Formats: - HTML - YAML - JSON - 2026-08-25T16:31:58.779791
  • mf_newformsShow schema
    {'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 12, 'char_parity': 1, 'char_values': [450, 12, [101, 127], [10, 3]], 'cm_discs': [], 'conrey_index': 257, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [0, 1]], [11, [12, -6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022628589928898, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 2, 5, 3, -1, 4, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 45, 8, -1, 6, 0], [1, 2, 45, 12, 1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '450.2.p.g', 'level': 450, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '450.2.p.g', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 12, 'qexp_display': 'q+\\zeta_{24}^{7}q^{2}+(-\\zeta_{24}-\\zeta_{24}^{5})q^{3}-\\zeta_{24}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.2.p', 'trace_display': [0, 0, 0, 0], 'trace_hash': 658717938066127997, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '7.855', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '778.636', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '104958.818', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.796', 'prec': 10}, 'traces': [8, 0, 0, 0, 0, 12, 0, 0, 0, 0, 24, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, -72, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 24, 0, 0, 0, 0, 24, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, -48, 0, 0, 0, 0, -72, 0, 0, 0, 0, -84, 0, 0, 0, 0, -64, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 120, 0, 0, 0, 0, 24, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 28, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 4, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 72, 0, 0, 0, 0, -144, 0, 0, 0, 0, -48, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, -168, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 84, 0, 0, 0, 0, -48, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 24, 0, 0, 0, 0, 32, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 84, 0, 0, 0, 0, 48, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, -36, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, -108, 0, 0, 0, 0, 204, 0, 0, 0, 0, -32, 0, 0, 0, 0, -144, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 36, 0, 0, 0, 0, 60, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 16, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 104, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 228, 0, 0, 0, 0, -128, 0, 0, 0, 0, 72, 0, 0, 0, 0, 156, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, -144, 0, 0, 0, 0, -192, 0, 0, 0, 0, 8, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 168, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 24, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, -48, 0, 0, 0, 0, 180, 0, 0, 0, 0, -36, 0, 0, 0, 0, 96, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 200, 0, 0, 0, 0, -72, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, -72, 0, 0, 0, 0, -288, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, -120, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, -192, 0, 0, 0, 0, 120, 0, 0, 0, 0, 64, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, -72, 0, 0, 0, 0, 288, 0, 0, 0, 0, -336, 0, 0, 0, 0, -144, 0, 0, 0, 0, -72, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, -480, 0, 0, 0, 0, -288, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
  • mf_hecke_ccShow schema
    {'an_normalized': [[1.0, 0.0], [-0.18301270189221933, -0.6830127018922193], [-0.7071067811865476, 0.7071067811865476], [-0.4330127018922193, 0.25], [0.0, 0.0], [0.6123724356957945, 0.3535533905932738], [0.0, 0.0], [0.25, 0.25], [0.0, -1.0], [0.0, 0.0], [0.9045340337332909, 0.5222329678670935], [0.12940952255126037, -0.48296291314453416], [-0.9280315156579308, -0.24866529517117336], [0.0, 0.0], [0.0, 0.0], [0.125, -0.21650635094610965], [-1.028991510855053, 1.028991510855053], [-0.6830127018922193, 0.18301270189221933], [0.0, 1.1470786693528088], [0.0, 0.0], [0.0, 0.0], [0.19115053293309867, -0.7133835008001922], [-0.32380500921818234, 1.208456746147565], [-0.3535533905932738, 0.0], [0.0, 0.0], [0.0, 0.6793662204867574], [0.7071067811865476, 0.7071067811865476], [0.0, 0.0], [-0.6432675209026769, 1.1141720290623112], [0.0, 0.0], [-0.3592106040535498, -0.6221710168382552], [-0.17075317547305482, -0.04575317547305483], [-1.0088766220048295, 0.2703276761288331], [0.8911327886790069, 0.5144957554275265], [0.0, 0.0], [0.25, 0.4330127018922193], [0.8053872662568292, 0.8053872662568292], [0.7834693012375936, -0.20992996656118923], [0.8320502943378437, -0.4803844614152614], [0.0, 0.0], [-0.2342606428329091, 0.13525044520011484], [0.0, 0.0], [-0.4785426719531785, -1.7859455653190281], [-0.5222329678670935, 0.0], [0.0, 0.0], [0.8846517369293828, 0.0], [0.22651582688023428, 0.8453685746355103], [0.06470476127563018, 0.24148145657226708], [-0.8660254037844386, 0.5], [0.0, 0.0], [0.0, -1.4552137502179978], [0.4640157578289654, -0.12433264758558668], [0.5827715174143585, 0.5827715174143585], [0.3535533905932738, -0.6123724356957945], [0.0, 0.0], [0.0, 0.0], [-0.8111071056538127, -0.8111071056538127], [0.878719774982494, 0.23545225407981715], [0.11274690420042432, 0.19528336647123581], [0.0, 0.0], [-0.5121475197315839, 0.8870655251454874], [-0.3592106040535498, 0.3592106040535498], [0.0, 0.0], [0.0, 0.125], [0.0, 0.0], [0.3692744729379982, 0.6396021490668313], [0.27383531814565776, -1.0219673202263824], [0.18831851662574017, -0.7028142720532667], [-0.6255432421712243, -1.0834726777719228], [0.0, 0.0], [0.0, -0.822226451793038], [0.25, -0.25], [1.0034188133917428, -1.0034188133917428], [0.4026936331284146, -0.6974858324629157], [0.0, 0.0], [-0.2867696673382022, -0.4966996338993914], [0.0, 0.0], [-0.4803844614152614, -0.4803844614152614], [1.364096585169425, 0.7875615306482168], [0.0, 0.0], [-1.0, 0.0], [0.13525044520011484, 0.13525044520011484], [0.9542172017479479, -0.2556817286122483], [0.0, 0.0], [0.0, 0.0], [-1.1322441186361034, 0.6537014466829248], [-0.3329797710109933, -1.2426974233056773], [0.09557526646654933, 0.3566917504000961], [-1.2851791288604195, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.16190250460909117, -0.6042283730737825], [0.6939415990644409, 0.18594109106367887], [0.5359422007578722, -0.309426373877638], [0.0, 0.0], [0.15309310892394862, -0.08838834764831845], [-0.5096121726431597, 0.13655017011280454], [0.5, 0.5], [0.5222329678670935, -0.9045340337332909], [0.0, 0.0]], 'angles': [None, None, None, -0.2916666666666667, -0.07921623859640596, -0.2880847633433276, 0.2546837315047693, 0.09721501376644517, 0.14922797527974171, 0.19454417799682433, -0.14181034565381365, -0.02856943346125496, -0.35492528379270033, -0.35391919591951404, 0.030418142909073353, -0.05740091478658807, -0.06535086964870052, 0.16890828088084772, -0.36961517866077875, -0.43257004134706106, -0.24945494456326286, -0.022338296897838974, -0.20944493804331538, -0.36106996928959184, -0.3341537341705687, -0.13909939085964712, -0.23562897171064523, -0.3981607935502861, -0.29638678953887115, 0.1663145528117181, -0.048730344177949275, -0.3091555310948387, -0.4788603355292415, -0.36046322177886236, -0.1533168173828492, 0.19616489567482215, -0.48040442579492076, -0.3641958508144076, -0.13148739834661843, -0.2916666666666667, -0.09084030644316925, -0.14864822488808255, 0.0036579935549960487, -0.20833333333333334, -0.2117893773644116, -0.4542434919766988, -0.009494391921978033, -0.004407549842710445, -0.057538187033102886, -0.42198504302561657, -0.17262731337251502, -0.028777441323595214, -0.41153974444780755, 0.02621809784594306, -0.28581664545161595, -0.3519836885356635, -0.18059036903425954, -0.2991157664725537, -0.2582965593354399, -0.27309082596773754, -0.2670062477680845, -0.4863719382152963, -0.2466292620646174, -0.45398127024284374, 0.14845704515024313, 0.013038366169625528, -0.41229214246334783, -0.4281193804536036, -0.26052717380968576, -0.2891580787456471, -0.33016019759596305, -0.11945390460060805, -0.3663223054861358, -0.11790576312867578, 0.032935531212963574, -0.43383944466004165, -0.4590977548895019, -0.020884976427506984, -0.4201749479369924, -0.20609553003598366, -0.47391131083407934, -0.38543974974281076, 0.05415196904944862, -0.34838089269999917, -0.060140409821699305, -0.12838200256097848, -0.21724575255168366, -0.31105716012328477, -0.316040037340535, -0.23406775119002513, -0.4557507732335695, -0.35191817242722134, -0.1500868516109961, -0.21767392077267755, -0.28634268315718875, 0.06790646660745875, -0.08333333333333333, 0.07523312713763196, -0.39312006770514624, -0.1292677510164815], 'char_orbit_index': 16, 'conrey_index': 407, 'dual_conrey_index': 293, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 5, 'embedding_root_imag': -0.25881904510252074, 'embedding_root_real': 0.9659258262890683, 'hecke_orbit': 7, 'hecke_orbit_code': 27022628589928898, 'label': '450.2.p.g.407.1', 'level': 450, 'weight': 2}
  • mf_newspacesShow schema
    {'Nk2': 1800, 'analytic_conductor': 3.593268090957617, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 12, 'char_parity': 1, 'char_values': [450, 12, [101, 127], [10, 3]], 'conrey_index': 257, 'cusp_dim': 312, 'dim': 72, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1030825705922, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 16], 'label': '450.2.p', 'level': 450, '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, 3, 5], 'level_radical': 30, 'mf_dim': 408, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 12, 'relative_dim': 18, 'sturm_bound': 180, 'trace_bound': 14, 'trace_display': [0, -4, 0, 0], 'traces': [72, 0, -4, 0, 0, 16, 0, 0, 0, 0, 48, 4, 0, 0, 0, 36, 0, 8, 0, 0, 16, 0, 24, 0, 0, 0, 8, 0, 0, 0, 0, 0, -16, 0, 0, -32, 24, -36, 0, 0, -72, -44, 0, 0, 0, 48, -48, -8, 0, 0, -88, 0, 0, 0, 0, -24, -52, -12, 0, 0, 24, 0, 80, 0, 0, -44, 12, 36, 0, 0, 0, 16, 0, 0, 0, 0, 48, 24, 0, 0, -112, 48, -60, 0, 0, -36, 56, 0, 0, 0, -96, 24, -52, 0, 0, 8, 36, 0, 0, 0, 96, 8, 24, 0, 0, 0, 0, -4, 0, 0, -96, 0, 24, 0, 0, 0, 24, -24, 0, 0, -12, -60, -76, 0, 0, -56, -96, 0, 0, 0, -144, -56, -36, 0, 0, 0, -24, -28, 0, 0, -96, -24, 0, 0, 0, -144, -16, -12, 0, 0, -48, 0, 52, 0, 0, -48, -36, 60, 0, 0, 0, 80, -48, 0, 0, 24, 72, 40, 0, 0, 68, 0, 72, 0, 0, 48, 92, 0, 0, 0, 0, 96, 48, 0, 0, 208, -24, 0, 0, 0, 192, -4, -24, 0, 0, -12, 0, -40, 0, 0, 340, 24, -12, 0, 0, 0, -88, 0, 0, 0, 24, -12, -8, 0, 0, 40, 24, -60, 0, 0, 384, -120, 96, 0, 0, 0, -168, 20, 0, 0, 208, 12, 0, 0, 0, 36, 0, 60, 0, 0, -48, 0, -44, 0, 0, 100, 0, -36, 0, 0, 0, 16, 96, 0, 0, -36, 60, 96, 0, 0, 296, -72, 24, 0, 0, 240, 28, 12, 0, 0, -96, 36, -48, 0, 0, -32, -60, 0, 0, 0, 24, 60, -36, 0, 0, -48, 0, -8, 0, 0, -72, 0, -228, 0, 0, 0, -112, 72, 0, 0, 24, -120, -104, 0, 0, -52, 120, -48, 0, 0, -312, 0, -72, 0, 0, 96, 0, -8, 0, 0, -172, 24, 0, 0, 0, -240, 88, -24, 0, 0, 48, 0, -60, 0, 0, 8, 48, 24, 0, 0, 0, 68, 96, 0, 0, 0, 96, -16, 0, 0, 288, 0, 240, 0, 0, 24, 128, -24, 0, 0, -264, 132, 228, 0, 0, 24, 48, 0, 0, 0, -552, 40, 36, 0, 0, -24, 0, -100, 0, 0, -224, -12, -24, 0, 0, 0, -48, -72, 0, 0, -144, -72, 44, 0, 0, -128, -216, -36, 0, 0, 0, -56, -24, 0, 0, -336, 24, -76, 0, 0, 72, -24, 0, 0, 0, 0, -32, -48, 0, 0, -192, 0, -24, 0, 0, 32, -156, 108, 0, 0, 0, 4, -168, 0, 0, 24, -12, 104, 0, 0, -160, -48, 12, 0, 0, 168, 72, 0, 0, 0, 120, 24, -40, 0, 0, 28, -36, 0, 0, 0, 120, 40, 48, 0, 0, 12, 0, -96, 0, 0, 216, -12, -168, 0, 0, 0, -44, 48, 0, 0, 192, -144, -100, 0, 0, -112, 192, 60, 0, 0, -444, -32, 84, 0, 0, 0, 48, 0, 0, 0, -512, 84, 0, 0, 0, -144, -40, 48, 0, 0, 72, 0, -8, 0, 0, -120, 120, 12, 0, 0, 0, 56, -24, 0, 0, -96, 24, 40, 0, 0, -88, -72, 168, 0, 0, -96, 112, 60, 0, 0, 48, 84, 208, 0, 0, 192, -36, 0, 0, 0, 144, -44, 12, 0, 0, 0, 0, -52, 0, 0, -460, 0, -108, 0, 0, 0, -232, 48, 0, 0, -180, -24, 160, 0, 0, -40, 168, -48, 0, 0, 168, -84, -48, 0, 0, 192, -156, 32, 0, 0, -24, 12, 0, 0, 0, 72, -180, -48, 0, 0, 240, 0, -40, 0, 0, -352, 168, -36, 0, 0, 0, 32, 168, 0, 0, 0, -72, -16, 0, 0, -232, 168, -168, 0, 0, 84, -112, -36, 0, 0, 480, 60, -128, 0, 0, 272, 72, 0, 0, 0, 396, 56, -84, 0, 0, 36, 0, 32, 0, 0, 568, -24, -36, 0, 0, 0, -40, -192, 0, 0, 264, -60, -96, 0, 0, 432, -168, -72, 0, 0, 600, -4, -48, 0, 0, -120, 48, 16, 0, 0, 208, -144, 0, 0, 0, 672, 240, 0, 0, 0, 240, 0, 128, 0, 0, 184, -132, 108, 0, 0, 0, 24, -288, 0, 0, 132, 192, -40, 0, 0, 552, 0, 228, 0, 0, 216, 48, -12, 0, 0, 624, -24, 104, 0, 0, -336, 72, 0, 0, 0, 672, 96, -12, 0, 0, 24, 0, 8, 0, 0, -96, -36, 288, 0, 0, 0, 108, 48, 0, 0, 168, -48, 156, 0, 0, -8, -96, 12, 0, 0, -720, -32, 84, 0, 0, 288, 0, -4, 0, 0, -272, 24, 0, 0, 0, -228, -192, 156, 0, 0, 144, 0, 16, 0, 0, 16, 24, 24, 0, 0, 0, 40, -96, 0, 0, 24, -72, 20, 0, 0, -92, -96, -144, 0, 0, -96, 8, 24, 0, 0, -120, -12, -300, 0, 0, -92, -96, 0, 0, 0, -1056, 0, -72, 0, 0, -192, 0, 56, 0, 0, -336, 0, 48, 0, 0, 0, 116, 144, 0, 0, -396, 72, -192, 0, 0, -600, 96, 12, 0, 0, -24, -40, -96, 0, 0, -48, -24, -72, 0, 0, 280, 60, 0, 0, 0, -144, -28, -12, 0, 0, 0, 0, 228, 0, 0, -44, 72, -48, 0, 0, 0, 32, 264, 0, 0, -24, 24, 60, 0, 0, -724, 192, -60, 0, 0, -24, 0, -144, 0, 0, -384, -48, 96, 0, 0, -104, 84, 0, 0, 0, 192, -32, -48, 0, 0, -24, 0, 76, 0, 0, 480, -36, 96, 0, 0, 0, -88, -24, 0, 0, -408, 156, -92, 0, 0, -48, 48, 36, 0, 0, -408, 12, -24, 0, 0, -288, -348, 108, 0, 0, -360, -60, 0, 0, 0, -96, -184, -84, 0, 0, -444, 0, -116, 0, 0, -248, -144, -120, 0, 0, 0, -88, -144, 0, 0, -24, -168, -128, 0, 0, -440, -96, -360, 0, 0, -792, -228, 0, 0, 0, 192, -36, -208, 0, 0, -156, -12, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
  • mf_twists_ccShow schema
    • id: 45928515
      {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 407, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.407.1', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
    • id: 45928516
      {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 1007, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.1007.2', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
    • id: 45928517
      {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 443, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.443.2', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
    • id: 45928518
      {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 443, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.443.1', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
    • id: 45928519
      {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 407, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.407.2', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
    • id: 45928520
      {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 557, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.557.2', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
    • id: 45928521
      {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 257, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.257.1', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
    • id: 45928522
      {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.143.1', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
    • id: 45928523
      {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.143.2', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
    • id: 45928524
      {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 1007, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.1007.1', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
    • id: 45928525
      {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 557, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.557.1', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
    • id: 45928526
      {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 1043, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.1043.2', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
    • id: 45928527
      {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 257, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.257.2', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
    • id: 45928528
      {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 1043, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799924550, 'target_is_minimal': False, 'target_label': '1350.2.q.c.1043.1', 'target_level': 1350, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
    • id: 45928529
      {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 293, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.293.1', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
    • id: 45928530
      {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 407, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022628589928898, 'source_is_minimal': True, 'source_label': '450.2.p.g.407.1', 'source_level': 450, 'target_conrey_index': 293, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022628589928898, 'target_is_minimal': True, 'target_label': '450.2.p.g.293.2', 'target_level': 450, 'twist_class_label': '450.2.p.g.257.1', 'twist_class_level': 450, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
  • mf_hecke_charpolysShow schema
    • id: 909500
      {'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 2}
    • id: 909501
      {'charpoly_factorization': [[[9, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 3}
    • id: 909502
      {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022628589928898, 'p': 5}
    • id: 909503
      {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022628589928898, 'p': 7}
    • id: 909504
      {'charpoly_factorization': [[[12, -6, 1], 4]], 'hecke_orbit_code': 27022628589928898, 'p': 11}
    • id: 909505
      {'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 13}
    • id: 909506
      {'charpoly_factorization': [[[1296, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 17}
    • id: 909507
      {'charpoly_factorization': [[[25, 0, 1], 4]], 'hecke_orbit_code': 27022628589928898, 'p': 19}
    • id: 909508
      {'charpoly_factorization': [[[1679616, 0, 0, 0, -1296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 23}
    • id: 909509
      {'charpoly_factorization': [[[2304, 0, 48, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 29}
    • id: 909510
      {'charpoly_factorization': [[[16, 4, 1], 4]], 'hecke_orbit_code': 27022628589928898, 'p': 31}
    • id: 909511
      {'charpoly_factorization': [[[2304, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 37}
    • id: 909512
      {'charpoly_factorization': [[[3, 3, 1], 4]], 'hecke_orbit_code': 27022628589928898, 'p': 41}
    • id: 909513
      {'charpoly_factorization': [[[466948881, 0, 0, 0, -21609, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 43}
    • id: 909514
      {'charpoly_factorization': [[[1679616, 0, 0, 0, -1296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 47}
    • id: 909515
      {'charpoly_factorization': [[[1296, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 53}
    • id: 909516
      {'charpoly_factorization': [[[9, 0, 3, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 59}
    • id: 909517
      {'charpoly_factorization': [[[64, 8, 1], 4]], 'hecke_orbit_code': 27022628589928898, 'p': 61}
    • id: 909518
      {'charpoly_factorization': [[[31640625, 0, 0, 0, -5625, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 67}
    • id: 909519
      {'charpoly_factorization': [[[48, 0, 1], 4]], 'hecke_orbit_code': 27022628589928898, 'p': 71}
    • id: 909520
      {'charpoly_factorization': [[[21609, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 73}
    • id: 909521
      {'charpoly_factorization': [[[38416, 0, -196, 0, 1], 2]], 'hecke_orbit_code': 27022628589928898, 'p': 79}
    • id: 909522
      {'charpoly_factorization': [[[43046721, 0, 0, 0, -6561, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 83}
    • id: 909523
      {'charpoly_factorization': [[[-147, 0, 1], 4]], 'hecke_orbit_code': 27022628589928898, 'p': 89}
    • id: 909524
      {'charpoly_factorization': [[[531441, 0, 0, 0, -729, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022628589928898, 'p': 97}
  • mf_newform_portraitsShow schema
    {'char_orbit_index': 16, 'hecke_orbit': 7, 'label': '450.2.p.g', 'level': 450, 'portrait': 'data:image/png;base64,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', 'weight': 2}
  • mf_hecke_tracesShow schema
    Showing the first 100 of 258 matching records in this table.
    • id: 47641741
      {'hecke_orbit_code': 27022628589928898, 'n': 1, 'trace_an': 8}
    • id: 47641742
      {'hecke_orbit_code': 27022628589928898, 'n': 2, 'trace_an': 0}
    • id: 47641743
      {'hecke_orbit_code': 27022628589928898, 'n': 3, 'trace_an': 0}
    • id: 47641744
      {'hecke_orbit_code': 27022628589928898, 'n': 4, 'trace_an': 0}
    • id: 47641745
      {'hecke_orbit_code': 27022628589928898, 'n': 5, 'trace_an': 0}
    • id: 47641746
      {'hecke_orbit_code': 27022628589928898, 'n': 6, 'trace_an': 12}
    • id: 47641747
      {'hecke_orbit_code': 27022628589928898, 'n': 7, 'trace_an': 0}
    • id: 47641748
      {'hecke_orbit_code': 27022628589928898, 'n': 8, 'trace_an': 0}
    • id: 47641749
      {'hecke_orbit_code': 27022628589928898, 'n': 9, 'trace_an': 0}
    • id: 47641750
      {'hecke_orbit_code': 27022628589928898, 'n': 10, 'trace_an': 0}
    • id: 47641751
      {'hecke_orbit_code': 27022628589928898, 'n': 11, 'trace_an': 24}
    • id: 47641752
      {'hecke_orbit_code': 27022628589928898, 'n': 12, 'trace_an': 0}
    • id: 47641753
      {'hecke_orbit_code': 27022628589928898, 'n': 13, 'trace_an': 0}
    • id: 47641754
      {'hecke_orbit_code': 27022628589928898, 'n': 14, 'trace_an': 0}
    • id: 47641755
      {'hecke_orbit_code': 27022628589928898, 'n': 15, 'trace_an': 0}
    • id: 47641756
      {'hecke_orbit_code': 27022628589928898, 'n': 16, 'trace_an': 4}
    • id: 47641757
      {'hecke_orbit_code': 27022628589928898, 'n': 17, 'trace_an': 0}
    • id: 47641758
      {'hecke_orbit_code': 27022628589928898, 'n': 18, 'trace_an': 0}
    • id: 47641759
      {'hecke_orbit_code': 27022628589928898, 'n': 19, 'trace_an': 0}
    • id: 47641760
      {'hecke_orbit_code': 27022628589928898, 'n': 20, 'trace_an': 0}
    • id: 47641761
      {'hecke_orbit_code': 27022628589928898, 'n': 21, 'trace_an': 0}
    • id: 47641762
      {'hecke_orbit_code': 27022628589928898, 'n': 22, 'trace_an': 0}
    • id: 47641763
      {'hecke_orbit_code': 27022628589928898, 'n': 23, 'trace_an': 0}
    • id: 47641764
      {'hecke_orbit_code': 27022628589928898, 'n': 24, 'trace_an': 0}
    • id: 47641765
      {'hecke_orbit_code': 27022628589928898, 'n': 25, 'trace_an': 0}
    • id: 47641766
      {'hecke_orbit_code': 27022628589928898, 'n': 26, 'trace_an': 0}
    • id: 47641767
      {'hecke_orbit_code': 27022628589928898, 'n': 27, 'trace_an': 0}
    • id: 47641768
      {'hecke_orbit_code': 27022628589928898, 'n': 28, 'trace_an': 0}
    • id: 47641769
      {'hecke_orbit_code': 27022628589928898, 'n': 29, 'trace_an': 0}
    • id: 47641770
      {'hecke_orbit_code': 27022628589928898, 'n': 30, 'trace_an': 0}
    • id: 47641771
      {'hecke_orbit_code': 27022628589928898, 'n': 31, 'trace_an': -16}
    • id: 47641772
      {'hecke_orbit_code': 27022628589928898, 'n': 32, 'trace_an': 0}
    • id: 47641773
      {'hecke_orbit_code': 27022628589928898, 'n': 33, 'trace_an': 0}
    • id: 47641774
      {'hecke_orbit_code': 27022628589928898, 'n': 34, 'trace_an': 0}
    • id: 47641775
      {'hecke_orbit_code': 27022628589928898, 'n': 35, 'trace_an': 0}
    • id: 47641776
      {'hecke_orbit_code': 27022628589928898, 'n': 36, 'trace_an': 12}
    • id: 47641777
      {'hecke_orbit_code': 27022628589928898, 'n': 37, 'trace_an': 0}
    • id: 47641778
      {'hecke_orbit_code': 27022628589928898, 'n': 38, 'trace_an': 0}
    • id: 47641779
      {'hecke_orbit_code': 27022628589928898, 'n': 39, 'trace_an': 0}
    • id: 47641780
      {'hecke_orbit_code': 27022628589928898, 'n': 40, 'trace_an': 0}
    • id: 47641781
      {'hecke_orbit_code': 27022628589928898, 'n': 41, 'trace_an': -12}
    • id: 47641782
      {'hecke_orbit_code': 27022628589928898, 'n': 42, 'trace_an': 0}
    • id: 47641783
      {'hecke_orbit_code': 27022628589928898, 'n': 43, 'trace_an': 0}
    • id: 47641784
      {'hecke_orbit_code': 27022628589928898, 'n': 44, 'trace_an': 0}
    • id: 47641785
      {'hecke_orbit_code': 27022628589928898, 'n': 45, 'trace_an': 0}
    • id: 47641786
      {'hecke_orbit_code': 27022628589928898, 'n': 46, 'trace_an': 48}
    • id: 47641787
      {'hecke_orbit_code': 27022628589928898, 'n': 47, 'trace_an': 0}
    • id: 47641788
      {'hecke_orbit_code': 27022628589928898, 'n': 48, 'trace_an': 0}
    • id: 47641789
      {'hecke_orbit_code': 27022628589928898, 'n': 49, 'trace_an': 0}
    • id: 47641790
      {'hecke_orbit_code': 27022628589928898, 'n': 50, 'trace_an': 0}
    • id: 47641791
      {'hecke_orbit_code': 27022628589928898, 'n': 51, 'trace_an': 0}
    • id: 47641792
      {'hecke_orbit_code': 27022628589928898, 'n': 52, 'trace_an': 0}
    • id: 47641793
      {'hecke_orbit_code': 27022628589928898, 'n': 53, 'trace_an': 0}
    • id: 47641794
      {'hecke_orbit_code': 27022628589928898, 'n': 54, 'trace_an': 0}
    • id: 47641795
      {'hecke_orbit_code': 27022628589928898, 'n': 55, 'trace_an': 0}
    • id: 47641796
      {'hecke_orbit_code': 27022628589928898, 'n': 56, 'trace_an': 0}
    • id: 47641797
      {'hecke_orbit_code': 27022628589928898, 'n': 57, 'trace_an': 0}
    • id: 47641798
      {'hecke_orbit_code': 27022628589928898, 'n': 58, 'trace_an': 0}
    • id: 47641799
      {'hecke_orbit_code': 27022628589928898, 'n': 59, 'trace_an': 0}
    • id: 47641800
      {'hecke_orbit_code': 27022628589928898, 'n': 60, 'trace_an': 0}
    • id: 47641801
      {'hecke_orbit_code': 27022628589928898, 'n': 61, 'trace_an': -32}
    • id: 47641802
      {'hecke_orbit_code': 27022628589928898, 'n': 62, 'trace_an': 0}
    • id: 47641803
      {'hecke_orbit_code': 27022628589928898, 'n': 63, 'trace_an': 0}
    • id: 47641804
      {'hecke_orbit_code': 27022628589928898, 'n': 64, 'trace_an': 0}
    • id: 47641805
      {'hecke_orbit_code': 27022628589928898, 'n': 65, 'trace_an': 0}
    • id: 47641806
      {'hecke_orbit_code': 27022628589928898, 'n': 66, 'trace_an': 24}
    • id: 47641807
      {'hecke_orbit_code': 27022628589928898, 'n': 67, 'trace_an': 0}
    • id: 47641808
      {'hecke_orbit_code': 27022628589928898, 'n': 68, 'trace_an': 0}
    • id: 47641809
      {'hecke_orbit_code': 27022628589928898, 'n': 69, 'trace_an': 0}
    • id: 47641810
      {'hecke_orbit_code': 27022628589928898, 'n': 70, 'trace_an': 0}
    • id: 47641811
      {'hecke_orbit_code': 27022628589928898, 'n': 71, 'trace_an': 0}
    • id: 47641812
      {'hecke_orbit_code': 27022628589928898, 'n': 72, 'trace_an': 0}
    • id: 47641813
      {'hecke_orbit_code': 27022628589928898, 'n': 73, 'trace_an': 0}
    • id: 47641814
      {'hecke_orbit_code': 27022628589928898, 'n': 74, 'trace_an': 0}
    • id: 47641815
      {'hecke_orbit_code': 27022628589928898, 'n': 75, 'trace_an': 0}
    • id: 47641816
      {'hecke_orbit_code': 27022628589928898, 'n': 76, 'trace_an': -20}
    • id: 47641817
      {'hecke_orbit_code': 27022628589928898, 'n': 77, 'trace_an': 0}
    • id: 47641818
      {'hecke_orbit_code': 27022628589928898, 'n': 78, 'trace_an': 0}
    • id: 47641819
      {'hecke_orbit_code': 27022628589928898, 'n': 79, 'trace_an': 0}
    • id: 47641820
      {'hecke_orbit_code': 27022628589928898, 'n': 80, 'trace_an': 0}
    • id: 47641821
      {'hecke_orbit_code': 27022628589928898, 'n': 81, 'trace_an': -72}
    • id: 47641822
      {'hecke_orbit_code': 27022628589928898, 'n': 82, 'trace_an': 0}
    • id: 47641823
      {'hecke_orbit_code': 27022628589928898, 'n': 83, 'trace_an': 0}
    • id: 47641824
      {'hecke_orbit_code': 27022628589928898, 'n': 84, 'trace_an': 0}
    • id: 47641825
      {'hecke_orbit_code': 27022628589928898, 'n': 85, 'trace_an': 0}
    • id: 47641826
      {'hecke_orbit_code': 27022628589928898, 'n': 86, 'trace_an': -84}
    • id: 47641827
      {'hecke_orbit_code': 27022628589928898, 'n': 87, 'trace_an': 0}
    • id: 47641828
      {'hecke_orbit_code': 27022628589928898, 'n': 88, 'trace_an': 0}
    • id: 47641829
      {'hecke_orbit_code': 27022628589928898, 'n': 89, 'trace_an': 0}
    • id: 47641830
      {'hecke_orbit_code': 27022628589928898, 'n': 90, 'trace_an': 0}
    • id: 47641831
      {'hecke_orbit_code': 27022628589928898, 'n': 91, 'trace_an': 0}
    • id: 47641832
      {'hecke_orbit_code': 27022628589928898, 'n': 92, 'trace_an': 0}
    • id: 47641833
      {'hecke_orbit_code': 27022628589928898, 'n': 93, 'trace_an': 0}
    • id: 47641834
      {'hecke_orbit_code': 27022628589928898, 'n': 94, 'trace_an': 0}
    • id: 47641835
      {'hecke_orbit_code': 27022628589928898, 'n': 95, 'trace_an': 0}
    • id: 47641836
      {'hecke_orbit_code': 27022628589928898, 'n': 96, 'trace_an': 12}
    • id: 47641837
      {'hecke_orbit_code': 27022628589928898, 'n': 97, 'trace_an': 0}
    • id: 47641838
      {'hecke_orbit_code': 27022628589928898, 'n': 98, 'trace_an': 0}
    • id: 47641839
      {'hecke_orbit_code': 27022628589928898, 'n': 99, 'trace_an': 0}
    • id: 47641840
      {'hecke_orbit_code': 27022628589928898, 'n': 100, 'trace_an': 0}