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mf_newforms • Show schema
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{'Nk2': 2352, 'analytic_conductor': 8.67328077084387, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 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': [147, 1, [50, 52], [1, 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': [[2, [3, 1]], [5, [3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694479507, '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': '147.4.a.b', 'level': 147, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '21.4.e.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{2}+3q^{3}+q^{4}-3q^{5}-9q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '147.4.a', 'trace_display': [-3, 3, -3, 0], 'trace_hash': 961173341812486771, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.872', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [1, -3, 3, 1, -3, -9, 0, 21, 9, 9, -15, 3, -64, 0, -9, -71, 84, -27, -16, -3, 0, 45, -84, 63, -116, 192, 27, 0, -297, 27, -253, 45, -45, -252, 0, 9, -316, 48, -192, -63, 360, 0, 26, -15, -27, 252, -30, -213, 0, 348, 252, -64, 363, -81, 45, 0, -48, 891, -15, -9, -118, 759, 0, 433, 192, 135, -370, 84, -252, 0, -342, 189, 362, 948, -348, -16, 0, 576, 467, 213, 81, -1080, 477, 0, -252, -78, -891, -315, 906, 81, 0, -84, -759, 90, 48, 135, 503, 0, -135, -116, -1086, -756, 1736, -1344, 0, -1089, -1353, 27, -370, -135, -948, 0, -648, 144, 252, -297, -576, 45, 0, -189, -1106, 354, 1080, -253, 723, 0, 377, -1659, 78, -576, -651, -45, 0, 1110, -81, 1764, -1770, 756, -1558, 0, -90, 1026, 960, -639, 891, -1086, 0, -316, 2454, 1044, 1259, -336, 756, 0, 759, -192, -196, -1401, 1089, -135, 0, -243, -1252, 360, 135, -1431, -2646, 0, 1899, 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15183], 'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-3], [3], [1], [-3], [-9], [0], [21], [9], [9], [-15], [3], [-64], [0], [-9], [-71], [84], [-27], [-16], [-3], [0], [45], [-84], [63], [-116], [192], [27], [0], [-297], [27], [-253], [45], [-45], [-252], [0], [9], [-316], [48], [-192], [-63], [360], [0], [26], [-15], [-27], [252], [-30], [-213], [0], [348], [252], [-64], [363], [-81], [45], [0], [-48], [891], [-15], [-9], [-118], [759], [0], [433], [192], [135], [-370], [84], [-252], [0], [-342], [189], [362], [948], [-348], [-16], [0], [576], [467], [213], [81], [-1080], [477], [0], [-252], [-78], [-891], [-315], [906], [81], [0], [-84], [-759], [90], [48], [135], [503], [0], [-135], [-116]], 'ap': [[-3], [3], [-3], [0], [-15], [-64], [84], [-16], [-84], [-297], [-253], [-316], [360], [26], [-30], [363], [-15], [-118], [-370], [-342], [362], [467], [477], [906], [503], [-1086], [1736], [-1353], [-370], [-648], [377], [-651], [-1770], [-1558], [2454], [1259], [-196], [-1252], [-2646], [-786], [2892], [1352], [3912], [1493], [-4086], [-3556], [1250], [425], [3855], [-2188], [852], [5508], [791], [5265], [-6870], [-222], [7851], [5183], [-4960], [-774], [3698], [-6273], [-1684], [-1320], [-8503], [-2577], [-484], [-8359], [-1860], [-1918], [-3048], [-30], [-11311], [1208], [7640], [12750], [3126], [-5932], [1608], [-4465], [-1584], [-1330], [9588], [494], [-16009], [7773], [864], [2519], [-342], [-4336], [18636], [15078], [6221], [-7371], [4274], [-2520], [-14277], [-6306], [8072], [-22858], [-24724], [-9843], [-13371], [-5232], [-14398], [19871], [-16137], [-21324], [-8646], [11195], [-8971], [-12772], [12762], [12842], [21365], [8274], [27998], [-17466], [2157], [19944], [27506], [-19123], [13857], [-22245], [-640], [-15561], [5534], [-21846], [-11089], [11762], [-22726], [6678], [-19987], [314], [-11496], [2765], [-14046], [-18514], [-27495], [-7944], [-28942], [8187], [-280], [25317], [15320], [34092], [-7378], [-15594], [-30538], [-822], [-41824], [-46098], [21008], [24036], [13292], [-9306], [16496], [14154], [-3781], [-25863], [-42384], [10530], [-38341], [1923], [57090], [5484], [-22465], [29366]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599694479507, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '147.4.a.b', 'level': 147, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [5, 5, 3, 7], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [4, 4, 4, 4], 'ALdims_old': [8, 6, 8, 6], 'Nk2': 2352, 'analytic_conductor': 8.67328077084387, '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': [147, 1, [50, 52], [1, 1]], 'conrey_index': 1, 'cusp_dim': 48, 'dim': 20, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 67109011, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3], 'label': '147.4.a', 'level': 147, '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': [3, 7], 'level_radical': 21, 'mf_dim': 64, 'mf_new_dim': 20, 'num_forms': 13, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 20, 'sturm_bound': 74, 'trace_bound': 5, 'trace_display': [4, 0, 16, 0], 'traces': [20, 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40488, -38136, 32496, 0, 98072, -210360, 56976, 62924, 2896, 45360, 0, -74768, -48780, -29272, -69048, -35664, -29344, 0, -62796, -60500, -51912, 2592, -4372, 26768, 0, -165024, -143616, 6048, -154700, 86832, -1944, 0, -237076, -102900, 41980, -38544, 61536, 41912, 0, 10476, -65660, -111840, 92016, 33104, 20424, 0, -147360, 194240, 40032, -51368, 142080, -65520, 0, -187216, 158364, -11104, -265236, 10800, -37608], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 124772
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '21.4.e.a', 'target_level': 21, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 124773
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '63.4.e.a', 'target_level': 63, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 124774
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '147.4.a.a', 'target_level': 147, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 124775
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '147.4.a.b', 'target_level': 147, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 124776
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '147.4.e.h', 'target_level': 147, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 124777
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '336.4.q.e', 'target_level': 336, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 124778
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '441.4.a.k', 'target_level': 441, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 124779
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '441.4.a.l', 'target_level': 441, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 124780
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '441.4.e.c', 'target_level': 441, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 124781
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2352.4.a.i', 'target_level': 2352, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 124782
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '147.4.a.b', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2352.4.a.bd', 'target_level': 2352, 'twist_class_label': '21.4.e.a', 'twist_class_level': 21, '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: 391000
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 2}
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id: 391001
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 3}
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id: 391002
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 5}
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id: 391003
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 7}
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id: 391004
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 11}
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id: 391005
{'charpoly_factorization': [[[64, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 13}
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id: 391006
{'charpoly_factorization': [[[-84, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 17}
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id: 391007
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 19}
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id: 391008
{'charpoly_factorization': [[[84, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 23}
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id: 391009
{'charpoly_factorization': [[[297, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 29}
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id: 391010
{'charpoly_factorization': [[[253, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 31}
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id: 391011
{'charpoly_factorization': [[[316, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 37}
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id: 391012
{'charpoly_factorization': [[[-360, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 41}
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id: 391013
{'charpoly_factorization': [[[-26, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 43}
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id: 391014
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 47}
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id: 391015
{'charpoly_factorization': [[[-363, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 53}
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id: 391016
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 59}
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id: 391017
{'charpoly_factorization': [[[118, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 61}
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id: 391018
{'charpoly_factorization': [[[370, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 67}
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id: 391019
{'charpoly_factorization': [[[342, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 71}
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id: 391020
{'charpoly_factorization': [[[-362, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 73}
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id: 391021
{'charpoly_factorization': [[[-467, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 79}
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id: 391022
{'charpoly_factorization': [[[-477, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 83}
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id: 391023
{'charpoly_factorization': [[[-906, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 89}
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id: 391024
{'charpoly_factorization': [[[-503, 1], 1]], 'hecke_orbit_code': 4503599694479507, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '147.4.a.b', 'level': 147, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 18631794
{'hecke_orbit_code': 4503599694479507, 'n': 1, 'trace_an': 1}
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id: 18631795
{'hecke_orbit_code': 4503599694479507, 'n': 2, 'trace_an': -3}
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id: 18631796
{'hecke_orbit_code': 4503599694479507, 'n': 3, 'trace_an': 3}
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id: 18631797
{'hecke_orbit_code': 4503599694479507, 'n': 4, 'trace_an': 1}
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id: 18631798
{'hecke_orbit_code': 4503599694479507, 'n': 5, 'trace_an': -3}
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id: 18631799
{'hecke_orbit_code': 4503599694479507, 'n': 6, 'trace_an': -9}
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id: 18631800
{'hecke_orbit_code': 4503599694479507, 'n': 7, 'trace_an': 0}
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id: 18631801
{'hecke_orbit_code': 4503599694479507, 'n': 8, 'trace_an': 21}
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id: 18631802
{'hecke_orbit_code': 4503599694479507, 'n': 9, 'trace_an': 9}
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id: 18631803
{'hecke_orbit_code': 4503599694479507, 'n': 10, 'trace_an': 9}
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id: 18631804
{'hecke_orbit_code': 4503599694479507, 'n': 11, 'trace_an': -15}
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id: 18631805
{'hecke_orbit_code': 4503599694479507, 'n': 12, 'trace_an': 3}
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id: 18631806
{'hecke_orbit_code': 4503599694479507, 'n': 13, 'trace_an': -64}
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id: 18631807
{'hecke_orbit_code': 4503599694479507, 'n': 14, 'trace_an': 0}
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id: 18631808
{'hecke_orbit_code': 4503599694479507, 'n': 15, 'trace_an': -9}
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id: 18631809
{'hecke_orbit_code': 4503599694479507, 'n': 16, 'trace_an': -71}
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id: 18631810
{'hecke_orbit_code': 4503599694479507, 'n': 17, 'trace_an': 84}
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id: 18631811
{'hecke_orbit_code': 4503599694479507, 'n': 18, 'trace_an': -27}
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id: 18631812
{'hecke_orbit_code': 4503599694479507, 'n': 19, 'trace_an': -16}
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id: 18631813
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