# Stored data for newform 2100.2.bo.a, downloaded from the LMFDB on 17 September 2025.
{"Nk2": 8400, "analytic_conductor": 16.76858442446888, "analytic_rank": 1, "analytic_rank_proved": true, "char_conductor": 105, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 41, "char_orbit_label": "bo", "char_order": 6, "char_parity": 1, "char_values": [2100, 6, [1051, 701, 1177, 1501], [6, 3, 3, 5]], "cm_discs": [], "conrey_index": 1349, "dim": 4, "field_disc": 144, "field_disc_factorization": [[2, 4], [3, 2]], "field_poly": [1, 0, -1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 12, "has_non_self_twist": 1, "hecke_cutters": [[11, [27, 9, 1]], [13, [0, 1]], [19, [3, 3, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 2748812625972, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 21, 7, 1, 6, 0], [1, 1, 105, 16, 1, 6, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "2100.2.bo.a", "level": 2100, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5, 7], "level_radical": 210, "minimal_twist": "84.2.k.a", "nf_label": "4.0.144.1", "prim_orbit_index": 16, "qexp_display": "q+(-\\zeta_{12}-\\zeta_{12}^{3})q^{3}+(2\\zeta_{12}-3\\zeta_{12}^{3})q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2100.2.bo", "trace_display": [0, 0, 0, 0], "trace_hash": 706499132322010317, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.818", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "89.154", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2868.609", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.591", "prec": 17}, "traces": [0, 4, 0, 0, 0, 0, 0, 0, 0, -6, 0, -18, 0, 0, 0, 0, 0, 0, 0, -6, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -42, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -18, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, -18, 0, 0, 0, 0, 0, 0, 0, -34, 0, 42, 0, 0, 0, 0, 0, 0, 0, -30, 0, 32, 0, 0, 0, 0, 0, 0, 0, 24, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -18, 0, -26, 0, 0, 0, 0, 0, 0, 0, 36, 0, 54, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -54, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -80, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 72, 0, 96, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 78, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -18, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 6, 0, -62, 0, 0, 0, 0, 0, 0, 0, 72, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, -32, 0, 0, 0, 0, 0, 0, 0, 36, 0, 18, 0, 0, 0, 0, 0, 0, 0, -64, 0, -48, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, -126, 0, 0, 0, 0, 0, 0, 0, 18, 0, -36, 0, 0, 0, 0, 0, 0, 0, 48, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -54, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -54, 0, 120, 0, 0, 0, 0, 0, 0, 0, 50, 0, 36, 0, 0, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 72, 0, 0, 0, 0, 0, 0, 0, 42, 0, -42, 0, 0, 0, 0, 0, 0, 0, -54, 0, 30, 0, 0, 0, 0, 0, 0, 0, -8, 0, 18, 0, 0, 0, 0, 0, 0, 0, -54, 0, 74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 54, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 54, 0, 0, 0, 0, 0, 0, 0, 84, 0, 32, 0, 0, 0, 0, 0, 0, 0, 108, 0, -54, 0, 0, 0, 0, 0, 0, 0, -54, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 36, 0, 252, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 12, 0, 0, 0, 0, 0, 0, 0, -30, 0, -54, 0, 0, 0, 0, 0, 0, 0, 108, 0, 24, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 58, 0, 0, 0, 0, 0, 0, 0, -162, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 36, 0, -108, 0, 0, 0, 0, 0, 0, 0, -36, 0, -144, 0, 0, 0, 0, 0, 0, 0, -36, 0, -108, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 116, 0, 0, 0, 0, 0, 0, 0, -60, 0, -126, 0, 0, 0, 0, 0, 0, 0, 138, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, -72, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, -60, 0, 0, 0, 0, 0, 0, 0, -78, 0, 30, 0, 0, 0, 0, 0, 0, 0, -42, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -18, 0, -56, 0, 0, 0, 0, 0, 0, 0, -18, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, -72, 0, -50, 0, 0, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 12, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -126, 0, 0, 0, 0, 0, 0, 0, 54, 0, -108, 0, 0, 0, 0, 0, 0, 0, 120, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 210, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -192, 0, 48, 0, 0, 0, 0, 0, 0, 0, 18, 0, -228, 0, 0, 0, 0, 0, 0, 0, -102, 0, 162, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, -2, 0, 0, 0, 0, 0, 0, 0, -126, 0, -102, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, -38, 0, 0, 0, 0, 0, 0, 0, 108, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 306, 0, -86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -108, 0, -126, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, -126, 0, 0, 0, 0, 0, 0, 0, -174, 0, -108, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 36, 0, 0, 0, 0, 0, 0, 0, 114, 0, 210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, 120, 0, -72, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -18, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 50, 0, 0, 0, 0, 0, 0, 0, -78, 0, 54, 0, 0, 0, 0, 0, 0, 0, 24, 0, 186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -234, 0, 72, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, -54, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 18, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 66, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -144, 0, 48, 0, 0, 0, 0, 0, 0, 0, -18, 0, 78, 0, 0, 0, 0, 0, 0, 0, 108, 0, -42, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 54, 0, 0, 0, 0, 0, 0, 0, -78, 0, -72, 0, 0, 0, 0, 0, 0, 0, -90, 0, 114, 0, 0, 0, 0, 0, 0, 0, 82, 0, 18, 0, 0, 0, 0, 0, 0, 0, -90, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 54, 0, -22, 0, 0, 0, 0, 0, 0, 0, 72, 0, 54, 0, 0, 0, 0, 0, 0, 0, 108, 0, -192, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 234, 0, 0, 0, 0, 0, 0, 0, 234, 0, -180, 0, 0, 0, 0, 0, 0, 0, 252, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, -150, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, -42, 0, 222, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -18, 0, 0, 0, 0, 0, 0, 0, 54, 0, 34, 0, 0, 0, 0, 0, 0, 0, 90, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, -18, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 108, 0, -72, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 234, 0, 0, 0, 0, 0, 0, 0, -18, 0, -54, 0, 0, 0, 0, 0, 0, 0, -168, 0, 84, 0, 0, 0, 0, 0, 0, 0, 120, 0, -198, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 12, 0, -192, 0, 0, 0, 0, 0, 0, 0, -130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66, 0, 54, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 126, 0, 0, 0, 0, 0, 0, 0, 66, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 58, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "fricke_eigenval": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, -3], [0, 0, 0, 0], [-3, 0, 3, 0], [0, 0, 0, 0], [-3, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [-2, 0, 1, 0], [0, 0, 0, 0], [-4, 0, -1, 0], [0, 0, 0, 0], [0, 3, 0, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 9], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -7, 0, 7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, 0, -3], [0, 0, 0, 0], [3, 0, -8, 0], [0, 0, 0, 0], [-3, 0, 6, 0], [0, 0, 0, 0], [0, -3, 0, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [3, 0, -3, 0], [0, 0, 0, 0], [-14, 0, 7, 0], [0, 0, 0, 0], [0, 3, 0, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 5, 0, 0], [0, 0, 0, 0], [9, 0, -9, 0], [0, 0, 0, 0], [6, 0, -12, 0], [0, 0, 0, 0], [0, 7, 0, -14], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -15, 0, 12], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, -9, 0], [0, 0, 0, 0], [0, 0, 0, 12], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 9, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 8, 0, -4], [0, 0, 0, 0], [18, 0, -9, 0], [0, 0, 0, 0]]}