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{'Nk2': 25100, 'analytic_conductor': 50.10612726835344, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [251, -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': [6275, 1, [252, 5026], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 17, 'field_disc': 419884404542982739564963361465792, 'field_disc_factorization': [[2, 6], [373, 1], [8768135668531, 1], [2006012696666681, 1]], 'field_poly': [256, 2240, 1920, -8800, -9400, 13752, 13680, -11921, -9216, 6186, 3178, -1867, -582, 317, 54, -28, -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, [-256, 2240, -1920, -8800, 9400, 13752, -13680, -11921, 9216, 6186, -3178, -1867, 582, 317, -54, -28, 2, 1]], [3, [-3164, 10587, 5377, -41362, 3260, 63091, -10424, -48174, 6280, 20039, -1445, -4602, 142, 582, -5, -38, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543042691, 'hecke_ring_generator_nbound': 7, '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': False, 'label': '6275.2.a.e', 'level': 6275, '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': [5, 251], 'level_radical': 1255, 'minimal_twist': '251.2.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-\\beta _{3}q^{3}+(2+\\beta _{2})q^{4}+(1+\\beta _{3}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 17, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6275.2.a', 'trace_display': [-2, 0, 0, -3], 'trace_hash': 719559731017337281, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.219', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.543', 'prec': 20}, {'__RealLiteral__': 0, 'data': '9.844', 'prec': 17}, {'__RealLiteral__': 0, 'data': '714.946', 'prec': 24}, {'__RealLiteral__': 0, 'data': '639.917', 'prec': 24}, {'__RealLiteral__': 0, 'data': '59138.380', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [17, -2, 0, 26, 0, 1, -3, -6, 25, 0, -1, 9, -22, -7, 0, 40, 1, 7, 13, 0, 25, -4, 2, -24, 0, -9, 15, 10, 28, 0, 12, -4, 16, -21, 0, 21, -27, 37, 13, 0, -1, 56, -9, -43, 0, 4, 20, 79, 32, 0, -2, 1, -1, -65, 0, -61, 24, 46, -20, 0, 59, 73, 41, 54, 0, -43, -15, 20, 38, 0, -26, 2, -8, 2, 0, 38, 0, 0, 33, 0, 29, -10, 0, 63, 0, 11, 11, -27, 11, 0, -2, -28, -28, 29, 0, -17, 10, -22, -36, 0, 38, 20, 9, 22, 0, 32, 36, 12, 106, 0, 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mf_newspaces • Show schema
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{'ALdims': [87, 101, 118, 90], 'Nk2': 25100, 'analytic_conductor': 50.10612726835344, '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': [6275, 1, [252, 5026], [1, 1]], 'conrey_index': 1, 'cusp_dim': 625, 'dim': 396, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33560707, 'hecke_orbit_dims': [2, 4, 4, 14, 17, 18, 21, 24, 42, 42, 42, 42, 48, 76], 'label': '6275.2.a', 'level': 6275, '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': [5, 251], 'level_radical': 1255, 'mf_dim': 636, 'mf_new_dim': 396, 'num_forms': 14, 'plus_dim': 177, 'prim_orbit_index': 1, 'relative_dim': 396, 'sturm_bound': 1260, 'trace_bound': 3, 'trace_display': [1, 2, 0, 8], 'traces': [396, 1, 2, 395, 0, -2, 8, 3, 388, 0, 0, 4, 0, -4, 0, 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0, -128, 50, 194, -352, 0, 40, 224, 382, 268, 0, 330, 138, 81, -346, 0, 42, 4, 122, -48, 0, -154, -256, 270, -214, 0, -432, 30, 100, 394, 0, 164, -466, 84, 206, 0, 258, 294, -50, 216, 0, 316, 24, 278, -198, 0, -360, 12, 473, 6, 0, 240, -248, 98, -222, 0, -316, 34, -326, 228, 0, 158, -276, 56, 442, 0, 164, -376, 360, -242, 0, 234, -58, 341, -774, 0, -560, 194, 190, 54, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43981489
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014398543042691, 'source_is_minimal': False, 'source_label': '6275.2.a.e.1.10', 'source_level': 6275, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18014398543042691, 'target_is_minimal': False, 'target_label': '6275.2.a.e.1.10', 'target_level': 6275, 'twist_class_label': '251.2.a.b.1.8', 'twist_class_level': 251, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43981490
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014398543042691, 'source_is_minimal': False, 'source_label': '6275.2.a.e.1.10', 'source_level': 6275, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4503599660925179, 'target_is_minimal': True, 'target_label': '251.2.a.b.1.8', 'target_level': 251, 'twist_class_label': '251.2.a.b.1.8', 'twist_class_level': 251, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43981491
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014398543042691, 'source_is_minimal': False, 'source_label': '6275.2.a.e.1.10', 'source_level': 6275, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 10, 'target_hecke_orbit_code': 45035996307261651, 'target_is_minimal': False, 'target_label': '2259.2.a.k.1.10', 'target_level': 2259, 'twist_class_label': '251.2.a.b.1.8', 'twist_class_level': 251, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43981492
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014398543042691, 'source_is_minimal': False, 'source_label': '6275.2.a.e.1.10', 'source_level': 6275, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 13, 'target_hecke_orbit_code': 45035996307263408, 'target_is_minimal': False, 'target_label': '4016.2.a.k.1.13', 'target_level': 4016, 'twist_class_label': '251.2.a.b.1.8', 'twist_class_level': 251, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4140075
{'charpoly_factorization': [[[-256, 2240, -1920, -8800, 9400, 13752, -13680, -11921, 9216, 6186, -3178, -1867, 582, 317, -54, -28, 2, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 2}
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id: 4140076
{'charpoly_factorization': [[[-3164, 10587, 5377, -41362, 3260, 63091, -10424, -48174, 6280, 20039, -1445, -4602, 142, 582, -5, -38, 0, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 3}
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id: 4140077
{'charpoly_factorization': [[[0, 1], 17]], 'hecke_orbit_code': 18014398543042691, 'p': 5}
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id: 4140078
{'charpoly_factorization': [[[-2209789, -7772692, -7315324, 3243764, 7921027, 1056610, -3176896, -922654, 668242, 235362, -80756, -29805, 5579, 2030, -203, -71, 3, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 7}
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id: 4140079
{'charpoly_factorization': [[[10657792, -11018240, -84443136, 18051072, 139814400, 41462784, -38411776, -15007296, 4542848, 2100848, -278496, -151560, 9162, 5977, -152, -122, 1, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 11}
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id: 4140080
{'charpoly_factorization': [[[504874, 5938307, 6409715, -16505080, -21090650, 11584495, 16832410, -1749194, -5242340, -596895, 636123, 166344, -18658, -11180, -985, 106, 22, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 13}
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id: 4140081
{'charpoly_factorization': [[[54097717, 1430823689, -551610256, -1142328459, 296727023, 360650645, -60993229, -59432117, 6084607, 5613916, -301503, -310378, 6153, 9720, 4, -156, -1, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 17}
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id: 4140082
{'charpoly_factorization': [[[130088960, -792199168, 635764736, 820908032, -843688960, -209359360, 274551424, 26908352, -36827040, -1351376, 2514552, -9904, -92284, 3191, 1731, -101, -13, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 19}
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id: 4140083
{'charpoly_factorization': [[[-201949, -7122621, 27663623, -3117473, -80688792, 63705511, 30706764, -24878008, -4725642, 3472133, 354375, -234207, -13724, 8242, 264, -145, -2, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 23}
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id: 4140084
{'charpoly_factorization': [[[1937776640, -48567717888, -38478827520, 20809587712, 14938317824, -4798937856, -2212257792, 678614208, 142138656, -53412880, -2737896, 2114316, -83940, -35339, 3592, 109, -28, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 29}
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id: 4140085
{'charpoly_factorization': [[[10307640389, 39314636036, 29270357475, -9922272408, -11842608328, 900961262, 1824111843, -55361745, -146421065, 4377535, 6673682, -286098, -171886, 10062, 2289, -166, -12, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 31}
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id: 4140086
{'charpoly_factorization': [[[1861132288, -94585307136, 20547432448, 81237630976, -13518874112, -20941760512, 1568518656, 2433148864, 14577344, -136121072, -8948544, 3436984, 378678, -32361, -5558, 0, 27, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 37}
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id: 4140087
{'charpoly_factorization': [[[-11114425387, 33633722464, -8594977168, -25358202442, 8804714605, 6629442096, -1998291412, -839024486, 179176510, 56730326, -7251940, -2075753, 128893, 38908, -797, -327, 1, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 41}
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id: 4140088
{'charpoly_factorization': [[[11640832, -339017728, 527659008, 24916977664, 41569265664, 9051129344, -8346453888, -2085395520, 623509120, 125204240, -21050904, -3439332, 352374, 48873, -2862, -350, 9, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 43}
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id: 4140089
{'charpoly_factorization': [[[62409392128, -362991652864, 401647810560, 118005789696, -210088440832, -31462836992, 28205012864, 2690425152, -1705492768, -83401008, 53212280, 603244, -872728, 14991, 6943, -260, -20, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 47}
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id: 4140090
{'charpoly_factorization': [[[7243329708032, -2609368993792, -4279899836416, 595623487488, 958257038336, 43224440320, -73236175616, -8209777280, 2483149792, 378464016, -41100864, -7929696, 333566, 85157, -1170, -460, 1, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 53}
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id: 4140091
{'charpoly_factorization': [[[-139809955840, 156569124864, 296771993600, -432346468352, 59437852160, 96262785536, -28202291456, -4767793344, 1895587136, 116115376, -55500736, -2051496, 840402, 29669, -6472, -269, 20, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 59}
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id: 4140092
{'charpoly_factorization': [[[-3666674696192, 15553559293952, -25084058574848, 19829218704384, -7795255991296, 1049495551488, 254175284608, -105566377280, 8026761536, 1766208672, -358118728, 8177288, 3270878, -312119, 2169, 1075, -59, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 61}
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id: 4140093
{'charpoly_factorization': [[[1042048845953, 1408296024177, -1878172122230, -365757071819, 471968962679, 50268870527, -47502087611, -3972065505, 2389807155, 178032782, -63940191, -4463436, 895287, 60364, -6002, -400, 15, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 67}
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id: 4140094
{'charpoly_factorization': [[[-12296978432, 49532829696, 68594900992, -166011027456, -177726125056, -18133311488, 28016491648, 8678956672, -401864960, -460211216, -35897688, 7551084, 1095946, -26335, -9687, -200, 26, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 71}
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id: 4140095
{'charpoly_factorization': [[[371103914897, -2848439163886, -4106578504731, 2892174953448, 2250483827338, -268115200878, -272674186013, -3415758901, 11635976439, 714163227, -203838750, -17014966, 1633456, 159642, -5971, -660, 8, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 73}
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id: 4140096
{'charpoly_factorization': [[[-1616495596055, 7869172132141, 11461496855656, 2221440392387, -1419739642133, -352469832409, 82231679835, 19597651603, -2969045463, -548408374, 71371605, 8049454, -1089881, -52628, 9306, 10, -33, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 79}
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id: 4140097
{'charpoly_factorization': [[[-295625646813184, 308857769302016, 116429725697024, -76344818967680, -10396445225104, 6266391309920, 368397937479, -235022278685, -5789427547, 4522831874, 43148327, -47625433, -147193, 276753, 182, -830, 0, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 83}
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id: 4140098
{'charpoly_factorization': [[[-91153496990, -248323900089, 73341745265, 281057415395, -111087884263, -57306699649, 29345374474, 2343131572, -2397420922, 82706963, 74548723, -5371593, -971603, 83458, 5447, -495, -11, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 89}
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id: 4140099
{'charpoly_factorization': [[[41770891288576, 90599795339264, 32737918083072, -27873969767424, -9310152623104, 2312499828992, 635356579328, -99643866816, -18416520096, 2403001936, 258766672, -31176204, -1880094, 215169, 6856, -742, -10, 1], 1]], 'hecke_orbit_code': 18014398543042691, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '6275.2.a.e', 'level': 6275, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 151312000
{'hecke_orbit_code': 18014398543042691, 'n': 1, 'trace_an': 17}
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id: 151312001
{'hecke_orbit_code': 18014398543042691, 'n': 2, 'trace_an': -2}
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id: 151312002
{'hecke_orbit_code': 18014398543042691, 'n': 3, 'trace_an': 0}
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id: 151312003
{'hecke_orbit_code': 18014398543042691, 'n': 4, 'trace_an': 26}
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id: 151312004
{'hecke_orbit_code': 18014398543042691, 'n': 5, 'trace_an': 0}
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id: 151312005
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