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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, 1], [13, -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': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 316, 'field_disc_factorization': [[2, 2], [79, 1]], 'field_poly': [2, -4, -1, 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': [[5, [4, -4, -3, 1]], [11, [-8, -4, 3, 1]], [17, [44, -8, -5, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755749136, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': False, 'label': '4368.2.a.bp', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '2184.2.a.u', 'nf_label': '3.3.316.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(1-\\beta _{1})q^{5}-q^{7}+q^{9}+(-1+\\cdots)q^{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': '4368.2.a', 'trace_display': [0, -3, 3, -3], 'trace_hash': 1135879884438409317, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.095', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.877', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.973', 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [13, -1]], 5, 2], [[[2, 1], [3, -1], [7, 1], [13, 1]], 6, 5], [[[2, 1], [3, 1], [7, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 3, 3], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [7, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [3, -1], [7, -1], [13, 1]], 5, 3], [[[2, -1], [3, 1], [7, 1], [13, -1]], 5, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 4, 3]], 'ALdims': [6, 4, 3, 5, 6, 2, 3, 7, 4, 5, 3, 6, 6, 5, 5, 2], 'Nk2': 17472, 'analytic_conductor': 34.87865560289527, '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': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 873, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33558800, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4], 'label': '4368.2.a', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 72, 'num_forms': 45, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1792, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [72, 0, 0, 0, 0, 0, -4, 0, 72, 0, -8, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -8, 0, 72, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, -16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 32, 0, -4, 0, 0, 0, 16, 0, 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mf_twists_cc • Show schema
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id: 48948646
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 184647584755749136, 'source_is_minimal': False, 'source_label': '4368.2.a.bp.1.3', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 184647584755749136, 'target_is_minimal': False, 'target_label': '4368.2.a.bp.1.3', 'target_level': 4368, 'twist_class_label': '2184.2.a.u.1.3', 'twist_class_level': 2184, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48948647
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 184647584755749136, 'source_is_minimal': False, 'source_label': '4368.2.a.bp.1.3', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90071992580966536, 'target_is_minimal': True, 'target_label': '2184.2.a.u.1.3', 'target_level': 2184, 'twist_class_label': '2184.2.a.u.1.3', 'twist_class_level': 2184, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48948648
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 184647584755749136, 'source_is_minimal': False, 'source_label': '4368.2.a.bp.1.3', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501010328, 'target_is_minimal': False, 'target_label': '6552.2.a.bn.1.1', 'target_level': 6552, 'twist_class_label': '2184.2.a.u.1.3', 'twist_class_level': 2184, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3581400
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 184647584755749136, 'p': 2}
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id: 3581401
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 184647584755749136, 'p': 3}
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id: 3581402
{'charpoly_factorization': [[[4, -4, -3, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 5}
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id: 3581403
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 184647584755749136, 'p': 7}
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id: 3581404
{'charpoly_factorization': [[[-8, -4, 3, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 11}
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id: 3581405
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 184647584755749136, 'p': 13}
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id: 3581406
{'charpoly_factorization': [[[44, -8, -5, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 17}
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id: 3581407
{'charpoly_factorization': [[[16, -16, 1, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 19}
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id: 3581408
{'charpoly_factorization': [[[16, -16, 1, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 23}
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id: 3581409
{'charpoly_factorization': [[[4, 0, -7, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 29}
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id: 3581410
{'charpoly_factorization': [[[-128, -64, 4, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 31}
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id: 3581411
{'charpoly_factorization': [[[76, -32, -1, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 37}
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id: 3581412
{'charpoly_factorization': [[[16, -12, -4, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 41}
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id: 3581413
{'charpoly_factorization': [[[-16, -24, -5, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 43}
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id: 3581414
{'charpoly_factorization': [[[-1088, -88, 12, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 47}
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id: 3581415
{'charpoly_factorization': [[[344, -100, -6, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 53}
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id: 3581416
{'charpoly_factorization': [[[608, -136, 0, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 59}
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id: 3581417
{'charpoly_factorization': [[[4, 8, -11, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 61}
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id: 3581418
{'charpoly_factorization': [[[608, -128, -2, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 67}
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id: 3581419
{'charpoly_factorization': [[[32, -40, 8, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 71}
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id: 3581420
{'charpoly_factorization': [[[716, -232, -1, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 73}
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id: 3581421
{'charpoly_factorization': [[[-64, -16, 6, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 79}
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id: 3581422
{'charpoly_factorization': [[[656, -64, -10, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 83}
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id: 3581423
{'charpoly_factorization': [[[88, 4, -10, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 89}
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id: 3581424
{'charpoly_factorization': [[[-88, -100, 6, 1], 1]], 'hecke_orbit_code': 184647584755749136, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '4368.2.a.bp', 'level': 4368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273977000
{'hecke_orbit_code': 184647584755749136, 'n': 1, 'trace_an': 3}
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id: 273977001
{'hecke_orbit_code': 184647584755749136, 'n': 2, 'trace_an': 0}
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id: 273977002
{'hecke_orbit_code': 184647584755749136, 'n': 3, 'trace_an': -3}
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id: 273977003
{'hecke_orbit_code': 184647584755749136, 'n': 4, 'trace_an': 0}
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id: 273977004
{'hecke_orbit_code': 184647584755749136, 'n': 5, 'trace_an': 3}
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id: 273977005
{'hecke_orbit_code': 184647584755749136, 'n': 6, 'trace_an': 0}
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id: 273977006
{'hecke_orbit_code': 184647584755749136, 'n': 7, 'trace_an': -3}
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id: 273977007
{'hecke_orbit_code': 184647584755749136, 'n': 8, 'trace_an': 0}
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id: 273977008
{'hecke_orbit_code': 184647584755749136, 'n': 9, 'trace_an': 3}
-
id: 273977009
{'hecke_orbit_code': 184647584755749136, 'n': 10, 'trace_an': 0}
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id: 273977010
{'hecke_orbit_code': 184647584755749136, 'n': 11, 'trace_an': -3}
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id: 273977011
{'hecke_orbit_code': 184647584755749136, 'n': 12, 'trace_an': 0}
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id: 273977012
{'hecke_orbit_code': 184647584755749136, 'n': 13, 'trace_an': 3}
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id: 273977013
{'hecke_orbit_code': 184647584755749136, 'n': 14, 'trace_an': 0}
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id: 273977014
{'hecke_orbit_code': 184647584755749136, 'n': 15, 'trace_an': -3}
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id: 273977015
{'hecke_orbit_code': 184647584755749136, 'n': 16, 'trace_an': 0}
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id: 273977016
{'hecke_orbit_code': 184647584755749136, 'n': 17, 'trace_an': 5}
-
id: 273977017
{'hecke_orbit_code': 184647584755749136, 'n': 18, 'trace_an': 0}
-
id: 273977018
{'hecke_orbit_code': 184647584755749136, 'n': 19, 'trace_an': -1}
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id: 273977019
{'hecke_orbit_code': 184647584755749136, 'n': 20, 'trace_an': 0}
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id: 273977020
{'hecke_orbit_code': 184647584755749136, 'n': 21, 'trace_an': 3}
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id: 273977021
{'hecke_orbit_code': 184647584755749136, 'n': 22, 'trace_an': 0}
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id: 273977022
{'hecke_orbit_code': 184647584755749136, 'n': 23, 'trace_an': -1}
-
id: 273977023
{'hecke_orbit_code': 184647584755749136, 'n': 24, 'trace_an': 0}
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id: 273977024
{'hecke_orbit_code': 184647584755749136, 'n': 25, 'trace_an': 2}
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id: 273977025
{'hecke_orbit_code': 184647584755749136, 'n': 26, 'trace_an': 0}
-
id: 273977026
{'hecke_orbit_code': 184647584755749136, 'n': 27, 'trace_an': -3}
-
id: 273977027
{'hecke_orbit_code': 184647584755749136, 'n': 28, 'trace_an': 0}
-
id: 273977028
{'hecke_orbit_code': 184647584755749136, 'n': 29, 'trace_an': 7}
-
id: 273977029
{'hecke_orbit_code': 184647584755749136, 'n': 30, 'trace_an': 0}
-
id: 273977030
{'hecke_orbit_code': 184647584755749136, 'n': 31, 'trace_an': -4}
-
id: 273977031
{'hecke_orbit_code': 184647584755749136, 'n': 32, 'trace_an': 0}
-
id: 273977032
{'hecke_orbit_code': 184647584755749136, 'n': 33, 'trace_an': 3}
-
id: 273977033
{'hecke_orbit_code': 184647584755749136, 'n': 34, 'trace_an': 0}
-
id: 273977034
{'hecke_orbit_code': 184647584755749136, 'n': 35, 'trace_an': -3}
-
id: 273977035
{'hecke_orbit_code': 184647584755749136, 'n': 36, 'trace_an': 0}
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id: 273977994
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id: 273977995
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id: 273977999
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