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{'Nk2': 29760, 'analytic_conductor': 59.4086991038326, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [31, -1]], 'atkin_lehner_string': '-+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 7636, 'field_disc_factorization': [[2, 2], [23, 1], [83, 1]], 'field_poly': [-18, -16, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-18, -16, 0, 1]], [11, [2, 1]], [13, [-18, -16, 0, 1]], [17, [44, -40, -2, 1]], [19, [4, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383122704, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7440.2.a.bq', 'level': 7440, '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, 31], 'level_radical': 930, 'minimal_twist': '1860.2.a.h', 'nf_label': '3.3.7636.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}+\\beta _{1}q^{7}+q^{9}-2q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7440.2.a', 'trace_display': [0, -3, 3, 0], 'trace_hash': 1976699323460490623, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [-0.5773502691896257, 0.0], [0.0, 0.0], [0.4472135954999579, 0.0], [0.0, 0.0], [-0.47089158312066653, 0.0], [0.0, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [-0.6030226891555273, 0.0], [0.0, 0.0], [-0.3455399544277615, 0.0], [0.0, 0.0], [-0.25819888974716115, 0.0], [0.0, 0.0], [-1.444567351075069, 0.0], [0.0, 0.0], [-0.9176629354822471, 0.0], [0.0, 0.0], [0.2718693822738458, 0.0], [0.0, 0.0], [-1.2419334880402642, 0.0], [0.0, 0.0], [0.2, 0.0], [0.0, 0.0], [-0.19245008972987526, 0.0], [0.0, 0.0], [1.7087621502355568, 0.0], [0.0, 0.0], [0.1796053020267749, 0.0], [0.0, 0.0], [0.3481553119113957, 0.0], [0.0, 0.0], [-0.21058911797806057, 0.0], [0.0, 0.0], [-0.5336164295816508, 0.0], [0.0, 0.0], [0.1994975857046391, 0.0], [0.0, 0.0], [0.6246950475544243, 0.0], [0.0, 0.0], [-0.30499714066520933, 0.0], [0.0, 0.0], [0.14907119849998599, 0.0], [0.0, 0.0], [-1.523972315934879, 0.0], [0.0, 0.0], [-0.7782611169461124, 0.0], [0.0, 0.0], [0.8340213490057357, 0.0], [0.0, 0.0], [-1.1603983933074493, 0.0], [0.0, 0.0], [-0.26967994498529685, 0.0], [0.0, 0.0], [0.5298129428260175, 0.0], [0.0, 0.0], [0.41686043987649835, 0.0], [0.0, 0.0], [1.781275646861755, 0.0], [0.0, 0.0], [-0.15696386104022217, 0.0], [0.0, 0.0], [-0.15453016540853082, 0.0], [0.0, 0.0], [1.5474403942267903, 0.0], [0.0, 0.0], [0.7170306336356573, 0.0], [0.0, 0.0], [1.387785662113322, 0.0], [0.0, 0.0], [-0.2033690670120108, 0.0], [0.0, 0.0], [-0.11547005383792515, 0.0], [0.0, 0.0], [0.2839583087541278, 0.0], [0.0, 0.0], [-0.6147907514640079, 0.0], [0.0, 0.0], [0.1111111111111111, 0.0], [0.0, 0.0], [1.0928243628923258, 0.0], [0.0, 0.0], [-0.6460301590161316, 0.0], [0.0, 0.0], [-0.9865542874195424, 0.0], [0.0, 0.0], [1.7712820827687632, 0.0], [0.0, 0.0], [0.16271185617193157, 0.0], [0.0, 0.0], [-0.10369516947304253, 0.0], [0.0, 0.0], [-0.41039134083406165, 0.0], [0.0, 0.0], [1.615639890820698, 0.0], [0.0, 0.0], [-0.20100756305184242, 0.0], [0.0, 0.0]], 'angles': [None, None, None, -0.2878275058586239, -0.29874555726053414, -0.2776358627956041, -0.37845374502643014, -0.3258659164556367, -0.35662990461621497, -0.0869682618017021, None, -0.2929845137364769, -0.19944233259851857, -0.27436597287874304, -0.38788779843106586, -0.3485126508047718, -0.21658229174564794, -0.0751291521814494, -0.10919681975650644, -0.12794706753399407, -0.26621161575343005, -0.2997287045607527, -0.15799661085702474, -0.076859690056521, -0.10032367284085777, -0.3953919230728743, -0.263641110014318, -0.45504416976925005, -0.2649315901468331, -0.15004405786995273, -0.1388517636679488, -0.31212554129980624, -0.1398425313717672, -0.11769804371344703, -0.1607536277269441, -0.16913905501741305, -0.275513022537652, -0.19430581764603455, -0.08415348119655487, -0.2226905203836164, -0.38357360238613025, -0.30383381700201934, -0.2397350674146803, -0.2964829091706456, -0.40223404031803983, -0.34506813092168587, -0.30829074066747614, -0.20955523247113816, -0.24976815135295968, -0.13225185679562015, -0.1998327814447031, -0.39477287664115834, -0.432731713142517, -0.1353922724545732, -0.324397700673916, -0.24216499650470433, -0.32353561300406836, -0.09364601573866674, -0.25360610379479415, -0.18923371206527048, -0.12594022576855388, -0.256809928624565, -0.3940605006753199, -0.23091857741646737, -0.3495726932635113, -0.3121383172125955, -0.1266307749641593, -0.24673068670982998, -0.09871732189691222, -0.1890742386109094, -0.15114175885903464, -0.18670132008348336, -0.1577586970624959, -0.26483860359749073, -0.22116145205926127, -0.17861605463190744, -0.16161136119413816, -0.36791247715143677, -0.16633315690145017, -0.2620965222373953, -0.4259687081401182, -0.09904456461559875, -0.18613218251277394, -0.43846718989017747, -0.17947590076385414, -0.2646461282601805, -0.11878239871979697, -0.1200493086281272, -0.2843717386090899, -0.11132878003529632, -0.3119162077874479, -0.25794944248690904, -0.12992543222119426, -0.2952729800192484, -0.11874570416009764, -0.17903782180231675, -0.3175811699419657, -0.32149534392767753, -0.24101934332528785, -0.1366811828759874], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.245862023410784, 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383122704, 'label': '7440.2.a.bq.1.2', 'level': 7440, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 8, 9, 6, 8, 7, 6, 9, 8, 7, 6, 9, 7, 8, 9, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [82, 90, 92, 85, 87, 90, 88, 83, 91, 82, 84, 91, 89, 86, 84, 89], 'Nk2': 29760, 'analytic_conductor': 59.4086991038326, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 120, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33561872, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '7440.2.a', 'level': 7440, '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, 31], 'level_radical': 930, 'mf_dim': 1560, 'mf_new_dim': 120, 'num_forms': 58, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 3072, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [120, 0, 0, 0, 0, 0, -8, 0, 120, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 120, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, -16, 0, 0, 0, 0, 0, 104, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, -16, 0, 120, 0, 48, 0, 0, 0, -24, 0, -16, 0, -48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -96, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, -80, 0, 168, 0, -48, 0, 0, 0, -16, 0, 0, 0, 48, 0, -32, 0, 0, 0, 64, 0, -80, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 8, 0, 0, 0, 16, 0, 136, 0, 0, 0, 0, 0, -8, 0, 0, 0, 32, 0, -32, 0, -32, 0, 16, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48966968
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383122704, 'source_is_minimal': False, 'source_label': '7440.2.a.bq.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383122704, 'target_is_minimal': False, 'target_label': '7440.2.a.bq.1.2', 'target_level': 7440, 'twist_class_label': '1860.2.a.h.1.2', 'twist_class_level': 1860, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48966969
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383122704, 'source_is_minimal': False, 'source_label': '7440.2.a.bq.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425149764, 'target_is_minimal': True, 'target_label': '1860.2.a.h.1.2', 'target_level': 1860, 'twist_class_label': '1860.2.a.h.1.2', 'twist_class_level': 1860, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48966970
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383122704, 'source_is_minimal': False, 'source_label': '7440.2.a.bq.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052523980, 'target_is_minimal': False, 'target_label': '5580.2.a.i.1.2', 'target_level': 5580, 'twist_class_label': '1860.2.a.h.1.2', 'twist_class_level': 1860, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48966971
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383122704, 'source_is_minimal': False, 'source_label': '7440.2.a.bq.1.2', 'source_level': 7440, 'target_conrey_index': 3349, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 76561606015722580, 'target_is_minimal': False, 'target_label': '9300.2.g.r.3349.5', 'target_level': 9300, 'twist_class_label': '1860.2.a.h.1.2', 'twist_class_level': 1860, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48966972
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383122704, 'source_is_minimal': False, 'source_label': '7440.2.a.bq.1.2', 'source_level': 7440, 'target_conrey_index': 3349, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561606015722580, 'target_is_minimal': False, 'target_label': '9300.2.g.r.3349.2', 'target_level': 9300, 'twist_class_label': '1860.2.a.h.1.2', 'twist_class_level': 1860, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48966973
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 189151184383122704, 'source_is_minimal': False, 'source_label': '7440.2.a.bq.1.2', 'source_level': 7440, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953603156, 'target_is_minimal': False, 'target_label': '9300.2.a.t.1.2', 'target_level': 9300, 'twist_class_label': '1860.2.a.h.1.2', 'twist_class_level': 1860, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4474750
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 2}
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id: 4474751
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 3}
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id: 4474752
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 5}
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id: 4474753
{'charpoly_factorization': [[[-18, -16, 0, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 7}
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id: 4474754
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 11}
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id: 4474755
{'charpoly_factorization': [[[-18, -16, 0, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 13}
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id: 4474756
{'charpoly_factorization': [[[44, -40, -2, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 17}
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id: 4474757
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 19}
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id: 4474758
{'charpoly_factorization': [[[44, -40, -2, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 23}
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id: 4474759
{'charpoly_factorization': [[[-54, -42, -4, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 29}
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id: 4474760
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 31}
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id: 4474761
{'charpoly_factorization': [[[-42, -4, 6, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 37}
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id: 4474762
{'charpoly_factorization': [[[-4, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 41}
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id: 4474763
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 189151184383122704, 'p': 43}
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id: 4474764
{'charpoly_factorization': [[[-132, -80, 4, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 47}
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id: 4474765
{'charpoly_factorization': [[[36, -84, -2, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 53}
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id: 4474766
{'charpoly_factorization': [[[-234, 18, 14, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 59}
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id: 4474767
{'charpoly_factorization': [[[-24, -164, -2, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 61}
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id: 4474768
{'charpoly_factorization': [[[822, -200, -2, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 67}
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id: 4474769
{'charpoly_factorization': [[[702, -150, -4, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 71}
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id: 4474770
{'charpoly_factorization': [[[-206, -132, -6, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 73}
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id: 4474771
{'charpoly_factorization': [[[-612, -120, 4, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 79}
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id: 4474772
{'charpoly_factorization': [[[84, -8, -10, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 83}
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id: 4474773
{'charpoly_factorization': [[[-486, 318, -34, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 89}
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id: 4474774
{'charpoly_factorization': [[[288, -144, -8, 1], 1]], 'hecke_orbit_code': 189151184383122704, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '7440.2.a.bq', 'level': 7440, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 70861999
{'hecke_orbit_code': 189151184383122704, 'n': 1, 'trace_an': 3}
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id: 70862000
{'hecke_orbit_code': 189151184383122704, 'n': 2, 'trace_an': 0}
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id: 70862001
{'hecke_orbit_code': 189151184383122704, 'n': 3, 'trace_an': -3}
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id: 70862002
{'hecke_orbit_code': 189151184383122704, 'n': 4, 'trace_an': 0}
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id: 70862003
{'hecke_orbit_code': 189151184383122704, 'n': 5, 'trace_an': 3}
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id: 70862004
{'hecke_orbit_code': 189151184383122704, 'n': 6, 'trace_an': 0}
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id: 70862005
{'hecke_orbit_code': 189151184383122704, 'n': 7, 'trace_an': 0}
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id: 70862006
{'hecke_orbit_code': 189151184383122704, 'n': 8, 'trace_an': 0}
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id: 70862007
{'hecke_orbit_code': 189151184383122704, 'n': 9, 'trace_an': 3}
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id: 70862008
{'hecke_orbit_code': 189151184383122704, 'n': 10, 'trace_an': 0}
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id: 70862009
{'hecke_orbit_code': 189151184383122704, 'n': 11, 'trace_an': -6}
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id: 70862010
{'hecke_orbit_code': 189151184383122704, 'n': 12, 'trace_an': 0}
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id: 70862011
{'hecke_orbit_code': 189151184383122704, 'n': 13, 'trace_an': 0}
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id: 70862012
{'hecke_orbit_code': 189151184383122704, 'n': 14, 'trace_an': 0}
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id: 70862013
{'hecke_orbit_code': 189151184383122704, 'n': 15, 'trace_an': -3}
-
id: 70862014
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id: 70862250
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id: 70862251
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id: 70862252
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id: 70862253
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id: 70862254
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id: 70862255
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id: 70862256
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