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{'Nk2': 10668, 'analytic_conductor': 21.29610221907548, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 1], [127, -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': [2667, 1, [890, 1144, 2416], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 16, 'field_disc': 3925253247562629319229522462576, 'field_disc_factorization': [[2, 4], [331, 1], [1049, 1], [479041, 1], [1474930415904160909, 1]], 'field_poly': [4, -148, 416, 1002, -3341, -158, 5821, -2747, -3082, 2282, 565, -712, 9, 98, -13, -5, 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, [4, -148, 416, 1002, -3341, -158, 5821, -2747, -3082, 2282, 565, -712, 9, 98, -13, -5, 1]], [5, [-27136, -208768, -344128, 359328, 542544, -232104, -316420, 73336, 91364, -12600, -14371, 1185, 1249, -56, -56, 1, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816744043, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], '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': True, 'label': '2667.2.a.o', 'level': 2667, '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': True, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'minimal_twist': '2667.2.a.o', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+\\beta _{13}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': 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mf_newspaces • Show schema
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{'ALdims': [14, 19, 13, 18, 17, 14, 10, 22], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [24, 27, 28, 24, 30, 24, 33, 20], 'Nk2': 10668, 'analytic_conductor': 21.29610221907548, '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': [2667, 1, [890, 1144, 2416], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 337, 'dim': 127, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33557099, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 13, 14, 16, 16, 18, 19], 'label': '2667.2.a', 'level': 2667, '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': True, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'mf_dim': 344, 'mf_new_dim': 127, 'num_forms': 17, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 127, 'sturm_bound': 682, 'trace_bound': 4, 'trace_display': [1, -1, 10, -1], 'traces': [127, 1, -1, 133, 10, 5, -1, -3, 127, -2, -12, -7, 2, -3, 2, 133, 14, 1, -4, 38, 3, 20, -8, 9, 145, 38, -1, -7, 2, -2, 16, 25, -12, 22, -6, 133, -6, -8, 2, -2, 30, 1, -28, -64, 10, -8, -24, -31, 127, -25, 6, -38, 10, 5, -32, -15, -12, -34, -36, 6, 10, 28, -1, 157, 36, -20, -52, -6, 16, 22, -32, -3, 54, 58, -15, 52, -12, 30, 32, 46, 127, -30, 28, 5, 4, -20, -22, 32, 38, -2, -6, -32, 8, -8, 0, 73, -2, 1, -12, 139, -6, -14, -56, 202, -6, 94, -92, -7, 42, -96, -22, 1, 22, 20, -32, 78, 2, -20, -2, -10, 91, -38, -26, 40, 12, -3, 19, -19, 20, 60, -68, 28, 4, -60, 2, 154, 6, -24, -100, -42, 0, -12, 40, 133, -4, 82, -1, -66, -22, 27, -32, -76, 14, -36, -176, 30, -22, -136, -22, -34, -8, 1, -44, -10, -8, -60, -72, 21, 249, -124, -4, 76, -6, 6, -15, -140, -20, -30, -20, 38, 10, 30, -14, 24, 28, 56, -128, -180, 3, -128, 0, -31, -42, -94, -44, 133, -38, 20, -88, -101, 28, 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14, 12, 88, 164, 8, -144, 136, -26, 145, 342, 86, 192, 422, -8, 91, 166, -4, 354, -352, -184, 10, -50, 0, -228, -10, 328, -108, -352, -2, -88, 288, 73, 140, -490, 93, -24, -184, -188, 224, 38, -2, 312, 84, -118, -150, 416, 42, 360, 214, 1, 228, -48, 72, 24, 256, -250, 15, -28, -12, -224, 64, -114, -128, -143, -88, 442, 320, 139, -84, 228, -28, 6, 92, -112, -172, 332, -6, 52, -32, 76, -24, 66, 68, -154, -84, -14, 192, 568, 44, -82, 480, -36, 270, 164, -56, -82, 278, 16, -4, -510, 32, 132, 416, 202, 14, -44, -34, -304, -102, 62, 400, -292, -6, 16, -204, -64, 164, -376, -142, -118, 110, 94, -184, 32, -24, -24, 70, 270, 63, 400, -92, 194, 244, 48, 152, 553, -40, 68, -316, -7, 100, -32, 190, -214, 70, -36, 240, 38, 42, -180, -32, -78, 60, 476, 32, 580, -16, -96, -32, -704, 68, -24, 72, 116, 226, -60, -22, -428], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47777719
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050394816744043, 'source_is_minimal': True, 'source_label': '2667.2.a.o.1.11', 'source_level': 2667, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 63050394816744043, 'target_is_minimal': True, 'target_label': '2667.2.a.o.1.11', 'target_level': 2667, 'twist_class_label': '2667.2.a.o.1.11', 'twist_class_level': 2667, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47777720
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 11, 'source_hecke_orbit_code': 63050394816744043, 'source_is_minimal': True, 'source_label': '2667.2.a.o.1.11', 'source_level': 2667, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 76561193698860865, 'target_is_minimal': False, 'target_label': '8001.2.a.r.1.6', 'target_level': 8001, 'twist_class_label': '2667.2.a.o.1.11', 'twist_class_level': 2667, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2786050
{'charpoly_factorization': [[[4, -148, 416, 1002, -3341, -158, 5821, -2747, -3082, 2282, 565, -712, 9, 98, -13, -5, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 2}
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id: 2786051
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 63050394816744043, 'p': 3}
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id: 2786052
{'charpoly_factorization': [[[-27136, -208768, -344128, 359328, 542544, -232104, -316420, 73336, 91364, -12600, -14371, 1185, 1249, -56, -56, 1, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 5}
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id: 2786053
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 63050394816744043, 'p': 7}
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id: 2786054
{'charpoly_factorization': [[[-1179648, 8364032, -22375424, 26521856, -9532800, -7245280, 6803293, -563202, -1042308, 269445, 56472, -24672, -428, 888, -49, -11, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 11}
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id: 2786055
{'charpoly_factorization': [[[-61239104, 348343936, -665531472, 451956448, 14462820, -139088560, 38601569, 11317384, -6109748, 24926, 352702, -39214, -7668, 1562, 11, -18, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 13}
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id: 2786056
{'charpoly_factorization': [[[939096, 10373798, -26553199, -87531428, -57680354, 9307050, 21989368, 5624087, -1463057, -802361, -19265, 37776, 4040, -735, -114, 5, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 17}
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id: 2786057
{'charpoly_factorization': [[[-18205664, 15264728, 123230100, -60135700, -207031320, -17673676, 69330555, 19474268, -4946635, -2164370, 67805, 91651, 3733, -1673, -123, 11, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 19}
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id: 2786058
{'charpoly_factorization': [[[885006336, 1962362368, -1118563072, -2777301760, 313746112, 913579808, -6053312, -107080624, 606292, 6061328, -157913, -176098, 8415, 2467, -160, -13, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 23}
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id: 2786059
{'charpoly_factorization': [[[24336668672, -30142906848, -1675831296, 14148060280, -3258186392, -2040741606, 777392167, 76283362, -59428567, 2286180, 1852743, -193194, -21848, 3818, 8, -24, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 29}
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id: 2786060
{'charpoly_factorization': [[[63774720, -1312400896, -7038464, 1855853920, 368632800, -719197446, -283400427, 62123044, 51515713, 7050827, -1320819, -489813, -44073, 1767, 607, 42, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 31}
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id: 2786061
{'charpoly_factorization': [[[39421737428, 16074547284, -29627325635, -3650308220, 8468827733, -594178683, -1007814474, 201275717, 42779044, -16317356, 420032, 422797, -58414, 285, 501, -40, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 37}
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id: 2786062
{'charpoly_factorization': [[[16289945096, 109425368814, 217123192233, 177296209815, 51942179735, -6696670185, -5960829549, -313892087, 240883799, 20351754, -5147630, -389089, 62205, 3119, -394, -9, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 41}
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id: 2786063
{'charpoly_factorization': [[[41489887232, -53869608960, -36774800640, 22134681728, 11927863680, -2601630528, -1537015488, 104851432, 92592520, -70456, -2766767, -77508, 41667, 1377, -316, -7, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 43}
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id: 2786064
{'charpoly_factorization': [[[14109523968, 30299066368, -33986376960, -3164929536, 11794207764, -2863572924, -773849045, 399684257, -19556301, -15292602, 2623371, 75363, -53211, 3574, 189, -31, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 47}
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id: 2786065
{'charpoly_factorization': [[[-443170186752, 198052307872, 180696190064, -90189284672, -22818806676, 15575563488, 237147455, -1212752963, 149147211, 33614746, -9659696, 441631, 129116, -23588, 1773, -66, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 53}
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id: 2786066
{'charpoly_factorization': [[[-219737088000, 817016531200, -115227370560, -541342008032, 210192647744, 27816997840, -18737338236, -44197692, 636875872, -17854814, -10941509, 358776, 102525, -2687, -502, 7, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 59}
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id: 2786067
{'charpoly_factorization': [[[15419695152, -212813119120, -2157107564908, -1220842778620, 395438644656, 157308999934, -33128608399, -6127236110, 1167671429, 105369281, -19556025, -890269, 163141, 3687, -653, -6, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 61}
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id: 2786068
{'charpoly_factorization': [[[-50604450816, 193133407232, -247299779008, 110799151040, 14638741344, -28178676856, 7638415596, 108089952, -357518480, 43117500, 3374847, -907845, 14546, 6558, -306, -16, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 67}
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id: 2786069
{'charpoly_factorization': [[[-2604300724224, 7249584983600, -3969393459372, -112042350264, 534372442048, -93373365606, -15672151733, 5714371015, -136758927, -116652514, 11885530, 654560, -160392, 4937, 560, -46, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 71}
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id: 2786070
{'charpoly_factorization': [[[46641155536, 367052382272, 779015258676, 290292803332, -115683460368, -43532024354, 10695446287, 1833399094, -497705244, -22264297, 11027730, -243078, -107646, 7072, 281, -39, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 73}
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id: 2786071
{'charpoly_factorization': [[[39713124416832, 11089903363052, -15081977537019, -1657557199771, 1706545980887, 95697788325, -85213170864, -2868804422, 2161910264, 49041167, -29285144, -466929, 210272, 2238, -741, -4, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 79}
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id: 2786072
{'charpoly_factorization': [[[-18683904000, -38940646400, 75696966400, 204808792064, 116589277056, 3303822368, -11940754880, -1586639184, 446546488, 68554214, -8306099, -1088798, 89974, 6910, -490, -15, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 83}
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id: 2786073
{'charpoly_factorization': [[[105203797590016, -20680234328064, -43079673319424, 9039760123904, 4118312159488, -639431130144, -185680676064, 16700652224, 4241871120, -189800364, -49704225, 971602, 299739, -2006, -881, 1, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 89}
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id: 2786074
{'charpoly_factorization': [[[-14259174215040, -98902237775904, 60806973383424, 5580530925120, -6759049954608, 91741479912, 271376308011, -12990835198, -5008586671, 345604532, 44081956, -3991473, -154480, 21068, -53, -41, 1], 1]], 'hecke_orbit_code': 63050394816744043, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '2667.2.a.o', 'level': 2667, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 59468977
{'hecke_orbit_code': 63050394816744043, 'n': 1, 'trace_an': 16}
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id: 59468978
{'hecke_orbit_code': 63050394816744043, 'n': 2, 'trace_an': 5}
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id: 59468979
{'hecke_orbit_code': 63050394816744043, 'n': 3, 'trace_an': -16}
-
id: 59468980
{'hecke_orbit_code': 63050394816744043, 'n': 4, 'trace_an': 19}
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id: 59468981
{'hecke_orbit_code': 63050394816744043, 'n': 5, 'trace_an': -1}
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id: 59468982
{'hecke_orbit_code': 63050394816744043, 'n': 6, 'trace_an': -5}
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id: 59468983
{'hecke_orbit_code': 63050394816744043, 'n': 7, 'trace_an': -16}
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id: 59468984
{'hecke_orbit_code': 63050394816744043, 'n': 8, 'trace_an': 6}
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id: 59468985
{'hecke_orbit_code': 63050394816744043, 'n': 9, 'trace_an': 16}
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id: 59468986
{'hecke_orbit_code': 63050394816744043, 'n': 10, 'trace_an': -12}
-
id: 59468987
{'hecke_orbit_code': 63050394816744043, 'n': 11, 'trace_an': 11}
-
id: 59468988
{'hecke_orbit_code': 63050394816744043, 'n': 12, 'trace_an': -19}
-
id: 59468989
{'hecke_orbit_code': 63050394816744043, 'n': 13, 'trace_an': 18}
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id: 59468990
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id: 59469233
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id: 59469234
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