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mf_newforms • Show schema
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{'Nk2': 15400, 'analytic_conductor': 30.74240477819295, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [3850, 2, [2927, 2201, 1751], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 1849, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [13, [4, 0, 1]], [17, [36, 0, 1]], [19, [4, 1]], [37, [100, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334864105226, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3850.2.c.h', 'level': 3850, '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, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '770.2.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}-q^{4}+iq^{7}-iq^{8}+3q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3850.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 288654433937032062, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.241', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 1], [0, -1], [3, 0], [0, 0], [-1, 0], [0, 0], [0, 2], [-1, 0], [0, 0], [1, 0], [0, -6], [0, 3], [-4, 0], [0, 0], [0, 0], [0, -1], [0, 4], [0, 0], [0, 0], [-2, 0], [0, 0], [0, -1], [2, 0], [0, 0], [8, 0], [0, 1], [0, 0], [6, 0], [0, 0], [-3, 0], [0, 10], [0, -4], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 12], [1, 0], [0, 0], [-4, 0], [0, -12], [0, 0], [-1, 0], [0, 0], [0, 0], [0, -2], [0, 6], [0, 0], [0, 0], [1, 0], [0, 0], [0, 2], [12, 0], [0, 0], [6, 0], [0, 8], [0, 3], [-1, 0], [0, 0], [0, 0], [0, -8], [0, 6], [0, 0], [0, 0], [-8, 0], [0, -3], [0, 14], [-10, 0], [0, 0], [4, 0], [0, -1], [0, 0], [0, 0], [0, 0], [9, 0], [0, -6], [0, 4], [0, 0], [0, 0], [-12, 0], [0, 0], [0, 1], [6, 0], [0, 0], [-2, 0], [0, -4], [0, 0], [12, 0], [0, 0], [0, 0], [0, 14], [0, -1], [-3, 0], [0, 0]], 'ap': [[0, 1], [0, 0], [0, 0], [0, 1], [-1, 0], [0, 2], [0, -6], [-4, 0], [0, 4], [2, 0], [8, 0], [0, 10], [-6, 0], [0, 12], [0, -12], [0, 6], [12, 0], [6, 0], [0, -8], [-8, 0], [0, 14], [0, 0], [0, 4], [6, 0], [0, 14], [6, 0], [0, -12], [0, -4], [-6, 0], [0, -6], [0, -8], [-4, 0], [0, 14], [-4, 0], [18, 0], [16, 0], [0, 18], [0, 24], [0, 16], [0, 26], [-4, 0], [-10, 0], [-24, 0], [0, 22], [0, 14], [-16, 0], [-28, 0], [0, -12], [0, 12], [10, 0], [0, -10], [-16, 0], [2, 0], [12, 0], [0, 6], [0, 0], [18, 0], [0, 0], [0, -10], [-30, 0], [0, -4], [0, -22], [0, 20], [24, 0], [0, 18], [0, -6], [20, 0], [0, -22], [0, 12], [10, 0], [0, -6], [-24, 0], [0, -12], [0, -30], [-4, 0], [0, -20], [10, 0], [0, -14], [2, 0], [14, 0], [12, 0], [38, 0], [16, 0], [0, 2], [-8, 0], [0, -16], [-2, 0], [0, -22], [30, 0], [0, 28], [0, 0], [-24, 0], [0, -12], [4, 0], [36, 0], [0, 24], [18, 0], [10, 0], [0, -44], [-26, 0], [0, 12], [0, 6], [0, -4], [-26, 0], [-12, 0], [0, 46], [0, -8], [0, -42], [-24, 0], [-22, 0], [0, -8], [0, -14], [0, -18], [-28, 0], [8, 0], [34, 0], [0, -16], [0, 4], [0, 30], [28, 0], [-10, 0], [0, 22], [0, -26], [0, -24], [-44, 0], [30, 0], [-38, 0], [16, 0], [0, 20], [0, -22], [12, 0], [0, 16], [-32, 0], [0, -46], [2, 0], [14, 0], [0, -18], [0, -28], [0, -14], [30, 0], [28, 0], [-42, 0], [0, -4], [0, -20], [-30, 0], [0, 0], [0, 2], [0, 18], [52, 0], [0, 36], [0, 6], [50, 0], [0, -24], [0, -16], [0, 32], [24, 0], [16, 0], [30, 0], [0, -22], [46, 0], [0, 24], [0, 38], [0, -32], [36, 0], [0, -42], [0, -12], [-24, 0], [0, -18], [54, 0], [0, -50], [36, 0], [30, 0], [-32, 0], [0, -26], [-32, 0], [-10, 0], [-28, 0], [6, 0], [0, 8], [-14, 0], [0, -28], [4, 0], [0, 30], [0, -22], [0, -52], [26, 0], [0, 22], [0, 40], [6, 0], [-24, 0], [0, 34], [0, -36], [20, 0], [-34, 0], [0, 12], [0, -46], [26, 0], [0, -50], [0, 18], [0, 48], [18, 0], [8, 0], [0, 34], [-2, 0], [-12, 0], [0, -14], [56, 0], [0, 60], [30, 0], [-60, 0], [0, -30], [6, 0], [0, 28], [0, -8], [-48, 0], [-22, 0], [0, 48], [-38, 0], [0, 12], [0, -66], [-74, 0], [16, 0], [14, 0], [0, -28], [0, -12], [50, 0], [0, -6], [40, 0], [0, -48], [-20, 0], [0, 38], [20, 0], [-64, 0], [-30, 0], [0, -64], [0, -32], [30, 0], [0, -22], [-68, 0], [64, 0], [0, -72], [-12, 0], [0, 4], [-46, 0], [0, -18], [0, 0], [0, -12], [-28, 0], [4, 0], [0, -40], [0, 30], [-38, 0], [0, 44], [70, 0], [0, -6], [12, 0], [6, 0], [0, 4], [0, -6], [0, 10], [0, 40], [0, 12], [-30, 0], [0, -14], [0, 22], [36, 0], [18, 0], [10, 0], [0, -20], [0, 42], [14, 0], [0, 56], [0, 10], [-40, 0], [0, 2], [0, -68], [0, -16], [-46, 0], [-78, 0], [-84, 0], [0, 24], [0, 0], [0, -72], [-58, 0], [0, -12], [24, 0], [0, -54], [0, 22], [24, 0], [54, 0], [-18, 0], [0, -40], [0, 54], [4, 0], [0, 2], [-46, 0], [-80, 0], [0, 14], [-4, 0], [0, 36], [0, 70], [0, 6], [24, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 31525334864105226, 'hecke_ring_character_values': [[2927, [-1, 0]], [2201, [1, 0]], [1751, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3850.2.c.h', 'level': 3850, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 15400, 'analytic_conductor': 30.74240477819295, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [3850, 2, [2927, 2201, 1751], [1, 2, 2]], 'conrey_index': 1849, 'cusp_dim': 696, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19, 37], 'hecke_orbit_code': 137472511754, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '3850.2.c', 'level': 3850, '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, 5, 7, 11], 'level_radical': 770, 'mf_dim': 744, 'mf_new_dim': 92, 'num_forms': 29, 'prim_orbit_index': 2, 'relative_dim': 92, 'sturm_bound': 1440, 'trace_bound': 29, 'trace_display': [0, 0, 0, 0], 'traces': [92, 0, 0, -92, 0, 0, 0, 0, -108, 0, 4, 0, 0, -8, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -40, 0, 24, 0, 0, -40, 0, 108, 0, 0, 48, 0, -40, 0, 0, -4, 0, 0, 0, 0, -92, 0, 16, 0, 0, 0, 0, 8, 0, 0, 88, 0, 8, 0, 0, -92, 0, 0, 0, 0, 16, 0, -8, 0, 0, -8, 0, 0, 0, 0, -32, 0, 140, 0, 0, 0, 0, 24, 0, 0, -80, 0, 8, 0, 0, 0, 0, 0, 0, 0, -52, 0, 120, 0, 0, -24, 0, 72, 0, 0, -40, 0, 64, 0, 0, -48, 0, 40, 0, 0, 16, 0, 92, 0, 0, -24, 0, 24, 0, 0, 96, 0, -112, 0, 0, 48, 0, 40, 0, 0, -16, 0, -80, 0, 0, -108, 0, -8, 0, 0, 200, 0, -16, 0, 0, -8, 0, -48, 0, 0, 176, 0, -32, 0, 0, 40, 0, 0, 0, 0, 4, 0, -320, 0, 0, 128, 0, 4, 0, 0, 80, 0, 32, 0, 0, 0, 0, -16, 0, 0, 0, 0, -184, 0, 0, -8, 0, 92, 0, 0, 8, 0, 96, 0, 0, -16, 0, -128, 0, 0, 32, 0, -112, 0, 0, -8, 0, 0, 0, 0, 192, 0, -16, 0, 0, -8, 0, 88, 0, 0, -80, 0, 0, 0, 0, -24, 0, -88, 0, 0, 96, 0, 200, 0, 0, -8, 0, 112, 0, 0, 144, 0, -72, 0, 0, -48, 0, 92, 0, 0, 64, 0, -24, 0, 0, 0, 0, -16, 0, 0, -48, 0, 0, 0, 0, -40, 0, -16, 0, 0, -8, 0, -120, 0, 0, 8, 0, -32, 0, 0, -212, 0, -240, 0, 0, 0, 0, 8, 0, 0, 208, 0, -16, 0, 0, 0, 0, 168, 0, 0, 80, 0, -8, 0, 0, -40, 0, 32, 0, 0, 32, 0, -128, 0, 0, -140, 0, -16, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 112, 0, 40, 0, 0, -24, 0, 104, 0, 0, 24, 0, 80, 0, 0, -112, 0, 80, 0, 0, -16, 0, -92, 0, 0, -8, 0, 64, 0, 0, 88, 0, -32, 0, 0, 0, 0, 0, 0, 0, 240, 0, 16, 0, 0, 0, 0, 184, 0, 0, 88, 0, 32, 0, 0, -64, 0, 52, 0, 0, -48, 0, 64, 0, 0, -120, 0, -32, 0, 0, -248, 0, -240, 0, 0, -144, 0, 24, 0, 0, 152, 0, 72, 0, 0, -72, 0, -128, 0, 0, -32, 0, 160, 0, 0, -32, 0, 40, 0, 0, -64, 0, 108, 0, 0, -64, 0, -16, 0, 0, -224, 0, -64, 0, 0, 64, 0, 48, 0, 0, 320, 0, -200, 0, 0, -40, 0, 56, 0, 0, 32, 0, 48, 0, 0, 0, 0, -16, 0, 0, 272, 0, -32, 0, 0, -92, 0, 80, 0, 0, 352, 0, -160, 0, 0, 160, 0, 24, 0, 0, 144, 0, 0, 0, 0, -24, 0, 40, 0, 0, 0, 0, 0, 0, 0, -136, 0, -96, 0, 0, 0, 0, -320, 0, 0, 112, 0, 0, 0, 0, -52, 0, -408, 0, 0, 0, 0, -48, 0, 0, -4, 0, 40, 0, 0, -40, 0, 80, 0, 0, 24, 0, -24, 0, 0, -88, 0, 16, 0, 0, 168, 0, 0, 0, 0, 80, 0, -136, 0, 0, -8, 0, -176, 0, 0, 0, 0, 108, 0, 0, -320, 0, 120, 0, 0, 8, 0, 240, 0, 0, -48, 0, -288, 0, 0, 0, 0, -200, 0, 0, -384, 0, -72, 0, 0, 16, 0, 32, 0, 0, -80, 0, -48, 0, 0, -56, 0, 8, 0, 0, 88, 0, 16, 0, 0, 48, 0, 264, 0, 0, -144, 0, 144, 0, 0, -40, 0, -176, 0, 0, -40, 0, -32, 0, 0, 32, 0, -16, 0, 0, -88, 0, 0, 0, 0, -80, 0, -40, 0, 0, 80, 0, 144, 0, 0, 0, 0, 40, 0, 0, 304, 0, 24, 0, 0, -200, 0, -4, 0, 0, 0, 0, 32, 0, 0, 320, 0, 8, 0, 0, -224, 0, 40, 0, 0, -16, 0, -128, 0, 0, 288, 0, -152, 0, 0, -4, 0, 168, 0, 0, -424, 0, -240, 0, 0, 96, 0, -80, 0, 0, 208, 0, 48, 0, 0, -32, 0, 0, 0, 0, 36, 0, -272, 0, 0, 208, 0, 0, 0, 0, 112, 0, -144, 0, 0, 16, 0, -88, 0, 0, 32, 0, 216, 0, 0, -336, 0, 0, 0, 0, -48, 0, -24, 0, 0, 184, 0, 32, 0, 0, 168, 0, 32, 0, 0, -136, 0, 8, 0, 0, 80, 0, 32, 0, 0, -92, 0, -80, 0, 0, -192, 0, 112, 0, 0, -88, 0, -8, 0, 0, -144, 0, 208, 0, 0, -96, 0, 72, 0, 0, 216, 0, 48, 0, 0, 8, 0, 16, 0, 0, -120, 0, -56, 0, 0, 128, 0, -72, 0, 0, -208, 0, -176, 0, 0, 144, 0, -32, 0, 0, 176, 0, 92, 0, 0, 112, 0, -80, 0, 0, -320, 0, -32, 0, 0, 16, 0, 8, 0, 0, -104, 0, -48, 0, 0, 0, 0, 8, 0, 0, 16, 0, -48, 0, 0, 24, 0, -192, 0, 0, 176, 0, 128, 0, 0, 16, 0, -80, 0, 0, 32, 0, 100, 0, 0, 96, 0, 8, 0, 0, 288, 0, 208, 0, 0, -88, 0, -144, 0, 0, 104, 0, -432, 0, 0, -136, 0, 80, 0, 0, 400, 0, -240, 0, 0, 0, 0, 48, 0, 0, 640, 0, 0, 0, 0, -128, 0, 24, 0, 0, 64, 0, -440, 0, 0, 88, 0, 32, 0, 0, -16, 0, -32, 0, 0, 104, 0, -96, 0, 0, -32, 0, 308, 0, 0, -200, 0, -16, 0, 0, -384, 0, 456, 0, 0, -16, 0, 8, 0, 0, 56, 0, 360, 0, 0, -112, 0, 0, 0, 0, -464, 0, -96, 0, 0, 0, 0, -144, 0, 0, -352, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1162124
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '770.2.a.c', 'target_level': 770, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1162125
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3850.2.a.t', 'target_level': 3850, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1162126
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3850.2.c.h', 'target_level': 3850, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1162127
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3850.2.c.h', 'target_level': 3850, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1162128
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '5390.2.a.i', 'target_level': 5390, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1162129
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '6160.2.a.i', 'target_level': 6160, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1162130
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '6930.2.a.u', 'target_level': 6930, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1162131
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '3850.2.c.h', 'source_level': 3850, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '8470.2.a.ba', 'target_level': 8470, 'twist_class_label': '770.2.a.c', 'twist_class_level': 770, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3395075
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 2}
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id: 3395076
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 3}
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id: 3395077
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 5}
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id: 3395078
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 7}
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id: 3395079
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 11}
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id: 3395080
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 13}
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id: 3395081
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 17}
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id: 3395082
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 19}
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id: 3395083
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 23}
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id: 3395084
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 29}
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id: 3395085
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 31}
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id: 3395086
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 37}
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id: 3395087
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 41}
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id: 3395088
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 43}
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id: 3395089
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 47}
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id: 3395090
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 53}
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id: 3395091
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 59}
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id: 3395092
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 61}
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id: 3395093
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 67}
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id: 3395094
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 71}
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id: 3395095
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 73}
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id: 3395096
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 79}
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id: 3395097
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 83}
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id: 3395098
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525334864105226, 'p': 89}
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id: 3395099
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 31525334864105226, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '3850.2.c.h', 'level': 3850, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49799137
{'hecke_orbit_code': 31525334864105226, 'n': 1, 'trace_an': 2}
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id: 49799138
{'hecke_orbit_code': 31525334864105226, 'n': 2, 'trace_an': 0}
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id: 49799139
{'hecke_orbit_code': 31525334864105226, 'n': 3, 'trace_an': 0}
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id: 49799140
{'hecke_orbit_code': 31525334864105226, 'n': 4, 'trace_an': -2}
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id: 49799141
{'hecke_orbit_code': 31525334864105226, 'n': 5, 'trace_an': 0}
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id: 49799142
{'hecke_orbit_code': 31525334864105226, 'n': 6, 'trace_an': 0}
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id: 49799143
{'hecke_orbit_code': 31525334864105226, 'n': 7, 'trace_an': 0}
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id: 49799144
{'hecke_orbit_code': 31525334864105226, 'n': 8, 'trace_an': 0}
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id: 49799145
{'hecke_orbit_code': 31525334864105226, 'n': 9, 'trace_an': 6}
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id: 49799146
{'hecke_orbit_code': 31525334864105226, 'n': 10, 'trace_an': 0}
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id: 49799147
{'hecke_orbit_code': 31525334864105226, 'n': 11, 'trace_an': -2}
-
id: 49799148
{'hecke_orbit_code': 31525334864105226, 'n': 12, 'trace_an': 0}
-
id: 49799149
{'hecke_orbit_code': 31525334864105226, 'n': 13, 'trace_an': 0}
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id: 49799150
{'hecke_orbit_code': 31525334864105226, 'n': 14, 'trace_an': -2}
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id: 49799151
{'hecke_orbit_code': 31525334864105226, 'n': 15, 'trace_an': 0}
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id: 49799152
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