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{'Nk2': 14800, 'analytic_conductor': 29.544648747873744, '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': [3700, 1, [1851, 1777, 1001], [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]], [7, [1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915669620, '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': '3700.2.a.d', 'level': 3700, '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': '740.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{7}-2q^{9}-3q^{11}+6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3700/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3700.2.a', 'trace_display': [0, 1, 0, -1], 'trace_hash': 1221859830397126343, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.047', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.156', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [-1], [0], [-2], [0], [-3], [0], [6], [0], [0], [0], [0], [0], [0], [0], [-1], [0], [-2], [0], [0], [0], [-5], [0], [-6], [0], [0], [0], [-3], [0], [0], [0], [1], [0], [6], [0], [-9], [0], [10], [0], [0], [0], [-1], [0], [-6], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [0], [0], [-12], [0], [2], [0], [0], [0], [0], [0], [-2], [0], [-5], [0], [-3], [0], [0], [0], [3], [0], [16], [0], [1], [0], [-11], [0], [0], [0], [-6], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [-8], [0], [6], [0]], 'ap': [[0], [1], [0], [-1], [-3], [6], [0], [0], [-2], [-6], [0], [1], [-9], [10], [-1], [-1], [0], [-12], [0], [-5], [-3], [16], [-11], [0], [-8], [-1], [10], [-20], [-12], [-14], [1], [0], [-2], [-12], [-9], [-8], [-15], [2], [0], [15], [18], [17], [-12], [22], [-3], [14], [-27], [-17], [8], [3], [2], [30], [-6], [6], [-20], [-5], [2], [-13], [8], [0], [-4], [-30], [11], [16], [10], [-6], [6], [-3], [34], [14], [-4], [19], [-16], [11], [-23], [24], [-36], [21], [34], [-12], [-15], [-32], [26], [19], [4], [13], [-16], [30], [14], [-6], [22], [-26], [-16], [-20], [-40], [0], [-27], [7], [26], [-8], [40], [-26], [38], [28], [17], [24], [-20], [33], [-21], [42], [-16], [-23], [3], [-31], [-8], [15], [34], [12], [36], [15], [32], [-47], [-37], [-26], [20], [20], [-40], [-3], [-28], [17], [33], [45], [11], [-10], [21], [-10], [-31], [-17], [-28], [-50], [41], [-19], [-24], [2], [-12], [-36], [2], [12], [36], [24], [46], [18], [16], [33], [0], [30], [14], [-30], [-1], [30], [36], [-9], [-6], [24], [52], [-39], [-30], [-42], [17], [-12], [-6], [46], [-60], [9], [-1], [0], [-16], [-30], [-17], [34], [4], [-6], [28], [36], [24], [41], [-17], [26], [-30], [53], [42], [-44], [50], [-43], [51], [-49], [-12], [16], [-3], [-34], [-32], [-33], [-22], [35], [-40], [0], [40], [-52], [-40], [21], [38], [-30], [-4], [-12], [-56], [27], [-54], [-58], [-62], [18], [-21], [69], [-25], [18], [45], [-52], [6], [-15], [-49], [38], [25], [61], [-19], [-51], [-67], [-67], [-14], [-54], [18], [30], [36], [44], [-65], [30], [-30], [34], [-34], [52], [-47], [4], [8], [-30], [48], [4], [34], [-39], [-11], [-12], [-61], [2], [20], [-48], [-10], [-50], [52], [55], [81], [-60], [-41], [-40], [-32], [-68], [34], [2], [14], [36], [-28], [-32], [-13], [54], [23], [18], [-52], [-67], [-10], [21], [-26], [-86], [10], [-66], [-36], [-10], [7], [-17], [87], [-65], [-65], [6], [-18], [-77], [38], [51], [5], [24], [-12], [18], [78], [-18], [-71], [46], [57], [85], [-87], [3], [-36], [-44], [-81], [-40], [-73], [-30], [-80], [-67], [-22], [20], [-1], [32], [52], [48], [-18], [-10], [-63], [-92], [-26], [-8], [-48], [-28], [85], [-19], [44], [72], [-9], [9], [-6], [-52], [30], [-38], [73], [73], [-8], [1], [-8], [-47], [-8], [-14], [74], [-6], [-20], [76], [21], [-54], [-22], [33], [94], [-70], [-9], [-26], [78], [-90], [-14], [38], [-62], [0], [66], [-62], [-5], [84], [53], [34], [42], [-77], [60], [24], [-92], [18], [-76], [-19], [13], [82], [-94], [-66], [43], [38], [-22], [-26], [-33], [94], [-28], [49], [9], [86], [-51], [-74], [84], [-10], [-18], [-71], [46], [-74], [68], [21], [-7], [-27], [78], [60], [0], [-42], [88], [-19], [-98], [24], [52], [-62], [16], [3], [6], [-3], [-60], [73], [52], [34]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915669620, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3700.2.a.d', 'level': 3700, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [37, -1]], 16, 3], [[[2, -1], [5, -1], [37, 1]], 14, 2], [[[2, -1], [5, 1], [37, -1]], 12, 5], [[[2, -1], [5, 1], [37, 1]], 15, 6]], 'ALdims': [0, 0, 0, 0, 15, 12, 14, 16], 'Nk2': 14800, 'analytic_conductor': 29.544648747873744, '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': [3700, 1, [1851, 1777, 1001], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 553, 'dim': 57, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33558132, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 5, 6, 6, 9, 9], 'label': '3700.2.a', 'level': 3700, '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': 588, 'mf_new_dim': 57, 'num_forms': 16, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 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-406, 0, 530, 0, -200, 0, 14, 0, 0, 0, 840, 0, -168, 0, 382, 0, 420, 0, 0, 0, -150, 0, -244, 0, 192, 0, 48, 0, 0, 0, -92, 0, 100, 0, 132, 0, 546, 0, 0, 0, 618, 0, -314, 0, 202, 0, 102, 0, 0, 0, 154, 0, -286, 0, -280, 0, -18, 0, 0, 0, 332, 0, -56, 0, -12, 0, 56, 0, 0, 0, -180, 0, -88, 0, 380, 0, 74, 0, 0, 0, -234, 0, 2, 0, 294, 0, -22, 0, 0, 0, -280, 0, -622, 0, 120, 0, 246, 0, 0, 0, -49, 0, 400, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1139692
{'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': '3700.2.a.d', 'source_level': 3700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '740.2.a.a', 'target_level': 740, 'twist_class_label': '740.2.a.a', 'twist_class_level': 740, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1139693
{'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': '3700.2.a.d', 'source_level': 3700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2960.2.a.h', 'target_level': 2960, 'twist_class_label': '740.2.a.a', 'twist_class_level': 740, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1139694
{'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': '3700.2.a.d', 'source_level': 3700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3700.2.a.d', 'target_level': 3700, 'twist_class_label': '740.2.a.a', 'twist_class_level': 740, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1139695
{'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': '3700.2.a.d', 'source_level': 3700, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3700.2.d.c', 'target_level': 3700, 'twist_class_label': '740.2.a.a', 'twist_class_level': 740, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1139696
{'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': '3700.2.a.d', 'source_level': 3700, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '6660.2.a.a', 'target_level': 6660, 'twist_class_label': '740.2.a.a', 'twist_class_level': 740, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3316250
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 2}
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id: 3316251
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 3}
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id: 3316252
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 5}
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id: 3316253
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 7}
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id: 3316254
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 11}
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id: 3316255
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 13}
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id: 3316256
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 17}
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id: 3316257
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 19}
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id: 3316258
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 23}
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id: 3316259
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 29}
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id: 3316260
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 31}
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id: 3316261
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 37}
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id: 3316262
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 41}
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id: 3316263
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 43}
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id: 3316264
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 47}
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id: 3316265
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 53}
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id: 3316266
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 59}
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id: 3316267
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 61}
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id: 3316268
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 67}
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id: 3316269
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 71}
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id: 3316270
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 73}
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id: 3316271
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 79}
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id: 3316272
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 83}
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id: 3316273
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 89}
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id: 3316274
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915669620, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '3700.2.a.d', 'level': 3700, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 128637000
{'hecke_orbit_code': 13510798915669620, 'n': 1, 'trace_an': 1}
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id: 128637001
{'hecke_orbit_code': 13510798915669620, 'n': 2, 'trace_an': 0}
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id: 128637002
{'hecke_orbit_code': 13510798915669620, 'n': 3, 'trace_an': 1}
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id: 128637003
{'hecke_orbit_code': 13510798915669620, 'n': 4, 'trace_an': 0}
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id: 128637004
{'hecke_orbit_code': 13510798915669620, 'n': 5, 'trace_an': 0}
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id: 128637005
{'hecke_orbit_code': 13510798915669620, 'n': 6, 'trace_an': 0}
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id: 128637006
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id: 128637990
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id: 128637991
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id: 128637992
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id: 128637993
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id: 128637994
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id: 128637997
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id: 128637998
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id: 128637999
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