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mf_newforms • Show schema
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{'Nk2': 260, 'analytic_conductor': 0.5190276131383225, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, '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': [65, 3, [27, 41], [3, 1]], 'cm_discs': [], 'conrey_index': 16, 'conrey_indexes': [16, 61], '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': 1, 'hecke_orbit_code': 274911461441, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '65.2.e.a', 'level': 65, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 13], 'level_radical': 65, 'minimal_twist': '65.2.e.a', 'nf_label': '4.0.225.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{1}q^{2}+(-1+2\\beta _{1}-\\beta _{3})q^{3}+(\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '65.2.e', 'trace_display': [-1, 0, 4, -4], 'trace_hash': 1886225921405357340, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.245', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1408.723', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, -1, 0, 0], [-1, 2, 0, -1], [0, 1, 1, -1], [1, 0, 0, 0], [0, -1, -1, -2], [0, -2, -2, 3], [1, 0, 2, 0], [0, 0, 0, 2], [0, -1, 0, 0], [-1, -2, 0, -1], [-3, 0, -1, 0], [1, 0, 0, 4], [-2, 0, -1, 0], [-1, 2, 0, -1], [0, 3, 0, 0], [0, 4, 4, -1], [0, 0, -2, 0], [0, -2, -2, 3], [0, 1, 1, -1], [7, 0, 4, 0], [0, 3, 3, 2], [-5, -2, 0, -5], [-5, 0, 0, -5], [1, 0, 0, 0], [0, -1, -4, 0], [-1, 0, -2, 0], [5, -3, 0, 5], [5, -4, 0, 5], [0, -1, -1, -2], [0, 0, 0, 0], [0, 1, 1, -5], [0, -4, -4, -3], [4, 0, -3, 0], [0, -2, -2, 3], [2, -2, 0, 2], [-3, 0, 0, -3], [-2, 0, -1, 0], [3, 2, 8, -1], [1, 0, 2, 0], [-7, 8, 0, -7], [4, -3, 0, 4], [0, 2, 2, -5], [1, 0, -1, 0], [0, 0, 0, 2], [0, 7, 7, 2], [0, 0, -8, 0], [0, 3, 3, 6], [-6, 8, 0, -6], [0, -1, 0, 0], [-9, 0, 2, 0], [4, -3, 1, 3], [6, 0, 0, 0], [-2, -1, 0, -2], [-1, -2, 0, -1], [0, -4, -4, 7], [7, 0, 4, 0], [0, -1, -1, 4], [0, 6, 6, 3], [-3, 0, -1, 0], [0, -12, -12, 7], [0, 0, 0, 0], [-6, 4, 0, -6], [1, 0, -2, 0], [1, 0, 0, 4], [-4, 0, 7, 0], [-1, -6, 0, -1], [-5, 1, 0, -5], [0, -12, -12, 1], [-2, 0, -1, 0], [0, 2, 2, -5], [0, -4, -4, 2], [-6, 0, 0, 0], [0, 3, 3, 0], [-1, 2, 0, -1], [5, -3, 0, 5], [-1, 0, 0, 0], [8, 3, -1, 6], [0, 0, 0, 0], [0, 3, 0, 0], [11, 0, 0, 11], [0, -1, -1, -8], [4, 0, 8, 0], [0, 7, 7, -11], [0, 4, 4, -1], [2, 0, 3, 0], [0, 6, 6, -13], [3, 4, 0, 3], [9, 0, 0, 9], [0, 0, -2, 0], [-12, 6, -2, -9], [-3, 0, -5, 0], [0, 0, 0, 0], [-8, -8, 0, -8], [0, -2, -2, 3], [-7, 0, -9, 0], [0, 4, 4, -1], [0, -2, -2, -8], [2, 0, -4, 0], [0, 1, 1, -1]], 'ap': [[0, -1, 0, 0], [-1, 2, 0, -1], [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': 5, 'field_poly': [1, 1, 2, -1, 1], 'hecke_orbit_code': 274911461441, 'hecke_ring_character_values': [[27, [1, 0, 0, 0]], [41, [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': '65.2.e.a', 'level': 65, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 260, 'analytic_conductor': 0.5190276131383225, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [65, 3, [27, 41], [3, 1]], 'conrey_index': 16, 'cusp_dim': 8, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461441, 'hecke_orbit_dims': [4, 4], 'label': '65.2.e', 'level': 65, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 16, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 14, 'trace_bound': 2, 'trace_display': [0, -2, 0, -2], 'traces': [8, 0, -2, -2, 0, 6, -2, -12, 0, -2, 0, -4, -4, -4, 2, 6, -10, 8, 0, 4, 16, 4, -6, -4, 8, -6, -20, 10, 4, 4, -16, 2, 14, -12, -6, 8, -6, 24, 0, 12, -12, 4, 14, 20, -8, -14, 24, -12, 8, 0, -24, 18, 40, -10, -8, -16, 12, -32, -12, 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64, -12, 18, -110, -88, -114, -40, 8, 36, 28, -172, -50, 20, -104, -26, 4, 0, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 56792
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 56793
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 56794
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 56795
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 56796
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 56797
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 56798
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 56799
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 56800
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 56801
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 56802
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 56803
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 56804
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 56805
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 56806
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 56807
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 56808
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 56809
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 56810
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 56811
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 56812
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '65.2.e.a', 'source_level': 65, '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': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 211575
{'charpoly_factorization': [[[1, -1, 2, 1, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 2}
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id: 211576
{'charpoly_factorization': [[[25, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 3}
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id: 211577
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 274911461441, 'p': 5}
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id: 211578
{'charpoly_factorization': [[[1, -4, 17, 4, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 7}
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id: 211579
{'charpoly_factorization': [[[1, -4, 17, 4, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 11}
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id: 211580
{'charpoly_factorization': [[[13, 2, 1], 2]], 'hecke_orbit_code': 274911461441, 'p': 13}
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id: 211581
{'charpoly_factorization': [[[361, -38, 23, 2, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 17}
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id: 211582
{'charpoly_factorization': [[[1, -4, 17, 4, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 19}
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id: 211583
{'charpoly_factorization': [[[961, 372, 113, 12, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 23}
-
id: 211584
{'charpoly_factorization': [[[121, 66, 47, -6, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 29}
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id: 211585
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 274911461441, 'p': 31}
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id: 211586
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 274911461441, 'p': 37}
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id: 211587
{'charpoly_factorization': [[[5041, -426, 107, 6, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 41}
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id: 211588
{'charpoly_factorization': [[[121, -88, 53, -8, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 43}
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id: 211589
{'charpoly_factorization': [[[-64, -8, 1], 2]], 'hecke_orbit_code': 274911461441, 'p': 47}
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id: 211590
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 274911461441, 'p': 53}
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id: 211591
{'charpoly_factorization': [[[81, -108, 153, 12, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 59}
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id: 211592
{'charpoly_factorization': [[[32041, -358, 183, 2, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 61}
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id: 211593
{'charpoly_factorization': [[[841, -232, 93, 8, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 67}
-
id: 211594
{'charpoly_factorization': [[[121, -88, 53, -8, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 71}
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id: 211595
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 274911461441, 'p': 73}
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id: 211596
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 274911461441, 'p': 79}
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id: 211597
{'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 274911461441, 'p': 83}
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id: 211598
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 274911461441, 'p': 89}
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id: 211599
{'charpoly_factorization': [[[361, -38, 23, 2, 1], 1]], 'hecke_orbit_code': 274911461441, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '65.2.e.a', 'level': 65, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 28821000
{'hecke_orbit_code': 274911461441, 'n': 1, 'trace_an': 4}
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id: 28821001
{'hecke_orbit_code': 274911461441, 'n': 2, 'trace_an': -1}
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id: 28821002
{'hecke_orbit_code': 274911461441, 'n': 3, 'trace_an': 0}
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id: 28821003
{'hecke_orbit_code': 274911461441, 'n': 4, 'trace_an': 1}
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id: 28821004
{'hecke_orbit_code': 274911461441, 'n': 5, 'trace_an': 4}
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id: 28821005
{'hecke_orbit_code': 274911461441, 'n': 6, 'trace_an': 5}
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id: 28821006
{'hecke_orbit_code': 274911461441, 'n': 7, 'trace_an': -4}
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id: 28821007
{'hecke_orbit_code': 274911461441, 'n': 8, 'trace_an': 0}
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id: 28821008
{'hecke_orbit_code': 274911461441, 'n': 9, 'trace_an': -4}
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id: 28821009
{'hecke_orbit_code': 274911461441, 'n': 10, 'trace_an': -1}
-
id: 28821010
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