# Stored data for newform 2646.2.h.j, downloaded from the LMFDB on 16 April 2024.
{"label": "2646.2.h.j", "space_label": "2646.2.h", "level": 2646, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532877716228694, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 226292184339819648, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-1, 1]], [11, [-2, 1]], [13, [4, -2, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+q^{5}-q^{8}+(1+\\cdots)q^{10}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "h", "char_is_real": false, "Nk2": 10584, "analytic_conductor": 21.12841637483079, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [2646, 3, [785, 1081], [1, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [361, 667], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "1.913", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.823", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "92.334", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, 0, 2, 0], "traces": [0, 2, 1, 0, -1, 2, 0, 0, -2, 0, 1, 4, 0, 2, 0, 0, -1, 0, 0, -7, -1, 0, 2, -6, 0, -8, -2, 0, 0, -8, 0, 4, 1, 0, 0, 0, 0, 6, -14, 0, -2, 12, 0, 8, -2, 0, -3, 8, 0, 0, -4, 0, -4, 4, 0, 4, 0, 0, -16, -4, 0, 13, 8, 0, 2, 2, 0, 2, 0, 0, 0, 10, 0, -14, 12, 0, -7, 0, 0, 11, -1, 0, -12, -12, 0, 0, 16, 0, -4, -14, 0, 0, 3, 0, -8, -7, 0, -2, 0, 0, 4, -22, 0, -16, -2, 0, -4, 8, 0, -4, 2, 0, 0, -1, 0, -6, -8, 0, -8, 0, 0, -14, -13, 0, 4, -18, 0, -38, 1, 0, -2, 30, 0, 0, 4, 0, 0, 4, 0, 9, 0, 0, 5, 4, 0, -8, 14, 0, 6, -20, 0, 38, 7, 0, 0, 4, 0, 11, -11, 0, 1, 0, 0, 6, -24, 0, -24, -2, 0, 9, 0, 0, 8, 22, 0, 0, -2, 0, -28, -24, 0, -14, 0, 0, 6, 6, 0, 0, -16, 0, -14, 3, 0, -5, -4, 0, 0, 24, 0, -14, 8, 0, -11, 0, 0, 12, -8, 0, 2, -14, 0, 22, -8, 0, 16, 8, 0, 0, 4, 0, -2, 0, 0, -2, 0, 0, 1, 34, 0, 26, -3, 0, 8, 1, 0, 8, -4, 0, 0, -15, 0, -20, -7, 0, -26, 0, 0, -28, -4, 0, -9, 14, 0, -12, -19, 0, -1, 16, 0, 0, -4, 0, 15, -38, 0, 4, 0, 0, 2, -7, 0, 14, 0, 0, 2, -16, 0, -4, -9, 0, 0, -15, 0, 25, -5, 0, -4, 0, 0, 17, -16, 0, 28, -9, 0, -4, -6, 0, -10, -6, 0, 0, 19, 0, 14, 13, 0, -14, 0, 0, 8, 10, 0, 6, 22, 0, -22, 24, 0, -16, 2, 0, 0, 0, 0, -8, 12, 0, -12, 0, 0, 4, -12, 0, 2, 2, 0, 22, 18, 0, 0, 8, 0, 0, -8, 0, -22, 12, 0, -30, 0, 0, 2, 48, 0, 10, -14, 0, 24, 29, 0, -30, -7, 0, 0, -14, 0, 64, 3, 0, 12, 0, 0, -64, 0, 0, -8, -32, 0, -24, -7, 0, -3, -12, 0, 0, -10, 0, -2, 60, 0, 0, 0, 0, 12, 11, 0, 14, 14, 0, 4, -6, 0, 16, 11, 0, 0, 12, 0, -24, -12, 0, 8, 0, 0, -12, 4, 0, -28, 5, 0, 36, -22, 0, -4, 0, 0, 0, 8, 0, 16, 32, 0, 56, 0, 0, 8, 21, 0, -36, -4, 0, 0, 24, 0, -14, -4, 0, 0, -18, 0, 24, 2, 0, 17, 0, 0, -17, 13, 0, 3, 9, 0, 1, 16, 0, 2, 28, 0, 0, -8, 0, 4, 16, 0, 28, 0, 0, 15, 48, 0, 24, -10, 0, 7, -2, 0, -25, -13, 0, 0, 6, 0, 0, -14, 0, -8, 0, 0, 48, 9, 0, 7, 28, 0, -22, -6, 0, 19, -68, 0, 0, -2, 0, 8, -16, 0, 16, 0, 0, -2, -14, 0, 35, -15, 0, -19, 0, 0, -28, -4, 0, 0, -24, 0, 8, -2, 0, 7, 0, 0, 20, 28, 0, 0, -4, 0, 8, -2, 0, -8, -56, 0, 0, -2, 0, -18, 18, 0, 32, 0, 0, -30, -11, 0, -1, 50, 0, -10, -18, 0, -12, -8, 0, 0, 24, 0, 28, 34, 0, -8, 0, 0, 8, 14, 0, 9, 23, 0, 28, -8, 0, -12, -42, 0, 0, 10, 0, 6, 12, 0, 26, 0, 0, -19, -14, 0, 12, 7, 0, -13, -16, 0, 10, -7, 0, 0, -22, 0, 22, 4, 0, 20, 0, 0, 22, -6, 0, 11, 0, 0, 18, -11, 0, -24, -38, 0, 0, -32, 0, 1, -94, 0, -12, 0, 0, 0, 42, 0, -8, 8, 0, 6, 64, 0, 30, 12, 0, 0, 20, 0, -31, -4, 0, 12, 0, 0, 24, 4, 0, 4, 26, 0, 1, -22, 0, 9, -6, 0, 0, 0, 0, 16, -10, 0, 4, 0, 0, -16, -8, 0, -29, -44, 0, 24, 9, 0, 0, -60, 0, 0, -4, 0, 42, 4, 0, 24, 0, 0, 32, 5, 0, 14, -12, 0, 4, 48, 0, 58, 0, 0, 0, 30, 0, 7, 32, 0, 26, 0, 0, 14, 0, 0, -2, 32, 0, -3, 4, 0, 38, 6, 0, 0, 48, 0, -20, -32, 0, 0, 0, 0, -78, 8, 0, -16, 38, 0, -52, -12, 0, 7, -40, 0, 0, -6, 0, -6, -16, 0, 2, 0, 0, -5, -21, 0, -16, 2, 0, 30, -168, 0, 20, 0, 0, 0, 11, 0, 4, -12, 0, -11, 0, 0, -26, 28, 0, 28, -51, 0, 0, -4, 0, -3, -28, 0, 0, 8, 0, 22, 18, 0, 56, 0, 0, 24, 6, 0, 56, -48, 0, -24, -32, 0, 44, 16, 0, 0, -60, 0, -14, -24, 0, 2, 0, 0, -2, -14, 0, -5, 30, 0, -35, 72, 0, -44, 9, 0, 0, 4, 0, 0, -18, 0, -37, 0, 0, -8, -36, 0, -72, 8, 0, -32, 57, 0, 22, 28, 0, 0, 22, 0, 8, 4, 0, 42, 0, 0, 48, 36, 0, -2, 56, 0, -52, 0, 0, -24, 72, 0, 0, -28, 0, -2, -112, 0, -24, 0, 0, -9, 32, 0, 0, -24, 0, 1, -14, 0, -4, -17, 0, 0, -1, 0, -24, 17, 0, -13, 0, 0, -15, 6, 0, 18, 10, 0, -24, -1, 0, 8, -6, 0, 0, 1, 0, 56, 0, 0, 0, 0, 0, -16, 3, 0, -36, 8, 0, 32, 10, 0, 28, 56, 0, 0, 108, 0, 3, 30, 0, 24, 0, 0, 15, 12, 0, 10, -5, 0, -13, 14, 0, -4, 35, 0, 0, 25, 0, 13, -2, 0, -28, 0, 0, -6, -64, 0, 24, 0, 0, 14, -24, 0, -32, -4, 0, 0, -14, 0, -34, 24, 0, 18, 0, 0, 0, -7, 0, 14, -56, 0, 116, -11, 0, 6, 30, 0, 0, 38, 0, -34, -24, 0, -33, 0, 0, -1, -48, 0, -22, -8, 0, -8, 78, 0, 66, -16, 0, 0, 0, 0, 4, 2, 0, 14, 0, 0, -14, 70, 0, -30, 40, 0, -20, 19, 0, 0, 22, 0, 0, -14, 0, -8, 18, 0, -112, 0, 0, -48, -4, 0, 13, 16, 0, -4, 48, 0, -32, 14, 0, 0, -48, 0, -24, 40, 0, 14, 0, 0, -3, 0, 0, 4, 16, 0, -48, 16, 0, -4, -42, 0, 0, 8, 0, 56, 19, 0, 0, 0, 0, 2, -92, 0, -44, -9, 0, -18, -2, 0, 10, 16, 0, 0, -28, 0, -6, -15, 0, -22, 0, 0, 62, 1, 0, 25, -32, 0, 34, -5, 0, 18, 0, 0, 0, -24, 0, -4, 26, 0, -24, 0, 0, 12, -14, 0, -28, -28, 0, 17, -56, 0, -182, 8, 0, 0, -22, 0, 1, -8, 0, -14, 0, 0, 34, 18, 0, 46, -32, 0, 16, -28, 0, -4, 57, 0, 0, -6, 0, -84, 32, 0, -192, 0, 0, 20, -46, 0, -15, 12, 0, 24, -8, 0, 23, 52, 0, 0, -20, 0, 0, -38, 0, -7, 0, 0, -52, 6, 0, -7, 2, 0, -12, -26, 0, -32, 42, 0, 0, -10, 0, 7, 40, 0, 26, 0, 0, 22, -28, 0, 110, 11, 0, -4, 0, 0, -2, 10, 0, 0, 64, 0, -76, 11, 0, -12, 0, 0, 14, -11, 0, 0, -42, 0, -8, 9, 0, 11, -12, 0, 0, -48, 0, -19, 96, 0, 14, 0, 0, -16, -21, 0, -14, -1, 0, -47, -48, 0, 16, 12, 0, 0, -22, 0, -31, 0, 0, -42, 0, 0, -15, -16, 0, 16, -30, 0, 8, -6, 0, 32, 57, 0, 0, 15, 0, 24, -22, 0, -38, 0, 0, 40, -46, 0, 20, -62, 0, -8, -16, 0, 23, 24, 0, 0, -72, 0, -32, 48, 0, 2, 0, 0, -16, 2, 0, -26, 0, 0, -7, 2, 0, -44, -35, 0, 0, -9, 0, 6, 14, 0, 12, 0, 0, 0, -120, 0, -128, 8, 0, 10, -48, 0, 1, 2, 0, 0, -50, 0, -36, -8, 0, -16, 0, 0, 20, 29, 0, -22, -4, 0, 196, 12, 0, -9, 32, 0, 0, 0, 0, -30, -76, 0, 30, 0, 0, -2, -39, 0, -15, -42, 0, 2, 78, 0, 0, -24, 0, 0, 25, 0, 8, -32, 0, -5, 0, 0, -8, 28, 0, -24, -72, 0, -62, -4, 0, 24, 8, 0, 0, 29, 0, 0, 53, 0, 60, 0, 0, 60, 17, 0, 48, 14, 0, 64, 66, 0, -54, 52, 0, 0, 64, 0, -35, 28, 0, 0, 0, 0, -9, -1, 0, -32, 2, 0, -13, -6, 0, 8, 16, 0, 0, -38, 0, -6, -2, 0, -9, 0, 0, -48, 20, 0, -128, -10, 0, 32, 50, 0, -6, 0, 0, 0, -22, 0, -154, -39, 0, 16, 0, 0, 8, 16, 0, 19, 56, 0, 0, -26, 0, 12, 144, 0, 0, 14, 0, -20, 116, 0, -52, 0, 0, -3, 18, 0, 28, 6, 0, -8, -14, 0, -64, -2, 0, 0, -6, 0, -10, 5, 0, 21, 0, 0, -50, -32, 0, 4, 54, 0, 10, -30, 0, -84, -6, 0, 0, 10, 0, 0, 6, 0, 28, 0, 0, 22, -39, 0, -14, 8, 0, -24, -84, 0, 2, -22, 0, 0, -46, 0, 24, -52, 0, 14, 0, 0, -48, 14, 0, 51, -16, 0, 36, 0, 0, -8, -28, 0, 0, 3, 0, 28, -51, 0, -44, 0, 0, -8, -36, 0, 0, 11, 0, -18, 22, 0, 10, 28, 0, 0, -18, 0, 106, 12, 0, 12, 0, 0, -30, -56, 0, -24, -126, 0, -40, -12, 0, 32, 32, 0, 0, 88, 0, 8, 0, 0, -38, 0, 0, -30, 4, 0, -70, 14, 0, -12, 76, 0, -32, -2, 0, 0, -22, 0, -10, 2, 0, 14, 0, 0, -8, -10, 0, 60, 42, 0, -103, 35, 0, 36, 22, 0, 0, -22, 0, 18, -98, 0, -42, 0, 0, 8, -18, 0, 20, 0, 0, -36, 30, 0, 8, -74, 0, 0, 108, 0, -32, -16, 0, -18, 0, 0, 0, -36, 0, -8, -12, 0, -20, -64, 0, 114, 22, 0, 0, -22, 0, -28, -58, 0, 12, 0, 0, -22, 96, 0, 12, 4, 0, -4, -30, 0, 38, 21, 0, 0, 0, 0, 92, 24, 0, 72, 0, 0, 104, 2, 0, 28, 192, 0, 48, -26, 0, 0, -208, 0, 0, -48, 0, 36, -40, 0, 2, 0, 0, -14, 4, 0, -28, 2, 0, -56, 64, 0, 80, 24, 0, 0, 12, 0, 29, 9, 0, -32, 0, 0, -22, 0, 0, -48, -30, 0, -18, -1, 0, -7, -69, 0, 0, -2, 0, -34, -33, 0, 0, 0, 0, -2, -32, 0, 56, -48, 0, 34, 16, 0, 16, -26, 0, 0, 64, 0, -4, -30, 0, 3, 0, 0, -14, 9, 0, -10, -26, 0, -21, -48, 0, -2, 0, 0, 0, -8, 0, 6, 18, 0, 5, 0, 0, -1, -64, 0, 82, 28, 0, 0, 57, 0, 31, 0, 0, 0, -36, 0, -20, -8, 0, 6, 0, 0, -32, 36, 0, 4, 84, 0, 104, 16, 0, -10, -24, 0, 0, 56, 0, 28, 60, 0, 44, 0, 0, 54, -7, 0, 36, -3, 0, 15, -90, 0, -12, -24, 0, 0, 77, 0, 0, -15, 0, -12, 0, 0, -96, 20, 0, -10, 68, 0, -6, 13, 0, 7, -20, 0, 0, -2, 0, 70, 16, 0, 60, 0, 0, 50, 73, 0, -50, 26, 0, -4, 0, 0, 56, -56, 0, 0, 48, 0, 38, -12, 0, -32, 0, 0, -48, 12, 0, 0, -19, 0, -44, 28, 0, -48, -84, 0, 0, 32, 0, 4, 14, 0, 40, 0, 0, 14, -28, 0, 40, -17, 0, -24, -6, 0, 17, 9], "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, 63, 7, 1, 3, 0]], "char_orbit_index": 8, "prim_orbit_index": 7, "minimal_twist": "882.2.f.b", "char_is_minimal": false, "conrey_index": 361, "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], [1, 0], [1, -1], [0, 0], [0, -1], [1, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [1, -1], [2, 0], [0, 0], [2, -2], [0, 0], [0, 0], [-1, 1], [0, 0], [0, 0], [0, -7], [0, -1], [0, 0], [2, -2], [-3, 0], [0, 0], [-4, 0], [0, -2], [0, 0], [0, 0], [0, -8], [0, 0], [0, 4], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 6], [-7, 0], [0, 0], [-1, 0], [12, -12], [0, 0], [0, 8], [0, -2], [0, 0], [-3, 3], [8, -8], [0, 0], [0, 0], [-4, 4], [0, 0], [-2, 0], [4, -4], [0, 0], [2, 0], [0, 0], [0, 0], [-8, 0], [0, -4], [0, 0], [13, -13], [4, 0], [0, 0], [1, 0], [2, -2], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [-14, 14], [6, 0], [0, 0], [-7, 7], [0, 0], [0, 0], [11, -11], [-1, 1], [0, 0], [0, -12], [0, -12], [0, 0], [0, 0], [8, 0], [0, 0], [-2, 0], [0, -14], [0, 0], [0, 0], [0, 3], [0, 0], [0, -8], [0, -7], [0, 0], [0, -2], [0, 0], [0, 0], [0, 4]]}