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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': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -1, 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': 0, 'hecke_cutters': [[2, [-2, -4, 1, 1]], [5, [1, -7, 1, 1]], [13, [-2, 12, -7, 1]]], 'hecke_orbit': 53, 'hecke_orbit_code': 234187180656827847, '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.ca', '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.bh', 'nf_label': '3.3.316.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-\\beta _{1}+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, '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, -1, 3], 'trace_hash': 937213552318276374, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.877', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.785', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.709', 'prec': 20}, {'__RealLiteral__': 0, 'data': '14.105', 'prec': 20}, {'__RealLiteral__': 0, 'data': '268.698', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, -1, 0, 3, -1, 0, 3, -3, 0, 5, 0, 0, 7, -1, 0, -1, -1, 0, 8, 9, 0, 0, 2, 0, 0, -11, 0, 3, -7, 0, -2, -7, 0, 5, -1, 0, -3, 10, 0, -9, -13, 0, 8, 0, 0, 20, 6, 0, 3, 8, 0, 11, 21, 0, 0, -3, 0, 11, -6, 0, 12, 10, 0, -17, -7, 0, 2, 9, 0, 5, 0, 0, -4, 5, 0, -10, 0, 0, 18, -19, 0, -9, 12, 0, 15, 36, 0, 0, 1, 0, 7, -44, 0, 16, -8, 0, -25, -1, 0, -28, 38, 0, 26, -11, 0, -3, -24, 0, 9, 0, 0, -1, -5, 0, -26, -11, 0, 28, -1, 0, 0, 10, 0, 18, -15, 0, -18, 41, 0, 3, -36, 0, 8, 2, 0, -9, -12, 0, 30, 9, 0, -22, 0, 0, 7, -54, 0, -17, 5, 0, 8, 10, 0, 0, 30, 0, 6, -50, 0, 3, 2, 0, 2, -19, 0, -2, 32, 0, -14, 3, 0, -22, 38, 0, 0, 0, 0, -21, 22, 0, 11, -11, 0, 44, -9, 0, 0, 22, 0, 26, 4, 0, 23, 61, 0, 3, -13, 0, 20, 28, 0, -12, -7, 0, -15, 4, 0, 11, 0, 0, 10, 7, 0, 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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, 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mf_twists_cc • Show schema
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id: 49057966
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 234187180656827847, 'source_is_minimal': False, 'source_label': '7623.2.a.ca.1.2', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 234187180656827847, 'target_is_minimal': False, 'target_label': '7623.2.a.ca.1.2', 'target_level': 7623, 'twist_class_label': '2541.2.a.bh.1.2', 'twist_class_level': 2541, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49057967
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 234187180656827847, 'source_is_minimal': False, 'source_label': '7623.2.a.ca.1.2', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991524333, 'target_is_minimal': True, 'target_label': '2541.2.a.bj.1.2', 'target_level': 2541, 'twist_class_label': '2541.2.a.bh.1.2', 'twist_class_level': 2541, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49057968
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 234187180656827847, 'source_is_minimal': False, 'source_label': '7623.2.a.ca.1.2', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 243194379911568839, 'target_is_minimal': False, 'target_label': '7623.2.a.cc.1.2', 'target_level': 7623, 'twist_class_label': '2541.2.a.bh.1.2', 'twist_class_level': 2541, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 49057969
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 234187180656827847, 'source_is_minimal': False, 'source_label': '7623.2.a.ca.1.2', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736783341, 'target_is_minimal': True, 'target_label': '2541.2.a.bh.1.2', 'target_level': 2541, 'twist_class_label': '2541.2.a.bh.1.2', 'twist_class_level': 2541, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4528250
{'charpoly_factorization': [[[-2, -4, 1, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 2}
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id: 4528251
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 234187180656827847, 'p': 3}
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id: 4528252
{'charpoly_factorization': [[[1, -7, 1, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 5}
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id: 4528253
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 234187180656827847, 'p': 7}
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id: 4528254
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 234187180656827847, 'p': 11}
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id: 4528255
{'charpoly_factorization': [[[-2, 12, -7, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 13}
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id: 4528256
{'charpoly_factorization': [[[1, -7, 1, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 17}
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id: 4528257
{'charpoly_factorization': [[[44, 6, -8, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 19}
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id: 4528258
{'charpoly_factorization': [[[152, -78, -2, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 23}
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id: 4528259
{'charpoly_factorization': [[[2, 12, 7, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 29}
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id: 4528260
{'charpoly_factorization': [[[8, -28, 2, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 31}
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id: 4528261
{'charpoly_factorization': [[[-8, -4, 3, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 37}
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id: 4528262
{'charpoly_factorization': [[[32, 40, 13, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 41}
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id: 4528263
{'charpoly_factorization': [[[422, -71, -8, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 43}
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id: 4528264
{'charpoly_factorization': [[[34, -31, -6, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 47}
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id: 4528265
{'charpoly_factorization': [[[-296, 140, -21, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 53}
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id: 4528266
{'charpoly_factorization': [[[-86, -27, 6, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 59}
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id: 4528267
{'charpoly_factorization': [[[292, -18, -12, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 61}
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id: 4528268
{'charpoly_factorization': [[[-584, -151, -2, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 67}
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id: 4528269
{'charpoly_factorization': [[[76, -34, 0, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 71}
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id: 4528270
{'charpoly_factorization': [[[-1628, -226, 4, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 73}
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id: 4528271
{'charpoly_factorization': [[[1208, -28, -18, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 79}
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id: 4528272
{'charpoly_factorization': [[[2056, -171, -12, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 83}
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id: 4528273
{'charpoly_factorization': [[[-73, -79, -1, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 89}
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id: 4528274
{'charpoly_factorization': [[[-1882, 24, 25, 1], 1]], 'hecke_orbit_code': 234187180656827847, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 53, 'label': '7623.2.a.ca', 'level': 7623, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 278036000
{'hecke_orbit_code': 234187180656827847, 'n': 1, 'trace_an': 3}
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id: 278036001
{'hecke_orbit_code': 234187180656827847, 'n': 2, 'trace_an': -1}
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id: 278036002
{'hecke_orbit_code': 234187180656827847, 'n': 3, 'trace_an': 0}
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id: 278036003
{'hecke_orbit_code': 234187180656827847, 'n': 4, 'trace_an': 3}
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id: 278036004
{'hecke_orbit_code': 234187180656827847, 'n': 5, 'trace_an': -1}
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id: 278036005
{'hecke_orbit_code': 234187180656827847, 'n': 6, 'trace_an': 0}
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id: 278036006
{'hecke_orbit_code': 234187180656827847, 'n': 7, 'trace_an': 3}
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id: 278036007
{'hecke_orbit_code': 234187180656827847, 'n': 8, 'trace_an': -3}
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id: 278036008
{'hecke_orbit_code': 234187180656827847, 'n': 9, 'trace_an': 0}
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id: 278036009
{'hecke_orbit_code': 234187180656827847, 'n': 10, 'trace_an': 5}
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id: 278036010
{'hecke_orbit_code': 234187180656827847, 'n': 11, 'trace_an': 0}
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id: 278036011
{'hecke_orbit_code': 234187180656827847, 'n': 12, 'trace_an': 0}
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id: 278036012
{'hecke_orbit_code': 234187180656827847, 'n': 13, 'trace_an': 7}
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id: 278036013
{'hecke_orbit_code': 234187180656827847, 'n': 14, 'trace_an': -1}
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id: 278036014
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id: 278036996
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id: 278036997
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id: 278036998
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id: 278036999
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