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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [13, 1]], 'atkin_lehner_string': '-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 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': [[5, [-1, 1]], [11, [3, 1]], [17, [-5, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425152272, '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': '4368.2.a.h', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+q^{7}+q^{9}-3q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4368/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.a', 'trace_display': [0, -1, 1, 1], 'trace_hash': 1859185880592027023, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [13, -1]], 5, 2], [[[2, 1], [3, -1], [7, 1], [13, 1]], 6, 5], [[[2, 1], [3, 1], [7, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 3, 3], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [7, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [3, -1], [7, -1], [13, 1]], 5, 3], [[[2, -1], [3, 1], [7, 1], [13, -1]], 5, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 4, 3]], 'ALdims': [6, 4, 3, 5, 6, 2, 3, 7, 4, 5, 3, 6, 6, 5, 5, 2], 'Nk2': 17472, 'analytic_conductor': 34.87865560289527, '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': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 873, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33558800, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4], 'label': '4368.2.a', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 72, 'num_forms': 45, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1792, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [72, 0, 0, 0, 0, 0, -4, 0, 72, 0, -8, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -8, 0, 72, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, -16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 32, 0, -4, 0, 0, 0, 16, 0, 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mf_twists_cc • Show schema
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id: 46076673
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152272, 'source_is_minimal': False, 'source_label': '4368.2.a.h.1.1', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425152272, 'target_is_minimal': False, 'target_label': '4368.2.a.h.1.1', 'target_level': 4368, 'twist_class_label': '546.2.a.c.1.1', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46076674
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152272, 'source_is_minimal': False, 'source_label': '4368.2.a.h.1.1', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295970, 'target_is_minimal': True, 'target_label': '546.2.a.c.1.1', 'target_level': 546, 'twist_class_label': '546.2.a.c.1.1', 'twist_class_level': 546, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46076675
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152272, 'source_is_minimal': False, 'source_label': '4368.2.a.h.1.1', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816743014, 'target_is_minimal': False, 'target_label': '1638.2.a.o.1.1', 'target_level': 1638, 'twist_class_label': '546.2.a.c.1.1', 'twist_class_level': 546, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46076676
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152272, 'source_is_minimal': False, 'source_label': '4368.2.a.h.1.1', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543040238, 'target_is_minimal': False, 'target_label': '3822.2.a.e.1.1', 'target_level': 3822, 'twist_class_label': '546.2.a.c.1.1', 'twist_class_level': 546, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46076677
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152272, 'source_is_minimal': False, 'source_label': '4368.2.a.h.1.1', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717823930, 'target_is_minimal': False, 'target_label': '7098.2.a.z.1.1', 'target_level': 7098, 'twist_class_label': '546.2.a.c.1.1', 'twist_class_level': 546, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3580550
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 2}
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id: 3580551
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 3}
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id: 3580552
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 5}
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id: 3580553
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 7}
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id: 3580554
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 11}
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id: 3580555
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 13}
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id: 3580556
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 17}
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id: 3580557
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 19}
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id: 3580558
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 23}
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id: 3580559
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 29}
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id: 3580560
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 31}
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id: 3580561
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 37}
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id: 3580562
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 41}
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id: 3580563
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 43}
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id: 3580564
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 47}
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id: 3580565
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 53}
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id: 3580566
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 59}
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id: 3580567
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 61}
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id: 3580568
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 67}
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id: 3580569
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 71}
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id: 3580570
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 73}
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id: 3580571
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 79}
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id: 3580572
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 83}
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id: 3580573
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 89}
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id: 3580574
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425152272, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '4368.2.a.h', 'level': 4368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 187337000
{'hecke_orbit_code': 31525197425152272, 'n': 1, 'trace_an': 1}
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id: 187337001
{'hecke_orbit_code': 31525197425152272, 'n': 2, 'trace_an': 0}
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id: 187337002
{'hecke_orbit_code': 31525197425152272, 'n': 3, 'trace_an': -1}
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id: 187337003
{'hecke_orbit_code': 31525197425152272, 'n': 4, 'trace_an': 0}
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id: 187337004
{'hecke_orbit_code': 31525197425152272, 'n': 5, 'trace_an': 1}
-
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{'hecke_orbit_code': 31525197425152272, 'n': 998, 'trace_an': 0}
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id: 187337998
{'hecke_orbit_code': 31525197425152272, 'n': 999, 'trace_an': 5}
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id: 187337999
{'hecke_orbit_code': 31525197425152272, 'n': 1000, 'trace_an': 0}