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mf_newforms • Show schema
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{'Nk2': 1224, 'analytic_conductor': 2.4434223018511796, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [306, 2, [137, 37], [2, 1]], 'cm_discs': [], 'conrey_index': 271, 'conrey_indexes': [271], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 1]], [47, [8, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68753031474, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '306.2.b.a', 'level': 306, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 17], 'level_radical': 102, 'minimal_twist': '102.2.b.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-q^{2}+q^{4}+iq^{5}+iq^{7}-q^{8}-iq^{10}+\\cdots', 'related_objects': ['EllipticCurve/2.2.17.1/324.1/a', 'ModularForm/GL2/TotallyReal/2.2.17.1/holomorphic/2.2.17.1-324.1-a'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '306.2.b', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 335772165414138755, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.176', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.469', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '155.829', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.524', 'prec': 17}, 'traces': [2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, -12, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 12, 0, 0, 0, 0, 0, -2, 0, -2, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -16, 0, 6, -2, 0, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 16, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -16, -8, 0, 0, -20, 0, 0, 0, 0, 16, 0, 0, 0, -6, 0, 2, 36, 0, -32, 12, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -16, 0, 22, 0, 0, 0, 0, 0, 16, -2, 0, 0, 0, 0, 0, -16, 0, -2, 4, 0, 0, -8, 0, 0, 0, 0, 24, 0, 0, 0, -20, 0, -16, 0, 0, 0, -40, 0, -4, 0, 0, 0, -24, 0, 0, 0, 0, -32, 0, 0, 46, 16, 0, 8, 0, 0, 0, 0, 0, 20, 40, 0, 0, 0, 0, 0, -8, 0, 0, -16, 0, 0, 16, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, -36, 24, 0, 0, 32, 0, -12, 0, 0, 0, 12, 0, 0, 0, 0, -40, 0, 0, 0, -12, 0, -32, 0, 0, 0, 0, 0, 20, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, -24, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 0], [0, 0], [1, 0], [0, 1], [0, 0], [0, 1], [-1, 0], [0, 0], [0, -1], [0, 0], [0, 0], [-6, 0], [0, -1], [0, 0], [1, 0], [1, 2], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 3], [0, 0], [1, 0], [6, 0], [0, 0], [0, 1], [0, -3], [0, 0], [0, 5], [-1, 0], [0, 0], [-1, -2], [-4, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, -1], [0, 0], [0, 0], [4, 0], [0, 0], [0, 0], [0, -3], [-8, 0], [0, 0], [3, 0], [-1, 0], [0, 0], [-6, 0], [6, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, 3], [0, 0], [0, 0], [0, -5], [0, -5], [0, 0], [1, 0], [0, -6], [0, 0], [8, 0], [1, 2], [0, 0], [4, 0], [0, -5], [0, 0], [0, -8], [0, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 1], [0, 0], [0, 0], [16, 0], [0, 0], [-8, 1], [-4, 0], [0, 0], [0, 0], [-10, 0], [0, 0], [0, -6], [0, 3], [0, 0], [8, 0], [0, 0], [0, 0], [0, 6], [-3, 0], [0, 0], [1, 0]], 'ap': [[-1, 0], [0, 0], [0, 1], [0, 1], [0, 0], [-6, 0], [1, 2], [0, 0], [0, 3], [0, -3], [0, 5], [0, 1], [0, 0], [4, 0], [-8, 0], [6, 0], [0, 0], [0, -5], [8, 0], [0, -5], [0, -8], [0, 3], [16, 0], [-10, 0], [0, 6], [18, 0], [-16, 0], [0, 4], [0, -7], [0, -2], [8, 0], [0, 0], [2, 0], [0, 8], [-10, 0], [-8, 0], [-2, 0], [0, 2], [0, 9], [0, -7], [20, 0], [0, -5], [8, 0], [0, 2], [0, 9], [0, 3], [0, 0], [-16, 0], [0, -6], [10, 0], [0, -2], [0, 0], [0, -10], [-12, 0], [2, 0], [16, 0], [0, -3], [32, 0], [0, 11], [-22, 0], [0, -8], [6, 0], [-12, 0], [0, 5], [0, 2], [0, 9], [12, 0], [0, -4], [0, -6], [-10, 0], [-14, 0], [0, 0], [0, 11], [-6, 0], [0, -2], [-24, 0], [10, 0], [0, 11], [0, 0], [-10, 0], [0, 2], [2, 0], [0, -5], [34, 0], [0, 3], [-4, 0], [0, 12], [-22, 0], [-2, 0], [24, 0], [-28, 0], [0, 7], [0, -9], [-12, 0], [0, -12], [0, -17], [-10, 0], [0, 0], [-16, 0], [0, 5], [0, -4], [-38, 0], [-24, 0], [30, 0], [0, -10], [-2, 0], [12, 0], [46, 0], [40, 0], [0, 20], [0, -19], [14, 0], [0, -6], [0, -2], [-8, 0], [0, -20], [0, -18], [32, 0], [0, -17], [40, 0], [22, 0], [0, -18], [0, -21], [0, -22], [0, 20], [-22, 0], [0, 3], [0, -13], [48, 0], [14, 0], [-40, 0], [0, 13], [0, -5], [-22, 0], [18, 0], [30, 0], [-14, 0], [0, 16], [-18, 0], [0, 12], [0, 10], [0, -5], [0, 7], [0, -16], [30, 0], [0, 17], [0, 7], [0, 24], [20, 0], [16, 0], [0, -19], [0, 10], [-16, 0], [0, -21], [0, -4], [0, 25], [0, 0], [0, -8], [-2, 0], [0, -15], [0, 4], [6, 0], [8, 0], [-32, 0], [22, 0], [0, 23], [0, -5], [0, -9]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 68753031474, 'hecke_ring_character_values': [[137, [1, 0]], [37, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '306.2.b.a', 'level': 306, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1224, 'analytic_conductor': 2.4434223018511796, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [306, 2, [137, 37], [2, 1]], 'conrey_index': 271, 'cusp_dim': 46, 'dim': 8, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 47], 'hecke_orbit_code': 68753031474, 'hecke_orbit_dims': [2, 2, 2, 2], 'label': '306.2.b', 'level': 306, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 17], 'level_radical': 102, 'mf_dim': 62, 'mf_new_dim': 8, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 8, 'sturm_bound': 108, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 16, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, -8, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, -24, -8, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 8, 0, 0, -32, 8, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, -16, -16, 0, 0, -32, 0, 0, 0, 0, -32, 0, 0, 0, 8, 0, 8, 48, 0, -32, 16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 48, 0, 0, 0, -16, 0, 40, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, -24, 0, -8, 40, 0, 0, -8, 0, 0, 0, 0, 48, 0, 0, 0, -32, 0, -64, -8, 0, 48, -40, 0, 80, 0, 0, 0, -24, 0, 0, 0, 0, -32, 0, 0, -8, 32, 0, -16, 0, 0, 0, 0, 0, 32, 16, 0, 0, 0, 0, 0, 40, 0, 48, -16, 0, 0, 16, 0, 0, 0, 0, -24, 0, 0, 0, -8, 0, 48, 24, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -64, 56, 0, 0, 0, 0, 0, -24, 0, -32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, -48, 0, 8, -8, 0, -80, 0, 0, 0, -16, 0, 0, 0, 0, -32, 0, 0, -32, 8, 0, -16, 0, 0, 0, 0, 0, -16, -80, 0, 0, 0, 0, 0, 0, 0, -24, -40, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, -8, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 0, -96, 0, 0, 144, -24, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -64, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 16, 0, 0, 0, -16, 0, 64, -32, 0, -16, -48, 0, -104, 0, 0, 0, 64, 0, 0, 0, 0, 32, 0, 0, -96, 16, 0, -32, 0, 0, 0, 0, 0, -64, -48, 0, 0, 0, 0, 0, 32, 0, 0, 8, 0, 0, 72, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 96, 48, 0, -80, 32, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 160, 0, 0, 0, -16, 0, 256, 0, 0, 0, 0, 0, 32, 40, 0, 0, 0, 0, 0, -16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 48, 0, -32, -64, 0, 48, 32, 0, 96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, -16, 0, -96, 0, 0, 0, 0, 0, 40, -144, 0, 0, 0, 0, 0, 0, 0, 144, -16, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 64, 16, 0, 64, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, 0, -128, 0, 0, -32, -80, 0, -152, 0, 0, 0, 0, 0, -32, -24, 0, 0, 0, 0, 0, -96, 0, -8, 104, 0, 0, 40, 0, 0, 0, 0, 192, 0, 0, 0, -112, 0, -96, -8, 0, 32, -120, 0, -128, 0, 0, 0, 72, 0, 0, 0, 0, -96, 0, 0, 80, 32, 0, 48, 0, 0, 0, 0, 0, -96, 48, 0, 0, 0, 0, 0, 56, 0, 64, -32, 0, 0, 32, 0, 0, 0, 0, -64, 0, 0, 0, -8, 0, -16, 96, 0, -176, 64, 0, 48, 0, 0, 0, -40, 0, 0, 0, 0, -104, 0, 0, 80, -64, 0, 32, 0, 0, 0, 0, 0, -96, -16, 0, 0, 0, 0, 0, -24, 0, -48, 112, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 104, 0, 80, -32, 0, -32, 0, 0, -96, 0, 0, 0, -48, 0, 0, 0, 0, -8, 0, 0, -192, 32, 0, -48, 0, 0, 0, 0, 0, -16, -96, 0, 0, 0, 0, 0, -112, 0, -96, -48, 0, 0, 16, 0, 0, 0, 0, -32, 0, 0, 0, -8, 0, 32, -120, 0, 0, 16, 0, -96, 0, 0, 0, 32, 0, 0, 0, 0, 192, 0, 0, -64, -16, 0, 16, 0, 0, 0, 0, 0, -32, 40, 0, 0, 0, 0, 0, -32, 0, 48, -32, 0, 0, -16, 0, 0, 0, 0, 64, 0, 0, 0, -24, 0, -16, 16, 0, 96, -48, 0, 240, 0, 0, 0, 80, 0, 0, 0, 0, -80, 0, 0, 48, 16, 0, -24, 0, 0, 0, 0, 0, 192, 16, 0, 0, 0, 0, 0, 0, 0, 128, -8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 24, 0, 96, 32, 0, 0, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -56, 48, 0, 0, 0, 0, 0, 0, 0, -56, -120, 0, 0, -40, 0, 0, 0, 0, 16, 0, 0, 0, 128, 0, -16, -40, 0, 32, 96, 0, -192, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 80, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 120, 0, -96, 32, 0, 0, -8, 0, 0, 0, 0, -96, 0, 0, 0, 24, 0, -64, 0, 0, 0, 56, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, -144, 0, 0, 272, -48, 0, -16, 0, 0, 0, 0, 0, 96, -24, 0, 0, 0, 0, 0, 24, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -112, 0, 160, -16, 0, -96, -88, 0, 80, 0, 0, 0, 8, 0, 0, 0, 0, 192, 0, 0, -144, -32, 0, 0, 0, 0, 0, 0, 0, -64, 72, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 235707
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '102.2.b.a', 'target_level': 102, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 235708
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '102.2.b.a', 'target_level': 102, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 235709
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '306.2.b.a', 'target_level': 306, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 235710
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '306.2.b.a', 'target_level': 306, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 235711
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '816.2.c.a', 'target_level': 816, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 235712
{'conductor': 204, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '816.2.c.a', 'target_level': 816, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '204.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 235713
{'conductor': 51, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1734.2.a.d', 'target_level': 1734, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '51.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 235714
{'conductor': 51, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1734.2.a.e', 'target_level': 1734, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '51.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 235715
{'conductor': 51, 'degree': 4, 'multiplicity': 4, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1734.2.f.h', 'target_level': 1734, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '51.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 235716
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2448.2.c.a', 'target_level': 2448, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 235717
{'conductor': 68, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2448.2.c.a', 'target_level': 2448, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '68.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 235718
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2550.2.c.f', 'target_level': 2550, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 235719
{'conductor': 255, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2550.2.c.f', 'target_level': 2550, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '255.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 235720
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2550.2.f.e', 'target_level': 2550, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 235721
{'conductor': 255, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2550.2.f.e', 'target_level': 2550, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '255.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 235722
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2550.2.f.j', 'target_level': 2550, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 235723
{'conductor': 255, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2550.2.f.j', 'target_level': 2550, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '255.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 235724
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3264.2.c.i', 'target_level': 3264, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 235725
{'conductor': 408, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3264.2.c.i', 'target_level': 3264, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '408.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 235726
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3264.2.c.j', 'target_level': 3264, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 235727
{'conductor': 408, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3264.2.c.j', 'target_level': 3264, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '408.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 235728
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '5202.2.a.h', 'target_level': 5202, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 235729
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '306.2.b.a', 'source_level': 306, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '5202.2.a.n', 'target_level': 5202, 'twist_class_label': '102.2.b.a', 'twist_class_level': 102, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 679975
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 2}
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id: 679976
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 3}
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id: 679977
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 5}
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id: 679978
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 7}
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id: 679979
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 11}
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id: 679980
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 13}
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id: 679981
{'charpoly_factorization': [[[17, -2, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 17}
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id: 679982
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 19}
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id: 679983
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 23}
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id: 679984
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 29}
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id: 679985
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 31}
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id: 679986
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 37}
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id: 679987
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 41}
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id: 679988
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 43}
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id: 679989
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 47}
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id: 679990
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 53}
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id: 679991
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 59}
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id: 679992
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 61}
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id: 679993
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 67}
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id: 679994
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 71}
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id: 679995
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 73}
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id: 679996
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 79}
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id: 679997
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 83}
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id: 679998
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 68753031474, 'p': 89}
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id: 679999
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 68753031474, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '306.2.b.a', 'level': 306, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 17267000
{'hecke_orbit_code': 68753031474, 'n': 1, 'trace_an': 2}
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id: 17267001
{'hecke_orbit_code': 68753031474, 'n': 2, 'trace_an': -2}
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id: 17267002
{'hecke_orbit_code': 68753031474, 'n': 3, 'trace_an': 0}
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id: 17267003
{'hecke_orbit_code': 68753031474, 'n': 4, 'trace_an': 2}
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id: 17267004
{'hecke_orbit_code': 68753031474, 'n': 5, 'trace_an': 0}
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id: 17267005
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