# Stored data for newform 624.4.d.c, downloaded from the LMFDB on 27 December 2024.
{"Nk2": 9984, "analytic_conductor": 36.817191843582144, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 12, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": 1, "char_values": [624, 2, [79, 469, 209, 145], [1, 2, 1, 2]], "cm_discs": [], "conrey_index": 287, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[5, [7206159168, 0, 6117946848, 0, 582053364, 0, 17923788, 0, 207621, 0, 810, 0, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007405480280688, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "624.4.d.c", "level": 624, "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, 13], "level_radical": 78, "minimal_twist": "624.4.d.c", "prim_orbit_index": 2, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "3.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "624.4.d", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, -300, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -456, 0, 0, 0, 0, 0, 0, 0, 1836, 0, 0, 0, -1632, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -960, 0, 0, 0, 0, 0, 0, 0, 2760, 0, 0, 0, 1248, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 0, -7704, 0, 0, 0, 0, 0, 0, 0, 3336, 0, 0, 0, -2496, 0, 0, 0, 0, 0, 0, 0, 3852, 0, 0, 0, -8184, 0, 0, 0, 0, 0, 0, 0, 1092, 0, 0, 0, 3192, 0, 0, 0, 0, 0, 0, 0, 2172, 0, 0, 0, -8928, 0, 0, 0, 0, 0, 0, 0, 4596, 0, 0, 0, -7776, 0, 0, 0, 0, 0, 0, 0, 11196, 0, 0, 0, -14928, 0, 0, 0, 0, 0, 0, 0, 21600, 0, 0, 0, 4056, 0, 0, 0, 0, 0, 0, 0, 14304, 0, 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0, 0, 0, 0, 103740, 0, 0, 0, 75384, 0, 0, 0, 0, 0, 0, 0, -344448, 0, 0, 0, -125376, 0, 0, 0], "weight": 4, "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, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}