# Stored data for newform 6025.2.a.h, downloaded from the LMFDB on 23 April 2024.
{"label": "6025.2.a.h", "space_label": "6025.2.a", "level": 6025, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425153929, "dim": 12, "is_polredabs": true, "trace_hash": 668516528021957841, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -18, -45, 328, 105, -444, -123, 219, 65, -44, -14, 3, 1]], [3, [64, -400, -992, 960, 1540, -725, -888, 210, 224, -25, -25, 1, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{8}q^{3}+(1+\\beta _{2})q^{4}+(1-\\beta _{3}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24100, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 48.10986721782143, "hecke_ring_index": 1, "level_radical": 1205, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [6025, 1, [2652, 2176], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [5, 241], "conrey_indexes": [1], "field_disc": 32354823033956684288, "field_disc_factorization": [[2, 9], [97, 1], [651474368435017, 1]], "field_poly": [-1, 18, -45, -328, 105, 444, -123, -219, 65, 44, -14, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.197", "prec": 17}, {"__RealLiteral__": 0, "data": "10.004", "prec": 20}, {"__RealLiteral__": 0, "data": "3.553", "prec": 17}, {"__RealLiteral__": 0, "data": "343.526", "prec": 24}, {"__RealLiteral__": 0, "data": "47.644", "prec": 20}, {"__RealLiteral__": 0, "data": "22693.298", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c1", 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