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mf_newforms • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, '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': [825, 2, [551, 727, 376], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 199, 'conrey_indexes': [199], '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': [[2, [0, 1]], [7, [1, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099879225, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '825.2.c.b', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '825.2.a.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-iq^{3}+2q^{4}-iq^{7}-q^{9}-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': '825.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1639899479004808669, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.880', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.327', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.329', 'prec': 17}, {'__RealLiteral__': 0, 'data': '138.088', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.518', 'prec': 17}, 'traces': [2, 0, 0, 4, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 8, 0, 0, 14, 0, -2, 0, 0, 0, 0, 0, 0, 0, 12, 0, -14, 0, 0, 0, 0, -4, 0, 0, 2, 0, -12, 0, 0, -4, 0, 0, 0, 0, 12, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 16, 0, 0, 0, 0, -12, 0, -24, 0, 0, 0, 0, 28, 0, 0, 8, 0, 2, 0, 0, -4, 0, 0, 0, 0, -12, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 4, 0, 0, 0, 0, 24, 0, 0, -12, 0, 2, 0, 0, -28, 0, 0, 0, 0, 2, 0, 36, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 12, 0, -14, 0, 0, 0, 0, 4, 0, 0, 12, 0, -12, 0, 0, -24, 0, 0, 0, 0, 24, 0, -14, 0, 0, 0, 0, -8, 0, 0, -36, 0, 10, 0, 0, 0, 0, 0, 0, 0, 2, 0, -24, 0, 0, 0, 0, 24, 0, 0, -22, 0, 10, 0, 0, -24, 0, 0, 0, 0, -14, 0, 10, 0, 0, 0, 0, 0, 0, 0, -28, 0, 12, 0, 0, 0, 0, 0, 0, 0, -34, 0, 2, 0, 0, 0, 0, 0, 0, 0, 60, 0, -26, 0, 0, 20, 0, 0, 0, 0, 12, 0, -36, 0, 0, 0, 0, 32, 0, 0, 4, 0, -12, 0, 0, 0, 0, 0, 0, 0, -36, 0, -32, 0, 0, 0, 0, -24, 0, 0, 14, 0, 24, 0, 0, -48, 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0, 0, 0, 0, 16, 0, -2, 0, 0, 0, 0, 0, 0, 0, -84, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, -68, 0, 0, 86, 0, 10, 0, 0, 4, 0, 0, 0, 0, 48, 0, 84, 0, 0, 0, 0, 0, 0, 0, 26, 0, -48, 0, 0, 0, 0, 0, 0, 0, 28, 0, -60, 0, 0, 0, 0, 120, 0, 0, 0, 0, 36, 0, 0, -52, 0, 0, 0, 0, -84, 0, -12, 0, 0, 0, 0, 40, 0, 0, 12, 0, 22, 0, 0, 0, 0, 0, 0, 0, 12, 0, 10, 0, 0, 0, 0, 24, 0, 0, -4, 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], [2, 0], [0, 0], [0, 0], [0, -1], [0, 0], [-1, 0], [0, 0], [-1, 0], [0, -2], [0, 1], [0, 0], [0, 0], [4, 0], [0, -6], [0, 0], [7, 0], [0, 0], [-1, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 1], [0, -2], [6, 0], [0, 0], [-7, 0], [0, 0], [0, 1], [0, 0], [0, 0], [-2, 0], [0, 2], [0, 0], [1, 0], [0, 0], [-6, 0], [0, 0], [0, 1], [-2, 0], [0, 0], [0, 0], [0, 0], [0, -4], [6, 0], [0, 0], [-6, 0], [0, 2], [0, 6], [0, 0], [0, 0], [0, 0], [0, -7], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [0, 1], [8, 0], [0, 0], [0, 0], [0, 5], [0, -12], [-6, 0], [0, 0], [-12, 0], [0, 0], [0, -14], [0, 0], [0, 0], [14, 0], [0, 1], [0, 0], [4, 0], [0, 0], [1, 0], [0, 0], [0, 6], [-2, 0], [0, 0], [0, 0], [0, -6], [0, 0], [-6, 0], [0, 0], [1, 0], [0, -12], [0, 7], [0, 0], [0, 0], [0, 0], [0, 17], [0, 0], [1, 0], [0, 0]], 'ap': [[0, 0], [0, -1], [0, 0], [0, -1], [-1, 0], [0, 1], [0, -6], [7, 0], [0, -6], [6, 0], [-7, 0], [0, 2], [-6, 0], [0, 1], [0, 0], [0, 6], [0, 0], [5, 0], [0, 5], [-12, 0], [0, -14], [4, 0], [0, 6], [-6, 0], [0, 17], [0, 0], [0, -8], [0, -6], [-11, 0], [0, 18], [0, 8], [18, 0], [0, 0], [4, 0], [6, 0], [-7, 0], [0, 23], [0, 13], [0, 0], [0, 24], [-18, 0], [5, 0], [-12, 0], [0, 7], [0, 24], [-11, 0], [5, 0], [0, -5], [0, -24], [-17, 0], [0, -12], [30, 0], [-13, 0], [-18, 0], [0, 24], [0, 18], [-18, 0], [-16, 0], [0, -13], [12, 0], [0, -29], [0, -18], [0, 5], [18, 0], [0, 13], [0, -30], [-4, 0], [0, -13], [0, 24], [10, 0], [0, 18], [24, 0], [0, -37], [0, 31], [19, 0], [0, 6], [30, 0], [0, -25], [-18, 0], [13, 0], [36, 0], [-10, 0], [-30, 0], [0, -11], [-35, 0], [0, 30], [-24, 0], [0, 26], [6, 0], [0, 4], [0, -18], [36, 0], [0, -13], [18, 0], [13, 0], [0, -6], [-36, 0], [18, 0], [0, -17], [-37, 0], [0, -28], [0, -12], [0, -30], [-30, 0], [-31, 0], [0, -1], [0, -18], [0, -6], [-12, 0], [17, 0], [0, -40], [0, -14], [0, 12], [-47, 0], [-19, 0], [42, 0], [0, -32], [0, -24], [0, 24], [24, 0], [26, 0], [0, 22], [0, 30], [0, -30], [-4, 0], [-36, 0], [-17, 0], [6, 0], [0, 5], [0, -14], [-32, 0], [0, 6], [32, 0], [0, 29], [30, 0], [-29, 0], [0, 18], [0, -55], [0, 0], [-12, 0], [-7, 0], [0, 0], [0, 31], [0, 42], [-14, 0], [30, 0], [0, 19], [0, 30], [4, 0], [0, 12], [0, 53], [30, 0], [0, 7], [0, -6], [0, 20], [-30, 0], [43, 0], [24, 0], [0, -7], [-24, 0], [0, -6], [0, -42], [0, -52], [-6, 0], [0, -42], [0, 0], [5, 0], [0, -10]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503737099879225, 'hecke_ring_character_values': [[551, [1, 0]], [727, [-1, 0]], [376, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '825.2.c.b', 'level': 825, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, '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': [825, 2, [551, 727, 376], [2, 1, 2]], 'conrey_index': 199, 'cusp_dim': 108, 'dim': 28, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 137472508729, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 6, 6], 'label': '825.2.c', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 132, 'mf_new_dim': 28, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 28, 'sturm_bound': 240, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, -32, 0, 8, 0, 0, -28, 0, 0, 0, 0, 8, 0, 56, 0, 0, -12, 0, -4, 0, 0, -24, 0, -8, 0, 0, 32, 0, 4, 0, 0, 40, 0, 32, 0, 0, 4, 0, -32, 0, 0, -16, 0, -24, 0, 0, -24, 0, 16, 0, 0, -8, 0, -72, 0, 0, -32, 0, 12, 0, 0, -40, 0, -8, 0, 0, -16, 0, 96, 0, 0, -40, 0, 72, 0, 0, -16, 0, 28, 0, 0, 48, 0, 72, 0, 0, 56, 0, -28, 0, 0, -8, 0, -24, 0, 0, 0, 0, -24, 0, 0, -40, 0, -152, 0, 0, 28, 0, -48, 0, 0, 64, 0, -24, 0, 0, -152, 0, 28, 0, 0, 24, 0, -8, 0, 0, 20, 0, 72, 0, 0, 80, 0, -168, 0, 0, -8, 0, 8, 0, 0, -56, 0, -40, 0, 0, 144, 0, 132, 0, 0, 0, 0, -80, 0, 0, 32, 0, -56, 0, 0, 120, 0, -48, 0, 0, 24, 0, 12, 0, 0, 72, 0, 32, 0, 0, -88, 0, -52, 0, 0, 88, 0, 80, 0, 0, 4, 0, -16, 0, 0, 248, 0, -208, 0, 0, 4, 0, 4, 0, 0, -72, 0, -176, 0, 0, -16, 0, 4, 0, 0, 128, 0, 24, 0, 0, -32, 0, -104, 0, 0, 120, 0, 136, 0, 0, -12, 0, -24, 0, 0, 8, 0, 64, 0, 0, -136, 0, -12, 0, 0, 56, 0, -24, 0, 0, -56, 0, 120, 0, 0, -56, 0, 232, 0, 0, -32, 0, -32, 0, 0, 24, 0, -32, 0, 0, -72, 0, 48, 0, 0, -168, 0, -8, 0, 0, -4, 0, -24, 0, 0, -160, 0, 8, 0, 0, -60, 0, -36, 0, 0, 64, 0, 56, 0, 0, -72, 0, -76, 0, 0, 240, 0, -40, 0, 0, 16, 0, 168, 0, 0, -88, 0, 16, 0, 0, 24, 0, 56, 0, 0, -32, 0, -80, 0, 0, -16, 0, 112, 0, 0, -176, 0, 8, 0, 0, 80, 0, 64, 0, 0, -24, 0, -88, 0, 0, 120, 0, -4, 0, 0, -80, 0, 16, 0, 0, -256, 0, 104, 0, 0, -152, 0, 112, 0, 0, 32, 0, 136, 0, 0, 64, 0, -216, 0, 0, 76, 0, -24, 0, 0, -72, 0, -40, 0, 0, 104, 0, -56, 0, 0, 88, 0, 16, 0, 0, 52, 0, -56, 0, 0, -40, 0, 288, 0, 0, 28, 0, -104, 0, 0, 24, 0, -24, 0, 0, 64, 0, -128, 0, 0, -200, 0, 16, 0, 0, 16, 0, 8, 0, 0, -16, 0, 56, 0, 0, -84, 0, 24, 0, 0, -24, 0, 64, 0, 0, 16, 0, -16, 0, 0, -48, 0, -208, 0, 0, -16, 0, -16, 0, 0, 72, 0, 120, 0, 0, 60, 0, -92, 0, 0, -128, 0, 160, 0, 0, 64, 0, -360, 0, 0, -32, 0, 8, 0, 0, 116, 0, 136, 0, 0, 112, 0, 192, 0, 0, -12, 0, 32, 0, 0, 72, 0, 32, 0, 0, -256, 0, -104, 0, 0, -136, 0, 144, 0, 0, 8, 0, -168, 0, 0, -240, 0, 80, 0, 0, -244, 0, 32, 0, 0, -208, 0, -32, 0, 0, -64, 0, 20, 0, 0, 424, 0, 32, 0, 0, -12, 0, 168, 0, 0, -40, 0, 120, 0, 0, 140, 0, 0, 0, 0, -40, 0, 168, 0, 0, 160, 0, -140, 0, 0, -56, 0, 40, 0, 0, 28, 0, 184, 0, 0, 168, 0, 360, 0, 0, 228, 0, 88, 0, 0, 8, 0, -56, 0, 0, 0, 0, 44, 0, 0, -608, 0, 184, 0, 0, -56, 0, -128, 0, 0, -280, 0, -80, 0, 0, -236, 0, 16, 0, 0, 296, 0, -184, 0, 0, 240, 0, 68, 0, 0, -120, 0, 40, 0, 0, -96, 0, -88, 0, 0, 144, 0, -200, 0, 0, 24, 0, -28, 0, 0, 16, 0, -376, 0, 0, 240, 0, -128, 0, 0, 48, 0, 40, 0, 0, 92, 0, -24, 0, 0, 184, 0, 216, 0, 0, 196, 0, 32, 0, 0, -72, 0, 16, 0, 0, 360, 0, 16, 0, 0, 128, 0, -168, 0, 0, 24, 0, -56, 0, 0, -176, 0, -8, 0, 0, -140, 0, 16, 0, 0, -96, 0, 208, 0, 0, 72, 0, -80, 0, 0, 448, 0, 8, 0, 0, -28, 0, -40, 0, 0, -224, 0, -120, 0, 0, -208, 0, -36, 0, 0, -96, 0, -72, 0, 0, 88, 0, 144, 0, 0, -96, 0, -48, 0, 0, 48, 0, -352, 0, 0, -288, 0, -224, 0, 0, 52, 0, 168, 0, 0, -72, 0, -568, 0, 0, 40, 0, 40, 0, 0, 384, 0, 128, 0, 0, 40, 0, -232, 0, 0, 296, 0, -88, 0, 0, -264, 0, -56, 0, 0, 72, 0, 16, 0, 0, 248, 0, -276, 0, 0, -48, 0, 104, 0, 0, 28, 0, -136, 0, 0, 432, 0, -24, 0, 0, 248, 0, 76, 0, 0, 184, 0, 24, 0, 0, 152, 0, -220, 0, 0, 256, 0, 8, 0, 0, -132, 0, -336, 0, 0, 160, 0, 64, 0, 0, 128, 0, -112, 0, 0, 24, 0, 456, 0, 0, -40, 0, 292, 0, 0, -248, 0, -360, 0, 0, -256, 0, -8, 0, 0, 48, 0, -104, 0, 0, 88, 0, 0, 0, 0, -200, 0, -232, 0, 0, -248, 0, 80, 0, 0, -168, 0, -72, 0, 0, 24, 0, 152, 0, 0, 312, 0, -192, 0, 0, 100, 0, -28, 0, 0, 48, 0, 368, 0, 0, 208, 0, 160, 0, 0, -112, 0, 40, 0, 0, 12, 0, -88, 0, 0, -624, 0, 8, 0, 0, 232, 0, -16, 0, 0, 152, 0, 272, 0, 0, 32, 0, 384, 0, 0, -40, 0, -144, 0, 0, -176, 0, -200, 0, 0, -320, 0, -80, 0, 0, 0, 0, -28, 0, 0, -120, 0, 160, 0, 0, 216, 0, -28, 0, 0, 216, 0, -192, 0, 0, 48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 519860
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '825.2.a.b', 'target_level': 825, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519861
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '825.2.a.c', 'target_level': 825, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519862
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '825.2.c.b', 'target_level': 825, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 519863
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '825.2.c.b', 'target_level': 825, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519864
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2475.2.a.e', 'target_level': 2475, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519865
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2475.2.a.f', 'target_level': 2475, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519866
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2475.2.c.h', 'target_level': 2475, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519867
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2475.2.c.h', 'target_level': 2475, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519868
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '9075.2.a.i', 'target_level': 9075, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519869
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '825.2.c.b', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '9075.2.a.l', 'target_level': 9075, 'twist_class_label': '825.2.a.b', 'twist_class_level': 825, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1375425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 2}
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id: 1375426
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 3}
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id: 1375427
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 5}
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id: 1375428
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 7}
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id: 1375429
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 11}
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id: 1375430
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 13}
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id: 1375431
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 17}
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id: 1375432
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 19}
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id: 1375433
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 23}
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id: 1375434
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 29}
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id: 1375435
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 31}
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id: 1375436
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 37}
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id: 1375437
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 41}
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id: 1375438
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 43}
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id: 1375439
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 47}
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id: 1375440
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 53}
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id: 1375441
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 59}
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id: 1375442
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 61}
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id: 1375443
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 67}
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id: 1375444
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 71}
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id: 1375445
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 73}
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id: 1375446
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 79}
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id: 1375447
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 83}
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id: 1375448
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503737099879225, 'p': 89}
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id: 1375449
{'charpoly_factorization': [[[289, 0, 1], 1]], 'hecke_orbit_code': 4503737099879225, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '825.2.c.b', 'level': 825, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 81350000
{'hecke_orbit_code': 4503737099879225, 'n': 1, 'trace_an': 2}
-
id: 81350001
{'hecke_orbit_code': 4503737099879225, 'n': 2, 'trace_an': 0}
-
id: 81350002
{'hecke_orbit_code': 4503737099879225, 'n': 3, 'trace_an': 0}
-
id: 81350003
{'hecke_orbit_code': 4503737099879225, 'n': 4, 'trace_an': 4}
-
id: 81350004
{'hecke_orbit_code': 4503737099879225, 'n': 5, 'trace_an': 0}
-
id: 81350005
{'hecke_orbit_code': 4503737099879225, 'n': 6, 'trace_an': 0}
-
id: 81350006
{'hecke_orbit_code': 4503737099879225, 'n': 7, 'trace_an': 0}
-
id: 81350007
{'hecke_orbit_code': 4503737099879225, 'n': 8, 'trace_an': 0}
-
id: 81350008
{'hecke_orbit_code': 4503737099879225, 'n': 9, 'trace_an': -2}
-
id: 81350009
{'hecke_orbit_code': 4503737099879225, 'n': 10, 'trace_an': 0}
-
id: 81350010
{'hecke_orbit_code': 4503737099879225, 'n': 11, 'trace_an': -2}
-
id: 81350011
{'hecke_orbit_code': 4503737099879225, 'n': 12, 'trace_an': 0}
-
id: 81350012
{'hecke_orbit_code': 4503737099879225, 'n': 13, 'trace_an': 0}
-
id: 81350013
{'hecke_orbit_code': 4503737099879225, 'n': 14, 'trace_an': 0}
-
id: 81350014
{'hecke_orbit_code': 4503737099879225, 'n': 15, 'trace_an': 0}
-
id: 81350015
{'hecke_orbit_code': 4503737099879225, 'n': 16, 'trace_an': 8}
-
id: 81350016
{'hecke_orbit_code': 4503737099879225, 'n': 17, 'trace_an': 0}
-
id: 81350017
{'hecke_orbit_code': 4503737099879225, 'n': 18, 'trace_an': 0}
-
id: 81350018
{'hecke_orbit_code': 4503737099879225, 'n': 19, 'trace_an': 14}
-
id: 81350019
{'hecke_orbit_code': 4503737099879225, 'n': 20, 'trace_an': 0}
-
id: 81350020
{'hecke_orbit_code': 4503737099879225, 'n': 21, 'trace_an': -2}
-
id: 81350021
{'hecke_orbit_code': 4503737099879225, 'n': 22, 'trace_an': 0}
-
id: 81350022
{'hecke_orbit_code': 4503737099879225, 'n': 23, 'trace_an': 0}
-
id: 81350023
{'hecke_orbit_code': 4503737099879225, 'n': 24, 'trace_an': 0}
-
id: 81350024
{'hecke_orbit_code': 4503737099879225, 'n': 25, 'trace_an': 0}
-
id: 81350025
{'hecke_orbit_code': 4503737099879225, 'n': 26, 'trace_an': 0}
-
id: 81350026
{'hecke_orbit_code': 4503737099879225, 'n': 27, 'trace_an': 0}
-
id: 81350027
{'hecke_orbit_code': 4503737099879225, 'n': 28, 'trace_an': 0}
-
id: 81350028
{'hecke_orbit_code': 4503737099879225, 'n': 29, 'trace_an': 12}
-
id: 81350029
{'hecke_orbit_code': 4503737099879225, 'n': 30, 'trace_an': 0}
-
id: 81350030
{'hecke_orbit_code': 4503737099879225, 'n': 31, 'trace_an': -14}
-
id: 81350031
{'hecke_orbit_code': 4503737099879225, 'n': 32, 'trace_an': 0}
-
id: 81350032
{'hecke_orbit_code': 4503737099879225, 'n': 33, 'trace_an': 0}
-
id: 81350033
{'hecke_orbit_code': 4503737099879225, 'n': 34, 'trace_an': 0}
-
id: 81350034
{'hecke_orbit_code': 4503737099879225, 'n': 35, 'trace_an': 0}
-
id: 81350035
{'hecke_orbit_code': 4503737099879225, 'n': 36, 'trace_an': -4}
-
id: 81350036
{'hecke_orbit_code': 4503737099879225, 'n': 37, 'trace_an': 0}
-
id: 81350037
{'hecke_orbit_code': 4503737099879225, 'n': 38, 'trace_an': 0}
-
id: 81350038
{'hecke_orbit_code': 4503737099879225, 'n': 39, 'trace_an': 2}
-
id: 81350039
{'hecke_orbit_code': 4503737099879225, 'n': 40, 'trace_an': 0}
-
id: 81350040
{'hecke_orbit_code': 4503737099879225, 'n': 41, 'trace_an': -12}
-
id: 81350041
{'hecke_orbit_code': 4503737099879225, 'n': 42, 'trace_an': 0}
-
id: 81350042
{'hecke_orbit_code': 4503737099879225, 'n': 43, 'trace_an': 0}
-
id: 81350043
{'hecke_orbit_code': 4503737099879225, 'n': 44, 'trace_an': -4}
-
id: 81350044
{'hecke_orbit_code': 4503737099879225, 'n': 45, 'trace_an': 0}
-
id: 81350045
{'hecke_orbit_code': 4503737099879225, 'n': 46, 'trace_an': 0}
-
id: 81350046
{'hecke_orbit_code': 4503737099879225, 'n': 47, 'trace_an': 0}
-
id: 81350047
{'hecke_orbit_code': 4503737099879225, 'n': 48, 'trace_an': 0}
-
id: 81350048
{'hecke_orbit_code': 4503737099879225, 'n': 49, 'trace_an': 12}
-
id: 81350049
{'hecke_orbit_code': 4503737099879225, 'n': 50, 'trace_an': 0}
-
id: 81350050
{'hecke_orbit_code': 4503737099879225, 'n': 51, 'trace_an': -12}
-
id: 81350051
{'hecke_orbit_code': 4503737099879225, 'n': 52, 'trace_an': 0}
-
id: 81350052
{'hecke_orbit_code': 4503737099879225, 'n': 53, 'trace_an': 0}
-
id: 81350053
{'hecke_orbit_code': 4503737099879225, 'n': 54, 'trace_an': 0}
-
id: 81350054
{'hecke_orbit_code': 4503737099879225, 'n': 55, 'trace_an': 0}
-
id: 81350055
{'hecke_orbit_code': 4503737099879225, 'n': 56, 'trace_an': 0}
-
id: 81350056
{'hecke_orbit_code': 4503737099879225, 'n': 57, 'trace_an': 0}
-
id: 81350057
{'hecke_orbit_code': 4503737099879225, 'n': 58, 'trace_an': 0}
-
id: 81350058
{'hecke_orbit_code': 4503737099879225, 'n': 59, 'trace_an': 0}
-
id: 81350059
{'hecke_orbit_code': 4503737099879225, 'n': 60, 'trace_an': 0}
-
id: 81350060
{'hecke_orbit_code': 4503737099879225, 'n': 61, 'trace_an': 10}
-
id: 81350061
{'hecke_orbit_code': 4503737099879225, 'n': 62, 'trace_an': 0}
-
id: 81350062
{'hecke_orbit_code': 4503737099879225, 'n': 63, 'trace_an': 0}
-
id: 81350063
{'hecke_orbit_code': 4503737099879225, 'n': 64, 'trace_an': 16}
-
id: 81350064
{'hecke_orbit_code': 4503737099879225, 'n': 65, 'trace_an': 0}
-
id: 81350065
{'hecke_orbit_code': 4503737099879225, 'n': 66, 'trace_an': 0}
-
id: 81350066
{'hecke_orbit_code': 4503737099879225, 'n': 67, 'trace_an': 0}
-
id: 81350067
{'hecke_orbit_code': 4503737099879225, 'n': 68, 'trace_an': 0}
-
id: 81350068
{'hecke_orbit_code': 4503737099879225, 'n': 69, 'trace_an': -12}
-
id: 81350069
{'hecke_orbit_code': 4503737099879225, 'n': 70, 'trace_an': 0}
-
id: 81350070
{'hecke_orbit_code': 4503737099879225, 'n': 71, 'trace_an': -24}
-
id: 81350071
{'hecke_orbit_code': 4503737099879225, 'n': 72, 'trace_an': 0}
-
id: 81350072
{'hecke_orbit_code': 4503737099879225, 'n': 73, 'trace_an': 0}
-
id: 81350073
{'hecke_orbit_code': 4503737099879225, 'n': 74, 'trace_an': 0}
-
id: 81350074
{'hecke_orbit_code': 4503737099879225, 'n': 75, 'trace_an': 0}
-
id: 81350075
{'hecke_orbit_code': 4503737099879225, 'n': 76, 'trace_an': 28}
-
id: 81350076
{'hecke_orbit_code': 4503737099879225, 'n': 77, 'trace_an': 0}
-
id: 81350077
{'hecke_orbit_code': 4503737099879225, 'n': 78, 'trace_an': 0}
-
id: 81350078
{'hecke_orbit_code': 4503737099879225, 'n': 79, 'trace_an': 8}
-
id: 81350079
{'hecke_orbit_code': 4503737099879225, 'n': 80, 'trace_an': 0}
-
id: 81350080
{'hecke_orbit_code': 4503737099879225, 'n': 81, 'trace_an': 2}
-
id: 81350081
{'hecke_orbit_code': 4503737099879225, 'n': 82, 'trace_an': 0}
-
id: 81350082
{'hecke_orbit_code': 4503737099879225, 'n': 83, 'trace_an': 0}
-
id: 81350083
{'hecke_orbit_code': 4503737099879225, 'n': 84, 'trace_an': -4}
-
id: 81350084
{'hecke_orbit_code': 4503737099879225, 'n': 85, 'trace_an': 0}
-
id: 81350085
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