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{'Nk2': 30912, 'analytic_conductor': 61.70839068204548, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [23, 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': [7728, 1, [4831, 5797, 5153, 6625, 6721], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 1509, 'field_disc_factorization': [[3, 1], [503, 1]], 'field_poly': [4, -7, -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': [[5, [-4, -7, 1, 1]], [11, [3, -29, 1, 1]], [13, [-2, -15, -3, 1]], [17, [32, -19, -2, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519975472, 'hecke_ring_generator_nbound': 5, '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': '7728.2.a.bv', 'level': 7728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '1932.2.a.i', 'nf_label': '3.3.1509.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-\\beta _{1}q^{5}-q^{7}+q^{9}+(-1+2\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7728.2.a', 'trace_display': [0, 3, -1, -3], 'trace_hash': 2088576751278121319, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.048', 'prec': 17}, 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mf_hecke_nf • Show schema
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5], [-27, 2, -13], [16, -26, 16], [18, -18, 6], [-2, 14, -7], [-2, -7, 5], [-13, 8, -10]], 'char_orbit_index': 1, 'field_poly': [4, -7, -1, 1], 'hecke_orbit_code': 211669182519975472, '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], [5, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-5, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '7728.2.a.bv', 'level': 7728, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [7, 1], [23, 1]], 7, 3], [[[2, -1], [3, -1], [7, -1], [23, -1]], 8, 5], [[[2, 1], [3, 1], [7, -1], [23, -1]], 7, 2], [[[2, 1], [3, 1], [7, -1], [23, 1]], 10, 3], [[[2, -1], [3, -1], [7, -1], [23, 1]], 8, 3], [[[2, -1], [3, 1], [7, -1], [23, -1]], 8, 4], [[[2, 1], [3, -1], [7, -1], [23, -1]], 10, 2], [[[2, -1], [3, -1], [7, 1], [23, -1]], 8, 4], [[[2, 1], [3, -1], [7, 1], [23, -1]], 7, 2], [[[2, 1], [3, -1], [7, -1], [23, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [23, 1]], 8, 5], [[[2, 1], [3, -1], [7, 1], [23, 1]], 10, 4], [[[2, -1], [3, 1], [7, 1], [23, -1]], 8, 5], [[[2, -1], [3, -1], [7, 1], [23, 1]], 8, 5], [[[2, 1], [3, 1], [7, 1], [23, -1]], 10, 4], [[[2, -1], [3, 1], [7, 1], [23, 1]], 8, 5]], 'ALdims': [7, 10, 10, 7, 10, 7, 7, 10, 8, 8, 8, 8, 8, 8, 8, 8], 'Nk2': 30912, 'analytic_conductor': 61.70839068204548, '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': [7728, 1, [4831, 5797, 5153, 6625, 6721], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 132, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33562160, 'hecke_orbit_dims': [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, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6], 'label': '7728.2.a', 'level': 7728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 1560, 'mf_new_dim': 132, 'num_forms': 60, 'plus_dim': 60, 'prim_orbit_index': 1, 'relative_dim': 132, 'sturm_bound': 3072, 'trace_bound': 13, 'trace_display': [0, 0, -8, 0], 'traces': [132, 0, 0, 0, -8, 0, 0, 0, 132, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, -32, 0, -8, 0, 0, 0, 132, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 1361623
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '7728.2.a.bv', 'source_level': 7728, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1932.2.a.i', 'target_level': 1932, 'twist_class_label': '1932.2.a.i', 'twist_class_level': 1932, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1361624
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '7728.2.a.bv', 'source_level': 7728, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5796.2.a.p', 'target_level': 5796, 'twist_class_label': '1932.2.a.i', 'twist_class_level': 1932, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1361625
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '7728.2.a.bv', 'source_level': 7728, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '7728.2.a.bv', 'target_level': 7728, 'twist_class_label': '1932.2.a.i', 'twist_class_level': 1932, '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: 4555400
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 211669182519975472, 'p': 2}
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id: 4555401
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 211669182519975472, 'p': 3}
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id: 4555402
{'charpoly_factorization': [[[-4, -7, 1, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 5}
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id: 4555403
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 211669182519975472, 'p': 7}
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id: 4555404
{'charpoly_factorization': [[[3, -29, 1, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 11}
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id: 4555405
{'charpoly_factorization': [[[-2, -15, -3, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 13}
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id: 4555406
{'charpoly_factorization': [[[32, -19, -2, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 17}
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id: 4555407
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 211669182519975472, 'p': 19}
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id: 4555408
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 211669182519975472, 'p': 23}
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id: 4555409
{'charpoly_factorization': [[[-18, 3, 10, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 29}
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id: 4555410
{'charpoly_factorization': [[[-6, -15, 4, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 31}
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id: 4555411
{'charpoly_factorization': [[[86, -57, 6, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 37}
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id: 4555412
{'charpoly_factorization': [[[-409, -121, 1, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 41}
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id: 4555413
{'charpoly_factorization': [[[-24, 19, 13, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 43}
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id: 4555414
{'charpoly_factorization': [[[-108, 10, 11, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 47}
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id: 4555415
{'charpoly_factorization': [[[-27, 30, 12, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 53}
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id: 4555416
{'charpoly_factorization': [[[-27, 30, 12, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 59}
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id: 4555417
{'charpoly_factorization': [[[-339, 154, -22, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 61}
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id: 4555418
{'charpoly_factorization': [[[4, -7, -1, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 67}
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id: 4555419
{'charpoly_factorization': [[[1084, -145, -7, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 71}
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id: 4555420
{'charpoly_factorization': [[[-8, -25, -4, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 73}
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id: 4555421
{'charpoly_factorization': [[[-1278, -155, 8, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 79}
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id: 4555422
{'charpoly_factorization': [[[-18, 3, 10, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 83}
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id: 4555423
{'charpoly_factorization': [[[-54, 57, -15, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 89}
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id: 4555424
{'charpoly_factorization': [[[-242, -121, -10, 1], 1]], 'hecke_orbit_code': 211669182519975472, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '7728.2.a.bv', 'level': 7728, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276659000
{'hecke_orbit_code': 211669182519975472, 'n': 1, 'trace_an': 3}
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id: 276659001
{'hecke_orbit_code': 211669182519975472, 'n': 2, 'trace_an': 0}
-
id: 276659002
{'hecke_orbit_code': 211669182519975472, 'n': 3, 'trace_an': 3}
-
id: 276659003
{'hecke_orbit_code': 211669182519975472, 'n': 4, 'trace_an': 0}
-
id: 276659004
{'hecke_orbit_code': 211669182519975472, 'n': 5, 'trace_an': -1}
-
id: 276659005
{'hecke_orbit_code': 211669182519975472, 'n': 6, 'trace_an': 0}
-
id: 276659006
{'hecke_orbit_code': 211669182519975472, 'n': 7, 'trace_an': -3}
-
id: 276659007
{'hecke_orbit_code': 211669182519975472, 'n': 8, 'trace_an': 0}
-
id: 276659008
{'hecke_orbit_code': 211669182519975472, 'n': 9, 'trace_an': 3}
-
id: 276659009
{'hecke_orbit_code': 211669182519975472, 'n': 10, 'trace_an': 0}
-
id: 276659010
{'hecke_orbit_code': 211669182519975472, 'n': 11, 'trace_an': -1}
-
id: 276659011
{'hecke_orbit_code': 211669182519975472, 'n': 12, 'trace_an': 0}
-
id: 276659012
{'hecke_orbit_code': 211669182519975472, 'n': 13, 'trace_an': 3}
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id: 276659013
{'hecke_orbit_code': 211669182519975472, 'n': 14, 'trace_an': 0}
-
id: 276659014
{'hecke_orbit_code': 211669182519975472, 'n': 15, 'trace_an': -1}
-
id: 276659015
{'hecke_orbit_code': 211669182519975472, 'n': 16, 'trace_an': 0}
-
id: 276659016
{'hecke_orbit_code': 211669182519975472, 'n': 17, 'trace_an': 2}
-
id: 276659017
{'hecke_orbit_code': 211669182519975472, 'n': 18, 'trace_an': 0}
-
id: 276659018
{'hecke_orbit_code': 211669182519975472, 'n': 19, 'trace_an': -3}
-
id: 276659019
{'hecke_orbit_code': 211669182519975472, 'n': 20, 'trace_an': 0}
-
id: 276659020
{'hecke_orbit_code': 211669182519975472, 'n': 21, 'trace_an': -3}
-
id: 276659021
{'hecke_orbit_code': 211669182519975472, 'n': 22, 'trace_an': 0}
-
id: 276659022
{'hecke_orbit_code': 211669182519975472, 'n': 23, 'trace_an': -3}
-
id: 276659023
{'hecke_orbit_code': 211669182519975472, 'n': 24, 'trace_an': 0}
-
id: 276659024
{'hecke_orbit_code': 211669182519975472, 'n': 25, 'trace_an': 0}
-
id: 276659025
{'hecke_orbit_code': 211669182519975472, 'n': 26, 'trace_an': 0}
-
id: 276659026
{'hecke_orbit_code': 211669182519975472, 'n': 27, 'trace_an': 3}
-
id: 276659027
{'hecke_orbit_code': 211669182519975472, 'n': 28, 'trace_an': 0}
-
id: 276659028
{'hecke_orbit_code': 211669182519975472, 'n': 29, 'trace_an': -10}
-
id: 276659029
{'hecke_orbit_code': 211669182519975472, 'n': 30, 'trace_an': 0}
-
id: 276659030
{'hecke_orbit_code': 211669182519975472, 'n': 31, 'trace_an': -4}
-
id: 276659031
{'hecke_orbit_code': 211669182519975472, 'n': 32, 'trace_an': 0}
-
id: 276659032
{'hecke_orbit_code': 211669182519975472, 'n': 33, 'trace_an': -1}
-
id: 276659033
{'hecke_orbit_code': 211669182519975472, 'n': 34, 'trace_an': 0}
-
id: 276659034
{'hecke_orbit_code': 211669182519975472, 'n': 35, 'trace_an': 1}
-
id: 276659035
{'hecke_orbit_code': 211669182519975472, 'n': 36, 'trace_an': 0}
-
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