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{'Nk2': 18564, 'analytic_conductor': 37.058571578076226, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [13, 1], [17, -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': [4641, 1, [3095, 3979, 3928, 547], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 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': 0, 'hecke_cutters': [[2, [1, 1]], [5, [-6, 2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425152545, 'hecke_ring_generator_nbound': 5, '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': '4641.2.a.h', 'level': 4641, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13, 17], 'level_radical': 4641, 'minimal_twist': '4641.2.a.h', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}-q^{4}+(-1-\\beta )q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4641.2.a', 'trace_display': [-2, 2, -2, -2], 'trace_hash': 2274752530821517084, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.852', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.439', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [2, -2, 2, -2, -2, -2, -2, 6, 2, 2, -4, -2, -2, 2, -2, -2, 2, -2, 4, 2, -2, 4, 4, 6, 6, 2, 2, 2, -2, 2, -12, -10, -4, -2, 2, -2, -14, -4, -2, -6, 2, 2, 16, 4, -2, -4, -6, -2, 2, -6, 2, 2, 12, -2, 4, -6, 4, 2, 6, 2, 14, 12, -2, 14, 2, 4, -14, -2, 4, -2, -8, 6, 8, 14, 6, -4, 4, 2, 8, 2, 2, -2, 2, 2, -2, -16, -2, -12, 0, 2, 2, -4, -12, 6, -32, -10, -8, -2, -4, -6, -4, -2, -14, -6, 2, -12, -4, -2, -18, -4, -14, 2, 22, -4, 24, 2, -2, -6, -2, -6, -14, -14, 2, 12, -24, 2, 4, 6, 16, -2, -20, 4, -4, 14, -2, 6, -20, -4, -12, -2, -6, 8, 4, -2, 16, -8, 2, 14, 20, -6, -6, 12, 2, -4, 12, 2, -8, -8, 12, 10, -4, -2, 24, -2, 4, -2, -8, -6, 2, 2, 4, -16, -44, 2, -6, 4, 6, 0, -22, 2, -18, -2, 14, 12, 0, 12, -4, 6, -2, 32, 10, 14, -18, 8, 2, -2, -20, 4, -12, 18, -14, 4, 2, -2, -16, 14, 4, 2, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [-1, 0], [1, 0], [-1, 0], [-1, -1], [-1, 0], [-1, 0], [3, 0], [1, 0], [1, 1], [-2, 0], [-1, 0], [-1, 0], [1, 0], [-1, -1], [-1, 0], [1, 0], [-1, 0], [2, 2], [1, 1], [-1, 0], [2, 0], [2, -2], [3, 0], [3, 2], [1, 0], [1, 0], [1, 0], [-1, -1], [1, 1], [-6, 0], [-5, 0], [-2, 0], [-1, 0], [1, 1], [-1, 0], [-7, 1], [-2, -2], [-1, 0], [-3, -3], [1, 1], [1, 0], [8, 0], [2, 0], [-1, -1], [-2, 2], [-3, 3], [-1, 0], [1, 0], [-3, -2], [1, 0], [1, 0], [6, 0], [-1, 0], [2, 2], [-3, 0], [2, 2], [1, 1], [3, -3], [1, 1], [7, 3], [6, 0], [-1, 0], [7, 0], [1, 1], [2, 0], [-7, -1], [-1, 0], [2, -2], [-1, -1], [-4, 4], [3, 0], [4, 2], [7, -1], [3, 2], [-2, -2], [2, 0], [1, 0], [4, 4], [1, 1], [1, 0], [-1, -1], [1, -1], [1, 0], [-1, -1], [-8, 0], [-1, -1], [-6, 0], [0, -2], [1, 1], [1, 0], [-2, 2], [-6, 0], [3, -3], [-16, -4], [-5, 0], [-4, -2], [-1, 0], [-2, 0], [-3, -2]], 'ap': [[-1, 0], [1, 0], [-1, -1], [-1, 0], [-2, 0], [-1, 0], [1, 0], [2, 2], [2, -2], [-1, -1], [-6, 0], [-7, 1], [1, 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mf_newspaces • Show schema
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{'ALdims': [9, 12, 17, 12, 13, 10, 9, 14, 14, 11, 10, 15, 12, 15, 12, 8], 'Nk2': 18564, 'analytic_conductor': 37.058571578076226, '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': [4641, 1, [3095, 3979, 3928, 547], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 665, 'dim': 193, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33559073, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 7, 7, 8, 9, 9, 9, 11, 12, 12, 13, 14, 14, 14, 15, 17], 'label': '4641.2.a', 'level': 4641, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13, 17], 'level_radical': 4641, 'mf_dim': 680, 'mf_new_dim': 193, 'num_forms': 27, 'plus_dim': 81, 'prim_orbit_index': 1, 'relative_dim': 193, 'sturm_bound': 1344, 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mf_twists_nf • Show schema
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{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '4641.2.a.h', 'source_level': 4641, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '4641.2.a.h', 'target_level': 4641, 'twist_class_label': '4641.2.a.h', 'twist_class_level': 4641, '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: 3659300
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 2}
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id: 3659301
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 3}
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id: 3659302
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 5}
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id: 3659303
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 7}
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id: 3659304
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 11}
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id: 3659305
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 13}
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id: 3659306
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 17}
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id: 3659307
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 19}
-
id: 3659308
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 23}
-
id: 3659309
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 29}
-
id: 3659310
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 31}
-
id: 3659311
{'charpoly_factorization': [[[42, 14, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 37}
-
id: 3659312
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 41}
-
id: 3659313
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 43}
-
id: 3659314
{'charpoly_factorization': [[[-54, 6, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 47}
-
id: 3659315
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525197425152545, 'p': 53}
-
id: 3659316
{'charpoly_factorization': [[[-54, -6, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 59}
-
id: 3659317
{'charpoly_factorization': [[[-14, -14, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 61}
-
id: 3659318
{'charpoly_factorization': [[[42, 14, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 67}
-
id: 3659319
{'charpoly_factorization': [[[-96, 8, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 71}
-
id: 3659320
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 73}
-
id: 3659321
{'charpoly_factorization': [[[-96, -8, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 79}
-
id: 3659322
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 83}
-
id: 3659323
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 89}
-
id: 3659324
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 31525197425152545, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '4641.2.a.h', 'level': 4641, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 187486000
{'hecke_orbit_code': 31525197425152545, 'n': 1, 'trace_an': 2}
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id: 187486001
{'hecke_orbit_code': 31525197425152545, 'n': 2, 'trace_an': -2}
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id: 187486002
{'hecke_orbit_code': 31525197425152545, 'n': 3, 'trace_an': 2}
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id: 187486003
{'hecke_orbit_code': 31525197425152545, 'n': 4, 'trace_an': -2}
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id: 187486004
{'hecke_orbit_code': 31525197425152545, 'n': 5, 'trace_an': -2}
-
id: 187486005
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id: 187486990
{'hecke_orbit_code': 31525197425152545, 'n': 991, 'trace_an': 12}
-
id: 187486991
{'hecke_orbit_code': 31525197425152545, 'n': 992, 'trace_an': 60}
-
id: 187486992
{'hecke_orbit_code': 31525197425152545, 'n': 993, 'trace_an': -6}
-
id: 187486993
{'hecke_orbit_code': 31525197425152545, 'n': 994, 'trace_an': -8}
-
id: 187486994
{'hecke_orbit_code': 31525197425152545, 'n': 995, 'trace_an': 96}
-
id: 187486995
{'hecke_orbit_code': 31525197425152545, 'n': 996, 'trace_an': -2}
-
id: 187486996
{'hecke_orbit_code': 31525197425152545, 'n': 997, 'trace_an': 2}
-
id: 187486997
{'hecke_orbit_code': 31525197425152545, 'n': 998, 'trace_an': 28}
-
id: 187486998
{'hecke_orbit_code': 31525197425152545, 'n': 999, 'trace_an': -14}
-
id: 187486999
{'hecke_orbit_code': 31525197425152545, 'n': 1000, 'trace_an': -72}