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mf_newforms • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [585, 3, [326, 352, 496], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 406, 'conrey_indexes': [406, 451], 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 2, -1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015017018327625, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '585.2.j.e', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'minimal_twist': '65.2.e.a', 'nf_label': '4.0.225.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2}-\\beta _{3})q^{4}-q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '585.2.j', 'trace_display': [1, 0, -4, -4], 'trace_hash': 630600717349353915, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.107', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.245', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 1, 1, -1], [-1, 0, 0, 0], [0, 0, 0, 0], [0, -2, -2, 3], [-1, 0, -2, 0], [0, 0, 0, 0], [0, -1, 0, 0], [1, 2, 0, 1], [0, 0, 0, 0], [1, 0, 0, 4], [2, 0, 1, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, -4, -4, 1], [0, 0, 0, 0], [0, -2, -2, 3], [0, -1, -1, 1], [0, 0, 0, 0], [0, 3, 3, 2], [5, 2, 0, 5], [0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 4, 0], [0, 0, 0, 0], [5, -3, 0, 5], [-5, 4, 0, -5], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, -1, 5], [0, 0, 0, 0], [4, 0, -3, 0], [0, 2, 2, -3], [0, 0, 0, 0], [-3, 0, 0, -3], [2, 0, 1, 0], [0, 0, 0, 0], [1, 0, 2, 0], [7, -8, 0, 7], [0, 0, 0, 0], [0, 2, 2, -5], [-1, 0, 1, 0], [0, 0, 0, 0], [0, 7, 7, 2], [0, 0, 8, 0], [0, 0, 0, 0], [-6, 8, 0, -6], [0, 1, 0, 0], [0, 0, 0, 0], [4, -3, 1, 3], [-6, 0, 0, 0], [0, 0, 0, 0], [-1, -2, 0, -1], [0, 4, 4, -7], [0, 0, 0, 0], [0, -1, -1, 4], [0, -6, -6, -3], [0, 0, 0, 0], [0, -12, -12, 7], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, -2, 0], [-1, 0, 0, -4], [0, 0, 0, 0], [-1, -6, 0, -1], [5, -1, 0, 5], [0, 0, 0, 0], [-2, 0, -1, 0], [0, -2, -2, 5], [0, 0, 0, 0], [-6, 0, 0, 0], [0, -3, -3, 0], [0, 0, 0, 0], [5, -3, 0, 5], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, -1, -1, -8], [-4, 0, -8, 0], [0, 0, 0, 0], [0, 4, 4, -1], [-2, 0, -3, 0], [0, 0, 0, 0], [3, 4, 0, 3], [-9, 0, 0, -9], [0, 0, 0, 0], [-12, 6, -2, -9], [3, 0, 5, 0], [0, 0, 0, 0], [-8, -8, 0, -8], [0, 2, 2, -3], [0, 0, 0, 0], [0, 4, 4, -1], [0, 2, 2, 8], [0, 0, 0, 0], [0, 1, 1, -1]], 'ap': [[0, 1, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, -2, -2, 3], [1, 2, 0, 1], [1, 0, 0, 4], [0, -4, -4, 1], [0, -2, -2, 3], [5, 2, 0, 5], [-5, 4, 0, -5], [0, 0, 0, 0], [-3, 0, 0, -3], [7, -8, 0, 7], [0, 2, 2, -5], [0, 0, 8, 0], [-6, 0, 0, 0], [0, -6, -6, -3], [0, -12, -12, 7], [-1, -6, 0, -1], [0, -2, -2, 5], [-6, 0, 0, 0], [0, 0, 0, 0], [-4, 0, -8, 0], [-9, 0, 0, -9], [0, 4, 4, -1], [3, 4, 0, 3], [8, 0, 8, 0], [-7, -2, 0, -7], [-2, 0, 0, 0], [0, 4, 4, 1], [3, -2, 0, 3], [12, 0, 0, 0], [0, 4, 4, 1], [0, 6, 6, -13], [0, -4, -4, -7], [8, 0, 0, 0], [-18, 0, 0, 0], [0, -6, -6, 11], [-11, 10, 0, -11], [0, -16, -16, 9], [-7, 2, 0, -7], [6, 0, 0, 0], [0, -10, -10, 21], [1, -4, 0, 1], [3, 0, 0, 3], [0, -6, -6, -5], [7, -10, 0, 7], [3, 6, 0, 3], [0, -2, -2, 5], [6, 0, 16, 0], [6, 0, 16, 0], [16, 0, 16, 0], [0, 0, 0, 15], [0, 2, 2, -19], [15, -4, 0, 15], [5, 2, 0, 5], [0, 4, 4, 9], [-5, -6, 0, -5], [0, -16, -16, 7], [6, 0, 16, 0], [7, -6, 0, 7], [0, -8, -8, 25], [20, 0, 8, 0], [24, 0, 0, 0], [-6, 0, 16, 0], [2, 0, 16, 0], [0, 14, 14, 3], [2, 0, -16, 0], [0, 6, 6, -27], [5, 12, 0, 5], [-17, 4, 0, -17], [-8, 0, -16, 0], [3, 14, 0, 3], [0, -8, -8, 23], [-17, -10, 0, -17], [0, 2, 2, -3], [10, 0, -16, 0], [0, -8, -8, 23], [-1, -16, 0, -1], [0, -16, -16, 15], [9, -14, 0, 9], [6, 0, 0, 0], [21, -10, 0, 21], [0, -4, -4, -17], [19, -6, 0, 19], [4, 0, -8, 0], [0, 8, 8, 1], [9, 12, 0, 9], [0, 12, 12, 9], [16, 0, -8, 0], [-4, 0, -8, 0], [21, -18, 0, 21], [0, -18, -18, 3], [1, 2, 0, 1], [-12, 0, -16, 0], [0, 10, 10, -3], [-21, 20, 0, -21], [-10, 0, -32, 0], [-9, -6, 0, -9], [-18, 0, -16, 0], [4, 0, 24, 0], [-5, 8, 0, -5], [0, 6, 6, -27], [7, -16, 0, 7], [28, 0, 0, 0], [18, 0, 16, 0], [9, -2, 0, 9], [-2, 0, 16, 0], [24, 0, 0, 0], [-39, 8, 0, -39], [0, 6, 6, 3], [-35, 8, 0, -35], [0, -12, -12, 33], [12, 0, 0, 0], [0, 18, 18, -5], [0, 16, 16, 1], [0, -6, -6, -21], [-11, -22, 0, -11], [-21, 0, 0, -21], [0, 2, 2, 45], [29, -20, 0, 29], [17, 12, 0, 17], [-22, 0, 16, 0], [0, -2, -2, -27], [-25, 22, 0, -25], [2, 0, -16, 0], [0, -28, -28, 7], [0, -18, -18, 21], [24, 0, 8, 0], [-34, 0, -16, 0], [-9, 30, 0, -9], [-27, 18, 0, -27], [27, -6, 0, 27], [-3, -16, 0, -3], [0, -8, -8, 33], [-15, 24, 0, -15], [0, 8, 8, 25], [0, -30, -30, 11], [0, 24, 24, -39], [7, 16, 0, 7], [12, 0, 32, 0], [-13, 20, 0, -13], [0, 22, 22, -13], [4, 0, 8, 0], [21, -36, 0, 21], [0, 6, 6, -27], [6, 0, 0, 0], [-26, 0, -16, 0], [12, 0, 16, 0], [0, 0, -24, 0], [0, 40, 40, -9], [15, 0, 0, 15], [-28, 0, -24, 0], [21, -38, 0, 21], [-9, 18, 0, -9], [-48, 0, 0, 0], [0, -6, -6, 43], [0, 8, 8, -15], [-6, 0, 0, 0], [2, 0, 16, 0], [33, -10, 0, 33], [0, 44, 44, -15], [-40, 0, -24, 0], [0, 2, 2, 13], [15, 12, 0, 15], [-24, 0, -24, 0], [43, -6, 0, 43], [0, 16, 16, -9]], 'char_orbit_index': 10, 'field_poly': [1, 1, 2, -1, 1], 'hecke_orbit_code': 18015017018327625, 'hecke_ring_character_values': [[326, [1, 0, 0, 0]], [352, [1, 0, 0, 0]], [496, [0, 0, 0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 1], [-1, 0, 2, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 0, 1], [-1, -2, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '585.2.j.e', 'level': 585, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [585, 3, [326, 352, 496], [3, 3, 1]], 'conrey_index': 406, 'cusp_dim': 152, 'dim': 48, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 618508845641, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 6, 6, 10, 10], 'label': '585.2.j', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 184, 'mf_new_dim': 48, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 168, 'trace_bound': 4, 'trace_display': [0, 0, 0, -6], 'traces': [48, 0, 0, -26, 0, 0, -6, 12, 0, -2, 8, 0, 8, -4, 0, -26, 6, 0, 8, 4, 0, -20, 18, 0, 48, 38, 0, -22, -12, 0, 8, -22, 0, 4, 10, 0, 10, -104, 0, 12, -20, 0, -14, -12, 0, 26, 24, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 400283
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.e.a', 'target_level': 65, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 400284
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.e.a', 'target_level': 65, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 400285
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '325.2.e.b', 'target_level': 325, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 400286
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '325.2.e.b', 'target_level': 325, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '195.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 400287
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '325.2.o.a', 'target_level': 325, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 400288
{'conductor': 195, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '325.2.o.a', 'target_level': 325, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '195.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 400289
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '585.2.j.e', 'target_level': 585, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 400290
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '585.2.j.e', 'target_level': 585, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 400291
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.a.b', 'target_level': 845, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 400292
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.a.e', 'target_level': 845, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 400293
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.c.c', 'target_level': 845, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 400294
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '845.2.e.g', 'target_level': 845, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 400295
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '845.2.e.g', 'target_level': 845, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 400296
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.m.e', 'target_level': 845, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 400297
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.m.e', 'target_level': 845, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 400298
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1040.2.q.n', 'target_level': 1040, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 400299
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1040.2.q.n', 'target_level': 1040, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 400300
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4225.2.a.u', 'target_level': 4225, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '195.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 400301
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '4225.2.a.y', 'target_level': 4225, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '195.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 400302
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '7605.2.a.ba', 'target_level': 7605, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 400303
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '585.2.j.e', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '7605.2.a.bf', 'target_level': 7605, 'twist_class_label': '65.2.e.a', 'twist_class_level': 65, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1084625
{'charpoly_factorization': [[[1, 1, 2, -1, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 2}
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id: 1084626
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015017018327625, 'p': 3}
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id: 1084627
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 18015017018327625, 'p': 5}
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id: 1084628
{'charpoly_factorization': [[[1, -4, 17, 4, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 7}
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id: 1084629
{'charpoly_factorization': [[[1, 4, 17, -4, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 11}
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id: 1084630
{'charpoly_factorization': [[[13, 2, 1], 2]], 'hecke_orbit_code': 18015017018327625, 'p': 13}
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id: 1084631
{'charpoly_factorization': [[[361, 38, 23, -2, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 17}
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id: 1084632
{'charpoly_factorization': [[[1, -4, 17, 4, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 19}
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id: 1084633
{'charpoly_factorization': [[[961, -372, 113, -12, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 23}
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id: 1084634
{'charpoly_factorization': [[[121, -66, 47, 6, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 29}
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id: 1084635
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015017018327625, 'p': 31}
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id: 1084636
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 18015017018327625, 'p': 37}
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id: 1084637
{'charpoly_factorization': [[[5041, 426, 107, -6, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 41}
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id: 1084638
{'charpoly_factorization': [[[121, -88, 53, -8, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 43}
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id: 1084639
{'charpoly_factorization': [[[-64, 8, 1], 2]], 'hecke_orbit_code': 18015017018327625, 'p': 47}
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id: 1084640
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 18015017018327625, 'p': 53}
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id: 1084641
{'charpoly_factorization': [[[81, 108, 153, -12, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 59}
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id: 1084642
{'charpoly_factorization': [[[32041, -358, 183, 2, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 61}
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id: 1084643
{'charpoly_factorization': [[[841, -232, 93, 8, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 67}
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id: 1084644
{'charpoly_factorization': [[[121, 88, 53, 8, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 71}
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id: 1084645
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 18015017018327625, 'p': 73}
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id: 1084646
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015017018327625, 'p': 79}
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id: 1084647
{'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 18015017018327625, 'p': 83}
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id: 1084648
{'charpoly_factorization': [[[81, 9, 1], 2]], 'hecke_orbit_code': 18015017018327625, 'p': 89}
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id: 1084649
{'charpoly_factorization': [[[361, -38, 23, 2, 1], 1]], 'hecke_orbit_code': 18015017018327625, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 5, 'label': '585.2.j.e', 'level': 585, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 159946000
{'hecke_orbit_code': 18015017018327625, 'n': 1, 'trace_an': 4}
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id: 159946001
{'hecke_orbit_code': 18015017018327625, 'n': 2, 'trace_an': 1}
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id: 159946002
{'hecke_orbit_code': 18015017018327625, 'n': 3, 'trace_an': 0}
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id: 159946003
{'hecke_orbit_code': 18015017018327625, 'n': 4, 'trace_an': 1}
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id: 159946004
{'hecke_orbit_code': 18015017018327625, 'n': 5, 'trace_an': -4}
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id: 159946005
{'hecke_orbit_code': 18015017018327625, 'n': 6, 'trace_an': 0}
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id: 159946006
{'hecke_orbit_code': 18015017018327625, 'n': 7, 'trace_an': -4}
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id: 159946007
{'hecke_orbit_code': 18015017018327625, 'n': 8, 'trace_an': 0}
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id: 159946008
{'hecke_orbit_code': 18015017018327625, 'n': 9, 'trace_an': 0}
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id: 159946009
{'hecke_orbit_code': 18015017018327625, 'n': 10, 'trace_an': -1}
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id: 159946010
{'hecke_orbit_code': 18015017018327625, 'n': 11, 'trace_an': 4}
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id: 159946011
{'hecke_orbit_code': 18015017018327625, 'n': 12, 'trace_an': 0}
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id: 159946012
{'hecke_orbit_code': 18015017018327625, 'n': 13, 'trace_an': -4}
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id: 159946013
{'hecke_orbit_code': 18015017018327625, 'n': 14, 'trace_an': 6}
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id: 159946014
{'hecke_orbit_code': 18015017018327625, 'n': 15, 'trace_an': 0}
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id: 159946015
{'hecke_orbit_code': 18015017018327625, 'n': 16, 'trace_an': 3}
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id: 159946016
{'hecke_orbit_code': 18015017018327625, 'n': 17, 'trace_an': 2}
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id: 159946017
{'hecke_orbit_code': 18015017018327625, 'n': 18, 'trace_an': 0}
-
id: 159946018
{'hecke_orbit_code': 18015017018327625, 'n': 19, 'trace_an': -4}
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id: 159946019
{'hecke_orbit_code': 18015017018327625, 'n': 20, 'trace_an': -1}
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id: 159946999
{'hecke_orbit_code': 18015017018327625, 'n': 1000, 'trace_an': 0}