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char_dir_orbits • Show schema
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{'char_degree': 72, 'conductor': 571, 'galois_orbit': [6, 20, 23, 36, 38, 49, 51, 56, 65, 105, 117, 120, 123, 125, 138, 142, 146, 148, 149, 154, 158, 163, 176, 179, 182, 186, 189, 201, 206, 208, 215, 216, 225, 226, 228, 257, 267, 281, 283, 294, 302, 303, 305, 317, 319, 330, 336, 354, 377, 384, 400, 405, 409, 410, 411, 415, 431, 439, 449, 460, 476, 484, 485, 503, 521, 523, 529, 544, 545, 549, 556, 564], 'is_minimal': True, 'is_primitive': True, 'is_real': False, 'kernel_field_poly': [12919164263952059, -901511709149941183, -44790331222191190290, -209199242006271591956, 9361285971121137870131, 103673725759939969591038, -105156706098429765681022, -7080904779422520243607833, -41847702767147422997712623, -53239566055433872520995452, 457439129425687892533823216, 2280773420687947729284253734, 2462313648979625637031675355, -11938750391580402292983656351, -46357307425244435442839532451, -35324069011033585179415069668, 155025902716310761931309572068, 437998480560582780953793822499, 177380912588606874778756857052, -1144796856721106325707820958498, -2198489367438838258716433506482, -68327074204517347222774270240, 5002524577168730479266820021856, 6186581036788685699636224472352, -2423057008387461472099411572161, -13234644963497670713031512611374, -9635913812223023022581159330464, 9702817056831184115788251374325, 21509638110924679977329693857908, 6917179438622574624151526268698, -18221006923969857511576642054108, -21384642045476089712746356930369, 1311947264379286684511126305147, 19721025099618159352372547965986, 12329718233215994232362223953794, -6930651987571601602794036611036, -12974470571406759823624682141803, -3134808675936274354884436002996, 6160729768959209903543885169185, 5123619651853456227465340658074, -634905675184740801118480350693, -2872065358569567775002442092017, -1065058712098433841729926919279, 774520409330812899460625919750, 774183482161999688277925745466, 23660743165596589521225820178, -270888289571406381105105686170, -111503373978242479439868783819, 45871688250317307760398547966, 49630020146614037782346337495, 3667258830328863888244855015, -12053543702766889905922852902, -4632003681263592257817077956, 1485374494808973784902884949, 1451567070562887844404403874, 80233393007026193179334229, -266579875582054784436341735, -80907192482069033807006482, 27740738068826801755942136, 19683410039738477977471985, -79972629700361887999177, -2913790484004310446134390, -562982485235604556681649, 274736670472793536363420, 118464776353563904342677, -11567507185213741418875, -14776776882840726867634, -1100914395652512792943, 1259153893460960431508, 275039887069909038067, -70249510876234347363, -30630505649221509153, 1589554045512930611, 2305949913119292319, 140245064117191105, -125551418077987048, -19611594125222990, 4851990977717843, 1347723694748068, -114824927587337, -63873583790891, 173298854537, 2235131895453, 118761595732, -58444631397, -5786263650, 1124664382, 161900199, -15285298, -3014609, 135140, 37306, -651, -282, 1, 1], 'label': '571.l', 'modulus': 571, 'orbit_index': 12, 'orbit_label': '571.12', 'order': 95, 'parity': 1, 'prim_orbit_index': 12}
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char_dir_values • Show schema
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{'conrey_index': 179, 'label': '571.179', 'modulus': 571, 'orbit_label': '571.12', 'order': 95, 'prim_label': '571.179', 'values': [[570, 0], [1, 0], [2, 50], [3, 17], [4, 5], [5, 49], [6, 67], [7, 32], [8, 55], [9, 34], [10, 4], [11, 91]], 'values_gens': [[3, 17]]}