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mf_newforms • Show schema
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{'Nk2': 3200, 'analytic_conductor': 15.619251274206087, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 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': [50, 1, [27], [1]], 'cm_discs': [], 'conrey_index': 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': [[3, [12, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597898440754, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '50.8.a.g', 'level': 50, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '2.8.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+8q^{2}-12q^{3}+2^{6}q^{4}-96q^{6}-1016q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.8.a', 'trace_display': [8, -12, 0, -1016], 'trace_hash': 1504970838719765969, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.926', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [8], [-12], [64], [0], [-96], [-1016], [512], [-2043], [0], [1092], [-768], [-1382], [-8128], [0], [4096], [-14706], [-16344], [-39940], [0], [12192], [8736], [-68712], [-6144], [0], [-11056], [50760], [-65024], [-102570], [0], [227552], [32768], [-13104], [-117648], [0], [-130752], [-160526], [-319520], [16584], [0], [10842], [97536], [630748], [69888], [0], [-549696], [-472656], [-49152], [208713], [0], [176472], [-88448], [1494018], [406080], [0], [-520192], [479280], [-820560], [2640660], [0], [827702], [1820416], [2075688], [262144], [0], [-104832], [126004], [-941184], [824544], [0], [-1414728], [-1046016], [-980282], [-1284208], [0], [-2556160], [-1109472], [132672], [-3566800], [0], [3858921], [86736], [-5672892], [780288], [0], [5045984], [1230840], [559104], [-11951190], [0], [1404112], [-4397568], [-2730624], [-3781248], [0], [-393216], [-8682146], [1669704], [-2230956], [0]], 'ap': [[8], [-12], [0], [-1016], [1092], [-1382], [-14706], [-39940], [-68712], [-102570], [227552], [-160526], [10842], [630748], [-472656], [1494018], [2640660], [827702], [126004], [-1414728], [-980282], [-3566800], [-5672892], [-11951190], [-8682146], [-10079538], [-3747992], [17985564], [12257030], [-16594962], [-1168256], [-7923828], [315654], [39203780], [-21886050], [-29415448], [-60554966], [-57085292], [87726504], [-8569542], [18804060], [-59962498], [93986112], [35194558], [-102985326], [83637560], [-97401028], [14645728], [184540884], [-8754610], [119556198], [396209040], [-256606318], [-73477548], [202701054], [-154254072], [-624018330], [-387983248], [-453952286], [333769962], [-537694772], [-335600142], [-215028956], [792061512], [118457398], [50730954], [273756932], [91851214], [1367004684], [1131432470], [44839518], [398280600], [-1634717456], [1546331458], [-1056882220], [-224909952], [1017882030], [1475652634], [274912242], [-1634272150], [-1112798100], [922528142], [-981507888], [-2849979602], [-1056218680], [-1823254932], [1848459330], [2980660294], [-2527807578], [890290768], [-2656667196], [1300933920], [1074466024], [-783344028], [-623187940], [2709270648], [3499434870], [-1376833158], [2861538748], [5344671062], [3371346964], [5611058874], [-6696895452], [1968501450], [1029257492], [-3311792066], [559410684], [3024589518], [-5632460760], [340791722], [-3854196896], [-9222445262], [-6536112666], [1365585380], [1540786952], [-4540181118], [-11405383052], [12639339144], [10500443418], [9648179580], [-6582986338], [8546489758], [-8713048206], [-14610865572], [-14734767268], [1315018422], [664028270], [4950344880], [-8811008936], [149413738], [-4708057300], [-1696762392], [10664999312], [-6228758846], [-8383341558], [-11864884990], [-5566800942], [-134611196], [7415475114], [-14154174630], [-26370790108], [8062640382], [23420185528], [-5557221396], [28425575990], [10403565240], [18058024738], [6340342614], [12148877300], [28711114848], [-24602117126], [-12537766638], [-19309723292], [-32026812936], [-2337034436], [22034303472], [-14327739160], [13127971170], [38762629414], [20627937222], [21170525604], [-21487568202], [-39262517816], [-56264662908], [8434369614], [22422959448], [34672761632], [29647405234]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597898440754, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '50.8.a.g', 'level': 50, 'maxp': 997, 'weight': 8}
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mf_newspaces • Show schema
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{'ALdims': [3, 3, 2, 4], 'Nk2': 3200, 'analytic_conductor': 15.619251274206087, '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': [50, 1, [27], [1]], 'conrey_index': 1, 'cusp_dim': 47, 'dim': 12, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 134217778, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2], 'label': '50.8.a', 'level': 50, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 59, 'mf_new_dim': 12, 'num_forms': 10, 'plus_dim': 7, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 60, 'trace_bound': 3, 'trace_display': [0, -40, 0, -1120], 'traces': [12, 0, -40, 768, 0, -592, -1120, 0, 15554, 0, -3366, -2560, 7220, 11744, 0, 49152, -34980, -5120, -52310, 0, 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mf_twists_nf • Show schema
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id: 42221
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '2.8.a.a', 'target_level': 2, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 42222
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '16.8.a.b', 'target_level': 16, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 42223
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '18.8.a.b', 'target_level': 18, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 42224
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '50.8.a.g', 'target_level': 50, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 42225
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.8.b.c', 'target_level': 50, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 42226
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '64.8.a.c', 'target_level': 64, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 8}
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id: 42227
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '64.8.a.e', 'target_level': 64, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 42228
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '98.8.a.a', 'target_level': 98, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 42229
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '98.8.c.d', 'target_level': 98, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 8}
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id: 42230
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '98.8.c.e', 'target_level': 98, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 8}
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id: 42231
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '144.8.a.i', 'target_level': 144, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 8}
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id: 42232
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '162.8.c.a', 'target_level': 162, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 8}
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id: 42233
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '162.8.c.l', 'target_level': 162, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 8}
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id: 42234
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '242.8.a.e', 'target_level': 242, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 42235
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '256.8.b.b', 'target_level': 256, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 8}
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id: 42236
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '256.8.b.f', 'target_level': 256, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 8}
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id: 42237
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '338.8.a.d', 'target_level': 338, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 42238
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '338.8.b.d', 'target_level': 338, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 8}
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id: 42239
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '400.8.a.l', 'target_level': 400, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 42240
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '400.8.c.j', 'target_level': 400, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 42241
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.8.a.c', 'target_level': 450, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 42242
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.8.c.g', 'target_level': 450, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 42243
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '576.8.a.f', 'target_level': 576, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 8}
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id: 42244
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.8.a.g', 'target_level': 576, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 8}
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id: 42245
{'conductor': 85, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '50.8.a.g', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '578.8.a.b', 'target_level': 578, 'twist_class_label': '2.8.a.a', 'twist_class_level': 2, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 137700
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 2}
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id: 137701
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 3}
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id: 137702
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 5}
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id: 137703
{'charpoly_factorization': [[[1016, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 7}
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id: 137704
{'charpoly_factorization': [[[-1092, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 11}
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id: 137705
{'charpoly_factorization': [[[1382, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 13}
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id: 137706
{'charpoly_factorization': [[[14706, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 17}
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id: 137707
{'charpoly_factorization': [[[39940, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 19}
-
id: 137708
{'charpoly_factorization': [[[68712, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 23}
-
id: 137709
{'charpoly_factorization': [[[102570, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 29}
-
id: 137710
{'charpoly_factorization': [[[-227552, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 31}
-
id: 137711
{'charpoly_factorization': [[[160526, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 37}
-
id: 137712
{'charpoly_factorization': [[[-10842, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 41}
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id: 137713
{'charpoly_factorization': [[[-630748, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 43}
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id: 137714
{'charpoly_factorization': [[[472656, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 47}
-
id: 137715
{'charpoly_factorization': [[[-1494018, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 53}
-
id: 137716
{'charpoly_factorization': [[[-2640660, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 59}
-
id: 137717
{'charpoly_factorization': [[[-827702, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 61}
-
id: 137718
{'charpoly_factorization': [[[-126004, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 67}
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id: 137719
{'charpoly_factorization': [[[1414728, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 71}
-
id: 137720
{'charpoly_factorization': [[[980282, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 73}
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id: 137721
{'charpoly_factorization': [[[3566800, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 79}
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id: 137722
{'charpoly_factorization': [[[5672892, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 83}
-
id: 137723
{'charpoly_factorization': [[[11951190, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 89}
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id: 137724
{'charpoly_factorization': [[[8682146, 1], 1]], 'hecke_orbit_code': 27021597898440754, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '50.8.a.g', 'level': 50, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 46893541
{'hecke_orbit_code': 27021597898440754, 'n': 1, 'trace_an': 1}
-
id: 46893542
{'hecke_orbit_code': 27021597898440754, 'n': 2, 'trace_an': 8}
-
id: 46893543
{'hecke_orbit_code': 27021597898440754, 'n': 3, 'trace_an': -12}
-
id: 46893544
{'hecke_orbit_code': 27021597898440754, 'n': 4, 'trace_an': 64}
-
id: 46893545
{'hecke_orbit_code': 27021597898440754, 'n': 5, 'trace_an': 0}
-
id: 46893546
{'hecke_orbit_code': 27021597898440754, 'n': 6, 'trace_an': -96}
-
id: 46893547
{'hecke_orbit_code': 27021597898440754, 'n': 7, 'trace_an': -1016}
-
id: 46893548
{'hecke_orbit_code': 27021597898440754, 'n': 8, 'trace_an': 512}
-
id: 46893549
{'hecke_orbit_code': 27021597898440754, 'n': 9, 'trace_an': -2043}
-
id: 46893550
{'hecke_orbit_code': 27021597898440754, 'n': 10, 'trace_an': 0}
-
id: 46893551
{'hecke_orbit_code': 27021597898440754, 'n': 11, 'trace_an': 1092}
-
id: 46893552
{'hecke_orbit_code': 27021597898440754, 'n': 12, 'trace_an': -768}
-
id: 46893553
{'hecke_orbit_code': 27021597898440754, 'n': 13, 'trace_an': -1382}
-
id: 46893554
{'hecke_orbit_code': 27021597898440754, 'n': 14, 'trace_an': -8128}
-
id: 46893555
{'hecke_orbit_code': 27021597898440754, 'n': 15, 'trace_an': 0}
-
id: 46893556
{'hecke_orbit_code': 27021597898440754, 'n': 16, 'trace_an': 4096}
-
id: 46893557
{'hecke_orbit_code': 27021597898440754, 'n': 17, 'trace_an': -14706}
-
id: 46893558
{'hecke_orbit_code': 27021597898440754, 'n': 18, 'trace_an': -16344}
-
id: 46893559
{'hecke_orbit_code': 27021597898440754, 'n': 19, 'trace_an': -39940}
-
id: 46893560
{'hecke_orbit_code': 27021597898440754, 'n': 20, 'trace_an': 0}
-
id: 46893561
{'hecke_orbit_code': 27021597898440754, 'n': 21, 'trace_an': 12192}
-
id: 46893562
{'hecke_orbit_code': 27021597898440754, 'n': 22, 'trace_an': 8736}
-
id: 46893563
{'hecke_orbit_code': 27021597898440754, 'n': 23, 'trace_an': -68712}
-
id: 46893564
{'hecke_orbit_code': 27021597898440754, 'n': 24, 'trace_an': -6144}
-
id: 46893565
{'hecke_orbit_code': 27021597898440754, 'n': 25, 'trace_an': 0}
-
id: 46893566
{'hecke_orbit_code': 27021597898440754, 'n': 26, 'trace_an': -11056}
-
id: 46893567
{'hecke_orbit_code': 27021597898440754, 'n': 27, 'trace_an': 50760}
-
id: 46893568
{'hecke_orbit_code': 27021597898440754, 'n': 28, 'trace_an': -65024}
-
id: 46893569
{'hecke_orbit_code': 27021597898440754, 'n': 29, 'trace_an': -102570}
-
id: 46893570
{'hecke_orbit_code': 27021597898440754, 'n': 30, 'trace_an': 0}
-
id: 46893571
{'hecke_orbit_code': 27021597898440754, 'n': 31, 'trace_an': 227552}
-
id: 46893572
{'hecke_orbit_code': 27021597898440754, 'n': 32, 'trace_an': 32768}
-
id: 46893573
{'hecke_orbit_code': 27021597898440754, 'n': 33, 'trace_an': -13104}
-
id: 46893574
{'hecke_orbit_code': 27021597898440754, 'n': 34, 'trace_an': -117648}
-
id: 46893575
{'hecke_orbit_code': 27021597898440754, 'n': 35, 'trace_an': 0}
-
id: 46893576
{'hecke_orbit_code': 27021597898440754, 'n': 36, 'trace_an': -130752}
-
id: 46893577
{'hecke_orbit_code': 27021597898440754, 'n': 37, 'trace_an': -160526}
-
id: 46893578
{'hecke_orbit_code': 27021597898440754, 'n': 38, 'trace_an': -319520}
-
id: 46893579
{'hecke_orbit_code': 27021597898440754, 'n': 39, 'trace_an': 16584}
-
id: 46893580
{'hecke_orbit_code': 27021597898440754, 'n': 40, 'trace_an': 0}
-
id: 46893581
{'hecke_orbit_code': 27021597898440754, 'n': 41, 'trace_an': 10842}
-
id: 46893582
{'hecke_orbit_code': 27021597898440754, 'n': 42, 'trace_an': 97536}
-
id: 46893583
{'hecke_orbit_code': 27021597898440754, 'n': 43, 'trace_an': 630748}
-
id: 46893584
{'hecke_orbit_code': 27021597898440754, 'n': 44, 'trace_an': 69888}
-
id: 46893585
{'hecke_orbit_code': 27021597898440754, 'n': 45, 'trace_an': 0}
-
id: 46893586
{'hecke_orbit_code': 27021597898440754, 'n': 46, 'trace_an': -549696}
-
id: 46893587
{'hecke_orbit_code': 27021597898440754, 'n': 47, 'trace_an': -472656}
-
id: 46893588
{'hecke_orbit_code': 27021597898440754, 'n': 48, 'trace_an': -49152}
-
id: 46893589
{'hecke_orbit_code': 27021597898440754, 'n': 49, 'trace_an': 208713}
-
id: 46893590
{'hecke_orbit_code': 27021597898440754, 'n': 50, 'trace_an': 0}
-
id: 46893591
{'hecke_orbit_code': 27021597898440754, 'n': 51, 'trace_an': 176472}
-
id: 46893592
{'hecke_orbit_code': 27021597898440754, 'n': 52, 'trace_an': -88448}
-
id: 46893593
{'hecke_orbit_code': 27021597898440754, 'n': 53, 'trace_an': 1494018}
-
id: 46893594
{'hecke_orbit_code': 27021597898440754, 'n': 54, 'trace_an': 406080}
-
id: 46893595
{'hecke_orbit_code': 27021597898440754, 'n': 55, 'trace_an': 0}
-
id: 46893596
{'hecke_orbit_code': 27021597898440754, 'n': 56, 'trace_an': -520192}
-
id: 46893597
{'hecke_orbit_code': 27021597898440754, 'n': 57, 'trace_an': 479280}
-
id: 46893598
{'hecke_orbit_code': 27021597898440754, 'n': 58, 'trace_an': -820560}
-
id: 46893599
{'hecke_orbit_code': 27021597898440754, 'n': 59, 'trace_an': 2640660}
-
id: 46893600
{'hecke_orbit_code': 27021597898440754, 'n': 60, 'trace_an': 0}
-
id: 46893601
{'hecke_orbit_code': 27021597898440754, 'n': 61, 'trace_an': 827702}
-
id: 46893602
{'hecke_orbit_code': 27021597898440754, 'n': 62, 'trace_an': 1820416}
-
id: 46893603
{'hecke_orbit_code': 27021597898440754, 'n': 63, 'trace_an': 2075688}
-
id: 46893604
{'hecke_orbit_code': 27021597898440754, 'n': 64, 'trace_an': 262144}
-
id: 46893605
{'hecke_orbit_code': 27021597898440754, 'n': 65, 'trace_an': 0}
-
id: 46893606
{'hecke_orbit_code': 27021597898440754, 'n': 66, 'trace_an': -104832}
-
id: 46893607
{'hecke_orbit_code': 27021597898440754, 'n': 67, 'trace_an': 126004}
-
id: 46893608
{'hecke_orbit_code': 27021597898440754, 'n': 68, 'trace_an': -941184}
-
id: 46893609
{'hecke_orbit_code': 27021597898440754, 'n': 69, 'trace_an': 824544}
-
id: 46893610
{'hecke_orbit_code': 27021597898440754, 'n': 70, 'trace_an': 0}
-
id: 46893611
{'hecke_orbit_code': 27021597898440754, 'n': 71, 'trace_an': -1414728}
-
id: 46893612
{'hecke_orbit_code': 27021597898440754, 'n': 72, 'trace_an': -1046016}
-
id: 46893613
{'hecke_orbit_code': 27021597898440754, 'n': 73, 'trace_an': -980282}
-
id: 46893614
{'hecke_orbit_code': 27021597898440754, 'n': 74, 'trace_an': -1284208}
-
id: 46893615
{'hecke_orbit_code': 27021597898440754, 'n': 75, 'trace_an': 0}
-
id: 46893616
{'hecke_orbit_code': 27021597898440754, 'n': 76, 'trace_an': -2556160}
-
id: 46893617
{'hecke_orbit_code': 27021597898440754, 'n': 77, 'trace_an': -1109472}
-
id: 46893618
{'hecke_orbit_code': 27021597898440754, 'n': 78, 'trace_an': 132672}
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