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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, 'conrey_indexes': [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, [1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295748, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '324.2.a.c', 'level': 324, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '36.2.e.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{5}-q^{7}+3q^{11}-q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/324/c'], '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, -1], 'trace_hash': 1043071847732366836, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.983', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.088', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.769', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [1, 0, 0, 0, 3, 0, -1, 0, 0, 0, 3, 0, -1, 0, 0, 0, 6, 0, -4, 0, 0, 0, -3, 0, 4, 0, 0, 0, 3, 0, 5, 0, 0, 0, -3, 0, 2, 0, 0, 0, 3, 0, -1, 0, 0, 0, -9, 0, -6, 0, 0, 0, -6, 0, 9, 0, 0, 0, -3, 0, -13, 0, 0, 0, -3, 0, -7, 0, 0, 0, -12, 0, -10, 0, 0, 0, -3, 0, 11, 0, 0, 0, -9, 0, 18, 0, 0, 0, 6, 0, 1, 0, 0, 0, -12, 0, 11, 0, 0, 0, 15, 0, -7, 0, 0, 0, 12, 0, 2, 0, 0, 0, -9, 0, -9, 0, 0, 0, -6, 0, -2, 0, 0, 0, -3, 0, -16, 0, 0, 0, 21, 0, 4, 0, 0, 0, 3, 0, 5, 0, 0, 0, -3, 0, 9, 0, 0, 0, 15, 0, -13, 0, 0, 0, 15, 0, -13, 0, 0, 0, 3, 0, 20, 0, 0, 0, 9, 0, -12, 0, 0, 0, -9, 0, -4, 0, 0, 0, 12, 0, 2, 0, 0, 0, 6, 0, 18, 0, 0, 0, 15, 0, 11, 0, 0, 0, 6, 0, -4, 0, 0, 0, -3, 0, 9, 0, 0, 0, -12, 0, 17, 0, 0, 0, -3, 0, -5, 0, 0, 0, -6, 0, -1, 0, 0, 0, 27, 0, -13, 0, 0, 0, -6, 0, -27, 0, 0, 0, -27, 0, -1, 0, 0, 0, -18, 0, 4, 0, 0, 0, 12, 0, -9, 0, 0, 0, -9, 0, -2, 0, 0, 0, -21, 0, -18, 0, 0, 0, -6, 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0, 24, 0, -27, 0, 0, 0, 33, 0, 7, 0, 0, 0, 3, 0, 23, 0, 0, 0, 30, 0, -4, 0, 0, 0, 21, 0, 16, 0, 0, 0, 36, 0, 36, 0, 0, 0, 15, 0, -36, 0, 0, 0, 6, 0, 47, 0, 0, 0, -45, 0, -27, 0, 0, 0, -21, 0, -16, 0, 0, 0, 12, 0, 8, 0, 0, 0, 27, 0, 24, 0, 0, 0, 54, 0, -34, 0, 0, 0, -21, 0, -9, 0, 0, 0, 27, 0, 10, 0, 0, 0, 54, 0, 45, 0, 0, 0, -3, 0, -6, 0, 0, 0, 33, 0, -43, 0, 0, 0, 0, 0, -5, 0, 0, 0, -57, 0, 18, 0, 0, 0, 51, 0, 18, 0, 0, 0, 3, 0, 8, 0, 0, 0, -12, 0, -1, 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], [-1], [0], [0], [0], [3], [0], [-1], [0], [0], [0], [6], [0], [-4], [0], [0], [0], [-3], [0], [4], [0], [0], [0], [3], [0], [5], [0], [0], [0], [-3], [0], [2], [0], [0], [0], [3], [0], [-1], [0], [0], [0], [-9], [0], [-6], [0], [0], [0], [-6], [0], [9], [0], [0], [0], [-3], [0], [-13], [0], [0], [0], [-3], [0], [-7], [0], [0], [0], [-12], [0], [-10], [0], [0], [0], [-3], [0], [11], [0], [0], [0], [-9], [0], [18], [0], [0], [0], [6], [0], [1], [0], [0], [0], [-12], [0], [11], [0], [0], [0]], 'ap': [[0], [0], [3], [-1], [3], [-1], [6], [-4], [-3], [3], [5], [2], [3], [-1], [-9], [-6], [-3], [-13], [-7], [-12], [-10], [11], [-9], [6], [11], [15], [-7], [12], [2], [-9], [-16], [21], [3], [5], [15], [-13], [-13], [20], [9], [-9], [12], [2], [15], [11], [6], [-4], [17], [-1], [27], [-13], [-6], [-27], [-1], [12], [-9], [-21], [-6], [8], [-1], [3], [5], [-21], [20], [21], [-1], [-21], [11], [23], [9], [-1], [3], [0], [-13], [-1], [-16], [-15], [15], [2], [3], [23], [9], [35], [24], [-34], [35], [-9], [-18], [-37], [3], [-19], [12], [27], [32], [-3], [5], [-36], [39], [42], [8], [-34], [-13], [-30], [9], [15], [-31], [-10], [15], [6], [-39], [35], [41], [26], [3], [-13], [-16], [-33], [41], [0], [-21], [-21], [11], [11], [15], [-36], [-1], [-6], [-25], [0], [-37], [23], [-16], [9], [-31], [-10], [27], [-1], [18], [-43], [-9], [6], [20], [51], [-19], [-12], [50], [-9], [-13], [27], [41], [24], [23], [30], [-4], [21], [47], [-45], [-16], [27], [-34], [-21], [27], [54], [-43], [0], [-57], [51], [8], [-1]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288295748, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '324.2.a.c', 'level': 324, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 1, 1], [[[2, -1], [3, 1]], 3, 3]], 'ALdims': [0, 0, 3, 1], '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_prime': False, 'level_is_prime_power': 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: 247819
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '36.2.e.a', 'target_level': 36, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 247820
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '108.2.e.a', 'target_level': 108, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 247821
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '144.2.i.a', 'target_level': 144, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 247822
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '324.2.a.a', 'target_level': 324, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247823
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '324.2.a.c', 'target_level': 324, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 247824
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '432.2.i.c', 'target_level': 432, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 247825
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '576.2.i.e', 'target_level': 576, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 247826
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '576.2.i.f', 'target_level': 576, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 247827
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '900.2.i.b', 'target_level': 900, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 247828
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '900.2.s.b', 'target_level': 900, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 247829
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1296.2.a.b', 'target_level': 1296, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247830
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1296.2.a.k', 'target_level': 1296, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247831
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1728.2.i.c', 'target_level': 1728, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 247832
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.2.i.d', 'target_level': 1728, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 247833
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1764.2.i.a', 'target_level': 1764, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 247834
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1764.2.i.c', 'target_level': 1764, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 247835
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1764.2.j.b', 'target_level': 1764, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 247836
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1764.2.l.a', 'target_level': 1764, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 247837
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1764.2.l.c', 'target_level': 1764, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 247838
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.2.i.b', 'target_level': 2700, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 247839
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.2.s.b', 'target_level': 2700, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 247840
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5184.2.a.e', 'target_level': 5184, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247841
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '5184.2.a.f', 'target_level': 5184, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 247842
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '5184.2.a.ba', 'target_level': 5184, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 247843
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '5184.2.a.bb', 'target_level': 5184, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 247844
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5292.2.i.a', 'target_level': 5292, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 247845
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5292.2.i.c', 'target_level': 5292, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 247846
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5292.2.j.a', 'target_level': 5292, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 247847
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5292.2.l.a', 'target_level': 5292, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 247848
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5292.2.l.c', 'target_level': 5292, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 247849
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '8100.2.a.g', 'target_level': 8100, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 247850
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '8100.2.a.j', 'target_level': 8100, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 247851
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '8100.2.d.c', 'target_level': 8100, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 247852
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '324.2.a.c', 'source_level': 324, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8100.2.d.h', 'target_level': 8100, 'twist_class_label': '36.2.e.a', 'twist_class_level': 36, '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: 708400
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 2}
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id: 708401
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 3}
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id: 708402
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 5}
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id: 708403
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 7}
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id: 708404
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 11}
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id: 708405
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 13}
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id: 708406
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 17}
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id: 708407
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 19}
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id: 708408
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 23}
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id: 708409
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 29}
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id: 708410
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 31}
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id: 708411
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 37}
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id: 708412
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 41}
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id: 708413
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 43}
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id: 708414
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 47}
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id: 708415
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 53}
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id: 708416
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 59}
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id: 708417
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 61}
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id: 708418
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 67}
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id: 708419
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 71}
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id: 708420
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 73}
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id: 708421
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 79}
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id: 708422
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 83}
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id: 708423
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 89}
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id: 708424
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 9007199288295748, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '324.2.a.c', '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: 100987000
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{'hecke_orbit_code': 9007199288295748, 'n': 998, 'trace_an': 0}
-
id: 100987998
{'hecke_orbit_code': 9007199288295748, 'n': 999, 'trace_an': 0}
-
id: 100987999
{'hecke_orbit_code': 9007199288295748, 'n': 1000, 'trace_an': 0}