# Stored data for newform 6.17.b.a, downloaded from the LMFDB on 19 April 2024.
{"label": "6.17.b.a", "space_label": "6.17.b", "level": 6, "weight": 17, "hecke_orbit": 1, "hecke_orbit_code": 69004689414, "dim": 6, "is_polredabs": true, "trace_hash": 55568879400103158, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q-\\beta _{1}q^{2}+(1001+\\beta _{1}-\\beta _{2})q^{3}-2^{15}q^{4}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 1734, "analytic_conductor": 9.73947263139763, "hecke_ring_index": 213986410758144, "level_radical": 6, "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": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [6, 2, [5], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [5], "field_disc": -21657249511537618995200, "field_disc_factorization": [[-1, 1], [2, 11], [5, 2], [650379239, 2]], "field_poly": [123254139008, 0, 758395257, 0, 55116, 0, 1], "hecke_ring_index_factorization": [[2, 27], [3, 13]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "5.523", "prec": 17}, {"__RealLiteral__": 0, "data": "0.481", "prec": 17}, {"__RealLiteral__": 0, "data": "163.823", "prec": 24}, {"__RealLiteral__": 0, "data": "66.351", "prec": 20}, {"__RealLiteral__": 0, "data": "7019.519", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "16.2.3.c2", "trace_display": [0, 6006, 0, -167892], "traces": [0, 6, 0, 6006, -196608, 0, 159744, -167892, 0, -10215738, 39297024, 0, -196804608, 1763152140, 0, -8080218432, 6442450944, 0, -12549169152, 60306979692, 0, -155770661748, 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