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mf_newforms • Show schema
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{'Nk2': 8736, 'analytic_conductor': 17.439327801447636, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, 1], [13, -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': [2184, 1, [1639, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 138892, 'field_disc_factorization': [[2, 2], [13, 1], [2671, 1]], 'field_poly': [12, 2, -10, -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, [4, 24, -15, -2, 1]], [11, [48, -112, -34, 3, 1]], [17, [16, 20, -36, -3, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208337032, 'hecke_ring_generator_nbound': 11, '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': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2184.2.a.v', 'level': 2184, '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, 13], 'level_radical': 546, 'minimal_twist': '2184.2.a.v', 'nf_label': '4.4.138892.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(1+\\beta _{1})q^{5}-q^{7}+q^{9}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2184.2.a', 'trace_display': [0, -4, 2, -4], 'trace_hash': 2174912427412606, 'trace_moments': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 0], [1, 0, 0, -1], [0, 0, 0, 0], [-1, 1, 1, 1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, 1, -1, -1], [0, 0, 0, 0], [4, 1, -1, 1], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 1, 1, 1], [0, 0, 0, 0], [2, -1, -1, 0], [0, 0, 0, 0], [1, 0, -1, 0], [0, 0, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 0], [1, 0, 0, -1], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [2, 0, -1, -1], [0, 0, 0, 0], [-1, 1, -1, -1], [0, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 0], [4, 1, 0, 1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 0, 0, 0], [4, 3, 1, 2], [0, 0, 0, 0], [-1, -4, 2, 1], [0, 0, 0, 0], [1, -1, -1, -1], [0, 0, 0, 0], [2, 0, -1, 1], [0, 0, 0, 0], [1, -2, 2, -1], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 0], [2, 2, -2, -2], [0, 0, 0, 0], [1, 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-12], [17, 12, -4, -1], [-4, 2, 2, -2], [40, 0, 2, -2], [-28, -2, -6, -4], [31, -4, -4, -5], [4, -8, 4, 8], [-22, 5, -7, -6], [33, -6, -6, -3], [-10, 19, -1, 4], [23, -11, 7, -3], [12, -18, 7, -1], [-8, 0, -6, -6], [-25, -4, -6, 3], [31, -3, 3, 5], [19, 6, -6, -5], [-7, -2, -3, 10], [-24, 11, -4, -1], [24, 5, 3, 2], [-4, 2, -2, -6], [8, -10, 8, 6], [-26, 6, -6, -4], [-9, 10, -10, -1], [9, -7, -9, 1], [-8, 8, 4, 2], [26, 10, -3, -1], [-44, -5, -3, -4], [-42, -5, 3, 4], [-15, 7, 9, 1], [4, 0, 6, 8], [-24, -4, 10, -2], [-17, -4, 0, 1], [0, -10, -3, 3], [8, 3, 5, 2], [-24, -8, -2, 6], [-22, 4, 11, -1], [0, 8, -2, -4], [7, 3, 3, 5], [8, -12, -3, -7], [8, 2, -10, -2], [16, -9, 8, -1], [-26, 2, -3, -3], [-7, 9, 11, 7], [40, 13, 3, -2], [6, -8, -10, -8], [-24, -14, -2, 6], [4, 4, -8, -2], [25, 2, -4, -5], [-7, 20, -9, 2], [22, 10, 6, 4], [-4, -16, -2, -10], [-5, -13, -3, -5], [-11, -6, -4, 3], [-35, -2, 4, -3], [25, 10, 8, 9], [-9, 9, -3, 3], [-28, -10, -2, -16], [-2, 5, 4, -1], [-4, -2, -4, 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-17], [-4, -8, 4, 4], [-10, -4, 5, -9], [12, -15, 3, -2], [-6, 4, 8, -2], [49, 2, 6, -1], [3, -1, -5, 5], [-36, 2, 9, 5], [-6, -1, 7, 10], [-8, -1, 1, -10], [57, 0, 4, 1], [12, 5, -12, -5], [70, 7, 2, 9], [17, 10, 10, 9], [-2, -10, -4, -6], [13, -20, -1, -2], [51, 7, -3, 7], [32, 5, -8, -3], [6, 14, -10, 8], [1, -21, -7, -13], [6, 13, 1, 4], [23, -2, 2, 7], [5, -3, 7, -5], [56, 14, -2, -6], [40, 8, 9, 1], [-1, 2, -6, -1], [4, -4, -7, -9], [-4, 4, 6, 14], [35, -7, -7, -5], [34, -4, -18, -10], [-6, 24, -7, 3], [24, -4, 6, -2], [61, -6, -4, -3], [2, -17, 8, -5], [0, -21, 9, -4], [-28, -10, 5, 9], [51, 15, 3, 5], [36, 6, 2, -4]], 'char_orbit_index': 1, 'field_poly': [12, 2, -10, -1, 1], 'hecke_orbit_code': 94575592208337032, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [5, 0, 1, 0], [5, 2, 5, 4]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, -8, -1, 1], [-5, 0, 1, 0], [5, 2, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2184.2.a.v', 'level': 2184, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 4, 4, 0, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 4, 1], 'Nk2': 8736, 'analytic_conductor': 17.439327801447636, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2184, 1, [1639, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 433, 'dim': 36, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33556616, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4], 'label': '2184.2.a', 'level': 2184, '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, 13], 'level_radical': 546, 'mf_dim': 464, 'mf_new_dim': 36, 'num_forms': 22, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 896, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 36, 0, 0, 0, 16, 0, 32, 0, 16, 0, 16, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 24, 0, 36, 0, -32, 0, 0, 0, 8, 0, 32, 0, -12, 0, 0, 0, 24, 0, 16, 0, 0, 0, 48, 0, -24, 0, 0, 0, 40, 0, 16, 0, 16, 0, 48, 0, 48, 0, 0, 0, 16, 0, 92, 0, -24, 0, 48, 0, -16, 0, 16, 0, 16, 0, -24, 0, 0, 0, 16, 0, -16, 0, 16, 0, 0, 0, 80, 0, 0, 0, -16, 0, 32, 0, 0, 0, 72, 0, 16, 0, -40, 0, 0, 0, 8, 0, -16, 0, -64, 0, 36, 0, 0, 0, 0, 0, 0, 0, 40, 0, 16, 0, 32, 0, 16, 0, -64, 0, 0, 0, 4, 0, 24, 0, -40, 0, 0, 0, -16, 0, -8, 0, 16, 0, 32, 0, 16, 0, 0, 0, -16, 0, -16, 0, 16, 0, 112, 0, 8, 0, -32, 0, 0, 0, -80, 0, 44, 0, 80, 0, -32, 0, 0, 0, -128, 0, -8, 0, -32, 0, 96, 0, 0, 0, 0, 0, 0, 0, 8, 0, 24, 0, 80, 0, 64, 0, -96, 0, 16, 0, 16, 0, 0, 0, -48, 0, -48, 0, -72, 0, -64, 0, 32, 0, 4, 0, 144, 0, -64, 0, 0, 0, -64, 0, -128, 0, 80, 0, -24, 0, 52, 0, -32, 0, 0, 0, -32, 0, 0, 0, 16, 0, 16, 0, -40, 0, -64, 0, -80, 0, -64, 0, 96, 0, -8, 0, 0, 0, -32, 0, -80, 0, -8, 0, -16, 0, 0, 0, -80, 0, -48, 0, -24, 0, 16, 0, 0, 0, 72, 0, 32, 0, -64, 0, 0, 0, 0, 0, -88, 0, -80, 0, 0, 0, -112, 0, -48, 0, 8, 0, 112, 0, 4, 0, -96, 0, -40, 0, -88, 0, 16, 0, 0, 0, -104, 0, 48, 0, 0, 0, -40, 0, 0, 0, 16, 0, 0, 0, 0, 0, -104, 0, 48, 0, 40, 0, -176, 0, -16, 0, 0, 0, -32, 0, -24, 0, 0, 0, 96, 0, -80, 0, -16, 0, -24, 0, -152, 0, -48, 0, -64, 0, -48, 0, 32, 0, -64, 0, -24, 0, 16, 0, -48, 0, -104, 0, -128, 0, -144, 0, -8, 0, 36, 0, -128, 0, -40, 0, 0, 0, -96, 0, 32, 0, -96, 0, 0, 0, 24, 0, 0, 0, -176, 0, 32, 0, 64, 0, 48, 0, 8, 0, -80, 0, -176, 0, -176, 0, 16, 0, 0, 0, -24, 0, -24, 0, -24, 0, -96, 0, -16, 0, 40, 0, -32, 0, 32, 0, 32, 0, -152, 0, 16, 0, -80, 0, -64, 0, 0, 0, 0, 0, 32, 0, 16, 0, 16, 0, -128, 0, -40, 0, 128, 0, -192, 0, -4, 0, -48, 0, 84, 0, 16, 0, -24, 0, 0, 0, 40, 0, 0, 0, 128, 0, -64, 0, -208, 0, -40, 0, 16, 0, 144, 0, 32, 0, 56, 0, 16, 0, 0, 0, 48, 0, -160, 0, 16, 0, 0, 0, 32, 0, 24, 0, -64, 0, 72, 0, 176, 0, -96, 0, 32, 0, 112, 0, 0, 0, 0, 0, -120, 0, 0, 0, -160, 0, 56, 0, 32, 0, -48, 0, 40, 0, -8, 0, 0, 0, 120, 0, 16, 0, 32, 0, -48, 0, -48, 0, 48, 0, -64, 0, 0, 0, 16, 0, 52, 0, 24, 0, -64, 0, 32, 0, -32, 0, -32, 0, 0, 0, 0, 0, -128, 0, -128, 0, 32, 0, 96, 0, 112, 0, 16, 0, 56, 0, 80, 0, 32, 0, 0, 0, -112, 0, 0, 0, -96, 0, 80, 0, 64, 0, 160, 0, -24, 0, 0, 0, 96, 0, -32, 0, 120, 0, 32, 0, 192, 0, 64, 0, -48, 0, -80, 0, 0, 0, 112, 0, 48, 0, 0, 0, 16, 0, -160, 0, 112, 0, 32, 0, 64, 0, 24, 0, 16, 0, -24, 0, 16, 0, 64, 0, 24, 0, -48, 0, -24, 0, -24, 0, 36, 0, -64, 0, -48, 0, 0, 0, -16, 0, -120, 0, 0, 0, -32, 0, 192, 0, -32, 0, 32, 0, 8, 0, 56, 0, -144, 0, 176, 0, -192, 0, -128, 0, 0, 0, 0, 0, -24, 0, 0, 0, 56, 0, -112, 0, -144, 0, -24, 0, 32, 0, -48, 0, 8, 0, -256, 0, 144, 0, -80, 0, 0, 0, 16, 0, -80, 0, -112, 0, -16, 0, 32, 0, -144, 0, -8, 0, 40, 0, -64, 0, 80, 0, 0, 0, 64, 0, 16, 0, -12, 0, 16, 0, -48, 0, 192, 0, 208, 0, 224, 0, -32, 0, 0, 0, 144, 0, 0, 0, -80, 0, -52, 0, 64, 0, 0, 0, 32, 0, 0, 0, 160, 0, -176, 0, 24, 0, -192, 0, 16, 0, 0, 0, 96, 0, -32, 0, -96, 0, 208, 0, 8, 0, 16, 0, 24, 0, -160, 0, 32, 0, -128, 0, -104, 0, -32, 0, 272, 0, -16, 0, 0, 0, 120, 0, 144, 0, 16, 0, 80, 0, 160, 0, 16, 0, -288, 0, 88, 0, 48, 0, 112, 0, -128, 0, 64, 0, 64, 0, 0, 0, -16, 0, 0, 0, 128, 0, -24, 0, -64, 0, 0, 0, -16, 0, 160, 0, -8, 0, -48, 0, 192, 0, 112, 0, 0, 0, 192, 0, 32, 0, 48, 0, -224, 0, 224, 0, 0, 0, 32, 0, 12, 0, 40, 0, 16, 0, 192, 0, 64, 0, 48, 0, 32, 0, 0, 0, -32, 0, 80, 0, 16, 0, 160, 0, -16, 0, 24, 0, 248, 0, 128, 0, 16, 0, 64, 0, -304, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 890808
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '2184.2.a.v', 'source_level': 2184, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '2184.2.a.v', 'target_level': 2184, 'twist_class_label': '2184.2.a.v', 'twist_class_level': 2184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 890809
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '2184.2.a.v', 'source_level': 2184, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '4368.2.a.bs', 'target_level': 4368, 'twist_class_label': '2184.2.a.v', 'twist_class_level': 2184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 890810
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '2184.2.a.v', 'source_level': 2184, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '6552.2.a.bs', 'target_level': 6552, 'twist_class_label': '2184.2.a.v', 'twist_class_level': 2184, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2481950
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208337032, 'p': 2}
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id: 2481951
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 94575592208337032, 'p': 3}
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id: 2481952
{'charpoly_factorization': [[[4, 24, -15, -2, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 5}
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id: 2481953
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 94575592208337032, 'p': 7}
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id: 2481954
{'charpoly_factorization': [[[48, -112, -34, 3, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 11}
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id: 2481955
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 94575592208337032, 'p': 13}
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id: 2481956
{'charpoly_factorization': [[[16, 20, -36, -3, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 17}
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id: 2481957
{'charpoly_factorization': [[[-16, -160, -45, 4, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 19}
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id: 2481958
{'charpoly_factorization': [[[752, -232, -41, 8, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 23}
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id: 2481959
{'charpoly_factorization': [[[108, 36, -45, -4, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 29}
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id: 2481960
{'charpoly_factorization': [[[-256, 224, -32, -9, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 31}
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id: 2481961
{'charpoly_factorization': [[[16, 20, -36, -3, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 37}
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id: 2481962
{'charpoly_factorization': [[[64, 136, -28, -6, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 41}
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id: 2481963
{'charpoly_factorization': [[[752, -232, -41, 8, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 43}
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id: 2481964
{'charpoly_factorization': [[[-768, 184, 44, -15, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 47}
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id: 2481965
{'charpoly_factorization': [[[3144, 1604, -142, -13, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 53}
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id: 2481966
{'charpoly_factorization': [[[2304, 352, -88, -8, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 59}
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id: 2481967
{'charpoly_factorization': [[[6056, 1844, -230, -9, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 61}
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id: 2481968
{'charpoly_factorization': [[[16064, -32, -260, 0, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 67}
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id: 2481969
{'charpoly_factorization': [[[2304, -352, -88, 8, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 71}
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id: 2481970
{'charpoly_factorization': [[[908, -1004, 319, -32, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 73}
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id: 2481971
{'charpoly_factorization': [[[-832, -624, -118, 1, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 79}
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id: 2481972
{'charpoly_factorization': [[[144, 1072, -78, -13, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 83}
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id: 2481973
{'charpoly_factorization': [[[-328, 212, -22, -7, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 89}
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id: 2481974
{'charpoly_factorization': [[[4328, 1116, -70, -19, 1], 1]], 'hecke_orbit_code': 94575592208337032, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '2184.2.a.v', 'level': 2184, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64801579
{'hecke_orbit_code': 94575592208337032, 'n': 1, 'trace_an': 4}
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id: 64801580
{'hecke_orbit_code': 94575592208337032, 'n': 2, 'trace_an': 0}
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id: 64801581
{'hecke_orbit_code': 94575592208337032, 'n': 3, 'trace_an': -4}
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id: 64801582
{'hecke_orbit_code': 94575592208337032, 'n': 4, 'trace_an': 0}
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id: 64801583
{'hecke_orbit_code': 94575592208337032, 'n': 5, 'trace_an': 2}
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id: 64801584
{'hecke_orbit_code': 94575592208337032, 'n': 6, 'trace_an': 0}
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id: 64801585
{'hecke_orbit_code': 94575592208337032, 'n': 7, 'trace_an': -4}
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id: 64801586
{'hecke_orbit_code': 94575592208337032, 'n': 8, 'trace_an': 0}
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id: 64801587
{'hecke_orbit_code': 94575592208337032, 'n': 9, 'trace_an': 4}
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id: 64801588
{'hecke_orbit_code': 94575592208337032, 'n': 10, 'trace_an': 0}
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id: 64801589
{'hecke_orbit_code': 94575592208337032, 'n': 11, 'trace_an': -3}
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id: 64801590
{'hecke_orbit_code': 94575592208337032, 'n': 12, 'trace_an': 0}
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id: 64801591
{'hecke_orbit_code': 94575592208337032, 'n': 13, 'trace_an': 4}
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id: 64801592
{'hecke_orbit_code': 94575592208337032, 'n': 14, 'trace_an': 0}
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id: 64801593
{'hecke_orbit_code': 94575592208337032, 'n': 15, 'trace_an': -2}
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id: 64801594
{'hecke_orbit_code': 94575592208337032, 'n': 16, 'trace_an': 0}
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id: 64801595
{'hecke_orbit_code': 94575592208337032, 'n': 17, 'trace_an': 3}
-
id: 64801596
{'hecke_orbit_code': 94575592208337032, 'n': 18, 'trace_an': 0}
-
id: 64801597
{'hecke_orbit_code': 94575592208337032, 'n': 19, 'trace_an': -4}
-
id: 64801598
{'hecke_orbit_code': 94575592208337032, 'n': 20, 'trace_an': 0}
-
id: 64801599
{'hecke_orbit_code': 94575592208337032, 'n': 21, 'trace_an': 4}
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id: 64801600
{'hecke_orbit_code': 94575592208337032, 'n': 22, 'trace_an': 0}
-
id: 64801601
{'hecke_orbit_code': 94575592208337032, 'n': 23, 'trace_an': -8}
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id: 64801602
{'hecke_orbit_code': 94575592208337032, 'n': 24, 'trace_an': 0}
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id: 64801603
{'hecke_orbit_code': 94575592208337032, 'n': 25, 'trace_an': 14}
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id: 64801604
{'hecke_orbit_code': 94575592208337032, 'n': 26, 'trace_an': 0}
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id: 64801605
{'hecke_orbit_code': 94575592208337032, 'n': 27, 'trace_an': -4}
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id: 64801606
{'hecke_orbit_code': 94575592208337032, 'n': 28, 'trace_an': 0}
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