# Stored data for newform 475.2.bb.b, downloaded from the LMFDB on 06 September 2025.
{"Nk2": 1900, "analytic_conductor": 3.7928940960108184, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 95, "char_degree": 12, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 28, "char_orbit_label": "bb", "char_order": 36, "char_parity": 1, "char_values": [475, 36, [77, 401], [9, 10]], "cm_discs": [], "conrey_index": 32, "dim": 96, "has_non_self_twist": 1, "hecke_cutters": [[2, [531441, 11691702, 128608722, 395510202, -1903916907, -25397683488, 49172595480, -124465441752, 2354833543860, -5110034471406, 8123600392956, -70478301813930, 69524313685524, 5305513077018, 842904539702820, -1272910828152600, 1816081363279746, -697544312527278, 9079697694015846, -21674956447674432, 19223332131355380, 9218320428939510, -10670177126551500, -67092925443239928, 179231317600923658, -245992328452564308, 202673818647454950, -114208830659115684, 27203534402735880, -116020918090699176, 294146309511903402, -316406840904438594, 214118788663989603, -92939721616696962, 184441503074245218, -247970596613191704, 146408322378655418, -3332888131098714, -29131661593951758, -40521148168336296, 103059532917161562, -71256032377756290, -18470071422345132, 87916510021799136, -96832365900700656, 59811497871763350, -13303525007105784, -18123695221624386, 27578899627430327, -20246144350548810, 6823365793910964, 3254407703626146, -6471916716646497, 4600277667636624, -1266016271328630, -982266801733434, 1555695336194013, -1104563617300290, 445759689254346, -8732041389156, -150929267622708, 142816707501084, -82323876184254, 31337921247186, -4743629751249, -3811112880924, 4032701119638, -2243311140624, 909035753589, -313877809026, 120523299588, -64119611814, 39490791480, -22298508180, 10754407422, -4470739068, 1612707633, -479206080, 99187092, -7056612, -1838889, -616578, 705924, 232236, -686693, 592032, -327960, 130878, -36672, 4656, 2178, -1962, 897, -294, 72, -12, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4505455086797275, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 19, 6, -1, 18, 0], [1, 1, 95, 18, 1, 36, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "475.2.bb.b", "level": 475, "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, 19], "level_radical": 95, "minimal_twist": "95.2.r.a", "prim_orbit_index": 18, "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "1.2.3.c36", "self_twist_discs": [], "self_twist_type": 0, "space_label": "475.2.bb", "trace_display": [12, 12, 0, 0], "traces": [96, 12, 12, 0, 0, -12, 0, 18, 0, 0, -12, 18, 12, 0, 0, 12, 30, 0, 0, 0, 24, 24, 0, 0, 0, -48, 18, 0, 0, 0, -36, -18, -90, 0, 0, 24, 0, -54, 0, 0, 12, -24, -48, 0, 0, -36, 24, -60, 0, 0, -96, 0, 30, 0, 0, 0, 66, -120, 0, 0, -48, -60, 126, 0, 0, 72, -108, -18, 0, 0, -24, -48, -6, 0, 0, 60, -168, 138, 0, 0, -120, -60, 0, 0, 0, -180, 6, 198, 0, 0, -24, 72, 90, 0, 0, -192, 72, 90, 0, 0, 72, -30, 72, 0, 0, 96, 90, 6, 0, 0, 120, 60, 0, 0, 0, 264, 6, -24, 0, 0, 48, 18, -24, 0, 0, 288, -36, -258, 0, 0, 144, 0, -18, 0, 0, -108, 66, -180, 0, 0, -36, 126, -138, 0, 0, -12, -48, 90, 0, 0, 0, -144, -156, 0, 0, 120, -132, 108, 0, 0, -36, -114, -18, 0, 0, -120, 30, -6, 0, 0, -84, -120, 288, 0, 0, -144, -6, 90, 0, 0, -96, -66, 234, 0, 0, -192, 18, 216, 0, 0, -120, 348, 150, 0, 0, 36, 48, 270, 0, 0, 12, 396, -18, 0, 0, -216, 90, 0, 0, 0, 48, -12, -240, 0, 0, 108, 90, -372, 0, 0, 36, 120, -222, 0, 0, -12, 0, -168, 0, 0, 192, -144, -366, 0, 0, 72, -126, -306, 0, 0, -24, -270, -138, 0, 0, 0, -12, -396, 0, 0, 12, -282, -6, 0, 0, -156, -42, -36, 0, 0, -144, -144, 24, 0, 0, -216, -240, 354, 0, 0, -192, 288, -66, 0, 0, -132, -36, 414, 0, 0, 276, -288, 24, 0, 0, 216, 102, 150, 0, 0, 180, 84, 270, 0, 0, -96, 108, -30, 0, 0, 312, 240, 0, 0, 0, 312, 216, 6, 0, 0, 0, 198, 6, 0, 0, 324, -84, -312, 0, 0, 0, 0, -24, 0, 0, 300, 24, -228, 0, 0, 252, -72, -108, 0, 0, 288, -180, 96, 0, 0, 0, 168, -72, 0, 0, -180, 78, 324, 0, 0, -60, -204, 30, 0, 0, -408, 432, 144, 0, 0, -168, -204, 420, 0, 0, -312, 54, 114, 0, 0, -72, 120, 378, 0, 0, 84, 270, 444, 0, 0, -720, 282, -78, 0, 0, 492, 156, -18, 0, 0, -96, 162, 336, 0, 0, -204, 78, 0, 0, 0, 48, 84, 108, 0, 0, -60, 36, 198, 0, 0, 216, 318, -42, 0, 0, 564, 0, -312, 0, 0, 120, -246, -324, 0, 0, 324, -294, -474, 0, 0, -72, -408, -204, 0, 0, 0, -456, -648, 0, 0, -192, -264, 144, 0, 0, -360, -288, -6, 0, 0, -276, -276, -90, 0, 0, 12, -252, 330, 0, 0, 12, -18, -108, 0, 0, -192, -240, 54, 0, 0, 252, -348, 24, 0, 0, -456, -78, 66, 0, 0, -324, -318, -36, 0, 0, -36, -234, -96, 0, 0, 108, -96, 0, 0, 0, 156, 48, 72, 0, 0, 132, 378, -78, 0, 0, 72, -210, -342, 0, 0, -168, 0, -6, 0, 0, -180, -36, -372, 0, 0, 396, -114, -288, 0, 0, 24, 0, 24, 0, 0, 0, 168, 12, 0, 0, -432, -174, 84, 0, 0, 48, 180, 114, 0, 0, -168, 258, 180, 0, 0, -276, -12, 312, 0, 0, 24, 306, 144, 0, 0, 12, 150, 234, 0, 0, -612, 114, 552, 0, 0, -216, 420, 36, 0, 0, -48, 126, 648, 0, 0, -96, 702, -90, 0, 0, -252, 354, 0, 0, 0, -96, 0, -318, 0, 0, -420, 216, 78, 0, 0, 36, 390, -252, 0, 0, -96, 0, 234, 0, 0, -120, 42, -168, 0, 0, 468, -66, -348, 0, 0, -48, -450, -348, 0, 0, 0, -120, -480, 0, 0, 408, 210, -120, 0, 0, -36, -60, 108, 0, 0, 180, -348, -126, 0, 0, 204, -324, -84, 0, 0, -252, 24, -66, 0, 0, 180, -102, 234, 0, 0, 312, 42, 156, 0, 0, 864, -60, 258, 0, 0, 468, -36, -90, 0, 0, 300, 36, -144, 0, 0, -12, -120, 0, 0, 0, 624, 324, -132, 0, 0, 372, -162, -168, 0, 0, 144, -120, -12, 0, 0, 360, 0, 228, 0, 0, 372, 114, -6, 0, 0, -72, -96, 144, 0, 0, 780, 114, 228, 0, 0, 0, -324, 204, 0, 0, 60, -78, -156, 0, 0, -120, -108, -150, 0, 0, -360, 258, 258, 0, 0, 624, 492, 432, 0, 0, 204, 156, -162, 0, 0, -252, -114, 162, 0, 0, -216, 426, -288, 0, 0, -384, 306, 354, 0, 0, -444, 24, -18, 0, 0, 0, 90, -6, 0, 0, 672, -234, 0, 0, 0, -156, -198, 24, 0, 0, -156, 450, -576, 0, 0, -396, -60, 24, 0, 0, -180, 0, -270, 0, 0, 396, -84, -288, 0, 0, -468, 258, 252, 0, 0, -588, -90, 54, 0, 0, 0, 6, -156, 0, 0, 180, -504, 186, 0, 0, 216, -96, -300, 0, 0, 264, 54, -168, 0, 0, -312, -384, -378, 0, 0, -192, 114, -138, 0, 0, -252, 120, 270, 0, 0, 180, -330, 24, 0, 0, -480, -102, 54, 0, 0, 60, -36, 252, 0, 0, -264, -216, 216, 0, 0, -192, 546, 0, 0, 0, -264, 24, 144, 0, 0, -36, -252, 246, 0, 0, 1188, -264, 72, 0, 0, 312, 0, 162, 0, 0, -264, -78, 228, 0, 0, -252, 114, 60, 0, 0, 264, -30, 312, 0, 0, 0, 480, 48, 0, 0, -456, 78, -156, 0, 0, -456, 48, 180, 0, 0, 0, 144, 78, 0, 0, -348, 0, 24, 0, 0, -372, -258, 162, 0, 0, 60, 312, -216, 0, 0, -372, 444, -210, 0, 0, -456, -222, -552, 0, 0, -48, 294, -144, 0, 0, -276, -306, 246, 0, 0, -1044, -348, 0, 0, 0, 108, 264, -330, 0, 0, -84, -180, 312, 0, 0, -756, 18, -66, 0, 0, -180, 0, -648, 0, 0, -48, -6, 534, 0, 0, -216, -126, -114, 0, 0], "weight": 2, "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}