{'A10': -4, 'A2': -2, 'A3': 0, 'A4': 1, 'A5': 2, 'A6': 0, 'A7': 0, 'A8': 0, 'A9': 1, 'Lhash': '730045781296586093', 'a10': [-0.041237113402061855, 0.0], 'a2': [-0.020618556701030927, 0.0], 'a3': [0.0, 0.0], 'a4': [0.010309278350515464, 0.0], 'a5': [0.020618556701030927, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.010309278350515464, 0.0], 'algebraic': True, 'analytic_conductor': 11.337511049134452, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.500000000000000', 'prec': 50}, 'bad_lfactors': [[3, [1, 0, -1]], [23, [1, 7, 15, -23]], [859, [1, -13, 871, -859]]], 'bad_primes': [3, 23, 859], 'central_character': '177813.1', 'coefficient_field': '1.1.1.1', 'conductor': 177813, 'conductor_radical': 59271, 'degree': 4, 'euler_factors': [[1, 2, 3, 4, 4], [1, 0, -1], [1, -2, 6, -10, 25], [1, 0, -2, 0, 49], [1, 3, 2, 33, 121], [1, -5, 16, -65, 169], [1, -6, 22, -102, 289], [1, -3, 2, -57, 361], [1, 7, 15, -23], [1, 12, 74, 348, 841], [1, -4, 10, -124, 961], [1, 17, 144, 629, 1369], [1, -11, 96, -451, 1681], [1, 14, 118, 602, 1849], [1, -9, 94, -423, 2209], [1, 12, 78, 636, 2809], [1, 1, 98, 59, 3481], [1, 8, 38, 488, 3721], [1, 12, 110, 804, 4489], [1, 12, 94, 852, 5041], [1, 22, 242, 1606, 5329], [1, 2, 114, 158, 6241], [1, -27, 346, -2241, 6889], [1, 3, -76, 267, 7921], [1, -1, 28, -97, 9409]], 'gamma_factors': [[], [0, 0]], 'id': 9442276, 'index': 0, 'label': '4-177813-1.1-c1e2-0-0', 'leading_term': '1.59822294147', 'load_key': 'G2Q', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 1, 'origin': 'Genus2Curve/Q/177813/a', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.1875', 'prec': 14}, 'plot_values': [0.0, 0.3004210317457026, 0.5993508207199347, 0.868406958381224, 1.04044258450702, 1.026657419034261, 0.7689477002618252, 0.3138960448811771, -0.1336205306736725, -0.2376381700147803, 0.3199989340732647, 1.601348194592595, 3.218485375907411, 4.372276196785779, 4.231719900592798, 2.529258757937227, -0.01375078306639737, -1.872766651049537, -1.634564547505586, 0.8387354240739695, 3.905272763358642, 4.972915587550305, 2.37270700797799, -3.060141658719859, -8.164335529663242, -9.626184311863906, -6.593311040598863, -1.455941510820074, 2.120535089986235, 2.315723831800868, 0.5310838011584172, -0.3772365380469151, 0.7279231089258945, 2.024546965378446, 0.8572646345127297, -3.01981236039092, -6.757018772069642, -7.235255344264631, -4.330707946508831, -0.9100003221851584, 0.4024012573149347, -0.1475206055244026, -0.4108674988566157, 0.6241647455772881, 1.717815319744621, 1.420067329684463, 0.213296631776334, -0.2528255008768567, 0.4244222923345354, 0.9516585701639249, 0.446007843012968, -0.226024619455675, 0.02294072706555836, 0.6276887483040439, 0.3509602981806545, -0.429556156262179, -0.2773232214891392, 0.2813509643420535, -1.438362498711561, -5.993684158627596, -9.297043567512919, -7.188360544719512, -1.722611821104765, 0.6847353275187045, -1.888337473443819, -3.711774734171022, 0.2940343065106165, 6.378451269291188, 6.67550773442911, 0.5780431605247897, -4.302008757241963, -3.206678420755525, -0.2351351306916896, -0.2567543035469418, -0.5525108336993373, 3.596214381074797, 8.823473212694536, 7.196655567229843, -0.8724570489539202, -5.568552404859237, -1.689641653181908, 3.857026787728692, 2.883238114877814, -2.273854395745874, -3.9786826502268, -1.431336837279529, 0.03699975494097625, -0.941781039116476, -0.4656091255054684, 2.422843580916336, 3.750650172286378, 1.783663592556907, -0.2691154720506787, -0.1797826027200128, 0.2999886933913334, -0.1515617334452481, -0.2020713400299262, 0.5571623770420835, 0.5943532664210255, -0.0750217511248692, 0.01145052536080574, 0.2303622312481191, -0.4129139226733906, 0.8372481874376401, 6.291164874718454, 10.98772976751577, 8.286047643723752, 1.083413629215323, -1.856462820834629, 0.4072736606634512, 1.408615015348453, -0.08148943337251124, 0.1426684766973383, 0.6860912363312367, -3.100319890302411, -7.042626896115945, -3.412138486814613, 3.217335431255057, 2.042336380047698, -3.865059782001094, -2.388376106998718, 4.396471591550275, 3.024143604647075, -6.042601538592108, -8.570141890641212, -2.339138786019938, 0.4391975556551105, -2.718116714535261, -1.430084837404077, 5.322583349414639, 6.74382341526661, 1.328567963182459, -0.9107836537674188, 2.189196791304343, 2.823648498005317, -0.4168248469448693, -1.450679870508768, 0.3354149873971266, 0.6355806628533215, -0.3183398114738515, -0.1244593277592041, 0.0813395147403082, 0.02610804557036378, 2.196058474687348, 5.020871511582348, 3.943709459925728, 0.3577623709408059, -0.7811008790483521, 0.04449094176740463, -0.09448810450764838, -0.2393677417053728, 0.08419139747921497, -1.105292324022452, -1.491638435530386, 2.576914615380489, 6.326705427035817, 3.731406186376236, -0.3770429817327533, -0.0426678282225992, 0.500051176659915, -1.119112469637423], 'positive_zeros': [1.43558137450274, 1.798531437319487, 2.998963736591721, 3.5109275652279, 4.213670289393677, 5.122137665328053, 5.689403133998187, 5.909598238485106, 6.425719450232845, 7.396708597020571, 7.65248966594461, 7.971841744233216, 8.666233783204236, 8.905744655781744, 9.478401619810725, 9.74343509384724, 10.2024218425995, 10.56713114137556, 10.76267331605633, 11.70581029960234, 11.89169662368219, 12.36631027777034, 12.95326586064503, 13.53143100155532, 13.64250359266841, 13.92043191558828, 14.60543396786765, 15.04767481496754, 15.47906242739294, 16.08435272981336, 16.14553196368979, 16.53694009684904, 17.20930609968827, 17.48275159320685, 17.76411925184087, 18.05652568647182, 18.535006390416, 18.74543603364965, 19.01562235693886, 19.25468093857182], 'prelabel': '4-177813-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 1.8349719540651424, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'spectral_label': 'c1e2-0', 'st_group': 'USp(4)', 'trace_hash': 730045781296586093, 'z1': {'__RealLiteral__': 0, 'data': '1.4355813745', 'prec': 37}, 'z2': {'__RealLiteral__': 0, 'data': '1.79853143732', 'prec': 40}, 'z3': {'__RealLiteral__': 0, 'data': '2.99896373659', 'prec': 40}}