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mf_newforms • Show schema
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [400, 1, [351, 101, 177], [1, 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': [[3, [-2, 1]], [7, [-2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777808, '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': '400.2.a.g', 'level': 400, '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, 5], 'level_radical': 10, 'minimal_twist': '40.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}+2q^{7}+q^{9}+4q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/400/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '400.2.a', 'trace_display': [0, 2, 0, 2], 'trace_hash': 1937093388678251015, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.967', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.900', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.693', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, 0, -2, 0, 0, 0, -4, 0, 2, 0, 0, 0, 8, 0, 0, 0, -4, 0, -8, 0, 2, 0, -6, 0, 0, 0, -6, 0, -3, 0, 0, 0, 4, 0, 0, 0, 8, 0, 12, 0, -10, 0, 2, 0, 0, 0, 14, 0, -4, 0, -8, 0, -8, 0, 0, 0, 8, 0, -16, 0, -11, 0, 2, 0, 0, 0, 4, 0, 6, 0, -8, 0, 0, 0, 0, 0, -16, 0, 4, 0, 6, 0, 14, 0, 0, 0, -10, 0, -6, 0, -8, 0, -16, 0, 0, 0, -4, 0, 0, 0, 5, 0, 4, 0, 0, 0, -6, 0, -12, 0, 12, 0, 8, 0, 0, 0, -8, 0, -4, 0, -12, 0, -16, 0, 0, 0, -6, 0, 18, 0, 8, 0, 0, 0, 0, 0, 4, 0, 8, 0, -4, 0, 2, 0, 0, 0, 18, 0, 3, 0, 4, 0, 12, 0, 0, 0, 24, 0, 4, 0, 22, 0, -20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 16, 0, 0, 0, 12, 0, 8, 0, 28, 0, 4, 0, 0, 0, -2, 0, 16, 0, -4, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 6, 0, 0, 0, -2, 0, -6, 0, 16, 0, 24, 0, 0, 0, -32, 0, 16, 0, -22, 0, -10, 0, 0, 0, -16, 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0, 24, 0, 0, 0, 0, 0, 0, 0, -24, 0, -25, 0, 36, 0, 0, 0, 10, 0, -12, 0, 8, 0, -28, 0, 0, 0, 8, 0, 44, 0, 8, 0, -42, 0, 0, 0, -34, 0, -64, 0, -56, 0, -16, 0, 0, 0, -44, 0, -56, 0, 10, 0, 50, 0, 0, 0, 18, 0, -12, 0, -44, 0, -24, 0, 0, 0, 16, 0, 0, 0, 0, 0, -24, 0, 0, 0, 22, 0, 6, 0, -48, 0, 8, 0, 0, 0, 24, 0, 24, 0, -4, 0, 32, 0, 0, 0, 14, 0, 38, 0, -12, 0, -48, 0, 0, 0, 40, 0, -16, 0, 14, 0, -4, 0, 0, 0, 30, 0, 32, 0, -24, 0, 24, 0, 0, 0, 16, 0, -16, 0, -31, 0, -10, 0, 0, 0, 50, 0, 0, 0, 36, 0, -8, 0, 0, 0, -32, 0, 24, 0, -6, 0, 46, 0, 0, 0, -24, 0, 12, 0, 32, 0, -56, 0, 0, 0, 12, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [2], [0], [0], [0], [2], [0], [1], [0], [4], [0], [-4], [0], [0], [0], [0], [0], [4], [0], [4], [0], [-2], [0], [0], [0], [-4], [0], [2], [0], [0], [0], [8], [0], [0], [0], [-4], [0], [-8], [0], [2], [0], [-6], [0], [0], [0], [-6], [0], [-3], [0], [0], [0], [4], [0], [0], [0], [8], [0], [12], [0], [-10], [0], [2], [0], [0], [0], [14], [0], [-4], [0], [-8], [0], [-8], [0], [0], [0], [8], [0], [-16], [0], [-11], [0], [2], [0], [0], [0], [4], [0], [6], [0], [-8], [0], [0], [0], [0], [0], [-16], [0], [4], [0]], 'ap': [[0], [2], [0], [2], [4], [-4], [0], [4], [-2], [2], [0], [-4], [2], [-6], [-6], [4], [12], [-10], [14], [-8], [-8], [-16], [2], [6], [-16], [6], [14], [-10], [-6], [-16], [-6], [12], [-8], [-4], [18], [8], [4], [2], [18], [12], [4], [22], [0], [16], [12], [8], [-4], [6], [-2], [-6], [24], [16], [-22], [20], [0], [30], [-6], [16], [12], [18], [-6], [-28], [-2], [-24], [-8], [-12], [-28], [16], [22], [2], [0], [8], [10], [20], [-20], [6], [-30], [36], [-14], [14], [-12], [-2], [-16], [0], [24], [-6], [6], [24], [-18], [-26], [-18], [-32], [2], [4], [4], [-34], [34], [10], [10], [-2], [-34], [-12], [18], [-18], [20], [-32], [38], [16], [-40], [18], [10], [20], [8], [-4], [40], [-6], [18], [2], [-36], [36], [14], [16], [12], [-38], [-36], [22], [-38], [-16], [18], [-36], [-12], [30], [16], [-52], [-38], [-2], [20], [-2], [-12], [-42], [36], [-18], [-2], [-42], [10], [-24], [-28], [8], [44], [-42], [-44], [10], [50], [18], [22], [-48], [24], [38], [40], [14], [30], [24], [50], [36], [-32], [46], [32], [12]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797777808, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '400.2.a.g', 'level': 400, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 3, 2, 1], 'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, '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': [400, 1, [351, 101, 177], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 43, 'dim': 8, 'eis_dim': 35, 'eis_new_dim': 3, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33554832, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1], 'label': '400.2.a', 'level': 400, '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, 5], 'level_radical': 10, 'mf_dim': 78, 'mf_new_dim': 11, 'num_forms': 8, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 8, 'sturm_bound': 120, 'trace_bound': 7, 'trace_display': [0, -2, 0, -2], 'traces': [8, 0, -2, 0, 0, 0, -2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 4, 0, -4, 0, -4, 0, 10, 0, 0, 0, 4, 0, -8, 0, -12, 0, 0, 0, 0, 0, -8, 0, 20, 0, -8, 0, -18, 0, 0, 0, -2, 0, -12, 0, 24, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 14, 0, 0, 0, 10, 0, 4, 0, -4, 0, 4, 0, 0, 0, 16, 0, -32, 0, -4, 0, -10, 0, 0, 0, -12, 0, 12, 0, -28, 0, -8, 0, 0, 0, 12, 0, -4, 0, 0, 0, 18, 0, 0, 0, -6, 0, 12, 0, -52, 0, -12, 0, 0, 0, -8, 0, 12, 0, -20, 0, -12, 0, 0, 0, -10, 0, -36, 0, 12, 0, 24, 0, 0, 0, -28, 0, -44, 0, -12, 0, -8, 0, 0, 0, 6, 0, 36, 0, 4, 0, 12, 0, 0, 0, 24, 0, 28, 0, 4, 0, 6, 0, 0, 0, 30, 0, 0, 0, 32, 0, -8, 0, 0, 0, 24, 0, 68, 0, 32, 0, -4, 0, 0, 0, 8, 0, -64, 0, 60, 0, -12, 0, 0, 0, -40, 0, 16, 0, 32, 0, 20, 0, 0, 0, -6, 0, 20, 0, 40, 0, -24, 0, 0, 0, -24, 0, -32, 0, 48, 0, -14, 0, 0, 0, -30, 0, 24, 0, 56, 0, 12, 0, 0, 0, 16, 0, 8, 0, -8, 0, 10, 0, 0, 0, -16, 0, 56, 0, -32, 0, -16, 0, 0, 0, 36, 0, 20, 0, -80, 0, -30, 0, 0, 0, 12, 0, -12, 0, -4, 0, 8, 0, 0, 0, -16, 0, -132, 0, 12, 0, 22, 0, 0, 0, 36, 0, -28, 0, -148, 0, 56, 0, 0, 0, 0, 0, 76, 0, -12, 0, -12, 0, 0, 0, -6, 0, -4, 0, -84, 0, -4, 0, 0, 0, 24, 0, 40, 0, 56, 0, 32, 0, 0, 0, -4, 0, 12, 0, -32, 0, 16, 0, 0, 0, 12, 0, -112, 0, -24, 0, -28, 0, 0, 0, -46, 0, -32, 0, 56, 0, -20, 0, 0, 0, -24, 0, -8, 0, -36, 0, 22, 0, 0, 0, -2, 0, 4, 0, 4, 0, -48, 0, 0, 0, -16, 0, 68, 0, 12, 0, -30, 0, 0, 0, 14, 0, 60, 0, 84, 0, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, 8, 0, 0, 0, 24, 0, -8, 0, 88, 0, -40, 0, 0, 0, -8, 0, -60, 0, -52, 0, -18, 0, 0, 0, 12, 0, -64, 0, 76, 0, -4, 0, 0, 0, 8, 0, 96, 0, -60, 0, 30, 0, 0, 0, 12, 0, -72, 0, 28, 0, 40, 0, 0, 0, -36, 0, 84, 0, 24, 0, 26, 0, 0, 0, -22, 0, -28, 0, -116, 0, 32, 0, 0, 0, 24, 0, -160, 0, -40, 0, -24, 0, 0, 0, 6, 0, 8, 0, -124, 0, 40, 0, 0, 0, 24, 0, 8, 0, 132, 0, -30, 0, 0, 0, 18, 0, 80, 0, -116, 0, 16, 0, 0, 0, -16, 0, 132, 0, -52, 0, 6, 0, 0, 0, 8, 0, -44, 0, -96, 0, -24, 0, 0, 0, -24, 0, -72, 0, 8, 0, 20, 0, 0, 0, 34, 0, 100, 0, 64, 0, -16, 0, 0, 0, 16, 0, -12, 0, -12, 0, -2, 0, 0, 0, -58, 0, -24, 0, 124, 0, -24, 0, 0, 0, 20, 0, 88, 0, -4, 0, 24, 0, 0, 0, -54, 0, 24, 0, 108, 0, -36, 0, 0, 0, 16, 0, -176, 0, 96, 0, -22, 0, 0, 0, -34, 0, 88, 0, 132, 0, 40, 0, 0, 0, 12, 0, -152, 0, 16, 0, 12, 0, 0, 0, 0, 0, -72, 0, 68, 0, -32, 0, 0, 0, 24, 0, 188, 0, 60, 0, -34, 0, 0, 0, 54, 0, 96, 0, 96, 0, -8, 0, 0, 0, -20, 0, 60, 0, 76, 0, 24, 0, 0, 0, 28, 0, 60, 0, -80, 0, 28, 0, 0, 0, -40, 0, -76, 0, 100, 0, -18, 0, 0, 0, -28, 0, -56, 0, -120, 0, -48, 0, 0, 0, 48, 0, 108, 0, -52, 0, 16, 0, 0, 0, -12, 0, -88, 0, -152, 0, 56, 0, 0, 0, -48, 0, 112, 0, 68, 0, -28, 0, 0, 0, -2, 0, -16, 0, -108, 0, -8, 0, 0, 0, -32, 0, -144, 0, -112, 0, 42, 0, 0, 0, 54, 0, -124, 0, -52, 0, 0, 0, 0, 0, 32, 0, -8, 0, -52, 0, -52, 0, 0, 0, 32, 0, 68, 0, 204, 0, 72, 0, 0, 0, 8, 0, 100, 0, -160, 0, 24, 0, 0, 0, 34, 0, -12, 0, 92, 0, -8, 0, 0, 0, -24, 0, -12, 0, -144, 0, -24, 0, 0, 0, -36, 0, -72, 0, 84, 0, 40, 0, 0, 0, -8, 0, -124, 0, -60, 0, 42, 0, 0, 0, 18, 0, 20, 0, 84, 0, -36, 0, 0, 0, 16, 0, 72, 0, -56, 0, -12, 0, 0, 0, -42, 0, -24, 0, -68, 0, -88, 0, 0, 0, -12, 0, 4, 0, 16, 0, 18, 0, 0, 0, -38, 0, -56, 0, -196, 0, -44, 0, 0, 0, -72, 0, -196, 0, -4, 0, -2, 0, 0, 0, -2, 0, 12, 0, -136, 0, -40, 0, 0, 0, 24, 0, 168, 0, 72, 0, 40, 0, 0, 0, 2, 0, 144, 0, -228, 0, 64, 0, 0, 0, 48, 0, 144, 0, -56, 0, -24, 0, 0, 0, 2, 0, 76, 0, -36, 0, 24, 0, 0, 0, 60, 0, -260, 0, 88, 0, 12, 0, 0, 0, 10, 0, 16, 0, -12, 0, 12, 0, 0, 0, 0, 0, -68, 0, 40, 0, -6, 0, 0, 0, -58, 0, -108, 0, 144, 0, 56, 0, 0, 0, -20, 0, 180, 0, 156, 0, 18, 0, 0, 0, 24, 0, -132, 0, 148, 0, 16, 0, 0, 0, 16, 0, -64, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 296623
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '40.2.c.a', 'target_level': 40, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296624
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '80.2.c.a', 'target_level': 80, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 296625
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '200.2.a.b', 'target_level': 200, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296626
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '200.2.a.d', 'target_level': 200, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296627
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '320.2.c.b', 'target_level': 320, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 296628
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '320.2.c.c', 'target_level': 320, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 296629
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '360.2.f.c', 'target_level': 360, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 296630
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.2.a.b', 'target_level': 400, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296631
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '400.2.a.g', 'target_level': 400, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 296632
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '720.2.f.e', 'target_level': 720, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296633
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1280.2.f.a', 'target_level': 1280, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 296634
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1280.2.f.b', 'target_level': 1280, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 296635
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1280.2.f.e', 'target_level': 1280, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 296636
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1280.2.f.f', 'target_level': 1280, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 296637
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1600.2.a.d', 'target_level': 1600, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296638
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1600.2.a.f', 'target_level': 1600, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296639
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1600.2.a.u', 'target_level': 1600, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 296640
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1600.2.a.v', 'target_level': 1600, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296641
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1800.2.a.j', 'target_level': 1800, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296642
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1800.2.a.s', 'target_level': 1800, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 296643
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1960.2.g.b', 'target_level': 1960, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 296644
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2880.2.f.h', 'target_level': 2880, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 296645
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2880.2.f.i', 'target_level': 2880, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 296646
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3600.2.a.k', 'target_level': 3600, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296647
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '3600.2.a.bb', 'target_level': 3600, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296648
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '9800.2.a.d', 'target_level': 9800, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 296649
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '400.2.a.g', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9800.2.a.bf', 'target_level': 9800, 'twist_class_label': '40.2.c.a', 'twist_class_level': 40, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 832925
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 2}
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id: 832926
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 3}
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id: 832927
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 5}
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id: 832928
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 7}
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id: 832929
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 11}
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id: 832930
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 13}
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id: 832931
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 17}
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id: 832932
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 19}
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id: 832933
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 23}
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id: 832934
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 29}
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id: 832935
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 31}
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id: 832936
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 37}
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id: 832937
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 41}
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id: 832938
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 43}
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id: 832939
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 47}
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id: 832940
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 53}
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id: 832941
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 59}
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id: 832942
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 61}
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id: 832943
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 67}
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id: 832944
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 71}
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id: 832945
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 73}
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id: 832946
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 79}
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id: 832947
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 83}
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id: 832948
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 89}
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id: 832949
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 27021597797777808, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '400.2.a.g', 'level': 400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 174539000
{'hecke_orbit_code': 27021597797777808, 'n': 1, 'trace_an': 1}
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id: 174539001
{'hecke_orbit_code': 27021597797777808, 'n': 2, 'trace_an': 0}
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id: 174539002
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