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{'Nk2': 9660, 'analytic_conductor': 19.283872088139212, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [7, 1], [23, 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': [2415, 1, [806, 967, 346, 1891], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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]], [11, [2, 1]], [13, [0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052520815, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2415.2.a.i', 'level': 2415, '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, 5, 7, 23], 'level_radical': 2415, 'minimal_twist': '2415.2.a.i', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/2415/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2415.2.a', 'trace_display': [1, 1, 1, -1], 'trace_hash': 524718777715415956, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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-
mf_newspaces • Show schema
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{'ALdims': [6, 6, 6, 4, 7, 3, 3, 9, 7, 3, 3, 9, 2, 10, 10, 1], 'Nk2': 9660, 'analytic_conductor': 19.283872088139212, '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': [2415, 1, [806, 967, 346, 1891], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 377, 'dim': 89, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 33556847, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 5, 6, 6, 7, 7, 7, 9, 10, 10], 'label': '2415.2.a', 'level': 2415, '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, 5, 7, 23], 'level_radical': 2415, 'mf_dim': 392, 'mf_new_dim': 89, 'num_forms': 23, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 89, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [3, 1, 1, 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-86, 64, 46, 12, -192, 192, -110, 100, 143, -18, -26, 16, 95, 204, 8, -52, -130, 38, 184, -452, -164, 38, -30, 224, 204, 336, 254, -2, 314, 52, 22, 104, 15, 116, 554, 16, -28, 22, 352, 24, 98, -238, 16, 20, 470, -144, -452, 72, 50, 282, 140, 26, -32, 110, -38, 10, 164, -7, 120, -92, -48, 140, -20, -146, -210, 122, -30, 48, 448, 168, 416, -70, 127, 281, 492, 28, -50, 98, 3, -248, -5, -40, 118, -212, 7, -36, 56, 14, 18, 34, 28, 120, 7, 46, -348, -248, 318, -10, 308, 48, 472, -4, -76, 72, -176, 172, -56, 40, -100, 198, 348, 38, 15], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 46464559
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052520815, 'source_is_minimal': True, 'source_label': '2415.2.a.i.1.1', 'source_level': 2415, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052520815, 'target_is_minimal': True, 'target_label': '2415.2.a.i.1.1', 'target_level': 2415, 'twist_class_label': '2415.2.a.i.1.1', 'twist_class_level': 2415, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46464560
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052520815, 'source_is_minimal': True, 'source_label': '2415.2.a.i.1.1', 'source_level': 2415, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797784653, 'target_is_minimal': False, 'target_label': '7245.2.a.g.1.1', 'target_level': 7245, 'twist_class_label': '2415.2.a.i.1.1', 'twist_class_level': 2415, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2640850
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 2}
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id: 2640851
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 3}
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id: 2640852
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 5}
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id: 2640853
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 7}
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id: 2640854
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 11}
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id: 2640855
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 13}
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id: 2640856
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 17}
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id: 2640857
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 19}
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id: 2640858
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 23}
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id: 2640859
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 29}
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id: 2640860
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 31}
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id: 2640861
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 37}
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id: 2640862
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 41}
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id: 2640863
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 43}
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id: 2640864
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 47}
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id: 2640865
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 53}
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id: 2640866
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 59}
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id: 2640867
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 61}
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id: 2640868
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 67}
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id: 2640869
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 71}
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id: 2640870
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 73}
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id: 2640871
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 79}
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id: 2640872
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 83}
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id: 2640873
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 89}
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id: 2640874
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 36028797052520815, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '2415.2.a.i', 'level': 2415, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50527213
{'hecke_orbit_code': 36028797052520815, 'n': 1, 'trace_an': 1}
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id: 50527214
{'hecke_orbit_code': 36028797052520815, 'n': 2, 'trace_an': 1}
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id: 50527215
{'hecke_orbit_code': 36028797052520815, 'n': 3, 'trace_an': 1}
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id: 50527216
{'hecke_orbit_code': 36028797052520815, 'n': 4, 'trace_an': -1}
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id: 50527217
{'hecke_orbit_code': 36028797052520815, 'n': 5, 'trace_an': 1}
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id: 50527218
{'hecke_orbit_code': 36028797052520815, 'n': 6, 'trace_an': 1}
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id: 50527219
{'hecke_orbit_code': 36028797052520815, 'n': 7, 'trace_an': -1}
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id: 50527220
{'hecke_orbit_code': 36028797052520815, 'n': 8, 'trace_an': -3}
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id: 50527221
{'hecke_orbit_code': 36028797052520815, 'n': 9, 'trace_an': 1}
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id: 50527222
{'hecke_orbit_code': 36028797052520815, 'n': 10, 'trace_an': 1}
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id: 50527223
{'hecke_orbit_code': 36028797052520815, 'n': 11, 'trace_an': -2}
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id: 50527224
{'hecke_orbit_code': 36028797052520815, 'n': 12, 'trace_an': -1}
-
id: 50527225
{'hecke_orbit_code': 36028797052520815, 'n': 13, 'trace_an': 0}
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id: 50527226
{'hecke_orbit_code': 36028797052520815, 'n': 14, 'trace_an': -1}
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id: 50527227
{'hecke_orbit_code': 36028797052520815, 'n': 15, 'trace_an': 1}
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id: 50527228
{'hecke_orbit_code': 36028797052520815, 'n': 16, 'trace_an': -1}
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id: 50527229
{'hecke_orbit_code': 36028797052520815, 'n': 17, 'trace_an': -2}
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id: 50527230
{'hecke_orbit_code': 36028797052520815, 'n': 18, 'trace_an': 1}
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id: 50527231
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id: 50527470
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