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{'Nk2': 6912, 'analytic_conductor': 13.79814946927725, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [1728, 1, [703, 325, 1217], [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, [4, 1]], [7, [-3, 1]], [11, [-4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660926656, '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': '1728.2.a.b', 'level': 1728, 'level_is_powerful': True, '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], 'level_radical': 6, 'minimal_twist': '216.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-4q^{5}+3q^{7}+4q^{11}-q^{13}-4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/1728/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1728.2.a', 'trace_display': [0, 0, -4, 3], 'trace_hash': 940221153794668045, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [-4], [0], [3], [0], [0], [0], [4], [0], [-1], [0], [0], [0], [-4], [0], [-1], [0], [0], [0], [-4], [0], [11], [0], [0], [0], [0], [0], [4], [0], [0], [0], [-12], [0], [9], [0], [0], [0], [0], [0], [-8], [0], [0], [0], [12], [0], [2], [0], [0], [0], [8], [0], [-16], [0], [0], [0], [4], [0], [5], [0], [0], [0], [4], [0], [11], [0], [0], [0], [-8], [0], [1], [0], [0], [0], [12], [0], [5], [0], [0], [0], [8], [0], [16], [0], [0], [0], [12], [0], [-3], [0], [0], [0], [4], [0], [5], [0], [0], [0]], 'ap': [[0], [0], [-4], [3], [4], [-1], [-4], [-1], [-4], [0], [4], [9], [0], [-8], [12], [8], [4], [5], [11], [-8], [1], [5], [8], [12], [5], [0], [-1], [12], [14], [12], [-4], [-16], [-12], [9], [-8], [1], [2], [-15], [12], [0], [24], [-21], [-12], [23], [12], [-25], [13], [-4], [-24], [-10], [16], [-8], [-15], [-16], [8], [8], [4], [25], [-10], [32], [-16], [-12], [0], [-12], [3], [24], [17], [-3], [-24], [33], [8], [-12], [23], [1], [11], [0], [-4], [-14], [24], [-39], [-12], [-17], [28], [-14], [-36], [8], [4], [38], [-28], [19], [-12], [40], [11], [12], [0], [-36], [12], [-28], [-29], [-9], [-7], [-28], [-32], [28], [-33], [-13], [28], [40], [0], [10], [-5], [-35], [36], [-17], [-7], [40], [-24], [-32], [-24], [-24], [13], [19], [44], [16], [-40], [36], [7], [8], [-12], [-2], [32], [-4], [-3], [31], [-4], [47], [24], [7], [-16], [-40], [40], [12], [25], [20], [35], [-24], [1], [24], [-27], [44], [33], [-28], [-7], [-56], [-5], [-16], [20], [-40], [51], [-12], [-36], [-36], [-59], [12], [-24], [-12], [-25], [26], [29], [20], [-24], [-30], [-20], [37], [31], [-40], [-16], [-60], [29], [34], [-35], [56], [6], [-12], [-48], [24], [-37], [45], [13], [12], [25], [-24], [-11], [-28], [60], [20], [19], [59], [-4], [24], [4], [-23], [43], [-35], [-48], [-24], [1], [-12], [-28], [-5], [39], [60], [53], [20], [16], [-49], [4], [-20], [-24], [24], [-29], [-36], [-48], [-20], [12], [-11], [12], [12], [63], [4], [-9], [-8], [-68], [-44], [45], [4], [5], [-28], [8], [-40], [24], [23], [17], [65], [-36], [52], [5], [0], [-32], [16], [30], [-12], [-68], [-35], [-36], [-36], [-29], [-32], [0], [10], [-13], [12], [-49], [21], [40], [-16], [-44], [-40], [56], [4], [5], [29], [-74], [53], [-2], [-17], [-12], [34], [-38], [-80], [44], [44], [32], [25], [77], [68], [-31], [-72], [43], [-28], [-4], [-48], [40], [0], [-30], [32], [-5], [-36], [48], [-1], [-13], [64], [52], [-32], [45], [14], [12], [-41], [-32], [49], [12], [48], [-16], [-47], [68], [-10], [-12], [-84], [62], [36], [-53], [43], [40], [-76], [40], [21], [24], [72], [20], [-60], [-1], [48], [33], [-48], [48], [-24], [-55], [36], [-58], [-36], [41], [-12], [24], [-75], [-16], [-20], [-42], [-80], [24], [28], [15], [-55], [-64], [60], [25], [20], [8], [80], [-80], [-24], [13], [48], [24], [-76], [37], [15], [36], [-61], [55], [-52], [-75], [-32], [-16], [83], [31], [36], [-96], [7], [-24], [53], [60], [-64], [33], [-72], [31], [-72], [-60], [67], [-95], [84], [-2], [-64], [36], [63], [60], [1], [-15], [84], [-40], [-16], [34], [-48], [44], [32], [-40], [68], [-61], [-72], [-103], [60], [-46], [-40], [-76], [1], [81], [20], [-84], [-23], [0], [-104], [-20], [-38], [-68], [-16], [106], [64], [52], [-72], [-24], [-16]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660926656, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1728.2.a.b', 'level': 1728, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 9, 9, 7], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18], 'ALdims_old': [54, 57, 57, 53], 'Nk2': 6912, 'analytic_conductor': 13.79814946927725, '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': [1728, 1, [703, 325, 1217], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 253, 'dim': 32, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33556160, '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, 2, 2], 'label': '1728.2.a', 'level': 1728, 'level_is_powerful': True, '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], 'level_radical': 6, 'mf_dim': 324, 'mf_new_dim': 32, 'num_forms': 30, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 576, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 796306
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '216.2.a.a', 'target_level': 216, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 796307
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '216.2.a.d', 'target_level': 216, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 796308
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '432.2.a.a', 'target_level': 432, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 796309
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '432.2.a.h', 'target_level': 432, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 796310
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '648.2.i.a', 'target_level': 648, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 796311
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '648.2.i.h', 'target_level': 648, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 796312
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1296.2.i.a', 'target_level': 1296, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 796313
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1296.2.i.q', 'target_level': 1296, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 796314
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.2.a.a', 'target_level': 1728, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 796315
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1728.2.a.b', 'target_level': 1728, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 796316
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1728.2.a.ba', 'target_level': 1728, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 796317
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '1728.2.a.bb', 'target_level': 1728, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 796318
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '5400.2.a.bn', 'target_level': 5400, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 796319
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '5400.2.a.bp', 'target_level': 5400, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 796320
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5400.2.f.e', 'target_level': 5400, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 796321
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1728.2.a.b', 'source_level': 1728, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5400.2.f.v', 'target_level': 5400, 'twist_class_label': '216.2.a.a', 'twist_class_level': 216, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2159300
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 2}
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id: 2159301
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 3}
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id: 2159302
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 5}
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id: 2159303
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 7}
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id: 2159304
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 11}
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id: 2159305
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 13}
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id: 2159306
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 17}
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id: 2159307
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 19}
-
id: 2159308
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 23}
-
id: 2159309
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 29}
-
id: 2159310
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 31}
-
id: 2159311
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 37}
-
id: 2159312
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 41}
-
id: 2159313
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 43}
-
id: 2159314
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 47}
-
id: 2159315
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 53}
-
id: 2159316
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 59}
-
id: 2159317
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 61}
-
id: 2159318
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 67}
-
id: 2159319
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 71}
-
id: 2159320
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 73}
-
id: 2159321
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 79}
-
id: 2159322
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 83}
-
id: 2159323
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 89}
-
id: 2159324
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660926656, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1728.2.a.b', 'level': 1728, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 16464078
{'hecke_orbit_code': 4503599660926656, 'n': 1, 'trace_an': 1}
-
id: 16464079
{'hecke_orbit_code': 4503599660926656, 'n': 2, 'trace_an': 0}
-
id: 16464080
{'hecke_orbit_code': 4503599660926656, 'n': 3, 'trace_an': 0}
-
id: 16464081
{'hecke_orbit_code': 4503599660926656, 'n': 4, 'trace_an': 0}
-
id: 16464082
{'hecke_orbit_code': 4503599660926656, 'n': 5, 'trace_an': -4}
-
id: 16464083
{'hecke_orbit_code': 4503599660926656, 'n': 6, 'trace_an': 0}
-
id: 16464084
{'hecke_orbit_code': 4503599660926656, 'n': 7, 'trace_an': 3}
-
id: 16464085
{'hecke_orbit_code': 4503599660926656, 'n': 8, 'trace_an': 0}
-
id: 16464086
{'hecke_orbit_code': 4503599660926656, 'n': 9, 'trace_an': 0}
-
id: 16464087
{'hecke_orbit_code': 4503599660926656, 'n': 10, 'trace_an': 0}
-
id: 16464088
{'hecke_orbit_code': 4503599660926656, 'n': 11, 'trace_an': 4}
-
id: 16464089
{'hecke_orbit_code': 4503599660926656, 'n': 12, 'trace_an': 0}
-
id: 16464090
{'hecke_orbit_code': 4503599660926656, 'n': 13, 'trace_an': -1}
-
id: 16464091
{'hecke_orbit_code': 4503599660926656, 'n': 14, 'trace_an': 0}
-
id: 16464092
{'hecke_orbit_code': 4503599660926656, 'n': 15, 'trace_an': 0}
-
id: 16464093
{'hecke_orbit_code': 4503599660926656, 'n': 16, 'trace_an': 0}
-
id: 16464094
{'hecke_orbit_code': 4503599660926656, 'n': 17, 'trace_an': -4}
-
id: 16464095
{'hecke_orbit_code': 4503599660926656, 'n': 18, 'trace_an': 0}
-
id: 16464096
{'hecke_orbit_code': 4503599660926656, 'n': 19, 'trace_an': -1}
-
id: 16464097
{'hecke_orbit_code': 4503599660926656, 'n': 20, 'trace_an': 0}
-
id: 16464098
{'hecke_orbit_code': 4503599660926656, 'n': 21, 'trace_an': 0}
-
id: 16464099
{'hecke_orbit_code': 4503599660926656, 'n': 22, 'trace_an': 0}
-
id: 16464100
{'hecke_orbit_code': 4503599660926656, 'n': 23, 'trace_an': -4}
-
id: 16464101
{'hecke_orbit_code': 4503599660926656, 'n': 24, 'trace_an': 0}
-
id: 16464102
{'hecke_orbit_code': 4503599660926656, 'n': 25, 'trace_an': 11}
-
id: 16464103
{'hecke_orbit_code': 4503599660926656, 'n': 26, 'trace_an': 0}
-
id: 16464104
{'hecke_orbit_code': 4503599660926656, 'n': 27, 'trace_an': 0}
-
id: 16464105
{'hecke_orbit_code': 4503599660926656, 'n': 28, 'trace_an': 0}
-
id: 16464106
{'hecke_orbit_code': 4503599660926656, 'n': 29, 'trace_an': 0}
-
id: 16464107
{'hecke_orbit_code': 4503599660926656, 'n': 30, 'trace_an': 0}
-
id: 16464108
{'hecke_orbit_code': 4503599660926656, 'n': 31, 'trace_an': 4}
-
id: 16464109
{'hecke_orbit_code': 4503599660926656, 'n': 32, 'trace_an': 0}
-
id: 16464110
{'hecke_orbit_code': 4503599660926656, 'n': 33, 'trace_an': 0}
-
id: 16464111
{'hecke_orbit_code': 4503599660926656, 'n': 34, 'trace_an': 0}
-
id: 16464112
{'hecke_orbit_code': 4503599660926656, 'n': 35, 'trace_an': -12}
-
id: 16464113
{'hecke_orbit_code': 4503599660926656, 'n': 36, 'trace_an': 0}
-
id: 16464114
{'hecke_orbit_code': 4503599660926656, 'n': 37, 'trace_an': 9}
-
id: 16464115
{'hecke_orbit_code': 4503599660926656, 'n': 38, 'trace_an': 0}
-
id: 16464116
{'hecke_orbit_code': 4503599660926656, 'n': 39, 'trace_an': 0}
-
id: 16464117
{'hecke_orbit_code': 4503599660926656, 'n': 40, 'trace_an': 0}
-
id: 16464118
{'hecke_orbit_code': 4503599660926656, 'n': 41, 'trace_an': 0}
-
id: 16464119
{'hecke_orbit_code': 4503599660926656, 'n': 42, 'trace_an': 0}
-
id: 16464120
{'hecke_orbit_code': 4503599660926656, 'n': 43, 'trace_an': -8}
-
id: 16464121
{'hecke_orbit_code': 4503599660926656, 'n': 44, 'trace_an': 0}
-
id: 16464122
{'hecke_orbit_code': 4503599660926656, 'n': 45, 'trace_an': 0}
-
id: 16464123
{'hecke_orbit_code': 4503599660926656, 'n': 46, 'trace_an': 0}
-
id: 16464124
{'hecke_orbit_code': 4503599660926656, 'n': 47, 'trace_an': 12}
-
id: 16464125
{'hecke_orbit_code': 4503599660926656, 'n': 48, 'trace_an': 0}
-
id: 16464126
{'hecke_orbit_code': 4503599660926656, 'n': 49, 'trace_an': 2}
-
id: 16464127
{'hecke_orbit_code': 4503599660926656, 'n': 50, 'trace_an': 0}
-
id: 16464128
{'hecke_orbit_code': 4503599660926656, 'n': 51, 'trace_an': 0}
-
id: 16464129
{'hecke_orbit_code': 4503599660926656, 'n': 52, 'trace_an': 0}
-
id: 16464130
{'hecke_orbit_code': 4503599660926656, 'n': 53, 'trace_an': 8}
-
id: 16464131
{'hecke_orbit_code': 4503599660926656, 'n': 54, 'trace_an': 0}
-
id: 16464132
{'hecke_orbit_code': 4503599660926656, 'n': 55, 'trace_an': -16}
-
id: 16464133
{'hecke_orbit_code': 4503599660926656, 'n': 56, 'trace_an': 0}
-
id: 16464134
{'hecke_orbit_code': 4503599660926656, 'n': 57, 'trace_an': 0}
-
id: 16464135
{'hecke_orbit_code': 4503599660926656, 'n': 58, 'trace_an': 0}
-
id: 16464136
{'hecke_orbit_code': 4503599660926656, 'n': 59, 'trace_an': 4}
-
id: 16464137
{'hecke_orbit_code': 4503599660926656, 'n': 60, 'trace_an': 0}
-
id: 16464138
{'hecke_orbit_code': 4503599660926656, 'n': 61, 'trace_an': 5}
-
id: 16464139
{'hecke_orbit_code': 4503599660926656, 'n': 62, 'trace_an': 0}
-
id: 16464140
{'hecke_orbit_code': 4503599660926656, 'n': 63, 'trace_an': 0}
-
id: 16464141
{'hecke_orbit_code': 4503599660926656, 'n': 64, 'trace_an': 0}
-
id: 16464142
{'hecke_orbit_code': 4503599660926656, 'n': 65, 'trace_an': 4}
-
id: 16464143
{'hecke_orbit_code': 4503599660926656, 'n': 66, 'trace_an': 0}
-
id: 16464144
{'hecke_orbit_code': 4503599660926656, 'n': 67, 'trace_an': 11}
-
id: 16464145
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