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{'Nk2': 18392, 'analytic_conductor': 36.71521484938472, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, -1], [19, 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': [4598, 1, [3269, 3631], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -1, 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, [-8, -5, 2, 1]], [5, [2, -6, 1, 1]], [7, [-4, -7, 2, 1]], [13, [-4, -8, 1, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385501008374, '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': '4598.2.a.bn', 'level': 4598, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '4598.2.a.bk', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}-\\beta _{1}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': '4598.2.a', 'trace_display': [3, -2, -1, -2], 'trace_hash': 280531319122372934, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.898', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.484', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '251.120', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, 3, -2, 3, -1, -2, -2, 3, 5, -1, 0, -2, -1, -2, -12, 3, -5, 5, -3, -1, 6, 0, 2, -2, -2, -1, -2, -2, 1, -12, 0, 3, 0, -5, -4, 5, -23, -3, -4, -1, -9, 6, 4, 0, 3, 2, -6, -2, -3, -2, 8, -1, 5, -2, 0, -2, 2, 1, -18, -12, 6, 0, -20, 3, 5, 0, -8, -5, -6, -4, 0, 5, 10, -23, 22, -3, 0, -4, -4, -1, -17, -9, 4, 6, -3, 4, -18, 0, 7, 3, -16, 2, -16, -6, 1, -2, 7, -3, 0, -2, 14, 8, -12, -1, 20, 5, -22, -2, -3, 0, -2, -2, -41, 2, 4, 1, 15, -18, 20, -12, 0, 6, -16, 0, -15, -20, -20, 3, -12, 5, -40, 0, 2, -8, 4, -5, 2, -6, 12, -4, 50, 0, 0, 5, 17, 10, -28, -23, -17, 22, 28, -3, -25, 0, 16, -4, -22, -4, -2, -1, -18, -17, -28, -9, 0, 4, 20, 6, -22, -3, -5, 4, 28, -18, -6, 0, 34, 7, -30, 3, -29, -16, 20, 2, 25, -16, 0, -6, 30, 1, 22, -2, -5, 7, -8, -3, -1, 0, -12, 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mf_hecke_nf • Show schema
Hide schema
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[4, 18, -10], [-32, 7, 12], [45, 23, 21], [-31, -13, 12], [35, -20, -15], [-18, -15, -1], [17, 26, -9]], 'char_orbit_index': 1, 'field_poly': [-2, -6, -1, 1], 'hecke_orbit_code': 175640385501008374, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [4, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '4598.2.a.bn', 'level': 4598, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [11, 1], [19, -1]], 23, 5], [[[2, -1], [11, -1], [19, -1]], 26, 9], [[[2, 1], [11, -1], [19, -1]], 19, 7], [[[2, 1], [11, -1], [19, 1]], 24, 14], [[[2, -1], [11, 1], [19, 1]], 25, 6], [[[2, 1], [11, 1], [19, 1]], 16, 3], [[[2, -1], [11, 1], [19, -1]], 14, 6], [[[2, -1], [11, -1], [19, 1]], 16, 6]], 'ALdims': [16, 23, 24, 19, 25, 14, 16, 26], 'Nk2': 18392, 'analytic_conductor': 36.71521484938472, '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': [4598, 1, [3269, 3631], [1, 1]], 'conrey_index': 1, 'cusp_dim': 637, 'dim': 163, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33559030, 'hecke_orbit_dims': [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, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4598.2.a', 'level': 4598, 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190, -4, 12, 68, -1700, 14, 372, -348, 304, 8, 0, -212, 92, -336, 156, 264, 166, -12, 72, 152, 256, 0, 432, -14, -586, 22, 290, -42, -240, -28, -554, 212, 0, -136, 232, 326, 636, 28, 76, 312, -292, -310, -16, 0, 952, 52, -492, 276, -234, 52, 200, -106, 924, 12, 0, 164, 18, -36, -260, 130, -188, -188, -126, 436, 212, 0, 780, 204, -544, -324, -574, 180, 174, -64], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1212451
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': True, 'source_label': '4598.2.a.bn', 'source_level': 4598, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 37, 'target_is_minimal': True, 'target_label': '4598.2.a.bk', 'target_level': 4598, 'twist_class_label': '4598.2.a.bk', 'twist_class_level': 4598, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1212452
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': True, 'source_label': '4598.2.a.bn', 'source_level': 4598, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 40, 'target_is_minimal': True, 'target_label': '4598.2.a.bn', 'target_level': 4598, 'twist_class_label': '4598.2.a.bk', 'twist_class_level': 4598, '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: 3645075
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 175640385501008374, 'p': 2}
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id: 3645076
{'charpoly_factorization': [[[-8, -5, 2, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 3}
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id: 3645077
{'charpoly_factorization': [[[2, -6, 1, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 5}
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id: 3645078
{'charpoly_factorization': [[[-4, -7, 2, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 7}
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id: 3645079
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 175640385501008374, 'p': 11}
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id: 3645080
{'charpoly_factorization': [[[-4, -8, 1, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 13}
-
id: 3645081
{'charpoly_factorization': [[[-8, 0, 5, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 17}
-
id: 3645082
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 175640385501008374, 'p': 19}
-
id: 3645083
{'charpoly_factorization': [[[4, -7, -2, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 23}
-
id: 3645084
{'charpoly_factorization': [[[-25, -19, -1, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 29}
-
id: 3645085
{'charpoly_factorization': [[[-64, -40, 0, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 31}
-
id: 3645086
{'charpoly_factorization': [[[271, 157, 23, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 37}
-
id: 3645087
{'charpoly_factorization': [[[-242, -22, 9, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 41}
-
id: 3645088
{'charpoly_factorization': [[[32, -28, -4, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 43}
-
id: 3645089
{'charpoly_factorization': [[[-508, -79, 6, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 47}
-
id: 3645090
{'charpoly_factorization': [[[-37, -59, -5, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 53}
-
id: 3645091
{'charpoly_factorization': [[[44, 59, 18, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 59}
-
id: 3645092
{'charpoly_factorization': [[[388, -78, -6, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 61}
-
id: 3645093
{'charpoly_factorization': [[[-256, -112, 8, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 67}
-
id: 3645094
{'charpoly_factorization': [[[-8, -10, 0, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 71}
-
id: 3645095
{'charpoly_factorization': [[[512, -64, -10, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 73}
-
id: 3645096
{'charpoly_factorization': [[[8, -14, 4, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 79}
-
id: 3645097
{'charpoly_factorization': [[[-8, -14, -4, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 83}
-
id: 3645098
{'charpoly_factorization': [[[-142, -142, -7, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 89}
-
id: 3645099
{'charpoly_factorization': [[[16, -8, -7, 1], 1]], 'hecke_orbit_code': 175640385501008374, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '4598.2.a.bn', 'level': 4598, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 272915000
{'hecke_orbit_code': 175640385501008374, 'n': 1, 'trace_an': 3}
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id: 272915001
{'hecke_orbit_code': 175640385501008374, 'n': 2, 'trace_an': 3}
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id: 272915002
{'hecke_orbit_code': 175640385501008374, 'n': 3, 'trace_an': -2}
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id: 272915003
{'hecke_orbit_code': 175640385501008374, 'n': 4, 'trace_an': 3}
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id: 272915004
{'hecke_orbit_code': 175640385501008374, 'n': 5, 'trace_an': -1}
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id: 272915005
{'hecke_orbit_code': 175640385501008374, 'n': 6, 'trace_an': -2}
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id: 272915006
{'hecke_orbit_code': 175640385501008374, 'n': 7, 'trace_an': -2}
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id: 272915007
{'hecke_orbit_code': 175640385501008374, 'n': 8, 'trace_an': 3}
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id: 272915008
{'hecke_orbit_code': 175640385501008374, 'n': 9, 'trace_an': 5}
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id: 272915009
{'hecke_orbit_code': 175640385501008374, 'n': 10, 'trace_an': -1}
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id: 272915010
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