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{'Nk2': 6292, 'analytic_conductor': 12.560468237947404, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [1573, 1, [365, 1211], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 661518125, 'field_disc_factorization': [[5, 4], [439, 1], [2411, 1]], 'field_poly': [1, 2, -10, -7, 15, 5, -7, -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': [[2, [1, -5, -12, 11, 18, -6, -8, 1, 1]], [7, [-349, -577, 169, 575, 171, -66, -27, 2, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189372453, 'hecke_ring_generator_nbound': 2, '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': '1573.2.a.n', 'level': 1573, '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': [11, 13], 'level_radical': 143, 'minimal_twist': '143.2.h.b', 'nf_label': '8.8.661518125.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{3}q^{2}+(-1+\\beta _{7})q^{3}+(1-\\beta _{1}-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1573.2.a', 'trace_display': [-1, -5, -5, -2], 'trace_hash': 2097548990357447417, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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-
mf_newspaces • Show schema
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{'ALdims': [25, 29, 30, 25], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6], 'ALdims_old': [7, 8, 9, 10], 'Nk2': 6292, 'analytic_conductor': 12.560468237947404, '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': [1573, 1, [365, 1211], [1, 1]], 'conrey_index': 1, 'cusp_dim': 143, 'dim': 109, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556005, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 4, 4, 4, 5, 5, 5, 5, 6, 8, 8, 10, 10, 14, 14], 'label': '1573.2.a', 'level': 1573, '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': [11, 13], 'level_radical': 143, 'mf_dim': 166, 'mf_new_dim': 109, 'num_forms': 19, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 109, 'sturm_bound': 308, 'trace_bound': 6, 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mf_twists_cc • Show schema
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id: 47629294
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189372453, 'source_is_minimal': False, 'source_label': '1573.2.a.n.1.1', 'source_level': 1573, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372453, 'target_is_minimal': False, 'target_label': '1573.2.a.n.1.1', 'target_level': 1573, 'twist_class_label': '143.2.h.b.27.4', 'twist_class_level': 143, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47629295
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189372453, 'source_is_minimal': False, 'source_label': '1573.2.a.n.1.1', 'source_level': 1573, 'target_conrey_index': 27, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262223, 'target_is_minimal': True, 'target_label': '143.2.h.b.27.4', 'target_level': 143, 'twist_class_label': '143.2.h.b.27.4', 'twist_class_level': 143, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47629296
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189372453, 'source_is_minimal': False, 'source_label': '1573.2.a.n.1.1', 'source_level': 1573, 'target_conrey_index': 53, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262223, 'target_is_minimal': True, 'target_label': '143.2.h.b.53.4', 'target_level': 143, 'twist_class_label': '143.2.h.b.27.4', 'twist_class_level': 143, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47629297
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189372453, 'source_is_minimal': False, 'source_label': '1573.2.a.n.1.1', 'source_level': 1573, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 63050394816742949, 'target_is_minimal': False, 'target_label': '1573.2.a.o.1.8', 'target_level': 1573, 'twist_class_label': '143.2.h.b.27.4', 'twist_class_level': 143, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2047200
{'charpoly_factorization': [[[1, -5, -12, 11, 18, -6, -8, 1, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 2}
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id: 2047201
{'charpoly_factorization': [[[-19, -12, 47, 34, -29, -27, 1, 5, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 3}
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id: 2047202
{'charpoly_factorization': [[[-29, -74, 62, 129, -27, -59, -7, 5, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 5}
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id: 2047203
{'charpoly_factorization': [[[-349, -577, 169, 575, 171, -66, -27, 2, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 7}
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id: 2047204
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 58546795189372453, 'p': 11}
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id: 2047205
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 58546795189372453, 'p': 13}
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id: 2047206
{'charpoly_factorization': [[[4631, -12612, 7419, 939, -1849, 421, 14, -13, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 17}
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id: 2047207
{'charpoly_factorization': [[[-221761, -185051, -10384, 19857, 2705, -643, -101, 6, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 19}
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id: 2047208
{'charpoly_factorization': [[[1919, 1789, -2687, -2618, -54, 526, 182, 23, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 23}
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id: 2047209
{'charpoly_factorization': [[[91831, -127687, 29013, 18638, -3507, -1432, -43, 15, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 29}
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id: 2047210
{'charpoly_factorization': [[[-20561, 28396, 50470, 12011, -3337, -1359, -83, 11, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 31}
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id: 2047211
{'charpoly_factorization': [[[-92891, -347193, 75605, 61296, 2593, -1580, -123, 11, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 37}
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id: 2047212
{'charpoly_factorization': [[[-151, 276315, 218562, 50432, -757, -1537, -105, 11, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 41}
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id: 2047213
{'charpoly_factorization': [[[-2179, 3056, 4532, -8168, 2198, 716, -117, -8, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 43}
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id: 2047214
{'charpoly_factorization': [[[-14459, -6397, 13620, 520, -2192, -195, 110, 21, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 47}
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id: 2047215
{'charpoly_factorization': [[[-796049, -761961, -115657, 59140, 11360, -1282, -210, 7, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 53}
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id: 2047216
{'charpoly_factorization': [[[1, -62, 804, 2019, 1826, 811, 189, 22, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 59}
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id: 2047217
{'charpoly_factorization': [[[79889, 19332, -70121, 13307, 5467, -794, -156, 6, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 61}
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id: 2047218
{'charpoly_factorization': [[[-124769, 85089, 58045, -15114, -8160, 113, 283, 31, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 67}
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id: 2047219
{'charpoly_factorization': [[[5958131, 4671332, 1215719, 60885, -23634, -3464, -2, 23, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 71}
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id: 2047220
{'charpoly_factorization': [[[-3084019, -350136, 503501, 33660, -21864, -1788, 262, 34, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 73}
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id: 2047221
{'charpoly_factorization': [[[-2011829, 3378606, -638421, -121565, 23883, 1394, -275, -5, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 79}
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id: 2047222
{'charpoly_factorization': [[[-50709989, -35156883, -2415479, 751009, 64792, -5112, -461, 11, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 83}
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id: 2047223
{'charpoly_factorization': [[[167659, -360215, -8967, 46065, 2075, -1560, -94, 15, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 89}
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id: 2047224
{'charpoly_factorization': [[[-10466041, -3010833, 963202, 399759, 27096, -3247, -352, 6, 1], 1]], 'hecke_orbit_code': 58546795189372453, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '1573.2.a.n', 'level': 1573, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 58293013
{'hecke_orbit_code': 58546795189372453, 'n': 1, 'trace_an': 8}
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id: 58293014
{'hecke_orbit_code': 58546795189372453, 'n': 2, 'trace_an': -1}
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id: 58293015
{'hecke_orbit_code': 58546795189372453, 'n': 3, 'trace_an': -5}
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id: 58293016
{'hecke_orbit_code': 58546795189372453, 'n': 4, 'trace_an': 1}
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id: 58293017
{'hecke_orbit_code': 58546795189372453, 'n': 5, 'trace_an': -5}
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id: 58293018
{'hecke_orbit_code': 58546795189372453, 'n': 6, 'trace_an': -3}
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id: 58293019
{'hecke_orbit_code': 58546795189372453, 'n': 7, 'trace_an': -2}
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id: 58293020
{'hecke_orbit_code': 58546795189372453, 'n': 8, 'trace_an': -3}
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id: 58293021
{'hecke_orbit_code': 58546795189372453, 'n': 9, 'trace_an': -1}
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id: 58293022
{'hecke_orbit_code': 58546795189372453, 'n': 10, 'trace_an': 6}
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id: 58293023
{'hecke_orbit_code': 58546795189372453, 'n': 11, 'trace_an': 0}
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id: 58293024
{'hecke_orbit_code': 58546795189372453, 'n': 12, 'trace_an': -7}
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id: 58293025
{'hecke_orbit_code': 58546795189372453, 'n': 13, 'trace_an': 8}
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id: 58293026
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