# Stored data for newform 300.8.a.h, downloaded from the LMFDB on 12 August 2026.
{"Nk2": 19200, "analytic_conductor": 93.71550764523653, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 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": [300, 1, [151, 101, 277], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 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": [[7, [-832, 1]], [11, [-3156, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197525811500, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": "300.8.a.h", "level": 300, "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, 5], "level_radical": 30, "minimal_twist": "60.8.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+3^{3}q^{3}+832q^{7}+3^{6}q^{9}+3156q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "300.8.a", "trace_display": [0, 27, 0, 832], "trace_hash": 1940951772817891657, "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 7}, {"__RealLiteral__": 0, "data": "0.992", "prec": 10}, {"__RealLiteral__": 0, "data": "0.026", "prec": 7}, {"__RealLiteral__": 0, "data": "1.971", "prec": 14}, {"__RealLiteral__": 0, "data": "0.097", "prec": 7}, {"__RealLiteral__": 0, "data": "4.876", "prec": 14}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 4}, "traces": [0, 1, 0, 27, 0, 0, 0, 832, 0, 729, 0, 3156, 0, 7690, 0, 0, 0, -258, 0, 45740, 0, 22464, 0, -104832, 0, 0, 0, 19683, 0, 38646, 0, 192224, 0, 85212, 0, 0, 0, -403454, 0, 207630, 0, 86010, 0, 127348, 0, 0, 0, -601272, 0, -131319, 0, -6966, 0, 1628226, 0, 0, 0, 1234980, 0, 198996, 0, 1209782, 0, 606528, 0, 0, 0, 699388, 0, -2830464, 0, -4939320, 0, 1275334, 0, 0, 0, 2625792, 0, 6559712, 0, 531441, 0, 3108348, 0, 0, 0, 1043442, 0, 5542410, 0, 6398080, 0, 5190048, 0, 0, 0, -4513346, 0, 2300724, 0, -10958802, 0, -16018448, 0, 0, 0, -7601244, 0, 20953382, 0, -10893258, 0, 9605694, 0, 0, 0, 5606010, 0, -214656, 0, -9526835, 0, 2322270, 0, 0, 0, -15012488, 0, 3438396, 0, 32631132, 0, 38055680, 0, 0, 0, 40021686, 0, 46742324, 0, -16234344, 0, 24269640, 0, 0, 0, -3545613, 0, 39385182, 0, -63991960, 0, 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