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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, 'atkin_lehner_eigenvals': [[5, 1], [7, -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': [175, 1, [127, 101], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-4, -1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407087, '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': '175.2.a.f', '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.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+(1-\\beta )q^{3}+(2+\\beta )q^{4}-4q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '175.2.a', 'trace_display': [1, 1, 0, 2], 'trace_hash': 234956623950946823, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.342', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.722', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.858', 'prec': 17}, {'__RealLiteral__': 0, 'data': '68.273', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, 'traces': [2, 1, 1, 5, 0, -8, 2, 9, 3, 0, 1, -6, -5, 1, 0, 3, 5, -7, -6, 0, 1, -8, 2, -4, 0, 6, 7, 5, 1, 0, 0, 9, 9, -6, 0, -1, -12, -20, -11, 0, 2, -8, -10, -6, 0, -16, 5, -24, 2, 0, 11, -4, 2, 12, 0, 9, 14, 26, -8, 0, 6, 0, 3, 7, 0, -4, -4, 4, 18, 0, 16, 5, 8, -6, 0, -32, 1, 20, -9, 0, -14, 18, -8, -6, 0, 12, -25, -4, 6, 0, -5, -12, 0, 28, 0, -4, 9, 1, 10, 0, -16, -20, -7, -14, 0, 18, -2, 26, 23, 0, -6, 3, 28, 24, 0, 28, -16, -4, 5, 0, -13, 54, -16, 0, 0, -7, -4, -23, -22, 0, -10, 14, -6, -36, 0, 14, 26, -8, -22, 0, -23, 8, -11, -21, 0, 38, 1, -30, 8, 0, 15, -44, 16, -8, 0, -2, -24, 4, -16, 0, 2, -7, 6, 22, 0, -4, -15, -4, -5, 0, 8, -8, 13, -4, 0, -24, -4, -14, 40, 0, 6, 6, -48, -8, 0, 0, 11, 38, 7, 0, -23, 12, -14, -38, 0, 5, 6, -12, -20, 0, 32, -42, 1, 2, 0, -12, 20, 18, 14, 0, -9, 22, 8, -52, 0, 40, 0, -14, -30, 0, -21, 48, 9, 9, 0, 14, -35, 52, 30, 0, 9, 30, -2, 26, 0, -20, 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60, -112, -41, -72, 0, 48, -23, 12, -44, 0, -8, 0, 12, 8, 0, 24, -7, 112, -42, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [1, -1], [2, 1], [0, 0], [-4, 0], [1, 0], [4, 1], [2, -1], [0, 0], [1, -1], [-2, -2], [-3, 1], [0, 1], [0, 0], [0, 3], [3, -1], [-4, 1], [-2, -2], [0, 0], [1, -1], [-4, 0], [2, -2], [0, -4], [0, 0], [4, -2], [3, 1], [2, 1], [-1, 3], [0, 0], [0, 0], [4, 1], [5, -1], [-4, 2], [0, 0], [0, -1], [-6, 0], [-8, -4], [-7, 3], [0, 0], [0, 2], [-4, 0], [-6, 2], [-2, -2], [0, 0], [-8, 0], [1, 3], [-12, 0], [1, 0], [0, 0], [7, -3], [-2, 0], [0, 2], [4, 4], [0, 0], [4, 1], [6, 2], [12, 2], [-4, 0], [0, 0], [0, 6], [0, 0], [2, -1], [4, -1], [0, 0], [-4, 4], [0, -4], [2, 0], [10, -2], [0, 0], [8, 0], [4, -3], [2, 4], [0, -6], [0, 0], [-12, -8], [1, -1], [12, -4], [-5, 1], [0, 0], [-7, 0], [8, 2], [-4, 0], [-2, -2], [0, 0], [8, -4], [-13, 1], [0, -4], [4, -2], [0, 0], [-3, 1], [-4, -4], [0, 0], [12, 4], [0, 0], [0, -4], [7, -5], [0, 1], [6, -2], [0, 0]], 'ap': [[0, 1], [1, -1], [0, 0], [1, 0], [1, -1], [-3, 1], [3, -1], [-2, -2], [2, -2], [-1, 3], [0, 0], [-6, 0], [0, 2], [-6, 2], [1, 3], [0, 2], [-4, 0], [0, 6], [0, -4], [8, 0], [2, 4], [-5, 1], [-4, 0], [4, -2], [7, -5], [-6, -4], [-3, -1], [2, -6], [13, -3], [14, 0], [-4, 4], [-6, 2], [12, 2], [-10, -2], [2, 4], [11, -7], [-10, -4], [2, 2], [-11, 7], [7, -1], [20, 0], [8, -10], [-11, -1], [-4, -6], [4, -2], [-12, 4], [-9, 9], [5, -1], [-19, 3], [16, -2], [0, -2], [7, 5], [6, -4], [-14, 2], [-10, 8], [18, -2], [10, -12], [-16, 0], [-10, 4], [15, -1], [19, -3], [-5, 3], [27, -3], [6, 10], [-11, 13], [10, -8], [12, 0], [22, -8], [-2, -2], [-10, 8], [7, -5], [8, 0], [1, 3], [-20, 6], [4, -8], [4, -4], [-7, -7], [-25, -1], [29, 1], [-14, 8], [16, 4], [5, -3], [-7, -5], [2, -4], [-6, 6], [18, -6], [11, -5], [12, 2], [-8, -2], [8, -8], [-25, 1], [10, -2], [-2, 2], [-13, -11], [13, 11], [-21, -7], [-22, 4], [10, 0], [-20, -8], [-25, -5], [-8, 4], [8, 2], [28, 0], [10, -16], [20, 8], [1, 9], [16, 4], [25, 1], [1, -5], [-14, 8], [19, 9], [-10, -12], [-22, -4], [-14, 18], [1, -5], [2, 0], [1, -1], [-16, -8], [-18, 20], [-19, 11], [0, -2], [4, -14], [13, -7], [-24, 12], [-4, -8], [11, 7], [-1, 11], [34, -10], [-32, -8], [1, -3], [17, 7], [-8, 16], [35, -7], [-24, -6], [38, 4], [-22, -8], [-19, -7], [21, 11], [-1, -9], [-27, 17], [-6, 10], [17, -15], [16, 8], [-10, 6], [40, -2], [-34, 2], [38, -12], [26, -4], [4, -8], [36, -4], [30, 4], [24, -14], [-12, 8], [0, -8], [-22, 18], [-8, -8], [7, 13], [-24, 18], [7, 19], [8, 14], [-4, 0], [28, 2], [30, 2], [-12, 24], [18, -20], [-13, -15], [-8, 8], [-5, 3]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 22517998170407087, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '175.2.a.f', 'level': 175, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [7, -1]], 1, 1], [[[5, -1], [7, 1]], 3, 2], [[[5, 1], [7, -1]], 4, 2], [[[5, 1], [7, 1]], 1, 1]], 'ALdims': [1, 4, 3, 1], 'Nk2': 700, 'analytic_conductor': 1.3973820353724067, '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': [175, 1, [127, 101], [1, 1]], 'conrey_index': 1, 'cusp_dim': 15, 'dim': 9, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554607, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2], 'label': '175.2.a', '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': 26, 'mf_new_dim': 9, 'num_forms': 6, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 40, 'trace_bound': 3, 'trace_display': [1, 0, 0, 1], 'traces': [9, 1, 0, 5, 0, 4, 1, 9, 9, 0, 0, -4, -10, -1, 0, -7, 2, -7, 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0, 40, 14, 0, -88, 30, 112, -192, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 144889
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '35.2.a.b', 'target_level': 35, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 144890
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '175.2.a.f', 'target_level': 175, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 144891
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.2.b.b', 'target_level': 175, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 144892
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '245.2.a.d', 'target_level': 245, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 144893
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '245.2.e.h', 'target_level': 245, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 144894
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '245.2.e.i', 'target_level': 245, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 144895
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '315.2.a.e', 'target_level': 315, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 144896
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '560.2.a.i', 'target_level': 560, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 144897
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1225.2.a.s', 'target_level': 1225, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 144898
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1225.2.b.f', 'target_level': 1225, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 144899
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1575.2.a.p', 'target_level': 1575, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 144900
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1575.2.d.e', 'target_level': 1575, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 144901
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2205.2.a.x', 'target_level': 2205, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 144902
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2240.2.a.bd', 'target_level': 2240, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 144903
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '2240.2.a.bh', 'target_level': 2240, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 144904
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2800.2.a.bi', 'target_level': 2800, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 144905
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2800.2.g.t', 'target_level': 2800, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 144906
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '3920.2.a.bs', 'target_level': 3920, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 144907
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4235.2.a.m', 'target_level': 4235, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 144908
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5040.2.a.bt', 'target_level': 5040, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 144909
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '175.2.a.f', 'source_level': 175, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5915.2.a.l', 'target_level': 5915, 'twist_class_label': '35.2.a.b', 'twist_class_level': 35, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 447100
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 2}
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id: 447101
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 3}
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id: 447102
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170407087, 'p': 5}
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id: 447103
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 22517998170407087, 'p': 7}
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id: 447104
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 11}
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id: 447105
{'charpoly_factorization': [[[2, 5, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 13}
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id: 447106
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 17}
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id: 447107
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 19}
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id: 447108
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 23}
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id: 447109
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 29}
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id: 447110
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170407087, 'p': 31}
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id: 447111
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22517998170407087, 'p': 37}
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id: 447112
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 41}
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id: 447113
{'charpoly_factorization': [[[8, 10, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 43}
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id: 447114
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 47}
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id: 447115
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 53}
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id: 447116
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22517998170407087, 'p': 59}
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id: 447117
{'charpoly_factorization': [[[-144, -6, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 61}
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id: 447118
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 67}
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id: 447119
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 22517998170407087, 'p': 71}
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id: 447120
{'charpoly_factorization': [[[-52, -8, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 73}
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id: 447121
{'charpoly_factorization': [[[16, 9, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 79}
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id: 447122
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22517998170407087, 'p': 83}
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id: 447123
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 89}
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id: 447124
{'charpoly_factorization': [[[-86, -9, 1], 1]], 'hecke_orbit_code': 22517998170407087, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '175.2.a.f', '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: 161896000
{'hecke_orbit_code': 22517998170407087, 'n': 1, 'trace_an': 2}
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id: 161896001
{'hecke_orbit_code': 22517998170407087, 'n': 2, 'trace_an': 1}
-
id: 161896002
{'hecke_orbit_code': 22517998170407087, 'n': 3, 'trace_an': 1}
-
id: 161896003
{'hecke_orbit_code': 22517998170407087, 'n': 4, 'trace_an': 5}
-
id: 161896004
{'hecke_orbit_code': 22517998170407087, 'n': 5, 'trace_an': 0}
-
id: 161896005
{'hecke_orbit_code': 22517998170407087, 'n': 6, 'trace_an': -8}
-
id: 161896006
{'hecke_orbit_code': 22517998170407087, 'n': 7, 'trace_an': 2}
-
id: 161896007
{'hecke_orbit_code': 22517998170407087, 'n': 8, 'trace_an': 9}
-
id: 161896008
{'hecke_orbit_code': 22517998170407087, 'n': 9, 'trace_an': 3}
-
id: 161896009
{'hecke_orbit_code': 22517998170407087, 'n': 10, 'trace_an': 0}
-
id: 161896010
{'hecke_orbit_code': 22517998170407087, 'n': 11, 'trace_an': 1}
-
id: 161896011
{'hecke_orbit_code': 22517998170407087, 'n': 12, 'trace_an': -6}
-
id: 161896012
{'hecke_orbit_code': 22517998170407087, 'n': 13, 'trace_an': -5}
-
id: 161896013
{'hecke_orbit_code': 22517998170407087, 'n': 14, 'trace_an': 1}
-
id: 161896014
{'hecke_orbit_code': 22517998170407087, 'n': 15, 'trace_an': 0}
-
id: 161896015
{'hecke_orbit_code': 22517998170407087, 'n': 16, 'trace_an': 3}
-
id: 161896016
{'hecke_orbit_code': 22517998170407087, 'n': 17, 'trace_an': 5}
-
id: 161896017
{'hecke_orbit_code': 22517998170407087, 'n': 18, 'trace_an': -7}
-
id: 161896018
{'hecke_orbit_code': 22517998170407087, 'n': 19, 'trace_an': -6}
-
id: 161896019
{'hecke_orbit_code': 22517998170407087, 'n': 20, 'trace_an': 0}
-
id: 161896020
{'hecke_orbit_code': 22517998170407087, 'n': 21, 'trace_an': 1}
-
id: 161896021
{'hecke_orbit_code': 22517998170407087, 'n': 22, 'trace_an': -8}
-
id: 161896022
{'hecke_orbit_code': 22517998170407087, 'n': 23, 'trace_an': 2}
-
id: 161896023
{'hecke_orbit_code': 22517998170407087, 'n': 24, 'trace_an': -4}
-
id: 161896024
{'hecke_orbit_code': 22517998170407087, 'n': 25, 'trace_an': 0}
-
id: 161896025
{'hecke_orbit_code': 22517998170407087, 'n': 26, 'trace_an': 6}
-
id: 161896026
{'hecke_orbit_code': 22517998170407087, 'n': 27, 'trace_an': 7}
-
id: 161896027
{'hecke_orbit_code': 22517998170407087, 'n': 28, 'trace_an': 5}
-
id: 161896028
{'hecke_orbit_code': 22517998170407087, 'n': 29, 'trace_an': 1}
-
id: 161896029
{'hecke_orbit_code': 22517998170407087, 'n': 30, 'trace_an': 0}
-
id: 161896030
{'hecke_orbit_code': 22517998170407087, 'n': 31, 'trace_an': 0}
-
id: 161896031
{'hecke_orbit_code': 22517998170407087, 'n': 32, 'trace_an': 9}
-
id: 161896032
{'hecke_orbit_code': 22517998170407087, 'n': 33, 'trace_an': 9}
-
id: 161896033
{'hecke_orbit_code': 22517998170407087, 'n': 34, 'trace_an': -6}
-
id: 161896034
{'hecke_orbit_code': 22517998170407087, 'n': 35, 'trace_an': 0}
-
id: 161896035
{'hecke_orbit_code': 22517998170407087, 'n': 36, 'trace_an': -1}
-
id: 161896036
{'hecke_orbit_code': 22517998170407087, 'n': 37, 'trace_an': -12}
-
id: 161896037
{'hecke_orbit_code': 22517998170407087, 'n': 38, 'trace_an': -20}
-
id: 161896038
{'hecke_orbit_code': 22517998170407087, 'n': 39, 'trace_an': -11}
-
id: 161896039
{'hecke_orbit_code': 22517998170407087, 'n': 40, 'trace_an': 0}
-
id: 161896040
{'hecke_orbit_code': 22517998170407087, 'n': 41, 'trace_an': 2}
-
id: 161896041
{'hecke_orbit_code': 22517998170407087, 'n': 42, 'trace_an': -8}
-
id: 161896042
{'hecke_orbit_code': 22517998170407087, 'n': 43, 'trace_an': -10}
-
id: 161896043
{'hecke_orbit_code': 22517998170407087, 'n': 44, 'trace_an': -6}
-
id: 161896044
{'hecke_orbit_code': 22517998170407087, 'n': 45, 'trace_an': 0}
-
id: 161896045
{'hecke_orbit_code': 22517998170407087, 'n': 46, 'trace_an': -16}
-
id: 161896046
{'hecke_orbit_code': 22517998170407087, 'n': 47, 'trace_an': 5}
-
id: 161896047
{'hecke_orbit_code': 22517998170407087, 'n': 48, 'trace_an': -24}
-
id: 161896048
{'hecke_orbit_code': 22517998170407087, 'n': 49, 'trace_an': 2}
-
id: 161896049
{'hecke_orbit_code': 22517998170407087, 'n': 50, 'trace_an': 0}
-
id: 161896050
{'hecke_orbit_code': 22517998170407087, 'n': 51, 'trace_an': 11}
-
id: 161896051
{'hecke_orbit_code': 22517998170407087, 'n': 52, 'trace_an': -4}
-
id: 161896052
{'hecke_orbit_code': 22517998170407087, 'n': 53, 'trace_an': 2}
-
id: 161896053
{'hecke_orbit_code': 22517998170407087, 'n': 54, 'trace_an': 12}
-
id: 161896054
{'hecke_orbit_code': 22517998170407087, 'n': 55, 'trace_an': 0}
-
id: 161896055
{'hecke_orbit_code': 22517998170407087, 'n': 56, 'trace_an': 9}
-
id: 161896056
{'hecke_orbit_code': 22517998170407087, 'n': 57, 'trace_an': 14}
-
id: 161896057
{'hecke_orbit_code': 22517998170407087, 'n': 58, 'trace_an': 26}
-
id: 161896058
{'hecke_orbit_code': 22517998170407087, 'n': 59, 'trace_an': -8}
-
id: 161896059
{'hecke_orbit_code': 22517998170407087, 'n': 60, 'trace_an': 0}
-
id: 161896060
{'hecke_orbit_code': 22517998170407087, 'n': 61, 'trace_an': 6}
-
id: 161896061
{'hecke_orbit_code': 22517998170407087, 'n': 62, 'trace_an': 0}
-
id: 161896062
{'hecke_orbit_code': 22517998170407087, 'n': 63, 'trace_an': 3}
-
id: 161896063
{'hecke_orbit_code': 22517998170407087, 'n': 64, 'trace_an': 7}
-
id: 161896064
{'hecke_orbit_code': 22517998170407087, 'n': 65, 'trace_an': 0}
-
id: 161896065
{'hecke_orbit_code': 22517998170407087, 'n': 66, 'trace_an': -4}
-
id: 161896066
{'hecke_orbit_code': 22517998170407087, 'n': 67, 'trace_an': -4}
-
id: 161896067
{'hecke_orbit_code': 22517998170407087, 'n': 68, 'trace_an': 4}
-
id: 161896068
{'hecke_orbit_code': 22517998170407087, 'n': 69, 'trace_an': 18}
-
id: 161896069
{'hecke_orbit_code': 22517998170407087, 'n': 70, 'trace_an': 0}
-
id: 161896070
{'hecke_orbit_code': 22517998170407087, 'n': 71, 'trace_an': 16}
-
id: 161896071
{'hecke_orbit_code': 22517998170407087, 'n': 72, 'trace_an': 5}
-
id: 161896072
{'hecke_orbit_code': 22517998170407087, 'n': 73, 'trace_an': 8}
-
id: 161896073
{'hecke_orbit_code': 22517998170407087, 'n': 74, 'trace_an': -6}
-
id: 161896074
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