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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [11, -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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 14336, 'field_disc_factorization': [[2, 11], [7, 1]], 'field_poly': [14, 0, -8, 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': [[5, [56, 0, -16, 0, 1]], [13, [164, -32, -36, 0, 1]], [17, [-8, -32, -32, 0, 1]], [19, [-4, 80, -36, 0, 1]], [23, [-1168, 608, -56, -8, 1]], [29, [-8, 0, 1]]], 'hecke_orbit': 107, 'hecke_orbit_code': 477381560534836710, 'hecke_ring_generator_nbound': 13, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9702.2.a.ec', 'level': 9702, '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, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '3234.2.a.bj', 'nf_label': '4.4.14336.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+\\beta _{2}q^{5}+q^{8}+\\beta _{2}q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [4, 0, 0, 0], 'trace_hash': 1560440389598281816, 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mf_hecke_nf • Show schema
Hide schema
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-3, 8, -18], [16, 1, -6, 27], [-24, 17, -12, -34]], 'char_orbit_index': 1, 'field_poly': [14, 0, -8, 0, 1], 'hecke_orbit_code': 477381560534836710, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [4, 0, 0, 1], [0, 2, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, 0], [0, -4, 0, 1], [-4, 0, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '9702.2.a.ec', 'level': 9702, 'maxp': 4027, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, '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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, '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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, '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, 3, 7, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 0, -1, 0, -2, 1, 0, -2, 0, 0, 169, -18, 0, -12, -2, 0, -1, -4, 0, 159, -14, 0, 0, 2, 0, -8, -1, 0, -6, 0, 0, 30, -4, 0, -2, 6, 0, 52, 1, 0, 0, 4, 0, 0, -39, 0, -2, -38, 0, -6, 0, 0, -50, 16, 0, -2, -8, 0, 169, -52, 0, 44, -18, 0, 0, -20, 0, 10, -46, 0, -12, 0, 0, 80, -2, 0, -14, -20, 0, -76, 8, 0, -1, -6, 0, 0, -4, 0, 8, 32, 0, -46, 0, 0, 159, 34, 0, 0, -14, 0, -2, -60, 0, 62, -6, 0, 0, -6, 0, -32, 2, 0, 20, 0, 0, 169, 26, 0, -8, -108, 0, 48, -1, 0, -20, 20, 0, 0, 4, 0, -6, 50, 0, 36, 0, 0, 56, 10, 0, 68, -10, 0, 30, 2, 0, 112, -4, 0, 0, 112, 0, 10, -8, 0, -2, 0, 0, 140, 6, 0, 48, 48, 0, 239, -36, 0, 52, -14, 0, 0, 1, 0, 10, 84, 0, 26, 0, 0, 0, 4, 0, 2, 4, 0, 32, 164, 0, 66, -34, 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-194, 56, 0, 10, 160, 0, 60, 84, 0, 8, 44, 0, 0, 227, 0, 26, 334, 0, 40, 0, 0, -156, 16, 0, -122, -72, 0, 0, 60, 0, -100, 4, 0, 0, 616, 0, -172, -10, 0, 2, 0, 0, -192, 4, 0, -172, 232, 0, 6, -132, 0, 32, -26, 0, 0, 164, 0, -120, 200, 0, -158, 0, 0, 66, -90, 0, -8, -34, 0, -138, 344, 0, 0, -24, 0, 0, 4, 0, 172, 42, 0, -16, 0, 0, -92, -118, 0, 24, -74, 0, -144, -39, 0, 106, 14, 0, 0, -152, 0, -6, -226, 0, -172, 0, 0, 26, 40, 0, 168, -106, 0, 68, -278, 0, -448, 32, 0, 0, -292, 0, -46, 424, 0, -2, 0, 0, 120, -20, 0, -28, -28, 0, -1, 154, 0, 124, -86, 0, 0, -38, 0, -90, -224, 0, 190, 0, 0, 20, -34, 0, -32, 88, 0, -120, 92, 0, -340, 30, 0, 0, 0, 0, 104, -26, 0, -120, 0, 0, -74, 56, 0, -6, -182, 0, -268, 28, 0, 44, -32, 0, 0, -92, 0, -8, -184, 0, 200, 0, 0, -110, -176, 0, -180, -26, 0, -14, 404, 0, 228, 12, 0, 0, 20, 0, -16, 30, 0, 18, 0, 0, 352, 96, 0, 114, 160, 0, 154, -160, 0, -50, 26, 0, 0, -26, 0, 52, -36, 0, -86, 0, 0, 64, -190, 0, -160, 16, 0, -44, 268, 0, 308, 44, 0, 0, -146, 0, 168, -8, 0, -40, 0, 0, 233, -212, 0, 66, 36, 0, 304, -1, 0, -204, 32, 0, 0, 64, 0, -2, -86, 0, 54, 0, 0, 12, 12, 0, 20, 20, 0, 224, -8, 0, 408, -8, 0, 0, 360, 0, 54, -44, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1444309
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 107, 'source_is_minimal': False, 'source_label': '9702.2.a.ec', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 36, 'target_is_minimal': True, 'target_label': '3234.2.a.bj', 'target_level': 3234, 'twist_class_label': '3234.2.a.bj', 'twist_class_level': 3234, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1444310
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 107, 'source_is_minimal': False, 'source_label': '9702.2.a.ec', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 37, 'target_is_minimal': True, 'target_label': '3234.2.a.bk', 'target_level': 3234, 'twist_class_label': '3234.2.a.bj', 'twist_class_level': 3234, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444311
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 107, 'source_is_minimal': False, 'source_label': '9702.2.a.ec', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 106, 'target_is_minimal': False, 'target_label': '9702.2.a.eb', 'target_level': 9702, 'twist_class_label': '3234.2.a.bj', 'twist_class_level': 3234, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444312
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 107, 'source_is_minimal': False, 'source_label': '9702.2.a.ec', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 107, 'target_is_minimal': False, 'target_label': '9702.2.a.ec', 'target_level': 9702, 'twist_class_label': '3234.2.a.bj', 'twist_class_level': 3234, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5102125
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 477381560534836710, 'p': 2}
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id: 5102126
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 477381560534836710, 'p': 3}
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id: 5102127
{'charpoly_factorization': [[[56, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 5}
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id: 5102128
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 477381560534836710, 'p': 7}
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id: 5102129
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 477381560534836710, 'p': 11}
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id: 5102130
{'charpoly_factorization': [[[164, -32, -36, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 13}
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id: 5102131
{'charpoly_factorization': [[[-8, -32, -32, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 17}
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id: 5102132
{'charpoly_factorization': [[[-4, 80, -36, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 19}
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id: 5102133
{'charpoly_factorization': [[[-1168, 608, -56, -8, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 23}
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id: 5102134
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 477381560534836710, 'p': 29}
-
id: 5102135
{'charpoly_factorization': [[[-100, -80, 76, -16, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 31}
-
id: 5102136
{'charpoly_factorization': [[[-400, 480, -72, -8, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 37}
-
id: 5102137
{'charpoly_factorization': [[[-8, 32, -32, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 41}
-
id: 5102138
{'charpoly_factorization': [[[-1168, 608, -56, -8, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 43}
-
id: 5102139
{'charpoly_factorization': [[[-4, 48, 60, 16, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 47}
-
id: 5102140
{'charpoly_factorization': [[[112, -224, -72, 8, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 53}
-
id: 5102141
{'charpoly_factorization': [[[56, 16, 1], 2]], 'hecke_orbit_code': 477381560534836710, 'p': 59}
-
id: 5102142
{'charpoly_factorization': [[[-284, 64, 60, -16, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 61}
-
id: 5102143
{'charpoly_factorization': [[[3872, 2112, -144, -16, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 67}
-
id: 5102144
{'charpoly_factorization': [[[2624, 256, -144, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 71}
-
id: 5102145
{'charpoly_factorization': [[[184, -448, -176, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 73}
-
id: 5102146
{'charpoly_factorization': [[[-224, 1344, -80, -16, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 79}
-
id: 5102147
{'charpoly_factorization': [[[92, 48, -52, 0, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 83}
-
id: 5102148
{'charpoly_factorization': [[[12004, -2368, -196, 16, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 89}
-
id: 5102149
{'charpoly_factorization': [[[1988, -672, -36, 16, 1], 1]], 'hecke_orbit_code': 477381560534836710, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 107, 'label': '9702.2.a.ec', 'level': 9702, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72546739
{'hecke_orbit_code': 477381560534836710, 'n': 1, 'trace_an': 4}
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id: 72546740
{'hecke_orbit_code': 477381560534836710, 'n': 2, 'trace_an': 4}
-
id: 72546741
{'hecke_orbit_code': 477381560534836710, 'n': 3, 'trace_an': 0}
-
id: 72546742
{'hecke_orbit_code': 477381560534836710, 'n': 4, 'trace_an': 4}
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id: 72546743
{'hecke_orbit_code': 477381560534836710, 'n': 5, 'trace_an': 0}
-
id: 72546744
{'hecke_orbit_code': 477381560534836710, 'n': 6, 'trace_an': 0}
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id: 72546745
{'hecke_orbit_code': 477381560534836710, 'n': 7, 'trace_an': 0}
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id: 72546746
{'hecke_orbit_code': 477381560534836710, 'n': 8, 'trace_an': 4}
-
id: 72546747
{'hecke_orbit_code': 477381560534836710, 'n': 9, 'trace_an': 0}
-
id: 72546748
{'hecke_orbit_code': 477381560534836710, 'n': 10, 'trace_an': 0}
-
id: 72546749
{'hecke_orbit_code': 477381560534836710, 'n': 11, 'trace_an': 4}
-
id: 72546750
{'hecke_orbit_code': 477381560534836710, 'n': 12, 'trace_an': 0}
-
id: 72546751
{'hecke_orbit_code': 477381560534836710, 'n': 13, 'trace_an': 0}
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id: 72546752
{'hecke_orbit_code': 477381560534836710, 'n': 14, 'trace_an': 0}
-
id: 72546753
{'hecke_orbit_code': 477381560534836710, 'n': 15, 'trace_an': 0}
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id: 72546754
{'hecke_orbit_code': 477381560534836710, 'n': 16, 'trace_an': 4}
-
id: 72546755
{'hecke_orbit_code': 477381560534836710, 'n': 17, 'trace_an': 0}
-
id: 72546756
{'hecke_orbit_code': 477381560534836710, 'n': 18, 'trace_an': 0}
-
id: 72546757
{'hecke_orbit_code': 477381560534836710, 'n': 19, 'trace_an': 0}
-
id: 72546758
{'hecke_orbit_code': 477381560534836710, 'n': 20, 'trace_an': 0}
-
id: 72546759
{'hecke_orbit_code': 477381560534836710, 'n': 21, 'trace_an': 0}
-
id: 72546760
{'hecke_orbit_code': 477381560534836710, 'n': 22, 'trace_an': 4}
-
id: 72546761
{'hecke_orbit_code': 477381560534836710, 'n': 23, 'trace_an': 8}
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id: 72546762
{'hecke_orbit_code': 477381560534836710, 'n': 24, 'trace_an': 0}
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