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{'Nk2': 30276, 'analytic_conductor': 60.43876928990712, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [29, -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': [7569, 1, [5888, 1684], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 2841328125, 'field_disc_factorization': [[3, 4], [5, 7], [449, 1]], 'field_poly': [1, 24, 2, -43, 0, 23, -3, -4, 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': [[2, [1, -24, 2, 43, 0, -23, -3, 4, 1]], [5, [-29, 86, -33, -72, 45, 17, -13, -1, 1]], [7, [-5, -70, -245, -165, 235, 10, -30, 0, 1]], [19, [-29, 23, 203, -34, -335, -44, 83, -17, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227306385, 'hecke_ring_generator_nbound': 2, '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': '7569.2.a.bd', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'minimal_twist': '841.2.a.i', 'nf_label': '8.8.2841328125.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2})q^{4}+(\\beta _{3}-\\beta _{6})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7569.2.a', 'trace_display': [-4, 0, 1, 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mf_hecke_nf • Show schema
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13, -8, -9], [-22, 3, -13, 1, -10, 7, 2, -5], [17, -10, -14, 11, 36, 11, 17, 5], [-16, -2, 26, 5, 15, 9, 19, 1], [1, -6, -4, 11, 2, 8, -28, -12], [11, -6, -1, -8, -3, -12, 23, -3], [6, 14, 3, 5, 10, -1, 8, -5], [7, 12, 7, 12, -12, 6, 3, -1], [13, -6, -18, 11, 8, -3, 9, -3], [22, -6, 4, 5, 11, 16, -5, -11], [-21, -6, 26, 7, 9, 24, -9, 5], [33, 1, -23, -2, -29, -28, -1, -5], [9, -14, 4, -19, -20, 3, 7, -3], [-22, 4, 31, -5, 25, 12, 1, -4], [-12, 2, 24, 12, -1, -1, -19, -2], [17, 0, -20, 10, -29, -2, 2, 3], [-1, 0, -24, 20, 11, 0, -5, -3], [-26, -1, 19, -8, -18, 11, -28, 5], [-8, -15, 7, -9, 23, 6, 14, -8], [-6, 5, 17, 0, 13, 2, -16, 5], [15, -14, 17, 15, 12, 15, -4, -4], [-37, 9, 12, -1, 4, 10, 5, 17], [14, -15, 3, -8, 7, 11, -7, -22], [5, -4, 2, -1, 13, 0, 21, -3], [29, -35, -13, 5, 13, -5, 0, 0], [18, -13, -3, 0, -15, -8, -18, 8], [-9, 1, -2, -12, 2, -25, -12, -14], [-21, 8, -1, -2, 6, -20, 16, 2], [5, -6, -19, -5, 0, -21, 5, -4], [4, 16, -16, 18, 1, -5, 36, 13], [-29, 8, -7, -2, -12, -11, -2, 15], [-5, 3, 7, -10, -30, 4, -16, -1], [12, -11, 6, -3, -17, -9, 9, 9], [19, -1, -13, -9, -28, -15, -6, -6], [9, -2, -5, 4, -42, -5, 1, 15], [13, 5, -8, -20, 4, -26, 12, -3], [-35, 17, 18, 0, 7, 13, -20, -4], [3, -4, 11, -11, 13, 10, 0, -15], [-25, 14, 0, -10, 10, 0, 7, -1], [-37, 15, 28, -8, -3, 7, -3, 16], [13, 1, -32, 13, -23, -15, 6, 12], [5, 1, -13, -14, -18, -10, -3, 12], [-17, 22, 22, -19, -7, -15, 3, -2], [-40, 13, 5, -14, -5, 5, -1, 15], [-57, 21, 17, 1, -7, -1, -29, -9], [-5, 16, 14, -5, -10, -4, -11, 4], [-27, 0, 30, -23, -12, 11, -30, -2], [30, -4, -12, 0, -12, -10, -5, 9], [12, -7, -23, 24, 5, 6, -12, -17], [5, 11, 4, -2, 28, 23, 39, -7], [-40, 5, 0, 12, 10, 2, 0, 3], [-39, -7, -13, -12, 19, -4, 7, -6], [2, 8, 11, 10, 4, 5, 3, -9], [2, 4, -12, 11, 17, 3, -5, 1], [-1, -13, 27, 4, 13, -1, -16, -4], [24, 17, 1, 3, -1, -11, 20, -3], [-21, 8, 13, -3, 18, -11, 6, -13], [-53, 5, 10, -7, 4, 2, -23, -19], [25, 3, -12, 22, 21, 6, 1, -13], [24, 11, 0, 16, 2, 4, -9, -1], [14, 3, -1, -6, 2, 11, 14, -19], [6, -3, -7, -19, -25, -19, 8, 4], [18, -4, -34, 5, -12, -10, -2, -10], [19, 12, 1, 22, -7, 1, -15, 1], [24, -14, -8, 6, 19, 12, 24, -6], [-20, 8, -13, 19, -4, -2, 5, 5], [43, 5, 0, 7, 4, 7, 8, -23], [-3, 1, -16, -3, 7, -7, 4, -2], [30, 8, 1, 11, -20, -12, 1, -5], [20, 3, -28, 17, -7, -17, 20, -1], [-34, 2, 27, -36, -2, 13, -14, 7], [-7, 9, 4, -12, 28, 5, 41, 4], [-14, 0, -9, -2, 8, -8, 26, -4], [11, -21, -29, 26, -1, 1, -19, -6], [9, -27, -18, 10, -9, -2, 10, -17], [-36, 1, 6, -6, 10, -5, 5, -10], [-21, 9, 19, -29, 34, 8, 26, 1], [-4, -9, -1, 7, 8, 3, -11, 3], [-14, -2, 9, 13, 27, 22, 32, -12], [-45, -14, 38, -18, 7, 2, 3, 13], [36, -15, -1, 3, -32, -6, -8, 7], [41, -2, -9, 19, 14, -14, 29, -11], [10, 2, -1, 0, -36, -18, -24, 0], [2, -8, 26, -2, 3, -8, 6, 2], [-13, -17, 15, 14, -3, 8, -17, -10], [-22, -5, -15, 0, -9, -9, -12, 20], [-11, -12, -5, -7, 7, 4, -12, 7], [2, 7, -9, 2, -24, 6, -4, -6], [35, -4, -3, 25, -3, 7, -4, 0], [-7, 18, -21, -16, -9, -14, 4, 7], [2, 17, 5, 13, -7, 7, 15, -5], [-2, 3, -13, -4, -9, -8, 4, 1], [-4, -18, 2, 3, 13, 2, 17, -2], [68, -3, -14, 13, -24, -25, 5, -3], [0, 5, -18, -1, 12, -15, -11, -18], [-28, 7, -7, 12, 1, -11, -11, -2], [0, -8, 16, 15, 0, 14, 2, -3], [-36, -19, 17, -2, 2, 3, -12, -9], [-14, 23, -1, -5, 3, -8, 7, 7], [9, -15, -6, -15, -25, -20, 7, 20], [35, 11, 0, -7, 7, 5, 11, -12], [21, 2, -38, 10, -27, -19, 17, -2], [-13, -10, -18, 15, 0, -18, -19, -18], [-44, 3, 13, -19, 6, 5, -28, 5], [37, -7, -20, 6, -1, -8, 11, -10], [-19, -13, 18, 9, -29, 7, -52, -16], [12, -9, 8, 1, -11, -1, -12, -1], [4, -1, 3, -10, -3, -4, 31, 10], [-6, -10, -3, 8, -3, -7, 7, 11], [20, 5, -17, 6, -12, 10, -12, 7], [26, 17, -16, 14, -6, 11, 21, 5], [-9, 0, -5, -14, -20, 8, 24, 5], [19, -17, -7, -8, -17, -8, -9, -5], [46, -16, -18, 15, -27, -22, -18, -5], [-23, 17, 6, 3, -24, -7, -13, 17], [-25, 10, 25, 18, -7, 7, -13, 10], [0, -22, 23, -8, 23, 24, 16, -8], [-21, 6, -20, -2, -7, -1, -31, -24], [6, -7, 2, -9, 12, -7, 29, 14], [-7, 14, 12, -1, -3, -11, -13, 16], [1, 11, 9, 5, 28, 29, 18, 1], [6, 0, -10, -9, -5, 9, 34, 3], [7, 11, -3, -9, -1, -23, -6, -2], [22, 2, 20, -3, -19, 2, -8, 8], [38, 17, -26, 33, -7, 0, -1, -12], [-12, -17, 5, 12, -4, 7, -27, -13], [42, -20, -19, 7, -1, -8, -1, -14], [-28, 10, 5, -30, -17, -14, -28, 4], [-3, -2, 5, 11, 5, 5, 10, -3], [-20, 10, 10, -4, -3, -3, -9, -8], [34, -3, -9, -18, 1, -15, 33, 4], [-3, 2, 11, -11, -7, 12, -29, -12], [0, -20, 9, 3, 9, 21, -16, -7], [-26, 4, -10, 1, 19, -4, -8, -16], [2, -9, 31, -6, -18, -13, -16, -8], [-6, -2, -2, 11, 15, 28, -3, -4], [-10, -12, -15, 22, 0, -6, -6, 16], [23, 9, -6, 14, -27, 5, -28, 0], [-30, -4, 30, -22, 1, 2, 8, 23]], 'char_orbit_index': 1, 'field_poly': [1, 24, 2, -43, 0, 23, -3, -4, 1], 'hecke_orbit_code': 130604389227306385, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0, 0, 0], [2, 4, 1, 1, 0, 0, 0, 0], [8, 7, 5, 2, 1, 0, 0, 0], [14, 20, 9, 8, 3, 1, 0, 0], [40, 43, 28, 19, 12, 3, 1, 0], [86, 111, 62, 56, 34, 12, 4, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-2, -1, 1, 0, 0, 0, 0, 0], [0, -3, -1, 1, 0, 0, 0, 0], [2, 4, -3, -2, 1, 0, 0, 0], [-2, 1, 8, -2, -3, 1, 0, 0], [-2, -9, 3, 11, -3, -3, 1, 0], [2, 7, -12, -8, 14, 0, -4, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '7569.2.a.bd', 'level': 7569, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'ALdims': [61, 75, 98, 91], 'Nk2': 30276, 'analytic_conductor': 60.43876928990712, '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': [7569, 1, [5888, 1684], [1, 1]], 'conrey_index': 1, 'cusp_dim': 811, 'dim': 325, 'eis_dim': 119, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 5, 7, 19], 'hecke_orbit_code': 33562001, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 16, 16, 36], 'label': '7569.2.a', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 930, 'mf_new_dim': 352, 'num_forms': 49, 'plus_dim': 152, 'prim_orbit_index': 1, 'relative_dim': 325, 'sturm_bound': 1740, 'trace_bound': 19, 'trace_display': [1, 0, 0, 0], 'traces': [325, 1, 0, 317, 0, 0, 0, -3, 0, 4, -2, 0, 4, -4, 0, 301, 6, 0, 0, -24, 0, 0, 0, 0, 273, 8, 0, -10, 0, 0, -6, 5, 0, -28, -4, 0, 10, 2, 0, 16, 10, 0, 2, -14, 0, 12, -14, 0, 257, 53, 0, 22, 24, 0, -14, 32, 0, 0, 14, 0, 14, 12, 0, 239, -4, 0, -18, 38, 0, 8, -36, 0, -10, -8, 0, -24, -8, 0, 2, -22, 0, 28, -14, 0, 24, 36, 0, -50, -6, 0, 20, 50, 0, 22, -44, 0, -34, -11, 0, 191, -26, 0, -8, -24, 0, -16, -18, 0, 32, -10, 0, -6, 62, 0, -40, 0, 0, -40, 0, 0, 171, 50, 0, 10, -12, 0, -36, 25, 0, 14, 0, 0, 8, -16, 0, -12, 82, 0, 14, -34, 0, -4, 14, 0, 0, 58, 0, -2, -36, 0, -40, -44, 0, -2, 50, 0, -46, -30, 0, 60, -56, 0, 14, -26, 0, -32, -8, 0, 141, 58, 0, 2, 24, 0, -48, -2, 0, -100, 58, 0, 60, -92, 0, 20, 36, 0, 4, -74, 0, -14, 20, 0, -18, -100, 0, 149, -40, 0, -24, 85, 0, 0, 0, 0, 60, 52, 0, 8, 4, 0, 54, 74, 0, -4, 38, 0, 80, -32, 0, -6, -32, 0, 60, 52, 0, -10, -20, 0, -54, 68, 0, 0, 62, 0, -38, -16, 0, -20, -12, 0, 6, 75, 0, -46, -42, 0, 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128, 24, 0, -42, 108, 0, -36, 66, 0, 0, -106, 0, -90, -18, 0, -114, -8, 0, 386, -28, 0, -48, -28, 0, 10, 108, 0, -70, 54, 0, -40, 74, 0, -14, -36, 0, 28, 458, 0, 7, -92, 0, 360, -22, 0, -214, 8, 0, 128, -112, 0, -40, 42, 0, 284, -71, 0, -72, 86, 0, 20, 84, 0, 122, 2, 0, -2, 0, 0, -8, -70, 0, -124, 76, 0, -28, 36, 0, 20, 4, 0, -168, 146, 0, 54, -28, 0, -16, 30, 0, 196, -86, 0, -24, -38, 0, 0, -414, 0, 142, -368, 0, 274, 116, 0, -568, 8, 0, 54, 0, 0, -268, -464, 0, -114, 14, 0, 220, -28, 0, -20, -492, 0, 24, -88, 0, 206, -32, 0, 78, -170, 0, -430, 104, 0, -162, 22, 0, -38, -4, 0, -120, 166, 0, -32, -554, 0, 44, 46, 0, -152, -204, 0, -178, 0, 0, -112, 112, 0, 18, -366, 0, -168, -110, 0, -8, -14, 0, 12, -2, 0, 70, -72, 0, -172, -44, 0, -474, 506, 0, -34, 136, 0, 0, -26, 0, 24, 62, 0, -170, 132, 0, 204, -60, 0, -30, -462, 0, 192, 166, 0, -42, -34, 0, 36, 160, 0, -40, 64, 0, -52, -2, 0, -114, -16, 0, -355, -478, 0, 124, 60, 0, 70, -65, 0, -306, 16, 0, 58, 0, 0, 98, 108, 0, -76, 706, 0, -10, 122, 0, -314, 0, 0, 252, -12, 0, 226, 222, 0, 120, -16, 0, 10, -100, 0, 290], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1354575
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '841.2.a.i', 'target_level': 841, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1354576
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '841.2.a.j', 'target_level': 841, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1354577
{'conductor': 87, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '841.2.b.f', 'target_level': 841, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '87.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1354578
{'conductor': 87, 'degree': 6, 'multiplicity': 6, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 4, 'target_dim': 48, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '841.2.d.p', 'target_level': 841, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '87.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1354579
{'conductor': 87, 'degree': 6, 'multiplicity': 6, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 4, 'target_dim': 48, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '841.2.d.q', 'target_level': 841, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '87.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1354580
{'conductor': 87, 'degree': 12, 'multiplicity': 12, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 5, 'target_dim': 96, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '841.2.e.m', 'target_level': 841, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '87.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1354581
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '7569.2.a.bd', 'target_level': 7569, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1354582
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '7569.2.a.bd', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7569.2.a.bi', 'target_level': 7569, 'twist_class_label': '841.2.a.i', 'twist_class_level': 841, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4512175
{'charpoly_factorization': [[[1, -24, 2, 43, 0, -23, -3, 4, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 2}
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id: 4512176
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 130604389227306385, 'p': 3}
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id: 4512177
{'charpoly_factorization': [[[-29, 86, -33, -72, 45, 17, -13, -1, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 5}
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id: 4512178
{'charpoly_factorization': [[[-5, -70, -245, -165, 235, 10, -30, 0, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 7}
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id: 4512179
{'charpoly_factorization': [[[295, -695, -130, 700, 55, -145, -25, 5, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 11}
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id: 4512180
{'charpoly_factorization': [[[-1769, -2094, 932, 1288, 75, -173, -33, 4, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 13}
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id: 4512181
{'charpoly_factorization': [[[-4799, -3424, 5227, 2418, -935, -503, -33, 9, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 17}
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id: 4512182
{'charpoly_factorization': [[[-29, 23, 203, -34, -335, -44, 83, -17, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 19}
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id: 4512183
{'charpoly_factorization': [[[25681, -59227, -50667, -4649, 3290, 406, -87, -7, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 23}
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id: 4512184
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 130604389227306385, 'p': 29}
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id: 4512185
{'charpoly_factorization': [[[631, 3341, -2703, -1887, 1110, 122, -73, -1, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 31}
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id: 4512186
{'charpoly_factorization': [[[-229709, 161681, 7102, -23307, 2755, 712, -108, -6, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 37}
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id: 4512187
{'charpoly_factorization': [[[210811, -239186, -100488, 21847, 7035, -677, -148, 6, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 41}
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id: 4512188
{'charpoly_factorization': [[[-305, 13470, -1125, -10445, 4555, -180, -125, 5, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 43}
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id: 4512189
{'charpoly_factorization': [[[25111, -89211, -108718, -39113, -2940, 1318, 342, 31, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 47}
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id: 4512190
{'charpoly_factorization': [[[-322349, 229231, 421957, 62488, -13790, -3188, -68, 19, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 53}
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id: 4512191
{'charpoly_factorization': [[[179131, 92326, -75103, -21287, 8335, 347, -178, -1, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 59}
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id: 4512192
{'charpoly_factorization': [[[-365879, -143529, 252017, -46122, -8380, 2097, 7, -21, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 61}
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id: 4512193
{'charpoly_factorization': [[[14622931, 1255098, -1163442, -53014, 30220, 606, -302, -2, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 67}
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id: 4512194
{'charpoly_factorization': [[[2574301, -224257, -495512, -12864, 22570, 1561, -237, -12, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 71}
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id: 4512195
{'charpoly_factorization': [[[1223191, 1425121, 216792, -206797, -62920, -4633, 192, 34, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 73}
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id: 4512196
{'charpoly_factorization': [[[878851, -1210611, 257487, 48812, -19415, 1038, 217, -29, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 79}
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id: 4512197
{'charpoly_factorization': [[[-343139, -822628, -492912, -25381, 26850, 479, -322, -3, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 83}
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id: 4512198
{'charpoly_factorization': [[[-108359, -355996, -406383, -195208, -36240, -1177, 347, 36, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 89}
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id: 4512199
{'charpoly_factorization': [[[3862591, -2346737, -34182, 133771, 795, -2789, -97, 18, 1], 1]], 'hecke_orbit_code': 130604389227306385, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '7569.2.a.bd', 'level': 7569, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68336437
{'hecke_orbit_code': 130604389227306385, 'n': 1, 'trace_an': 8}
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id: 68336438
{'hecke_orbit_code': 130604389227306385, 'n': 2, 'trace_an': -4}
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id: 68336439
{'hecke_orbit_code': 130604389227306385, 'n': 3, 'trace_an': 0}
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id: 68336440
{'hecke_orbit_code': 130604389227306385, 'n': 4, 'trace_an': 6}
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id: 68336441
{'hecke_orbit_code': 130604389227306385, 'n': 5, 'trace_an': 1}
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id: 68336442
{'hecke_orbit_code': 130604389227306385, 'n': 6, 'trace_an': 0}
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id: 68336443
{'hecke_orbit_code': 130604389227306385, 'n': 7, 'trace_an': 0}
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id: 68336444
{'hecke_orbit_code': 130604389227306385, 'n': 8, 'trace_an': -15}
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id: 68336445
{'hecke_orbit_code': 130604389227306385, 'n': 9, 'trace_an': 0}
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id: 68336446
{'hecke_orbit_code': 130604389227306385, 'n': 10, 'trace_an': -3}
-
id: 68336447
{'hecke_orbit_code': 130604389227306385, 'n': 11, 'trace_an': -5}
-
id: 68336448
{'hecke_orbit_code': 130604389227306385, 'n': 12, 'trace_an': 0}
-
id: 68336449
{'hecke_orbit_code': 130604389227306385, 'n': 13, 'trace_an': -4}
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id: 68336450
{'hecke_orbit_code': 130604389227306385, 'n': 14, 'trace_an': -15}
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id: 68336451
{'hecke_orbit_code': 130604389227306385, 'n': 15, 'trace_an': 0}
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id: 68336452
{'hecke_orbit_code': 130604389227306385, 'n': 16, 'trace_an': -2}
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id: 68336453
{'hecke_orbit_code': 130604389227306385, 'n': 17, 'trace_an': -9}
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id: 68336454
{'hecke_orbit_code': 130604389227306385, 'n': 18, 'trace_an': 0}
-
id: 68336455
{'hecke_orbit_code': 130604389227306385, 'n': 19, 'trace_an': 17}
-
id: 68336456
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id: 68336659
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id: 68336660
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id: 68336661
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id: 68336662
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id: 68336663
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id: 68336664
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id: 68336665
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id: 68336666
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id: 68336667
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id: 68336668
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id: 68336669
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id: 68336670
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id: 68336671
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id: 68336672
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id: 68336673
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id: 68336674
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id: 68336675
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id: 68336676
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id: 68336677
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id: 68336678
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id: 68336679
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id: 68336680
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id: 68336681
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id: 68336682
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id: 68336683
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id: 68336684
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id: 68336685
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id: 68336686
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id: 68336687
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id: 68336688
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id: 68336689
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id: 68336690
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id: 68336691
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id: 68336692
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id: 68336693
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id: 68336694
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