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mf_newforms • Show schema
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{'Nk2': 17248, 'analytic_conductor': 34.4314933515761, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [11, 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': [4312, 1, [1079, 2157, 3433, 3137], [1, 1, 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, [-2, 1]], [13, [-3, 1]], [17, [2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915670232, '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': '4312.2.a.d', 'level': 4312, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '616.2.q.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{5}-2q^{9}-q^{11}+3q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4312/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4312.2.a', 'trace_display': [0, -1, 2, 0], 'trace_hash': 1823155251734764925, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.959', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [2], [0], [0], [0], [-2], [0], [-1], [0], [3], [0], [-2], [0], [-2], [0], [4], [0], [0], [0], [-4], [0], [-1], [0], [5], [0], [-7], [0], [-8], [0], [1], [0], [0], [0], [12], [0], [-3], [0], [-8], [0], [8], [0], [-4], [0], [-10], [0], [0], [0], [2], [0], [14], [0], [-2], [0], [-4], [0], [-9], [0], [-5], [0], [0], [0], [6], [0], [-3], [0], [4], [0], [-6], [0], [4], [0], [1], [0], [0], [0], [-17], [0], [1], [0], [-6], [0], [-4], [0], [7], [0], [-2], [0], [0], [0], [8], [0], [8], [0], [7], [0], [2], [0]], 'ap': [[0], [-1], [2], [0], [-1], [3], [-2], [4], [-4], [-7], [-8], [12], [-8], [8], [-10], [14], [-9], [-5], [-3], [-6], [4], [-17], [-6], [-2], [7], [-3], [6], [-6], [10], [-3], [-13], [-16], [-13], [0], [10], [19], [24], [-5], [-3], [-13], [-1], [-10], [10], [0], [-3], [-4], [-4], [-24], [-10], [-16], [-4], [5], [-8], [16], [27], [21], [-12], [-13], [-11], [-24], [-16], [18], [-14], [-18], [-31], [24], [17], [-4], [-6], [14], [-18], [-21], [-28], [-7], [-3], [-6], [10], [22], [-9], [18], [8], [-8], [15], [-26], [21], [-4], [-14], [-2], [-15], [14], [12], [25], [-32], [6], [28], [-35], [-42], [-6], [2], [-41], [-14], [46], [28], [0], [38], [21], [-41], [30], [4], [22], [16], [-26], [33], [-12], [50], [-11], [19], [-42], [-16], [32], [2], [-26], [42], [33], [29], [31], [52], [6], [-10], [31], [34], [20], [-16], [-2], [42], [34], [-32], [28], [-6], [48], [-36], [9], [-10], [36], [26], [6], [-14], [-48], [-23], [-4], [17], [13], [7], [33], [-28], [34], [-20], [7], [42], [-33], [-20], [46], [0], [13], [18], [6], [-6], [-26], [36], [34], [22], [12], [-9], [-26], [-36], [-19], [-10], [-42], [4], [34], [46], [-10], [40], [-8], [-42], [-24], [53], [35], [-66], [-51], [14], [6], [17], [-66], [-32], [-9], [-56], [20], [-56], [13], [17], [-27], [-10], [40], [-9], [0], [-64], [-48], [38], [37], [36], [-18], [40], [48], [5], [-15], [27], [-10], [0], [-50], [-27], [55], [-73], [-36], [46], [-67], [-39], [2], [19], [42], [64], [-70], [37], [-50], [19], [-3], [62], [21], [43], [30], [-4], [20], [-16], [-56], [-48], [40], [16], [-61], [0], [11], [-55], [-28], [16], [-42], [19], [-6], [2], [32], [0], [78], [-64], [72], [-30], [-11], [-15], [-19], [4], [-11], [-48], [66], [-14], [76], [-43], [0], [66], [-70], [41], [-41], [32], [-36], [-63], [2], [27], [-15], [-34], [30], [-9], [-14], [24], [-72], [-42], [7], [38], [46], [-19], [37], [-48], [-16], [54], [44], [14], [69], [-75], [-9], [39], [41], [51], [-68], [34], [38], [47], [20], [-80], [-56], [11], [70], [85], [-80], [-62], [-42], [-22], [-13], [27], [-38], [2], [-43], [-20], [-44], [3], [-45], [-42], [48], [37], [16], [56], [-37], [-62], [52], [47], [-92], [-48], [-42], [15], [-76], [-64], [-12], [22], [55], [-56], [26], [92], [10], [-24], [21], [54], [-72], [48], [2], [-60], [-84], [-13], [48], [24], [0], [15], [65], [30], [72], [10], [-19], [20], [-3], [-26], [67], [-24], [-35], [12], [38], [-82], [-68], [-50], [-46], [1], [-18], [32], [-30], [56], [-4], [-16], [-86], [-43], [-50], [-33], [-33], [-62], [-4], [-35], [1], [-65], [-33], [-9], [-1], [-93], [-99], [-49], [-28], [32], [-20], [60], [9], [30], [-42], [65], [10], [30], [90], [85], [-44], [-3], [73], [12], [-61], [-102], [66], [93], [-12], [55], [-30], [-97], [31]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915670232, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4312.2.a.d', 'level': 4312, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [7, -1], [11, 1]], 11, 7], [[[2, -1], [7, -1], [11, -1]], 16, 7], [[[2, 1], [7, 1], [11, 1]], 15, 4], [[[2, 1], [7, -1], [11, -1]], 14, 4], [[[2, -1], [7, -1], [11, 1]], 10, 5], [[[2, -1], [7, 1], [11, 1]], 17, 2], [[[2, 1], [7, 1], [11, -1]], 11, 3], [[[2, -1], [7, 1], [11, -1]], 9, 4]], 'ALdims': [15, 11, 11, 14, 17, 9, 10, 16], 'Nk2': 17248, 'analytic_conductor': 34.4314933515761, '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': [4312, 1, [1079, 2157, 3433, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 103, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13, 17], 'hecke_orbit_code': 33558744, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 12], 'label': '4312.2.a', 'level': 4312, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 704, 'mf_new_dim': 103, 'num_forms': 36, 'plus_dim': 48, 'prim_orbit_index': 1, 'relative_dim': 103, 'sturm_bound': 1344, 'trace_bound': 15, 'trace_display': [0, 2, -4, 0], 'traces': [103, 0, 2, 0, -4, 0, 0, 0, 101, 0, -3, 0, 6, 0, -14, 0, -2, 0, 4, 0, 0, 0, -6, 0, 107, 0, -10, 0, 14, 0, 18, 0, -2, 0, 0, 0, -12, 0, -16, 0, 2, 0, 0, 0, -10, 0, -16, 0, 0, 0, -20, 0, 34, 0, 0, 0, 40, 0, 14, 0, -18, 0, 0, 0, 52, 0, -14, 0, 2, 0, -18, 0, -6, 0, 24, 0, 0, 0, 28, 0, 127, 0, -24, 0, 16, 0, 16, 0, 8, 0, 0, 0, -30, 0, 64, 0, 12, 0, -9, 0, -6, 0, -8, 0, 0, 0, 8, 0, 2, 0, 38, 0, 52, 0, -6, 0, 46, 0, 0, 0, 103, 0, 24, 0, -54, 0, 32, 0, 52, 0, -8, 0, 0, 0, -42, 0, 44, 0, 56, 0, 16, 0, 2, 0, 28, 0, 0, 0, 10, 0, -140, 0, 66, 0, -46, 0, 20, 0, -12, 0, 0, 0, -172, 0, -2, 0, -8, 0, 105, 0, -60, 0, 2, 0, 0, 0, 102, 0, 10, 0, 64, 0, -208, 0, 26, 0, -2, 0, 0, 0, -42, 0, 50, 0, -64, 0, -134, 0, 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mf_twists_nf • Show schema
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id: 1198719
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4312.2.a.d', 'source_level': 4312, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '616.2.q.a', 'target_level': 616, 'twist_class_label': '616.2.q.a', 'twist_class_level': 616, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1198720
{'conductor': 28, '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': '4312.2.a.d', 'source_level': 4312, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1232.2.q.b', 'target_level': 1232, 'twist_class_label': '616.2.q.a', 'twist_class_level': 616, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1198721
{'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': '4312.2.a.d', 'source_level': 4312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4312.2.a.d', 'target_level': 4312, 'twist_class_label': '616.2.q.a', 'twist_class_level': 616, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1198722
{'conductor': 7, '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': '4312.2.a.d', 'source_level': 4312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4312.2.a.g', 'target_level': 4312, 'twist_class_label': '616.2.q.a', 'twist_class_level': 616, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1198723
{'conductor': 28, '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': '4312.2.a.d', 'source_level': 4312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '8624.2.a.i', 'target_level': 8624, 'twist_class_label': '616.2.q.a', 'twist_class_level': 616, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1198724
{'conductor': 4, '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': '4312.2.a.d', 'source_level': 4312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '8624.2.a.v', 'target_level': 8624, 'twist_class_label': '616.2.q.a', 'twist_class_level': 616, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3562075
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 2}
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id: 3562076
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 3}
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id: 3562077
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 5}
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id: 3562078
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 7}
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id: 3562079
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 11}
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id: 3562080
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 13}
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id: 3562081
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 17}
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id: 3562082
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 19}
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id: 3562083
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 23}
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id: 3562084
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 29}
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id: 3562085
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 31}
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id: 3562086
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 37}
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id: 3562087
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 41}
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id: 3562088
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 43}
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id: 3562089
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 47}
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id: 3562090
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 53}
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id: 3562091
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 59}
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id: 3562092
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 61}
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id: 3562093
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 67}
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id: 3562094
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 71}
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id: 3562095
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 73}
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id: 3562096
{'charpoly_factorization': [[[17, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 79}
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id: 3562097
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 83}
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id: 3562098
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 89}
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id: 3562099
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 13510798915670232, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '4312.2.a.d', 'level': 4312, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 129159000
{'hecke_orbit_code': 13510798915670232, 'n': 1, 'trace_an': 1}
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id: 129159001
{'hecke_orbit_code': 13510798915670232, 'n': 2, 'trace_an': 0}
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id: 129159002
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{'hecke_orbit_code': 13510798915670232, 'n': 997, 'trace_an': -26}
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id: 129159997
{'hecke_orbit_code': 13510798915670232, 'n': 998, 'trace_an': 0}
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id: 129159998
{'hecke_orbit_code': 13510798915670232, 'n': 999, 'trace_an': 60}
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id: 129159999
{'hecke_orbit_code': 13510798915670232, 'n': 1000, 'trace_an': 0}