Unipotent representations for E8 quaternionic G^v=E8 split Atlas version 0.3./Build date: Nov 19 2007 at 06:09:46. Unipotent representations computed from file orbitsAndCells_E8_sc_s_1_2 at Thu Dec 4 10:54:16 2008 O^v diagram(O^v) O cell Unipotent representations E8 22222222 0 30 73408 E8(a1) 22202222 A1 29 73350 E8(a2) 22202022 2A1 27 71595 28 73317 E8(a3) 20020222 A2 17 42195,51691 26 73029,73031 23 72466,72942 E8(a4) 20020202 A2+A1 25 72452 E8(b4) 20020022 A2+2A1 22 68753 24 72300 E8(a5) 20020020 2A2 20 71440 E8(b5) 00020022 D4(a1) 15 39221,47961 12 58079,66616,71343 19 69616,71013 D7(a1) 20002002 A3+A2 18 60614 E6 20000222 D4 13 29395 10 69292 D5+A2 00002002 A4+A2 7 52175 E6(a1) 20000202 D5(a1) 8 51969 D5 20000022 D5 2 11201 3 39091 D4+A2 02000002 A6 5 13141 D4 00000022 E6 0 15 Number of orbits: 20 Number of even orbits: 15 Number of cells: 23 Number of unipotent representations: 30 All unipotent parameters/duals: Unipotent Dual 15 73305 11201 62199 13141 60268 29395 44041 39091 34315 39221 34193 42195 31217 47961 25447 51691 21723 51969 21437 52175 21236 58079 15331 60614 12794 66616 6793 68753 4656 69292 4112 69616 3791 71013 2396 71343 2064 71440 1969 71595 1814 72300 1107 72452 960 72466 943 72942 467 73029 378 73031 380 73317 94 73350 59 73408 1 Unipotent representations from block file: 15( 15,320205): 0 0 [i1,i1,i1,i1,i1,i1,ic,ic] 5 71 72 1 73 45 15 15 ( 332, *) ( 299, *) ( 283, *) ( 245, *) ( 211, *) ( 192, *) ( *, *) ( *, *) e 11201(11151,314349): 12 1 [C-,i1,C+,i1,i1,i1,C-,ic] 9323 11217 13031 11207 11198 11214 9457 11201 ( *, *) (12828, *) ( *, *) (12626, *) (12609, *) (12598, *) ( *, *) ( *, *) 1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,5,6,7 13141(13034,311622): 14 4 [rn,C-,C+,rn,C+,rn,C+,ic] 13141 11237 15134 13141 15164 13141 15169 13141 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,4,2,3,1,5,4,2,3,4,5,6,5,4,2,3,1,4,3,5,4,2,6 29395(28729,288342): 20 1 [C-,i1,i1,i1,C+,C-,ic,ic] 26784 29370 29388 29369 32000 26809 29395 29395 ( *, *) (31906, *) (31780, *) (31750, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6 39091(37737,263402): 24 2 [ic,C+,i1,i1,C+,C+,C-,ic] 39091 42002 39095 39090 42002 41740 36423 39091 ( *, *) ( *, *) (40390, *) (40235, *) ( *, *) ( *, *) ( *, *) ( *, *) 7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7 39221(37867,263381): 24 2 [C+,C+,C+,C-,i1,C+,ic,ic] 42218 42087 41924 36882 39216 41834 39221 39221 ( *, *) ( *, *) ( *, *) ( *, *) (40352, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,5,4,2,3,1,4,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4 42195(40631,255704): 25 2 [C-,C+,C+,C-,C+,C-,ic,C-] 39166 44878 44531 39629 44727 39598 42195 39602 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,4,3,5,4,2,6,5,4,2,3,1,7,6,5,4,2,3,1,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,8,7,6 47961(45695,231287): 28 3 [C+,C+,C+,C-,C+,C+,ic,ic] 51076 50862 50862 46086 50328 50339 47961 47961 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,1,4,3,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4 51691(49177,220530): 29 2 [ic,C+,C+,C-,C+,ic,ic,C-] 51691 54089 54014 49565 53927 51691 51691 49351 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,6,5,4,2,3,1,7,6,5,4,2,3,1,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,8,7,6,5,4 51969(49455,220483): 29 2 [C-,C+,i1,i1,C+,C-,C+,C-] 49391 54299 51970 51971 54188 49656 54202 49646 ( *, *) ( *, *) (53510, *) (53415, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,5,6,5,4,2,3,1,4,3,5,4,2,7,6,5,4,2,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,8,7,6,5,4,3,1 52175(49637,216382): 30 4 [C+,C+,rn,C+,C-,C+,C+,C-] 54567 54484 52175 54361 49898 54379 54484 49864 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 3,5,4,2,3,1,4,3,6,5,4,2,3,1,4,3,7,6,5,4,2,3,1,4,3,5,4,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,8,7,6,5 58079(54801,190221): 32 2 [C+,C+,i1,C-,C+,i1,C-,ic] 60110 60052 58076 56200 59945 58076 56072 58079 ( *, *) ( *, *) (58975, *) ( *, *) ( *, *) (58857, *) ( *, *) ( *, *) 4,2,3,4,5,4,2,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,4 60614(56828,170017): 34 3 [ic,C+,C+,C+,C-,C+,C+,C-] 60614 62583 62407 62318 58803 62583 62318 58784 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7,6,5 66616(61880,126826): 38 3 [i2,C+,C+,C-,C+,C+,C-,ic] 66616 67919 67799 65639 67726 67749 65350 66616 (67524,67526) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,4,5,6,5,4,2,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4 68753(63609,106132): 40 3 [ic,C+,C+,C-,C+,C+,C-,C-] 68753 69753 69665 67980 69607 69620 67754 67753 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,1,4,5,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7 69292(64148,105643): 40 2 [C-,C+,C+,i1,i1,ic,ic,ic] 68335 70075 70075 69295 69297 69292 69292 69292 ( *, *) ( *, *) ( *, *) (69880, *) (69873, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1 69616(64292, 96228): 41 3 [C+,C+,C+,C-,C+,C+,ic,ic] 70569 70482 70404 68946 70348 70367 69616 69616 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,5,4,2,3,1,4,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4 71013(65379, 77581): 43 3 [C+,C+,C+,C-,i2,C+,ic,ic] 71751 71751 71566 70528 71013 71545 71013 71013 ( *, *) ( *, *) ( *, *) ( *, *) (71344,71345) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4 71343(65695, 71299): 44 4 [C+,C+,C+,C-,rn,C+,ic,ic] 71950 71950 71821 70830 71343 71816 71343 71343 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4 71440(65727, 70080): 44 4 [C-,C+,C+,C-,C+,C+,C-,C+] 70770 71948 71842 70954 71903 71905 70874 71909 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,4,2,3,1,4,3,5,4,2,3,4,5,6,5,4,2,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4 71595(65831, 68876): 44 3 [ic,C-,ic,C+,C-,C+,r1,C-] 71595 70974 71595 71971 71087 72033 71595 71071 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (71311,71315) ( *, *) 2,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 72300(66354, 53822): 46 4 [C-,C+,C+,C-,rn,C+,ic,ic] 71821 72640 72640 71953 72300 72607 72300 72300 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1 72452(66478, 53033): 46 3 [C-,C+,C+,C-,C+,C-,C+,C-] 71989 72756 72678 72132 72719 72104 72724 72102 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,4,3,1,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,7,6,5,4,2,3,1,4,3,5,4,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 72466(66492, 53016): 46 3 [C-,C+,C+,C-,C+,ic,ic,C-] 72006 72766 72742 72178 72736 72466 72466 72127 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,5,4,2,3,1,6,5,4,2,3,1,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4 72942(66818, 39462): 48 3 [C-,C+,C+,C-,C+,ic,ic,C-] 72664 73116 73116 72767 73094 72942 72942 72737 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,3,5,4,2,3,1,6,5,4,2,3,1,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4 73029(66865, 34027): 49 4 [C-,C+,C+,C-,C+,ic,ic,C-] 72795 73178 73178 72868 73163 73029 73029 72847 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,3,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 73031(66865, 34029): 49 4 [C-,C+,C+,C-,C+,ic,ic,C-] 72794 73179 73179 72870 73164 73031 73031 72848 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,3,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 73317(67055, 19528): 52 4 [ic,C-,ic,C+,C-,C+,C-,r2] 73317 73227 73317 73353 73248 73360 73245 73315 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (73284, *) 2,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 73350(67078, 19050): 52 3 [C-,C-,C-,C+,ic,ic,C-,C-] 73287 73295 73296 73381 73350 73350 73299 73298 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,2,3,5,4,2,3,1,6,5,4,2,3,1,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 73408(67109, 7128): 56 4 [C-,ic,ic,ic,ic,C-,r2,r2] 73401 73408 73408 73408 73408 73403 73407 73409 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (73405, *) (73406, *) 1,3,4,2,5,4,3,1,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 Dual to unipotent representations from dual block: 73305(320205, 15): 64 9 [r2,r2,r2,r2,r2,r2,rn,rn] 73295 73361 73362 73291 73363 73335 73305 73305 (73082, *) (73105, *) (73145, *) (73163, *) (73185, *) (73222, *) ( *, *) ( *, *) 1,2,3,1,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 62199(314349,11151): 52 8 [C+,r2,C-,r2,r2,r2,C+,rn] 64071 62215 60379 62205 62196 62212 63925 62199 ( *, *) (60586, *) ( *, *) (60780, *) (60799, *) (60812, *) ( *, *) ( *, *) 2,3,1,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3 60268(311622,13034): 50 5 [ic,C+,C-,ic,C-,ic,C-,rn] 60268 62174 58273 60268 58243 60268 58242 60268 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 3,1,4,3,5,4,3,1,6,5,4,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 44041(288342,28729): 44 8 [C+,r2,r2,r2,C-,C+,rn,rn] 46638 44016 44034 44015 41434 46607 44041 44041 ( *, *) (41502, *) (41628, *) (41658, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,4,2,3,4,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,4,5 34315(263402,37737): 40 7 [rn,C-,r2,r2,C-,C-,C+,rn] 34315 31408 34319 34314 31408 31674 36991 34315 ( *, *) ( *, *) (33019, *) (33174, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8 34193(263381,37867): 40 7 [C-,C-,C-,C+,r2,C-,rn,rn] 31192 31325 31486 36526 34188 31570 34193 34193 ( *, *) ( *, *) ( *, *) ( *, *) (33056, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,3,5,4,2,3,6,5,4,2,3,1,4,3,5,4,2,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1 31217(255704,40631): 39 7 [C+,C-,C-,C+,C-,C+,rn,C+] 34246 28532 28881 33785 28681 33814 31217 33806 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,1,4,2,3,1,5,4,2,3,1,4,3,6,5,4,2,3,1,4,3,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,8,7,6,5,4,2,3 25447(231287,45695): 36 6 [C-,C-,C-,C+,C-,C-,rn,rn] 22333 22545 22545 27322 23081 23069 25447 25447 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,5,4,2,6,5,4,2,3,1,4,3,5,4,2,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5 21723(220530,49177): 35 7 [rn,C-,C-,C+,C-,rn,rn,C+] 21723 19315 19396 23843 19477 21723 21723 24061 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,5,4,2,3,1,4,6,5,4,2,3,1,4,3,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,8,7,6,5 21437(220483,49455): 35 7 [C+,C-,r2,r2,C-,C+,C-,C+] 24017 19105 21438 21439 19222 23754 19212 23768 ( *, *) ( *, *) (19899, *) (19985, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,4,2,3,4,5,4,2,3,1,4,3,5,4,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,2,8,7 21236(216382,49637): 34 5 [C-,C-,ic,C-,C+,C-,C-,C+] 18842 18927 21236 19050 23511 19032 18927 23543 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,7,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,8,7,6 15331(190221,54801): 32 7 [C-,C-,r2,C+,C-,r2,C+,rn] 13298 13360 15328 17210 13469 15328 17334 15331 ( *, *) ( *, *) (14433, *) ( *, *) ( *, *) (14551, *) ( *, *) ( *, *) 1,2,3,1,4,2,5,4,2,3,1,4,3,6,5,4,2,3,1,4,3,5,4,2,6,5,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,8 12794(170017,56828): 30 6 [rn,C-,C-,C-,C+,C-,C-,C+] 12794 10826 11002 11091 14606 10826 11091 14625 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,2,3,1,4,3,5,4,2,3,1,4,3,6,5,4,2,3,1,4,3,5,4,2,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3 6793(126826,61880): 26 6 [r1,C-,C-,C+,C-,C-,C+,rn] 6793 5490 5610 7770 5684 5659 8059 6793 ( 5883, 5885) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,5,4,3,1,6,5,4,2,3,1,4,3,5,4,6,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,7,6,8 4656(106132,63609): 24 6 [rn,C-,C-,C+,C-,C-,C+,C+] 4656 3656 3744 5429 3802 3789 5656 5657 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,5,4,3,6,5,4,2,3,1,4,3,5,4,2,6,5,7,6,5,4,2,3,1,4,3,5,6,8,7,6,5,4,2,3,1,4,3,5,6 4112(105643,64148): 24 7 [C+,C-,C-,r2,r2,rn,rn,rn] 5069 3331 3331 4115 4117 4112 4112 4112 ( *, *) ( *, *) ( *, *) ( 3522, *) ( 3536, *) ( *, *) ( *, *) ( *, *) 2,3,4,2,3,4,5,4,2,3,4,5,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,4,5,6,7,8 3791( 96228,64292): 23 6 [C-,C-,C-,C+,C-,C-,rn,rn] 2840 2927 3004 4461 3053 3042 3791 3791 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,5,4,2,3,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,6,7,8 2396( 77581,65379): 21 6 [C-,C-,C-,C+,r1,C-,rn,rn] 1658 1658 1843 2881 2396 1864 2396 2396 ( *, *) ( *, *) ( *, *) ( *, *) ( 2065, 2066) ( *, *) ( *, *) ( *, *) 1,2,3,1,5,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,6,7,8 2064( 71299,65695): 20 5 [C-,C-,C-,C+,ic,C-,rn,rn] 1457 1457 1586 2581 2064 1593 2064 2064 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,6,7,8 1969( 70080,65727): 20 5 [C+,C-,C-,C+,C-,C-,C+,C-] 2641 1461 1565 2453 1506 1502 2535 1500 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,1,5,4,3,1,6,5,4,2,3,1,4,3,5,4,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,7,6,8 1814( 68876,65831): 20 6 [rn,C+,rn,C-,C+,C-,i2,C+] 1814 2435 1814 1438 2324 1376 1814 2338 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 2095, 2099) ( *, *) 1,3,1,4,2,3,1,4,3,5,4,2,3,4,5,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,6 1107( 53822,66354): 18 5 [C+,C-,C-,C+,ic,C-,rn,rn] 1586 771 771 1454 1107 804 1107 1107 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,4,5,6,7,8 960( 53033,66478): 18 6 [C+,C-,C-,C+,C-,C+,C-,C+] 1424 656 734 1277 690 1307 688 1309 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,1,4,3,1,5,4,2,3,1,4,3,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,7 943( 53016,66492): 18 6 [C+,C-,C-,C+,C-,rn,rn,C+] 1403 643 667 1231 673 943 943 1282 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,4,5,4,2,3,4,6,5,4,2,3,4,5,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3 467( 39462,66818): 16 6 [C+,C-,C-,C+,C-,rn,rn,C+] 745 293 293 642 315 467 467 672 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,5,4,2,3,4,6,5,4,2,3,4,5,7,6,5,4,2,3,4,5,6,8,7,6,5 378( 34027,66865): 15 5 [C+,C-,C-,C+,C-,rn,rn,C+] 616 231 231 539 246 378 378 560 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,5,4,2,3,4,5,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7 380( 34029,66865): 15 5 [C+,C-,C-,C+,C-,rn,rn,C+] 615 232 232 541 247 380 380 561 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,5,4,2,3,4,5,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7 94( 19528,67055): 12 5 [rn,C+,rn,C-,C+,C-,C+,i1] 94 184 94 58 163 47 166 92 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 125, *) 1,3,1,4,2,3,1,4,3,6,5,4,2,3,1,4,3,5,4,6 59( 19050,67078): 12 6 [C+,C+,C+,C-,rn,rn,C+,C+] 122 114 113 28 59 59 110 111 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,5,4,2,3,4,6,5,4,2,3,4,5,7,6,5,4 1( 7128,67109): 8 5 [C+,rn,rn,rn,rn,C+,i1,i1] 10 1 1 1 1 6 0 2 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 4, *) ( 3, *) 2,3,4,2,3,4,5,4,2,3,4,5