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{'Nk2': 7488, 'analytic_conductor': 14.947995258383688, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [1872, 1, [703, 469, 209, 145], [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, [-4, 1]], [7, [-4, 1]], [11, [2, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953595728, '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': '1872.2.a.t', 'level': 1872, '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, 13], 'level_radical': 78, 'minimal_twist': '312.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+4q^{5}+4q^{7}-2q^{11}-q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/1872/t'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1872.2.a', 'trace_display': [0, 0, 4, 4], 'trace_hash': 132147649014782130, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.117', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [1, 0, 0, 0, 4, 0, 4, 0, 0, 0, -2, 0, -1, 0, 0, 0, 6, 0, -4, 0, 0, 0, 4, 0, 11, 0, 0, 0, 6, 0, -8, 0, 0, 0, 16, 0, -10, 0, 0, 0, 4, 0, 4, 0, 0, 0, -6, 0, 9, 0, 0, 0, -6, 0, -8, 0, 0, 0, -6, 0, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 10, 0, -2, 0, 0, 0, -8, 0, 0, 0, 0, 0, -10, 0, 24, 0, 0, 0, -8, 0, -4, 0, 0, 0, -16, 0, -10, 0, 0, 0, 14, 0, -16, 0, 0, 0, 8, 0, 10, 0, 0, 0, 10, 0, 16, 0, 0, 0, 24, 0, -7, 0, 0, 0, 24, 0, 8, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, 12, 0, 0, 0, 2, 0, 24, 0, 0, 0, -8, 0, 8, 0, 0, 0, -32, 0, -2, 0, 0, 0, 16, 0, 20, 0, 0, 0, 2, 0, 1, 0, 0, 0, 6, 0, 44, 0, 0, 0, 12, 0, -26, 0, 0, 0, -40, 0, -12, 0, 0, 0, 16, 0, 10, 0, 0, 0, -20, 0, 24, 0, 0, 0, 24, 0, 16, 0, 0, 0, 8, 0, -4, 0, 0, 0, 16, 0, -32, 0, 0, 0, -6, 0, 8, 0, 0, 0, -22, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [4], [0], [4], [0], [0], [0], [-2], [0], [-1], [0], [0], [0], [6], [0], [-4], [0], [0], [0], [4], [0], [11], [0], [0], [0], [6], [0], [-8], [0], [0], [0], [16], [0], [-10], [0], [0], [0], [4], [0], [4], [0], [0], [0], [-6], [0], [9], [0], [0], [0], [-6], [0], [-8], [0], [0], [0], [-6], [0], [-6], [0], [0], [0], [-4], [0], [0], [0], [0], [0], [10], [0], [-2], [0], [0], [0], [-8], [0], [0], [0], [0], [0], [-10], [0], [24], [0], [0], [0], [-8], [0], [-4], [0], [0], [0], [-16], [0], [-10], [0], [0], [0]], 'ap': [[0], [0], [4], [4], [-2], [-1], [6], [-4], [4], [6], [-8], [-10], [4], [4], [-6], [-6], [-6], [-6], [0], [10], [-2], [0], [-10], [-8], [-10], [14], [-16], [8], [10], [10], [8], [0], [-12], [12], [-8], [8], [-2], [20], [2], [6], [12], [-26], [16], [10], [-20], [24], [-4], [8], [-22], [-6], [2], [-6], [14], [-16], [-14], [-4], [-10], [-20], [-18], [4], [-4], [24], [-16], [20], [6], [-28], [-24], [-18], [12], [6], [4], [18], [24], [26], [-12], [-18], [-6], [22], [24], [-10], [0], [-22], [-2], [-2], [-40], [0], [0], [-26], [-36], [36], [-8], [6], [40], [24], [-24], [-28], [28], [18], [4], [-6], [-12], [32], [12], [2], [20], [34], [-18], [-32], [4], [-42], [-8], [30], [28], [-40], [-48], [-26], [-16], [0], [6], [-20], [38], [-30], [18], [-18], [8], [-38], [-14], [12], [8], [-14], [-16], [-22], [40], [-22], [36], [10], [24], [48], [-14], [-30], [28], [32], [-40], [-10], [-30], [-42], [-26], [18], [28], [-34], [-10], [42], [-12], [0], [-28], [32], [24], [20], [-50], [40], [18], [42], [-32], [12], [-24], [38], [32], [38], [-34], [6], [-54], [6], [-44], [6], [16], [-18], [-8], [24], [-64], [-14], [44], [44], [26], [32], [66], [42], [-34], [4], [30], [-30], [26], [46], [-44], [-40], [20], [-6], [50], [50], [-24], [40], [44], [32], [-14], [26], [26], [-30], [-16], [8], [0], [52], [-34], [58], [48], [-2], [6], [34], [-32], [-42], [66], [-24], [-10], [-4], [-16], [56], [-72], [6], [-50], [4], [8], [10], [30], [-20], [36], [30], [-68], [26], [-50], [72], [-36], [-24], [30], [-20], [40], [-50], [-24], [-60], [28], [34], [-44], [44], [-22], [-12], [22], [-10], [-18], [-34], [74], [-12], [-22], [-30], [-56], [60], [-30], [62], [64], [20], [36], [-60], [24], [-18], [2], [-16], [6], [56], [-2], [-28], [-54], [-18], [2], [24], [-48], [4], [24], [-50], [64], [0], [-34], [8], [0], [66], [-6], [84], [40], [-14], [46], [-54], [-64], [-6], [68], [64], [26], [-12], [-24], [36], [-52], [38], [-76], [14], [6], [34], [84], [44], [18], [-36], [58], [-26], [18], [6], [14], [-18], [20], [-38], [42], [16], [48], [-2], [52], [-72], [-48], [22], [-14], [30], [56], [-66], [68], [-2], [30], [-84], [86], [8], [-58], [-78], [40], [24], [68], [28], [-38], [12], [-54], [74], [-32], [46], [16], [8], [74], [-38], [82], [-38], [26], [22], [62], [6], [-60], [-54], [60], [10], [-92], [24], [10], [32], [20], [50], [82], [-40], [46], [-66], [-8], [66], [54], [-38], [-48], [-20], [4], [-48], [-28], [-2], [60], [42], [76], [4], [30], [72], [-10], [-28], [-70], [6], [76], [-90], [76], [-12], [14], [94], [20], [72], [-60], [64], [98], [40], [-56], [70], [50], [50], [12], [-100], [18], [-70], [2], [16], [-48], [-36], [-2], [14], [-30], [0], [-46], [48], [64], [-40], [-4], [96]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 85568392953595728, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1872.2.a.t', 'level': 1872, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 4, 5, 4, 4, 2, 4, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [35, 36, 37, 34, 38, 36, 32, 35], 'Nk2': 7488, 'analytic_conductor': 14.947995258383688, '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': [1872, 1, [703, 469, 209, 145], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 313, 'dim': 30, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33556304, 'hecke_orbit_dims': [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], 'label': '1872.2.a', 'level': 1872, '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, 13], 'level_radical': 78, 'mf_dim': 360, 'mf_new_dim': 30, 'num_forms': 25, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 672, 'trace_bound': 11, 'trace_display': [0, 0, 0, -2], 'traces': [30, 0, 0, 0, 0, 0, -2, 0, 0, 0, -10, 0, 0, 0, 0, 0, 4, 0, 14, 0, 0, 0, 8, 0, 38, 0, 0, 0, 16, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, 4, 0, 0, 0, -14, 0, 38, 0, 0, 0, 4, 0, 20, 0, 0, 0, -18, 0, -20, 0, 0, 0, 0, 0, -10, 0, 0, 0, 22, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 26, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, -36, 0, -20, 0, 0, 0, 4, 0, 56, 0, 0, 0, 36, 0, 8, 0, 0, 0, 24, 0, 88, 0, 0, 0, 20, 0, 26, 0, 0, 0, 24, 0, 16, 0, 0, 0, 24, 0, 52, 0, 0, 0, -20, 0, -32, 0, 0, 0, 10, 0, -16, 0, 0, 0, 24, 0, -10, 0, 0, 0, 12, 0, -8, 0, 0, 0, -8, 0, 50, 0, 0, 0, 18, 0, 30, 0, 0, 0, 44, 0, 18, 0, 0, 0, 28, 0, -40, 0, 0, 0, -44, 0, -28, 0, 0, 0, 28, 0, -4, 0, 0, 0, -40, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 64, 0, -36, 0, 0, 0, -4, 0, -62, 0, 0, 0, -94, 0, -32, 0, 0, 0, 0, 0, -32, 0, 0, 0, -74, 0, -68, 0, 0, 0, 64, 0, -6, 0, 0, 0, 40, 0, 64, 0, 0, 0, -48, 0, 16, 0, 0, 0, -12, 0, -72, 0, 0, 0, -32, 0, 22, 0, 0, 0, -30, 0, 4, 0, 0, 0, 20, 0, -96, 0, 0, 0, -28, 0, -2, 0, 0, 0, -48, 0, -68, 0, 0, 0, -24, 0, -16, 0, 0, 0, -32, 0, -30, 0, 0, 0, 32, 0, 44, 0, 0, 0, -16, 0, -76, 0, 0, 0, -44, 0, -16, 0, 0, 0, -16, 0, 46, 0, 0, 0, -108, 0, 4, 0, 0, 0, -20, 0, 68, 0, 0, 0, -72, 0, -16, 0, 0, 0, 20, 0, -32, 0, 0, 0, 26, 0, -54, 0, 0, 0, -24, 0, 12, 0, 0, 0, -100, 0, 16, 0, 0, 0, 4, 0, -2, 0, 0, 0, 78, 0, -48, 0, 0, 0, 8, 0, 8, 0, 0, 0, 128, 0, 16, 0, 0, 0, -36, 0, 6, 0, 0, 0, -148, 0, -60, 0, 0, 0, -52, 0, -124, 0, 0, 0, -24, 0, 8, 0, 0, 0, 40, 0, -60, 0, 0, 0, -34, 0, -48, 0, 0, 0, 0, 0, -16, 0, 0, 0, 32, 0, -88, 0, 0, 0, 44, 0, 52, 0, 0, 0, 20, 0, 28, 0, 0, 0, -48, 0, -2, 0, 0, 0, 8, 0, -100, 0, 0, 0, 64, 0, -46, 0, 0, 0, 90, 0, 8, 0, 0, 0, -64, 0, -190, 0, 0, 0, 148, 0, -40, 0, 0, 0, 96, 0, -90, 0, 0, 0, 132, 0, -64, 0, 0, 0, -48, 0, 148, 0, 0, 0, -24, 0, -44, 0, 0, 0, 20, 0, -44, 0, 0, 0, 44, 0, 46, 0, 0, 0, 0, 0, 40, 0, 0, 0, -122, 0, 32, 0, 0, 0, -12, 0, 32, 0, 0, 0, -180, 0, 16, 0, 0, 0, -80, 0, -16, 0, 0, 0, 156, 0, 8, 0, 0, 0, 88, 0, -36, 0, 0, 0, -16, 0, 60, 0, 0, 0, 4, 0, -132, 0, 0, 0, 50, 0, 20, 0, 0, 0, -36, 0, 44, 0, 0, 0, -68, 0, 36, 0, 0, 0, 88, 0, -52, 0, 0, 0, -30, 0, 32, 0, 0, 0, 68, 0, -54, 0, 0, 0, 12, 0, -18, 0, 0, 0, 0, 0, 38, 0, 0, 0, -136, 0, -4, 0, 0, 0, 16, 0, -98, 0, 0, 0, -128, 0, -44, 0, 0, 0, 96, 0, 136, 0, 0, 0, -196, 0, 8, 0, 0, 0, 56, 0, -176, 0, 0, 0, 4, 0, -36, 0, 0, 0, -60, 0, -228, 0, 0, 0, -42, 0, 56, 0, 0, 0, -8, 0, 54, 0, 0, 0, 152, 0, -48, 0, 0, 0, -56, 0, -12, 0, 0, 0, 244, 0, 96, 0, 0, 0, -16, 0, 20, 0, 0, 0, -168, 0, 168, 0, 0, 0, 144, 0, 152, 0, 0, 0, 12, 0, -16, 0, 0, 0, -20, 0, -22, 0, 0, 0, 62, 0, 16, 0, 0, 0, -48, 0, 208, 0, 0, 0, 56, 0, 20, 0, 0, 0, -140, 0, 256, 0, 0, 0, 34, 0, 12, 0, 0, 0, 64, 0, 14, 0, 0, 0, -76, 0, -20, 0, 0, 0, -40, 0, 266, 0, 0, 0, 180, 0, -32, 0, 0, 0, 8, 0, -28, 0, 0, 0, 124, 0, -104, 0, 0, 0, -60, 0, -26, 0, 0, 0, 276, 0, 8, 0, 0, 0, 80, 0, 40, 0, 0, 0, 22, 0, 132, 0, 0, 0, 88, 0, -164, 0, 0, 0, 106, 0, 98, 0, 0, 0, 0, 0, 206, 0, 0, 0, -168, 0, 136, 0, 0, 0, 28, 0, 36, 0, 0, 0, -226, 0, -8, 0, 0, 0, 8, 0, -46, 0, 0, 0, 300, 0, -8, 0, 0, 0, -32, 0, 156, 0, 0, 0, -28, 0, 104, 0, 0, 0, 68, 0, -96, 0, 0, 0, -108, 0, 120, 0, 0, 0, -16, 0, -28, 0, 0, 0, -76, 0, -68, 0, 0, 0, -136, 0, -180, 0, 0, 0, -42, 0, 80, 0, 0, 0, -44, 0, 214, 0, 0, 0, -8, 0, -36, 0, 0, 0, -96, 0, 112, 0, 0, 0, -130, 0, 0, 0, 0, 0, -104, 0, 400, 0, 0, 0, -228, 0, -30, 0, 0, 0, -136, 0, 130, 0, 0, 0, -232, 0, 40, 0, 0, 0, -92, 0, -236, 0, 0, 0, 146, 0, -92, 0, 0, 0, 136, 0, 276, 0, 0, 0, -72, 0, 28, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 830242
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '312.2.a.d', 'target_level': 312, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830243
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.a.a', 'target_level': 624, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830244
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '936.2.a.i', 'target_level': 936, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830245
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1872.2.a.t', 'target_level': 1872, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 830246
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2496.2.a.n', 'target_level': 2496, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830247
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2496.2.a.bd', 'target_level': 2496, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830248
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4056.2.a.s', 'target_level': 4056, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830249
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4056.2.c.j', 'target_level': 4056, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 830250
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7488.2.a.b', 'target_level': 7488, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 830251
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7488.2.a.e', 'target_level': 7488, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830252
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7800.2.a.j', 'target_level': 7800, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830253
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '1872.2.a.t', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '8112.2.a.o', 'target_level': 8112, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2267375
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 2}
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id: 2267376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 3}
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id: 2267377
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 5}
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id: 2267378
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 7}
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id: 2267379
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 11}
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id: 2267380
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 13}
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id: 2267381
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 17}
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id: 2267382
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 19}
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id: 2267383
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 23}
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id: 2267384
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 29}
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id: 2267385
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 31}
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id: 2267386
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 37}
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id: 2267387
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 41}
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id: 2267388
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 43}
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id: 2267389
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 47}
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id: 2267390
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 53}
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id: 2267391
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 59}
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id: 2267392
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 61}
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id: 2267393
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 67}
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id: 2267394
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 71}
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id: 2267395
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 73}
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id: 2267396
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 79}
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id: 2267397
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 83}
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id: 2267398
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 89}
-
id: 2267399
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 85568392953595728, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '1872.2.a.t', 'level': 1872, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 63580465
{'hecke_orbit_code': 85568392953595728, 'n': 1, 'trace_an': 1}
-
id: 63580466
{'hecke_orbit_code': 85568392953595728, 'n': 2, 'trace_an': 0}
-
id: 63580467
{'hecke_orbit_code': 85568392953595728, 'n': 3, 'trace_an': 0}
-
id: 63580468
{'hecke_orbit_code': 85568392953595728, 'n': 4, 'trace_an': 0}
-
id: 63580469
{'hecke_orbit_code': 85568392953595728, 'n': 5, 'trace_an': 4}
-
id: 63580470
{'hecke_orbit_code': 85568392953595728, 'n': 6, 'trace_an': 0}
-
id: 63580471
{'hecke_orbit_code': 85568392953595728, 'n': 7, 'trace_an': 4}
-
id: 63580472
{'hecke_orbit_code': 85568392953595728, 'n': 8, 'trace_an': 0}
-
id: 63580473
{'hecke_orbit_code': 85568392953595728, 'n': 9, 'trace_an': 0}
-
id: 63580474
{'hecke_orbit_code': 85568392953595728, 'n': 10, 'trace_an': 0}
-
id: 63580475
{'hecke_orbit_code': 85568392953595728, 'n': 11, 'trace_an': -2}
-
id: 63580476
{'hecke_orbit_code': 85568392953595728, 'n': 12, 'trace_an': 0}
-
id: 63580477
{'hecke_orbit_code': 85568392953595728, 'n': 13, 'trace_an': -1}
-
id: 63580478
{'hecke_orbit_code': 85568392953595728, 'n': 14, 'trace_an': 0}
-
id: 63580479
{'hecke_orbit_code': 85568392953595728, 'n': 15, 'trace_an': 0}
-
id: 63580480
{'hecke_orbit_code': 85568392953595728, 'n': 16, 'trace_an': 0}
-
id: 63580481
{'hecke_orbit_code': 85568392953595728, 'n': 17, 'trace_an': 6}
-
id: 63580482
{'hecke_orbit_code': 85568392953595728, 'n': 18, 'trace_an': 0}
-
id: 63580483
{'hecke_orbit_code': 85568392953595728, 'n': 19, 'trace_an': -4}
-
id: 63580484
{'hecke_orbit_code': 85568392953595728, 'n': 20, 'trace_an': 0}
-
id: 63580485
{'hecke_orbit_code': 85568392953595728, 'n': 21, 'trace_an': 0}
-
id: 63580486
{'hecke_orbit_code': 85568392953595728, 'n': 22, 'trace_an': 0}
-
id: 63580487
{'hecke_orbit_code': 85568392953595728, 'n': 23, 'trace_an': 4}
-
id: 63580488
{'hecke_orbit_code': 85568392953595728, 'n': 24, 'trace_an': 0}
-
id: 63580489
{'hecke_orbit_code': 85568392953595728, 'n': 25, 'trace_an': 11}
-
id: 63580490
{'hecke_orbit_code': 85568392953595728, 'n': 26, 'trace_an': 0}
-
id: 63580491
{'hecke_orbit_code': 85568392953595728, 'n': 27, 'trace_an': 0}
-
id: 63580492
{'hecke_orbit_code': 85568392953595728, 'n': 28, 'trace_an': 0}
-
id: 63580493
{'hecke_orbit_code': 85568392953595728, 'n': 29, 'trace_an': 6}
-
id: 63580494
{'hecke_orbit_code': 85568392953595728, 'n': 30, 'trace_an': 0}
-
id: 63580495
{'hecke_orbit_code': 85568392953595728, 'n': 31, 'trace_an': -8}
-
id: 63580496
{'hecke_orbit_code': 85568392953595728, 'n': 32, 'trace_an': 0}
-
id: 63580497
{'hecke_orbit_code': 85568392953595728, 'n': 33, 'trace_an': 0}
-
id: 63580498
{'hecke_orbit_code': 85568392953595728, 'n': 34, 'trace_an': 0}
-
id: 63580499
{'hecke_orbit_code': 85568392953595728, 'n': 35, 'trace_an': 16}
-
id: 63580500
{'hecke_orbit_code': 85568392953595728, 'n': 36, 'trace_an': 0}
-
id: 63580501
{'hecke_orbit_code': 85568392953595728, 'n': 37, 'trace_an': -10}
-
id: 63580502
{'hecke_orbit_code': 85568392953595728, 'n': 38, 'trace_an': 0}
-
id: 63580503
{'hecke_orbit_code': 85568392953595728, 'n': 39, 'trace_an': 0}
-
id: 63580504
{'hecke_orbit_code': 85568392953595728, 'n': 40, 'trace_an': 0}
-
id: 63580505
{'hecke_orbit_code': 85568392953595728, 'n': 41, 'trace_an': 4}
-
id: 63580506
{'hecke_orbit_code': 85568392953595728, 'n': 42, 'trace_an': 0}
-
id: 63580507
{'hecke_orbit_code': 85568392953595728, 'n': 43, 'trace_an': 4}
-
id: 63580508
{'hecke_orbit_code': 85568392953595728, 'n': 44, 'trace_an': 0}
-
id: 63580509
{'hecke_orbit_code': 85568392953595728, 'n': 45, 'trace_an': 0}
-
id: 63580510
{'hecke_orbit_code': 85568392953595728, 'n': 46, 'trace_an': 0}
-
id: 63580511
{'hecke_orbit_code': 85568392953595728, 'n': 47, 'trace_an': -6}
-
id: 63580512
{'hecke_orbit_code': 85568392953595728, 'n': 48, 'trace_an': 0}
-
id: 63580513
{'hecke_orbit_code': 85568392953595728, 'n': 49, 'trace_an': 9}
-
id: 63580514
{'hecke_orbit_code': 85568392953595728, 'n': 50, 'trace_an': 0}
-
id: 63580515
{'hecke_orbit_code': 85568392953595728, 'n': 51, 'trace_an': 0}
-
id: 63580516
{'hecke_orbit_code': 85568392953595728, 'n': 52, 'trace_an': 0}
-
id: 63580517
{'hecke_orbit_code': 85568392953595728, 'n': 53, 'trace_an': -6}
-
id: 63580518
{'hecke_orbit_code': 85568392953595728, 'n': 54, 'trace_an': 0}
-
id: 63580519
{'hecke_orbit_code': 85568392953595728, 'n': 55, 'trace_an': -8}
-
id: 63580520
{'hecke_orbit_code': 85568392953595728, 'n': 56, 'trace_an': 0}
-
id: 63580521
{'hecke_orbit_code': 85568392953595728, 'n': 57, 'trace_an': 0}
-
id: 63580522
{'hecke_orbit_code': 85568392953595728, 'n': 58, 'trace_an': 0}
-
id: 63580523
{'hecke_orbit_code': 85568392953595728, 'n': 59, 'trace_an': -6}
-
id: 63580524
{'hecke_orbit_code': 85568392953595728, 'n': 60, 'trace_an': 0}
-
id: 63580525
{'hecke_orbit_code': 85568392953595728, 'n': 61, 'trace_an': -6}
-
id: 63580526
{'hecke_orbit_code': 85568392953595728, 'n': 62, 'trace_an': 0}
-
id: 63580527
{'hecke_orbit_code': 85568392953595728, 'n': 63, 'trace_an': 0}
-
id: 63580528
{'hecke_orbit_code': 85568392953595728, 'n': 64, 'trace_an': 0}
-
id: 63580529
{'hecke_orbit_code': 85568392953595728, 'n': 65, 'trace_an': -4}
-
id: 63580530
{'hecke_orbit_code': 85568392953595728, 'n': 66, 'trace_an': 0}
-
id: 63580531
{'hecke_orbit_code': 85568392953595728, 'n': 67, 'trace_an': 0}
-
id: 63580532
{'hecke_orbit_code': 85568392953595728, 'n': 68, 'trace_an': 0}
-
id: 63580533
{'hecke_orbit_code': 85568392953595728, 'n': 69, 'trace_an': 0}
-
id: 63580534
{'hecke_orbit_code': 85568392953595728, 'n': 70, 'trace_an': 0}
-
id: 63580535
{'hecke_orbit_code': 85568392953595728, 'n': 71, 'trace_an': 10}
-
id: 63580536
{'hecke_orbit_code': 85568392953595728, 'n': 72, 'trace_an': 0}
-
id: 63580537
{'hecke_orbit_code': 85568392953595728, 'n': 73, 'trace_an': -2}
-
id: 63580538
{'hecke_orbit_code': 85568392953595728, 'n': 74, 'trace_an': 0}
-
id: 63580539
{'hecke_orbit_code': 85568392953595728, 'n': 75, 'trace_an': 0}
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