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mf_newforms • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'cm_discs': [], 'conrey_index': 49, 'dim': 8, 'field_disc': 17284886784, 'field_disc_factorization': [[2, 8], [3, 4], [11, 2], [83, 2]], 'field_poly': [2704, 208, 8, 36, 185, 30, 2, -2, 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': [[7, [2704, -1040, 1388, 172, 349, 2, 23, 2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45037645574703006, 'hecke_ring_generator_nbound': 7, '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, 65, 12, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1950.2.y.k', 'level': 1950, '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, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.bb.c', 'nf_label': '8.0.17284886784.1', 'prim_orbit_index': 12, 'qexp_display': 'q+(1-\\beta _{6})q^{2}+(-\\beta _{2}-\\beta _{5})q^{3}-\\beta _{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.y', 'trace_display': [4, 0, 0, -2], 'trace_hash': 1563342537803072972, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.084', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.740', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.336', 'prec': 17}, {'__RealLiteral__': 0, 'data': '243.662', 'prec': 24}, {'__RealLiteral__': 0, 'data': '105.030', 'prec': 24}, {'__RealLiteral__': 0, 'data': '12208.360', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.176', 'prec': 17}, 'traces': [8, 4, 0, -4, 0, 0, -2, -8, 4, 0, 6, 0, -6, -4, 0, -4, 0, 8, 6, 0, 0, 6, -6, 0, 0, -12, 0, -2, 8, 0, 0, 4, -2, 0, 0, 4, 10, 0, -6, 0, 0, 0, 48, 0, 0, -6, 16, 0, -14, 0, -32, -6, 0, 0, 0, 2, 0, -8, -24, 0, -16, -30, 2, 8, 0, -4, 12, 0, -4, 0, -12, -4, -24, -10, 0, -6, 0, 6, 20, 0, -4, 0, 32, 0, 0, 0, -6, -6, -42, 0, -10, 0, -4, 8, 0, 0, -36, 14, 0, 0, 4, -16, 0, 6, 0, 30, 48, 0, 0, 0, -30, 4, 18, 0, 0, -16, 6, 0, 0, 0, 28, -32, -4, -30, 0, -2, -30, 4, 28, 0, -52, -2, -126, -12, 0, 0, 30, -8, 30, 0, 24, 0, 10, -8, 0, -12, 48, -20, 36, 0, 0, -6, 0, -78, 0, 12, 0, 10, 8, 0, 0, 4, -24, 0, 0, 16, -40, 0, -54, 0, 6, -48, 30, 0, 0, -6, -12, -42, 36, 0, -72, -38, 0, 6, 0, 4, 16, -8, 0, 0, 12, 0, -36, -72, 0, 28, 34, 6, 4, 0, -24, -4, 88, 16, 0, 18, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'conrey_index': 49, 'cusp_dim': 792, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1649300998046, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 12, 12], 'label': '1950.2.y', 'level': 1950, '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, 3, 5, 13], 'level_radical': 390, 'mf_dim': 888, 'mf_new_dim': 88, 'num_forms': 14, 'prim_orbit_index': 12, 'relative_dim': 44, 'sturm_bound': 840, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, -44, 0, 0, 0, 0, 44, 0, -24, 0, 0, -16, 0, -44, 0, 0, -36, 0, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, 0, 0, 0, 0, 0, 44, 0, 0, -12, 0, 96, 0, 0, 0, 0, 24, 0, 0, -64, 0, -48, 0, 0, 0, 0, 8, 0, 0, 72, 0, -24, 0, 0, 88, 0, 16, 0, 0, -40, 0, 48, 0, 0, 0, 0, 36, 0, 0, -8, 0, -44, 0, 0, 12, 0, 0, 0, 0, -72, 0, 12, 0, 0, 16, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 16, 0, 0, -48, 0, 124, 0, 0, 24, 0, -8, 0, 0, 72, 0, -48, 0, 0, -16, 0, 24, 0, 0, 100, 0, 120, 0, 0, -88, 0, 0, 0, 0, 72, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 88, 0, -36, 0, 0, 0, 0, 24, 0, 0, -16, 0, -168, 0, 0, -24, 0, 40, 0, 0, -12, 0, 48, 0, 0, -96, 0, 128, 0, 0, -84, 0, -36, 0, 0, 24, 0, -120, 0, 0, -32, 0, -48, 0, 0, 0, 0, 0, 0, 0, -108, 0, -40, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -72, 0, 0, 0, 0, -108, 0, 0, -24, 0, -16, 0, 0, 48, 0, -64, 0, 0, -96, 0, -44, 0, 0, 64, 0, -16, 0, 0, -8, 0, -96, 0, 0, -96, 0, 276, 0, 0, -64, 0, -40, 0, 0, -24, 0, 0, 0, 0, -48, 0, -112, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 36, 0, 0, 0, 0, -24, 0, 0, 4, 0, -240, 0, 0, 168, 0, 4, 0, 0, -24, 0, -144, 0, 0, 88, 0, 48, 0, 0, 152, 0, -60, 0, 0, 32, 0, -12, 0, 0, 96, 0, 120, 0, 0, 72, 0, 0, 0, 0, -108, 0, -24, 0, 0, 64, 0, 0, 0, 0, 0, 0, 80, 0, 0, -60, 0, -96, 0, 0, 0, 0, -168, 0, 0, 40, 0, -32, 0, 0, -36, 0, 68, 0, 0, 0, 0, 0, 0, 0, 176, 0, -304, 0, 0, -88, 0, -24, 0, 0, 44, 0, -288, 0, 0, 144, 0, -40, 0, 0, 192, 0, 0, 0, 0, 24, 0, 24, 0, 0, 136, 0, 0, 0, 0, 0, 0, 80, 0, 0, -40, 0, 264, 0, 0, 0, 0, 216, 0, 0, 116, 0, -128, 0, 0, -24, 0, 24, 0, 0, 0, 0, -40, 0, 0, -16, 0, 0, 0, 0, -24, 0, 408, 0, 0, -8, 0, 24, 0, 0, -120, 0, -20, 0, 0, -96, 0, 0, 0, 0, 168, 0, 32, 0, 0, 124, 0, 0, 0, 0, 0, 0, -168, 0, 0, 160, 0, -24, 0, 0, 0, 0, 96, 0, 0, -8, 0, 432, 0, 0, -480, 0, 124, 0, 0, 0, 0, -36, 0, 0, -48, 0, 96, 0, 0, 24, 0, -336, 0, 0, -76, 0, 72, 0, 0, -96, 0, -16, 0, 0, -96, 0, 0, 0, 0, -24, 0, 24, 0, 0, 24, 0, 0, 0, 0, 0, 0, 100, 0, 0, -124, 0, 144, 0, 0, 0, 0, -168, 0, 0, 24, 0, 152, 0, 0, 192, 0, 44, 0, 0, 180, 0, 528, 0, 0, 0, 0, 320, 0, 0, 136, 0, -336, 0, 0, 8, 0, -72, 0, 0, 288, 0, 20, 0, 0, -60, 0, 0, 0, 0, -96, 0, -232, 0, 0, -208, 0, 0, 0, 0, 0, 0, 40, 0, 0, -12, 0, -384, 0, 0, 0, 0, -228, 0, 0, -120, 0, 0, 0, 0, 48, 0, -432, 0, 0, -96, 0, -88, 0, 0, 48, 0, -80, 0, 0, 8, 0, -96, 0, 0, -176, 0, -36, 0, 0, -176, 0, 0, 0, 0, 36, 0, 0, 0, 0, 240, 0, -44, 0, 0, -264, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 252, 0, 0, 0, 0, -24, 0, 0, -88, 0, 512, 0, 0, -24, 0, -64, 0, 0, 372, 0, -4, 0, 0, 256, 0, 32, 0, 0, 56, 0, -252, 0, 0, 84, 0, 96, 0, 0, -88, 0, 208, 0, 0, 72, 0, 0, 0, 0, -480, 0, -16, 0, 0, 40, 0, 0, 0, 0, 0, 0, -152, 0, 0, 32, 0, 12, 0, 0, 0, 0, 0, 0, 0, 48, 0, -48, 0, 0, 108, 0, 96, 0, 0, -72, 0, 48, 0, 0, -496, 0, -336, 0, 0, -64, 0, 96, 0, 0, -32, 0, -384, 0, 0, -192, 0, -84, 0, 0, 0, 0, 0, 0, 0, 36, 0, -208, 0, 0, -192, 0, 0, 0, 0, 0, 0, 24, 0, 0, 60, 0, 192, 0, 0, 0, 0, 408, 0, 0, 12, 0, -232, 0, 0, -96, 0, 16, 0, 0, -24, 0, 76, 0, 0, 96, 0, 32, 0, 0, -232, 0, 528, 0, 0, -168, 0, 0, 0, 0, 680, 0, -128, 0, 0, 0, 0, 0, 0, 0, 1032, 0, 220, 0, 0, -16, 0, 0, 0, 0, 0, 0, 96, 0, 0, -16, 0, -336, 0, 0, 0, 0, 24, 0, 0, 8, 0, -16, 0, 0, -96, 0, 24, 0, 0, -48, 0, -56, 0, 0, -144, 0, 672, 0, 0, 16, 0, 36, 0, 0, -12, 0, 432, 0, 0, 16, 0, 32, 0, 0, 0, 0, 0, 0, 0, 192, 0, -24, 0, 0, 44, 0, 0, 0, 0, 0, 0, -8, 0, 0, 288, 0, 168, 0, 0, 0, 0, -96, 0, 0, -64, 0, -584, 0, 0, 108, 0, 64, 0, 0, -24, 0, 120, 0, 0, -528, 0, 48, 0, 0, 160, 0, -216, 0, 0, 8, 0, -720, 0, 0, -128, 0, -108, 0, 0, -216, 0, 0, 0, 0, 24, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47258564
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45037645574703006, 'target_is_minimal': False, 'target_label': '1950.2.y.k.49.4', 'target_level': 1950, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47258565
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009054714167686, 'target_is_minimal': True, 'target_label': '390.2.bb.c.361.2', 'target_level': 390, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47258566
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 751, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27023521943127966, 'target_is_minimal': False, 'target_label': '1950.2.bc.g.751.3', 'target_level': 1950, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47258567
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40534045947332510, 'target_is_minimal': False, 'target_label': '1950.2.y.j.49.1', 'target_level': 1950, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47258568
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40534045947332510, 'target_is_minimal': False, 'target_label': '1950.2.y.j.199.1', 'target_level': 1950, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47258569
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22521021827384466, 'target_is_minimal': False, 'target_label': '1170.2.bs.f.361.4', 'target_level': 1170, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47258570
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 229683581029454798, 'target_is_minimal': False, 'target_label': '5070.2.a.bz.1.3', 'target_level': 5070, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '65.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47258571
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45037645574703006, 'target_is_minimal': False, 'target_label': '1950.2.y.k.199.4', 'target_level': 1950, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '65.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47258572
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 121, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009054714167686, 'target_is_minimal': True, 'target_label': '390.2.bb.c.121.2', 'target_level': 390, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '65.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47258573
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 234187180656825294, 'target_is_minimal': False, 'target_label': '5070.2.a.ca.1.2', 'target_level': 5070, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '65.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 47258574
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 1351, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093659064669134, 'target_is_minimal': False, 'target_label': '5070.2.b.ba.1351.2', 'target_level': 5070, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '65.42', 'twisting_conrey_index': 42, 'weight': 2}
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id: 47258575
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27023521943127966, 'target_is_minimal': False, 'target_label': '1950.2.bc.g.901.3', 'target_level': 1950, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '65.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47258576
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 1351, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 117093659064669134, 'target_is_minimal': False, 'target_label': '5070.2.b.ba.1351.7', 'target_level': 5070, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '65.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 47258577
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45037645574703006, 'source_is_minimal': False, 'source_label': '1950.2.y.k.49.4', 'source_level': 1950, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22521021827384466, 'target_is_minimal': False, 'target_label': '1170.2.bs.f.901.4', 'target_level': 1170, 'twist_class_label': '390.2.bb.c.121.2', 'twist_class_level': 390, 'twisting_char_label': '195.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2325575
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 45037645574703006, 'p': 2}
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id: 2325576
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 45037645574703006, 'p': 3}
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id: 2325577
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 45037645574703006, 'p': 5}
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id: 2325578
{'charpoly_factorization': [[[2704, -1040, 1388, 172, 349, 2, 23, 2, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 7}
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id: 2325579
{'charpoly_factorization': [[[32761, 22806, -138, -3780, 467, 180, -18, -6, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 11}
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id: 2325580
{'charpoly_factorization': [[[28561, 13182, 7605, 2418, 848, 186, 45, 6, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 13}
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id: 2325581
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 45037645574703006, 'p': 17}
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id: 2325582
{'charpoly_factorization': [[[219024, 84240, -15876, -10260, 2421, 342, -45, -6, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 19}
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id: 2325583
{'charpoly_factorization': [[[2704, 624, -2292, -540, 1997, -270, -33, 6, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 23}
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id: 2325584
{'charpoly_factorization': [[[141376, 55648, 36568, 244, 2329, 16, 103, -8, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 29}
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id: 2325585
{'charpoly_factorization': [[[913936, 0, 158088, 0, 8777, 0, 174, 0, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 31}
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id: 2325586
{'charpoly_factorization': [[[644809, -345290, 157598, -30680, 6259, -520, 134, -10, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 37}
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id: 2325587
{'charpoly_factorization': [[[692224, -159744, -57600, 16128, 6224, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 41}
-
id: 2325588
{'charpoly_factorization': [[[327184, 604032, 232716, -256608, 76517, -11664, 1011, -48, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 43}
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id: 2325589
{'charpoly_factorization': [[[-1103, 776, -82, -8, 1], 2]], 'hecke_orbit_code': 45037645574703006, 'p': 47}
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id: 2325590
{'charpoly_factorization': [[[2704, 0, 7816, 0, 5793, 0, 214, 0, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 53}
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id: 2325591
{'charpoly_factorization': [[[80656, 23856, -10996, -3948, 1821, 1128, 239, 24, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 59}
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id: 2325592
{'charpoly_factorization': [[[16, 32, 60, 8, 1], 2]], 'hecke_orbit_code': 45037645574703006, 'p': 61}
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id: 2325593
{'charpoly_factorization': [[[123904, 50688, 39040, 960, 4080, 336, 196, -12, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 67}
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id: 2325594
{'charpoly_factorization': [[[25240576, 19051008, 5817984, 773568, 31472, -2448, -156, 12, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 71}
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id: 2325595
{'charpoly_factorization': [[[-4544, -1728, -124, 12, 1], 2]], 'hecke_orbit_code': 45037645574703006, 'p': 73}
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id: 2325596
{'charpoly_factorization': [[[3508, 860, -147, -10, 1], 2]], 'hecke_orbit_code': 45037645574703006, 'p': 79}
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id: 2325597
{'charpoly_factorization': [[[-5024, 1936, -100, -16, 1], 2]], 'hecke_orbit_code': 45037645574703006, 'p': 83}
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id: 2325598
{'charpoly_factorization': [[[1008016, -349392, -131316, 59508, 35117, 7182, 759, 42, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 89}
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id: 2325599
{'charpoly_factorization': [[[29246464, -3374592, 2444416, 626496, 127344, 12432, 916, 36, 1], 1]], 'hecke_orbit_code': 45037645574703006, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 25, 'hecke_orbit': 11, 'label': '1950.2.y.k', 'level': 1950, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 215563000
{'hecke_orbit_code': 45037645574703006, 'n': 1, 'trace_an': 8}
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id: 215563001
{'hecke_orbit_code': 45037645574703006, 'n': 2, 'trace_an': 4}
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id: 215563002
{'hecke_orbit_code': 45037645574703006, 'n': 3, 'trace_an': 0}
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id: 215563003
{'hecke_orbit_code': 45037645574703006, 'n': 4, 'trace_an': -4}
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id: 215563004
{'hecke_orbit_code': 45037645574703006, 'n': 5, 'trace_an': 0}
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id: 215563005
{'hecke_orbit_code': 45037645574703006, 'n': 6, 'trace_an': 0}
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id: 215563006
{'hecke_orbit_code': 45037645574703006, 'n': 7, 'trace_an': -2}
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id: 215563007
{'hecke_orbit_code': 45037645574703006, 'n': 8, 'trace_an': -8}
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id: 215563008
{'hecke_orbit_code': 45037645574703006, 'n': 9, 'trace_an': 4}
-
id: 215563009
{'hecke_orbit_code': 45037645574703006, 'n': 10, 'trace_an': 0}
-
id: 215563010
{'hecke_orbit_code': 45037645574703006, 'n': 11, 'trace_an': 6}
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id: 215563011
{'hecke_orbit_code': 45037645574703006, 'n': 12, 'trace_an': 0}
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id: 215563012
{'hecke_orbit_code': 45037645574703006, 'n': 13, 'trace_an': -6}
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id: 215563013
{'hecke_orbit_code': 45037645574703006, 'n': 14, 'trace_an': -4}
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id: 215563014
{'hecke_orbit_code': 45037645574703006, 'n': 15, 'trace_an': 0}
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id: 215563015
{'hecke_orbit_code': 45037645574703006, 'n': 16, 'trace_an': -4}
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id: 215563016
{'hecke_orbit_code': 45037645574703006, 'n': 17, 'trace_an': 0}
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id: 215563017
{'hecke_orbit_code': 45037645574703006, 'n': 18, 'trace_an': 8}
-
id: 215563018
{'hecke_orbit_code': 45037645574703006, 'n': 19, 'trace_an': 6}
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id: 215563019
{'hecke_orbit_code': 45037645574703006, 'n': 20, 'trace_an': 0}
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id: 215563020
{'hecke_orbit_code': 45037645574703006, 'n': 21, 'trace_an': 0}
-
id: 215563021
{'hecke_orbit_code': 45037645574703006, 'n': 22, 'trace_an': 6}
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id: 215563022
{'hecke_orbit_code': 45037645574703006, 'n': 23, 'trace_an': -6}
-
id: 215563023
{'hecke_orbit_code': 45037645574703006, 'n': 24, 'trace_an': 0}
-
id: 215563024
{'hecke_orbit_code': 45037645574703006, 'n': 25, 'trace_an': 0}
-
id: 215563025
{'hecke_orbit_code': 45037645574703006, 'n': 26, 'trace_an': -12}
-
id: 215563026
{'hecke_orbit_code': 45037645574703006, 'n': 27, 'trace_an': 0}
-
id: 215563027
{'hecke_orbit_code': 45037645574703006, 'n': 28, 'trace_an': -2}
-
id: 215563028
{'hecke_orbit_code': 45037645574703006, 'n': 29, 'trace_an': 8}
-
id: 215563029
{'hecke_orbit_code': 45037645574703006, 'n': 30, 'trace_an': 0}
-
id: 215563030
{'hecke_orbit_code': 45037645574703006, 'n': 31, 'trace_an': 0}
-
id: 215563031
{'hecke_orbit_code': 45037645574703006, 'n': 32, 'trace_an': 4}
-
id: 215563032
{'hecke_orbit_code': 45037645574703006, 'n': 33, 'trace_an': -2}
-
id: 215563033
{'hecke_orbit_code': 45037645574703006, 'n': 34, 'trace_an': 0}
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id: 215563034
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