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mf_newforms • Show schema
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{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2790, 2, [2171, 1117, 1801], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 559, 'conrey_indexes': [559], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, 0, 24, 0, 1]], [11, [-4, 4, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210951398, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2790.2.d.i', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.d.g', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\zeta_{8}q^{2}-q^{4}+(-2-\\zeta_{8})q^{5}+(2\\zeta_{8}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2790.2.d', 'trace_display': [0, 0, -8, 0], 'trace_hash': 1976361655792221764, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.837', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '76.094', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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-12, 0, 0], [0, -54, 8, 0], [-16, 0, 0, -8], [-2, 0, 0, 9], [28, 0, 0, 8], [0, 28, -4, 0], [0, 18, 1, 0], [-14, 0, 0, 3], [0, -50, -1, 0], [-16, 0, 0, -4], [40, 0, 0, -2], [0, -10, 12, 0], [42, 0, 0, -15], [0, 52, -6, 0], [0, -20, -12, 0], [0, 66, 4, 0], [-24, 0, 0, -10]], 'char_orbit_index': 4, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 36029003210951398, 'hecke_ring_character_values': [[2171, [1, 0, 0, 0]], [1117, [-1, 0, 0, 0]], [1801, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 4, 1, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 2, 0, 2], [0, 2, 0, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2790.2.d.i', 'level': 2790, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2790, 2, [2171, 1117, 1801], [2, 1, 2]], 'conrey_index': 559, 'cusp_dim': 560, 'dim': 76, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 206191987430, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 12, 16], 'label': '2790.2.d', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 592, 'mf_new_dim': 76, 'num_forms': 15, 'prim_orbit_index': 2, 'relative_dim': 76, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [76, 0, 0, -76, -4, 0, 0, 0, 0, 0, 12, 0, 0, 8, 0, 76, 0, 0, 16, 4, 0, 0, 0, 0, -12, -12, 0, 0, -4, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, -16, 0, 0, -12, 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0, 0, 0, 0, -72, -392, 0, 0, -8, 0, 84, 0, 0, 160, 112, 0, 0, 0, 0, -244, -64, 0, 0, 284, 0, 472, 0, 0, -296, -304, 0, 0, 0, 0, 40, 232, 0, 0, 28, 0, -48, 0, 0, 664, 360, 0, 0, 0, 0, 40, 168, 0, 0, 124, 0, 16, 0, 0, 0, 328, 0, 0, 0, 0, 264, -560, 0, 0, 280, 0, -180, 0, 0, 16, 44], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 998844
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2790.2.d.i', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '930.2.d.g', 'target_level': 930, 'twist_class_label': '930.2.d.g', 'twist_class_level': 930, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 998845
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2790.2.d.i', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '930.2.d.g', 'target_level': 930, 'twist_class_label': '930.2.d.g', 'twist_class_level': 930, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 998846
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2790.2.d.i', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2790.2.d.i', 'target_level': 2790, 'twist_class_label': '930.2.d.g', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 998847
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2790.2.d.i', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2790.2.d.i', 'target_level': 2790, 'twist_class_label': '930.2.d.g', 'twist_class_level': 930, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 998848
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2790.2.d.i', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '4650.2.a.cc', 'target_level': 4650, 'twist_class_label': '930.2.d.g', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 998849
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2790.2.d.i', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '4650.2.a.cf', 'target_level': 4650, 'twist_class_label': '930.2.d.g', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2852100
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 2}
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id: 2852101
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029003210951398, 'p': 3}
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id: 2852102
{'charpoly_factorization': [[[5, 4, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 5}
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id: 2852103
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 7}
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id: 2852104
{'charpoly_factorization': [[[-4, 4, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 11}
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id: 2852105
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 13}
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id: 2852106
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 17}
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id: 2852107
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029003210951398, 'p': 19}
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id: 2852108
{'charpoly_factorization': [[[72, 0, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 23}
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id: 2852109
{'charpoly_factorization': [[[-16, -8, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 29}
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id: 2852110
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 36029003210951398, 'p': 31}
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id: 2852111
{'charpoly_factorization': [[[4624, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 37}
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id: 2852112
{'charpoly_factorization': [[[-28, 4, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 41}
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id: 2852113
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 43}
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id: 2852114
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 47}
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id: 2852115
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 53}
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id: 2852116
{'charpoly_factorization': [[[28, -12, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 59}
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id: 2852117
{'charpoly_factorization': [[[-4, 4, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 61}
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id: 2852118
{'charpoly_factorization': [[[18496, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 67}
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id: 2852119
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 71}
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id: 2852120
{'charpoly_factorization': [[[1024, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 73}
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id: 2852121
{'charpoly_factorization': [[[-128, 0, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 79}
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id: 2852122
{'charpoly_factorization': [[[256, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 36029003210951398, 'p': 83}
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id: 2852123
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 89}
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id: 2852124
{'charpoly_factorization': [[[128, 0, 1], 2]], 'hecke_orbit_code': 36029003210951398, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 9, 'label': '2790.2.d.i', 'level': 2790, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 201547000
{'hecke_orbit_code': 36029003210951398, 'n': 1, 'trace_an': 4}
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id: 201547001
{'hecke_orbit_code': 36029003210951398, 'n': 2, 'trace_an': 0}
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id: 201547002
{'hecke_orbit_code': 36029003210951398, 'n': 3, 'trace_an': 0}
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id: 201547003
{'hecke_orbit_code': 36029003210951398, 'n': 4, 'trace_an': -4}
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id: 201547004
{'hecke_orbit_code': 36029003210951398, 'n': 5, 'trace_an': -8}
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id: 201547005
{'hecke_orbit_code': 36029003210951398, 'n': 6, 'trace_an': 0}
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id: 201547006
{'hecke_orbit_code': 36029003210951398, 'n': 7, 'trace_an': 0}
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