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{'Nk2': 28672, 'analytic_conductor': 57.23676816885378, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7168, 1, [1023, 5125, 1025], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 13747093504, 'field_disc_factorization': [[2, 18], [229, 2]], 'field_poly': [1, 0, -20, 0, 38, 0, -12, 0, 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': 1, 'hecke_cutters': [[3, [100, 0, -168, 0, 84, 0, -16, 0, 1]], [5, [4, 0, -24, 0, 36, 0, -16, 0, 1]], [11, [256, 0, -1280, 0, 608, 0, -48, 0, 1]], [13, [28900, 0, -9528, 0, 1124, 0, -56, 0, 1]], [17, [8, 40, 40, 12, 1]], [23, [-108, -128, -40, 0, 1]], [31, [488, 184, -32, -8, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599935488, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7168.2.a.bc', 'level': 7168, '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': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.m.c', 'nf_label': '8.8.13747093504.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{7}q^{3}-\\beta _{3}q^{5}-q^{7}+(1+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7168.2.a', 'trace_display': [0, 0, 0, -8], 'trace_hash': 1939783932025333433, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.854', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '259.179', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14468.377', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.525', 'prec': 17}, 'traces': [8, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 8, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 16, 0, -24, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, -24, 0, 8, 0, 0, 0, 0, 0, 8, 0, -32, 0, 0, 0, 0, 0, -8, 0, -48, 0, 0, 0, 0, 0, 56, 0, -48, 0, 0, 0, 0, 0, 24, 0, -40, 0, 0, 0, 0, 0, -24, 0, -24, 0, 0, 0, 0, 0, 16, 0, -32, 0, 0, 0, 0, 0, -40, 0, -8, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 24, 0, 8, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, -56, 0, -32, 0, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [1.201958362617216, 0.0], [0.0, 0.0], [-0.22380240616060731, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [0.0, 0.0], [0.4447039054654585, 0.0], [0.0, 0.0], [0.14246571455701965, 0.0], [0.0, 0.0], [1.2472271114313804, 0.0], [0.0, 0.0], [-0.26900117365859666, 0.0], [0.0, 0.0], [-0.31342264012768106, 0.0], [0.0, 0.0], [-0.8539851704505207, 0.0], [0.0, 0.0], [-0.4542975591056496, 0.0], [0.0, 0.0], [-0.5442378347528044, 0.0], [0.0, 0.0], [-0.9499124829967226, 0.0], [0.0, 0.0], [-0.6674427845544721, 0.0], [0.0, 0.0], [-1.8346191907409397, 0.0], [0.0, 0.0], [1.5014348370916828, 0.0], [0.0, 0.0], [0.171237856998047, 0.0], [0.0, 0.0], [0.08458935850269098, 0.0], [0.0, 0.0], [0.7719153506761375, 0.0], [0.0, 0.0], [1.4991150566678617, 0.0], [0.0, 0.0], [-1.5512023830148203, 0.0], [0.0, 0.0], [-1.6417341552218292, 0.0], [0.0, 0.0], [-0.09952580407218888, 0.0], [0.0, 0.0], [0.6704093158356348, 0.0], [0.0, 0.0], [0.14285714285714285, 0.0], [0.0, 0.0], [-0.37672096333503247, 0.0], [0.0, 0.0], [-0.7661861637359131, 0.0], [0.0, 0.0], [-0.03188416971325126, 0.0], [0.0, 0.0], [-1.0264546171740918, 0.0], [0.0, 0.0], [1.1775437689305919, 0.0], [0.0, 0.0], [0.788360410831648, 0.0], [0.0, 0.0], [-0.16808227727439723, 0.0], [0.0, 0.0], [-0.2791324285670868, 0.0], [0.0, 0.0], [-1.7229067023124707, 0.0], [0.0, 0.0], [-0.6541512167338197, 0.0], [0.0, 0.0], [-0.9047968202978725, 0.0], [0.0, 0.0], [0.0651442591027017, 0.0], [0.0, 0.0], [-1.1417552526923944, 0.0], [0.0, 0.0], [-0.053846978724426925, 0.0], [0.0, 0.0], [0.16755169784472457, 0.0], [0.0, 0.0], [-1.2469423419292271, 0.0], [0.0, 0.0], [-0.22851304875336712, 0.0], [0.0, 0.0], [0.07014474100578515, 0.0], [0.0, 0.0], [-2.2051358785291013, 0.0], [0.0, 0.0], [1.3029681512874376, 0.0], [0.0, 0.0], [-0.4714075378949824, 0.0], [0.0, 0.0], [1.8046621583671654, 0.0], [0.0, 0.0], [0.1911239359723029, 0.0], [0.0, 0.0], [0.5585193313725774, 0.0], [0.0, 0.0], [0.06335505965843387, 0.0], [0.0, 0.0]], 'angles': [None, -0.14738872617532978, -0.2678470089590594, None, -0.23865332909379125, -0.14283194908859373, -0.27504461308536954, -0.32021348024631574, -0.2938622049100573, -0.43482188670097177, -0.11485399676002726, -0.18693553668696347, -0.39127658473333365, -0.4032546832483851, -0.1955972678793184, -0.31257057601284777, -0.14980581736076068, -0.18551429061377833, -0.4152226633333375, -0.3247157441469207, -0.244815067478943, -0.23665101363072408, -0.2682242899514943, -0.13707336530216058, -0.20495548827083135, -0.3323310978954287, -0.3777750884764344, -0.2386556174490211, -0.20260912251441246, -0.40572103111942787, -0.19412516613225947, -0.23506924805358737, -0.2089436548284173, -0.15807736628883345, -0.2790849194316246, -0.16862403809537677, -0.17181758022139962, -0.25810129000353155, -0.3343746191144104, -0.2171812019786261, -0.32728358181879624, -0.261471450311223, -0.25815376511588756, -0.31459452121479514, -0.32424874405689375, -0.19979171661523276, -0.1700718009918049, -0.21712817692231604, -0.2918249084068468, -0.351967533576721, -0.3994459228325204, -0.19274642214621712, -0.1688568811390776, -0.24397455764439477, -0.30919431688361604, -0.34470132332465436, -0.45971302074968906, -0.3678585529678794, -0.3063944428493304, -0.10275290924171873, -0.167802367082168, -0.14173933359249047, -0.1563032089458691, -0.2980064763112047, -0.43935451413132287, -0.21206965547808682, -0.25222468070636433, -0.3816848476872998, -0.26545981569295474, -0.2329385173531107, -0.25359608207235995, -0.1131350900142142, -0.3438137591118346, -0.21724177314334328, -0.32206163379913755, -0.25034695761813924, -0.25300769520096944, -0.1597074004746559, -0.414138814125748, -0.18754444598184958, -0.0700229578154829, -0.3737920855070857, -0.14611683903092482, -0.2957845160170019, -0.36364389979328615, -0.12942105289703645, -0.34695612117323177, -0.19845836254558485, -0.06081178156333571, -0.1309050075710014, -0.12046865798982684, -0.38929064472303687, -0.20282229024324497, -0.22212070456444444, -0.3337249831842527, -0.24123777469944185, -0.18104607558408536, -0.29580863095447224, -0.1502812515559319, -0.3054956534039773], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 7, 'dual_embedding_m': 7, 'embedding_index': 7, 'embedding_m': 7, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.23625266033775377, 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599935488, 'label': '7168.2.a.bc.1.7', 'level': 7168, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [48, 52, 48, 44], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24], 'ALdims_old': [192, 197, 199, 197], 'Nk2': 28672, 'analytic_conductor': 57.23676816885378, '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': [7168, 1, [1023, 5125, 1025], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 977, 'dim': 192, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 13, 17, 23, 31], 'hecke_orbit_code': 33561600, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12], 'label': '7168.2.a', 'level': 7168, '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': [2, 7], 'level_radical': 14, 'mf_dim': 1072, 'mf_new_dim': 192, 'num_forms': 38, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 2048, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -640, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48678873
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 126100789599935488, 'target_is_minimal': False, 'target_label': '7168.2.a.bc.1.7', 'target_level': 7168, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48678874
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227305984, 'target_is_minimal': False, 'target_label': '7168.2.a.bd.1.2', 'target_level': 7168, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48678875
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 130604389227305984, 'target_is_minimal': False, 'target_label': '7168.2.a.bd.1.7', 'target_level': 7168, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48678876
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599935488, 'target_is_minimal': False, 'target_label': '7168.2.a.bc.1.2', 'target_level': 7168, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48678877
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 337, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016704, 'target_is_minimal': False, 'target_label': '448.2.m.c.337.1', 'target_level': 448, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48678878
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 225, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015223176758144, 'target_is_minimal': False, 'target_label': '896.2.m.e.225.1', 'target_level': 896, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48678879
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 113, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016704, 'target_is_minimal': False, 'target_label': '448.2.m.c.113.1', 'target_level': 448, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48678880
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 673, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015223176758144, 'target_is_minimal': False, 'target_label': '896.2.m.e.673.1', 'target_level': 896, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48678881
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 673, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518822804128640, 'target_is_minimal': False, 'target_label': '896.2.m.f.673.4', 'target_level': 896, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48678882
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 85, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008023922016368, 'target_is_minimal': True, 'target_label': '112.2.m.c.85.2', 'target_level': 112, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 48678883
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 225, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518822804128640, 'target_is_minimal': False, 'target_label': '896.2.m.f.225.4', 'target_level': 896, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48678884
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 29, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008023922016368, 'target_is_minimal': True, 'target_label': '112.2.m.c.29.2', 'target_level': 112, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48678885
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 373, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45037576855225104, 'target_is_minimal': False, 'target_label': '784.2.x.k.373.4', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 48678886
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 557, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40533977227854608, 'target_is_minimal': False, 'target_label': '784.2.x.j.557.4', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 48678887
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 557, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45037576855225104, 'target_is_minimal': False, 'target_label': '784.2.x.k.557.4', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.93', 'twisting_conrey_index': 93, 'weight': 2}
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id: 48678888
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 165, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533977227854608, 'target_is_minimal': False, 'target_label': '784.2.x.j.165.1', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.117', 'twisting_conrey_index': 117, 'weight': 2}
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id: 48678889
{'conductor': 224, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 589, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022422431499024, 'target_is_minimal': False, 'target_label': '784.2.m.g.589.2', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.125', 'twisting_conrey_index': 125, 'weight': 2}
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id: 48678890
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 165, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037576855225104, 'target_is_minimal': False, 'target_label': '784.2.x.k.165.1', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.149', 'twisting_conrey_index': 149, 'weight': 2}
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id: 48678891
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 765, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533977227854608, 'target_is_minimal': False, 'target_label': '784.2.x.j.765.1', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.157', 'twisting_conrey_index': 157, 'weight': 2}
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id: 48678892
{'conductor': 224, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 197, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022422431499024, 'target_is_minimal': False, 'target_label': '784.2.m.g.197.2', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.181', 'twisting_conrey_index': 181, 'weight': 2}
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id: 48678893
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 373, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40533977227854608, 'target_is_minimal': False, 'target_label': '784.2.x.j.373.4', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.213', 'twisting_conrey_index': 213, 'weight': 2}
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id: 48678894
{'conductor': 224, 'degree': 8, 'order': 24, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 126100789599935488, 'source_is_minimal': False, 'source_label': '7168.2.a.bc.1.7', 'source_level': 7168, 'target_conrey_index': 765, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037576855225104, 'target_is_minimal': False, 'target_label': '784.2.x.k.765.1', 'target_level': 784, 'twist_class_label': '112.2.m.c.29.2', 'twist_class_level': 112, 'twisting_char_label': '224.221', 'twisting_conrey_index': 221, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4398875
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 126100789599935488, 'p': 2}
-
id: 4398876
{'charpoly_factorization': [[[100, 0, -168, 0, 84, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 3}
-
id: 4398877
{'charpoly_factorization': [[[4, 0, -24, 0, 36, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 5}
-
id: 4398878
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 126100789599935488, 'p': 7}
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id: 4398879
{'charpoly_factorization': [[[256, 0, -1280, 0, 608, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 11}
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id: 4398880
{'charpoly_factorization': [[[28900, 0, -9528, 0, 1124, 0, -56, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 13}
-
id: 4398881
{'charpoly_factorization': [[[8, 40, 40, 12, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 17}
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id: 4398882
{'charpoly_factorization': [[[39204, 0, -13448, 0, 1572, 0, -72, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 19}
-
id: 4398883
{'charpoly_factorization': [[[-108, -128, -40, 0, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 23}
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id: 4398884
{'charpoly_factorization': [[[144, 0, -800, 0, 632, 0, -104, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 29}
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id: 4398885
{'charpoly_factorization': [[[488, 184, -32, -8, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 31}
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id: 4398886
{'charpoly_factorization': [[[435600, 0, -168032, 0, 10296, 0, -184, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 37}
-
id: 4398887
{'charpoly_factorization': [[[2280, -536, -136, 4, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 41}
-
id: 4398888
{'charpoly_factorization': [[[10863616, 0, -964096, 0, 27456, 0, -288, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 43}
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id: 4398889
{'charpoly_factorization': [[[-376, -232, -8, 12, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 47}
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id: 4398890
{'charpoly_factorization': [[[4624, 0, -13088, 0, 1688, 0, -72, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 53}
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id: 4398891
{'charpoly_factorization': [[[9771876, 0, -779816, 0, 21668, 0, -248, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 59}
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id: 4398892
{'charpoly_factorization': [[[161604, 0, -55640, 0, 4164, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 61}
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id: 4398893
{'charpoly_factorization': [[[495616, 0, -321536, 0, 19328, 0, -288, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 67}
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id: 4398894
{'charpoly_factorization': [[[-12080, 1584, 144, -28, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 71}
-
id: 4398895
{'charpoly_factorization': [[[-176, 224, 152, 24, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 73}
-
id: 4398896
{'charpoly_factorization': [[[-2160, 1712, -160, -12, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 79}
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id: 4398897
{'charpoly_factorization': [[[100, 0, -168, 0, 84, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 126100789599935488, 'p': 83}
-
id: 4398898
{'charpoly_factorization': [[[-1136, -1808, -144, 12, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 89}
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id: 4398899
{'charpoly_factorization': [[[712, -648, -24, 16, 1], 2]], 'hecke_orbit_code': 126100789599935488, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '7168.2.a.bc', 'level': 7168, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68009293
{'hecke_orbit_code': 126100789599935488, 'n': 1, 'trace_an': 8}
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id: 68009294
{'hecke_orbit_code': 126100789599935488, 'n': 2, 'trace_an': 0}
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id: 68009295
{'hecke_orbit_code': 126100789599935488, 'n': 3, 'trace_an': 0}
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id: 68009296
{'hecke_orbit_code': 126100789599935488, 'n': 4, 'trace_an': 0}
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id: 68009297
{'hecke_orbit_code': 126100789599935488, 'n': 5, 'trace_an': 0}
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id: 68009298
{'hecke_orbit_code': 126100789599935488, 'n': 6, 'trace_an': 0}
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id: 68009299
{'hecke_orbit_code': 126100789599935488, 'n': 7, 'trace_an': -8}
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id: 68009300
{'hecke_orbit_code': 126100789599935488, 'n': 8, 'trace_an': 0}
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id: 68009301
{'hecke_orbit_code': 126100789599935488, 'n': 9, 'trace_an': 8}
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id: 68009302
{'hecke_orbit_code': 126100789599935488, 'n': 10, 'trace_an': 0}
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id: 68009303
{'hecke_orbit_code': 126100789599935488, 'n': 11, 'trace_an': 0}
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id: 68009304
{'hecke_orbit_code': 126100789599935488, 'n': 12, 'trace_an': 0}
-
id: 68009305
{'hecke_orbit_code': 126100789599935488, 'n': 13, 'trace_an': 0}
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id: 68009306
{'hecke_orbit_code': 126100789599935488, 'n': 14, 'trace_an': 0}
-
id: 68009307
{'hecke_orbit_code': 126100789599935488, 'n': 15, 'trace_an': 8}
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id: 68009308
{'hecke_orbit_code': 126100789599935488, 'n': 16, 'trace_an': 0}
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id: 68009309
{'hecke_orbit_code': 126100789599935488, 'n': 17, 'trace_an': -24}
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id: 68009310
{'hecke_orbit_code': 126100789599935488, 'n': 18, 'trace_an': 0}
-
id: 68009311
{'hecke_orbit_code': 126100789599935488, 'n': 19, 'trace_an': 0}
-
id: 68009312
{'hecke_orbit_code': 126100789599935488, 'n': 20, 'trace_an': 0}
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id: 68009313
{'hecke_orbit_code': 126100789599935488, 'n': 21, 'trace_an': 0}
-
id: 68009314
{'hecke_orbit_code': 126100789599935488, 'n': 22, 'trace_an': 0}
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id: 68009315
{'hecke_orbit_code': 126100789599935488, 'n': 23, 'trace_an': 0}
-
id: 68009316
{'hecke_orbit_code': 126100789599935488, 'n': 24, 'trace_an': 0}
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id: 68009317
{'hecke_orbit_code': 126100789599935488, 'n': 25, 'trace_an': -8}
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id: 68009318
{'hecke_orbit_code': 126100789599935488, 'n': 26, 'trace_an': 0}
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id: 68009319
{'hecke_orbit_code': 126100789599935488, 'n': 27, 'trace_an': 0}
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id: 68009320
{'hecke_orbit_code': 126100789599935488, 'n': 28, 'trace_an': 0}
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id: 68009321
{'hecke_orbit_code': 126100789599935488, 'n': 29, 'trace_an': 0}
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id: 68009322
{'hecke_orbit_code': 126100789599935488, 'n': 30, 'trace_an': 0}
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id: 68009323
{'hecke_orbit_code': 126100789599935488, 'n': 31, 'trace_an': 16}
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id: 68009324
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