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mf_newforms • Show schema
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{'Nk2': 2940, 'analytic_conductor': 5.869004548564108, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [735, 6, [491, 442, 346], [3, 6, 1]], 'cm_discs': [], 'conrey_index': 521, 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -1, 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': [[2, [4, 6, 1, -3, 1]], [13, [576, 0, 51, 0, 1]], [17, [36, -18, 15, 3, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533633630470879, 'hecke_ring_generator_nbound': 5, '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, 21, 7, 1, 6, 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': '735.2.s.j', 'level': 735, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '105.2.b.c', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+\\beta _{1}q^{3}+(1-2\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '735.2.s', 'trace_display': [3, 1, -2, 0], 'trace_hash': 1279562462960635161, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.500', 'prec': 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mf_hecke_cc • Show schema
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-0.18613516186413387, 0.19297564457660848, -0.4830038200846696, -0.2507180449501105], 'char_orbit_index': 19, 'conrey_index': 521, 'dual_conrey_index': 656, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.39614349569663065, 'embedding_root_real': 1.6861406616345072, 'hecke_orbit': 10, 'hecke_orbit_code': 40533633630470879, 'label': '735.2.s.j.521.1', 'level': 735, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2940, 'analytic_conductor': 5.869004548564108, 'char_conductor': 21, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [735, 6, [491, 442, 346], [3, 6, 1]], 'conrey_index': 521, 'cusp_dim': 192, 'dim': 108, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13, 17], 'hecke_orbit_code': 1236984136415, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 8, 8, 32, 32], 'label': '735.2.s', 'level': 735, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 256, 'mf_new_dim': 108, 'num_forms': 14, 'prim_orbit_index': 7, 'relative_dim': 54, 'sturm_bound': 224, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [108, 0, 0, 56, 0, 0, 0, 0, 6, 0, 0, 30, 0, 0, -8, -92, 0, 2, 6, 0, 0, 88, 0, -18, -54, 0, 0, 0, 0, -2, 54, 0, -24, 0, 0, 4, 22, 0, 0, 0, 0, 0, -108, 0, 18, 28, 0, 0, 0, 0, 10, -48, 0, -24, 0, 0, -52, 56, 0, -2, -12, 0, 0, -264, 0, 12, -86, 0, 0, 0, 0, 38, -42, 0, 0, 0, 0, 24, 18, 0, 14, -72, 0, 0, 48, 0, 6, 32, 0, 0, 0, 0, -66, 48, 0, 18, 0, 0, -68, 56, 0, -100, 114, 0, 0, 0, 0, 12, 62, 0, 0, 0, 0, 48, -48, 0, 66, 0, 0, -92, 50, 0, 58, 108, 0, 0, 252, 0, -12, -16, 0, 0, 0, 0, 4, -72, 0, -102, 0, 0, 28, -100, 0, 6, -36, 0, 0, 240, 0, 6, 60, 0, 0, 0, 0, 36, 48, 0, -96, 0, 0, -92, -136, 0, -26, -36, 0, 0, -256, 0, -102, -84, 0, 0, 0, 0, 40, 72, 0, 42, 0, 0, 124, 116, 0, -36, -180, 0, 0, -64, 0, 90, 62, 0, 0, 0, 0, -116, 60, 0, 24, 0, 0, 272, 16, 0, 66, -24, 0, 0, -216, 0, 36, -132, 0, 0, 0, 0, -106, -12, 0, 204, 0, 0, -12, -40, 0, 64, -6, 0, 0, 280, 0, -108, -16, 0, 0, 0, 0, 30, 48, 0, 0, 0, 0, 12, -10, 0, -82, 0, 0, 0, -152, 0, 36, -4, 0, 0, 0, 0, 124, -120, 0, -132, 0, 0, -164, 180, 0, 132, 108, 0, 0, -224, 0, -18, 54, 0, 0, 0, 0, -196, -42, 0, 48, 0, 0, 740, -30, 0, 62, -144, 0, 0, 64, 0, 108, -100, 0, 0, 0, 0, -46, 96, 0, -36, 0, 0, 324, -20, 0, 260, 66, 0, 0, -232, 0, -144, 20, 0, 0, 0, 0, 166, -6, 0, 108, 0, 0, -184, 218, 0, -130, 204, 0, 0, -140, 0, -48, 116, 0, 0, 0, 0, -74, -48, 0, -126, 0, 0, -188, 32, 0, -288, -72, 0, 0, -80, 0, 18, -112, 0, 0, 0, 0, -194, -138, 0, -90, 0, 0, -984, -210, 0, 4, -72, 0, 0, -212, 0, -6, -48, 0, 0, 0, 0, 192, 240, 0, 60, 0, 0, -416, 32, 0, -336, 30, 0, 0, 184, 0, 174, 134, 0, 0, 0, 0, 268, -6, 0, -96, 0, 0, 148, -96, 0, 254, 252, 0, 0, 412, 0, 48, -80, 0, 0, 0, 0, -118, -24, 0, 132, 0, 0, 64, -112, 0, -128, 276, 0, 0, 296, 0, -60, 16, 0, 0, 0, 0, 2, 72, 0, 96, 0, 0, 608, 70, 0, 56, -144, 0, 0, 332, 0, 72, 152, 0, 0, 0, 0, -20, -192, 0, -216, 0, 0, -312, -208, 0, 26, 6, 0, 0, 144, 0, 234, 106, 0, 0, 0, 0, 62, -156, 0, 96, 0, 0, -36, 42, 0, 128, -324, 0, 0, 72, 0, -66, 144, 0, 0, 0, 0, -202, 0, 0, 18, 0, 0, 100, -12, 0, 166, -342, 0, 0, -232, 0, -204, -14, 0, 0, 0, 0, 94, -12, 0, 36, 0, 0, -168, -86, 0, -84, 96, 0, 0, 424, 0, -150, -44, 0, 0, 0, 0, 68, 156, 0, -36, 0, 0, 388, -72, 0, -44, -48, 0, 0, -256, 0, -36, -294, 0, 0, 0, 0, -490, -102, 0, -78, 0, 0, 416, 216, 0, -138, 216, 0, 0, 276, 0, -12, 408, 0, 0, 0, 0, -12, 156, 0, 18, 0, 0, 128, -168, 0, 266, -174, 0, 0, 160, 0, 84, -288, 0, 0, 0, 0, 550, 198, 0, -144, 0, 0, 824, -54, 0, 48, 264, 0, 0, 376, 0, 12, 96, 0, 0, 0, 0, -60, 132, 0, 246, 0, 0, -212, -104, 0, -94, 96, 0, 0, 48, 0, 18, 60, 0, 0, 0, 0, 84, 54, 0, -12, 0, 0, -848, -136, 0, 98, -12, 0, 0, -532, 0, -18, 100, 0, 0, 0, 0, 262, -84, 0, -84, 0, 0, -196, 380, 0, 82, -6, 0, 0, -312, 0, -6, -76, 0, 0, 0, 0, -180, 90, 0, 36, 0, 0, -1024, 244, 0, -16, 12, 0, 0, 0, 0, 84, -284, 0, 0, 0, 0, 172, -48, 0, 78, 0, 0, -132, -108, 0, -438, -210, 0, 0, -56, 0, -270, 174, 0, 0, 0, 0, -388, -216, 0, 162, 0, 0, 4, 18, 0, -408, -192, 0, 0, -264, 0, 12, -236, 0, 0, 0, 0, -22, -588, 0, 6, 0, 0, 360, 400, 0, 102, -54, 0, 0, -1752, 0, -24, -264, 0, 0, 0, 0, 504, 312, 0, 42, 0, 0, -808, -92, 0, -52, 0, 0, 0, -584, 0, -234, -756, 0, 0, 0, 0, 66, -60, 0, 6, 0, 0, 240, -600, 0, 196, 66, 0, 0, 176, 0, 252, 280, 0, 0, 0, 0, -122, 6, 0, -246, 0, 0, -216, 192, 0, -282, -240, 0, 0, 44, 0, 216, 408, 0, 0, 0, 0, 280, -24, 0, 96, 0, 0, 40, 596, 0, 568, 36, 0, 0, 1616, 0, 24, -24, 0, 0, 0, 0, 110, 174, 0, -24, 0, 0, -720, -220, 0, -166, 48, 0, 0, 516, 0, 96, 780, 0, 0, 0, 0, -10, -72, 0, -150, 0, 0, 576, -244, 0, -2, 336, 0, 0, 800, 0, 108, -406, 0, 0, 0, 0, -128, -204, 0, 90, 0, 0, 616, 166, 0, -30, -132, 0, 0, -44, 0, -60, 412, 0, 0, 0, 0, -360, 372, 0, 60, 0, 0, 312, -8, 0, -100, 432, 0, 0, -1120, 0, 24, 290, 0, 0, 0, 0, -264, 24, 0, -216, 0, 0, -28, 40, 0, -102, 192, 0, 0, -188, 0, -192, 4, 0, 0, 0, 0, 0, -36, 0, -168, 0, 0, -300, -24, 0, 194, 96, 0, 0, 496, 0, -60, -178, 0, 0, 0, 0, -230, -174, 0, -234, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47015680
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533633630470879, 'target_is_minimal': False, 'target_label': '735.2.s.j.521.1', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47015681
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526434375729887, 'target_is_minimal': False, 'target_label': '735.2.s.h.521.2', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47015682
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 656, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022834748359391, 'target_is_minimal': False, 'target_label': '735.2.s.g.656.2', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47015683
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007772265, 'target_is_minimal': True, 'target_label': '105.2.b.c.41.2', 'target_level': 105, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47015684
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635142761, 'target_is_minimal': True, 'target_label': '105.2.b.d.41.2', 'target_level': 105, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47015685
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 656, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526434375729887, 'target_is_minimal': False, 'target_label': '735.2.s.h.656.2', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47015686
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030034003100383, 'target_is_minimal': False, 'target_label': '735.2.s.i.521.1', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47015687
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 656, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030034003100383, 'target_is_minimal': False, 'target_label': '735.2.s.i.656.1', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47015688
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 656, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533633630470879, 'target_is_minimal': False, 'target_label': '735.2.s.j.656.1', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47015689
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268007772265, 'target_is_minimal': True, 'target_label': '105.2.b.c.41.3', 'target_level': 105, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47015690
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510867635142761, 'target_is_minimal': True, 'target_label': '105.2.b.d.41.3', 'target_level': 105, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47015691
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022834748359391, 'target_is_minimal': False, 'target_label': '735.2.s.g.521.2', 'target_level': 735, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47015692
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022533264, 'target_is_minimal': False, 'target_label': '1680.2.f.h.881.1', 'target_level': 1680, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47015693
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021941395162768, 'target_is_minimal': False, 'target_label': '1680.2.f.g.881.4', 'target_level': 1680, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47015694
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014810859897357, 'target_is_minimal': False, 'target_label': '525.2.g.e.524.4', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '35.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47015695
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014467262513677, 'target_is_minimal': False, 'target_label': '525.2.b.e.251.3', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47015696
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014810859897357, 'target_is_minimal': False, 'target_label': '525.2.g.e.524.5', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47015697
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232526861, 'target_is_minimal': False, 'target_label': '525.2.g.d.524.3', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '35.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 47015698
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021666517254669, 'target_is_minimal': False, 'target_label': '525.2.b.g.251.3', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 47015699
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511211232526861, 'target_is_minimal': False, 'target_label': '525.2.g.d.524.6', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '35.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47015700
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525541022533264, 'target_is_minimal': False, 'target_label': '1680.2.f.h.881.2', 'target_level': 1680, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47015701
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021941395162768, 'target_is_minimal': False, 'target_label': '1680.2.f.g.881.3', 'target_level': 1680, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47015702
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511211232526861, 'target_is_minimal': False, 'target_label': '525.2.g.d.524.4', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '105.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47015703
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014810859897357, 'target_is_minimal': False, 'target_label': '525.2.g.e.524.3', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '105.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 47015704
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511211232526861, 'target_is_minimal': False, 'target_label': '525.2.g.d.524.5', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '105.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47015705
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 524, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014810859897357, 'target_is_minimal': False, 'target_label': '525.2.g.e.524.6', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '105.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 47015706
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467262513677, 'target_is_minimal': False, 'target_label': '525.2.b.e.251.2', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '105.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47015707
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 521, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40533633630470879, 'source_is_minimal': False, 'source_label': '735.2.s.j.521.1', 'source_level': 735, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666517254669, 'target_is_minimal': False, 'target_label': '525.2.b.g.251.2', 'target_level': 525, 'twist_class_label': '105.2.b.c.41.2', 'twist_class_level': 105, 'twisting_char_label': '105.74', 'twisting_conrey_index': 74, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1266300
{'charpoly_factorization': [[[4, 6, 1, -3, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 2}
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id: 1266301
{'charpoly_factorization': [[[9, -3, -2, -1, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 3}
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id: 1266302
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 40533633630470879, 'p': 5}
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id: 1266303
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40533633630470879, 'p': 7}
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id: 1266304
{'charpoly_factorization': [[[4, 6, 1, -3, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 11}
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id: 1266305
{'charpoly_factorization': [[[576, 0, 51, 0, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 13}
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id: 1266306
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 17}
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id: 1266307
{'charpoly_factorization': [[[12, -6, 1], 2]], 'hecke_orbit_code': 40533633630470879, 'p': 19}
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id: 1266308
{'charpoly_factorization': [[[256, -288, 124, -18, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 23}
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id: 1266309
{'charpoly_factorization': [[[16, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 29}
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id: 1266310
{'charpoly_factorization': [[[12, -6, 1], 2]], 'hecke_orbit_code': 40533633630470879, 'p': 31}
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id: 1266311
{'charpoly_factorization': [[[1024, 64, 36, -2, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 37}
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id: 1266312
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 40533633630470879, 'p': 41}
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id: 1266313
{'charpoly_factorization': [[[-32, 2, 1], 2]], 'hecke_orbit_code': 40533633630470879, 'p': 43}
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id: 1266314
{'charpoly_factorization': [[[144, -108, 69, -9, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 47}
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id: 1266315
{'charpoly_factorization': [[[256, -288, 124, -18, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 53}
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id: 1266316
{'charpoly_factorization': [[[576, 144, 60, -6, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 59}
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id: 1266317
{'charpoly_factorization': [[[48, 12, 1], 2]], 'hecke_orbit_code': 40533633630470879, 'p': 61}
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id: 1266318
{'charpoly_factorization': [[[1024, 64, 36, -2, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 67}
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id: 1266319
{'charpoly_factorization': [[[16, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 71}
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id: 1266320
{'charpoly_factorization': [[[48, -12, 1], 2]], 'hecke_orbit_code': 40533633630470879, 'p': 73}
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id: 1266321
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 79}
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id: 1266322
{'charpoly_factorization': [[[-96, 12, 1], 2]], 'hecke_orbit_code': 40533633630470879, 'p': 83}
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id: 1266323
{'charpoly_factorization': [[[2304, 864, 276, 18, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 89}
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id: 1266324
{'charpoly_factorization': [[[144, 0, 123, 0, 1], 1]], 'hecke_orbit_code': 40533633630470879, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 19, 'hecke_orbit': 10, 'label': '735.2.s.j', 'level': 735, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 54048655
{'hecke_orbit_code': 40533633630470879, 'n': 1, 'trace_an': 4}
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id: 54048656
{'hecke_orbit_code': 40533633630470879, 'n': 2, 'trace_an': 3}
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id: 54048657
{'hecke_orbit_code': 40533633630470879, 'n': 3, 'trace_an': 1}
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id: 54048658
{'hecke_orbit_code': 40533633630470879, 'n': 4, 'trace_an': 3}
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id: 54048659
{'hecke_orbit_code': 40533633630470879, 'n': 5, 'trace_an': -2}
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id: 54048660
{'hecke_orbit_code': 40533633630470879, 'n': 6, 'trace_an': -4}
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id: 54048661
{'hecke_orbit_code': 40533633630470879, 'n': 7, 'trace_an': 0}
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id: 54048662
{'hecke_orbit_code': 40533633630470879, 'n': 8, 'trace_an': 0}
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id: 54048663
{'hecke_orbit_code': 40533633630470879, 'n': 9, 'trace_an': 5}
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id: 54048664
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