# Stored data for newform 1629.4.a.f, downloaded from the LMFDB on 02 January 2026.
{"Nk2": 26064, "analytic_conductor": 96.11411139935146, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [181, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1629, 1, [182, 1450], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 25, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [18978701312, 2234384384, -114587254784, 13477511168, 233449201024, -39711759328, -221230244096, 28939953976, 114296470604, -7109005662, -34301496191, -97711240, 6152220602, 300616331, -686863012, -54837738, 49012851, 4956157, -2239127, -260380, 63408, 8085, -1014, -138, 7, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998203962973, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1629.4.a.f", "level": 1629, "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": [3, 181], "level_radical": 543, "minimal_twist": "181.4.a.c", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 25, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1629.4.a", "trace_display": [-7, 0, -26, 31], "traces": [25, -7, 0, 125, -26, 0, 31, -87, 0, 49, -339, 0, 28, -257, 0, 605, -242, 0, 248, -306, 0, 200, -367, 0, 785, -364, 0, 493, -750, 0, 153, -968, 0, 199, -1572, 0, 376, -1009, 0, -7, -572, 0, 1319, -2848, 0, 85, -337, 0, 1524, 1476, 0, -3803, -697, 0, -978, -159, 0, -6004, -2225, 0, -865, 1428, 0, -2441, -624, 0, -615, 127, 0, -10709, -3829, 0, -1301, -2353, 0, -4019, -350, 0, 634, 1752, 0, -3631, -2500, 0, 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