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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, [0, 1]], [7, [2, 1]], [11, [0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052520272, '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.i', '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': '156.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{7}+q^{13}+6q^{17}-2q^{19}-5q^{25}+\\cdots', 'related_objects': ['EllipticCurve/Q/1872/i'], '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, 0, -2], 'trace_hash': 2017154523077616463, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.928', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.169', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.743', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, 'traces': [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, -2, 0, 0, 0, 0, 0, -5, 0, 0, 0, 6, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 12, 0, 4, 0, 0, 0, 0, 0, -3, 0, 0, 0, -6, 0, 0, 0, 0, 0, 12, 0, 2, 0, 0, 0, 0, 0, 10, 0, 0, 0, 12, 0, 14, 0, 0, 0, 0, 0, -8, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -10, 0, 0, 0, -18, 0, 16, 0, 0, 0, -12, 0, 14, 0, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, -11, 0, 0, 0, 0, 0, 4, 0, 0, 0, 12, 0, 4, 0, 0, 0, 12, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -14, 0, 0, 0, -24, 0, 1, 0, 0, 0, 6, 0, 10, 0, 0, 0, 12, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 24, 0, -20, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, -26, 0, 0, 0, 24, 0, 14, 0, 0, 0, -6, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [1], [0], [0], [0], [6], [0], [-2], [0], [0], [0], [0], [0], [-5], [0], [0], [0], [6], [0], [-2], [0], [0], [0], [0], [0], [2], [0], [0], [0], [12], [0], [4], [0], [0], [0], [0], [0], [-3], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [12], [0], [2], [0], [0], [0], [0], [0], [10], [0], [0], [0], [12], [0], [14], [0], [0], [0], [0], [0], [-8], [0], [0], [0], [12], [0], [0], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [-10], [0], [0], [0]], 'ap': [[0], [0], [0], [-2], [0], [1], [6], [-2], [0], [6], [-2], [2], [12], [4], [0], [-6], [12], [2], [10], [12], [14], [-8], [12], [0], [-10], [-18], [16], [-12], [14], [-6], [4], [12], [12], [16], [-12], [10], [2], [-14], [-24], [6], [12], [2], [0], [2], [24], [-20], [4], [-26], [24], [14], [-6], [-12], [-10], [12], [-6], [-24], [-18], [-26], [-10], [12], [16], [12], [-2], [24], [-22], [24], [10], [2], [-12], [-22], [-12], [-24], [-20], [14], [-26], [24], [-30], [-22], [-24], [-10], [-12], [-34], [24], [14], [-8], [-12], [0], [38], [0], [22], [36], [-12], [-2], [12], [-14], [-24], [0], [-30], [16], [-10], [16], [12], [12], [18], [40], [2], [-12], [0], [-48], [26], [4], [-22], [36], [22], [10], [-18], [-14], [-24], [30], [-36], [2], [-10], [-6], [-24], [-14], [42], [-10], [0], [-44], [38], [-2], [12], [-32], [2], [12], [-22], [-12], [-26], [18], [-6], [22], [12], [40], [48], [2], [36], [-22], [42], [-44], [0], [50], [42], [16], [24], [-8], [48], [16], [36], [-34], [12], [-36], [18], [-50], [12], [-24], [60], [52], [-10], [-10], [30], [48], [50], [-24], [14], [40], [6], [-50], [12], [16], [-58], [-26], [-12], [50], [-24], [48], [-6], [26], [46], [14], [48], [-34], [-36], [-32], [-60], [-12], [42], [50], [62], [-24], [-24], [-24], [-44], [-58], [-34], [-60], [18], [-2], [-60], [-24], [40], [14], [-54], [-56], [-24], [-24], [-46], [-8], [30], [12], [36], [-58], [-50], [0], [46], [-60], [62], [6], [0], [-20], [-36], [74], [-32], [58], [54], [16], [-12], [14], [-36], [36], [48], [60], [-56], [40], [26], [24], [24], [-2], [-60], [-26], [-24], [-58], [-60], [60], [-70], [6], [-48], [38], [-26], [-54], [2], [-44], [36], [-10], [14], [-48], [-20], [-24], [60], [-50], [-42], [-46], [10], [-10], [40], [-70], [-38], [-24], [-46], [-22], [12], [24], [-50], [-72], [50], [22], [-48], [-34], [36], [34], [-54], [42], [-36], [-48], [12], [-46], [-54], [28], [-30], [12], [46], [-22], [48], [-56], [-36], [-80], [62], [36], [14], [-36], [38], [72], [-24], [-30], [4], [48], [50], [-24], [-72], [38], [6], [-68], [50], [-6], [10], [24], [62], [-38], [10], [-24], [30], [62], [30], [-56], [-48], [-74], [12], [50], [-36], [-58], [16], [26], [42], [12], [-32], [-24], [36], [38], [82], [0], [18], [-38], [38], [84], [-44], [-22], [42], [-48], [-72], [-6], [0], [26], [6], [-72], [-24], [52], [38], [-48], [34], [-34], [-36], [-44], [24], [-54], [40], [-34], [84], [-48], [2], [-42], [86], [60], [36], [-2], [-96], [-86], [12], [82], [-70], [-2], [24], [-10], [84], [0], [28], [72], [-10], [34], [-18], [-68], [-24], [26], [-90], [-26], [-96], [-72], [40], [62], [24], [-74], [-48], [2], [-6], [84], [100], [2], [-30], [84], [-8], [96], [-96], [-18], [26], [-36], [84], [-94], [-60], [36], [48], [-38], [-24]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 36028797052520272, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1872.2.a.i', '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: 830037
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '156.2.a.b', 'target_level': 156, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830038
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '468.2.a.c', 'target_level': 468, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830039
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '624.2.a.b', 'target_level': 624, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830040
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1872.2.a.i', 'target_level': 1872, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 830041
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2028.2.a.e', 'target_level': 2028, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830042
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2028.2.b.d', 'target_level': 2028, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 830043
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2028.2.i.b', 'target_level': 2028, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 830044
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2028.2.i.c', 'target_level': 2028, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 830045
{'conductor': 156, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2028.2.q.d', 'target_level': 2028, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 830046
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2496.2.a.h', 'target_level': 2496, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830047
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2496.2.a.v', 'target_level': 2496, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830048
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3900.2.a.a', 'target_level': 3900, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830049
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3900.2.h.e', 'target_level': 3900, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 830050
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4212.2.i.f', 'target_level': 4212, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830051
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4212.2.i.g', 'target_level': 4212, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830052
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6084.2.a.h', 'target_level': 6084, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830053
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '6084.2.b.a', 'target_level': 6084, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830054
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '7488.2.a.bb', 'target_level': 7488, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830055
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '7488.2.a.bf', 'target_level': 7488, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 830056
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '7644.2.a.a', 'target_level': 7644, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 830057
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '1872.2.a.i', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '8112.2.a.i', 'target_level': 8112, 'twist_class_label': '156.2.a.b', 'twist_class_level': 156, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2267050
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 2}
-
id: 2267051
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 3}
-
id: 2267052
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 5}
-
id: 2267053
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 7}
-
id: 2267054
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 11}
-
id: 2267055
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 13}
-
id: 2267056
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 17}
-
id: 2267057
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 19}
-
id: 2267058
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 23}
-
id: 2267059
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 29}
-
id: 2267060
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 31}
-
id: 2267061
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 37}
-
id: 2267062
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 41}
-
id: 2267063
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 43}
-
id: 2267064
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 47}
-
id: 2267065
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 53}
-
id: 2267066
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 59}
-
id: 2267067
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 61}
-
id: 2267068
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 67}
-
id: 2267069
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 71}
-
id: 2267070
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 73}
-
id: 2267071
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 79}
-
id: 2267072
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 83}
-
id: 2267073
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 89}
-
id: 2267074
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 36028797052520272, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '1872.2.a.i', 'level': 1872, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50456263
{'hecke_orbit_code': 36028797052520272, 'n': 1, 'trace_an': 1}
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id: 50456264
{'hecke_orbit_code': 36028797052520272, 'n': 2, 'trace_an': 0}
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id: 50456265
{'hecke_orbit_code': 36028797052520272, 'n': 3, 'trace_an': 0}
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id: 50456266
{'hecke_orbit_code': 36028797052520272, 'n': 4, 'trace_an': 0}
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id: 50456267
{'hecke_orbit_code': 36028797052520272, 'n': 5, 'trace_an': 0}
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id: 50456268
{'hecke_orbit_code': 36028797052520272, 'n': 6, 'trace_an': 0}
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id: 50456269
{'hecke_orbit_code': 36028797052520272, 'n': 7, 'trace_an': -2}
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id: 50456270
{'hecke_orbit_code': 36028797052520272, 'n': 8, 'trace_an': 0}
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