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'4.28597972795277125188036131090983', '4.38815158110018228542326278593551', '4.48776180496958968650406602686815', '4.70946292907760828137527104971732', '4.86137399173361902895522723887855', '4.97222295852680425058959755903660', '5.09939487394452277449941824102158', '5.19472068512857797717119603548016', '5.23459269534444572600849741679347', '5.42313398869588983997435401986863', '5.58709925526985949496278981307474', '5.84532888188395806647531687534369', '5.86188996390344157514182589717832', '5.99990796320943991407626417544611', '6.04803533508830546684026510723329', '6.14835844746175876651844696367685', '6.32538285869862024986811479092356', '6.47533034280041328471258248998357', '6.65194225880039696802627093771495', '6.75659655082519909836767914607740', '6.83366008486754876346150341081537', '6.87214967880358875786595777107156', '7.16766416883981697828943950795663', '7.27142725509410587480431443930621', '7.30055714268107584107407746458902', '7.38258184101036106601574655263762', '7.44843592533865202640194689029326', '7.51625477336167770144866301569211', '7.70969458929928381820625396329543', '8.120973690922000417254504303532165', '8.200990199030198882952536224138113', '8.245098151402001525541520375791615', '8.262434657392541449887795408427850', '8.269804930161372473796696041868390'], 'prelabel': '12-3800e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.508461923993535, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 28993968385710054, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.966082243953473213882923843641', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.02054784796983291449167355497', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.40249609117630693939587679186', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 780484390.6529279, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 3010936384000000000000, 'conductor_radical': 190, 'degree': 12, 'dirichlet_coefficients': [1, 0, -2, 0, 0, 0, -6, 0, -3, 0, -2, 0, -14, 0, 0, 0, -10, 0, 6, 0, 12, 0, -2, 0, 0, 0, 10, 0, -2, 0, 8, 0, 4, 0, 0, 0, -4, 0, 28, 0, 4, 0, -4, 0, 0, 0, -4, 0, -2, 0, 20, 0, 14, 0, 0, 0, -12, 0, -2, 0, 10, 0, 18, 0, 0, 0, -42, 0, 4, 0, -8, 0, 2, 0, 0, 0, 12, 0, -20, 0, -4, 0, -16, 0, 0, 0, 4, 0, 32, 0, 84, 0, -16, 0, 0, 0, -40, 0, 6, 0], 'euler11': [1, 2, 13, 34, 245, 368, 2322, 4048, 29645, 45254, 190333, 322102, 1771561], 'euler13': [1, 14, 105, 558, 2669, 12012, 47674, 156156, 451061, 1225926, 2998905, 5198102, 4826809], 'euler17': [1, 10, 68, 276, 1308, 6202, 30858, 105434, 378012, 1355988, 5679428, 14198570, 24137569], 'euler19': [1, -6, 15, -20, 15, -6, 1, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 2, 77, 186, 2931, 6760, 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148, -920, 10167, -50192, 403176, -1555952, 9770487, -27407720, 136681108, -229033208, 887503681], [1, 4, 100, 436, 6119, 22616, 267960, 836792, 8376911, 22084708, 187416100, 277375828, 2565726409], [1, -4, 188, -676, 16775, -50488, 876504, -2070008, 28198775, -46590596, 531243068, -463424804, 4750104241], [1, 4, 141, 712, 11185, 49420, 594874, 2125060, 20681065, 56608984, 482050941, 588033772, 6321363049], [1, 4, 243, 816, 26239, 71836, 1599386, 3376292, 57961951, 84719568, 1185762483, 917380028, 10779215329], [1, -14, 249, -2462, 28173, -220540, 1887962, -11688620, 79137957, -366535174, 1964729769, -5854736902, 22164361129], [1, 2, 89, 114, 9599, 8120, 549326, 479080, 33414119, 23413206, 1078445129, 1429848598, 42180533641], [1, -10, 233, -1710, 27173, -171840, 2075338, -10482240, 101110733, -388137510, 3226080953, -8445963010, 51520374361], [1, 42, 1067, 18970, 262101, 2890456, 26146286, 193660552, 1176571389, 5705474110, 21501246107, 56705254494, 90458382169], [1, 8, 364, 2736, 58431, 381256, 5343112, 27069176, 294550671, 979244496, 9249851884, 14433834808, 128100283921], [1, -2, 276, -1356, 33692, -238482, 2758666, -17409186, 179544668, -527507052, 7837914516, -4146143186, 151334226289], [1, 20, 590, 7996, 129599, 1270184, 14099364, 100344536, 808827359, 3942339844, 22980547790, 61541127980, 243087455521], [1, 16, 510, 6064, 105831, 961376, 11690948, 79794208, 729069759, 3467316368, 24203743710, 63024650288, 326940373369], [1, -32, 656, -9816, 119487, -1272488, 12355776, -113251432, 946456527, -6919975704, 41158910096, -178689902368, 496981290961], [1, 40, 1060, 20000, 303631, 3806872, 40585688, 369266584, 2856864079, 18253460000, 93841037860, 343493610280, 832972004929]], 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3800/2/a/z'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '12-3800e6-1.1-c1e6-0-11', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 6, 'prelabel': '12-3800e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.508461923993535, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 28993968385710054, 'z1': {'__RealLiteral__': 0, 'data': '0.966082243953473213882923843641', 'prec': 107}}
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lfunc_instances • Show schema
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