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{'Nk2': 27720, 'analytic_conductor': 55.33632860074731, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -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': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[13, [2, 1]], [17, [-2, 1]], [19, [-4, 1]], [23, [-4, 1]], [29, [-6, 1]], [31, [4, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972564754, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6930.2.a.bb', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'minimal_twist': '2310.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/6930/bb'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6930.2.a', 'trace_display': [1, 0, 1, -1], 'trace_hash': 1104577181812573334, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.968', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.838', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, 'traces': [1, 1, 0, 1, 1, 0, -1, 1, 0, 1, -1, 0, -2, -1, 0, 1, 2, 0, 4, 1, 0, -1, 4, 0, 1, -2, 0, -1, 6, 0, -4, 1, 0, 2, -1, 0, -2, 4, 0, 1, -10, 0, 4, -1, 0, 4, 8, 0, 1, 1, 0, -2, 6, 0, -1, -1, 0, 6, 4, 0, -2, -4, 0, 1, -2, 0, -12, 2, 0, -1, 8, 0, 2, -2, 0, 4, 1, 0, 4, 1, 0, -10, 0, 0, 2, 4, 0, -1, 10, 0, 2, 4, 0, 8, 4, 0, -2, 1, 0, 1, 10, 0, -8, -2, 0, 6, 4, 0, 6, -1, 0, -1, -6, 0, 4, 6, 0, 4, -2, 0, 1, -2, 0, -4, 1, 0, 8, 1, 0, -2, 12, 0, -4, -12, 0, 2, 18, 0, -4, -1, 0, 8, 2, 0, 6, 2, 0, -2, -2, 0, -4, 4, 0, 1, -4, 0, 2, 4, 0, 1, -4, 0, 12, -10, 0, 0, 12, 0, -9, 2, 0, 4, 22, 0, -1, -1, 0, 10, -20, 0, -2, 2, 0, 4, -2, 0, -2, 8, 0, 4, 16, 0, 22, -2, 0, 1, 6, 0, 4, 1, 0, 10, -6, 0, -10, -8, 0, -2, -4, 0, 8, 6, 0, 4, 4, 0, 4, 6, 0, -1, -4, 0, 8, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [5, 1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, -1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, 1]], 5, 2], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 2], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, 1], [3, -1], [5, -1], 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'char_order': 1, 'char_parity': 1, 'char_values': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 100, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561362, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '6930.2.a', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'mf_dim': 1760, 'mf_new_dim': 100, 'num_forms': 65, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 3456, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -16, 0, -16, 0, 0, -4, -24, 0, 100, -8, 0, 0, -16, 0, -8, 0, 0, 0, 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-168, 512, 0, 32, 0, 0, 336, -32, 0, 0, -192, 0, -144, -160, 0, -192, 0, 0, -64, -72, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1324339
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '6930.2.a.bb', 'source_level': 6930, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '2310.2.a.f', 'target_level': 2310, 'twist_class_label': '2310.2.a.f', 'twist_class_level': 2310, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1324340
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '6930.2.a.bb', 'source_level': 6930, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '6930.2.a.bb', 'target_level': 6930, 'twist_class_label': '2310.2.a.f', 'twist_class_level': 2310, '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: 4328375
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 2}
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id: 4328376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 3}
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id: 4328377
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 5}
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id: 4328378
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 7}
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id: 4328379
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 11}
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id: 4328380
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 13}
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id: 4328381
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 17}
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id: 4328382
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 19}
-
id: 4328383
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 23}
-
id: 4328384
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 29}
-
id: 4328385
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 31}
-
id: 4328386
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 37}
-
id: 4328387
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 41}
-
id: 4328388
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 43}
-
id: 4328389
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 47}
-
id: 4328390
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 53}
-
id: 4328391
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 59}
-
id: 4328392
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 61}
-
id: 4328393
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 67}
-
id: 4328394
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 71}
-
id: 4328395
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 73}
-
id: 4328396
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 79}
-
id: 4328397
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 83}
-
id: 4328398
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 89}
-
id: 4328399
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972564754, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '6930.2.a.bb', 'level': 6930, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 262257000
{'hecke_orbit_code': 121597189972564754, 'n': 1, 'trace_an': 1}
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id: 262257001
{'hecke_orbit_code': 121597189972564754, 'n': 2, 'trace_an': 1}
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id: 262257002
{'hecke_orbit_code': 121597189972564754, 'n': 3, 'trace_an': 0}
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id: 262257003
{'hecke_orbit_code': 121597189972564754, 'n': 4, 'trace_an': 1}
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id: 262257004
{'hecke_orbit_code': 121597189972564754, 'n': 5, 'trace_an': 1}
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