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{'Nk2': 38720, 'analytic_conductor': 77.2951891565994, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, -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': [9680, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 788, 'field_disc_factorization': [[2, 2], [197, 1]], 'field_poly': [-3, -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': [[3, [3, -7, 1, 1]], [7, [-53, -17, 3, 1]], [13, [-4, -8, 2, 1]], [17, [144, -48, -4, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402088912, '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': False, 'label': '9680.2.a.by', 'level': 9680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '4840.2.a.s', 'nf_label': '3.3.788.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}-q^{5}+(-1-\\beta _{1}+\\beta _{2})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9680.2.a', 'trace_display': [0, -1, -3, -3], 'trace_hash': 1046003461652892751, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.877', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 0, 0], [0, -1, 0], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-1, -1, 1], [0, 0, 0], [1, 2, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-1, 0, 1], [0, 0, 0], [0, 1, 0], [0, 0, 0], [0, 2, 2], [0, 0, 0], [1, 0, 1], [0, 0, 0], [5, 2, 2], [0, 0, 0], [1, 2, 1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-7, -3, -1], [0, 0, 0], [0, 2, 0], [0, 0, 0], [7, 0, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, 1, -1], [0, 0, 0], [-2, 2, 0], [0, 0, 0], [1, 0, 1], [0, 0, 0], [2, 0, -1], [0, 0, 0], [-1, 1, 3], [0, 0, 0], [-1, -2, -1], [0, 0, 0], [2, -1, 2], [0, 0, 0], [7, 0, 1], [0, 0, 0], [-6, -6, 0], [0, 0, 0], [-1, 0, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, -2, 1], [0, 0, 0], [1, 2, 1], [0, 0, 0], [-8, 2, 1], [0, 0, 0], [-3, -8, -3], [0, 0, 0], [1, 0, -1], [0, 0, 0], [-6, 3, 0], [0, 0, 0], [-7, -6, -1], [0, 0, 0], [1, 2, 5], [0, 0, 0], [-2, 0, 2], [0, 0, 0], [0, -1, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-2, 2, 2], [0, 0, 0], [8, 8, -1], [0, 0, 0], [-3, -2, 1], [0, 0, 0], [0, -2, -2], [0, 0, 0], [-8, -4, 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[-10, -4, 24], [12, 6, -6], [-14, -6, 18], [27, -12, 9], [-2, 8, -16], [1, 3, 3], [15, 4, 5], [-4, -6, -19], [-39, -18, 12], [14, 20, 0], [-17, 10, 23], [28, -16, 10], [-39, 10, 5], [-6, -26, -6], [26, -8, 0], [9, 0, -27], [-37, 0, -14], [16, -8, 20], [33, 3, -25], [7, -6, -9], [9, 22, -2]], 'char_orbit_index': 1, 'field_poly': [-3, -7, -1, 1], 'hecke_orbit_code': 225179981402088912, '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': '9680.2.a.by', 'level': 9680, 'maxp': 3169, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, -1], [11, 1]], 30, 6], [[[2, 1], [5, 1], [11, -1]], 30, 10], [[[2, -1], [5, -1], [11, -1]], 30, 16], [[[2, 1], [5, -1], [11, -1]], 25, 10], [[[2, -1], [5, 1], [11, 1]], 30, 14], [[[2, -1], [5, -1], [11, 1]], 24, 8], [[[2, 1], [5, 1], [11, 1]], 24, 8], [[[2, -1], [5, 1], [11, -1]], 25, 12]], 'ALdims': [24, 30, 30, 25, 30, 25, 24, 30], 'Nk2': 38720, 'analytic_conductor': 77.2951891565994, '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': [9680, 1, [3631, 2421, 1937, 4721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 218, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17], 'hecke_orbit_code': 33564112, '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, 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, 4, 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mf_twists_nf • Show schema
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id: 1442969
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '9680.2.a.by', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '4840.2.a.s', 'target_level': 4840, 'twist_class_label': '4840.2.a.s', 'twist_class_level': 4840, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1442970
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '9680.2.a.by', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '4840.2.a.v', 'target_level': 4840, 'twist_class_label': '4840.2.a.s', 'twist_class_level': 4840, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1442971
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '9680.2.a.by', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '9680.2.a.by', 'target_level': 9680, 'twist_class_label': '4840.2.a.s', 'twist_class_level': 4840, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1442972
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '9680.2.a.by', 'source_level': 9680, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '9680.2.a.cd', 'target_level': 9680, 'twist_class_label': '4840.2.a.s', 'twist_class_level': 4840, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5093250
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 225179981402088912, 'p': 2}
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id: 5093251
{'charpoly_factorization': [[[3, -7, 1, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 3}
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id: 5093252
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 225179981402088912, 'p': 5}
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id: 5093253
{'charpoly_factorization': [[[-53, -17, 3, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 7}
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id: 5093254
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 225179981402088912, 'p': 11}
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id: 5093255
{'charpoly_factorization': [[[-4, -8, 2, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 13}
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id: 5093256
{'charpoly_factorization': [[[144, -48, -4, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 17}
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id: 5093257
{'charpoly_factorization': [[[12, -4, -4, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 19}
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id: 5093258
{'charpoly_factorization': [[[12, -20, -6, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 23}
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id: 5093259
{'charpoly_factorization': [[[-24, -28, -2, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 29}
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id: 5093260
{'charpoly_factorization': [[[-324, 152, -22, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 31}
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id: 5093261
{'charpoly_factorization': [[[-80, -24, 4, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 37}
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id: 5093262
{'charpoly_factorization': [[[9, -1, -5, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 41}
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id: 5093263
{'charpoly_factorization': [[[275, -81, -1, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 43}
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id: 5093264
{'charpoly_factorization': [[[-9, -35, -7, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 47}
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id: 5093265
{'charpoly_factorization': [[[-212, -72, 6, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 53}
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id: 5093266
{'charpoly_factorization': [[[12, -20, -6, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 59}
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id: 5093267
{'charpoly_factorization': [[[75, 115, 21, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 61}
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id: 5093268
{'charpoly_factorization': [[[-351, 9, 15, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 67}
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id: 5093269
{'charpoly_factorization': [[[1996, -196, -10, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 71}
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id: 5093270
{'charpoly_factorization': [[[-32, -32, 4, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 73}
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id: 5093271
{'charpoly_factorization': [[[40, -52, 2, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 79}
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id: 5093272
{'charpoly_factorization': [[[-180, -12, 10, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 83}
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id: 5093273
{'charpoly_factorization': [[[159, 67, -19, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 89}
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id: 5093274
{'charpoly_factorization': [[[-4, -8, 2, 1], 1]], 'hecke_orbit_code': 225179981402088912, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '9680.2.a.by', 'level': 9680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 277640000
{'hecke_orbit_code': 225179981402088912, 'n': 1, 'trace_an': 3}
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id: 277640001
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id: 277640996
{'hecke_orbit_code': 225179981402088912, 'n': 997, 'trace_an': 34}
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id: 277640997
{'hecke_orbit_code': 225179981402088912, 'n': 998, 'trace_an': 0}
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id: 277640998
{'hecke_orbit_code': 225179981402088912, 'n': 999, 'trace_an': -48}
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id: 277640999
{'hecke_orbit_code': 225179981402088912, 'n': 1000, 'trace_an': 0}