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{'Nk2': 32136, 'analytic_conductor': 64.15181298389666, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [13, 1], [103, -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': [8034, 1, [5357, 1237, 5773], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 11, 'field_disc': 7902258303251012936, 'field_disc_factorization': [[2, 3], [1619, 1], [610118769553043, 1]], 'field_poly': [-4, -32, -53, 97, 230, -109, -249, 85, 64, -18, -4, 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, [32, -272, -190, 998, -45, -805, 141, 221, -33, -25, 2, 1]], [7, [-256, -1616, 1240, 4397, -1977, -2192, 566, 417, -58, -34, 2, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580972386, 'hecke_ring_generator_nbound': 11, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8034.2.a.u', 'level': 8034, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 13, 103], 'level_radical': 8034, 'minimal_twist': '8034.2.a.u', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+\\beta _{9}q^{5}-q^{6}-\\beta _{10}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 11, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8034.2.a', 'trace_display': [11, -11, -2, -2], 'trace_hash': 1033384046990195941, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1], [103, -1]], 8, 1], [[[2, 1], [3, 1], [13, -1], [103, -1]], 10, 3], [[[2, -1], [3, 1], [13, 1], [103, -1]], 11, 1], [[[2, 1], [3, -1], [13, -1], [103, 1]], 12, 1], [[[2, 1], [3, 1], [13, -1], [103, 1]], 15, 2], [[[2, -1], [3, 1], [13, -1], [103, -1]], 16, 4], [[[2, -1], [3, -1], [13, -1], [103, 1]], 18, 5], [[[2, 1], [3, -1], [13, -1], [103, -1]], 13, 1], [[[2, -1], [3, 1], [13, -1], [103, 1]], 9, 1], [[[2, 1], [3, -1], [13, 1], [103, 1]], 12, 2], [[[2, -1], [3, -1], [13, 1], [103, 1]], 9, 2], [[[2, 1], [3, -1], [13, 1], [103, -1]], 14, 1], [[[2, 1], [3, 1], [13, 1], [103, -1]], 14, 1], [[[2, -1], [3, -1], [13, 1], [103, -1]], 17, 2], [[[2, 1], [3, 1], [13, 1], [103, 1]], 12, 2], [[[2, -1], [3, 1], [13, 1], [103, 1]], 15, 1]], 'ALdims': [12, 14, 15, 10, 12, 14, 12, 13, 15, 11, 9, 16, 9, 17, 18, 8], 'Nk2': 32136, 'analytic_conductor': 64.15181298389666, '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': [8034, 1, [5357, 1237, 5773], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1449, 'dim': 205, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562466, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 7, 8, 8, 9, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14, 15, 16], 'label': '8034.2.a', 'level': 8034, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 13, 103], 'level_radical': 8034, 'mf_dim': 1464, 'mf_new_dim': 205, 'num_forms': 30, 'plus_dim': 85, 'prim_orbit_index': 1, 'relative_dim': 205, 'sturm_bound': 2912, 'trace_bound': 7, 'trace_display': [1, 1, -10, -8], 'traces': [205, 1, 1, 205, -10, 1, -8, 1, 205, 6, -4, 1, -3, 0, 6, 205, -6, 1, 12, -10, 8, 4, -8, 1, 203, 1, 1, -8, 6, 6, 32, 1, 4, -14, -32, 205, 22, -20, 1, 6, 26, -8, -36, -4, -10, 8, -16, 1, 205, -33, 2, -3, 14, 1, -40, 0, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 9, 'source_hecke_orbit_code': 90071992580972386, 'source_is_minimal': True, 'source_label': '8034.2.a.u.1.9', 'source_level': 8034, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 9, 'target_hecke_orbit_code': 90071992580972386, 'target_is_minimal': True, 'target_label': '8034.2.a.u.1.9', 'target_level': 8034, 'twist_class_label': '8034.2.a.u.1.9', 'twist_class_level': 8034, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4640850
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 90071992580972386, 'p': 2}
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id: 4640851
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 90071992580972386, 'p': 3}
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id: 4640852
{'charpoly_factorization': [[[32, -272, -190, 998, -45, -805, 141, 221, -33, -25, 2, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 5}
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id: 4640853
{'charpoly_factorization': [[[-256, -1616, 1240, 4397, -1977, -2192, 566, 417, -58, -34, 2, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 7}
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id: 4640854
{'charpoly_factorization': [[[-13030, 103624, 105565, -45170, -42139, 6189, 6317, -172, -415, -20, 10, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 11}
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id: 4640855
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 90071992580972386, 'p': 13}
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id: 4640856
{'charpoly_factorization': [[[-5632, 17856, -10022, -13871, 11555, 2041, -3081, 206, 247, -34, -6, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 17}
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id: 4640857
{'charpoly_factorization': [[[704, 168, -5360, 4555, 4489, -5180, -381, 1125, -76, -62, 3, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 19}
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id: 4640858
{'charpoly_factorization': [[[13021480, -5946748, -3292898, 1443285, 325761, -133892, -15573, 5926, 354, -125, -3, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 23}
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id: 4640859
{'charpoly_factorization': [[[200864, 63228, -431244, -41417, 199858, 46746, -26504, -11743, -1187, 90, 22, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 29}
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id: 4640860
{'charpoly_factorization': [[[9523904, -6848350, -1766874, 1878575, 48319, -182086, 6901, 7623, -396, -140, 5, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 31}
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id: 4640861
{'charpoly_factorization': [[[-22305200, -59409734, -49960944, -11935495, 2339890, 1159084, 48450, -26111, -3025, 82, 26, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 37}
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id: 4640862
{'charpoly_factorization': [[[164675840, -266119296, -16780020, 36555840, -575793, -1687731, 62664, 33269, -1168, -297, 6, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 41}
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id: 4640863
{'charpoly_factorization': [[[93337088, -82675104, 5440672, 11260158, -1698627, -597917, 86122, 16328, -1518, -216, 8, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 43}
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id: 4640864
{'charpoly_factorization': [[[-130160, 2189044, 906986, -2767802, 1002175, 74766, -81732, 6875, 1418, -180, -6, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 47}
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id: 4640865
{'charpoly_factorization': [[[48160, 1090428, -2127264, -2625495, 1496183, 984889, 80840, -22568, -3395, 36, 25, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 53}
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id: 4640866
{'charpoly_factorization': [[[279808, 867808, -237072, -1309742, 478071, 100444, -59280, 3576, 1245, -137, -7, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 59}
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id: 4640867
{'charpoly_factorization': [[[-7048960, -15810496, -7762152, 4464862, 3991095, 150265, -395644, -86400, -4922, 256, 36, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 61}
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id: 4640868
{'charpoly_factorization': [[[-325432148, -137725074, 96003998, 22941671, -9300516, -1077089, 292735, 26011, -3422, -287, 12, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 67}
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id: 4640869
{'charpoly_factorization': [[[-137830160, -81110996, 68004974, 22088578, -12012285, -885050, 462983, 29195, -4941, -321, 15, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 71}
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id: 4640870
{'charpoly_factorization': [[[71448320, -261546922, 100879356, 143007911, -37722334, -6124196, 873699, 92359, -5950, -534, 12, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 73}
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id: 4640871
{'charpoly_factorization': [[[17148880, 66923728, 36790336, -3549920, -4580269, -142007, 192375, 11549, -3140, -213, 15, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 79}
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id: 4640872
{'charpoly_factorization': [[[7389723520, 4839904336, 69466568, -480107162, -80486571, 3626930, 1497742, 38933, -8879, -441, 16, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 83}
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id: 4640873
{'charpoly_factorization': [[[887083844, -208572054, -315023446, 62701597, 26366304, -6119200, -290471, 109079, -50, -606, 2, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 89}
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id: 4640874
{'charpoly_factorization': [[[-18389296, -29688228, 39505808, 7543567, -6903716, -902309, 331797, 40695, -3736, -399, 10, 1], 1]], 'hecke_orbit_code': 90071992580972386, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '8034.2.a.u', 'level': 8034, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 250167000
{'hecke_orbit_code': 90071992580972386, 'n': 1, 'trace_an': 11}
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id: 250167001
{'hecke_orbit_code': 90071992580972386, 'n': 2, 'trace_an': 11}
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id: 250167002
{'hecke_orbit_code': 90071992580972386, 'n': 3, 'trace_an': -11}
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id: 250167003
{'hecke_orbit_code': 90071992580972386, 'n': 4, 'trace_an': 11}
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id: 250167004
{'hecke_orbit_code': 90071992580972386, 'n': 5, 'trace_an': -2}
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id: 250167005
{'hecke_orbit_code': 90071992580972386, 'n': 6, 'trace_an': -11}
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id: 250167006
{'hecke_orbit_code': 90071992580972386, 'n': 7, 'trace_an': -2}
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