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mf_newforms • Show schema
Hide schema
{'Nk2': 62920, 'analytic_conductor': 125.60468237947404, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [11, -1], [13, 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': [15730, 1, [3147, 3511, 1211], [12, 12, 12]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': -1, 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934645618, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '15730.2.a.l', 'level': 15730, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11, 13], 'level_radical': 1430, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/15730/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '15730.2.a', 'trace_display': [-1, 0, 1, 0], 'traces': [1, -1, 0, 1, 1, 0, 0, -1, -3, -1, 0, 0, -1, 0, 0, 1, -2, 3, 8, 1, 0, 0, -4, 0, 1, 1, 0, 0, 2, 0, -4, -1, 0, 2, 0, -3, 6, -8, 0, -1, -10, 0, 0, 0, -3, 4, 8, 0, -7, -1, 0, -1, 6, 0, 0, 0, 0, -2, 8, 0, 2, 4, 0, 1, -1, 0, 4, -2, 0, 0, -12, 3, -10, -6, 0, 8, 0, 0, 8, 1, 9, 10, -12, 0, -2, 0, 0, 0, 10, 3, 0, -4, 0, -8, 8, 0, -14, 7, 0, 1], 'weight': 2, 'weight_parity': 1}
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label 15730.2.a.l does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [24, 25, 30, 30, 26, 29, 30, 25, 29, 24, 25, 30, 25, 34, 30, 20], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [136, 152, 150, 134, 145, 142, 141, 144, 145, 144, 141, 144, 149, 128, 137, 157], 'Nk2': 62920, 'analytic_conductor': 125.60468237947404, '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': [15730, 1, [3147, 3511, 1211], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2725, 'dim': 436, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33570162, '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, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 14, 14, 14, 14, 16, 16], 'label': '15730.2.a', 'level': 15730, '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, 5, 11, 13], 'level_radical': 1430, 'mf_dim': 2820, 'mf_new_dim': 436, 'num_forms': 97, 'plus_dim': 207, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 5544, 'trace_display': [-2, -4, 2, 0], 'traces': [436, -2, -4, 436, 2, 0, 0, -2, 436, 0, 0, -4, -2, 0, 0, 436, 0, -10, -4, 2, -16, 0, -16, 0, 436, 0, -40, 0, 16, 4, -8, -2, 0, -28, 8, 436, -20, 0, 0, 0, 0, -16, -20, 0, 10, 20, 0, -4, 412, -2, -24, -2, 28, 0, 0, 0, -24, -28, -36, 0, -24, 12, -32, 436, -4, 0, 0, 0, -48, 16, 64, -10, -20, -8, -4, -4, 0, 4, 0, 2, 492, -52, 16, -16, 4, 8, -24, 0, -56, -8, -8, -16, 32, 32, 8, 0, -4, -18, 0, 436, 8, -16, -8, 0, -32, 24, -4, -40, 28, 0, -48, 0, -16, -80, -12, 16, -10, 8, -80, 4, 0, 28, 40, -8, 2, 16, 0, -2, -56, 2, 56, 0, -96, -32, 0, -28, 36, 56, 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-96, -48, 32, -216, 432, -80, -2, 240, 48, -24, 0, 192, -8, -80, -16, 500, 64, 24, -88, 2, 112, 0, 28, -120, -28, -72, -112, -140, 0, -72, 72, 56, 0, -208, -24, 416, -124, -320, 0, -16, 44, -36, -128, 0, -40, 64, 32, 76, -232, 8, 48, -44, -256, 96, 0, -208, 70, -148, -12, -64, -88, 208, 72, -288, 8, 0, -32, 192, 456, -40, 0, -72, -12, -336, 436, -232, 0, -160, -28, 4, 8, -284, -56, 360, -8, -64, -24, 0, 40, -112, -108, -320, 184, -128, 8, -32, 0, 4, 0, -20, 40, -264, -28, 264, 32, -276, 0, -272, -168, 0, -8, 72, -80, -328, -24, 132, 232, -32, -36, 32, 0, -8, 32, -32, 0, -144, 0, 72, 184, -32, 104, 0, -100, -80, 0, 308, 44, 12, 0, 56, 224, -160, 0, -24, 44, -16, 316, -224, -40, 0, -24, 244, 240, 0, 18, 300, -144, -480, 392, -72, 152, 192, 8, 0, 0, -272, 12, 528, -128, 16, 64, -300, 216, -224, 0], 'weight': 2, 'weight_parity': 1}
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source_label 15730.2.a.l does not appear in mf_twists_nf
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hecke_orbit_code 49539595934645618 does not appear in mf_hecke_charpolys
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label 15730.2.a.l does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 146064942
{'hecke_orbit_code': 49539595934645618, 'n': 1, 'trace_an': 1}
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id: 146064943
{'hecke_orbit_code': 49539595934645618, 'n': 2, 'trace_an': -1}
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id: 146064944
{'hecke_orbit_code': 49539595934645618, 'n': 3, 'trace_an': 0}
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id: 146064945
{'hecke_orbit_code': 49539595934645618, 'n': 4, 'trace_an': 1}
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id: 146064946
{'hecke_orbit_code': 49539595934645618, 'n': 5, 'trace_an': 1}
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id: 146064947
{'hecke_orbit_code': 49539595934645618, 'n': 6, 'trace_an': 0}
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id: 146064948
{'hecke_orbit_code': 49539595934645618, 'n': 7, 'trace_an': 0}
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id: 146064949
{'hecke_orbit_code': 49539595934645618, 'n': 8, 'trace_an': -1}
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id: 146064950
{'hecke_orbit_code': 49539595934645618, 'n': 9, 'trace_an': -3}
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id: 146064951
{'hecke_orbit_code': 49539595934645618, 'n': 10, 'trace_an': -1}
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id: 146064952
{'hecke_orbit_code': 49539595934645618, 'n': 11, 'trace_an': 0}
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id: 146064953
{'hecke_orbit_code': 49539595934645618, 'n': 12, 'trace_an': 0}
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id: 146064954
{'hecke_orbit_code': 49539595934645618, 'n': 13, 'trace_an': -1}
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id: 146064955
{'hecke_orbit_code': 49539595934645618, 'n': 14, 'trace_an': 0}
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id: 146064956
{'hecke_orbit_code': 49539595934645618, 'n': 15, 'trace_an': 0}
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id: 146064957
{'hecke_orbit_code': 49539595934645618, 'n': 16, 'trace_an': 1}
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id: 146064958
{'hecke_orbit_code': 49539595934645618, 'n': 17, 'trace_an': -2}
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id: 146064959
{'hecke_orbit_code': 49539595934645618, 'n': 18, 'trace_an': 3}
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id: 146064960
{'hecke_orbit_code': 49539595934645618, 'n': 19, 'trace_an': 8}
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id: 146064961
{'hecke_orbit_code': 49539595934645618, 'n': 20, 'trace_an': 1}
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id: 146064962
{'hecke_orbit_code': 49539595934645618, 'n': 21, 'trace_an': 0}
-
id: 146064963
{'hecke_orbit_code': 49539595934645618, 'n': 22, 'trace_an': 0}
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id: 146064964
{'hecke_orbit_code': 49539595934645618, 'n': 23, 'trace_an': -4}
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id: 146064965
{'hecke_orbit_code': 49539595934645618, 'n': 24, 'trace_an': 0}
-
id: 146064966
{'hecke_orbit_code': 49539595934645618, 'n': 25, 'trace_an': 1}
-
id: 146064967
{'hecke_orbit_code': 49539595934645618, 'n': 26, 'trace_an': 1}
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id: 146064968
{'hecke_orbit_code': 49539595934645618, 'n': 27, 'trace_an': 0}
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id: 146064969
{'hecke_orbit_code': 49539595934645618, 'n': 28, 'trace_an': 0}
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id: 146064970
{'hecke_orbit_code': 49539595934645618, 'n': 29, 'trace_an': 2}
-
id: 146064971
{'hecke_orbit_code': 49539595934645618, 'n': 30, 'trace_an': 0}
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id: 146064972
{'hecke_orbit_code': 49539595934645618, 'n': 31, 'trace_an': -4}
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id: 146064973
{'hecke_orbit_code': 49539595934645618, 'n': 32, 'trace_an': -1}
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id: 146064974
{'hecke_orbit_code': 49539595934645618, 'n': 33, 'trace_an': 0}
-
id: 146064975
{'hecke_orbit_code': 49539595934645618, 'n': 34, 'trace_an': 2}
-
id: 146064976
{'hecke_orbit_code': 49539595934645618, 'n': 35, 'trace_an': 0}
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id: 146064977
{'hecke_orbit_code': 49539595934645618, 'n': 36, 'trace_an': -3}
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id: 146064978
{'hecke_orbit_code': 49539595934645618, 'n': 37, 'trace_an': 6}
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id: 146064979
{'hecke_orbit_code': 49539595934645618, 'n': 38, 'trace_an': -8}
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id: 146064980
{'hecke_orbit_code': 49539595934645618, 'n': 39, 'trace_an': 0}
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id: 146064981
{'hecke_orbit_code': 49539595934645618, 'n': 40, 'trace_an': -1}
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id: 146064982
{'hecke_orbit_code': 49539595934645618, 'n': 41, 'trace_an': -10}
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id: 146064983
{'hecke_orbit_code': 49539595934645618, 'n': 42, 'trace_an': 0}
-
id: 146064984
{'hecke_orbit_code': 49539595934645618, 'n': 43, 'trace_an': 0}
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id: 146064985
{'hecke_orbit_code': 49539595934645618, 'n': 44, 'trace_an': 0}
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id: 146064986
{'hecke_orbit_code': 49539595934645618, 'n': 45, 'trace_an': -3}
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id: 146064987
{'hecke_orbit_code': 49539595934645618, 'n': 46, 'trace_an': 4}
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id: 146064988
{'hecke_orbit_code': 49539595934645618, 'n': 47, 'trace_an': 8}
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id: 146064989
{'hecke_orbit_code': 49539595934645618, 'n': 48, 'trace_an': 0}
-
id: 146064990
{'hecke_orbit_code': 49539595934645618, 'n': 49, 'trace_an': -7}
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id: 146064991
{'hecke_orbit_code': 49539595934645618, 'n': 50, 'trace_an': -1}
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id: 146064992
{'hecke_orbit_code': 49539595934645618, 'n': 51, 'trace_an': 0}
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id: 146064993
{'hecke_orbit_code': 49539595934645618, 'n': 52, 'trace_an': -1}
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id: 146064994
{'hecke_orbit_code': 49539595934645618, 'n': 53, 'trace_an': 6}
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id: 146064995
{'hecke_orbit_code': 49539595934645618, 'n': 54, 'trace_an': 0}
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id: 146064996
{'hecke_orbit_code': 49539595934645618, 'n': 55, 'trace_an': 0}
-
id: 146064997
{'hecke_orbit_code': 49539595934645618, 'n': 56, 'trace_an': 0}
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id: 146064998
{'hecke_orbit_code': 49539595934645618, 'n': 57, 'trace_an': 0}
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id: 146064999
{'hecke_orbit_code': 49539595934645618, 'n': 58, 'trace_an': -2}
-
id: 146065000
{'hecke_orbit_code': 49539595934645618, 'n': 59, 'trace_an': 8}
-
id: 146065001
{'hecke_orbit_code': 49539595934645618, 'n': 60, 'trace_an': 0}
-
id: 146065002
{'hecke_orbit_code': 49539595934645618, 'n': 61, 'trace_an': 2}
-
id: 146065003
{'hecke_orbit_code': 49539595934645618, 'n': 62, 'trace_an': 4}
-
id: 146065004
{'hecke_orbit_code': 49539595934645618, 'n': 63, 'trace_an': 0}
-
id: 146065005
{'hecke_orbit_code': 49539595934645618, 'n': 64, 'trace_an': 1}
-
id: 146065006
{'hecke_orbit_code': 49539595934645618, 'n': 65, 'trace_an': -1}
-
id: 146065007
{'hecke_orbit_code': 49539595934645618, 'n': 66, 'trace_an': 0}
-
id: 146065008
{'hecke_orbit_code': 49539595934645618, 'n': 67, 'trace_an': 4}
-
id: 146065009
{'hecke_orbit_code': 49539595934645618, 'n': 68, 'trace_an': -2}
-
id: 146065010
{'hecke_orbit_code': 49539595934645618, 'n': 69, 'trace_an': 0}
-
id: 146065011
{'hecke_orbit_code': 49539595934645618, 'n': 70, 'trace_an': 0}
-
id: 146065012
{'hecke_orbit_code': 49539595934645618, 'n': 71, 'trace_an': -12}
-
id: 146065013
{'hecke_orbit_code': 49539595934645618, 'n': 72, 'trace_an': 3}
-
id: 146065014
{'hecke_orbit_code': 49539595934645618, 'n': 73, 'trace_an': -10}
-
id: 146065015
{'hecke_orbit_code': 49539595934645618, 'n': 74, 'trace_an': -6}
-
id: 146065016
{'hecke_orbit_code': 49539595934645618, 'n': 75, 'trace_an': 0}
-
id: 146065017
{'hecke_orbit_code': 49539595934645618, 'n': 76, 'trace_an': 8}
-
id: 146065018
{'hecke_orbit_code': 49539595934645618, 'n': 77, 'trace_an': 0}
-
id: 146065019
{'hecke_orbit_code': 49539595934645618, 'n': 78, 'trace_an': 0}
-
id: 146065020
{'hecke_orbit_code': 49539595934645618, 'n': 79, 'trace_an': 8}
-
id: 146065021
{'hecke_orbit_code': 49539595934645618, 'n': 80, 'trace_an': 1}
-
id: 146065022
{'hecke_orbit_code': 49539595934645618, 'n': 81, 'trace_an': 9}
-
id: 146065023
{'hecke_orbit_code': 49539595934645618, 'n': 82, 'trace_an': 10}
-
id: 146065024
{'hecke_orbit_code': 49539595934645618, 'n': 83, 'trace_an': -12}
-
id: 146065025
{'hecke_orbit_code': 49539595934645618, 'n': 84, 'trace_an': 0}
-
id: 146065026
{'hecke_orbit_code': 49539595934645618, 'n': 85, 'trace_an': -2}
-
id: 146065027
{'hecke_orbit_code': 49539595934645618, 'n': 86, 'trace_an': 0}
-
id: 146065028
{'hecke_orbit_code': 49539595934645618, 'n': 87, 'trace_an': 0}
-
id: 146065029
{'hecke_orbit_code': 49539595934645618, 'n': 88, 'trace_an': 0}
-
id: 146065030
{'hecke_orbit_code': 49539595934645618, 'n': 89, 'trace_an': 10}
-
id: 146065031
{'hecke_orbit_code': 49539595934645618, 'n': 90, 'trace_an': 3}
-
id: 146065032
{'hecke_orbit_code': 49539595934645618, 'n': 91, 'trace_an': 0}
-
id: 146065033
{'hecke_orbit_code': 49539595934645618, 'n': 92, 'trace_an': -4}
-
id: 146065034
{'hecke_orbit_code': 49539595934645618, 'n': 93, 'trace_an': 0}
-
id: 146065035
{'hecke_orbit_code': 49539595934645618, 'n': 94, 'trace_an': -8}
-
id: 146065036
{'hecke_orbit_code': 49539595934645618, 'n': 95, 'trace_an': 8}
-
id: 146065037
{'hecke_orbit_code': 49539595934645618, 'n': 96, 'trace_an': 0}
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id: 146065038
{'hecke_orbit_code': 49539595934645618, 'n': 97, 'trace_an': -14}
-
id: 146065039
{'hecke_orbit_code': 49539595934645618, 'n': 98, 'trace_an': 7}
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id: 146065040
{'hecke_orbit_code': 49539595934645618, 'n': 99, 'trace_an': 0}
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id: 146065041
{'hecke_orbit_code': 49539595934645618, 'n': 100, 'trace_an': 1}