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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': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 3]], 'cm_discs': [], 'conrey_index': 190, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [5, [9, -3, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014742140420663, 'hecke_ring_generator_nbound': 5, '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, 9, 3, 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.f.e', '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.a.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+2\\zeta_{6}q^{4}+3\\zeta_{6}q^{5}+(-1+\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.f', 'trace_display': [0, 0, 3, -1], 'trace_hash': 866508416267588294, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.129', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.597', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.287', 'prec': 17}, {'__RealLiteral__': 0, 'data': '116.138', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, 0, 0, 2, 3, 0, -1, 0, 0, 0, 6, 0, 4, 0, 0, -4, -6, 0, 4, -6, 0, 0, -6, 0, -4, 0, 0, -4, -6, 0, 4, 0, 0, 0, -6, 0, -14, 0, 0, 0, -3, 0, 1, 24, 0, 0, 9, 0, -1, 0, 0, -8, 12, 0, 36, 0, 0, 0, 9, 0, 10, 0, 0, -16, -12, 0, 4, -6, 0, 0, 0, 0, 4, 0, 0, 4, 6, 0, 1, -24, 0, 0, 3, 0, -9, 0, 0, 0, -12, 0, -8, 12, 0, 0, 6, 0, 10, 0, 0, -16, 6, 0, -14, 0, 0, 0, -12, 0, 22, 0, 0, -4, -12, 0, 18, -24, 0, 0, 3, 0, -25, 0, 0, -8, 6, 0, -14, 0, 0, 0, 12, 0, -2, 0, 0, 0, -12, 0, 22, -6, 0, 0, 48, 0, -36, 0, 0, -14, -6, 0, 19, 0, 0, 0, -12, 0, -14, 0, 0, 0, 12, 0, -14, 6, 0, 0, -3, 0, -3, 0, 0, 4, -18, 0, -4, 24, 0, 0, -24, 0, 40, 0, 0, 0, -21, 0, -18, 36, 0, 0, 18, 0, 13, 0, 0, 2, 36, 0, 40, 0, 0, 0, -6, 0, 9, 0, 0, -32, 12, 0, 4, 12, 0, 0, 6, 0, -8, 0, 0, 36, -12, 0, -8, 0, 0, 0, -12, 0, 4, 0, 0, 0, -48, 0, 54, -18, 0, 0, -12, 0, -8, 0, 0, 40, 3, 0, 8, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 2], [0, 3], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [6, -6], [0, 0], [0, 4], [0, 0], [0, 0], [-4, 4], [-3, 0], [0, 0], [2, 0], [-6, 6], [0, 0], [0, 0], [0, -6], [0, 0], [-4, 4], [0, 0], [0, 0], [-2, 0], [-6, 6], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [-7, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [1, -1], [12, 0], [0, 0], [0, 0], [9, -9], [0, 0], [0, -1], [0, 0], [0, 0], [-8, 8], [6, 0], [0, 0], [18, 0], [0, 0], [0, 0], [0, 0], [0, 9], [0, 0], [10, -10], [0, 0], [0, 0], [-8, 0], [-12, 12], [0, 0], [0, 4], [0, -6], [0, 0], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 4], [0, 6], [0, 0], [1, -1], [-12, 0], [0, 0], [0, 0], [3, -3], [0, 0], [0, -9], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [-4, 0], [12, -12], [0, 0], [0, 0], [0, 6], [0, 0], [10, -10], [0, 0], [0, 0], [-8, 0]], 'ap': [[0, 0], [0, 0], [0, 3], [-1, 1], [6, -6], [0, 4], [-3, 0], [2, 0], [0, -6], [-6, 6], [0, 4], [-7, 0], [0, -3], [1, -1], [9, -9], [6, 0], [0, 9], [10, -10], [0, 4], [0, 0], [2, 0], [1, -1], [3, -3], [-6, 0], [10, -10], [6, -6], [0, -14], [-6, 0], [11, 0], [0, -12], [-7, 0], [0, 12], [-12, 12], [0, 22], [0, -6], [19, -19], [0, -14], [-7, 0], [0, -3], [-18, 18], [-12, 0], [20, 0], [18, -18], [0, 13], [18, 0], [20, 0], [0, 4], [-8, 8], [-12, 12], [0, 4], [-24, 0], [0, -12], [-8, 8], [-27, 0], [0, -6], [-12, 12], [-3, 0], [2, 0], [-17, 17], [30, -30], [0, -14], [0, 33], [2, 0], [0, 9], [-8, 8], [18, -18], [1, -1], [0, 13], [0, 0], [-8, 8], [-21, 21], [-6, 0], [10, -10], [0, -23], [29, 0], [0, -15], [6, -6], [2, 0], [0, 12], [0, 4], [0, -21], [10, -10], [-12, 0], [-16, 0], [28, -28], [18, -18], [0, 0], [-26, 26], [-15, 15], [0, -5], [-24, 0], [-21, 21], [-16, 0], [0, 24], [0, -5], [27, 0], [0, 39], [-39, 0], [-16, 0], [-43, 0], [1, -1], [-12, 0], [0, 0], [-18, 18], [0, -23], [-16, 0], [12, -12], [-15, 0], [0, 18], [-8, 8], [0, 40], [-34, 0], [0, -30], [10, -10], [-7, 0], [-30, 30], [0, -14], [24, 0], [0, -24], [-24, 24], [0, -32], [-26, 26], [-18, 18], [-12, 0], [-44, 44], [-36, 0], [1, -1], [-33, 0], [10, -10], [0, -32], [20, 0], [0, 6], [0, 4], [47, 0], [0, -51], [0, 40], [-21, 0], [0, -14], [0, 6], [6, 0], [-52, 0], [-36, 36], [0, -5], [36, 0], [2, 0], [21, -21], [-44, 44], [-3, 3], [0, 22], [-6, 0], [0, 31], [18, 0], [-7, 0], [0, 21], [55, -55], [30, -30], [29, 0], [-27, 27], [-34, 0], [0, 27], [36, -36], [-54, 0], [0, 40], [21, 0], [0, -36], [-3, 3], [47, 0], [10, -10]], 'char_orbit_index': 6, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 18014742140420663, 'hecke_ring_character_values': [[407, [0, -1]], [325, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '567.2.f.e', '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': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 3]], 'conrey_index': 190, 'cusp_dim': 120, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 343630938679, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 8], 'label': '567.2.f', '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': 48, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 144, 'trace_bound': 10, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 24, 0, 0, -12, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 0, 48, 0, 0, 24, 0, 0, 60, 0, 0, -12, 0, 0, -120, 0, 0, -24, 0, 0, -36, 0, 0, 24, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 24, 0, 0, -12, 0, 0, 72, 0, 0, 0, 0, 0, 84, 0, 0, 24, 0, 0, 84, 0, 0, -36, 0, 0, -96, 0, 0, -48, 0, 0, 72, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, -12, 0, 0, -24, 0, 0, -72, 0, 0, 108, 0, 0, 0, 0, 0, -168, 0, 0, 108, 0, 0, -48, 0, 0, -144, 0, 0, -36, 0, 0, 84, 0, 0, -24, 0, 0, 48, 0, 0, 156, 0, 0, 168, 0, 0, -60, 0, 0, -36, 0, 0, 216, 0, 0, -24, 0, 0, 84, 0, 0, 0, 0, 0, 96, 0, 0, 12, 0, 0, -24, 0, 0, 24, 0, 0, -24, 0, 0, -144, 0, 0, -72, 0, 0, 120, 0, 0, 216, 0, 0, -120, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, -108, 0, 0, 312, 0, 0, -36, 0, 0, -144, 0, 0, -120, 0, 0, 60, 0, 0, -72, 0, 0, -168, 0, 0, 0, 0, 0, -72, 0, 0, 24, 0, 0, -72, 0, 0, 0, 0, 0, 288, 0, 0, -120, 0, 0, -144, 0, 0, -144, 0, 0, 120, 0, 0, 0, 0, 0, 120, 0, 0, -12, 0, 0, -48, 0, 0, 0, 0, 0, -204, 0, 0, 12, 0, 0, -144, 0, 0, 0, 0, 0, -72, 0, 0, 48, 0, 0, -84, 0, 0, -156, 0, 0, 288, 0, 0, 120, 0, 0, -24, 0, 0, -48, 0, 0, 48, 0, 0, -12, 0, 0, -216, 0, 0, -72, 0, 0, -12, 0, 0, 0, 0, 0, -108, 0, 0, 48, 0, 0, -336, 0, 0, 168, 0, 0, -72, 0, 0, 360, 0, 0, -48, 0, 0, 288, 0, 0, 96, 0, 0, 0, 0, 0, 216, 0, 0, 168, 0, 0, -24, 0, 0, 48, 0, 0, 192, 0, 0, 192, 0, 0, 132, 0, 0, 312, 0, 0, -48, 0, 0, -72, 0, 0, 0, 0, 0, -84, 0, 0, 120, 0, 0, -216, 0, 0, 192, 0, 0, -120, 0, 0, -480, 0, 0, 60, 0, 0, -108, 0, 0, 144, 0, 0, -216, 0, 0, 72, 0, 0, -312, 0, 0, -96, 0, 0, 12, 0, 0, -168, 0, 0, 120, 0, 0, -120, 0, 0, 192, 0, 0, 108, 0, 0, -156, 0, 0, 48, 0, 0, -96, 0, 0, 96, 0, 0, 240, 0, 0, -144, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 240, 0, 0, 12, 0, 0, -84, 0, 0, 0, 0, 0, 120, 0, 0, -48, 0, 0, 24, 0, 0, -12, 0, 0, 132, 0, 0, -648, 0, 0, 204, 0, 0, -36, 0, 0, -360, 0, 0, 240, 0, 0, -168, 0, 0, -312, 0, 0, 204, 0, 0, 228, 0, 0, -48, 0, 0, -72, 0, 0, 0, 0, 0, -504, 0, 0, 120, 0, 0, 216, 0, 0, 120, 0, 0, -108, 0, 0, 0, 0, 0, -24, 0, 0, 12, 0, 0, 120, 0, 0, 384, 0, 0, 132, 0, 0, -72, 0, 0, 0, 0, 0, -336, 0, 0, -72, 0, 0, 120, 0, 0, 228, 0, 0, -180, 0, 0, -264, 0, 0, 24, 0, 0, 36, 0, 0, 360, 0, 0, -48, 0, 0, 12, 0, 0, -264, 0, 0, -108, 0, 0, 0, 0, 0, -552, 0, 0, -216, 0, 0, -288, 0, 0, 456, 0, 0, 72, 0, 0, 120, 0, 0, 168, 0, 0, 192, 0, 0, -312, 0, 0, -240, 0, 0, -336, 0, 0, -132, 0, 0, 360, 0, 0, -12, 0, 0, 144, 0, 0, 192, 0, 0, 48, 0, 0, -276, 0, 0, -144, 0, 0, -36, 0, 0, -72, 0, 0, -72, 0, 0, -156, 0, 0, 156, 0, 0, -696, 0, 0, 96, 0, 0, 288, 0, 0, 72, 0, 0, 120, 0, 0, 180, 0, 0, 120, 0, 0, 0, 0, 0, 12, 0, 0, 432, 0, 0, -36, 0, 0, -72, 0, 0, 480, 0, 0, 240, 0, 0, 468, 0, 0, -72, 0, 0, 156, 0, 0, 0, 0, 0, 360, 0, 0, -84, 0, 0, 132, 0, 0, 528, 0, 0, -384, 0, 0, -36, 0, 0, 48, 0, 0, -96, 0, 0, -36, 0, 0, 552, 0, 0, 96, 0, 0, -36, 0, 0, 120, 0, 0, 180, 0, 0, -504, 0, 0, -216, 0, 0, -12, 0, 0, -180, 0, 0, -216, 0, 0, -132, 0, 0, 180, 0, 0, -72, 0, 0, -156, 0, 0, 12, 0, 0, 72, 0, 0, -60, 0, 0, 12, 0, 0, 96, 0, 0, -168, 0, 0, -48, 0, 0, -480, 0, 0, -72, 0, 0, 84, 0, 0, 48, 0, 0, -60, 0, 0, -48, 0, 0, -1008, 0, 0, -24, 0, 0, -504, 0, 0, 312, 0, 0, 204, 0, 0, -48, 0, 0, 288, 0, 0, -204, 0, 0, -84, 0, 0, -672, 0, 0, -84, 0, 0, -84, 0, 0, -432, 0, 0, 84, 0, 0, -156, 0, 0, 24, 0, 0, 60, 0, 0, -144, 0, 0, 696, 0, 0, -12, 0, 0, 240, 0, 0, 336, 0, 0, 192, 0, 0, 288, 0, 0, 240, 0, 0, -132, 0, 0, 96, 0, 0, 816, 0, 0, -12, 0, 0, 108, 0, 0, 312, 0, 0, -120, 0, 0, -168, 0, 0, -120, 0, 0, 276, 0, 0, -96, 0, 0, 408, 0, 0, 24, 0, 0, 288, 0, 0, 264, 0, 0, 120, 0, 0, 0, 0, 0, 456], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 387223
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '189.2.a.b', 'target_level': 189, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387224
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '189.2.a.c', 'target_level': 189, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387225
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '567.2.f.d', 'target_level': 567, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 387226
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '567.2.f.d', 'target_level': 567, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387227
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '567.2.f.e', 'target_level': 567, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 387228
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '567.2.f.e', 'target_level': 567, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387229
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1323.2.a.h', 'target_level': 1323, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 387230
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1323.2.a.l', 'target_level': 1323, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 387231
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3024.2.a.f', 'target_level': 3024, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 387232
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3024.2.a.y', 'target_level': 3024, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387233
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4725.2.a.i', 'target_level': 4725, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 387234
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '567.2.f.e', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4725.2.a.k', 'target_level': 4725, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1055925
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 2}
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id: 1055926
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 3}
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id: 1055927
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 5}
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id: 1055928
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 7}
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id: 1055929
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 11}
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id: 1055930
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 13}
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id: 1055931
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 17}
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id: 1055932
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 19}
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id: 1055933
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 23}
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id: 1055934
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 29}
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id: 1055935
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 31}
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id: 1055936
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 37}
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id: 1055937
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 41}
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id: 1055938
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 43}
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id: 1055939
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 47}
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id: 1055940
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 53}
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id: 1055941
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 59}
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id: 1055942
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 61}
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id: 1055943
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 67}
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id: 1055944
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 71}
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id: 1055945
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 73}
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id: 1055946
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 79}
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id: 1055947
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 83}
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id: 1055948
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 18014742140420663, 'p': 89}
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id: 1055949
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 18014742140420663, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 5, 'label': '567.2.f.e', '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: 40955671
{'hecke_orbit_code': 18014742140420663, 'n': 1, 'trace_an': 2}
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id: 40955672
{'hecke_orbit_code': 18014742140420663, 'n': 2, 'trace_an': 0}
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id: 40955673
{'hecke_orbit_code': 18014742140420663, 'n': 3, 'trace_an': 0}
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id: 40955674
{'hecke_orbit_code': 18014742140420663, 'n': 4, 'trace_an': 2}
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