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{'Nk2': 31200, 'analytic_conductor': 62.2833135765987, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [13, -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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-3, 0, 1]], [11, [-3, 0, 1]], [17, [-11, -2, 1]], [19, [-12, 0, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090454136, 'hecke_ring_generator_nbound': 7, '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': True, 'label': '7800.2.a.y', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '7800.2.a.y', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta q^{7}+q^{9}+\\beta q^{11}+q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7800.2.a', 'trace_display': [0, -2, 0, 0], 'trace_hash': 648825095485054709, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.197', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 9, 4], [[[2, -1], [3, -1], [5, 1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, 1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [13, 1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 4], [[[2, -1], [3, -1], [5, -1], [13, 1]], 7, 2], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, 1]], 8, 6]], 'ALdims': [7, 7, 7, 7, 8, 5, 7, 9, 8, 5, 7, 9, 7, 7, 7, 7], 'Nk2': 31200, 'analytic_conductor': 62.2833135765987, '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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 114, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33562232, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '7800.2.a', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1728, 'mf_new_dim': 114, 'num_forms': 53, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 3360, 'trace_bound': 17, 'trace_display': [0, 0, 0, 4], 'traces': [114, 0, 0, 0, 0, 0, 4, 0, 114, 0, 0, 0, -2, 0, 0, 0, -4, 0, -12, 0, 4, 0, -24, 0, 0, 0, 0, 0, -4, 0, 4, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 90, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 0, 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0, -396, 0, 88, 0, 0, 0, -40, 0, -176, 0, -232, 0, -28, 0, 0, 0, 504, 0, 48, 0, -148, 0, 160, 0, 0, 0, -40, 0, 304, 0, -156, 0, -72, 0, 0, 0, 228, 0, 528, 0, 368, 0, -180, 0, 0, 0, -336, 0, 64, 0, -8, 0, 360, 0, 0, 0, -248, 0, -324, 0, -32, 0, 96, 0, 0, 0, 16, 0, 88, 0, 84, 0, 548, 0, 0, 0, 648, 0, 496, 0, 192, 0, 496, 0, 0, 0, 52, 0, 1248, 0, 124], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48542343
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 108086391090454136, 'source_is_minimal': True, 'source_label': '7800.2.a.y.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090454136, 'target_is_minimal': True, 'target_label': '7800.2.a.y.1.2', 'target_level': 7800, 'twist_class_label': '7800.2.a.y.1.2', 'twist_class_level': 7800, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48542344
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 108086391090454136, 'source_is_minimal': True, 'source_label': '7800.2.a.y.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599936120, 'target_is_minimal': True, 'target_label': '7800.2.a.bc.1.1', 'target_level': 7800, 'twist_class_label': '7800.2.a.y.1.2', 'twist_class_level': 7800, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4576275
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 108086391090454136, 'p': 2}
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id: 4576276
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 108086391090454136, 'p': 3}
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id: 4576277
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 108086391090454136, 'p': 5}
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id: 4576278
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 7}
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id: 4576279
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 11}
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id: 4576280
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 108086391090454136, 'p': 13}
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id: 4576281
{'charpoly_factorization': [[[-11, -2, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 17}
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id: 4576282
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 19}
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id: 4576283
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 108086391090454136, 'p': 23}
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id: 4576284
{'charpoly_factorization': [[[-39, 6, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 29}
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id: 4576285
{'charpoly_factorization': [[[-11, 8, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 31}
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id: 4576286
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 37}
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id: 4576287
{'charpoly_factorization': [[[24, 12, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 41}
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id: 4576288
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 43}
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id: 4576289
{'charpoly_factorization': [[[-71, -4, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 47}
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id: 4576290
{'charpoly_factorization': [[[-23, 10, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 53}
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id: 4576291
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 59}
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id: 4576292
{'charpoly_factorization': [[[69, 18, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 61}
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id: 4576293
{'charpoly_factorization': [[[33, -12, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 67}
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id: 4576294
{'charpoly_factorization': [[[-92, 8, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 71}
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id: 4576295
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 73}
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id: 4576296
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 108086391090454136, 'p': 79}
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id: 4576297
{'charpoly_factorization': [[[141, -24, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 83}
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id: 4576298
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 89}
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id: 4576299
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 108086391090454136, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '7800.2.a.y', 'level': 7800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 257913000
{'hecke_orbit_code': 108086391090454136, 'n': 1, 'trace_an': 2}
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id: 257913001
{'hecke_orbit_code': 108086391090454136, 'n': 2, 'trace_an': 0}
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id: 257913002
{'hecke_orbit_code': 108086391090454136, 'n': 3, 'trace_an': -2}
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id: 257913003
{'hecke_orbit_code': 108086391090454136, 'n': 4, 'trace_an': 0}
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id: 257913004
{'hecke_orbit_code': 108086391090454136, 'n': 5, 'trace_an': 0}
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id: 257913005
{'hecke_orbit_code': 108086391090454136, 'n': 6, 'trace_an': 0}
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id: 257913006
{'hecke_orbit_code': 108086391090454136, 'n': 7, 'trace_an': 0}
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id: 257913007
{'hecke_orbit_code': 108086391090454136, 'n': 8, 'trace_an': 0}
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id: 257913008
{'hecke_orbit_code': 108086391090454136, 'n': 9, 'trace_an': 2}
-
id: 257913009
{'hecke_orbit_code': 108086391090454136, 'n': 10, 'trace_an': 0}
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id: 257913010
{'hecke_orbit_code': 108086391090454136, 'n': 11, 'trace_an': 0}
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id: 257913011
{'hecke_orbit_code': 108086391090454136, 'n': 12, 'trace_an': 0}
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id: 257913012
{'hecke_orbit_code': 108086391090454136, 'n': 13, 'trace_an': 2}
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id: 257913013
{'hecke_orbit_code': 108086391090454136, 'n': 14, 'trace_an': 0}
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id: 257913014
{'hecke_orbit_code': 108086391090454136, 'n': 15, 'trace_an': 0}
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id: 257913015
{'hecke_orbit_code': 108086391090454136, 'n': 16, 'trace_an': 0}
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id: 257913016
{'hecke_orbit_code': 108086391090454136, 'n': 17, 'trace_an': 2}
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id: 257913017
{'hecke_orbit_code': 108086391090454136, 'n': 18, 'trace_an': 0}
-
id: 257913018
{'hecke_orbit_code': 108086391090454136, 'n': 19, 'trace_an': 0}
-
id: 257913019
{'hecke_orbit_code': 108086391090454136, 'n': 20, 'trace_an': 0}
-
id: 257913020
{'hecke_orbit_code': 108086391090454136, 'n': 21, 'trace_an': 0}
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id: 257913021
{'hecke_orbit_code': 108086391090454136, 'n': 22, 'trace_an': 0}
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id: 257913022
{'hecke_orbit_code': 108086391090454136, 'n': 23, 'trace_an': 4}
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