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{'Nk2': 16080, 'analytic_conductor': 32.09986161255471, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [67, -1]], 'atkin_lehner_string': '--+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4020, 1, [2011, 2681, 3217, 1141], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 195727752, 'field_disc_factorization': [[2, 3], [3, 9], [11, 1], [113, 1]], 'field_poly': [3, 9, -3, -25, -15, 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, [176, -264, 51, 60, -18, -3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781428, 'hecke_ring_generator_nbound': 13, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4020.2.a.g', 'level': 4020, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 67], 'level_radical': 2010, 'minimal_twist': '4020.2.a.g', 'nf_label': '6.6.195727752.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+(\\beta _{1}+\\beta _{4})q^{7}+q^{9}+(-\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4020.2.a', 'trace_display': [0, 6, -6, 3], 'trace_hash': 1435412458252080751, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.371', 'prec': 17}, {'__RealLiteral__': 0, 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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [67, -1]], 4, 1], [[[2, -1], [3, 1], [5, 1], [67, -1]], 4, 1], [[[2, -1], [3, 1], [5, 1], [67, 1]], 7, 1], [[[2, -1], [3, 1], [5, -1], [67, -1]], 6, 1], [[[2, -1], [3, -1], [5, 1], [67, -1]], 6, 1], [[[2, -1], [3, -1], [5, -1], [67, 1]], 7, 1], [[[2, -1], [3, 1], [5, -1], [67, 1]], 5, 1], [[[2, -1], [3, -1], [5, 1], [67, 1]], 5, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 5, 6, 5, 6, 7, 4], 'Nk2': 16080, 'analytic_conductor': 32.09986161255471, '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': [4020, 1, [2011, 2681, 3217, 1141], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 805, 'dim': 44, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 33558452, 'hecke_orbit_dims': [1, 4, 4, 4, 5, 6, 6, 7, 7], 'label': '4020.2.a', 'level': 4020, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 27021597797781428, 'source_is_minimal': True, 'source_label': '4020.2.a.g.1.5', 'source_level': 4020, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021597797781428, 'target_is_minimal': True, 'target_label': '4020.2.a.g.1.5', 'target_level': 4020, 'twist_class_label': '4020.2.a.g.1.5', 'twist_class_level': 4020, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3473600
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 27021597797781428, 'p': 2}
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id: 3473601
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 27021597797781428, 'p': 3}
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id: 3473602
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 27021597797781428, 'p': 5}
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id: 3473603
{'charpoly_factorization': [[[176, -264, 51, 60, -18, -3, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 7}
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id: 3473604
{'charpoly_factorization': [[[72, -216, 117, 90, -36, -3, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 11}
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id: 3473605
{'charpoly_factorization': [[[46, -210, 141, 119, -39, -3, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 13}
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id: 3473606
{'charpoly_factorization': [[[-30, -162, 21, 125, -24, -6, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 17}
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id: 3473607
{'charpoly_factorization': [[[-64, 48, 153, -27, -33, 3, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 19}
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id: 3473608
{'charpoly_factorization': [[[-2640, -2376, 939, 254, -60, -6, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 23}
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id: 3473609
{'charpoly_factorization': [[[21516, 4752, -6549, 937, 75, -21, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 29}
-
id: 3473610
{'charpoly_factorization': [[[3370, 5076, 1155, -256, -72, 3, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 31}
-
id: 3473611
{'charpoly_factorization': [[[9476, 9756, 2505, -180, -102, 0, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 37}
-
id: 3473612
{'charpoly_factorization': [[[-960, -3024, 753, 424, -60, -9, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 41}
-
id: 3473613
{'charpoly_factorization': [[[-6040, -16224, 7263, -36, -168, 3, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 43}
-
id: 3473614
{'charpoly_factorization': [[[119256, -15984, -9609, 1891, 21, -21, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 47}
-
id: 3473615
{'charpoly_factorization': [[[287100, -125928, 2583, 2955, -171, -15, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 53}
-
id: 3473616
{'charpoly_factorization': [[[18198, -3726, -3105, 933, -9, -15, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 59}
-
id: 3473617
{'charpoly_factorization': [[[25524, -13392, -1395, 1009, -33, -15, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 61}
-
id: 3473618
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 27021597797781428, 'p': 67}
-
id: 3473619
{'charpoly_factorization': [[[473094, -124362, -5319, 3333, -126, -18, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 71}
-
id: 3473620
{'charpoly_factorization': [[[-108284, 11616, 9501, -481, -210, 6, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 73}
-
id: 3473621
{'charpoly_factorization': [[[-76530, -16272, 31653, 2554, -390, -9, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 79}
-
id: 3473622
{'charpoly_factorization': [[[-360, -144, 1215, -809, 210, -24, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 83}
-
id: 3473623
{'charpoly_factorization': [[[1927500, -453024, -31983, 9467, -258, -24, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 89}
-
id: 3473624
{'charpoly_factorization': [[[-13450, 18666, -9339, 1977, -129, -9, 1], 1]], 'hecke_orbit_code': 27021597797781428, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '4020.2.a.g', 'level': 4020, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 176642000
{'hecke_orbit_code': 27021597797781428, 'n': 1, 'trace_an': 6}
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id: 176642001
{'hecke_orbit_code': 27021597797781428, 'n': 2, 'trace_an': 0}
-
id: 176642002
{'hecke_orbit_code': 27021597797781428, 'n': 3, 'trace_an': 6}
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id: 176642003
{'hecke_orbit_code': 27021597797781428, 'n': 4, 'trace_an': 0}
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id: 176642004
{'hecke_orbit_code': 27021597797781428, 'n': 5, 'trace_an': -6}
-
id: 176642005
{'hecke_orbit_code': 27021597797781428, 'n': 6, 'trace_an': 0}
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id: 176642006
{'hecke_orbit_code': 27021597797781428, 'n': 7, 'trace_an': 3}
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id: 176642007
{'hecke_orbit_code': 27021597797781428, 'n': 8, 'trace_an': 0}
-
id: 176642008
{'hecke_orbit_code': 27021597797781428, 'n': 9, 'trace_an': 6}
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id: 176642009
{'hecke_orbit_code': 27021597797781428, 'n': 10, 'trace_an': 0}
-
id: 176642010
{'hecke_orbit_code': 27021597797781428, 'n': 11, 'trace_an': 3}
-
id: 176642011
{'hecke_orbit_code': 27021597797781428, 'n': 12, 'trace_an': 0}
-
id: 176642012
{'hecke_orbit_code': 27021597797781428, 'n': 13, 'trace_an': 3}
-
id: 176642013
{'hecke_orbit_code': 27021597797781428, 'n': 14, 'trace_an': 0}
-
id: 176642014
{'hecke_orbit_code': 27021597797781428, 'n': 15, 'trace_an': -6}
-
id: 176642015
{'hecke_orbit_code': 27021597797781428, 'n': 16, 'trace_an': 0}
-
id: 176642016
{'hecke_orbit_code': 27021597797781428, 'n': 17, 'trace_an': 6}
-
id: 176642017
{'hecke_orbit_code': 27021597797781428, 'n': 18, 'trace_an': 0}
-
id: 176642018
{'hecke_orbit_code': 27021597797781428, 'n': 19, 'trace_an': -3}
-
id: 176642019
{'hecke_orbit_code': 27021597797781428, 'n': 20, 'trace_an': 0}
-
id: 176642020
{'hecke_orbit_code': 27021597797781428, 'n': 21, 'trace_an': 3}
-
id: 176642021
{'hecke_orbit_code': 27021597797781428, 'n': 22, 'trace_an': 0}
-
id: 176642022
{'hecke_orbit_code': 27021597797781428, 'n': 23, 'trace_an': 6}
-
id: 176642023
{'hecke_orbit_code': 27021597797781428, 'n': 24, 'trace_an': 0}
-
id: 176642024
{'hecke_orbit_code': 27021597797781428, 'n': 25, 'trace_an': 6}
-
id: 176642025
{'hecke_orbit_code': 27021597797781428, 'n': 26, 'trace_an': 0}
-
id: 176642026
{'hecke_orbit_code': 27021597797781428, 'n': 27, 'trace_an': 6}
-
id: 176642027
{'hecke_orbit_code': 27021597797781428, 'n': 28, 'trace_an': 0}
-
id: 176642028
{'hecke_orbit_code': 27021597797781428, 'n': 29, 'trace_an': 21}
-
id: 176642029
{'hecke_orbit_code': 27021597797781428, 'n': 30, 'trace_an': 0}
-
id: 176642030
{'hecke_orbit_code': 27021597797781428, 'n': 31, 'trace_an': -3}
-
id: 176642031
{'hecke_orbit_code': 27021597797781428, 'n': 32, 'trace_an': 0}
-
id: 176642032
{'hecke_orbit_code': 27021597797781428, 'n': 33, 'trace_an': 3}
-
id: 176642033
{'hecke_orbit_code': 27021597797781428, 'n': 34, 'trace_an': 0}
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