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{'Nk2': 10816, 'analytic_conductor': 21.591548706554217, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [13, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2704, 1, [2367, 677, 1185], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, -1, -2, 1]], [5, [-1, 3, 4, 1]], [7, [13, -4, -3, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717819536, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2704.2.a.z', 'level': 2704, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'minimal_twist': '169.2.a.b', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{3}+(-1-\\beta _{1})q^{5}+(2-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2704.2.a', 'trace_display': [0, 2, -4, 3], 'trace_hash': 1613857184841409519, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.904', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 0, 0], [1, -1, 0], [0, 0, 0], [-1, -1, 0], [0, 0, 0], [2, -1, 2], [0, 0, 0], [0, -2, 1], [0, 0, 0], [3, -1, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [1, 0, 1], [0, 0, 0], [1, -2, 3], [0, 0, 0], [0, 1, -3], [0, 0, 0], [2, -3, 1], [0, 0, 0], [1, 2, 0], [0, 0, 0], [-2, 2, 1], [0, 0, 0], [0, 1, 2], [0, 0, 0], [0, -3, -2], [0, 0, 0], [2, -3, -2], [0, 0, 0], [5, -4, 1], [0, 0, 0], [-2, -1, -3], [0, 0, 0], [4, -1, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-5, 6, -2], [0, 0, 0], [-3, -3, 1], [0, 0, 0], [3, 2, 0], [0, 0, 0], [7, -1, 2], [0, 0, 0], [-1, 0, 1], [0, 0, 0], [2, -3, 2], [0, 0, 0], [-3, 7, -3], [0, 0, 0], [-1, -2, 1], [0, 0, 0], [1, 1, -1], [0, 0, 0], [5, 0, -4], [0, 0, 0], [0, -1, -5], [0, 0, 0], [1, -2, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-1, 5, 1], [0, 0, 0], [-3, 1, -2], [0, 0, 0], [10, 0, 3], [0, 0, 0], [7, -3, 9], [0, 0, 0], [-7, 4, -2], [0, 0, 0], [6, -5, 5], [0, 0, 0], [-4, 8, -9], [0, 0, 0], [-4, 7, -4], [0, 0, 0], [4, 2, 7], [0, 0, 0], [0, 1, -4], [0, 0, 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[-23, 28, 32], [29, 2, 17], [-12, -5, -5], [-9, 3, -1], [12, 41, -3], [35, -33, 49], [-7, 0, 20], [15, -42, 31], [-41, -19, 5], [-26, 53, -36], [12, -22, 2], [5, -25, -32], [38, -40, 52], [-43, 23, 1], [7, 26, -9], [-11, 15, -19], [19, -23, 32], [-25, 21, 25], [3, 21, -26], [13, 12, -18], [6, 2, 1], [-1, -4, 11], [-1, -15, -39], [0, 3, 28], [7, 35, -21], [28, 20, -12], [-47, 31, -52], [-26, -20, 15], [48, -18, -22], [-28, 35, 9], [-1, 3, -36], [-37, 44, -17], [-27, 12, -20], [32, -26, 33], [-48, -16, -8], [-50, 32, -51], [-34, 18, -48], [-14, -27, 6], [-4, 6, 23], [-22, 17, -41], [-18, 58, -8], [7, -14, 35], [32, -19, 55], [-20, -31, 21], [6, -43, 25], [5, -7, -36], [4, -21, 42], [-8, -8, 24], [-43, -25, 1], [-8, -8, 39], [-6, 47, -3], [44, -6, 19], [-29, -26, 16], [23, -21, 8], [-20, -27, 12], [25, -20, 22], [28, 0, 13], [3, -48, -4], [8, -25, 29], [33, -1, -15], [-31, 51, -14], [-57, 26, -48], [-20, 17, -18], [21, -7, 0], [8, -19, 23], [-50, -26, 7], [9, 2, 16], [-65, 25, -16], [-14, -29, -9], [0, -14, 16], [-44, 20, -29], [-9, -21, -4], [44, -26, 48], [53, -32, 43], [6, -35, -7], [-5, 12, -14], [-31, -4, 30], [-3, -2, -19], [12, -24, 10], [-14, 11, -26], [-34, 27, -19], [26, -6, 19], [76, -30, 53], [20, -15, -27], [-29, 17, 8], [-14, -36, 5], [-45, 18, -16], [34, 23, -14], [-2, -30, -10], [-5, 0, 25], [38, -38, 39], [-15, 14, 11], [19, -56, 7], [-22, 23, -21], [19, -62, 45], [27, 7, -20], [-44, 47, -52], [-15, 16, 21], [43, 0, -6], [-34, 18, -2], [25, -43, -22], [23, -16, -25], [41, -9, -14], [-38, 34, -7], [15, -45, 14], [-12, 8, -44], [13, -46, 20], [52, -38, 42], [5, 14, -12], [-42, -7, -14], [-18, -8, 3], [22, -48, 31], [-3, 38, -46], [-15, 0, -33], [-76, 6, -12], [42, -36, 40], [-21, 18, 43], [-11, -33, 38], [-2, -15, 32], [13, 46, 6], [16, -26, 28], [15, 19, -18], [-33, 2, 1], [41, -42, 31], [21, 9, 17], [24, 7, 20], [-10, 21, 31], [20, -43, 57], [-38, 21, -5], [-26, -20, 33], [34, -57, 28], [-51, 47, -14], [16, -26, 49], [-28, 22, -32], [-16, 23, -1], [34, -32, 10], [46, 21, 10], [-38, -3, 29], [-30, 14, 3], [-23, 21, -47], [30, -21, 9], [19, -49, -15], [-53, -17, 11], [0, 15, -6], [-34, -9, -2], [31, -52, 40], [-55, 7, -35], [-20, 16, 13], [1, 40, -6], [-50, 17, -42], [-49, 52, -55], [-39, -26, 13], [-27, -14, -26], [50, 28, -16], [26, 27, 5]], 'char_orbit_index': 1, 'field_poly': [1, -2, -1, 1], 'hecke_orbit_code': 112589990717819536, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '2704.2.a.z', 'level': 2704, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [18, 21, 18, 15], 'ALdims_eis_new': [0, 0, 5, 6], 'ALdims_eis_old': [20, 21, 16, 15], 'ALdims_old': [60, 62, 66, 63], 'Nk2': 10816, 'analytic_conductor': 21.591548706554217, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2704, 1, [2367, 677, 1185], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 323, 'dim': 72, 'eis_dim': 83, 'eis_new_dim': 11, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33557136, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '2704.2.a', 'level': 2704, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 406, 'mf_new_dim': 83, 'num_forms': 33, 'plus_dim': 33, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 728, 'trace_bound': 7, 'trace_display': [0, 0, 0, 2], 'traces': [72, 0, 0, 0, 0, 0, 2, 0, 64, 0, -2, 0, 0, 0, -8, 0, 4, 0, 2, 0, 8, 0, -8, 0, 56, 0, 0, 0, 0, 0, 14, 0, 8, 0, 0, 0, -8, 0, 0, 0, -4, 0, 4, 0, 8, 0, 10, 0, 44, 0, 28, 0, -20, 0, -12, 0, 0, 0, -18, 0, -16, 0, -6, 0, 0, 0, 26, 0, -8, 0, 6, 0, 20, 0, -20, 0, -8, 0, 40, 0, 24, 0, -22, 0, 0, 0, 28, 0, -4, 0, 0, 0, 16, 0, -24, 0, 4, 0, -34, 0, 8, 0, -48, 0, -20, 0, 32, 0, -8, 0, 24, 0, -20, 0, -8, 0, 0, 0, -52, 0, 0, 0, -8, 0, -24, 0, 28, 0, -24, 0, -12, 0, 8, 0, 48, 0, -20, 0, 8, 0, 8, 0, 0, 0, 16, 0, 16, 0, -24, 0, 26, 0, -12, 0, 116, 0, 12, 0, -52, 0, -8, 0, -34, 0, 12, 0, 26, 0, 0, 0, 74, 0, 16, 0, -2, 0, -48, 0, -8, 0, 24, 0, 60, 0, 8, 0, -68, 0, 24, 0, 24, 0, 20, 0, 0, 0, -40, 0, -16, 0, -8, 0, -36, 0, 16, 0, -100, 0, 12, 0, 56, 0, 8, 0, 48, 0, 40, 0, 24, 0, 0, 0, -82, 0, 24, 0, -38, 0, 32, 0, 124, 0, 12, 0, -64, 0, -24, 0, 38, 0, 20, 0, 20, 0, 16, 0, 0, 0, -24, 0, 60, 0, 0, 0, 32, 0, -4, 0, 72, 0, -28, 0, -40, 0, 8, 0, -24, 0, -32, 0, -6, 0, 0, 0, 90, 0, -24, 0, 22, 0, 36, 0, -12, 0, -100, 0, 72, 0, -52, 0, -96, 0, -64, 0, 4, 0, -8, 0, 0, 0, 16, 0, 8, 0, 16, 0, -2, 0, -56, 0, -76, 0, -32, 0, 168, 0, 16, 0, 44, 0, -92, 0, -4, 0, 0, 0, -104, 0, -48, 0, 18, 0, -64, 0, 36, 0, -12, 0, -64, 0, 32, 0, 76, 0, -40, 0, -24, 0, 16, 0, 0, 0, 20, 0, 16, 0, 24, 0, 66, 0, -40, 0, 120, 0, -4, 0, -60, 0, 12, 0, -76, 0, 16, 0, -16, 0, 0, 0, 98, 0, 72, 0, 38, 0, -48, 0, -56, 0, 56, 0, 80, 0, 32, 0, -16, 0, 48, 0, 8, 0, -20, 0, 0, 0, 16, 0, 28, 0, -52, 0, -64, 0, -116, 0, -44, 0, 4, 0, 52, 0, -8, 0, 66, 0, 84, 0, -36, 0, 0, 0, -74, 0, 12, 0, 8, 0, 96, 0, 36, 0, 20, 0, 0, 0, -24, 0, 104, 0, 60, 0, 20, 0, -56, 0, 0, 0, -44, 0, -12, 0, 64, 0, 82, 0, 0, 0, 96, 0, -44, 0, -72, 0, 0, 0, -50, 0, -148, 0, 10, 0, 0, 0, 104, 0, -80, 0, -2, 0, 72, 0, -8, 0, -32, 0, 88, 0, -24, 0, -86, 0, -48, 0, 20, 0, -32, 0, 0, 0, 32, 0, -332, 0, 64, 0, -40, 0, 56, 0, -80, 0, -64, 0, -260, 0, 0, 0, 68, 0, -148, 0, -10, 0, 0, 0, -72, 0, -56, 0, -66, 0, -64, 0, -332, 0, -124, 0, -88, 0, -124, 0, 20, 0, -48, 0, 64, 0, -16, 0, 0, 0, 72, 0, 76, 0, -104, 0, 2, 0, 28, 0, -224, 0, 12, 0, -52, 0, 20, 0, 0, 0, 144, 0, -44, 0, 0, 0, 50, 0, 8, 0, -24, 0, -68, 0, 32, 0, 24, 0, 12, 0, 44, 0, -102, 0, 88, 0, -340, 0, 24, 0, 0, 0, -96, 0, 200, 0, -44, 0, -74, 0, 64, 0, -20, 0, -36, 0, 40, 0, -16, 0, -22, 0, 36, 0, -56, 0, 0, 0, -98, 0, 84, 0, 18, 0, 72, 0, 16, 0, 80, 0, -404, 0, -8, 0, 88, 0, 84, 0, -40, 0, 24, 0, 0, 0, -24, 0, -4, 0, 8, 0, 20, 0, -4, 0, 160, 0, 136, 0, -4, 0, -48, 0, -82, 0, 116, 0, 56, 0, 0, 0, 42, 0, -164, 0, 40, 0, 112, 0, -4, 0, 68, 0, -256, 0, -48, 0, 60, 0, -64, 0, 28, 0, 16, 0, 0, 0, 24, 0, -100, 0, 56, 0, -40, 0, 124, 0, -108, 0, -92, 0, 228, 0, 16, 0, 8, 0, -112, 0, 86, 0, 0, 0, -34, 0, -24, 0, 42, 0, -112, 0, -8, 0, -112, 0, 32, 0, 260, 0, 112, 0, -108, 0, -280, 0, 40, 0, 0, 0, 36, 0, 8, 0, 0, 0, -14, 0, -92, 0, -28, 0, -12, 0, 80, 0, -24, 0, -26, 0, 28, 0, 60, 0, 0, 0, 72, 0, 284, 0, -4, 0, -116, 0, 12, 0, 44, 0, 160, 0, 4, 0, -102, 0, 88, 0, 76, 0, 56, 0, 0, 0, 32, 0, 80, 0, -32, 0, 30, 0, -40, 0, -364, 0, 8, 0, 16, 0, -32, 0, 74, 0, 8, 0, 72, 0, 0, 0, -94, 0, 104, 0, -72, 0, 120, 0, 252, 0, 4, 0, 32, 0, -8, 0, -74, 0, 72, 0, 56, 0, -24, 0, 0, 0, -84, 0, 92, 0, 104, 0, 24, 0, 20, 0, 0, 0, -36, 0, -76, 0, -8, 0, -18, 0, -152, 0, 0, 0, 0, 0, 12, 0, 68, 0, -48, 0, 128, 0, -392, 0, -72, 0, -36, 0, -8, 0, -80, 0, -104, 0, -16, 0, 16, 0, 0, 0, 144, 0, 24, 0, 36, 0, -54, 0, 112, 0, 36, 0, -16, 0, 64, 0, -32, 0, -32, 0, -124, 0, -82, 0, 0, 0, 8, 0, -100, 0, 0, 0, -96, 0, 44, 0, -140, 0, 0, 0, 84, 0, 30, 0, -96, 0, -92, 0, 24, 0, 0, 0, 20, 0, 92, 0, -160, 0, 34, 0, -8, 0, 316, 0, 68, 0, -312, 0, 24, 0, -24, 0, 136, 0, -48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 988525
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '169.2.a.b', 'target_level': 169, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988526
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '169.2.a.c', 'target_level': 169, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988527
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '169.2.b.b', 'target_level': 169, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 988528
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '169.2.c.b', 'target_level': 169, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 988529
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '169.2.c.c', 'target_level': 169, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 988530
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '169.2.e.b', 'target_level': 169, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 988531
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1521.2.a.o', 'target_level': 1521, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 988532
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1521.2.a.r', 'target_level': 1521, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988533
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1521.2.b.l', 'target_level': 1521, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 988534
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '2704.2.a.z', 'target_level': 2704, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 988535
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2704.2.a.ba', 'target_level': 2704, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 988536
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2704.2.f.o', 'target_level': 2704, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 988537
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '4225.2.a.bb', 'target_level': 4225, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 988538
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '4225.2.a.bg', 'target_level': 4225, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 988539
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8281.2.a.bf', 'target_level': 8281, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 988540
{'conductor': 364, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2704.2.a.z', 'source_level': 2704, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '8281.2.a.bj', 'target_level': 8281, 'twist_class_label': '169.2.a.b', 'twist_class_level': 169, 'twisting_char_label': '364.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2805300
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 112589990717819536, 'p': 2}
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id: 2805301
{'charpoly_factorization': [[[1, -1, -2, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 3}
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id: 2805302
{'charpoly_factorization': [[[-1, 3, 4, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 5}
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id: 2805303
{'charpoly_factorization': [[[13, -4, -3, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 7}
-
id: 2805304
{'charpoly_factorization': [[[-13, 19, -8, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 11}
-
id: 2805305
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 112589990717819536, 'p': 13}
-
id: 2805306
{'charpoly_factorization': [[[13, -15, 2, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 17}
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id: 2805307
{'charpoly_factorization': [[[1, -11, -4, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 19}
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id: 2805308
{'charpoly_factorization': [[[13, -1, -5, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 23}
-
id: 2805309
{'charpoly_factorization': [[[83, -44, 1, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 29}
-
id: 2805310
{'charpoly_factorization': [[[167, -36, -5, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 31}
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id: 2805311
{'charpoly_factorization': [[[-29, 41, -12, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 37}
-
id: 2805312
{'charpoly_factorization': [[[49, -49, 7, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 41}
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id: 2805313
{'charpoly_factorization': [[[-13, 40, 13, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 43}
-
id: 2805314
{'charpoly_factorization': [[[-167, 101, -18, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 47}
-
id: 2805315
{'charpoly_factorization': [[[337, -86, -1, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 53}
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id: 2805316
{'charpoly_factorization': [[[-1, 83, -19, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 59}
-
id: 2805317
{'charpoly_factorization': [[[239, -67, -4, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 61}
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id: 2805318
{'charpoly_factorization': [[[-41, -72, -1, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 67}
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id: 2805319
{'charpoly_factorization': [[[-547, 222, -27, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 71}
-
id: 2805320
{'charpoly_factorization': [[[911, -120, -9, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 73}
-
id: 2805321
{'charpoly_factorization': [[[-127, -162, -5, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 79}
-
id: 2805322
{'charpoly_factorization': [[[-203, -140, -7, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 83}
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id: 2805323
{'charpoly_factorization': [[[-281, -74, 11, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 89}
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id: 2805324
{'charpoly_factorization': [[[301, -84, -7, 1], 1]], 'hecke_orbit_code': 112589990717819536, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '2704.2.a.z', 'level': 2704, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66743803
{'hecke_orbit_code': 112589990717819536, 'n': 1, 'trace_an': 3}
-
id: 66743804
{'hecke_orbit_code': 112589990717819536, 'n': 2, 'trace_an': 0}
-
id: 66743805
{'hecke_orbit_code': 112589990717819536, 'n': 3, 'trace_an': 2}
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id: 66743806
{'hecke_orbit_code': 112589990717819536, 'n': 4, 'trace_an': 0}
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id: 66743807
{'hecke_orbit_code': 112589990717819536, 'n': 5, 'trace_an': -4}
-
id: 66743808
{'hecke_orbit_code': 112589990717819536, 'n': 6, 'trace_an': 0}
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id: 66743809
{'hecke_orbit_code': 112589990717819536, 'n': 7, 'trace_an': 3}
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id: 66743810
{'hecke_orbit_code': 112589990717819536, 'n': 8, 'trace_an': 0}
-
id: 66743811
{'hecke_orbit_code': 112589990717819536, 'n': 9, 'trace_an': -3}
-
id: 66743812
{'hecke_orbit_code': 112589990717819536, 'n': 10, 'trace_an': 0}
-
id: 66743813
{'hecke_orbit_code': 112589990717819536, 'n': 11, 'trace_an': 8}
-
id: 66743814
{'hecke_orbit_code': 112589990717819536, 'n': 12, 'trace_an': 0}
-
id: 66743815
{'hecke_orbit_code': 112589990717819536, 'n': 13, 'trace_an': 0}
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id: 66743816
{'hecke_orbit_code': 112589990717819536, 'n': 14, 'trace_an': 0}
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id: 66743817
{'hecke_orbit_code': 112589990717819536, 'n': 15, 'trace_an': 2}
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id: 66743818
{'hecke_orbit_code': 112589990717819536, 'n': 16, 'trace_an': 0}
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id: 66743819
{'hecke_orbit_code': 112589990717819536, 'n': 17, 'trace_an': -2}
-
id: 66743820
{'hecke_orbit_code': 112589990717819536, 'n': 18, 'trace_an': 0}
-
id: 66743821
{'hecke_orbit_code': 112589990717819536, 'n': 19, 'trace_an': 4}
-
id: 66743822
{'hecke_orbit_code': 112589990717819536, 'n': 20, 'trace_an': 0}
-
id: 66743823
{'hecke_orbit_code': 112589990717819536, 'n': 21, 'trace_an': 2}
-
id: 66743824
{'hecke_orbit_code': 112589990717819536, 'n': 22, 'trace_an': 0}
-
id: 66743825
{'hecke_orbit_code': 112589990717819536, 'n': 23, 'trace_an': 5}
-
id: 66743826
{'hecke_orbit_code': 112589990717819536, 'n': 24, 'trace_an': 0}
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id: 66743827
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