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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': 3, 'hecke_orbit_code': 9007336760803712, '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.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, 'minimal_twist': '384.4.c.a', 'prim_orbit_index': 2, 'qexp_display': 'q+(1-\\beta _{6})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': 1593638453834540227, '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, 0, -1, 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, 1, 0, 0, 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, 0, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, 3, 1, 1, -1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -2, 2, 0, 0, -4, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -3, 2, -1, 0, 1, 0, 0, 2, 0, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-13, -1, 2, 1, 1, 1, 1, 0, 0, 3, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 1, 0, 0, 2, 1, 1, 2, 0, -1, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-30, -2, 0, 0, -2, 1, 11, -1, -1, 6, -1, 1], [0, 0, 0, 0, 0, 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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, 306, 7344, 2448, 3672, 2448, 612, 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, 1, 11, -2, 0, -3, 1, -4], [-103, -1, 0, 0, -2, -1, -5, 0, 0, -1, -1, 0], [13, 37, -24, -30, 0, -13, -131, 14, -12, 39, -13, 40], [558, 5, 0, 0, 17, 12, 36, -4, 0, 10, 9, 4], [-199, -553, 516, 753, 0, 199, 1877, -104, 294, -591, 199, -502], [-14689, -93, 0, 0, -528, -447, -1167, 192, 12, -399, -285, -192], [3160, 7678, -9468, -14571, 0, -3160, -28820, 866, -5454, 9318, -3160, 7186], [212587, 841, 0, 0, 8198, 7729, 19793, -3576, -372, 7477, 4417, 3576], [-50845, -107821, 164256, 257844, 0, 50845, 455819, -8150, 93540, -149223, 50845, -109840], [-1618422, -3593, 0, 0, -64397, -64860, -167412, 30844, 4056, -66394, -34437, -30844], [822547, 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-51367, 2176, -4277, 68, -121]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '384.4.c.c', '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: 285907
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285908
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 285909
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285910
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285911
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 285912
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 285913
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 285914
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 285915
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 285916
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 285917
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 285918
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 285919
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 285920
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 285921
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 285922
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.4.c.c', '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: 806100
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007336760803712, 'p': 2}
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id: 806101
{'charpoly_factorization': [[[387420489, -143489070, 26572050, -1535274, -146529, 90396, -17316, 3348, -201, -78, 50, -10, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 3}
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id: 806102
{'charpoly_factorization': [[[1424528183296, 0, 105631613952, 0, 2953993728, 0, 40103232, 0, 276960, 0, 900, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 5}
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id: 806103
{'charpoly_factorization': [[[103646082371584, 0, 5784403239936, 0, 103430462976, 0, 719296320, 0, 2086368, 0, 2532, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 7}
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id: 806104
{'charpoly_factorization': [[[370690624, -67009824, 2349600, 106488, -4152, -18, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 11}
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id: 806105
{'charpoly_factorization': [[[15061696, 231124992, 12415920, -39936, -7452, 0, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 13}
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id: 806106
{'charpoly_factorization': [[[50719002413334790144, 0, 893798717454286848, 0, 1572646562955264, 0, 993287393280, 0, 256531968, 0, 27792, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 17}
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id: 806107
{'charpoly_factorization': [[[21383088972009318977536, 0, 39163367565304329216, 0, 22338900663277056, 0, 5754545788480, 0, 731591520, 0, 44148, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 19}
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id: 806108
{'charpoly_factorization': [[[-261412163584, -7574780928, 200936448, 2344256, -37056, -60, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 23}
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id: 806109
{'charpoly_factorization': [[[19988337780486174733471744, 0, 8466948432992235758592, 0, 1413427029621081600, 0, 119253853651776, 0, 5340513120, 0, 118884, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 29}
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id: 806110
{'charpoly_factorization': [[[12431077254601838301184, 0, 2437319366747313951744, 0, 1126794770086467072, 0, 163554173134912, 0, 8802695520, 0, 169044, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 31}
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id: 806111
{'charpoly_factorization': [[[847281526208, 169668327552, -1399248, -29320256, -124140, 264, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 37}
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id: 806112
{'charpoly_factorization': [[[1982688685194403068453584896, 0, 573176758909633085571072, 0, 57435780045577519104, 0, 2419148008574976, 0, 44486671872, 0, 354192, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 41}
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id: 806113
{'charpoly_factorization': [[[3401925203006483549222834176, 0, 1736728935869135461045248, 0, 213567513562610155008, 0, 8327632770252864, 0, 110111460576, 0, 567828, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 43}
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id: 806114
{'charpoly_factorization': [[[-144142667350016, 4670562041856, -51256823808, 213112832, -189504, -624, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 47}
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id: 806115
{'charpoly_factorization': [[[1738219021199400446950999527424, 0, 176578791239173138593874944, 0, 5622420933379433258496, 0, 69004153463797056, 0, 387012084192, 0, 1010436, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 53}
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id: 806116
{'charpoly_factorization': [[[-4372525893763648, 65840724254112, -352454282304, 727419592, -113520, -1254, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 59}
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id: 806117
{'charpoly_factorization': [[[-9602718816210496, -8982983664768, 213090687024, -96528832, -852780, 312, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 61}
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id: 806118
{'charpoly_factorization': [[[4545917540081546417934336, 0, 573947487942002869036032, 0, 1011616793600162029056, 0, 43857992959094592, 0, 418710073824, 0, 1322340, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 67}
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id: 806119
{'charpoly_factorization': [[[-379600692064256, -13180328401920, -3335139840, 252427328, -106656, -1020, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 71}
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id: 806120
{'charpoly_factorization': [[[-10737463110337472, -40176708813120, 554268624624, -50444384, -1494276, 108, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 73}
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id: 806121
{'charpoly_factorization': [[[430350698938789471897388978176, 0, 154831386839844437300130816, 0, 5795280659964874581504, 0, 78011261594839616, 0, 452613760608, 0, 1129140, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 79}
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id: 806122
{'charpoly_factorization': [[[1169588207650112, 9598667355168, -142373862048, 164393288, 1234872, -2286, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 83}
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id: 806123
{'charpoly_factorization': [[[1889092625865475149265993084174336, 0, 127479676660892995591059013632, 0, 1109633598533026614018048, 0, 3530005088957186048, 0, 5236018007808, 0, 3691104, 0, 1], 1]], 'hecke_orbit_code': 9007336760803712, 'p': 89}
-
id: 806124
{'charpoly_factorization': [[[63038649833336768, -594004362485376, 853946922288, 1149745472, -2422860, 24, 1], 2]], 'hecke_orbit_code': 9007336760803712, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '384.4.c.c', 'level': 384, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 116295000
{'hecke_orbit_code': 9007336760803712, 'n': 1, 'trace_an': 12}
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id: 116295001
{'hecke_orbit_code': 9007336760803712, 'n': 2, 'trace_an': 0}
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id: 116295002
{'hecke_orbit_code': 9007336760803712, 'n': 3, 'trace_an': 10}
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id: 116295003
{'hecke_orbit_code': 9007336760803712, 'n': 4, 'trace_an': 0}
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id: 116295004
{'hecke_orbit_code': 9007336760803712, 'n': 5, 'trace_an': 0}
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id: 116295005
{'hecke_orbit_code': 9007336760803712, 'n': 6, 'trace_an': 0}
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id: 116295006
{'hecke_orbit_code': 9007336760803712, 'n': 7, 'trace_an': 0}
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id: 116295007
{'hecke_orbit_code': 9007336760803712, 'n': 8, 'trace_an': 0}
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id: 116295008
{'hecke_orbit_code': 9007336760803712, 'n': 9, 'trace_an': 0}
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id: 116295009
{'hecke_orbit_code': 9007336760803712, 'n': 10, 'trace_an': 0}
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id: 116295010
{'hecke_orbit_code': 9007336760803712, 'n': 11, 'trace_an': 36}
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id: 116295011
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