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{'Nk2': 5400, 'analytic_conductor': 10.779804272872852, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 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': [1350, 1, [1001, 1027], [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': [[7, [-1, 1]], [11, [3, 1]], [13, [-4, 1]], [17, [0, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698854214, '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': '1350.2.a.r', 'level': 1350, '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, 5], 'level_radical': 30, 'minimal_twist': '54.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1350/r'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1350.2.a', 'trace_display': [1, 0, 0, 1], 'trace_hash': 302277849810621457, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.293', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.925', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [1, 1, 0, 1, 0, 0, 1, 1, 0, 0, -3, 0, 4, 1, 0, 1, 0, 0, 2, 0, 0, -3, 6, 0, 0, 4, 0, 1, 6, 0, 5, 1, 0, 0, 0, 0, -2, 2, 0, 0, -6, 0, 10, -3, 0, 6, -6, 0, -6, 0, 0, 4, -9, 0, 0, 1, 0, 6, 12, 0, 8, 5, 0, 1, 0, 0, -14, 0, 0, 0, 0, 0, 7, -2, 0, 2, -3, 0, 8, 0, 0, -6, 3, 0, 0, 10, 0, -3, -18, 0, 4, 6, 0, -6, 0, 0, 1, -6, 0, 0, -3, 0, 4, 4, 0, -9, -9, 0, 2, 0, 0, 1, 6, 0, 0, 6, 0, 12, 0, 0, -2, 8, 0, 5, 0, 0, 7, 1, 0, 0, -15, 0, 2, -14, 0, 0, -6, 0, -4, 0, 0, 0, -12, 0, 0, 7, 0, -2, 3, 0, 17, 2, 0, -3, 0, 0, 4, 8, 0, 0, 6, 0, -20, -6, 0, 3, 6, 0, 3, 0, 0, 10, -15, 0, 0, -3, 0, -18, -9, 0, -16, 4, 0, 6, 0, 0, 0, -6, 0, 0, -12, 0, -5, 1, 0, -6, -9, 0, -7, 0, 0, -3, 6, 0, 0, 4, 0, 4, -6, 0, -22, -9, 0, -9, 0, 0, 5, 2, 0, 0, 0, 0, -8, 1, 0, 6, 12, 0, 14, 0, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [1], [0], [0], [1], [1], [0], [0], [-3], [0], [4], [1], [0], [1], [0], [0], [2], [0], [0], [-3], [6], [0], [0], [4], [0], [1], [6], [0], [5], [1], [0], [0], [0], [0], [-2], [2], [0], [0], [-6], [0], [10], [-3], [0], [6], [-6], [0], [-6], [0], [0], [4], [-9], [0], [0], [1], [0], [6], [12], [0], [8], [5], [0], [1], [0], [0], [-14], [0], [0], [0], [0], [0], [7], [-2], [0], [2], [-3], [0], [8], [0], [0], [-6], [3], [0], [0], [10], [0], [-3], [-18], [0], [4], [6], [0], [-6], [0], [0], [1], [-6], [0], [0]], 'ap': [[1], [0], [0], [1], [-3], [4], [0], [2], [6], [6], [5], [-2], [-6], [10], [-6], [-9], [12], [8], [-14], [0], [7], [8], [3], [-18], [1], [-3], [4], [-9], [2], [6], [7], [-15], [-6], [-4], [3], [17], [4], [-20], [6], [-15], [-9], [-16], [-12], [-5], [-9], [-7], [-22], [-8], [12], [14], [-18], [30], [-10], [0], [-12], [30], [-18], [-25], [-8], [24], [-14], [6], [16], [-6], [19], [3], [-10], [22], [-3], [-10], [-6], [18], [-17], [-32], [20], [24], [-21], [-20], [12], [23], [12], [8], [18], [-29], [-19], [12], [-18], [1], [-21], [13], [27], [6], [16], [39], [14], [18], [-15], [36], [16], [20], [-8], [-27], [-3], [-12], [-4], [-38], [3], [-18], [-42], [35], [-32], [34], [42], [-28], [-25], [42], [4], [0], [-39], [-21], [14], [19], [-42], [36], [44], [9], [44], [36], [1], [22], [-16], [-12], [41], [-2], [48], [-31], [18], [-32], [-39], [18], [2], [6], [31], [0], [2], [24], [10], [48], [-40], [36], [22], [-36], [-2], [-12], [-26], [6], [29], [-12], [-11], [-33], [-51], [36], [-23], [-27], [42], [-6], [47], [28], [11], [6], [15], [-58], [30], [-26], [-31], [-6], [26], [-9], [-47], [-64], [55], [33], [-14], [-36], [-12], [15], [-38], [-8], [59], [-54], [-2], [57], [2], [-57], [36], [-12], [23], [-62], [12], [-36], [39], [-55], [-32], [-19], [-9], [18], [20], [-21], [-30], [-40], [7], [-42], [-35], [21], [-24], [-55], [-32], [42], [-18], [6], [14], [-4], [-24], [-20], [-57], [8], [-24], [-54], [-8], [-12], [-14], [56], [-40], [12], [10], [-60], [14], [-18], [39], [36], [-60], [-34], [49], [-16], [24], [-12], [43], [57], [14], [-36], [76], [72], [-30], [17], [75], [-63], [-52], [-8], [-9], [-65], [1], [21], [-58], [16], [-12], [-28], [-18], [6], [4], [6], [32], [16], [-53], [59], [31], [79], [51], [8], [47], [-12], [60], [77], [30], [26], [22], [18], [61], [-3], [-64], [0], [42], [-45], [60], [-69], [10], [66], [17], [39], [-63], [-26], [22], [-27], [-25], [51], [-22], [-47], [-60], [86], [-24], [16], [84], [9], [-30], [-68], [72], [-70], [-39], [12], [46], [30], [-28], [67], [-27], [-11], [-24], [47], [74], [64], [48], [-63], [-46], [6], [17], [-24], [-16], [-9], [2], [78], [41], [61], [46], [48], [93], [8], [-33], [-36], [74], [82], [42], [-54], [-40], [-11], [66], [-89], [14], [-18], [30], [63], [78], [-42], [64], [24], [-36], [15], [-74], [-62], [-78], [-29], [-7], [69], [20], [-30], [33], [-31], [52], [-96], [54], [-11], [-54], [82], [-21], [-30], [88], [48], [-4], [-54], [-28], [4], [-74], [-12], [17], [30], [-36], [-26], [-12], [-14], [-16], [-30], [-22], [-33], [-4], [90], [40], [24], [45], [-43], [-26], [-12], [4], [-21], [1], [-87], [-81], [44], [-41], [-63], [18], [-8], [54], [6], [-66], [-2], [-60], [57], [43], [-57], [39], [54], [56], [-12]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 76561193698854214, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1350.2.a.r', 'level': 1350, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 4, 3, 3, 4, 2, 2, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [22, 29, 30, 24, 26, 28, 28, 22], 'Nk2': 5400, 'analytic_conductor': 10.779804272872852, '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': [1350, 1, [1001, 1027], [1, 1]], 'conrey_index': 1, 'cusp_dim': 235, 'dim': 26, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33555782, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], 'label': '1350.2.a', 'level': 1350, '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, 5], 'level_radical': 30, 'mf_dim': 306, 'mf_new_dim': 26, 'num_forms': 24, 'plus_dim': 10, 'prim_orbit_index': 1, 'relative_dim': 26, 'sturm_bound': 540, 'trace_bound': 17, 'trace_display': [0, 0, 0, -6], 'traces': [26, 0, 0, 26, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 2, 0, 0, 8, 0, 0, 12, 0, 0, 0, 0, 0, 36, 0, 0, -4, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 4, 0, 0, 26, 0, 0, -12, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 24, 0, 0, 28, 0, 0, -30, 0, 0, 0, 0, 0, -24, 0, 0, 42, 0, 0, -40, 0, 0, -6, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 0, -12, 0, 0, 8, 0, 0, -4, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, -22, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -22, 0, 0, -98, 0, 0, 36, 0, 0, 0, 0, 0, -12, 0, 0, -152, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 60, 0, 0, -66, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 18, 0, 0, 18, 0, 0, 0, 0, 0, -24, 0, 0, -132, 0, 0, -176, 0, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, -244, 0, 0, 4, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 26, 0, 0, 8, 0, 0, -30, 0, 0, 0, 0, 0, -12, 0, 0, 182, 0, 0, -108, 0, 0, 48, 0, 0, 0, 0, 0, -60, 0, 0, 24, 0, 0, -50, 0, 0, 30, 0, 0, 0, 0, 0, -66, 0, 0, -64, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 30, 0, 0, 12, 0, 0, 108, 0, 0, 36, 0, 0, 0, 0, 0, 12, 0, 0, 128, 0, 0, -12, 0, 0, 12, 0, 0, 0, 0, 0, 54, 0, 0, -122, 0, 0, 56, 0, 0, -6, 0, 0, 0, 0, 0, -18, 0, 0, 46, 0, 0, 24, 0, 0, -66, 0, 0, 0, 0, 0, -120, 0, 0, 28, 0, 0, -152, 0, 0, -72, 0, 0, 0, 0, 0, -30, 0, 0, 80, 0, 0, -206, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 36, 0, 0, -86, 0, 0, -24, 0, 0, 0, 0, 0, 60, 0, 0, -244, 0, 0, 42, 0, 0, 48, 0, 0, 0, 0, 0, -90, 0, 0, -40, 0, 0, 90, 0, 0, 24, 0, 0, 0, 0, 0, -6, 0, 0, -4, 0, 0, -88, 0, 0, 114, 0, 0, 0, 0, 0, -6, 0, 0, 52, 0, 0, 220, 0, 0, -24, 0, 0, 0, 0, 0, 36, 0, 0, 96, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 2, 0, 0, 72, 0, 0, 48, 0, 0, 0, 0, 0, 6, 0, 0, 38, 0, 0, -120, 0, 0, -36, 0, 0, 0, 0, 0, 144, 0, 0, 20, 0, 0, 178, 0, 0, -12, 0, 0, 0, 0, 0, -60, 0, 0, 212, 0, 0, 8, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, -4, 0, 0, 120, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 20, 0, 0, 124, 0, 0, -108, 0, 0, 0, 0, 0, 198, 0, 0, -204, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 0, 144, 0, 0, 94, 0, 0, -22, 0, 0, 48, 0, 0, 0, 0, 0, 156, 0, 0, 70, 0, 0, 148, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 2, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 120, 0, 0, 88, 0, 0, -24, 0, 0, 0, 0, 0, -36, 0, 0, -8, 0, 0, -22, 0, 0, 72, 0, 0, 0, 0, 0, 30, 0, 0, -98, 0, 0, 58, 0, 0, -102, 0, 0, 0, 0, 0, 36, 0, 0, -280, 0, 0, 126, 0, 0, -72, 0, 0, 0, 0, 0, -120, 0, 0, -68, 0, 0, -300, 0, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, -68, 0, 0, -152, 0, 0, -174, 0, 0, 0, 0, 0, 60, 0, 0, -4, 0, 0, -40, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, -144, 0, 0, 36, 0, 0, 0, 0, 0, -60, 0, 0, 88, 0, 0, 54, 0, 0, -18, 0, 0, 0, 0, 0, -114, 0, 0, 192, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -66, 0, 0, 304, 0, 0, -24, 0, 0, 0, 0, 0, -30, 0, 0, 248, 0, 0, 268, 0, 0, 144, 0, 0, 0, 0, 0, -18, 0, 0, 32, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 110, 0, 0, 12, 0, 0, 12, 0, 0, 0, 0, 0, 60, 0, 0, 18, 0, 0, 100, 0, 0, 36, 0, 0, 0, 0, 0, 18, 0, 0, 168, 0, 0, -72, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, 144, 0, 0, 218, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, -336, 0, 0, -132, 0, 0, -276, 0, 0, 0, 0, 0, 54, 0, 0, -176, 0, 0, 162, 0, 0, -138, 0, 0, 0, 0, 0, 36, 0, 0, 168, 0, 0, -54, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, -48, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 204, 0, 0, -244, 0, 0, 66, 0, 0, 0, 0, 0, -72, 0, 0, 4, 0, 0, -52, 0, 0, 174, 0, 0, 0, 0, 0, 72, 0, 0, 158, 0, 0, 0, 0, 0, 96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 715334
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '54.2.a.a', 'target_level': 54, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 715335
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.2.a.b', 'target_level': 54, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715336
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.2.c.b', 'target_level': 162, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 715337
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '162.2.c.c', 'target_level': 162, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 715338
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.a.b', 'target_level': 432, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 715339
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '432.2.a.g', 'target_level': 432, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715340
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1296.2.i.c', 'target_level': 1296, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 715341
{'conductor': 180, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1296.2.i.o', 'target_level': 1296, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 715342
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1350.2.a.h', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 715343
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1350.2.a.r', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 715344
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.2.c.b', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 715345
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1350.2.c.k', 'target_level': 1350, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 715346
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1728.2.a.c', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 715347
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.2.a.d', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 715348
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1728.2.a.y', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 715349
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1728.2.a.z', 'target_level': 1728, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 715350
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2646.2.a.a', 'target_level': 2646, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 715351
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2646.2.a.bd', 'target_level': 2646, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 715352
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '6534.2.a.b', 'target_level': 6534, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715353
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '6534.2.a.bc', 'target_level': 6534, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715354
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9126.2.a.r', 'target_level': 9126, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 715355
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '1350.2.a.r', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '9126.2.a.u', 'target_level': 9126, 'twist_class_label': '54.2.a.a', 'twist_class_level': 54, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1885275
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 2}
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id: 1885276
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 3}
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id: 1885277
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 5}
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id: 1885278
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 7}
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id: 1885279
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 11}
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id: 1885280
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 13}
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id: 1885281
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 17}
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id: 1885282
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 19}
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id: 1885283
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 23}
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id: 1885284
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 29}
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id: 1885285
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 31}
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id: 1885286
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 37}
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id: 1885287
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 41}
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id: 1885288
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 43}
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id: 1885289
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 47}
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id: 1885290
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 53}
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id: 1885291
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 59}
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id: 1885292
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 61}
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id: 1885293
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 67}
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id: 1885294
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 71}
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id: 1885295
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 73}
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id: 1885296
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 79}
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id: 1885297
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 83}
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id: 1885298
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 89}
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id: 1885299
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 76561193698854214, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '1350.2.a.r', 'level': 1350, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62111155
{'hecke_orbit_code': 76561193698854214, 'n': 1, 'trace_an': 1}
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id: 62111156
{'hecke_orbit_code': 76561193698854214, 'n': 2, 'trace_an': 1}
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id: 62111157
{'hecke_orbit_code': 76561193698854214, 'n': 3, 'trace_an': 0}
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id: 62111158
{'hecke_orbit_code': 76561193698854214, 'n': 4, 'trace_an': 1}
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id: 62111159
{'hecke_orbit_code': 76561193698854214, 'n': 5, 'trace_an': 0}
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id: 62111160
{'hecke_orbit_code': 76561193698854214, 'n': 6, 'trace_an': 0}
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id: 62111161
{'hecke_orbit_code': 76561193698854214, 'n': 7, 'trace_an': 1}
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