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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, [2, 1]], [11, [-3, 1]], [13, [5, 1]], [17, [-3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915667270, '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': '1350.2.a.d', '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': '270.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-2q^{7}-q^{8}+3q^{11}-5q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1350/d'], '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, -2], 'trace_hash': 875445893768039595, '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': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [1], [0], [0], [-2], [-1], [0], [0], [3], [0], [-5], [2], [0], [1], [3], [0], [-4], [0], [0], [-3], [9], [0], [0], [5], [0], [-2], [-3], [0], [5], [-1], [0], [-3], [0], [0], [10], [4], [0], [0], [0], [0], [1], [3], [0], [-9], [-9], [0], [-3], [0], [0], [-5], [12], [0], [0], [2], [0], [3], [12], [0], [2], [-5], [0], [1], [0], [0], [4], [3], [0], [0], [12], [0], [10], [-10], [0], [-4], [-6], [0], [-13], [0], [0], [0], [-6], [0], [0], [-1], [0], [-3], [-12], [0], [10], [9], [0], [9], [0], [0], [-2], [3], [0], [0]], 'ap': [[-1], [0], [0], [-2], [3], [-5], [3], [-4], [9], [-3], [5], [10], [0], [1], [-9], [12], [12], [2], [4], [12], [10], [-13], [-6], [-12], [-2], [15], [-2], [-6], [20], [15], [-2], [-3], [6], [2], [21], [11], [13], [-11], [12], [-18], [12], [20], [6], [10], [0], [-7], [-22], [-8], [0], [-4], [-6], [-6], [-19], [-9], [15], [-12], [-9], [8], [10], [-30], [-32], [-18], [-11], [-24], [-8], [0], [14], [-32], [0], [14], [-3], [12], [-26], [1], [-16], [9], [9], [7], [36], [23], [-3], [-4], [0], [-2], [8], [12], [-6], [28], [18], [-38], [-12], [36], [-20], [-12], [-4], [9], [9], [-12], [31], [-22], [13], [-12], [-6], [0], [-10], [-32], [18], [27], [-30], [-19], [34], [19], [-3], [-34], [-16], [30], [-23], [-12], [-36], [48], [2], [22], [-12], [48], [-10], [21], [20], [-30], [-44], [22], [20], [27], [-25], [13], [-18], [23], [42], [1], [36], [24], [38], [-42], [4], [42], [44], [6], [19], [6], [2], [-21], [1], [-18], [4], [3], [-59], [0], [-25], [36], [22], [33], [42], [-15], [-2], [-57], [-33], [-39], [5], [37], [-31], [30], [-15], [50], [-42], [-20], [5], [0], [-28], [-18], [-56], [-46], [-8], [0], [13], [15], [-48], [18], [7], [37], [-10], [42], [-14], [6], [-4], [-57], [12], [6], [-34], [-41], [66], [48], [-45], [68], [-38], [14], [21], [-60], [-31], [-66], [-18], [68], [16], [-45], [28], [-18], [-54], [23], [58], [-42], [63], [-6], [44], [41], [60], [-20], [-42], [26], [3], [18], [-8], [-45], [10], [2], [-49], [-30], [4], [12], [-61], [-48], [48], [-24], [24], [20], [46], [-34], [-18], [-48], [22], [-75], [-22], [-3], [49], [36], [24], [-46], [54], [-21], [-4], [55], [78], [-38], [52], [-6], [-70], [-5], [9], [80], [66], [24], [-23], [60], [44], [-53], [-26], [41], [-50], [-32], [-24], [44], [29], [33], [15], [-67], [-15], [8], [49], [-18], [-56], [18], [5], [42], [3], [-84], [21], [12], [-62], [6], [56], [-54], [-57], [4], [16], [0], [-7], [30], [38], [-74], [18], [-10], [18], [-71], [-39], [-66], [78], [73], [33], [-25], [21], [-24], [-44], [66], [-4], [-32], [-51], [52], [-33], [-55], [20], [-44], [33], [-36], [62], [-54], [-73], [-18], [-52], [-42], [-40], [-6], [-85], [-2], [25], [-33], [42], [29], [-12], [-39], [-34], [-44], [84], [-18], [44], [64], [-15], [82], [-4], [21], [-12], [-63], [69], [-3], [-38], [-60], [-36], [57], [-35], [-56], [84], [10], [-61], [9], [86], [-9], [-78], [-16], [49], [21], [60], [-56], [-78], [-2], [21], [-75], [-8], [-3], [38], [-21], [80], [-2], [1], [-9], [-19], [-6], [36], [-35], [-60], [-8], [-16], [-36], [-22], [-93], [-4], [81], [-68], [-51], [-54], [-88], [-47], [-6], [76], [27], [46], [-30], [-54], [-82], [-62], [-6], [66], [-56], [42], [-99], [-3], [-2], [-99], [-9], [34], [18], [-48], [-24], [74], [18]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915667270, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1350.2.a.d', '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], '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: 715202
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '270.2.a.b', 'target_level': 270, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715203
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '270.2.a.c', 'target_level': 270, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 715204
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '810.2.e.d', 'target_level': 810, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 715205
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '810.2.e.i', 'target_level': 810, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 715206
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1350.2.a.d', 'target_level': 1350, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 715207
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1350.2.a.o', 'target_level': 1350, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 715208
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1350.2.c.c', 'target_level': 1350, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 715209
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1350.2.c.j', 'target_level': 1350, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 715210
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.2.a.b', 'target_level': 2160, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 715211
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2160.2.a.q', 'target_level': 2160, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 715212
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '8640.2.a.e', 'target_level': 8640, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 715213
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '8640.2.a.y', 'target_level': 8640, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 715214
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '8640.2.a.bn', 'target_level': 8640, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 715215
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1350.2.a.d', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8640.2.a.bx', 'target_level': 8640, 'twist_class_label': '270.2.a.b', 'twist_class_level': 270, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1884950
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 2}
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id: 1884951
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 3}
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id: 1884952
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 5}
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id: 1884953
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 7}
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id: 1884954
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 11}
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id: 1884955
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 13}
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id: 1884956
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 17}
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id: 1884957
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 19}
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id: 1884958
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 23}
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id: 1884959
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 29}
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id: 1884960
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 31}
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id: 1884961
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 37}
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id: 1884962
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 41}
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id: 1884963
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 43}
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id: 1884964
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 47}
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id: 1884965
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 53}
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id: 1884966
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 59}
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id: 1884967
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 61}
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id: 1884968
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 67}
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id: 1884969
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 71}
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id: 1884970
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 73}
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id: 1884971
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 79}
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id: 1884972
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 83}
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id: 1884973
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 89}
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id: 1884974
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915667270, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '1350.2.a.d', 'level': 1350, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 126625000
{'hecke_orbit_code': 13510798915667270, 'n': 1, 'trace_an': 1}
-
id: 126625001
{'hecke_orbit_code': 13510798915667270, 'n': 2, 'trace_an': -1}
-
id: 126625002
{'hecke_orbit_code': 13510798915667270, 'n': 3, 'trace_an': 0}
-
id: 126625003
{'hecke_orbit_code': 13510798915667270, 'n': 4, 'trace_an': 1}
-
id: 126625004
{'hecke_orbit_code': 13510798915667270, 'n': 5, 'trace_an': 0}
-
id: 126625005
{'hecke_orbit_code': 13510798915667270, 'n': 6, 'trace_an': 0}
-
id: 126625006
{'hecke_orbit_code': 13510798915667270, 'n': 7, 'trace_an': -2}
-
id: 126625007
{'hecke_orbit_code': 13510798915667270, 'n': 8, 'trace_an': -1}
-
id: 126625008
{'hecke_orbit_code': 13510798915667270, 'n': 9, 'trace_an': 0}
-
id: 126625009
{'hecke_orbit_code': 13510798915667270, 'n': 10, 'trace_an': 0}
-
id: 126625010
{'hecke_orbit_code': 13510798915667270, 'n': 11, 'trace_an': 3}
-
id: 126625011
{'hecke_orbit_code': 13510798915667270, 'n': 12, 'trace_an': 0}
-
id: 126625012
{'hecke_orbit_code': 13510798915667270, 'n': 13, 'trace_an': -5}
-
id: 126625013
{'hecke_orbit_code': 13510798915667270, 'n': 14, 'trace_an': 2}
-
id: 126625014
{'hecke_orbit_code': 13510798915667270, 'n': 15, 'trace_an': 0}
-
id: 126625015
{'hecke_orbit_code': 13510798915667270, 'n': 16, 'trace_an': 1}
-
id: 126625016
{'hecke_orbit_code': 13510798915667270, 'n': 17, 'trace_an': 3}
-
id: 126625017
{'hecke_orbit_code': 13510798915667270, 'n': 18, 'trace_an': 0}
-
id: 126625018
{'hecke_orbit_code': 13510798915667270, 'n': 19, 'trace_an': -4}
-
id: 126625019
{'hecke_orbit_code': 13510798915667270, 'n': 20, 'trace_an': 0}
-
id: 126625020
{'hecke_orbit_code': 13510798915667270, 'n': 21, 'trace_an': 0}
-
id: 126625021
{'hecke_orbit_code': 13510798915667270, 'n': 22, 'trace_an': -3}
-
id: 126625022
{'hecke_orbit_code': 13510798915667270, 'n': 23, 'trace_an': 9}
-
id: 126625023
{'hecke_orbit_code': 13510798915667270, 'n': 24, 'trace_an': 0}
-
id: 126625024
{'hecke_orbit_code': 13510798915667270, 'n': 25, 'trace_an': 0}
-
id: 126625025
{'hecke_orbit_code': 13510798915667270, 'n': 26, 'trace_an': 5}
-
id: 126625026
{'hecke_orbit_code': 13510798915667270, 'n': 27, 'trace_an': 0}
-
id: 126625027
{'hecke_orbit_code': 13510798915667270, 'n': 28, 'trace_an': -2}
-
id: 126625028
{'hecke_orbit_code': 13510798915667270, 'n': 29, 'trace_an': -3}
-
id: 126625029
{'hecke_orbit_code': 13510798915667270, 'n': 30, 'trace_an': 0}
-
id: 126625030
{'hecke_orbit_code': 13510798915667270, 'n': 31, 'trace_an': 5}
-
id: 126625031
{'hecke_orbit_code': 13510798915667270, 'n': 32, 'trace_an': -1}
-
id: 126625032
{'hecke_orbit_code': 13510798915667270, 'n': 33, 'trace_an': 0}
-
id: 126625033
{'hecke_orbit_code': 13510798915667270, 'n': 34, 'trace_an': -3}
-
id: 126625034
{'hecke_orbit_code': 13510798915667270, 'n': 35, 'trace_an': 0}
-
id: 126625035
{'hecke_orbit_code': 13510798915667270, 'n': 36, 'trace_an': 0}
-
id: 126625036
{'hecke_orbit_code': 13510798915667270, 'n': 37, 'trace_an': 10}
-
id: 126625037
{'hecke_orbit_code': 13510798915667270, 'n': 38, 'trace_an': 4}
-
id: 126625038
{'hecke_orbit_code': 13510798915667270, 'n': 39, 'trace_an': 0}
-
id: 126625039
{'hecke_orbit_code': 13510798915667270, 'n': 40, 'trace_an': 0}
-
id: 126625040
{'hecke_orbit_code': 13510798915667270, 'n': 41, 'trace_an': 0}
-
id: 126625041
{'hecke_orbit_code': 13510798915667270, 'n': 42, 'trace_an': 0}
-
id: 126625042
{'hecke_orbit_code': 13510798915667270, 'n': 43, 'trace_an': 1}
-
id: 126625043
{'hecke_orbit_code': 13510798915667270, 'n': 44, 'trace_an': 3}
-
id: 126625044
{'hecke_orbit_code': 13510798915667270, 'n': 45, 'trace_an': 0}
-
id: 126625045
{'hecke_orbit_code': 13510798915667270, 'n': 46, 'trace_an': -9}
-
id: 126625046
{'hecke_orbit_code': 13510798915667270, 'n': 47, 'trace_an': -9}
-
id: 126625047
{'hecke_orbit_code': 13510798915667270, 'n': 48, 'trace_an': 0}
-
id: 126625048
{'hecke_orbit_code': 13510798915667270, 'n': 49, 'trace_an': -3}
-
id: 126625049
{'hecke_orbit_code': 13510798915667270, 'n': 50, 'trace_an': 0}
-
id: 126625050
{'hecke_orbit_code': 13510798915667270, 'n': 51, 'trace_an': 0}
-
id: 126625051
{'hecke_orbit_code': 13510798915667270, 'n': 52, 'trace_an': -5}
-
id: 126625052
{'hecke_orbit_code': 13510798915667270, 'n': 53, 'trace_an': 12}
-
id: 126625053
{'hecke_orbit_code': 13510798915667270, 'n': 54, 'trace_an': 0}
-
id: 126625054
{'hecke_orbit_code': 13510798915667270, 'n': 55, 'trace_an': 0}
-
id: 126625055
{'hecke_orbit_code': 13510798915667270, 'n': 56, 'trace_an': 2}
-
id: 126625056
{'hecke_orbit_code': 13510798915667270, 'n': 57, 'trace_an': 0}
-
id: 126625057
{'hecke_orbit_code': 13510798915667270, 'n': 58, 'trace_an': 3}
-
id: 126625058
{'hecke_orbit_code': 13510798915667270, 'n': 59, 'trace_an': 12}
-
id: 126625059
{'hecke_orbit_code': 13510798915667270, 'n': 60, 'trace_an': 0}
-
id: 126625060
{'hecke_orbit_code': 13510798915667270, 'n': 61, 'trace_an': 2}
-
id: 126625061
{'hecke_orbit_code': 13510798915667270, 'n': 62, 'trace_an': -5}
-
id: 126625062
{'hecke_orbit_code': 13510798915667270, 'n': 63, 'trace_an': 0}
-
id: 126625063
{'hecke_orbit_code': 13510798915667270, 'n': 64, 'trace_an': 1}
-
id: 126625064
{'hecke_orbit_code': 13510798915667270, 'n': 65, 'trace_an': 0}
-
id: 126625065
{'hecke_orbit_code': 13510798915667270, 'n': 66, 'trace_an': 0}
-
id: 126625066
{'hecke_orbit_code': 13510798915667270, 'n': 67, 'trace_an': 4}
-
id: 126625067
{'hecke_orbit_code': 13510798915667270, 'n': 68, 'trace_an': 3}
-
id: 126625068
{'hecke_orbit_code': 13510798915667270, 'n': 69, 'trace_an': 0}
-
id: 126625069
{'hecke_orbit_code': 13510798915667270, 'n': 70, 'trace_an': 0}
-
id: 126625070
{'hecke_orbit_code': 13510798915667270, 'n': 71, 'trace_an': 12}
-
id: 126625071
{'hecke_orbit_code': 13510798915667270, 'n': 72, 'trace_an': 0}
-
id: 126625072
{'hecke_orbit_code': 13510798915667270, 'n': 73, 'trace_an': 10}
-
id: 126625073
{'hecke_orbit_code': 13510798915667270, 'n': 74, 'trace_an': -10}
-
id: 126625074
{'hecke_orbit_code': 13510798915667270, 'n': 75, 'trace_an': 0}
-
id: 126625075
{'hecke_orbit_code': 13510798915667270, 'n': 76, 'trace_an': -4}
-
id: 126625076
{'hecke_orbit_code': 13510798915667270, 'n': 77, 'trace_an': -6}
-
id: 126625077
{'hecke_orbit_code': 13510798915667270, 'n': 78, 'trace_an': 0}
-
id: 126625078
{'hecke_orbit_code': 13510798915667270, 'n': 79, 'trace_an': -13}
-
id: 126625079
{'hecke_orbit_code': 13510798915667270, 'n': 80, 'trace_an': 0}
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