# Stored data for newform 950.2.h.a, downloaded from the LMFDB on 24 April 2024. {"label": "950.2.h.a", "space_label": "950.2.h", "level": 950, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 481069892534, "dim": 4, "is_polredabs": true, "nf_label": "4.0.125.1", "trace_hash": 1255112630601126456, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [16, -24, 16, -4, 1]]], "qexp_display": "q+(1-\\zeta_{10}+\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{2}+(2+\\cdots)q^{3}+\\cdots", "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 25, "char_orbit_label": "h", "char_is_real": false, "Nk2": 3800, "analytic_conductor": 7.585788192021637, "hecke_ring_index": 1, "level_radical": 190, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 10, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [950, 5, [77, 401], [1, 5]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 5, 19], "conrey_indexes": [191, 381, 571, 761], "field_disc": 125, "field_disc_factorization": [[5, 3]], "field_poly": [1, -1, 1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "4.073", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "48.399", "prec": 20}, {"__RealLiteral__": 0, "data": "3.481", "prec": 17}, {"__RealLiteral__": 0, "data": "998.944", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c5", "trace_display": [1, 4, 5, -12], "traces": [0, 4, 1, 4, -1, 5, -4, -12, 1, -13, 5, -2, -6, -6, -8, 20, -1, -2, -12, 1, 0, -12, 2, 14, -4, -5, 6, -20, -2, -10, 10, -2, -4, 8, -3, -10, -13, -7, -1, -6, 5, 8, 12, 4, -2, 5, 6, 18, -6, 28, 5, -12, -6, 9, 0, -10, 2, -4, 10, 10, 0, 8, -8, 64, -1, -15, 12, -2, -2, -16, -20, 28, -7, -6, -18, 20, -4, 16, 6, -20, 5, 19, 2, 4, 28, 5, -4, 0, 2, -25, -5, 18, -6, -32, -18, 5, -4, 8, 37, 24, -5, -2, -8, 34, -9, -80, -9, 28, 0, -10, 0, -32, 8, 19, -6, 30, 5, -3, 20, 6, 0, 7, 17, 18, -12, -25, 76, 28, 1, 4, 15, -22, 8, 2, 2, -60, -3, 18, -44, 10, -20, -52, -28, -12, 7, -30, -19, 28, -7, -30, 30, -32, -1, -6, 4, 20, -6, -2, 20, -6, -5, -72, 41, -6, 8, -20, -14, 8, 32, -23, 0, -7, -6, 49, 20, 40, 8, 40, -20, -10, -25, -22, 12, 18, -14, 20, -28, 6, -22, 120, 5, 8, 4, -26, -8, -30, 23, -57, 26, 20, 5, 8, -13, 10, -2, 5, -34, -128, 9, 2, -60, -2, -6, -72, 2, 10, 20, 16, -50, -26, -10, 3, -18, 34, 12, 60, 6, -32, -4, -45, 40, -24, -10, 19, 18, 80, 10, 40, 14, 20, -10, -17, -7, 44, -17, 5, 2, -9, -8, -56, 0, -32, 64, -12, 22, -10, -1, -42, -4, 46, 0, 5, 22, 14, 12, 30, 8, 10, 8, -15, -40, -2, -2, 48, 42, -10, -56, 33, 30, -26, -20, 13, -88, -26, -32, 0, 12, -34, 13, 13, 5, 28, 19, -6, -28, -20, 2, 0, 0, -36, 20, 8, -38, -2, 1, -10, 6, 68, -4, 4, 10, 8, 6, 34, 7, -50, 20, 18, -24, -20, -5, 28, -28, -3, 44, -30, -44, -70, 7, -44, 0, -12, -36, 34, -8, -10, 28, 38, -22, 44, 0, 16, 7, -120, 6, 100, 46, 38, 0, -10, 10, 0, 2, -26, 20, 120, 20, 56, 10, -10, -40, -1, -13, 42, 18, 20, 2, -12, -16, -11, -20, -12, -12, -6, 4, -50, -8, -15, 40, 40, -5, -12, 32, 44, 6, 40, -24, 12, 3, 20, 0, -22, -23, 88, 57, -80, 14, 38, 30, 32, 20, -42, 12, -12, -12, -85, -10, 36, 2, -5, -5, 78, -16, -60, -102, 50, 6, 40, 8, 0, -20, 58, -18, -126, 6, 15, -128, -14, -12, -12, 0, 48, 40, -31, 44, -30, -10, -14, -14, 40, -10, -241, -3, -36, 18, -35, -14, -30, 8, -110, 65, -4, 19, -32, 2, 0, 4, 48, 45, 40, 30, 93, -56, -36, 5, -20, -14, 8, 42, -4, 30, -2, 0, 8, 80, 5, 16, -18, 10, -10, -20, 33, -58, 88, 7, 10, 66, 8, -8, -56, 65, -42, -2, 10, 9, 10, -2, -64, -64, 60, -25, -32, -8, 64, 26, 10, 12, -88, -22, 45, -20, -2, 1, 20, -48, 100, 4, 36, 64, -6, -30, 33, -10, 4, 88, -60, 76, -14, 8, 67, 0, -40, 12, 18, 60, 40, 2, -60, -30, -74, -60, 53, 2, -52, 2, 65, 12, -42, 18, -46, 10, -10, -44, 40, 12, -60, -30, -2, 26, -6, -10, 16, 12, 4, -52, 10, -24, -82, -8, 0, -10, 38, 18, 48, -36, -30, 12, -2, -18, -26, 20, 28, 12, 18, 6, -60, -29, 18, -102, -8, 20, 78, -2, 14, 0, -30, 15, 20, -24, 60, 30, -2, 12, 14, -22, 0, 2, 148, -1, -20, 50, -12, 19, 29, 22, 50, -16, -37, -64, 20, -10, -80, 42, 110, 24, -25, -24, 12, 8, -9, 50, 48, 0, -32, 22, 40, -6, -42, -10, -176, 0, 58, -28, -76, 28, 0, -2, 78, 41, -40, 30, 176, -6, 44, -50, -110, -7, 22, 44, -80, 0, 58, 12, 18, -14, -20, 71, 0, -32, -96, -10, -34, 12, -21, 32, 0, 2, -62, 6, 6, -5, 68, 24, -46, 13, -45, -120, 70, 4, 9, 40, 8, -46, -152, -38, -30, -10, 1, 15, -56, -10, -142, 60, 2, -2, 80, 26, 56, -20, -20, 40, 100, 25, -72, 44, -30, -10, -20, -80, 20, -25, -32, 1, -92, 18, -50, 28, 18, 12, -13, -50, -2, -32, 14, -8, 260, -14, -4, -44, -50, -25, 6, 12, -76, 12, -45, -14, -68, 6, -64, 0, -12, -22, -32, -45, -10, -40, 18, -40, 88, -5, 58, -68, 90, 8, -50, 36, -30, 4, -70, 40, -42, -11, 14, 28, 40, 22, 156, 5, 7, -30, 56, -28, -60, -37, -10, 132, 8, 48, 104, -20, -82, -14, -102, -38, 30, 20, 73, 28, -44, 5, 210, -8, 38, 8, -160, 12, -120, 12, -25, -25, 38, -10, 68, 14, 60, 8, 6, -50, -36, 10, -42, 42, -46, 36, -60, -80, -42, -38, -55, 40, -42, -6, -14, 20, 40, 2, 120, -10, 40, 20, 49, -58, 48, 18, 20, -34, 14, -6, -96, 10, -92, -72, -41, -16, -40, 12, 8, 12, 0, -20, -104, 32, 24, 20, 55, -44, -62, 56, -40, 30, 18, 15, 59, -16, 100, 24, 18, 50, -6, 10, -2, -324, 4, 3, 80, -34, 48, 32, -124, -90, -82, 14, -8, 30, 0, 2, -36, -35, 0, 35, -12, -16, 8, 16, -5, 32, -132, -2, 69, 0, 38, 6, 28, 62, 30, 40, -44, 40, 0, 10, 68, 92, -12, -64, 90, -64, -8, 10, 50, -60, -23, -66, 68, -18, 0, 18, 43, -16, 44, -10, -7, 2, 68, 0, 280, 12, 28, 40, 114, 20, 88, 14, -56, 3, -40, -10, -40, 10, -114, -10, -13, 27, -66, -17, -15, 232, 18, 28, 2, -25, 38, 44, 0, 12, -30, 18, 48, -44, 40, 120, 85, -28, -56, -18, -210, 0, 296, 6, -16, 50, -122, 2, 48, 64, 0, -36, 18, 20, 200, -25], "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, 25, 4, 1, 5, 0]], "char_orbit_index": 8, "prim_orbit_index": 4, "minimal_twist": "950.2.h.a", "char_is_minimal": true, "conrey_index": 191, "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, -1, 1, -1], [2, -2, 0, -2], [0, 0, 0, -1], [0, 2, -1, 2], [0, -2, 0, -2], [-4, 0, -2, 2], [0, 0, -1, 0], [-4, -1, -4, 0], [2, -1, 2, 0], [-2, 2, -2, 2], [-2, 0, -2, 0], [-3, 3, -3, 0], [-4, 2, -2, 4], [6, 0, 2, -2], [0, -1, 0, 0], [0, -1, 0, -1], [-5, 0, -4, 4], [0, 0, -1, 0], [1, 0, 2, -2], [-8, 8, 0, 12], [0, 0, 0, 2], [6, -2, 2, -6], [-2, 0, -2, 2], [-5, 5, -5, 5], [0, 0, -3, 3], [-12, 8, -8, 12], [-2, 2, 0, 4], [-3, 3, 0, -1], [6, -4, 4, -6], [0, -2, -2, -2], [-1, 0, 0, 0], [0, 4, 0, 4], [-1, 0, -1, 0], [0, -6, -2, -6], [-5, 1, -1, 5], [-1, -4, -1, 0], [0, -1, 0, 0], [-6, 6, -6, 6], [1, 1, -1, -1], [3, -1, 3, 0], [0, 8, 4, 8], [0, 0, -2, 2], [0, 0, 2, 0], [6, -6, 0, -13], [4, -4, 0, -6], [8, -8, 0, -6], [-2, 0, 0, 2], [13, 0, 12, -12], [0, 0, 0, 5], [-4, 0, -2, 2], [0, -3, 3, 0], [3, -3, 0, 0], [-4, 4, 0, 12], [-4, 2, -4, 0], [0, 2, 2, 2], [-2, 0, -2, 2], [0, 3, -4, 3], [2, 4, 2, 0], [2, -2, 0, -6], [-2, 7, -7, 2], [-2, -2, -2, 0], [18, 10, 18, 0], [-1, 1, -1, 1], [-3, 3, 0, -6], [4, 0, 4, 0], [0, 0, 2, 0], [-1, 0, -1, 1], [0, -12, -8, -12], [-6, -2, -6, 0], [12, -12, 0, -8], [-4, 4, 0, 5], [4, -9, 9, -4], [-5, 0, -1, 1], [0, 10, 0, 10], [-1, 0, 0, 0], [8, -4, 4, -8], [0, 0, 0, 6], [-8, 8, 0, 4], [2, -2, 0, -1], [0, 12, 5, 12], [2, 0, 3, -3], [0, -2, -8, -2], [8, 4, 8, 0], [3, -2, 2, -3], [0, -2, 2, 0], [-2, 6, -2, 0], [0, 2, 0, 0], [-7, -2, 2, 7], [0, -6, -7, -6], [6, 0, 6, 0], [0, -4, -2, -4], [-12, 0, -8, 8], [0, -8, 2, -8], [1, 1, -1, -1], [-2, 2, 0, 2], [1, -1, 0, 5], [13, -1, 1, -13], [10, 0, 8, -8], [0, 0, 5, 0]]}