Unipotent representations for E7, adjoint, split G^v= E7, simply connected, split Atlas version 0.3./Build date: Nov 19 2007 at 06:09:46. Unipotent representations computed from file orbitsAndCells_E7_ad_s_3_3 at Thu Dec 4 10:45:05 2008 Note: 12 orbits have the wrong infinitesimal character and are excluded. See the orbits and cells file. O^v diagram(O^v) O cell Unipotent representations E7 2222222 1 84 24663* 83 24631* E7(a1) 2220222 A1 82 24622* 81 24666* E7(a2) 2220202 2A1 80 24672* 79 24647* E7(a3) 2002022 A2 73 22402,24246* 74 22403,24245* 76 23641,24670* 77 23639,24620* E7(a4) 2002002 A2+2A1 67 23944* 62 20115 68 24624* 70 24630* 71 23943* E7(a5) 0002002 D4(a1) 54 17894,22541,24632* 56 17893,22551,24618* 60 18555,23499* 58 18556,23498* D5(a1)+A1 2000200 A3+A2 59 24646* 51 23033* 48 20098 50 23032* 57 24638* A5'' 2000022 D4 53 21822* 55 21821* A3+A2+A1 0000200 A4+A2 33 21533* 34 21532* 35 24648* 36 24615* (A3+A1)'' 2000002 D5 20 17981* 23 17980* A2+3A1 0200000 A6 15 17500* 17 17501* 24 24677* 21 24653* (3A1)'' 0000002 E6 7 7611* 5 7610* Number of orbits: 23 Number of even orbits: 12 Number of cells: 38 Number of unipotent representations: 48 All unipotent parameters/duals: Unipotent Dual 7610 17065 7611 17068 17500 7185 17501 7186 17893 6779 17894 6782 17980 6698 17981 6701 18555 6119 18556 6120 20098 4579 20115 4562 21532 3144 21533 3145 21821 2854 21822 2857 22402 2274 22403 2275 22541 2133 22551 2143 23032 1644 23033 1645 23498 1178 23499 1179 23639 1031 23641 1033 23943 733 23944 734 24245 431 24246 432 24615 9 24618 12 24620 14 24622 16 24624 18 24630 24 24631 25 24632 26 24638 32 24646 40 24647 41 24648 42 24653 47 24663 57 24666 60 24670 64 24672 66 24677 71 Unipotent representations from block file: 7610( 5828,15865): 15 4 [C+,i1,C+,i1,C+,C+,C-] 9025 7612 8870 7608 8870 9025 6468 ( *, *) ( 8446, *) ( *, *) ( 8332, *) ( *, *) ( *, *) ( *, *) 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 7611( 5828,15866): 15 4 [C+,i1,C+,i1,C+,C+,C-] 9026 7613 8871 7609 8871 9026 6469 ( *, *) ( 8447, *) ( *, *) ( 8331, *) ( *, *) ( *, *) ( *, *) 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 17500(11106, 7071): 23 6 [C+,C-,C+,C+,C+,C+,C+] 18915 16136 18697 18663 18658 18697 18915 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,4,3,1,5,4,2,3,4,5,6,5,4,2,3,1,4,3,5,4,2,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,2 17501(11106, 7072): 23 6 [C+,C-,C+,C+,C+,C+,C+] 18914 16135 18696 18662 18657 18696 18914 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,4,3,1,5,4,2,3,4,5,6,5,4,2,3,1,4,3,5,4,2,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,2 17893(11298, 6677): 23 4 [i1,i1,C+,C-,C+,i1,C-] 17897 17897 19039 16772 19015 17897 16682 (18794, *) (18672, *) ( *, *) ( *, *) ( *, *) (18559, *) ( *, *) 4,2,3,1,4,3,5,4,3,1,6,5,4,2,3,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 17894(11298, 6678): 23 4 [i1,i1,C+,C-,C+,i1,C-] 17898 17898 19040 16773 19016 17898 16683 (18795, *) (18673, *) ( *, *) ( *, *) ( *, *) (18560, *) ( *, *) 4,2,3,1,4,3,5,4,3,1,6,5,4,2,3,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 17980(11371, 6610): 23 4 [C-,C+,C+,i1,i1,i1,C-] 16692 19128 19128 17978 17976 17978 16802 ( *, *) ( *, *) ( *, *) (18811, *) (18805, *) (18802, *) ( *, *) 1,3,4,2,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 17981(11371, 6611): 23 4 [C-,C+,C+,i1,i1,i1,C-] 16693 19129 19129 17979 17977 17979 16801 ( *, *) ( *, *) ( *, *) (18810, *) (18804, *) (18803, *) ( *, *) 1,3,4,2,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 18555(11533, 6053): 24 6 [C+,C+,C+,C-,C+,C+,C-] 19855 19751 19683 17564 19647 19654 17384 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,5,4,2,3,1,4,6,5,4,2,3,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 18556(11533, 6054): 24 6 [C+,C+,C+,C-,C+,C+,C-] 19854 19752 19682 17565 19646 19655 17385 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,5,4,2,3,1,4,6,5,4,2,3,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 20098(12190, 4553): 25 3 [C-,i2,i2,C+,C-,i2,C+] 19025 20098 20098 21025 19092 20098 21024 ( *, *) (20907,20909) (20843,20844) ( *, *) ( *, *) (20814,20815) ( *, *) 1,3,4,2,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5 20115(12201, 4544): 25 3 [C-,C+,C+,C-,C+,C+,C-] 19042 21041 21031 19135 21026 21027 19099 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,3,5,4,2,3,1,4,6,5,4,2,3,1,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4 21532(12605, 3140): 27 6 [C+,C+,C+,C+,C-,C+,C+] 22440 22440 22316 22309 20655 22307 22305 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5 21533(12605, 3141): 27 6 [C+,C+,C+,C+,C-,C+,C+] 22439 22439 22317 22308 20654 22306 22304 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5 21821(12752, 2853): 27 4 [C-,i1,i1,i1,i1,C-,r2] 20986 21823 21823 21819 21823 21018 21822 ( *, *) (22464, *) (22417, *) (22402, *) (22400, *) ( *, *) (21047, *) 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 21822(12752, 2854): 27 4 [C-,i1,i1,i1,i1,C-,r2] 20987 21824 21824 21820 21824 21019 21821 ( *, *) (22463, *) (22418, *) (22403, *) (22401, *) ( *, *) (21047, *) 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 22402(12886, 2274): 28 6 [C-,C+,C+,r1,C+,C-,r2] 21553 23075 23047 22402 23034 21676 22403 ( *, *) ( *, *) ( *, *) (21819,21821) ( *, *) ( *, *) (21826, *) 1,3,4,2,3,5,4,3,1,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 22403(12886, 2275): 28 6 [C-,C+,C+,r1,C+,C-,r2] 21552 23074 23048 22403 23035 21677 22402 ( *, *) ( *, *) ( *, *) (21820,21822) ( *, *) ( *, *) (21826, *) 1,3,4,2,3,5,4,3,1,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 22541(12958, 2133): 29 8 [C+,C+,rn,C-,rn,C+,C-] 23162 23139 22541 21873 22541 23126 21848 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 3,4,2,3,1,4,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 22551(12958, 2143): 29 8 [C+,C+,rn,C-,rn,C+,C-] 23156 23135 22551 21880 22551 23133 21854 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 3,4,2,3,1,4,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 23032(13052, 1644): 29 6 [C-,C+,C+,i2,C-,C+,C+] 22317 23573 23573 23032 22411 23542 23540 ( *, *) ( *, *) ( *, *) (23336,23337) ( *, *) ( *, *) ( *, *) 1,3,4,2,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5 23033(13052, 1645): 29 6 [C-,C+,C+,i2,C-,C+,C+] 22316 23574 23574 23033 22412 23543 23541 ( *, *) ( *, *) ( *, *) (23340,23341) ( *, *) ( *, *) ( *, *) 1,3,4,2,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5 23498(13146, 1178): 30 6 [C+,i2,C+,C-,C+,C+,C-] 23943 23498 23927 23004 23919 23917 22967 ( *, *) (23726,23730) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 23499(13146, 1179): 30 6 [C+,i2,C+,C-,C+,C+,C-] 23944 23499 23928 23005 23920 23918 22968 ( *, *) (23727,23729) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 23639(13196, 1031): 31 8 [C-,C+,C+,C-,C+,C-,r2] 23120 24047 24011 23230 24005 23169 23640 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (23354, *) 1,3,4,2,3,1,4,5,4,2,3,1,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 23641(13196, 1033): 31 8 [C-,C+,C+,C-,C+,C-,r2] 23114 24042 24023 23221 24006 23159 23642 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) (23359, *) 1,3,4,2,3,1,4,5,4,2,3,1,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 23943(13247, 733): 31 6 [C-,i2,i2,C-,C+,C+,C-] 23498 23943 23943 23576 24247 24245 23544 ( *, *) (24179,24183) (24152,24154) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 23944(13247, 734): 31 6 [C-,i2,i2,C-,C+,C+,C-] 23499 23944 23944 23575 24248 24246 23545 ( *, *) (24181,24184) (24149,24150) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 24245(13296, 431): 32 6 [C-,i2,i2,C-,i2,C-,r2] 23917 24245 24245 23961 24245 23943 24246 ( *, *) (24430,24431) (24416,24417) ( *, *) (24408,24410) ( *, *) (23968, *) 1,3,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 24246(13296, 432): 32 6 [C-,i2,i2,C-,i2,C-,r2] 23918 24246 24246 23960 24246 23944 24245 ( *, *) (24434,24435) (24413,24414) ( *, *) (24406,24409) ( *, *) (23968, *) 1,3,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 24615(13329, 9): 35 9 [rn,rn,rn,rn,r2,rn,rn] 24615 24615 24615 24615 24617 24615 24615 ( *, *) ( *, *) ( *, *) ( *, *) (24554, *) ( *, *) ( *, *) 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 24618(13329, 12): 35 9 [rn,rn,rn,r2,rn,rn,r2] 24618 24618 24618 24629 24618 24618 24626 ( *, *) ( *, *) ( *, *) (24529, *) ( *, *) ( *, *) (24605, *) 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 24620(13329, 14): 35 9 [r2,rn,rn,r2,rn,r2,r2] 24675 24620 24620 24631 24620 24607 24630 (24473, *) ( *, *) ( *, *) (24537, *) ( *, *) (24574, *) (24600, *) 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 24622(13329, 16): 35 9 [r2,r2,r2,rn,r2,r2,r2] 24633 24631 24634 24622 24674 24639 24672 (24477, *) (24501, *) (24513, *) ( *, *) (24561, *) (24577, *) (24602, *) 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 24624(13329, 18): 35 9 [r2,rn,rn,r2,rn,rn,r2] 24635 24624 24624 24674 24624 24624 24670 (24474, *) ( *, *) ( *, *) (24532, *) ( *, *) ( *, *) (24596, *) 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 24630(13329, 24): 35 9 [r2,rn,rn,r2,rn,rn,r2] 24608 24630 24630 24650 24630 24630 24620 (24476, *) ( *, *) ( *, *) (24544, *) ( *, *) ( *, *) (24600, *) 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 24631(13329, 25): 35 9 [r2,r2,r2,r2,r2,r2,r2] 24609 24622 24619 24620 24647 24621 24650 (24479, *) (24501, *) (24512, *) (24537, *) (24546, *) (24567, *) (24586, *) 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 24632(13329, 26): 35 9 [rn,rn,rn,r2,rn,rn,r2] 24632 24632 24632 24671 24632 24632 24655 ( *, *) ( *, *) ( *, *) (24526, *) ( *, *) ( *, *) (24597, *) 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 24638(13329, 32): 35 9 [r2,rn,rn,rn,r2,rn,rn] 24612 24638 24638 24638 24625 24638 24638 (24470, *) ( *, *) ( *, *) ( *, *) (24556, *) ( *, *) ( *, *) 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 24646(13329, 40): 35 9 [r2,rn,rn,rn,r2,rn,rn] 24657 24646 24646 24646 24607 24646 24646 (24472, *) ( *, *) ( *, *) ( *, *) (24562, *) ( *, *) ( *, *) 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 24647(13329, 41): 35 9 [r2,r2,r2,rn,r2,rn,r2] 24640 24674 24629 24647 24631 24647 24666 (24468, *) (24494, *) (24508, *) ( *, *) (24546, *) ( *, *) (24604, *) 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 24648(13329, 42): 35 9 [rn,rn,rn,rn,r2,rn,rn] 24648 24648 24648 24648 24643 24648 24648 ( *, *) ( *, *) ( *, *) ( *, *) (24563, *) ( *, *) ( *, *) 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 24653(13329, 47): 35 9 [rn,r2,rn,rn,rn,rn,rn] 24653 24651 24653 24653 24653 24653 24653 ( *, *) (24489, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 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 24663(13329, 57): 35 9 [r2,r2,r2,r2,r2,r2,r2] 24664 24666 24667 24670 24672 24673 24674 (24482, *) (24487, *) (24516, *) (24536, *) (24559, *) (24580, *) (24591, *) 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 24666(13329, 60): 35 9 [r2,r2,r2,rn,r2,r2,r2] 24658 24663 24652 24666 24650 24649 24647 (24485, *) (24487, *) (24509, *) ( *, *) (24557, *) (24584, *) (24604, *) 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 24670(13329, 64): 35 9 [r2,rn,rn,r2,rn,r2,r2] 24659 24670 24670 24663 24670 24625 24624 (24469, *) ( *, *) ( *, *) (24536, *) ( *, *) (24579, *) (24596, *) 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 24672(13329, 66): 35 9 [r2,r2,r2,rn,r2,rn,r2] 24662 24650 24671 24672 24663 24672 24622 (24484, *) (24491, *) (24507, *) ( *, *) (24559, *) ( *, *) (24602, *) 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 24677(13329, 71): 35 9 [rn,r2,rn,rn,rn,rn,rn] 24677 24616 24677 24677 24677 24677 24677 ( *, *) (24493, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 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 Dual to unipotent representations from dual block: 17065(15865, 5828): 20 5 [C-,r2,C-,r2,C-,C-,C+] 15647 17066 15802 17064 15802 15647 18204 ( *, *) (16230, *) ( *, *) (16346, *) ( *, *) ( *, *) ( *, *) 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 17068(15866, 5828): 20 5 [C-,r2,C-,r2,C-,C-,C+] 15650 17069 15805 17067 15805 15650 18207 ( *, *) (16231, *) ( *, *) (16345, *) ( *, *) ( *, *) ( *, *) 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 7185( 7071,11106): 12 3 [C-,C+,C-,C-,C-,C-,C-] 5772 8553 5990 6018 6024 5990 5772 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,1,4,3,1,5,4,3,1,6,5,4,3,1,7,6,5,4,3,1 7186( 7072,11106): 12 3 [C-,C+,C-,C-,C-,C-,C-] 5771 8552 5989 6017 6023 5989 5771 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,1,4,3,1,5,4,3,1,6,5,4,3,1,7,6,5,4,3,1 6779( 6677,11298): 12 5 [r2,r2,C-,C+,C-,r2,C+] 6781 6781 5639 7903 5660 6781 7990 ( 5882, *) ( 6004, *) ( *, *) ( *, *) ( *, *) ( 6117, *) ( *, *) 1,2,3,1,5,4,2,3,4,5,6,5,4,2,3,1,4,3,5,6 6782( 6678,11298): 12 5 [r2,r2,C-,C+,C-,r2,C+] 6784 6784 5642 7906 5663 6784 7993 ( 5883, *) ( 6005, *) ( *, *) ( *, *) ( *, *) ( 6118, *) ( *, *) 1,2,3,1,5,4,2,3,4,5,6,5,4,2,3,1,4,3,5,6 6698( 6610,11371): 12 5 [C+,C-,C-,r2,r2,r2,C+] 7983 5547 5547 6697 6696 6697 7880 ( *, *) ( *, *) ( *, *) ( 5859, *) ( 5873, *) ( 5874, *) ( *, *) 2,3,4,2,3,4,5,4,2,3,4,5,6,5,4,2,3,4,5,6 6701( 6611,11371): 12 5 [C+,C-,C-,r2,r2,r2,C+] 7986 5550 5550 6700 6699 6700 7877 ( *, *) ( *, *) ( *, *) ( 5858, *) ( 5872, *) ( 5875, *) ( *, *) 2,3,4,2,3,4,5,4,2,3,4,5,6,5,4,2,3,4,5,6 6119( 6053,11533): 11 3 [C-,C-,C-,C+,C-,C-,C+] 4823 4925 4995 7110 5027 5022 7292 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,5,4,2,3,6,5,4,2,3,1,4,3,5,6 6120( 6054,11533): 11 3 [C-,C-,C-,C+,C-,C-,C+] 4822 4926 4994 7111 5026 5023 7293 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,5,4,2,3,6,5,4,2,3,1,4,3,5,6 4579( 4553,12190): 10 6 [C+,r1,r1,C-,C+,r1,C-] 5652 4579 4579 3652 5585 4579 3653 ( *, *) ( 3768, 3770) ( 3833, 3834) ( *, *) ( *, *) ( 3862, 3863) ( *, *) 2,3,4,2,3,4,5,6,5,7,6,5,4,2,3,4 4562( 4544,12201): 10 6 [C+,C-,C-,C+,C-,C-,C+] 5635 3636 3646 5541 3651 3650 5578 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,5,4,2,3,6,5,4,2,3,4,5,7,6,5 3144( 3140,12605): 8 3 [C-,C-,C-,C-,C+,C-,C-] 2238 2238 2360 2369 4023 2371 2373 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,2,3,1,4,3,6,7,6 3145( 3141,12605): 8 3 [C-,C-,C-,C-,C+,C-,C-] 2237 2237 2361 2368 4022 2370 2372 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,2,3,1,4,3,6,7,6 2854( 2853,12752): 8 5 [C+,r2,r2,r2,r2,C+,i1] 3686 2855 2855 2853 2855 3654 2857 ( *, *) ( 2214, *) ( 2259, *) ( 2274, *) ( 2276, *) ( *, *) ( 3628, *) 2,3,4,2,3,4,5,4,2,3,4,5 2857( 2854,12752): 8 5 [C+,r2,r2,r2,r2,C+,i1] 3689 2858 2858 2856 2858 3657 2854 ( *, *) ( 2213, *) ( 2260, *) ( 2275, *) ( 2277, *) ( *, *) ( 3628, *) 2,3,4,2,3,4,5,4,2,3,4,5 2274( 2274,12886): 7 3 [C+,C-,C-,i2,C-,C+,i1] 3125 1603 1629 2274 1642 2998 2275 ( *, *) ( *, *) ( *, *) ( 2853, 2854) ( *, *) ( *, *) ( 2851, *) 2,3,4,2,3,5,4,2,3,4,5 2275( 2275,12886): 7 3 [C+,C-,C-,i2,C-,C+,i1] 3124 1602 1630 2275 1643 2999 2274 ( *, *) ( *, *) ( *, *) ( 2856, 2857) ( *, *) ( *, *) ( 2851, *) 2,3,4,2,3,5,4,2,3,4,5 2133( 2133,12958): 6 1 [C-,C-,ic,C+,ic,C-,C+] 1512 1529 2133 2803 2133 1556 2818 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,4,5,6,5,4,2,3,1 2143( 2143,12958): 6 1 [C-,C-,ic,C+,ic,C-,C+] 1506 1525 2143 2810 2143 1563 2824 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,4,5,6,5,4,2,3,1 1644( 1644,13052): 6 3 [C+,C-,C-,r1,C+,C-,C-] 2361 1103 1103 1644 2265 1134 1136 ( *, *) ( *, *) ( *, *) ( 1336, 1337) ( *, *) ( *, *) ( *, *) 2,3,4,2,3,4,6,7,6 1645( 1645,13052): 6 3 [C+,C-,C-,r1,C+,C-,C-] 2360 1104 1104 1645 2266 1135 1137 ( *, *) ( *, *) ( *, *) ( 1340, 1341) ( *, *) ( *, *) ( *, *) 2,3,4,2,3,4,6,7,6 1178( 1178,13146): 5 3 [C-,r1,C-,C+,C-,C-,C+] 733 1178 749 1672 757 759 1709 ( *, *) ( 948, 952) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,5,6,5 1179( 1179,13146): 5 3 [C-,r1,C-,C+,C-,C-,C+] 734 1179 750 1673 758 760 1710 ( *, *) ( 949, 951) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,5,6,5 1031( 1031,13196): 4 1 [C+,C-,C-,C+,C-,C+,i1] 1550 647 651 1460 685 1519 1032 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 1318, *) 2,3,4,5,4,2,3 1033( 1033,13196): 4 1 [C+,C-,C-,C+,C-,C+,i1] 1544 642 663 1451 686 1509 1034 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( 1323, *) 2,3,4,5,4,2,3 733( 733,13247): 4 3 [C+,r1,r1,C+,C-,C-,C+] 1178 733 733 1102 429 431 1132 ( *, *) ( 493, 497) ( 526, 528) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,5,6,5 734( 734,13247): 4 3 [C+,r1,r1,C+,C-,C-,C+] 1179 734 734 1101 430 432 1133 ( *, *) ( 495, 498) ( 523, 524) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,5,6,5 431( 431,13296): 3 3 [C+,r1,r1,C+,r1,C+,i1] 759 431 431 717 431 733 432 ( *, *) ( 242, 243) ( 264, 265) ( *, *) ( 268, 270) ( *, *) ( 709, *) 2,3,5 432( 432,13296): 3 3 [C+,r1,r1,C+,r1,C+,i1] 760 432 432 716 432 734 431 ( *, *) ( 246, 247) ( 261, 262) ( *, *) ( 266, 269) ( *, *) ( 709, *) 2,3,5 9( 9,13329): 0 0 [ic,ic,ic,ic,i1,ic,ic] 9 9 9 9 11 9 9 ( *, *) ( *, *) ( *, *) ( *, *) ( 120, *) ( *, *) ( *, *) e 12( 12,13329): 0 0 [ic,ic,ic,i1,ic,ic,i1] 12 12 12 23 12 12 20 ( *, *) ( *, *) ( *, *) ( 135, *) ( *, *) ( *, *) ( 91, *) e 14( 14,13329): 0 0 [i1,ic,ic,i1,ic,i1,i1] 69 14 14 25 14 1 24 ( 199, *) ( *, *) ( *, *) ( 143, *) ( *, *) ( 100, *) ( 86, *) e 16( 16,13329): 0 0 [i1,i1,i1,ic,i1,i1,i1] 27 25 28 16 68 33 66 ( 203, *) ( 187, *) ( 159, *) ( *, *) ( 127, *) ( 103, *) ( 88, *) e 18( 18,13329): 0 0 [i1,ic,ic,i1,ic,ic,i1] 29 18 18 68 18 18 64 ( 200, *) ( *, *) ( *, *) ( 138, *) ( *, *) ( *, *) ( 82, *) e 24( 24,13329): 0 0 [i1,ic,ic,i1,ic,ic,i1] 2 24 24 44 24 24 14 ( 202, *) ( *, *) ( *, *) ( 150, *) ( *, *) ( *, *) ( 86, *) e 25( 25,13329): 0 0 [i1,i1,i1,i1,i1,i1,i1] 3 16 13 14 41 15 44 ( 205, *) ( 187, *) ( 158, *) ( 143, *) ( 112, *) ( 93, *) ( 72, *) e 26( 26,13329): 0 0 [ic,ic,ic,i1,ic,ic,i1] 26 26 26 65 26 26 49 ( *, *) ( *, *) ( *, *) ( 132, *) ( *, *) ( *, *) ( 83, *) e 32( 32,13329): 0 0 [i1,ic,ic,ic,i1,ic,ic] 6 32 32 32 19 32 32 ( 196, *) ( *, *) ( *, *) ( *, *) ( 122, *) ( *, *) ( *, *) e 40( 40,13329): 0 0 [i1,ic,ic,ic,i1,ic,ic] 51 40 40 40 1 40 40 ( 198, *) ( *, *) ( *, *) ( *, *) ( 128, *) ( *, *) ( *, *) e 41( 41,13329): 0 0 [i1,i1,i1,ic,i1,ic,i1] 34 68 23 41 25 41 60 ( 194, *) ( 180, *) ( 154, *) ( *, *) ( 112, *) ( *, *) ( 90, *) e 42( 42,13329): 0 0 [ic,ic,ic,ic,i1,ic,ic] 42 42 42 42 37 42 42 ( *, *) ( *, *) ( *, *) ( *, *) ( 129, *) ( *, *) ( *, *) e 47( 47,13329): 0 0 [ic,i1,ic,ic,ic,ic,ic] 47 45 47 47 47 47 47 ( *, *) ( 175, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) e 57( 57,13329): 0 0 [i1,i1,i1,i1,i1,i1,i1] 58 60 61 64 66 67 68 ( 208, *) ( 173, *) ( 162, *) ( 142, *) ( 125, *) ( 106, *) ( 77, *) e 60( 60,13329): 0 0 [i1,i1,i1,ic,i1,i1,i1] 52 57 46 60 44 43 41 ( 211, *) ( 173, *) ( 155, *) ( *, *) ( 123, *) ( 110, *) ( 90, *) e 64( 64,13329): 0 0 [i1,ic,ic,i1,ic,i1,i1] 53 64 64 57 64 19 18 ( 195, *) ( *, *) ( *, *) ( 142, *) ( *, *) ( 105, *) ( 82, *) e 66( 66,13329): 0 0 [i1,i1,i1,ic,i1,ic,i1] 56 44 65 66 57 66 16 ( 210, *) ( 177, *) ( 153, *) ( *, *) ( 125, *) ( *, *) ( 88, *) e 71( 71,13329): 0 0 [ic,i1,ic,ic,ic,ic,ic] 71 10 71 71 71 71 71 ( *, *) ( 179, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) e