# Stored data for newform 429.2.y.b, downloaded from the LMFDB on 20 April 2024.
{"label": "429.2.y.b", "space_label": "429.2.y", "level": 429, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4505248928367021, "dim": 176, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [14641, 0, -4441547, 0, 517302467, 0, -856732217, 0, 90970504619, 0, -668531051850, 0, 5717872787228, 0, -45616527634237, 0, 279041232045386, 0, -1253470888428088, 0, 5048017395459358, 0, -17454984556128266, 0, 46791079069480851, 0, -92577323758167726, 0, 137153158347908147, 0, -158912841450303740, 0, 153431497924440919, 0, -128746577791570116, 0, 95748121180661828, 0, -63620807700154834, 0, 38265614146348745, 0, -21017020650110050, 0, 10584102746200030, 0, -4898036906301775, 0, 2094466740014085, 0, -828768087076204, 0, 303571215748793, 0, -103032877723718, 0, 32494448980658, 0, -9500240999236, 0, 2575450716210, 0, -647618329097, 0, 150934602773, 0, -32476924409, 0, 6451309067, 0, -1180450812, 0, 197952989, 0, -30202849, 0, 4185549, 0, -520748, 0, 57065, 0, -5386, 0, 434, 0, -27, 0, 1]]], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 429, "char_orbit_label": "y", "char_is_real": false, "Nk2": 1716, "analytic_conductor": 3.4255822467129287, "level_radical": 429, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [429, 10, [287, 79, 67], [5, 9, 5]], "inner_twist_count": 8, "level_primes": [3, 11, 13], "conrey_indexes": [116, 194, 233, 272], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 44, "sato_tate_group": "1.2.3.c10", "trace_display": [0, -6, 0, 0], "traces": [176, 0, -6, 20, 0, 0, 0, 0, 6, 0, 0, 12, -10, 0, 0, 36, 0, 0, 0, 0, 0, -96, 0, 0, -20, 0, 6, 0, 0, -100, 0, 0, 0, 0, 0, -116, 0, 0, 50, 60, 0, 52, 0, 0, 0, 0, 0, 32, -88, 0, -90, 210, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, -62, 0, 0, 96, 0, 0, 0, 0, 0, 166, 0, 0, -112, -60, 0, 70, -144, 0, 0, 0, 0, 0, -148, 0, 100, 62, 0, 0, -180, 0, 0, 0, 0, 0, 8, 0, 0, -252, 0, -100, 0, 0, 36, 0, 0, 0, 0, 0, -82, 0, 0, -120, 160, 0, 0, 64, 0, 0, 0, 0, -120, -160, 0, 130, 20, 0, 0, -24, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, -284, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 20, -44, 0, -66, 440, 0, 0, 0, 0, 346, 296, 0, 426, -70, 0, 0, -180, 0, 0, 0, 0, 0, 240, 0, 0, -176, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, -216, 0, 204, 16, 0, 0, 0, 0, 140, 60, 0, 16, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, -20, 0, 0, 14, 0, 0, 0, 0, 0, 198, 0, 0, -166, 260, 0, -160, 0, 0, 0, 0, 0, -16, -420, 0, 20, -102, 0, 0, -140, 0, 0, 0, 0, 0, 236, 0, 0, 240, 0, -250, 0, 0, -398, 0, 0, 0, 0, 0, 350, 0, 0, -170, 0, 0, 400, 340, 0, 0, 0, 0, -210, 40, 0, 0, -310, 0, 0, 56, 0, 0, 0, 0, 0, 48, 0, 0, 416, 0, -180, 0, 0, -310, 0, 0, 0, 0, 0, 372, 0, 0, -374, 8, 0, 220, 0, 0, 0, 0, 0, -130, 168, 0, 254, 270, 0, 0, -76, 0, 0, 0, 0, 0, 176, 0, 0, 260, 0, 170, 0, 0, -228, 0, 0, 0, 0, 0, 550, 0, 0, 0, 364, 0, -170, -368, 0, 0, 0, 0, -270, -384, 0, -272, 332, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, -940, 0, 144, 0, 0, -410, 0, 0, 0, 0, 0, -100, 0, 0, -164, 500, 0, -280, -288, 0, 0, 0, 0, -170, -292, 0, -690, 70, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -720, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -100, 0, 0, 332, -328, 0, -324, -64, 0, 0, 0, 0, -560, 0, 0, 316, 210, 0, 0, 124, 0, 0, 0, 0, 0, -312, 0, 0, -416, 0, -168, 0, 0, 310, 0, 0, 0, 0, 0, -172, 0, 0, 440, 100, 0, 482, 0, 0, 0, 0, 0, -382, 144, 0, 10, -90, 0, 0, 456, 0, 0, 0, 0, 0, -360, 0, 0, 132, 0, -516, 0, 0, 362, 0, 0, 0, 0, 0, -20, 0, 0, -176, 580, 0, 204, -8, 0, 0, 0, 0, 0, -260, 0, 570, 48, 0, 0, -300, 0, 0, 0, 0, 0, -368, 0, 0, -624, 0, 120, 0, 0, -94, 0, 0, 0, 0, 0, -82, 0, 0, 250, 80, 0, 0, 1412, 0, 0, 0, 0, 16, -1480, 0, 1160, 370, 0, 0, -608, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 16, 0, 0, 590, 0, 0, 0, 0, 0, 0, 0, 0, 220, -244, 0, -244, 540, 0, 0, 0, 0, 434, -680, 0, 194, 620, 0, 0, -240, 0, 0, 0, 0, 0, 340, 0, 0, 240, 0, 410, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, -210, -148, 0, -230, -264, 0, 0, 0, 0, 610, -480, 0, -164, 0, 0, 0, -220, 0, 0, 0, 0, 0, 560, 0, 0, 428, 0, -260, 0, 0, -256, 0, 0, 0, 0, 0, 710, 0, 0, -108, 204, 0, 0, 340, 0, 0, 0, 0, 480, 260, 0, 196, 164, 0, 0, 480, 0, 0, 0, 0, 0, 540, 0, 0, 540, 0, -100, 0, 0, -700, 0, 0, 0, 0, 0, 200, 0, 0, -630, 0, 0, 540, -540, 0, 0, 0, 0, -50, -60, 0, 0, -702, 0, 0, 480, 0, 0, 0, 0, 0, 952, 0, 0, 544, 0, 102, 0, 0, -280, 0, 0, 0, 0, 0, 336, 0, 0, -96, 112, 0, 340, -520, 0, 0, 0, 0, 430, 660, 0, 80, -200, 0, 0, -476, 0, 0, 0, 0, 0, 480, 0, 0, 180, 0, 268, 0, 0, -204, 0, 0, 0, 0, 0, 120, 0, 0, 0, 212, 0, -300, -216, 0, 0, 0, 0, 30, 748, 0, -1036, -148, 0, 0, -888, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 412, 0, 0, -490, 0, 0, 0, 0, 0, -290, 0, 0, 164, 1200, 0, -220, 460, 0, 0, 0, 0, -340, 196, 0, -580, -350, 0, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, -1580, 0, 0, 0, 0, 700, 0, 0, 0, 0, 0, -700, 0, 0, 536, -840, 0, -554, -404, 0, 0, 0, 0, -402, 0, 0, -1164, -230, 0, 0, 832, 0, 0, 0, 0, 0, -1532, 0, 0, -1080, 0, -706, 0, 0, 710, 0, 0, 0, 0, 0, -86, 0, 0, 230, -1300, 0, 182, 0, 0, 0, 0, 0, -556, 580, 0, -390, -250, 0, 0, -400, 0, 0, 0, 0, 0, -880, 0, 0, 672, 0, -872, 0, 0, -48, 0, 0, 0, 0, 0, 26, 0, 0, -260, 320, 0, -660, -100, 0, 0, 0, 0, 0, -108, 0, -20, -68, 0, 0, 120, 0, 0, 0, 0, 0, -1080, 0, 0, -296, 0, -570, 0, 0, 210, 0, 0, 0, 0, 0, -726, 0, 0, -350, 60, 0, 0, 224, 0, 0, 0, 0, 316, -240, 0, 1520, 390, 0, 0, -528, 0, 0, 0, 0, 0, 740, 0, 0, 0], "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, 3, 2, -1, 2, 0], [1, 1, 11, 4, -1, 10, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 33, 6, 1, 10, 0], [1, 1, 39, 4, -1, 2, 0], [1, 1, 143, 12, -1, 10, 0], [1, 1, 429, 25, 1, 10, 0]], "char_orbit_index": 25, "prim_orbit_index": 25, "minimal_twist": "429.2.y.b", "char_is_minimal": true, "conrey_index": 116, "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}