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mf_newforms • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [630, 2, [281, 127, 451], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 379, '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': [[11, [-2, 1]], [29, [6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511211232526966, 'hecke_ring_generator_nbound': 2, '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': '630.2.g.d', 'level': 630, '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': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.g.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{2}-q^{4}+(2 i+1)q^{5}-i q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '630.2.g', 'trace_display': [0, 0, 2, 0], 'trace_hash': 1876404138500501177, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.582', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '171.909', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.512', 'prec': 17}, 'traces': [2, 0, 0, -2, 2, 0, 0, 0, 0, -4, 4, 0, 0, 2, 0, 2, 0, 0, 4, -2, 0, 0, 0, 0, -6, -4, 0, 0, -12, 0, 12, 0, 0, -16, 4, 0, 0, 0, 0, 4, -12, 0, 0, -4, 0, 0, 0, 0, -2, -8, 0, 0, 0, 0, 4, -2, 0, 0, -16, 0, 20, 0, 0, -2, -8, 0, 0, 0, 0, 2, 28, 0, 0, 16, 0, -4, 0, 0, -8, 2, 0, 0, 0, 0, -32, -16, 0, 0, 20, 0, 4, 0, 0, -8, 4, 0, 0, 0, 0, 6, 20, 0, 0, 4, 0, -4, 0, 0, 12, -8, 0, 0, 0, 0, 0, 12, 0, 0, 16, 0, -14, 0, 0, -12, -22, 0, 0, 0, 0, -4, 40, 0, 0, -24, 0, 16, 0, 0, 4, -4, 0, 0, 0, 0, -12, 20, 0, 0, -36, 0, 16, 0, 0, 4, 12, 0, 0, 0, 0, -4, 0, 0, 0, 12, 0, 32, 0, 0, 18, -16, 0, 0, 0, 0, 8, 4, 0, 0, -4, 0, 44, 0, 0, 0, 32, 0, 0, 0, 0, -8, -28, 0, 0, 20, 0, 2, 0, 0, 52, 8, 0, 0, 0, 0, -12, 0, 0, 0, 8, 0, -16, 0, 0, 24, -32, 0, 0, 0, 0, -4, -32, 0, 0, 2, 0, 12, 0, 0, -52, 0, 0, 0, 0, 0, -16, 16, 0, 0, -44, 0, -20, 0, 0, -20, -2, 0, 0, 0, 0, 4, 0, 0, 0, 24, 0, 2, 0, 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0, 32, -8, 0, 0, 88, 0, 14, 0, 0, 16, 18, 0, 0, 0, 0, 48, 0, 0, 0, 20, 0, -24, 0, 0, 12, 32, 0, 0, 0, 0, -64, -52, 0, 0, -16, 0, -48, 0, 0, 0, -4, 0, 0, 0, 0, 4, 12, 0, 0, 32, 0, 72, 0, 0, -24, -40, 0, 0, 0, 0, -4, -2, 0, 0, -72, 0, -32, 0, 0, -12, 44, 0, 0, 0, 0, -8, -12, 0, 0, -56, 0, 52, 0, 0, 8, 0, 0, 0, 0, 0, 64, 24, 0, 0, -36, 0, -4, 0, 0, -32, -64, 0, 0, 0, 0, 16, 12, 0, 0, -16, 0, -32, 0, 0, 40, -16, 0, 0, 0, 0, -28, 44, 0, 0, -28, 0, 10, 0, 0, 20, 0, 0, 0, 0, 0, 20, -48, 0, 0, 72, 0, 20, 0, 0, 40, 2, 0, 0, 0, 0, 24, 96, 0, 0, 0, 0, -120, 0, 0, 28, 52, 0, 0, 0, 0, -4], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [-1, 0], [1, 2], [0, 0], [0, -1], [0, -1], [0, 0], [-2, 1], [2, 0], [0, 0], [0, 2], [1, 0], [0, 0], [1, 0], [0, 8], [0, 0], [2, 0], [-1, -2], [0, 0], [0, 2], [0, 0], [0, 0], [-3, 4], [-2, 0], [0, 0], [0, 1], [-6, 0], [0, 0], [6, 0], [0, 1], [0, 0], [-8, 0], [2, -1], [0, 0], [0, -8], [0, 2], [0, 0], [2, -1], [-6, 0], [0, 0], [0, 8], [-2, 0], [0, 0], [0, 0], [0, 4], [0, 0], [-1, 0], [-4, -3], [0, 0], [0, -2], [0, 2], [0, 0], [2, 4], [-1, 0], [0, 0], [0, -6], [-8, 0], [0, 0], [10, 0], [0, 6], [0, 0], [-1, 0], [-4, 2], [0, 0], [0, 12], [0, -8], [0, 0], [1, 2], [14, 0], [0, 0], [0, -10], [8, 0], [0, 0], [-2, 0], [0, -2], [0, 0], [-4, 0], [1, 2], [0, 0], [0, -6], [0, -16], [0, 0], [-16, 8], [-8, 0], [0, 0], [0, -2], [10, 0], [0, 0], [2, 0], [0, 0], [0, 0], [-4, 0], [2, 4], [0, 0], [0, -10], [0, -1], [0, 0], [3, -4]], 'ap': [[0, 1], [0, 0], [1, 2], [0, -1], [2, 0], [0, 2], [0, 8], [2, 0], [0, 0], [-6, 0], [6, 0], [0, -8], [-6, 0], [0, 8], [0, 4], [0, 2], [-8, 0], [10, 0], [0, 12], [14, 0], [0, -10], [-4, 0], [0, -16], [10, 0], [0, -10], [10, 0], [0, 0], [0, -12], [6, 0], [0, -6], [0, -12], [20, 0], [0, -14], [2, 0], [-18, 0], [8, 0], [0, 10], [0, 0], [0, -8], [0, 16], [-2, 0], [22, 0], [-14, 0], [0, 0], [0, -6], [26, 0], [-8, 0], [0, -16], [0, -8], [-26, 0], [0, -6], [-22, 0], [-10, 0], [0, 0], [0, -20], [0, 24], [14, 0], [2, 0], [0, 8], [-22, 0], [0, 4], [0, 16], [0, -28], [8, 0], [0, 10], [0, -2], [0, 0], [0, -32], [0, 4], [-18, 0], [0, 0], [14, 0], [0, 32], [0, 36], [28, 0], [0, 0], [6, 0], [0, -2], [-18, 0], [-10, 0], [12, 0], [10, 0], [6, 0], [0, 26], [-6, 0], [0, -36], [-30, 0], [0, 28], [-18, 0], [0, -12], [0, 16], [8, 0], [0, -36], [42, 0], [28, 0], [0, -24], [2, 0], [6, 0], [0, -12], [-2, 0], [0, -20], [0, 6], [0, -12], [18, 0], [-44, 0], [0, -18], [0, 4], [0, 32], [14, 0], [-42, 0], [0, 16], [0, 32], [0, -18], [18, 0], [12, 0], [-30, 0], [0, -20], [0, 16], [0, 14], [-6, 0], [10, 0], [0, 12], [0, 0], [0, -28], [-14, 0], [30, 0], [38, 0], [-20, 0], [0, -16], [0, -30], [-20, 0], [0, -16], [4, 0], [0, 4], [-6, 0], [42, 0], [0, 32], [0, 44], [0, 0], [6, 0], [14, 0], [6, 0], [0, -4], [0, -36], [34, 0], [44, 0], [0, 10], [0, 20], [6, 0], [0, -48], [0, 48], [6, 0], [0, 52], [0, 36], [0, 44], [-6, 0], [4, 0], [-18, 0], [0, 26], [6, 0], [0, 12], [0, 18], [0, 24], [-24, 0], [0, -18], [0, -12], [-60, 0], [0, 38]], 'char_orbit_index': 7, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 13511211232526966, 'hecke_ring_character_values': [[281, [1, 0]], [127, [-1, 0]], [451, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '630.2.g.d', 'level': 630, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [630, 2, [281, 127, 451], [2, 1, 2]], 'conrey_index': 379, 'cusp_dim': 128, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 29], 'hecke_orbit_code': 412350415478, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4], 'label': '630.2.g', 'level': 630, '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': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 160, 'mf_new_dim': 16, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 16, 'sturm_bound': 288, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [16, 0, 0, -16, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 16, 0, 0, 16, 4, 0, 0, 0, 0, -12, -8, 0, 0, 8, 0, 32, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, -16, -12, 0, 0, 0, 0, 8, -4, 0, 0, -48, 0, -48, 0, 0, -16, 20, 0, 0, 0, 0, 4, 64, 0, 0, 16, 0, -16, 0, 0, 40, -4, 0, 0, 0, 0, -16, -8, 0, 0, -40, 0, -8, 0, 0, 0, -4, 0, 0, 0, 0, 12, -24, 0, 0, 8, 0, 32, 0, 0, -32, -40, 0, 0, 0, 0, -64, -8, 0, 0, 0, 0, 80, 0, 0, -32, -28, 0, 0, 0, 0, -52, 80, 0, 0, 24, 0, 0, 0, 0, -16, -4, 0, 0, 0, 0, 0, 40, 0, 0, 8, 0, 48, 0, 0, -16, -24, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, -32, 0, 0, 8, -16, 0, 0, 0, 0, -36, 0, 0, 0, 32, 0, 96, 0, 0, -8, 24, 0, 0, 0, 0, 52, 16, 0, 0, -24, 0, 16, 0, 0, -32, 12, 0, 0, 0, 0, -80, 16, 0, 0, 32, 0, -64, 0, 0, 0, -56, 0, 0, 0, 0, -8, -96, 0, 0, 4, 0, 48, 0, 0, -32, 32, 0, 0, 0, 0, -8, 48, 0, 0, -56, 0, -48, 0, 0, 48, 4, 0, 0, 0, 0, 24, 16, 0, 0, 72, 0, 16, 0, 0, -8, -20, 0, 0, 0, 0, 40, -24, 0, 0, 72, 0, -96, 0, 0, 40, 96, 0, 0, 0, 0, -4, -32, 0, 0, -64, 0, 16, 0, 0, 64, 32, 0, 0, 0, 0, 84, -16, 0, 0, -64, 0, 32, 0, 0, 16, 28, 0, 0, 0, 0, -8, -80, 0, 0, -88, 0, -40, 0, 0, 0, 4, 0, 0, 0, 0, -40, -40, 0, 0, -24, 0, 128, 0, 0, 16, -112, 0, 0, 0, 0, 16, 128, 0, 0, 8, 0, -16, 0, 0, -32, 0, 0, 0, 0, 0, 64, 40, 0, 0, 8, 0, 184, 0, 0, 8, 16, 0, 0, 0, 0, -88, -8, 0, 0, -16, 0, 0, 0, 0, 112, 4, 0, 0, 0, 0, -24, 8, 0, 0, 88, 0, -112, 0, 0, -64, 0, 0, 0, 0, 0, -12, -8, 0, 0, 24, 0, 24, 0, 0, -240, 64, 0, 0, 0, 0, 12, -8, 0, 0, 48, 0, -80, 0, 0, -32, -104, 0, 0, 0, 0, -56, -24, 0, 0, 32, 0, 32, 0, 0, 144, 40, 0, 0, 0, 0, -8, 32, 0, 0, -112, 0, 32, 0, 0, 224, 36, 0, 0, 0, 0, 64, -40, 0, 0, 8, 0, -104, 0, 0, 16, -32, 0, 0, 0, 0, 144, 0, 0, 0, 128, 0, -112, 0, 0, -80, 56, 0, 0, 0, 0, 0, 144, 0, 0, -88, 0, 32, 0, 0, -112, 28, 0, 0, 0, 0, -20, -64, 0, 0, -72, 0, 8, 0, 0, 64, 24, 0, 0, 0, 0, 52, -8, 0, 0, -80, 0, 32, 0, 0, -192, -64, 0, 0, 0, 0, 144, -24, 0, 0, 0, 0, -80, 0, 0, 0, 16, 0, 0, 0, 0, -96, 64, 0, 0, 80, 0, 16, 0, 0, -176, 4, 0, 0, 0, 0, 96, 16, 0, 0, 40, 0, -80, 0, 0, -56, -72, 0, 0, 0, 0, 0, -48, 0, 0, -40, 0, -176, 0, 0, 144, -28, 0, 0, 0, 0, 24, -8, 0, 0, 16, 0, -128, 0, 0, -48, -52, 0, 0, 0, 0, 28, -192, 0, 0, 64, 0, 16, 0, 0, 176, 24, 0, 0, 0, 0, 8, -24, 0, 0, 176, 0, -200, 0, 0, 176, 16, 0, 0, 0, 0, 0, -152, 0, 0, 24, 0, -80, 0, 0, 144, 96, 0, 0, 0, 0, 4, 8, 0, 0, -16, 0, 96, 0, 0, 32, 60, 0, 0, 0, 0, 32, 32, 0, 0, 88, 0, -8, 0, 0, 104, 16, 0, 0, 0, 0, 8, -4, 0, 0, -32, 0, -176, 0, 0, -80, -20, 0, 0, 0, 0, 36, 24, 0, 0, 0, 0, -224, 0, 0, 160, 16, 0, 0, 0, 0, -160, -32, 0, 0, 32, 0, -16, 0, 0, -96, 96, 0, 0, 0, 0, 16, -192, 0, 0, -256, 0, 8, 0, 0, 0, -24, 0, 0, 0, 0, -8, 16, 0, 0, -16, 0, 0, 0, 0, -96, -64, 0, 0, 0, 0, -52, 104, 0, 0, -16, 0, 160, 0, 0, 0, -24, 0, 0, 0, 0, 144, 24, 0, 0, -192, 0, 224, 0, 0, -16, 84, 0, 0, 0, 0, -80, 40, 0, 0, 40, 0, 32, 0, 0, -176, -12, 0, 0, 0, 0, -80, 80, 0, 0, 184, 0, 48, 0, 0, -224, 56, 0, 0, 0, 0, 80, -104, 0, 0, -16, 0, 0, 0, 0, 80, 36, 0, 0, 0, 0, -232, -32, 0, 0, 176, 0, 64, 0, 0, 64, 100, 0, 0, 0, 0, 72, 80, 0, 0, 64, 0, 0, 0, 0, 80, 56, 0, 0, 0, 0, -36, -40, 0, 0, -160, 0, 192, 0, 0, 144, 20, 0, 0, 0, 0, 8, -120, 0, 0, 96, 0, 48, 0, 0, -40, -120, 0, 0, 0, 0, 96, -4, 0, 0, 32, 0, -32, 0, 0, -48, 92, 0, 0, 0, 0, 4, 40, 0, 0, -40, 0, 32, 0, 0, 56, -32, 0, 0, 0, 0, 72, -112, 0, 0, -72, 0, -16, 0, 0, 256, -48, 0, 0, 0, 0, 8, 120, 0, 0, -48, 0, -64, 0, 0, 256, -80, 0, 0, 0, 0, -64, 56, 0, 0, -48, 0, -176, 0, 0, 48, -120, 0, 0, 0, 0, 88, 48, 0, 0, 184, 0, -48, 0, 0, -256, -4, 0, 0, 0, 0, 8, 64, 0, 0, -192, 0, -40, 0, 0, -8, 136, 0, 0, 0, 0, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 422230
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.g.a', 'target_level': 210, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422231
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.g.a', 'target_level': 210, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 422232
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '630.2.g.d', 'target_level': 630, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 422233
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '630.2.g.d', 'target_level': 630, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422234
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.a.g', 'target_level': 1050, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 422235
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1050.2.a.m', 'target_level': 1050, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 422236
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1470.2.g.e', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422237
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1470.2.g.e', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 422238
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1470.2.n.c', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 422239
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1470.2.n.c', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 422240
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1470.2.n.g', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 422241
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1470.2.n.g', 'target_level': 1470, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 422242
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1680.2.t.d', 'target_level': 1680, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422243
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1680.2.t.d', 'target_level': 1680, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 422244
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3150.2.a.q', 'target_level': 3150, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422245
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3150.2.a.be', 'target_level': 3150, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422246
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '5040.2.t.k', 'target_level': 5040, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422247
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '5040.2.t.k', 'target_level': 5040, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 422248
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7350.2.a.g', 'target_level': 7350, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 422249
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '7350.2.a.co', 'target_level': 7350, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 422250
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '8400.2.a.bd', 'target_level': 8400, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 422251
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '630.2.g.d', 'source_level': 630, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '8400.2.a.ca', 'target_level': 8400, 'twist_class_label': '210.2.g.a', 'twist_class_level': 210, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1139675
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 2}
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id: 1139676
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 3}
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id: 1139677
{'charpoly_factorization': [[[5, -2, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 5}
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id: 1139678
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 7}
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id: 1139679
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 11}
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id: 1139680
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 13}
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id: 1139681
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 17}
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id: 1139682
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 19}
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id: 1139683
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 23}
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id: 1139684
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 29}
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id: 1139685
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 31}
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id: 1139686
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 37}
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id: 1139687
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 41}
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id: 1139688
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 43}
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id: 1139689
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 47}
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id: 1139690
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 53}
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id: 1139691
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 59}
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id: 1139692
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 61}
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id: 1139693
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 67}
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id: 1139694
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 71}
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id: 1139695
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 73}
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id: 1139696
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 79}
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id: 1139697
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 83}
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id: 1139698
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 13511211232526966, 'p': 89}
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id: 1139699
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 13511211232526966, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 4, 'label': '630.2.g.d', 'level': 630, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36742531
{'hecke_orbit_code': 13511211232526966, 'n': 1, 'trace_an': 2}
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id: 36742532
{'hecke_orbit_code': 13511211232526966, 'n': 2, 'trace_an': 0}
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id: 36742533
{'hecke_orbit_code': 13511211232526966, 'n': 3, 'trace_an': 0}
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id: 36742534
{'hecke_orbit_code': 13511211232526966, 'n': 4, 'trace_an': -2}
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id: 36742535
{'hecke_orbit_code': 13511211232526966, 'n': 5, 'trace_an': 2}
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id: 36742536
{'hecke_orbit_code': 13511211232526966, 'n': 6, 'trace_an': 0}
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id: 36742537
{'hecke_orbit_code': 13511211232526966, 'n': 7, 'trace_an': 0}
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id: 36742538
{'hecke_orbit_code': 13511211232526966, 'n': 8, 'trace_an': 0}
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id: 36742539
{'hecke_orbit_code': 13511211232526966, 'n': 9, 'trace_an': 0}
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id: 36742540
{'hecke_orbit_code': 13511211232526966, 'n': 10, 'trace_an': -4}
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id: 36742541
{'hecke_orbit_code': 13511211232526966, 'n': 11, 'trace_an': 4}
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id: 36742542
{'hecke_orbit_code': 13511211232526966, 'n': 12, 'trace_an': 0}
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id: 36742543
{'hecke_orbit_code': 13511211232526966, 'n': 13, 'trace_an': 0}
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id: 36742544
{'hecke_orbit_code': 13511211232526966, 'n': 14, 'trace_an': 2}
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id: 36742545
{'hecke_orbit_code': 13511211232526966, 'n': 15, 'trace_an': 0}
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id: 36742546
{'hecke_orbit_code': 13511211232526966, 'n': 16, 'trace_an': 2}
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id: 36742547
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