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mf_newforms • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [11, 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': [825, 1, [551, 727, 376], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-3, 0, 1]], [7, [2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037241, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '825.2.a.e', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '165.2.a.b', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}-q^{3}+q^{4}-\\beta q^{6}-2q^{7}-\\beta q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.2.a', 'trace_display': [0, -2, 0, -4], 'trace_hash': 247788781967706182, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.963', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.309', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '60.552', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.044', 'prec': 17}, 'traces': [2, 0, -2, 2, 0, 0, -4, 0, 2, 0, -2, -2, -4, 0, 0, -10, 0, 0, 4, 0, 4, 0, 0, 0, 0, -12, -2, -4, 0, 0, -8, 0, 2, 0, 0, 2, -4, 12, 4, 0, 0, 0, -4, -2, 0, -24, 0, 10, -6, 0, 0, -4, 12, 0, 0, 0, -4, -12, 0, 0, 4, -24, -4, 2, 0, 0, -16, 0, 0, 0, 0, 0, -4, 24, 0, 4, 4, 12, -20, 0, 2, 12, -24, 4, 0, 24, 0, 0, -12, 0, 8, 0, 8, 24, 0, 0, 20, 0, -2, 0, 0, 0, -16, 12, 0, -24, -24, -2, -20, 0, 4, 20, 12, -12, 0, 0, -4, -24, 0, 0, 2, 0, 0, -8, 0, 0, -4, 0, 4, 0, 24, 2, -8, 0, 0, 0, 36, 24, 4, 0, 0, 48, 4, -10, 0, 36, 6, -4, -24, 0, -20, -12, 0, 0, 0, 4, 20, 12, -12, 0, 0, 0, 8, 0, 0, 12, 0, 0, 6, 0, 4, -4, 24, 12, 0, 10, 0, 24, 0, 0, 4, 24, -4, 24, 0, 24, 0, 0, 4, 0, -24, -2, -28, 0, 0, -6, 24, 0, -8, 0, 16, -36, 0, 0, 0, 0, 0, 20, -4, 0, 4, 12, 0, 12, 0, 0, 16, 0, 4, 0, 0, -24, 8, 0, 0, 24, -24, -4, -20, 0, -4, 12, -24, -12, 0, 0, 20, 0, -24, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [-1, 0], [1, 0], [0, 0], [0, -1], [-2, 0], [0, -1], [1, 0], [0, 0], [-1, 0], [-1, 0], [-2, -2], [0, -2], [0, 0], [-5, 0], [0, 0], [0, 1], [2, 2], [0, 0], [2, 0], [0, -1], [0, -4], [0, 1], [0, 0], [-6, -2], [-1, 0], [-2, 0], [0, -2], [0, 0], [-4, -4], [0, -3], [1, 0], [0, 0], [0, 0], [1, 0], [-2, 4], [6, 2], [2, 2], [0, 0], [0, 2], [0, 2], [-2, 4], [-1, 0], [0, 0], [-12, 0], [0, 4], [5, 0], [-3, 0], [0, 0], [0, 0], [-2, -2], [6, -4], [0, -1], [0, 0], [0, 2], [-2, -2], [-6, 0], [0, -4], [0, 0], [2, 0], [-12, -4], [-2, 0], [1, 0], [0, 0], [0, 1], [-8, 0], [0, 0], [0, 4], [0, 0], [0, 8], [0, -1], [-2, 6], [12, -2], [0, 0], [2, 2], [2, 0], [6, 2], [-10, 2], [0, 0], [1, 0], [6, 0], [-12, 2], [2, 0], [0, 0], [12, -2], [0, 2], [0, 1], [-6, 4], [0, 0], [4, 4], [0, -4], [4, 4], [12, 0], [0, 0], [0, 3], [10, 0], [0, -3], [-1, 0], [0, 0]], 'ap': [[0, 1], [-1, 0], [0, 0], [-2, 0], [-1, 0], [-2, -2], [0, 0], [2, 2], [0, -4], [0, -2], [-4, -4], [-2, 4], [0, 2], [-2, 4], [0, 4], [6, -4], [0, -4], [2, 0], [-8, 0], [0, 8], [-2, 6], [-10, 2], [-12, 2], [-6, 4], [10, 0], [0, -6], [-8, 0], [-12, 2], [-10, 0], [6, 4], [-2, -4], [12, 4], [18, 0], [2, 6], [-12, -2], [-10, -6], [10, -4], [4, -8], [0, 6], [12, 0], [0, 4], [2, 8], [-12, -4], [-14, -6], [12, 0], [-4, -12], [2, -6], [4, -8], [-12, -2], [-10, -8], [-12, 0], [-12, 0], [14, -8], [12, -8], [6, 8], [-24, 2], [6, 8], [-22, 6], [-26, -2], [0, 2], [-2, 4], [0, 8], [-14, 0], [12, -4], [-14, -4], [18, 4], [-4, 8], [-2, -18], [-12, -6], [-22, 8], [-6, -4], [0, -12], [-20, 0], [10, 6], [-4, -8], [0, 8], [18, -4], [-2, 0], [6, -8], [14, -12], [24, 4], [2, 0], [-12, 12], [-14, 8], [2, 18], [-12, 0], [-6, -12], [-2, -6], [12, 14], [28, 0], [-12, 4], [12, 0], [4, 16], [-24, -4], [8, 12], [0, -18], [6, 8], [6, 0], [22, 0], [14, 8], [-2, 0], [-24, 12], [0, -6], [-12, 10], [14, -6], [-2, 12], [12, 4], [12, -12], [-24, -8], [2, -20], [-2, 12], [10, 6], [30, 4], [20, 0], [-28, 4], [-6, -4], [4, -24], [0, -16], [-6, -8], [12, -16], [14, 0], [-14, 10], [12, -12], [12, 12], [20, 16], [36, 2], [2, -8], [-12, 4], [-8, 0], [-2, -30], [14, 2], [-36, 6], [20, 4], [-14, -12], [-36, 2], [2, 28], [18, -8], [-2, -12], [18, 20], [-12, -2], [2, 6], [24, -2], [-8, 24], [-12, -6], [2, 16], [36, 12], [-14, 6], [24, 8], [20, -16], [24, 8], [10, 14], [6, -4], [4, 0], [12, -14], [-32, 8], [12, 4], [-22, -6], [-18, 12], [10, 6], [24, 2], [12, 4], [24, -12], [-2, -12], [12, 8], [-6, -24], [-24, 0], [-28, 12], [-38, 6]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 18014398543037241, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '825.2.a.e', 'level': 825, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 6, 2], [[[3, 1], [5, -1], [11, -1]], 3, 1], [[[3, 1], [5, -1], [11, 1]], 5, 2], [[[3, -1], [5, 1], [11, -1]], 1, 1], [[[3, 1], [5, 1], [11, 1]], 3, 2], [[[3, -1], [5, -1], [11, 1]], 4, 2], [[[3, -1], [5, 1], [11, 1]], 4, 2], [[[3, 1], [5, 1], [11, -1]], 6, 2]], 'ALdims': [3, 6, 5, 3, 4, 1, 4, 6], 'Nk2': 3300, 'analytic_conductor': 6.587658166755632, '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': [825, 1, [551, 727, 376], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 109, 'dim': 32, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33555257, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3], 'label': '825.2.a', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 132, 'mf_new_dim': 32, 'num_forms': 14, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 240, 'trace_bound': 7, 'trace_display': [2, -2, 0, -4], 'traces': [32, 2, -2, 36, 0, 4, -4, 18, 32, 0, 0, -6, 0, 20, 0, 52, 12, 2, -8, 0, -16, -2, 0, 12, 0, -44, -2, -4, -12, 0, 12, 18, -2, 8, 0, 36, -16, -4, -16, 0, -20, 12, 4, 8, 0, -8, 8, 2, 12, 0, 0, 56, 16, 4, 0, 36, -20, 0, 32, 0, -20, -32, -4, 76, 0, 4, -8, -52, 16, 0, 24, 18, 24, 4, 0, -20, -4, 16, -4, 0, 32, 0, -16, -36, 0, 20, 0, 6, 16, 0, -4, 0, -8, -64, 0, -12, -16, -70, 0, 0, -68, 28, -32, -140, 0, -28, -32, -6, -84, 0, -28, -12, 40, -44, 0, -44, 0, 0, 48, 0, 32, -60, 16, -16, 0, 20, 44, 10, -32, 0, 72, -6, 32, 0, 0, -104, 40, 16, -28, 0, 32, 32, 8, 52, 0, -12, 14, -32, -52, 0, 48, 12, 12, 12, 0, -52, -32, 4, 36, 0, 56, 2, 0, -36, 0, -112, 0, -4, 4, 0, -8, -44, 44, 20, 0, 0, -24, -4, 96, 0, -76, 16, -4, -24, 0, -8, -4, -24, -16, 0, 88, -22, -32, -196, 0, -76, 44, -2, 84, 0, -12, -96, 8, -56, 0, -176, 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12, -96, -24, -68, 0, 96, -28, -8, -60, 0, -72, -80, 28, -288, 0, 80, 184, -208, -4, 0, 400, -32, 32, -240, 0, -196, 36, -64, -104, 0, -140, -32, -16, -48, 0, -36, -64, -64, 16, 0, 36, 72, 124, -136, 0, -36, 128, 76, -28, 0, 776, 8, 88, 312, 0, 132, -152, -32, 424, 0, 48, -20, 18, 88, 0, -520, -6, -32, 152, 0, 368, -40, 80, 32, 0, -84, 64, -32, 108, 0, -104, 64, -88, -104, 0, 92, 64, -8, -264, 0, -240, -8, 128, -28, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 519734
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '165.2.a.b', 'target_level': 165, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519735
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '495.2.a.c', 'target_level': 495, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519736
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '825.2.a.e', 'target_level': 825, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 519737
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '825.2.c.c', 'target_level': 825, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519738
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1815.2.a.i', 'target_level': 1815, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519739
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2475.2.a.r', 'target_level': 2475, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519740
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2475.2.c.n', 'target_level': 2475, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519741
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2640.2.a.x', 'target_level': 2640, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519742
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '5445.2.a.s', 'target_level': 5445, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519743
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '7920.2.a.bz', 'target_level': 7920, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 519744
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '8085.2.a.bd', 'target_level': 8085, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519745
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.a.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '9075.2.a.bh', 'target_level': 9075, 'twist_class_label': '165.2.a.b', 'twist_class_level': 165, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1375225
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 2}
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id: 1375226
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 3}
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id: 1375227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 5}
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id: 1375228
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 7}
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id: 1375229
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 11}
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id: 1375230
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 13}
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id: 1375231
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 17}
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id: 1375232
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 19}
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id: 1375233
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 23}
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id: 1375234
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 29}
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id: 1375235
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 31}
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id: 1375236
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 37}
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id: 1375237
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 41}
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id: 1375238
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 43}
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id: 1375239
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 47}
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id: 1375240
{'charpoly_factorization': [[[-12, -12, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 53}
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id: 1375241
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 59}
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id: 1375242
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 61}
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id: 1375243
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 67}
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id: 1375244
{'charpoly_factorization': [[[-192, 0, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 71}
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id: 1375245
{'charpoly_factorization': [[[-104, 4, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 73}
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id: 1375246
{'charpoly_factorization': [[[88, 20, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 79}
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id: 1375247
{'charpoly_factorization': [[[132, 24, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 83}
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id: 1375248
{'charpoly_factorization': [[[-12, 12, 1], 1]], 'hecke_orbit_code': 18014398543037241, 'p': 89}
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id: 1375249
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 18014398543037241, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '825.2.a.e', 'level': 825, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 147178000
{'hecke_orbit_code': 18014398543037241, 'n': 1, 'trace_an': 2}
-
id: 147178001
{'hecke_orbit_code': 18014398543037241, 'n': 2, 'trace_an': 0}
-
id: 147178002
{'hecke_orbit_code': 18014398543037241, 'n': 3, 'trace_an': -2}
-
id: 147178003
{'hecke_orbit_code': 18014398543037241, 'n': 4, 'trace_an': 2}
-
id: 147178004
{'hecke_orbit_code': 18014398543037241, 'n': 5, 'trace_an': 0}
-
id: 147178005
{'hecke_orbit_code': 18014398543037241, 'n': 6, 'trace_an': 0}
-
id: 147178006
{'hecke_orbit_code': 18014398543037241, 'n': 7, 'trace_an': -4}
-
id: 147178007
{'hecke_orbit_code': 18014398543037241, 'n': 8, 'trace_an': 0}
-
id: 147178008
{'hecke_orbit_code': 18014398543037241, 'n': 9, 'trace_an': 2}
-
id: 147178009
{'hecke_orbit_code': 18014398543037241, 'n': 10, 'trace_an': 0}
-
id: 147178010
{'hecke_orbit_code': 18014398543037241, 'n': 11, 'trace_an': -2}
-
id: 147178011
{'hecke_orbit_code': 18014398543037241, 'n': 12, 'trace_an': -2}
-
id: 147178012
{'hecke_orbit_code': 18014398543037241, 'n': 13, 'trace_an': -4}
-
id: 147178013
{'hecke_orbit_code': 18014398543037241, 'n': 14, 'trace_an': 0}
-
id: 147178014
{'hecke_orbit_code': 18014398543037241, 'n': 15, 'trace_an': 0}
-
id: 147178015
{'hecke_orbit_code': 18014398543037241, 'n': 16, 'trace_an': -10}
-
id: 147178016
{'hecke_orbit_code': 18014398543037241, 'n': 17, 'trace_an': 0}
-
id: 147178017
{'hecke_orbit_code': 18014398543037241, 'n': 18, 'trace_an': 0}
-
id: 147178018
{'hecke_orbit_code': 18014398543037241, 'n': 19, 'trace_an': 4}
-
id: 147178019
{'hecke_orbit_code': 18014398543037241, 'n': 20, 'trace_an': 0}
-
id: 147178020
{'hecke_orbit_code': 18014398543037241, 'n': 21, 'trace_an': 4}
-
id: 147178021
{'hecke_orbit_code': 18014398543037241, 'n': 22, 'trace_an': 0}
-
id: 147178022
{'hecke_orbit_code': 18014398543037241, 'n': 23, 'trace_an': 0}
-
id: 147178023
{'hecke_orbit_code': 18014398543037241, 'n': 24, 'trace_an': 0}
-
id: 147178024
{'hecke_orbit_code': 18014398543037241, 'n': 25, 'trace_an': 0}
-
id: 147178025
{'hecke_orbit_code': 18014398543037241, 'n': 26, 'trace_an': -12}
-
id: 147178026
{'hecke_orbit_code': 18014398543037241, 'n': 27, 'trace_an': -2}
-
id: 147178027
{'hecke_orbit_code': 18014398543037241, 'n': 28, 'trace_an': -4}
-
id: 147178028
{'hecke_orbit_code': 18014398543037241, 'n': 29, 'trace_an': 0}
-
id: 147178029
{'hecke_orbit_code': 18014398543037241, 'n': 30, 'trace_an': 0}
-
id: 147178030
{'hecke_orbit_code': 18014398543037241, 'n': 31, 'trace_an': -8}
-
id: 147178031
{'hecke_orbit_code': 18014398543037241, 'n': 32, 'trace_an': 0}
-
id: 147178032
{'hecke_orbit_code': 18014398543037241, 'n': 33, 'trace_an': 2}
-
id: 147178033
{'hecke_orbit_code': 18014398543037241, 'n': 34, 'trace_an': 0}
-
id: 147178034
{'hecke_orbit_code': 18014398543037241, 'n': 35, 'trace_an': 0}
-
id: 147178035
{'hecke_orbit_code': 18014398543037241, 'n': 36, 'trace_an': 2}
-
id: 147178036
{'hecke_orbit_code': 18014398543037241, 'n': 37, 'trace_an': -4}
-
id: 147178037
{'hecke_orbit_code': 18014398543037241, 'n': 38, 'trace_an': 12}
-
id: 147178038
{'hecke_orbit_code': 18014398543037241, 'n': 39, 'trace_an': 4}
-
id: 147178039
{'hecke_orbit_code': 18014398543037241, 'n': 40, 'trace_an': 0}
-
id: 147178040
{'hecke_orbit_code': 18014398543037241, 'n': 41, 'trace_an': 0}
-
id: 147178041
{'hecke_orbit_code': 18014398543037241, 'n': 42, 'trace_an': 0}
-
id: 147178042
{'hecke_orbit_code': 18014398543037241, 'n': 43, 'trace_an': -4}
-
id: 147178043
{'hecke_orbit_code': 18014398543037241, 'n': 44, 'trace_an': -2}
-
id: 147178044
{'hecke_orbit_code': 18014398543037241, 'n': 45, 'trace_an': 0}
-
id: 147178045
{'hecke_orbit_code': 18014398543037241, 'n': 46, 'trace_an': -24}
-
id: 147178046
{'hecke_orbit_code': 18014398543037241, 'n': 47, 'trace_an': 0}
-
id: 147178047
{'hecke_orbit_code': 18014398543037241, 'n': 48, 'trace_an': 10}
-
id: 147178048
{'hecke_orbit_code': 18014398543037241, 'n': 49, 'trace_an': -6}
-
id: 147178049
{'hecke_orbit_code': 18014398543037241, 'n': 50, 'trace_an': 0}
-
id: 147178050
{'hecke_orbit_code': 18014398543037241, 'n': 51, 'trace_an': 0}
-
id: 147178051
{'hecke_orbit_code': 18014398543037241, 'n': 52, 'trace_an': -4}
-
id: 147178052
{'hecke_orbit_code': 18014398543037241, 'n': 53, 'trace_an': 12}
-
id: 147178053
{'hecke_orbit_code': 18014398543037241, 'n': 54, 'trace_an': 0}
-
id: 147178054
{'hecke_orbit_code': 18014398543037241, 'n': 55, 'trace_an': 0}
-
id: 147178055
{'hecke_orbit_code': 18014398543037241, 'n': 56, 'trace_an': 0}
-
id: 147178056
{'hecke_orbit_code': 18014398543037241, 'n': 57, 'trace_an': -4}
-
id: 147178057
{'hecke_orbit_code': 18014398543037241, 'n': 58, 'trace_an': -12}
-
id: 147178058
{'hecke_orbit_code': 18014398543037241, 'n': 59, 'trace_an': 0}
-
id: 147178059
{'hecke_orbit_code': 18014398543037241, 'n': 60, 'trace_an': 0}
-
id: 147178060
{'hecke_orbit_code': 18014398543037241, 'n': 61, 'trace_an': 4}
-
id: 147178061
{'hecke_orbit_code': 18014398543037241, 'n': 62, 'trace_an': -24}
-
id: 147178062
{'hecke_orbit_code': 18014398543037241, 'n': 63, 'trace_an': -4}
-
id: 147178063
{'hecke_orbit_code': 18014398543037241, 'n': 64, 'trace_an': 2}
-
id: 147178064
{'hecke_orbit_code': 18014398543037241, 'n': 65, 'trace_an': 0}
-
id: 147178065
{'hecke_orbit_code': 18014398543037241, 'n': 66, 'trace_an': 0}
-
id: 147178066
{'hecke_orbit_code': 18014398543037241, 'n': 67, 'trace_an': -16}
-
id: 147178067
{'hecke_orbit_code': 18014398543037241, 'n': 68, 'trace_an': 0}
-
id: 147178068
{'hecke_orbit_code': 18014398543037241, 'n': 69, 'trace_an': 0}
-
id: 147178069
{'hecke_orbit_code': 18014398543037241, 'n': 70, 'trace_an': 0}
-
id: 147178070
{'hecke_orbit_code': 18014398543037241, 'n': 71, 'trace_an': 0}
-
id: 147178071
{'hecke_orbit_code': 18014398543037241, 'n': 72, 'trace_an': 0}
-
id: 147178072
{'hecke_orbit_code': 18014398543037241, 'n': 73, 'trace_an': -4}
-
id: 147178073
{'hecke_orbit_code': 18014398543037241, 'n': 74, 'trace_an': 24}
-
id: 147178074
{'hecke_orbit_code': 18014398543037241, 'n': 75, 'trace_an': 0}
-
id: 147178075
{'hecke_orbit_code': 18014398543037241, 'n': 76, 'trace_an': 4}
-
id: 147178076
{'hecke_orbit_code': 18014398543037241, 'n': 77, 'trace_an': 4}
-
id: 147178077
{'hecke_orbit_code': 18014398543037241, 'n': 78, 'trace_an': 12}
-
id: 147178078
{'hecke_orbit_code': 18014398543037241, 'n': 79, 'trace_an': -20}
-
id: 147178079
{'hecke_orbit_code': 18014398543037241, 'n': 80, 'trace_an': 0}
-
id: 147178080
{'hecke_orbit_code': 18014398543037241, 'n': 81, 'trace_an': 2}
-
id: 147178081
{'hecke_orbit_code': 18014398543037241, 'n': 82, 'trace_an': 12}
-
id: 147178082
{'hecke_orbit_code': 18014398543037241, 'n': 83, 'trace_an': -24}
-
id: 147178083
{'hecke_orbit_code': 18014398543037241, 'n': 84, 'trace_an': 4}
-
id: 147178084
{'hecke_orbit_code': 18014398543037241, 'n': 85, 'trace_an': 0}
-
id: 147178085
{'hecke_orbit_code': 18014398543037241, 'n': 86, 'trace_an': 24}
-
id: 147178086
{'hecke_orbit_code': 18014398543037241, 'n': 87, 'trace_an': 0}
-
id: 147178087
{'hecke_orbit_code': 18014398543037241, 'n': 88, 'trace_an': 0}
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id: 147178088
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