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mf_newforms • Show schema
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{'Nk2': 8280, 'analytic_conductor': 16.52903321840504, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [2070, 4, [461, 1657, 1891], [2, 3, 4]], 'cm_discs': [], 'conrey_index': 323, 'conrey_indexes': [323, 737], 'dim': 20, 'field_disc': 112318598614706308028999177076736, 'field_disc_factorization': [[2, 44], [7, 4], [43, 4], [167, 4]], 'field_poly': [3721, 0, 8700, 0, -4125, 0, -5668, 0, 10837, 0, -7896, 0, 3533, 0, -1012, 0, 187, 0, -20, 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': [[7, [32768, -28672, 12544, 28416, 19584, 4800, 624, 48, 32, 8, 1]], [11, [128, 0, 528, 0, 720, 0, 348, 0, 36, 0, 1]], [17, [16777216, 0, 0, 0, 24182784, 0, 0, 0, 10248192, 0, 0, 0, 1125120, 0, 0, 0, 2400, 0, 0, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533015155181590, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 5, 1, 4, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 3, 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': '2070.2.j.j', 'level': 2070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '2070.2.j.j', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{13}q^{2}+\\beta _{5}q^{4}+(-\\beta _{12}-\\beta _{16}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2070.2.j', 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mf_hecke_nf • Show schema
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-
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{'Nk2': 8280, 'analytic_conductor': 16.52903321840504, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [2070, 4, [461, 1657, 1891], [2, 3, 4]], 'conrey_index': 323, 'cusp_dim': 832, 'dim': 88, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 618508847126, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 12, 16, 16, 20], 'label': '2070.2.j', 'level': 2070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 896, 'mf_new_dim': 88, 'num_forms': 10, 'prim_orbit_index': 5, 'relative_dim': 44, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, -16], 'traces': [88, 0, 0, 0, 0, 0, -16, 0, 0, 16, 0, 0, -8, 0, 0, -88, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, -64, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 869644
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 20, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '2070.2.j.j', 'source_level': 2070, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2070.2.j.j', 'target_level': 2070, 'twist_class_label': '2070.2.j.j', 'twist_class_level': 2070, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 869645
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 20, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '2070.2.j.j', 'source_level': 2070, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2070.2.j.j', 'target_level': 2070, 'twist_class_label': '2070.2.j.j', 'twist_class_level': 2070, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 869646
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 20, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '2070.2.j.j', 'source_level': 2070, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2070.2.j.j', 'target_level': 2070, 'twist_class_label': '2070.2.j.j', 'twist_class_level': 2070, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 869647
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 20, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '2070.2.j.j', 'source_level': 2070, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2070.2.j.j', 'target_level': 2070, 'twist_class_label': '2070.2.j.j', 'twist_class_level': 2070, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2404900
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 5]], 'hecke_orbit_code': 40533015155181590, 'p': 2}
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id: 2404901
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 40533015155181590, 'p': 3}
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id: 2404902
{'charpoly_factorization': [[[9765625, 0, 4687500, 0, 1640625, 0, 480000, 0, 120750, 0, 27112, 0, 4830, 0, 768, 0, 105, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 40533015155181590, 'p': 5}
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id: 2404903
{'charpoly_factorization': [[[32768, -28672, 12544, 28416, 19584, 4800, 624, 48, 32, 8, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 7}
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id: 2404904
{'charpoly_factorization': [[[128, 0, 528, 0, 720, 0, 348, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 11}
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id: 2404905
{'charpoly_factorization': [[[8192, 0, 0, 3072, 9600, 3328, 576, 0, 18, 6, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 13}
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id: 2404906
{'charpoly_factorization': [[[16777216, 0, 0, 0, 24182784, 0, 0, 0, 10248192, 0, 0, 0, 1125120, 0, 0, 0, 2400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 40533015155181590, 'p': 17}
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id: 2404907
{'charpoly_factorization': [[[2715904, 0, 944784, 0, 116688, 0, 6220, 0, 136, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 19}
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id: 2404908
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 5]], 'hecke_orbit_code': 40533015155181590, 'p': 23}
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id: 2404909
{'charpoly_factorization': [[[-39854592, 0, 16929280, 0, -1060160, 0, 25584, 0, -266, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 29}
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id: 2404910
{'charpoly_factorization': [[[3712, 80, -432, -20, 12, 1], 4]], 'hecke_orbit_code': 40533015155181590, 'p': 31}
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id: 2404911
{'charpoly_factorization': [[[101274912, 77934432, 29986576, 6253088, 839192, 96792, 19052, 3608, 450, 30, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 37}
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id: 2404912
{'charpoly_factorization': [[[32, 0, 4176, 0, 16848, 0, 3048, 0, 138, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 41}
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id: 2404913
{'charpoly_factorization': [[[1152, 9408, 38416, -30112, 12416, 2544, 284, -48, 32, 8, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 43}
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id: 2404914
{'charpoly_factorization': [[[232294665158656, 0, 0, 0, 11134319001600, 0, 0, 0, 72439095296, 0, 0, 0, 89535232, 0, 0, 0, 18656, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 40533015155181590, 'p': 47}
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id: 2404915
{'charpoly_factorization': [[[3225251301359616, 0, 0, 0, 42934635553024, 0, 0, 0, 144306800000, 0, 0, 0, 158757168, 0, 0, 0, 33352, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 40533015155181590, 'p': 53}
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id: 2404916
{'charpoly_factorization': [[[-25690112, 0, 533254400, 0, -14242432, 0, 141152, 0, -616, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 59}
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id: 2404917
{'charpoly_factorization': [[[-61456, -24716, 4904, -34, -26, 1], 4]], 'hecke_orbit_code': 40533015155181590, 'p': 61}
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id: 2404918
{'charpoly_factorization': [[[476288, -5438272, 31047184, 9100992, 1317472, 92720, 12588, 2704, 392, 28, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 67}
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id: 2404919
{'charpoly_factorization': [[[123008, 0, 701456, 0, 165472, 0, 9112, 0, 176, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 71}
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id: 2404920
{'charpoly_factorization': [[[112740128, 52195616, 12082576, -4147904, 1930640, 350064, 31464, 80, 50, 10, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 73}
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id: 2404921
{'charpoly_factorization': [[[4096, 0, 352512, 0, 136320, 0, 10096, 0, 232, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 79}
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id: 2404922
{'charpoly_factorization': [[[106970533134336, 0, 0, 0, 5922188562688, 0, 0, 0, 23203964288, 0, 0, 0, 23107888, 0, 0, 0, 8456, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 40533015155181590, 'p': 83}
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id: 2404923
{'charpoly_factorization': [[[-373248, 0, 263680, 0, -61536, 0, 5296, 0, -146, 0, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 89}
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id: 2404924
{'charpoly_factorization': [[[896168448, -189665280, 20070400, 20537216, 5151680, 460832, 22416, 936, 242, 22, 1], 2]], 'hecke_orbit_code': 40533015155181590, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 10, 'label': '2070.2.j.j', 'level': 2070, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 209237000
{'hecke_orbit_code': 40533015155181590, 'n': 1, 'trace_an': 20}
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id: 209237001
{'hecke_orbit_code': 40533015155181590, 'n': 2, 'trace_an': 0}
-
id: 209237002
{'hecke_orbit_code': 40533015155181590, 'n': 3, 'trace_an': 0}
-
id: 209237003
{'hecke_orbit_code': 40533015155181590, 'n': 4, 'trace_an': 0}
-
id: 209237004
{'hecke_orbit_code': 40533015155181590, 'n': 5, 'trace_an': 0}
-
id: 209237005
{'hecke_orbit_code': 40533015155181590, 'n': 6, 'trace_an': 0}
-
id: 209237006
{'hecke_orbit_code': 40533015155181590, 'n': 7, 'trace_an': -16}
-
id: 209237007
{'hecke_orbit_code': 40533015155181590, 'n': 8, 'trace_an': 0}
-
id: 209237008
{'hecke_orbit_code': 40533015155181590, 'n': 9, 'trace_an': 0}
-
id: 209237009
{'hecke_orbit_code': 40533015155181590, 'n': 10, 'trace_an': 12}
-
id: 209237010
{'hecke_orbit_code': 40533015155181590, 'n': 11, 'trace_an': 0}
-
id: 209237011
{'hecke_orbit_code': 40533015155181590, 'n': 12, 'trace_an': 0}
-
id: 209237012
{'hecke_orbit_code': 40533015155181590, 'n': 13, 'trace_an': -12}
-
id: 209237013
{'hecke_orbit_code': 40533015155181590, 'n': 14, 'trace_an': 0}
-
id: 209237014
{'hecke_orbit_code': 40533015155181590, 'n': 15, 'trace_an': 0}
-
id: 209237015
{'hecke_orbit_code': 40533015155181590, 'n': 16, 'trace_an': -20}
-
id: 209237016
{'hecke_orbit_code': 40533015155181590, 'n': 17, 'trace_an': 0}
-
id: 209237017
{'hecke_orbit_code': 40533015155181590, 'n': 18, 'trace_an': 0}
-
id: 209237018
{'hecke_orbit_code': 40533015155181590, 'n': 19, 'trace_an': 0}
-
id: 209237019
{'hecke_orbit_code': 40533015155181590, 'n': 20, 'trace_an': 0}
-
id: 209237020
{'hecke_orbit_code': 40533015155181590, 'n': 21, 'trace_an': 0}
-
id: 209237021
{'hecke_orbit_code': 40533015155181590, 'n': 22, 'trace_an': 0}
-
id: 209237022
{'hecke_orbit_code': 40533015155181590, 'n': 23, 'trace_an': 0}
-
id: 209237023
{'hecke_orbit_code': 40533015155181590, 'n': 24, 'trace_an': 0}
-
id: 209237024
{'hecke_orbit_code': 40533015155181590, 'n': 25, 'trace_an': -24}
-
id: 209237025
{'hecke_orbit_code': 40533015155181590, 'n': 26, 'trace_an': 0}
-
id: 209237026
{'hecke_orbit_code': 40533015155181590, 'n': 27, 'trace_an': 0}
-
id: 209237027
{'hecke_orbit_code': 40533015155181590, 'n': 28, 'trace_an': -16}
-
id: 209237028
{'hecke_orbit_code': 40533015155181590, 'n': 29, 'trace_an': 0}
-
id: 209237029
{'hecke_orbit_code': 40533015155181590, 'n': 30, 'trace_an': 0}
-
id: 209237030
{'hecke_orbit_code': 40533015155181590, 'n': 31, 'trace_an': -48}
-
id: 209237031
{'hecke_orbit_code': 40533015155181590, 'n': 32, 'trace_an': 0}
-
id: 209237032
{'hecke_orbit_code': 40533015155181590, 'n': 33, 'trace_an': 0}
-
id: 209237033
{'hecke_orbit_code': 40533015155181590, 'n': 34, 'trace_an': 0}
-
id: 209237034
{'hecke_orbit_code': 40533015155181590, 'n': 35, 'trace_an': 0}
-
id: 209237035
{'hecke_orbit_code': 40533015155181590, 'n': 36, 'trace_an': 0}
-
id: 209237036
{'hecke_orbit_code': 40533015155181590, 'n': 37, 'trace_an': -60}
-
id: 209237037
{'hecke_orbit_code': 40533015155181590, 'n': 38, 'trace_an': 0}
-
id: 209237038
{'hecke_orbit_code': 40533015155181590, 'n': 39, 'trace_an': 0}
-
id: 209237039
{'hecke_orbit_code': 40533015155181590, 'n': 40, 'trace_an': 0}
-
id: 209237040
{'hecke_orbit_code': 40533015155181590, 'n': 41, 'trace_an': 0}
-
id: 209237041
{'hecke_orbit_code': 40533015155181590, 'n': 42, 'trace_an': 0}
-
id: 209237042
{'hecke_orbit_code': 40533015155181590, 'n': 43, 'trace_an': -16}
-
id: 209237043
{'hecke_orbit_code': 40533015155181590, 'n': 44, 'trace_an': 0}
-
id: 209237044
{'hecke_orbit_code': 40533015155181590, 'n': 45, 'trace_an': 0}
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