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{'Nk2': 30492, 'analytic_conductor': 60.86996146082204, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [11, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7623, 1, [848, 4357, 4600], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -1, 1]], [5, [-5, 0, 1]], [13, [-1, -4, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385501011399, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7623.2.a.bn', 'level': 7623, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '2541.2.a.q', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+(-1+\\beta )q^{4}+(-1+2\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7623.2.a', 'trace_display': [1, 0, 0, -2], 'trace_hash': 1760269827872049438, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.896', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.070', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [-1, 1], [-1, 2], [0, 0], [-1, 0], [1, -2], [0, 0], [2, 1], [0, 0], [0, 0], [3, -2], [0, -1], [0, 0], [0, -3], [2, 0], [0, 0], [-5, 4], [3, -1], [0, 0], [0, 0], [2, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [1, -1], [5, 0], [0, 0], [4, 4], [-5, 1], [0, 0], [0, 2], [1, -2], [0, 0], [5, -4], [4, -1], [0, 0], [-5, 0], [-4, 4], [0, 0], [2, 4], [0, 0], [0, 0], [0, 2], [-3, -4], [0, 0], [1, 0], [0, 0], [0, 0], [-5, 3], [0, -4], [0, 0], [0, 0], [-1, 2], [0, 0], [0, 5], [5, -8], [0, 0], [-6, -4], [4, 8], [0, 0], [1, 2], [-7, 4], [0, 0], [-7, 10], [-2, 2], [0, 0], [-2, -1], [-4, 4], [0, 0], [1, 6], [-4, 1], [0, 0], [9, -5], [0, 0], [0, 0], [-6, 4], [-6, -3], [0, 0], [4, 0], [14, -4], [0, 0], [-2, 4], [4, 6], [0, 0], [0, 0], [-6, 4], [0, 0], [-3, 2], [-2, 2], [0, 0], [-4, -7], [13, -6], [0, 0], [-10, 12], [0, 1], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 0], [-1, 2], [-1, 0], [0, 0], [3, -2], [2, 0], [-5, 4], [2, 0], [5, 0], [4, 4], [5, -4], [-4, 4], [2, 4], [-3, -4], [0, 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-36], [34, 4], [9, 0], [-5, -52], [-46, 16], [-4, 8], [-4, 8], [42, -12], [-6, -24], [-30, -40], [-14, -32], [54, 12], [7, -14], [9, -6], [16, -16], [66, -20], [-34, 40], [-2, -4], [15, 22], [30, 4], [28, 4], [64, -64], [55, -30], [-24, 64], [9, 28], [-22, -4], [10, 4]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 175640385501011399, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '7623.2.a.bn', 'level': 7623, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 45, 19], [[[3, 1], [7, -1], [11, -1]], 20, 7], [[[3, -1], [7, 1], [11, 1]], 41, 10], [[[3, 1], [7, -1], [11, 1]], 34, 3], [[[3, -1], [7, 1], [11, -1]], 40, 20], [[[3, -1], [7, -1], [11, 1]], 37, 11], [[[3, 1], [7, 1], [11, -1]], 30, 8], [[[3, 1], [7, 1], [11, 1]], 26, 3]], 'ALdims': [26, 30, 34, 20, 41, 40, 37, 45], 'Nk2': 30492, 'analytic_conductor': 60.86996146082204, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7623, 1, [848, 4357, 4600], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1009, 'dim': 273, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33562055, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10, 12, 12, 16, 16], 'label': '7623.2.a', 'level': 7623, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'mf_dim': 1104, 'mf_new_dim': 273, 'num_forms': 81, 'plus_dim': 123, 'prim_orbit_index': 1, 'relative_dim': 273, 'sturm_bound': 2112, 'trace_bound': 13, 'trace_display': [1, 0, 6, -1], 'traces': [273, 1, 0, 269, 6, 0, -1, -3, 0, 6, 0, 0, 6, -3, 0, 269, 14, 0, -8, -6, 0, 0, -12, 0, 287, 2, 0, -3, 22, 0, -8, -35, 0, 2, 6, 0, 6, -24, 0, 6, 22, 0, 12, 0, 0, 20, -12, 0, 273, -65, 0, 50, 10, 0, 0, -15, 0, 34, -8, 0, 18, 4, 0, 309, 20, 0, 4, 30, 0, 18, 0, 0, -2, 22, 0, 36, 0, 0, -36, 22, 0, 38, 12, 0, 16, 12, 0, 0, 26, 0, -6, -20, 0, -36, -20, 0, -14, 1, 0, 247, -10, 0, -20, 10, 0, -14, -16, 0, -6, 0, 0, -23, 6, 0, -68, 86, 0, -32, -2, 0, 0, 106, 0, -56, 204, 0, 12, -27, 0, 132, 16, 0, 20, 44, 0, 6, 106, 0, 32, 22, 0, -20, 0, 0, 16, 86, 0, -34, 22, 0, 36, -68, 0, 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1316, 464, 0, -136, 272, 0, -88, 134, 0, -812, 24, 0, -476, -198, 0, 252, 370, 0, 1060, 0, 0, 268, -1390, 0, -1090, 96, 0, 18, 892, 0, 0, -308, 0, 1024, -140, 0, 176, 116, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1357742
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '7623.2.a.bn', 'source_level': 7623, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '2541.2.a.q', 'target_level': 2541, 'twist_class_label': '2541.2.a.q', 'twist_class_level': 2541, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1357743
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '7623.2.a.bn', 'source_level': 7623, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': True, 'target_label': '2541.2.a.y', 'target_level': 2541, 'twist_class_label': '2541.2.a.q', 'twist_class_level': 2541, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1357744
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '7623.2.a.bn', 'source_level': 7623, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '7623.2.a.y', 'target_level': 7623, 'twist_class_label': '2541.2.a.q', 'twist_class_level': 2541, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1357745
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 40, 'source_is_minimal': False, 'source_label': '7623.2.a.bn', 'source_level': 7623, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '7623.2.a.bn', 'target_level': 7623, 'twist_class_label': '2541.2.a.q', 'twist_class_level': 2541, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4524150
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 2}
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id: 4524151
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 175640385501011399, 'p': 3}
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id: 4524152
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 5}
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id: 4524153
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 175640385501011399, 'p': 7}
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id: 4524154
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 175640385501011399, 'p': 11}
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id: 4524155
{'charpoly_factorization': [[[-1, -4, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 13}
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id: 4524156
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 175640385501011399, 'p': 17}
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id: 4524157
{'charpoly_factorization': [[[-11, 6, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 19}
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id: 4524158
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 175640385501011399, 'p': 23}
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id: 4524159
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 175640385501011399, 'p': 29}
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id: 4524160
{'charpoly_factorization': [[[16, -12, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 31}
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id: 4524161
{'charpoly_factorization': [[[-11, -6, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 37}
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id: 4524162
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 41}
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id: 4524163
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 43}
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id: 4524164
{'charpoly_factorization': [[[5, 10, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 47}
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id: 4524165
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 53}
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id: 4524166
{'charpoly_factorization': [[[-79, -2, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 59}
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id: 4524167
{'charpoly_factorization': [[[44, 16, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 61}
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id: 4524168
{'charpoly_factorization': [[[-121, 4, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 67}
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id: 4524169
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 71}
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id: 4524170
{'charpoly_factorization': [[[-29, -8, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 73}
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id: 4524171
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 79}
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id: 4524172
{'charpoly_factorization': [[[124, -24, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 83}
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id: 4524173
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 89}
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id: 4524174
{'charpoly_factorization': [[[-164, 8, 1], 1]], 'hecke_orbit_code': 175640385501011399, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '7623.2.a.bn', 'level': 7623, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273143000
{'hecke_orbit_code': 175640385501011399, 'n': 1, 'trace_an': 2}
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id: 273143001
{'hecke_orbit_code': 175640385501011399, 'n': 2, 'trace_an': 1}
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id: 273143002
{'hecke_orbit_code': 175640385501011399, 'n': 3, 'trace_an': 0}
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id: 273143003
{'hecke_orbit_code': 175640385501011399, 'n': 4, 'trace_an': -1}
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id: 273143004
{'hecke_orbit_code': 175640385501011399, 'n': 5, 'trace_an': 0}
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id: 273143005
{'hecke_orbit_code': 175640385501011399, 'n': 6, 'trace_an': 0}
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id: 273143006
{'hecke_orbit_code': 175640385501011399, 'n': 7, 'trace_an': -2}
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id: 273143007
{'hecke_orbit_code': 175640385501011399, 'n': 8, 'trace_an': 0}
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id: 273143008
{'hecke_orbit_code': 175640385501011399, 'n': 9, 'trace_an': 0}
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id: 273143009
{'hecke_orbit_code': 175640385501011399, 'n': 10, 'trace_an': 5}
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id: 273143010
{'hecke_orbit_code': 175640385501011399, 'n': 11, 'trace_an': 0}
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id: 273143011
{'hecke_orbit_code': 175640385501011399, 'n': 12, 'trace_an': 0}
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id: 273143012
{'hecke_orbit_code': 175640385501011399, 'n': 13, 'trace_an': 4}
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id: 273143013
{'hecke_orbit_code': 175640385501011399, 'n': 14, 'trace_an': -1}
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id: 273143014
{'hecke_orbit_code': 175640385501011399, 'n': 15, 'trace_an': 0}
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id: 273143015
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