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mf_newforms • Show schema
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{'Nk2': 924, 'analytic_conductor': 1.8445442866915769, 'analytic_rank': 0, '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': [231, 1, [155, 199, 211], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 837, 'field_disc_factorization': [[3, 3], [31, 1]], 'field_poly': [-1, -6, 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, -6, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666151, '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': '231.2.a.d', 'level': 231, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '231.2.a.d', 'nf_label': '3.3.837.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}+(\\beta _{1}-\\beta _{2})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': '231.2.a', 'trace_display': [0, -3, 0, -3], 'trace_hash': 674110324940606529, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.324', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.367', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '297.596', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, 'traces': [3, 0, -3, 6, 0, 0, -3, 3, 3, 9, 3, -6, 0, 0, 0, 12, 0, 0, 12, -21, 3, 0, -6, -3, 15, 9, -3, -6, 12, -9, -6, 6, -3, -24, 0, 6, 0, -15, 0, 18, 6, 0, 6, 6, 0, -24, -24, -12, 3, -39, 0, -21, 0, 0, 0, -3, -12, -9, -24, 21, 18, 6, -3, -21, 30, 0, 12, -6, 6, -9, 12, 3, 24, 39, -15, -3, -3, -9, 12, 9, 3, 30, -18, 6, -18, -24, -12, 3, 18, 9, 0, -18, 6, 15, 12, -6, 24, 0, 3, -3, -12, 24, 0, 18, 0, -6, -12, -6, -12, 9, 0, -12, -6, 15, -18, 45, 0, 3, 0, -18, 3, 0, -6, 36, -6, 0, 18, 12, -6, -39, 12, -6, -12, 15, 0, -48, 0, 24, 24, 21, 24, -48, 0, 12, -30, -9, -3, 33, 36, 39, -18, -18, 0, 0, -42, 21, -30, 48, 0, -21, 6, 0, -12, 66, 0, 6, -6, 3, -9, 42, 12, 6, -30, 9, -15, 12, 24, 12, -36, -21, 24, -9, -18, -54, 6, -6, 0, -21, 3, 39, -6, 21, 12, 6, -30, 6, 6, 0, -6, -63, -12, -60, -12, 6, -24, 30, -6, 9, 12, 9, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 1, 0], [-1, 0, 0], [2, 0, 1], [0, 1, -1], [0, -1, 0], [-1, 0, 0], [1, 2, 0], [1, 0, 0], [3, -2, 1], [1, 0, 0], [-2, 0, -1], [0, 1, -1], [0, -1, 0], [0, -1, 1], [4, 1, 0], [0, -2, 0], [0, 1, 0], [4, -1, -1], [-7, 3, 0], [1, 0, 0], [0, 1, 0], [-2, -2, 0], [-1, -2, 0], [5, -3, -1], [3, -2, 1], [-1, 0, 0], [-2, 0, -1], [4, -1, 1], [-3, 2, -1], [-2, 0, 2], [2, 0, 1], [-1, 0, 0], [-8, 0, -2], [0, -1, 1], [2, 0, 1], [0, 3, 1], [-5, 2, -1], [0, -1, 1], [6, -3, 1], [2, 2, 2], [0, 1, 0], [2, -2, 0], [2, 0, 1], [0, 1, -1], [-8, -2, -2], [-8, 1, 1], [-4, -1, 0], [1, 0, 0], [-13, 3, -3], [0, 2, 0], [-7, 3, 0], [0, 0, -2], [0, -1, 0], [0, 1, -1], [-1, -2, 0], [-4, 1, 1], [-3, 6, -1], [-8, 1, -3], [7, -3, 0], [6, 0, 0], [2, 2, 0], [-1, 0, 0], [-7, 2, 0], [10, -3, -1], [0, -1, 0], [4, 1, 1], [-2, -8, 0], [2, 2, 0], [-3, 2, -1], [4, -4, 0], [1, 2, 0], [8, -1, 1], [13, 2, 3], [-5, 3, 1], [-1, -5, 4], [-1, 0, 0], [-3, 2, -1], [4, 4, 0], [3, 2, -3], [1, 0, 0], [10, 6, 2], [-6, 0, 2], [2, 0, 1], [-6, 4, -2], [-8, 2, -2], [-4, 1, -1], [1, 2, 0], [6, 0, 4], [3, -2, 1], [0, -1, 1], [-6, -8, -2], [2, 0, -2], [5, -6, 1], [4, 5, -7], [-2, 0, -1], [8, 0, 2], [0, 1, 0], [1, 0, 0], [-1, -13, 5]], 'ap': [[0, 1, 0], [-1, 0, 0], [0, 1, -1], [-1, 0, 0], [1, 0, 0], [0, 1, -1], [0, -2, 0], [4, -1, -1], [-2, -2, 0], [4, -1, 1], [-2, 0, 2], [0, 3, 1], [2, 2, 2], [2, -2, 0], [-8, 1, 1], [0, 0, -2], [-8, 1, -3], [6, 0, 0], [4, 1, 1], [4, -4, 0], [8, -1, 1], [4, 4, 0], [-6, 0, 2], [6, 0, 4], [8, 0, 2], [-4, -6, 4], [0, 2, 2], [-4, 1, 1], [-4, 2, -4], [-2, -4, 0], [6, -4, -2], [4, -4, -4], [0, 2, 4], [8, 8, -4], [12, -1, 1], [-6, -4, 2], [-10, -6, 2], [-4, -7, 1], [-2, 2, 4], [-10, -2, -2], [-12, 0, 0], [8, -4, 2], [-2, 4, -2], [4, 0, 6], [2, -4, 0], [-2, 2, -4], [4, 2, 2], [-4, -10, 2], [-8, 2, -2], [0, 0, -2], [10, -4, -4], [8, 7, -1], [0, 1, 3], [0, -5, -1], [-4, 5, 3], [-8, 1, 1], [-10, -4, 4], [0, -1, -1], [-10, 2, 2], [-4, 7, -3], [4, 3, -5], [10, 2, 6], [4, 4, 4], [8, -8, 0], [-4, -6, 0], [4, 12, -2], [8, 8, -4], [4, -8, -2], [4, 0, 8], [-8, -7, -1], [-4, -5, -7], [4, 0, 4], [-4, 2, -2], [12, -2, 0], [4, 3, -5], [0, -4, 4], [10, -10, 2], [4, -6, -4], [16, 4, -2], [-6, 12, 4], [-4, -9, 7], [-20, -3, -1], [-8, 5, -3], [10, 6, -2], [0, -5, 3], [0, -8, 4], [6, 14, -6], [0, 0, 2], [2, 10, -2], [0, 13, -3], [-20, 5, 5], [14, 0, -6], [24, -4, -4], [20, 5, -3], [-4, 3, -5], [-2, -6, -4], [-18, 0, 0], [8, 1, -5], [8, 9, -3], [2, -10, 2], [20, 0, 0], [-8, 3, 1], [-2, -6, 8], [-14, -4, 4], [0, -4, -8], [0, -6, 4], [-8, 3, -1], [-2, -14, -2], [4, 12, 0], [-4, 3, 1], [4, -5, 7], [-12, 2, -4], [22, -4, 0], [18, 8, 2], [4, 0, 4], [12, 6, 4], [-10, -6, -8], [-4, 3, -9], [18, -14, -2], [4, 9, -7], [4, 0, 10], [-20, 4, -14], [18, -12, 0], [-14, 4, -10], [-16, -6, 6], [-10, 0, 8], [-4, -15, 3], [0, -9, -1], [-18, -6, 4], [-18, 12, 4], [30, 2, 0], [-16, -7, 1], [-20, 9, -3], [-8, 7, -3], [14, -2, 2], [16, 13, -1], [-36, -3, -1], [36, 1, 1], [0, -1, -11], [-4, 7, -3], [24, 1, 5], [12, -11, -9], [28, 5, 1], [16, 1, -3], [-6, 10, -2], [-8, -3, 5], [-14, -8, 4], [-22, 12, 4], [4, -4, -4], [-10, -2, 0], [-34, -2, -2], [12, -7, 7], [0, 7, -5], [30, -4, -2], [20, 16, -8], [-8, 14, -10], [-26, 6, 0], [16, 11, -11], [10, 4, -4], [-26, 2, 2], [4, -10, 6], [-16, -1, 1], [8, 2, 2], [8, 15, -5], [16, 8, 2], [12, 12, 0], [-4, 17, 5], [6, -4, -12]], 'char_orbit_index': 1, 'field_poly': [-1, -6, 0, 1], 'hecke_orbit_code': 13510798915666151, '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, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '231.2.a.d', 'level': 231, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 2, 1], [[[3, -1], [7, 1], [11, 1]], 3, 1], [[[3, 1], [7, -1], [11, 1]], 3, 2], [[[3, 1], [7, 1], [11, -1]], 3, 1]], 'ALdims': [0, 3, 3, 0, 3, 0, 0, 2], 'Nk2': 924, 'analytic_conductor': 1.8445442866915769, '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': [231, 1, [155, 199, 211], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 29, 'dim': 11, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554663, 'hecke_orbit_dims': [1, 2, 2, 3, 3], 'label': '231.2.a', 'level': 231, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 11], 'level_radical': 231, 'mf_dim': 36, 'mf_new_dim': 11, 'num_forms': 5, 'plus_dim': 0, 'prim_orbit_index': 1, 'relative_dim': 11, 'sturm_bound': 64, 'trace_bound': 2, 'trace_display': [1, -1, 10, -1], 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mf_twists_nf • Show schema
Hide schema
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id: 186017
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '231.2.a.d', 'target_level': 231, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 186018
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '693.2.a.m', 'target_level': 693, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 186019
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1617.2.a.s', 'target_level': 1617, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 186020
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2541.2.a.bi', 'target_level': 2541, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 186021
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '3696.2.a.bp', 'target_level': 3696, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 186022
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '4851.2.a.bp', 'target_level': 4851, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 186023
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '5775.2.a.bw', 'target_level': 5775, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 186024
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '231.2.a.d', 'source_level': 231, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '7623.2.a.cb', 'target_level': 7623, 'twist_class_label': '231.2.a.d', 'twist_class_level': 231, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 550125
{'charpoly_factorization': [[[-1, -6, 0, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 2}
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id: 550126
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 13510798915666151, 'p': 3}
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id: 550127
{'charpoly_factorization': [[[2, -15, 0, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 5}
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id: 550128
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 13510798915666151, 'p': 7}
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id: 550129
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 13510798915666151, 'p': 11}
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id: 550130
{'charpoly_factorization': [[[2, -15, 0, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 13}
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id: 550131
{'charpoly_factorization': [[[8, -24, 0, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 17}
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id: 550132
{'charpoly_factorization': [[[36, 27, -12, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 19}
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id: 550133
{'charpoly_factorization': [[[-32, -12, 6, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 23}
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id: 550134
{'charpoly_factorization': [[[-6, 33, -12, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 29}
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id: 550135
{'charpoly_factorization': [[[32, -36, 6, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 31}
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id: 550136
{'charpoly_factorization': [[[-246, -75, 0, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 37}
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id: 550137
{'charpoly_factorization': [[[32, -72, -6, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 41}
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id: 550138
{'charpoly_factorization': [[[48, -12, -6, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 43}
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id: 550139
{'charpoly_factorization': [[[328, 171, 24, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 47}
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id: 550140
{'charpoly_factorization': [[[-120, -48, 0, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 53}
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id: 550141
{'charpoly_factorization': [[[-716, 87, 24, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 59}
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id: 550142
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 13510798915666151, 'p': 61}
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id: 550143
{'charpoly_factorization': [[[4, 27, -12, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 67}
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id: 550144
{'charpoly_factorization': [[[384, -48, -12, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 71}
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id: 550145
{'charpoly_factorization': [[[-394, 177, -24, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 73}
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id: 550146
{'charpoly_factorization': [[[256, -48, -12, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 79}
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id: 550147
{'charpoly_factorization': [[[48, 60, 18, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 83}
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id: 550148
{'charpoly_factorization': [[[1896, -84, -18, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 89}
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id: 550149
{'charpoly_factorization': [[[-8, 144, -24, 1], 1]], 'hecke_orbit_code': 13510798915666151, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '231.2.a.d', 'level': 231, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 125686000
{'hecke_orbit_code': 13510798915666151, 'n': 1, 'trace_an': 3}
-
id: 125686001
{'hecke_orbit_code': 13510798915666151, 'n': 2, 'trace_an': 0}
-
id: 125686002
{'hecke_orbit_code': 13510798915666151, 'n': 3, 'trace_an': -3}
-
id: 125686003
{'hecke_orbit_code': 13510798915666151, 'n': 4, 'trace_an': 6}
-
id: 125686004
{'hecke_orbit_code': 13510798915666151, 'n': 5, 'trace_an': 0}
-
id: 125686005
{'hecke_orbit_code': 13510798915666151, 'n': 6, 'trace_an': 0}
-
id: 125686006
{'hecke_orbit_code': 13510798915666151, 'n': 7, 'trace_an': -3}
-
id: 125686007
{'hecke_orbit_code': 13510798915666151, 'n': 8, 'trace_an': 3}
-
id: 125686008
{'hecke_orbit_code': 13510798915666151, 'n': 9, 'trace_an': 3}
-
id: 125686009
{'hecke_orbit_code': 13510798915666151, 'n': 10, 'trace_an': 9}
-
id: 125686010
{'hecke_orbit_code': 13510798915666151, 'n': 11, 'trace_an': 3}
-
id: 125686011
{'hecke_orbit_code': 13510798915666151, 'n': 12, 'trace_an': -6}
-
id: 125686012
{'hecke_orbit_code': 13510798915666151, 'n': 13, 'trace_an': 0}
-
id: 125686013
{'hecke_orbit_code': 13510798915666151, 'n': 14, 'trace_an': 0}
-
id: 125686014
{'hecke_orbit_code': 13510798915666151, 'n': 15, 'trace_an': 0}
-
id: 125686015
{'hecke_orbit_code': 13510798915666151, 'n': 16, 'trace_an': 12}
-
id: 125686016
{'hecke_orbit_code': 13510798915666151, 'n': 17, 'trace_an': 0}
-
id: 125686017
{'hecke_orbit_code': 13510798915666151, 'n': 18, 'trace_an': 0}
-
id: 125686018
{'hecke_orbit_code': 13510798915666151, 'n': 19, 'trace_an': 12}
-
id: 125686019
{'hecke_orbit_code': 13510798915666151, 'n': 20, 'trace_an': -21}
-
id: 125686020
{'hecke_orbit_code': 13510798915666151, 'n': 21, 'trace_an': 3}
-
id: 125686021
{'hecke_orbit_code': 13510798915666151, 'n': 22, 'trace_an': 0}
-
id: 125686022
{'hecke_orbit_code': 13510798915666151, 'n': 23, 'trace_an': -6}
-
id: 125686023
{'hecke_orbit_code': 13510798915666151, 'n': 24, 'trace_an': -3}
-
id: 125686024
{'hecke_orbit_code': 13510798915666151, 'n': 25, 'trace_an': 15}
-
id: 125686025
{'hecke_orbit_code': 13510798915666151, 'n': 26, 'trace_an': 9}
-
id: 125686026
{'hecke_orbit_code': 13510798915666151, 'n': 27, 'trace_an': -3}
-
id: 125686027
{'hecke_orbit_code': 13510798915666151, 'n': 28, 'trace_an': -6}
-
id: 125686028
{'hecke_orbit_code': 13510798915666151, 'n': 29, 'trace_an': 12}
-
id: 125686029
{'hecke_orbit_code': 13510798915666151, 'n': 30, 'trace_an': -9}
-
id: 125686030
{'hecke_orbit_code': 13510798915666151, 'n': 31, 'trace_an': -6}
-
id: 125686031
{'hecke_orbit_code': 13510798915666151, 'n': 32, 'trace_an': 6}
-
id: 125686032
{'hecke_orbit_code': 13510798915666151, 'n': 33, 'trace_an': -3}
-
id: 125686033
{'hecke_orbit_code': 13510798915666151, 'n': 34, 'trace_an': -24}
-
id: 125686034
{'hecke_orbit_code': 13510798915666151, 'n': 35, 'trace_an': 0}
-
id: 125686035
{'hecke_orbit_code': 13510798915666151, 'n': 36, 'trace_an': 6}
-
id: 125686036
{'hecke_orbit_code': 13510798915666151, 'n': 37, 'trace_an': 0}
-
id: 125686037
{'hecke_orbit_code': 13510798915666151, 'n': 38, 'trace_an': -15}
-
id: 125686038
{'hecke_orbit_code': 13510798915666151, 'n': 39, 'trace_an': 0}
-
id: 125686039
{'hecke_orbit_code': 13510798915666151, 'n': 40, 'trace_an': 18}
-
id: 125686040
{'hecke_orbit_code': 13510798915666151, 'n': 41, 'trace_an': 6}
-
id: 125686041
{'hecke_orbit_code': 13510798915666151, 'n': 42, 'trace_an': 0}
-
id: 125686042
{'hecke_orbit_code': 13510798915666151, 'n': 43, 'trace_an': 6}
-
id: 125686043
{'hecke_orbit_code': 13510798915666151, 'n': 44, 'trace_an': 6}
-
id: 125686044
{'hecke_orbit_code': 13510798915666151, 'n': 45, 'trace_an': 0}
-
id: 125686045
{'hecke_orbit_code': 13510798915666151, 'n': 46, 'trace_an': -24}
-
id: 125686046
{'hecke_orbit_code': 13510798915666151, 'n': 47, 'trace_an': -24}
-
id: 125686047
{'hecke_orbit_code': 13510798915666151, 'n': 48, 'trace_an': -12}
-
id: 125686048
{'hecke_orbit_code': 13510798915666151, 'n': 49, 'trace_an': 3}
-
id: 125686049
{'hecke_orbit_code': 13510798915666151, 'n': 50, 'trace_an': -39}
-
id: 125686050
{'hecke_orbit_code': 13510798915666151, 'n': 51, 'trace_an': 0}
-
id: 125686051
{'hecke_orbit_code': 13510798915666151, 'n': 52, 'trace_an': -21}
-
id: 125686052
{'hecke_orbit_code': 13510798915666151, 'n': 53, 'trace_an': 0}
-
id: 125686053
{'hecke_orbit_code': 13510798915666151, 'n': 54, 'trace_an': 0}
-
id: 125686054
{'hecke_orbit_code': 13510798915666151, 'n': 55, 'trace_an': 0}
-
id: 125686055
{'hecke_orbit_code': 13510798915666151, 'n': 56, 'trace_an': -3}
-
id: 125686056
{'hecke_orbit_code': 13510798915666151, 'n': 57, 'trace_an': -12}
-
id: 125686057
{'hecke_orbit_code': 13510798915666151, 'n': 58, 'trace_an': -9}
-
id: 125686058
{'hecke_orbit_code': 13510798915666151, 'n': 59, 'trace_an': -24}
-
id: 125686059
{'hecke_orbit_code': 13510798915666151, 'n': 60, 'trace_an': 21}
-
id: 125686060
{'hecke_orbit_code': 13510798915666151, 'n': 61, 'trace_an': 18}
-
id: 125686061
{'hecke_orbit_code': 13510798915666151, 'n': 62, 'trace_an': 6}
-
id: 125686062
{'hecke_orbit_code': 13510798915666151, 'n': 63, 'trace_an': -3}
-
id: 125686063
{'hecke_orbit_code': 13510798915666151, 'n': 64, 'trace_an': -21}
-
id: 125686064
{'hecke_orbit_code': 13510798915666151, 'n': 65, 'trace_an': 30}
-
id: 125686065
{'hecke_orbit_code': 13510798915666151, 'n': 66, 'trace_an': 0}
-
id: 125686066
{'hecke_orbit_code': 13510798915666151, 'n': 67, 'trace_an': 12}
-
id: 125686067
{'hecke_orbit_code': 13510798915666151, 'n': 68, 'trace_an': -6}
-
id: 125686068
{'hecke_orbit_code': 13510798915666151, 'n': 69, 'trace_an': 6}
-
id: 125686069
{'hecke_orbit_code': 13510798915666151, 'n': 70, 'trace_an': -9}
-
id: 125686070
{'hecke_orbit_code': 13510798915666151, 'n': 71, 'trace_an': 12}
-
id: 125686071
{'hecke_orbit_code': 13510798915666151, 'n': 72, 'trace_an': 3}
-
id: 125686072
{'hecke_orbit_code': 13510798915666151, 'n': 73, 'trace_an': 24}
-
id: 125686073
{'hecke_orbit_code': 13510798915666151, 'n': 74, 'trace_an': 39}
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id: 125686074
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