# Stored data for newform 1008.2.r.l, downloaded from the LMFDB on 23 April 2024. {"label": "1008.2.r.l", "space_label": "1008.2.r", "level": 1008, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49540764165735408, "dim": 8, "is_polredabs": true, "nf_label": "8.0.2091141441.1", "trace_hash": 1351765335063950588, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [4, 18, 65, 84, 93, -6, 17, 3, 1]], [11, [225, 180, 249, 126, 148, 73, 42, 7, 1]]], "qexp_display": "q+(-\\beta _{1}+\\beta _{6})q^{3}+(-1+\\beta _{1}-\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "r", "char_is_real": false, "Nk2": 4032, "analytic_conductor": 8.048920523745062, "hecke_ring_index": 3, "level_radical": 42, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [1008, 3, [127, 757, 785, 577], [3, 3, 1, 3]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [337, 673], "field_disc": 2091141441, "field_disc_factorization": [[3, 4], [5081, 2]], "field_poly": [81, -27, 9, 9, -15, 3, 1, -1, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.345", "prec": 17}, {"__RealLiteral__": 0, "data": "0.673", "prec": 17}, {"__RealLiteral__": 0, "data": "225.133", "prec": 24}, {"__RealLiteral__": 0, "data": "206.191", "prec": 24}, {"__RealLiteral__": 0, "data": "13051.366", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c3", "trace_display": [0, 1, -3, -4], "traces": 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