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mf_newforms • Show schema
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{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [13, 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': [819, 1, [92, 703, 379], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[2, [-2, 0, 1]], [5, [7, 6, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425148723, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '819.2.a.h', 'level': 819, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '91.2.a.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+(-3+\\beta )q^{5}+q^{7}-2\\beta q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '819.2.a', 'trace_display': [0, 0, -6, 2], 'trace_hash': 2003839986195641387, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.618', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.087', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, 'traces': [2, 0, 0, 0, -6, 0, 2, 0, 0, 4, 0, 0, -2, 0, 0, -8, 0, 0, -6, 0, 0, -12, 6, 0, 12, 0, 0, 0, -6, 0, -2, 0, 0, -4, -6, 0, -4, -12, 0, -8, -12, 0, -10, 0, 0, 8, -6, 0, 2, -24, 0, 0, 6, 0, -12, 0, 0, 8, -12, 0, 12, 12, 0, 16, 6, 0, -12, 0, 0, 4, 12, 0, -10, 12, 0, 0, 0, 0, 14, 24, 0, -8, -18, 0, -4, 0, 0, 24, -6, 0, -2, 0, 0, 4, 6, 0, -2, 0, 0, 0, -12, 0, -16, 0, 0, -8, 12, 0, 8, 36, 0, -8, 18, 0, -10, 0, 0, 16, 0, 0, 14, 0, 0, 0, -30, 0, 4, 0, 0, -4, 0, 0, -6, -24, 0, 8, 12, 0, 4, 0, 0, 20, 0, 0, 26, -12, 0, 0, -24, 0, -28, 24, 0, -12, 18, 0, -16, 24, 0, 0, 6, 0, 0, 0, 0, -12, 6, 0, 2, 12, 0, 0, -24, 0, 12, 0, 0, 4, 18, 0, -12, 0, 0, -16, 24, 0, 12, 0, 0, 24, -36, 0, -12, 36, 0, 0, -36, 0, -16, 48, 0, -12, -6, 0, 28, 0, 0, 8, 36, 0, 2, 0, 0, 40, 30, 0, -2, 36, 0, 0, 0, 0, 10, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [0, 0], [-3, 1], [0, 0], [1, 0], [0, -2], [0, 0], [2, -3], [0, -3], [0, 0], [-1, 0], [0, 1], [0, 0], [-4, 0], [0, -1], [0, 0], [-3, -3], [0, 0], [0, 0], [-6, 0], [3, 2], [0, 0], [6, -6], [0, -1], [0, 0], [0, 0], [-3, 2], [0, 0], [-1, 3], [0, 0], [0, 0], [-2, 0], [-3, 1], [0, 0], [-2, 3], [-6, -3], [0, 0], [-4, 6], [-6, -2], [0, 0], [-5, 0], [0, 0], [0, 0], [4, 3], [-3, 1], [0, 0], [1, 0], [-12, 6], [0, 0], [0, 0], [3, -2], [0, 0], [-6, 9], [0, -2], [0, 0], [4, -3], [-6, 4], [0, 0], [6, 0], [6, -1], [0, 0], [8, 0], [3, -1], [0, 0], [-6, -6], [0, 0], [0, 0], [2, -3], [6, 5], [0, 0], [-5, -3], [6, -2], [0, 0], [0, 0], [0, -3], [0, 0], [7, 6], [12, -4], [0, 0], [-4, -6], [-9, -3], [0, 0], [-2, 3], [0, -5], [0, 0], [12, 0], [-3, 1], [0, 0], [-1, 0], [0, 0], [0, 0], [2, -3], [3, 6], [0, 0], [-1, 9], [0, 1], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 0], [-3, 1], [1, 0], [0, -3], [-1, 0], [0, -1], [-3, -3], [3, 2], [-3, 2], [-1, 3], [-2, 3], [-6, -2], [-5, 0], [-3, 1], [3, -2], [-6, 4], [6, 0], [-6, -6], [6, 5], [-5, -3], [7, 6], [-9, -3], [-3, 1], [-1, 9], [-6, -3], [-8, 0], [6, 10], [4, 9], [9, -8], [2, 0], [0, 2], [6, -1], [2, 3], [-12, -3], [-14, 3], [-8, 3], [0, 6], [3, -13], [-12, -9], [9, 0], [-6, -9], [-18, 2], [-6, -6], [-18, 4], [-8, 3], [1, -12], [5, -3], [-24, -2], [4, 18], [9, 4], [-12, 6], [1, -15], [-18, 1], [18, 1], [15, -12], [-12, 2], [20, 0], [1, -6], [0, -11], [0, -6], [3, -13], [9, 3], [6, 1], [2, 15], [0, 8], [-18, 0], [-33, 0], [0, 4], [-13, -9], [0, 6], [18, 7], [6, 3], [0, 6], [28, -3], [12, 6], [-24, -4], [3, -15], [-12, 4], [-1, 3], [-6, 19], [-6, 9], [18, -4], [-8, -12], [-26, -6], [15, -8], [-24, 2], [14, -15], [-6, -2], [0, -3], [-6, 7], [-15, 15], [14, -18], [6, -16], [-26, 9], [6, 16], [15, -7], [12, -4], [14, 12], [14, -15], [27, 6], [-12, 0], [12, -4], [9, -10], [17, 18], [10, -12], [-9, 11], [-15, 11], [9, 14], [-22, -12], [-14, -9], [-16, 0], [-18, 4], [-16, 12], [2, 0], [-21, 4], [-4, -6], [18, -23], [-6, -8], [21, -4], [-15, 3], [7, -24], [6, 25], [24, -2], [-1, 21], [-9, 14], [-12, 9], [6, -3], [42, 0], [13, -21], [12, -21], [24, 4], [7, 6], [13, 6], [-39, 3], [31, 15], [30, 2], [-29, 3], [30, -4], [-9, -6], [12, -24], [6, 10], [2, 6], [24, 18], [38, 9], [36, -2], [27, 9], [18, 26], [14, 12], [0, -20], [-6, -3], [18, -22], [2, 0], [12, -22], [-15, 12], [27, 12], [24, 0], [-27, -7], [24, 15], [-33, -5], [-18, 2], [3, -10], [-12, 21], [-18, -18], [0, -17], [-9, 17], [18, -12], [-20, 6]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 31525197425148723, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '819.2.a.h', 'level': 819, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 6, 4, 0, 5, 3, 4, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [9, 10, 10, 12, 11, 7, 8, 8], 'Nk2': 3276, 'analytic_conductor': 6.539747925542864, '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': [819, 1, [92, 703, 379], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 30, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33555251, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 6], 'label': '819.2.a', 'level': 819, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 120, 'mf_new_dim': 30, 'num_forms': 13, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [0, 0, 4, -2], 'traces': [30, 0, 0, 36, 4, 0, -2, 0, 0, 16, 8, 0, 0, -2, 0, 56, 8, 0, 0, 44, 0, 0, -6, 0, 24, 0, 0, -6, -14, 0, 12, 20, 0, -20, -2, 0, -12, -4, 0, -4, 16, 0, 2, -20, 0, -32, -8, 0, 30, -24, 0, 8, 26, 0, 4, -18, 0, -20, 20, 0, 68, 16, 0, 40, 6, 0, -20, -28, 0, 4, 8, 0, 0, 0, 0, -28, -8, 0, 34, 88, 0, -48, -20, 0, 76, -20, 0, -24, 0, 0, -4, 4, 0, 12, -2, 0, -24, 0, 0, -16, -8, 0, -16, -12, 0, 40, 0, 0, 72, 12, 0, -14, -18, 0, -48, -4, 0, -68, 8, 0, 14, -88, 0, 20, 0, 0, 32, 68, 0, -20, -16, 0, 30, -16, 0, -64, 44, 0, 0, 12, 0, -8, -4, 0, 28, 44, 0, -124, 12, 0, -52, -52, 0, -48, -58, 0, 60, -100, 0, -152, 8, 0, -88, -24, 0, -136, -56, 0, 30, -104, 0, -108, 0, 0, -14, -32, 0, -44, -54, 0, 68, 6, 0, -44, 68, 0, -76, 4, 0, -172, -40, 0, -84, 44, 0, 36, -24, 0, -76, -12, 0, -124, 12, 0, 68, -80, 0, 16, 112, 0, -6, -36, 0, -52, -60, 0, 2, 152, 0, -60, 8, 0, 68, -38, 0, 112, -64, 0, 20, 20, 0, -68, 10, 0, -62, 24, 0, 16, 76, 0, 68, 76, 0, 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mf_twists_nf • Show schema
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id: 516693
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '91.2.a.c', 'target_level': 91, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 516694
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.a.g', 'target_level': 637, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 516695
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '637.2.e.f', 'target_level': 637, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 516696
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.e.g', 'target_level': 637, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 516697
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '819.2.a.h', 'target_level': 819, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 516698
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1183.2.a.d', 'target_level': 1183, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 516699
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1183.2.c.d', 'target_level': 1183, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 516700
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1456.2.a.q', 'target_level': 1456, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 516701
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2275.2.a.j', 'target_level': 2275, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 516702
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '5733.2.a.s', 'target_level': 5733, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 516703
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '5824.2.a.bk', 'target_level': 5824, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 516704
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '5824.2.a.bl', 'target_level': 5824, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 516705
{'conductor': 273, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '819.2.a.h', 'source_level': 819, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '8281.2.a.v', 'target_level': 8281, 'twist_class_label': '91.2.a.c', 'twist_class_level': 91, 'twisting_char_label': '273.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1367500
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 2}
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id: 1367501
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197425148723, 'p': 3}
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id: 1367502
{'charpoly_factorization': [[[7, 6, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 5}
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id: 1367503
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525197425148723, 'p': 7}
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id: 1367504
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 11}
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id: 1367505
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425148723, 'p': 13}
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id: 1367506
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 17}
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id: 1367507
{'charpoly_factorization': [[[-9, 6, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 19}
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id: 1367508
{'charpoly_factorization': [[[1, -6, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 23}
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id: 1367509
{'charpoly_factorization': [[[1, 6, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 29}
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id: 1367510
{'charpoly_factorization': [[[-17, 2, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 31}
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id: 1367511
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 37}
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id: 1367512
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 41}
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id: 1367513
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 31525197425148723, 'p': 43}
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id: 1367514
{'charpoly_factorization': [[[7, 6, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 47}
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id: 1367515
{'charpoly_factorization': [[[1, -6, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 53}
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id: 1367516
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 59}
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id: 1367517
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525197425148723, 'p': 61}
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id: 1367518
{'charpoly_factorization': [[[-36, 12, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 67}
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id: 1367519
{'charpoly_factorization': [[[-14, -12, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 71}
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id: 1367520
{'charpoly_factorization': [[[7, 10, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 73}
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id: 1367521
{'charpoly_factorization': [[[-23, -14, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 79}
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id: 1367522
{'charpoly_factorization': [[[63, 18, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 83}
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id: 1367523
{'charpoly_factorization': [[[7, 6, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 89}
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id: 1367524
{'charpoly_factorization': [[[-161, 2, 1], 1]], 'hecke_orbit_code': 31525197425148723, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '819.2.a.h', 'level': 819, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47829565
{'hecke_orbit_code': 31525197425148723, 'n': 1, 'trace_an': 2}
-
id: 47829566
{'hecke_orbit_code': 31525197425148723, 'n': 2, 'trace_an': 0}
-
id: 47829567
{'hecke_orbit_code': 31525197425148723, 'n': 3, 'trace_an': 0}
-
id: 47829568
{'hecke_orbit_code': 31525197425148723, 'n': 4, 'trace_an': 0}
-
id: 47829569
{'hecke_orbit_code': 31525197425148723, 'n': 5, 'trace_an': -6}
-
id: 47829570
{'hecke_orbit_code': 31525197425148723, 'n': 6, 'trace_an': 0}
-
id: 47829571
{'hecke_orbit_code': 31525197425148723, 'n': 7, 'trace_an': 2}
-
id: 47829572
{'hecke_orbit_code': 31525197425148723, 'n': 8, 'trace_an': 0}
-
id: 47829573
{'hecke_orbit_code': 31525197425148723, 'n': 9, 'trace_an': 0}
-
id: 47829574
{'hecke_orbit_code': 31525197425148723, 'n': 10, 'trace_an': 4}
-
id: 47829575
{'hecke_orbit_code': 31525197425148723, 'n': 11, 'trace_an': 0}
-
id: 47829576
{'hecke_orbit_code': 31525197425148723, 'n': 12, 'trace_an': 0}
-
id: 47829577
{'hecke_orbit_code': 31525197425148723, 'n': 13, 'trace_an': -2}
-
id: 47829578
{'hecke_orbit_code': 31525197425148723, 'n': 14, 'trace_an': 0}
-
id: 47829579
{'hecke_orbit_code': 31525197425148723, 'n': 15, 'trace_an': 0}
-
id: 47829580
{'hecke_orbit_code': 31525197425148723, 'n': 16, 'trace_an': -8}
-
id: 47829581
{'hecke_orbit_code': 31525197425148723, 'n': 17, 'trace_an': 0}
-
id: 47829582
{'hecke_orbit_code': 31525197425148723, 'n': 18, 'trace_an': 0}
-
id: 47829583
{'hecke_orbit_code': 31525197425148723, 'n': 19, 'trace_an': -6}
-
id: 47829584
{'hecke_orbit_code': 31525197425148723, 'n': 20, 'trace_an': 0}
-
id: 47829585
{'hecke_orbit_code': 31525197425148723, 'n': 21, 'trace_an': 0}
-
id: 47829586
{'hecke_orbit_code': 31525197425148723, 'n': 22, 'trace_an': -12}
-
id: 47829587
{'hecke_orbit_code': 31525197425148723, 'n': 23, 'trace_an': 6}
-
id: 47829588
{'hecke_orbit_code': 31525197425148723, 'n': 24, 'trace_an': 0}
-
id: 47829589
{'hecke_orbit_code': 31525197425148723, 'n': 25, 'trace_an': 12}
-
id: 47829590
{'hecke_orbit_code': 31525197425148723, 'n': 26, 'trace_an': 0}
-
id: 47829591
{'hecke_orbit_code': 31525197425148723, 'n': 27, 'trace_an': 0}
-
id: 47829592
{'hecke_orbit_code': 31525197425148723, 'n': 28, 'trace_an': 0}
-
id: 47829593
{'hecke_orbit_code': 31525197425148723, 'n': 29, 'trace_an': -6}
-
id: 47829594
{'hecke_orbit_code': 31525197425148723, 'n': 30, 'trace_an': 0}
-
id: 47829595
{'hecke_orbit_code': 31525197425148723, 'n': 31, 'trace_an': -2}
-
id: 47829596
{'hecke_orbit_code': 31525197425148723, 'n': 32, 'trace_an': 0}
-
id: 47829597
{'hecke_orbit_code': 31525197425148723, 'n': 33, 'trace_an': 0}
-
id: 47829598
{'hecke_orbit_code': 31525197425148723, 'n': 34, 'trace_an': -4}
-
id: 47829599
{'hecke_orbit_code': 31525197425148723, 'n': 35, 'trace_an': -6}
-
id: 47829600
{'hecke_orbit_code': 31525197425148723, 'n': 36, 'trace_an': 0}
-
id: 47829601
{'hecke_orbit_code': 31525197425148723, 'n': 37, 'trace_an': -4}
-
id: 47829602
{'hecke_orbit_code': 31525197425148723, 'n': 38, 'trace_an': -12}
-
id: 47829603
{'hecke_orbit_code': 31525197425148723, 'n': 39, 'trace_an': 0}
-
id: 47829604
{'hecke_orbit_code': 31525197425148723, 'n': 40, 'trace_an': -8}
-
id: 47829605
{'hecke_orbit_code': 31525197425148723, 'n': 41, 'trace_an': -12}
-
id: 47829606
{'hecke_orbit_code': 31525197425148723, 'n': 42, 'trace_an': 0}
-
id: 47829607
{'hecke_orbit_code': 31525197425148723, 'n': 43, 'trace_an': -10}
-
id: 47829608
{'hecke_orbit_code': 31525197425148723, 'n': 44, 'trace_an': 0}
-
id: 47829609
{'hecke_orbit_code': 31525197425148723, 'n': 45, 'trace_an': 0}
-
id: 47829610
{'hecke_orbit_code': 31525197425148723, 'n': 46, 'trace_an': 8}
-
id: 47829611
{'hecke_orbit_code': 31525197425148723, 'n': 47, 'trace_an': -6}
-
id: 47829612
{'hecke_orbit_code': 31525197425148723, 'n': 48, 'trace_an': 0}
-
id: 47829613
{'hecke_orbit_code': 31525197425148723, 'n': 49, 'trace_an': 2}
-
id: 47829614
{'hecke_orbit_code': 31525197425148723, 'n': 50, 'trace_an': -24}
-
id: 47829615
{'hecke_orbit_code': 31525197425148723, 'n': 51, 'trace_an': 0}
-
id: 47829616
{'hecke_orbit_code': 31525197425148723, 'n': 52, 'trace_an': 0}
-
id: 47829617
{'hecke_orbit_code': 31525197425148723, 'n': 53, 'trace_an': 6}
-
id: 47829618
{'hecke_orbit_code': 31525197425148723, 'n': 54, 'trace_an': 0}
-
id: 47829619
{'hecke_orbit_code': 31525197425148723, 'n': 55, 'trace_an': -12}
-
id: 47829620
{'hecke_orbit_code': 31525197425148723, 'n': 56, 'trace_an': 0}
-
id: 47829621
{'hecke_orbit_code': 31525197425148723, 'n': 57, 'trace_an': 0}
-
id: 47829622
{'hecke_orbit_code': 31525197425148723, 'n': 58, 'trace_an': 8}
-
id: 47829623
{'hecke_orbit_code': 31525197425148723, 'n': 59, 'trace_an': -12}
-
id: 47829624
{'hecke_orbit_code': 31525197425148723, 'n': 60, 'trace_an': 0}
-
id: 47829625
{'hecke_orbit_code': 31525197425148723, 'n': 61, 'trace_an': 12}
-
id: 47829626
{'hecke_orbit_code': 31525197425148723, 'n': 62, 'trace_an': 12}
-
id: 47829627
{'hecke_orbit_code': 31525197425148723, 'n': 63, 'trace_an': 0}
-
id: 47829628
{'hecke_orbit_code': 31525197425148723, 'n': 64, 'trace_an': 16}
-
id: 47829629
{'hecke_orbit_code': 31525197425148723, 'n': 65, 'trace_an': 6}
-
id: 47829630
{'hecke_orbit_code': 31525197425148723, 'n': 66, 'trace_an': 0}
-
id: 47829631
{'hecke_orbit_code': 31525197425148723, 'n': 67, 'trace_an': -12}
-
id: 47829632
{'hecke_orbit_code': 31525197425148723, 'n': 68, 'trace_an': 0}
-
id: 47829633
{'hecke_orbit_code': 31525197425148723, 'n': 69, 'trace_an': 0}
-
id: 47829634
{'hecke_orbit_code': 31525197425148723, 'n': 70, 'trace_an': 4}
-
id: 47829635
{'hecke_orbit_code': 31525197425148723, 'n': 71, 'trace_an': 12}
-
id: 47829636
{'hecke_orbit_code': 31525197425148723, 'n': 72, 'trace_an': 0}
-
id: 47829637
{'hecke_orbit_code': 31525197425148723, 'n': 73, 'trace_an': -10}
-
id: 47829638
{'hecke_orbit_code': 31525197425148723, 'n': 74, 'trace_an': 12}
-
id: 47829639
{'hecke_orbit_code': 31525197425148723, 'n': 75, 'trace_an': 0}
-
id: 47829640
{'hecke_orbit_code': 31525197425148723, 'n': 76, 'trace_an': 0}
-
id: 47829641
{'hecke_orbit_code': 31525197425148723, 'n': 77, 'trace_an': 0}
-
id: 47829642
{'hecke_orbit_code': 31525197425148723, 'n': 78, 'trace_an': 0}
-
id: 47829643
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