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{'Nk2': 6468, 'analytic_conductor': 12.911810006841039, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 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': [1617, 1, [1079, 199, 442], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 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, -4, 0, 1]], [5, [-8, -1, 4, 1]], [13, [4, -11, 2, 1]], [17, [-16, -20, 4, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071483985, 'hecke_ring_generator_nbound': 2, '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': '1617.2.a.q', 'level': 1617, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '1617.2.a.q', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(-1-\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1617.2.a', 'trace_display': [0, -3, -4, 0], 'trace_hash': 1968783788202234955, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.939', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.770', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '256.220', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, 'traces': [3, 0, -3, 2, -4, 0, 0, 3, 3, -5, 3, -2, -2, 0, 4, -4, -4, 0, -4, 5, 0, 0, 0, -3, 3, -11, -3, 0, 6, 5, -8, -4, -3, 10, 0, 2, -8, -5, 2, -4, 8, 0, -8, 2, -4, 0, -10, 4, 0, -1, 4, -15, 10, 0, -4, 0, 4, -17, -6, -5, -16, 22, 0, -21, 0, 0, 8, -18, 0, 0, 0, 3, -2, -11, -3, 5, 0, 11, -12, -15, 3, -22, 4, 0, -20, 22, -6, 3, -16, -5, 0, 0, 8, -21, 18, 4, -8, 0, 3, -27, 24, -10, -32, -2, 0, -10, 18, -2, -22, -5, 8, 0, 6, 5, 0, -31, -2, 31, 0, 4, 3, -22, -8, 22, -12, 0, -36, -8, 8, 17, 0, -2, 0, 25, 4, -4, -18, 0, 8, 0, 10, -30, -2, -4, -26, 23, 0, -19, 26, 1, 16, -4, -4, 0, 16, 15, 4, -32, -10, 33, 0, 0, 16, -22, 4, 22, -48, 0, -13, 22, -4, 22, 16, 17, 0, -4, 6, 10, 8, 5, -44, 0, 16, 0, 8, -22, -4, -5, 0, -1, 4, 21, -18, 54, 0, 0, 38, 0, 0, 3, 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 12, 4], [[[3, 1], [7, -1], [11, -1]], 7, 3], [[[3, -1], [7, 1], [11, 1]], 8, 2], [[[3, 1], [7, -1], [11, 1]], 10, 4], [[[3, -1], [7, 1], [11, -1]], 6, 2], [[[3, -1], [7, -1], [11, 1]], 9, 7], [[[3, 1], [7, 1], [11, -1]], 9, 2], [[[3, 1], [7, 1], [11, 1]], 7, 4]], 'ALdims': [7, 9, 10, 7, 8, 6, 9, 12], 'Nk2': 6468, 'analytic_conductor': 12.911810006841039, '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': [1617, 1, [1079, 199, 442], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 209, 'dim': 68, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13, 17], 'hecke_orbit_code': 33556049, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '1617.2.a', 'level': 1617, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': 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48, -20, -200, -32, -144, 0, -28, 848, -136, -16], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 775325
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1617.2.a.q', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '1617.2.a.q', 'target_level': 1617, 'twist_class_label': '1617.2.a.q', 'twist_class_level': 1617, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 775326
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1617.2.a.q', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '1617.2.a.r', 'target_level': 1617, 'twist_class_label': '1617.2.a.q', 'twist_class_level': 1617, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 775327
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1617.2.a.q', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '4851.2.a.bl', 'target_level': 4851, 'twist_class_label': '1617.2.a.q', 'twist_class_level': 1617, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 775328
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1617.2.a.q', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '4851.2.a.bm', 'target_level': 4851, 'twist_class_label': '1617.2.a.q', 'twist_class_level': 1617, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2079825
{'charpoly_factorization': [[[-1, -4, 0, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 2}
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id: 2079826
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 72057594071483985, 'p': 3}
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id: 2079827
{'charpoly_factorization': [[[-8, -1, 4, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 5}
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id: 2079828
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 72057594071483985, 'p': 7}
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id: 2079829
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 72057594071483985, 'p': 11}
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id: 2079830
{'charpoly_factorization': [[[4, -11, 2, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 13}
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id: 2079831
{'charpoly_factorization': [[[-16, -20, 4, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 17}
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id: 2079832
{'charpoly_factorization': [[[-8, -1, 4, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 19}
-
id: 2079833
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 72057594071483985, 'p': 23}
-
id: 2079834
{'charpoly_factorization': [[[82, -49, -6, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 29}
-
id: 2079835
{'charpoly_factorization': [[[-208, -28, 8, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 31}
-
id: 2079836
{'charpoly_factorization': [[[-2, 9, 8, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 37}
-
id: 2079837
{'charpoly_factorization': [[[208, -28, -8, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 41}
-
id: 2079838
{'charpoly_factorization': [[[-208, -28, 8, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 43}
-
id: 2079839
{'charpoly_factorization': [[[-124, 1, 10, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 47}
-
id: 2079840
{'charpoly_factorization': [[[32, 8, -10, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 53}
-
id: 2079841
{'charpoly_factorization': [[[196, -91, 6, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 59}
-
id: 2079842
{'charpoly_factorization': [[[-16, 36, 16, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 61}
-
id: 2079843
{'charpoly_factorization': [[[644, -137, -8, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 67}
-
id: 2079844
{'charpoly_factorization': [[[-416, -228, 0, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 71}
-
id: 2079845
{'charpoly_factorization': [[[212, -151, 2, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 73}
-
id: 2079846
{'charpoly_factorization': [[[-128, -16, 12, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 79}
-
id: 2079847
{'charpoly_factorization': [[[-32, -44, -4, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 83}
-
id: 2079848
{'charpoly_factorization': [[[32, 60, 16, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 89}
-
id: 2079849
{'charpoly_factorization': [[[-1568, -180, 8, 1], 1]], 'hecke_orbit_code': 72057594071483985, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '1617.2.a.q', 'level': 1617, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 237586000
{'hecke_orbit_code': 72057594071483985, 'n': 1, 'trace_an': 3}
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id: 237586001
{'hecke_orbit_code': 72057594071483985, 'n': 2, 'trace_an': 0}
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id: 237586002
{'hecke_orbit_code': 72057594071483985, 'n': 3, 'trace_an': -3}
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id: 237586003
{'hecke_orbit_code': 72057594071483985, 'n': 4, 'trace_an': 2}
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id: 237586004
{'hecke_orbit_code': 72057594071483985, 'n': 5, 'trace_an': -4}
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