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mf_newforms • Show schema
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{'Nk2': 7448, 'analytic_conductor': 14.868144856362408, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, -1], [19, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1862, 1, [1179, 1275], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[3, [1, 1]], [5, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660926790, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1862.2.a.b', 'level': 1862, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'minimal_twist': '38.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}-2q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/1862/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1862.2.a', 'trace_display': [-1, -1, 0, 0], 'trace_hash': 563332161525697383, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.999', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.091', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.973', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.222', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [-1], [1], [0], [1], [0], [-1], [-2], [0], [-6], [-1], [-5], [0], [0], [1], [-3], [2], [-1], [0], [0], [6], [3], [1], [-5], [5], [5], [0], [9], [0], [4], [-1], [6], [3], [0], [-2], [2], [1], [5], [0], [0], [0], [8], [-6], [0], [-3], [0], [-1], [0], [5], [3], [-5], [-3], [-5], [0], [0], [1], [-9], [-9], [0], [10], [-4], [0], [1], [0], [-6], [5], [-3], [-3], [0], [-6], [2], [7], [-2], [5], [-1], [0], [-5], [-10], [0], [1], [0], [6], [0], [0], [-8], [-9], [6], [12], [0], [0], [3], [-4], [0], [0], [1], [10], [0], [12], [-5]], 'ap': [[-1], [-1], [0], [0], [-6], [-5], [-3], [-1], [3], [9], [4], [2], [0], [8], [0], [-3], [-9], [10], [5], [-6], [7], [-10], [6], [12], [10], [-18], [-14], [-9], [11], [6], [2], [0], [-9], [4], [0], [-10], [22], [20], [-12], [-6], [0], [-2], [3], [14], [0], [-11], [5], [-26], [15], [22], [-6], [-21], [-8], [-6], [-12], [24], [6], [-11], [8], [0], [22], [21], [-20], [21], [19], [-9], [-1], [-4], [18], [10], [15], [21], [28], [23], [-7], [-18], [18], [-20], [0], [-32], [12], [17], [6], [-2], [28], [-18], [-18], [17], [12], [-4], [-18], [-36], [2], [-36], [-4], [21], [-30], [36], [-11], [2], [44], [24], [12], [-24], [-4], [-11], [12], [30], [-24], [28], [22], [2], [-6], [10], [-16], [6], [22], [-27], [24], [-45], [13], [44], [33], [36], [10], [12], [-10], [-39], [37], [-32], [-16], [-36], [-40], [2], [21], [-5], [-51], [31], [39], [9], [-11], [0], [41], [33], [-11], [48], [46], [12], [-14], [-18], [23], [18], [-34], [42], [-37], [48], [-7], [-33], [7], [-21], [-48], [30], [32], [-12], [-12], [30], [20], [-8], [20], [24], [39], [-5], [0], [-1], [-32], [-30], [8], [30], [-56], [-8], [53], [33], [-22], [-48], [51], [6], [-61], [-8], [-58], [-27], [34], [-36], [56], [-51], [-12], [-12], [41], [44], [-3], [27], [30], [-8], [-5], [28], [6], [48], [-47], [-15], [-3], [67], [29], [24], [-28], [-27], [-60], [46], [23], [-30], [18], [18], [-58], [-14], [18], [-61], [-27], [62], [-66], [-42], [10], [66], [14], [-29], [-40], [-30], [-26], [39], [58], [72], [18], [12], [-12], [-74], [31], [-43], [-36], [60], [16], [60], [-4], [-57], [-58], [69], [-57], [-62], [12], [-30], [2], [28], [42], [-38], [-28], [60], [-32], [7], [-66], [-17], [-45], [-3], [-13], [66], [-5], [47], [55], [5], [-14], [-29], [6], [53], [20], [0], [66], [23], [-27], [-17], [4], [24], [-79], [-6], [19], [18], [66], [-36], [66], [-60], [-46], [12], [-26], [-6], [-3], [46], [-14], [39], [-25], [69], [-4], [-34], [81], [-23], [-24], [20], [-48], [30], [90], [-4], [-24], [16], [54], [-18], [37], [78], [37], [23], [39], [-70], [-9], [-2], [-7], [73], [24], [-12], [80], [-9], [1], [-30], [74], [48], [47], [-24], [49], [43], [71], [-57], [15], [-10], [-27], [84], [-2], [-37], [66], [72], [40], [2], [48], [-8], [-22], [-72], [9], [-48], [-33], [-54], [8], [90], [42], [-15], [-74], [44], [42], [74], [38], [90], [61], [-9], [-39], [4], [-16], [45], [72], [-38], [3], [-44], [78], [-30], [65], [-66], [-5], [42], [17], [4], [-34], [-24], [-82], [-87], [-54], [10], [36], [14], [-74], [-48], [68], [-72], [-14], [66], [-94], [72], [-6], [-11], [-82], [84], [-23], [24], [64], [54], [-27], [62], [77], [-36], [6], [28], [-51], [-48], [42], [-83], [-15], [69], [-2], [-87], [21], [3], [88], [21]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660926790, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1862.2.a.b', 'level': 1862, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [7, 1], [19, 1]], 9, 2], [[[2, -1], [7, -1], [19, -1]], 11, 4], [[[2, 1], [7, -1], [19, -1]], 7, 3], [[[2, 1], [7, -1], [19, 1]], 10, 5], [[[2, 1], [7, 1], [19, -1]], 8, 3], [[[2, -1], [7, -1], [19, 1]], 5, 3], [[[2, -1], [7, 1], [19, -1]], 5, 2], [[[2, 1], [7, 1], [19, 1]], 6, 2]], 'ALdims': [6, 8, 10, 7, 9, 5, 5, 11], 'Nk2': 7448, 'analytic_conductor': 14.868144856362408, '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': [1862, 1, [1179, 1275], [1, 1]], 'conrey_index': 1, 'cusp_dim': 265, 'dim': 61, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33556294, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5], 'label': '1862.2.a', 'level': 1862, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'mf_dim': 296, 'mf_new_dim': 61, 'num_forms': 24, 'plus_dim': 23, 'prim_orbit_index': 1, 'relative_dim': 61, 'sturm_bound': 560, 'trace_bound': 19, 'trace_display': [-1, -4, -2, 0], 'traces': [61, -1, -4, 61, -2, 6, 0, -1, 67, -2, 4, -4, -10, 0, 4, 61, 0, 3, 1, -2, 0, 4, 6, 6, 47, 8, 8, 0, 14, 12, -20, -1, 32, -18, 0, 67, -14, 3, 34, -2, 22, 0, 4, 4, 10, 12, 16, -4, 0, -39, 56, -10, -10, 30, 40, 0, -2, -20, -4, 4, 2, 28, 0, 61, 16, 20, 4, 0, 28, 0, 12, 3, -12, -38, 12, 1, 0, 20, 12, -2, 85, 6, 16, 0, -8, 32, 18, 4, -22, -14, 0, 6, 4, -16, 2, 6, -30, 0, -24, 47, -2, 54, -48, 8, 0, -28, 28, 8, -10, 0, -20, 0, -22, -4, -28, 14, 26, 6, 0, 12, 53, -10, -48, -20, -12, 0, 12, -1, -36, -72, -24, 32, 0, 10, -92, -18, -88, -54, -32, 0, -128, 16, -56, 67, -32, -42, 0, -14, -2, 2, 40, 3, -30, 0, -160, 34, 50, -16, -22, -2, 0, 23, 12, 22, -56, 36, 40, 0, 93, -56, -3, 4, 42, -36, 0, 4, -10, -14, 36, 10, -54, 0, 52, 12, -4, 68, 36, 16, 0, -2, -98, -4, 14, -2, 92, 0, -34, 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mf_twists_nf • Show schema
Hide schema
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id: 828913
{'conductor': 7, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '38.2.a.a', 'target_level': 38, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 828914
{'conductor': 28, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '304.2.a.c', 'target_level': 304, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 828915
{'conductor': 21, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '342.2.a.e', 'target_level': 342, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 828916
{'conductor': 133, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '722.2.a.e', 'target_level': 722, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '133.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 828917
{'conductor': 133, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '722.2.c.c', 'target_level': 722, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '133.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 828918
{'conductor': 133, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '722.2.c.e', 'target_level': 722, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '133.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 828919
{'conductor': 133, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '722.2.e.e', 'target_level': 722, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '133.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 828920
{'conductor': 133, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '722.2.e.f', 'target_level': 722, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '133.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 828921
{'conductor': 35, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '950.2.a.d', 'target_level': 950, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 828922
{'conductor': 35, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '950.2.b.b', 'target_level': 950, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 828923
{'conductor': 56, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1216.2.a.e', 'target_level': 1216, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 828924
{'conductor': 56, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1216.2.a.m', 'target_level': 1216, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 828925
{'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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1862.2.a.b', 'target_level': 1862, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 828926
{'conductor': 84, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2736.2.a.n', 'target_level': 2736, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 828927
{'conductor': 77, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '4598.2.a.p', 'target_level': 4598, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 828928
{'conductor': 532, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5776.2.a.m', 'target_level': 5776, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '532.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 828929
{'conductor': 91, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6422.2.a.h', 'target_level': 6422, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '91.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 828930
{'conductor': 399, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6498.2.a.f', 'target_level': 6498, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '399.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 828931
{'conductor': 140, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '7600.2.a.n', 'target_level': 7600, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 828932
{'conductor': 105, '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': '1862.2.a.b', 'source_level': 1862, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '8550.2.a.m', 'target_level': 8550, 'twist_class_label': '38.2.a.a', 'twist_class_level': 38, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2261475
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 2}
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id: 2261476
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 3}
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id: 2261477
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 5}
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id: 2261478
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 7}
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id: 2261479
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 11}
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id: 2261480
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 13}
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id: 2261481
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 17}
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id: 2261482
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 19}
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id: 2261483
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 23}
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id: 2261484
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 29}
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id: 2261485
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 31}
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id: 2261486
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 37}
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id: 2261487
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 41}
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id: 2261488
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 43}
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id: 2261489
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 47}
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id: 2261490
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 53}
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id: 2261491
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 59}
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id: 2261492
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 61}
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id: 2261493
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 67}
-
id: 2261494
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 71}
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id: 2261495
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 73}
-
id: 2261496
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 79}
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id: 2261497
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 83}
-
id: 2261498
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 89}
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id: 2261499
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660926790, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1862.2.a.b', 'level': 1862, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63946000
{'hecke_orbit_code': 4503599660926790, 'n': 1, 'trace_an': 1}
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id: 63946001
{'hecke_orbit_code': 4503599660926790, 'n': 2, 'trace_an': -1}
-
id: 63946002
{'hecke_orbit_code': 4503599660926790, 'n': 3, 'trace_an': -1}
-
id: 63946003
{'hecke_orbit_code': 4503599660926790, 'n': 4, 'trace_an': 1}
-
id: 63946004
{'hecke_orbit_code': 4503599660926790, 'n': 5, 'trace_an': 0}
-
id: 63946005
{'hecke_orbit_code': 4503599660926790, 'n': 6, 'trace_an': 1}
-
id: 63946006
{'hecke_orbit_code': 4503599660926790, 'n': 7, 'trace_an': 0}
-
id: 63946007
{'hecke_orbit_code': 4503599660926790, 'n': 8, 'trace_an': -1}
-
id: 63946008
{'hecke_orbit_code': 4503599660926790, 'n': 9, 'trace_an': -2}
-
id: 63946009
{'hecke_orbit_code': 4503599660926790, 'n': 10, 'trace_an': 0}
-
id: 63946010
{'hecke_orbit_code': 4503599660926790, 'n': 11, 'trace_an': -6}
-
id: 63946011
{'hecke_orbit_code': 4503599660926790, 'n': 12, 'trace_an': -1}
-
id: 63946012
{'hecke_orbit_code': 4503599660926790, 'n': 13, 'trace_an': -5}
-
id: 63946013
{'hecke_orbit_code': 4503599660926790, 'n': 14, 'trace_an': 0}
-
id: 63946014
{'hecke_orbit_code': 4503599660926790, 'n': 15, 'trace_an': 0}
-
id: 63946015
{'hecke_orbit_code': 4503599660926790, 'n': 16, 'trace_an': 1}
-
id: 63946016
{'hecke_orbit_code': 4503599660926790, 'n': 17, 'trace_an': -3}
-
id: 63946017
{'hecke_orbit_code': 4503599660926790, 'n': 18, 'trace_an': 2}
-
id: 63946018
{'hecke_orbit_code': 4503599660926790, 'n': 19, 'trace_an': -1}
-
id: 63946019
{'hecke_orbit_code': 4503599660926790, 'n': 20, 'trace_an': 0}
-
id: 63946020
{'hecke_orbit_code': 4503599660926790, 'n': 21, 'trace_an': 0}
-
id: 63946021
{'hecke_orbit_code': 4503599660926790, 'n': 22, 'trace_an': 6}
-
id: 63946022
{'hecke_orbit_code': 4503599660926790, 'n': 23, 'trace_an': 3}
-
id: 63946023
{'hecke_orbit_code': 4503599660926790, 'n': 24, 'trace_an': 1}
-
id: 63946024
{'hecke_orbit_code': 4503599660926790, 'n': 25, 'trace_an': -5}
-
id: 63946025
{'hecke_orbit_code': 4503599660926790, 'n': 26, 'trace_an': 5}
-
id: 63946026
{'hecke_orbit_code': 4503599660926790, 'n': 27, 'trace_an': 5}
-
id: 63946027
{'hecke_orbit_code': 4503599660926790, 'n': 28, 'trace_an': 0}
-
id: 63946028
{'hecke_orbit_code': 4503599660926790, 'n': 29, 'trace_an': 9}
-
id: 63946029
{'hecke_orbit_code': 4503599660926790, 'n': 30, 'trace_an': 0}
-
id: 63946030
{'hecke_orbit_code': 4503599660926790, 'n': 31, 'trace_an': 4}
-
id: 63946031
{'hecke_orbit_code': 4503599660926790, 'n': 32, 'trace_an': -1}
-
id: 63946032
{'hecke_orbit_code': 4503599660926790, 'n': 33, 'trace_an': 6}
-
id: 63946033
{'hecke_orbit_code': 4503599660926790, 'n': 34, 'trace_an': 3}
-
id: 63946034
{'hecke_orbit_code': 4503599660926790, 'n': 35, 'trace_an': 0}
-
id: 63946035
{'hecke_orbit_code': 4503599660926790, 'n': 36, 'trace_an': -2}
-
id: 63946036
{'hecke_orbit_code': 4503599660926790, 'n': 37, 'trace_an': 2}
-
id: 63946037
{'hecke_orbit_code': 4503599660926790, 'n': 38, 'trace_an': 1}
-
id: 63946038
{'hecke_orbit_code': 4503599660926790, 'n': 39, 'trace_an': 5}
-
id: 63946039
{'hecke_orbit_code': 4503599660926790, 'n': 40, 'trace_an': 0}
-
id: 63946040
{'hecke_orbit_code': 4503599660926790, 'n': 41, 'trace_an': 0}
-
id: 63946041
{'hecke_orbit_code': 4503599660926790, 'n': 42, 'trace_an': 0}
-
id: 63946042
{'hecke_orbit_code': 4503599660926790, 'n': 43, 'trace_an': 8}
-
id: 63946043
{'hecke_orbit_code': 4503599660926790, 'n': 44, 'trace_an': -6}
-
id: 63946044
{'hecke_orbit_code': 4503599660926790, 'n': 45, 'trace_an': 0}
-
id: 63946045
{'hecke_orbit_code': 4503599660926790, 'n': 46, 'trace_an': -3}
-
id: 63946046
{'hecke_orbit_code': 4503599660926790, 'n': 47, 'trace_an': 0}
-
id: 63946047
{'hecke_orbit_code': 4503599660926790, 'n': 48, 'trace_an': -1}
-
id: 63946048
{'hecke_orbit_code': 4503599660926790, 'n': 49, 'trace_an': 0}
-
id: 63946049
{'hecke_orbit_code': 4503599660926790, 'n': 50, 'trace_an': 5}
-
id: 63946050
{'hecke_orbit_code': 4503599660926790, 'n': 51, 'trace_an': 3}
-
id: 63946051
{'hecke_orbit_code': 4503599660926790, 'n': 52, 'trace_an': -5}
-
id: 63946052
{'hecke_orbit_code': 4503599660926790, 'n': 53, 'trace_an': -3}
-
id: 63946053
{'hecke_orbit_code': 4503599660926790, 'n': 54, 'trace_an': -5}
-
id: 63946054
{'hecke_orbit_code': 4503599660926790, 'n': 55, 'trace_an': 0}
-
id: 63946055
{'hecke_orbit_code': 4503599660926790, 'n': 56, 'trace_an': 0}
-
id: 63946056
{'hecke_orbit_code': 4503599660926790, 'n': 57, 'trace_an': 1}
-
id: 63946057
{'hecke_orbit_code': 4503599660926790, 'n': 58, 'trace_an': -9}
-
id: 63946058
{'hecke_orbit_code': 4503599660926790, 'n': 59, 'trace_an': -9}
-
id: 63946059
{'hecke_orbit_code': 4503599660926790, 'n': 60, 'trace_an': 0}
-
id: 63946060
{'hecke_orbit_code': 4503599660926790, 'n': 61, 'trace_an': 10}
-
id: 63946061
{'hecke_orbit_code': 4503599660926790, 'n': 62, 'trace_an': -4}
-
id: 63946062
{'hecke_orbit_code': 4503599660926790, 'n': 63, 'trace_an': 0}
-
id: 63946063
{'hecke_orbit_code': 4503599660926790, 'n': 64, 'trace_an': 1}
-
id: 63946064
{'hecke_orbit_code': 4503599660926790, 'n': 65, 'trace_an': 0}
-
id: 63946065
{'hecke_orbit_code': 4503599660926790, 'n': 66, 'trace_an': -6}
-
id: 63946066
{'hecke_orbit_code': 4503599660926790, 'n': 67, 'trace_an': 5}
-
id: 63946067
{'hecke_orbit_code': 4503599660926790, 'n': 68, 'trace_an': -3}
-
id: 63946068
{'hecke_orbit_code': 4503599660926790, 'n': 69, 'trace_an': -3}
-
id: 63946069
{'hecke_orbit_code': 4503599660926790, 'n': 70, 'trace_an': 0}
-
id: 63946070
{'hecke_orbit_code': 4503599660926790, 'n': 71, 'trace_an': -6}
-
id: 63946071
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