# Stored data for newform 325.6.b.i, downloaded from the LMFDB on 03 December 2024. {"Nk2": 11700, "analytic_conductor": 52.1247414392187, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": 1, "char_values": [325, 2, [27, 301], [1, 2]], "cm_discs": [], "conrey_index": 274, "dim": 22, "has_non_self_twist": 1, "hecke_cutters": [[2, [1946150871040000, 0, 3145378164002816, 0, 1398765945152512, 0, 268333195926016, 0, 26720687566976, 0, 1524456672016, 0, 52747377652, 0, 1135601504, 0, 15190681, 0, 122167, 0, 539, 0, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028865839104325, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "325.6.b.i", "level": 325, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [5, 13], "level_radical": 65, "minimal_twist": "325.6.a.j", "prim_orbit_index": 2, "related_objects": [], "relative_dim": 22, "rm_discs": [], "sato_tate_group": "5.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "325.6.b", "trace_display": [0, 0, 0, 0], "traces": [22, 0, 0, -374, 0, 702, 0, 0, -2744, 0, 2552, 0, 0, -1156, 0, 11414, 0, 0, -7040, 0, 3412, 0, 0, -15446, 0, 1690, 0, 0, -36850, 0, 18136, 0, 0, 28910, 0, 75368, 0, 0, -3718, 0, -20020, 0, 0, -121302, 0, -19716, 0, 0, -146626, 0, 73212, 0, 0, -96026, 0, -2524, 0, 0, -263284, 0, -86730, 0, 0, -360142, 0, -117214, 0, 0, -118690, 0, 136840, 0, 0, -742792, 0, 45034, 0, 0, -104478, 0, 215014, 0, 0, -1705432, 0, 404492, 0, 0, -655424, 0, 70304, 0, 0, -1299948, 0, 1799326, 0, 0, -853396, 0, 189242, 0, 0, -55770, 0, 1793548, 0, 0, -702300, 0, 629208, 0, 0, -978466, 0, 683860, 0, 0, -543500, 0, 419774, 0, 0, -824792, 0, -310412, 0, 0, -1767078, 0, 458114, 0, 0, -1741374, 0, -2918610, 0, 0, -415870, 0, 309520, 0, 0, -3426576, 0, -301730, 0, 0, -1496672, 0, 2458492, 0, 0, 1818452, 0, 518154, 0, 0, 94370, 0, -528188, 0, 0, 2726994, 0, -3085138, 0, 0, -628342, 0, 3514680, 0, 0, 5469404, 0, -659994, 0, 0, -2168710, 0, -2017888, 0, 0, 8336448, 0, -7214444, 0, 0, 1429620, 0, 4825834, 0, 0, -1522316, 0, -5748598, 0, 0, -654414, 0, 2322128, 0, 0, 7343658, 0, -371792, 0, 0, -162636, 0, -1538216, 0, 0, 10644266, 0, -8432702, 0, 0, 8199236, 0, 749684, 0, 0, 135092, 0, -3427386, 0, 0, 1218044, 0, 3531640, 0, 0, 2290288, 0, 3770324, 0, 0, 489172, 0, -4612544, 0, 0, 13391268, 0, -7137114, 0, 0, 10883180, 0, 8906976, 0, 0, -3613272, 0, 4240390, 0, 0, 6542168, 0, 2620960, 0, 0, 17817218, 0, -6803152, 0, 0, 5785318, 0, -434964, 0, 0, 5738726, 0, -27443360, 0, 0, -2300036, 0, 91436, 0, 0, -6152872, 0, -2293330, 0, 0, -5260082, 0, 7446776, 0, 0, 18901842, 0, 10277112, 0, 0, 410670, 0, 1703404, 0, 0, 22360958, 0, -33268888, 0, 0, 16764030, 0, 599030, 0, 0, 2558116, 0, -16321176, 0, 0, -12002352, 0, 4346094, 0, 0, 19969706, 0, -28455294, 0, 0, -2190980, 0, 13170132, 0, 0, 516852, 0, 4046872, 0, 0, -16985290, 0, 28852852, 0, 0, -5840536, 0, -10529424, 0, 0, -1055732, 0, 54418, 0, 0, -28460776, 0, 7734514, 0, 0, -25879580, 0, 44881090, 0, 0, -4308148, 0, 1311428, 0, 0, -29778488, 0, 17488792, 0, 0, -3595082, 0, 20702388, 0, 0, -18300784, 0, 27403674, 0, 0, -55430798, 0, -5046598, 0, 0, -33336578, 0, 7607700, 0, 0, -14406600, 0, 2380632, 0, 0, -23926784, 0, 54452944, 0, 0, -22003396, 0, -39043412, 0, 0, -215824, 0, 19404320, 0, 0, -12719072, 0, 7153770, 0, 0, -29376414, 0, 4270204, 0, 0, -64774800, 0, -47205472, 0, 0, -6674824, 0, 41521812, 0, 0, 6375340, 0, -10383864, 0, 0, -7739144, 0, 35426972, 0, 0, 13449072, 0, 24461908, 0, 0, -27799100, 0, 26599672, 0, 0, 24924484, 0, -66981194, 0, 0, -42424388, 0, 17331724, 0, 0, -36777980, 0, -62846216, 0, 0, -30772652, 0, -9135844, 0, 0, -18897684, 0, 14359068, 0, 0, 21479112, 0, -770640, 0, 0, 29993828, 0, -55320048, 0, 0, -21841340, 0, 46118830, 0, 0, 8038654, 0, -31888528, 0, 0, -51248128, 0, -15075448, 0, 0, -5344924, 0, 53619984, 0, 0, 21584680, 0, 10681680, 0, 0, -14635556, 0, -36849816, 0, 0, 31550308, 0, 16057370, 0, 0, 21237272, 0, -34499448, 0, 0, -1317484, 0, 51316348, 0, 0, -42354418, 0, 95517402, 0, 0, -33525148, 0, -23674448, 0, 0, 32853322, 0, -14934192, 0, 0, 89025144, 0, -19035992, 0, 0, 60491264, 0, -42207490, 0, 0, -2285894, 0, 39684052, 0, 0, -33582168, 0, 10639862, 0, 0, -2904390, 0, 22975504, 0, 0, 112444488, 0, 2737240, 0, 0, 12730648, 0, 20474004, 0, 0, 69956958, 0, -125680076, 0, 0, 102253104, 0, -24338544, 0, 0, 46779178, 0, 72990216, 0, 0, 10905326, 0, 25562502, 0, 0, -4435472, 0, -90540004, 0, 0, 69216508, 0, 1389180, 0, 0, 88149210, 0, -121495212, 0, 0, 16763040, 0, -56569546, 0, 0, -21391682, 0, 89754780, 0, 0, -7697656, 0, -14553704, 0, 0, 56738876, 0, 28710596, 0, 0, 64863144, 0, 59747030, 0, 0, 61697304, 0, -58331074, 0, 0, 108042220, 0, -11524376, 0, 0, 239324992, 0, -71512778, 0, 0, -59432418, 0, -34494972, 0, 0, 99223470, 0, 80218456, 0, 0, 76416396, 0, -22736888, 0, 0, -3963690, 0, 10681814, 0, 0, 62316776, 0, -209718480, 0, 0, 63795948, 0, -17034572, 0, 0, -5283954, 0, -9348188, 0, 0, -127754926, 0, -150423504, 0, 0, -3912258, 0, 25048454, 0, 0, 194684034, 0, 109585452, 0, 0, 33958736, 0, -124682964, 0, 0, 303013880, 0, -26644314, 0, 0, -3733678, 0, -240942100, 0, 0, 29402900, 0, -211701480, 0, 0, 22069042, 0, 126691116, 0, 0, -54610316, 0, -227896104, 0, 0, -94539032, 0, -69619212, 0, 0, 121010940, 0, 155986744, 0, 0, -66077412, 0, -29570538, 0, 0, -26246376, 0, 209992024, 0, 0, -107728748, 0, 77301508, 0, 0, -272446868, 0, 44877300, 0, 0, 160128880, 0, 89347698, 0, 0, -138081232, 0, 426223940, 0, 0, -241710184, 0, -163943720, 0, 0, 124912558, 0, 77236420, 0, 0, 163828664, 0, 97569684, 0, 0, -284736692, 0, 165984228, 0, 0, -5002500, 0, -121690000, 0, 0, -340574346, 0, -39187720, 0, 0, 127508484, 0, -157405320, 0, 0, -237504024, 0, -28445746, 0, 0, -73841508, 0, 217374380, 0, 0, -231448508, 0, 28466724, 0, 0, 145187110, 0, 95868554, 0, 0, -39825482, 0, 467508634, 0, 0, -178704112, 0, 2232884, 0, 0, 103764430, 0, 73511908, 0, 0, 212824924, 0, 127502712, 0, 0, -242689292, 0, -289959018, 0, 0, -191845144, 0, -232954736, 0, 0, -32657754, 0, 213825482, 0, 0, -51835260, 0, -34105552, 0, 0, -87758160, 0, -444914194, 0, 0, -242065508, 0, 93987330, 0, 0, -125491626, 0, 199259582, 0, 0, -28287028, 0, -118856440, 0, 0, -255091680, 0, 717835956, 0, 0, -53675080, 0, -150928760, 0, 0, -134258982, 0, 33514604, 0, 0, 233251304, 0, -22810778, 0, 0, -126415466, 0, 168095288, 0, 0, 25799424, 0, -439118680, 0, 0, -517909224, 0, 478066232, 0, 0, -20863376, 0, -265278584, 0, 0, -77635572, 0, -71219304, 0, 0, -85988282, 0, -86170684, 0, 0, -556370588, 0, 33873784, 0, 0, -42059368, 0, 104542188, 0, 0, -617624820, 0, 281495012, 0, 0, -246717696, 0, -6163742, 0, 0, 398957482, 0, 278453256, 0, 0, 138609172, 0, 150148056, 0, 0, 123590556, 0, -366158460, 0, 0, -66400400, 0, -121051352, 0, 0, 505043430, 0, 371768212, 0, 0, -164950226, 0, -85654514, 0, 0, 6962040, 0, -349501422, 0, 0, -10654728, 0], "weight": 6, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}