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mf_newforms • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, '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': [450, 3, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_index': 151, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 1, 1]], [11, [36, 6, 1]], [17, [0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420943810, 'hecke_ring_generator_nbound': 2, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '450.2.e.e', 'level': 450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '90.2.e.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{2}+(-2+\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.2.e', 'trace_display': [1, -3, 0, -1], 'trace_hash': 1697959841213608788, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.065', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.962', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.072', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.505', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '103.378', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [2, 1, -3, -1, 0, 0, -1, -2, 3, 0, -6, 3, 2, 1, 0, -1, 0, -3, -8, 0, 0, 6, 9, 3, 0, 4, 0, 2, -3, 0, 4, 1, 0, 0, 0, -6, -16, -4, -6, 0, 3, -3, 8, 12, 0, 18, -3, 0, 6, 0, 0, 2, -12, 9, 0, 1, 12, 3, -6, 0, 13, 8, 3, 2, 0, -18, -13, 0, -27, 0, -12, -3, 8, -8, 0, 4, -6, -6, 10, 0, -9, 6, -9, -3, 0, -8, 0, 6, 18, 0, -4, 9, -12, 3, 0, -3, 2, 12, 18, 0, -6, 0, 8, -2, 0, -6, 6, 9, -14, 0, 24, -1, 0, 0, 0, 6, 12, -12, 0, 0, -25, -13, -9, 4, 0, 6, 14, 1, 0, 0, 18, -18, 4, -26, 0, 0, -12, -27, 16, 0, 0, -6, -24, 3, 0, 4, -18, 8, 3, 0, -14, 8, 0, -12, 0, 0, 14, -10, 18, 0, -18, -18, 8, 3, 0, 9, -3, 0, 9, 0, -12, -16, 24, -9, 0, -6, 18, 9, -36, 0, 10, -2, 0, -9, 0, -12, 0, 6, -9, 0, 12, -3, 2, -2, 0, 6, 24, 36, 16, 0, 39, 6, -3, 0, 0, 16, 54, -4, 24, 0, -2, 6, 18, 3, 0, 0, -8, -7, -12, 0, 0, 0, -1, -2, 0, 0, -12, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, -1], [-2, 1], [0, -1], [0, 0], [-1, 2], [-1, 1], [-1, 0], [3, -3], [0, 0], [-6, 6], [1, 1], [0, 2], [0, 1], [0, 0], [-1, 1], [0, 0], [0, -3], [-4, 0], [0, 0], [1, -2], [0, 6], [0, 9], [2, -1], [0, 0], [2, 0], [-3, 6], [1, 0], [-3, 3], [0, 0], [0, 4], [0, 1], [6, -12], [0, 0], [0, 0], [-3, 0], [-8, 0], [-4, 4], [-2, -2], [0, 0], [0, 3], [-1, -1], [8, -8], [6, 0], [0, 0], [9, 0], [-3, 3], [1, -2], [0, 6], [0, 0], [0, 0], [2, -2], [-6, 0], [3, 3], [0, 0], [1, -1], [8, -4], [0, 3], [0, -6], [0, 0], [13, -13], [4, 0], [0, 3], [1, 0], [0, 0], [-6, -6], [0, -13], [0, 0], [-9, -9], [0, 0], [-6, 0], [-3, 3], [4, 0], [-8, 8], [0, 0], [0, 4], [0, -6], [-4, 2], [10, -10], [0, 0], [0, -9], [3, 0], [-9, 9], [-2, 1], [0, 0], [0, -8], [3, -6], [6, -6], [9, 0], [0, 0], [-2, 0], [9, -9], [-4, -4], [0, 3], [0, 0], [-1, -1], [2, -2], [6, 0], [0, 18], [0, 0]], 'ap': [[1, -1], [-2, 1], [0, 0], [-1, 1], [-6, 6], [0, 2], [0, 0], [-4, 0], [0, 9], [-3, 3], [0, 4], [-8, 0], [0, 3], [8, -8], [-3, 3], [-6, 0], [0, -6], [13, -13], [0, -13], [-6, 0], [4, 0], [10, -10], [-9, 9], [9, 0], [2, -2], [-6, 6], [0, 8], [3, 0], [-7, 0], [0, 0], [7, 0], [0, 18], [-12, 12], [0, 16], [0, 3], [-14, 14], [0, 14], [4, 0], [0, -3], [24, -24], [-18, 0], [5, 0], [12, -12], [0, 2], [12, 0], [8, 0], [0, -2], [-1, 1], [-12, 12], [0, 13], [12, 0], [0, 0], [-29, 29], [12, 0], [0, 18], [0, 0], [21, 0], [-4, 0], [8, -8], [15, -15], [0, -13], [0, 0], [7, 0], [0, -12], [2, -2], [-6, 6], [10, -10], [0, 8], [0, 12], [-23, 23], [24, -24], [-12, 0], [8, -8], [0, 26], [-22, 0], [0, -12], [-21, 21], [-2, 0], [0, -6], [0, 10], [0, 30], [22, -22], [6, 0], [16, 0], [28, -28], [9, -9], [6, 0], [8, -8], [27, -27], [0, -4], [-36, 0], [30, -30], [-8, 0], [0, -12], [0, -32], [-27, 0], [0, -15], [27, 0], [19, 0], [29, 0], [-43, 43], [6, 0], [0, -3], [6, -6], [0, 40], [10, 0], [-15, 15], [-24, 0], [0, 6], [-26, 26], [0, 29], [40, 0], [0, 12], [40, -40], [32, 0], [-33, 33], [0, -31], [3, 0], [0, 0], [0, 0], [0, 46], [-46, 46], [18, -18], [-12, 0], [10, -10], [-45, 0], [-11, 11], [-6, 0], [53, -53], [0, 14], [2, 0], [0, -15], [0, -2], [46, 0], [0, 33], [0, -29], [48, 0], [0, 20], [0, -42], [18, 0], [2, 0], [-27, 27], [0, -25], [-3, 0], [-7, 0], [-36, 36], [-10, 10], [-42, 42], [0, 34], [-3, 0], [0, -22], [21, 0], [31, 0], [0, 36], [-37, 37], [30, -30], [38, 0], [-6, 6], [-56, 0], [0, -21], [39, -39], [6, 0], [0, -37], [-24, 0], [0, -42], [9, -9], [-10, 0], [-10, 10]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 18014673420943810, 'hecke_ring_character_values': [[101, [0, -1]], [127, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '450.2.e.e', 'level': 450, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [450, 3, [101, 127], [2, 3]], 'conrey_index': 151, 'cusp_dim': 156, 'dim': 38, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 274911461826, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '450.2.e', 'level': 450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 204, 'mf_new_dim': 38, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 19, 'sturm_bound': 180, 'trace_bound': 7, 'trace_display': [-1, 1, 0, -2], 'traces': [38, -1, 1, -19, 0, -5, -2, 2, -5, 0, -1, 4, -2, 2, 0, -19, 18, 2, -2, 0, -2, 3, 6, 1, 0, -20, 16, 4, 18, 0, 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-20, -165, -92, 60, 0, -272, -126, 48, -70, 0, 42, -84, 2, 412, 0, 16, -8, -76, 0, 0, -38, 16, -74, -416, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 330488
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '90.2.e.a', 'target_level': 90, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 330489
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '90.2.e.a', 'target_level': 90, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 330490
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '270.2.e.b', 'target_level': 270, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 330491
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '270.2.e.b', 'target_level': 270, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 330492
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.2.e.e', 'target_level': 450, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 330493
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.2.e.e', 'target_level': 450, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 330494
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.2.j.c', 'target_level': 450, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 330495
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.2.j.c', 'target_level': 450, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 330496
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.2.q.b', 'target_level': 720, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 330497
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.2.q.b', 'target_level': 720, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 330498
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.2.a.b', 'target_level': 810, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 330499
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '810.2.a.g', 'target_level': 810, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 330500
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.2.e.b', 'target_level': 1350, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 330501
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.2.e.b', 'target_level': 1350, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 330502
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1350.2.j.e', 'target_level': 1350, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 330503
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1350.2.j.e', 'target_level': 1350, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 330504
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.2.q.b', 'target_level': 2160, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 330505
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.2.q.b', 'target_level': 2160, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 330506
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4050.2.a.n', 'target_level': 4050, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 330507
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4050.2.a.ba', 'target_level': 4050, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 330508
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4050.2.c.a', 'target_level': 4050, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 330509
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4050.2.c.t', 'target_level': 4050, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 330510
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6480.2.a.g', 'target_level': 6480, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 330511
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '450.2.e.e', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6480.2.a.v', 'target_level': 6480, 'twist_class_label': '90.2.e.a', 'twist_class_level': 90, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 908550
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 2}
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id: 908551
{'charpoly_factorization': [[[3, 3, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 3}
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id: 908552
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 5}
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id: 908553
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 7}
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id: 908554
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 11}
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id: 908555
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 13}
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id: 908556
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 17}
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id: 908557
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 19}
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id: 908558
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 23}
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id: 908559
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 29}
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id: 908560
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 31}
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id: 908561
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 37}
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id: 908562
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 41}
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id: 908563
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 43}
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id: 908564
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 47}
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id: 908565
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 53}
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id: 908566
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 59}
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id: 908567
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 61}
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id: 908568
{'charpoly_factorization': [[[169, 13, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 67}
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id: 908569
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 71}
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id: 908570
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 73}
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id: 908571
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 79}
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id: 908572
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 83}
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id: 908573
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 18014673420943810, 'p': 89}
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id: 908574
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 18014673420943810, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '450.2.e.e', 'level': 450, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 40841377
{'hecke_orbit_code': 18014673420943810, 'n': 1, 'trace_an': 2}
-
id: 40841378
{'hecke_orbit_code': 18014673420943810, 'n': 2, 'trace_an': 1}
-
id: 40841379
{'hecke_orbit_code': 18014673420943810, 'n': 3, 'trace_an': -3}
-
id: 40841380
{'hecke_orbit_code': 18014673420943810, 'n': 4, 'trace_an': -1}
-
id: 40841381
{'hecke_orbit_code': 18014673420943810, 'n': 5, 'trace_an': 0}
-
id: 40841382
{'hecke_orbit_code': 18014673420943810, 'n': 6, 'trace_an': 0}
-
id: 40841383
{'hecke_orbit_code': 18014673420943810, 'n': 7, 'trace_an': -1}
-
id: 40841384
{'hecke_orbit_code': 18014673420943810, 'n': 8, 'trace_an': -2}
-
id: 40841385
{'hecke_orbit_code': 18014673420943810, 'n': 9, 'trace_an': 3}
-
id: 40841386
{'hecke_orbit_code': 18014673420943810, 'n': 10, 'trace_an': 0}
-
id: 40841387
{'hecke_orbit_code': 18014673420943810, 'n': 11, 'trace_an': -6}
-
id: 40841388
{'hecke_orbit_code': 18014673420943810, 'n': 12, 'trace_an': 3}
-
id: 40841389
{'hecke_orbit_code': 18014673420943810, 'n': 13, 'trace_an': 2}
-
id: 40841390
{'hecke_orbit_code': 18014673420943810, 'n': 14, 'trace_an': 1}
-
id: 40841391
{'hecke_orbit_code': 18014673420943810, 'n': 15, 'trace_an': 0}
-
id: 40841392
{'hecke_orbit_code': 18014673420943810, 'n': 16, 'trace_an': -1}
-
id: 40841393
{'hecke_orbit_code': 18014673420943810, 'n': 17, 'trace_an': 0}
-
id: 40841394
{'hecke_orbit_code': 18014673420943810, 'n': 18, 'trace_an': -3}
-
id: 40841395
{'hecke_orbit_code': 18014673420943810, 'n': 19, 'trace_an': -8}
-
id: 40841396
{'hecke_orbit_code': 18014673420943810, 'n': 20, 'trace_an': 0}
-
id: 40841397
{'hecke_orbit_code': 18014673420943810, 'n': 21, 'trace_an': 0}
-
id: 40841398
{'hecke_orbit_code': 18014673420943810, 'n': 22, 'trace_an': 6}
-
id: 40841399
{'hecke_orbit_code': 18014673420943810, 'n': 23, 'trace_an': 9}
-
id: 40841400
{'hecke_orbit_code': 18014673420943810, 'n': 24, 'trace_an': 3}
-
id: 40841401
{'hecke_orbit_code': 18014673420943810, 'n': 25, 'trace_an': 0}
-
id: 40841402
{'hecke_orbit_code': 18014673420943810, 'n': 26, 'trace_an': 4}
-
id: 40841403
{'hecke_orbit_code': 18014673420943810, 'n': 27, 'trace_an': 0}
-
id: 40841404
{'hecke_orbit_code': 18014673420943810, 'n': 28, 'trace_an': 2}
-
id: 40841405
{'hecke_orbit_code': 18014673420943810, 'n': 29, 'trace_an': -3}
-
id: 40841406
{'hecke_orbit_code': 18014673420943810, 'n': 30, 'trace_an': 0}
-
id: 40841407
{'hecke_orbit_code': 18014673420943810, 'n': 31, 'trace_an': 4}
-
id: 40841408
{'hecke_orbit_code': 18014673420943810, 'n': 32, 'trace_an': 1}
-
id: 40841409
{'hecke_orbit_code': 18014673420943810, 'n': 33, 'trace_an': 0}
-
id: 40841410
{'hecke_orbit_code': 18014673420943810, 'n': 34, 'trace_an': 0}
-
id: 40841411
{'hecke_orbit_code': 18014673420943810, 'n': 35, 'trace_an': 0}
-
id: 40841412
{'hecke_orbit_code': 18014673420943810, 'n': 36, 'trace_an': -6}
-
id: 40841413
{'hecke_orbit_code': 18014673420943810, 'n': 37, 'trace_an': -16}
-
id: 40841414
{'hecke_orbit_code': 18014673420943810, 'n': 38, 'trace_an': -4}
-
id: 40841415
{'hecke_orbit_code': 18014673420943810, 'n': 39, 'trace_an': -6}
-
id: 40841416
{'hecke_orbit_code': 18014673420943810, 'n': 40, 'trace_an': 0}
-
id: 40841417
{'hecke_orbit_code': 18014673420943810, 'n': 41, 'trace_an': 3}
-
id: 40841418
{'hecke_orbit_code': 18014673420943810, 'n': 42, 'trace_an': -3}
-
id: 40841419
{'hecke_orbit_code': 18014673420943810, 'n': 43, 'trace_an': 8}
-
id: 40841420
{'hecke_orbit_code': 18014673420943810, 'n': 44, 'trace_an': 12}
-
id: 40841421
{'hecke_orbit_code': 18014673420943810, 'n': 45, 'trace_an': 0}
-
id: 40841422
{'hecke_orbit_code': 18014673420943810, 'n': 46, 'trace_an': 18}
-
id: 40841423
{'hecke_orbit_code': 18014673420943810, 'n': 47, 'trace_an': -3}
-
id: 40841424
{'hecke_orbit_code': 18014673420943810, 'n': 48, 'trace_an': 0}
-
id: 40841425
{'hecke_orbit_code': 18014673420943810, 'n': 49, 'trace_an': 6}
-
id: 40841426
{'hecke_orbit_code': 18014673420943810, 'n': 50, 'trace_an': 0}
-
id: 40841427
{'hecke_orbit_code': 18014673420943810, 'n': 51, 'trace_an': 0}
-
id: 40841428
{'hecke_orbit_code': 18014673420943810, 'n': 52, 'trace_an': 2}
-
id: 40841429
{'hecke_orbit_code': 18014673420943810, 'n': 53, 'trace_an': -12}
-
id: 40841430
{'hecke_orbit_code': 18014673420943810, 'n': 54, 'trace_an': 9}
-
id: 40841431
{'hecke_orbit_code': 18014673420943810, 'n': 55, 'trace_an': 0}
-
id: 40841432
{'hecke_orbit_code': 18014673420943810, 'n': 56, 'trace_an': 1}
-
id: 40841433
{'hecke_orbit_code': 18014673420943810, 'n': 57, 'trace_an': 12}
-
id: 40841434
{'hecke_orbit_code': 18014673420943810, 'n': 58, 'trace_an': 3}
-
id: 40841435
{'hecke_orbit_code': 18014673420943810, 'n': 59, 'trace_an': -6}
-
id: 40841436
{'hecke_orbit_code': 18014673420943810, 'n': 60, 'trace_an': 0}
-
id: 40841437
{'hecke_orbit_code': 18014673420943810, 'n': 61, 'trace_an': 13}
-
id: 40841438
{'hecke_orbit_code': 18014673420943810, 'n': 62, 'trace_an': 8}
-
id: 40841439
{'hecke_orbit_code': 18014673420943810, 'n': 63, 'trace_an': 3}
-
id: 40841440
{'hecke_orbit_code': 18014673420943810, 'n': 64, 'trace_an': 2}
-
id: 40841441
{'hecke_orbit_code': 18014673420943810, 'n': 65, 'trace_an': 0}
-
id: 40841442
{'hecke_orbit_code': 18014673420943810, 'n': 66, 'trace_an': -18}
-
id: 40841443
{'hecke_orbit_code': 18014673420943810, 'n': 67, 'trace_an': -13}
-
id: 40841444
{'hecke_orbit_code': 18014673420943810, 'n': 68, 'trace_an': 0}
-
id: 40841445
{'hecke_orbit_code': 18014673420943810, 'n': 69, 'trace_an': -27}
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