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mf_newforms • Show schema
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{'Nk2': 1296, 'analytic_conductor': 2.5871530254894846, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [324, 1, [163, 245], [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': [[5, [3, 1]], [7, [-2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925252, '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': True, 'label': '324.2.a.b', 'level': 324, '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': [2, 3], 'level_radical': 6, 'minimal_twist': '324.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{5}+2q^{7}+6q^{11}+5q^{13}+3q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/324/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '324.2.a', 'trace_display': [0, 0, -3, 2], 'trace_hash': 182422906880194949, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.892', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.132', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.645', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 0, 0, 0, -3, 0, 2, 0, 0, 0, 6, 0, 5, 0, 0, 0, 3, 0, 2, 0, 0, 0, -6, 0, 4, 0, 0, 0, -3, 0, -4, 0, 0, 0, -6, 0, 5, 0, 0, 0, 6, 0, -10, 0, 0, 0, 0, 0, -3, 0, 0, 0, 6, 0, -18, 0, 0, 0, 12, 0, 5, 0, 0, 0, -15, 0, 2, 0, 0, 0, -6, 0, -1, 0, 0, 0, 12, 0, -10, 0, 0, 0, 0, 0, -9, 0, 0, 0, 3, 0, 10, 0, 0, 0, -6, 0, -10, 0, 0, 0, -6, 0, -16, 0, 0, 0, -12, 0, -7, 0, 0, 0, -9, 0, 18, 0, 0, 0, 6, 0, 25, 0, 0, 0, 3, 0, 2, 0, 0, 0, 6, 0, 4, 0, 0, 0, 15, 0, 8, 0, 0, 0, 30, 0, 9, 0, 0, 0, -15, 0, -4, 0, 0, 0, 12, 0, 5, 0, 0, 0, -12, 0, -4, 0, 0, 0, -18, 0, 12, 0, 0, 0, 9, 0, 8, 0, 0, 0, -12, 0, 14, 0, 0, 0, -15, 0, 18, 0, 0, 0, -6, 0, -25, 0, 0, 0, -15, 0, 20, 0, 0, 0, -6, 0, -18, 0, 0, 0, 12, 0, 14, 0, 0, 0, 30, 0, -8, 0, 0, 0, 15, 0, -10, 0, 0, 0, -18, 0, 5, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 9, 0, 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38, 0, 0, 0, -9, 0, 54, 0, 0, 0, 18, 0, -20, 0, 0, 0, -36, 0, 50, 0, 0, 0, -30, 0, 14, 0, 0, 0, -45, 0, 8, 0, 0, 0, -6, 0, -27, 0, 0, 0, -60, 0, 10, 0, 0, 0, 6, 0, -55, 0, 0, 0, 6, 0, -16, 0, 0, 0, -30, 0, 4, 0, 0, 0, 0, 0, 36, 0, 0, 0, 12, 0, 18, 0, 0, 0, -42, 0, 8, 0, 0, 0, 54, 0, 0, 0, 0, 0, 12, 0, 38, 0, 0, 0, -30, 0, 20, 0, 0, 0, 27, 0, -6, 0, 0, 0, -54, 0, 23, 0, 0, 0, -15, 0, -36, 0, 0, 0, -18, 0, -5, 0, 0, 0, -45, 0, 18, 0, 0, 0, 30, 0, -15, 0, 0, 0, 75, 0, 38, 0, 0, 0, 54, 0, 16, 0, 0, 0, 30, 0, 18, 0, 0, 0, -24, 0, 45, 0, 0, 0, 60, 0, 26, 0, 0, 0, -60, 0, 53, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [-3], [0], [2], [0], [0], [0], [6], [0], [5], [0], [0], [0], [3], [0], [2], [0], [0], [0], [-6], [0], [4], [0], [0], [0], [-3], [0], [-4], [0], [0], [0], [-6], [0], [5], [0], [0], [0], [6], [0], [-10], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [6], [0], [-18], [0], [0], [0], [12], [0], [5], [0], [0], [0], [-15], [0], [2], [0], [0], [0], [-6], [0], [-1], [0], [0], [0], [12], [0], [-10], [0], [0], [0], [0], [0], [-9], [0], [0], [0], [3], [0], [10], [0], [0], [0], [-6], [0], [-10], [0], [0], [0]], 'ap': [[0], [0], [-3], [2], [6], [5], [3], [2], [-6], [-3], [-4], [5], [6], [-10], [0], [6], [12], [5], [2], [-6], [-1], [-10], [0], [3], [-10], [-6], [-16], [-12], [-7], [-9], [2], [6], [15], [8], [-15], [-4], [5], [-4], [-18], [9], [-12], [14], [-6], [-25], [-15], [20], [14], [-10], [-18], [5], [15], [0], [11], [-30], [27], [-24], [-3], [-10], [-10], [15], [-4], [-15], [20], [24], [-25], [-15], [26], [-10], [18], [2], [-30], [18], [32], [14], [-4], [-30], [30], [-7], [15], [35], [0], [29], [-24], [11], [8], [0], [-18], [35], [6], [-4], [-12], [-18], [20], [-6], [-22], [0], [6], [30], [-10], [41], [-40], [-15], [0], [3], [44], [-37], [30], [39], [12], [-1], [-10], [-10], [15], [-40], [-4], [-21], [-40], [-18], [30], [-6], [29], [-1], [-42], [0], [-10], [-39], [-19], [-18], [-10], [14], [-52], [36], [-10], [-10], [-9], [23], [45], [38], [45], [3], [-16], [21], [-4], [30], [38], [18], [14], [-45], [8], [-6], [-55], [6], [-16], [-30], [8], [54], [38], [27], [23], [-15], [-18], [-45], [38], [54], [30], [-24], [26], [53]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660925252, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '324.2.a.b', 'level': 324, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 3, 1], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 6, 6], 'ALdims_old': [7, 9, 9, 8], 'Nk2': 1296, 'analytic_conductor': 2.5871530254894846, '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': [324, 1, [163, 245], [1, 1]], 'conrey_index': 1, 'cusp_dim': 37, 'dim': 4, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33554756, 'hecke_orbit_dims': [1, 1, 1, 1], 'label': '324.2.a', 'level': 324, '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': [2, 3], 'level_radical': 6, 'mf_dim': 72, 'mf_new_dim': 4, 'num_forms': 4, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 4, 'sturm_bound': 108, 'trace_bound': 7, 'trace_display': [0, 0, 0, 2], 'traces': [4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -198, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 110, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 104, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 247803
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '324.2.a.b', 'target_level': 324, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 247804
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '324.2.a.d', 'target_level': 324, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247805
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '324.2.e.a', 'target_level': 324, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 247806
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '324.2.e.d', 'target_level': 324, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 247807
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1296.2.a.a', 'target_level': 1296, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247808
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1296.2.a.j', 'target_level': 1296, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247809
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1296.2.i.d', 'target_level': 1296, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 247810
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1296.2.i.p', 'target_level': 1296, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 247811
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '5184.2.a.d', 'target_level': 5184, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 247812
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '5184.2.a.g', 'target_level': 5184, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 247813
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '5184.2.a.z', 'target_level': 5184, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 247814
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '5184.2.a.bc', 'target_level': 5184, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247815
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8100.2.a.a', 'target_level': 8100, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 247816
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '8100.2.a.f', 'target_level': 8100, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247817
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8100.2.d.a', 'target_level': 8100, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 247818
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '324.2.a.b', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '8100.2.d.j', 'target_level': 8100, 'twist_class_label': '324.2.a.b', 'twist_class_level': 324, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 708375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 2}
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id: 708376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 3}
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id: 708377
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 5}
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id: 708378
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 7}
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id: 708379
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 11}
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id: 708380
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 13}
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id: 708381
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 17}
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id: 708382
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 19}
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id: 708383
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 23}
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id: 708384
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 29}
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id: 708385
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 31}
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id: 708386
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 37}
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id: 708387
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 41}
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id: 708388
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 43}
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id: 708389
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 47}
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id: 708390
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 53}
-
id: 708391
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 59}
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id: 708392
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 61}
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id: 708393
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 67}
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id: 708394
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 71}
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id: 708395
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 73}
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id: 708396
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 79}
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id: 708397
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 83}
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id: 708398
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 89}
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id: 708399
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660925252, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '324.2.a.b', 'level': 324, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 16101846
{'hecke_orbit_code': 4503599660925252, 'n': 1, 'trace_an': 1}
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id: 16101847
{'hecke_orbit_code': 4503599660925252, 'n': 2, 'trace_an': 0}
-
id: 16101848
{'hecke_orbit_code': 4503599660925252, 'n': 3, 'trace_an': 0}
-
id: 16101849
{'hecke_orbit_code': 4503599660925252, 'n': 4, 'trace_an': 0}
-
id: 16101850
{'hecke_orbit_code': 4503599660925252, 'n': 5, 'trace_an': -3}
-
id: 16101851
{'hecke_orbit_code': 4503599660925252, 'n': 6, 'trace_an': 0}
-
id: 16101852
{'hecke_orbit_code': 4503599660925252, 'n': 7, 'trace_an': 2}
-
id: 16101853
{'hecke_orbit_code': 4503599660925252, 'n': 8, 'trace_an': 0}
-
id: 16101854
{'hecke_orbit_code': 4503599660925252, 'n': 9, 'trace_an': 0}
-
id: 16101855
{'hecke_orbit_code': 4503599660925252, 'n': 10, 'trace_an': 0}
-
id: 16101856
{'hecke_orbit_code': 4503599660925252, 'n': 11, 'trace_an': 6}
-
id: 16101857
{'hecke_orbit_code': 4503599660925252, 'n': 12, 'trace_an': 0}
-
id: 16101858
{'hecke_orbit_code': 4503599660925252, 'n': 13, 'trace_an': 5}
-
id: 16101859
{'hecke_orbit_code': 4503599660925252, 'n': 14, 'trace_an': 0}
-
id: 16101860
{'hecke_orbit_code': 4503599660925252, 'n': 15, 'trace_an': 0}
-
id: 16101861
{'hecke_orbit_code': 4503599660925252, 'n': 16, 'trace_an': 0}
-
id: 16101862
{'hecke_orbit_code': 4503599660925252, 'n': 17, 'trace_an': 3}
-
id: 16101863
{'hecke_orbit_code': 4503599660925252, 'n': 18, 'trace_an': 0}
-
id: 16101864
{'hecke_orbit_code': 4503599660925252, 'n': 19, 'trace_an': 2}
-
id: 16101865
{'hecke_orbit_code': 4503599660925252, 'n': 20, 'trace_an': 0}
-
id: 16101866
{'hecke_orbit_code': 4503599660925252, 'n': 21, 'trace_an': 0}
-
id: 16101867
{'hecke_orbit_code': 4503599660925252, 'n': 22, 'trace_an': 0}
-
id: 16101868
{'hecke_orbit_code': 4503599660925252, 'n': 23, 'trace_an': -6}
-
id: 16101869
{'hecke_orbit_code': 4503599660925252, 'n': 24, 'trace_an': 0}
-
id: 16101870
{'hecke_orbit_code': 4503599660925252, 'n': 25, 'trace_an': 4}
-
id: 16101871
{'hecke_orbit_code': 4503599660925252, 'n': 26, 'trace_an': 0}
-
id: 16101872
{'hecke_orbit_code': 4503599660925252, 'n': 27, 'trace_an': 0}
-
id: 16101873
{'hecke_orbit_code': 4503599660925252, 'n': 28, 'trace_an': 0}
-
id: 16101874
{'hecke_orbit_code': 4503599660925252, 'n': 29, 'trace_an': -3}
-
id: 16101875
{'hecke_orbit_code': 4503599660925252, 'n': 30, 'trace_an': 0}
-
id: 16101876
{'hecke_orbit_code': 4503599660925252, 'n': 31, 'trace_an': -4}
-
id: 16101877
{'hecke_orbit_code': 4503599660925252, 'n': 32, 'trace_an': 0}
-
id: 16101878
{'hecke_orbit_code': 4503599660925252, 'n': 33, 'trace_an': 0}
-
id: 16101879
{'hecke_orbit_code': 4503599660925252, 'n': 34, 'trace_an': 0}
-
id: 16101880
{'hecke_orbit_code': 4503599660925252, 'n': 35, 'trace_an': -6}
-
id: 16101881
{'hecke_orbit_code': 4503599660925252, 'n': 36, 'trace_an': 0}
-
id: 16101882
{'hecke_orbit_code': 4503599660925252, 'n': 37, 'trace_an': 5}
-
id: 16101883
{'hecke_orbit_code': 4503599660925252, 'n': 38, 'trace_an': 0}
-
id: 16101884
{'hecke_orbit_code': 4503599660925252, 'n': 39, 'trace_an': 0}
-
id: 16101885
{'hecke_orbit_code': 4503599660925252, 'n': 40, 'trace_an': 0}
-
id: 16101886
{'hecke_orbit_code': 4503599660925252, 'n': 41, 'trace_an': 6}
-
id: 16101887
{'hecke_orbit_code': 4503599660925252, 'n': 42, 'trace_an': 0}
-
id: 16101888
{'hecke_orbit_code': 4503599660925252, 'n': 43, 'trace_an': -10}
-
id: 16101889
{'hecke_orbit_code': 4503599660925252, 'n': 44, 'trace_an': 0}
-
id: 16101890
{'hecke_orbit_code': 4503599660925252, 'n': 45, 'trace_an': 0}
-
id: 16101891
{'hecke_orbit_code': 4503599660925252, 'n': 46, 'trace_an': 0}
-
id: 16101892
{'hecke_orbit_code': 4503599660925252, 'n': 47, 'trace_an': 0}
-
id: 16101893
{'hecke_orbit_code': 4503599660925252, 'n': 48, 'trace_an': 0}
-
id: 16101894
{'hecke_orbit_code': 4503599660925252, 'n': 49, 'trace_an': -3}
-
id: 16101895
{'hecke_orbit_code': 4503599660925252, 'n': 50, 'trace_an': 0}
-
id: 16101896
{'hecke_orbit_code': 4503599660925252, 'n': 51, 'trace_an': 0}
-
id: 16101897
{'hecke_orbit_code': 4503599660925252, 'n': 52, 'trace_an': 0}
-
id: 16101898
{'hecke_orbit_code': 4503599660925252, 'n': 53, 'trace_an': 6}
-
id: 16101899
{'hecke_orbit_code': 4503599660925252, 'n': 54, 'trace_an': 0}
-
id: 16101900
{'hecke_orbit_code': 4503599660925252, 'n': 55, 'trace_an': -18}
-
id: 16101901
{'hecke_orbit_code': 4503599660925252, 'n': 56, 'trace_an': 0}
-
id: 16101902
{'hecke_orbit_code': 4503599660925252, 'n': 57, 'trace_an': 0}
-
id: 16101903
{'hecke_orbit_code': 4503599660925252, 'n': 58, 'trace_an': 0}
-
id: 16101904
{'hecke_orbit_code': 4503599660925252, 'n': 59, 'trace_an': 12}
-
id: 16101905
{'hecke_orbit_code': 4503599660925252, 'n': 60, 'trace_an': 0}
-
id: 16101906
{'hecke_orbit_code': 4503599660925252, 'n': 61, 'trace_an': 5}
-
id: 16101907
{'hecke_orbit_code': 4503599660925252, 'n': 62, 'trace_an': 0}
-
id: 16101908
{'hecke_orbit_code': 4503599660925252, 'n': 63, 'trace_an': 0}
-
id: 16101909
{'hecke_orbit_code': 4503599660925252, 'n': 64, 'trace_an': 0}
-
id: 16101910
{'hecke_orbit_code': 4503599660925252, 'n': 65, 'trace_an': -15}
-
id: 16101911
{'hecke_orbit_code': 4503599660925252, 'n': 66, 'trace_an': 0}
-
id: 16101912
{'hecke_orbit_code': 4503599660925252, 'n': 67, 'trace_an': 2}
-
id: 16101913
{'hecke_orbit_code': 4503599660925252, 'n': 68, 'trace_an': 0}
-
id: 16101914
{'hecke_orbit_code': 4503599660925252, 'n': 69, 'trace_an': 0}
-
id: 16101915
{'hecke_orbit_code': 4503599660925252, 'n': 70, 'trace_an': 0}
-
id: 16101916
{'hecke_orbit_code': 4503599660925252, 'n': 71, 'trace_an': -6}
-
id: 16101917
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