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mf_newforms • Show schema
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{'Nk2': 6144, 'analytic_conductor': 22.656733442204395, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [384, 2, [127, 133, 257], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 383, 'conrey_indexes': [383], 'dim': 12, 'field_disc': 587565862468858220544, 'field_disc_factorization': [[2, 12], [3, 4], [42082913, 2]], 'field_poly': [4624, 0, 11952, 0, 10236, 0, 3500, 0, 549, 0, 39, 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': [[11, [370690624, 67009824, 2349600, -106488, -4152, 18, 1]], [13, [15061696, -231124992, 12415920, 39936, -7452, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137506062720, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 9663676416, 'hecke_ring_index_factorization': [[2, 30], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '384.4.c.a', 'level': 384, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '384.4.c.a', 'prim_orbit_index': 2, 'qexp_display': 'q+(-1+\\beta _{5})q^{3}+\\beta _{1}q^{5}-\\beta _{2}q^{7}+(-\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '384.4.c', 'trace_display': [0, -10, 0, 0], 'trace_hash': 1037867062241984492, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.929', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, -2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, -3, -1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 2, 2, 0, -4, 0, 1, 0, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [13, -1, 2, -1, 1, -1, 1, 0, -2, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, -1, 0, 0, -2, 1, -1, 2, 1, -1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-30, 2, 0, 0, 2, 11, -1, -1, 1, 6, 1, 1], [0, 0, 0, 0, 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114, -632, 114, 694, 860, -404], [10, 725, 494, 3674, 0, 6, 10, -225, 10, 73, 245, -205], [-3453, 426, 0, 0, -144, -893, -461, 41, 467, -100, -109, -41], [12, -1359, 196, -1438, 0, -1268, 12, -754, 12, 674, 778, -730], [-21410, -64, 0, 0, -300, -2119, -130, -308, -372, -717, -106, 308], [61, -1311, 556, 566, 0, -415, 61, 274, 61, 47, -152, 396], [-238, -574, -365, -3120, 0, 1806, -238, -216, -238, -530, -260, -692], [5413, 369, 0, 0, 340, -3468, -126, -292, 77, -748, 97, 292], [-40, -871, 818, -910, 0, 788, -40, -167, -40, -207, 87, -247], [19161, 263, 0, 0, -378, 2321, -103, 322, 585, 483, -538, -322], [-179, 989, 617, -302, 0, 455, -179, -308, -179, -49, -50, -666], [18548, -225, 0, 0, -419, 1850, -260, 146, -79, 462, 66, -146]], 'char_orbit_index': 3, 'field_poly': [4624, 0, 11952, 0, 10236, 0, 3500, 0, 549, 0, 39, 0, 1], 'hecke_orbit_code': 137506062720, 'hecke_ring_character_values': [[127, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [133, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [257, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 216, 3672, 153, 918, 7344, 306, 2448, 612, 2448, 3672, 1836], 'hecke_ring_inverse_denominators': [1, 48, 16, 48, 8, 48, 16, 48, 16, 48, 8, 48], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, -11, 1, 2, 1, 3, 0, 4], [-103, 1, 0, 0, 2, -5, 1, 0, 1, -1, 0, 0], [-13, 37, -24, 30, 0, 131, -13, -14, -13, -39, -12, -40], [558, -5, 0, 0, -17, 36, -12, -4, -9, 10, 0, 4], [199, -553, 516, -753, 0, -1877, 199, 104, 199, 591, 294, 502], [-14689, 93, 0, 0, 528, -1167, 447, 192, 285, -399, -12, -192], [-3160, 7678, -9468, 14571, 0, 28820, -3160, -866, -3160, -9318, -5454, -7186], [212587, -841, 0, 0, -8198, 19793, -7729, -3576, -4417, 7477, 372, 3576], [50845, -107821, 164256, -257844, 0, -455819, 50845, 8150, 50845, 149223, 93540, 109840], [-1618422, 3593, 0, 0, 64397, -167412, 64860, 30844, 34437, -66394, -4056, -30844], [-822547, 1563277, -2771652, 4386489, 0, 7307609, -822547, -85928, -822547, -2407227, -1559166, -1731022]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5456, 0, 3220, 0, -82, 0, -223, 0, -29, 0, -1], [0, 22472, 0, 171832, 0, 42164, 0, 449, 0, -401, 0, -19], [0, 9468, 0, 11762, 0, 2399, 0, 12, 0, -22, 0, -1], [-193936, -118836, -387056, -126186, -189499, -38697, -36958, -4977, -3026, -285, -85, -6], [48688, 281488, 223040, 497900, 195364, 254146, 49300, 51367, 4556, 4277, 136, 121], [55590, 39612, 158848, 42062, 124372, 12899, 30753, 1659, 2839, 95, 85, 2], [-706384, -141648, -1365440, -134036, -883660, -19406, -205156, 1323, -18428, 337, -544, 13], [242896, 110680, 356864, 157984, 134164, 68388, 20638, 12511, 1394, 985, 34, 27], [48688, -281488, 223040, -497900, 195364, -254146, 49300, -51367, 4556, -4277, 136, -121], [-1073992, 756832, -2091680, 1002644, -1285948, 408934, -289408, 71275, -25568, 5417, -748, 145], [4964, 296176, 34000, 497900, 68612, 254146, 21488, 51367, 2176, 4277, 68, 121]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '384.4.c.a', 'level': 384, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 6144, 'analytic_conductor': 22.656733442204395, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [384, 2, [127, 133, 257], [1, 2, 1]], 'conrey_index': 383, 'cusp_dim': 176, 'dim': 48, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 137506062720, 'hecke_orbit_dims': [12, 12, 12, 12], 'label': '384.4.c', 'level': 384, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 208, 'mf_new_dim': 48, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 256, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1200, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3792, 0, 0, 0, 0, 0, 0, 0, -688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, -4304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5136, 0, 0, 0, 0, 0, 0, 0, 3856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10656, 0, 0, 0, 0, 0, 0, 0, 2752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13776, 0, 0, 0, 0, 0, 0, 0, 17520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5856, 0, 0, 0, 0, 0, 0, 0, 6960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9888, 0, 0, 0, 0, 0, 0, 0, -16928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1440, 0, 0, 0, 0, 0, 0, 0, 11920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -27168, 0, 0, 0, 0, 0, 0, 0, -12288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13488, 0, 0, 0, 0, 0, 0, 0, -23536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38208, 0, 0, 0, 0, 0, 0, 0, 25072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18432, 0, 0, 0, 0, 0, 0, 0, -46400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23952, 0, 0, 0, 0, 0, 0, 0, -41792, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24000, 0, 0, 0, 0, 0, 0, 0, 7120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10656, 0, 0, 0, 0, 0, 0, 0, -4176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -27072, 0, 0, 0, 0, 0, 0, 0, 11552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88800, 0, 0, 0, 0, 0, 0, 0, 47904, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72768, 0, 0, 0, 0, 0, 0, 0, 65232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21216, 0, 0, 0, 0, 0, 0, 0, 13712, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37680, 0, 0, 0, 0, 0, 0, 0, 61008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61152, 0, 0, 0, 0, 0, 0, 0, 76224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29568, 0, 0, 0, 0, 0, 0, 0, -149056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120480, 0, 0, 0, 0, 0, 0, 0, -36640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98640, 0, 0, 0, 0, 0, 0, 0, 10544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85152, 0, 0, 0, 0, 0, 0, 0, -79872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -37440, 0, 0, 0, 0, 0, 0, 0, 185680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29952, 0, 0, 0, 0, 0, 0, 0, 11136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5664, 0, 0, 0, 0, 0, 0, 0, -73728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -204192, 0, 0, 0, 0, 0, 0, 0, -88784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -220512, 0, 0, 0, 0, 0, 0, 0, -111232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -103872, 0, 0, 0, 0, 0, 0, 0, -151168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -185376, 0, 0, 0, 0, 0, 0, 0, 35440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 219600, 0, 0, 0, 0, 0, 0, 0, 34992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 185376, 0, 0, 0, 0, 0, 0, 0, 80672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192480, 0, 0, 0, 0, 0, 0, 0, 316480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -139296, 0, 0, 0, 0, 0, 0, 0, -184336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168576, 0, 0, 0, 0, 0, 0, 0, 63328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77616, 0, 0, 0, 0, 0, 0, 0, -260288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 205152, 0, 0, 0, 0, 0, 0, 0, -278288, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 285875
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.4.c.a', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 285876
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.4.c.a', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285877
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '384.4.c.b', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 285878
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '384.4.c.b', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 285879
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.4.c.c', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285880
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.4.c.c', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 285881
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '384.4.c.d', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285882
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '384.4.c.d', 'target_level': 384, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285883
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '768.4.f.e', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 285884
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '768.4.f.e', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 285885
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.4.f.f', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 285886
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.4.f.f', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 285887
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '768.4.f.g', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 285888
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '768.4.f.g', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 285889
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '768.4.f.h', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 285890
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '384.4.c.a', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '768.4.f.h', 'target_level': 768, 'twist_class_label': '384.4.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 806050
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 137506062720, 'p': 2}
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id: 806051
{'charpoly_factorization': [[[387420489, 143489070, 26572050, 1535274, -146529, -90396, -17316, -3348, -201, 78, 50, 10, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 3}
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id: 806052
{'charpoly_factorization': [[[1424528183296, 0, 105631613952, 0, 2953993728, 0, 40103232, 0, 276960, 0, 900, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 5}
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id: 806053
{'charpoly_factorization': [[[103646082371584, 0, 5784403239936, 0, 103430462976, 0, 719296320, 0, 2086368, 0, 2532, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 7}
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id: 806054
{'charpoly_factorization': [[[370690624, 67009824, 2349600, -106488, -4152, 18, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 11}
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id: 806055
{'charpoly_factorization': [[[15061696, -231124992, 12415920, 39936, -7452, 0, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 13}
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id: 806056
{'charpoly_factorization': [[[50719002413334790144, 0, 893798717454286848, 0, 1572646562955264, 0, 993287393280, 0, 256531968, 0, 27792, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 17}
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id: 806057
{'charpoly_factorization': [[[21383088972009318977536, 0, 39163367565304329216, 0, 22338900663277056, 0, 5754545788480, 0, 731591520, 0, 44148, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 19}
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id: 806058
{'charpoly_factorization': [[[-261412163584, -7574780928, 200936448, 2344256, -37056, -60, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 23}
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id: 806059
{'charpoly_factorization': [[[19988337780486174733471744, 0, 8466948432992235758592, 0, 1413427029621081600, 0, 119253853651776, 0, 5340513120, 0, 118884, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 29}
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id: 806060
{'charpoly_factorization': [[[12431077254601838301184, 0, 2437319366747313951744, 0, 1126794770086467072, 0, 163554173134912, 0, 8802695520, 0, 169044, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 31}
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id: 806061
{'charpoly_factorization': [[[847281526208, -169668327552, -1399248, 29320256, -124140, -264, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 37}
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id: 806062
{'charpoly_factorization': [[[1982688685194403068453584896, 0, 573176758909633085571072, 0, 57435780045577519104, 0, 2419148008574976, 0, 44486671872, 0, 354192, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 41}
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id: 806063
{'charpoly_factorization': [[[3401925203006483549222834176, 0, 1736728935869135461045248, 0, 213567513562610155008, 0, 8327632770252864, 0, 110111460576, 0, 567828, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 43}
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id: 806064
{'charpoly_factorization': [[[-144142667350016, 4670562041856, -51256823808, 213112832, -189504, -624, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 47}
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id: 806065
{'charpoly_factorization': [[[1738219021199400446950999527424, 0, 176578791239173138593874944, 0, 5622420933379433258496, 0, 69004153463797056, 0, 387012084192, 0, 1010436, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 53}
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id: 806066
{'charpoly_factorization': [[[-4372525893763648, -65840724254112, -352454282304, -727419592, -113520, 1254, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 59}
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id: 806067
{'charpoly_factorization': [[[-9602718816210496, 8982983664768, 213090687024, 96528832, -852780, -312, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 61}
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id: 806068
{'charpoly_factorization': [[[4545917540081546417934336, 0, 573947487942002869036032, 0, 1011616793600162029056, 0, 43857992959094592, 0, 418710073824, 0, 1322340, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 67}
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id: 806069
{'charpoly_factorization': [[[-379600692064256, -13180328401920, -3335139840, 252427328, -106656, -1020, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 71}
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id: 806070
{'charpoly_factorization': [[[-10737463110337472, -40176708813120, 554268624624, -50444384, -1494276, 108, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 73}
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id: 806071
{'charpoly_factorization': [[[430350698938789471897388978176, 0, 154831386839844437300130816, 0, 5795280659964874581504, 0, 78011261594839616, 0, 452613760608, 0, 1129140, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 79}
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id: 806072
{'charpoly_factorization': [[[1169588207650112, -9598667355168, -142373862048, -164393288, 1234872, 2286, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 83}
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id: 806073
{'charpoly_factorization': [[[1889092625865475149265993084174336, 0, 127479676660892995591059013632, 0, 1109633598533026614018048, 0, 3530005088957186048, 0, 5236018007808, 0, 3691104, 0, 1], 1]], 'hecke_orbit_code': 137506062720, 'p': 89}
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id: 806074
{'charpoly_factorization': [[[63038649833336768, -594004362485376, 853946922288, 1149745472, -2422860, 24, 1], 2]], 'hecke_orbit_code': 137506062720, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '384.4.c.a', 'level': 384, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 23026000
{'hecke_orbit_code': 137506062720, 'n': 1, 'trace_an': 12}
-
id: 23026001
{'hecke_orbit_code': 137506062720, 'n': 2, 'trace_an': 0}
-
id: 23026002
{'hecke_orbit_code': 137506062720, 'n': 3, 'trace_an': -10}
-
id: 23026003
{'hecke_orbit_code': 137506062720, 'n': 4, 'trace_an': 0}
-
id: 23026004
{'hecke_orbit_code': 137506062720, 'n': 5, 'trace_an': 0}
-
id: 23026005
{'hecke_orbit_code': 137506062720, 'n': 6, 'trace_an': 0}
-
id: 23026006
{'hecke_orbit_code': 137506062720, 'n': 7, 'trace_an': 0}
-
id: 23026007
{'hecke_orbit_code': 137506062720, 'n': 8, 'trace_an': 0}
-
id: 23026008
{'hecke_orbit_code': 137506062720, 'n': 9, 'trace_an': 0}
-
id: 23026009
{'hecke_orbit_code': 137506062720, 'n': 10, 'trace_an': 0}
-
id: 23026010
{'hecke_orbit_code': 137506062720, 'n': 11, 'trace_an': -36}
-
id: 23026011
{'hecke_orbit_code': 137506062720, 'n': 12, 'trace_an': 0}
-
id: 23026012
{'hecke_orbit_code': 137506062720, 'n': 13, 'trace_an': 0}
-
id: 23026013
{'hecke_orbit_code': 137506062720, 'n': 14, 'trace_an': 0}
-
id: 23026014
{'hecke_orbit_code': 137506062720, 'n': 15, 'trace_an': -84}
-
id: 23026015
{'hecke_orbit_code': 137506062720, 'n': 16, 'trace_an': 0}
-
id: 23026016
{'hecke_orbit_code': 137506062720, 'n': 17, 'trace_an': 0}
-
id: 23026017
{'hecke_orbit_code': 137506062720, 'n': 18, 'trace_an': 0}
-
id: 23026018
{'hecke_orbit_code': 137506062720, 'n': 19, 'trace_an': 0}
-
id: 23026019
{'hecke_orbit_code': 137506062720, 'n': 20, 'trace_an': 0}
-
id: 23026020
{'hecke_orbit_code': 137506062720, 'n': 21, 'trace_an': 136}
-
id: 23026021
{'hecke_orbit_code': 137506062720, 'n': 22, 'trace_an': 0}
-
id: 23026022
{'hecke_orbit_code': 137506062720, 'n': 23, 'trace_an': 120}
-
id: 23026023
{'hecke_orbit_code': 137506062720, 'n': 24, 'trace_an': 0}
-
id: 23026024
{'hecke_orbit_code': 137506062720, 'n': 25, 'trace_an': -300}
-
id: 23026025
{'hecke_orbit_code': 137506062720, 'n': 26, 'trace_an': 0}
-
id: 23026026
{'hecke_orbit_code': 137506062720, 'n': 27, 'trace_an': 266}
-
id: 23026027
{'hecke_orbit_code': 137506062720, 'n': 28, 'trace_an': 0}
-
id: 23026028
{'hecke_orbit_code': 137506062720, 'n': 29, 'trace_an': 0}
-
id: 23026029
{'hecke_orbit_code': 137506062720, 'n': 30, 'trace_an': 0}
-
id: 23026030
{'hecke_orbit_code': 137506062720, 'n': 31, 'trace_an': 0}
-
id: 23026031
{'hecke_orbit_code': 137506062720, 'n': 32, 'trace_an': 0}
-
id: 23026032
{'hecke_orbit_code': 137506062720, 'n': 33, 'trace_an': -116}
-
id: 23026033
{'hecke_orbit_code': 137506062720, 'n': 34, 'trace_an': 0}
-
id: 23026034
{'hecke_orbit_code': 137506062720, 'n': 35, 'trace_an': -432}
-
id: 23026035
{'hecke_orbit_code': 137506062720, 'n': 36, 'trace_an': 0}
-
id: 23026036
{'hecke_orbit_code': 137506062720, 'n': 37, 'trace_an': 528}
-
id: 23026037
{'hecke_orbit_code': 137506062720, 'n': 38, 'trace_an': 0}
-
id: 23026038
{'hecke_orbit_code': 137506062720, 'n': 39, 'trace_an': -620}
-
id: 23026039
{'hecke_orbit_code': 137506062720, 'n': 40, 'trace_an': 0}
-
id: 23026040
{'hecke_orbit_code': 137506062720, 'n': 41, 'trace_an': 0}
-
id: 23026041
{'hecke_orbit_code': 137506062720, 'n': 42, 'trace_an': 0}
-
id: 23026042
{'hecke_orbit_code': 137506062720, 'n': 43, 'trace_an': 0}
-
id: 23026043
{'hecke_orbit_code': 137506062720, 'n': 44, 'trace_an': 0}
-
id: 23026044
{'hecke_orbit_code': 137506062720, 'n': 45, 'trace_an': 440}
-
id: 23026045
{'hecke_orbit_code': 137506062720, 'n': 46, 'trace_an': 0}
-
id: 23026046
{'hecke_orbit_code': 137506062720, 'n': 47, 'trace_an': 1248}
-
id: 23026047
{'hecke_orbit_code': 137506062720, 'n': 48, 'trace_an': 0}
-
id: 23026048
{'hecke_orbit_code': 137506062720, 'n': 49, 'trace_an': -948}
-
id: 23026049
{'hecke_orbit_code': 137506062720, 'n': 50, 'trace_an': 0}
-
id: 23026050
{'hecke_orbit_code': 137506062720, 'n': 51, 'trace_an': 1072}
-
id: 23026051
{'hecke_orbit_code': 137506062720, 'n': 52, 'trace_an': 0}
-
id: 23026052
{'hecke_orbit_code': 137506062720, 'n': 53, 'trace_an': 0}
-
id: 23026053
{'hecke_orbit_code': 137506062720, 'n': 54, 'trace_an': 0}
-
id: 23026054
{'hecke_orbit_code': 137506062720, 'n': 55, 'trace_an': 0}
-
id: 23026055
{'hecke_orbit_code': 137506062720, 'n': 56, 'trace_an': 0}
-
id: 23026056
{'hecke_orbit_code': 137506062720, 'n': 57, 'trace_an': -172}
-
id: 23026057
{'hecke_orbit_code': 137506062720, 'n': 58, 'trace_an': 0}
-
id: 23026058
{'hecke_orbit_code': 137506062720, 'n': 59, 'trace_an': -2508}
-
id: 23026059
{'hecke_orbit_code': 137506062720, 'n': 60, 'trace_an': 0}
-
id: 23026060
{'hecke_orbit_code': 137506062720, 'n': 61, 'trace_an': 624}
-
id: 23026061
{'hecke_orbit_code': 137506062720, 'n': 62, 'trace_an': 0}
-
id: 23026062
{'hecke_orbit_code': 137506062720, 'n': 63, 'trace_an': -2744}
-
id: 23026063
{'hecke_orbit_code': 137506062720, 'n': 64, 'trace_an': 0}
-
id: 23026064
{'hecke_orbit_code': 137506062720, 'n': 65, 'trace_an': 0}
-
id: 23026065
{'hecke_orbit_code': 137506062720, 'n': 66, 'trace_an': 0}
-
id: 23026066
{'hecke_orbit_code': 137506062720, 'n': 67, 'trace_an': 0}
-
id: 23026067
{'hecke_orbit_code': 137506062720, 'n': 68, 'trace_an': 0}
-
id: 23026068
{'hecke_orbit_code': 137506062720, 'n': 69, 'trace_an': -24}
-
id: 23026069
{'hecke_orbit_code': 137506062720, 'n': 70, 'trace_an': 0}
-
id: 23026070
{'hecke_orbit_code': 137506062720, 'n': 71, 'trace_an': 2040}
-
id: 23026071
{'hecke_orbit_code': 137506062720, 'n': 72, 'trace_an': 0}
-
id: 23026072
{'hecke_orbit_code': 137506062720, 'n': 73, 'trace_an': -216}
-
id: 23026073
{'hecke_orbit_code': 137506062720, 'n': 74, 'trace_an': 0}
-
id: 23026074
{'hecke_orbit_code': 137506062720, 'n': 75, 'trace_an': 3894}
-
id: 23026075
{'hecke_orbit_code': 137506062720, 'n': 76, 'trace_an': 0}
-
id: 23026076
{'hecke_orbit_code': 137506062720, 'n': 77, 'trace_an': 0}
-
id: 23026077
{'hecke_orbit_code': 137506062720, 'n': 78, 'trace_an': 0}
-
id: 23026078
{'hecke_orbit_code': 137506062720, 'n': 79, 'trace_an': 0}
-
id: 23026079
{'hecke_orbit_code': 137506062720, 'n': 80, 'trace_an': 0}
-
id: 23026080
{'hecke_orbit_code': 137506062720, 'n': 81, 'trace_an': -1076}
-
id: 23026081
{'hecke_orbit_code': 137506062720, 'n': 82, 'trace_an': 0}
-
id: 23026082
{'hecke_orbit_code': 137506062720, 'n': 83, 'trace_an': -4572}
-
id: 23026083
{'hecke_orbit_code': 137506062720, 'n': 84, 'trace_an': 0}
-
id: 23026084
{'hecke_orbit_code': 137506062720, 'n': 85, 'trace_an': 480}
-
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