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{'Nk2': 15424, 'analytic_conductor': 30.790315019405718, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [241, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3856, 1, [3375, 965, 2417], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 32354823033956684288, 'field_disc_factorization': [[2, 9], [97, 1], [651474368435017, 1]], 'field_poly': [-1, 18, -45, -328, 105, 444, -123, -219, 65, 44, -14, -3, 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, [64, -400, -992, 960, 1540, -725, -888, 210, 224, -25, -25, 1, 1]], [5, [62, -347, 339, 1071, -2193, 497, 1301, -797, -68, 134, -14, -6, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189374736, 'hecke_ring_generator_nbound': 7, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3856.2.a.n', 'level': 3856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 241], 'level_radical': 482, 'minimal_twist': '241.2.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{8}q^{3}+(1-\\beta _{9})q^{5}+(-\\beta _{4}+\\beta _{5}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3856.2.a', 'trace_display': [0, -1, 6, -3], 'trace_hash': 861554319276732763, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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{'AL_dims': [[[[2, -1], [241, 1]], 33, 6], [[[2, -1], [241, -1]], 27, 4], [[[2, 1], [241, -1]], 33, 3], [[[2, 1], [241, 1]], 27, 4]], 'ALdims': [27, 33, 33, 27], 'Nk2': 15424, 'analytic_conductor': 30.790315019405718, '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': [3856, 1, [3375, 965, 2417], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 479, 'dim': 120, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33558288, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 3, 6, 7, 7, 9, 11, 12, 12, 13, 13, 19], 'label': '3856.2.a', 'level': 3856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 241], 'level_radical': 482, 'mf_dim': 490, 'mf_new_dim': 120, 'num_forms': 17, 'plus_dim': 54, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 968, 'trace_bound': 5, 'trace_display': 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mf_twists_cc • Show schema
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id: 47643000
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189374736, 'source_is_minimal': False, 'source_label': '3856.2.a.n.1.5', 'source_level': 3856, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58546795189374736, 'target_is_minimal': False, 'target_label': '3856.2.a.n.1.5', 'target_level': 3856, 'twist_class_label': '241.2.a.b.1.11', 'twist_class_level': 241, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47643001
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189374736, 'source_is_minimal': False, 'source_label': '3856.2.a.n.1.5', 'source_level': 3856, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4503599660925169, 'target_is_minimal': True, 'target_label': '241.2.a.b.1.11', 'target_level': 241, 'twist_class_label': '241.2.a.b.1.11', 'twist_class_level': 241, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47643002
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189374736, 'source_is_minimal': False, 'source_label': '3856.2.a.n.1.5', 'source_level': 3856, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425150073, 'target_is_minimal': False, 'target_label': '2169.2.a.h.1.2', 'target_level': 2169, 'twist_class_label': '241.2.a.b.1.11', 'twist_class_level': 241, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47643003
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 58546795189374736, 'source_is_minimal': False, 'source_label': '3856.2.a.n.1.5', 'source_level': 3856, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425153929, 'target_is_minimal': False, 'target_label': '6025.2.a.h.1.2', 'target_level': 6025, 'twist_class_label': '241.2.a.b.1.11', 'twist_class_level': 241, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3397775
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 58546795189374736, 'p': 2}
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id: 3397776
{'charpoly_factorization': [[[64, -400, -992, 960, 1540, -725, -888, 210, 224, -25, -25, 1, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 3}
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id: 3397777
{'charpoly_factorization': [[[62, -347, 339, 1071, -2193, 497, 1301, -797, -68, 134, -14, -6, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 5}
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id: 3397778
{'charpoly_factorization': [[[4, 53, 200, 131, -588, -855, 263, 854, 245, -96, -33, 3, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 7}
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id: 3397779
{'charpoly_factorization': [[[128, 1460, 5900, 9672, 3100, -9811, -12739, -5545, -215, 553, 177, 22, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 11}
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id: 3397780
{'charpoly_factorization': [[[-52672, -441248, -90512, 288472, 69802, -64645, -15049, 6470, 1425, -296, -62, 5, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 13}
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id: 3397781
{'charpoly_factorization': [[[154144, -302576, -261264, 295792, 159474, -87027, -35221, 9972, 2997, -370, -97, 4, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 17}
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id: 3397782
{'charpoly_factorization': [[[-3556280, 3617301, 903711, -1614089, 58969, 247081, -28947, -16891, 2538, 524, -86, -6, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 19}
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id: 3397783
{'charpoly_factorization': [[[-116949436, -276824423, -182523158, -31479187, 11455889, 5191210, 372702, -138011, -28306, -627, 304, 32, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 23}
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id: 3397784
{'charpoly_factorization': [[[58109390, -179077009, 164527164, -50865568, -3169769, 4236578, -355685, -116722, 15216, 1375, -213, -6, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 29}
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id: 3397785
{'charpoly_factorization': [[[-318193616, -468437780, 77270368, 108211396, 841016, -8192365, -688338, 208450, 22930, -2167, -262, 8, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 31}
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id: 3397786
{'charpoly_factorization': [[[50796928, -18033984, -29177888, 5067040, 4698614, -619307, -323567, 36249, 10466, -928, -159, 8, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 37}
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id: 3397787
{'charpoly_factorization': [[[-63338, -4034251, -930334, 9341574, -976432, -2920817, -471938, 92737, 21111, -708, -262, 1, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 41}
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id: 3397788
{'charpoly_factorization': [[[12503272, 1488169, -25360675, 4519982, 6500883, -657869, -569920, 18272, 18808, 26, -237, -2, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 43}
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id: 3397789
{'charpoly_factorization': [[[53297792, -37689968, -69239488, -11362328, 11628792, 4772881, 233524, -179952, -34508, -851, 332, 34, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 47}
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id: 3397790
{'charpoly_factorization': [[[-3014, 298853, 6874728, -11787807, 1527793, 1538756, -270515, -65448, 12170, 1019, -195, -5, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 53}
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id: 3397791
{'charpoly_factorization': [[[-25476160, -96501648, -59605584, 36571744, 47289076, 17302787, 2412075, -67258, -57444, -5338, 22, 26, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 59}
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id: 3397792
{'charpoly_factorization': [[[10893274, -29191311, 16419914, 10617016, -8091392, -1560634, 801476, 117122, -22505, -3955, 20, 26, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 61}
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id: 3397793
{'charpoly_factorization': [[[4538509504, -4714883120, -678403520, 669419464, 75258180, -29459511, -3555172, 474596, 62307, -2947, -429, 6, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 67}
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id: 3397794
{'charpoly_factorization': [[[-12017198348, -39886445545, -42976926619, -21246049133, -5606812300, -801669175, -46063490, 3647013, 918997, 79770, 3737, 94, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 71}
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id: 3397795
{'charpoly_factorization': [[[2219968, 25741920, 64034288, -76860088, -83908922, -7168229, 3607447, 533877, -28097, -7860, -208, 22, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 73}
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id: 3397796
{'charpoly_factorization': [[[-1277319040, -3418562576, 1017318496, 2331826216, 163831840, -90986869, -7904508, 1163461, 109307, -5783, -581, 9, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 79}
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id: 3397797
{'charpoly_factorization': [[[98860915136, 10813065520, -10895951696, -1151271176, 452061900, 42544271, -9197429, -669374, 100342, 4386, -548, -8, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 83}
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id: 3397798
{'charpoly_factorization': [[[-1500609440, -3427797584, -829552176, 490376448, 124536598, -21479633, -5233031, 305681, 79002, -1663, -479, 3, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 89}
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id: 3397799
{'charpoly_factorization': [[[107861318, -194920563, -162786822, 64432913, 85302025, 27963948, 3390903, -118070, -70766, -5577, 85, 29, 1], 1]], 'hecke_orbit_code': 58546795189374736, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '3856.2.a.n', 'level': 3856, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 226683000
{'hecke_orbit_code': 58546795189374736, 'n': 1, 'trace_an': 12}
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id: 226683001
{'hecke_orbit_code': 58546795189374736, 'n': 2, 'trace_an': 0}
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id: 226683002
{'hecke_orbit_code': 58546795189374736, 'n': 3, 'trace_an': -1}
-
id: 226683003
{'hecke_orbit_code': 58546795189374736, 'n': 4, 'trace_an': 0}
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id: 226683004
{'hecke_orbit_code': 58546795189374736, 'n': 5, 'trace_an': 6}
-
id: 226683005
{'hecke_orbit_code': 58546795189374736, 'n': 6, 'trace_an': 0}
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id: 226683006
{'hecke_orbit_code': 58546795189374736, 'n': 7, 'trace_an': -3}
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id: 226683007
{'hecke_orbit_code': 58546795189374736, 'n': 8, 'trace_an': 0}
-
id: 226683008
{'hecke_orbit_code': 58546795189374736, 'n': 9, 'trace_an': 15}
-
id: 226683009
{'hecke_orbit_code': 58546795189374736, 'n': 10, 'trace_an': 0}
-
id: 226683010
{'hecke_orbit_code': 58546795189374736, 'n': 11, 'trace_an': -22}
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id: 226683011
{'hecke_orbit_code': 58546795189374736, 'n': 12, 'trace_an': 0}
-
id: 226683012
{'hecke_orbit_code': 58546795189374736, 'n': 13, 'trace_an': -5}
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id: 226683013
{'hecke_orbit_code': 58546795189374736, 'n': 14, 'trace_an': 0}
-
id: 226683014
{'hecke_orbit_code': 58546795189374736, 'n': 15, 'trace_an': -13}
-
id: 226683015
{'hecke_orbit_code': 58546795189374736, 'n': 16, 'trace_an': 0}
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id: 226683016
{'hecke_orbit_code': 58546795189374736, 'n': 17, 'trace_an': -4}
-
id: 226683017
{'hecke_orbit_code': 58546795189374736, 'n': 18, 'trace_an': 0}
-
id: 226683018
{'hecke_orbit_code': 58546795189374736, 'n': 19, 'trace_an': 6}
-
id: 226683019
{'hecke_orbit_code': 58546795189374736, 'n': 20, 'trace_an': 0}
-
id: 226683020
{'hecke_orbit_code': 58546795189374736, 'n': 21, 'trace_an': -14}
-
id: 226683021
{'hecke_orbit_code': 58546795189374736, 'n': 22, 'trace_an': 0}
-
id: 226683022
{'hecke_orbit_code': 58546795189374736, 'n': 23, 'trace_an': -32}
-
id: 226683023
{'hecke_orbit_code': 58546795189374736, 'n': 24, 'trace_an': 0}
-
id: 226683024
{'hecke_orbit_code': 58546795189374736, 'n': 25, 'trace_an': 4}
-
id: 226683025
{'hecke_orbit_code': 58546795189374736, 'n': 26, 'trace_an': 0}
-
id: 226683026
{'hecke_orbit_code': 58546795189374736, 'n': 27, 'trace_an': 5}
-
id: 226683027
{'hecke_orbit_code': 58546795189374736, 'n': 28, 'trace_an': 0}
-
id: 226683028
{'hecke_orbit_code': 58546795189374736, 'n': 29, 'trace_an': 6}
-
id: 226683029
{'hecke_orbit_code': 58546795189374736, 'n': 30, 'trace_an': 0}
-
id: 226683030
{'hecke_orbit_code': 58546795189374736, 'n': 31, 'trace_an': -8}
-
id: 226683031
{'hecke_orbit_code': 58546795189374736, 'n': 32, 'trace_an': 0}
-
id: 226683032
{'hecke_orbit_code': 58546795189374736, 'n': 33, 'trace_an': -24}
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id: 226683033
{'hecke_orbit_code': 58546795189374736, 'n': 34, 'trace_an': 0}
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{'hecke_orbit_code': 58546795189374736, 'n': 996, 'trace_an': 0}
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id: 226683996
{'hecke_orbit_code': 58546795189374736, 'n': 997, 'trace_an': -46}
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id: 226683997
{'hecke_orbit_code': 58546795189374736, 'n': 998, 'trace_an': 0}
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id: 226683998
{'hecke_orbit_code': 58546795189374736, 'n': 999, 'trace_an': -119}
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id: 226683999
{'hecke_orbit_code': 58546795189374736, 'n': 1000, 'trace_an': 0}