{'Lhash': '665807609734549098260007418458', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.5, 1.8660254037844386], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.9342497036489805, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [0.8660254037844386, -0.5]]]], 'bad_primes': [2, 3, 13], 'central_character': '1872.721', 'coefficient_field': 'CDF', 'conductor': 1872, 'conductor_radical': 78, 'conjugate': '2571721023156901426511509505723', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0.5, -1.8660254037844386], [-0.8660254037844386, -0.5]], [[1.0, 0], [0, 0], [0.8660254037844386, -0.5]], [[1.0, 0], [0.8660254037844386, -0.5]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [1.3660254037844386, 0.36602540378443865], [0.8660254037844386, 0.5]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [0.36602540378443865, -0.36602540378443865], [0, -1.0]], [[1.0, 0], [1.3660254037844386, -0.36602540378443865], [0.8660254037844386, -0.5]], [[1.0, 0], [0, 0], [-0.8660254037844386, 0.5]], [[1.0, 0], [-1.5, 0.8660254037844386], [0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-0.8660254037844386, -0.5]], [[1.0, 0], [-0.8660254037844386, -1.5], [-0.5, 0.8660254037844386]], [[1.0, 0], [-0.13397459621556135, -0.5], [-0.8660254037844386, 0.5]], [[1.0, 0], [0, 0], [0.8660254037844386, 0.5]], [[1.0, 0], [-1.3660254037844386, -1.3660254037844386], [0, 1.0]], [[1.0, 0], [-1.7320508075688772, 0], [1.0, 0]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 0], [0.8660254037844386, -0.5]], [[1.0, 0], [0.5, 0.13397459621556135], [0.8660254037844386, 0.5]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, -1.7320508075688772], [-1.0, 0]], [[1.0, 0], [0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [-1.3660254037844386, 1.3660254037844386], [0, -1.0]], [[1.0, 0], [0, 0], [-0.5, 0.8660254037844386]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 19454532, 'index': 0, 'label': '2-1872-13.6-c0-0-0', 'leading_term': '0.75833682143276258467674385761007', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1872/1/gc/a/721/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [0.7583368214327626, 0.6855207941889233, 0.616892360753046, 0.5490686592244487, 0.47863713448512135, 0.402447348924033, 0.3178163658743363, 0.22264467380103606, 0.11546373910658533, -0.004558058605458645, -0.13762974537167735, -0.28335941573753715, -0.4407774930146325, -0.6083605216045378, -0.7840569452996098, -0.9653173777542361, -1.1491320527292122, -1.332077848020166, -1.5103767385915179, -1.6799668752535015, -1.8365867693599665, -1.97587232558815, -2.093465724950489, -2.1851344356570612, -2.2468979372055222, -2.2751591017335775, -2.26683660681205, -2.2194942775578674, -2.1314628958563993, -2.001949792677875, -1.8311314761768416, -1.6202246605224906, -1.371531360784029, -1.0884542145470704, -0.775478881340979, -0.4381212488372579, -0.082838224299531, 0.2830979134604834, 0.6517603152069765, 1.01476084440718, 1.3634717611356797, 1.6892703437465388, 1.9837996898708194, 2.239237789262352, 2.4485660181090165, 2.6058275244501443, 2.7063656084106924, 2.747032191739798, 2.7263568501544877, 2.6446676671996285, 2.504156362071322, 2.3088817312519523, 2.0647073918931595, 1.7791720723705007, 1.4612931933463256, 1.121307135842254, 0.7703523022333308, 0.42010373210777713, 0.08237052133854003, -0.23133050873820102, -0.5102096494897467, -0.7446311216007563, -0.9265146564323201, -1.0496946179102584, -1.110220152867155, -1.106581312397077, -1.0398482720739455, -0.9137136494028598, -0.7344313931020742, -0.5106496882324841, -0.25313964101152486, 0.02557399130555792, 0.31166926542209666, 0.5905556651765101, 0.8474559427673803, 1.0680190075063893, 1.2389392189217012, 1.3485559358533015, 1.387406750974952, 1.3487085838926032, 1.2287427491790988, 1.0271232377152235, 0.7469316729826593, 0.3947075941637644, -0.019711313233276496, -0.4834979075058297, -0.9812852930628188, -1.495742888594466, -2.0082578367433768, -2.499695033808622, -2.9512043480396093, -3.345040147280874, -3.665356299528864, -3.8989395110432676, -4.035845321089631, -4.069904293723053, -3.9990708619926685, -3.825593727334166, -3.5559944508515624, -3.2008495710118954, -2.7743808568381008, -2.2938677216945447, -1.7789049165701112, -1.2505369237590651, -0.7303075303828832, -0.23926846696036141, 0.20300559436028787, 0.5793472308392844, 0.8758244467231526, 1.0824233217013048, 1.1935476488581334, 1.2083062440024759, 1.1305685610733716, 0.9687805423350306, 0.7355447288052507, 0.4469809518271387, 0.12189578081548011, -0.21920032835746162, -0.5551801671150459, -0.8654363428104777, -1.1310082951326061, -1.3356396436217866, -1.4667078000524394, -1.515973013204141, -1.4801022603906355, -1.3609343181265563, -1.1654654315792503, -0.9055496182490801, -0.5973230360102062, -0.2603771980715334, 0.08327972200171302, 0.41042151476072547, 0.6979002600531086, 0.9239710187907737, 1.0695720957869086, 1.1194885739995653, 1.0633313742006754, 0.8962725794578952, 0.6194898265880202, 0.24028763619221288, -0.228119133395689, -0.7671558821178788, -1.3537501447074463, -1.9614638087496097, -2.5618384069333833, -3.1258827244629908, -3.625622170700806, -4.035623947132163, -4.334411442561715, -4.505685673532254, -4.539280847879298, -4.431794855808485, -4.186853003071625, -3.814983666788121, -3.3331066505278297, -2.763657578990714, -2.1333933762146837, -1.471943399554559, -0.8101869320658713, -0.17854941534878274, 0.3946837807314635, 0.8849366237500885, 1.272700625026144, 1.5445990113215629, 1.6940902571498957, 1.7217651216529632, 1.6352152958045336, 1.4484775458115462, 1.181083292497403, 0.8567682915598813, 0.5019189134477262, 0.1438490407876838, -0.19098638526554348, -0.4787295078777149, -0.6996989761421161, -0.8397084469108019, -0.8910367818136447, -0.852983183685179, -0.731965786849357, -0.5411506272392764, -0.29962773341771554, -0.03118042717283044, 0.23727908538235162, 0.4775118980548558, 0.66187927742755, 0.7652709182567661, 0.7669088041643128, 0.6519065065026644, 0.41247726260219664, 0.048704880074893125, -0.43118177041552674, -1.0110587931838642, -1.667676368708871, -2.3719075364808124, -3.0904052508546047, -3.7875683021518, -4.427694649970021, -4.977186201337083, -5.406663198153471, -5.692849723864502, -5.820104367145609, -5.781491147750991, -5.579314190412946, -5.225073585397413, -4.738837246984049, -4.1480619460788954, -3.485933504218775, -2.7893288979045807, -2.096529459735377, -1.4448325814563623, -0.868217946442087, -0.3952225908569353, -0.04716694765196411, 0.16314789223838452, 0.23218183964688877, 0.1657834251243905, -0.021308572925954023, -0.3065590477860627, -0.6612547111884479, -1.0525386182007037, -1.4457236325307388, -1.8067269039669676, -2.1044576031780693, -2.312991849365208, -2.413382038087083, -2.3949718860839506, -2.2561219401203063, -2.0042908484965607, -1.6554626264948502, -1.2329563614654366, -0.7656990536550392, -0.28608140975704527, 0.1724524611106628, 0.5779096969605877, 0.9021671025716091, 1.1231267424947928, 1.2264488141936913, 1.2067303458719858, 1.0680365852067455, 0.8237375563598314, 0.4956519971472626, 0.1125512254201478, -0.2918772042000295, -0.6814653793927706, -1.0202285238526676, -1.275064929599065, -1.4182954886539687, -1.4298545523538908, -1.2989662583014536, -1.025175317680623, -0.6186462124651326, -0.09969669586154048, 0.502413263234343, 1.1513613896945363, 1.8061862967141222, 2.4240869566007643, 2.9634016010674156], 'positive_zeros': ['0.52522959371823455330462365640943', '2.12274498838654410085936731205929', '3.41331490313493533045674263923066', '4.15488802774327518410627015217270', '4.91925220794414648234771297457730', '6.18308416137420484110289741758150', '6.81794196412669508819472280441898', '7.60288144350368323813430721178681', '8.175844139649763954220857021669977', '9.333909053645469817531983297632111'], 'prelabel': '2-1872-13.6-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9665659334204679, 'root_angle': -0.32718776385096693, 'root_number': '-0.46619511025880511198384571672197 - 0.88468193107510709723517360596756*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.32718776385096693', 'prec': 67}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.52522959371823455330462365641', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.12274498838654410085936731206', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.41331490313493533045674263923', 'prec': 103}}