Properties

Label 539.2.q.g.422.3
Level 539
Weight 2
Character 539.422
Analytic conductor 4.304
Analytic rank 0
Dimension 32
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 539 = 7^{2} \cdot 11 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 539.q (of order \(15\), degree \(8\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.30393666895\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(4\) over \(\Q(\zeta_{15})\)
Coefficient ring index: multiple of None
Twist minimal: no (minimal twist has level 77)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 422.3
Character \(\chi\) = 539.422
Dual form 539.2.q.g.410.3

$q$-expansion

\(f(q)\) \(=\) \(q+(1.01812 - 0.453294i) q^{2} +(2.79635 - 0.594382i) q^{3} +(-0.507177 + 0.563277i) q^{4} +(-0.361259 - 3.43715i) q^{5} +(2.57757 - 1.87272i) q^{6} +(-0.949813 + 2.92322i) q^{8} +(4.72563 - 2.10398i) q^{9} +O(q^{10})\) \(q+(1.01812 - 0.453294i) q^{2} +(2.79635 - 0.594382i) q^{3} +(-0.507177 + 0.563277i) q^{4} +(-0.361259 - 3.43715i) q^{5} +(2.57757 - 1.87272i) q^{6} +(-0.949813 + 2.92322i) q^{8} +(4.72563 - 2.10398i) q^{9} +(-1.92584 - 3.33566i) q^{10} +(-1.73896 - 2.82418i) q^{11} +(-1.08344 + 1.87657i) q^{12} +(1.66629 + 1.21063i) q^{13} +(-3.05318 - 9.39672i) q^{15} +(0.199604 + 1.89910i) q^{16} +(1.76655 + 0.786518i) q^{17} +(3.85751 - 4.28420i) q^{18} +(1.08597 + 1.20609i) q^{19} +(2.11929 + 1.53975i) q^{20} +(-3.05065 - 2.08708i) q^{22} +(0.403568 - 0.699000i) q^{23} +(-0.918495 + 8.73890i) q^{24} +(-6.79272 + 1.44384i) q^{25} +(2.24525 + 0.477243i) q^{26} +(5.02542 - 3.65118i) q^{27} +(2.46400 + 7.58342i) q^{29} +(-7.36797 - 8.18296i) q^{30} +(-0.0824123 + 0.784101i) q^{31} +(-2.00959 - 3.48071i) q^{32} +(-6.54139 - 6.86378i) q^{33} +2.15508 q^{34} +(-1.21160 + 3.72893i) q^{36} +(-9.84189 - 2.09196i) q^{37} +(1.65236 + 0.735679i) q^{38} +(5.37911 + 2.39494i) q^{39} +(10.3907 + 2.20861i) q^{40} +(-0.657011 + 2.02207i) q^{41} +3.08043 q^{43} +(2.47276 + 0.452841i) q^{44} +(-8.93887 - 15.4826i) q^{45} +(0.0940260 - 0.894598i) q^{46} +(5.06286 + 5.62287i) q^{47} +(1.68695 + 5.19190i) q^{48} +(-6.26129 + 4.54910i) q^{50} +(5.40737 + 1.14937i) q^{51} +(-1.52703 + 0.324580i) q^{52} +(-1.13125 + 10.7632i) q^{53} +(3.46140 - 5.99532i) q^{54} +(-9.07891 + 6.99733i) q^{55} +(3.75363 + 2.72717i) q^{57} +(5.94616 + 6.60388i) q^{58} +(-2.20588 + 2.44988i) q^{59} +(6.84146 + 3.04602i) q^{60} +(0.112538 + 1.07073i) q^{61} +(0.271523 + 0.835662i) q^{62} +(-6.71351 - 4.87765i) q^{64} +(3.55916 - 6.16465i) q^{65} +(-9.77121 - 4.02295i) q^{66} +(-1.20157 - 2.08118i) q^{67} +(-1.33898 + 0.596153i) q^{68} +(0.713042 - 2.19452i) q^{69} +(2.57963 - 1.87421i) q^{71} +(1.66196 + 15.8124i) q^{72} +(0.820539 - 0.911300i) q^{73} +(-10.9685 + 2.33142i) q^{74} +(-18.1366 + 8.07494i) q^{75} -1.23015 q^{76} +6.56217 q^{78} +(-8.66208 + 3.85660i) q^{79} +(6.45538 - 1.37213i) q^{80} +(1.49869 - 1.66447i) q^{81} +(0.247681 + 2.35652i) q^{82} +(13.0004 - 9.44536i) q^{83} +(2.06520 - 6.35602i) q^{85} +(3.13623 - 1.39634i) q^{86} +(11.3976 + 19.7413i) q^{87} +(9.90740 - 2.40094i) q^{88} +(2.21915 - 3.84368i) q^{89} +(-16.1190 - 11.7111i) q^{90} +(0.189050 + 0.581837i) q^{92} +(0.235602 + 2.24160i) q^{93} +(7.70339 + 3.42977i) q^{94} +(3.75320 - 4.16836i) q^{95} +(-7.68837 - 8.53880i) q^{96} +(-5.23278 - 3.80184i) q^{97} +(-14.1597 - 9.68727i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q + 3q^{2} + 2q^{3} + 11q^{4} + 5q^{5} + 6q^{6} - 10q^{8} + 12q^{9} + O(q^{10}) \) \( 32q + 3q^{2} + 2q^{3} + 11q^{4} + 5q^{5} + 6q^{6} - 10q^{8} + 12q^{9} - 12q^{10} + 3q^{11} - 18q^{12} - 14q^{13} - 36q^{15} - 17q^{16} + 5q^{17} - 11q^{18} - 19q^{19} + 2q^{20} - 66q^{22} - 32q^{23} + 35q^{24} - 7q^{25} + 27q^{26} + 20q^{27} + 6q^{29} + 2q^{30} + 7q^{31} - 32q^{32} + 26q^{33} - 48q^{34} + 104q^{36} - 4q^{37} + 5q^{38} - 11q^{39} + 10q^{40} - 20q^{41} - 16q^{43} + 38q^{44} - 70q^{45} + 42q^{46} + 23q^{47} - 72q^{48} + 104q^{50} + 29q^{51} - 33q^{52} - 4q^{53} - 60q^{54} - 24q^{55} - 22q^{57} - 20q^{58} - 17q^{59} + 30q^{60} + 7q^{61} + 158q^{62} + 14q^{64} + 8q^{65} - 8q^{66} + 38q^{67} + 2q^{68} + 20q^{69} - 28q^{71} + 35q^{73} + 29q^{74} - 9q^{75} + 104q^{76} - 116q^{78} - 15q^{79} + 87q^{80} + 14q^{81} - 19q^{82} + 10q^{83} + 12q^{85} + 52q^{86} + 72q^{87} - 55q^{88} - 74q^{89} - 28q^{90} - 110q^{92} - 32q^{93} + 24q^{94} - 32q^{95} + 42q^{96} + 40q^{97} + 32q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(442\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.01812 0.453294i 0.719917 0.320528i −0.0138735 0.999904i \(-0.504416\pi\)
0.733790 + 0.679376i \(0.237750\pi\)
\(3\) 2.79635 0.594382i 1.61447 0.343166i 0.689820 0.723981i \(-0.257690\pi\)
0.924651 + 0.380815i \(0.124356\pi\)
\(4\) −0.507177 + 0.563277i −0.253589 + 0.281639i
\(5\) −0.361259 3.43715i −0.161560 1.53714i −0.711950 0.702230i \(-0.752188\pi\)
0.550390 0.834908i \(-0.314479\pi\)
\(6\) 2.57757 1.87272i 1.05229 0.764534i
\(7\) 0 0
\(8\) −0.949813 + 2.92322i −0.335810 + 1.03352i
\(9\) 4.72563 2.10398i 1.57521 0.701328i
\(10\) −1.92584 3.33566i −0.609005 1.05483i
\(11\) −1.73896 2.82418i −0.524318 0.851523i
\(12\) −1.08344 + 1.87657i −0.312762 + 0.541720i
\(13\) 1.66629 + 1.21063i 0.462147 + 0.335769i 0.794373 0.607430i \(-0.207800\pi\)
−0.332226 + 0.943200i \(0.607800\pi\)
\(14\) 0 0
\(15\) −3.05318 9.39672i −0.788328 2.42622i
\(16\) 0.199604 + 1.89910i 0.0499009 + 0.474775i
\(17\) 1.76655 + 0.786518i 0.428451 + 0.190759i 0.609621 0.792693i \(-0.291322\pi\)
−0.181170 + 0.983452i \(0.557988\pi\)
\(18\) 3.85751 4.28420i 0.909224 1.00980i
\(19\) 1.08597 + 1.20609i 0.249139 + 0.276697i 0.854723 0.519085i \(-0.173727\pi\)
−0.605584 + 0.795782i \(0.707060\pi\)
\(20\) 2.11929 + 1.53975i 0.473887 + 0.344299i
\(21\) 0 0
\(22\) −3.05065 2.08708i −0.650401 0.444967i
\(23\) 0.403568 0.699000i 0.0841497 0.145752i −0.820879 0.571102i \(-0.806516\pi\)
0.905029 + 0.425351i \(0.139849\pi\)
\(24\) −0.918495 + 8.73890i −0.187487 + 1.78382i
\(25\) −6.79272 + 1.44384i −1.35854 + 0.288767i
\(26\) 2.24525 + 0.477243i 0.440331 + 0.0935951i
\(27\) 5.02542 3.65118i 0.967142 0.702670i
\(28\) 0 0
\(29\) 2.46400 + 7.58342i 0.457554 + 1.40821i 0.868111 + 0.496371i \(0.165334\pi\)
−0.410557 + 0.911835i \(0.634666\pi\)
\(30\) −7.36797 8.18296i −1.34520 1.49400i
\(31\) −0.0824123 + 0.784101i −0.0148017 + 0.140829i −0.999427 0.0338518i \(-0.989223\pi\)
0.984625 + 0.174680i \(0.0558892\pi\)
\(32\) −2.00959 3.48071i −0.355248 0.615308i
\(33\) −6.54139 6.86378i −1.13871 1.19483i
\(34\) 2.15508 0.369592
\(35\) 0 0
\(36\) −1.21160 + 3.72893i −0.201934 + 0.621488i
\(37\) −9.84189 2.09196i −1.61800 0.343916i −0.692133 0.721770i \(-0.743329\pi\)
−0.925865 + 0.377854i \(0.876662\pi\)
\(38\) 1.65236 + 0.735679i 0.268048 + 0.119343i
\(39\) 5.37911 + 2.39494i 0.861347 + 0.383497i
\(40\) 10.3907 + 2.20861i 1.64291 + 0.349211i
\(41\) −0.657011 + 2.02207i −0.102608 + 0.315795i −0.989162 0.146831i \(-0.953093\pi\)
0.886554 + 0.462626i \(0.153093\pi\)
\(42\) 0 0
\(43\) 3.08043 0.469761 0.234880 0.972024i \(-0.424530\pi\)
0.234880 + 0.972024i \(0.424530\pi\)
\(44\) 2.47276 + 0.452841i 0.372783 + 0.0682683i
\(45\) −8.93887 15.4826i −1.33253 2.30801i
\(46\) 0.0940260 0.894598i 0.0138634 0.131901i
\(47\) 5.06286 + 5.62287i 0.738493 + 0.820180i 0.988997 0.147936i \(-0.0472629\pi\)
−0.250504 + 0.968116i \(0.580596\pi\)
\(48\) 1.68695 + 5.19190i 0.243490 + 0.749387i
\(49\) 0 0
\(50\) −6.26129 + 4.54910i −0.885481 + 0.643339i
\(51\) 5.40737 + 1.14937i 0.757184 + 0.160944i
\(52\) −1.52703 + 0.324580i −0.211761 + 0.0450111i
\(53\) −1.13125 + 10.7632i −0.155390 + 1.47843i 0.587611 + 0.809143i \(0.300068\pi\)
−0.743001 + 0.669290i \(0.766598\pi\)
\(54\) 3.46140 5.99532i 0.471037 0.815859i
\(55\) −9.07891 + 6.99733i −1.22420 + 0.943520i
\(56\) 0 0
\(57\) 3.75363 + 2.72717i 0.497181 + 0.361223i
\(58\) 5.94616 + 6.60388i 0.780769 + 0.867132i
\(59\) −2.20588 + 2.44988i −0.287181 + 0.318947i −0.869423 0.494069i \(-0.835509\pi\)
0.582242 + 0.813016i \(0.302176\pi\)
\(60\) 6.84146 + 3.04602i 0.883229 + 0.393239i
\(61\) 0.112538 + 1.07073i 0.0144090 + 0.137093i 0.999361 0.0357334i \(-0.0113767\pi\)
−0.984952 + 0.172826i \(0.944710\pi\)
\(62\) 0.271523 + 0.835662i 0.0344835 + 0.106129i
\(63\) 0 0
\(64\) −6.71351 4.87765i −0.839189 0.609707i
\(65\) 3.55916 6.16465i 0.441459 0.764630i
\(66\) −9.77121 4.02295i −1.20275 0.495191i
\(67\) −1.20157 2.08118i −0.146795 0.254257i 0.783246 0.621712i \(-0.213562\pi\)
−0.930041 + 0.367455i \(0.880229\pi\)
\(68\) −1.33898 + 0.596153i −0.162375 + 0.0722941i
\(69\) 0.713042 2.19452i 0.0858402 0.264189i
\(70\) 0 0
\(71\) 2.57963 1.87421i 0.306145 0.222428i −0.424095 0.905618i \(-0.639408\pi\)
0.730241 + 0.683190i \(0.239408\pi\)
\(72\) 1.66196 + 15.8124i 0.195863 + 1.86352i
\(73\) 0.820539 0.911300i 0.0960368 0.106660i −0.693210 0.720735i \(-0.743804\pi\)
0.789247 + 0.614076i \(0.210471\pi\)
\(74\) −10.9685 + 2.33142i −1.27506 + 0.271022i
\(75\) −18.1366 + 8.07494i −2.09424 + 0.932414i
\(76\) −1.23015 −0.141107
\(77\) 0 0
\(78\) 6.56217 0.743020
\(79\) −8.66208 + 3.85660i −0.974560 + 0.433902i −0.831325 0.555787i \(-0.812417\pi\)
−0.143235 + 0.989689i \(0.545750\pi\)
\(80\) 6.45538 1.37213i 0.721733 0.153409i
\(81\) 1.49869 1.66447i 0.166521 0.184941i
\(82\) 0.247681 + 2.35652i 0.0273518 + 0.260235i
\(83\) 13.0004 9.44536i 1.42698 1.03676i 0.436412 0.899747i \(-0.356249\pi\)
0.990569 0.137016i \(-0.0437511\pi\)
\(84\) 0 0
\(85\) 2.06520 6.35602i 0.224002 0.689407i
\(86\) 3.13623 1.39634i 0.338189 0.150571i
\(87\) 11.3976 + 19.7413i 1.22196 + 2.11649i
\(88\) 9.90740 2.40094i 1.05613 0.255941i
\(89\) 2.21915 3.84368i 0.235230 0.407430i −0.724110 0.689685i \(-0.757749\pi\)
0.959339 + 0.282255i \(0.0910825\pi\)
\(90\) −16.1190 11.7111i −1.69909 1.23446i
\(91\) 0 0
\(92\) 0.189050 + 0.581837i 0.0197099 + 0.0606607i
\(93\) 0.235602 + 2.24160i 0.0244308 + 0.232443i
\(94\) 7.70339 + 3.42977i 0.794544 + 0.353754i
\(95\) 3.75320 4.16836i 0.385071 0.427664i
\(96\) −7.68837 8.53880i −0.784691 0.871488i
\(97\) −5.23278 3.80184i −0.531308 0.386018i 0.289539 0.957166i \(-0.406498\pi\)
−0.820847 + 0.571148i \(0.806498\pi\)
\(98\) 0 0
\(99\) −14.1597 9.68727i −1.42311 0.973607i
\(100\) 2.63183 4.55847i 0.263183 0.455847i
\(101\) 1.61443 15.3603i 0.160642 1.52841i −0.556128 0.831097i \(-0.687714\pi\)
0.716770 0.697310i \(-0.245620\pi\)
\(102\) 6.02634 1.28094i 0.596696 0.126832i
\(103\) −8.71346 1.85210i −0.858563 0.182493i −0.242462 0.970161i \(-0.577955\pi\)
−0.616100 + 0.787668i \(0.711288\pi\)
\(104\) −5.12162 + 3.72107i −0.502216 + 0.364881i
\(105\) 0 0
\(106\) 3.72713 + 11.4709i 0.362011 + 1.11416i
\(107\) 2.35011 + 2.61007i 0.227194 + 0.252325i 0.845954 0.533255i \(-0.179031\pi\)
−0.618760 + 0.785580i \(0.712365\pi\)
\(108\) −0.492150 + 4.68250i −0.0473572 + 0.450574i
\(109\) −1.93827 3.35719i −0.185653 0.321560i 0.758143 0.652088i \(-0.226107\pi\)
−0.943796 + 0.330527i \(0.892773\pi\)
\(110\) −6.07153 + 11.2395i −0.578897 + 1.07165i
\(111\) −28.7648 −2.73023
\(112\) 0 0
\(113\) 3.29224 10.1325i 0.309708 0.953183i −0.668170 0.744008i \(-0.732922\pi\)
0.977878 0.209175i \(-0.0670777\pi\)
\(114\) 5.05785 + 1.07508i 0.473711 + 0.100690i
\(115\) −2.54836 1.13460i −0.237635 0.105802i
\(116\) −5.52125 2.45822i −0.512635 0.228240i
\(117\) 10.4214 + 2.21514i 0.963462 + 0.204790i
\(118\) −1.13533 + 3.49417i −0.104515 + 0.321665i
\(119\) 0 0
\(120\) 30.3687 2.77227
\(121\) −4.95200 + 9.82230i −0.450182 + 0.892937i
\(122\) 0.599933 + 1.03911i 0.0543154 + 0.0940769i
\(123\) −0.635348 + 6.04493i −0.0572874 + 0.545053i
\(124\) −0.399868 0.444099i −0.0359092 0.0398813i
\(125\) 2.07667 + 6.39134i 0.185743 + 0.571659i
\(126\) 0 0
\(127\) −15.7361 + 11.4330i −1.39635 + 1.01451i −0.401220 + 0.915982i \(0.631414\pi\)
−0.995134 + 0.0985289i \(0.968586\pi\)
\(128\) −1.18346 0.251551i −0.104604 0.0222342i
\(129\) 8.61394 1.83095i 0.758415 0.161206i
\(130\) 0.829238 7.88967i 0.0727290 0.691970i
\(131\) −2.55642 + 4.42785i −0.223355 + 0.386863i −0.955825 0.293937i \(-0.905034\pi\)
0.732469 + 0.680800i \(0.238368\pi\)
\(132\) 7.18385 0.203464i 0.625274 0.0177092i
\(133\) 0 0
\(134\) −2.16672 1.57422i −0.187176 0.135992i
\(135\) −14.3651 15.9541i −1.23635 1.37311i
\(136\) −3.97706 + 4.41697i −0.341030 + 0.378752i
\(137\) 8.31374 + 3.70151i 0.710290 + 0.316242i 0.729888 0.683566i \(-0.239572\pi\)
−0.0195980 + 0.999808i \(0.506239\pi\)
\(138\) −0.268803 2.55749i −0.0228821 0.217708i
\(139\) −4.02234 12.3795i −0.341171 1.05002i −0.963602 0.267341i \(-0.913855\pi\)
0.622431 0.782675i \(-0.286145\pi\)
\(140\) 0 0
\(141\) 17.4996 + 12.7142i 1.47373 + 1.07073i
\(142\) 1.77679 3.07749i 0.149105 0.258257i
\(143\) 0.521422 6.81117i 0.0436035 0.569578i
\(144\) 4.93893 + 8.55448i 0.411577 + 0.712873i
\(145\) 25.1752 11.2087i 2.09068 0.930832i
\(146\) 0.422316 1.29975i 0.0349511 0.107568i
\(147\) 0 0
\(148\) 6.16994 4.48272i 0.507166 0.368477i
\(149\) 0.328899 + 3.12926i 0.0269444 + 0.256359i 0.999699 + 0.0245229i \(0.00780666\pi\)
−0.972755 + 0.231836i \(0.925527\pi\)
\(150\) −14.8048 + 16.4424i −1.20881 + 1.34252i
\(151\) −2.80431 + 0.596075i −0.228212 + 0.0485079i −0.320598 0.947215i \(-0.603884\pi\)
0.0923863 + 0.995723i \(0.470551\pi\)
\(152\) −4.55715 + 2.02898i −0.369634 + 0.164572i
\(153\) 10.0029 0.808684
\(154\) 0 0
\(155\) 2.72484 0.218864
\(156\) −4.07718 + 1.81528i −0.326435 + 0.145338i
\(157\) 21.0199 4.46792i 1.67757 0.356579i 0.731827 0.681491i \(-0.238668\pi\)
0.945744 + 0.324912i \(0.105335\pi\)
\(158\) −7.07082 + 7.85294i −0.562524 + 0.624746i
\(159\) 3.23405 + 30.7699i 0.256477 + 2.44021i
\(160\) −11.2377 + 8.16468i −0.888420 + 0.645475i
\(161\) 0 0
\(162\) 0.771349 2.37397i 0.0606029 0.186517i
\(163\) −7.51158 + 3.34437i −0.588353 + 0.261951i −0.679248 0.733909i \(-0.737694\pi\)
0.0908952 + 0.995860i \(0.471027\pi\)
\(164\) −0.805767 1.39563i −0.0629198 0.108980i
\(165\) −21.2287 + 24.9633i −1.65265 + 1.94339i
\(166\) 8.95440 15.5095i 0.694997 1.20377i
\(167\) 17.5626 + 12.7600i 1.35904 + 0.987397i 0.998506 + 0.0546489i \(0.0174040\pi\)
0.360529 + 0.932748i \(0.382596\pi\)
\(168\) 0 0
\(169\) −2.70632 8.32919i −0.208178 0.640707i
\(170\) −0.778540 7.40731i −0.0597113 0.568115i
\(171\) 7.66950 + 3.41468i 0.586501 + 0.261127i
\(172\) −1.56232 + 1.73513i −0.119126 + 0.132303i
\(173\) −5.38358 5.97907i −0.409306 0.454580i 0.502880 0.864356i \(-0.332274\pi\)
−0.912186 + 0.409776i \(0.865607\pi\)
\(174\) 20.5527 + 14.9324i 1.55810 + 1.13203i
\(175\) 0 0
\(176\) 5.01630 3.86619i 0.378118 0.291425i
\(177\) −4.71224 + 8.16184i −0.354194 + 0.613482i
\(178\) 0.517033 4.91924i 0.0387533 0.368713i
\(179\) 3.54178 0.752829i 0.264725 0.0562691i −0.0736366 0.997285i \(-0.523460\pi\)
0.338362 + 0.941016i \(0.390127\pi\)
\(180\) 13.2546 + 2.81735i 0.987938 + 0.209993i
\(181\) −12.7970 + 9.29753i −0.951190 + 0.691080i −0.951088 0.308920i \(-0.900033\pi\)
−0.000102207 1.00000i \(0.500033\pi\)
\(182\) 0 0
\(183\) 0.951118 + 2.92724i 0.0703087 + 0.216388i
\(184\) 1.66002 + 1.84364i 0.122378 + 0.135915i
\(185\) −3.63490 + 34.5838i −0.267243 + 2.54265i
\(186\) 1.25598 + 2.17541i 0.0920926 + 0.159509i
\(187\) −0.850696 6.35678i −0.0622091 0.464854i
\(188\) −5.73500 −0.418268
\(189\) 0 0
\(190\) 1.93170 5.94518i 0.140141 0.431308i
\(191\) −0.419704 0.0892109i −0.0303687 0.00645508i 0.192702 0.981257i \(-0.438275\pi\)
−0.223071 + 0.974802i \(0.571608\pi\)
\(192\) −21.6725 9.64922i −1.56408 0.696372i
\(193\) −13.8629 6.17216i −0.997873 0.444282i −0.158219 0.987404i \(-0.550575\pi\)
−0.839654 + 0.543122i \(0.817242\pi\)
\(194\) −7.05092 1.49872i −0.506227 0.107602i
\(195\) 6.28849 19.3540i 0.450328 1.38597i
\(196\) 0 0
\(197\) −20.8082 −1.48252 −0.741262 0.671216i \(-0.765772\pi\)
−0.741262 + 0.671216i \(0.765772\pi\)
\(198\) −18.8074 3.44424i −1.33659 0.244771i
\(199\) −4.22284 7.31417i −0.299349 0.518488i 0.676638 0.736316i \(-0.263436\pi\)
−0.975987 + 0.217828i \(0.930103\pi\)
\(200\) 2.23115 21.2280i 0.157766 1.50105i
\(201\) −4.59702 5.10551i −0.324249 0.360115i
\(202\) −5.31906 16.3704i −0.374247 1.15182i
\(203\) 0 0
\(204\) −3.38991 + 2.46292i −0.237341 + 0.172439i
\(205\) 7.18751 + 1.52775i 0.501998 + 0.106703i
\(206\) −9.71086 + 2.06411i −0.676588 + 0.143813i
\(207\) 0.436426 4.15231i 0.0303337 0.288606i
\(208\) −1.96652 + 3.40611i −0.136353 + 0.236171i
\(209\) 1.51776 5.16434i 0.104986 0.357225i
\(210\) 0 0
\(211\) 7.97632 + 5.79513i 0.549112 + 0.398953i 0.827458 0.561528i \(-0.189786\pi\)
−0.278346 + 0.960481i \(0.589786\pi\)
\(212\) −5.48890 6.09604i −0.376979 0.418678i
\(213\) 6.09954 6.77422i 0.417933 0.464162i
\(214\) 3.57582 + 1.59206i 0.244438 + 0.108831i
\(215\) −1.11283 10.5879i −0.0758944 0.722087i
\(216\) 5.90001 + 18.1584i 0.401445 + 1.23552i
\(217\) 0 0
\(218\) −3.49518 2.53940i −0.236724 0.171990i
\(219\) 1.75285 3.03602i 0.118447 0.205156i
\(220\) 0.663174 8.66283i 0.0447112 0.584048i
\(221\) 1.99140 + 3.44921i 0.133956 + 0.232019i
\(222\) −29.2859 + 13.0389i −1.96554 + 0.875114i
\(223\) 5.37562 16.5445i 0.359978 1.10790i −0.593088 0.805138i \(-0.702091\pi\)
0.953066 0.302762i \(-0.0979087\pi\)
\(224\) 0 0
\(225\) −29.0620 + 21.1148i −1.93747 + 1.40765i
\(226\) −1.24111 11.8084i −0.0825575 0.785482i
\(227\) −8.45211 + 9.38702i −0.560986 + 0.623038i −0.955193 0.295983i \(-0.904353\pi\)
0.394207 + 0.919022i \(0.371019\pi\)
\(228\) −3.43991 + 0.731176i −0.227814 + 0.0484233i
\(229\) 4.17802 1.86018i 0.276091 0.122924i −0.264020 0.964517i \(-0.585049\pi\)
0.540112 + 0.841593i \(0.318382\pi\)
\(230\) −3.10883 −0.204990
\(231\) 0 0
\(232\) −24.5084 −1.60905
\(233\) 21.7944 9.70347i 1.42780 0.635696i 0.460111 0.887861i \(-0.347809\pi\)
0.967684 + 0.252166i \(0.0811428\pi\)
\(234\) 11.6143 2.46870i 0.759253 0.161384i
\(235\) 17.4976 19.4331i 1.14142 1.26767i
\(236\) −0.261189 2.48504i −0.0170019 0.161763i
\(237\) −21.9299 + 15.9330i −1.42450 + 1.03496i
\(238\) 0 0
\(239\) 2.73114 8.40558i 0.176663 0.543711i −0.823043 0.567979i \(-0.807725\pi\)
0.999705 + 0.0242677i \(0.00772541\pi\)
\(240\) 17.2359 7.67392i 1.11257 0.495349i
\(241\) −9.47322 16.4081i −0.610224 1.05694i −0.991202 0.132355i \(-0.957746\pi\)
0.380978 0.924584i \(-0.375587\pi\)
\(242\) −0.589317 + 12.2450i −0.0378827 + 0.787136i
\(243\) −6.11610 + 10.5934i −0.392348 + 0.679567i
\(244\) −0.660194 0.479659i −0.0422646 0.0307070i
\(245\) 0 0
\(246\) 2.09328 + 6.44244i 0.133462 + 0.410755i
\(247\) 0.349411 + 3.32442i 0.0222325 + 0.211528i
\(248\) −2.21383 0.985658i −0.140578 0.0625894i
\(249\) 30.7395 34.1397i 1.94804 2.16352i
\(250\) 5.01145 + 5.56578i 0.316952 + 0.352011i
\(251\) 2.31938 + 1.68513i 0.146398 + 0.106364i 0.658573 0.752516i \(-0.271160\pi\)
−0.512175 + 0.858881i \(0.671160\pi\)
\(252\) 0 0
\(253\) −2.67589 + 0.0757876i −0.168232 + 0.00476473i
\(254\) −10.8387 + 18.7732i −0.680080 + 1.17793i
\(255\) 1.99710 19.0012i 0.125063 1.18990i
\(256\) 14.9151 3.17031i 0.932195 0.198144i
\(257\) −21.9260 4.66052i −1.36771 0.290715i −0.535199 0.844726i \(-0.679763\pi\)
−0.832510 + 0.554011i \(0.813097\pi\)
\(258\) 7.94003 5.76877i 0.494325 0.359148i
\(259\) 0 0
\(260\) 1.66728 + 5.13136i 0.103400 + 0.318234i
\(261\) 27.5993 + 30.6522i 1.70836 + 1.89732i
\(262\) −0.595612 + 5.66687i −0.0367970 + 0.350100i
\(263\) −0.495353 0.857976i −0.0305448 0.0529051i 0.850349 0.526219i \(-0.176391\pi\)
−0.880894 + 0.473314i \(0.843058\pi\)
\(264\) 26.2775 12.6026i 1.61727 0.775639i
\(265\) 37.4032 2.29766
\(266\) 0 0
\(267\) 3.92090 12.0673i 0.239955 0.738506i
\(268\) 1.78169 + 0.378710i 0.108834 + 0.0231334i
\(269\) −6.56873 2.92458i −0.400502 0.178315i 0.196593 0.980485i \(-0.437012\pi\)
−0.597096 + 0.802170i \(0.703679\pi\)
\(270\) −21.8572 9.73147i −1.33019 0.592238i
\(271\) 26.5707 + 5.64777i 1.61405 + 0.343078i 0.924508 0.381164i \(-0.124477\pi\)
0.689546 + 0.724241i \(0.257810\pi\)
\(272\) −1.14107 + 3.51185i −0.0691874 + 0.212937i
\(273\) 0 0
\(274\) 10.1422 0.612714
\(275\) 15.8900 + 16.6731i 0.958201 + 1.00543i
\(276\) 0.874484 + 1.51465i 0.0526377 + 0.0911712i
\(277\) −2.19359 + 20.8706i −0.131800 + 1.25400i 0.706076 + 0.708136i \(0.250464\pi\)
−0.837877 + 0.545860i \(0.816203\pi\)
\(278\) −9.70677 10.7805i −0.582173 0.646569i
\(279\) 1.26029 + 3.87876i 0.0754513 + 0.232215i
\(280\) 0 0
\(281\) 22.7803 16.5509i 1.35896 0.987341i 0.360448 0.932779i \(-0.382624\pi\)
0.998510 0.0545621i \(-0.0173763\pi\)
\(282\) 23.5799 + 5.01207i 1.40416 + 0.298464i
\(283\) 25.6194 5.44557i 1.52291 0.323705i 0.630954 0.775820i \(-0.282664\pi\)
0.891960 + 0.452115i \(0.149330\pi\)
\(284\) −0.252629 + 2.40360i −0.0149908 + 0.142627i
\(285\) 8.01766 13.8870i 0.474925 0.822595i
\(286\) −2.55660 7.17091i −0.151175 0.424025i
\(287\) 0 0
\(288\) −16.8199 12.2204i −0.991123 0.720093i
\(289\) −8.87314 9.85462i −0.521949 0.579683i
\(290\) 20.5504 22.8235i 1.20676 1.34024i
\(291\) −16.8924 7.52098i −0.990250 0.440888i
\(292\) 0.0971564 + 0.924381i 0.00568565 + 0.0540953i
\(293\) −1.37941 4.24538i −0.0805858 0.248017i 0.902644 0.430388i \(-0.141623\pi\)
−0.983230 + 0.182370i \(0.941623\pi\)
\(294\) 0 0
\(295\) 9.21748 + 6.69689i 0.536663 + 0.389908i
\(296\) 15.4632 26.7831i 0.898782 1.55674i
\(297\) −19.0506 7.84342i −1.10543 0.455121i
\(298\) 1.75333 + 3.03686i 0.101568 + 0.175921i
\(299\) 1.51870 0.676167i 0.0878284 0.0391037i
\(300\) 4.65004 14.3114i 0.268470 0.826267i
\(301\) 0 0
\(302\) −2.58492 + 1.87805i −0.148745 + 0.108070i
\(303\) −4.61537 43.9123i −0.265146 2.52269i
\(304\) −2.07373 + 2.30311i −0.118937 + 0.132092i
\(305\) 3.63960 0.773620i 0.208403 0.0442974i
\(306\) 10.1841 4.53425i 0.582185 0.259206i
\(307\) 12.8841 0.735334 0.367667 0.929957i \(-0.380157\pi\)
0.367667 + 0.929957i \(0.380157\pi\)
\(308\) 0 0
\(309\) −25.4667 −1.44875
\(310\) 2.77420 1.23515i 0.157564 0.0701521i
\(311\) −26.2338 + 5.57616i −1.48758 + 0.316195i −0.878818 0.477157i \(-0.841667\pi\)
−0.608763 + 0.793352i \(0.708334\pi\)
\(312\) −12.1101 + 13.4496i −0.685598 + 0.761434i
\(313\) −0.375120 3.56903i −0.0212030 0.201733i 0.978792 0.204856i \(-0.0656726\pi\)
−0.999995 + 0.00312281i \(0.999006\pi\)
\(314\) 19.3754 14.0771i 1.09342 0.794415i
\(315\) 0 0
\(316\) 2.22087 6.83513i 0.124934 0.384506i
\(317\) −15.4554 + 6.88119i −0.868062 + 0.386486i −0.791930 0.610611i \(-0.790924\pi\)
−0.0761321 + 0.997098i \(0.524257\pi\)
\(318\) 17.2405 + 29.8614i 0.966797 + 1.67454i
\(319\) 17.1321 20.1461i 0.959216 1.12796i
\(320\) −14.3399 + 24.8374i −0.801624 + 1.38845i
\(321\) 8.12311 + 5.90178i 0.453388 + 0.329405i
\(322\) 0 0
\(323\) 0.969808 + 2.98476i 0.0539616 + 0.166077i
\(324\) 0.177454 + 1.68836i 0.00985854 + 0.0937977i
\(325\) −13.0666 5.81764i −0.724806 0.322704i
\(326\) −6.13168 + 6.80992i −0.339602 + 0.377166i
\(327\) −7.41554 8.23579i −0.410080 0.455440i
\(328\) −5.28693 3.84118i −0.291922 0.212094i
\(329\) 0 0
\(330\) −10.2975 + 35.0384i −0.566860 + 1.92880i
\(331\) 0.619131 1.07237i 0.0340305 0.0589426i −0.848509 0.529182i \(-0.822499\pi\)
0.882539 + 0.470239i \(0.155832\pi\)
\(332\) −1.27316 + 12.1133i −0.0698737 + 0.664804i
\(333\) −50.9106 + 10.8214i −2.78988 + 0.593008i
\(334\) 23.6648 + 5.03011i 1.29488 + 0.275235i
\(335\) −6.71924 + 4.88181i −0.367111 + 0.266722i
\(336\) 0 0
\(337\) −6.32885 19.4782i −0.344754 1.06104i −0.961715 0.274051i \(-0.911636\pi\)
0.616961 0.786994i \(-0.288364\pi\)
\(338\) −6.53092 7.25332i −0.355235 0.394529i
\(339\) 3.18369 30.2908i 0.172914 1.64517i
\(340\) 2.53278 + 4.38691i 0.137359 + 0.237913i
\(341\) 2.35775 1.13078i 0.127680 0.0612350i
\(342\) 9.35630 0.505931
\(343\) 0 0
\(344\) −2.92583 + 9.00478i −0.157750 + 0.485505i
\(345\) −7.80047 1.65804i −0.419963 0.0892660i
\(346\) −8.19139 3.64704i −0.440372 0.196066i
\(347\) 24.9122 + 11.0916i 1.33736 + 0.595431i 0.945808 0.324725i \(-0.105272\pi\)
0.391551 + 0.920156i \(0.371939\pi\)
\(348\) −16.9005 3.59230i −0.905959 0.192568i
\(349\) 2.46730 7.59356i 0.132071 0.406474i −0.863052 0.505116i \(-0.831450\pi\)
0.995123 + 0.0986418i \(0.0314498\pi\)
\(350\) 0 0
\(351\) 12.7941 0.682897
\(352\) −6.33555 + 11.7283i −0.337686 + 0.625119i
\(353\) −2.96736 5.13961i −0.157937 0.273554i 0.776188 0.630502i \(-0.217151\pi\)
−0.934124 + 0.356948i \(0.883817\pi\)
\(354\) −1.09789 + 10.4457i −0.0583523 + 0.555185i
\(355\) −7.37384 8.18948i −0.391363 0.434652i
\(356\) 1.03956 + 3.19942i 0.0550964 + 0.169569i
\(357\) 0 0
\(358\) 3.26469 2.37194i 0.172544 0.125361i
\(359\) −27.7992 5.90891i −1.46719 0.311860i −0.596069 0.802933i \(-0.703271\pi\)
−0.871118 + 0.491073i \(0.836605\pi\)
\(360\) 53.7493 11.4248i 2.83284 0.602138i
\(361\) 1.71071 16.2763i 0.0900375 0.856650i
\(362\) −8.81427 + 15.2668i −0.463267 + 0.802403i
\(363\) −8.00931 + 30.4099i −0.420380 + 1.59611i
\(364\) 0 0
\(365\) −3.42870 2.49109i −0.179466 0.130390i
\(366\) 2.29525 + 2.54913i 0.119975 + 0.133245i
\(367\) −20.3425 + 22.5927i −1.06187 + 1.17933i −0.0786515 + 0.996902i \(0.525061\pi\)
−0.983220 + 0.182425i \(0.941605\pi\)
\(368\) 1.40802 + 0.626893i 0.0733984 + 0.0326791i
\(369\) 1.14962 + 10.9379i 0.0598468 + 0.569404i
\(370\) 11.9759 + 36.8580i 0.622596 + 1.91615i
\(371\) 0 0
\(372\) −1.38213 1.00418i −0.0716603 0.0520643i
\(373\) −7.21128 + 12.4903i −0.373386 + 0.646723i −0.990084 0.140476i \(-0.955137\pi\)
0.616698 + 0.787200i \(0.288470\pi\)
\(374\) −3.74760 6.08633i −0.193784 0.314716i
\(375\) 9.60599 + 16.6381i 0.496051 + 0.859186i
\(376\) −21.2457 + 9.45918i −1.09566 + 0.487820i
\(377\) −5.07499 + 15.6192i −0.261375 + 0.804430i
\(378\) 0 0
\(379\) 18.1278 13.1706i 0.931163 0.676529i −0.0151144 0.999886i \(-0.504811\pi\)
0.946277 + 0.323356i \(0.104811\pi\)
\(380\) 0.444401 + 4.22819i 0.0227973 + 0.216902i
\(381\) −37.2081 + 41.3238i −1.90623 + 2.11708i
\(382\) −0.467747 + 0.0994226i −0.0239320 + 0.00508690i
\(383\) 30.7669 13.6983i 1.57211 0.699950i 0.578808 0.815464i \(-0.303518\pi\)
0.993306 + 0.115514i \(0.0368514\pi\)
\(384\) −3.45887 −0.176510
\(385\) 0 0
\(386\) −16.9118 −0.860790
\(387\) 14.5569 6.48117i 0.739971 0.329456i
\(388\) 4.79543 1.01930i 0.243451 0.0517471i
\(389\) 1.62454 1.80423i 0.0823672 0.0914780i −0.700552 0.713601i \(-0.747063\pi\)
0.782920 + 0.622123i \(0.213730\pi\)
\(390\) −2.37064 22.5551i −0.120042 1.14212i
\(391\) 1.26270 0.917404i 0.0638574 0.0463951i
\(392\) 0 0
\(393\) −4.51680 + 13.9013i −0.227842 + 0.701227i
\(394\) −21.1852 + 9.43224i −1.06729 + 0.475190i
\(395\) 16.3850 + 28.3796i 0.824417 + 1.42793i
\(396\) 12.6381 3.06269i 0.635089 0.153906i
\(397\) 2.94848 5.10692i 0.147980 0.256309i −0.782501 0.622650i \(-0.786056\pi\)
0.930481 + 0.366341i \(0.119390\pi\)
\(398\) −7.61481 5.53248i −0.381696 0.277318i
\(399\) 0 0
\(400\) −4.09784 12.6119i −0.204892 0.630593i
\(401\) −1.17486 11.1780i −0.0586696 0.558203i −0.983890 0.178774i \(-0.942787\pi\)
0.925221 0.379430i \(-0.123880\pi\)
\(402\) −6.99460 3.11420i −0.348859 0.155322i
\(403\) −1.08658 + 1.20677i −0.0541265 + 0.0601136i
\(404\) 7.83330 + 8.69976i 0.389721 + 0.432829i
\(405\) −6.26243 4.54992i −0.311183 0.226087i
\(406\) 0 0
\(407\) 11.2066 + 31.4331i 0.555492 + 1.55808i
\(408\) −8.49587 + 14.7153i −0.420608 + 0.728515i
\(409\) −3.06628 + 29.1737i −0.151618 + 1.44255i 0.608909 + 0.793240i \(0.291607\pi\)
−0.760527 + 0.649306i \(0.775059\pi\)
\(410\) 8.01024 1.70263i 0.395598 0.0840869i
\(411\) 25.4482 + 5.40918i 1.25527 + 0.266815i
\(412\) 5.46251 3.96875i 0.269119 0.195526i
\(413\) 0 0
\(414\) −1.43789 4.42536i −0.0706683 0.217495i
\(415\) −37.1616 41.2721i −1.82419 2.02597i
\(416\) 0.865298 8.23276i 0.0424247 0.403644i
\(417\) −18.6060 32.2266i −0.911140 1.57814i
\(418\) −0.795708 5.94589i −0.0389194 0.290823i
\(419\) −20.2858 −0.991027 −0.495514 0.868600i \(-0.665020\pi\)
−0.495514 + 0.868600i \(0.665020\pi\)
\(420\) 0 0
\(421\) −0.945600 + 2.91026i −0.0460857 + 0.141837i −0.971452 0.237238i \(-0.923758\pi\)
0.925366 + 0.379075i \(0.123758\pi\)
\(422\) 10.7477 + 2.28450i 0.523191 + 0.111208i
\(423\) 35.7556 + 15.9194i 1.73850 + 0.774028i
\(424\) −30.3886 13.5299i −1.47580 0.657070i
\(425\) −13.1353 2.79199i −0.637155 0.135431i
\(426\) 3.13932 9.66183i 0.152100 0.468117i
\(427\) 0 0
\(428\) −2.66211 −0.128678
\(429\) −2.59036 19.3563i −0.125064 0.934531i
\(430\) −5.93241 10.2752i −0.286086 0.495516i
\(431\) −0.788350 + 7.50065i −0.0379735 + 0.361294i 0.958991 + 0.283436i \(0.0914745\pi\)
−0.996965 + 0.0778572i \(0.975192\pi\)
\(432\) 7.93705 + 8.81499i 0.381871 + 0.424111i
\(433\) −9.93848 30.5875i −0.477613 1.46994i −0.842401 0.538851i \(-0.818859\pi\)
0.364788 0.931091i \(-0.381141\pi\)
\(434\) 0 0
\(435\) 63.7362 46.3071i 3.05592 2.22025i
\(436\) 2.87408 + 0.610904i 0.137643 + 0.0292570i
\(437\) 1.28132 0.272354i 0.0612940 0.0130284i
\(438\) 0.408391 3.88558i 0.0195137 0.185660i
\(439\) 2.33363 4.04196i 0.111378 0.192912i −0.804948 0.593345i \(-0.797807\pi\)
0.916326 + 0.400433i \(0.131140\pi\)
\(440\) −11.8315 33.1858i −0.564045 1.58207i
\(441\) 0 0
\(442\) 3.59099 + 2.60901i 0.170806 + 0.124098i
\(443\) 11.5607 + 12.8394i 0.549264 + 0.610020i 0.952300 0.305165i \(-0.0987116\pi\)
−0.403036 + 0.915184i \(0.632045\pi\)
\(444\) 14.5888 16.2025i 0.692355 0.768938i
\(445\) −14.0130 6.23898i −0.664279 0.295756i
\(446\) −2.02651 19.2809i −0.0959579 0.912979i
\(447\) 2.77969 + 8.55501i 0.131475 + 0.404638i
\(448\) 0 0
\(449\) 13.5430 + 9.83957i 0.639134 + 0.464358i 0.859553 0.511047i \(-0.170742\pi\)
−0.220418 + 0.975405i \(0.570742\pi\)
\(450\) −20.0173 + 34.6710i −0.943625 + 1.63441i
\(451\) 6.85322 1.66079i 0.322706 0.0782038i
\(452\) 4.03764 + 6.99340i 0.189915 + 0.328942i
\(453\) −7.48753 + 3.33366i −0.351795 + 0.156629i
\(454\) −4.35015 + 13.3884i −0.204162 + 0.628347i
\(455\) 0 0
\(456\) −11.5374 + 8.38241i −0.540288 + 0.392542i
\(457\) 2.26800 + 21.5785i 0.106092 + 1.00940i 0.909989 + 0.414633i \(0.136090\pi\)
−0.803897 + 0.594769i \(0.797243\pi\)
\(458\) 3.41050 3.78775i 0.159362 0.176990i
\(459\) 11.7494 2.49740i 0.548413 0.116569i
\(460\) 1.93156 0.859987i 0.0900596 0.0400971i
\(461\) −6.07778 −0.283070 −0.141535 0.989933i \(-0.545204\pi\)
−0.141535 + 0.989933i \(0.545204\pi\)
\(462\) 0 0
\(463\) −5.14719 −0.239210 −0.119605 0.992822i \(-0.538163\pi\)
−0.119605 + 0.992822i \(0.538163\pi\)
\(464\) −13.9099 + 6.19307i −0.645749 + 0.287506i
\(465\) 7.61960 1.61959i 0.353350 0.0751069i
\(466\) 17.7906 19.7585i 0.824136 0.915296i
\(467\) 0.409676 + 3.89780i 0.0189575 + 0.180369i 0.999903 0.0139134i \(-0.00442891\pi\)
−0.980946 + 0.194282i \(0.937762\pi\)
\(468\) −6.53325 + 4.74669i −0.302000 + 0.219416i
\(469\) 0 0
\(470\) 9.00570 27.7167i 0.415402 1.27848i
\(471\) 56.1233 24.9877i 2.58602 1.15137i
\(472\) −5.06637 8.77521i −0.233199 0.403912i
\(473\) −5.35675 8.69968i −0.246304 0.400012i
\(474\) −15.1048 + 26.1623i −0.693787 + 1.20167i
\(475\) −9.11811 6.62469i −0.418368 0.303962i
\(476\) 0 0
\(477\) 17.2996 + 53.2428i 0.792096 + 2.43782i
\(478\) −1.02959 9.79586i −0.0470922 0.448052i
\(479\) −13.8063 6.14698i −0.630828 0.280863i 0.0663109 0.997799i \(-0.478877\pi\)
−0.697139 + 0.716936i \(0.745544\pi\)
\(480\) −26.5716 + 29.5108i −1.21282 + 1.34698i
\(481\) −13.8669 15.4007i −0.632276 0.702214i
\(482\) −17.0825 12.4112i −0.778088 0.565314i
\(483\) 0 0
\(484\) −3.02114 7.77100i −0.137324 0.353227i
\(485\) −11.1771 + 19.3593i −0.507525 + 0.879059i
\(486\) −1.42497 + 13.5577i −0.0646380 + 0.614990i
\(487\) −24.5288 + 5.21376i −1.11151 + 0.236258i −0.726846 0.686800i \(-0.759015\pi\)
−0.384660 + 0.923058i \(0.625681\pi\)
\(488\) −3.23687 0.688018i −0.146526 0.0311451i
\(489\) −19.0172 + 13.8168i −0.859985 + 0.624816i
\(490\) 0 0
\(491\) 11.5019 + 35.3991i 0.519071 + 1.59754i 0.775750 + 0.631040i \(0.217372\pi\)
−0.256679 + 0.966497i \(0.582628\pi\)
\(492\) −3.08274 3.42373i −0.138981 0.154354i
\(493\) −1.61172 + 15.3345i −0.0725881 + 0.690630i
\(494\) 1.86268 + 3.22626i 0.0838060 + 0.145156i
\(495\) −28.1812 + 52.1687i −1.26665 + 2.34481i
\(496\) −1.50554 −0.0676006
\(497\) 0 0
\(498\) 15.8211 48.6922i 0.708959 2.18195i
\(499\) 31.1182 + 6.61437i 1.39304 + 0.296100i 0.842494 0.538705i \(-0.181086\pi\)
0.550546 + 0.834805i \(0.314420\pi\)
\(500\) −4.65334 2.07180i −0.208104 0.0926537i
\(501\) 56.6954 + 25.2424i 2.53296 + 1.12775i
\(502\) 3.12526 + 0.664294i 0.139487 + 0.0296489i
\(503\) −5.93493 + 18.2658i −0.264626 + 0.814434i 0.727154 + 0.686474i \(0.240843\pi\)
−0.991779 + 0.127959i \(0.959157\pi\)
\(504\) 0 0
\(505\) −53.3788 −2.37532
\(506\) −2.69001 + 1.29013i −0.119586 + 0.0573532i
\(507\) −12.5185 21.6827i −0.555967 0.962963i
\(508\) 1.54107 14.6623i 0.0683740 0.650536i
\(509\) 1.68319 + 1.86937i 0.0746060 + 0.0828584i 0.779292 0.626661i \(-0.215579\pi\)
−0.704686 + 0.709519i \(0.748912\pi\)
\(510\) −6.57984 20.2506i −0.291360 0.896714i
\(511\) 0 0
\(512\) 15.7059 11.4110i 0.694109 0.504300i
\(513\) 9.86113 + 2.09605i 0.435379 + 0.0925428i
\(514\) −24.4358 + 5.19400i −1.07782 + 0.229097i
\(515\) −3.21814 + 30.6185i −0.141808 + 1.34921i
\(516\) −3.33746 + 5.78065i −0.146924 + 0.254479i
\(517\) 7.07588 24.0764i 0.311197 1.05888i
\(518\) 0 0
\(519\) −18.6082 13.5196i −0.816809 0.593447i
\(520\) 14.6401 + 16.2595i 0.642011 + 0.713025i
\(521\) 9.96788 11.0705i 0.436701 0.485005i −0.484114 0.875005i \(-0.660858\pi\)
0.920815 + 0.389999i \(0.127525\pi\)
\(522\) 41.9938 + 18.6968i 1.83802 + 0.818338i
\(523\) 1.03536 + 9.85076i 0.0452730 + 0.430744i 0.993558 + 0.113324i \(0.0361498\pi\)
−0.948285 + 0.317420i \(0.897184\pi\)
\(524\) −1.19755 3.68567i −0.0523151 0.161009i
\(525\) 0 0
\(526\) −0.893242 0.648979i −0.0389472 0.0282968i
\(527\) −0.762295 + 1.32033i −0.0332061 + 0.0575146i
\(528\) 11.7293 13.7928i 0.510453 0.600254i
\(529\) 11.1743 + 19.3544i 0.485838 + 0.841496i
\(530\) 38.0808 16.9547i 1.65412 0.736464i
\(531\) −5.26966 + 16.2183i −0.228684 + 0.703816i
\(532\) 0 0
\(533\) −3.54276 + 2.57397i −0.153454 + 0.111491i
\(534\) −1.47810 14.0632i −0.0639638 0.608575i
\(535\) 8.12218 9.02059i 0.351152 0.389994i
\(536\) 7.22502 1.53573i 0.312073 0.0663332i
\(537\) 9.45659 4.21034i 0.408082 0.181690i
\(538\) −8.01342 −0.345483
\(539\) 0 0
\(540\) 16.2722 0.700245
\(541\) −20.1057 + 8.95161i −0.864409 + 0.384860i −0.790542 0.612408i \(-0.790201\pi\)
−0.0738677 + 0.997268i \(0.523534\pi\)
\(542\) 29.6121 6.29425i 1.27195 0.270361i
\(543\) −30.2584 + 33.6054i −1.29851 + 1.44215i
\(544\) −0.812395 7.72942i −0.0348311 0.331396i
\(545\) −10.8389 + 7.87494i −0.464289 + 0.337325i
\(546\) 0 0
\(547\) −3.35724 + 10.3325i −0.143545 + 0.441787i −0.996821 0.0796728i \(-0.974612\pi\)
0.853276 + 0.521460i \(0.174612\pi\)
\(548\) −6.30152 + 2.80562i −0.269187 + 0.119850i
\(549\) 2.78461 + 4.82309i 0.118844 + 0.205844i
\(550\) 23.7356 + 9.77231i 1.01209 + 0.416693i
\(551\) −6.47048 + 11.2072i −0.275652 + 0.477443i
\(552\) 5.73781 + 4.16876i 0.244218 + 0.177434i
\(553\) 0 0
\(554\) 7.22721 + 22.2431i 0.307055 + 0.945018i
\(555\) 10.3915 + 98.8687i 0.441095 + 4.19674i
\(556\) 9.01313 + 4.01290i 0.382242 + 0.170185i
\(557\) 22.4912 24.9790i 0.952983 1.05840i −0.0452499 0.998976i \(-0.514408\pi\)
0.998233 0.0594193i \(-0.0189249\pi\)
\(558\) 3.04134 + 3.37775i 0.128750 + 0.142991i
\(559\) 5.13290 + 3.72927i 0.217098 + 0.157731i
\(560\) 0 0
\(561\) −6.15720 17.2701i −0.259957 0.729145i
\(562\) 15.6906 27.1769i 0.661867 1.14639i
\(563\) 0.214647 2.04223i 0.00904631 0.0860699i −0.989067 0.147465i \(-0.952888\pi\)
0.998114 + 0.0613956i \(0.0195551\pi\)
\(564\) −16.0370 + 3.40878i −0.675281 + 0.143535i
\(565\) −36.0161 7.65547i −1.51521 0.322068i
\(566\) 23.6151 17.1573i 0.992615 0.721177i
\(567\) 0 0
\(568\) 3.02857 + 9.32098i 0.127076 + 0.391099i
\(569\) 2.19084 + 2.43317i 0.0918448 + 0.102004i 0.787315 0.616551i \(-0.211471\pi\)
−0.695470 + 0.718555i \(0.744804\pi\)
\(570\) 1.86801 17.7729i 0.0782424 0.744426i
\(571\) 21.9448 + 38.0096i 0.918363 + 1.59065i 0.801901 + 0.597457i \(0.203822\pi\)
0.116462 + 0.993195i \(0.462845\pi\)
\(572\) 3.57212 + 3.74817i 0.149358 + 0.156719i
\(573\) −1.22666 −0.0512446
\(574\) 0 0
\(575\) −1.73208 + 5.33080i −0.0722328 + 0.222310i
\(576\) −41.9881 8.92484i −1.74950 0.371868i
\(577\) −40.0959 17.8518i −1.66921 0.743181i −1.00000 0.000110759i \(-0.999965\pi\)
−0.669213 0.743071i \(-0.733369\pi\)
\(578\) −13.5009 6.01100i −0.561564 0.250025i
\(579\) −42.4341 9.01964i −1.76350 0.374843i
\(580\) −6.45466 + 19.8654i −0.268015 + 0.824866i
\(581\) 0 0
\(582\) −20.6076 −0.854214
\(583\) 32.3643 15.5219i 1.34039 0.642851i
\(584\) 1.88458 + 3.26418i 0.0779843 + 0.135073i
\(585\) 3.84894 36.6202i 0.159134 1.51406i
\(586\) −3.32880 3.69701i −0.137511 0.152722i
\(587\) 0.862670 + 2.65503i 0.0356062 + 0.109585i 0.967280 0.253711i \(-0.0816513\pi\)
−0.931674 + 0.363296i \(0.881651\pi\)
\(588\) 0 0
\(589\) −1.03520 + 0.752114i −0.0426545 + 0.0309903i
\(590\) 12.4201 + 2.63998i 0.511329 + 0.108686i
\(591\) −58.1869 + 12.3680i −2.39349 + 0.508752i
\(592\) 2.00836 19.1083i 0.0825433 0.785347i
\(593\) −11.6263 + 20.1374i −0.477435 + 0.826942i −0.999666 0.0258622i \(-0.991767\pi\)
0.522230 + 0.852805i \(0.325100\pi\)
\(594\) −22.9511 + 0.650030i −0.941696 + 0.0266710i
\(595\) 0 0
\(596\) −1.92945 1.40183i −0.0790334 0.0574211i
\(597\) −16.1559 17.9430i −0.661218 0.734357i
\(598\) 1.23971 1.37683i 0.0506953 0.0563029i
\(599\) 9.55519 + 4.25424i 0.390414 + 0.173824i 0.592550 0.805534i \(-0.298121\pi\)
−0.202135 + 0.979358i \(0.564788\pi\)
\(600\) −6.37846 60.6870i −0.260400 2.47754i
\(601\) 6.89406 + 21.2177i 0.281215 + 0.865489i 0.987508 + 0.157570i \(0.0503660\pi\)
−0.706293 + 0.707919i \(0.749634\pi\)
\(602\) 0 0
\(603\) −10.0569 7.30679i −0.409550 0.297556i
\(604\) 1.08653 1.88192i 0.0442102 0.0765743i
\(605\) 35.5496 + 13.4724i 1.44530 + 0.547729i
\(606\) −24.6042 42.6157i −0.999476 1.73114i
\(607\) 17.3468 7.72328i 0.704084 0.313478i −0.0232812 0.999729i \(-0.507411\pi\)
0.727365 + 0.686251i \(0.240745\pi\)
\(608\) 2.01571 6.20370i 0.0817477 0.251593i
\(609\) 0 0
\(610\) 3.35485 2.43744i 0.135834 0.0986892i
\(611\) 1.62897 + 15.4986i 0.0659011 + 0.627007i
\(612\) −5.07323 + 5.63439i −0.205073 + 0.227757i
\(613\) −19.7211 + 4.19185i −0.796528 + 0.169307i −0.588161 0.808744i \(-0.700148\pi\)
−0.208366 + 0.978051i \(0.566815\pi\)
\(614\) 13.1175 5.84029i 0.529379 0.235695i
\(615\) 21.0068 0.847077
\(616\) 0 0
\(617\) 7.03919 0.283387 0.141694 0.989911i \(-0.454745\pi\)
0.141694 + 0.989911i \(0.454745\pi\)
\(618\) −25.9281 + 11.5439i −1.04298 + 0.464364i
\(619\) 30.4038 6.46254i 1.22203 0.259751i 0.448660 0.893702i \(-0.351901\pi\)
0.773373 + 0.633951i \(0.218568\pi\)
\(620\) −1.38198 + 1.53484i −0.0555015 + 0.0616407i
\(621\) −0.524078 4.98626i −0.0210305 0.200092i
\(622\) −24.1814 + 17.5688i −0.969585 + 0.704445i
\(623\) 0 0
\(624\) −3.47453 + 10.6935i −0.139093 + 0.428083i
\(625\) −10.5027 + 4.67611i −0.420108 + 0.187044i
\(626\) −1.99974 3.46364i −0.0799255 0.138435i
\(627\) 1.17460 15.3434i 0.0469090 0.612757i
\(628\) −8.14414 + 14.1061i −0.324986 + 0.562893i
\(629\) −15.7408 11.4364i −0.627628 0.455998i
\(630\) 0 0
\(631\) 6.78971 + 20.8966i 0.270294 + 0.831880i 0.990426 + 0.138043i \(0.0440812\pi\)
−0.720132 + 0.693837i \(0.755919\pi\)
\(632\) −3.04637 28.9842i −0.121178 1.15293i
\(633\) 25.7491 + 11.4642i 1.02343 + 0.455662i
\(634\) −12.6162 + 14.0117i −0.501053 + 0.556476i
\(635\) 44.9815 + 49.9570i 1.78504 + 1.98248i
\(636\) −18.9722 13.7841i −0.752298 0.546576i
\(637\) 0 0
\(638\) 8.31039 28.2770i 0.329012 1.11950i
\(639\) 8.24705 14.2843i 0.326248 0.565078i
\(640\) −0.437085 + 4.15858i −0.0172773 + 0.164382i
\(641\) 13.0005 2.76334i 0.513489 0.109145i 0.0561227 0.998424i \(-0.482126\pi\)
0.457366 + 0.889278i \(0.348793\pi\)
\(642\) 10.9455 + 2.32654i 0.431985 + 0.0918212i
\(643\) −11.8848 + 8.63480i −0.468690 + 0.340523i −0.796930 0.604071i \(-0.793544\pi\)
0.328241 + 0.944594i \(0.393544\pi\)
\(644\) 0 0
\(645\) −9.40510 28.9459i −0.370325 1.13974i
\(646\) 2.34035 + 2.59922i 0.0920799 + 0.102265i
\(647\) 0.642352 6.11157i 0.0252534 0.240271i −0.974613 0.223898i \(-0.928122\pi\)
0.999866 0.0163722i \(-0.00521168\pi\)
\(648\) 3.44213 + 5.96195i 0.135220 + 0.234207i
\(649\) 10.7549 + 1.96955i 0.422165 + 0.0773118i
\(650\) −15.9404 −0.625236
\(651\) 0 0
\(652\) 1.92589 5.92729i 0.0754238 0.232131i
\(653\) 39.7804 + 8.45558i 1.55673 + 0.330893i 0.904279 0.426941i \(-0.140409\pi\)
0.652448 + 0.757834i \(0.273742\pi\)
\(654\) −11.2831 5.02357i −0.441205 0.196437i
\(655\) 16.1427 + 7.18718i 0.630746 + 0.280826i
\(656\) −3.97126 0.844118i −0.155052 0.0329573i
\(657\) 1.96020 6.03286i 0.0764745 0.235364i
\(658\) 0 0
\(659\) 18.0090 0.701531 0.350765 0.936463i \(-0.385921\pi\)
0.350765 + 0.936463i \(0.385921\pi\)
\(660\) −3.29456 24.6184i −0.128241 0.958272i
\(661\) 8.57098 + 14.8454i 0.333373 + 0.577418i 0.983171 0.182689i \(-0.0584800\pi\)
−0.649798 + 0.760107i \(0.725147\pi\)
\(662\) 0.144249 1.37244i 0.00560641 0.0533415i
\(663\) 7.61881 + 8.46154i 0.295890 + 0.328619i
\(664\) 15.2629 + 46.9744i 0.592316 + 1.82296i
\(665\) 0 0
\(666\) −46.9276 + 34.0949i −1.81841 + 1.32115i
\(667\) 6.29520 + 1.33809i 0.243751 + 0.0518109i
\(668\) −16.0948 + 3.42105i −0.622725 + 0.132364i
\(669\) 5.19838 49.4592i 0.200981 1.91220i
\(670\) −4.62807 + 8.01605i −0.178798 + 0.309687i
\(671\) 2.82823 2.17979i 0.109183 0.0841498i
\(672\) 0 0
\(673\) 18.7632 + 13.6322i 0.723268 + 0.525485i 0.887426 0.460949i \(-0.152491\pi\)
−0.164159 + 0.986434i \(0.552491\pi\)
\(674\) −15.2729 16.9622i −0.588288 0.653361i
\(675\) −28.8645 + 32.0573i −1.11100 + 1.23389i
\(676\) 6.06423 + 2.69997i 0.233239 + 0.103845i
\(677\) 2.88191 + 27.4195i 0.110761 + 1.05382i 0.898850 + 0.438256i \(0.144404\pi\)
−0.788089 + 0.615561i \(0.788930\pi\)
\(678\) −10.4893 32.2826i −0.402838 1.23981i
\(679\) 0 0
\(680\) 16.6185 + 12.0741i 0.637291 + 0.463019i
\(681\) −18.0556 + 31.2731i −0.691890 + 1.19839i
\(682\) 1.88789 2.22002i 0.0722912 0.0850089i
\(683\) −10.9675 18.9963i −0.419661 0.726874i 0.576244 0.817278i \(-0.304518\pi\)
−0.995905 + 0.0904032i \(0.971184\pi\)
\(684\) −5.81321 + 2.58821i −0.222274 + 0.0989626i
\(685\) 9.71923 29.9127i 0.371353 1.14291i
\(686\) 0 0
\(687\) 10.5775 7.68503i 0.403558 0.293202i
\(688\) 0.614864 + 5.85004i 0.0234415 + 0.223031i
\(689\) −14.9152 + 16.5651i −0.568226 + 0.631078i
\(690\) −8.69337 + 1.84783i −0.330951 + 0.0703458i
\(691\) −23.4476 + 10.4396i −0.891990 + 0.397139i −0.800966 0.598709i \(-0.795680\pi\)
−0.0910234 + 0.995849i \(0.529014\pi\)
\(692\) 6.09830 0.231823
\(693\) 0 0
\(694\) 30.3913 1.15364
\(695\) −41.0970 + 18.2976i −1.55890 + 0.694067i
\(696\) −68.5339 + 14.5673i −2.59777 + 0.552173i
\(697\) −2.75104 + 3.05534i −0.104203 + 0.115729i
\(698\) −0.930124 8.84954i −0.0352057 0.334960i
\(699\) 55.1770 40.0884i 2.08699 1.51628i
\(700\) 0 0
\(701\) −5.69007 + 17.5122i −0.214911 + 0.661428i 0.784249 + 0.620446i \(0.213049\pi\)
−0.999160 + 0.0409817i \(0.986951\pi\)
\(702\) 13.0258 5.79948i 0.491629 0.218887i
\(703\) −8.16492 14.1421i −0.307946 0.533378i
\(704\) −2.10081 + 27.4423i −0.0791774 + 1.03427i
\(705\) 37.3787 64.7419i 1.40776 2.43832i
\(706\) −5.35087 3.88764i −0.201383 0.146313i
\(707\) 0 0
\(708\) −2.20744 6.79380i −0.0829607 0.255327i
\(709\) −2.47336 23.5324i −0.0928889 0.883779i −0.937403 0.348246i \(-0.886777\pi\)
0.844514 0.535533i \(-0.179889\pi\)
\(710\) −11.2197 4.99532i −0.421067 0.187471i
\(711\) −32.8195 + 36.4497i −1.23083 + 1.36697i
\(712\) 9.12816 + 10.1379i 0.342092 + 0.379932i
\(713\) 0.514827 + 0.374044i 0.0192804 + 0.0140081i
\(714\) 0 0
\(715\) −23.5993 + 0.668389i −0.882565 + 0.0249963i
\(716\) −1.37226 + 2.37682i −0.0512838 + 0.0888261i
\(717\) 2.64108 25.1282i 0.0986331 0.938431i
\(718\) −30.9813 + 6.58528i −1.15621 + 0.245760i
\(719\) −10.8792 2.31244i −0.405726 0.0862396i 0.000528360 1.00000i \(-0.499832\pi\)
−0.406254 + 0.913760i \(0.633165\pi\)
\(720\) 27.6187 20.0662i 1.02929 0.747823i
\(721\) 0 0
\(722\) −5.63627 17.3467i −0.209760 0.645576i
\(723\) −36.2431 40.2520i −1.34790 1.49699i
\(724\) 1.25323 11.9237i 0.0465761 0.443142i
\(725\) −27.6865 47.9544i −1.02825 1.78098i
\(726\) 5.63025 + 34.5914i 0.208958 + 1.28381i
\(727\) 42.4803 1.57551 0.787753 0.615991i \(-0.211244\pi\)
0.787753 + 0.615991i \(0.211244\pi\)
\(728\) 0 0
\(729\) −12.8826 + 39.6485i −0.477133 + 1.46846i
\(730\) −4.62001 0.982014i −0.170994 0.0363460i
\(731\) 5.44173 + 2.42281i 0.201269 + 0.0896109i
\(732\) −2.13123 0.948886i −0.0787726 0.0350718i
\(733\) −21.7036 4.61323i −0.801639 0.170394i −0.211165 0.977450i \(-0.567726\pi\)
−0.590474 + 0.807057i \(0.701059\pi\)
\(734\) −10.4699 + 32.2231i −0.386452 + 1.18938i
\(735\) 0 0
\(736\) −3.24402 −0.119576
\(737\) −3.78814 + 7.01255i −0.139538 + 0.258311i
\(738\) 6.12854 + 10.6149i 0.225595 + 0.390741i
\(739\) −3.07817 + 29.2868i −0.113232 + 1.07733i 0.779394 + 0.626534i \(0.215527\pi\)
−0.892626 + 0.450798i \(0.851140\pi\)
\(740\) −17.6367 19.5875i −0.648338 0.720053i
\(741\) 2.95305 + 9.08855i 0.108483 + 0.333876i
\(742\) 0 0
\(743\) −13.6772 + 9.93704i −0.501766 + 0.364555i −0.809691 0.586856i \(-0.800365\pi\)
0.307925 + 0.951411i \(0.400365\pi\)
\(744\) −6.77648 1.44038i −0.248438 0.0528071i
\(745\) 10.6369 2.26094i 0.389706 0.0828346i
\(746\) −1.68013 + 15.9854i −0.0615141 + 0.585267i
\(747\) 41.5622 71.9879i 1.52068 2.63390i
\(748\) 4.01208 + 2.74484i 0.146696 + 0.100361i
\(749\) 0 0
\(750\) 17.3220 + 12.5851i 0.632508 + 0.459544i
\(751\) −1.03813 1.15296i −0.0378820 0.0420722i 0.723906 0.689899i \(-0.242345\pi\)
−0.761788 + 0.647826i \(0.775678\pi\)
\(752\) −9.66783 + 10.7372i −0.352550 + 0.391546i
\(753\) 7.48740 + 3.33361i 0.272856 + 0.121483i
\(754\) 1.91317 + 18.2026i 0.0696737 + 0.662901i
\(755\) 3.06188 + 9.42349i 0.111433 + 0.342956i
\(756\) 0 0
\(757\) −10.1505 7.37474i −0.368925 0.268040i 0.387840 0.921727i \(-0.373221\pi\)
−0.756765 + 0.653687i \(0.773221\pi\)
\(758\) 12.4860 21.6265i 0.453513 0.785508i
\(759\) −7.43768 + 1.80243i −0.269971 + 0.0654241i
\(760\) 8.62019 + 14.9306i 0.312687 + 0.541590i
\(761\) −8.25330 + 3.67460i −0.299182 + 0.133204i −0.550837 0.834613i \(-0.685692\pi\)
0.251656 + 0.967817i \(0.419025\pi\)
\(762\) −19.1503 + 58.9386i −0.693742 + 2.13512i
\(763\) 0 0
\(764\) 0.263115 0.191164i 0.00951916 0.00691608i
\(765\) −3.61362 34.3813i −0.130651 1.24306i
\(766\) 25.1149 27.8929i 0.907438 1.00781i
\(767\) −6.64155 + 1.41171i −0.239813 + 0.0509737i
\(768\) 39.8235 17.7305i 1.43701 0.639796i
\(769\) −16.1383