, 424, 584, 155, 606, 67, 762, 545, 469, 709, 182, 102, 241, 865, 619, 215, 535, 564, 327, 460, 678, 763, 26, 272, 381, 652, 19, 714, 731, 656, 236, 452, 178, 322, 837, 873, 226, 113, 444, 367, 525, 536, 779, 55, 824, 340, 136, 188, 704, 438, 552, 220, 604, 68, 792, 512, 437, 168, 724, 636, 380, 288, 621, 246, 501, 530, 362, 449, 646, 795, 28, 271, 317, 747, 456, 772, 120, 198, 145, 864, 116, 355, 836, 874, 258, 81, 419, 302, 592, 503, 813, 54, 20, 778, 667, 751, 139, 477, 517, 253, 605, 69, 697, 578, 416, 233, 661, 733, 312, 289, 825, 373, 105, 125, 769, 411, 742, 699, 27, 270, 349, 685, 478, 803, 87, 134, 209, 863, 620, 152, 566, 496, 394, 474, 84, 551, 740, 583, 645, 114, 675, 179, 519, 875, 58, 277, 407, 404, 490, 29, 838, 603, 80, 384, 844, 882, 158, 173, 420, 335, 559, 573, 721, 46, 12, 814, 639, 687, 203, 476, 579, 165, 601, 65, 757, 553, 413, 265, 629, 673, 337, 293, 829, 311, 193, 93, 801, 414, 686, 759, 23, 266, 390, 649, 480, 707, 183, 94, 245, 867, 624, 208, 537, 562, 328, 473, 431, 366, 527, 540, 784, 48, 13, 718, 735, 657, 234, 465, 175, 318, 843, 880, 222, 109, 428, 167, 726, 642, 371, 291, 830, 344, 127, 187, 706, 423, 547, 227, 602, 63, 790, 520, 466, 773, 118, 190, 149, 869, 623, 239, 506, 531, 360, 462, 654, 791, 22, 268, 323, 744, 11, 782, 671, 752, 140, 455, 110, 351, 845, 881, 254, 77, 442, 301, 591, 507, 815, 47, 828, 377, 96, 124, 768, 436, 515, 260, 600, 64, 692, 586, 439, 232, 660, 736, 306, 292, 625, 142, 571, 497, 395, 448, 750, 695, 24, 267, 358, 679, 457, 804, 88, 126, 213, 868 ]; alphaTABperm:=[ 45, 607, 330, 396, 121, 2, 470, 458, 482, 618, 96, 193, 127, 622, 196, 133, 99, 626, 136, 105, 199, 318, 384, 351, 25, 388, 355, 322, 29, 359, 326, 392, 33, 71, 73, 72, 850, 363, 89, 185, 37, 613, 611, 612, 282, 337, 306, 371, 862, 374, 343, 309, 866, 312, 380, 346, 870, 58, 676, 643, 741, 62, 744, 679, 649, 66, 652, 747, 685, 851, 429, 441, 417, 596, 108, 76, 692, 111, 79, 601, 697, 82, 606, 114, 702, 300, 302, 301, 565, 298, 460, 450, 473, 46, 634, 142, 666, 51, 147, 669, 637, 56, 672, 640, 152, 106, 598, 170, 790, 600, 176, 112, 792, 179, 115, 605, 797, 366, 368, 367, 499, 364, 461, 448, 474, 47, 239, 729, 665, 52, 732, 668, 244, 54, 674, 246, 738, 123, 125, 124, 774, 11, 372, 305, 536, 308, 17, 375, 540, 378, 314, 20, 544, 60, 678, 251, 157, 65, 159, 682, 256, 67, 261, 164, 686, 4, 466, 456, 481, 75, 171, 597, 757, 174, 602, 78, 762, 604, 84, 180, 764, 333, 335, 334, 532, 331, 462, 449, 472, 48, 632, 728, 208, 50, 734, 210, 638, 55, 215, 641, 737, 91, 93, 92, 806, 304, 339, 12, 503, 15, 310, 342, 507, 345, 21, 313, 511, 61, 219, 646, 156, 63, 161, 224, 650, 68, 654, 163, 229, 3, 468, 457, 478, 187, 189, 188, 710, 370, 13, 338, 569, 341, 376, 16, 573, 19, 347, 379, 577, 59, 221, 252, 742, 64, 746, 223, 257, 69, 259, 750, 228, 38, 469, 454, 480, 173, 77, 109, 269, 81, 113, 177, 273, 117, 181, 85, 277, 7, 9, 8, 858, 1, 471, 459, 483, 49, 241, 145, 209, 53, 149, 213, 245, 57, 217, 249, 153, 659, 853, 425, 439, 416, 617, 807, 712, 126, 619, 717, 130, 812, 624, 134, 817, 719, 382, 316, 873, 547, 319, 878, 385, 552, 880, 391, 325, 554, 689, 687, 688, 230, 627, 852, 427, 440, 413, 616, 94, 713, 775, 621, 715, 780, 98, 623, 785, 102, 720, 348, 874, 315, 515, 876, 321, 354, 517, 324, 357, 881, 522, 657, 655, 656, 262, 723, 887, 428, 437, 415, 615, 809, 190, 776, 620, 194, 781, 811, 625, 783, 816, 198, 872, 350, 383, 579, 353, 386, 877, 584, 389, 882, 356, 589, 753, 751, 752, 166, 398, 445, 488, 489, 401, 491, 403, 404, 446, 406, 407, 408, 43, 609, 394, 361, 183, 328, 119, 87, 35, 725, 661, 629, 42, 610, 360, 327, 86, 393, 182, 118, 34, 630, 726, 662, 44, 608, 329, 395, 120, 362, 88, 184, 36, 660, 628, 724, 397, 494, 487, 140, 236, 204, 884, 704, 800, 558, 768, 525, 591, 280, 820, 202, 138, 234, 886, 770, 706, 527, 802, 593, 560, 278, 822, 235, 203, 139, 885, 801, 769, 592, 705, 559, 526, 279, 821, 399, 400, 402, 495, 484, 485, 490, 486, 492, 493, 405, 447, 477, 455, 464, 5, 128, 714, 95, 289, 101, 131, 718, 292, 722, 104, 137, 295, 317, 513, 546, 24, 320, 27, 518, 551, 323, 556, 30, 523, 754, 168, 169, 167, 141, 479, 452, 465, 40, 129, 191, 810, 288, 814, 132, 197, 291, 200, 818, 135, 297, 381, 581, 22, 548, 387, 550, 583, 28, 390, 31, 555, 588, 658, 264, 265, 263, 237, 476, 453, 467, 39, 778, 192, 97, 287, 100, 782, 195, 293, 201, 103, 786, 296, 349, 23, 580, 514, 352, 519, 26, 585, 358, 587, 521, 32, 690, 232, 233, 231, 205, 595, 755, 787, 691, 599, 695, 759, 791, 603, 795, 699, 763, 6, 856, 855, 857, 409, 433, 421, 891, 663, 727, 631, 823, 635, 667, 731, 827, 735, 639, 671, 831, 186, 708, 707, 709, 303, 534, 859, 502, 307, 864, 504, 539, 311, 509, 541, 869, 154, 644, 675, 837, 647, 681, 158, 840, 684, 162, 653, 843, 412, 438, 423, 854, 90, 804, 803, 805, 369, 860, 533, 568, 373, 538, 570, 865, 377, 575, 867, 543, 740, 250, 677, 835, 254, 680, 743, 841, 683, 749, 258, 844, 414, 435, 424, 889, 107, 267, 693, 789, 110, 794, 270, 698, 116, 700, 796, 276, 332, 530, 529, 531, 420, 443, 430, 561, 664, 144, 240, 824, 242, 670, 146, 830, 151, 247, 673, 833, 122, 772, 771, 773, 336, 567, 500, 861, 340, 505, 863, 572, 344, 868, 574, 510, 739, 645, 218, 836, 648, 222, 745, 839, 226, 748, 651, 845, 411, 436, 426, 888, 74, 694, 266, 758, 80, 760, 696, 272, 83, 275, 765, 701, 365, 497, 496, 498, 418, 444, 431, 528, 207, 143, 633, 825, 636, 212, 148, 828, 150, 642, 214, 834, 172, 788, 756, 268, 175, 271, 793, 761, 178, 766, 274, 798, 299, 563, 562, 564, 419, 442, 432, 594, 206, 730, 238, 826, 243, 211, 733, 829, 736, 248, 216, 832, 614, 284, 285, 283, 10, 501, 566, 535, 14, 571, 537, 506, 18, 542, 508, 576, 155, 253, 220, 838, 255, 225, 160, 842, 227, 165, 260, 846, 475, 451, 463, 41, 883, 703, 799, 557, 410, 434, 422, 890, 777, 711, 808, 286, 813, 779, 716, 290, 721, 815, 784, 294, 871, 545, 512, 578, 875, 582, 549, 516, 879, 520, 586, 553, 70, 848, 847, 849, 767, 524, 590, 281, 819 ]; betaTABperm:=[ 344, 160, 3, 362, 338, 225, 628, 93, 502, 88, 510, 314, 20, 649, 303, 44, 90, 506, 435, 653, 329, 204, 13, 92, 62, 478, 525, 228, 14, 645, 218, 60, 487, 69, 424, 36, 309, 162, 140, 805, 343, 642, 516, 104, 311, 103, 214, 27, 511, 63, 647, 222, 74, 227, 451, 524, 655, 18, 54, 102, 321, 493, 323, 32, 520, 70, 651, 328, 423, 232, 411, 68, 34, 81, 400, 80, 78, 57, 508, 519, 496, 648, 633, 10, 629, 205, 206, 224, 304, 216, 299, 313, 319, 26, 641, 19, 8, 64, 42, 48, 500, 475, 454, 100, 426, 175, 761, 489, 601, 786, 875, 576, 452, 614, 743, 777, 861, 746, 566, 192, 771, 387, 867, 625, 422, 200, 379, 476, 584, 745, 615, 188, 369, 590, 733, 393, 885, 347, 332, 354, 852, 345, 355, 39, 335, 331, 336, 339, 337, 349, 888, 361, 342, 353, 334, 2, 346, 358, 356, 359, 446, 360, 851, 340, 350, 38, 341, 363, 348, 408, 110, 272, 695, 542, 833, 294, 701, 442, 819, 681, 707, 418, 839, 284, 234, 721, 671, 116, 543, 248, 274, 136, 541, 254, 661, 122, 421, 260, 683, 845, 545, 83, 639, 509, 302, 215, 497, 21, 82, 43, 202, 94, 627, 654, 412, 212, 505, 56, 312, 84, 6, 31, 402, 324, 522, 436, 635, 66, 307, 226, 50, 15, 429, 624, 869, 434, 763, 181, 575, 785, 413, 772, 727, 186, 611, 748, 779, 593, 864, 198, 603, 380, 425, 586, 882, 491, 391, 749, 373, 621, 883, 394, 747, 194, 572, 602, 759, 176, 398, 766, 564, 477, 870, 726, 860, 773, 595, 187, 725, 567, 757, 377, 605, 437, 857, 577, 366, 180, 428, 172, 723, 613, 371, 753, 863, 376, 570, 352, 209, 501, 650, 95, 518, 322, 85, 28, 97, 631, 65, 305, 658, 463, 317, 526, 49, 223, 96, 12, 233, 514, 37, 456, 646, 490, 220, 59, 480, 22, 72, 327, 150, 528, 143, 141, 159, 153, 151, 152, 5, 144, 139, 298, 158, 169, 854, 165, 146, 161, 142, 1, 138, 149, 41, 168, 163, 447, 155, 156, 154, 148, 166, 164, 4, 815, 714, 840, 443, 283, 297, 531, 137, 719, 430, 680, 709, 126, 849, 716, 686, 557, 472, 286, 256, 123, 846, 263, 292, 560, 253, 835, 495, 675, 689, 559, 132, 258, 760, 698, 79, 523, 273, 644, 406, 838, 219, 404, 599, 879, 736, 826, 466, 656, 682, 211, 237, 432, 67, 876, 563, 767, 201, 483, 101, 229, 285, 73, 129, 257, 35, 765, 609, 737, 582, 288, 230, 24, 240, 527, 841, 535, 438, 182, 783, 453, 793, 157, 357, 735, 365, 868, 99, 448, 109, 51, 710, 652, 310, 662, 604, 410, 574, 386, 637, 693, 821, 504, 665, 316, 417, 533, 855, 378, 623, 178, 515, 536, 713, 330, 268, 17, 98, 124, 427, 174, 587, 739, 325, 112, 555, 33, 677, 58, 492, 252, 389, 634, 503, 77, 203, 9, 499, 105, 301, 630, 47, 76, 306, 638, 512, 481, 308, 208, 75, 45, 11, 213, 469, 507, 25, 221, 399, 61, 643, 318, 441, 52, 16, 333, 758, 776, 774, 372, 738, 465, 482, 439, 598, 568, 617, 612, 886, 873, 197, 865, 193, 862, 189, 170, 581, 573, 622, 592, 742, 740, 741, 488, 781, 383, 375, 396, 887, 822, 267, 473, 708, 702, 552, 276, 115, 433, 691, 125, 659, 670, 844, 717, 539, 461, 235, 108, 282, 293, 827, 261, 540, 837, 676, 407, 250, 244, 538, 685, 130, 795, 485, 696, 113, 270, 281, 832, 722, 551, 842, 664, 431, 711, 255, 459, 287, 825, 135, 673, 549, 705, 249, 550, 296, 118, 419, 238, 128, 679, 690, 847, 264, 537, 320, 640, 87, 498, 217, 7, 89, 517, 207, 632, 91, 46, 231, 636, 468, 513, 55, 86, 29, 300, 521, 405, 30, 326, 53, 414, 657, 315, 71, 457, 23, 210, 784, 608, 464, 878, 585, 768, 199, 455, 191, 724, 616, 775, 754, 884, 782, 578, 626, 385, 184, 415, 390, 588, 494, 881, 752, 871, 395, 619, 195, 751, 591, 384, 177, 600, 762, 401, 583, 858, 467, 769, 730, 756, 618, 859, 778, 728, 173, 569, 610, 877, 479, 367, 185, 562, 388, 458, 370, 729, 190, 597, 750, 381, 580, 872, 247, 700, 720, 703, 295, 672, 275, 278, 444, 409, 460, 534, 848, 828, 131, 843, 119, 831, 134, 114, 486, 553, 556, 554, 684, 687, 290, 667, 259, 242, 262, 715, 271, 397, 111, 697, 834, 704, 277, 530, 420, 660, 694, 823, 241, 820, 462, 266, 674, 529, 120, 699, 117, 246, 280, 532, 449, 663, 236, 106, 243, 829, 558, 669, 794, 792, 445, 791, 818, 796, 802, 890, 808, 891, 804, 789, 594, 788, 806, 807, 798, 799, 817, 853, 816, 801, 40, 797, 364, 803, 809, 787, 814, 889, 813, 811, 770, 856, 606, 416, 183, 764, 470, 565, 744, 596, 171, 755, 571, 732, 780, 874, 179, 368, 440, 607, 392, 880, 589, 403, 620, 731, 382, 866, 734, 579, 196, 374, 167, 145, 810, 351, 471, 824, 289, 692, 706, 279, 121, 544, 666, 712, 474, 107, 830, 548, 718, 688, 269, 239, 450, 127, 850, 546, 245, 291, 484, 836, 678, 251, 265, 668, 133, 547, 561, 147, 812, 790, 800 ]; gammaTABperm:=[ 70, 495, 230, 262, 754, 447, 848, 849, 847, 486, 656, 689, 751, 484, 688, 753, 655, 485, 752, 657, 687, 233, 263, 168, 492, 265, 167, 232, 493, 169, 231, 264, 490, 73, 71, 72, 494, 166, 658, 690, 405, 433, 409, 421, 883, 162, 226, 258, 286, 250, 154, 218, 294, 222, 254, 158, 290, 62, 194, 98, 130, 58, 134, 198, 102, 66, 94, 126, 190, 1, 35, 36, 34, 443, 740, 653, 779, 749, 647, 430, 784, 644, 420, 743, 777, 225, 227, 220, 557, 331, 624, 617, 619, 67, 101, 362, 200, 60, 361, 197, 95, 65, 191, 104, 360, 748, 418, 675, 813, 444, 684, 745, 815, 681, 739, 431, 808, 253, 255, 260, 524, 364, 616, 621, 623, 68, 394, 137, 195, 61, 131, 192, 393, 63, 201, 395, 128, 727, 735, 731, 703, 438, 242, 214, 586, 212, 412, 240, 578, 247, 207, 423, 582, 51, 183, 391, 348, 56, 357, 184, 385, 46, 382, 354, 182, 38, 27, 24, 30, 645, 683, 432, 716, 680, 419, 651, 721, 442, 648, 677, 711, 165, 155, 160, 590, 298, 620, 625, 615, 69, 103, 132, 327, 59, 129, 329, 100, 64, 328, 97, 135, 639, 635, 631, 799, 211, 151, 424, 520, 435, 206, 146, 512, 144, 414, 216, 516, 52, 316, 88, 356, 54, 353, 325, 86, 47, 87, 350, 319, 3, 31, 28, 22, 667, 663, 671, 767, 248, 411, 148, 553, 143, 243, 426, 545, 436, 150, 238, 549, 50, 324, 383, 118, 55, 119, 321, 389, 48, 386, 120, 315, 4, 23, 32, 26, 670, 636, 733, 875, 642, 736, 673, 871, 730, 664, 633, 879, 451, 475, 463, 281, 851, 609, 608, 610, 49, 390, 358, 323, 57, 349, 317, 381, 53, 320, 387, 352, 186, 594, 840, 837, 843, 450, 812, 785, 747, 473, 780, 741, 807, 460, 744, 817, 775, 261, 219, 292, 592, 229, 295, 256, 591, 289, 251, 224, 593, 193, 199, 196, 330, 90, 528, 844, 841, 835, 461, 652, 781, 719, 448, 776, 717, 643, 474, 712, 649, 783, 157, 291, 228, 525, 297, 223, 164, 527, 221, 159, 288, 526, 105, 99, 96, 396, 122, 561, 836, 845, 839, 472, 816, 685, 715, 462, 676, 713, 811, 449, 720, 809, 679, 293, 163, 252, 560, 161, 259, 296, 559, 257, 287, 156, 558, 133, 127, 136, 363, 819, 891, 827, 831, 846, 823, 838, 842, 41, 603, 595, 599, 43, 471, 239, 147, 678, 215, 746, 654, 429, 107, 175, 83, 44, 483, 152, 208, 650, 244, 686, 742, 417, 80, 116, 172, 42, 459, 210, 246, 750, 142, 646, 682, 441, 178, 74, 110, 614, 850, 6, 340, 377, 303, 278, 782, 818, 589, 714, 515, 552, 886, 434, 311, 336, 373, 280, 722, 778, 517, 814, 554, 579, 884, 410, 369, 307, 344, 279, 810, 718, 547, 786, 584, 522, 885, 422, 14, 18, 10, 607, 622, 626, 33, 618, 25, 29, 37, 2, 830, 824, 833, 888, 738, 768, 637, 880, 634, 732, 769, 873, 770, 640, 729, 878, 213, 523, 581, 456, 217, 466, 518, 588, 209, 583, 481, 513, 121, 351, 359, 355, 332, 834, 828, 825, 889, 734, 672, 801, 881, 802, 728, 669, 874, 666, 800, 737, 876, 245, 546, 478, 587, 249, 585, 556, 457, 241, 468, 580, 551, 89, 392, 388, 384, 365, 826, 832, 829, 854, 706, 668, 641, 882, 638, 704, 665, 872, 674, 632, 705, 877, 149, 469, 555, 514, 153, 521, 480, 550, 145, 548, 519, 454, 185, 322, 318, 326, 299, 407, 708, 805, 771, 408, 772, 709, 803, 406, 804, 773, 707, 487, 284, 283, 285, 611, 613, 612, 445, 189, 123, 92, 491, 93, 187, 124, 488, 125, 91, 188, 489, 659, 755, 763, 759, 204, 575, 276, 504, 203, 267, 502, 570, 202, 509, 568, 270, 343, 82, 170, 439, 79, 179, 346, 425, 176, 337, 76, 416, 17, 11, 20, 39, 627, 795, 791, 787, 235, 275, 572, 541, 234, 567, 539, 266, 236, 534, 272, 574, 108, 374, 180, 413, 380, 174, 114, 440, 171, 111, 371, 427, 21, 15, 12, 40, 725, 864, 758, 796, 724, 794, 869, 765, 726, 760, 789, 859, 141, 571, 576, 566, 606, 596, 601, 887, 181, 345, 375, 455, 372, 173, 342, 477, 339, 378, 177, 464, 723, 695, 691, 699, 138, 538, 510, 274, 140, 505, 268, 533, 139, 271, 543, 500, 115, 75, 309, 428, 84, 312, 112, 415, 306, 106, 78, 437, 13, 19, 16, 5, 628, 766, 865, 693, 630, 700, 761, 867, 629, 860, 698, 756, 237, 501, 506, 508, 598, 600, 605, 852, 314, 341, 85, 465, 77, 308, 338, 452, 347, 81, 305, 479, 662, 788, 701, 863, 661, 868, 798, 696, 660, 694, 861, 793, 205, 542, 535, 537, 602, 604, 597, 853, 310, 117, 379, 476, 376, 304, 109, 467, 113, 370, 313, 453, 397, 856, 857, 855, 402, 497, 531, 562, 399, 530, 564, 496, 400, 563, 498, 529, 335, 366, 301, 403, 368, 300, 334, 404, 302, 333, 367, 401, 9, 7, 8, 446, 282, 774, 806, 565, 822, 820, 821, 890, 702, 764, 797, 862, 790, 692, 757, 870, 762, 792, 697, 866, 273, 573, 507, 540, 269, 544, 577, 511, 277, 503, 536, 569, 45, 470, 482, 458, 710, 499, 532, 858, 398 ]; alphatilde:=[ [ 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4, 1/4, 1/4, 1/4, -1/4, -1/4, 1/4, -1/4, 1/4, -1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, -1/4, 1/4, -1/4, 1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 0, 0, 0, 0 ], [ -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, 1/4, -1/4, -1/4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, -1/4, -1/4, -1/4 ], [ 0, 0, 0, 0, -1/4, 3/4, -1/4, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4 ], [ 0, 0, 0, 0, -1/4, -1/4, 3/4, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4 ], [ 0, 0, 0, 0, -1/4, -1/4, -1/4, 3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4 ], [ 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, -1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0 ], [ -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, -1/4, 1/4, 1/4, -1/4, -1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, 1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0 ], [ 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0, -1/4, -1/4, 1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4, 0, 0, 0, 0 ], [ -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0, -1/4, 1/4, 1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 1/4, -1/4, 1/4, -1/4, 0, 0, 0, 0 ], [ 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, -1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 0, 0, 0, 0 ], [ -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0, 1/4, 1/4, -1/4, -1/4, -1/4, 1/4, -1/4, 1/4, -1/4, 1/4, 1/4, -1/4, 0, 0, 0, 0 ], [ -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0, 1/4, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, -1/4, -1/4, 1/4, 1/4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3/4, -1/4, -1/4, -1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4 ], [ 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, -1/4, -1/4, 3/4 ], [ 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 3/4, -1/4, -1/4 ], [ 0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, -1/4, 3/4, -1/4 ] ]; betatilde:=[ [ 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, 1/8, 3/8, -1/8, 3/8, -1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8 ], [ 1/8, 1/8, 3/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 1/8, 3/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8 ], [ 3/8, 3/8, -3/8, -3/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8 ], [ -1/8, -1/8, -3/8, 1/8, -3/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 1/8, 3/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ -1/8, -1/8, 1/8, -3/8, 1/8, 3/8, -1/8, 1/8, 1/8, 1/8, -3/8, 1/8, -3/8, -1/8, 1/8, -1/8, -1/8, 1/8, 3/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/8, 1/8, -1/8, -1/8, 3/8, -3/8, -3/8, 3/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, -1/8, 1/8, 1/8, -1/8, 1/8, -1/8, 3/8, -1/8, -1/8, -1/8 ], [ -1/8, 3/8, 1/8, 1/8, 1/8, 3/8, -1/8, 1/8, 1/8, -3/8, 1/8, 1/8, 1/8, 3/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ -3/8, 1/8, -1/8, -1/8, -1/8, -3/8, 1/8, -1/8, -1/8, -1/8, -1/8, 3/8, -1/8, 1/8, 3/8, 1/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -3/8, 3/8, -3/8, 3/8, -1/8, 1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8 ], [ -3/8, 1/8, -1/8, -1/8, -1/8, 1/8, -3/8, -1/8, -1/8, 3/8, -1/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, -1/8, -3/8, -1/8, -1/8, -1/8, -1/8, -1/8 ], [ 1/8, -3/8, -1/8, -1/8, 3/8, 1/8, 1/8, -1/8, -1/8, -1/8, 3/8, -1/8, -1/8, 1/8, -1/8, -3/8, 1/8, 3/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8 ], [ -1/8, -1/8, 1/8, -3/8, 1/8, -1/8, -1/8, -3/8, 1/8, 1/8, 1/8, -3/8, 1/8, -1/8, 1/8, 3/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ 3/8, -1/8, 1/8, 1/8, -3/8, -1/8, -1/8, 1/8, -3/8, 1/8, 1/8, 1/8, -3/8, -1/8, 1/8, -1/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ -1/8, -1/8, 1/8, -3/8, 1/8, 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