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{'Nk2': 16128, 'analytic_conductor': 32.19568209498025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 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': [4032, 1, [127, 3781, 1793, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [11, [2, 1]], [13, [-2, 1]], [17, [4, 1]], [19, [-4, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071486400, 'hecke_ring_generator_nbound': 1, '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': '4032.2.a.q', 'level': 4032, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '672.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{7}-2q^{11}+2q^{13}-4q^{17}+4q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/4032/q'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4032.2.a', 'trace_display': [0, 0, 0, -1], 'trace_hash': 428450459886369601, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.025', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [-2], [0], [2], [0], [0], [0], [-4], [0], [4], [0], [0], [0], [6], [0], [-5], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [0], [0], [6], [0], [0], [0], [-8], [0], [8], [0], [0], [0], [4], [0], [1], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [0], [0], [14], [0], [0], [0], [0], [0], [-4], [0], [0], [0], [2], [0], [-2], [0], [0], [0], [2], [0], [4], [0], [0], [0], [12], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [6], [0], [0], [0]], 'ap': [[0], [0], [0], [-1], [-2], [2], [-4], [4], [6], [-2], [0], [6], [-8], [8], [4], [-6], [0], [14], [-4], [2], [-2], [4], [12], [0], [6], [12], [-8], [6], [18], [-18], [12], [20], [18], [-12], [10], [16], [-2], [-4], [12], [-12], [10], [-14], [10], [-26], [2], [24], [24], [-16], [-8], [2], [26], [-26], [22], [0], [8], [14], [16], [-32], [-10], [2], [4], [28], [28], [28], [-14], [-14], [-16], [26], [-30], [-10], [36], [10], [8], [-14], [16], [8], [-26], [-18], [-14], [14], [8], [-10], [18], [2], [-24], [-22], [6], [10], [-36], [-4], [32], [-36], [40], [-6], [-40], [24], [16], [12], [28], [14], [20], [-22], [-16], [10], [-20], [10], [24], [4], [-38], [18], [-40], [-22], [-22], [-28], [20], [-22], [-4], [-12], [46], [6], [30], [-34], [12], [-30], [20], [-26], [26], [-48], [-8], [-6], [-36], [-6], [-16], [10], [-40], [-46], [-12], [-28], [-12], [-50], [4], [-30], [-4], [-42], [50], [4], [30], [40], [4], [6], [2], [12], [56], [12], [16], [-14], [32], [40], [-30], [56], [14], [-26], [-52], [-28], [-54], [32], [-16], [14], [-34], [52], [-50], [30], [42], [-10], [8], [-36], [-36], [14], [-24], [-26], [-28], [-44], [14], [-12], [14], [-4], [-62], [28], [-10], [-40], [-34], [22], [32], [28], [-18], [60], [-2], [-26], [48], [-28], [58], [-8], [18], [-50], [-20], [12], [24], [-34], [-26], [-28], [18], [-40], [-8], [-12], [12], [10], [-16], [20], [-66], [46], [26], [-16], [30], [64], [20], [6], [-16], [54], [64], [-6], [-14], [20], [32], [-18], [12], [32], [22], [42], [50], [24], [74], [36], [-32], [14], [-32], [-36], [40], [-56], [28], [54], [2], [20], [-38], [14], [60], [30], [-2], [-60], [-12], [58], [-68], [-6], [10], [-66], [-12], [12], [-46], [-44], [-52], [-50], [-26], [40], [30], [-56], [38], [80], [-10], [30], [14], [24], [56], [-12], [48], [62], [28], [18], [-46], [-38], [-40], [-40], [-54], [84], [-6], [40], [-38], [20], [32], [0], [-48], [52], [-78], [-18], [-20], [70], [60], [74], [-6], [18], [-54], [-26], [72], [-74], [26], [-32], [78], [-2], [-28], [30], [86], [-22], [60], [22], [20], [-16], [54], [78], [52], [-28], [42], [30], [50], [-50], [56], [24], [44], [32], [-14], [56], [38], [40], [34], [-14], [32], [32], [62], [-74], [-38], [40], [-88], [76], [-92], [-42], [-38], [24], [50], [12], [-16], [84], [14], [18], [-62], [-40], [82], [-18], [-28], [22], [56], [92], [-18], [66], [-12], [18], [90], [-80], [94], [-28], [22], [-38], [76], [-42], [-20], [-18], [-16], [-42], [-76], [-80], [-88], [-62], [-4], [60], [-82], [16], [-26], [-60], [-70], [-46], [8], [-28], [12], [-50], [-2], [-66], [68], [24], [72], [64], [62], [-34], [20], [-104], [-94], [6], [-6], [-32], [-42], [56], [-42], [32], [-44], [28], [94], [-50], [-22], [-84], [-62], [-36], [58], [-30], [20], [92]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 72057594071486400, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4032.2.a.q', 'level': 4032, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 8, 9, 8, 6, 4, 9, 10], 'Nk2': 16128, 'analytic_conductor': 32.19568209498025, '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': [4032, 1, [127, 3781, 1793, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 721, 'dim': 60, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 19], 'hecke_orbit_code': 33558464, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '4032.2.a', 'level': 4032, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 816, 'mf_new_dim': 60, 'num_forms': 50, 'plus_dim': 27, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 1536, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1182844
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '672.2.a.c', 'target_level': 672, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1182845
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '672.2.a.g', 'target_level': 672, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1182846
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1344.2.a.e', 'target_level': 1344, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1182847
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1344.2.a.p', 'target_level': 1344, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1182848
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2016.2.a.d', 'target_level': 2016, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1182849
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2016.2.a.i', 'target_level': 2016, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1182850
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4032.2.a.q', 'target_level': 4032, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1182851
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4032.2.a.x', 'target_level': 4032, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1182852
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4704.2.a.k', 'target_level': 4704, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1182853
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4704.2.a.z', 'target_level': 4704, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1182854
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '5376.2.c.j', 'target_level': 5376, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1182855
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '5376.2.c.y', 'target_level': 5376, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1182856
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '9408.2.a.w', 'target_level': 9408, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1182857
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4032.2.a.q', 'source_level': 4032, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '9408.2.a.ch', 'target_level': 9408, 'twist_class_label': '672.2.a.c', 'twist_class_level': 672, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3476950
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 2}
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id: 3476951
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 3}
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id: 3476952
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 5}
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id: 3476953
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 7}
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id: 3476954
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 11}
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id: 3476955
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 13}
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id: 3476956
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 17}
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id: 3476957
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 19}
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id: 3476958
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 23}
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id: 3476959
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 29}
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id: 3476960
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 31}
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id: 3476961
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 37}
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id: 3476962
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 41}
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id: 3476963
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 43}
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id: 3476964
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 47}
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id: 3476965
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 53}
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id: 3476966
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 59}
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id: 3476967
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 61}
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id: 3476968
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 67}
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id: 3476969
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 71}
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id: 3476970
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 73}
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id: 3476971
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 79}
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id: 3476972
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 83}
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id: 3476973
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 89}
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id: 3476974
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071486400, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '4032.2.a.q', 'level': 4032, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 61455835
{'hecke_orbit_code': 72057594071486400, 'n': 1, 'trace_an': 1}
-
id: 61455836
{'hecke_orbit_code': 72057594071486400, 'n': 2, 'trace_an': 0}
-
id: 61455837
{'hecke_orbit_code': 72057594071486400, 'n': 3, 'trace_an': 0}
-
id: 61455838
{'hecke_orbit_code': 72057594071486400, 'n': 4, 'trace_an': 0}
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id: 61455839
{'hecke_orbit_code': 72057594071486400, 'n': 5, 'trace_an': 0}
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id: 61455840
{'hecke_orbit_code': 72057594071486400, 'n': 6, 'trace_an': 0}
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id: 61455841
{'hecke_orbit_code': 72057594071486400, 'n': 7, 'trace_an': -1}
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id: 61455842
{'hecke_orbit_code': 72057594071486400, 'n': 8, 'trace_an': 0}
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id: 61455843
{'hecke_orbit_code': 72057594071486400, 'n': 9, 'trace_an': 0}
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id: 61455844
{'hecke_orbit_code': 72057594071486400, 'n': 10, 'trace_an': 0}
-
id: 61455845
{'hecke_orbit_code': 72057594071486400, 'n': 11, 'trace_an': -2}
-
id: 61455846
{'hecke_orbit_code': 72057594071486400, 'n': 12, 'trace_an': 0}
-
id: 61455847
{'hecke_orbit_code': 72057594071486400, 'n': 13, 'trace_an': 2}
-
id: 61455848
{'hecke_orbit_code': 72057594071486400, 'n': 14, 'trace_an': 0}
-
id: 61455849
{'hecke_orbit_code': 72057594071486400, 'n': 15, 'trace_an': 0}
-
id: 61455850
{'hecke_orbit_code': 72057594071486400, 'n': 16, 'trace_an': 0}
-
id: 61455851
{'hecke_orbit_code': 72057594071486400, 'n': 17, 'trace_an': -4}
-
id: 61455852
{'hecke_orbit_code': 72057594071486400, 'n': 18, 'trace_an': 0}
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