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mf_newforms • Show schema
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{'Nk2': 2940, 'analytic_conductor': 5.869004548564108, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [735, 3, [491, 442, 346], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 226, 'conrey_indexes': [226, 361], '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': [[2, [1, -1, 1]], [13, [2, 1]], [17, [4, 2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014948298851039, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '735.2.i.e', 'level': 735, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '15.2.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(1-\\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': '735.2.i', 'trace_display': [1, 1, -1, 0], 'trace_hash': 1735402559716791020, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.867', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.281', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.183', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.149', 'prec': 17}, {'__RealLiteral__': 0, 'data': '86.258', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, 1, 1, 1, -1, 2, 0, 6, -1, 1, 4, -1, -4, 0, -2, 1, -2, 1, -4, -2, 0, 8, 0, 3, -1, -2, -2, 0, -4, -1, 0, 5, -4, -4, 0, -2, 10, 4, -2, -3, 20, 0, 8, -4, -1, 0, -8, 2, 0, -2, 2, -2, 10, -1, -8, 0, -8, -2, 4, -1, 2, 0, 0, 14, 2, 4, -12, 2, 0, 0, -16, -3, -10, -10, 1, -8, 0, -4, 0, 1, -1, 10, 24, 0, 4, 4, -2, 12, 6, -2, 0, 0, 0, 8, -4, -5, 4, 0, -8, 1, -6, -2, 16, -12, 0, 20, 12, -1, -14, -4, 20, 0, 4, -4, 0, -2, 2, 8, 0, -6, -5, -2, 10, 0, 2, 0, -16, -3, 4, -2, 12, -8, 0, -24, 1, -6, 6, 0, -8, 0, -16, -8, -8, 1, 2, -20, 0, 20, -22, -1, 8, -12, 4, 0, 0, 2, -14, 0, -10, -10, 0, -2, 4, 10, -4, 12, 0, 0, -18, 2, -4, 4, 18, -4, 0, 8, -4, -6, -20, 1, -20, 0, 4, 0, 10, 0, 8, -16, 0, -8, -16, 7, -2, 2, 4, 0, 12, -4, 8, -3, 12, -12, 0, 4, -10, -16, 0, -2, -32, 0, 40, -10, -8, -12, -4, -6, 0, -28, 10, -4, 4, 10, 16, 0, 2, 2, 20, -4, -6, 0, 0, -12, 6, -2, -8, -4, 0, 0, -32, -1, 14, 5, 1, 4, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [1, -1], [1, -1], [0, -1], [1, 0], [0, 0], [3, 0], [0, -1], [1, -1], [4, -4], [0, -1], [-2, 0], [0, 0], [-1, 0], [0, 1], [-2, 2], [1, -1], [0, -4], [-1, 0], [0, 0], [4, 0], [0, 0], [3, -3], [-1, 1], [0, -2], [-1, 0], [0, 0], [-2, 0], [0, -1], [0, 0], [5, -5], [0, -4], [-2, 0], [0, 0], [-1, 0], [0, 10], [4, -4], [-2, 2], [0, -3], [10, 0], [0, 0], [4, 0], [0, -4], [-1, 1], [0, 0], [0, -8], [1, 0], [0, 0], [-1, 0], [0, 2], [-2, 2], [10, -10], [0, -1], [-4, 0], [0, 0], [-4, 0], [0, -2], [4, -4], [-1, 1], [0, 2], [0, 0], [0, 0], [7, 0], [0, 2], [4, -4], [-12, 12], [0, 2], [0, 0], [0, 0], [-8, 0], [0, -3], [-10, 10], [-10, 10], [0, 1], [-4, 0], [0, 0], [-2, 0], [0, 0], [1, -1], [-1, 1], [0, 10], [12, 0], [0, 0], [2, 0], [0, 4], [-2, 2], [12, -12], [0, 6], [-1, 0], [0, 0], [0, 0], [0, 0], [8, -8], [-4, 4], [0, -5], [2, 0], [0, 0], [-4, 0], [0, 1]], 'ap': [[0, 1], [1, -1], [0, -1], [0, 0], [4, -4], [-2, 0], [-2, 2], [0, -4], [0, 0], [-2, 0], [0, 0], [0, 10], [10, 0], [4, 0], [0, -8], [10, -10], [4, -4], [0, 2], [-12, 12], [-8, 0], [-10, 10], [0, 0], [12, 0], [0, 6], [2, 0], [-6, 6], [0, 16], [0, 12], [-14, 14], [2, 0], [-8, 0], [0, 12], [6, -6], [-4, 0], [0, -22], [8, -8], [-14, 14], [0, 4], [0, 0], [0, 18], [-20, 20], [-10, 0], [0, -16], [-2, 2], [6, 0], [8, -8], [20, 0], [8, 0], [20, -20], [0, -6], [0, 6], [-16, 0], [14, -14], [12, 0], [0, -18], [-16, 16], [-14, 14], [0, -16], [-6, 6], [-6, 0], [12, -12], [6, 0], [28, 0], [24, -24], [0, -26], [0, 2], [0, -12], [-14, 0], [28, -28], [-2, 0], [-18, 18], [0, 24], [24, -24], [0, 26], [-20, 0], [0, 24], [-6, 6], [0, 2], [0, -18], [-26, 26], [4, 0], [-26, 0], [0, 0], [-14, 0], [0, -40], [0, 12], [2, 0], [0, -10], [-18, 0], [24, 0], [0, -28], [0, 0], [-32, 32], [28, 0], [0, -4], [-32, 0], [0, 34], [-10, 10], [0, -4], [0, -30], [-20, 0], [18, -18], [-12, 12], [0, 6], [4, -4], [-2, 2], [-12, 0], [0, -34], [8, -8], [26, 0], [0, 8], [-22, 22], [-6, 0], [4, -4], [-8, 0], [30, -30], [-36, 0], [-32, 32], [0, -46], [20, 0], [-22, 22], [-30, 0], [0, -6], [-36, 36], [0, 44], [-2, 0], [0, 26], [0, 48], [-16, 0], [0, -14], [44, -44], [-16, 0], [0, -16], [-26, 0], [0, 6], [2, 0], [-6, 6], [-28, 28], [-2, 0], [-10, 10], [12, 0], [0, -54], [-32, 32], [-28, 0], [-30, 30], [40, 0], [6, 0], [22, -22], [0, 20], [0, 56], [0, -30], [-46, 0], [44, 0], [0, -48], [12, -12], [32, 0], [0, -40], [0, -34], [-54, 0], [50, -50], [0, 36], [-22, 0], [32, 0], [0, -60], [-2, 2], [0, 0], [-32, 32], [-54, 54]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 18014948298851039, 'hecke_ring_character_values': [[491, [1, 0]], [442, [1, 0]], [346, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '735.2.i.e', 'level': 735, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2940, 'analytic_conductor': 5.869004548564108, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [735, 3, [491, 442, 346], [3, 3, 1]], 'conrey_index': 226, 'cusp_dim': 192, 'dim': 52, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13, 17], 'hecke_orbit_code': 549789369055, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '735.2.i', 'level': 735, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 256, 'mf_new_dim': 52, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 26, 'sturm_bound': 224, 'trace_bound': 4, 'trace_display': [-8, -2, 0, 0], 'traces': [52, -8, -2, -32, 0, 0, 0, 48, -26, -4, -12, -4, 4, 0, 0, -36, 8, -8, 6, -16, 0, -8, -16, 12, -26, 8, 4, 0, 40, 0, 6, -36, -8, 16, 0, 64, 2, -32, 22, -12, -8, 0, 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mf_twists_nf • Show schema
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id: 475572
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '15.2.a.a', 'target_level': 15, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 475573
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '45.2.a.a', 'target_level': 45, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 475574
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '75.2.a.b', 'target_level': 75, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 475575
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '75.2.b.b', 'target_level': 75, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 475576
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.a.b', 'target_level': 225, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
-
id: 475577
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.2.b.b', 'target_level': 225, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
-
id: 475578
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '240.2.a.d', 'target_level': 240, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 475579
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '405.2.e.c', 'target_level': 405, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 475580
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '405.2.e.c', 'target_level': 405, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 475581
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '405.2.e.f', 'target_level': 405, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 475582
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '405.2.e.f', 'target_level': 405, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 475583
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '720.2.a.c', 'target_level': 720, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 475584
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '735.2.a.c', 'target_level': 735, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 475585
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '735.2.i.d', 'target_level': 735, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 475586
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '735.2.i.d', 'target_level': 735, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 475587
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '735.2.i.e', 'target_level': 735, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 475588
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '735.2.i.e', 'target_level': 735, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 475589
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '960.2.a.a', 'target_level': 960, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
-
id: 475590
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '960.2.a.l', 'target_level': 960, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 475591
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1200.2.a.e', 'target_level': 1200, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 475592
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.2.f.h', 'target_level': 1200, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
-
id: 475593
{'conductor': 77, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1815.2.a.d', 'target_level': 1815, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '77.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 475594
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2205.2.a.i', 'target_level': 2205, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 475595
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2535.2.a.j', 'target_level': 2535, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '91.r', 'twisting_char_orbit': 18, 'weight': 2}
-
id: 475596
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2880.2.a.y', 'target_level': 2880, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '168.s', 'twisting_char_orbit': 19, 'weight': 2}
-
id: 475597
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2880.2.a.bc', 'target_level': 2880, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 2}
-
id: 475598
{'conductor': 420, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '3600.2.a.u', 'target_level': 3600, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '420.ba', 'twisting_char_orbit': 27, 'weight': 2}
-
id: 475599
{'conductor': 420, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3600.2.f.e', 'target_level': 3600, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '420.bp', 'twisting_char_orbit': 42, 'weight': 2}
-
id: 475600
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3675.2.a.j', 'target_level': 3675, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
-
id: 475601
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.k.m', 'target_level': 3840, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
-
id: 475602
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3840.2.k.r', 'target_level': 3840, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '112.u', 'twisting_char_orbit': 21, 'weight': 2}
-
id: 475603
{'conductor': 119, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4335.2.a.c', 'target_level': 4335, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '119.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 475604
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4800.2.a.t', 'target_level': 4800, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '280.bf', 'twisting_char_orbit': 32, 'weight': 2}
-
id: 475605
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '4800.2.a.bz', 'target_level': 4800, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '280.bi', 'twisting_char_orbit': 35, 'weight': 2}
-
id: 475606
{'conductor': 280, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4800.2.f.c', 'target_level': 4800, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '280.br', 'twisting_char_orbit': 44, 'weight': 2}
-
id: 475607
{'conductor': 280, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '4800.2.f.bf', 'target_level': 4800, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '280.bt', 'twisting_char_orbit': 46, 'weight': 2}
-
id: 475608
{'conductor': 133, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '5415.2.a.j', 'target_level': 5415, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '133.r', 'twisting_char_orbit': 18, 'weight': 2}
-
id: 475609
{'conductor': 231, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5445.2.a.c', 'target_level': 5445, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '231.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 475610
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7605.2.a.g', 'target_level': 7605, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '273.w', 'twisting_char_orbit': 23, 'weight': 2}
-
id: 475611
{'conductor': 161, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7935.2.a.d', 'target_level': 7935, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '161.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 475612
{'conductor': 385, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '735.2.i.e', 'source_level': 735, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '9075.2.a.g', 'target_level': 9075, 'twist_class_label': '15.2.a.a', 'twist_class_level': 15, 'twisting_char_label': '385.q', 'twisting_char_orbit': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1265650
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 2}
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id: 1265651
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 3}
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id: 1265652
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 5}
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id: 1265653
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 7}
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id: 1265654
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 11}
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id: 1265655
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 13}
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id: 1265656
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 17}
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id: 1265657
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 19}
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id: 1265658
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 23}
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id: 1265659
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 29}
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id: 1265660
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 31}
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id: 1265661
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 37}
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id: 1265662
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 41}
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id: 1265663
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 43}
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id: 1265664
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 47}
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id: 1265665
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 53}
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id: 1265666
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 59}
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id: 1265667
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 61}
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id: 1265668
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 67}
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id: 1265669
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 71}
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id: 1265670
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 73}
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id: 1265671
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 79}
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id: 1265672
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 83}
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id: 1265673
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 18014948298851039, 'p': 89}
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id: 1265674
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 18014948298851039, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 5, 'label': '735.2.i.e', 'level': 735, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 159715000
{'hecke_orbit_code': 18014948298851039, 'n': 1, 'trace_an': 2}
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id: 159715001
{'hecke_orbit_code': 18014948298851039, 'n': 2, 'trace_an': 1}
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id: 159715002
{'hecke_orbit_code': 18014948298851039, 'n': 3, 'trace_an': 1}
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id: 159715003
{'hecke_orbit_code': 18014948298851039, 'n': 4, 'trace_an': 1}
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id: 159715004
{'hecke_orbit_code': 18014948298851039, 'n': 5, 'trace_an': -1}
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id: 159715005
{'hecke_orbit_code': 18014948298851039, 'n': 6, 'trace_an': 2}
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id: 159715006
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id: 159715979
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id: 159715999
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