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mf_newforms • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'cm_discs': [], 'conrey_index': 109, 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 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': [[2, [9, -9, 15, 0, 7, -2, 1]], [13, [2209, 893, 455, 56, 23, 2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029209369379383, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 1, 3, 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': '567.2.g.i', 'level': 567, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.e.e', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(1-\\beta _{4}+\\beta _{5})q^{2}+(-\\beta _{1}-\\beta _{2}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.g', 'trace_display': [2, 0, -2, 2], 'trace_hash': 322909348166714405, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.700', 'prec': 17}, {'__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], [1, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0], [0, -1, -1, -1, -2, 1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 1, -1, -1, -1, 0], [-4, -1, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, -1, 0, -1, 1], [-2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 1, -2], [2, -2, -1, -1, -4, 1], [0, 0, 0, 0, 0, 0], [-5, 0, 1, 0, 5, -4], [1, 0, -2, 0, -1, 1], [0, 0, 0, 0, 0, 0], [0, 1, 1, 1, -1, -1], [0, -2, 0, 0, -5, 2], [0, 0, 0, 0, 0, 0], [1, 0, -1, 0, -1, -2], [-2, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 1, 0, -2, 0, 0], [0, 0, 1, 1, 6, 0], [0, 0, 0, 0, 0, 0], [-7, -3, -1, -2, 1, 0], [0, 1, -2, -2, 4, -1], [0, 0, 0, 0, 0, 0], [0, 2, -1, -1, 3, -2], [0, 4, 1, 1, 10, -4], [0, 0, 0, 0, 0, 0], [0, -3, -3, -3, -6, 3], [1, 0, 1, 2, -4, 1], [0, 0, 0, 0, 0, 0], [0, -1, 2, 2, 3, 1], [3, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0], [-9, -3, 0, 0, 0, 0], [2, 0, 1, 0, -2, 5], [0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 4, -3], [0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -3], [2, 0, -1, 0, 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-24, -1], [0, -10, 16, 16, 8, 10], [0, 18, -3, -3, 10, -18], [36, 1, 0, 1, 0, 0], [-9, 0, 1, 0, 9, 5], [-12, 0, 15, 0, 12, 3], [4, 8, 0, 2, 0, 0], [-13, 12, 0, 6, 0, 0], [13, 7, 0, 5, 0, 0], [-11, 0, -3, 0, 11, -15], [6, 0, 11, 0, -6, 3], [0, 10, 10, 10, -13, -10], [-8, 0, 2, 0, 8, 10], [-8, 0, 7, 0, 8, 10], [-13, -6, 0, 3, 0, 0], [4, 0, -12, 0, -4, 13], [0, 8, -13, -13, -18, -8], [0, 0, 0, -9, 0, 0], [-8, 0, 15, 0, 8, 0], [0, -8, 7, 7, -14, 8], [0, -9, 9, 9, 28, 9], [-32, 7, 0, -12, 0, 0], [20, -9, 0, 3, 0, 0], [0, 2, 1, 1, -7, -2], [-2, 20, 0, 8, 0, 0], [27, 0, 0, -9, 0, 0], [-16, -9, 0, 9, 0, 0], [8, -4, 0, 0, 0, 0], [-4, 18, 0, -6, 0, 0], [0, -9, 9, 9, -21, 9], [0, 0, 18, 18, 1, 0], [1, 0, 0, 0, -1, 1], [12, 4, 0, 13, 0, 0], [0, -3, -2, -2, 48, 3], [-14, 0, 15, 0, 14, 13], [-8, -14, 0, 1, 0, 0], [8, 0, -1, 0, -8, -2], [0, -1, -11, -11, 17, 1], [0, 7, -4, -4, -17, -7], [-10, -13, 0, -8, 0, 0], [10, 0, -9, 0, -10, 0], [-23, 5, 0, 2, 0, 0]], 'char_orbit_index': 7, 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'hecke_orbit_code': 36029209369379383, 'hecke_ring_character_values': [[407, [-1, 0, 0, 0, 1, 0]], [325, [0, 0, 0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [2, 1, -2, -1, -1, -2], [-4, 4, -2, -1, -1, -2], [-10, 1, 4, 2, 5, 7], [5, -17, 10, 8, 11, 16], [47, -23, -5, 5, -16, -14]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [2, -1, 1, 0, 0, 0], [6, -18, 5, -8, 1, -1], [3, -5, 6, -2, 1, 0], [9, -21, 19, -16, 5, -2], [-9, 30, -22, 19, -5, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '567.2.g.i', 'level': 567, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'conrey_index': 109, 'cusp_dim': 120, 'dim': 60, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 412350415415, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 16], 'label': '567.2.g', 'level': 567, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 168, 'mf_new_dim': 68, 'num_forms': 12, 'prim_orbit_index': 7, 'relative_dim': 30, 'sturm_bound': 144, 'trace_bound': 7, 'trace_display': [0, 0, 0, -3], 'traces': [60, 0, 0, -30, 0, 0, -3, 0, 0, 6, 0, 0, 9, 0, 0, -30, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, -12, 0, 0, 18, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 24, 0, 0, -6, 0, 0, -27, 0, 0, -36, 0, 0, -48, 0, 0, -48, 0, 0, -15, 0, 0, 48, 0, 0, -3, 0, 0, -30, 0, 0, 0, 0, 0, -48, 0, 0, 45, 0, 0, -6, 0, 0, 6, 0, 0, 36, 0, 0, -51, 0, 0, 30, 0, 0, 9, 0, 0, -12, 0, 0, 126, 0, 0, -30, 0, 0, 48, 0, 0, 150, 0, 0, -36, 0, 0, -180, 0, 0, 0, 0, 0, 60, 0, 0, -96, 0, 0, 30, 0, 0, -57, 0, 0, -48, 0, 0, -9, 0, 0, 6, 0, 0, 12, 0, 0, -30, 0, 0, -66, 0, 0, 78, 0, 0, -126, 0, 0, -6, 0, 0, -15, 0, 0, 36, 0, 0, 21, 0, 0, 36, 0, 0, -63, 0, 0, 96, 0, 0, 204, 0, 0, 108, 0, 0, 24, 0, 0, 132, 0, 0, -81, 0, 0, -72, 0, 0, 69, 0, 0, 138, 0, 0, -126, 0, 0, -162, 0, 0, 51, 0, 0, 156, 0, 0, -27, 0, 0, 66, 0, 0, -24, 0, 0, 108, 0, 0, -204, 0, 0, 102, 0, 0, -6, 0, 0, -168, 0, 0, -294, 0, 0, 96, 0, 0, 6, 0, 0, 48, 0, 0, 204, 0, 0, 102, 0, 0, 102, 0, 0, -264, 0, 0, -204, 0, 0, 156, 0, 0, -3, 0, 0, 24, 0, 0, -60, 0, 0, -318, 0, 0, 90, 0, 0, 120, 0, 0, -66, 0, 0, -276, 0, 0, -12, 0, 0, 78, 0, 0, 141, 0, 0, 108, 0, 0, -120, 0, 0, -108, 0, 0, 48, 0, 0, -240, 0, 0, 18, 0, 0, -216, 0, 0, -3, 0, 0, 54, 0, 0, -24, 0, 0, 66, 0, 0, -6, 0, 0, -384, 0, 0, 66, 0, 0, -180, 0, 0, 21, 0, 0, 24, 0, 0, 96, 0, 0, 114, 0, 0, -6, 0, 0, 30, 0, 0, 132, 0, 0, 756, 0, 0, 276, 0, 0, 0, 0, 0, -54, 0, 0, 12, 0, 0, 174, 0, 0, 300, 0, 0, 54, 0, 0, -174, 0, 0, 66, 0, 0, 180, 0, 0, 390, 0, 0, 168, 0, 0, -27, 0, 0, -192, 0, 0, 102, 0, 0, -180, 0, 0, -90, 0, 0, -18, 0, 0, -147, 0, 0, -384, 0, 0, -132, 0, 0, -444, 0, 0, 42, 0, 0, 204, 0, 0, 6, 0, 0, 252, 0, 0, -174, 0, 0, 42, 0, 0, 144, 0, 0, 120, 0, 0, -78, 0, 0, 0, 0, 0, -222, 0, 0, 192, 0, 0, -120, 0, 0, -126, 0, 0, 378, 0, 0, -66, 0, 0, -90, 0, 0, 114, 0, 0, 240, 0, 0, -540, 0, 0, 60, 0, 0, -192, 0, 0, -180, 0, 0, 114, 0, 0, 30, 0, 0, 48, 0, 0, -36, 0, 0, -150, 0, 0, -39, 0, 0, -306, 0, 0, -276, 0, 0, 276, 0, 0, -72, 0, 0, 144, 0, 0, -114, 0, 0, 60, 0, 0, -123, 0, 0, -306, 0, 0, 117, 0, 0, 756, 0, 0, -102, 0, 0, 612, 0, 0, 42, 0, 0, -384, 0, 0, -30, 0, 0, -366, 0, 0, 153, 0, 0, 330, 0, 0, -30, 0, 0, -378, 0, 0, -54, 0, 0, 96, 0, 0, -30, 0, 0, 306, 0, 0, 216, 0, 0, 294, 0, 0, -36, 0, 0, -6, 0, 0, -51, 0, 0, -546, 0, 0, -438, 0, 0, -144, 0, 0, -324, 0, 0, -126, 0, 0, 162, 0, 0, -54, 0, 0, -174, 0, 0, -150, 0, 0, -270, 0, 0, 408, 0, 0, 84, 0, 0, -156, 0, 0, 12, 0, 0, -156, 0, 0, 108, 0, 0, -192, 0, 0, -138, 0, 0, 144, 0, 0, -102, 0, 0, 12, 0, 0, 381, 0, 0, -120, 0, 0, -384, 0, 0, -384, 0, 0, 114, 0, 0, -72, 0, 0, 54, 0, 0, 366, 0, 0, -9, 0, 0, 126, 0, 0, 51, 0, 0, 210, 0, 0, 150, 0, 0, -24, 0, 0, 513, 0, 0, -450, 0, 0, 108, 0, 0, -48, 0, 0, -24, 0, 0, 102, 0, 0, 96, 0, 0, -138, 0, 0, 288, 0, 0, 636, 0, 0, 228, 0, 0, -96, 0, 0, 354, 0, 0, -342, 0, 0, 174, 0, 0, 366, 0, 0, 144, 0, 0, -360, 0, 0, 0, 0, 0, 330, 0, 0, 216, 0, 0, 234, 0, 0, 123, 0, 0, -96, 0, 0, 222, 0, 0, 120, 0, 0, 258, 0, 0, 162, 0, 0, -180, 0, 0, -912, 0, 0, 168, 0, 0, -276, 0, 0, -228, 0, 0, 168, 0, 0, -21, 0, 0, 252, 0, 0, -180, 0, 0, -372, 0, 0, 144, 0, 0, -96, 0, 0, 120, 0, 0, -132, 0, 0, -393, 0, 0, -54, 0, 0, 54, 0, 0, -276, 0, 0, -78, 0, 0, -324, 0, 0, 252, 0, 0, 246, 0, 0, 450, 0, 0, -168, 0, 0, -30, 0, 0, -198, 0, 0, -564, 0, 0, 60, 0, 0, -453, 0, 0, -6, 0, 0, 126, 0, 0, -120, 0, 0, 78, 0, 0, -150, 0, 0, -90, 0, 0, 210, 0, 0, -576, 0, 0, 378, 0, 0, 48, 0, 0, -204, 0, 0, -147, 0, 0, -132, 0, 0, 354, 0, 0, 576, 0, 0, 438, 0, 0, 1188, 0, 0, 24, 0, 0, -276, 0, 0, 9, 0, 0, 270, 0, 0, 336, 0, 0, -270, 0, 0, -138, 0, 0, 504, 0, 0, 87, 0, 0, 672, 0, 0, 183, 0, 0, 234, 0, 0, -306, 0, 0, -12, 0, 0, -588, 0, 0, -120, 0, 0, 81, 0, 0, -348, 0, 0, -384, 0, 0, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 387580
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '189.2.e.e', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387581
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '189.2.e.e', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 387582
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '189.2.e.f', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387583
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '189.2.e.f', 'target_level': 189, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387584
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.g.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 387585
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.g.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 387586
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.g.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 387587
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.g.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 387588
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.h.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387589
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.h.h', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387590
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.h.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387591
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '567.2.h.i', 'target_level': 567, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387592
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1323.2.a.x', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 387593
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1323.2.a.y', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 387594
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1323.2.a.z', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 387595
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '567.2.g.i', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1323.2.a.ba', 'target_level': 1323, 'twist_class_label': '189.2.e.e', 'twist_class_level': 189, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1056425
{'charpoly_factorization': [[[9, -9, 15, 0, 7, -2, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 2}
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id: 1056426
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 36029209369379383, 'p': 3}
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id: 1056427
{'charpoly_factorization': [[[3, -6, 1, 1], 2]], 'hecke_orbit_code': 36029209369379383, 'p': 5}
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id: 1056428
{'charpoly_factorization': [[[343, -98, 14, 19, 2, -2, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 7}
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id: 1056429
{'charpoly_factorization': [[[3, 12, 7, 1], 2]], 'hecke_orbit_code': 36029209369379383, 'p': 11}
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id: 1056430
{'charpoly_factorization': [[[2209, 893, 455, 56, 23, 2, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 13}
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id: 1056431
{'charpoly_factorization': [[[81, 297, 1089, 18, 33, 0, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 17}
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id: 1056432
{'charpoly_factorization': [[[841, 116, 161, 38, 29, 5, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 19}
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id: 1056433
{'charpoly_factorization': [[[-9, 3, 6, 1], 2]], 'hecke_orbit_code': 36029209369379383, 'p': 23}
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id: 1056434
{'charpoly_factorization': [[[81, -270, 783, -372, 139, -13, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 29}
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id: 1056435
{'charpoly_factorization': [[[4761, 69, 553, -146, 63, -8, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 31}
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id: 1056436
{'charpoly_factorization': [[[8649, -465, 769, -146, 69, -8, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 37}
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id: 1056437
{'charpoly_factorization': [[[149769, -40635, 11799, -564, 109, -2, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 41}
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id: 1056438
{'charpoly_factorization': [[[10201, -1212, 1053, -94, 93, -9, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 43}
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id: 1056439
{'charpoly_factorization': [[[81, 378, 1683, 396, 123, -9, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 47}
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id: 1056440
{'charpoly_factorization': [[[59049, -40095, 21393, -3474, 411, -24, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 53}
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id: 1056441
{'charpoly_factorization': [[[6561, 5346, 3141, 828, 159, 15, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 59}
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id: 1056442
{'charpoly_factorization': [[[14641, -5929, 2522, -193, 50, -1, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 61}
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id: 1056443
{'charpoly_factorization': [[[961, 1643, 2375, 680, 143, 14, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 67}
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id: 1056444
{'charpoly_factorization': [[[-243, -108, -3, 1], 2]], 'hecke_orbit_code': 36029209369379383, 'p': 71}
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id: 1056445
{'charpoly_factorization': [[[962361, 131454, 24823, 1024, 183, 7, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 73}
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id: 1056446
{'charpoly_factorization': [[[16129, 8763, 5523, -160, 105, 6, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 79}
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id: 1056447
{'charpoly_factorization': [[[531441, 131220, 30213, 1998, 189, -3, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 83}
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id: 1056448
{'charpoly_factorization': [[[239121, 45477, 11094, 513, 118, 5, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 89}
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id: 1056449
{'charpoly_factorization': [[[576, 384, 592, -272, 180, -14, 1], 1]], 'hecke_orbit_code': 36029209369379383, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 9, 'label': '567.2.g.i', 'level': 567, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 52099981
{'hecke_orbit_code': 36029209369379383, 'n': 1, 'trace_an': 6}
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id: 52099982
{'hecke_orbit_code': 36029209369379383, 'n': 2, 'trace_an': 2}
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id: 52099983
{'hecke_orbit_code': 36029209369379383, 'n': 3, 'trace_an': 0}
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id: 52099984
{'hecke_orbit_code': 36029209369379383, 'n': 4, 'trace_an': -4}
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id: 52099985
{'hecke_orbit_code': 36029209369379383, 'n': 5, 'trace_an': -2}
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id: 52099986
{'hecke_orbit_code': 36029209369379383, 'n': 6, 'trace_an': 0}
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id: 52099987
{'hecke_orbit_code': 36029209369379383, 'n': 7, 'trace_an': 2}
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id: 52099988
{'hecke_orbit_code': 36029209369379383, 'n': 8, 'trace_an': -18}
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id: 52099989
{'hecke_orbit_code': 36029209369379383, 'n': 9, 'trace_an': 0}
-
id: 52099990
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{'hecke_orbit_code': 36029209369379383, 'n': 729, 'trace_an': 0}
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id: 52100198
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id: 52100199
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id: 52100200
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id: 52100201
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id: 52100202
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id: 52100203
{'hecke_orbit_code': 36029209369379383, 'n': 761, 'trace_an': 54}
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id: 52100204
{'hecke_orbit_code': 36029209369379383, 'n': 769, 'trace_an': -21}
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id: 52100205
{'hecke_orbit_code': 36029209369379383, 'n': 773, 'trace_an': 26}
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id: 52100206
{'hecke_orbit_code': 36029209369379383, 'n': 787, 'trace_an': -59}
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id: 52100207
{'hecke_orbit_code': 36029209369379383, 'n': 797, 'trace_an': -32}
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id: 52100208
{'hecke_orbit_code': 36029209369379383, 'n': 809, 'trace_an': -27}
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id: 52100209
{'hecke_orbit_code': 36029209369379383, 'n': 811, 'trace_an': -72}
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id: 52100210
{'hecke_orbit_code': 36029209369379383, 'n': 821, 'trace_an': -13}
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id: 52100211
{'hecke_orbit_code': 36029209369379383, 'n': 823, 'trace_an': -49}
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id: 52100212
{'hecke_orbit_code': 36029209369379383, 'n': 827, 'trace_an': 18}
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id: 52100213
{'hecke_orbit_code': 36029209369379383, 'n': 829, 'trace_an': -9}
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id: 52100214
{'hecke_orbit_code': 36029209369379383, 'n': 839, 'trace_an': -41}
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id: 52100215
{'hecke_orbit_code': 36029209369379383, 'n': 841, 'trace_an': -22}
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id: 52100216
{'hecke_orbit_code': 36029209369379383, 'n': 853, 'trace_an': 84}
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id: 52100217
{'hecke_orbit_code': 36029209369379383, 'n': 857, 'trace_an': -182}
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id: 52100218
{'hecke_orbit_code': 36029209369379383, 'n': 859, 'trace_an': 132}
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id: 52100219
{'hecke_orbit_code': 36029209369379383, 'n': 863, 'trace_an': -24}
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id: 52100220
{'hecke_orbit_code': 36029209369379383, 'n': 877, 'trace_an': -68}
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id: 52100221
{'hecke_orbit_code': 36029209369379383, 'n': 881, 'trace_an': 180}
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id: 52100222
{'hecke_orbit_code': 36029209369379383, 'n': 883, 'trace_an': -96}
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id: 52100223
{'hecke_orbit_code': 36029209369379383, 'n': 887, 'trace_an': 56}
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id: 52100224
{'hecke_orbit_code': 36029209369379383, 'n': 907, 'trace_an': -48}
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id: 52100225
{'hecke_orbit_code': 36029209369379383, 'n': 911, 'trace_an': -63}
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id: 52100226
{'hecke_orbit_code': 36029209369379383, 'n': 919, 'trace_an': -15}
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id: 52100227
{'hecke_orbit_code': 36029209369379383, 'n': 929, 'trace_an': 2}
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id: 52100228
{'hecke_orbit_code': 36029209369379383, 'n': 937, 'trace_an': 38}
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id: 52100229
{'hecke_orbit_code': 36029209369379383, 'n': 941, 'trace_an': 149}
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id: 52100230
{'hecke_orbit_code': 36029209369379383, 'n': 947, 'trace_an': -40}
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id: 52100231
{'hecke_orbit_code': 36029209369379383, 'n': 953, 'trace_an': -22}
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id: 52100232
{'hecke_orbit_code': 36029209369379383, 'n': 961, 'trace_an': 31}
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id: 52100233
{'hecke_orbit_code': 36029209369379383, 'n': 967, 'trace_an': 25}
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id: 52100234
{'hecke_orbit_code': 36029209369379383, 'n': 971, 'trace_an': 63}
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id: 52100235
{'hecke_orbit_code': 36029209369379383, 'n': 977, 'trace_an': -54}
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id: 52100236
{'hecke_orbit_code': 36029209369379383, 'n': 983, 'trace_an': -18}
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id: 52100237
{'hecke_orbit_code': 36029209369379383, 'n': 991, 'trace_an': 21}
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id: 52100238
{'hecke_orbit_code': 36029209369379383, 'n': 997, 'trace_an': -152}