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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [37, 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': [1850, 1, [1777, 1001], [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, [0, 1]], [7, [-1, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934631738, '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': '1850.2.a.l', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.b.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{9}-3q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/1850/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1850.2.a', 'trace_display': [1, 0, 0, 1], 'trace_hash': 1507531994804934634, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.132', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [1], [0], [0], [1], [1], [-3], [0], [-3], [0], [-4], [1], [0], [1], [-3], [-3], [0], [0], [0], [-3], [-8], [0], [0], [-4], [0], [1], [-3], [0], [-7], [1], [0], [-3], [0], [-3], [-1], [0], [0], [0], [11], [0], [11], [-3], [0], [-8], [4], [0], [-6], [0], [0], [-4], [11], [0], [0], [1], [0], [-3], [-12], [0], [-15], [-7], [-3], [1], [0], [0], [-4], [-3], [0], [0], [6], [-3], [2], [-1], [0], [0], [-3], [0], [-8], [0], [9], [11], [12], [0], [0], [11], [0], [-3], [0], [0], [-4], [-8], [0], [4], [0], [0], [-1], [-6], [9], [0]], 'ap': [[1], [0], [0], [1], [-3], [-4], [-3], [0], [-8], [-3], [-7], [-1], [11], [11], [4], [11], [-12], [-15], [-4], [6], [2], [-8], [12], [0], [-1], [14], [0], [-10], [-11], [-1], [16], [-10], [6], [1], [-4], [-14], [-5], [3], [-14], [-13], [10], [-16], [-17], [-14], [2], [16], [-1], [11], [17], [20], [6], [-17], [-14], [20], [6], [31], [-16], [22], [0], [6], [-8], [-15], [-8], [3], [-14], [-21], [2], [-28], [12], [-6], [-3], [-14], [13], [38], [12], [-16], [23], [14], [10], [-4], [20], [-30], [23], [-16], [7], [34], [36], [-37], [3], [-4], [3], [-36], [36], [-36], [-18], [-26], [30], [-7], [4], [26], [35], [-6], [-19], [14], [7], [-2], [15], [-36], [-32], [-47], [-42], [-15], [-42], [-35], [37], [-25], [7], [2], [38], [48], [-25], [0], [-42], [13], [-41], [-22], [29], [20], [-14], [1], [-15], [-13], [-32], [-28], [7], [-44], [-51], [22], [12], [-12], [0], [-14], [40], [-3], [-23], [-12], [-30], [-17], [-20], [-39], [-1], [39], [29], [7], [28], [36], [-16], [-15], [28], [26], [37], [6], [-34], [-1], [33], [-11], [-45], [-44], [5], [-22], [-12], [5], [11], [36], [24], [12], [50], [-12], [-7], [-30], [-24], [18], [24], [47], [-15], [-12], [-47], [-5], [42], [-66], [-54], [6], [10], [14], [4], [30], [28], [-54], [-26], [52], [46], [52], [-57], [-11], [-37], [62], [50], [64], [-20], [-5], [-41], [-63], [-56], [-68], [17], [-13], [-22], [26], [-40], [1], [18], [-32], [-1], [12], [70], [26], [36], [-12], [21], [-48], [59], [-20], [38], [38], [42], [-45], [-66], [72], [-16], [-56], [3], [46], [-64], [31], [44], [63], [44], [-10], [39], [-20], [22], [-2], [-67], [70], [12], [51], [-4], [78], [-57], [-11], [-2], [0], [18], [-41], [38], [-17], [-74], [-40], [-34], [8], [-58], [-19], [-38], [69], [-22], [-9], [24], [-22], [-3], [-52], [64], [-5], [31], [-18], [-16], [40], [19], [31], [-8], [34], [31], [76], [-20], [69], [-13], [-6], [-56], [-54], [76], [-46], [47], [-10], [38], [76], [50], [-7], [57], [-50], [-68], [14], [-24], [66], [-45], [-32], [-18], [-36], [39], [-24], [56], [-60], [-58], [-24], [3], [-45], [-60], [-42], [-13], [1], [-18], [33], [-20], [20], [-59], [84], [14], [-30], [76], [-14], [-38], [-72], [78], [48], [-6], [-67], [-46], [36], [-48], [80], [59], [63], [55], [92], [13], [-46], [-16], [-28], [-27], [-44], [30], [-48], [38], [-22], [-18], [-6], [4], [77], [-42], [80], [30], [66], [-34], [3], [-18], [-57], [67], [-96], [-58], [76], [-36], [-44], [81], [-6], [10], [38], [6], [15], [-40], [12], [-71], [50], [-41], [42], [58], [-63], [-12], [10], [40], [21], [43], [48], [-84], [-61], [-52], [42], [22], [-20], [-2], [-23], [-70], [-3], [-36], [33], [-41], [46], [-51], [-70], [-54], [-49], [30], [-76], [54], [38], [-96], [-35], [18], [-13], [24], [-99], [4], [51]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934631738, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1850.2.a.l', 'level': 1850, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [37, -1]], 11, 4], [[[2, -1], [5, -1], [37, 1]], 5, 3], [[[2, 1], [5, 1], [37, -1]], 8, 3], [[[2, -1], [5, 1], [37, -1]], 4, 4], [[[2, -1], [5, 1], [37, 1]], 8, 5], [[[2, 1], [5, -1], [37, 1]], 9, 4], [[[2, 1], [5, -1], [37, -1]], 5, 4], [[[2, 1], [5, 1], [37, 1]], 7, 4]], 'ALdims': [7, 8, 9, 5, 8, 4, 5, 11], 'Nk2': 7400, 'analytic_conductor': 14.772324373936872, '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': [1850, 1, [1777, 1001], [1, 1]], 'conrey_index': 1, 'cusp_dim': 273, 'dim': 57, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33556282, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5], 'label': '1850.2.a', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 296, 'mf_new_dim': 57, 'num_forms': 31, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 570, 'trace_bound': 7, 'trace_display': [-1, -2, 0, 8], 'traces': [57, -1, -2, 57, 0, 4, 8, -1, 67, 0, 6, -2, 2, 4, 0, 57, 2, -5, 4, 0, 20, -8, 12, 4, 0, -12, 4, 8, 22, 0, -4, -1, 32, -6, 0, 67, -1, 0, 44, 0, -8, -8, 16, 6, 0, 2, 4, -2, 81, 0, -12, 2, -18, 4, 0, 4, -4, -4, -44, 0, 14, 6, 68, 57, 0, -36, -2, 2, 16, 0, 0, -5, 20, 5, 0, 4, -28, 38, 60, 0, 81, -2, 24, 20, 0, -24, 20, -8, 38, 0, 56, 12, 24, 24, 0, 4, -14, 7, -40, 0, 22, -12, 36, -12, 0, 2, -46, 4, 30, 0, 0, 8, -38, -12, 0, 22, -46, 0, -32, 0, 27, -16, -46, -4, 0, -48, 48, -1, -108, 0, -52, 32, 32, -52, 0, -6, -60, 54, -42, 0, -44, 0, -56, 67, 0, -2, -18, -1, -122, 0, -12, 0, 22, -20, 0, 44, 2, 34, -24, 0, -136, 15, 16, -8, 0, -40, -36, -8, 105, 0, 48, 16, 10, -10, 0, 6, -76, -50, 80, 0, -26, 44, 56, 2, 0, 4, 12, 4, 80, 0, -28, -2, -2, -2, 0, 81, 6, -12, 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mf_twists_nf • Show schema
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id: 826316
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1850.2.a.l', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '370.2.b.b', 'target_level': 370, 'twist_class_label': '370.2.b.b', 'twist_class_level': 370, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826317
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1850.2.a.l', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1850.2.a.d', 'target_level': 1850, 'twist_class_label': '370.2.b.b', 'twist_class_level': 370, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 826318
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1850.2.a.l', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1850.2.a.l', 'target_level': 1850, 'twist_class_label': '370.2.b.b', 'twist_class_level': 370, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826319
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1850.2.a.l', 'source_level': 1850, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3330.2.d.c', 'target_level': 3330, 'twist_class_label': '370.2.b.b', 'twist_class_level': 370, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2252600
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 2}
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id: 2252601
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 3}
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id: 2252602
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 5}
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id: 2252603
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 7}
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id: 2252604
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 11}
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id: 2252605
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 13}
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id: 2252606
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 17}
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id: 2252607
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 19}
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id: 2252608
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 23}
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id: 2252609
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 29}
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id: 2252610
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 31}
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id: 2252611
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 37}
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id: 2252612
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 41}
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id: 2252613
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 43}
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id: 2252614
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 47}
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id: 2252615
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 53}
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id: 2252616
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 59}
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id: 2252617
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 61}
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id: 2252618
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 67}
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id: 2252619
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 71}
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id: 2252620
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 73}
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id: 2252621
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 79}
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id: 2252622
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 83}
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id: 2252623
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 89}
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id: 2252624
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934631738, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1850.2.a.l', 'level': 1850, 'portrait': 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', 'weight': 2}
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id: 215999000
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{'hecke_orbit_code': 49539595934631738, 'n': 996, 'trace_an': 0}
-
id: 215999996
{'hecke_orbit_code': 49539595934631738, 'n': 997, 'trace_an': -44}
-
id: 215999997
{'hecke_orbit_code': 49539595934631738, 'n': 998, 'trace_an': -18}
-
id: 215999998
{'hecke_orbit_code': 49539595934631738, 'n': 999, 'trace_an': 0}
-
id: 215999999
{'hecke_orbit_code': 49539595934631738, 'n': 1000, 'trace_an': 0}