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{'Nk2': 18900, 'analytic_conductor': 37.72931495505498, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [7, 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': [4725, 1, [4376, 1702, 2026], [1, 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': [[2, [0, 1]], [11, [6, 1]], [13, [-4, 1]], [37, [-7, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052523125, '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': '4725.2.a.i', 'level': 4725, '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': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '189.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}-q^{7}-6q^{11}+4q^{13}+4q^{16}+\\cdots', 'related_objects': ['EllipticCurve/Q/4725/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4725.2.a', 'trace_display': [0, 0, 0, -1], 'trace_hash': 2003644942836397057, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [-2], [0], [0], [-1], [0], [0], [0], [-6], [0], [4], [0], [0], [4], [3], [0], [2], [0], [0], [0], [-6], [0], [0], [0], [0], [2], [6], [0], [-4], [0], [0], [0], [0], [0], [7], [0], [0], [0], [3], [0], [1], [12], [0], [0], [9], [0], [1], [0], [0], [-8], [-6], [0], [0], [0], [0], [0], [-9], [0], [-10], [0], [0], [-8], [0], [0], [4], [-6], [0], [0], [0], [0], [-2], [0], [0], [-4], [6], [0], [-1], [0], [0], [0], [3], [0], [0], [0], [0], [0], [-6], [0], [-4], [12], [0], [0], [0], [0], [10], [0], [0], [0]], 'ap': [[0], [0], [0], [-1], [-6], [4], [3], [2], [-6], [6], [-4], [7], [3], [1], [9], [-6], [-9], [-10], [4], [0], [-2], [-1], [3], [-6], [10], [-6], [-14], [6], [11], [-12], [7], [-12], [-12], [-22], [6], [-19], [-14], [7], [-3], [-18], [-12], [20], [-18], [13], [-18], [20], [-4], [-8], [-12], [-4], [24], [12], [8], [-27], [-6], [-12], [-3], [2], [-17], [-30], [-14], [33], [-2], [-9], [-8], [18], [-1], [13], [0], [8], [-21], [-6], [10], [-23], [29], [-15], [-6], [-2], [-12], [-4], [21], [-10], [-12], [16], [-28], [18], [0], [-26], [15], [-5], [24], [21], [16], [-24], [5], [-27], [-39], [-39], [16], [-43], [1], [12], [0], [18], [23], [16], [12], [15], [-18], [8], [40], [34], [-30], [-10], [-7], [30], [-14], [-24], [-24], [24], [32], [-26], [-18], [12], [44], [-36], [-1], [-33], [10], [-32], [20], [6], [-4], [-47], [51], [-40], [21], [-14], [6], [6], [-52], [36], [-5], [-36], [2], [-21], [-44], [-3], [-22], [6], [31], [18], [7], [21], [55], [-30], [29], [27], [34], [-27], [36], [54], [40], [21], [-36], [-3], [47], [10], [29], [57], [-60], [50], [24], [-35], [14], [-15], [-28], [24], [16], [-10], [1], [33], [22], [-57], [18], [3], [-38], [64], [-22], [-3], [-56], [12], [29], [27], [-60], [63], [-22], [37], [-6], [-57], [36], [-28], [-50], [26], [-45], [-15], [-34], [12], [-30], [-4], [43], [30], [1], [63], [9], [-46], [-23], [30], [60], [24], [-13], [-40], [-48], [25], [15], [-55], [9], [-30], [-62], [0], [-14], [-16], [23], [-36], [-26], [24], [32], [-66], [66], [63], [-12], [-52], [4], [-70], [-66], [27], [-38], [-63], [5], [-54], [31], [66], [54], [62], [33], [-42], [-25], [-62], [-54], [34], [-44], [-42], [-76], [-74], [-18], [44], [0], [-30], [-77], [-54], [-40], [16], [28], [23], [58], [-2], [-60], [35], [11], [45], [-9], [-13], [57], [-64], [-50], [12], [-29], [-30], [-46], [27], [-6], [3], [-6], [-51], [-35], [-45], [62], [3], [57], [-26], [4], [-12], [-16], [-48], [41], [34], [60], [-22], [-48], [-38], [36], [-12], [18], [31], [36], [2], [15], [18], [10], [12], [26], [-5], [63], [88], [-12], [38], [-61], [-80], [-18], [-54], [-10], [54], [26], [-57], [65], [45], [-34], [-51], [-4], [88], [-35], [-78], [21], [-64], [-18], [-18], [20], [-71], [-39], [78], [32], [-65], [-78], [46], [59], [27], [-12], [51], [48], [-6], [73], [-9], [12], [-72], [52], [91], [-33], [-11], [11], [-96], [92], [66], [60], [32], [-38], [36], [-72], [-92], [-78], [28], [75], [78], [16], [-66], [14], [-24], [-64], [76], [-101], [96], [-1], [-54], [6], [28], [-18], [58], [-70], [-3], [-76], [-18], [-4], [24], [-41], [-15], [-66], [2], [-17], [6], [76], [36], [64], [0], [-72], [53], [-23], [30], [84], [-26], [63], [-60], [12], [-74], [48], [-33], [16], [45], [-72], [18], [-70], [48]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 36028797052523125, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4725.2.a.i', 'level': 4725, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [17, 19, 22, 18, 19, 17, 18, 22], 'Nk2': 18900, 'analytic_conductor': 37.72931495505498, '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': [4725, 1, [4376, 1702, 2026], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 152, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13, 37], 'hecke_orbit_code': 33559157, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8], 'label': '4725.2.a', 'level': 4725, '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': [3, 5, 7], 'level_radical': 105, 'mf_dim': 756, 'mf_new_dim': 152, 'num_forms': 58, 'plus_dim': 70, 'prim_orbit_index': 1, 'relative_dim': 152, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [152, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 116, 0, 0, -12, 0, 0, -28, 0, 0, 0, 0, 0, -16, 0, 0, -12, 0, 0, 36, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 20, 0, 0, 152, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 36, 0, 0, 100, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 32, 0, 0, -44, 0, 0, 44, 0, 0, 0, 0, 0, 12, 0, 0, 4, 0, 0, 124, 0, 0, -12, 0, 0, 0, 0, 0, -40, 0, 0, 104, 0, 0, -48, 0, 0, -48, 0, 0, 0, 0, 0, 68, 0, 0, 156, 0, 0, 32, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 136, 0, 0, 4, 0, 0, -52, 0, 0, 0, 0, 0, 84, 0, 0, 4, 0, 0, -24, 0, 0, 28, 0, 0, 0, 0, 0, -76, 0, 0, 100, 0, 0, 184, 0, 0, -80, 0, 0, 0, 0, 0, 312, 0, 0, -80, 0, 0, 252, 0, 0, 36, 0, 0, 0, 0, 0, 132, 0, 0, 148, 0, 0, 16, 0, 0, -24, 0, 0, 0, 0, 0, 288, 0, 0, -16, 0, 0, -48, 0, 0, 40, 0, 0, 0, 0, 0, -108, 0, 0, -216, 0, 0, -336, 0, 0, 48, 0, 0, 0, 0, 0, 52, 0, 0, -364, 0, 0, 352, 0, 0, -24, 0, 0, 0, 0, 0, -100, 0, 0, 196, 0, 0, -32, 0, 0, -88, 0, 0, 0, 0, 0, 144, 0, 0, 72, 0, 0, -40, 0, 0, -56, 0, 0, 0, 0, 0, -84, 0, 0, 24, 0, 0, -132, 0, 0, -48, 0, 0, 0, 0, 0, -152, 0, 0, -80, 0, 0, 152, 0, 0, -128, 0, 0, 0, 0, 0, 96, 0, 0, -112, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -56, 0, 0, 84, 0, 0, 324, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, -32, 0, 0, 252, 0, 0, 0, 0, 0, -232, 0, 0, 148, 0, 0, 24, 0, 0, 8, 0, 0, 0, 0, 0, -88, 0, 0, 240, 0, 0, 20, 0, 0, 116, 0, 0, 0, 0, 0, 88, 0, 0, 104, 0, 0, -440, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, -224, 0, 0, -56, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, -300, 0, 0, -128, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, -292, 0, 0, 200, 0, 0, -264, 0, 0, 0, 0, 0, -88, 0, 0, 4, 0, 0, -272, 0, 0, -36, 0, 0, 0, 0, 0, 260, 0, 0, -184, 0, 0, -24, 0, 0, 416, 0, 0, 0, 0, 0, 160, 0, 0, -220, 0, 0, 88, 0, 0, -224, 0, 0, 0, 0, 0, 148, 0, 0, 152, 0, 0, -44, 0, 0, -140, 0, 0, 0, 0, 0, 64, 0, 0, 32, 0, 0, -168, 0, 0, 20, 0, 0, 0, 0, 0, 44, 0, 0, -412, 0, 0, 132, 0, 0, 100, 0, 0, 0, 0, 0, -244, 0, 0, 184, 0, 0, 80, 0, 0, 148, 0, 0, 0, 0, 0, 24, 0, 0, -336, 0, 0, 244, 0, 0, -200, 0, 0, 0, 0, 0, -380, 0, 0, -84, 0, 0, 48, 0, 0, 136, 0, 0, 0, 0, 0, 80, 0, 0, -444, 0, 0, 148, 0, 0, 76, 0, 0, 0, 0, 0, -272, 0, 0, 180, 0, 0, -440, 0, 0, 116, 0, 0, 0, 0, 0, -76, 0, 0, -144, 0, 0, -140, 0, 0, -316, 0, 0, 0, 0, 0, -256, 0, 0, 236, 0, 0, -344, 0, 0, 12, 0, 0, 0, 0, 0, -176, 0, 0, 40, 0, 0, -188, 0, 0, -320, 0, 0, 0, 0, 0, 4, 0, 0, 380, 0, 0, 392, 0, 0, -56, 0, 0, 0, 0, 0, 128, 0, 0, 444, 0, 0, 76, 0, 0, -136, 0, 0, 0, 0, 0, -400, 0, 0, -180, 0, 0, 4, 0, 0, 244, 0, 0, 0, 0, 0, 20, 0, 0, 84, 0, 0, -344, 0, 0, 224, 0, 0, 0, 0, 0, 32, 0, 0, 84, 0, 0, -144, 0, 0, 236, 0, 0, 0, 0, 0, -32, 0, 0, 468, 0, 0, 88, 0, 0, -56, 0, 0, 0, 0, 0, 136, 0, 0, 296, 0, 0, -296, 0, 0, 300, 0, 0, 0, 0, 0, -56, 0, 0, -156, 0, 0, 120, 0, 0, -120, 0, 0, 0, 0, 0, 192, 0, 0, 420, 0, 0, 116, 0, 0, 80, 0, 0, 0, 0, 0, -144, 0, 0, 120, 0, 0, 172, 0, 0, 160, 0, 0, 0, 0, 0, 304, 0, 0, 324, 0, 0, -20, 0, 0, -116, 0, 0, 0, 0, 0, 140, 0, 0, 156, 0, 0, 84, 0, 0, 576, 0, 0, 0, 0, 0, -396, 0, 0, -264, 0, 0, -392, 0, 0, -32, 0, 0, 0, 0, 0, 56, 0, 0, -992, 0, 0, 232, 0, 0, -164, 0, 0, 0, 0, 0, 204, 0, 0, -88, 0, 0, -256, 0, 0, 52, 0, 0, 0, 0, 0, 52, 0, 0, -684, 0, 0, 32, 0, 0, -320, 0, 0, 0, 0, 0, 88, 0, 0, -832, 0, 0, -360, 0, 0, 244, 0, 0, 0, 0, 0, -436, 0, 0, -1488, 0, 0, 180, 0, 0, -292, 0, 0, 0, 0, 0, 456, 0, 0, -12, 0, 0, -32, 0, 0, 172, 0, 0, 0, 0, 0, 240, 0, 0, 384, 0, 0, -792, 0, 0, 112, 0, 0, 0, 0, 0, 396, 0, 0, 44, 0, 0, -888, 0, 0, 120, 0, 0, 0, 0, 0, -36, 0, 0, 336, 0, 0, 360, 0, 0, 196, 0, 0, 0, 0, 0, -280, 0, 0, 236, 0, 0, -136, 0, 0, 92, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1220645
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '189.2.a.b', 'target_level': 189, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1220646
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '189.2.a.c', 'target_level': 189, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1220647
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '567.2.f.d', 'target_level': 567, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1220648
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '567.2.f.e', 'target_level': 567, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1220649
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1323.2.a.h', 'target_level': 1323, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1220650
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1323.2.a.l', 'target_level': 1323, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1220651
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3024.2.a.f', 'target_level': 3024, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1220652
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3024.2.a.y', 'target_level': 3024, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1220653
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4725.2.a.i', 'target_level': 4725, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1220654
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '4725.2.a.i', 'source_level': 4725, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4725.2.a.k', 'target_level': 4725, 'twist_class_label': '189.2.a.b', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3687600
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 2}
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id: 3687601
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 3}
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id: 3687602
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 5}
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id: 3687603
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 7}
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id: 3687604
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 11}
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id: 3687605
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 13}
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id: 3687606
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 17}
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id: 3687607
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 19}
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id: 3687608
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 23}
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id: 3687609
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 29}
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id: 3687610
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 31}
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id: 3687611
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 37}
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id: 3687612
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 41}
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id: 3687613
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 43}
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id: 3687614
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 47}
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id: 3687615
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 53}
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id: 3687616
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 59}
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id: 3687617
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 61}
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id: 3687618
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 67}
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id: 3687619
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 71}
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id: 3687620
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 73}
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id: 3687621
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 79}
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id: 3687622
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 83}
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id: 3687623
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 89}
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id: 3687624
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052523125, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '4725.2.a.i', 'level': 4725, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50835781
{'hecke_orbit_code': 36028797052523125, 'n': 1, 'trace_an': 1}
-
id: 50835782
{'hecke_orbit_code': 36028797052523125, 'n': 2, 'trace_an': 0}
-
id: 50835783
{'hecke_orbit_code': 36028797052523125, 'n': 3, 'trace_an': 0}
-
id: 50835784
{'hecke_orbit_code': 36028797052523125, 'n': 4, 'trace_an': -2}
-
id: 50835785
{'hecke_orbit_code': 36028797052523125, 'n': 5, 'trace_an': 0}
-
id: 50835786
{'hecke_orbit_code': 36028797052523125, 'n': 6, 'trace_an': 0}
-
id: 50835787
{'hecke_orbit_code': 36028797052523125, 'n': 7, 'trace_an': -1}
-
id: 50835788
{'hecke_orbit_code': 36028797052523125, 'n': 8, 'trace_an': 0}
-
id: 50835789
{'hecke_orbit_code': 36028797052523125, 'n': 9, 'trace_an': 0}
-
id: 50835790
{'hecke_orbit_code': 36028797052523125, 'n': 10, 'trace_an': 0}
-
id: 50835791
{'hecke_orbit_code': 36028797052523125, 'n': 11, 'trace_an': -6}
-
id: 50835792
{'hecke_orbit_code': 36028797052523125, 'n': 12, 'trace_an': 0}
-
id: 50835793
{'hecke_orbit_code': 36028797052523125, 'n': 13, 'trace_an': 4}
-
id: 50835794
{'hecke_orbit_code': 36028797052523125, 'n': 14, 'trace_an': 0}
-
id: 50835795
{'hecke_orbit_code': 36028797052523125, 'n': 15, 'trace_an': 0}
-
id: 50835796
{'hecke_orbit_code': 36028797052523125, 'n': 16, 'trace_an': 4}
-
id: 50835797
{'hecke_orbit_code': 36028797052523125, 'n': 17, 'trace_an': 3}
-
id: 50835798
{'hecke_orbit_code': 36028797052523125, 'n': 18, 'trace_an': 0}
-
id: 50835799
{'hecke_orbit_code': 36028797052523125, 'n': 19, 'trace_an': 2}
-
id: 50835800
{'hecke_orbit_code': 36028797052523125, 'n': 20, 'trace_an': 0}
-
id: 50835801
{'hecke_orbit_code': 36028797052523125, 'n': 21, 'trace_an': 0}
-
id: 50835802
{'hecke_orbit_code': 36028797052523125, 'n': 22, 'trace_an': 0}
-
id: 50835803
{'hecke_orbit_code': 36028797052523125, 'n': 23, 'trace_an': -6}
-
id: 50835804
{'hecke_orbit_code': 36028797052523125, 'n': 24, 'trace_an': 0}
-
id: 50835805
{'hecke_orbit_code': 36028797052523125, 'n': 25, 'trace_an': 0}
-
id: 50835806
{'hecke_orbit_code': 36028797052523125, 'n': 26, 'trace_an': 0}
-
id: 50835807
{'hecke_orbit_code': 36028797052523125, 'n': 27, 'trace_an': 0}
-
id: 50835808
{'hecke_orbit_code': 36028797052523125, 'n': 28, 'trace_an': 2}
-
id: 50835809
{'hecke_orbit_code': 36028797052523125, 'n': 29, 'trace_an': 6}
-
id: 50835810
{'hecke_orbit_code': 36028797052523125, 'n': 30, 'trace_an': 0}
-
id: 50835811
{'hecke_orbit_code': 36028797052523125, 'n': 31, 'trace_an': -4}
-
id: 50835812
{'hecke_orbit_code': 36028797052523125, 'n': 32, 'trace_an': 0}
-
id: 50835813
{'hecke_orbit_code': 36028797052523125, 'n': 33, 'trace_an': 0}
-
id: 50835814
{'hecke_orbit_code': 36028797052523125, 'n': 34, 'trace_an': 0}
-
id: 50835815
{'hecke_orbit_code': 36028797052523125, 'n': 35, 'trace_an': 0}
-
id: 50835816
{'hecke_orbit_code': 36028797052523125, 'n': 36, 'trace_an': 0}
-
id: 50835817
{'hecke_orbit_code': 36028797052523125, 'n': 37, 'trace_an': 7}
-
id: 50835818
{'hecke_orbit_code': 36028797052523125, 'n': 38, 'trace_an': 0}
-
id: 50835819
{'hecke_orbit_code': 36028797052523125, 'n': 39, 'trace_an': 0}
-
id: 50835820
{'hecke_orbit_code': 36028797052523125, 'n': 40, 'trace_an': 0}
-
id: 50835821
{'hecke_orbit_code': 36028797052523125, 'n': 41, 'trace_an': 3}
-
id: 50835822
{'hecke_orbit_code': 36028797052523125, 'n': 42, 'trace_an': 0}
-
id: 50835823
{'hecke_orbit_code': 36028797052523125, 'n': 43, 'trace_an': 1}
-
id: 50835824
{'hecke_orbit_code': 36028797052523125, 'n': 44, 'trace_an': 12}
-
id: 50835825
{'hecke_orbit_code': 36028797052523125, 'n': 45, 'trace_an': 0}
-
id: 50835826
{'hecke_orbit_code': 36028797052523125, 'n': 46, 'trace_an': 0}
-
id: 50835827
{'hecke_orbit_code': 36028797052523125, 'n': 47, 'trace_an': 9}
-
id: 50835828
{'hecke_orbit_code': 36028797052523125, 'n': 48, 'trace_an': 0}
-
id: 50835829
{'hecke_orbit_code': 36028797052523125, 'n': 49, 'trace_an': 1}
-
id: 50835830
{'hecke_orbit_code': 36028797052523125, 'n': 50, 'trace_an': 0}
-
id: 50835831
{'hecke_orbit_code': 36028797052523125, 'n': 51, 'trace_an': 0}
-
id: 50835832
{'hecke_orbit_code': 36028797052523125, 'n': 52, 'trace_an': -8}
-
id: 50835833
{'hecke_orbit_code': 36028797052523125, 'n': 53, 'trace_an': -6}
-
id: 50835834
{'hecke_orbit_code': 36028797052523125, 'n': 54, 'trace_an': 0}
-
id: 50835835
{'hecke_orbit_code': 36028797052523125, 'n': 55, 'trace_an': 0}
-
id: 50835836
{'hecke_orbit_code': 36028797052523125, 'n': 56, 'trace_an': 0}
-
id: 50835837
{'hecke_orbit_code': 36028797052523125, 'n': 57, 'trace_an': 0}
-
id: 50835838
{'hecke_orbit_code': 36028797052523125, 'n': 58, 'trace_an': 0}
-
id: 50835839
{'hecke_orbit_code': 36028797052523125, 'n': 59, 'trace_an': -9}
-
id: 50835840
{'hecke_orbit_code': 36028797052523125, 'n': 60, 'trace_an': 0}
-
id: 50835841
{'hecke_orbit_code': 36028797052523125, 'n': 61, 'trace_an': -10}
-
id: 50835842
{'hecke_orbit_code': 36028797052523125, 'n': 62, 'trace_an': 0}
-
id: 50835843
{'hecke_orbit_code': 36028797052523125, 'n': 63, 'trace_an': 0}
-
id: 50835844
{'hecke_orbit_code': 36028797052523125, 'n': 64, 'trace_an': -8}
-
id: 50835845
{'hecke_orbit_code': 36028797052523125, 'n': 65, 'trace_an': 0}
-
id: 50835846
{'hecke_orbit_code': 36028797052523125, 'n': 66, 'trace_an': 0}
-
id: 50835847
{'hecke_orbit_code': 36028797052523125, 'n': 67, 'trace_an': 4}
-
id: 50835848
{'hecke_orbit_code': 36028797052523125, 'n': 68, 'trace_an': -6}
-
id: 50835849
{'hecke_orbit_code': 36028797052523125, 'n': 69, 'trace_an': 0}
-
id: 50835850
{'hecke_orbit_code': 36028797052523125, 'n': 70, 'trace_an': 0}
-
id: 50835851
{'hecke_orbit_code': 36028797052523125, 'n': 71, 'trace_an': 0}
-
id: 50835852
{'hecke_orbit_code': 36028797052523125, 'n': 72, 'trace_an': 0}
-
id: 50835853
{'hecke_orbit_code': 36028797052523125, 'n': 73, 'trace_an': -2}
-
id: 50835854
{'hecke_orbit_code': 36028797052523125, 'n': 74, 'trace_an': 0}
-
id: 50835855
{'hecke_orbit_code': 36028797052523125, 'n': 75, 'trace_an': 0}
-
id: 50835856
{'hecke_orbit_code': 36028797052523125, 'n': 76, 'trace_an': -4}
-
id: 50835857
{'hecke_orbit_code': 36028797052523125, 'n': 77, 'trace_an': 6}
-
id: 50835858
{'hecke_orbit_code': 36028797052523125, 'n': 78, 'trace_an': 0}
-
id: 50835859
{'hecke_orbit_code': 36028797052523125, 'n': 79, 'trace_an': -1}
-
id: 50835860
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