Formats: - HTML - YAML - JSON - 2026-03-16T08:35:02.935307
Query: /api/lfunc_lfunctions/?_offset=0
Show schema

{'A10': 0, 'A2': 0, 'A3': -1, 'A4': -1, 'A5': 0, 'A6': 0, 'A7': -6, 'A8': 0, 'A9': 0, 'Lhash': '618186515241056989', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.010309278350515464, 0.0], 'a4': [-0.010309278350515464, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.061855670103092786, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'algebraic': True, 'analytic_conductor': 0.5797775639001624, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.500000000000000', 'prec': 57}, 'bad_lfactors': [[3, [1, 1, 1, -3]], [7, [1, 6, 12, 7]], [433, [1, -25, 407, 433]]], 'bad_primes': [3, 7, 433], 'central_character': '9093.1', 'coefficient_field': '1.1.1.1', 'conductor': 9093, 'conductor_radical': 9093, 'degree': 4, 'euler_factors': [[1, 0, 1, 0, 4], [1, 1, 1, -3], [1, 0, 2, 0, 25], [1, 6, 12, 7], [1, -2, 18, -22, 121], [1, 9, 44, 117, 169], [1, -5, 24, -85, 289], [1, 0, 10, 0, 361], [1, 0, 34, 0, 529], [1, 0, 10, 0, 841], [1, -3, -2, -93, 961], [1, 7, 80, 259, 1369], [1, 1, 52, 41, 1681], [1, 7, 34, 301, 1849], [1, -3, -34, -141, 2209], [1, 1, 28, 53, 2809], [1, -4, -26, -236, 3481], [1, 10, 102, 610, 3721], [1, -5, 10, -335, 4489], [1, 3, 74, 213, 5041], [1, 0, 34, 0, 5329], [1, 6, 62, 474, 6241], [1, 5, 82, 415, 6889], [1, -6, 38, -534, 7921], [1, 12, 174, 1164, 9409]], 'gamma_factors': [[], [0, 0]], 'id': 9400961, 'index': 0, 'label': '4-9093-1.1-c1e2-0-0', 'leading_term': '0.881869076875', 'load_key': 'G2Q', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 1, 'origin': 'Genus2Curve/Q/9093/a', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.1875', 'prec': 20}, 'plot_values': [0.0, 0.1709241134160626, 0.3747770483137172, 0.641551119160248, 0.993784171334039, 1.439556899020469, 1.963461330103472, 2.517906817809925, 3.019130049674772, 3.353446489650195, 3.39837114536992, 3.05917413640853, 2.314187040044876, 1.253619286558043, 0.09083477113688528, -0.8728403183857003, -1.334963063767434, -1.111538524845757, -0.244436393736484, 0.9612920420081765, 2.01389721196079, 2.422957927564397, 1.933229326241608, 0.6901497653379153, -0.7733683008048046, -1.765368396690864, -1.793959085319433, -0.8690067673856635, 0.4513105108388242, 1.346129984197205, 1.221717357221441, 0.111242676335185, -1.304668711923179, -2.127894276645413, -1.875118622106554, -0.8657397570045485, -0.02689736191755077, -0.1779292702502597, -1.290714010071569, -2.337952593978512, -1.970137419604632, 0.3881736766289336, 3.864437013927456, 6.525574260634133, 6.679839318702008, 4.154537773391231, 0.5067391267022863, -2.092637282011989, -2.4596685830008, -1.170199687582245, 0.1480665649673933, 0.3555315253105841, -0.2570202755932426, -0.5177174248050064, 0.1395449686369079, 0.8012220088403247, -0.1545513323150845, -3.268359980170857, -7.004928059249932, -8.763978976046438, -7.138558330696716, -3.26773094577626, 0.137457091490632, 1.22455967425276, 0.4839837267504663, -0.1794355808296915, 0.2938573577329967, 1.048858622475501, 0.6151711086760306, -0.9922514518623533, -1.966214732243902, -0.7550684090505573, 1.869821760290605, 3.358430376809921, 2.224817646489958, -0.0320033738553897, -0.4103748475188769, 2.119472582689802, 5.149654966128435, 5.335641855681792, 2.201545437011726, -1.173875335378574, -1.538613852234296, 0.9416701642883939, 3.070689142327431, 2.445673449159987, 0.0721394899846853, -1.266051899292353, -0.5726532377463746, 0.469496966516023, 0.2035146080796094, -0.5992208439314956, -0.03869910605144098, 1.743547578965744, 2.187161548680883, -0.3112565991713864, -3.72445917692409, -4.400426959451811, -1.525391715462661, 1.790670538887456, 2.383138531828776, 0.7771605100077678, -0.1281956929070745, 0.6348305021809695, 1.032467564227078, -0.3479798703709919, -1.590085701436021, -0.2136903729082565, 2.237630195581087, 0.9819565160737989, -5.735021966185421, -13.10411170384848, -14.47085391015086, -8.912084977992684, -2.059637626248081, 0.7085409297113656, -0.2566658895079749, -1.172954604365087, -0.4784848042944614, 0.2041729058218256, -0.1447074123578274, -0.22039704077564, 0.8033635590962241, 1.369087519127124, 0.3457272066664697, -0.1057213306926739, 2.702523867511596, 7.029806492474649, 7.791107059842569, 3.389486370181089, -1.517198435158604, -2.074741937804774, 0.304022726024843, 0.5905742732376333, -2.123215756420773, -3.56210631708899, -1.288350680328173, 1.357812675654585, 0.5901710438567326, -1.809659728874764, -1.449496688538692, 1.544168226815993, 2.74382132948052, 0.548787579634026, -1.432750299646952, -0.5099222842259123, 0.7489583319992955, -0.8033891038128923, -3.129987031219867, -2.05647864730281, 1.727073282884891, 3.384671279296658, 1.328306368137549, -0.7696313831947241, -0.2347264888605913, 0.8535711471464951, 0.1935137333796051, -0.6454937255234743, 0.1857206550950164, 0.8575559346941435, -0.1319826729028196], 'positive_zeros': [2.640361497299616, 3.415128867267683, 4.399042099570222, 5.185044321150515, 5.827115855268752, 6.762885212358039, 6.876776624142003, 7.664047076938595, 8.653296232335704, 9.345408939554543, 9.679016655007178, 10.09631318569273, 10.48568990980548, 11.61444645369818, 12.10258053467603, 12.30440642493011, 12.82933922862675, 13.36972555668228, 14.05913549328346, 14.29773189039085, 15.1095313800031, 15.50198328894138, 16.13100358512903, 16.58534441579656, 16.91650555498886, 17.25489411370377, 17.79594129620037, 18.45097302896811, 19.05118319737447, 19.18719719627512, 19.65207049571728], 'prelabel': '4-9093-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 0.8726002865734298, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'spectral_label': 'c1e2-0', 'st_group': 'USp(4)', 'trace_hash': 618186515241056989, 'z1': {'__RealLiteral__': 0, 'data': '2.6403614973', 'prec': 40}, 'z2': {'__RealLiteral__': 0, 'data': '3.41512886727', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '4.39904209957', 'prec': 44}}