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mf_newforms • Show schema
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [400, 2, [351, 101, 177], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336727249296, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '400.2.c.c', 'level': 400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '50.2.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{3}-2 i q^{7}+2 q^{9}+3 q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '400.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2041814849900898072, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.065', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '160.005', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.522', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 6, 0, 0, 0, 0, 0, 0, 0, 10, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -12, 0, -24, 0, 0, 0, 0, 0, 0, 0, -20, 0, 2, 0, 0, 0, 0, 0, 0, 0, -30, 0, 16, 0, 0, 0, 0, 0, 0, 0, 12, 0, -36, 0, 0, 0, 0, 0, 0, 0, 20, 0, -4, 0, 0, 0, 0, 0, 0, 0, -12, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, 0, -24, 0, 0, 0, 0, 0, 0, 0, 10, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 24, 0, 0, 0, 0, 0, 0, 0, -6, 0, 20, 0, 0, 0, 0, 0, 0, 0, -30, 0, 4, 0, 0, 0, 0, 0, 0, 0, 20, 0, 36, 0, 0, 0, 0, 0, 0, 0, 40, 0, -26, 0, 0, 0, 0, 0, 0, 0, 30, 0, 26, 0, 0, 0, 0, 0, 0, 0, 22, 0, 24, 0, 0, 0, 0, 0, 0, 0, -40, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 18, 0, -54, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, 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0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -72, 0, -24, 0, 0, 0, 0, 0, 0, 0, -20, 0, 34, 0, 0, 0, 0, 0, 0, 0, -60, 0, 30, 0, 0, 0, 0, 0, 0, 0, 52, 0, 24, 0, 0, 0, 0, 0, 0, 0, 88, 0, -24, 0, 0, 0, 0, 0, 0, 0, -12, 0, -54, 0, 0, 0, 0, 0, 0, 0, 30, 0, 6, 0, 0, 0, 0, 0, 0, 0, -90, 0, 40, 0, 0, 0, 0, 0, 0, 0, 48, 0, 116, 0, 0, 0, 0, 0, 0, 0, -20, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [2, 0], [0, 0], [3, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [5, 0], [0, 0], [2, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-4, 0], [0, 0], [-3, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, -12], [0, 0], [3, 0], [0, 0], [3, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 13], [0, 0], [-6, 0], [0, 0], [-12, 0], [0, 0], [0, -11], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [-10, 0], [0, 0], [1, 0], [0, 0], [0, -9], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-15, 0], [0, 0], [8, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [6, 0], [0, 0]], 'ap': [[0, 0], [0, 1], [0, 0], [0, -2], [3, 0], [0, 4], [0, -3], [5, 0], [0, 6], [0, 0], [-2, 0], [0, 2], [-3, 0], [0, -4], [0, -12], [0, -6], [0, 0], [2, 0], [0, 13], [-12, 0], [0, -11], [-10, 0], [0, -9], [-15, 0], [0, 2], [-18, 0], [0, -4], [0, 3], [10, 0], [0, 9], [0, -2], [-12, 0], [0, -3], [5, 0], [0, 0], [-2, 0], [0, 2], [0, 11], [0, -12], [0, 24], [-15, 0], [2, 0], [18, 0], [0, 19], [0, -18], [20, 0], [13, 0], [0, -4], [0, -12], [-20, 0], [0, -6], [0, 0], [17, 0], [-27, 0], [0, -18], [0, 6], [0, 0], [-2, 0], [0, 32], [-18, 0], [0, 11], [0, -6], [0, -17], [18, 0], [0, -26], [0, 12], [-17, 0], [0, -13], [0, 3], [10, 0], [0, -6], [30, 0], [0, 28], [0, -26], [-25, 0], [0, 6], [-30, 0], [0, -28], [-3, 0], [-5, 0], [-15, 0], [-28, 0], [18, 0], [0, 19], [-40, 0], [0, -9], [15, 0], [0, 17], [12, 0], [0, -4], [0, -12], [30, 0], [0, -2], [-12, 0], [20, 0], [0, 36], [30, 0], [-3, 0], [0, 41], [32, 0], [0, -17], [0, 12], [0, -24], [15, 0], [28, 0], [0, -13], [0, 33], [0, 9], [30, 0], [-13, 0], [0, -32], [0, 34], [0, -18], [20, 0], [-2, 0], [42, 0], [0, -4], [0, -12], [0, -6], [15, 0], [32, 0], [0, -26], [0, -48], [0, -39], [-17, 0], [12, 0], [-20, 0], [-30, 0], [0, -32], [0, 4], [20, 0], [0, 6], [-32, 0], [0, 32], [-3, 0], [-5, 0], [0, 24], [0, 28], [0, 42], [30, 0], [28, 0], [42, 0], [0, -4], [0, 33], [-20, 0], [0, 0], [0, -26], [0, -3], [5, 0], [0, -24], [0, -28], [-18, 0], [0, 41], [0, -12], [0, 28], [-12, 0], [-10, 0], [-30, 0], [0, -13], [12, 0], [0, 48], [0, 39], [0, -32], [3, 0], [0, 57], [0, 6], [58, 0], [0, -28]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 9007336727249296, 'hecke_ring_character_values': [[351, [1, 0]], [101, [1, 0]], [177, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '400.2.c.c', 'level': 400, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [400, 2, [351, 101, 177], [2, 2, 1]], 'conrey_index': 49, 'cusp_dim': 42, 'dim': 8, 'eis_dim': 36, 'eis_new_dim': 2, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137472508304, 'hecke_orbit_dims': [2, 2, 2, 2], 'label': '400.2.c', 'level': 400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 78, 'mf_new_dim': 10, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 8, 'sturm_bound': 120, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 12, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 32, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 12, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, -36, 0, 0, 0, 0, 0, 0, 0, -8, 0, -24, 0, 0, 0, 0, 0, 0, 0, 44, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 40, 0, 0, 0, 0, 0, 0, 0, -52, 0, -32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, -28, 0, 0, 0, 0, 0, 0, 0, -4, 0, 68, 0, 0, 0, 0, 0, 0, 0, -4, 0, 32, 0, 0, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -36, 0, -60, 0, 0, 0, 0, 0, 0, 0, -56, 0, -72, 0, 0, 0, 0, 0, 0, 0, -32, 0, -80, 0, 0, 0, 0, 0, 0, 0, 152, 0, -8, 0, 0, 0, 0, 0, 0, 0, -12, 0, -80, 0, 0, 0, 0, 0, 0, 0, -56, 0, 24, 0, 0, 0, 0, 0, 0, 0, 88, 0, -80, 0, 0, 0, 0, 0, 0, 0, -32, 0, 108, 0, 0, 0, 0, 0, 0, 0, -8, 0, 28, 0, 0, 0, 0, 0, 0, 0, 60, 0, -56, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 24, 0, -36, 0, 0, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, -156, 0, 32, 0, 0, 0, 0, 0, 0, 0, -120, 0, 112, 0, 0, 0, 0, 0, 0, 0, 40, 0, 12, 0, 0, 0, 0, 0, 0, 0, 60, 0, 156, 0, 0, 0, 0, 0, 0, 0, 108, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -48, 0, -84, 0, 0, 0, 0, 0, 0, 0, 60, 0, 36, 0, 0, 0, 0, 0, 0, 0, -108, 0, 72, 0, 0, 0, 0, 0, 0, 0, 112, 0, -176, 0, 0, 0, 0, 0, 0, 0, 88, 0, -80, 0, 0, 0, 0, 0, 0, 0, -20, 0, -168, 0, 0, 0, 0, 0, 0, 0, -32, 0, 24, 0, 0, 0, 0, 0, 0, 0, -16, 0, -112, 0, 0, 0, 0, 0, 0, 0, -72, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 84, 0, 24, 0, 0, 0, 0, 0, 0, 0, -128, 0, 80, 0, 0, 0, 0, 0, 0, 0, 56, 0, -12, 0, 0, 0, 0, 0, 0, 0, -20, 0, 72, 0, 0, 0, 0, 0, 0, 0, -76, 0, 64, 0, 0, 0, 0, 0, 0, 0, -8, 0, 96, 0, 0, 0, 0, 0, 0, 0, 72, 0, 60, 0, 0, 0, 0, 0, 0, 0, -48, 0, 104, 0, 0, 0, 0, 0, 0, 0, 160, 0, 24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 72, 0, 0, 0, 0, 0, 0, 0, 16, 0, 80, 0, 0, 0, 0, 0, 0, 0, 36, 0, -16, 0, 0, 0, 0, 0, 0, 0, -56, 0, 8, 0, 0, 0, 0, 0, 0, 0, 72, 0, 120, 0, 0, 0, 0, 0, 0, 0, 48, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 8, 0, -128, 0, 0, 0, 0, 0, 0, 0, -200, 0, 24, 0, 0, 0, 0, 0, 0, 0, 56, 0, -152, 0, 0, 0, 0, 0, 0, 0, 176, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, -56, 0, 0, 0, 0, 0, 0, 0, -24, 0, 60, 0, 0, 0, 0, 0, 0, 0, -108, 0, 192, 0, 0, 0, 0, 0, 0, 0, -132, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 240, 0, 0, 0, 0, 0, 0, 0, 56, 0, -144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 56, 0, 0, 0, 0, 0, 0, 0, 88, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -208, 0, -24, 0, 0, 0, 0, 0, 0, 0, 28, 0, -120, 0, 0, 0, 0, 0, 0, 0, 76, 0, -24, 0, 0, 0, 0, 0, 0, 0, -72, 0, -72, 0, 0, 0, 0, 0, 0, 0, 144, 0, -72, 0, 0, 0, 0, 0, 0, 0, -88, 0, -84, 0, 0, 0, 0, 0, 0, 0, -176, 0, 120, 0, 0, 0, 0, 0, 0, 0, -120, 0, -184, 0, 0, 0, 0, 0, 0, 0, -104, 0, -52, 0, 0, 0, 0, 0, 0, 0, 56, 0, -60, 0, 0, 0, 0, 0, 0, 0, 272, 0, 88, 0, 0, 0, 0, 0, 0, 0, 32, 0, 24, 0, 0, 0, 0, 0, 0, 0, 32, 0, 120, 0, 0, 0, 0, 0, 0, 0, 156, 0, 76, 0, 0, 0, 0, 0, 0, 0, -156, 0, 128, 0, 0, 0, 0, 0, 0, 0, 248, 0, 128, 0, 0, 0, 0, 0, 0, 0, 104, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 296745
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '50.2.a.a', 'target_level': 50, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296746
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '50.2.a.b', 'target_level': 50, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296747
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '50.2.b.a', 'target_level': 50, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296748
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '50.2.b.a', 'target_level': 50, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296749
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '400.2.a.d', 'target_level': 400, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 296750
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '400.2.a.f', 'target_level': 400, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 296751
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.c.c', 'target_level': 400, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 296752
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.c.c', 'target_level': 400, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296753
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.2.a.c', 'target_level': 450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 296754
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.2.a.g', 'target_level': 450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 296755
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.2.c.c', 'target_level': 450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296756
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.2.c.c', 'target_level': 450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 296757
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1600.2.a.i', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 296758
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1600.2.a.j', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 296759
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1600.2.a.p', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 296760
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1600.2.a.q', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 296761
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1600.2.c.h', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296762
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1600.2.c.h', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 296763
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1600.2.c.i', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296764
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1600.2.c.i', 'target_level': 1600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296765
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2450.2.a.g', 'target_level': 2450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 296766
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2450.2.a.bd', 'target_level': 2450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 296767
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2450.2.c.m', 'target_level': 2450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296768
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2450.2.c.m', 'target_level': 2450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 296769
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3600.2.a.l', 'target_level': 3600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296770
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3600.2.a.bc', 'target_level': 3600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 296771
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3600.2.f.f', 'target_level': 3600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 296772
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3600.2.f.f', 'target_level': 3600, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 296773
{'conductor': 220, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6050.2.a.h', 'target_level': 6050, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '220.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 296774
{'conductor': 220, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '6050.2.a.bi', 'target_level': 6050, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '220.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 296775
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8450.2.a.d', 'target_level': 8450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 296776
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '400.2.c.c', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '8450.2.a.v', 'target_level': 8450, 'twist_class_label': '50.2.a.a', 'twist_class_level': 50, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 833000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 2}
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id: 833001
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 3}
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id: 833002
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 5}
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id: 833003
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 7}
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id: 833004
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 11}
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id: 833005
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 13}
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id: 833006
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 17}
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id: 833007
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 19}
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id: 833008
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 23}
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id: 833009
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 29}
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id: 833010
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 31}
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id: 833011
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 37}
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id: 833012
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 41}
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id: 833013
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 43}
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id: 833014
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 47}
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id: 833015
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 53}
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id: 833016
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 59}
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id: 833017
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 61}
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id: 833018
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 67}
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id: 833019
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 71}
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id: 833020
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 73}
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id: 833021
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 79}
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id: 833022
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 83}
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id: 833023
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 9007336727249296, 'p': 89}
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id: 833024
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007336727249296, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '400.2.c.c', 'level': 400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 29865799
{'hecke_orbit_code': 9007336727249296, 'n': 1, 'trace_an': 2}
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id: 29865800
{'hecke_orbit_code': 9007336727249296, 'n': 2, 'trace_an': 0}
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id: 29865801
{'hecke_orbit_code': 9007336727249296, 'n': 3, 'trace_an': 0}
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id: 29865802
{'hecke_orbit_code': 9007336727249296, 'n': 4, 'trace_an': 0}
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id: 29865803
{'hecke_orbit_code': 9007336727249296, 'n': 5, 'trace_an': 0}
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id: 29865804
{'hecke_orbit_code': 9007336727249296, 'n': 6, 'trace_an': 0}
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id: 29865805
{'hecke_orbit_code': 9007336727249296, 'n': 7, 'trace_an': 0}
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id: 29865806
{'hecke_orbit_code': 9007336727249296, 'n': 8, 'trace_an': 0}
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id: 29865807
{'hecke_orbit_code': 9007336727249296, 'n': 9, 'trace_an': 4}
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id: 29865808
{'hecke_orbit_code': 9007336727249296, 'n': 10, 'trace_an': 0}
-
id: 29865809
{'hecke_orbit_code': 9007336727249296, 'n': 11, 'trace_an': 6}
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id: 29865810
{'hecke_orbit_code': 9007336727249296, 'n': 12, 'trace_an': 0}
-
id: 29865811
{'hecke_orbit_code': 9007336727249296, 'n': 13, 'trace_an': 0}
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id: 29865812
{'hecke_orbit_code': 9007336727249296, 'n': 14, 'trace_an': 0}
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id: 29865813
{'hecke_orbit_code': 9007336727249296, 'n': 15, 'trace_an': 0}
-
id: 29865814
{'hecke_orbit_code': 9007336727249296, 'n': 16, 'trace_an': 0}
-
id: 29865815
{'hecke_orbit_code': 9007336727249296, 'n': 17, 'trace_an': 0}
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id: 29865816
{'hecke_orbit_code': 9007336727249296, 'n': 18, 'trace_an': 0}
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id: 29865817
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