# Stored data for newform 2550.2.c.m, downloaded from the LMFDB on 04 May 2024. {"label": "2550.2.c.m", "space_label": "2550.2.c", "level": 2550, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043333000956406, "dim": 4, "is_polredabs": true, "nf_label": "4.0.2304.2", "trace_hash": 2172267804981762135, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [4, 0, 20, 0, 1]], [11, [24, 0, 1]], [13, [2, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}+(2\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 17, "char_orbit_label": "c", "char_is_real": true, "Nk2": 10200, "analytic_conductor": 20.3618525154265, "hecke_ring_index": 2, "level_radical": 510, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.521", "prec": 17}, "analytic_rank_proved": true, "char_values": [2550, 2, [851, 1327, 751], [2, 2, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 5, 17], "conrey_indexes": [1801], "field_disc": 2304, "field_disc_factorization": [[2, 8], [3, 2]], "field_poly": [9, 0, 0, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.646", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "67.957", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1793.779", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c2", "trace_display": [-4, 0, 0, 0], "traces": [0, 4, -4, 0, 4, 0, 0, 0, -4, -4, 0, 0, 0, -8, 0, 0, 4, -4, 4, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 4, 0, -4, 0, -8, 0, 0, 0, -8, -24, 0, 0, 0, -32, 0, -12, 0, 16, -8, -8, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 4, 0, 0, -16, -4, -8, 0, 0, 4, 0, 0, 0, 8, -48, 0, 0, 0, 4, 0, -24, 8, 0, 24, -24, 0, 16, 0, 0, 0, 8, 32, 0, 0, 0, 12, 0, 0, -8, -16, 16, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 16, -32, 0, -52, 0, -16, 0, 0, 0, -32, -4, 0, 0, 0, 0, 0, 16, 0, 4, -16, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -8, 0, 16, -8, 4, 48, 0, 0, 24, 0, 0, 0, -8, -4, 0, 0, 0, 24, 0, -8, -36, 0, -8, -24, 0, 24, 0, 0, 0, -16, -8, 0, 0, 0, 8, 0, 0, -8, 0, -32, -8, 0, -48, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 8, 72, 16, 0, -16, 0, -8, 0, 0, 0, -8, -40, 0, 0, 0, -88, 0, 16, 0, 8, -8, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, -8, 0, -16, 8, 32, -48, 0, 0, 52, 0, 0, 0, 16, -16, 0, 0, 0, 40, 0, -48, 32, 0, 4, 0, 0, 8, 0, 0, 0, -48, 0, 0, 0, 0, -16, 0, 0, 16, -4, -16, 16, 0, -8, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 80, 4, -60, 0, -32, 0, 40, 0, 0, 0, 0, 8, 0, 0, 0, -16, 0, 8, 0, -4, 8, -48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 48, 0, 0, 8, -8, 4, 0, 0, 24, 0, 0, 0, 16, -24, 0, 0, 0, 8, 0, 36, -48, 0, -144, 8, 0, 24, 0, 0, 0, -24, -40, 0, 0, 0, 56, 0, 0, 16, -8, 8, 0, 0, -60, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 56, 0, 0, 32, 0, 8, 0, 0, 0, 48, -80, 0, 0, 0, 24, 0, -8, 0, 32, 12, -32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, -8, 0, -72, 48, -16, -32, 0, 0, 16, 0, 0, 0, 8, 32, 0, 0, 0, 8, 0, 32, 8, 0, 40, 56, 0, 0, 0, 0, 0, 24, 88, 0, 0, 0, -16, 0, 0, 12, -8, -16, 8, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 120, 72, -16, 0, -40, 0, 16, 0, 0, 0, -48, 8, 0, 0, 0, 16, 0, -8, 0, -32, 8, 48, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 16, 0, 72, -16, 96, 16, 0, 0, 104, 0, 0, 0, -24, -40, 0, 0, 0, 48, 0, -32, -88, 0, 16, -4, 0, 0, 0, 0, 0, -8, 56, 0, 0, 0, 80, 0, 0, 48, -32, 0, 52, 0, 16, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 88, 4, 0, 16, 0, -16, 0, 0, 0, 8, 8, 0, 0, 0, 72, 0, 48, 0, 0, 80, 24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, -80, 0, -4, 32, 60, 32, 0, 0, 32, 0, 0, 0, -40, 144, 0, 0, 0, -8, 0, 0, 0, 0, -8, 8, 0, 16, 0, 0, 0, 16, 16, 0, 0, 0, -8, 0, 0, 64, 4, -136, -8, 0, 48, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 24, -32, 0, 32, 0, 64, 0, 0, 0, 24, -48, 0, 0, 0, 0, 0, -8, 0, 8, 16, -4, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -16, 0, -56, -16, -32, 24, 0, 0, -24, 0, 0, 0, 144, -8, 0, 0, 0, -36, 0, 48, 64, 0, 48, 144, 0, -8, 0, 0, 0, -24, 16, 0, 0, 0, 48, 0, 0, 24, 64, 40, -48, 0, -24, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -16, -56, 8, 0, -8, 0, 0, 0, 0, 0, 60, 16, 0, 0, 0, 0, 0, -4, 0, 24, 8, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, -8, 0, -56, 24, 0, -144, 0, 0, -32, 0, 0, 0, -8, -40, 0, 0, 0, -56, 0, -120, -48, 0, 80, 32, 0, 136, 0, 0, 0, 104, -24, 0, 0, 0, 8, 0, 0, 48, -32, 24, -12, 0, 32, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 8, -16, 32, 0, -16, 0, 96, 0, 0, 0, -40, 8, 0, 0, 0, 72, 0, -48, 0, 16, -48, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 8, 0, -24, -8, 12, -32, 0, 0, -8, 0, 0, 0, -52, -8, 0, 0, 0, -32, 0, -8, 0, 0, 40, -40, 0, -56, 0, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, -24, -32, -88, 48, 0, 32, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -12, -80, 8, 0, 16, 0, -8, 0, 0, 0, 0, -64, 0, 0, 0, 16, 0, 120, 0, 8, -96, -48, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -120, 0, -72, 16, 16, 96, 0, 0, 40, 0, 0, 0, -16, -16, 0, 0, 0, -24, 0, -40, 48, 0, -8, 136, 0, 32, 0, 0, 0, 16, -16, 0, 0, 0, 8, 0, 0, 24, 32, -56, -8, 0, -48, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -176, 52, 32, 0, 48, 0, -16, 0, 0, 0, -176, -16, 0, 0, 0, -72, 0, 16, 0, -96, -64, -16, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, -8, 0, 96, 24, 16, 40, 0, 0, -16, 0, 0, 0, 16, -48, 0, 0, 0, 32, 0, 88, 144, 0, -24, -16, 0, 4, 0, 0, 0, 0, -64, 0, 0, 0, -56, 0, 0, 8, -32, -56, -64, 0, 16, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -48, -8, 32, 0, 0, 0, -52, 0, 0, 0, -16, -128, 0, 0, 0, 0, 0, -88, 0, 32, -16, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 16, 0, -88, -128, -4, 52, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, -88, 0, 64, -8, 0, -8, 16, 0, -8, 0, 0, 0, -112, -72, 0, 0, 0, -48, 0, 0, -32, 0, 40, -80, 0, -24, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 16, -120, 16, 0, -128, 0, 32, 0, 0, 0, 56, 80, 0, 0, 0, 4, 0, -32, 0, -60, -32, -32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 168, 0, 136, 40, 8, -144, 0, 0, -288, 0, 0, 0, -120, 8, 0, 0, 0, 0, 0, 0, -144, 0, 24, 8, 0, -8, 0, 0, 0, -16, -144, 0, 0, 0, -16, 0, 0, -16, 160, -16, -16, 0, -184, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -64, 48, -4, 0, 136, 0, 8, 0, 0, 0, -48, 16, 0, 0, 0, -88, 0, 64, 0, -64, -8, 96, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, -24, 48, 32, -16, 0, 0, -32, 0, 0, 0, -64, -152, 0, 0, 0, 176, 0, -32, -24, 0, 48, -168, 0, -176, 0, 0, 0, -48, 0, 0, 0, 0, 8, 0, 0, -176, -8, 24, -16, 0, 4, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -144, 24, 48, 0, -16, 0, 16, 0, 0, 0, -72, 16, 0, 0, 0, 56, 0, 16, 0, 32, -80, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, -32, 0, 8, -144, -32, 8, 0, 0, 80, 0, 0, 0, 32, 36, 0, 0, 0, -48, 0, -64, -16, 0, -168, -48, 0, -144, 0, 0, 0, 8, 108, 0, 0, 0, -24, 0, 0, 24, -4, -16, 136, 0, 88, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -24, -88, -64, 0, -40, 0, 48, 0, 0, 0, 24, 88, 0, 0, 0, 64, 0, -32, 0, 24, 56, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 56, -80, -8, 8, 0, 0, 8, 0, 0, 0, 0, 72, 0, 0, 0, -96, 0, -16, -60, 0, -16, 160, 0, 8, 0, 0, 0, 88, 0, 0, 0, 0, 4, 0, 0, -136, -24, -96, -8, 0, -24, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -176, -72, 24, 0, 240, 0, -16, 0, 0, 0, 48, 8, 0, 0, 0, 56, 0, -24, 0, 0, 0, 144, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, -24, 0, 128, 8, -16, 40, 0, 0, -16, 0, 0, 0, 36, 56, 0, 0, 0, 120, 0, 48, 96, 0, 80, -80, 0, -32, 0, 0, 0, -136, 8, 0, 0, 0, -16, 0, 0, -104, 64, 24, -56, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -48, -16, 32, 0, -24, 0, 12, 0, 0, 0, -32, 104, 0, 0, 0, -48, 0, 48, 0, -8, -144, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 16, -24, -32, 32, 0, 0, 16, 0, 0, 0, -96, 96, 0, 0, 0, 8, 0, -8, 40, 0, -8, -192, 0, 72, 0, 0, 0, 56, -72, 0, 0, 0, 48, 0, 0, -48, -16, -56, 48, 0, -32, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, 16, 128, 0, 64, 0, -48, 0, 0, 0, 144, -8, 0, 0, 0, 24, 0, 8, 0, -12, -168, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 80, 0, 4, 52, 0, 8, 0, 0, -176, 0, 0, 0, 32, 32, 0, 0, 0, 8, 0, 0, -72, 0, 8, -40, 0, 40, 0, 0, 0, 56, -168, 0, 0, 0, -80, 0, 0, 0, 8, -16, 48, 0, 240, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, -184, 32, 0, 88, 0, -48, 0, 0, 0, -32, -48, 0, 0, 0, 8, 0, -192, 0, -16, -16, 288, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 12, 0, 80, 16, -8, -24, 0, 0, -16, 0, 0, 0, 8, -88, 0, 0, 0, 32, 0, 32, 0, 0, 64, -40, 0, -72, 0, 0, 0, -192, -16, 0, 0, 0, -120, 0, 0, 48, -8, 0, 96, 0, 48, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 40, -8, 0, 0, -104, 0, 160, 0, 0, 0, -72, 120, 0, 0, 0, 72, 0, -16, 0, -16, 240, -96, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, -28, 0, -48, 16, -96, 16, 0, 0, 16, 0, 0, 0, -8, 24, 0, 0, 0, 40, 0, -48, 32, 0, -128, 8, 0, -136, 0, 0, 0, -32, 32, 0, 0, 0, -40, 0, 0, -16, -8, 16, 16, 0, 200, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -24, -144, -32, 0, 56, 0, 8, 0, 0, 0, 48, 96, 0, 0, 0, 40, 0, -16, 0, 192, 108, -16, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 176, 0, -52, 16, -32, 168, 0, 0, -48, 0, 0, 0, 16, 192, 0, 0, 0, -160, 0, 88, 176, 0, 16, 32, 0, -24, 0, 0, 0, -32, 72, 0, 0, 0, -16, 0, 0, -16, 96, 216, 64, 0, 16, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 104, 104, -8, 0, 48, 0, -40, 0, 0, 0, 136, 8, 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": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 0]], "char_orbit_index": 3, "prim_orbit_index": 2, "minimal_twist": "510.2.f.a", "char_is_minimal": true, "conrey_index": 1801, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 2, -1, 0], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, -1, 0, 0], [-2, 0, 0, 0], [0, -2, 1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [-1, 4, 0, 0], [1, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, -1], [0, 0, 2, 0], [0, -2, -1, 0], [0, 1, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 1, 0, 0], [0, 2, -1, 0], [0, -6, 1, 0], [0, 0, 0, 0], [0, 2, -3, 0], [-1, 0, 0, 0], [0, 0, 0, -2], [1, -4, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 2, 1, 0], [-2, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, -4, 2, 0], [-2, 0, 0, 1], [-6, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 2, 1, 0], [-8, 0, 0, 0], [0, -1, 0, 0], [-3, 0, 0, 4], [0, 0, 0, 0], [4, 1, 0, 0], [-2, 0, 0, 0], [-2, 0, 0, 4], [0, -1, 0, 0], [0, 0, 0, 0], [0, -2, 1, 0], [0, -2, 0, 0], [0, 6, -1, 0], [-4, 0, 0, -4], [0, 0, 0, 0], [0, 2, 3, 0], [0, -2, 3, 0], [0, -2, 1, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [-4, 0, 0, -4], [-1, 4, 0, 0], [-2, 0, 0, -1], [0, 0, 0, 0], [0, -10, 1, 0], [1, 0, 0, 0], [0, 4, 2, 0], [0, -2, -1, 0], [0, 0, 0, 0], [2, 0, 0, 0], [-12, 0, 0, 4], [0, -2, 0, 0], [0, 2, 1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 4, -2, 0], [-6, 0, 0, 0], [2, 0, 0, -1], [0, 0, 0, 0], [6, 0, 0, 0], [-6, 0, 0, 1], [0, 0, 2, 0], [4, 0, 0, 0], [0, 0, 0, 0], [0, -4, 2, 0], [0, -2, -1, 0], [2, 0, 0, -3], [8, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, -8, 0, 0], [3, 0, 0, -4], [0, 0, 2, 0], [0, 0, 0, 0]]}