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mf_newforms • Show schema
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{'Nk2': 700, 'analytic_conductor': 1.3973820353724067, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [175, 3, [127, 101], [3, 1]], 'cm_discs': [], 'conrey_index': 51, 'conrey_indexes': [51, 151], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 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, 2, 5, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202543, 'hecke_ring_generator_nbound': 4, '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, 7, 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': '175.2.e.c', 'level': 175, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 7], 'level_radical': 35, 'minimal_twist': '35.2.e.a', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{1}+\\beta _{2})q^{2}+(\\beta _{1}-\\beta _{2}+\\beta _{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '175.2.e', 'trace_display': [2, 2, 0, -2], 'trace_hash': 1602754300945101729, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.899', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.087', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.687', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, 1, 1, 0], [0, 1, -1, 1], [0, 2, 1, 2], [0, 0, 0, 0], [-1, 0, 0, 0], [0, -1, 1, 1], [-3, 0, 0, 1], [0, 2, 0, 0], [0, 0, 0, 0], [0, -2, 2, -2], [-3, 1, -3, 0], [2, 0, 0, -2], [-3, -2, -4, 0], [0, 0, 0, 0], [-3, 0, -3, 0], [0, -2, -2, -2], [0, 2, 4, 2], [0, -2, 0, 0], [0, 0, 0, 0], [3, 0, -1, 2], [2, 0, 0, 0], [-1, 1, -1, 0], [0, -2, 1, -2], [0, 0, 0, 0], [6, 4, 6, 0], [-1, 0, 0, 1], [3, -3, -5, -2], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -6, 0], [0, -1, 3, -1], [6, -4, 6, 0], [6, 0, 0, -4], [0, 0, 0, 0], [-8, 0, 0, 2], [0, 0, 0, 0], [0, -2, -4, -2], [0, 0, 2, 0], [0, 0, 0, 0], [-5, 0, 0, 2], [0, 1, -1, -1], [-5, 0, 0, -1], [6, -2, 6, 0], [0, 0, 0, 0], [0, 0, 1, 0], [2, 0, 2, 0], [-3, 0, 0, -3], [5, -2, 5, -4], [0, 0, 0, 0], [2, 0, 2, 0], [0, 6, 10, 6], [0, -2, 4, -2], [-3, -2, -3, 0], [0, 0, 0, 0], [4, 2, -1, -4], [4, 0, 0, 2], [-1, -1, -1, 0], [0, 6, -4, 6], [0, 0, 0, 0], [3, -6, 3, 0], [6, 0, 0, -6], [-4, 0, -8, 2], [-7, 0, 0, 2], [0, 0, 0, 0], [0, 2, -2, 2], [0, 1, -11, 1], [10, 6, 10, 0], [-3, 0, 0, -2], [0, 0, 0, 0], [-4, 0, 0, -6], [-4, -6, -4, 0], [0, 2, -2, 2], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, -2], [-6, 0, 2, -4], [-2, 0, 0, 2], [-12, -2, -12, 0], [0, 0, 0, 0], [0, 6, -1, 6], [-9, -7, -9, 0], [-1, 0, 0, 9], [1, 6, -4, 4], [0, 0, 0, 0], [-3, -4, -3, 0], [0, -1, 1, -1], [0, 4, -2, 4], [3, 4, 3, 0], [0, 0, 0, 0], [-8, 0, -2, 4], [-3, 0, 0, -1], [-6, 6, -6, 0], [0, 2, 2, 2], [0, 0, 0, 0], [5, -4, 5, 0], [-6, 0, 0, 4], [8, 7, 9, 3], [8, 0, 0, 4], [0, 0, 0, 0]], 'ap': [[1, 1, 1, 0], [0, 1, -1, 1], [0, 0, 0, 0], [0, -1, 1, 1], [0, -2, 2, -2], [2, 0, 0, -2], [0, -2, -2, -2], [0, -2, 0, 0], [-1, 1, -1, 0], [-1, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [-5, 0, 0, 2], [-5, 0, 0, -1], [2, 0, 2, 0], [0, -2, 4, -2], [0, 6, -4, 6], [3, -6, 3, 0], [0, 1, -11, 1], [-4, 0, 0, -6], [0, 2, -2, 2], [-12, -2, -12, 0], [-1, 0, 0, 9], [3, 4, 3, 0], [-6, 0, 0, 4], [0, -8, 1, -8], [-1, -1, -1, 0], [7, 3, 7, 0], [0, -6, -5, -6], [-4, 0, 0, -6], [-2, 0, 0, -8], [8, 8, 8, 0], [0, 4, 4, 4], [-2, 0, 0, 10], [5, -2, 5, 0], [0, 4, 6, 4], [0, -8, -6, -8], [18, -4, 18, 0], [-21, 0, 0, 1], [-8, 8, -8, 0], [0, 0, -10, 0], [-3, 0, 0, -4], [10, 2, 10, 0], [0, 0, 2, 0], [18, 0, 0, 4], [0, -4, -4, -4], [12, 0, 0, -6], [-6, 0, 0, -4], [0, 12, -10, 12], [6, 4, 6, 0], [-14, -2, -14, 0], [-10, 0, 0, 8], [0, 4, 22, 4], [2, 0, 0, 8], [12, -4, 12, 0], [0, 17, 5, 17], [0, 18, -5, 18], [-8, -6, -8, 0], [0, -10, -2, -10], [-2, 0, 0, 20], [0, 0, -14, 0], [16, 0, 0, 0], [9, 0, 0, 3], [0, 2, -16, 2], [-12, 4, -12, 0], [6, -14, 6, 0], [-6, -12, -6, 0], [-12, 0, 0, -2], [0, 5, -15, 5], [-21, 0, 0, -4], [0, 2, 24, 2], [10, 0, 10, 0], [0, -3, 7, -3], [-4, -12, -4, 0], [24, 0, 0, -2], [7, -7, 7, 0], [0, 4, 18, 4], [6, -16, 6, 0], [-19, -8, -19, 0], [0, -14, 5, -14], [-12, 0, 0, -8], [5, 0, 0, -6], [0, 14, -2, 14], [12, 0, 0, 14], [0, 24, 0, 0], [9, 15, 9, 0], [1, 0, 0, -2], [-4, 20, -4, 0], [30, 0, 0, -8], [13, 0, 0, -17], [-13, 7, -13, 0], [0, -4, -30, -4], [0, 4, -10, 4], [-2, 0, 0, -8], [-2, 2, -2, 0], [-11, 0, 0, -19], [-19, 4, -19, 0], [0, 12, -2, 12], [30, 4, 30, 0], [-13, 4, -13, 0], [-15, 0, 0, 7], [0, -20, 6, -20], [0, -9, -29, -9], [-2, -4, -2, 0], [0, -2, 12, -2], [0, 24, 10, 24], [6, 0, 0, -20], [24, -14, 24, 0], [0, -4, 12, -4], [14, 0, 0, -4], [17, 15, 17, 0], [0, -18, -10, -18], [0, 0, 0, 8], [0, -6, 34, -6], [-6, 0, 0, 10], [0, 6, 23, 6], [2, 0, 0, 20], [0, 17, 7, 17], [-22, 2, -22, 0], [24, 0, 0, 2], [0, 2, 29, 2], [-24, 0, 0, 4], [-14, -10, -14, 0], [0, -3, 39, -3], [2, -2, 2, 0], [-23, 0, 0, -14], [-27, 8, -27, 0], [10, -22, 10, 0], [39, 0, 0, 1], [-22, 0, -22, 0], [0, -22, 10, -22], [9, 0, 0, -5], [36, -4, 36, 0], [6, 0, 0, -18], [2, -8, 2, 0], [22, 0, 0, 16], [0, 22, 6, 22], [0, -11, 13, -11], [8, 0, 0, 0], [0, 16, 13, 16], [2, 0, 0, 16], [-14, -24, -14, 0], [0, -5, 5, -5], [5, 0, 0, -15], [0, 8, 18, 8], [18, 0, 0, 2], [-28, 0, 0, -18], [0, -20, -6, -20], [-24, 16, -24, 0], [-1, 11, -1, 0], [28, -2, 28, 0], [-1, 0, 0, -2], [10, 0, 0, 20], [37, -5, 37, 0], [0, 15, -7, 15], [-30, 0, 0, -14], [12, 22, 12, 0], [3, -6, 3, 0], [-12, 0, 0, 16], [0, -20, -18, -20], [-5, 27, -5, 0], [8, 0, 0, -4], [-5, 0, 0, 23], [24, 0, 24, 0], [0, 8, -10, 8], [0, -15, -7, -15], [0, 4, -10, 4], [0, -18, -8, -18]], 'char_orbit_index': 5, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 9007474166202543, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [101, [-1, 0, -1, 0]]], '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, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '175.2.e.c', 'level': 175, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 700, 'analytic_conductor': 1.3973820353724067, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [175, 3, [127, 101], [3, 1]], 'conrey_index': 51, 'cusp_dim': 28, 'dim': 20, 'eis_dim': 24, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461551, 'hecke_orbit_dims': [2, 2, 4, 6, 6], 'label': '175.2.e', 'level': 175, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 7], 'level_radical': 35, 'mf_dim': 52, 'mf_new_dim': 32, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 40, 'trace_bound': 2, 'trace_display': [2, 2, 0, -2], 'traces': [20, 2, 2, -6, 0, -16, -2, -12, -4, 0, 0, -6, 8, 22, 0, 6, 4, -8, -4, 0, -18, 8, -2, 12, 0, -22, -4, 22, -8, 0, -2, -6, 12, -16, 0, 36, 0, 8, -24, 0, -4, 2, -20, 0, 0, 24, 4, -12, 8, 0, -14, -20, -8, 38, 0, -18, 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1}
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mf_twists_nf • Show schema
Hide schema
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id: 145016
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.e.a', 'target_level': 35, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 145017
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.e.a', 'target_level': 35, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 145018
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '175.2.e.c', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 145019
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '175.2.e.c', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 145020
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.k.a', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 145021
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.k.a', 'target_level': 175, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 145022
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '245.2.a.g', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 145023
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '245.2.a.h', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 145024
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.2.e.e', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 145025
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '245.2.e.e', 'target_level': 245, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 145026
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '315.2.j.e', 'target_level': 315, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 145027
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '315.2.j.e', 'target_level': 315, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 145028
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '560.2.q.k', 'target_level': 560, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 145029
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '560.2.q.k', 'target_level': 560, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 145030
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1225.2.a.k', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 145031
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1225.2.a.m', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 145032
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1225.2.b.g', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 145033
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1225.2.b.h', 'target_level': 1225, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 145034
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2205.2.a.n', 'target_level': 2205, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 145035
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2205.2.a.q', 'target_level': 2205, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 145036
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '3920.2.a.bq', 'target_level': 3920, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 145037
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '175.2.e.c', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '3920.2.a.bv', 'target_level': 3920, 'twist_class_label': '35.2.e.a', 'twist_class_level': 35, 'twisting_char_label': '140.s', 'twisting_char_orbit': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 447125
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 2}
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id: 447126
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 3}
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id: 447127
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474166202543, 'p': 5}
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id: 447128
{'charpoly_factorization': [[[49, 14, -3, 2, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 7}
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id: 447129
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 11}
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id: 447130
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 13}
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id: 447131
{'charpoly_factorization': [[[16, 16, 20, -4, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 17}
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id: 447132
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 19}
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id: 447133
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 23}
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id: 447134
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 9007474166202543, 'p': 29}
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id: 447135
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 31}
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id: 447136
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474166202543, 'p': 37}
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id: 447137
{'charpoly_factorization': [[[17, 10, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 41}
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id: 447138
{'charpoly_factorization': [[[23, 10, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 43}
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id: 447139
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 47}
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id: 447140
{'charpoly_factorization': [[[64, 64, 56, 8, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 53}
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id: 447141
{'charpoly_factorization': [[[3136, 448, 120, -8, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 59}
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id: 447142
{'charpoly_factorization': [[[3969, 378, 99, -6, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 61}
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id: 447143
{'charpoly_factorization': [[[14161, -2618, 365, -22, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 67}
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id: 447144
{'charpoly_factorization': [[[-56, 8, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 71}
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id: 447145
{'charpoly_factorization': [[[16, 16, 20, -4, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 73}
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id: 447146
{'charpoly_factorization': [[[18496, 3264, 440, 24, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 79}
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id: 447147
{'charpoly_factorization': [[[-161, 2, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 83}
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id: 447148
{'charpoly_factorization': [[[529, 138, 59, -6, 1], 1]], 'hecke_orbit_code': 9007474166202543, 'p': 89}
-
id: 447149
{'charpoly_factorization': [[[4, 12, 1], 2]], 'hecke_orbit_code': 9007474166202543, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '175.2.e.c', 'level': 175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 117941000
{'hecke_orbit_code': 9007474166202543, 'n': 1, 'trace_an': 4}
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id: 117941001
{'hecke_orbit_code': 9007474166202543, 'n': 2, 'trace_an': 2}
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id: 117941002
{'hecke_orbit_code': 9007474166202543, 'n': 3, 'trace_an': 2}
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id: 117941003
{'hecke_orbit_code': 9007474166202543, 'n': 4, 'trace_an': -2}
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id: 117941004
{'hecke_orbit_code': 9007474166202543, 'n': 5, 'trace_an': 0}
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id: 117941005
{'hecke_orbit_code': 9007474166202543, 'n': 6, 'trace_an': -4}
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id: 117941006
{'hecke_orbit_code': 9007474166202543, 'n': 7, 'trace_an': -2}
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id: 117941007
{'hecke_orbit_code': 9007474166202543, 'n': 8, 'trace_an': -12}
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id: 117941008
{'hecke_orbit_code': 9007474166202543, 'n': 9, 'trace_an': 0}
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id: 117941009
{'hecke_orbit_code': 9007474166202543, 'n': 10, 'trace_an': 0}
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id: 117941010
{'hecke_orbit_code': 9007474166202543, 'n': 11, 'trace_an': -4}
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id: 117941011
{'hecke_orbit_code': 9007474166202543, 'n': 12, 'trace_an': -6}
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id: 117941012
{'hecke_orbit_code': 9007474166202543, 'n': 13, 'trace_an': 8}
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id: 117941013
{'hecke_orbit_code': 9007474166202543, 'n': 14, 'trace_an': -4}
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id: 117941014
{'hecke_orbit_code': 9007474166202543, 'n': 15, 'trace_an': 0}
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id: 117941015
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id: 117941995
{'hecke_orbit_code': 9007474166202543, 'n': 996, 'trace_an': -30}
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id: 117941996
{'hecke_orbit_code': 9007474166202543, 'n': 997, 'trace_an': 16}
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id: 117941997
{'hecke_orbit_code': 9007474166202543, 'n': 998, 'trace_an': -4}
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id: 117941998
{'hecke_orbit_code': 9007474166202543, 'n': 999, 'trace_an': 0}
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id: 117941999
{'hecke_orbit_code': 9007474166202543, 'n': 1000, 'trace_an': 0}