# Stored data for newform 165.2.r.a, downloaded from the LMFDB on 25 April 2024.
{"label": "165.2.r.a", "space_label": "165.2.r", "level": 165, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1168264659109, "dim": 80, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 165, "char_orbit_label": "r", "char_is_real": false, "Nk2": 660, "analytic_conductor": 1.3175316333511264, "level_radical": 165, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [165, 10, [56, 67, 46], [5, 5, 7]], "inner_twist_count": 8, "level_primes": [3, 5, 11], "conrey_indexes": [29, 74, 134, 149], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 20, "sato_tate_group": "1.2.3.c10", "trace_display": [0, 0, 0, 0], "traces": [80, 0, 0, 4, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, -2, -60, 0, 0, -20, 0, 0, 0, 0, -30, 6, 0, 0, 0, 0, 10, -20, 0, 0, -56, 0, 2, 0, 0, -50, 60, 0, 0, 0, 0, -92, -40, 0, 0, 72, 0, 30, 0, 0, 0, 4, 0, 0, 0, 0, 54, 0, 0, 0, 96, 0, -42, 0, 0, 30, -86, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -66, 0, 0, 140, -30, 0, 0, 0, 0, 120, 48, 0, 0, 60, 0, -70, 0, 0, 60, 172, 0, 0, 0, 0, 80, -100, 0, 0, 0, 0, 60, 0, 0, 116, -102, 0, 0, 0, 0, 0, 52, 0, 0, -136, 0, 214, 0, 0, 20, -164, 0, 0, 0, 0, -78, -4, 0, 0, -120, 0, 136, 0, 0, 16, -160, 0, 0, 0, 0, -220, 140, 0, 0, -128, 0, -10, 0, 0, -202, -50, 0, 0, 0, 0, -100, -80, 0, 0, -8, 0, -60, 0, 0, -106, 0, 0, 0, 0, 0, 10, -144, 0, 0, -300, 0, 0, 0, 0, -200, 234, 0, 0, 0, 0, 60, -56, 0, 0, 56, 0, -94, 0, 0, -330, 280, 0, 0, 0, 0, -100, 20, 0, 0, 472, 0, 60, 0, 0, 0, 64, 0, 0, 0, 0, 146, 220, 0, 0, 136, 0, -136, 0, 0, 186, 78, 0, 0, 0, 0, 196, 0, 0, 0, 400, 0, -190, 0, 0, 300, 90, 0, 0, 0, 0, 300, 52, 0, 0, 40, 0, -180, 0, 0, 398, 208, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 32, 0, 0, 154, -334, 0, 0, 0, 0, 0, 148, 0, 0, -280, 0, 150, 0, 0, 150, -96, 0, 0, 0, 0, -250, 76, 0, 0, -520, 0, -84, 0, 0, -80, -290, 0, 0, 0, 0, -300, 460, 0, 0, -88, 0, 20, 0, 0, -654, -220, 0, 0, 0, 0, -334, -272, 0, 0, -40, 0, 150, 0, 0, -252, 0, 0, 0, 0, 0, -18, -444, 0, 0, -80, 0, 0, 0, 0, -610, 218, 0, 0, 0, 0, -130, -392, 0, 0, -112, 0, -6, 0, 0, 20, 230, 0, 0, 0, 0, -200, -40, 0, 0, 376, 0, -50, 0, 0, 0, 316, 0, 0, 0, 0, 270, -320, 0, 0, 524, 0, -150, 0, 0, 426, -78, 0, 0, 0, 0, 24, 0, 0, 0, 440, 0, -14, 0, 0, 440, -60, 0, 0, 0, 0, 370, 192, 0, 0, 280, 0, -60, 0, 0, 446, -116, 0, 0, 0, 0, 250, 260, 0, 0, 0, 0, 296, 0, 0, 194, -198, 0, 0, 0, 0, 0, 104, 0, 0, -560, 0, 372, 0, 0, 380, -190, 0, 0, 0, 0, -74, 408, 0, 0, -280, 0, 314, 0, 0, 292, -550, 0, 0, 0, 0, -500, 80, 0, 0, -864, 0, 320, 0, 0, -640, -240, 0, 0, 0, 0, -50, -208, 0, 0, -156, 0, 120, 0, 0, -416, 0, 0, 0, 0, 0, -6, -108, 0, 0, -200, 0, 0, 0, 0, -280, 164, 0, 0, 0, 0, 150, 436, 0, 0, -512, 0, -304, 0, 0, -310, 400, 0, 0, 0, 0, -24, -140, 0, 0, 1056, 0, -520, 0, 0, 0, 322, 0, 0, 0, 0, 352, -60, 0, 0, 184, 0, -246, 0, 0, 406, -48, 0, 0, 0, 0, 406, 0, 0, 0, 840, 0, -70, 0, 0, 320, 420, 0, 0, 0, 0, 420, -104, 0, 0, 440, 0, -200, 0, 0, 480, 320, 0, 0, 0, 0, 300, -140, 0, 0, 0, 0, -224, 0, 0, -82, -350, 0, 0, 0, 0, 0, 120, 0, 0, -256, 0, -42, 0, 0, 210, -98, 0, 0, 0, 0, -524, -56, 0, 0, -740, 0, -146, 0, 0, 132, -40, 0, 0, 0, 0, -480, -840, 0, 0, -500, 0, 270, 0, 0, -822, 30, 0, 0, 0, 0, -312, 280, 0, 0, -332, 0, 140, 0, 0, -488, 0, 0, 0, 0, 0, -252, -240, 0, 0, -260, 0, 0, 0, 0, -890, 96, 0, 0, 0, 0, -310, -412, 0, 0, -288, 0, 108, 0, 0, -490, 800, 0, 0, 0, 0, -320, -460, 0, 0, 620, 0, -100, 0, 0, 0, -66, 0, 0, 0, 0, 638, -100, 0, 0, 384, 0, 74, 0, 0, 470, 364, 0, 0, 0, 0, 28, 0, 0, 0, 340, 0, -76, 0, 0, 830, -200, 0, 0, 0, 0, 240, 492, 0, 0, 480, 0, -80, 0, 0, 104, 44, 0, 0, 0, 0, 60, 960, 0, 0, 0, 0, 168, 0, 0, 38, -518, 0, 0, 0, 0, 0, 640, 0, 0, -364, 0, 420, 0, 0, 170, -452, 0, 0, 0, 0, -144, 156, 0, 0, -500, 0, 586, 0, 0, 1076, -630, 0, 0, 0, 0, -150, 800, 0, 0, -240, 0, 110, 0, 0, -566, -1050, 0, 0, 0, 0, -312, 672, 0, 0, 92, 0, 220, 0, 0, -394, 0, 0, 0, 0, 0, -24, -72, 0, 0, 560, 0, 0, 0, 0, -700, 542, 0, 0, 0, 0, -70, -420, 0, 0, -160, 0, -534, 0, 0, -270, 170, 0, 0, 0, 0, 84, 380, 0, 0, 556, 0, -460, 0, 0, 0, 766, 0, 0, 0, 0, 432, -700, 0, 0, 820, 0, -274, 0, 0, 438, 240, 0, 0, 0, 0, 530, 0, 0, 0, 680, 0, 58, 0, 0, 670, 130, 0, 0, 0, 0, 350, 128, 0, 0, 440, 0, -240, 0, 0, 440, 276, 0, 0, 0, 0, 250, 260, 0, 0, 0, 0, -904, 0, 0, 302, -508, 0, 0, 0, 0, 0, -432, 0, 0, -452, 0, 74, 0, 0, -80, 62, 0, 0, 0, 0, -336, -32, 0, 0, -1060, 0, -354, 0, 0, 172, -650, 0, 0, 0, 0, -380, -440, 0, 0, -328, 0, 190, 0, 0, -1156, -30, 0, 0, 0, 0, -246, -376, 0, 0, -844, 0, 170, 0, 0, -494, 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, 5, 2, 1, 2, 0], [1, 1, 11, 4, -1, 10, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 33, 6, 1, 10, 0], [1, 1, 55, 8, -1, 10, 0], [1, 1, 165, 18, 1, 10, 0]], "char_orbit_index": 18, "prim_orbit_index": 18, "minimal_twist": "165.2.r.a", "char_is_minimal": true, "conrey_index": 29, "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}