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{'Nk2': 16120, 'analytic_conductor': 32.179712014576, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [13, 1], [31, 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': [4030, 1, [807, 1861, 2731], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 10369693, 'field_disc_factorization': [[157, 1], [257, 2]], 'field_poly': [1, -7, 5, 12, -4, -3, 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': [[3, [5, 14, 2, -14, -4, 3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781438, 'hecke_ring_generator_nbound': 3, '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': '4030.2.a.g', 'level': 4030, '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': [2, 5, 13, 31], 'level_radical': 4030, 'minimal_twist': '4030.2.a.g', 'nf_label': '6.6.10369693.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4030.2.a', 'trace_display': [6, -3, 6, -10], 'trace_hash': 72096342182589892, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.475', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.3168673137036, 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781438, 'label': '4030.2.a.g.1.5', 'level': 4030, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 9, 10, 6, 8, 7, 6, 9, 8, 7, 6, 9, 6, 8, 9, 6], 'Nk2': 16120, 'analytic_conductor': 32.179712014576, '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': [4030, 1, [807, 1861, 2731], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 665, 'dim': 121, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33558462, 'hecke_orbit_dims': [1, 2, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9], 'label': '4030.2.a', 'level': 4030, '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': [2, 5, 13, 31], 'level_radical': 4030, 'mf_dim': 680, 'mf_new_dim': 121, 'num_forms': 18, 'plus_dim': 51, 'prim_orbit_index': 1, 'relative_dim': 121, 'sturm_bound': 1344, 'trace_bound': 5, 'trace_display': [-3, -4, -3, 8], 'traces': [121, -3, -4, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021597797781438, 'source_is_minimal': True, 'source_label': '4030.2.a.g.1.5', 'source_level': 4030, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021597797781438, 'target_is_minimal': True, 'target_label': '4030.2.a.g.1.5', 'target_level': 4030, 'twist_class_label': '4030.2.a.g.1.5', 'twist_class_level': 4030, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3476175
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 27021597797781438, 'p': 2}
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id: 3476176
{'charpoly_factorization': [[[5, 14, 2, -14, -4, 3, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 3}
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id: 3476177
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 27021597797781438, 'p': 5}
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id: 3476178
{'charpoly_factorization': [[[9, -15, -28, 18, 30, 10, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 7}
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id: 3476179
{'charpoly_factorization': [[[-9, 0, 5, 1], 2]], 'hecke_orbit_code': 27021597797781438, 'p': 11}
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id: 3476180
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 27021597797781438, 'p': 13}
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id: 3476181
{'charpoly_factorization': [[[11221, 8211, 1003, -378, -73, 4, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 17}
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id: 3476182
{'charpoly_factorization': [[[9527, 9134, 943, -586, -81, 7, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 19}
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id: 3476183
{'charpoly_factorization': [[[-20205, 1143, 2987, -186, -106, 3, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 23}
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id: 3476184
{'charpoly_factorization': [[[-811, -1947, -1679, -616, -77, 4, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 29}
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id: 3476185
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 27021597797781438, 'p': 31}
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id: 3476186
{'charpoly_factorization': [[[441, 990, 502, -80, -57, 2, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 37}
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id: 3476187
{'charpoly_factorization': [[[25, 67, 12, -65, -25, 10, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 41}
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id: 3476188
{'charpoly_factorization': [[[152315, 39966, -4687, -1972, -77, 15, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 43}
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id: 3476189
{'charpoly_factorization': [[[-3215, 8571, -2588, -806, 100, 24, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 47}
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id: 3476190
{'charpoly_factorization': [[[14063, 12719, 3126, -125, -107, -2, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 53}
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id: 3476191
{'charpoly_factorization': [[[204055, -55481, -40693, -5048, -24, 25, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 59}
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id: 3476192
{'charpoly_factorization': [[[-13625, -2079, 2698, 406, -107, -9, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 61}
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id: 3476193
{'charpoly_factorization': [[[113813, 14571, -8368, -1222, 124, 26, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 67}
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id: 3476194
{'charpoly_factorization': [[[-567547, -332010, -60809, -2588, 355, 38, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 71}
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id: 3476195
{'charpoly_factorization': [[[4937, -98929, 22950, 472, -307, 1, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 73}
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id: 3476196
{'charpoly_factorization': [[[14125, 16562, 4808, -264, -151, 0, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 79}
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id: 3476197
{'charpoly_factorization': [[[-11565, -28653, -15758, -2978, -110, 18, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 83}
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id: 3476198
{'charpoly_factorization': [[[27135, -28647, 6003, 834, -217, -4, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 89}
-
id: 3476199
{'charpoly_factorization': [[[35639, -4872, -12631, -2341, -4, 21, 1], 1]], 'hecke_orbit_code': 27021597797781438, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '4030.2.a.g', 'level': 4030, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 176648000
{'hecke_orbit_code': 27021597797781438, 'n': 1, 'trace_an': 6}
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id: 176648001
{'hecke_orbit_code': 27021597797781438, 'n': 2, 'trace_an': 6}
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id: 176648002
{'hecke_orbit_code': 27021597797781438, 'n': 3, 'trace_an': -3}
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id: 176648003
{'hecke_orbit_code': 27021597797781438, 'n': 4, 'trace_an': 6}
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id: 176648004
{'hecke_orbit_code': 27021597797781438, 'n': 5, 'trace_an': 6}
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id: 176648005
{'hecke_orbit_code': 27021597797781438, 'n': 6, 'trace_an': -3}
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id: 176648006
{'hecke_orbit_code': 27021597797781438, 'n': 7, 'trace_an': -10}
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id: 176648007
{'hecke_orbit_code': 27021597797781438, 'n': 8, 'trace_an': 6}
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id: 176648008
{'hecke_orbit_code': 27021597797781438, 'n': 9, 'trace_an': -1}
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id: 176648009
{'hecke_orbit_code': 27021597797781438, 'n': 10, 'trace_an': 6}
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id: 176648010
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id: 176648994
{'hecke_orbit_code': 27021597797781438, 'n': 995, 'trace_an': -22}
-
id: 176648995
{'hecke_orbit_code': 27021597797781438, 'n': 996, 'trace_an': 44}
-
id: 176648996
{'hecke_orbit_code': 27021597797781438, 'n': 997, 'trace_an': 18}
-
id: 176648997
{'hecke_orbit_code': 27021597797781438, 'n': 998, 'trace_an': 65}
-
id: 176648998
{'hecke_orbit_code': 27021597797781438, 'n': 999, 'trace_an': -71}
-
id: 176648999
{'hecke_orbit_code': 27021597797781438, 'n': 1000, 'trace_an': 6}