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- 2025-07-18T22:50:01.142611+00:00
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mf_newforms • Show schema
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{'Nk2': 14400, 'analytic_conductor': 28.746144727660937, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3600, 2, [3151, 901, 2801, 577], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 2449, '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': [[7, [9, 0, 1]], [11, [-2, 1]], [13, [9, 0, 1]], [17, [36, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050738414128656, 'hecke_ring_generator_nbound': 37, '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': '3600.2.f.o', 'level': 3600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '600.2.a.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+3 i q^{7}+2 q^{11}-3 i q^{13}+6 i q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3600.2.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1289023542211876047, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.931', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.219', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [-7, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -10], [0, 0], [0, 0], [0, 0], [-12, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, 10], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [-13, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [16, 0], [0, 0], [9, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, 3], [2, 0], [0, -3], [0, 6], [-7, 0], [0, 6], [-2, 0], [5, 0], [0, -10], [-12, 0], [0, -3], [0, 10], [0, 0], [6, 0], [-13, 0], [0, 7], [-4, 0], [0, -6], [-8, 0], [0, -6], [16, 0], [0, 7], [0, 0], [0, 12], [0, 16], [-9, 0], [0, -12], [0, -8], [-8, 0], [0, -10], [4, 0], [-22, 0], [-1, 0], [0, 9], [0, -1], [0, 8], [0, -2], [-18, 0], [-19, 0], [-18, 0], [0, 19], [0, 14], [-3, 0], [-9, 0], [0, -11], [0, 4], [19, 0], [0, 4], [0, 0], [25, 0], [28, 0], [0, 4], [0, 12], [-6, 0], [-24, 0], [0, -1], [-2, 0], [0, -5], [0, 2], [0, 5], [2, 0], [0, 19], [0, 32], [4, 0], [0, 7], [0, 18], [22, 0], [0, -26], [-36, 0], [0, -11], [0, 7], [-29, 0], [0, 36], [12, 0], [0, -11], [8, 0], [-5, 0], [24, 0], [14, 0], [-34, 0], [0, 3], [19, 0], [0, -16], [12, 0], [0, 10], [-8, 0], [0, -8], [0, -26], [38, 0], [0, -11], [-24, 0], [25, 0], [0, -4], [22, 0], [6, 0], [0, -29], [-15, 0], [0, 0], [0, 18], [0, -26], [18, 0], [39, 0], [0, -11], [0, 16], [0, 36], [4, 0], [35, 0], [0, -32], [0, 34], [0, -40], [5, 0], [25, 0], [12, 0], [0, -4], [0, -12], [0, -26], [20, 0], [42, 0], [0, -50], [0, -10], [0, 40], [32, 0], [-42, 0], [19, 0], [-30, 0], [0, -5], [0, -2], [20, 0], [0, 20], [-8, 0], [0, -13], [52, 0], [21, 0], [0, 12], [0, 37], [0, -20], [48, 0], [-17, 0], [10, 0], [0, 9], [0, -24], [14, 0], [-34, 0], [0, -25], [0, -4], [-32, 0], [0, 8], [0, -31], [-8, 0], [0, 53], [0, -42], [0, 52], [18, 0], [41, 0], [-6, 0], [0, -39], [-46, 0], [0, -6], [0, 8], [0, 24], [30, 0], [0, 58], [0, -4], [17, 0], [0, -42], [35, 0], [0, -18], [-10, 0], [7, 0], [-30, 0], [0, -19], [-3, 0], [-40, 0], [23, 0], [-10, 0], [0, 61], [17, 0], [0, 47], [8, 0], [0, 61], [0, -6], [0, 46], [30, 0], [0, 59], [0, -17], [19, 0], [-22, 0], [0, 25], [0, -12], [-15, 0], [14, 0], [0, -18], [0, 2], [-34, 0], [0, -58], [0, 2], [0, 6], [-44, 0], [-20, 0], [0, 38], [30, 0], [12, 0], [0, 14], [-11, 0], [0, 42], [36, 0], [17, 0], [0, -19], [30, 0], [0, 49], [0, 20], [-6, 0], [-18, 0], [0, -13], [10, 0], [0, -12], [0, 6], [41, 0], [-47, 0], [-14, 0], [0, -16], [0, 28], [9, 0], [0, 18], [-6, 0], [0, 13], [-30, 0], [0, 41], [-4, 0], [31, 0], [26, 0], [0, -44], [0, 72], [-26, 0], [0, -8], [-14, 0], [64, 0], [0, 50], [-55, 0], [0, -29], [-59, 0], [0, 10], [30, 0], [0, -23], [-6, 0], [55, 0], [0, 26], [0, 42], [-6, 0], [0, -12], [11, 0], [0, 58], [-12, 0], [-31, 0], [0, -28], [0, 40], [0, 2], [0, -55], [0, -30], [-22, 0], [0, 15], [0, 42], [-32, 0], [-6, 0], [0, 0], [0, -20], [0, 6], [-57, 0], [0, 64], [0, -38], [-41, 0], [0, 23], [0, -71], [0, -18], [1, 0], [31, 0], [24, 0], [0, -36], [-80, 0], [0, 6], [-13, 0], [0, -59], [70, 0], [0, -15], [0, -12], [24, 0], [-76, 0], [-50, 0], [0, -4], [0, -36], [-48, 0], [0, -61], [36, 0], [77, 0], [0, 84], [-42, 0], [0, 28], [0, 22], [0, 36], [39, 0]], 'char_orbit_index': 6, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 63050738414128656, 'hecke_ring_character_values': [[3151, [1, 0]], [901, [1, 0]], [2801, [1, 0]], [577, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3600.2.f.o', 'level': 3600, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 14400, 'analytic_conductor': 28.746144727660937, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3600, 2, [3151, 901, 2801, 577], [2, 2, 2, 1]], 'conrey_index': 2449, 'cusp_dim': 648, 'dim': 44, 'eis_dim': 144, 'eis_new_dim': 2, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 343630941712, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '3600.2.f', 'level': 3600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 792, 'mf_new_dim': 46, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 44, 'sturm_bound': 1440, 'trace_bound': 29, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, -212, 0, 0, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1124206
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '600.2.a.b', 'target_level': 600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1124207
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '600.2.a.i', 'target_level': 600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1124208
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '600.2.f.d', 'target_level': 600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1124209
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '600.2.f.d', 'target_level': 600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1124210
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1200.2.a.b', 'target_level': 1200, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1124211
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1200.2.a.q', 'target_level': 1200, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1124212
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1200.2.f.c', 'target_level': 1200, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1124213
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1200.2.f.c', 'target_level': 1200, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1124214
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1800.2.a.e', 'target_level': 1800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1124215
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1800.2.a.t', 'target_level': 1800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1124216
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1800.2.f.e', 'target_level': 1800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1124217
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1800.2.f.e', 'target_level': 1800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1124218
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3600.2.a.i', 'target_level': 3600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1124219
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '3600.2.a.bl', 'target_level': 3600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1124220
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3600.2.f.o', 'target_level': 3600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1124221
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3600.2.f.o', 'target_level': 3600, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1124222
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '4800.2.a.bc', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1124223
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '4800.2.a.bd', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1124224
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '4800.2.a.bp', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1124225
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '4800.2.a.bs', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1124226
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4800.2.f.k', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1124227
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4800.2.f.k', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1124228
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4800.2.f.z', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1124229
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.f.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4800.2.f.z', 'target_level': 4800, 'twist_class_label': '600.2.a.b', 'twist_class_level': 600, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3263425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 2}
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id: 3263426
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 3}
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id: 3263427
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 5}
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id: 3263428
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 7}
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id: 3263429
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 11}
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id: 3263430
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 13}
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id: 3263431
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 17}
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id: 3263432
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 19}
-
id: 3263433
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 23}
-
id: 3263434
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 29}
-
id: 3263435
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 31}
-
id: 3263436
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 37}
-
id: 3263437
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 41}
-
id: 3263438
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 43}
-
id: 3263439
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 47}
-
id: 3263440
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 53}
-
id: 3263441
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 59}
-
id: 3263442
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 61}
-
id: 3263443
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 67}
-
id: 3263444
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 71}
-
id: 3263445
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 73}
-
id: 3263446
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 79}
-
id: 3263447
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 83}
-
id: 3263448
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 63050738414128656, 'p': 89}
-
id: 3263449
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 63050738414128656, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 15, 'label': '3600.2.f.o', 'level': 3600, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 60294577
{'hecke_orbit_code': 63050738414128656, 'n': 1, 'trace_an': 2}
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id: 60294578
{'hecke_orbit_code': 63050738414128656, 'n': 2, 'trace_an': 0}
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id: 60294579
{'hecke_orbit_code': 63050738414128656, 'n': 3, 'trace_an': 0}
-
id: 60294580
{'hecke_orbit_code': 63050738414128656, 'n': 4, 'trace_an': 0}
-
id: 60294581
{'hecke_orbit_code': 63050738414128656, 'n': 5, 'trace_an': 0}
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id: 60294582
{'hecke_orbit_code': 63050738414128656, 'n': 6, 'trace_an': 0}
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id: 60294583
{'hecke_orbit_code': 63050738414128656, 'n': 7, 'trace_an': 0}
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id: 60294584
{'hecke_orbit_code': 63050738414128656, 'n': 8, 'trace_an': 0}
-
id: 60294585
{'hecke_orbit_code': 63050738414128656, 'n': 9, 'trace_an': 0}
-
id: 60294586
{'hecke_orbit_code': 63050738414128656, 'n': 10, 'trace_an': 0}
-
id: 60294587
{'hecke_orbit_code': 63050738414128656, 'n': 11, 'trace_an': 4}
-
id: 60294588
{'hecke_orbit_code': 63050738414128656, 'n': 12, 'trace_an': 0}
-
id: 60294589
{'hecke_orbit_code': 63050738414128656, 'n': 13, 'trace_an': 0}
-
id: 60294590
{'hecke_orbit_code': 63050738414128656, 'n': 14, 'trace_an': 0}
-
id: 60294591
{'hecke_orbit_code': 63050738414128656, 'n': 15, 'trace_an': 0}
-
id: 60294592
{'hecke_orbit_code': 63050738414128656, 'n': 16, 'trace_an': 0}
-
id: 60294593
{'hecke_orbit_code': 63050738414128656, 'n': 17, 'trace_an': 0}
-
id: 60294594
{'hecke_orbit_code': 63050738414128656, 'n': 18, 'trace_an': 0}
-
id: 60294595
{'hecke_orbit_code': 63050738414128656, 'n': 19, 'trace_an': -14}
-
id: 60294596
{'hecke_orbit_code': 63050738414128656, 'n': 20, 'trace_an': 0}
-
id: 60294597
{'hecke_orbit_code': 63050738414128656, 'n': 21, 'trace_an': 0}
-
id: 60294598
{'hecke_orbit_code': 63050738414128656, 'n': 22, 'trace_an': 0}
-
id: 60294599
{'hecke_orbit_code': 63050738414128656, 'n': 23, 'trace_an': 0}
-
id: 60294600
{'hecke_orbit_code': 63050738414128656, 'n': 24, 'trace_an': 0}
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id: 60294601
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