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{'Nk2': 6624, 'analytic_conductor': 24.426790742376614, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [23, 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': [414, 1, [47, 235], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2905897424, 'field_disc_factorization': [[2, 4], [4349, 1], [41761, 1]], 'field_poly': [3240, -468, -219, -2, 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': [[5, [23916, -904, -380, 0, 1]], [7, [182936, 9840, -1062, -18, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195595555230, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '414.4.a.m', 'level': 414, '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, 3, 23], 'level_radical': 138, 'minimal_twist': '414.4.a.m', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+4q^{4}-\\beta _{3}q^{5}+(5+\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '414.4.a', 'trace_display': [-8, 0, 0, 18], 'trace_hash': 2240374466852610005, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.066', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.850', 'prec': 17}, 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mf_hecke_nf • Show schema
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-3822], [79571, 1757, -5700, 5912], [64389, -3971, 3534, 1474], [7474, -2551, -4419, 3011], [16089, -1587, 1978, 8892], [3191, 651, -5122, 6365], [23439, -1917, -2764, 1162], [48144, -1076, 488, 5618], [73015, -3395, 3552, -64], [-107020, -1249, 1203, -371], [-57865, 2847, 1738, -59], [99794, -1068, -132, -4072], [98651, -2167, 120, 6990], [82568, -1012, 3126, -11620], [-2631, -6209, 180, 3662], [176512, 2773, 4005, -1098], [-34892, -2318, -1818, 10778], [47056, 2686, 1522, -8147], [105148, -1369, -219, -1041], [-97948, 548, -5584, -8256], [86561, 6203, 4346, -10504], [96812, -1974, -1108, 3436], [16517, -1807, 3734, -11994], [-40142, -3569, -2719, 5247], [136800, -252, 340, -5336], [-83806, 4794, 572, 1698], [27114, -4554, 3614, 2936]], 'char_orbit_index': 1, 'field_poly': [3240, -468, -219, -2, 1], 'hecke_orbit_code': 54043195595555230, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 18, 6], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [1, 1, 0, 0], [221, 5, 0, 12], [1381, 193, 36, 60]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-1, 2, 0, 0], [-54, -168, -5, 1], [-108, -5, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '414.4.a.m', 'level': 414, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [4, 2, 4, 5, 2, 4, 4, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [26, 20, 21, 22, 26, 20, 23, 22], 'Nk2': 6624, 'analytic_conductor': 24.426790742376614, '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': [414, 1, [47, 235], [1, 1]], 'conrey_index': 1, 'cusp_dim': 208, 'dim': 28, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 67109278, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '414.4.a', 'level': 414, '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, 3, 23], 'level_radical': 138, 'mf_dim': 224, 'mf_new_dim': 28, 'num_forms': 14, 'plus_dim': 17, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [-4, 0, -10, 40], 'traces': [28, -4, 0, 112, -10, 0, 40, -16, 0, 4, 34, 0, 4, 40, 0, 448, -88, 0, -98, -40, 0, 148, 0, 0, 616, -120, 0, 160, 208, 0, 452, -64, 0, -256, 352, 0, -310, -60, 0, 16, -192, 0, -214, 136, 0, 92, -156, 0, 1876, -420, 0, 16, 1810, 0, 424, 160, 0, 512, -216, 0, 1538, 128, 0, 1792, 2840, 0, 1250, -352, 0, 544, 2436, 0, 1944, 220, 0, -392, -1048, 0, 1980, -160, 0, -352, 742, 0, 2620, 1404, 0, 592, 2136, 0, -644, 0, 0, -816, -2128, 0, -1824, 540, 0, 2464, -2048, 0, 324, -480, 0, -1772, -1334, 0, 1378, -592, 0, 640, -5212, 0, 230, 832, 0, -1360, -1520, 0, 1368, 4548, 0, 1808, -5484, 0, 4228, -256, 0, -2440, -852, 0, 1552, -812, 0, -1024, 612, 0, -3948, 1408, 0, -288, 9160, 0, -4816, -3472, 0, -1240, -7334, 0, -14564, -240, 0, -4784, -2676, 0, -10490, 3608, 0, 64, -2760, 0, 1904, -768, 0, -4372, -7000, 0, 5672, -968, 0, -856, -8244, 0, -8392, 544, 0, 168, 5824, 0, -5018, -6048, 0, 368, 3508, 0, -1204, -624, 0, -6240, 11872, 0, 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102056, -19312, 0, 28328, 59676, 0, 20164, -51816, 0, -41856, 7512, 0, 77740, 2560, 0, -55904, 64692, 0, 152148, 207000, 0, -3808, 137460, 0, 248386, 43080, 0, 189088, 189628, 0, 76524, 7936, 0, -53240, -32988, 0, -32392, -9200, 0, 29600, -61164, 0, 37078, 63984, 0, 8192, -100776, 0, 176574, -35760, 0, 61660, 63568, 0, 30732, -83920, 0, -66000, -24378, 0, -11316, -3456, 0, 55080, 22296, 0, 43764, 178012, 0, 20032, -67780, 0, -61320, -89136, 0, 136672, -98184, 0, 180288, 86184, 0, 22752, 173560, 0, 50076, -25392, 0, -46776, 14102, 0, -20620, -64272, 0, 24608, -160536, 0, -205852, -2856, 0, 23816, -162324, 0, -23472, 135248, 0, 61840, -16790, 0, -22936, 2048, 0, -109088, 10216, 0, -140388, 67032, 0, -36192], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 306883
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '414.4.a.m', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '414.4.a.m', 'target_level': 414, 'twist_class_label': '414.4.a.m', 'twist_class_level': 414, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 306884
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': True, 'source_label': '414.4.a.m', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '414.4.a.n', 'target_level': 414, 'twist_class_label': '414.4.a.m', 'twist_class_level': 414, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 854950
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 54043195595555230, 'p': 2}
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id: 854951
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043195595555230, 'p': 3}
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id: 854952
{'charpoly_factorization': [[[23916, -904, -380, 0, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 5}
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id: 854953
{'charpoly_factorization': [[[182936, 9840, -1062, -18, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 7}
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id: 854954
{'charpoly_factorization': [[[-676368, -70824, -1286, 42, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 11}
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id: 854955
{'charpoly_factorization': [[[-1528096, 56208, 2172, -108, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 13}
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id: 854956
{'charpoly_factorization': [[[-160272, 150936, -9842, 26, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 17}
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id: 854957
{'charpoly_factorization': [[[-144765684, 3832624, -20436, -132, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 19}
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id: 854958
{'charpoly_factorization': [[[23, 1], 4]], 'hecke_orbit_code': 54043195595555230, 'p': 23}
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id: 854959
{'charpoly_factorization': [[[152282592, -3259056, -20084, 252, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 29}
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id: 854960
{'charpoly_factorization': [[[189998432, 7632624, 10636, -428, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 31}
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id: 854961
{'charpoly_factorization': [[[-627096, 123880, -1466, -278, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 37}
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id: 854962
{'charpoly_factorization': [[[59580480, 9056128, -83596, -4, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 41}
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id: 854963
{'charpoly_factorization': [[[4885011324, 10222616, -186164, -216, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 43}
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id: 854964
{'charpoly_factorization': [[[-3721395696, -55262480, -225688, -4, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 47}
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id: 854965
{'charpoly_factorization': [[[28977105756, 102802304, -340700, -460, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 53}
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id: 854966
{'charpoly_factorization': [[[18288334080, 74533248, -232796, -504, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 59}
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id: 854967
{'charpoly_factorization': [[[-33871710232, 125858184, 172038, -1086, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 61}
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id: 854968
{'charpoly_factorization': [[[-5950476756, -36141264, 578748, -1484, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 67}
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id: 854969
{'charpoly_factorization': [[[47749357440, 231812256, -300572, -876, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 71}
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id: 854970
{'charpoly_factorization': [[[-13734027872, 26030192, 289532, -1072, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 73}
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id: 854971
{'charpoly_factorization': [[[-102430136424, 559745728, 48178, -1634, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 79}
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id: 854972
{'charpoly_factorization': [[[-16894365072, -258082232, 1484322, -2246, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 83}
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id: 854973
{'charpoly_factorization': [[[815730086592, 274258992, -1967114, -474, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 89}
-
id: 854974
{'charpoly_factorization': [[[411321121872, 810806768, -1601096, -1044, 1], 1]], 'hecke_orbit_code': 54043195595555230, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '414.4.a.m', 'level': 414, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 57892081
{'hecke_orbit_code': 54043195595555230, 'n': 1, 'trace_an': 4}
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id: 57892082
{'hecke_orbit_code': 54043195595555230, 'n': 2, 'trace_an': -8}
-
id: 57892083
{'hecke_orbit_code': 54043195595555230, 'n': 3, 'trace_an': 0}
-
id: 57892084
{'hecke_orbit_code': 54043195595555230, 'n': 4, 'trace_an': 16}
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id: 57892085
{'hecke_orbit_code': 54043195595555230, 'n': 5, 'trace_an': 0}
-
id: 57892086
{'hecke_orbit_code': 54043195595555230, 'n': 6, 'trace_an': 0}
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id: 57892087
{'hecke_orbit_code': 54043195595555230, 'n': 7, 'trace_an': 18}
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id: 57892088
{'hecke_orbit_code': 54043195595555230, 'n': 8, 'trace_an': -32}
-
id: 57892089
{'hecke_orbit_code': 54043195595555230, 'n': 9, 'trace_an': 0}
-
id: 57892090
{'hecke_orbit_code': 54043195595555230, 'n': 10, 'trace_an': 0}
-
id: 57892091
{'hecke_orbit_code': 54043195595555230, 'n': 11, 'trace_an': -42}
-
id: 57892092
{'hecke_orbit_code': 54043195595555230, 'n': 12, 'trace_an': 0}
-
id: 57892093
{'hecke_orbit_code': 54043195595555230, 'n': 13, 'trace_an': 108}
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id: 57892094
{'hecke_orbit_code': 54043195595555230, 'n': 14, 'trace_an': -36}
-
id: 57892095
{'hecke_orbit_code': 54043195595555230, 'n': 15, 'trace_an': 0}
-
id: 57892096
{'hecke_orbit_code': 54043195595555230, 'n': 16, 'trace_an': 64}
-
id: 57892097
{'hecke_orbit_code': 54043195595555230, 'n': 17, 'trace_an': -26}
-
id: 57892098
{'hecke_orbit_code': 54043195595555230, 'n': 18, 'trace_an': 0}
-
id: 57892099
{'hecke_orbit_code': 54043195595555230, 'n': 19, 'trace_an': 132}
-
id: 57892100
{'hecke_orbit_code': 54043195595555230, 'n': 20, 'trace_an': 0}
-
id: 57892101
{'hecke_orbit_code': 54043195595555230, 'n': 21, 'trace_an': 0}
-
id: 57892102
{'hecke_orbit_code': 54043195595555230, 'n': 22, 'trace_an': 84}
-
id: 57892103
{'hecke_orbit_code': 54043195595555230, 'n': 23, 'trace_an': -92}
-
id: 57892104
{'hecke_orbit_code': 54043195595555230, 'n': 24, 'trace_an': 0}
-
id: 57892105
{'hecke_orbit_code': 54043195595555230, 'n': 25, 'trace_an': 260}
-
id: 57892106
{'hecke_orbit_code': 54043195595555230, 'n': 26, 'trace_an': -216}
-
id: 57892107
{'hecke_orbit_code': 54043195595555230, 'n': 27, 'trace_an': 0}
-
id: 57892108
{'hecke_orbit_code': 54043195595555230, 'n': 28, 'trace_an': 72}
-
id: 57892109
{'hecke_orbit_code': 54043195595555230, 'n': 29, 'trace_an': -252}
-
id: 57892110
{'hecke_orbit_code': 54043195595555230, 'n': 30, 'trace_an': 0}
-
id: 57892111
{'hecke_orbit_code': 54043195595555230, 'n': 31, 'trace_an': 428}
-
id: 57892112
{'hecke_orbit_code': 54043195595555230, 'n': 32, 'trace_an': -128}
-
id: 57892113
{'hecke_orbit_code': 54043195595555230, 'n': 33, 'trace_an': 0}
-
id: 57892114
{'hecke_orbit_code': 54043195595555230, 'n': 34, 'trace_an': 52}
-
id: 57892115
{'hecke_orbit_code': 54043195595555230, 'n': 35, 'trace_an': -348}
-
id: 57892116
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