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mf_newforms • Show schema
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{'Nk2': 3200, 'analytic_conductor': 6.388032161702431, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [800, 2, [351, 101, 577], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 449, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [5, 0, 1]], [11, [-5, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021735236731680, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 20, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '800.2.c.g', 'level': 800, 'level_is_powerful': True, '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, 5], 'level_radical': 10, 'minimal_twist': '800.2.a.k', 'nf_label': '4.0.400.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{2}q^{3}-2\\beta _{2}q^{7}-2q^{9}+\\beta _{3}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '800.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1083169175964706287, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.832', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.747', 'prec': 17}, {'__RealLiteral__': 0, 'data': '117.296', 'prec': 24}, {'__RealLiteral__': 0, 'data': '72.233', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4559.993', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.762', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, 0, 0], [10, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [0, 5, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [-13, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -7], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 15, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [10, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [10, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [0, -9, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [-11, 0, 0, 0], [0, 0, 0, 0], [0, 0, -5, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [0, 10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 1], [0, 4, 0, 0], [0, 7, 0, 0], [0, 0, 0, 3], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, -2, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 6, 0, 0], [0, 0, 0, -4], [10, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, -4], [0, -9, 0, 0], [0, 0, 0, 2], [0, 0, -5, 0], [5, 0, 0, 0], [0, -2, 0, 0], [-2, 0, 0, 0], [0, 0, -4, 0], [0, 0, -1, 0], [-6, 0, 0, 0], [0, -1, 0, 0], [0, 0, -2, 0], [0, 0, 0, 8], [0, 3, 0, 0], [0, 0, 0, -1], [16, 0, 0, 0], [0, 0, 0, -6], [0, -18, 0, 0], [0, 0, -1, 0], [0, 0, -4, 0], [0, 16, 0, 0], [0, 0, 0, -1], [2, 0, 0, 0], [0, 0, 0, 6], [0, 9, 0, 0], [0, 18, 0, 0], [0, 0, 0, -4], [0, 0, 0, -9], [0, 0, -12, 0], [0, 0, 8, 0], [-20, 0, 0, 0], [0, -26, 0, 0], [0, 0, 0, -8], [5, 0, 0, 0], [0, 0, 0, -5], [0, 2, 0, 0], [0, 0, -10, 0], [-24, 0, 0, 0], [0, 0, 0, -6], [0, -8, 0, 0], [30, 0, 0, 0], [0, 0, 3, 0], [0, 14, 0, 0], [0, 0, 7, 0], [0, 0, 0, -10], [0, -6, 0, 0], [0, 12, 0, 0], [0, 0, 0, 5], [0, -27, 0, 0], [0, 0, -9, 0], [-30, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, -14], [0, 0, -12, 0], [0, -14, 0, 0], [0, 0, 0, -7], [0, 0, -2, 0], [-6, 0, 0, 0], [0, 28, 0, 0], [17, 0, 0, 0], [-29, 0, 0, 0], [0, 0, 0, 7], [20, 0, 0, 0], [0, 0, 0, -2], [0, 1, 0, 0], [0, 0, 0, 16], [0, 0, -17, 0], [19, 0, 0, 0], [0, 7, 0, 0], [-12, 0, 0, 0], [0, 0, 12, 0], [0, 0, 8, 0], [0, 0, 0, -6], [0, 0, -2, 0], [0, 0, 0, -16], [0, 0, 0, 0], [0, 0, 12, 0], [-10, 0, 0, 0], [13, 0, 0, 0], [0, 0, -3, 0], [8, 0, 0, 0], [0, 0, -9, 0], [0, 28, 0, 0], [0, 0, 20, 0], [-1, 0, 0, 0], [0, 0, 0, -8], [0, -43, 0, 0], [0, 0, 9, 0], [0, -9, 0, 0], [0, 0, 0, 2], [-25, 0, 0, 0], [0, 0, -8, 0], [0, -26, 0, 0], [0, 2, 0, 0], [0, 0, 0, -8], [0, 0, 0, -6], [10, 0, 0, 0], [0, 0, -8, 0], [0, 0, -4, 0], [0, -34, 0, 0], [0, 0, 0, -3], [40, 0, 0, 0], [0, 26, 0, 0], [0, -32, 0, 0], [0, 0, 5, 0], [0, 0, 0, 17], [-20, 0, 0, 0], [-20, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, -44, 0, 0], [0, 0, 0, 16], [0, 0, 14, 0], [0, 0, 0, 24], [0, -8, 0, 0], [-43, 0, 0, 0], [15, 0, 0, 0], [0, 24, 0, 0], [0, 0, 0, 0], [0, -18, 0, 0], [30, 0, 0, 0], [0, 0, 0, -8], [50, 0, 0, 0], [0, 0, 12, 0], [0, 0, -23, 0], [-4, 0, 0, 0], [0, 0, 0, 8], [0, 34, 0, 0], [0, 3, 0, 0], [0, 0, 0, 15], [0, 0, 0, 0], [0, -28, 0, 0], [30, 0, 0, 0], [0, 0, 1, 0], [0, 0, 4, 0], [0, 0, 24, 0], [0, 0, 0, 20], [0, 0, 0, -6], [-14, 0, 0, 0], [0, 17, 0, 0], [-28, 0, 0, 0], [0, 0, -12, 0], [0, 9, 0, 0], [0, 0, 24, 0], [0, 0, 0, 25], [0, 3, 0, 0], [0, 0, -2, 0], [0, 0, 0, 6], [0, 52, 0, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 3, 0, 1], 'hecke_orbit_code': 27021735236731680, 'hecke_ring_character_values': [[351, [1, 0, 0, 0]], [101, [1, 0, 0, 0]], [577, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [-3, 0, 0, 1], [0, 2, -1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, 1], [0, 4, 0, 1], [3, 0, 2, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '800.2.c.g', 'level': 800, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3200, 'analytic_conductor': 6.388032161702431, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [800, 2, [351, 101, 577], [2, 2, 1]], 'conrey_index': 449, 'cusp_dim': 96, 'dim': 18, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 137472508704, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4], 'label': '800.2.c', 'level': 800, 'level_is_powerful': True, '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, 5], 'level_radical': 10, 'mf_dim': 144, 'mf_new_dim': 18, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 18, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [18, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 194, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 178, 0, 0, 0, 0, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 404, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -484, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 506522
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '800.2.a.k', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 506523
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '800.2.a.k', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 506524
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '800.2.a.l', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 506525
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '800.2.a.l', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 506526
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.c.g', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 506527
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.c.g', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 506528
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.c.g', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 506529
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '800.2.c.g', 'target_level': 800, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 506530
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1600.2.a.ba', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 506531
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1600.2.a.ba', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 506532
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '1600.2.a.bb', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 506533
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '1600.2.a.bb', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 506534
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1600.2.c.o', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 506535
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1600.2.c.o', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 506536
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1600.2.c.o', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 506537
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1600.2.c.o', 'target_level': 1600, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 506538
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '7200.2.a.cf', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 506539
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '7200.2.a.cf', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 506540
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 66, 'target_is_minimal': False, 'target_label': '7200.2.a.cn', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 506541
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 66, 'target_is_minimal': False, 'target_label': '7200.2.a.cn', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 506542
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7200.2.f.bg', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 506543
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7200.2.f.bg', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 506544
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7200.2.f.bg', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 506545
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '800.2.c.g', 'source_level': 800, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7200.2.f.bg', 'target_level': 7200, 'twist_class_label': '800.2.a.k', 'twist_class_level': 800, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1343725
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021735236731680, 'p': 2}
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id: 1343726
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 3}
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id: 1343727
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021735236731680, 'p': 5}
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id: 1343728
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 7}
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id: 1343729
{'charpoly_factorization': [[[-5, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 11}
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id: 1343730
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 13}
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id: 1343731
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 17}
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id: 1343732
{'charpoly_factorization': [[[-45, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 19}
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id: 1343733
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 23}
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id: 1343734
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021735236731680, 'p': 29}
-
id: 1343735
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 31}
-
id: 1343736
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 37}
-
id: 1343737
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 27021735236731680, 'p': 41}
-
id: 1343738
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021735236731680, 'p': 43}
-
id: 1343739
{'charpoly_factorization': [[[80, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 47}
-
id: 1343740
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 53}
-
id: 1343741
{'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 59}
-
id: 1343742
{'charpoly_factorization': [[[-10, 1], 4]], 'hecke_orbit_code': 27021735236731680, 'p': 61}
-
id: 1343743
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 67}
-
id: 1343744
{'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 71}
-
id: 1343745
{'charpoly_factorization': [[[81, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 73}
-
id: 1343746
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 79}
-
id: 1343747
{'charpoly_factorization': [[[125, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 83}
-
id: 1343748
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 27021735236731680, 'p': 89}
-
id: 1343749
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 27021735236731680, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 7, 'label': '800.2.c.g', 'level': 800, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47141221
{'hecke_orbit_code': 27021735236731680, 'n': 1, 'trace_an': 4}
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id: 47141222
{'hecke_orbit_code': 27021735236731680, 'n': 2, 'trace_an': 0}
-
id: 47141223
{'hecke_orbit_code': 27021735236731680, 'n': 3, 'trace_an': 0}
-
id: 47141224
{'hecke_orbit_code': 27021735236731680, 'n': 4, 'trace_an': 0}
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id: 47141225
{'hecke_orbit_code': 27021735236731680, 'n': 5, 'trace_an': 0}
-
id: 47141226
{'hecke_orbit_code': 27021735236731680, 'n': 6, 'trace_an': 0}
-
id: 47141227
{'hecke_orbit_code': 27021735236731680, 'n': 7, 'trace_an': 0}
-
id: 47141228
{'hecke_orbit_code': 27021735236731680, 'n': 8, 'trace_an': 0}
-
id: 47141229
{'hecke_orbit_code': 27021735236731680, 'n': 9, 'trace_an': -8}
-
id: 47141230
{'hecke_orbit_code': 27021735236731680, 'n': 10, 'trace_an': 0}
-
id: 47141231
{'hecke_orbit_code': 27021735236731680, 'n': 11, 'trace_an': 0}
-
id: 47141232
{'hecke_orbit_code': 27021735236731680, 'n': 12, 'trace_an': 0}
-
id: 47141233
{'hecke_orbit_code': 27021735236731680, 'n': 13, 'trace_an': 0}
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id: 47141234
{'hecke_orbit_code': 27021735236731680, 'n': 14, 'trace_an': 0}
-
id: 47141235
{'hecke_orbit_code': 27021735236731680, 'n': 15, 'trace_an': 0}
-
id: 47141236
{'hecke_orbit_code': 27021735236731680, 'n': 16, 'trace_an': 0}
-
id: 47141237
{'hecke_orbit_code': 27021735236731680, 'n': 17, 'trace_an': 0}
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id: 47141238
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