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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [19, -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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [2, -4, 1]], [7, [-4, -4, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816742896, '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': '1520.2.a.o', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '380.2.a.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2+\\beta )q^{3}+q^{5}+(2-2\\beta )q^{7}+(3+4\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.2.a', 'trace_display': [0, 4, 2, 4], 'trace_hash': 293299569972764604, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.931', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.558', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [2, 1], [0, 0], [1, 0], [0, 0], [2, -2], [0, 0], [3, 4], [0, 0], [2, 0], [0, 0], [-2, -3], [0, 0], [2, 1], [0, 0], [-2, 2], [0, 0], [1, 0], [0, 0], [0, -2], [0, 0], [6, 0], [0, 0], [1, 0], [0, 0], [8, 8], [0, 0], [2, -6], [0, 0], [4, 2], [0, 0], [4, 2], [0, 0], [2, -2], [0, 0], [-6, 3], [0, 0], [-10, -8], [0, 0], [-2, 4], [0, 0], [-2, -2], [0, 0], [3, 4], [0, 0], [2, 2], [0, 0], [5, -8], [0, 0], [0, 2], [0, 0], [2, 5], [0, 0], [2, 0], [0, 0], [2, 1], [0, 0], [-8, -4], [0, 0], [-8, -4], [0, 0], [-10, 2], [0, 0], [-2, -3], [0, 0], [2, 1], [0, 0], [12, 6], [0, 0], [-8, 2], [0, 0], [6, -6], [0, 0], [2, 1], [0, 0], [4, -4], [0, 0], [4, -4], [0, 0], [23, 12], [0, 0], [2, 8], [0, 0], [-2, 2], [0, 0], [-8, -10], [0, 0], [2, -6], [0, 0], [8, -2], [0, 0], [12, 8], [0, 0], [1, 0], [0, 0], [-6, -3], [0, 0], [6, 8], [0, 0]], 'ap': [[0, 0], [2, 1], [1, 0], [2, -2], [2, 0], [-2, -3], [-2, 2], [1, 0], [6, 0], [2, -6], [4, 2], [-6, 3], [-2, 4], [-2, -2], [2, 2], [2, 5], [-8, 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[-6, -5], [44, 12], [2, -53], [22, 20], [6, 31], [-22, -24], [66, -22], [-54, -24], [-44, 24], [30, 33], [-26, 10], [54, -9], [42, -18], [2, 25], [22, -14], [-12, -56], [-42, 35], [54, 11], [58, -9], [0, 12], [-64, -20], [58, 20]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 63050394816742896, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1520.2.a.o', 'level': 1520, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 5, 2], [[[2, -1], [5, -1], [19, -1]], 7, 3], [[[2, 1], [5, -1], [19, -1]], 4, 4], [[[2, 1], [5, -1], [19, 1]], 4, 2], [[[2, 1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [5, -1], [19, 1]], 3, 2], [[[2, -1], [5, 1], [19, 1]], 6, 3], [[[2, -1], [5, 1], [19, -1]], 2, 2]], 'ALdims': [5, 5, 4, 4, 6, 2, 3, 7], 'Nk2': 6080, 'analytic_conductor': 12.137261107234618, '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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33555952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4], 'label': '1520.2.a', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 252, 'mf_new_dim': 36, 'num_forms': 20, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [36, 0, 0, 0, 0, 0, 4, 0, 36, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 20, 0, 36, 0, 24, 0, -8, 0, 0, 0, 0, 0, -12, 0, -16, 0, 0, 0, 0, 0, -4, 0, 8, 0, -4, 0, 36, 0, 16, 0, -16, 0, 8, 0, 0, 0, 16, 0, 0, 0, 60, 0, 0, 0, 40, 0, 40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 28, 0, 4, 0, 0, 0, -24, 0, -8, 0, 64, 0, -16, 0, 8, 0, 0, 0, -40, 0, -40, 0, 48, 0, -8, 0, -16, 0, -16, 0, 56, 0, -32, 0, -12, 0, -16, 0, -80, 0, 20, 0, 48, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 0, -24, 0, -32, 0, -48, 0, -40, 0, -24, 0, 16, 0, -32, 0, 16, 0, 32, 0, 24, 0, 16, 0, 0, 0, -32, 0, -16, 0, 28, 0, 0, 0, 0, 0, 84, 0, 0, 0, -48, 0, 4, 0, 56, 0, -64, 0, 24, 0, -72, 0, 0, 0, -48, 0, -16, 0, 0, 0, 0, 0, -8, 0, -96, 0, -56, 0, 32, 0, -40, 0, 24, 0, 76, 0, 0, 0, 32, 0, -128, 0, 4, 0, 32, 0, 80, 0, -32, 0, -24, 0, 36, 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mf_twists_nf • Show schema
Hide schema
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id: 750012
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '380.2.a.c', 'target_level': 380, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 750013
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1520.2.a.o', 'target_level': 1520, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 750014
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1900.2.a.e', 'target_level': 1900, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 750015
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1900.2.c.d', 'target_level': 1900, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 750016
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3420.2.a.g', 'target_level': 3420, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 750017
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '6080.2.a.y', 'target_level': 6080, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 750018
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '6080.2.a.bl', 'target_level': 6080, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 750019
{'conductor': 76, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '7220.2.a.m', 'target_level': 7220, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '76.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 750020
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '1520.2.a.o', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7600.2.a.u', 'target_level': 7600, 'twist_class_label': '380.2.a.c', 'twist_class_level': 380, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2007175
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050394816742896, 'p': 2}
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id: 2007176
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 3}
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id: 2007177
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 63050394816742896, 'p': 5}
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id: 2007178
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 7}
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id: 2007179
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 63050394816742896, 'p': 11}
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id: 2007180
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 13}
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id: 2007181
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 17}
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id: 2007182
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 63050394816742896, 'p': 19}
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id: 2007183
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 63050394816742896, 'p': 23}
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id: 2007184
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 29}
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id: 2007185
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 31}
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id: 2007186
{'charpoly_factorization': [[[18, 12, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 37}
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id: 2007187
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 41}
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id: 2007188
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 43}
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id: 2007189
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 47}
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id: 2007190
{'charpoly_factorization': [[[-46, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 53}
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id: 2007191
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 59}
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id: 2007192
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 61}
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id: 2007193
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 67}
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id: 2007194
{'charpoly_factorization': [[[56, 16, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 71}
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id: 2007195
{'charpoly_factorization': [[[-36, -12, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 73}
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id: 2007196
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 79}
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id: 2007197
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 83}
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id: 2007198
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 89}
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id: 2007199
{'charpoly_factorization': [[[18, 12, 1], 1]], 'hecke_orbit_code': 63050394816742896, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '1520.2.a.o', 'level': 1520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 230182000
{'hecke_orbit_code': 63050394816742896, 'n': 1, 'trace_an': 2}
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id: 230182001
{'hecke_orbit_code': 63050394816742896, 'n': 2, 'trace_an': 0}
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id: 230182002
{'hecke_orbit_code': 63050394816742896, 'n': 3, 'trace_an': 4}
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id: 230182003
{'hecke_orbit_code': 63050394816742896, 'n': 4, 'trace_an': 0}
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id: 230182004
{'hecke_orbit_code': 63050394816742896, 'n': 5, 'trace_an': 2}
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id: 230182005
{'hecke_orbit_code': 63050394816742896, 'n': 6, 'trace_an': 0}
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