# Stored data for newform 1008.6.a.bs, downloaded from the LMFDB on 18 March 2026.
{"Nk2": 36288, "analytic_conductor": 161.66689037148447, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1]], "atkin_lehner_string": "++-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1008, 1, [127, 757, 785, 577], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 37, "field_disc_factorization": [[37, 1]], "field_poly": [-9, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-3124, -48, 1]], [11, [-168756, 368, 1]]], "hecke_orbit": 45, "hecke_orbit_code": 198158383704966128, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1008.6.a.bs", "level": 1008, "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": [2, 3, 7], "level_radical": 42, "minimal_twist": "504.6.a.l", "nf_label": "2.2.37.1", "prim_orbit_index": 1, "qexp_display": "q+(24+5\\beta )q^{5}+7^{2}q^{7}+(-184-37\\beta )q^{11}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1008.6.a", "trace_display": [0, 0, 48, 98], "trace_hash": 580690507383927932, "trace_moments": [{"__RealLiteral__": 0, "data": "0.056", "prec": 17}, {"__RealLiteral__": 0, "data": "2.034", "prec": 17}, {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "10.259", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.634", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 2, 0, 0, 0, 48, 0, 98, 0, 0, 0, -368, 0, -156, 0, 0, 0, -3312, 0, -3736, 0, 0, 0, -1552, 0, 2302, 0, 0, 0, 1728, 0, 3624, 0, 0, 0, 2352, 0, 6996, 0, 0, 0, 26160, 0, 30184, 0, 0, 0, 11424, 0, 4802, 0, 0, 0, -17376, 0, -63592, 0, 0, 0, -15008, 0, 35564, 0, 0, 0, 114656, 0, 70504, 0, 0, 0, -40752, 0, -53892, 0, 0, 0, -18032, 0, 9744, 0, 0, 0, -31360, 0, -128328, 0, 0, 0, 35952, 0, -7644, 0, 0, 0, -160704, 0, 66652, 0, 0, 0, 63952, 0, 125608, 0, 0, 0, 90064, 0, 319588, 0, 0, 0, 300160, 0, -12088, 0, 0, 0, -162288, 0, 150834, 0, 0, 0, 260448, 0, -195312, 0, 0, 0, -601280, 0, -183064, 0, 0, 0, 118112, 0, -16416, 0, 0, 0, -847456, 0, -242688, 0, 0, 0, 330720, 0, 437072, 0, 0, 0, 110656, 0, 346604, 0, 0, 0, -76048, 0, 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