Properties

Label 690.2.q.a.11.13
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(0.559698 - 1.63913i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.68152 - 0.415331i) q^{6} +(-2.94981 + 2.55602i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.37348 - 1.83483i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(0.559698 - 1.63913i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.68152 - 0.415331i) q^{6} +(-2.94981 + 2.55602i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.37348 - 1.83483i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(-1.62713 - 1.04569i) q^{11} +(1.25850 + 1.19004i) q^{12} +(-1.51588 + 1.74942i) q^{13} +(-3.74505 - 1.09965i) q^{14} +(-0.0752308 + 1.73042i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-2.62149 - 5.74026i) q^{17} +(0.260361 - 2.98868i) q^{18} +(-3.93948 - 1.79910i) q^{19} +(0.142315 - 0.989821i) q^{20} +(2.53865 + 6.26571i) q^{21} -1.93417i q^{22} +(2.02820 - 4.34585i) q^{23} +(-0.320729 + 1.70210i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-2.29125 - 0.329432i) q^{26} +(-4.33595 + 2.86348i) q^{27} +(-1.09965 - 3.74505i) q^{28} +(-3.24492 + 1.48190i) q^{29} +(-1.49639 + 0.872245i) q^{30} +(0.896737 + 6.23694i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-2.62472 + 2.08180i) q^{33} +(3.41173 - 5.30875i) q^{34} +(2.11021 - 3.28354i) q^{35} +(2.65500 - 1.39677i) q^{36} +(-1.18792 + 4.04568i) q^{37} +(-0.616344 - 4.28677i) q^{38} +(2.01909 + 3.46387i) q^{39} +(0.909632 - 0.415415i) q^{40} +(1.79159 + 6.10159i) q^{41} +(-3.89856 + 5.52315i) q^{42} +(-6.08292 - 0.874592i) q^{43} +(1.62713 - 1.04569i) q^{44} +(2.79427 + 1.09182i) q^{45} +(4.75249 - 0.643315i) q^{46} +1.53681i q^{47} +(-1.60529 + 0.650409i) q^{48} +(1.17191 - 8.15081i) q^{49} +(0.909632 + 0.415415i) q^{50} +(-10.8762 + 1.08414i) q^{51} +(-0.961609 - 2.10563i) q^{52} +(-0.712176 - 0.821895i) q^{53} +(-4.75310 - 2.09952i) q^{54} +(1.85582 + 0.544919i) q^{55} +(2.55602 - 2.94981i) q^{56} +(-5.15387 + 5.45036i) q^{57} +(-3.00099 - 1.92862i) q^{58} +(4.45591 + 3.86107i) q^{59} +(-1.54279 - 0.787273i) q^{60} +(11.2928 - 1.62366i) q^{61} +(-4.76204 + 4.12633i) q^{62} +(11.6912 - 0.654257i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.961609 - 2.10563i) q^{65} +(-3.17035 - 1.08255i) q^{66} +(3.69201 + 5.74488i) q^{67} +6.31052 q^{68} +(-5.98822 - 5.75684i) q^{69} +3.90316 q^{70} +(0.0295383 + 0.0459624i) q^{71} +(2.61044 + 1.47838i) q^{72} +(-4.05026 + 8.86883i) q^{73} +(-4.04568 + 1.18792i) q^{74} +(-0.415331 - 1.68152i) q^{75} +(3.27304 - 2.83610i) q^{76} +(7.47253 - 1.07439i) q^{77} +(-1.82239 + 3.57127i) q^{78} +(-4.69071 - 4.06452i) q^{79} +(0.841254 + 0.540641i) q^{80} +(2.26678 + 8.70986i) q^{81} +(-4.16438 + 4.80595i) q^{82} +(-11.9112 - 3.49743i) q^{83} +(-6.75408 - 0.293638i) q^{84} +(4.13251 + 4.76918i) q^{85} +(-2.55292 - 5.59012i) q^{86} +(0.612856 + 6.14825i) q^{87} +(1.75938 + 0.803484i) q^{88} +(1.74485 - 12.1357i) q^{89} +(0.592194 + 2.94097i) q^{90} -9.03508i q^{91} +(3.11058 + 3.65025i) q^{92} +(10.7250 + 2.02094i) q^{93} +(-1.29284 + 0.830860i) q^{94} +(4.28677 + 0.616344i) q^{95} +(-1.41505 - 0.998822i) q^{96} +(-4.23230 - 14.4139i) q^{97} +(7.49048 - 3.42079i) q^{98} +(1.94328 + 5.46743i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.540641 + 0.841254i 0.382291 + 0.594856i
\(3\) 0.559698 1.63913i 0.323142 0.946351i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) 1.68152 0.415331i 0.686477 0.169558i
\(7\) −2.94981 + 2.55602i −1.11492 + 0.966086i −0.999629 0.0272453i \(-0.991326\pi\)
−0.115294 + 0.993331i \(0.536781\pi\)
\(8\) −0.989821 + 0.142315i −0.349955 + 0.0503159i
\(9\) −2.37348 1.83483i −0.791159 0.611611i
\(10\) −0.755750 0.654861i −0.238989 0.207085i
\(11\) −1.62713 1.04569i −0.490598 0.315288i 0.271848 0.962340i \(-0.412365\pi\)
−0.762446 + 0.647052i \(0.776002\pi\)
\(12\) 1.25850 + 1.19004i 0.363296 + 0.343534i
\(13\) −1.51588 + 1.74942i −0.420430 + 0.485202i −0.925968 0.377602i \(-0.876749\pi\)
0.505538 + 0.862804i \(0.331294\pi\)
\(14\) −3.74505 1.09965i −1.00091 0.293893i
\(15\) −0.0752308 + 1.73042i −0.0194245 + 0.446792i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −2.62149 5.74026i −0.635804 1.39222i −0.903448 0.428698i \(-0.858972\pi\)
0.267644 0.963518i \(-0.413755\pi\)
\(18\) 0.260361 2.98868i 0.0613677 0.704439i
\(19\) −3.93948 1.79910i −0.903779 0.412742i −0.0913610 0.995818i \(-0.529122\pi\)
−0.812418 + 0.583076i \(0.801849\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) 2.53865 + 6.26571i 0.553978 + 1.36729i
\(22\) 1.93417i 0.412367i
\(23\) 2.02820 4.34585i 0.422909 0.906172i
\(24\) −0.320729 + 1.70210i −0.0654685 + 0.347439i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) −2.29125 0.329432i −0.449352 0.0646070i
\(27\) −4.33595 + 2.86348i −0.834455 + 0.551077i
\(28\) −1.09965 3.74505i −0.207814 0.707748i
\(29\) −3.24492 + 1.48190i −0.602566 + 0.275183i −0.693250 0.720697i \(-0.743822\pi\)
0.0906841 + 0.995880i \(0.471095\pi\)
\(30\) −1.49639 + 0.872245i −0.273202 + 0.159250i
\(31\) 0.896737 + 6.23694i 0.161059 + 1.12019i 0.896643 + 0.442755i \(0.145999\pi\)
−0.735584 + 0.677434i \(0.763092\pi\)
\(32\) 0.281733 0.959493i 0.0498038 0.169616i
\(33\) −2.62472 + 2.08180i −0.456906 + 0.362395i
\(34\) 3.41173 5.30875i 0.585106 0.910443i
\(35\) 2.11021 3.28354i 0.356690 0.555020i
\(36\) 2.65500 1.39677i 0.442500 0.232795i
\(37\) −1.18792 + 4.04568i −0.195293 + 0.665105i 0.802373 + 0.596822i \(0.203570\pi\)
−0.997666 + 0.0682831i \(0.978248\pi\)
\(38\) −0.616344 4.28677i −0.0999842 0.695406i
\(39\) 2.01909 + 3.46387i 0.323313 + 0.554663i
\(40\) 0.909632 0.415415i 0.143825 0.0656829i
\(41\) 1.79159 + 6.10159i 0.279799 + 0.952908i 0.972737 + 0.231911i \(0.0744978\pi\)
−0.692938 + 0.720997i \(0.743684\pi\)
\(42\) −3.89856 + 5.52315i −0.601560 + 0.852240i
\(43\) −6.08292 0.874592i −0.927636 0.133374i −0.338095 0.941112i \(-0.609782\pi\)
−0.589542 + 0.807738i \(0.700692\pi\)
\(44\) 1.62713 1.04569i 0.245299 0.157644i
\(45\) 2.79427 + 1.09182i 0.416545 + 0.162759i
\(46\) 4.75249 0.643315i 0.700716 0.0948516i
\(47\) 1.53681i 0.224166i 0.993699 + 0.112083i \(0.0357523\pi\)
−0.993699 + 0.112083i \(0.964248\pi\)
\(48\) −1.60529 + 0.650409i −0.231704 + 0.0938784i
\(49\) 1.17191 8.15081i 0.167416 1.16440i
\(50\) 0.909632 + 0.415415i 0.128641 + 0.0587486i
\(51\) −10.8762 + 1.08414i −1.52298 + 0.151810i
\(52\) −0.961609 2.10563i −0.133351 0.291998i
\(53\) −0.712176 0.821895i −0.0978249 0.112896i 0.704726 0.709479i \(-0.251070\pi\)
−0.802551 + 0.596584i \(0.796524\pi\)
\(54\) −4.75310 2.09952i −0.646816 0.285709i
\(55\) 1.85582 + 0.544919i 0.250239 + 0.0734769i
\(56\) 2.55602 2.94981i 0.341563 0.394185i
\(57\) −5.15387 + 5.45036i −0.682647 + 0.721917i
\(58\) −3.00099 1.92862i −0.394050 0.253240i
\(59\) 4.45591 + 3.86107i 0.580110 + 0.502669i 0.894765 0.446538i \(-0.147343\pi\)
−0.314654 + 0.949206i \(0.601889\pi\)
\(60\) −1.54279 0.787273i −0.199173 0.101637i
\(61\) 11.2928 1.62366i 1.44590 0.207889i 0.625743 0.780029i \(-0.284796\pi\)
0.820156 + 0.572140i \(0.193887\pi\)
\(62\) −4.76204 + 4.12633i −0.604780 + 0.524044i
\(63\) 11.6912 0.654257i 1.47295 0.0824286i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 0.961609 2.10563i 0.119273 0.261171i
\(66\) −3.17035 1.08255i −0.390243 0.133253i
\(67\) 3.69201 + 5.74488i 0.451051 + 0.701848i 0.990090 0.140432i \(-0.0448491\pi\)
−0.539040 + 0.842280i \(0.681213\pi\)
\(68\) 6.31052 0.765264
\(69\) −5.98822 5.75684i −0.720897 0.693042i
\(70\) 3.90316 0.466516
\(71\) 0.0295383 + 0.0459624i 0.00350555 + 0.00545474i 0.843002 0.537911i \(-0.180786\pi\)
−0.839496 + 0.543365i \(0.817150\pi\)
\(72\) 2.61044 + 1.47838i 0.307643 + 0.174228i
\(73\) −4.05026 + 8.86883i −0.474047 + 1.03802i 0.510011 + 0.860168i \(0.329641\pi\)
−0.984058 + 0.177850i \(0.943086\pi\)
\(74\) −4.04568 + 1.18792i −0.470301 + 0.138093i
\(75\) −0.415331 1.68152i −0.0479583 0.194165i
\(76\) 3.27304 2.83610i 0.375443 0.325323i
\(77\) 7.47253 1.07439i 0.851574 0.122438i
\(78\) −1.82239 + 3.57127i −0.206345 + 0.404367i
\(79\) −4.69071 4.06452i −0.527746 0.457294i 0.349775 0.936834i \(-0.386258\pi\)
−0.877520 + 0.479540i \(0.840804\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) 2.26678 + 8.70986i 0.251864 + 0.967763i
\(82\) −4.16438 + 4.80595i −0.459879 + 0.530728i
\(83\) −11.9112 3.49743i −1.30742 0.383893i −0.447482 0.894293i \(-0.647679\pi\)
−0.859937 + 0.510400i \(0.829497\pi\)
\(84\) −6.75408 0.293638i −0.736931 0.0320385i
\(85\) 4.13251 + 4.76918i 0.448234 + 0.517290i
\(86\) −2.55292 5.59012i −0.275289 0.602798i
\(87\) 0.612856 + 6.14825i 0.0657050 + 0.659162i
\(88\) 1.75938 + 0.803484i 0.187551 + 0.0856516i
\(89\) 1.74485 12.1357i 0.184954 1.28638i −0.659888 0.751364i \(-0.729396\pi\)
0.844842 0.535016i \(-0.179695\pi\)
\(90\) 0.592194 + 2.94097i 0.0624227 + 0.310005i
\(91\) 9.03508i 0.947134i
\(92\) 3.11058 + 3.65025i 0.324300 + 0.380564i
\(93\) 10.7250 + 2.02094i 1.11214 + 0.209562i
\(94\) −1.29284 + 0.830860i −0.133347 + 0.0856967i
\(95\) 4.28677 + 0.616344i 0.439813 + 0.0632356i
\(96\) −1.41505 0.998822i −0.144423 0.101942i
\(97\) −4.23230 14.4139i −0.429725 1.46351i −0.835477 0.549525i \(-0.814809\pi\)
0.405752 0.913983i \(-0.367010\pi\)
\(98\) 7.49048 3.42079i 0.756653 0.345552i
\(99\) 1.94328 + 5.46743i 0.195307 + 0.549498i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 2.66597 9.07945i 0.265274 0.903439i −0.713872 0.700277i \(-0.753060\pi\)
0.979145 0.203162i \(-0.0651219\pi\)
\(102\) −6.79218 8.56355i −0.672526 0.847918i
\(103\) −5.26160 + 8.18722i −0.518441 + 0.806710i −0.997470 0.0710889i \(-0.977353\pi\)
0.479029 + 0.877799i \(0.340989\pi\)
\(104\) 1.25148 1.94735i 0.122718 0.190953i
\(105\) −4.20107 5.29669i −0.409982 0.516904i
\(106\) 0.306390 1.04347i 0.0297593 0.101351i
\(107\) −0.242893 1.68936i −0.0234813 0.163316i 0.974707 0.223488i \(-0.0717443\pi\)
−0.998188 + 0.0601715i \(0.980835\pi\)
\(108\) −0.803490 5.13365i −0.0773159 0.493986i
\(109\) 9.90294 4.52252i 0.948530 0.433179i 0.119781 0.992800i \(-0.461781\pi\)
0.828748 + 0.559621i \(0.189053\pi\)
\(110\) 0.544919 + 1.85582i 0.0519560 + 0.176946i
\(111\) 5.96651 + 4.21151i 0.566316 + 0.399739i
\(112\) 3.86343 + 0.555477i 0.365060 + 0.0524876i
\(113\) 11.0302 7.08867i 1.03763 0.666846i 0.0932327 0.995644i \(-0.470280\pi\)
0.944400 + 0.328798i \(0.106644\pi\)
\(114\) −7.37152 1.38903i −0.690407 0.130094i
\(115\) −0.721674 + 4.74122i −0.0672965 + 0.442121i
\(116\) 3.56729i 0.331214i
\(117\) 6.80780 1.37082i 0.629381 0.126732i
\(118\) −0.839091 + 5.83601i −0.0772446 + 0.537248i
\(119\) 22.4051 + 10.2321i 2.05387 + 0.937972i
\(120\) −0.171799 1.72351i −0.0156830 0.157334i
\(121\) −3.01549 6.60300i −0.274135 0.600273i
\(122\) 7.47128 + 8.62232i 0.676418 + 0.780628i
\(123\) 11.0040 + 0.478406i 0.992200 + 0.0431364i
\(124\) −6.04584 1.77522i −0.542933 0.159419i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 6.87112 + 9.48153i 0.612128 + 0.844681i
\(127\) −15.4730 9.94391i −1.37301 0.882379i −0.374023 0.927419i \(-0.622022\pi\)
−0.998985 + 0.0450401i \(0.985658\pi\)
\(128\) 0.755750 + 0.654861i 0.0667995 + 0.0578821i
\(129\) −4.83816 + 9.48117i −0.425977 + 0.834770i
\(130\) 2.29125 0.329432i 0.200956 0.0288931i
\(131\) 6.54865 5.67444i 0.572158 0.495778i −0.320051 0.947400i \(-0.603700\pi\)
0.892209 + 0.451622i \(0.149155\pi\)
\(132\) −0.803322 3.25234i −0.0699202 0.283080i
\(133\) 16.2193 4.76240i 1.40639 0.412953i
\(134\) −2.83685 + 6.21183i −0.245066 + 0.536620i
\(135\) 3.35358 3.96907i 0.288630 0.341603i
\(136\) 3.41173 + 5.30875i 0.292553 + 0.455222i
\(137\) −6.85187 −0.585395 −0.292697 0.956205i \(-0.594553\pi\)
−0.292697 + 0.956205i \(0.594553\pi\)
\(138\) 1.60548 8.15000i 0.136668 0.693774i
\(139\) −1.54645 −0.131168 −0.0655839 0.997847i \(-0.520891\pi\)
−0.0655839 + 0.997847i \(0.520891\pi\)
\(140\) 2.11021 + 3.28354i 0.178345 + 0.277510i
\(141\) 2.51902 + 0.860147i 0.212140 + 0.0724375i
\(142\) −0.0226965 + 0.0496983i −0.00190465 + 0.00417059i
\(143\) 4.29589 1.26139i 0.359240 0.105482i
\(144\) 0.167623 + 2.99531i 0.0139685 + 0.249609i
\(145\) 2.69597 2.33608i 0.223889 0.194001i
\(146\) −9.65067 + 1.38756i −0.798695 + 0.114835i
\(147\) −12.7043 6.48290i −1.04783 0.534701i
\(148\) −3.18660 2.76120i −0.261937 0.226970i
\(149\) 1.21829 + 0.782949i 0.0998064 + 0.0641417i 0.589592 0.807701i \(-0.299289\pi\)
−0.489786 + 0.871843i \(0.662925\pi\)
\(150\) 1.19004 1.25850i 0.0971661 0.102756i
\(151\) −8.98064 + 10.3642i −0.730834 + 0.843428i −0.992565 0.121713i \(-0.961161\pi\)
0.261731 + 0.965141i \(0.415707\pi\)
\(152\) 4.15542 + 1.22014i 0.337049 + 0.0989665i
\(153\) −4.31037 + 18.4343i −0.348473 + 1.49033i
\(154\) 4.94379 + 5.70543i 0.398382 + 0.459757i
\(155\) −2.61756 5.73166i −0.210248 0.460378i
\(156\) −3.98961 + 0.397683i −0.319424 + 0.0318401i
\(157\) −4.22579 1.92985i −0.337255 0.154019i 0.239587 0.970875i \(-0.422988\pi\)
−0.576842 + 0.816856i \(0.695715\pi\)
\(158\) 0.883305 6.14352i 0.0702719 0.488752i
\(159\) −1.74579 + 0.707334i −0.138450 + 0.0560952i
\(160\) 1.00000i 0.0790569i
\(161\) 5.12530 + 18.0035i 0.403930 + 1.41888i
\(162\) −6.10169 + 6.61584i −0.479394 + 0.519790i
\(163\) −16.8553 + 10.8322i −1.32021 + 0.848447i −0.995257 0.0972834i \(-0.968985\pi\)
−0.324952 + 0.945730i \(0.605348\pi\)
\(164\) −6.29445 0.905006i −0.491514 0.0706691i
\(165\) 1.93189 2.73694i 0.150398 0.213071i
\(166\) −3.49743 11.9112i −0.271453 0.924485i
\(167\) 0.756192 0.345341i 0.0585159 0.0267233i −0.385942 0.922523i \(-0.626124\pi\)
0.444458 + 0.895800i \(0.353396\pi\)
\(168\) −3.40451 5.84065i −0.262664 0.450616i
\(169\) 1.08752 + 7.56385i 0.0836552 + 0.581835i
\(170\) −1.77788 + 6.05490i −0.136357 + 0.464390i
\(171\) 6.04921 + 11.4984i 0.462595 + 0.879305i
\(172\) 3.32249 5.16990i 0.253338 0.394201i
\(173\) −5.57100 + 8.66864i −0.423555 + 0.659065i −0.985803 0.167904i \(-0.946300\pi\)
0.562248 + 0.826969i \(0.309937\pi\)
\(174\) −4.84090 + 3.83956i −0.366988 + 0.291077i
\(175\) −1.09965 + 3.74505i −0.0831254 + 0.283099i
\(176\) 0.275261 + 1.91448i 0.0207486 + 0.144310i
\(177\) 8.82275 5.14278i 0.663159 0.386555i
\(178\) 11.1525 5.09319i 0.835917 0.381750i
\(179\) 7.35072 + 25.0343i 0.549419 + 1.87115i 0.487612 + 0.873060i \(0.337868\pi\)
0.0618064 + 0.998088i \(0.480314\pi\)
\(180\) −2.15394 + 2.08819i −0.160545 + 0.155645i
\(181\) 20.7846 + 2.98837i 1.54491 + 0.222124i 0.861441 0.507858i \(-0.169563\pi\)
0.683466 + 0.729982i \(0.260472\pi\)
\(182\) 7.60080 4.88473i 0.563408 0.362081i
\(183\) 3.65918 19.4191i 0.270495 1.43550i
\(184\) −1.38907 + 4.59026i −0.102404 + 0.338398i
\(185\) 4.21648i 0.310001i
\(186\) 4.09828 + 10.1151i 0.300500 + 0.741674i
\(187\) −1.73704 + 12.0814i −0.127025 + 0.883479i
\(188\) −1.39793 0.638412i −0.101954 0.0465610i
\(189\) 5.47112 19.5295i 0.397965 1.42056i
\(190\) 1.79910 + 3.93948i 0.130520 + 0.285800i
\(191\) −16.9708 19.5854i −1.22796 1.41715i −0.876815 0.480828i \(-0.840336\pi\)
−0.351150 0.936319i \(-0.614209\pi\)
\(192\) 0.0752308 1.73042i 0.00542931 0.124882i
\(193\) −5.03861 1.47947i −0.362687 0.106495i 0.0953114 0.995448i \(-0.469615\pi\)
−0.457998 + 0.888953i \(0.651433\pi\)
\(194\) 9.83758 11.3532i 0.706297 0.815110i
\(195\) −2.91318 2.75472i −0.208617 0.197269i
\(196\) 6.92741 + 4.45198i 0.494815 + 0.317998i
\(197\) −9.40784 8.15194i −0.670281 0.580802i 0.251809 0.967777i \(-0.418974\pi\)
−0.922090 + 0.386975i \(0.873520\pi\)
\(198\) −3.54888 + 4.59071i −0.252208 + 0.326247i
\(199\) −27.3942 + 3.93869i −1.94192 + 0.279207i −0.998611 0.0526960i \(-0.983219\pi\)
−0.943314 + 0.331903i \(0.892309\pi\)
\(200\) −0.755750 + 0.654861i −0.0534396 + 0.0463056i
\(201\) 11.4830 2.83628i 0.809948 0.200055i
\(202\) 9.07945 2.66597i 0.638828 0.187577i
\(203\) 5.78410 12.6654i 0.405964 0.888938i
\(204\) 3.53199 10.3438i 0.247289 0.724208i
\(205\) −3.43803 5.34968i −0.240123 0.373638i
\(206\) −9.73216 −0.678072
\(207\) −12.7878 + 6.59337i −0.888813 + 0.458271i
\(208\) 2.31481 0.160504
\(209\) 4.52873 + 7.04685i 0.313259 + 0.487441i
\(210\) 2.18459 6.39777i 0.150751 0.441488i
\(211\) −1.38096 + 3.02388i −0.0950691 + 0.208172i −0.951192 0.308600i \(-0.900139\pi\)
0.856123 + 0.516773i \(0.172867\pi\)
\(212\) 1.04347 0.306390i 0.0716658 0.0210430i
\(213\) 0.0918708 0.0226919i 0.00629488 0.00155482i
\(214\) 1.28986 1.11767i 0.0881730 0.0764024i
\(215\) 6.08292 0.874592i 0.414852 0.0596467i
\(216\) 3.88430 3.45140i 0.264293 0.234838i
\(217\) −18.5870 16.1057i −1.26177 1.09333i
\(218\) 9.15852 + 5.88582i 0.620293 + 0.398638i
\(219\) 12.2702 + 11.6028i 0.829145 + 0.784042i
\(220\) −1.26661 + 1.46175i −0.0853950 + 0.0985511i
\(221\) 14.0160 + 4.11546i 0.942817 + 0.276836i
\(222\) −0.317209 + 7.29626i −0.0212897 + 0.489693i
\(223\) −0.952838 1.09963i −0.0638067 0.0736369i 0.722949 0.690902i \(-0.242786\pi\)
−0.786756 + 0.617265i \(0.788241\pi\)
\(224\) 1.62143 + 3.55044i 0.108336 + 0.237223i
\(225\) −2.98868 0.260361i −0.199245 0.0173574i
\(226\) 11.9267 + 5.44676i 0.793355 + 0.362313i
\(227\) −3.18102 + 22.1245i −0.211132 + 1.46846i 0.558253 + 0.829671i \(0.311472\pi\)
−0.769385 + 0.638785i \(0.779437\pi\)
\(228\) −2.81682 6.95229i −0.186549 0.460426i
\(229\) 25.5963i 1.69145i 0.533616 + 0.845727i \(0.320833\pi\)
−0.533616 + 0.845727i \(0.679167\pi\)
\(230\) −4.37874 + 1.95619i −0.288725 + 0.128987i
\(231\) 2.42130 12.8498i 0.159310 0.845452i
\(232\) 3.00099 1.92862i 0.197025 0.126620i
\(233\) −24.4232 3.51152i −1.60001 0.230047i −0.716204 0.697891i \(-0.754122\pi\)
−0.883811 + 0.467844i \(0.845031\pi\)
\(234\) 4.83378 + 4.98597i 0.315994 + 0.325943i
\(235\) −0.432968 1.47455i −0.0282437 0.0961893i
\(236\) −5.36321 + 2.44929i −0.349115 + 0.159435i
\(237\) −9.28764 + 5.41376i −0.603297 + 0.351662i
\(238\) 3.50535 + 24.3803i 0.227218 + 1.58034i
\(239\) 1.95989 6.67479i 0.126775 0.431756i −0.871505 0.490387i \(-0.836855\pi\)
0.998280 + 0.0586311i \(0.0186736\pi\)
\(240\) 1.35703 1.07633i 0.0875957 0.0694765i
\(241\) 3.52414 5.48367i 0.227010 0.353234i −0.709000 0.705209i \(-0.750853\pi\)
0.936010 + 0.351974i \(0.114490\pi\)
\(242\) 3.92450 6.10664i 0.252277 0.392550i
\(243\) 15.5453 + 1.15935i 0.997231 + 0.0743725i
\(244\) −3.21428 + 10.9468i −0.205773 + 0.700798i
\(245\) 1.17191 + 8.15081i 0.0748706 + 0.520736i
\(246\) 5.54677 + 9.51583i 0.353649 + 0.606707i
\(247\) 9.11917 4.16458i 0.580239 0.264986i
\(248\) −1.77522 6.04584i −0.112727 0.383911i
\(249\) −12.3994 + 17.5664i −0.785779 + 1.11323i
\(250\) −0.989821 0.142315i −0.0626018 0.00900078i
\(251\) 4.01980 2.58337i 0.253728 0.163061i −0.407594 0.913163i \(-0.633632\pi\)
0.661322 + 0.750102i \(0.269996\pi\)
\(252\) −4.26156 + 10.9065i −0.268453 + 0.687042i
\(253\) −7.84456 + 4.95039i −0.493183 + 0.311228i
\(254\) 18.3928i 1.15407i
\(255\) 10.1302 4.10442i 0.634381 0.257029i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 4.52121 + 2.06477i 0.282025 + 0.128797i 0.551406 0.834237i \(-0.314092\pi\)
−0.269380 + 0.963034i \(0.586819\pi\)
\(258\) −10.5918 + 1.05578i −0.659415 + 0.0657303i
\(259\) −6.83672 14.9703i −0.424813 0.930211i
\(260\) 1.51588 + 1.74942i 0.0940110 + 0.108494i
\(261\) 10.4208 + 2.43662i 0.645030 + 0.150823i
\(262\) 8.31411 + 2.44124i 0.513647 + 0.150820i
\(263\) −19.7613 + 22.8057i −1.21853 + 1.40626i −0.332204 + 0.943208i \(0.607792\pi\)
−0.886330 + 0.463055i \(0.846753\pi\)
\(264\) 2.30174 2.43415i 0.141662 0.149811i
\(265\) 0.914882 + 0.587959i 0.0562008 + 0.0361180i
\(266\) 12.7752 + 11.0698i 0.783296 + 0.678730i
\(267\) −18.9153 9.65235i −1.15760 0.590714i
\(268\) −6.75944 + 0.971861i −0.412899 + 0.0593658i
\(269\) −6.04625 + 5.23911i −0.368646 + 0.319434i −0.819408 0.573210i \(-0.805698\pi\)
0.450762 + 0.892644i \(0.351152\pi\)
\(270\) 5.15207 + 0.675374i 0.313545 + 0.0411020i
\(271\) 30.2788 8.89065i 1.83930 0.540068i 0.839310 0.543653i \(-0.182959\pi\)
0.999994 + 0.00358477i \(0.00114107\pi\)
\(272\) −2.62149 + 5.74026i −0.158951 + 0.348054i
\(273\) −14.8097 5.05692i −0.896321 0.306059i
\(274\) −3.70440 5.76416i −0.223791 0.348226i
\(275\) −1.93417 −0.116635
\(276\) 7.72420 3.05560i 0.464942 0.183926i
\(277\) 17.9196 1.07668 0.538342 0.842726i \(-0.319051\pi\)
0.538342 + 0.842726i \(0.319051\pi\)
\(278\) −0.836072 1.30095i −0.0501443 0.0780260i
\(279\) 9.31536 16.4486i 0.557696 0.984752i
\(280\) −1.62143 + 3.55044i −0.0968990 + 0.212179i
\(281\) 10.6213 3.11869i 0.633613 0.186046i 0.0508743 0.998705i \(-0.483799\pi\)
0.582739 + 0.812659i \(0.301981\pi\)
\(282\) 0.638283 + 2.58417i 0.0380092 + 0.153885i
\(283\) 5.38019 4.66196i 0.319819 0.277125i −0.480124 0.877201i \(-0.659408\pi\)
0.799943 + 0.600076i \(0.204863\pi\)
\(284\) −0.0540795 + 0.00777546i −0.00320903 + 0.000461389i
\(285\) 3.40956 6.68159i 0.201965 0.395783i
\(286\) 3.38368 + 2.93197i 0.200081 + 0.173371i
\(287\) −20.8807 13.4192i −1.23255 0.792109i
\(288\) −2.42919 + 1.76040i −0.143142 + 0.103733i
\(289\) −14.9457 + 17.2483i −0.879159 + 1.01460i
\(290\) 3.42279 + 1.00502i 0.200993 + 0.0590168i
\(291\) −25.9950 1.13015i −1.52385 0.0662504i
\(292\) −6.38483 7.36849i −0.373644 0.431208i
\(293\) −0.0544576 0.119245i −0.00318144 0.00696639i 0.908035 0.418895i \(-0.137583\pi\)
−0.911216 + 0.411929i \(0.864855\pi\)
\(294\) −1.41470 14.1925i −0.0825070 0.827721i
\(295\) −5.36321 2.44929i −0.312258 0.142603i
\(296\) 0.600067 4.17356i 0.0348782 0.242583i
\(297\) 10.0495 0.125174i 0.583129 0.00726331i
\(298\) 1.44819i 0.0838912i
\(299\) 4.52821 + 10.1360i 0.261873 + 0.586178i
\(300\) 1.70210 + 0.320729i 0.0982706 + 0.0185173i
\(301\) 20.1789 12.9682i 1.16309 0.747475i
\(302\) −13.5742 1.95168i −0.781109 0.112307i
\(303\) −13.3902 9.45161i −0.769249 0.542981i
\(304\) 1.22014 + 4.15542i 0.0699799 + 0.238330i
\(305\) −10.3780 + 4.73945i −0.594240 + 0.271380i
\(306\) −17.8383 + 6.34025i −1.01975 + 0.362448i
\(307\) −2.17055 15.0965i −0.123880 0.861605i −0.953094 0.302674i \(-0.902121\pi\)
0.829214 0.558931i \(-0.188788\pi\)
\(308\) −2.12690 + 7.24357i −0.121192 + 0.412741i
\(309\) 10.4750 + 13.2068i 0.595901 + 0.751309i
\(310\) 3.40662 5.30081i 0.193483 0.301066i
\(311\) 7.78247 12.1098i 0.441303 0.686682i −0.547349 0.836905i \(-0.684363\pi\)
0.988652 + 0.150223i \(0.0479992\pi\)
\(312\) −2.49150 3.14127i −0.141053 0.177839i
\(313\) 5.20775 17.7360i 0.294359 1.00250i −0.670975 0.741480i \(-0.734124\pi\)
0.965335 0.261016i \(-0.0840574\pi\)
\(314\) −0.661138 4.59832i −0.0373102 0.259498i
\(315\) −11.0333 + 3.92154i −0.621655 + 0.220954i
\(316\) 5.64581 2.57835i 0.317601 0.145044i
\(317\) −4.58792 15.6250i −0.257683 0.877588i −0.982121 0.188248i \(-0.939719\pi\)
0.724438 0.689340i \(-0.242099\pi\)
\(318\) −1.53889 1.08624i −0.0862969 0.0609134i
\(319\) 6.82951 + 0.981936i 0.382379 + 0.0549778i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) −2.90502 0.547398i −0.162142 0.0305528i
\(322\) −12.3746 + 14.0451i −0.689610 + 0.782704i
\(323\) 27.3299i 1.52068i
\(324\) −8.86442 1.55627i −0.492468 0.0864596i
\(325\) −0.329432 + 2.29125i −0.0182736 + 0.127096i
\(326\) −18.2253 8.32323i −1.00941 0.460981i
\(327\) −1.87033 18.7634i −0.103430 1.03762i
\(328\) −2.64170 5.78452i −0.145863 0.319396i
\(329\) −3.92811 4.53328i −0.216564 0.249928i
\(330\) 3.34692 + 0.145509i 0.184242 + 0.00801002i
\(331\) −15.5433 4.56393i −0.854338 0.250856i −0.174897 0.984587i \(-0.555959\pi\)
−0.679441 + 0.733730i \(0.737778\pi\)
\(332\) 8.12945 9.38189i 0.446162 0.514898i
\(333\) 10.2426 7.42269i 0.561293 0.406761i
\(334\) 0.699348 + 0.449444i 0.0382666 + 0.0245925i
\(335\) −5.16098 4.47201i −0.281974 0.244332i
\(336\) 3.07285 6.02175i 0.167638 0.328513i
\(337\) −5.62293 + 0.808455i −0.306300 + 0.0440394i −0.293751 0.955882i \(-0.594904\pi\)
−0.0125492 + 0.999921i \(0.503995\pi\)
\(338\) −5.77516 + 5.00421i −0.314127 + 0.272193i
\(339\) −5.44566 22.0474i −0.295768 1.19745i
\(340\) −6.05490 + 1.77788i −0.328373 + 0.0964191i
\(341\) 5.06282 11.0860i 0.274167 0.600342i
\(342\) −6.40262 + 11.3054i −0.346214 + 0.611328i
\(343\) 2.60532 + 4.05395i 0.140674 + 0.218893i
\(344\) 6.14547 0.331342
\(345\) 7.36755 + 3.83657i 0.396655 + 0.206554i
\(346\) −10.3044 −0.553970
\(347\) −16.8146 26.1640i −0.902654 1.40456i −0.914482 0.404627i \(-0.867401\pi\)
0.0118281 0.999930i \(-0.496235\pi\)
\(348\) −5.84724 1.99660i −0.313445 0.107029i
\(349\) 1.39547 3.05566i 0.0746979 0.163565i −0.868599 0.495515i \(-0.834979\pi\)
0.943297 + 0.331950i \(0.107706\pi\)
\(350\) −3.74505 + 1.09965i −0.200181 + 0.0587786i
\(351\) 1.56337 11.9261i 0.0834463 0.636568i
\(352\) −1.46175 + 1.26661i −0.0779115 + 0.0675107i
\(353\) 19.7400 2.83819i 1.05065 0.151061i 0.404710 0.914445i \(-0.367373\pi\)
0.645945 + 0.763384i \(0.276463\pi\)
\(354\) 9.09632 + 4.64178i 0.483464 + 0.246708i
\(355\) −0.0412909 0.0357787i −0.00219149 0.00189894i
\(356\) 10.3142 + 6.62851i 0.546650 + 0.351311i
\(357\) 29.3118 30.9980i 1.55134 1.64059i
\(358\) −17.0861 + 19.7184i −0.903026 + 1.04215i
\(359\) −33.9002 9.95400i −1.78918 0.525352i −0.792737 0.609564i \(-0.791345\pi\)
−0.996448 + 0.0842117i \(0.973163\pi\)
\(360\) −2.92121 0.683045i −0.153961 0.0359996i
\(361\) −0.159616 0.184207i −0.00840087 0.00969512i
\(362\) 8.72302 + 19.1007i 0.458472 + 1.00391i
\(363\) −12.5109 + 1.24708i −0.656653 + 0.0654550i
\(364\) 8.21860 + 3.75331i 0.430772 + 0.196727i
\(365\) 1.38756 9.65067i 0.0726281 0.505139i
\(366\) 18.3147 7.42048i 0.957326 0.387875i
\(367\) 21.0372i 1.09813i −0.835778 0.549067i \(-0.814983\pi\)
0.835778 0.549067i \(-0.185017\pi\)
\(368\) −4.61256 + 1.31312i −0.240446 + 0.0684509i
\(369\) 6.94310 17.7692i 0.361444 0.925030i
\(370\) 3.54712 2.27960i 0.184406 0.118511i
\(371\) 4.20156 + 0.604094i 0.218134 + 0.0313630i
\(372\) −6.29366 + 8.91632i −0.326311 + 0.462290i
\(373\) 7.82227 + 26.6402i 0.405022 + 1.37938i 0.869561 + 0.493825i \(0.164402\pi\)
−0.464539 + 0.885552i \(0.653780\pi\)
\(374\) −11.1026 + 5.07040i −0.574104 + 0.262184i
\(375\) 0.872245 + 1.49639i 0.0450426 + 0.0772733i
\(376\) −0.218710 1.52116i −0.0112791 0.0784480i
\(377\) 2.32644 7.92312i 0.119818 0.408061i
\(378\) 19.3872 5.95585i 0.997169 0.306336i
\(379\) −1.92560 + 2.99629i −0.0989115 + 0.153909i −0.887182 0.461419i \(-0.847340\pi\)
0.788271 + 0.615329i \(0.210977\pi\)
\(380\) −2.34143 + 3.64334i −0.120113 + 0.186900i
\(381\) −24.9595 + 19.7967i −1.27872 + 1.01421i
\(382\) 7.30114 24.8654i 0.373559 1.27222i
\(383\) −1.44160 10.0265i −0.0736621 0.512331i −0.992930 0.118699i \(-0.962128\pi\)
0.919268 0.393632i \(-0.128782\pi\)
\(384\) 1.49639 0.872245i 0.0763624 0.0445116i
\(385\) −6.86715 + 3.13612i −0.349982 + 0.159832i
\(386\) −1.47947 5.03861i −0.0753030 0.256458i
\(387\) 12.8329 + 13.2370i 0.652335 + 0.672872i
\(388\) 14.8695 + 2.13791i 0.754884 + 0.108536i
\(389\) −8.19325 + 5.26548i −0.415414 + 0.266971i −0.731610 0.681723i \(-0.761231\pi\)
0.316196 + 0.948694i \(0.397594\pi\)
\(390\) 0.742428 3.94004i 0.0375943 0.199512i
\(391\) −30.2632 0.249786i −1.53047 0.0126322i
\(392\) 8.23463i 0.415911i
\(393\) −5.63586 13.9100i −0.284292 0.701669i
\(394\) 1.77159 12.3217i 0.0892512 0.620756i
\(395\) 5.64581 + 2.57835i 0.284071 + 0.129731i
\(396\) −5.78062 0.503583i −0.290487 0.0253060i
\(397\) 0.641907 + 1.40558i 0.0322164 + 0.0705440i 0.925056 0.379831i \(-0.124018\pi\)
−0.892840 + 0.450375i \(0.851290\pi\)
\(398\) −18.1239 20.9161i −0.908467 1.04843i
\(399\) 1.27170 29.2509i 0.0636646 1.46438i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) −17.0307 + 19.6544i −0.850471 + 0.981496i −0.999974 0.00726520i \(-0.997687\pi\)
0.149502 + 0.988761i \(0.452233\pi\)
\(402\) 8.59420 + 8.12670i 0.428640 + 0.405323i
\(403\) −12.2704 7.88570i −0.611231 0.392815i
\(404\) 7.15147 + 6.19679i 0.355799 + 0.308302i
\(405\) −4.62881 7.71843i −0.230007 0.383532i
\(406\) 13.7820 1.98155i 0.683987 0.0983425i
\(407\) 6.16343 5.34064i 0.305510 0.264726i
\(408\) 10.6113 2.62096i 0.525335 0.129757i
\(409\) 31.0643 9.12130i 1.53603 0.451019i 0.599140 0.800644i \(-0.295509\pi\)
0.936890 + 0.349625i \(0.113691\pi\)
\(410\) 2.64170 5.78452i 0.130464 0.285677i
\(411\) −3.83498 + 11.2311i −0.189165 + 0.553989i
\(412\) −5.26160 8.18722i −0.259221 0.403355i
\(413\) −23.0131 −1.13240
\(414\) −12.4603 7.19313i −0.612390 0.353523i
\(415\) 12.4140 0.609380
\(416\) 1.25148 + 1.94735i 0.0613590 + 0.0954765i
\(417\) −0.865543 + 2.53482i −0.0423858 + 0.124131i
\(418\) −3.47977 + 7.61963i −0.170201 + 0.372688i
\(419\) −18.6722 + 5.48266i −0.912198 + 0.267845i −0.703966 0.710234i \(-0.748589\pi\)
−0.208232 + 0.978079i \(0.566771\pi\)
\(420\) 6.56322 1.62110i 0.320253 0.0791017i
\(421\) 8.35809 7.24233i 0.407348 0.352969i −0.426957 0.904272i \(-0.640414\pi\)
0.834305 + 0.551303i \(0.185869\pi\)
\(422\) −3.29045 + 0.473095i −0.160177 + 0.0230299i
\(423\) 2.81978 3.64757i 0.137102 0.177351i
\(424\) 0.821895 + 0.712176i 0.0399147 + 0.0345863i
\(425\) −5.30875 3.41173i −0.257512 0.165493i
\(426\) 0.0687587 + 0.0650185i 0.00333137 + 0.00315015i
\(427\) −29.1616 + 33.6542i −1.41123 + 1.62864i
\(428\) 1.63760 + 0.480841i 0.0791562 + 0.0232423i
\(429\) 0.336827 7.74750i 0.0162622 0.374053i
\(430\) 4.02443 + 4.64444i 0.194075 + 0.223975i
\(431\) −4.99683 10.9415i −0.240689 0.527035i 0.750281 0.661119i \(-0.229918\pi\)
−0.990970 + 0.134084i \(0.957191\pi\)
\(432\) 5.00352 + 1.40172i 0.240732 + 0.0674401i
\(433\) 12.1668 + 5.55639i 0.584699 + 0.267023i 0.685725 0.727861i \(-0.259485\pi\)
−0.101026 + 0.994884i \(0.532213\pi\)
\(434\) 3.50011 24.3438i 0.168010 1.16854i
\(435\) −2.32019 5.72654i −0.111245 0.274567i
\(436\) 10.8868i 0.521381i
\(437\) −15.8087 + 13.4715i −0.756231 + 0.644427i
\(438\) −3.12708 + 16.5953i −0.149418 + 0.792954i
\(439\) 22.9549 14.7522i 1.09558 0.704086i 0.137475 0.990505i \(-0.456101\pi\)
0.958104 + 0.286419i \(0.0924650\pi\)
\(440\) −1.91448 0.275261i −0.0912694 0.0131226i
\(441\) −17.7369 + 17.1955i −0.844613 + 0.818833i
\(442\) 4.11546 + 14.0160i 0.195753 + 0.666672i
\(443\) 22.3682 10.2152i 1.06275 0.485340i 0.194208 0.980960i \(-0.437786\pi\)
0.868540 + 0.495620i \(0.165059\pi\)
\(444\) −6.30950 + 3.67780i −0.299436 + 0.174541i
\(445\) 1.74485 + 12.1357i 0.0827137 + 0.575287i
\(446\) 0.409927 1.39608i 0.0194106 0.0661065i
\(447\) 1.96523 1.55872i 0.0929521 0.0737250i
\(448\) −2.11021 + 3.28354i −0.0996978 + 0.155133i
\(449\) −3.52002 + 5.47726i −0.166120 + 0.258488i −0.914326 0.404979i \(-0.867279\pi\)
0.748206 + 0.663466i \(0.230915\pi\)
\(450\) −1.39677 2.65500i −0.0658445 0.125158i
\(451\) 3.46524 11.8015i 0.163172 0.555712i
\(452\) 1.86598 + 12.9782i 0.0877682 + 0.610441i
\(453\) 11.9618 + 20.5212i 0.562015 + 0.964172i
\(454\) −20.3321 + 9.28537i −0.954233 + 0.435784i
\(455\) 2.54548 + 8.66910i 0.119334 + 0.406414i
\(456\) 4.32575 6.12835i 0.202572 0.286986i
\(457\) 9.59794 + 1.37998i 0.448973 + 0.0645525i 0.363093 0.931753i \(-0.381721\pi\)
0.0858799 + 0.996306i \(0.472630\pi\)
\(458\) −21.5330 + 13.8384i −1.00617 + 0.646627i
\(459\) 27.8037 + 17.3829i 1.29777 + 0.811365i
\(460\) −4.01297 2.62603i −0.187106 0.122439i
\(461\) 10.4902i 0.488576i 0.969703 + 0.244288i \(0.0785542\pi\)
−0.969703 + 0.244288i \(0.921446\pi\)
\(462\) 12.1190 4.91018i 0.563825 0.228442i
\(463\) −3.37874 + 23.4996i −0.157023 + 1.09212i 0.747057 + 0.664760i \(0.231466\pi\)
−0.904081 + 0.427362i \(0.859443\pi\)
\(464\) 3.24492 + 1.48190i 0.150642 + 0.0687957i
\(465\) −10.8600 + 1.08252i −0.503619 + 0.0502006i
\(466\) −10.2501 22.4445i −0.474826 1.03972i
\(467\) 9.54507 + 11.0156i 0.441693 + 0.509741i 0.932323 0.361627i \(-0.117779\pi\)
−0.490630 + 0.871368i \(0.663233\pi\)
\(468\) −1.58112 + 6.76205i −0.0730874 + 0.312576i
\(469\) −25.5748 7.50943i −1.18093 0.346753i
\(470\) 1.00639 1.16144i 0.0464215 0.0535733i
\(471\) −5.52844 + 5.84647i −0.254737 + 0.269391i
\(472\) −4.96005 3.18763i −0.228305 0.146722i
\(473\) 8.98313 + 7.78393i 0.413045 + 0.357906i
\(474\) −9.57562 4.88636i −0.439823 0.224438i
\(475\) −4.28677 + 0.616344i −0.196690 + 0.0282798i
\(476\) −18.6148 + 16.1299i −0.853210 + 0.739310i
\(477\) 0.182293 + 3.25747i 0.00834663 + 0.149149i
\(478\) 6.67479 1.95989i 0.305298 0.0896435i
\(479\) −13.1312 + 28.7534i −0.599981 + 1.31378i 0.329238 + 0.944247i \(0.393208\pi\)
−0.929219 + 0.369529i \(0.879519\pi\)
\(480\) 1.63913 + 0.559698i 0.0748156 + 0.0255466i
\(481\) −5.27685 8.21094i −0.240604 0.374387i
\(482\) 6.51845 0.296907
\(483\) 32.3787 + 1.67553i 1.47328 + 0.0762393i
\(484\) 7.25898 0.329954
\(485\) 8.12172 + 12.6376i 0.368788 + 0.573846i
\(486\) 7.42911 + 13.7043i 0.336991 + 0.621641i
\(487\) 1.74579 3.82274i 0.0791091 0.173225i −0.865945 0.500140i \(-0.833282\pi\)
0.945054 + 0.326915i \(0.106009\pi\)
\(488\) −10.9468 + 3.21428i −0.495539 + 0.145503i
\(489\) 8.32155 + 33.6908i 0.376313 + 1.52355i
\(490\) −6.22332 + 5.39253i −0.281141 + 0.243610i
\(491\) −33.3774 + 4.79894i −1.50630 + 0.216573i −0.845495 0.533984i \(-0.820694\pi\)
−0.660806 + 0.750557i \(0.729785\pi\)
\(492\) −5.00641 + 9.81088i −0.225707 + 0.442309i
\(493\) 17.0130 + 14.7419i 0.766228 + 0.663940i
\(494\) 8.43366 + 5.41999i 0.379448 + 0.243857i
\(495\) −3.40492 4.69848i −0.153040 0.211181i
\(496\) 4.12633 4.76204i 0.185278 0.213822i
\(497\) −0.204613 0.0600799i −0.00917816 0.00269495i
\(498\) −21.4814 0.933916i −0.962605 0.0418498i
\(499\) −8.19340 9.45569i −0.366787 0.423295i 0.542115 0.840304i \(-0.317624\pi\)
−0.908902 + 0.417009i \(0.863078\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) −0.142819 1.43278i −0.00638069 0.0640120i
\(502\) 4.34654 + 1.98500i 0.193995 + 0.0885948i
\(503\) −5.48633 + 38.1583i −0.244623 + 1.70139i 0.383714 + 0.923452i \(0.374645\pi\)
−0.628338 + 0.777941i \(0.716264\pi\)
\(504\) −11.4791 + 2.31143i −0.511318 + 0.102959i
\(505\) 9.46276i 0.421087i
\(506\) −8.40562 3.92288i −0.373675 0.174393i
\(507\) 13.0068 + 2.45089i 0.577652 + 0.108848i
\(508\) 15.4730 9.94391i 0.686504 0.441190i
\(509\) 35.7326 + 5.13757i 1.58382 + 0.227719i 0.877289 0.479963i \(-0.159350\pi\)
0.706531 + 0.707682i \(0.250259\pi\)
\(510\) 8.92968 + 6.30309i 0.395413 + 0.279105i
\(511\) −10.7215 36.5139i −0.474289 1.61528i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) 22.2331 3.47980i 0.981615 0.153637i
\(514\) 0.707358 + 4.91978i 0.0312002 + 0.217002i
\(515\) 2.74187 9.33794i 0.120821 0.411479i
\(516\) −6.61453 8.33957i −0.291188 0.367129i
\(517\) 1.60703 2.50058i 0.0706769 0.109975i
\(518\) 8.89763 13.8450i 0.390939 0.608314i
\(519\) 11.0909 + 13.9834i 0.486838 + 0.613803i
\(520\) −0.652159 + 2.22105i −0.0285991 + 0.0973994i
\(521\) 4.99489 + 34.7402i 0.218830 + 1.52200i 0.742367 + 0.669993i \(0.233703\pi\)
−0.523537 + 0.852003i \(0.675388\pi\)
\(522\) 3.58409 + 10.0839i 0.156871 + 0.441358i
\(523\) −5.88063 + 2.68560i −0.257142 + 0.117433i −0.539816 0.841783i \(-0.681506\pi\)
0.282673 + 0.959216i \(0.408779\pi\)
\(524\) 2.44124 + 8.31411i 0.106646 + 0.363204i
\(525\) 5.52315 + 3.89856i 0.241050 + 0.170147i
\(526\) −29.8692 4.29454i −1.30236 0.187251i
\(527\) 33.4509 21.4976i 1.45714 0.936449i
\(528\) 3.29215 + 0.620345i 0.143272 + 0.0269970i
\(529\) −14.7728 17.6285i −0.642297 0.766456i
\(530\) 1.08752i 0.0472390i
\(531\) −3.49159 17.3400i −0.151522 0.752493i
\(532\) −2.40569 + 16.7319i −0.104300 + 0.725421i
\(533\) −13.3901 6.11505i −0.579989 0.264872i
\(534\) −2.10634 21.1311i −0.0911501 0.914430i
\(535\) 0.709001 + 1.55250i 0.0306528 + 0.0671203i
\(536\) −4.47201 5.16098i −0.193161 0.222920i
\(537\) 45.1485 + 1.96286i 1.94830 + 0.0847035i
\(538\) −7.67627 2.25396i −0.330947 0.0971749i
\(539\) −10.4301 + 12.0370i −0.449255 + 0.518468i
\(540\) 2.21726 + 4.69934i 0.0954157 + 0.202227i
\(541\) −32.5426 20.9139i −1.39912 0.899158i −0.399273 0.916832i \(-0.630738\pi\)
−0.999844 + 0.0176739i \(0.994374\pi\)
\(542\) 23.8492 + 20.6655i 1.02441 + 0.887658i
\(543\) 16.5314 32.3960i 0.709431 1.39025i
\(544\) −6.24629 + 0.898081i −0.267808 + 0.0385049i
\(545\) −8.22766 + 7.12931i −0.352434 + 0.305386i
\(546\) −3.75255 15.1926i −0.160594 0.650185i
\(547\) 15.9726 4.68999i 0.682941 0.200530i 0.0781832 0.996939i \(-0.475088\pi\)
0.604758 + 0.796409i \(0.293270\pi\)
\(548\) 2.84637 6.23268i 0.121591 0.266247i
\(549\) −29.7824 16.8667i −1.27108 0.719854i
\(550\) −1.04569 1.62713i −0.0445884 0.0693810i
\(551\) 15.4494 0.658166
\(552\) 6.74655 + 4.84603i 0.287152 + 0.206261i
\(553\) 24.2257 1.03018
\(554\) 9.68807 + 15.0749i 0.411606 + 0.640472i
\(555\) −6.91134 2.35995i −0.293370 0.100174i
\(556\) 0.642417 1.40670i 0.0272445 0.0596572i
\(557\) −40.1397 + 11.7861i −1.70077 + 0.499392i −0.980867 0.194680i \(-0.937633\pi\)
−0.719905 + 0.694072i \(0.755815\pi\)
\(558\) 18.8737 1.05620i 0.798988 0.0447126i
\(559\) 10.7510 9.31580i 0.454719 0.394017i
\(560\) −3.86343 + 0.555477i −0.163260 + 0.0234732i
\(561\) 18.8307 + 9.60917i 0.795034 + 0.405699i
\(562\) 8.36592 + 7.24911i 0.352895 + 0.305785i
\(563\) −5.37268 3.45281i −0.226431 0.145519i 0.422507 0.906360i \(-0.361150\pi\)
−0.648938 + 0.760841i \(0.724787\pi\)
\(564\) −1.82886 + 1.93406i −0.0770087 + 0.0814388i
\(565\) −8.58628 + 9.90909i −0.361227 + 0.416879i
\(566\) 6.83064 + 2.00566i 0.287113 + 0.0843040i
\(567\) −28.9492 19.8985i −1.21575 0.835658i
\(568\) −0.0357787 0.0412909i −0.00150124 0.00173253i
\(569\) 12.1155 + 26.5293i 0.507910 + 1.11217i 0.973817 + 0.227333i \(0.0730007\pi\)
−0.465907 + 0.884833i \(0.654272\pi\)
\(570\) 7.46426 0.744035i 0.312643 0.0311642i
\(571\) 8.67285 + 3.96076i 0.362948 + 0.165753i 0.588538 0.808470i \(-0.299704\pi\)
−0.225590 + 0.974222i \(0.572431\pi\)
\(572\) −0.637179 + 4.43168i −0.0266418 + 0.185298i
\(573\) −41.6014 + 16.8554i −1.73792 + 0.704146i
\(574\) 24.8209i 1.03600i
\(575\) −0.643315 4.75249i −0.0268281 0.198192i
\(576\) −2.79427 1.09182i −0.116428 0.0454926i
\(577\) −22.0367 + 14.1621i −0.917398 + 0.589576i −0.911902 0.410409i \(-0.865386\pi\)
−0.00549631 + 0.999985i \(0.501750\pi\)
\(578\) −22.5904 3.24801i −0.939638 0.135099i
\(579\) −5.24514 + 7.43087i −0.217981 + 0.308816i
\(580\) 1.00502 + 3.42279i 0.0417312 + 0.142123i
\(581\) 44.0752 20.1285i 1.82855 0.835069i
\(582\) −13.1032 22.4794i −0.543146 0.931801i
\(583\) 0.299353 + 2.08204i 0.0123979 + 0.0862295i
\(584\) 2.74687 9.35497i 0.113666 0.387111i
\(585\) −6.14583 + 3.23327i −0.254099 + 0.133679i
\(586\) 0.0708737 0.110282i 0.00292776 0.00455569i
\(587\) −8.18990 + 12.7437i −0.338033 + 0.525990i −0.968104 0.250548i \(-0.919389\pi\)
0.630071 + 0.776537i \(0.283026\pi\)
\(588\) 11.1746 8.86314i 0.460833 0.365510i
\(589\) 7.68821 26.1836i 0.316787 1.07888i
\(590\) −0.839091 5.83601i −0.0345448 0.240265i
\(591\) −18.6276 + 10.8580i −0.766238 + 0.446639i
\(592\) 3.83544 1.75159i 0.157636 0.0719898i
\(593\) −6.34012 21.5925i −0.260358 0.886697i −0.981101 0.193495i \(-0.938018\pi\)
0.720744 0.693202i \(-0.243800\pi\)
\(594\) 5.53846 + 8.38648i 0.227246 + 0.344101i
\(595\) −24.3803 3.50535i −0.999493 0.143705i
\(596\) −1.21829 + 0.782949i −0.0499032 + 0.0320708i
\(597\) −8.87647 + 47.1071i −0.363290 + 1.92796i
\(598\) −6.07878 + 9.28929i −0.248580 + 0.379867i
\(599\) 3.12032i 0.127493i 0.997966 + 0.0637464i \(0.0203049\pi\)
−0.997966 + 0.0637464i \(0.979695\pi\)
\(600\) 0.650409 + 1.60529i 0.0265528 + 0.0655359i
\(601\) −1.49812 + 10.4196i −0.0611095 + 0.425026i 0.936185 + 0.351509i \(0.114331\pi\)
−0.997294 + 0.0735167i \(0.976578\pi\)
\(602\) 21.8191 + 9.96445i 0.889280 + 0.406121i
\(603\) 1.77799 20.4095i 0.0724055 0.831141i
\(604\) −5.69693 12.4745i −0.231805 0.507581i
\(605\) 4.75362 + 5.48597i 0.193262 + 0.223037i
\(606\) 0.711891 16.3745i 0.0289186 0.665169i
\(607\) 35.4831 + 10.4188i 1.44021 + 0.422885i 0.906293 0.422649i \(-0.138900\pi\)
0.533921 + 0.845534i \(0.320718\pi\)
\(608\) −2.83610 + 3.27304i −0.115019 + 0.132739i
\(609\) −17.5229 16.5697i −0.710063 0.671438i
\(610\) −9.59783 6.16815i −0.388605 0.249741i
\(611\) −2.68852 2.32962i −0.108766 0.0942462i
\(612\) −14.9779 11.5788i −0.605445 0.468043i
\(613\) −38.4091 + 5.52239i −1.55133 + 0.223047i −0.864072 0.503368i \(-0.832094\pi\)
−0.687256 + 0.726415i \(0.741185\pi\)
\(614\) 11.5265 9.98779i 0.465173 0.403074i
\(615\) −10.6931 + 2.64117i −0.431186 + 0.106502i
\(616\) −7.24357 + 2.12690i −0.291852 + 0.0856954i
\(617\) 11.5147 25.2136i 0.463564 1.01506i −0.523097 0.852273i \(-0.675223\pi\)
0.986661 0.162790i \(-0.0520493\pi\)
\(618\) −5.44707 + 15.9523i −0.219113 + 0.641694i
\(619\) 5.57316 + 8.67201i 0.224004 + 0.348557i 0.935005 0.354633i \(-0.115394\pi\)
−0.711001 + 0.703191i \(0.751758\pi\)
\(620\) 6.30108 0.253057
\(621\) 3.65007 + 24.6511i 0.146472 + 0.989215i
\(622\) 14.3949 0.577183
\(623\) 25.8721 + 40.2578i 1.03654 + 1.61290i
\(624\) 1.29560 3.79428i 0.0518654 0.151893i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) 17.7360 5.20775i 0.708871 0.208143i
\(627\) 14.0854 3.47906i 0.562517 0.138940i
\(628\) 3.51091 3.04222i 0.140101 0.121398i
\(629\) 26.3373 3.78674i 1.05014 0.150987i
\(630\) −9.26405 7.16164i −0.369089 0.285326i
\(631\) 21.2299 + 18.3958i 0.845149 + 0.732326i 0.965499 0.260405i \(-0.0838562\pi\)
−0.120350 + 0.992732i \(0.538402\pi\)
\(632\) 5.22140 + 3.35559i 0.207696 + 0.133478i
\(633\) 4.18360 + 3.95602i 0.166283 + 0.157238i
\(634\) 10.6642 12.3071i 0.423529 0.488778i
\(635\) 17.6478 + 5.18186i 0.700331 + 0.205636i
\(636\) 0.0818152 1.88187i 0.00324418 0.0746209i
\(637\) 12.4827 + 14.4058i 0.494583 + 0.570780i
\(638\) 2.86626 + 6.27623i 0.113476 + 0.248478i
\(639\) 0.0142250 0.163289i 0.000562732 0.00645959i
\(640\) −0.909632 0.415415i −0.0359564 0.0164207i
\(641\) 4.55953 31.7123i 0.180091 1.25256i −0.676453 0.736485i \(-0.736484\pi\)
0.856544 0.516074i \(-0.172607\pi\)
\(642\) −1.11007 2.73980i −0.0438110 0.108131i
\(643\) 20.9604i 0.826598i 0.910595 + 0.413299i \(0.135623\pi\)
−0.910595 + 0.413299i \(0.864377\pi\)
\(644\) −18.5057 2.81681i −0.729228 0.110998i
\(645\) 1.97103 10.4602i 0.0776092 0.411869i
\(646\) −22.9914 + 14.7757i −0.904585 + 0.581341i
\(647\) 16.1780 + 2.32605i 0.636023 + 0.0914463i 0.452781 0.891622i \(-0.350432\pi\)
0.183242 + 0.983068i \(0.441341\pi\)
\(648\) −3.48325 8.29861i −0.136835 0.326000i
\(649\) −3.21285 10.9420i −0.126115 0.429510i
\(650\) −2.10563 + 0.961609i −0.0825896 + 0.0377174i
\(651\) −36.8024 + 21.4521i −1.44240 + 0.840774i
\(652\) −2.85141 19.8320i −0.111670 0.776681i
\(653\) 11.8913 40.4980i 0.465342 1.58481i −0.308367 0.951267i \(-0.599783\pi\)
0.773709 0.633541i \(-0.218399\pi\)
\(654\) 14.7736 11.7177i 0.577694 0.458198i
\(655\) −4.68471 + 7.28955i −0.183047 + 0.284826i
\(656\) 3.43803 5.34968i 0.134233 0.208870i
\(657\) 25.8860 13.6184i 1.00991 0.531305i
\(658\) 1.68994 5.75542i 0.0658808 0.224370i
\(659\) −6.39908 44.5066i −0.249273 1.73373i −0.602435 0.798168i \(-0.705803\pi\)
0.353162 0.935562i \(-0.385106\pi\)
\(660\) 1.68707 + 2.89428i 0.0656692 + 0.112660i
\(661\) −11.0913 + 5.06523i −0.431402 + 0.197015i −0.619268 0.785180i \(-0.712570\pi\)
0.187865 + 0.982195i \(0.439843\pi\)
\(662\) −4.56393 15.5433i −0.177382 0.604108i
\(663\) 14.5905 20.6706i 0.566647 0.802778i
\(664\) 12.2877 + 1.76670i 0.476854 + 0.0685612i
\(665\) −14.2205 + 9.13898i −0.551449 + 0.354395i
\(666\) 11.7820 + 4.60365i 0.456541 + 0.178388i
\(667\) −0.141202 + 17.1075i −0.00546736 + 0.662406i
\(668\) 0.831316i 0.0321646i
\(669\) −2.33574 + 0.946360i −0.0903049 + 0.0365884i
\(670\) 0.971861 6.75944i 0.0375463 0.261140i
\(671\) −20.0727 9.16691i −0.774899 0.353885i
\(672\) 6.72713 0.670558i 0.259505 0.0258673i
\(673\) −17.2822 37.8428i −0.666181 1.45873i −0.876649 0.481131i \(-0.840226\pi\)
0.210468 0.977601i \(-0.432501\pi\)
\(674\) −3.72010 4.29323i −0.143293 0.165369i
\(675\) −2.09952 + 4.75310i −0.0808107 + 0.182947i
\(676\) −7.33209 2.15290i −0.282004 0.0828037i
\(677\) −1.92344 + 2.21976i −0.0739236 + 0.0853124i −0.791507 0.611161i \(-0.790703\pi\)
0.717583 + 0.696473i \(0.245248\pi\)
\(678\) 15.6033 16.5009i 0.599241 0.633713i
\(679\) 49.3267 + 31.7004i 1.89299 + 1.21655i
\(680\) −4.76918 4.13251i −0.182890 0.158475i
\(681\) 34.4845 + 17.5971i 1.32145 + 0.674324i
\(682\) 12.0633 1.73444i 0.461928 0.0664153i
\(683\) 34.9509 30.2851i 1.33736 1.15883i 0.363518 0.931587i \(-0.381575\pi\)
0.973839 0.227240i \(-0.0729701\pi\)
\(684\) −12.9723 + 0.725948i −0.496006 + 0.0277573i
\(685\) 6.57432 1.93039i 0.251192 0.0737566i
\(686\) −2.00186 + 4.38347i −0.0764314 + 0.167361i
\(687\) 41.9557 + 14.3262i 1.60071 + 0.546580i
\(688\) 3.32249 + 5.16990i 0.126669 + 0.197101i
\(689\) 2.51741 0.0959058
\(690\) 0.755670 + 8.27218i 0.0287678 + 0.314917i
\(691\) −16.1151 −0.613049 −0.306524 0.951863i \(-0.599166\pi\)
−0.306524 + 0.951863i \(0.599166\pi\)
\(692\) −5.57100 8.66864i −0.211778 0.329532i
\(693\) −19.7072 11.1608i −0.748614 0.423964i
\(694\) 12.9199 28.2906i 0.490433 1.07390i
\(695\) 1.48380 0.435684i 0.0562839 0.0165264i
\(696\) −1.48161 5.99845i −0.0561601 0.227371i
\(697\) 30.3281 26.2794i 1.14876 0.995404i
\(698\) 3.32503 0.478067i 0.125854 0.0180951i
\(699\) −19.4254 + 38.0673i −0.734737 + 1.43984i
\(700\) −2.94981 2.55602i −0.111492 0.0966086i
\(701\) 30.2943 + 19.4690i 1.14420 + 0.735334i 0.968476 0.249106i \(-0.0801367\pi\)
0.175725 + 0.984439i \(0.443773\pi\)
\(702\) 10.8781 5.13255i 0.410567 0.193716i
\(703\) 11.9584 13.8007i 0.451018 0.520503i
\(704\) −1.85582 0.544919i −0.0699440 0.0205374i
\(705\) −2.65931 0.115615i −0.100156 0.00435432i
\(706\) 13.0599 + 15.0719i 0.491515 + 0.567239i
\(707\) 15.3432 + 33.5969i 0.577040 + 1.26354i
\(708\) 1.01293 + 10.1618i 0.0380682 + 0.381905i
\(709\) 39.7260 + 18.1423i 1.49194 + 0.681347i 0.983692 0.179862i \(-0.0575650\pi\)
0.508251 + 0.861209i \(0.330292\pi\)
\(710\) 0.00777546 0.0540795i 0.000291808 0.00202957i
\(711\) 3.67557 + 18.2537i 0.137845 + 0.684567i
\(712\) 12.2605i 0.459481i
\(713\) 28.9236 + 8.75267i 1.08320 + 0.327790i
\(714\) 41.9243 + 7.89986i 1.56898 + 0.295645i
\(715\) −3.76650 + 2.42058i −0.140859 + 0.0905247i
\(716\) −25.8256 3.71316i −0.965147 0.138767i
\(717\) −9.84388 6.94838i −0.367626 0.259492i
\(718\) −9.95400 33.9002i −0.371480 1.26514i
\(719\) −38.7736 + 17.7073i −1.44601 + 0.660371i −0.975091 0.221806i \(-0.928805\pi\)
−0.470919 + 0.882176i \(0.656078\pi\)
\(720\) −1.00471 2.82676i −0.0374433 0.105347i
\(721\) −5.40599 37.5995i −0.201330 1.40028i
\(722\) 0.0686698 0.233868i 0.00255563 0.00870366i
\(723\) −7.01598 8.84572i −0.260927 0.328976i
\(724\) −11.3526 + 17.6649i −0.421914 + 0.656511i
\(725\) −1.92862 + 3.00099i −0.0716272 + 0.111454i
\(726\) −7.81303 9.85064i −0.289969 0.365591i
\(727\) −3.01521 + 10.2689i −0.111828 + 0.380851i −0.996321 0.0857030i \(-0.972686\pi\)
0.884493 + 0.466554i \(0.154505\pi\)
\(728\) 1.28583 + 8.94312i 0.0476559 + 0.331454i
\(729\) 10.6010 24.8318i 0.392629 0.919697i
\(730\) 8.86883 4.05026i 0.328250 0.149907i
\(731\) 10.9259 + 37.2102i 0.404109 + 1.37627i
\(732\) 16.1442 + 11.3955i 0.596707 + 0.421190i
\(733\) −34.7857 5.00143i −1.28484 0.184732i −0.534152 0.845388i \(-0.679369\pi\)
−0.750689 + 0.660656i \(0.770278\pi\)
\(734\) 17.6976 11.3736i 0.653232 0.419806i
\(735\) 14.0161 + 2.64108i 0.516993 + 0.0974178i
\(736\) −3.59840 3.17041i −0.132639 0.116863i
\(737\) 13.2084i 0.486536i
\(738\) 18.7022 3.76587i 0.688436 0.138624i
\(739\) −5.13442 + 35.7107i −0.188873 + 1.31364i 0.646060 + 0.763287i \(0.276416\pi\)
−0.834933 + 0.550352i \(0.814494\pi\)
\(740\) 3.83544 + 1.75159i 0.140994 + 0.0643896i
\(741\) −1.72230 17.2784i −0.0632704 0.634737i
\(742\) 1.76334 + 3.86118i 0.0647343 + 0.141748i
\(743\) 16.9930 + 19.6110i 0.623414 + 0.719458i 0.976352 0.216189i \(-0.0693627\pi\)
−0.352938 + 0.935647i \(0.614817\pi\)
\(744\) −10.9035 0.474035i −0.399741 0.0173790i
\(745\) −1.38952 0.408001i −0.0509082 0.0149480i
\(746\) −18.1821 + 20.9833i −0.665695 + 0.768253i
\(747\) 21.8537 + 30.1561i 0.799583 + 1.10335i
\(748\) −10.2680 6.59886i −0.375436 0.241278i
\(749\) 5.03453 + 4.36244i 0.183958 + 0.159400i
\(750\) −0.787273 + 1.54279i −0.0287472 + 0.0563347i
\(751\) −0.734918 + 0.105665i −0.0268175 + 0.00385578i −0.155711 0.987803i \(-0.549767\pi\)
0.128893 + 0.991659i \(0.458858\pi\)
\(752\) 1.16144 1.00639i 0.0423534 0.0366994i
\(753\) −1.98460 8.03487i −0.0723227 0.292807i
\(754\) 7.92312 2.32644i 0.288543 0.0847238i
\(755\) 5.69693 12.4745i 0.207332 0.453994i
\(756\) 15.4919 + 13.0896i 0.563434 + 0.476063i
\(757\) −4.21214 6.55421i −0.153093 0.238217i 0.756233 0.654303i \(-0.227038\pi\)
−0.909325 + 0.416086i \(0.863402\pi\)
\(758\) −3.56170 −0.129367
\(759\) 3.72373 + 15.6289i 0.135163 + 0.567295i
\(760\) −4.33085 −0.157096
\(761\) −16.7006 25.9867i −0.605397 0.942017i −0.999734 0.0230509i \(-0.992662\pi\)
0.394337 0.918966i \(-0.370974\pi\)
\(762\) −30.1482 10.2944i −1.09215 0.372928i
\(763\) −17.6521 + 38.6527i −0.639049 + 1.39932i
\(764\) 24.8654 7.30114i 0.899599 0.264146i
\(765\) −1.05779 18.9020i −0.0382443 0.683403i
\(766\) 7.65546 6.63349i 0.276603 0.239678i
\(767\) −13.5093 + 1.94234i −0.487791 + 0.0701338i
\(768\) 1.54279 + 0.787273i 0.0556706 + 0.0284083i
\(769\) −21.1625 18.3374i −0.763139 0.661264i 0.183696 0.982983i \(-0.441194\pi\)
−0.946835 + 0.321719i \(0.895739\pi\)
\(770\) −6.35094 4.08150i −0.228872 0.147087i
\(771\) 5.91493 6.25519i 0.213021 0.225275i
\(772\) 3.43889 3.96869i 0.123768 0.142836i
\(773\) −20.2276 5.93935i −0.727535 0.213624i −0.103068 0.994674i \(-0.532866\pi\)
−0.624468 + 0.781051i \(0.714684\pi\)