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{'Nk2': 33880, 'analytic_conductor': 67.63329051202449, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -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': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, 1]], [13, [-11, -2, 1]], [17, [4, 8, 1]], [19, [-47, 2, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147346710, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8470.2.a.bw', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '8470.2.a.bi', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8470.2.a', 'trace_display': [2, -2, 2, 2], 'trace_hash': 2168554736239060496, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.959', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.780', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '68.333', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, 'traces': [2, 2, -2, 2, 2, -2, 2, 2, -4, 2, 0, -2, 2, 2, -2, 2, -8, -4, -2, 2, -2, 0, -2, -2, 2, 2, 10, 2, 0, -2, -8, 2, 0, -8, 2, -4, -4, -2, -2, 2, 4, -2, -4, 0, -4, -2, -8, -2, 2, 2, 8, 2, -8, 10, 0, 2, 2, 0, 6, -2, -4, -8, -4, 2, 2, 0, -8, -8, 2, 2, 16, -4, -8, -4, -2, -2, 0, -2, -22, 2, 2, 4, -2, -2, -8, -4, 0, 0, -28, -4, 2, -2, 8, -8, -2, -2, -16, 2, 0, 2, -30, 8, 4, 2, -2, -8, -12, 10, 16, 0, 4, 2, 2, 2, -2, 0, -4, 6, -8, -2, 0, -4, -4, -8, 2, -4, 6, 2, 4, 2, 6, 0, -2, -8, 10, -8, 2, 2, 6, 2, 8, 16, 0, -4, 0, -8, -2, -4, -20, -2, -18, -2, 16, 0, -8, -2, -6, -22, 8, 2, -2, 2, -44, 4, 0, -2, 12, -2, 0, -8, 4, -4, 36, 0, 2, 0, -6, -28, 4, -4, 14, 2, 4, -2, -4, 8, 0, -8, 10, -2, -14, -2, 38, -16, -2, 2, 8, 0, -24, 2, 8, -30, 0, 8, 4, 4, 4, 2, 0, -2, -48, -8, -16, -12, -4, 10, 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [11, -1]], 10, 6], [[[2, 1], [5, -1], [7, 1], [11, 1]], 13, 3], [[[2, -1], [5, 1], [7, 1], [11, 1]], 17, 4], [[[2, -1], [5, -1], [7, 1], [11, 1]], 12, 3], [[[2, 1], [5, -1], [7, -1], [11, -1]], 15, 6], [[[2, 1], [5, 1], [7, -1], [11, -1]], 15, 6], [[[2, -1], [5, 1], [7, 1], [11, -1]], 10, 7], [[[2, -1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, -1], [5, -1], [7, -1], [11, 1]], 17, 4], [[[2, 1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, 1]], 12, 6], [[[2, -1], [5, 1], [7, -1], [11, -1]], 15, 7], [[[2, -1], [5, 1], [7, -1], [11, 1]], 12, 5], [[[2, 1], [5, 1], [7, -1], [11, 1]], 13, 5], [[[2, 1], [5, -1], [7, -1], [11, 1]], 12, 3]], 'ALdims': [12, 15, 13, 15, 13, 15, 12, 15, 17, 10, 12, 15, 12, 15, 17, 10], 'Nk2': 33880, 'analytic_conductor': 67.63329051202449, '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': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1537, 'dim': 218, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19], 'hecke_orbit_code': 33562902, '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, 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, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '8470.2.a', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'mf_dim': 1632, 'mf_new_dim': 218, 'num_forms': 86, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 3168, 'trace_bound': 13, 'trace_display': [-2, -4, 0, 0], 'traces': [218, -2, -4, 218, 0, -4, 0, -2, 210, 0, 0, -4, -8, 0, -4, 218, -4, -10, -4, 0, 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-232, 24, 32, -260, -232, -176, 0, -1088, 40, 80, -12, -636, 506, 208, 164, -88, -8, 0, -288, 116, 32, 120, 40, 512, 72, -224, 48, 176, 0, -176, -112, -148, 556, 344, 120, 96, 168, -792, 232, 0, -52, 488, -4, -80, 40, 56, 148, 272, 868, 104, 0, -512, -48, 604, 304, -384, 0, 16, -4, -476, 64, 0, -160, 96, -40, -92, -184, -96, 100, 120, -40, -64, 0, 544, 60, -224, -300, 576, -40, 172, 16, -1024, -4, 0, -696, 76, -104, -336, 152, 96, 56, -116, 112, -496, 0, 0, -360, -904, -160, 256, 24, 16, -16, -672, 80, 0, 218, 508, -304, 616, 28, -136, -100, -64, -176, 112, 0, -744, -188, 224, -16, -192, -20, -80, 256, -232, 0, 0, 224, -264, -88, -584, -192, 84, -32, 144, -512, 392, 0, -236], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1393358
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 49, 'source_is_minimal': True, 'source_label': '8470.2.a.bw', 'source_level': 8470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': True, 'target_label': '8470.2.a.bi', 'target_level': 8470, 'twist_class_label': '8470.2.a.bi', 'twist_class_level': 8470, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393359
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 49, 'source_is_minimal': True, 'source_label': '8470.2.a.bw', 'source_level': 8470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': True, 'target_label': '8470.2.a.bw', 'target_level': 8470, 'twist_class_label': '8470.2.a.bi', 'twist_class_level': 8470, '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: 4764150
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 216172782147346710, 'p': 2}
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id: 4764151
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 216172782147346710, 'p': 3}
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id: 4764152
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 216172782147346710, 'p': 5}
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id: 4764153
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 216172782147346710, 'p': 7}
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id: 4764154
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 216172782147346710, 'p': 11}
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id: 4764155
{'charpoly_factorization': [[[-11, -2, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 13}
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id: 4764156
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 17}
-
id: 4764157
{'charpoly_factorization': [[[-47, 2, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 19}
-
id: 4764158
{'charpoly_factorization': [[[-11, 2, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 23}
-
id: 4764159
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 29}
-
id: 4764160
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 31}
-
id: 4764161
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 37}
-
id: 4764162
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 41}
-
id: 4764163
{'charpoly_factorization': [[[-104, 4, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 43}
-
id: 4764164
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 47}
-
id: 4764165
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 53}
-
id: 4764166
{'charpoly_factorization': [[[-39, -6, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 59}
-
id: 4764167
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 61}
-
id: 4764168
{'charpoly_factorization': [[[-92, 8, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 67}
-
id: 4764169
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 216172782147346710, 'p': 71}
-
id: 4764170
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 73}
-
id: 4764171
{'charpoly_factorization': [[[109, 22, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 79}
-
id: 4764172
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 216172782147346710, 'p': 83}
-
id: 4764173
{'charpoly_factorization': [[[184, 28, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 89}
-
id: 4764174
{'charpoly_factorization': [[[16, 16, 1], 1]], 'hecke_orbit_code': 216172782147346710, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '8470.2.a.bw', 'level': 8470, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 277018000
{'hecke_orbit_code': 216172782147346710, 'n': 1, 'trace_an': 2}
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id: 277018001
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id: 277018979
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id: 277018980
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id: 277018981
{'hecke_orbit_code': 216172782147346710, 'n': 982, 'trace_an': 40}
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id: 277018982
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id: 277018983
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id: 277018984
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id: 277018985
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id: 277018986
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id: 277018988
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id: 277018990
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id: 277018991
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id: 277018992
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id: 277018993
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id: 277018994
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id: 277018995
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id: 277018996
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id: 277018997
{'hecke_orbit_code': 216172782147346710, 'n': 998, 'trace_an': -4}
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id: 277018998
{'hecke_orbit_code': 216172782147346710, 'n': 999, 'trace_an': -20}
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id: 277018999
{'hecke_orbit_code': 216172782147346710, 'n': 1000, 'trace_an': 2}