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mf_newforms • Show schema
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{'Nk2': 896, 'analytic_conductor': 1.7886490052766806, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [224, 3, [127, 197, 129], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 65, 'conrey_indexes': [65, 193], 'dim': 4, 'field_disc': 7056, 'field_disc_factorization': [[2, 4], [3, 2], [7, 2]], 'field_poly': [49, 0, 7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [49, 0, 7, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044109536, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 28, 7, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '224.2.i.c', 'level': 224, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '224.2.i.c', 'nf_label': '4.0.7056.3', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{3}-3\\beta _{2}q^{5}-\\beta _{3}q^{7}+4\\beta _{2}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '224.2.i', 'trace_display': [0, 0, 6, 0], 'trace_hash': 30253678417657477, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.868', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '86.632', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -3], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [0, 3, 0, 3], [0, 0, 0, 0], [7, 0, 7, 0], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [-4, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, -7, 0], [0, 0, 0, 0], [0, -3, 0, -3], [0, 0, 0, 0], [0, 0, -5, 0], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [12, 0, 12, 0], [0, 0, 0, 0], [0, -1, 0, -1], [0, 0, 0, 0], [7, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, -1], [0, 0, 0, 0], [-7, 0, -7, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, 0, 0], [-21, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, -5, 0], [0, 0, 0, 0], [0, 4, 0, 4], [0, 0, 0, 0], [0, 0, 12, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [-7, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [9, 0, 9, 0], [0, 0, 0, 0], [0, -4, 0, -4], [0, 0, 0, 0], [-7, 0, -7, 0], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [5, 0, 5, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [0, -4, 0, 0], [0, 0, 0, 0], [0, 0, -9, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, -7, 0], [0, 0, 0, 0], [0, 9, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 0, 0], [0, 0, -3, 0], [0, 0, 0, -1], [0, -1, 0, 0], [-4, 0, 0, 0], [-1, 0, -1, 0], [0, 3, 0, 3], [0, 1, 0, 1], [-4, 0, 0, 0], [0, -1, 0, 0], [0, 0, -5, 0], [8, 0, 0, 0], [0, 0, 0, 4], [0, -1, 0, -1], [-7, 0, -7, 0], [0, 1, 0, 0], [0, 0, -5, 0], [0, 1, 0, 0], [0, 0, 0, 0], [9, 0, 9, 0], [0, 1, 0, 1], [0, 0, 0, -4], [0, 0, -9, 0], [-8, 0, 0, 0], [15, 0, 15, 0], [0, 1, 0, 1], [0, -5, 0, -5], [-1, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, -3, 0, -3], [-1, 0, -1, 0], [0, 0, 0, -4], [0, 0, 21, 0], [0, -1, 0, 0], [9, 0, 9, 0], [0, 5, 0, 5], [0, 0, 0, 2], [0, 0, 3, 0], [0, -9, 0, 0], [-6, 0, 0, 0], [0, -9, 0, -9], [7, 0, 7, 0], [12, 0, 0, 0], [0, 7, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, -11, 0], [0, 0, 9, 0], [0, 0, 0, 6], [1, 0, 1, 0], [0, 0, 0, 2], [0, 0, 17, 0], [0, -7, 0, 0], [-15, 0, -15, 0], [0, 1, 0, 1], [25, 0, 25, 0], [-24, 0, 0, 0], [0, 7, 0, 0], [-10, 0, 0, 0], [0, 0, 0, 4], [0, 9, 0, 0], [0, 0, -17, 0], [0, 0, -13, 0], [0, -3, 0, -3], [24, 0, 0, 0], [0, 9, 0, 0], [20, 0, 0, 0], [-9, 0, -9, 0], [0, 7, 0, 7], [0, -7, 0, 0], [0, 0, -21, 0], [0, 0, 0, -2], [0, 7, 0, 7], [15, 0, 15, 0], [0, 0, 5, 0], [0, 0, -23, 0], [23, 0, 23, 0], [0, 0, 0, -12], [-12, 0, 0, 0], [0, -1, 0, 0], [-32, 0, 0, 0], [0, -9, 0, -9], [0, 3, 0, 3], [0, 0, 0, 0], [0, 0, 7, 0], [-20, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, -3], [0, -15, 0, 0], [0, 9, 0, 0], [0, 0, 0, 14], [0, 5, 0, 5], [0, 0, 0, 8], [0, 0, -19, 0], [-23, 0, -23, 0], [0, -13, 0, -13], [0, 0, 21, 0], [0, 0, 0, 10], [39, 0, 39, 0], [0, 1, 0, 0], [0, 0, -33, 0], [0, -1, 0, 0], [41, 0, 41, 0], [0, 0, 0, 12], [0, 0, 33, 0], [0, 9, 0, 0], [8, 0, 0, 0], [0, 15, 0, 15], [-41, 0, -41, 0], [-32, 0, 0, 0], [0, 17, 0, 0], [0, 0, 0, -16], [1, 0, 1, 0], [0, 0, 0, -4], [0, -15, 0, 0], [0, 0, 19, 0], [0, 0, 0, -12], [33, 0, 33, 0], [-24, 0, 0, 0], [0, 0, -3, 0], [0, -9, 0, 0], [0, -11, 0, -11], [-18, 0, 0, 0], [0, 0, -37, 0], [0, -15, 0, -15], [0, 0, 0, 16], [0, 0, 11, 0], [0, -17, 0, 0], [0, 0, 0, -8], [0, 15, 0, 15], [4, 0, 0, 0], [0, 0, 9, 0], [-24, 0, 0, 0], [-33, 0, -33, 0], [0, -7, 0, 0], [-52, 0, 0, 0], [-31, 0, -31, 0], [0, 0, 0, 4], [0, 0, 13, 0], [0, -7, 0, 0], [0, 0, 0, -12], [15, 0, 15, 0], [0, 0, 0, 8], [-36, 0, 0, 0], [-15, 0, -15, 0], [0, 11, 0, 11], [0, -15, 0, -15], [0, 0, 37, 0], [46, 0, 0, 0], [0, 0, 0, -4], [0, -1, 0, -1], [0, -7, 0, 0], [0, 0, 0, -8], [0, 7, 0, 7], [0, 0, -9, 0], [-22, 0, 0, 0], [1, 0, 1, 0], [0, -11, 0, -11], [-16, 0, 0, 0], [0, 0, 0, 16], [0, -3, 0, -3], [-41, 0, -41, 0], [0, -9, 0, 0], [0, 17, 0, 0], [-23, 0, -23, 0]], 'char_orbit_index': 9, 'field_poly': [49, 0, 7, 0, 1], 'hecke_orbit_code': 9007749044109536, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [197, [1, 0, 0, 0]], [129, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 7, 7], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 7, 0], [0, 0, 0, 7]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '224.2.i.c', 'level': 224, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 896, 'analytic_conductor': 1.7886490052766806, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [224, 3, [127, 197, 129], [3, 3, 1]], 'conrey_index': 65, 'cusp_dim': 48, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 549789368544, 'hecke_orbit_dims': [4, 4, 4, 4], 'label': '224.2.i', 'level': 224, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 80, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 64, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, -48, 0, 0, 0, -24, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 40, 0, 0, 0, 8, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, 8, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -72, 0, 0, 0, -64, 0, 0, 0, -48, 0, 0, 0, -56, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -80, 0, 0, 0, -40, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -72, 0, 0, 0, 16, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, 24, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, -24, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, -48, 0, 0, 0, -128, 0, 0, 0, -24, 0, 0, 0, 184, 0, 0, 0, -48, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -24, 0, 0, 0, -120, 0, 0, 0, 24, 0, 0, 0, -208, 0, 0, 0, -208, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 88, 0, 0, 0, 120, 0, 0, 0, 144, 0, 0, 0, 96, 0, 0, 0, 104, 0, 0, 0, 104, 0, 0, 0, 144, 0, 0, 0, 96, 0, 0, 0, -88, 0, 0, 0, 272, 0, 0, 0, -16, 0, 0, 0, 136, 0, 0, 0, -88, 0, 0, 0, 224, 0, 0, 0, -96, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -72, 0, 0, 0, -64, 0, 0, 0, -160, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, -176, 0, 0, 0, 96, 0, 0, 0, -168, 0, 0, 0, 80, 0, 0, 0, -208, 0, 0, 0, 144, 0, 0, 0, -56, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, 40, 0, 0, 0, -32, 0, 0, 0, 144, 0, 0, 0, 136, 0, 0, 0, -8, 0, 0, 0, -240, 0, 0, 0, -176, 0, 0, 0, 40, 0, 0, 0, 32, 0, 0, 0, 112, 0, 0, 0, -104, 0, 0, 0, -24, 0, 0, 0, -64, 0, 0, 0, -40, 0, 0, 0, -160, 0, 0, 0, -24, 0, 0, 0, -16, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -24, 0, 0, 0, -112, 0, 0, 0, 88, 0, 0, 0, -192, 0, 0, 0, 120, 0, 0, 0, 32, 0, 0, 0, -176, 0, 0, 0, 104, 0, 0, 0, 96, 0, 0, 0, 176, 0, 0, 0, 128, 0, 0, 0, 136, 0, 0, 0, -8, 0, 0, 0, 528, 0, 0, 0, -120, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 288, 0, 0, 0, -112, 0, 0, 0, -72, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, -136, 0, 0, 0, -144, 0, 0, 0, -304, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, -64, 0, 0, 0, 176, 0, 0, 0, -112, 0, 0, 0, 72, 0, 0, 0, -320, 0, 0, 0, 56, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, 104, 0, 0, 0, 328, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, -48, 0, 0, 0, 40, 0, 0, 0, -336, 0, 0, 0, 56, 0, 0, 0, 80, 0, 0, 0, -72, 0, 0, 0, 96, 0, 0, 0, -144, 0, 0, 0, 8, 0, 0, 0, 80, 0, 0, 0, -40, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, -224, 0, 0, 0, -264, 0, 0, 0, 136, 0, 0, 0, 208, 0, 0, 0, 72, 0, 0, 0, -152, 0, 0, 0, -8, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 208, 0, 0, 0, -96, 0, 0, 0, 120, 0, 0, 0, 208, 0, 0, 0, 384, 0, 0, 0, 144, 0, 0, 0, -104, 0, 0, 0, 80, 0, 0, 0, 72, 0, 0, 0, 128, 0, 0, 0, -72, 0, 0, 0, 224, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, -224, 0, 0, 0, -144, 0, 0, 0, -88, 0, 0, 0, -96, 0, 0, 0, -80, 0, 0, 0, 64, 0, 0, 0, -104, 0, 0, 0, -336, 0, 0, 0, -168, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 184, 0, 0, 0, -224, 0, 0, 0, -176, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -160, 0, 0, 0, -432, 0, 0, 0, -176, 0, 0, 0, 208, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 24, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, -8, 0, 0, 0, 48, 0, 0, 0, -200, 0, 0, 0, -120, 0, 0, 0, 400, 0, 0, 0, 112, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 120, 0, 0, 0, 192, 0, 0, 0, 224, 0, 0, 0, -24, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 179469
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '224.2.i.c', 'target_level': 224, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 179470
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '224.2.i.c', 'target_level': 224, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179471
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '224.2.i.c', 'target_level': 224, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 179472
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '224.2.i.c', 'target_level': 224, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 179473
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '448.2.i.h', 'target_level': 448, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179474
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '448.2.i.h', 'target_level': 448, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179475
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '448.2.i.h', 'target_level': 448, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 179476
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '448.2.i.h', 'target_level': 448, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 179477
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1568.2.a.m', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 179478
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1568.2.a.m', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 179479
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1568.2.a.t', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179480
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1568.2.a.t', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179481
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1568.2.i.p', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179482
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1568.2.i.p', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179483
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1568.2.i.p', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179484
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1568.2.i.p', 'target_level': 1568, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179485
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2016.2.s.o', 'target_level': 2016, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179486
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2016.2.s.o', 'target_level': 2016, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179487
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2016.2.s.o', 'target_level': 2016, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 179488
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2016.2.s.o', 'target_level': 2016, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 179489
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3136.2.a.bg', 'target_level': 3136, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 179490
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3136.2.a.bg', 'target_level': 3136, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 179491
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '3136.2.a.bv', 'target_level': 3136, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 179492
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '224.2.i.c', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '3136.2.a.bv', 'target_level': 3136, 'twist_class_label': '224.2.i.c', 'twist_class_level': 224, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 534750
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007749044109536, 'p': 2}
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id: 534751
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 3}
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id: 534752
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 5}
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id: 534753
{'charpoly_factorization': [[[-7, 0, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 7}
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id: 534754
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 11}
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id: 534755
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 9007749044109536, 'p': 13}
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id: 534756
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 17}
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id: 534757
{'charpoly_factorization': [[[3969, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 19}
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id: 534758
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 23}
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id: 534759
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 9007749044109536, 'p': 29}
-
id: 534760
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 31}
-
id: 534761
{'charpoly_factorization': [[[25, -5, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 37}
-
id: 534762
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 9007749044109536, 'p': 41}
-
id: 534763
{'charpoly_factorization': [[[-112, 0, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 43}
-
id: 534764
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 47}
-
id: 534765
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 53}
-
id: 534766
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 59}
-
id: 534767
{'charpoly_factorization': [[[25, -5, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 61}
-
id: 534768
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 67}
-
id: 534769
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007749044109536, 'p': 71}
-
id: 534770
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 73}
-
id: 534771
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 9007749044109536, 'p': 79}
-
id: 534772
{'charpoly_factorization': [[[-112, 0, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 83}
-
id: 534773
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 9007749044109536, 'p': 89}
-
id: 534774
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 9007749044109536, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '224.2.i.c', 'level': 224, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 120696000
{'hecke_orbit_code': 9007749044109536, 'n': 1, 'trace_an': 4}
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id: 120696001
{'hecke_orbit_code': 9007749044109536, 'n': 2, 'trace_an': 0}
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id: 120696002
{'hecke_orbit_code': 9007749044109536, 'n': 3, 'trace_an': 0}
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id: 120696003
{'hecke_orbit_code': 9007749044109536, 'n': 4, 'trace_an': 0}
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id: 120696004
{'hecke_orbit_code': 9007749044109536, 'n': 5, 'trace_an': 6}
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id: 120696005
{'hecke_orbit_code': 9007749044109536, 'n': 6, 'trace_an': 0}
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id: 120696006
{'hecke_orbit_code': 9007749044109536, 'n': 7, 'trace_an': 0}
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id: 120696007
{'hecke_orbit_code': 9007749044109536, 'n': 8, 'trace_an': 0}
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id: 120696008
{'hecke_orbit_code': 9007749044109536, 'n': 9, 'trace_an': -8}
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