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mf_newforms • Show schema
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{'Nk2': 192, 'analytic_conductor': 0.7080229200688873, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [12, 1, [7, 5], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 67108876, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '12.4.a.a', 'level': 12, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '12.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}-18q^{5}+8q^{7}+9q^{9}+6^{2}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12.4.a', 'trace_display': [0, 3, -18, 8], 'trace_hash': 1898111257782747209, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.064', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.791', 'prec': 17}], 'trace_zratio': 0, 'traces': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [3], [0], [-18], [0], [8], [0], [9], [0], [36], [0], [-10], [0], [-54], [0], [18], [0], [-100], [0], [24], [0], [72], [0], [199], [0], [27], [0], [-234], [0], [-16], [0], [108], [0], [-144], [0], [-226], [0], [-30], [0], [90], [0], [452], [0], [-162], [0], [432], [0], [-279], [0], [54], [0], [414], [0], [-648], [0], [-300], [0], [-684], [0], [422], [0], [72], [0], [180], [0], [332], [0], [216], [0], [-360], [0], [26], [0], [597], [0], [288], [0], [512], [0], [81], [0], [-1188], [0], [-324], [0], [-702], [0], [-630], [0], [-80], [0], [-48], [0], [1800], [0], [-1054], [0], [324], [0]], 'ap': [[0], [3], [-18], [8], [36], [-10], [18], [-100], [72], [-234], [-16], [-226], [90], [452], [432], [414], [-684], [422], [332], [-360], [26], [512], [-1188], [-630], [-1054], [558], [8], [1764], [1622], [-1134], [-592], [-1908], [954], [2564], [-738], [-2440], [-2554], [-820], [1944], [-1242], [1116], [1070], [-576], [-1342], [1422], [872], [1340], [4880], [2700], [254], [4410], [-3888], [5138], [4788], [-5886], [2232], [-666], [-5536], [2126], [-2934], [2036], [2286], [1244], [1224], [1898], [-9162], [-4348], [7154], [-1836], [5894], [11106], [13176], [-6112], [-13618], [692], [-8064], [12654], [-106], [-4014], [3914], [4428], [-15490], [6768], [1298], [-2248], [-9612], [162], [1370], [-15354], [-13024], [-14436], [12096], [6056], [7524], [5276], [4968], [10998], [-8838], [22436], [-4762], [-6004], [-5274], [-12420], [-21366], [21140], [3266], [17028], [9522], [-10296], [-3382], [-20656], [-22114], [19962], [-604], [152], [4194], [-7252], [-6696], [28422], [-19908], [14318], [30050], [22158], [-3132], [-20932], [-21834], [12446], [-12528], [11576], [-29338], [2540], [-18792], [4832], [-20818], [12042], [13058], [-11826], [11996], [6966], [-40806], [-17980], [-12834], [-37864], [42516], [45638], [17496], [32174], [-38934], [29780], [-48096], [21302], [-7470], [764], [32328], [-36316], [-13392], [38072], [-12798], [34874], [17190], [40284], [15498], [37160], [18468], [10386], [44136], [-28432], [-39778]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 67108876, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '12.4.a.a', 'level': 12, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 1, 1]], 'ALdims': [0, 0, 0, 1], 'Nk2': 192, 'analytic_conductor': 0.7080229200688873, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [12, 1, [7, 5], [1, 1]], 'conrey_index': 1, 'cusp_dim': 3, 'dim': 1, 'eis_dim': 6, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 67108876, 'hecke_orbit_dims': [1], 'label': '12.4.a', 'level': 12, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 9, 'mf_new_dim': 1, 'num_forms': 1, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 1, 'sturm_bound': 8, 'trace_bound': 0, 'trace_display': [0, 3, -18, 8], 'traces': [1, 0, 3, 0, -18, 0, 8, 0, 9, 0, 36, 0, -10, 0, -54, 0, 18, 0, -100, 0, 24, 0, 72, 0, 199, 0, 27, 0, -234, 0, -16, 0, 108, 0, -144, 0, -226, 0, -30, 0, 90, 0, 452, 0, 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mf_twists_nf • Show schema
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id: 8031
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '12.4.a.a', 'target_level': 12, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 8032
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '36.4.a.a', 'target_level': 36, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8033
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '48.4.a.a', 'target_level': 48, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8034
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '144.4.a.g', 'target_level': 144, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8035
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '192.4.a.f', 'target_level': 192, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8036
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '192.4.a.l', 'target_level': 192, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 8037
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '300.4.a.b', 'target_level': 300, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8038
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '300.4.d.e', 'target_level': 300, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 8039
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '324.4.e.a', 'target_level': 324, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 8040
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '324.4.e.h', 'target_level': 324, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 8041
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.4.a.a', 'target_level': 576, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 8042
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '576.4.a.b', 'target_level': 576, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 8043
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '588.4.a.c', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8044
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '588.4.i.d', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 8045
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '588.4.i.e', 'target_level': 588, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 8046
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '768.4.d.g', 'target_level': 768, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 8047
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '768.4.d.j', 'target_level': 768, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 8048
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '900.4.a.g', 'target_level': 900, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 8049
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.4.d.c', 'target_level': 900, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 8050
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '1200.4.a.be', 'target_level': 1200, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 8051
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1200.4.f.d', 'target_level': 1200, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 8052
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1452.4.a.d', 'target_level': 1452, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8053
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1764.4.a.b', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 8054
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1764.4.k.b', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 8055
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1764.4.k.o', 'target_level': 1764, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 8056
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2028.4.a.c', 'target_level': 2028, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 8057
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2028.4.b.c', 'target_level': 2028, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 8058
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '12.4.a.a', 'source_level': 12, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '2352.4.a.bk', 'target_level': 2352, 'twist_class_label': '12.4.a.a', 'twist_class_level': 12, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 52275
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 2}
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id: 52276
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 3}
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id: 52277
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 5}
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id: 52278
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 7}
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id: 52279
{'charpoly_factorization': [[[-36, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 11}
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id: 52280
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 13}
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id: 52281
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 17}
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id: 52282
{'charpoly_factorization': [[[100, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 19}
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id: 52283
{'charpoly_factorization': [[[-72, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 23}
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id: 52284
{'charpoly_factorization': [[[234, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 29}
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id: 52285
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 31}
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id: 52286
{'charpoly_factorization': [[[226, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 37}
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id: 52287
{'charpoly_factorization': [[[-90, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 41}
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id: 52288
{'charpoly_factorization': [[[-452, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 43}
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id: 52289
{'charpoly_factorization': [[[-432, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 47}
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id: 52290
{'charpoly_factorization': [[[-414, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 53}
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id: 52291
{'charpoly_factorization': [[[684, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 59}
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id: 52292
{'charpoly_factorization': [[[-422, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 61}
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id: 52293
{'charpoly_factorization': [[[-332, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 67}
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id: 52294
{'charpoly_factorization': [[[360, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 71}
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id: 52295
{'charpoly_factorization': [[[-26, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 73}
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id: 52296
{'charpoly_factorization': [[[-512, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 79}
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id: 52297
{'charpoly_factorization': [[[1188, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 83}
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id: 52298
{'charpoly_factorization': [[[630, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 89}
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id: 52299
{'charpoly_factorization': [[[1054, 1], 1]], 'hecke_orbit_code': 67108876, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '12.4.a.a', 'level': 12, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 9989000
{'hecke_orbit_code': 67108876, 'n': 1, 'trace_an': 1}
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id: 9989001
{'hecke_orbit_code': 67108876, 'n': 2, 'trace_an': 0}
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id: 9989002
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