# Stored data for newform 738.2.u.f, downloaded from the LMFDB on 01 October 2025.
{"Nk2": 2952, "analytic_conductor": 5.892959669170493, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 41, "char_degree": 8, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 21, "char_orbit_label": "u", "char_order": 20, "char_parity": 1, "char_values": [738, 20, [83, 703], [20, 13]], "cm_discs": [], "conrey_index": 289, "dim": 32, "has_non_self_twist": 1, "hecke_cutters": [[5, [192721, 2721800, 11938188, 141468840, 2500694116, 17391829120, 49188041688, 44033417360, 7431039707, -22673476020, -13197280620, 3829603720, 5843143120, 152585740, -1385115450, 73556720, 372629218, -8528720, -62882126, 350520, 8093276, 104040, -846292, 19240, 99624, 1700, -6332, 0, 448, 0, -26, 0, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22519372559942370, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 41, 7, 1, 20, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "738.2.u.f", "level": 738, "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, 41], "level_radical": 246, "minimal_twist": "246.2.n.b", "prim_orbit_index": 7, "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c20", "self_twist_discs": [], "self_twist_type": 0, "space_label": "738.2.u", "trace_display": [0, 0, 0, 4], "traces": [32, 0, 0, 8, 0, 0, 4, 0, 0, -4, 4, 0, -12, -4, 0, -8, 4, 0, -4, 0, 0, -4, -40, 0, 12, -8, 0, -4, -16, 0, -4, 0, 0, -16, 8, 0, -44, 16, 0, -16, 28, 0, -40, 16, 0, -20, 48, 0, -40, 0, 0, -8, 8, 0, 72, 4, 0, 16, -32, 0, 100, 0, 0, 8, 0, 0, -56, -4, 0, 48, 80, 0, 0, 0, 0, 4, 0, 0, 48, 0, 0, 12, -72, 0, -52, -4, 0, 4, -44, 0, 0, -20, 0, 28, 40, 0, 92, 56, 0, -12, 56, 0, 0, -12, 0, -8, -48, 0, -92, -28, 0, 4, 0, 0, -120, -4, 0, -60, 28, 0, 40, -16, 0, 24, 0, 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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}