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{'Nk2': 30000, 'analytic_conductor': 110.62858126076365, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [1875, 1, [626, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 24, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [2143086336, -683935488, -36268432128, -25296011424, 103645264464, 53604742752, -112662969216, -30855369696, 52189458472, 8370959648, -12904604448, -1307388326, 1918039369, 128823632, -181797882, -8329949, 11247807, 354292, -452004, -9556, 11359, 148, -162, -1, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595968186195, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1875.4.a.l', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '1875.4.a.k', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 24, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1875.4.a', 'trace_display': [1, 72, 0, 62], 'traces': [24, 1, 72, 133, 0, 3, 62, 27, 216, 0, 96, 399, 156, 92, 0, 845, -46, 9, 182, 0, 186, 158, -286, 81, 0, 478, 648, 701, 1144, 0, 64, 1212, 288, 961, 0, 1197, 762, 474, 468, 0, 1074, 276, 460, 319, 0, 459, -960, 2535, 2680, 0, -138, 2969, 914, 27, 0, 1680, 546, 208, 208, 0, 3520, 334, 558, 5747, 0, 474, 154, -5727, -858, 0, -252, 243, 4414, 5637, 0, 627, 2344, 1434, 1110, 0, 1944, 3714, -1488, 2103, 0, 3036, 3432, 3947, 3402, 0, 3504, -11163, 192, 3408, 0, 3636, 534, 2244, 864, 0, 4736, 2883, 3530, 5302, 0, 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mf_hecke_cc • Show schema
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'label': '1875.4.a.l.1.2', 'level': 1875, 'weight': 4}
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{'AL_dims': [[[[3, -1], [5, -1]], 66, 3], [[[3, 1], [5, 1]], 62, 4], [[[3, 1], [5, -1]], 58, 3], [[[3, -1], [5, 1]], 54, 4]], 'ALdims': [62, 58, 54, 66], 'Nk2': 30000, 'analytic_conductor': 110.62858126076365, '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': [1875, 1, [626, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 720, 'dim': 240, 'eis_dim': 60, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67110739, 'hecke_orbit_dims': [10, 10, 10, 10, 14, 14, 14, 14, 16, 16, 24, 24, 32, 32], 'label': '1875.4.a', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 780, 'mf_new_dim': 240, 'num_forms': 14, 'plus_dim': 128, 'prim_orbit_index': 1, 'relative_dim': 240, 'sturm_bound': 1000, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 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0, 0, -1874180, 0, -2078700, 0, 0, -76680, 0, -3129700, 0, 0, -1245600, 0, -218600, 0, 0, -935900, 0, 1093860, 0, 0, -885540, 0, 3528000, 0, 0, 1073040, 0, 2164980, 0, 0, -2064520, 0, -109800, 0, 0, -340800, 0, -491240, 0, 0, 4825600, 0, -3441300, 0, 0, 2312920, 0, 511800, 0, 0, 210060, 0, -1544140, 0, 0, -1862400, 0, -316940, 0, 0, 1723480, 0, 24840, 0, 0, 269640, 0, -1040600, 0, 0, -235860, 0, 125260, 0, 0, 482140, 0, 263520, 0, 0, 243600, 0, 3354180, 0, 0, 1118840, 0, -732220, 0, 0, -1520780, 0, -172980, 0, 0, 112320, 0, 1072520, 0, 0, -2391920, 0, -2318320, 0, 0, 882180, 0, 852420, 0, 0, -1787580, 0, -605880, 0, 0, 1030780, 0, 812720, 0, 0, -415940, 0, 699840, 0, 0, 1534260, 0, -611280, 0, 0, -1417780, 0, -756700, 0, 0, 2856380, 0, 722040, 0, 0, -567000, 0, -2947660, 0, 0, 429440, 0, -1926700, 0, 0, -1152280, 0, 958320, 0, 0, 435840, 0, -220960, 0, 0, -157700, 0, 2839460, 0, 0, -1633920, 0, -522360, 0, 0, 2490960, 0, -5012060, 0, 0, -4398740, 0, -739460, 0, 0, 977680, 0, -1349820, 0, 0, 356040, 0, -608680, 0, 0, -1504980, 0, 3585400, 0, 0, -3559240, 0, 351840, 0, 0, 1313460, 0, 787640, 0, 0, -4245120, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 47356734
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 24, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595968186195, 'source_is_minimal': True, 'source_label': '1875.4.a.l.1.2', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595968186195, 'target_is_minimal': True, 'target_label': '1875.4.a.l.1.2', 'target_level': 1875, 'twist_class_label': '1875.4.a.k.1.23', 'twist_class_level': 1875, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 47356735
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 24, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595968186195, 'source_is_minimal': True, 'source_label': '1875.4.a.l.1.2', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 24, 'target_embedding_index': 23, 'target_hecke_orbit_code': 45035996340815699, 'target_is_minimal': True, 'target_label': '1875.4.a.k.1.23', 'target_level': 1875, 'twist_class_label': '1875.4.a.k.1.23', 'twist_class_level': 1875, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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hecke_orbit_code 49539595968186195 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1875.4.a.l', 'level': 1875, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 219664000
{'hecke_orbit_code': 49539595968186195, 'n': 1, 'trace_an': 24}
-
id: 219664001
{'hecke_orbit_code': 49539595968186195, 'n': 2, 'trace_an': 1}
-
id: 219664002
{'hecke_orbit_code': 49539595968186195, 'n': 3, 'trace_an': 72}
-
id: 219664003
{'hecke_orbit_code': 49539595968186195, 'n': 4, 'trace_an': 133}
-
id: 219664004
{'hecke_orbit_code': 49539595968186195, 'n': 5, 'trace_an': 0}
-
id: 219664005
{'hecke_orbit_code': 49539595968186195, 'n': 6, 'trace_an': 3}
-
id: 219664006
{'hecke_orbit_code': 49539595968186195, 'n': 7, 'trace_an': 62}
-
id: 219664007
{'hecke_orbit_code': 49539595968186195, 'n': 8, 'trace_an': 27}
-
id: 219664008
{'hecke_orbit_code': 49539595968186195, 'n': 9, 'trace_an': 216}
-
id: 219664009
{'hecke_orbit_code': 49539595968186195, 'n': 10, 'trace_an': 0}
-
id: 219664010
{'hecke_orbit_code': 49539595968186195, 'n': 11, 'trace_an': 96}
-
id: 219664011
{'hecke_orbit_code': 49539595968186195, 'n': 12, 'trace_an': 399}
-
id: 219664012
{'hecke_orbit_code': 49539595968186195, 'n': 13, 'trace_an': 156}
-
id: 219664013
{'hecke_orbit_code': 49539595968186195, 'n': 14, 'trace_an': 92}
-
id: 219664014
{'hecke_orbit_code': 49539595968186195, 'n': 15, 'trace_an': 0}
-
id: 219664015
{'hecke_orbit_code': 49539595968186195, 'n': 16, 'trace_an': 845}
-
id: 219664016
{'hecke_orbit_code': 49539595968186195, 'n': 17, 'trace_an': -46}
-
id: 219664017
{'hecke_orbit_code': 49539595968186195, 'n': 18, 'trace_an': 9}
-
id: 219664018
{'hecke_orbit_code': 49539595968186195, 'n': 19, 'trace_an': 182}
-
id: 219664019
{'hecke_orbit_code': 49539595968186195, 'n': 20, 'trace_an': 0}
-
id: 219664020
{'hecke_orbit_code': 49539595968186195, 'n': 21, 'trace_an': 186}
-
id: 219664021
{'hecke_orbit_code': 49539595968186195, 'n': 22, 'trace_an': 158}
-
id: 219664022
{'hecke_orbit_code': 49539595968186195, 'n': 23, 'trace_an': -286}
-
id: 219664023
{'hecke_orbit_code': 49539595968186195, 'n': 24, 'trace_an': 81}
-
id: 219664024
{'hecke_orbit_code': 49539595968186195, 'n': 25, 'trace_an': 0}
-
id: 219664025
{'hecke_orbit_code': 49539595968186195, 'n': 26, 'trace_an': 478}
-
id: 219664026
{'hecke_orbit_code': 49539595968186195, 'n': 27, 'trace_an': 648}
-
id: 219664027
{'hecke_orbit_code': 49539595968186195, 'n': 28, 'trace_an': 701}
-
id: 219664028
{'hecke_orbit_code': 49539595968186195, 'n': 29, 'trace_an': 1144}
-
id: 219664029
{'hecke_orbit_code': 49539595968186195, 'n': 30, 'trace_an': 0}
-
id: 219664030
{'hecke_orbit_code': 49539595968186195, 'n': 31, 'trace_an': 64}
-
id: 219664031
{'hecke_orbit_code': 49539595968186195, 'n': 32, 'trace_an': 1212}
-
id: 219664032
{'hecke_orbit_code': 49539595968186195, 'n': 33, 'trace_an': 288}
-
id: 219664033
{'hecke_orbit_code': 49539595968186195, 'n': 34, 'trace_an': 961}
-
id: 219664034
{'hecke_orbit_code': 49539595968186195, 'n': 35, 'trace_an': 0}
-
id: 219664035
{'hecke_orbit_code': 49539595968186195, 'n': 36, 'trace_an': 1197}
-
id: 219664036
{'hecke_orbit_code': 49539595968186195, 'n': 37, 'trace_an': 762}
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