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mf_newforms • Show schema
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{'Nk2': 20480, 'analytic_conductor': 75.52244480734798, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1280, 2, [511, 261, 257], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 641, 'conrey_indexes': [641], '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': [[3, [16, 0, 1]], [7, [-16, 1]], [11, [3600, 0, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547001381356800, 'hecke_ring_generator_nbound': 5, '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, 8, 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': '1280.4.d.n', 'level': 1280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '20.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+4iq^{3}-5iq^{5}+2^{4}q^{7}+11q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1280.4.d', 'trace_display': [0, 0, 0, 32], 'trace_hash': 496558426422883631, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.873', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.103', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.792', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.422', 'prec': 17}, {'__RealLiteral__': 0, 'data': '146.928', 'prec': 24}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 4], [0, 0], [0, -5], [0, 0], [16, 0], [0, 0], [11, 0], [0, 0], [0, 60], [0, 0], [0, 86], [0, 0], [20, 0], [0, 0], [18, 0], [0, 0], [0, 44], [0, 0], [0, 64], [0, 0], [-48, 0], [0, 0], [-25, 0], [0, 0], [0, 152], [0, 0], [0, -186], [0, 0], [176, 0], [0, 0], [-240, 0], [0, 0], [0, -80], [0, 0], [0, -254], [0, 0], [-344, 0], [0, 0], [-186, 0], [0, 0], [0, 100], [0, 0], [0, -55], [0, 0], [168, 0], [0, 0], [-87, 0], [0, 0], [0, 72], [0, 0], [0, 498], [0, 0], [300, 0], [0, 0], [-176, 0], [0, 0], [0, 252], [0, 0], [0, -58], [0, 0], [176, 0], [0, 0], [430, 0], [0, 0], [0, -1036], [0, 0], [0, -192], [0, 0], [-168, 0], [0, 0], [-506, 0], [0, 0], [0, -100], [0, 0], [0, 960], [0, 0], [272, 0], [0, 0], [-311, 0], [0, 0], [0, 948], [0, 0], [0, -90], [0, 0], [744, 0], [0, 0], [1014, 0], [0, 0], [0, 1376], [0, 0], [0, 704], [0, 0], [220, 0], [0, 0], [-766, 0], [0, 0], [0, 660], [0, 0]], 'ap': [[0, 0], [0, 4], [0, -5], [16, 0], [0, 60], [0, 86], [18, 0], [0, 44], [-48, 0], [0, -186], [176, 0], [0, -254], [-186, 0], [0, 100], [168, 0], [0, 498], [0, 252], [0, -58], [0, -1036], [-168, 0], [-506, 0], [272, 0], [0, 948], [1014, 0], [-766, 0], [0, 1314], [448, 0], [0, -1548], [0, 278], [-558, 0], [344, 0], [0, 780], [-666, 0], [0, -884], [0, 114], [40, 0], [0, -154], [0, 2180], [-3696, 0], [0, 1302], [0, -4308], [0, -1550], [48, 0], [1058, 0], [0, 3714], [1768, 0], [0, -4036], [680, 0], [0, 2388], [0, 3874], [-3162, 0], [5424, 0], [-3886, 0], [0, 5100], [2178, 0], [6144, 0], [0, 822], [8480, 0], [0, 1138], [-5706, 0], [0, 3028], [0, -3390], [0, -4156], [-6552, 0], [1366, 0], [0, 2598], [0, 3292], [6194, 0], [0, 10020], [0, -3130], [4194, 0], [4104, 0], [7496, 0], [0, 5842], [0, 412], [2568, 0], [0, -13086], [0, 10454], [-10830, 0], [8566, 0], [0, 13884], [0, -4286], [6336, 0], [-8974, 0], [2968, 0], [0, 12372], [11394, 0], [358, 0], [0, -7530], [-13768, 0], [0, 13380], [-6336, 0], [5008, 0], [0, -12900], [0, -8116], [4944, 0], [0, -5466], [-10074, 0], [0, 13828], [0, -15226], [0, -13228], [0, -8490], [0, -10284], [-1770, 0], [0, -6068], [21506, 0], [0, -12108], [15474, 0], [2520, 0], [12790, 0], [11576, 0], [0, -20126], [27942, 0], [0, 22540], [5128, 0], [-12798, 0], [0, -21148], [-16464, 0], [0, -24234], [0, -22836], [0, -26318], [28802, 0], [0, -2526], [0, 23076], [0, 7868], [0, 21510], [0, -30014], [-816, 0], [9952, 0], [0, -33946], [0, 23420], [14592, 0], [9056, 0], [0, 17554], [36438, 0], [-9022, 0], [0, -1470], [0, 5252], [0, 12294], [-15546, 0], [0, -19364], [0, 7314], [-11984, 0], [0, -13500], [0, -44602], [-35448, 0], [0, -12590], [-24906, 0], [0, -23204], [19848, 0], [0, 27542], [-20718, 0], [0, 25172], [12864, 0], [0, 23092], [-14208, 0], [26584, 0], [162, 0], [29734, 0], [0, 17142], [0, 26436], [-27882, 0], [-12656, 0], [0, -2916], [-6894, 0], [45264, 0], [52016, 0], [0, 13858], [4370, 0], [0, 36786], [0, 57756], [0, 6374], [22008, 0], [-40826, 0], [-37264, 0], [-26058, 0], [0, -12308], [0, 27426], [4000, 0], [0, -41194], [69176, 0], [0, -24372], [0, 34306], [42630, 0], [50904, 0], [0, -67950], [0, 47078], [0, 32132], [11782, 0], [-20208, 0], [71234, 0], [0, -22812], [0, -70180], [0, 12390], [0, -59532], [-39642, 0], [47954, 0], [0, 51878], [-3390, 0], [-25440, 0], [0, 55254], [-59488, 0], [0, -6446], [3746, 0], [0, 46380], [0, 40518], [9728, 0], [0, 43620], [-60186, 0], [0, -76196], [23762, 0], [0, -82062], [60688, 0], [0, 51972], [-67608, 0], [51910, 0], [14120, 0], [2418, 0], [93504, 0], [0, -68346], [0, -77246], [78712, 0], [20802, 0], [-72232, 0], [0, 27972], [0, 27058], [-16170, 0], [64800, 0], [-19856, 0], [0, 79164], [0, -66058], [0, 56972], [-2512, 0], [74406, 0], [0, -85916], [-94200, 0], [14258, 0], [0, 77394], [0, -46020], [20760, 0], [0, 65172], [0, 27244], [55840, 0], [0, 15830], [86130, 0], [57144, 0], [-111880, 0], [0, -33972], [0, -105044], [-9576, 0], [0, -18970], [58818, 0], [-35088, 0], [-23066, 0], [0, 27702], [0, -37332], [0, -121262], [0, 105892], [0, -894], [3670, 0], [30824, 0], [0, 104244], [0, -96446], [0, -42010], [-73086, 0], [0, -78244], [0, -55626], [-89322, 0], [0, 14164], [0, 74274], [0, -102058], [0, -4156], [62422, 0], [15776, 0], [123026, 0], [31504, 0], [0, -68316], [0, -51610], [23782, 0], [0, 60732], [99144, 0], [-91496, 0], [14976, 0], [0, 109378], [0, 30772], [83904, 0], [11858, 0], [0, -131310], [81880, 0], [104802, 0], [0, -79722], [0, 75684], [-29514, 0], [0, 63612], [0, 104438], [0, 68262], [-60112, 0], [0, 1554], [0, 82140], [0, 33428], [-139610, 0], [0, 164982], [33488, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 58547001381356800, 'hecke_ring_character_values': [[511, [1, 0]], [261, [-1, 0]], [257, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1280.4.d.n', 'level': 1280, 'maxp': 1999, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 20480, 'analytic_conductor': 75.52244480734798, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1280, 2, [511, 261, 257], [2, 1, 2]], 'conrey_index': 641, 'cusp_dim': 552, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 206225540352, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8], 'label': '1280.4.d', 'level': 1280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 600, 'mf_new_dim': 96, 'num_forms': 29, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 768, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 696801
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '20.4.a.a', 'target_level': 20, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 696802
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '80.4.a.c', 'target_level': 80, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 696803
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '100.4.a.a', 'target_level': 100, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 696804
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '100.4.c.a', 'target_level': 100, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 696805
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '100.4.c.a', 'target_level': 100, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 4}
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id: 696806
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '180.4.a.a', 'target_level': 180, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 696807
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '320.4.a.d', 'target_level': 320, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 696808
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '320.4.a.k', 'target_level': 320, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 696809
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '400.4.a.o', 'target_level': 400, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 696810
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '400.4.c.j', 'target_level': 400, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 696811
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '400.4.c.j', 'target_level': 400, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 696812
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '720.4.a.k', 'target_level': 720, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 696813
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '900.4.a.m', 'target_level': 900, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '240.bm', 'twisting_char_orbit': 39, 'weight': 4}
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id: 696814
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '900.4.d.k', 'target_level': 900, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '240.bb', 'twisting_char_orbit': 28, 'weight': 4}
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id: 696815
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '900.4.d.k', 'target_level': 900, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '240.bf', 'twisting_char_orbit': 32, 'weight': 4}
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id: 696816
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '980.4.a.c', 'target_level': 980, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 696817
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '980.4.i.e', 'target_level': 980, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 696818
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '980.4.i.n', 'target_level': 980, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 696819
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1280.4.d.c', 'target_level': 1280, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 696820
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1280.4.d.c', 'target_level': 1280, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 696821
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1280.4.d.n', 'target_level': 1280, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 696822
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1280.4.d.n', 'target_level': 1280, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 696823
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1600.4.a.p', 'target_level': 1600, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 696824
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '1600.4.a.bl', 'target_level': 1600, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 696825
{'conductor': 144, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1620.4.i.d', 'target_level': 1620, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '144.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 696826
{'conductor': 144, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1620.4.i.j', 'target_level': 1620, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '144.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 696827
{'conductor': 176, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1280.4.d.n', 'source_level': 1280, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2420.4.a.d', 'target_level': 2420, 'twist_class_label': '20.4.a.a', 'twist_class_level': 20, 'twisting_char_label': '176.l', 'twisting_char_orbit': 12, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1827150
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 2}
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id: 1827151
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 3}
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id: 1827152
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 5}
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id: 1827153
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 7}
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id: 1827154
{'charpoly_factorization': [[[3600, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 11}
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id: 1827155
{'charpoly_factorization': [[[7396, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 13}
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id: 1827156
{'charpoly_factorization': [[[-18, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 17}
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id: 1827157
{'charpoly_factorization': [[[1936, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 19}
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id: 1827158
{'charpoly_factorization': [[[48, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 23}
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id: 1827159
{'charpoly_factorization': [[[34596, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 29}
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id: 1827160
{'charpoly_factorization': [[[-176, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 31}
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id: 1827161
{'charpoly_factorization': [[[64516, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 37}
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id: 1827162
{'charpoly_factorization': [[[186, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 41}
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id: 1827163
{'charpoly_factorization': [[[10000, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 43}
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id: 1827164
{'charpoly_factorization': [[[-168, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 47}
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id: 1827165
{'charpoly_factorization': [[[248004, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 53}
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id: 1827166
{'charpoly_factorization': [[[63504, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 59}
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id: 1827167
{'charpoly_factorization': [[[3364, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 61}
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id: 1827168
{'charpoly_factorization': [[[1073296, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 67}
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id: 1827169
{'charpoly_factorization': [[[168, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 71}
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id: 1827170
{'charpoly_factorization': [[[506, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 73}
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id: 1827171
{'charpoly_factorization': [[[-272, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 79}
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id: 1827172
{'charpoly_factorization': [[[898704, 0, 1], 1]], 'hecke_orbit_code': 58547001381356800, 'p': 83}
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id: 1827173
{'charpoly_factorization': [[[-1014, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 89}
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id: 1827174
{'charpoly_factorization': [[[766, 1], 2]], 'hecke_orbit_code': 58547001381356800, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 14, 'label': '1280.4.d.n', 'level': 1280, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 229669000
{'hecke_orbit_code': 58547001381356800, 'n': 1, 'trace_an': 2}
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id: 229669001
{'hecke_orbit_code': 58547001381356800, 'n': 2, 'trace_an': 0}
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id: 229669002
{'hecke_orbit_code': 58547001381356800, 'n': 3, 'trace_an': 0}
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id: 229669003
{'hecke_orbit_code': 58547001381356800, 'n': 4, 'trace_an': 0}
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id: 229669004
{'hecke_orbit_code': 58547001381356800, 'n': 5, 'trace_an': 0}
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id: 229669005
{'hecke_orbit_code': 58547001381356800, 'n': 6, 'trace_an': 0}
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id: 229669006
{'hecke_orbit_code': 58547001381356800, 'n': 7, 'trace_an': 32}
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id: 229669007
{'hecke_orbit_code': 58547001381356800, 'n': 8, 'trace_an': 0}
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id: 229669008
{'hecke_orbit_code': 58547001381356800, 'n': 9, 'trace_an': 22}
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id: 229669009
{'hecke_orbit_code': 58547001381356800, 'n': 10, 'trace_an': 0}
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id: 229669010
{'hecke_orbit_code': 58547001381356800, 'n': 11, 'trace_an': 0}
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id: 229669011
{'hecke_orbit_code': 58547001381356800, 'n': 12, 'trace_an': 0}
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id: 229669012
{'hecke_orbit_code': 58547001381356800, 'n': 13, 'trace_an': 0}
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id: 229669013
{'hecke_orbit_code': 58547001381356800, 'n': 14, 'trace_an': 0}
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id: 229669014
{'hecke_orbit_code': 58547001381356800, 'n': 15, 'trace_an': 40}
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id: 229669015
{'hecke_orbit_code': 58547001381356800, 'n': 16, 'trace_an': 0}
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id: 229669016
{'hecke_orbit_code': 58547001381356800, 'n': 17, 'trace_an': 36}
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id: 229669017
{'hecke_orbit_code': 58547001381356800, 'n': 18, 'trace_an': 0}
-
id: 229669018
{'hecke_orbit_code': 58547001381356800, 'n': 19, 'trace_an': 0}
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id: 229669019
{'hecke_orbit_code': 58547001381356800, 'n': 20, 'trace_an': 0}
-
id: 229669020
{'hecke_orbit_code': 58547001381356800, 'n': 21, 'trace_an': 0}
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id: 229669021
{'hecke_orbit_code': 58547001381356800, 'n': 22, 'trace_an': 0}
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id: 229669022
{'hecke_orbit_code': 58547001381356800, 'n': 23, 'trace_an': -96}
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id: 229669023
{'hecke_orbit_code': 58547001381356800, 'n': 24, 'trace_an': 0}
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id: 229669024
{'hecke_orbit_code': 58547001381356800, 'n': 25, 'trace_an': -50}
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id: 229669025
{'hecke_orbit_code': 58547001381356800, 'n': 26, 'trace_an': 0}
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id: 229669026
{'hecke_orbit_code': 58547001381356800, 'n': 27, 'trace_an': 0}
-
id: 229669027
{'hecke_orbit_code': 58547001381356800, 'n': 28, 'trace_an': 0}
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id: 229669028
{'hecke_orbit_code': 58547001381356800, 'n': 29, 'trace_an': 0}
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id: 229669029
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