# Stored data for newform 1725.4.a.m, downloaded from the LMFDB on 16 November 2025.
{"Nk2": 27600, "analytic_conductor": 101.77829475990256, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [23, 1]], "atkin_lehner_string": "-++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1725, 1, [1151, 277, 1201], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-7, -2, 1]], [7, [188, -28, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195595556541, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": "1725.4.a.m", "level": 1725, "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": [3, 5, 23], "level_radical": 345, "minimal_twist": "69.4.a.b", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+(1+\\beta )q^{2}+3q^{3}+(1+2\\beta )q^{4}+(3+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1725.4.a", "trace_display": [2, 6, 0, 28], "trace_hash": 359946849710401658, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.193", "prec": 20}, {"__RealLiteral__": 0, "data": "0.525", "prec": 17}, {"__RealLiteral__": 0, "data": "73.822", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 2, 2, 6, 2, 0, 6, 28, 18, 18, 0, -72, 6, 60, 44, 0, -78, -96, 18, -148, 0, 84, -184, -46, 54, 0, 156, 54, 60, -204, 0, -168, -414, -216, -176, 0, 18, -116, -532, 180, 0, 4, 132, 420, -296, 0, -46, 48, -234, -278, 0, -288, 252, -32, 54, 0, 172, -444, -1260, -40, 0, -764, 696, 252, 34, 0, -552, 988, -256, -138, 0, -224, 162, -820, -804, 0, -916, -1120, 468, 1772, 0, 162, -412, -1480, 180, 0, 132, -612, -88, 744, 0, 936, -46, -504, 1456, 0, -1242, 260, 170, -648, 0, 1644, -528, 148, 60, 0, 128, 696, 54, -228, 0, -348, -1284, -584, -1596, 0, -2316, 540, 2488, -1424, 0, 714, 20, 12, 1560, 0, 396, 1096, 1394, 1260, 0, -3912, -888, -2456, -1348, 0, -464, -3704, -138, -1256, 0, 144, 4352, -2832, -702, 0, -1716, -834, -1492, -1272, 0, -1712, 588, 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