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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -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': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 3996180000000, 'field_disc_factorization': [[2, 8], [3, 2], [5, 7], [149, 2]], 'field_poly': [45, 0, -105, 0, 70, 0, -15, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [45, 0, -105, 0, 70, 0, -15, 0, 1]], [7, [20, 30, -5, -5, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972563449, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5625.2.a.bb', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '5625.2.a.z', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(1+\\beta _{2}-\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5625.2.a', 'trace_display': [0, 0, 0, 10], 'trace_hash': 1381275947786922620, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.104', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.100', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.8567725578682742, 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972563449, 'label': '5625.2.a.bb.1.5', 'level': 5625, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, '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': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_cc • Show schema
Hide schema
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id: 48642343
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563449, 'source_is_minimal': True, 'source_label': '5625.2.a.bb.1.5', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 121597189972563449, 'target_is_minimal': True, 'target_label': '5625.2.a.bb.1.5', 'target_level': 5625, 'twist_class_label': '5625.2.a.z.1.4', 'twist_class_level': 5625, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48642344
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563449, 'source_is_minimal': True, 'source_label': '5625.2.a.bb.1.5', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 121597189972563449, 'target_is_minimal': True, 'target_label': '5625.2.a.bb.1.4', 'target_level': 5625, 'twist_class_label': '5625.2.a.z.1.4', 'twist_class_level': 5625, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48642345
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563449, 'source_is_minimal': True, 'source_label': '5625.2.a.bb.1.5', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 112589990717822457, 'target_is_minimal': True, 'target_label': '5625.2.a.z.1.4', 'target_level': 5625, 'twist_class_label': '5625.2.a.z.1.4', 'twist_class_level': 5625, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48642346
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563449, 'source_is_minimal': True, 'source_label': '5625.2.a.bb.1.5', 'source_level': 5625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 112589990717822457, 'target_is_minimal': True, 'target_label': '5625.2.a.z.1.5', 'target_level': 5625, 'twist_class_label': '5625.2.a.z.1.4', 'twist_class_level': 5625, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3953075
{'charpoly_factorization': [[[45, 0, -105, 0, 70, 0, -15, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 2}
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id: 3953076
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 121597189972563449, 'p': 3}
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id: 3953077
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 121597189972563449, 'p': 5}
-
id: 3953078
{'charpoly_factorization': [[[20, 30, -5, -5, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 7}
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id: 3953079
{'charpoly_factorization': [[[18000, 0, -7500, 0, 1075, 0, -60, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 11}
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id: 3953080
{'charpoly_factorization': [[[-5, 35, -10, -5, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 13}
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id: 3953081
{'charpoly_factorization': [[[87120, 0, -34260, 0, 3115, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 17}
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id: 3953082
{'charpoly_factorization': [[[41, 9, -14, -1, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 19}
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id: 3953083
{'charpoly_factorization': [[[933120, 0, -181440, 0, 8955, 0, -165, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 23}
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id: 3953084
{'charpoly_factorization': [[[18000, 0, -24000, 0, 4675, 0, -135, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 29}
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id: 3953085
{'charpoly_factorization': [[[41, -13, -16, 3, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 31}
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id: 3953086
{'charpoly_factorization': [[[720, -720, 215, -25, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 37}
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id: 3953087
{'charpoly_factorization': [[[18000, 0, -577500, 0, 24175, 0, -285, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 41}
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id: 3953088
{'charpoly_factorization': [[[745, 0, -75, 0, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 43}
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id: 3953089
{'charpoly_factorization': [[[11520, 0, -12480, 0, 2080, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 47}
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id: 3953090
{'charpoly_factorization': [[[11520, 0, -16320, 0, 4000, 0, -180, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 53}
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id: 3953091
{'charpoly_factorization': [[[30258000, 0, -1648500, 0, 33475, 0, -300, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 59}
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id: 3953092
{'charpoly_factorization': [[[1331, 983, 254, 27, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 61}
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id: 3953093
{'charpoly_factorization': [[[3295, 545, -160, -5, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 67}
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id: 3953094
{'charpoly_factorization': [[[4608000, 0, -744000, 0, 26275, 0, -295, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 71}
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id: 3953095
{'charpoly_factorization': [[[-8080, 2140, -85, -15, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 73}
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id: 3953096
{'charpoly_factorization': [[[-909, 636, -19, -14, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 79}
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id: 3953097
{'charpoly_factorization': [[[28512720, 0, -3037620, 0, 59395, 0, -420, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 83}
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id: 3953098
{'charpoly_factorization': [[[7200000, 0, -7350000, 0, 116875, 0, -600, 0, 1], 1]], 'hecke_orbit_code': 121597189972563449, 'p': 89}
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id: 3953099
{'charpoly_factorization': [[[-5, -90, -45, 0, 1], 2]], 'hecke_orbit_code': 121597189972563449, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '5625.2.a.bb', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 262044000
{'hecke_orbit_code': 121597189972563449, 'n': 1, 'trace_an': 8}
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id: 262044001
{'hecke_orbit_code': 121597189972563449, 'n': 2, 'trace_an': 0}
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id: 262044002
{'hecke_orbit_code': 121597189972563449, 'n': 3, 'trace_an': 0}
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id: 262044003
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