Strongly regular graphs on 900 - 999 vertices

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Parameters for strongly regular graphs on 900-999 vertices

The fields in the following table are all straightforward. The parameters are given in the standard (n,k,a,c) fashion. The eigenvalues of the adjacency matrix are called theta and tau with respective multiplicities m_theta and m_tau .

The Number field (will eventually) give some indication of the number of graphs known, the Type field indicates if the graph is a conference graph or a Smith graph (one of the Krein conditions is tight). Any further comments will be linked into the final column.

Parameters theta m_theta tau m_tau Number Type Comments
(900, 58, 28, 2) 28 58 -2 841 ?   none yet
(900, 87, 30, 6) 27 87 -3 812 ?   none yet
(900, 116, 34, 12) 26 116 -4 783 ?   none yet
(900, 145, 40, 20) 25 145 -5 754 ?   none yet
(900, 155, 10, 30) 5 744 -25 155 ?   none yet
(900, 174, 48, 30) 24 174 -6 725 ?   none yet
(900, 186, 24, 42) 6 713 -24 186 ?   none yet
(900, 203, 34, 49) 7 675 -22 224 ?   none yet
(900, 203, 58, 42) 23 203 -7 696 ?   none yet
(900, 217, 40, 56) 7 682 -23 217 ?   none yet
(900, 232, 70, 56) 22 232 -8 667 ?   none yet
(900, 248, 58, 72) 8 651 -22 248 ?   none yet
(900, 248, 79, 64) 23 224 -8 675 ?   none yet
(900, 261, 84, 72) 21 261 -9 638 ?   none yet
(900, 279, 78, 90) 9 620 -21 279 ?   none yet
(900, 290, 100, 90) 20 290 -10 609 ?   none yet
(900, 310, 100, 110) 10 589 -20 310 ?   none yet
(900, 319, 118, 110) 19 319 -11 580 ?   none yet
(900, 341, 124, 132) 11 558 -19 341 ?   none yet
(900, 348, 138, 132) 18 348 -12 551 ?   none yet
(900, 372, 150, 156) 12 527 -18 372 ?   none yet
(900, 377, 160, 156) 17 377 -13 522 ?   none yet
(900, 403, 178, 182) 13 496 -17 403 ?   none yet
(900, 406, 184, 182) 16 406 -14 493 ?   none yet
(900, 434, 208, 210) 14 465 -16 434 ?   none yet
(900, 435, 210, 210) 15 435 -15 464 ?   none yet
(901, 60, 3, 4) 7 476 -8 424 ?   none yet
(901, 200, 45, 44) 13 424 -12 476 ?   none yet
(901, 224, 54, 56) 12 476 -14 424 ?   none yet
(901, 252, 71, 70) 14 424 -13 476 ?   none yet
(901, 450, 224, 225) 14.508 450 -15.508 450 ? Conf. none yet
(903, 82, 41, 4) 39 42 -2 860 ?   none yet
(903, 286, 89, 91) 13 473 -15 429 ?   none yet
(903, 396, 165, 180) 9 644 -24 258 ?   none yet
(904, 301, 78, 111) 5 791 -38 112 ?   none yet
(904, 378, 177, 144) 39 112 -6 791 ?   none yet
(905, 452, 225, 226) 14.542 452 -15.542 452 ? Conf. none yet
(909, 454, 226, 227) 14.575 454 -15.575 454 ? Conf. none yet
(910, 189, 28, 42) 7 675 -21 234 ?   none yet
(910, 405, 180, 180) 15 441 -15 468 ?   none yet
(913, 192, 56, 36) 26 165 -6 747 ?   none yet
(918, 392, 166, 168) 14 476 -16 441 ?   none yet
(923, 432, 186, 216) 6 780 -36 142 ?   none yet
(924, 142, 20, 22) 10 497 -12 426 ?   none yet
(924, 143, 22, 22) 11 455 -11 468 ?   none yet
(924, 208, 42, 48) 10 560 -16 363 ?   none yet
(924, 273, 72, 84) 9 637 -21 286 ?   none yet
(924, 312, 76, 120) 4 846 -48 77 ?   none yet
(924, 426, 180, 210) 6 781 -36 142 ?   none yet
(924, 455, 238, 210) 35 143 -7 780 ?   none yet
(925, 108, 39, 9) 33 74 -3 850 ?   none yet
(925, 220, 75, 45) 35 110 -5 814 ?   none yet
(925, 330, 95, 130) 5 814 -40 110 ?   none yet
(925, 336, 104, 132) 6 777 -34 147 ?   none yet
(925, 374, 123, 170) 4 850 -51 74 ?   none yet
(925, 378, 143, 162) 8 702 -27 222 ?   none yet
(925, 384, 158, 160) 14 480 -16 444 ?   none yet
(925, 448, 192, 240) 4 850 -52 74 ?   none yet
(925, 462, 230, 231) 14.707 462 -15.707 462 ? Conf. none yet
(928, 300, 90, 100) 10 608 -20 319 ?   none yet
(928, 441, 224, 196) 35 144 -7 783 ?   none yet
(929, 464, 231, 232) 14.740 464 -15.740 464 ? Conf. none yet
(931, 120, 11, 16) 8 570 -13 360 ?   none yet
(931, 138, 5, 23) 5 759 -23 171 ?   none yet
(931, 162, 33, 27) 15 342 -9 588 ?   none yet
(931, 180, 29, 36) 9 588 -16 342 ?   none yet
(931, 248, 60, 68) 10 589 -18 341 ?   none yet
(931, 280, 84, 84) 14 455 -14 475 ?   none yet
(931, 372, 143, 152) 11 588 -20 342 ?   none yet
(931, 390, 173, 156) 26 228 -9 702 ?   none yet
(931, 450, 241, 195) 51 75 -5 855 ?   none yet
(935, 448, 204, 224) 8 714 -28 220 ?   none yet
(936, 102, 3, 12) 6 663 -15 272 ?   none yet
(936, 110, 4, 14) 6 675 -16 260 ?   none yet
(936, 187, 18, 42) 5 792 -29 143 ?   none yet
(936, 200, 52, 40) 20 260 -8 675 ?   none yet
(936, 220, 50, 52) 12 495 -14 440 ?   none yet
(936, 221, 52, 52) 13 459 -13 476 ?   none yet
(936, 255, 78, 66) 21 272 -9 663 ?   none yet
(936, 330, 120, 114) 18 363 -12 572 ?   none yet
(936, 374, 157, 144) 23 272 -10 663 ?   none yet
(936, 374, 184, 126) 62 51 -4 884 ?   none yet
(936, 375, 150, 150) 15 455 -15 480 ?   none yet
(936, 396, 150, 180) 6 792 -36 143 ?   none yet
(936, 425, 184, 200) 9 675 -25 260 ?   none yet
(936, 440, 196, 216) 8 715 -28 220 ?   none yet
(936, 459, 234, 216) 27 221 -9 714 ?   none yet
(937, 468, 233, 234) 14.805 468 -15.805 468 ? Conf. none yet
(941, 470, 234, 235) 14.838 470 -15.838 470 ? Conf. none yet
(945, 64, 8, 4) 10 350 -6 594 ?   none yet
(945, 112, 7, 14) 7 624 -14 320 ?   none yet
(945, 118, 19, 14) 13 354 -8 590 ?   none yet
(945, 176, 31, 33) 11 504 -13 440 ?   none yet
(945, 304, 103, 95) 19 336 -11 608 ?   none yet
(945, 320, 85, 120) 5 832 -40 112 ?   none yet
(945, 354, 153, 120) 39 118 -6 826 ?   none yet
(945, 384, 138, 168) 6 800 -36 144 ?   none yet
(945, 432, 207, 189) 27 224 -9 720 ?   none yet
(945, 460, 217, 230) 10 644 -23 300 ?   none yet
(946, 84, 42, 4) 40 43 -2 902 ?   none yet
(946, 243, 60, 63) 12 516 -15 429 ?   none yet
(946, 273, 80, 78) 15 429 -13 516 ?   none yet
(946, 360, 138, 136) 16 429 -14 516 ?   none yet
(946, 450, 207, 220) 10 645 -23 300 ?   none yet
(946, 462, 231, 220) 22 301 -11 644 ?   none yet
(949, 84, 11, 7) 11 364 -7 584 ?   none yet
(949, 474, 236, 237) 14.903 474 -15.903 474 ? Conf. none yet
(950, 312, 115, 96) 27 208 -8 741 ?   none yet
(950, 364, 138, 140) 14 494 -16 455 ?   none yet
(952, 351, 150, 117) 39 119 -6 832 ?   none yet
(953, 476, 237, 238) 14.935 476 -15.935 476 ? Conf. none yet
(957, 256, 80, 64) 24 231 -8 725 ?   none yet
(960, 126, 6, 18) 6 714 -18 245 ?   none yet
(960, 137, 28, 18) 17 274 -7 685 ?   none yet
(960, 154, 38, 22) 22 200 -6 759 ?   none yet
(960, 245, 40, 70) 5 833 -35 126 ?   none yet
(960, 273, 76, 78) 13 504 -15 455 ?   none yet
(960, 274, 98, 70) 34 137 -6 822 ?   none yet
(960, 364, 108, 156) 4 884 -52 75 ?   none yet
(960, 392, 148, 168) 8 735 -28 224 ?   none yet
(961, 60, 29, 2) 29 60 -2 900 ?   none yet
(961, 90, 31, 6) 28 90 -3 870 ?   none yet
(961, 120, 35, 12) 27 120 -4 840 ?   none yet
(961, 150, 41, 20) 26 150 -5 810 ?   none yet
(961, 160, 9, 30) 5 800 -26 160 ?   none yet
(961, 180, 49, 30) 25 180 -6 780 ?   none yet
(961, 192, 23, 42) 6 768 -25 192 ?   none yet
(961, 210, 59, 42) 24 210 -7 750 ?   none yet
(961, 224, 39, 56) 7 736 -24 224 ?   none yet
(961, 240, 71, 56) 23 240 -8 720 ?   none yet
(961, 256, 57, 72) 8 704 -23 256 ?   none yet
(961, 270, 85, 72) 22 270 -9 690 ?   none yet
(961, 288, 77, 90) 9 672 -22 288 ?   none yet
(961, 300, 101, 90) 21 300 -10 660 ?   none yet
(961, 320, 99, 110) 10 640 -21 320 ?   none yet
(961, 330, 119, 110) 20 330 -11 630 ?   none yet
(961, 352, 123, 132) 11 608 -20 352 ?   none yet
(961, 360, 139, 132) 19 360 -12 600 ?   none yet
(961, 384, 149, 156) 12 576 -19 384 ?   none yet
(961, 390, 161, 156) 18 390 -13 570 ?   none yet
(961, 416, 177, 182) 13 544 -18 416 ?   none yet
(961, 420, 185, 182) 17 420 -14 540 ?   none yet
(961, 448, 207, 210) 14 512 -17 448 ?   none yet
(961, 450, 211, 210) 16 450 -15 510 ?   none yet
(961, 480, 239, 240) 15.000 480 -16.000 480 ? Conf. none yet
(962, 465, 224, 225) 15 481 -16 480 ?   none yet
(965, 482, 240, 241) 15.032 482 -16.032 482 ? Conf. none yet
(966, 405, 180, 162) 27 230 -9 735 ?   none yet
(969, 176, 13, 36) 5 816 -28 152 ?   none yet
(969, 198, 57, 36) 27 170 -6 798 ?   none yet
(969, 392, 175, 147) 35 152 -7 816 ?   none yet
(970, 380, 162, 140) 30 194 -8 775 ?   none yet
(973, 272, 96, 68) 34 139 -6 833 ?   none yet
(975, 462, 205, 231) 7 792 -33 182 ?   none yet
(976, 117, 28, 12) 21 183 -5 792 ?   none yet
(976, 273, 92, 70) 29 182 -7 793 ?   none yet
(976, 300, 128, 76) 56 60 -4 915 ?   none yet
(976, 455, 198, 224) 7 793 -33 182 ?   none yet
(976, 480, 248, 224) 32 183 -8 792 ?   none yet
(977, 488, 243, 244) 15.128 488 -16.128 488 ? Conf. none yet
(980, 88, 6, 8) 8 539 -10 440 ?   none yet
(980, 99, 18, 9) 15 275 -6 704 ?   none yet
(980, 178, 60, 26) 38 89 -4 890 ?   none yet
(980, 264, 68, 72) 12 550 -16 429 ?   none yet
(980, 267, 74, 72) 15 445 -13 534 ?   none yet
(980, 385, 168, 140) 35 154 -7 825 ?   none yet
(980, 429, 178, 195) 9 715 -26 264 ?   none yet
(980, 445, 210, 195) 25 267 -10 712 ?   none yet
(981, 140, 43, 16) 31 108 -4 872 ?   none yet
(981, 340, 115, 119) 13 544 -17 436 ?   none yet
(981, 392, 133, 172) 5 872 -44 108 ?   none yet
(981, 480, 254, 216) 44 108 -6 872 ?   none yet
(981, 490, 244, 245) 15.160 490 -16.160 490 ? Conf. none yet
(985, 492, 245, 246) 15.192 492 -16.192 492 ? Conf. none yet
(986, 180, 18, 36) 6 782 -24 203 ?   none yet
(987, 170, 49, 25) 29 140 -5 846 ?   none yet
(988, 140, 18, 20) 10 532 -12 455 ?   none yet
(989, 484, 231, 242) 11 644 -22 344 ?   none yet
(990, 86, 43, 4) 41 44 -2 945 ?   none yet
(990, 344, 118, 120) 14 516 -16 473 ?   none yet
(990, 345, 120, 120) 15 483 -15 506 ?   none yet
(990, 368, 124, 144) 8 759 -28 230 ?   none yet
(990, 473, 220, 231) 11 645 -22 344 ?   none yet
(990, 483, 240, 231) 21 345 -12 644 ?   none yet
(993, 310, 89, 100) 10 662 -21 330 ?   none yet
(993, 352, 131, 121) 21 330 -11 662 ?   none yet
(997, 498, 248, 249) 15.288 498 -16.288 498 ? Conf. none yet
(999, 448, 172, 224) 4 924 -56 74 ?   none yet