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{'Nk2': 5292, 'analytic_conductor': 10.564208187415394, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -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': [1323, 1, [785, 1081], [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': [[2, [2, 1]], [5, [-1, 1]], [13, [-2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660926251, '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': '1323.2.a.b', 'level': 1323, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+2q^{4}+q^{5}-2q^{10}-4q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/1323/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1323.2.a', 'trace_display': [-2, 0, 1, 0], 'trace_hash': 451367779276527553, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.925', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.708', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [1, -2, 0, 2, 1, 0, 0, 0, 0, -2, -4, 0, 2, 0, 0, -4, -3, 0, 8, 2, 0, 8, -6, 0, -4, -4, 0, 0, -4, 0, -6, 8, 0, 6, 0, 0, -3, -16, 0, 0, -1, 0, 11, -8, 0, 12, -9, 0, 0, 8, 0, 4, 6, 0, -4, 0, 0, 8, 15, 0, -4, 12, 0, -8, 2, 0, -8, -6, 0, 0, -12, 0, -6, 6, 0, 16, 0, 0, -1, -4, 0, 2, 9, 0, -3, -22, 0, 0, -2, 0, 0, -12, 0, 18, 8, 0, -12, 0, 0, -8, -10, 0, -2, 0, 0, -12, 2, 0, -9, 8, 0, 0, 2, 0, -6, -8, 0, -30, 0, 0, 5, 8, 0, -12, -9, 0, -15, 0, 0, -4, 4, 0, 0, 16, 0, 0, -18, 0, 0, 0, 0, 24, -8, 0, -4, 12, 0, -6, 12, 0, 5, 0, 0, 0, -6, 0, 8, 2, 0, 8, 0, 0, -11, -2, 0, -18, -17, 0, -9, 6, 0, 22, -22, 0, 0, 16, 0, 4, -2, 0, -16, 0, 0, 0, -3, 0, 12, -18, 0, -16, 2, 0, -25, 24, 0, 0, -4, 0, 12, 0, 0, 20, 0, 0, -1, 4, 0, -8, -32, 0, 4, 12, 0, -4, 11, 0, 0, 18, 0, -8, -6, 0, 2, 0, 0, -4, 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mf_hecke_nf • Show schema
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{'an': [[1], [-2], [0], [2], [1], [0], [0], [0], [0], [-2], [-4], [0], [2], [0], [0], [-4], [-3], [0], [8], [2], [0], [8], [-6], [0], [-4], [-4], [0], [0], [-4], [0], [-6], [8], [0], [6], [0], [0], [-3], [-16], [0], [0], [-1], [0], [11], [-8], [0], [12], [-9], [0], [0], [8], [0], [4], [6], [0], [-4], [0], [0], [8], [15], [0], [-4], [12], [0], [-8], [2], [0], [-8], [-6], [0], [0], [-12], [0], [-6], [6], [0], [16], [0], [0], [-1], [-4], [0], [2], [9], [0], [-3], [-22], [0], [0], [-2], [0], [0], [-12], [0], [18], [8], [0], [-12], [0], [0], [-8]], 'ap': [[-2], [0], [1], [0], [-4], [2], [-3], [8], [-6], [-4], [-6], [-3], [-1], [11], [-9], [6], [15], [-4], [-8], [-12], [-6], [-1], [9], [-2], [-12], [-10], [-2], [2], [-9], [2], [-15], [4], [-18], [0], [12], [5], [8], [-11], [-17], [-22], [-2], [-16], [2], [-25], [-4], [12], [4], [2], [24], [4], [6], [-18], [10], [25], [-10], [14], [21], [2], [13], [10], [-28], [-1], [2], [3], [16], [-18], [-1], [7], [-2], [20], [25], [34], [30], [-13], [-3], [-21], [-24], [-6], [0], [-32], [33], [14], [24], [2], [-24], [-24], [-6], [-14], [-1], [-23], [-12], [17], [16], [-26], [13], [-21], [41], [-15], [26], [29], [-29], [-4], [4], [2], [11], [20], [-20], [33], [36], [18], [-14], [-26], [-6], [44], [-19], [12], [-26], [8], [-42], [12], [14], [-2], [-30], [42], [-50], [18], [15], [-33], [4], [0], [12], [36], [16], [23], [3], [-44], [-49], [2], [-2], [-42], [46], [-8], [-3], [-18], [16], [55], [-8], [-17], [-2], [6], [37], [-30], [41], [-13], [17], [12], [-43], [35], [12], [17], [28], [-2], [40], [45], [-12], [-21], [11], [-40], [1], [11], [24], [48], [-6], [11], [-56], [-31], [28], [-52], [-24], [26], [-13], [21], [-22], [29], [12], [-61], [-26], [2], [-50], [25], [14], [-36], [17], [27], [44], [21], [26], [39], [-18], [21], [40], [-32], [-30], [14], [23], [-25], [36], [0], [-42], [-22], [21], [30], [43], [13], [-7], [-28], [-49], [-14], [-10], [24], [-49], [2], [34], [47], [-19], [-19], [67], [-50], [-62], [-30], [-50], [-34], [-37], [-52], [-18], [0], [-16], [16], [-18], [-25], [-12], [0], [42], [-38], [-42], [31], [-70], [-55], [61], [30], [65], [-6], [-34], [50], [19], [-56], [-13], [18], [-30], [46], [-40], [58], [-8], [52], [-34], [-8], [-12], [-62], [-11], [-34], [38], [68], [-10], [-49], [14], [-8], [2], [39], [-77], [17], [17], [-57], [23], [68], [22], [-60], [-35], [-72], [-86], [-21], [38], [1], [36], [45], [-5], [-53], [50], [17], [-79], [40], [-30], [-60], [40], [-10], [-63], [66], [12], [-30], [-10], [-62], [24], [46], [78], [81], [-80], [-26], [75], [-54], [44], [-48], [10], [61], [27], [-64], [-90], [-34], [43], [-44], [-20], [0], [70], [-12], [40], [-63], [25], [-29], [50], [-57], [28], [44], [79], [-8], [-63], [-32], [-50], [8], [80], [79], [-75], [-22], [26], [-63], [-10], [84], [-17], [17], [60], [-9], [-20], [36], [-33], [67], [-90], [88], [-32], [-47], [77], [91], [-45], [-24], [-18], [24], [6], [70], [22], [28], [-46], [70], [-66], [24], [-73], [-24], [-32], [-74], [18], [-88], [-100], [62], [41], [-60], [-65], [-42], [6], [-62], [-68], [46], [-70], [45], [-12], [42], [40], [64], [-11], [3], [30], [104], [-75], [-38], [-32], [-48], [-44], [22], [-50], [-35], [3], [-18], [90], [76], [-99], [-24], [54], [32], [-98], [-49], [-14], [-21], [68], [48], [18], [-24]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660926251, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1323.2.a.b', 'level': 1323, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 15, 12], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12], 'ALdims_old': [21, 22, 25, 22], 'Nk2': 5292, 'analytic_conductor': 10.564208187415394, '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': [1323, 1, [785, 1081], [1, 1]], 'conrey_index': 1, 'cusp_dim': 145, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33555755, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '1323.2.a', 'level': 1323, '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': [3, 7], 'level_radical': 21, 'mf_dim': 192, 'mf_new_dim': 55, 'num_forms': 31, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 336, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [55, 0, 0, 54, 0, 0, 0, 0, 0, 4, 0, 0, 7, 0, 0, 32, 0, 0, -5, 0, 0, -8, 0, 0, 73, 0, 0, 0, 0, 0, -16, 0, 0, 36, 0, 0, 19, 0, 0, 48, 0, 0, -46, 0, 0, 4, 0, 0, 0, 0, 0, 18, 0, 0, -52, 0, 0, -8, 0, 0, 13, 0, 0, 56, 0, 0, -47, 0, 0, 0, 0, 0, -1, 0, 0, -54, 0, 0, -67, 0, 0, -28, 0, 0, 28, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, 47, 0, 0, 110, 0, 0, -3, 0, 0, -12, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, 0, -36, 0, 0, 55, 0, 0, -88, 0, 0, -10, 0, 0, 4, 0, 0, 0, 0, 0, -24, 0, 0, 5, 0, 0, -100, 0, 0, 92, 0, 0, -14, 0, 0, 11, 0, 0, 0, 0, 0, 22, 0, 0, 104, 0, 0, -35, 0, 0, -84, 0, 0, 114, 0, 0, -164, 0, 0, 0, 0, 0, 136, 0, 0, -41, 0, 0, 28, 0, 0, -36, 0, 0, 20, 0, 0, 71, 0, 0, 0, 0, 0, 29, 0, 0, -64, 0, 0, -20, 0, 0, 60, 0, 0, -107, 0, 0, -116, 0, 0, 0, 0, 0, -8, 0, 0, 40, 0, 0, -120, 0, 0, 6, 0, 0, -100, 0, 0, -52, 0, 0, 0, 0, 0, -21, 0, 0, 6, 0, 0, -43, 0, 0, 36, 0, 0, -76, 0, 0, -148, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -62, 0, 0, -29, 0, 0, -72, 0, 0, -88, 0, 0, 0, 0, 0, -116, 0, 0, 16, 0, 0, 89, 0, 0, -22, 0, 0, -136, 0, 0, 84, 0, 0, 0, 0, 0, -156, 0, 0, -56, 0, 0, -68, 0, 0, -51, 0, 0, -94, 0, 0, -60, 0, 0, 0, 0, 0, 57, 0, 0, -24, 0, 0, 85, 0, 0, 76, 0, 0, 131, 0, 0, 80, 0, 0, 0, 0, 0, 152, 0, 0, 37, 0, 0, 112, 0, 0, 0, 0, 0, -76, 0, 0, 38, 0, 0, 0, 0, 0, 53, 0, 0, 12, 0, 0, 69, 0, 0, 24, 0, 0, -179, 0, 0, 88, 0, 0, 0, 0, 0, 2, 0, 0, 96, 0, 0, -108, 0, 0, 26, 0, 0, -28, 0, 0, 92, 0, 0, 0, 0, 0, -81, 0, 0, 142, 0, 0, 20, 0, 0, 256, 0, 0, 115, 0, 0, -84, 0, 0, 0, 0, 0, 92, 0, 0, 34, 0, 0, -84, 0, 0, 68, 0, 0, 420, 0, 0, 220, 0, 0, 0, 0, 0, 76, 0, 0, -24, 0, 0, 272, 0, 0, -312, 0, 0, 161, 0, 0, 184, 0, 0, 0, 0, 0, -24, 0, 0, -123, 0, 0, -308, 0, 0, -107, 0, 0, -34, 0, 0, 273, 0, 0, 0, 0, 0, -84, 0, 0, 80, 0, 0, -114, 0, 0, -116, 0, 0, 388, 0, 0, -184, 0, 0, 0, 0, 0, -64, 0, 0, -12, 0, 0, -188, 0, 0, 79, 0, 0, -100, 0, 0, 63, 0, 0, 0, 0, 0, 8, 0, 0, -276, 0, 0, 435, 0, 0, -120, 0, 0, 61, 0, 0, -324, 0, 0, 0, 0, 0, 38, 0, 0, 44, 0, 0, 292, 0, 0, 68, 0, 0, -200, 0, 0, 71, 0, 0, 0, 0, 0, 133, 0, 0, 88, 0, 0, 44, 0, 0, -52, 0, 0, -190, 0, 0, -196, 0, 0, 0, 0, 0, -48, 0, 0, 26, 0, 0, -406, 0, 0, 213, 0, 0, -12, 0, 0, -199, 0, 0, 0, 0, 0, -5, 0, 0, -108, 0, 0, 63, 0, 0, 276, 0, 0, -137, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -252, 0, 0, -310, 0, 0, -204, 0, 0, 0, 0, 0, 61, 0, 0, -288, 0, 0, -100, 0, 0, -80, 0, 0, 101, 0, 0, 240, 0, 0, 0, 0, 0, -24, 0, 0, -60, 0, 0, -400, 0, 0, -228, 0, 0, 80, 0, 0, 412, 0, 0, 0, 0, 0, 169, 0, 0, 28, 0, 0, -93, 0, 0, 264, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 144, 0, 0, 320, 0, 0, -250, 0, 0, 12, 0, 0, -302, 0, 0, 0, 0, 0, -12, 0, 0, 96, 0, 0, -41, 0, 0, 160, 0, 0, -389, 0, 0, 172, 0, 0, 0, 0, 0, -132, 0, 0, 57, 0, 0, 798, 0, 0, 68, 0, 0, 436, 0, 0, -192, 0, 0, 0, 0, 0, 7, 0, 0, -100, 0, 0, 3, 0, 0, 230, 0, 0, -156, 0, 0, 1044, 0, 0, 0, 0, 0, -120, 0, 0, 156, 0, 0, 652, 0, 0, 164, 0, 0, -160, 0, 0, -281, 0, 0, 0, 0, 0, 27, 0, 0, -8, 0, 0, -160, 0, 0, -156, 0, 0, 369, 0, 0, 262, 0, 0, 0, 0, 0, -96, 0, 0, -171, 0, 0, -328, 0, 0, -3, 0, 0, 656, 0, 0, 80, 0, 0, 0, 0, 0, -153, 0, 0, 456, 0, 0, -279, 0, 0, -296, 0, 0, -95, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, -116, 0, 0, -120, 0, 0, 192, 0, 0, 452, 0, 0, 169, 0, 0, 0, 0, 0, -60, 0, 0, -236, 0, 0, -254, 0, 0, -220, 0, 0, 265, 0, 0, 496, 0, 0, 0, 0, 0, 264, 0, 0, 89, 0, 0, -276, 0, 0, 0, 0, 0, -52, 0, 0, -99, 0, 0, 0, 0, 0, -88, 0, 0, 140, 0, 0, 57, 0, 0, 130, 0, 0, 1, 0, 0, 64, 0, 0, 0, 0, 0, 372, 0, 0, -184, 0, 0, 504, 0, 0, -4, 0, 0, -302, 0, 0, -333, 0, 0, 0, 0, 0, -26, 0, 0, -168], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 706828
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '189.2.a.a', 'target_level': 189, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 706829
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '189.2.a.d', 'target_level': 189, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 706830
{'conductor': 63, '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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '567.2.f.a', 'target_level': 567, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 706831
{'conductor': 63, '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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '567.2.f.h', 'target_level': 567, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 706832
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.a.b', 'target_level': 1323, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 706833
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1323.2.a.r', 'target_level': 1323, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 706834
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3024.2.a.l', 'target_level': 3024, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 706835
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '3024.2.a.u', 'target_level': 3024, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 706836
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4725.2.a.c', 'target_level': 4725, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 706837
{'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': '1323.2.a.b', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4725.2.a.s', 'target_level': 4725, 'twist_class_label': '189.2.a.a', 'twist_class_level': 189, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1861725
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 2}
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id: 1861726
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 3}
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id: 1861727
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 5}
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id: 1861728
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 7}
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id: 1861729
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 11}
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id: 1861730
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 13}
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id: 1861731
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 17}
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id: 1861732
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 19}
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id: 1861733
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 23}
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id: 1861734
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 29}
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id: 1861735
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 31}
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id: 1861736
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 37}
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id: 1861737
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 41}
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id: 1861738
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 43}
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id: 1861739
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 47}
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id: 1861740
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 53}
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id: 1861741
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 59}
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id: 1861742
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 61}
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id: 1861743
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 67}
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id: 1861744
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 71}
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id: 1861745
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 73}
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id: 1861746
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 79}
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id: 1861747
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 83}
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id: 1861748
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 89}
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id: 1861749
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660926251, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '1323.2.a.b', 'level': 1323, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 16359588
{'hecke_orbit_code': 4503599660926251, 'n': 1, 'trace_an': 1}
-
id: 16359589
{'hecke_orbit_code': 4503599660926251, 'n': 2, 'trace_an': -2}
-
id: 16359590
{'hecke_orbit_code': 4503599660926251, 'n': 3, 'trace_an': 0}
-
id: 16359591
{'hecke_orbit_code': 4503599660926251, 'n': 4, 'trace_an': 2}
-
id: 16359592
{'hecke_orbit_code': 4503599660926251, 'n': 5, 'trace_an': 1}
-
id: 16359593
{'hecke_orbit_code': 4503599660926251, 'n': 6, 'trace_an': 0}
-
id: 16359594
{'hecke_orbit_code': 4503599660926251, 'n': 7, 'trace_an': 0}
-
id: 16359595
{'hecke_orbit_code': 4503599660926251, 'n': 8, 'trace_an': 0}
-
id: 16359596
{'hecke_orbit_code': 4503599660926251, 'n': 9, 'trace_an': 0}
-
id: 16359597
{'hecke_orbit_code': 4503599660926251, 'n': 10, 'trace_an': -2}
-
id: 16359598
{'hecke_orbit_code': 4503599660926251, 'n': 11, 'trace_an': -4}
-
id: 16359599
{'hecke_orbit_code': 4503599660926251, 'n': 12, 'trace_an': 0}
-
id: 16359600
{'hecke_orbit_code': 4503599660926251, 'n': 13, 'trace_an': 2}
-
id: 16359601
{'hecke_orbit_code': 4503599660926251, 'n': 14, 'trace_an': 0}
-
id: 16359602
{'hecke_orbit_code': 4503599660926251, 'n': 15, 'trace_an': 0}
-
id: 16359603
{'hecke_orbit_code': 4503599660926251, 'n': 16, 'trace_an': -4}
-
id: 16359604
{'hecke_orbit_code': 4503599660926251, 'n': 17, 'trace_an': -3}
-
id: 16359605
{'hecke_orbit_code': 4503599660926251, 'n': 18, 'trace_an': 0}
-
id: 16359606
{'hecke_orbit_code': 4503599660926251, 'n': 19, 'trace_an': 8}
-
id: 16359607
{'hecke_orbit_code': 4503599660926251, 'n': 20, 'trace_an': 2}
-
id: 16359608
{'hecke_orbit_code': 4503599660926251, 'n': 21, 'trace_an': 0}
-
id: 16359609
{'hecke_orbit_code': 4503599660926251, 'n': 22, 'trace_an': 8}
-
id: 16359610
{'hecke_orbit_code': 4503599660926251, 'n': 23, 'trace_an': -6}
-
id: 16359611
{'hecke_orbit_code': 4503599660926251, 'n': 24, 'trace_an': 0}
-
id: 16359612
{'hecke_orbit_code': 4503599660926251, 'n': 25, 'trace_an': -4}
-
id: 16359613
{'hecke_orbit_code': 4503599660926251, 'n': 26, 'trace_an': -4}
-
id: 16359614
{'hecke_orbit_code': 4503599660926251, 'n': 27, 'trace_an': 0}
-
id: 16359615
{'hecke_orbit_code': 4503599660926251, 'n': 28, 'trace_an': 0}
-
id: 16359616
{'hecke_orbit_code': 4503599660926251, 'n': 29, 'trace_an': -4}
-
id: 16359617
{'hecke_orbit_code': 4503599660926251, 'n': 30, 'trace_an': 0}
-
id: 16359618
{'hecke_orbit_code': 4503599660926251, 'n': 31, 'trace_an': -6}
-
id: 16359619
{'hecke_orbit_code': 4503599660926251, 'n': 32, 'trace_an': 8}
-
id: 16359620
{'hecke_orbit_code': 4503599660926251, 'n': 33, 'trace_an': 0}
-
id: 16359621
{'hecke_orbit_code': 4503599660926251, 'n': 34, 'trace_an': 6}
-
id: 16359622
{'hecke_orbit_code': 4503599660926251, 'n': 35, 'trace_an': 0}
-
id: 16359623
{'hecke_orbit_code': 4503599660926251, 'n': 36, 'trace_an': 0}
-
id: 16359624
{'hecke_orbit_code': 4503599660926251, 'n': 37, 'trace_an': -3}
-
id: 16359625
{'hecke_orbit_code': 4503599660926251, 'n': 38, 'trace_an': -16}
-
id: 16359626
{'hecke_orbit_code': 4503599660926251, 'n': 39, 'trace_an': 0}
-
id: 16359627
{'hecke_orbit_code': 4503599660926251, 'n': 40, 'trace_an': 0}
-
id: 16359628
{'hecke_orbit_code': 4503599660926251, 'n': 41, 'trace_an': -1}
-
id: 16359629
{'hecke_orbit_code': 4503599660926251, 'n': 42, 'trace_an': 0}
-
id: 16359630
{'hecke_orbit_code': 4503599660926251, 'n': 43, 'trace_an': 11}
-
id: 16359631
{'hecke_orbit_code': 4503599660926251, 'n': 44, 'trace_an': -8}
-
id: 16359632
{'hecke_orbit_code': 4503599660926251, 'n': 45, 'trace_an': 0}
-
id: 16359633
{'hecke_orbit_code': 4503599660926251, 'n': 46, 'trace_an': 12}
-
id: 16359634
{'hecke_orbit_code': 4503599660926251, 'n': 47, 'trace_an': -9}
-
id: 16359635
{'hecke_orbit_code': 4503599660926251, 'n': 48, 'trace_an': 0}
-
id: 16359636
{'hecke_orbit_code': 4503599660926251, 'n': 49, 'trace_an': 0}
-
id: 16359637
{'hecke_orbit_code': 4503599660926251, 'n': 50, 'trace_an': 8}
-
id: 16359638
{'hecke_orbit_code': 4503599660926251, 'n': 51, 'trace_an': 0}
-
id: 16359639
{'hecke_orbit_code': 4503599660926251, 'n': 52, 'trace_an': 4}
-
id: 16359640
{'hecke_orbit_code': 4503599660926251, 'n': 53, 'trace_an': 6}
-
id: 16359641
{'hecke_orbit_code': 4503599660926251, 'n': 54, 'trace_an': 0}
-
id: 16359642
{'hecke_orbit_code': 4503599660926251, 'n': 55, 'trace_an': -4}
-
id: 16359643
{'hecke_orbit_code': 4503599660926251, 'n': 56, 'trace_an': 0}
-
id: 16359644
{'hecke_orbit_code': 4503599660926251, 'n': 57, 'trace_an': 0}
-
id: 16359645
{'hecke_orbit_code': 4503599660926251, 'n': 58, 'trace_an': 8}
-
id: 16359646
{'hecke_orbit_code': 4503599660926251, 'n': 59, 'trace_an': 15}
-
id: 16359647
{'hecke_orbit_code': 4503599660926251, 'n': 60, 'trace_an': 0}
-
id: 16359648
{'hecke_orbit_code': 4503599660926251, 'n': 61, 'trace_an': -4}
-
id: 16359649
{'hecke_orbit_code': 4503599660926251, 'n': 62, 'trace_an': 12}
-
id: 16359650
{'hecke_orbit_code': 4503599660926251, 'n': 63, 'trace_an': 0}
-
id: 16359651
{'hecke_orbit_code': 4503599660926251, 'n': 64, 'trace_an': -8}
-
id: 16359652
{'hecke_orbit_code': 4503599660926251, 'n': 65, 'trace_an': 2}
-
id: 16359653
{'hecke_orbit_code': 4503599660926251, 'n': 66, 'trace_an': 0}
-
id: 16359654
{'hecke_orbit_code': 4503599660926251, 'n': 67, 'trace_an': -8}
-
id: 16359655
{'hecke_orbit_code': 4503599660926251, 'n': 68, 'trace_an': -6}
-
id: 16359656
{'hecke_orbit_code': 4503599660926251, 'n': 69, 'trace_an': 0}
-
id: 16359657
{'hecke_orbit_code': 4503599660926251, 'n': 70, 'trace_an': 0}
-
id: 16359658
{'hecke_orbit_code': 4503599660926251, 'n': 71, 'trace_an': -12}
-
id: 16359659
{'hecke_orbit_code': 4503599660926251, 'n': 72, 'trace_an': 0}
-
id: 16359660
{'hecke_orbit_code': 4503599660926251, 'n': 73, 'trace_an': -6}
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