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{'Nk2': 8052, 'analytic_conductor': 16.07388592688374, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [11, -1], [61, 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': [2013, 1, [1343, 1465, 1222], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 13, 'field_disc': 73579977415873790221964, 'field_disc_factorization': [[2, 2], [887, 1], [668803, 1], [31008290675431, 1]], 'field_poly': [-47, 236, 366, -742, -760, 841, 610, -469, -220, 136, 35, -19, -2, 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, [-47, 236, 366, -742, -760, 841, 610, -469, -220, 136, 35, -19, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543038429, 'hecke_ring_generator_nbound': 5, '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': '2013.2.a.e', 'level': 2013, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 11, 61], 'level_radical': 2013, 'minimal_twist': '2013.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-\\beta _{8}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 13, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2013.2.a', 'trace_display': [2, -13, 3, 11], 'trace_hash': 618606301312289614, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'embedding_root_imag': 0.0, 'embedding_root_real': 1.500674626590408, 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543038429, 'label': '2013.2.a.e.1.9', 'level': 2013, 'weight': 2}
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{'AL_dims': [[[[3, 1], [11, -1], [61, 1]], 13, 1], [[[3, -1], [11, -1], [61, -1]], 13, 1], [[[3, 1], [11, 1], [61, 1]], 12, 1], [[[3, -1], [11, 1], [61, 1]], 13, 1], [[[3, -1], [11, 1], [61, -1]], 11, 1], [[[3, 1], [11, 1], [61, -1]], 14, 1], [[[3, 1], [11, -1], [61, -1]], 11, 1], [[[3, -1], [11, -1], [61, 1]], 12, 1]], 'ALdims': [12, 14, 13, 11, 13, 11, 12, 13], 'Nk2': 8052, 'analytic_conductor': 16.07388592688374, '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': [2013, 1, [1343, 1465, 1222], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 245, 'dim': 99, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33556445, 'hecke_orbit_dims': [11, 11, 12, 12, 13, 13, 13, 14], 'label': '2013.2.a', 'level': 2013, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 11, 61], 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-57, -40, -86, -62, -612, -276, -352, -64, -14, 228, 128, -116], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
-
id: 43899371
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 9, 'source_hecke_orbit_code': 18014398543038429, 'source_is_minimal': True, 'source_label': '2013.2.a.e.1.9', 'source_level': 2013, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 9, 'target_hecke_orbit_code': 18014398543038429, 'target_is_minimal': True, 'target_label': '2013.2.a.e.1.9', 'target_level': 2013, 'twist_class_label': '2013.2.a.e.1.9', 'twist_class_level': 2013, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43899372
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 9, 'source_hecke_orbit_code': 18014398543038429, 'source_is_minimal': True, 'source_label': '2013.2.a.e.1.9', 'source_level': 2013, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36028797052524439, 'target_is_minimal': False, 'target_label': '6039.2.a.i.1.5', 'target_level': 6039, 'twist_class_label': '2013.2.a.e.1.9', 'twist_class_level': 2013, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2364150
{'charpoly_factorization': [[[-47, 236, 366, -742, -760, 841, 610, -469, -220, 136, 35, -19, -2, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 2}
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id: 2364151
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 18014398543038429, 'p': 3}
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id: 2364152
{'charpoly_factorization': [[[-292, -1676, 4711, 4233, -13959, 3331, 6799, -2404, -1285, 476, 104, -37, -3, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 5}
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id: 2364153
{'charpoly_factorization': [[[-148, 640, 2331, -15918, 26514, -12042, -6921, 7318, -914, -833, 253, 11, -11, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 7}
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id: 2364154
{'charpoly_factorization': [[[-1, 1], 13]], 'hecke_orbit_code': 18014398543038429, 'p': 11}
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id: 2364155
{'charpoly_factorization': [[[388, -7724, 59385, -219377, 388940, -270596, 6341, 45598, -9259, -1911, 657, -3, -13, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 13}
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id: 2364156
{'charpoly_factorization': [[[4744, -219092, -585821, 285500, 460055, -264249, -48021, 50352, -2972, -3254, 542, 51, -17, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 17}
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id: 2364157
{'charpoly_factorization': [[[-10215742, 28256994, -25651789, 5891140, 3999180, -2358937, 103356, 183151, -34742, -3540, 1384, -43, -14, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 19}
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id: 2364158
{'charpoly_factorization': [[[-1840672, 13371112, -24183107, 17153801, -3384342, -1675438, 803085, -904, -46069, 4119, 1010, -126, -7, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 23}
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id: 2364159
{'charpoly_factorization': [[[11772848, -5620360, -15263265, 1847092, 6571640, 832462, -735603, -125575, 34829, 6194, -748, -130, 6, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 29}
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id: 2364160
{'charpoly_factorization': [[[-1170458, 9710684, -27561335, 38175799, -29312543, 12849900, -2929198, 137117, 92148, -20540, 918, 197, -27, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 31}
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id: 2364161
{'charpoly_factorization': [[[76337468, -166492240, 76582459, 46446297, -34929945, -1573195, 3792266, -204317, -142157, 11795, 2055, -194, -10, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 37}
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id: 2364162
{'charpoly_factorization': [[[-98100918, 59989368, 64026067, -35584767, -14299487, 6642759, 1287999, -472838, -46771, 15082, 652, -207, -3, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 41}
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id: 2364163
{'charpoly_factorization': [[[-195974572, 295981576, -63363431, -83579412, 39129841, 2674445, -4333069, 598450, 100152, -32073, 1904, 198, -29, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 43}
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id: 2364164
{'charpoly_factorization': [[[-26421804, -15164268, 58833941, 17567742, -29338618, -476247, 4095562, -425660, -140009, 17270, 1806, -229, -8, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 47}
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id: 2364165
{'charpoly_factorization': [[[93111825698, 130419884528, 58108058743, 6441993519, -2243534229, -670996989, -26246078, 10341350, 1152358, -32735, -9653, -214, 24, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 53}
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id: 2364166
{'charpoly_factorization': [[[7051312, -11441496, -26215377, 29674727, 11841571, -17909350, 3423411, 752403, -251338, 4474, 3625, -219, -13, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 59}
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id: 2364167
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 18014398543038429, 'p': 61}
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id: 2364168
{'charpoly_factorization': [[[-6958847006, -169477916206, -39708587867, 20936383426, 2313009717, -967935121, -25944476, 20091793, -535019, -172601, 11183, 317, -44, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 67}
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id: 2364169
{'charpoly_factorization': [[[-48814344, 26962908, 512125217, -431661224, -66765769, 88612272, 1593405, -4096969, -58883, 66344, 794, -438, -3, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 71}
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id: 2364170
{'charpoly_factorization': [[[28332933844, 28117420384, -4537752459, -6331127315, 1189424914, 388567146, -130311429, 7918583, 1385794, -222709, 7168, 573, -48, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 73}
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id: 2364171
{'charpoly_factorization': [[[388386798444, 131453923248, -116113531441, -9729487411, 6617813672, 376370987, -152293306, -8092221, 1660310, 90102, -8586, -485, 17, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 79}
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id: 2364172
{'charpoly_factorization': [[[58130319032, 42617697212, -19852316459, -6625979573, 3078005106, -45758771, -97247168, 9250209, 849124, -160405, 3026, 719, -50, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 83}
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id: 2364173
{'charpoly_factorization': [[[-120747458, 1450031882, 5483550149, 3540622044, 474338600, -176988322, -46122395, 1219256, 1010888, 36857, -7027, -399, 15, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 89}
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id: 2364174
{'charpoly_factorization': [[[-87087118744, -145098261164, 22218327363, 35031639796, -6856977798, -996124072, 238685361, 7345679, -2997530, 25546, 15357, -415, -27, 1], 1]], 'hecke_orbit_code': 18014398543038429, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '2013.2.a.e', 'level': 2013, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 148087000
{'hecke_orbit_code': 18014398543038429, 'n': 1, 'trace_an': 13}
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id: 148087001
{'hecke_orbit_code': 18014398543038429, 'n': 2, 'trace_an': 2}
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id: 148087002
{'hecke_orbit_code': 18014398543038429, 'n': 3, 'trace_an': -13}
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id: 148087003
{'hecke_orbit_code': 18014398543038429, 'n': 4, 'trace_an': 16}
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id: 148087004
{'hecke_orbit_code': 18014398543038429, 'n': 5, 'trace_an': 3}
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id: 148087005
{'hecke_orbit_code': 18014398543038429, 'n': 6, 'trace_an': -2}
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id: 148087006
{'hecke_orbit_code': 18014398543038429, 'n': 7, 'trace_an': 11}
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id: 148087983
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id: 148087984
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id: 148087985
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id: 148087986
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id: 148087987
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id: 148087988
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id: 148087989
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id: 148087990
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id: 148087991
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id: 148087992
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id: 148087993
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id: 148087994
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id: 148087995
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id: 148087996
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id: 148087997
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id: 148087998
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id: 148087999
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