# Stored data for newform 230.4.g.b, downloaded from the LMFDB on 23 April 2024.
{"label": "230.4.g.b", "space_label": "230.4.g", "level": 230, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4504012011340006, "dim": 60, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [52040944832873678566681706068411561, -44168951311727031185853493822382758, -74311321722929063950860319039032299, 109304664176111268708639407686306773, 597812911178856049778341416585650882, -1270672994877107520226253742519050018, 1685712624051414371024753828352170208, -1454466411134044599865873928540016318, 1774973607247166769569442827993215536, -766036387682557874719648378722618983, 526789139342984752996750906977203915, -220180898990666147320117598730211797, 236743839200855639220733166983489115, 205530274993431957746089286936295863, 151771921013089331543516887031224963, 78470555033625431320766023066333444, 19568010348072653804911896260850306, 1427642867872124538831909571390182, 1239472205494228805878444170923592, -547761259896596885600765242613273, 553449548768070863385061058041427, -164587859962084238499577748118334, 33242505893537660056576221705980, -15446154932685846508400012934258, 5303039065137744305083941861972, -184593561619064514245727440285, 405481322789977963952331731307, 9613062758476553606651006365, 15349603653408564126866659925, 733455266270086231998834548, 320168745911629085914925600, 26209300692198770833791195, 4591287717943250164480960, -1229146854322418423029, 183005593169322811140185, -20974288754352070568445, 6036462432599655733815, -87290137465497451675, 171639878266597848021, 183721611875397348, 5744598053692203415, -20317118269266727, 92579065405998995, -231532415887820, 1544771544805936, -41610375690413, 27533433467943, 86558600756, 272121543752, 13077341026, 2198356814, -106374446, 30673589, -513097, 388132, 46774, 6348, 469, 51, 3, 1]]], "char_order": 11, "char_parity": 1, "char_degree": 10, "char_conductor": 23, "char_orbit_label": "g", "char_is_real": false, "Nk2": 3680, "analytic_conductor": 13.570439301320341, "level_radical": 230, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [230, 11, [47, 51], [11, 3]], "inner_twist_count": 2, "level_primes": [2, 5, 23], "conrey_indexes": [31, 41, 71, 81, 101, 121, 131, 141, 151, 211], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "3.2.3.c11", "trace_display": [12, -3, -30, 100], "traces": [60, 12, -3, -24, -30, 6, 100, 48, 69, 60, -51, 120, 184, 20, -15, -96, -334, -138, 258, -120, 716, 344, -288, 288, -150, 336, -813, -40, 1462, 30, -481, 192, 269, -168, -380, 12, -787, -978, 2065, 240, -1843, 724, 128, -204, 2380, 92, -1838, 480, -606, 300, 2320, -12, -3284, 636, -200, -800, -2710, -856, -2708, -60, 437, 962, 6063, -384, -15, 1090, 2804, 600, 7900, -120, 2676, 1384, 876, 1574, -75, 20, 9310, -2612, -1233, -480, -6030, -1132, -9923, -964, 1300, 5222, -5719, -1176, -1827, 190, -7626, 564, 230, -1142, 2445, 96, 939, -5916, -10589, -600, -834, 1982, -4066, 200, -1865, -1594, 246, 444, 3548, 400, -2822, -160, 454, -960, 2575, -3128, -9177, 488, -16696, 120, -11199, -7254, 16599, -208, -750, 2878, -4939, 768, 5962, 1680, 19797, 5652, -9325, -7038, -1590, -672, 5840, -4426, -5540, -1520, 6019, -3768, 3488, -1888, -5395, 9446, 8704, 900, 13230, -1500, -4362, 4536, 23254, 13632, 5130, 5224, -14922, 11574, -3120, -9600, -1595, -9016, 5319, 5520, 7065, 19846, -8782, 2984, 6718, 700, 747, 4956, -20292, -12828, -250, 1296, 25341, 3412, -4755, -2360, 8616, -15592, 2146, -160, -7620, -16762, 13329, -3568, -6528, -2580, -16025, -192, 934, 14358, 920, -19408, -2904, 4590, 5833, 1200, 6847, 1668, 18577, 920, -4540, 9100, 33164, 480, 5894, 2410, -5904, 3188, 7199, -8632, 640, -6432, 21346, 1770, -45643, -1020, 17749, 12134, 20548, 320, 1725, -18024, -47464, -10840, -33896, 460, -6830, -3424, 10194, -29914, 9565, -5024, -39048, 6618, 58941, -240, 2152, -3980, -73586, 14992, -3030, 31724, 19930, 416, 15758, 1500, -8626, 28960, 21765, -7392, -1325, -1536, -3575, -11924, -21045, 3680, 12819, 31114, 2143, 11224, -10645, -15978, 18088, 1052, 70505, 8130, -6667, -5344, -28951, -40610, -4300, -18384, -7330, -1086, 17233, 400, -28318, -28516, -54074, 16688, 23520, 20348, 21428, 608, -72044, 10130, 71307, 12172, 12476, -17408, -6280, -2504, -23813, 43324, 2597, -3600, 521, 20978, 14349, -9072, -10025, -20240, 16378, -15472, 68761, 1070, -68784, -16520, 43137, 22430, 19425, 10072, 25309, -19522, 8391, -1920, 52396, -35684, -25600, -24120, -4200, 3244, -25299, -8752, -15038, 5450, 28533, 21732, -29634, 2164, -15790, 7408, 27901, 27242, -22858, -1400, -59267, -7940, -23328, 5312, -4610, 3008, -30045, 23148, 32450, 500, -51874, 1632, -53466, 48890, -4055, -23368, -108674, -47118, 61757, 6920, 38192, 24964, -19016, -7404, -23615, -30538, 72136, -5312, -65284, -2250, -24069, 17684, -65289, -34644, -375, -11872, 78207, 55912, 28231, 2520, -107822, -22224, 22993, 384, 20590, -1868, -90007, 24964, 50778, 10700, 47798, -19616, 40538, 49896, 12590, -9180, -130382, -39936, -65932, -2400, 23545, -83896, -33407, -29384, 23640, 49878, 127753, 10480, -57689, -10940, -17567, -16264, 113502, -37904, -12600, 800, 37633, 40990, -30016, -7240, -90348, 7496, 84460, 26272, 2100, 6788, -63037, 9784, 146597, -4470, 49741, 12864, -52094, 6126, 14305, 6184, 8015, 78064, 27389, -3240, 196200, -35498, -76798, 6884, -9135, -20834, 16500, -4864, -4787, -150, -4329, -26916, 45275, 28356, -13875, 19480, -5329, -2762, -44150, -7520, 9730, 5652, 2290, 23392, -19090, -8002, -13702, -7976, 90873, 21570, -54158, -27264, -171373, -4250, 12225, 27244, 13855, -117882, -59174, 480, 161789, 112296, -29784, 44832, -12795, 28438, 207033, -29984, 5406, -24300, 47985, -7788, -5475, 12764, 47705, -7696, 24897, 118744, 102705, -3000, -14679, -23426, 86509, 11512, -28150, -41220, -31092, -19756, -90417, 13100, -70422, 3072, 3248, -29260, 53975, 41052, -85545, -2856, -187078, 120, -4156, 64980, 63727, -62228, -9050, -39772, 36459, 15744, -21522, -45260, -1584, 58444, 210354, -36176, -29625, 25264, -75725, 79122, 20474, 16740, -112267, -56670, 32119, 480, 17080, 72092, -106962, -6516, -106679, 2550, -25038, -33456, 106528, -56950, -30335, 37812, 40888, -85792, -101531, -800, 147308, 79296, -95209, -71272, -45580, -95792, -57190, 6488, -47564, -47040, -100926, 15008, 140152, 100584, -1150, 30464, 20015, 42492, 105059, -20260, -178917, -116720, -270193, -11584, -5570, -99356, -14894, -86580, 152724, 2440, 178478, 12576, -27074, -80106, -16545, 52920, 10398, -74736, -215632, -6000, 74457, 89730, -32461, -51240, 29145, 35586, 190740, -160, 198012, 44250, -34526, -22484, 42544, 97814, 91960, 30944, -147364, 71874, 6445, 3800, 102041, -3364, 139413, 10864, -3750, -86274, -118607, -15028, -94022, 53000, 131365, -49712, -198740, -44458, 42515, 79876, 212992, 71196, -67889, 3840, -106785, 50484, 133134, -49632, -89540, -45952, 84732, 7672, 63300, 150, -186238, 10716, 164867, 237642, 29135, -14528, -33533, -71740, 162149, 5380, -260580, -57066, -189108, -45136, -23470, 58652, -103493, 34920, -290283, -2630, 176852, -14816, -63764, -73358, -7950, -37984, -64343, -147444, -11064, -10400, 20681, 183588, 193916, 101152, -24150, -1634, 38546, 19824, 39450, -52820, -190730, -81168, 225117, 73334, 16245, 60448, -54501, -16566, 291394, 10000, 62648, 28684, -215718, -2560, 30095, -38378, -184201, -97780, -243650, -41720, 458479, 31248, -84232, -245004, 36085, 38048, 67428, -123514, -73357, 240, -205082, -128106, -131654, -12924, 10700, 26680, 36425, 14104, 335967, -8760, -153679, -19840, 148137, 5526, -78470, -9440, -396692, -111454, 259558, 15720, -74428, -25430, -37101, 18136, 76325, 132404, -51749, -77584, 55865, 750, 23532, -34512, -25557, -156414, -64050, 133124, 98495, 256092, -207656, 24880, -204827, 195514, 414914, 44448, -47850, -228278, 19570, -768, 226292, -11040, -46632, -6912, 73938, 306250, -12025, 4632, 272518, 100668, -18402, 3680, 30832, -124438, -305514, -77632, -56075, 70878, 208399, 12804, 134714, 57870, 191266, 84712, 88275, 9062, 21745, -41744, -124943, -185112, -246261, 4800, -175424, 60226, 185269, -38392, -16940, -210628, -306152, -4944, 46161, -47280, -78527, -32348, -628384, -110790, 1515, -4240, -200576, -52636, 256058, 27600, 94212, -38676, -42032, 28568, -13625, 203734, 267428, -98828, -422172, 11560, 142356, -192, 26790, 132832, 11310, 73824, 151069, 173574, 195012, -28640, -48826, -137006, -5050, -5092, -11785, -168920, -337869, 9056, 36404, -7500, 158743, -24664, -19382, 94856, 126440, -19568, -141072, -187660, -121032, 22580, 133816, 132574, 17907, -3552, 97035, 286458, 319996, 139020, 48205, 75560, 85900, 7080, 213662, -247712, 1500, -182572, 496034, 77640, 271703, 11760, -141260, 192580, 186079, 57092, 28750, -56262, 149423, -19752, 35468, -62910, -412734, 41668, -24069, 89518, 42225, -1536, -93495, 153124, -241864, -17300, -29771, 8658, -226374, 72928, 43080, -402796, 157013, -89492, -9867, -24060, -231157, 43408, 18986, 37498, -134470, 151736, 312327, 213634, -41728, -6520, -515218, -135752, 185707, 109740, -19675, -118606, -137013, -18976, 61766, 68320, 271555, -44760, -356004, 91292, 66645, 8912, -188642, -181746, -541303, 29680, 551250, 31580, 22122, -74656, 90450, 308668, 25053, 8500, 46812, -250, 219968, -153752, -255607, 123848, -40965, -50148, 286080, 109900, 42282, -960, 177287, 21756, 530983, 8608, -5230, 31738, -222100, -15920, 380266, 5790, 146075, 4284, -240382, 149904, 32650, 58032, 158035, 123476, 202901, -23120, 110944, -69746, 83789, 15576, 16005, 57568, 129187, 33608, -218248, -15000, 123332, 15392, 313407, -49794, 123160, -30248, -375379, -174214, -339340, 6000], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 3, 1, 11, 0]], "char_orbit_index": 7, "prim_orbit_index": 3, "minimal_twist": "230.4.g.b", "char_is_minimal": true, "conrey_index": 31, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}