# Stored data for newform 2100.2.q.m, downloaded from the LMFDB on 18 April 2024. {"label": "2100.2.q.m", "space_label": "2100.2.q", "level": 2100, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54044295073630260, "dim": 8, "is_polredabs": true, "nf_label": "8.0.17819046144.3", "trace_hash": 848546911315477318, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [196, -308, 568, 20, 110, 20, 22, 4, 1]], [13, [75, 0, -24, -2, 1]]], "qexp_display": "q-\\beta _{4}q^{3}+(\\beta _{1}-\\beta _{6})q^{7}+(-1-\\beta _{4}+\\cdots)q^{9}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "q", "char_is_real": false, "Nk2": 8400, "analytic_conductor": 16.76858442446888, "hecke_ring_index": 1, "level_radical": 210, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [2100, 3, [1051, 701, 1177, 1501], [3, 3, 3, 2]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1201, 1801], "field_disc": 17819046144, "field_disc_factorization": [[2, 8], [3, 8], [103, 2]], "field_poly": [4, 4, 16, -4, 38, 8, 10, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.047", "prec": 17}, {"__RealLiteral__": 0, "data": "7.054", "prec": 17}, {"__RealLiteral__": 0, "data": "0.441", "prec": 17}, {"__RealLiteral__": 0, "data": "215.061", "prec": 24}, {"__RealLiteral__": 0, "data": "83.957", "prec": 20}, {"__RealLiteral__": 0, "data": "13308.256", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c3", "trace_display": [0, 4, 0, 2], "traces": 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