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- 2025-07-20T13:45:28.386991+00:00
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mf_newforms • Show schema
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{'Nk2': 1936, 'analytic_conductor': 7.139231110694614, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [121, 5, [2], [4]], 'cm_discs': [], 'conrey_index': 3, 'dim': 8, 'field_disc': 324000000, 'field_disc_factorization': [[2, 8], [3, 4], [5, 6]], 'field_poly': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [14641, 2662, 1815, 572, 269, -52, 15, -2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021735270285433, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '121.4.c.g', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'minimal_twist': '121.4.a.b', 'nf_label': '8.0.324000000.3', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{2}+\\beta _{7})q^{2}+(\\beta _{1}-4\\beta _{6})q^{3}+(2\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '121.4.c', 'trace_display': [2, 8, 10, 8], 'trace_hash': 376238526291547437, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, -4, 0], [0, 2, 0, 2, 5, 2, 0, 2], [5, 0, 5, 1, 5, 0, 5, 0], [-16, 0, -16, -5, -16, 0, -16, 0], [0, 7, 0, 7, -4, 7, 0, 7], [0, -1, 0, 0, 0, 0, -21, 0], [0, 0, 1, 0, 0, 0, 0, -8], [17, 0, 0, 0, 0, -6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-44, 0, 0, 0, 0, 13, 0, 0], [0, 0, 65, 0, 0, 0, 0, 1], [0, 3, 0, 0, 0, 0, -80, 0], [0, 9, 0, 9, 32, 9, 0, 9], [31, 0, 31, -4, 31, 0, 31, 0], [7, 0, 7, 18, 7, 0, 7, 0], [0, -9, 0, -9, -97, -9, 0, -9], [0, -9, 0, 0, 0, 0, -24, 0], [0, 0, -49, 0, 0, 0, 0, 15], [-68, 0, 0, 0, 0, 24, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-64, 0, 0, 0, 0, -33, 0, 0], [0, 0, 72, 0, 0, 0, 0, -17], [0, -10, 0, 0, 0, 0, -88, 0], [0, -64, 0, -64, -53, -64, 0, -64], [-8, 0, -8, 6, -8, 0, -8, 0], [-148, 0, -148, -27, -148, 0, -148, 0], [0, -37, 0, -37, -15, -37, 0, -37], [0, 41, 0, 0, 0, 0, -140, 0], [0, 0, -92, 0, 0, 0, 0, 47], [151, 0, 0, 0, 0, -19, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [223, 0, 0, 0, 0, -25, 0, 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14307, 0, 0, 0, 0, -12790], [0, -944, 0, -944, -27756, -944, 0, -944], [-20348, 0, 0, 0, 0, -9328, 0, 0], [0, 12701, 0, 12701, -10751, 12701, 0, 12701]], 'char_orbit_index': 3, 'field_poly': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'hecke_orbit_code': 27021735270285433, 'hecke_ring_character_values': [[2, [0, 0, 0, 0, 1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 3, 9, 9, 27, 27], 'hecke_ring_inverse_denominators': [1, 2, 1, 2, 1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 27, 0], [0, 0, 0, 0, 0, 0, 0, 27]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '121.4.c.g', 'level': 121, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 1936, 'analytic_conductor': 7.139231110694614, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [121, 5, [2], [4]], 'conrey_index': 3, 'cusp_dim': 108, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 32, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137506062457, 'hecke_orbit_dims': [4, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '121.4.c', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'mf_dim': 156, 'mf_new_dim': 124, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 23, 'sturm_bound': 44, 'trace_bound': 3, 'trace_display': [7, 5, 3, 35], 'traces': [92, 7, 5, -83, 3, 29, 35, -47, -182, -40, 0, -358, 65, 248, 83, 245, 31, 102, -148, -426, -334, 0, 52, 447, 148, 148, -166, 42, 199, 114, 369, -324, 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mf_twists_nf • Show schema
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id: 105205
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '121.4.a.b', 'target_level': 121, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 105206
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '121.4.a.e', 'target_level': 121, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 105207
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '121.4.c.d', 'target_level': 121, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 105208
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '121.4.c.d', 'target_level': 121, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 105209
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '121.4.c.g', 'target_level': 121, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 105210
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '121.4.c.g', 'target_level': 121, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 105211
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1089.4.a.k', 'target_level': 1089, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 105212
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1089.4.a.x', 'target_level': 1089, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 105213
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1936.4.a.y', 'target_level': 1936, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '44.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 105214
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 8, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '121.4.c.g', 'source_level': 121, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1936.4.a.z', 'target_level': 1936, 'twist_class_label': '121.4.a.b', 'twist_class_level': 121, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 342875
{'charpoly_factorization': [[[14641, 2662, 1815, 572, 269, -52, 15, -2, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 2}
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id: 342876
{'charpoly_factorization': [[[256, -512, 960, -1792, 3344, -448, 60, -8, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 3}
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id: 342877
{'charpoly_factorization': [[[28561, -21970, 14703, -9620, 6269, -740, 87, -10, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 5}
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id: 342878
{'charpoly_factorization': [[[107049369856, 1497193984, 208089024, 5527808, 441104, -9664, 636, -8, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 7}
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id: 342879
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27021735270285433, 'p': 11}
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id: 342880
{'charpoly_factorization': [[[315040099898161, 9721151907610, 225186244503, 4641125060, 89760269, 1101620, 12687, 130, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 13}
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id: 342881
{'charpoly_factorization': [[[217206315402241, 792104302066, 59467511235, 423196004, 17033669, -110236, 4035, -14, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 17}
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id: 342882
{'charpoly_factorization': [[[24591257856, 2980758528, 423403200, 58848768, 8202384, -148608, 2700, -48, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 19}
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id: 342883
{'charpoly_factorization': [[[-8972, 128, 1], 4]], 'hecke_orbit_code': 27021735270285433, 'p': 23}
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id: 342884
{'charpoly_factorization': [[[68925786109509681, 127616711922810, 4490173885527, 16189713540, 307095309, -999180, 17103, -30, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 29}
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id: 342885
{'charpoly_factorization': [[[106006201720996096, 1080976563769856, 16897910078400, 232220794624, 3304507664, -12869696, 51900, -184, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 31}
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id: 342886
{'charpoly_factorization': [[[25301623610913781041, -44950221718978842, 436605213365271, -1409450793156, 8660039949, 19872972, 86799, 126, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 37}
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id: 342887
{'charpoly_factorization': [[[1364381285077194241, 14770783728196210, 119987380236867, 866797757540, 5873183429, 25362020, 102723, 370, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 41}
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id: 342888
{'charpoly_factorization': [[[11616, 264, 1], 4]], 'hecke_orbit_code': 27021735270285433, 'p': 43}
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id: 342889
{'charpoly_factorization': [[[298730953136849080576, -581701433071419392, 3404984635068096, -11054990565376, 47426462864, 84088832, 197004, 256, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 47}
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id: 342890
{'charpoly_factorization': [[[41245414786171381041, 83377097235550278, 683219213345943, 2421525222396, 13420510605, -30216564, 106383, -162, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 53}
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id: 342891
{'charpoly_factorization': [[[26622586215188808073216, -85943942665685172224, 211539241416622080, -470131971751936, 994001153024, -1163877376, 1296480, -1304, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 59}
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id: 342892
{'charpoly_factorization': [[[39084360857685893376, 148293978060729600, 1056970636362432, 5885885174400, 35700108624, -74440800, 169068, -300, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 61}
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id: 342893
{'charpoly_factorization': [[[106132, 656, 1], 4]], 'hecke_orbit_code': 27021735270285433, 'p': 67}
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id: 342894
{'charpoly_factorization': [[[9012275351751124647936, -34397997525767651328, 102040068996182016, -277824698855424, 729221117184, -901700352, 1074864, -1176, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 71}
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id: 342895
{'charpoly_factorization': [[[5908110704533685207296, 14235178942117779712, 55608814754758848, 185330853682304, 647118873680, -668475616, 723468, -668, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 73}
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id: 342896
{'charpoly_factorization': [[[97260599519755530496, -407423464375662592, 2686075247714496, -15354561238016, 91367993744, 154615552, 272364, 416, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 79}
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id: 342897
{'charpoly_factorization': [[[1574173814684872110336, -7586836868172165120, 28662316900417728, -100051144427520, 338307436944, -502295040, 722412, -960, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 83}
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id: 342898
{'charpoly_factorization': [[[-83343, 1074, 1], 4]], 'hecke_orbit_code': 27021735270285433, 'p': 89}
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id: 342899
{'charpoly_factorization': [[[156045601605606239648641, 83918043348000128878, 293407593912008355, 291307248544988, 623488600709, -463487908, 742755, -338, 1], 1]], 'hecke_orbit_code': 27021735270285433, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 7, 'label': '121.4.c.g', 'level': 121, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 47185081
{'hecke_orbit_code': 27021735270285433, 'n': 1, 'trace_an': 8}
-
id: 47185082
{'hecke_orbit_code': 27021735270285433, 'n': 2, 'trace_an': 2}
-
id: 47185083
{'hecke_orbit_code': 27021735270285433, 'n': 3, 'trace_an': 8}
-
id: 47185084
{'hecke_orbit_code': 27021735270285433, 'n': 4, 'trace_an': -10}
-
id: 47185085
{'hecke_orbit_code': 27021735270285433, 'n': 5, 'trace_an': 10}
-
id: 47185086
{'hecke_orbit_code': 27021735270285433, 'n': 6, 'trace_an': -32}
-
id: 47185087
{'hecke_orbit_code': 27021735270285433, 'n': 7, 'trace_an': 8}
-
id: 47185088
{'hecke_orbit_code': 27021735270285433, 'n': 8, 'trace_an': 42}
-
id: 47185089
{'hecke_orbit_code': 27021735270285433, 'n': 9, 'trace_an': -2}
-
id: 47185090
{'hecke_orbit_code': 27021735270285433, 'n': 10, 'trace_an': 136}
-
id: 47185091
{'hecke_orbit_code': 27021735270285433, 'n': 11, 'trace_an': 0}
-
id: 47185092
{'hecke_orbit_code': 27021735270285433, 'n': 12, 'trace_an': -352}
-
id: 47185093
{'hecke_orbit_code': 27021735270285433, 'n': 13, 'trace_an': -130}
-
id: 47185094
{'hecke_orbit_code': 27021735270285433, 'n': 14, 'trace_an': 160}
-
id: 47185095
{'hecke_orbit_code': 27021735270285433, 'n': 15, 'trace_an': -64}
-
id: 47185096
{'hecke_orbit_code': 27021735270285433, 'n': 16, 'trace_an': 62}
-
id: 47185097
{'hecke_orbit_code': 27021735270285433, 'n': 17, 'trace_an': 14}
-
id: 47185098
{'hecke_orbit_code': 27021735270285433, 'n': 18, 'trace_an': 194}
-
id: 47185099
{'hecke_orbit_code': 27021735270285433, 'n': 19, 'trace_an': 48}
-
id: 47185100
{'hecke_orbit_code': 27021735270285433, 'n': 20, 'trace_an': 98}
-
id: 47185101
{'hecke_orbit_code': 27021735270285433, 'n': 21, 'trace_an': -544}
-
id: 47185102
{'hecke_orbit_code': 27021735270285433, 'n': 22, 'trace_an': 0}
-
id: 47185103
{'hecke_orbit_code': 27021735270285433, 'n': 23, 'trace_an': -512}
-
id: 47185104
{'hecke_orbit_code': 27021735270285433, 'n': 24, 'trace_an': -144}
-
id: 47185105
{'hecke_orbit_code': 27021735270285433, 'n': 25, 'trace_an': 176}
-
id: 47185106
{'hecke_orbit_code': 27021735270285433, 'n': 26, 'trace_an': 106}
-
id: 47185107
{'hecke_orbit_code': 27021735270285433, 'n': 27, 'trace_an': -16}
-
id: 47185108
{'hecke_orbit_code': 27021735270285433, 'n': 28, 'trace_an': -296}
-
id: 47185109
{'hecke_orbit_code': 27021735270285433, 'n': 29, 'trace_an': 30}
-
id: 47185110
{'hecke_orbit_code': 27021735270285433, 'n': 30, 'trace_an': 280}
-
id: 47185111
{'hecke_orbit_code': 27021735270285433, 'n': 31, 'trace_an': 184}
-
id: 47185112
{'hecke_orbit_code': 27021735270285433, 'n': 32, 'trace_an': 1208}
-
id: 47185113
{'hecke_orbit_code': 27021735270285433, 'n': 33, 'trace_an': 0}
-
id: 47185114
{'hecke_orbit_code': 27021735270285433, 'n': 34, 'trace_an': 1784}
-
id: 47185115
{'hecke_orbit_code': 27021735270285433, 'n': 35, 'trace_an': 128}
-
id: 47185116
{'hecke_orbit_code': 27021735270285433, 'n': 36, 'trace_an': -394}
-
id: 47185117
{'hecke_orbit_code': 27021735270285433, 'n': 37, 'trace_an': -126}
-
id: 47185118
{'hecke_orbit_code': 27021735270285433, 'n': 38, 'trace_an': 168}
-
id: 47185119
{'hecke_orbit_code': 27021735270285433, 'n': 39, 'trace_an': 496}
-
id: 47185120
{'hecke_orbit_code': 27021735270285433, 'n': 40, 'trace_an': -186}
-
id: 47185121
{'hecke_orbit_code': 27021735270285433, 'n': 41, 'trace_an': -370}
-
id: 47185122
{'hecke_orbit_code': 27021735270285433, 'n': 42, 'trace_an': -712}
-
id: 47185123
{'hecke_orbit_code': 27021735270285433, 'n': 43, 'trace_an': -1056}
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id: 47185124
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