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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, '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': [[3, [-1, 1]], [7, [-2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407312, '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.f', 'level': 400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '50.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+2q^{7}-2q^{9}+3q^{11}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/400/f'], '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, 1, 0, 2], 'trace_hash': 457465401429995534, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.994', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.955', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.759', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [1, 0, 1, 0, 0, 0, 2, 0, -2, 0, 3, 0, 4, 0, 0, 0, 3, 0, -5, 0, 2, 0, 6, 0, 0, 0, -5, 0, 0, 0, -2, 0, 3, 0, 0, 0, -2, 0, 4, 0, -3, 0, -4, 0, 0, 0, 12, 0, -3, 0, 3, 0, -6, 0, 0, 0, -5, 0, 0, 0, 2, 0, -4, 0, 0, 0, -13, 0, 6, 0, -12, 0, -11, 0, 0, 0, 6, 0, 10, 0, 1, 0, -9, 0, 0, 0, 0, 0, 15, 0, 8, 0, -2, 0, 0, 0, -2, 0, -6, 0, -18, 0, -4, 0, 0, 0, -3, 0, -10, 0, -2, 0, 9, 0, 0, 0, -8, 0, 6, 0, -2, 0, -3, 0, 0, 0, 2, 0, -4, 0, -12, 0, -10, 0, 0, 0, 3, 0, -5, 0, 12, 0, 12, 0, 0, 0, -3, 0, 0, 0, -2, 0, -6, 0, 0, 0, -2, 0, -6, 0, 12, 0, 11, 0, 0, 0, 12, 0, 3, 0, 10, 0, 24, 0, 0, 0, 0, 0, 15, 0, 2, 0, 2, 0, 0, 0, 9, 0, -10, 0, 18, 0, 19, 0, 0, 0, 18, 0, -20, 0, -13, 0, 0, 0, 0, 0, -12, 0, -15, 0, 13, 0, -12, 0, 0, 0, -4, 0, -11, 0, 12, 0, -4, 0, 0, 0, 12, 0, 20, 0, 6, 0, -6, 0, 0, 0, 10, 0, 0, 0, 17, 0, 16, 0, 0, 0, -20, 0, -9, 0, -27, 0, 18, 0, 0, 0, 18, 0, -4, 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0, 0, -29, 0, -18, 0, 0, 0, -4, 0, 11, 0, -12, 0, -26, 0, 0, 0, 3, 0, -5, 0, -6, 0, -24, 0, 0, 0, -8, 0, 30, 0, -52, 0, 4, 0, 0, 0, 28, 0, -6, 0, -18, 0, 41, 0, 0, 0, 12, 0, 4, 0, 3, 0, -60, 0, 0, 0, 24, 0, 0, 0, -18, 0, -8, 0, 0, 0, -28, 0, 36, 0, -12, 0, -27, 0, 0, 0, -24, 0, 10, 0, 17, 0, -48, 0, 0, 0, 8, 0, 30, 0, 15, 0, 18, 0, 0, 0, 13, 0, -26, 0, 12, 0, -18, 0, 0, 0, -48, 0, -44, 0, -12, 0, 39, 0, 0, 0, 0, 0, 6, 0, -27, 0, 6, 0, 0, 0, 32, 0, -15, 0, 3, 0, -10, 0, 0, 0, -57, 0, 45, 0, 20, 0, 6, 0, 0, 0, 24, 0, -24, 0, 58, 0, -17, 0, 0, 0, 28, 0, 10, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [2], [0], [-2], [0], [3], [0], [4], [0], [0], [0], [3], [0], [-5], [0], [2], [0], [6], [0], [0], [0], [-5], [0], [0], [0], [-2], [0], [3], [0], [0], [0], [-2], [0], [4], [0], [-3], [0], [-4], [0], [0], [0], [12], [0], [-3], [0], [3], [0], [-6], [0], [0], [0], [-5], [0], [0], [0], [2], [0], [-4], [0], [0], [0], [-13], [0], [6], [0], [-12], [0], [-11], [0], [0], [0], [6], [0], [10], [0], [1], [0], [-9], [0], [0], [0], [0], [0], [15], [0], [8], [0], [-2], [0], [0], [0], [-2], [0], [-6], [0]], 'ap': [[0], [1], [0], [2], [3], [4], [3], [-5], [6], [0], [-2], [-2], [-3], [-4], [12], [-6], [0], [2], [-13], [-12], [-11], [10], [-9], [15], [-2], [-18], [-4], [-3], [-10], [9], [2], [-12], [3], [-5], [0], [-2], [-2], [11], [12], [24], [15], [2], [18], [19], [18], [-20], [13], [-4], [12], [20], [-6], [0], [17], [-27], [18], [6], [0], [-2], [-32], [-18], [11], [-6], [17], [18], [-26], [-12], [-17], [13], [-3], [-10], [-6], [-30], [-28], [-26], [25], [6], [30], [28], [-3], [5], [15], [-28], [18], [19], [40], [-9], [-15], [-17], [12], [-4], [12], [-30], [2], [-12], [-20], [36], [-30], [-3], [41], [32], [17], [-12], [-24], [-15], [28], [13], [-33], [9], [-30], [-13], [32], [34], [18], [-20], [-2], [42], [-4], [12], [-6], [-15], [32], [-26], [48], [-39], [-17], [12], [20], [30], [32], [4], [-20], [6], [-32], [-32], [-3], [5], [24], [-28], [-42], [-30], [28], [42], [-4], [-33], [20], [0], [-26], [3], [-5], [-24], [28], [-18], [41], [12], [-28], [-12], [10], [30], [13], [12], [-48], [39], [32], [3], [-57], [6], [58], [28]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170407312, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '400.2.a.f', 'level': 400, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1]], 2, 2], [[[2, -1], [5, -1]], 1, 1], [[[2, 1], [5, -1]], 3, 3], [[[2, -1], [5, 1]], 2, 2]], '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_prime': False, 'level_is_prime_power': 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: 296598
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '50.2.a.a', 'target_level': 50, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296599
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '50.2.a.b', 'target_level': 50, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296600
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '50.2.b.a', 'target_level': 50, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296601
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '400.2.a.d', 'target_level': 400, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296602
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '400.2.a.f', 'target_level': 400, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 296603
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.c.c', 'target_level': 400, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 296604
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.2.a.c', 'target_level': 450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296605
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.2.a.g', 'target_level': 450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 296606
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.2.c.c', 'target_level': 450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 296607
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1600.2.a.i', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296608
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1600.2.a.j', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296609
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1600.2.a.p', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 296610
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1600.2.a.q', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296611
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1600.2.c.h', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 296612
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1600.2.c.i', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 296613
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2450.2.a.g', 'target_level': 2450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 296614
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2450.2.a.bd', 'target_level': 2450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296615
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2450.2.c.m', 'target_level': 2450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 296616
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3600.2.a.l', 'target_level': 3600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296617
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3600.2.a.bc', 'target_level': 3600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296618
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3600.2.f.f', 'target_level': 3600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296619
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6050.2.a.h', 'target_level': 6050, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 296620
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '6050.2.a.bi', 'target_level': 6050, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 296621
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8450.2.a.d', 'target_level': 8450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296622
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.a.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '8450.2.a.v', 'target_level': 8450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 832900
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 2}
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id: 832901
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 3}
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id: 832902
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 5}
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id: 832903
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 7}
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id: 832904
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 11}
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id: 832905
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 13}
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id: 832906
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 17}
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id: 832907
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 19}
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id: 832908
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 23}
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id: 832909
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 29}
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id: 832910
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 31}
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id: 832911
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 37}
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id: 832912
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 41}
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id: 832913
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 43}
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id: 832914
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 47}
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id: 832915
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 53}
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id: 832916
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 59}
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id: 832917
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 61}
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id: 832918
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 67}
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id: 832919
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 71}
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id: 832920
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 73}
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id: 832921
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 79}
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id: 832922
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 83}
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id: 832923
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 89}
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id: 832924
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170407312, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '400.2.a.f', '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: 161969000
{'hecke_orbit_code': 22517998170407312, 'n': 1, 'trace_an': 1}
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id: 161969001
{'hecke_orbit_code': 22517998170407312, 'n': 2, 'trace_an': 0}
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id: 161969002
{'hecke_orbit_code': 22517998170407312, 'n': 3, 'trace_an': 1}
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id: 161969003
{'hecke_orbit_code': 22517998170407312, 'n': 4, 'trace_an': 0}
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id: 161969004
{'hecke_orbit_code': 22517998170407312, 'n': 5, 'trace_an': 0}
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id: 161969005
{'hecke_orbit_code': 22517998170407312, 'n': 6, 'trace_an': 0}
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id: 161969006
{'hecke_orbit_code': 22517998170407312, 'n': 7, 'trace_an': 2}
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id: 161969007
{'hecke_orbit_code': 22517998170407312, 'n': 8, 'trace_an': 0}
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id: 161969008
{'hecke_orbit_code': 22517998170407312, 'n': 9, 'trace_an': -2}
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id: 161969009
{'hecke_orbit_code': 22517998170407312, 'n': 10, 'trace_an': 0}
-
id: 161969010
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