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mf_newforms • Show schema
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{'Nk2': 198, 'analytic_conductor': 0.5994565815926531, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [22, 2, [13], [1]], 'cm_discs': [], 'conrey_index': 21, 'conrey_indexes': [21], 'dim': 2, 'field_disc': -8, 'field_disc_factorization': [[-1, 1], [2, 3]], 'field_poly': [2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68769808406, '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, 11, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '22.3.b.a', 'level': 22, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '22.3.b.a', 'nf_label': '2.0.8.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta q^{2}+q^{3}-2q^{4}-q^{5}+\\beta q^{6}-6\\beta q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22.3.b', 'trace_display': [0, 2, -2, 0], 'trace_hash': 1002282001903377841, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.962', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.504', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '153.879', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [1, 0], [-2, 0], [-1, 0], [0, 1], [0, -6], [0, -2], [-8, 0], [0, -1], [7, 6], [-2, 0], [0, 6], [12, 0], [-1, 0], [4, 0], [0, 18], [0, -8], [0, -18], [2, 0], [0, -6], [-12, 7], [17, 0], [0, -2], [-24, 0], [-12, 0], [-17, 0], [0, 12], [0, -24], [0, -1], [17, 0], [0, 4], [7, 6], [-36, 0], [0, 6], [16, 0], [47, 0], [36, 0], [0, 6], [0, 2], [0, 6], [12, 0], [0, 12], [-14, -12], [8, 0], [0, 17], [-58, 0], [4, 0], [-23, 0], [0, -24], [0, 18], [0, -12], [2, 0], [0, -17], [-7, -6], [-24, 0], [0, -18], [48, 0], [-55, 0], [2, 0], [0, -60], [0, 17], [0, 48], [-8, 0], [0, -6], [-12, 7], [89, 0], [0, -36], [17, 0], [-12, 0], [-7, 0], [0, 16], [0, 90], [0, 47], [-24, 0], [0, 36], [72, -42], [-12, 0], [0, -24], [-4, 0], [55, 0], [-12, 0], [0, -24], [0, 12], [0, -18], [-24, 0], [0, -24], [24, -14], [-97, 0], [0, 8], [72, 0], [-34, 0], [17, 0], [0, -58], [0, 18], [0, 4], [-121, 0], [0, -23], [-56, -48], [48, 0]], 'ap': [[0, 1], [1, 0], [-1, 0], [0, -6], [7, 6], [0, 6], [0, 18], [0, -18], [17, 0], [0, -24], [17, 0], [47, 0], [0, 6], [0, 12], [-58, 0], [2, 0], [-55, 0], [0, -60], [89, 0], [-7, 0], [0, 90], [0, -24], [0, -24], [-97, 0], [-121, 0], [0, -6], [-82, 0], [0, 54], [0, 108], [-1, 0], [0, -18], [0, -66], [167, 0], [0, -66], [0, 114], [0, -204], [-1, 0], [110, 0], [0, 78], [0, 12], [209, 0], [119, 0], [-319, 0], [0, -12], [0, -72], [182, 0], [0, -84], [-31, 0], [0, 66], [-73, 0], [0, -144], [0, 204], [0, 84], [65, 0], [170, 0], [0, -222], [-430, 0], [0, 270], [0, -60], [0, -96], [0, -48], [0, 366], [0, 18], [-154, 0], [95, 0], [23, 0], [185, 0], [0, 6], [0, 150], [0, -186], [167, 0], [0, -450], [-607, 0], [0, -246], [-295, 0], [377, 0], [-121, 0], [578, 0], [-550, 0], [0, 420], [-370, 0], [338, 0], [0, 162], [-25, 0], [0, 264], [257, 0], [47, 0], [0, 192], [0, -348], [-631, 0], [-367, 0], [0, -330], [-511, 0], [0, 24], [494, 0], [0, -468], [503, 0], [-745, 0], [0, 234], [0, -486], [0, 588], [0, 450], [0, -552], [0, 408], [0, -444], [-385, 0], [806, 0], [0, -108], [998, 0], [0, 534], [0, -264], [0, 252], [314, 0], [1193, 0], [-439, 0], [671, 0], [-487, 0], [569, 0], [-1081, 0], [0, 552], [1007, 0], [0, -456], [0, -618], [-610, 0], [-1255, 0], [0, -54], [455, 0], [-223, 0], [-535, 0], [0, -444], [0, 612], [0, 816], [-55, 0], [2, 0], [0, -894], [0, -426], [-1222, 0], [0, 636], [-289, 0], [0, -162], [0, -540], [0, -420], [305, 0], [0, -414], [119, 0], [-1615, 0], [0, 768], [0, -708], [593, 0], [1190, 0], [0, 654], [263, 0], [-394, 0], [0, -12], [-418, 0], [-490, 0], [0, -432], [-742, 0], [0, 846], [0, 96], [113, 0], [0, -18], [0, 240], [569, 0], [-649, 0], [-175, 0], [1334, 0], [0, 786]], 'char_orbit_index': 2, 'field_poly': [2, 0, 1], 'hecke_orbit_code': 68769808406, 'hecke_ring_character_values': [[13, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '22.3.b.a', 'level': 22, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 198, 'analytic_conductor': 0.5994565815926531, 'char_conductor': 11, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [22, 2, [13], [1]], 'conrey_index': 21, 'cusp_dim': 4, 'dim': 2, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 68769808406, 'hecke_orbit_dims': [2], 'label': '22.3.b', 'level': 22, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11], 'level_radical': 22, 'mf_dim': 8, 'mf_new_dim': 2, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 2, 'sturm_bound': 9, 'trace_bound': 0, 'trace_display': [0, 2, -2, 0], 'traces': [2, 0, 2, -4, -2, 0, 0, 0, -16, 0, 14, -4, 0, 24, -2, 8, 0, 0, 0, 4, 0, -24, 34, 0, -48, -24, -34, 0, 0, 0, 34, 0, 14, -72, 0, 32, 94, 72, 0, 0, 0, 24, 0, -28, 16, 0, -116, 8, -46, 0, 0, 0, 4, 0, -14, -48, 0, 96, -110, 4, 0, 0, 0, -16, 0, -24, 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0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 17351
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '22.3.b.a', 'target_level': 22, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 17352
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '22.3.b.a', 'target_level': 22, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17353
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '176.3.h.c', 'target_level': 176, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17354
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '176.3.h.c', 'target_level': 176, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 17355
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '198.3.d.b', 'target_level': 198, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17356
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '198.3.d.b', 'target_level': 198, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 17357
{'conductor': 11, 'degree': 4, 'multiplicity': 4, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '242.3.d.b', 'target_level': 242, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 17358
{'conductor': 11, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '242.3.d.b', 'target_level': 242, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 17359
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '550.3.c.a', 'target_level': 550, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 17360
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '550.3.c.a', 'target_level': 550, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 17361
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '550.3.d.a', 'target_level': 550, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17362
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '550.3.d.a', 'target_level': 550, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 17363
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '704.3.h.d', 'target_level': 704, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17364
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '704.3.h.d', 'target_level': 704, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17365
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '704.3.h.e', 'target_level': 704, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 17366
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '704.3.h.e', 'target_level': 704, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 3}
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id: 17367
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1078.3.d.a', 'target_level': 1078, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17368
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1078.3.d.a', 'target_level': 1078, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17369
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1584.3.j.d', 'target_level': 1584, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 17370
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.3.b.a', 'source_level': 22, 'target_char_orbit': 10, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1584.3.j.d', 'target_level': 1584, 'twist_class_label': '22.3.b.a', 'twist_class_level': 22, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 86025
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 2}
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id: 86026
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 3}
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id: 86027
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 5}
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id: 86028
{'charpoly_factorization': [[[72, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 7}
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id: 86029
{'charpoly_factorization': [[[121, -14, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 11}
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id: 86030
{'charpoly_factorization': [[[72, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 13}
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id: 86031
{'charpoly_factorization': [[[648, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 17}
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id: 86032
{'charpoly_factorization': [[[648, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 19}
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id: 86033
{'charpoly_factorization': [[[-17, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 23}
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id: 86034
{'charpoly_factorization': [[[1152, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 29}
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id: 86035
{'charpoly_factorization': [[[-17, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 31}
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id: 86036
{'charpoly_factorization': [[[-47, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 37}
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id: 86037
{'charpoly_factorization': [[[72, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 41}
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id: 86038
{'charpoly_factorization': [[[288, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 43}
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id: 86039
{'charpoly_factorization': [[[58, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 47}
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id: 86040
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 53}
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id: 86041
{'charpoly_factorization': [[[55, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 59}
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id: 86042
{'charpoly_factorization': [[[7200, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 61}
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id: 86043
{'charpoly_factorization': [[[-89, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 67}
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id: 86044
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 71}
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id: 86045
{'charpoly_factorization': [[[16200, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 73}
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id: 86046
{'charpoly_factorization': [[[1152, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 79}
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id: 86047
{'charpoly_factorization': [[[1152, 0, 1], 1]], 'hecke_orbit_code': 68769808406, 'p': 83}
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id: 86048
{'charpoly_factorization': [[[97, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 89}
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id: 86049
{'charpoly_factorization': [[[121, 1], 2]], 'hecke_orbit_code': 68769808406, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '22.3.b.a', 'level': 22, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 18070000
{'hecke_orbit_code': 68769808406, 'n': 1, 'trace_an': 2}
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id: 18070001
{'hecke_orbit_code': 68769808406, 'n': 2, 'trace_an': 0}
-
id: 18070002
{'hecke_orbit_code': 68769808406, 'n': 3, 'trace_an': 2}
-
id: 18070003
{'hecke_orbit_code': 68769808406, 'n': 4, 'trace_an': -4}
-
id: 18070004
{'hecke_orbit_code': 68769808406, 'n': 5, 'trace_an': -2}
-
id: 18070005
{'hecke_orbit_code': 68769808406, 'n': 6, 'trace_an': 0}
-
id: 18070006
{'hecke_orbit_code': 68769808406, 'n': 7, 'trace_an': 0}
-
id: 18070007
{'hecke_orbit_code': 68769808406, 'n': 8, 'trace_an': 0}
-
id: 18070008
{'hecke_orbit_code': 68769808406, 'n': 9, 'trace_an': -16}
-
id: 18070009
{'hecke_orbit_code': 68769808406, 'n': 10, 'trace_an': 0}
-
id: 18070010
{'hecke_orbit_code': 68769808406, 'n': 11, 'trace_an': 14}
-
id: 18070011
{'hecke_orbit_code': 68769808406, 'n': 12, 'trace_an': -4}
-
id: 18070012
{'hecke_orbit_code': 68769808406, 'n': 13, 'trace_an': 0}
-
id: 18070013
{'hecke_orbit_code': 68769808406, 'n': 14, 'trace_an': 24}
-
id: 18070014
{'hecke_orbit_code': 68769808406, 'n': 15, 'trace_an': -2}
-
id: 18070015
{'hecke_orbit_code': 68769808406, 'n': 16, 'trace_an': 8}
-
id: 18070016
{'hecke_orbit_code': 68769808406, 'n': 17, 'trace_an': 0}
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id: 18070017
{'hecke_orbit_code': 68769808406, 'n': 18, 'trace_an': 0}
-
id: 18070018
{'hecke_orbit_code': 68769808406, 'n': 19, 'trace_an': 0}
-
id: 18070019
{'hecke_orbit_code': 68769808406, 'n': 20, 'trace_an': 4}
-
id: 18070020
{'hecke_orbit_code': 68769808406, 'n': 21, 'trace_an': 0}
-
id: 18070021
{'hecke_orbit_code': 68769808406, 'n': 22, 'trace_an': -24}
-
id: 18070022
{'hecke_orbit_code': 68769808406, 'n': 23, 'trace_an': 34}
-
id: 18070023
{'hecke_orbit_code': 68769808406, 'n': 24, 'trace_an': 0}
-
id: 18070024
{'hecke_orbit_code': 68769808406, 'n': 25, 'trace_an': -48}
-
id: 18070025
{'hecke_orbit_code': 68769808406, 'n': 26, 'trace_an': -24}
-
id: 18070026
{'hecke_orbit_code': 68769808406, 'n': 27, 'trace_an': -34}
-
id: 18070027
{'hecke_orbit_code': 68769808406, 'n': 28, 'trace_an': 0}
-
id: 18070028
{'hecke_orbit_code': 68769808406, 'n': 29, 'trace_an': 0}
-
id: 18070029
{'hecke_orbit_code': 68769808406, 'n': 30, 'trace_an': 0}
-
id: 18070030
{'hecke_orbit_code': 68769808406, 'n': 31, 'trace_an': 34}
-
id: 18070031
{'hecke_orbit_code': 68769808406, 'n': 32, 'trace_an': 0}
-
id: 18070032
{'hecke_orbit_code': 68769808406, 'n': 33, 'trace_an': 14}
-
id: 18070033
{'hecke_orbit_code': 68769808406, 'n': 34, 'trace_an': -72}
-
id: 18070034
{'hecke_orbit_code': 68769808406, 'n': 35, 'trace_an': 0}
-
id: 18070035
{'hecke_orbit_code': 68769808406, 'n': 36, 'trace_an': 32}
-
id: 18070036
{'hecke_orbit_code': 68769808406, 'n': 37, 'trace_an': 94}
-
id: 18070037
{'hecke_orbit_code': 68769808406, 'n': 38, 'trace_an': 72}
-
id: 18070038
{'hecke_orbit_code': 68769808406, 'n': 39, 'trace_an': 0}
-
id: 18070039
{'hecke_orbit_code': 68769808406, 'n': 40, 'trace_an': 0}
-
id: 18070040
{'hecke_orbit_code': 68769808406, 'n': 41, 'trace_an': 0}
-
id: 18070041
{'hecke_orbit_code': 68769808406, 'n': 42, 'trace_an': 24}
-
id: 18070042
{'hecke_orbit_code': 68769808406, 'n': 43, 'trace_an': 0}
-
id: 18070043
{'hecke_orbit_code': 68769808406, 'n': 44, 'trace_an': -28}
-
id: 18070044
{'hecke_orbit_code': 68769808406, 'n': 45, 'trace_an': 16}
-
id: 18070045
{'hecke_orbit_code': 68769808406, 'n': 46, 'trace_an': 0}
-
id: 18070046
{'hecke_orbit_code': 68769808406, 'n': 47, 'trace_an': -116}
-
id: 18070047
{'hecke_orbit_code': 68769808406, 'n': 48, 'trace_an': 8}
-
id: 18070048
{'hecke_orbit_code': 68769808406, 'n': 49, 'trace_an': -46}
-
id: 18070049
{'hecke_orbit_code': 68769808406, 'n': 50, 'trace_an': 0}
-
id: 18070050
{'hecke_orbit_code': 68769808406, 'n': 51, 'trace_an': 0}
-
id: 18070051
{'hecke_orbit_code': 68769808406, 'n': 52, 'trace_an': 0}
-
id: 18070052
{'hecke_orbit_code': 68769808406, 'n': 53, 'trace_an': 4}
-
id: 18070053
{'hecke_orbit_code': 68769808406, 'n': 54, 'trace_an': 0}
-
id: 18070054
{'hecke_orbit_code': 68769808406, 'n': 55, 'trace_an': -14}
-
id: 18070055
{'hecke_orbit_code': 68769808406, 'n': 56, 'trace_an': -48}
-
id: 18070056
{'hecke_orbit_code': 68769808406, 'n': 57, 'trace_an': 0}
-
id: 18070057
{'hecke_orbit_code': 68769808406, 'n': 58, 'trace_an': 96}
-
id: 18070058
{'hecke_orbit_code': 68769808406, 'n': 59, 'trace_an': -110}
-
id: 18070059
{'hecke_orbit_code': 68769808406, 'n': 60, 'trace_an': 4}
-
id: 18070060
{'hecke_orbit_code': 68769808406, 'n': 61, 'trace_an': 0}
-
id: 18070061
{'hecke_orbit_code': 68769808406, 'n': 62, 'trace_an': 0}
-
id: 18070062
{'hecke_orbit_code': 68769808406, 'n': 63, 'trace_an': 0}
-
id: 18070063
{'hecke_orbit_code': 68769808406, 'n': 64, 'trace_an': -16}
-
id: 18070064
{'hecke_orbit_code': 68769808406, 'n': 65, 'trace_an': 0}
-
id: 18070065
{'hecke_orbit_code': 68769808406, 'n': 66, 'trace_an': -24}
-
id: 18070066
{'hecke_orbit_code': 68769808406, 'n': 67, 'trace_an': 178}
-
id: 18070067
{'hecke_orbit_code': 68769808406, 'n': 68, 'trace_an': 0}
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