Properties

Label 43.2.g.a.40.2
Level $43$
Weight $2$
Character 43.40
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 40.2
Character \(\chi\) \(=\) 43.40
Dual form 43.2.g.a.14.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.982954 - 0.473366i) q^{2} +(0.109070 - 1.45544i) q^{3} +(-0.504856 - 0.633069i) q^{4} +(1.29085 + 0.398175i) q^{5} +(-0.796166 + 1.37900i) q^{6} +(-0.108163 - 0.187343i) q^{7} +(0.682116 + 2.98855i) q^{8} +(0.860089 + 0.129637i) q^{9} +O(q^{10})\) \(q+(-0.982954 - 0.473366i) q^{2} +(0.109070 - 1.45544i) q^{3} +(-0.504856 - 0.633069i) q^{4} +(1.29085 + 0.398175i) q^{5} +(-0.796166 + 1.37900i) q^{6} +(-0.108163 - 0.187343i) q^{7} +(0.682116 + 2.98855i) q^{8} +(0.860089 + 0.129637i) q^{9} +(-1.08036 - 1.00243i) q^{10} +(-3.76031 + 4.71528i) q^{11} +(-0.976457 + 0.665737i) q^{12} +(2.10767 - 1.95563i) q^{13} +(0.0176371 + 0.235350i) q^{14} +(0.720312 - 1.83532i) q^{15} +(0.383825 - 1.68165i) q^{16} +(0.270054 - 0.0833006i) q^{17} +(-0.784062 - 0.534564i) q^{18} +(1.12457 - 0.169502i) q^{19} +(-0.399621 - 1.01822i) q^{20} +(-0.284464 + 0.136990i) q^{21} +(5.92827 - 2.85490i) q^{22} +(-1.44040 - 3.67008i) q^{23} +(4.42404 - 0.666817i) q^{24} +(-2.62344 - 1.78863i) q^{25} +(-2.99747 + 0.924598i) q^{26} +(1.25681 - 5.50644i) q^{27} +(-0.0639946 + 0.163056i) q^{28} +(0.515946 + 6.88482i) q^{29} +(-1.57681 + 1.46307i) q^{30} +(-8.17225 + 5.57174i) q^{31} +(2.64918 - 3.32196i) q^{32} +(6.45267 + 5.98720i) q^{33} +(-0.304882 - 0.0459536i) q^{34} +(-0.0650265 - 0.284900i) q^{35} +(-0.352151 - 0.609944i) q^{36} +(-3.77129 + 6.53207i) q^{37} +(-1.18564 - 0.365721i) q^{38} +(-2.61642 - 3.28088i) q^{39} +(-0.309453 + 4.12937i) q^{40} +(-4.62195 - 2.22581i) q^{41} +0.344461 q^{42} +(5.90092 - 2.85993i) q^{43} +4.88351 q^{44} +(1.05863 + 0.509808i) q^{45} +(-0.321443 + 4.28936i) q^{46} +(0.288239 + 0.361440i) q^{47} +(-2.40567 - 0.742051i) q^{48} +(3.47660 - 6.02165i) q^{49} +(1.73205 + 2.99999i) q^{50} +(-0.0917841 - 0.402132i) q^{51} +(-2.30212 - 0.346988i) q^{52} +(-6.12346 - 5.68174i) q^{53} +(-3.84195 + 4.81765i) q^{54} +(-6.73151 + 4.58946i) q^{55} +(0.486104 - 0.451039i) q^{56} +(-0.124042 - 1.65523i) q^{57} +(2.75189 - 7.01170i) q^{58} +(1.85926 - 8.14595i) q^{59} +(-1.52554 + 0.470567i) q^{60} +(11.0987 + 7.56700i) q^{61} +(10.6704 - 1.60831i) q^{62} +(-0.0687427 - 0.175154i) q^{63} +(-7.28468 + 3.50811i) q^{64} +(3.49937 - 1.68521i) q^{65} +(-3.50854 - 8.93961i) q^{66} +(6.22328 - 0.938008i) q^{67} +(-0.189073 - 0.128908i) q^{68} +(-5.49868 + 1.69612i) q^{69} +(-0.0709437 + 0.310825i) q^{70} +(-0.540324 + 1.37672i) q^{71} +(0.199253 + 2.65884i) q^{72} +(0.601198 - 0.557830i) q^{73} +(6.79906 - 4.63552i) q^{74} +(-2.88938 + 3.62317i) q^{75} +(-0.675051 - 0.626356i) q^{76} +(1.29010 + 0.194451i) q^{77} +(1.01876 + 4.46348i) q^{78} +(-3.07798 - 5.33121i) q^{79} +(1.16505 - 2.01792i) q^{80} +(-5.38373 - 1.66066i) q^{81} +(3.48954 + 4.37574i) q^{82} +(-0.538458 + 7.18523i) q^{83} +(0.230338 + 0.110925i) q^{84} +0.381767 q^{85} +(-7.15412 + 0.0178853i) q^{86} +10.0767 q^{87} +(-16.6568 - 8.02150i) q^{88} +(0.331353 - 4.42159i) q^{89} +(-0.799256 - 1.00224i) q^{90} +(-0.594345 - 0.183331i) q^{91} +(-1.59622 + 2.76473i) q^{92} +(7.21798 + 12.5019i) q^{93} +(-0.112232 - 0.491721i) q^{94} +(1.51914 + 0.228974i) q^{95} +(-4.54597 - 4.21804i) q^{96} +(-2.78649 + 3.49415i) q^{97} +(-6.26778 + 4.27330i) q^{98} +(-3.84548 + 3.56808i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{11}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.982954 0.473366i −0.695054 0.334720i 0.0527802 0.998606i \(-0.483192\pi\)
−0.747834 + 0.663886i \(0.768906\pi\)
\(3\) 0.109070 1.45544i 0.0629716 0.840298i −0.872887 0.487922i \(-0.837755\pi\)
0.935859 0.352375i \(-0.114626\pi\)
\(4\) −0.504856 0.633069i −0.252428 0.316534i
\(5\) 1.29085 + 0.398175i 0.577286 + 0.178069i 0.569629 0.821902i \(-0.307087\pi\)
0.00765630 + 0.999971i \(0.497563\pi\)
\(6\) −0.796166 + 1.37900i −0.325033 + 0.562974i
\(7\) −0.108163 0.187343i −0.0408816 0.0708091i 0.844861 0.534987i \(-0.179683\pi\)
−0.885742 + 0.464177i \(0.846350\pi\)
\(8\) 0.682116 + 2.98855i 0.241164 + 1.05661i
\(9\) 0.860089 + 0.129637i 0.286696 + 0.0432125i
\(10\) −1.08036 1.00243i −0.341641 0.316997i
\(11\) −3.76031 + 4.71528i −1.13378 + 1.42171i −0.241397 + 0.970426i \(0.577606\pi\)
−0.892380 + 0.451285i \(0.850966\pi\)
\(12\) −0.976457 + 0.665737i −0.281879 + 0.192182i
\(13\) 2.10767 1.95563i 0.584562 0.542395i −0.331487 0.943460i \(-0.607550\pi\)
0.916050 + 0.401065i \(0.131360\pi\)
\(14\) 0.0176371 + 0.235350i 0.00471370 + 0.0629000i
\(15\) 0.720312 1.83532i 0.185984 0.473879i
\(16\) 0.383825 1.68165i 0.0959562 0.420412i
\(17\) 0.270054 0.0833006i 0.0654977 0.0202034i −0.261833 0.965113i \(-0.584327\pi\)
0.327331 + 0.944910i \(0.393851\pi\)
\(18\) −0.784062 0.534564i −0.184805 0.125998i
\(19\) 1.12457 0.169502i 0.257994 0.0388863i −0.0187716 0.999824i \(-0.505976\pi\)
0.276766 + 0.960937i \(0.410737\pi\)
\(20\) −0.399621 1.01822i −0.0893580 0.227680i
\(21\) −0.284464 + 0.136990i −0.0620751 + 0.0298938i
\(22\) 5.92827 2.85490i 1.26391 0.608668i
\(23\) −1.44040 3.67008i −0.300344 0.765265i −0.998770 0.0495821i \(-0.984211\pi\)
0.698426 0.715682i \(-0.253884\pi\)
\(24\) 4.42404 0.666817i 0.903054 0.136113i
\(25\) −2.62344 1.78863i −0.524688 0.357727i
\(26\) −2.99747 + 0.924598i −0.587853 + 0.181329i
\(27\) 1.25681 5.50644i 0.241873 1.05972i
\(28\) −0.0639946 + 0.163056i −0.0120938 + 0.0308146i
\(29\) 0.515946 + 6.88482i 0.0958088 + 1.27848i 0.813272 + 0.581883i \(0.197684\pi\)
−0.717463 + 0.696596i \(0.754697\pi\)
\(30\) −1.57681 + 1.46307i −0.287885 + 0.267119i
\(31\) −8.17225 + 5.57174i −1.46778 + 1.00071i −0.475100 + 0.879932i \(0.657588\pi\)
−0.992679 + 0.120783i \(0.961459\pi\)
\(32\) 2.64918 3.32196i 0.468313 0.587246i
\(33\) 6.45267 + 5.98720i 1.12326 + 1.04224i
\(34\) −0.304882 0.0459536i −0.0522869 0.00788098i
\(35\) −0.0650265 0.284900i −0.0109915 0.0481568i
\(36\) −0.352151 0.609944i −0.0586918 0.101657i
\(37\) −3.77129 + 6.53207i −0.619996 + 1.07387i 0.369489 + 0.929235i \(0.379533\pi\)
−0.989486 + 0.144630i \(0.953801\pi\)
\(38\) −1.18564 0.365721i −0.192336 0.0593277i
\(39\) −2.61642 3.28088i −0.418962 0.525362i
\(40\) −0.309453 + 4.12937i −0.0489289 + 0.652910i
\(41\) −4.62195 2.22581i −0.721827 0.347613i 0.0366371 0.999329i \(-0.488335\pi\)
−0.758464 + 0.651715i \(0.774050\pi\)
\(42\) 0.344461 0.0531516
\(43\) 5.90092 2.85993i 0.899881 0.436135i
\(44\) 4.88351 0.736217
\(45\) 1.05863 + 0.509808i 0.157811 + 0.0759977i
\(46\) −0.321443 + 4.28936i −0.0473942 + 0.632431i
\(47\) 0.288239 + 0.361440i 0.0420439 + 0.0527214i 0.802409 0.596775i \(-0.203551\pi\)
−0.760365 + 0.649496i \(0.774980\pi\)
\(48\) −2.40567 0.742051i −0.347228 0.107106i
\(49\) 3.47660 6.02165i 0.496657 0.860236i
\(50\) 1.73205 + 2.99999i 0.244948 + 0.424263i
\(51\) −0.0917841 0.402132i −0.0128523 0.0563098i
\(52\) −2.30212 0.346988i −0.319246 0.0481186i
\(53\) −6.12346 5.68174i −0.841123 0.780448i 0.136539 0.990635i \(-0.456402\pi\)
−0.977661 + 0.210187i \(0.932593\pi\)
\(54\) −3.84195 + 4.81765i −0.522823 + 0.655599i
\(55\) −6.73151 + 4.58946i −0.907676 + 0.618843i
\(56\) 0.486104 0.451039i 0.0649584 0.0602726i
\(57\) −0.124042 1.65523i −0.0164298 0.219240i
\(58\) 2.75189 7.01170i 0.361341 0.920681i
\(59\) 1.85926 8.14595i 0.242055 1.06051i −0.697088 0.716986i \(-0.745521\pi\)
0.939143 0.343527i \(-0.111622\pi\)
\(60\) −1.52554 + 0.470567i −0.196946 + 0.0607499i
\(61\) 11.0987 + 7.56700i 1.42105 + 0.968855i 0.998030 + 0.0627337i \(0.0199819\pi\)
0.423019 + 0.906121i \(0.360971\pi\)
\(62\) 10.6704 1.60831i 1.35514 0.204255i
\(63\) −0.0687427 0.175154i −0.00866077 0.0220673i
\(64\) −7.28468 + 3.50811i −0.910584 + 0.438514i
\(65\) 3.49937 1.68521i 0.434043 0.209024i
\(66\) −3.50854 8.93961i −0.431871 1.10039i
\(67\) 6.22328 0.938008i 0.760294 0.114596i 0.242559 0.970137i \(-0.422013\pi\)
0.517736 + 0.855541i \(0.326775\pi\)
\(68\) −0.189073 0.128908i −0.0229285 0.0156324i
\(69\) −5.49868 + 1.69612i −0.661963 + 0.204189i
\(70\) −0.0709437 + 0.310825i −0.00847939 + 0.0371506i
\(71\) −0.540324 + 1.37672i −0.0641247 + 0.163387i −0.959344 0.282238i \(-0.908923\pi\)
0.895220 + 0.445625i \(0.147018\pi\)
\(72\) 0.199253 + 2.65884i 0.0234822 + 0.313348i
\(73\) 0.601198 0.557830i 0.0703649 0.0652891i −0.644206 0.764852i \(-0.722812\pi\)
0.714571 + 0.699563i \(0.246622\pi\)
\(74\) 6.79906 4.63552i 0.790375 0.538869i
\(75\) −2.88938 + 3.62317i −0.333637 + 0.418368i
\(76\) −0.675051 0.626356i −0.0774337 0.0718480i
\(77\) 1.29010 + 0.194451i 0.147021 + 0.0221598i
\(78\) 1.01876 + 4.46348i 0.115352 + 0.505390i
\(79\) −3.07798 5.33121i −0.346299 0.599808i 0.639290 0.768966i \(-0.279228\pi\)
−0.985589 + 0.169158i \(0.945895\pi\)
\(80\) 1.16505 2.01792i 0.130256 0.225611i
\(81\) −5.38373 1.66066i −0.598192 0.184518i
\(82\) 3.48954 + 4.37574i 0.385355 + 0.483220i
\(83\) −0.538458 + 7.18523i −0.0591035 + 0.788681i 0.886369 + 0.462979i \(0.153220\pi\)
−0.945473 + 0.325702i \(0.894399\pi\)
\(84\) 0.230338 + 0.110925i 0.0251319 + 0.0121029i
\(85\) 0.381767 0.0414085
\(86\) −7.15412 + 0.0178853i −0.771449 + 0.00192862i
\(87\) 10.0767 1.08034
\(88\) −16.6568 8.02150i −1.77562 0.855095i
\(89\) 0.331353 4.42159i 0.0351233 0.468688i −0.951716 0.306981i \(-0.900681\pi\)
0.986839 0.161707i \(-0.0516999\pi\)
\(90\) −0.799256 1.00224i −0.0842490 0.105645i
\(91\) −0.594345 0.183331i −0.0623043 0.0192183i
\(92\) −1.59622 + 2.76473i −0.166417 + 0.288243i
\(93\) 7.21798 + 12.5019i 0.748470 + 1.29639i
\(94\) −0.112232 0.491721i −0.0115759 0.0507172i
\(95\) 1.51914 + 0.228974i 0.155861 + 0.0234922i
\(96\) −4.54597 4.21804i −0.463971 0.430502i
\(97\) −2.78649 + 3.49415i −0.282925 + 0.354777i −0.902905 0.429841i \(-0.858570\pi\)
0.619979 + 0.784618i \(0.287141\pi\)
\(98\) −6.26778 + 4.27330i −0.633142 + 0.431669i
\(99\) −3.84548 + 3.56808i −0.386485 + 0.358606i
\(100\) 0.192132 + 2.56382i 0.0192132 + 0.256382i
\(101\) −1.09407 + 2.78765i −0.108864 + 0.277382i −0.974916 0.222572i \(-0.928555\pi\)
0.866052 + 0.499954i \(0.166650\pi\)
\(102\) −0.100136 + 0.438725i −0.00991496 + 0.0434403i
\(103\) 8.07350 2.49034i 0.795505 0.245381i 0.129746 0.991547i \(-0.458584\pi\)
0.665760 + 0.746166i \(0.268108\pi\)
\(104\) 7.28217 + 4.96490i 0.714076 + 0.486848i
\(105\) −0.421746 + 0.0635680i −0.0411582 + 0.00620360i
\(106\) 3.32954 + 8.48353i 0.323394 + 0.823994i
\(107\) −5.64595 + 2.71894i −0.545814 + 0.262850i −0.686407 0.727217i \(-0.740813\pi\)
0.140593 + 0.990067i \(0.455099\pi\)
\(108\) −4.12047 + 1.98431i −0.396492 + 0.190941i
\(109\) 0.0776988 + 0.197973i 0.00744219 + 0.0189624i 0.934547 0.355841i \(-0.115805\pi\)
−0.927104 + 0.374803i \(0.877710\pi\)
\(110\) 8.78926 1.32477i 0.838023 0.126312i
\(111\) 9.09569 + 6.20133i 0.863324 + 0.588605i
\(112\) −0.356561 + 0.109984i −0.0336918 + 0.0103925i
\(113\) 2.46387 10.7949i 0.231781 1.01550i −0.716380 0.697710i \(-0.754202\pi\)
0.948161 0.317789i \(-0.102940\pi\)
\(114\) −0.661601 + 1.68573i −0.0619646 + 0.157883i
\(115\) −0.398009 5.31105i −0.0371145 0.495258i
\(116\) 4.09809 3.80247i 0.380498 0.353051i
\(117\) 2.06631 1.40878i 0.191030 0.130242i
\(118\) −5.68358 + 7.12699i −0.523216 + 0.656093i
\(119\) −0.0448155 0.0415827i −0.00410823 0.00381188i
\(120\) 5.97629 + 0.900780i 0.545558 + 0.0822296i
\(121\) −5.64621 24.7377i −0.513292 2.24888i
\(122\) −7.32760 12.6918i −0.663410 1.14906i
\(123\) −3.74365 + 6.48419i −0.337553 + 0.584659i
\(124\) 7.65310 + 2.36067i 0.687269 + 0.211994i
\(125\) −6.88554 8.63419i −0.615861 0.772265i
\(126\) −0.0153408 + 0.204708i −0.00136667 + 0.0182369i
\(127\) −7.04038 3.39047i −0.624733 0.300855i 0.0946062 0.995515i \(-0.469841\pi\)
−0.719339 + 0.694659i \(0.755555\pi\)
\(128\) 0.323224 0.0285692
\(129\) −3.51883 8.90035i −0.309816 0.783632i
\(130\) −4.23744 −0.371648
\(131\) 16.1797 + 7.79174i 1.41363 + 0.680768i 0.975876 0.218327i \(-0.0700601\pi\)
0.437753 + 0.899095i \(0.355774\pi\)
\(132\) 0.532645 7.10765i 0.0463608 0.618642i
\(133\) −0.153391 0.192347i −0.0133007 0.0166786i
\(134\) −6.56122 2.02387i −0.566803 0.174836i
\(135\) 3.81488 6.60757i 0.328333 0.568689i
\(136\) 0.433156 + 0.750248i 0.0371428 + 0.0643332i
\(137\) −2.23563 9.79494i −0.191003 0.836839i −0.976075 0.217434i \(-0.930231\pi\)
0.785072 0.619404i \(-0.212626\pi\)
\(138\) 6.20783 + 0.935681i 0.528446 + 0.0796504i
\(139\) 9.10473 + 8.44795i 0.772253 + 0.716546i 0.964292 0.264841i \(-0.0853195\pi\)
−0.192039 + 0.981387i \(0.561510\pi\)
\(140\) −0.147532 + 0.184999i −0.0124687 + 0.0156353i
\(141\) 0.557491 0.380091i 0.0469492 0.0320095i
\(142\) 1.18281 1.09749i 0.0992590 0.0920989i
\(143\) 1.29586 + 17.2920i 0.108365 + 1.44603i
\(144\) 0.548128 1.39661i 0.0456773 0.116384i
\(145\) −2.07535 + 9.09271i −0.172349 + 0.755109i
\(146\) −0.855008 + 0.263735i −0.0707610 + 0.0218269i
\(147\) −8.38495 5.71676i −0.691579 0.471510i
\(148\) 6.03921 0.910264i 0.496420 0.0748232i
\(149\) −1.35074 3.44162i −0.110657 0.281948i 0.864809 0.502101i \(-0.167440\pi\)
−0.975465 + 0.220153i \(0.929344\pi\)
\(150\) 4.55522 2.19368i 0.371932 0.179113i
\(151\) 10.3773 4.99744i 0.844492 0.406686i 0.0389621 0.999241i \(-0.487595\pi\)
0.805530 + 0.592555i \(0.201881\pi\)
\(152\) 1.27365 + 3.24521i 0.103307 + 0.263221i
\(153\) 0.243069 0.0366368i 0.0196510 0.00296191i
\(154\) −1.17606 0.801827i −0.0947699 0.0646130i
\(155\) −12.7677 + 3.93831i −1.02552 + 0.316332i
\(156\) −0.756112 + 3.31274i −0.0605374 + 0.265232i
\(157\) −7.52520 + 19.1739i −0.600577 + 1.53024i 0.229914 + 0.973211i \(0.426156\pi\)
−0.830490 + 0.557033i \(0.811940\pi\)
\(158\) 0.501897 + 6.69734i 0.0399287 + 0.532812i
\(159\) −8.93731 + 8.29262i −0.708775 + 0.657647i
\(160\) 4.74241 3.23332i 0.374921 0.255617i
\(161\) −0.531767 + 0.666815i −0.0419091 + 0.0525524i
\(162\) 4.50586 + 4.18083i 0.354014 + 0.328477i
\(163\) −6.83812 1.03068i −0.535603 0.0807292i −0.124329 0.992241i \(-0.539678\pi\)
−0.411274 + 0.911512i \(0.634916\pi\)
\(164\) 0.924323 + 4.04972i 0.0721775 + 0.316230i
\(165\) 5.94547 + 10.2979i 0.462855 + 0.801688i
\(166\) 3.93052 6.80786i 0.305068 0.528393i
\(167\) 3.39723 + 1.04791i 0.262886 + 0.0810895i 0.423396 0.905945i \(-0.360838\pi\)
−0.160510 + 0.987034i \(0.551314\pi\)
\(168\) −0.603440 0.756689i −0.0465564 0.0583799i
\(169\) −0.353715 + 4.72000i −0.0272089 + 0.363077i
\(170\) −0.375260 0.180716i −0.0287811 0.0138603i
\(171\) 0.989203 0.0756463
\(172\) −4.78964 2.29184i −0.365207 0.174751i
\(173\) −24.0563 −1.82897 −0.914483 0.404623i \(-0.867403\pi\)
−0.914483 + 0.404623i \(0.867403\pi\)
\(174\) −9.90494 4.76997i −0.750892 0.361610i
\(175\) −0.0513297 + 0.684947i −0.00388016 + 0.0517771i
\(176\) 6.48614 + 8.13336i 0.488911 + 0.613075i
\(177\) −11.6531 3.59452i −0.875904 0.270181i
\(178\) −2.41874 + 4.18937i −0.181292 + 0.314007i
\(179\) 2.60094 + 4.50496i 0.194403 + 0.336717i 0.946705 0.322103i \(-0.104390\pi\)
−0.752301 + 0.658819i \(0.771056\pi\)
\(180\) −0.211710 0.927563i −0.0157800 0.0691365i
\(181\) 2.74306 + 0.413450i 0.203890 + 0.0307315i 0.250193 0.968196i \(-0.419506\pi\)
−0.0463029 + 0.998927i \(0.514744\pi\)
\(182\) 0.497431 + 0.461549i 0.0368721 + 0.0342123i
\(183\) 12.2238 15.3282i 0.903612 1.13309i
\(184\) 9.98568 6.80812i 0.736154 0.501902i
\(185\) −7.46908 + 6.93029i −0.549137 + 0.509525i
\(186\) −1.17697 15.7056i −0.0862995 1.15159i
\(187\) −0.622701 + 1.58662i −0.0455364 + 0.116025i
\(188\) 0.0832974 0.364950i 0.00607509 0.0266167i
\(189\) −1.16753 + 0.360137i −0.0849256 + 0.0261961i
\(190\) −1.38486 0.944181i −0.100468 0.0684981i
\(191\) 3.41700 0.515030i 0.247245 0.0372662i −0.0242502 0.999706i \(-0.507720\pi\)
0.271496 + 0.962440i \(0.412482\pi\)
\(192\) 4.31130 + 10.9850i 0.311142 + 0.792776i
\(193\) 16.4497 7.92174i 1.18407 0.570219i 0.264977 0.964255i \(-0.414636\pi\)
0.919095 + 0.394035i \(0.128921\pi\)
\(194\) 4.39300 2.11556i 0.315399 0.151888i
\(195\) −2.07104 5.27692i −0.148310 0.377888i
\(196\) −5.56730 + 0.839136i −0.397664 + 0.0599383i
\(197\) 8.41116 + 5.73463i 0.599270 + 0.408575i 0.824607 0.565705i \(-0.191396\pi\)
−0.225337 + 0.974281i \(0.572348\pi\)
\(198\) 5.46894 1.68694i 0.388661 0.119886i
\(199\) −2.04642 + 8.96595i −0.145067 + 0.635579i 0.849147 + 0.528157i \(0.177117\pi\)
−0.994214 + 0.107422i \(0.965740\pi\)
\(200\) 3.55592 9.06033i 0.251441 0.640662i
\(201\) −0.686440 9.15990i −0.0484177 0.646090i
\(202\) 2.39500 2.22224i 0.168512 0.156356i
\(203\) 1.23402 0.841340i 0.0866111 0.0590505i
\(204\) −0.208240 + 0.261124i −0.0145797 + 0.0182824i
\(205\) −5.07998 4.71353i −0.354801 0.329207i
\(206\) −9.11472 1.37382i −0.635053 0.0957188i
\(207\) −0.763092 3.34332i −0.0530385 0.232377i
\(208\) −2.47971 4.29498i −0.171937 0.297803i
\(209\) −3.42949 + 5.94004i −0.237222 + 0.410881i
\(210\) 0.444648 + 0.137156i 0.0306836 + 0.00946465i
\(211\) −11.8825 14.9002i −0.818025 1.02577i −0.999105 0.0423025i \(-0.986531\pi\)
0.181080 0.983468i \(-0.442041\pi\)
\(212\) −0.505471 + 6.74504i −0.0347159 + 0.463251i
\(213\) 1.94480 + 0.936567i 0.133256 + 0.0641725i
\(214\) 6.83676 0.467352
\(215\) 8.75595 1.34214i 0.597151 0.0915334i
\(216\) 17.3136 1.17804
\(217\) 1.92776 + 0.928360i 0.130865 + 0.0630212i
\(218\) 0.0173394 0.231379i 0.00117437 0.0156709i
\(219\) −0.746315 0.935849i −0.0504313 0.0632388i
\(220\) 6.30389 + 1.94449i 0.425008 + 0.131098i
\(221\) 0.406279 0.703696i 0.0273293 0.0473357i
\(222\) −6.00514 10.4012i −0.403039 0.698084i
\(223\) 1.62391 + 7.11481i 0.108745 + 0.476443i 0.999748 + 0.0224455i \(0.00714523\pi\)
−0.891003 + 0.453997i \(0.849998\pi\)
\(224\) −0.908889 0.136993i −0.0607277 0.00915323i
\(225\) −2.02452 1.87848i −0.134968 0.125232i
\(226\) −7.53181 + 9.44459i −0.501008 + 0.628245i
\(227\) 12.9206 8.80914i 0.857573 0.584683i −0.0527382 0.998608i \(-0.516795\pi\)
0.910311 + 0.413925i \(0.135842\pi\)
\(228\) −0.985251 + 0.914179i −0.0652498 + 0.0605430i
\(229\) −0.0803517 1.07222i −0.00530979 0.0708542i 0.993919 0.110110i \(-0.0351203\pi\)
−0.999229 + 0.0392558i \(0.987501\pi\)
\(230\) −2.12285 + 5.40893i −0.139976 + 0.356654i
\(231\) 0.423723 1.85645i 0.0278790 0.122146i
\(232\) −20.2237 + 6.23818i −1.32775 + 0.409556i
\(233\) −1.10140 0.750923i −0.0721552 0.0491946i 0.526705 0.850048i \(-0.323427\pi\)
−0.598860 + 0.800853i \(0.704380\pi\)
\(234\) −2.69795 + 0.406651i −0.176371 + 0.0265836i
\(235\) 0.228157 + 0.581334i 0.0148833 + 0.0379220i
\(236\) −6.09561 + 2.93549i −0.396790 + 0.191084i
\(237\) −8.09496 + 3.89833i −0.525824 + 0.253224i
\(238\) 0.0243678 + 0.0620881i 0.00157953 + 0.00402457i
\(239\) −14.7110 + 2.21733i −0.951579 + 0.143427i −0.606444 0.795126i \(-0.707405\pi\)
−0.345134 + 0.938553i \(0.612167\pi\)
\(240\) −2.80989 1.91575i −0.181378 0.123661i
\(241\) 22.8421 7.04584i 1.47139 0.453862i 0.547590 0.836747i \(-0.315545\pi\)
0.923796 + 0.382885i \(0.125069\pi\)
\(242\) −6.16000 + 26.9887i −0.395980 + 1.73490i
\(243\) 3.18621 8.11832i 0.204395 0.520790i
\(244\) −0.812834 10.8465i −0.0520363 0.694377i
\(245\) 6.88544 6.38876i 0.439895 0.408163i
\(246\) 6.74923 4.60154i 0.430315 0.293384i
\(247\) 2.03874 2.55650i 0.129722 0.162666i
\(248\) −22.2258 20.6226i −1.41134 1.30953i
\(249\) 10.3989 + 1.56739i 0.659005 + 0.0993290i
\(250\) 2.68104 + 11.7464i 0.169564 + 0.742907i
\(251\) 10.2680 + 17.7846i 0.648108 + 1.12256i 0.983574 + 0.180504i \(0.0577729\pi\)
−0.335466 + 0.942052i \(0.608894\pi\)
\(252\) −0.0761792 + 0.131946i −0.00479884 + 0.00831183i
\(253\) 22.7218 + 7.00875i 1.42851 + 0.440637i
\(254\) 5.31544 + 6.66535i 0.333520 + 0.418221i
\(255\) 0.0416394 0.555639i 0.00260756 0.0347954i
\(256\) 14.2516 + 6.86323i 0.890727 + 0.428952i
\(257\) −22.8388 −1.42464 −0.712322 0.701853i \(-0.752356\pi\)
−0.712322 + 0.701853i \(0.752356\pi\)
\(258\) −0.754269 + 10.4143i −0.0469588 + 0.648368i
\(259\) 1.63165 0.101386
\(260\) −2.83353 1.36456i −0.175728 0.0846261i
\(261\) −0.448772 + 5.98844i −0.0277783 + 0.370675i
\(262\) −12.2156 15.3179i −0.754681 0.946340i
\(263\) 5.88459 + 1.81516i 0.362860 + 0.111927i 0.470823 0.882227i \(-0.343957\pi\)
−0.107964 + 0.994155i \(0.534433\pi\)
\(264\) −13.4916 + 23.3681i −0.830348 + 1.43820i
\(265\) −5.64215 9.77249i −0.346594 0.600319i
\(266\) 0.0597263 + 0.261678i 0.00366206 + 0.0160445i
\(267\) −6.39922 0.964527i −0.391626 0.0590281i
\(268\) −3.73568 3.46621i −0.228193 0.211732i
\(269\) 9.36364 11.7416i 0.570911 0.715900i −0.409621 0.912256i \(-0.634339\pi\)
0.980533 + 0.196355i \(0.0629106\pi\)
\(270\) −6.87765 + 4.68910i −0.418560 + 0.285370i
\(271\) −2.26842 + 2.10479i −0.137797 + 0.127857i −0.746060 0.665878i \(-0.768057\pi\)
0.608263 + 0.793735i \(0.291866\pi\)
\(272\) −0.0364288 0.486108i −0.00220882 0.0294746i
\(273\) −0.331652 + 0.845037i −0.0200725 + 0.0511440i
\(274\) −2.43907 + 10.6863i −0.147349 + 0.645580i
\(275\) 18.2989 5.64446i 1.10346 0.340373i
\(276\) 3.84980 + 2.62475i 0.231731 + 0.157991i
\(277\) −14.9446 + 2.25253i −0.897932 + 0.135341i −0.581760 0.813360i \(-0.697636\pi\)
−0.316172 + 0.948702i \(0.602398\pi\)
\(278\) −4.95056 12.6138i −0.296915 0.756527i
\(279\) −7.75116 + 3.73276i −0.464050 + 0.223475i
\(280\) 0.807080 0.388669i 0.0482322 0.0232274i
\(281\) 4.07782 + 10.3901i 0.243262 + 0.619822i 0.999402 0.0345883i \(-0.0110120\pi\)
−0.756139 + 0.654411i \(0.772917\pi\)
\(282\) −0.727911 + 0.109715i −0.0433465 + 0.00653343i
\(283\) −13.2949 9.06431i −0.790300 0.538818i 0.0995704 0.995031i \(-0.468253\pi\)
−0.889871 + 0.456213i \(0.849206\pi\)
\(284\) 1.14435 0.352984i 0.0679045 0.0209458i
\(285\) 0.498950 2.18604i 0.0295553 0.129490i
\(286\) 6.91169 17.6107i 0.408697 1.04134i
\(287\) 0.0829312 + 1.10664i 0.00489527 + 0.0653229i
\(288\) 2.70918 2.51375i 0.159640 0.148124i
\(289\) −13.9801 + 9.53145i −0.822357 + 0.560674i
\(290\) 6.34416 7.95532i 0.372542 0.467152i
\(291\) 4.78160 + 4.43667i 0.280302 + 0.260082i
\(292\) −0.656663 0.0989760i −0.0384283 0.00579213i
\(293\) 3.26781 + 14.3172i 0.190908 + 0.836421i 0.976127 + 0.217203i \(0.0696933\pi\)
−0.785219 + 0.619218i \(0.787450\pi\)
\(294\) 5.53590 + 9.58846i 0.322860 + 0.559210i
\(295\) 5.64354 9.77490i 0.328580 0.569116i
\(296\) −22.0938 6.81505i −1.28418 0.396117i
\(297\) 21.2384 + 26.6322i 1.23238 + 1.54536i
\(298\) −0.301433 + 4.02235i −0.0174616 + 0.233008i
\(299\) −10.2132 4.91842i −0.590645 0.284440i
\(300\) 3.75244 0.216647
\(301\) −1.17405 0.796159i −0.0676709 0.0458898i
\(302\) −12.5660 −0.723094
\(303\) 3.93792 + 1.89640i 0.226228 + 0.108946i
\(304\) 0.146596 1.95619i 0.00840786 0.112195i
\(305\) 11.3138 + 14.1871i 0.647828 + 0.812351i
\(306\) −0.256268 0.0790483i −0.0146499 0.00451889i
\(307\) −0.0141820 + 0.0245640i −0.000809410 + 0.00140194i −0.866430 0.499299i \(-0.833591\pi\)
0.865620 + 0.500701i \(0.166924\pi\)
\(308\) −0.528214 0.914893i −0.0300978 0.0521309i
\(309\) −2.74397 12.0221i −0.156099 0.683913i
\(310\) 14.4143 + 2.17261i 0.818677 + 0.123396i
\(311\) 7.53405 + 6.99057i 0.427217 + 0.396399i 0.864263 0.503040i \(-0.167785\pi\)
−0.437047 + 0.899439i \(0.643976\pi\)
\(312\) 8.02037 10.0572i 0.454064 0.569378i
\(313\) 14.8130 10.0994i 0.837283 0.570850i −0.0670152 0.997752i \(-0.521348\pi\)
0.904298 + 0.426902i \(0.140395\pi\)
\(314\) 16.4732 15.2849i 0.929637 0.862577i
\(315\) −0.0189949 0.253469i −0.00107024 0.0142813i
\(316\) −1.82109 + 4.64006i −0.102444 + 0.261024i
\(317\) 4.83536 21.1851i 0.271581 1.18987i −0.636566 0.771222i \(-0.719646\pi\)
0.908147 0.418652i \(-0.137497\pi\)
\(318\) 12.7104 3.92064i 0.712765 0.219859i
\(319\) −34.4040 23.4563i −1.92625 1.31330i
\(320\) −10.8003 + 1.62788i −0.603753 + 0.0910012i
\(321\) 3.34145 + 8.51388i 0.186502 + 0.475199i
\(322\) 0.838350 0.403728i 0.0467194 0.0224989i
\(323\) 0.289575 0.139452i 0.0161124 0.00775931i
\(324\) 1.66669 + 4.24666i 0.0925940 + 0.235926i
\(325\) −9.02726 + 1.36064i −0.500742 + 0.0754747i
\(326\) 6.23367 + 4.25005i 0.345251 + 0.235388i
\(327\) 0.296612 0.0914928i 0.0164027 0.00505956i
\(328\) 3.49924 15.3312i 0.193213 0.846522i
\(329\) 0.0365366 0.0930938i 0.00201433 0.00513243i
\(330\) −0.969473 12.9367i −0.0533677 0.712143i
\(331\) −9.69617 + 8.99673i −0.532950 + 0.494505i −0.900116 0.435650i \(-0.856518\pi\)
0.367166 + 0.930155i \(0.380328\pi\)
\(332\) 4.82059 3.28662i 0.264564 0.180377i
\(333\) −4.09044 + 5.12926i −0.224155 + 0.281081i
\(334\) −2.84328 2.63818i −0.155577 0.144355i
\(335\) 8.40681 + 1.26712i 0.459313 + 0.0692303i
\(336\) 0.121185 + 0.530948i 0.00661120 + 0.0289656i
\(337\) 4.71536 + 8.16725i 0.256862 + 0.444898i 0.965400 0.260775i \(-0.0839780\pi\)
−0.708537 + 0.705673i \(0.750645\pi\)
\(338\) 2.58197 4.47211i 0.140441 0.243251i
\(339\) −15.4426 4.76341i −0.838726 0.258713i
\(340\) −0.192737 0.241685i −0.0104527 0.0131072i
\(341\) 4.45786 59.4860i 0.241406 3.22135i
\(342\) −0.972341 0.468255i −0.0525782 0.0253203i
\(343\) −3.01843 −0.162980
\(344\) 12.5721 + 15.6844i 0.677844 + 0.845644i
\(345\) −7.77332 −0.418502
\(346\) 23.6462 + 11.3874i 1.27123 + 0.612192i
\(347\) −1.30647 + 17.4336i −0.0701351 + 0.935887i 0.845526 + 0.533935i \(0.179287\pi\)
−0.915661 + 0.401952i \(0.868332\pi\)
\(348\) −5.08728 6.37925i −0.272707 0.341964i
\(349\) 8.91802 + 2.75084i 0.477370 + 0.147249i 0.524097 0.851658i \(-0.324403\pi\)
−0.0467268 + 0.998908i \(0.514879\pi\)
\(350\) 0.374685 0.648974i 0.0200278 0.0346891i
\(351\) −8.11964 14.0636i −0.433394 0.750661i
\(352\) 5.70226 + 24.9832i 0.303932 + 1.33161i
\(353\) −10.2719 1.54824i −0.546718 0.0824045i −0.130125 0.991498i \(-0.541538\pi\)
−0.416593 + 0.909093i \(0.636776\pi\)
\(354\) 9.75298 + 9.04945i 0.518365 + 0.480973i
\(355\) −1.24565 + 1.56200i −0.0661124 + 0.0829024i
\(356\) −2.96646 + 2.02250i −0.157222 + 0.107192i
\(357\) −0.0654091 + 0.0606908i −0.00346182 + 0.00321210i
\(358\) −0.424111 5.65937i −0.0224150 0.299107i
\(359\) 3.94742 10.0579i 0.208337 0.530834i −0.788065 0.615593i \(-0.788917\pi\)
0.996402 + 0.0847587i \(0.0270119\pi\)
\(360\) −0.801478 + 3.51150i −0.0422416 + 0.185073i
\(361\) −16.9200 + 5.21912i −0.890524 + 0.274690i
\(362\) −2.50059 1.70487i −0.131428 0.0896062i
\(363\) −36.6200 + 5.51957i −1.92205 + 0.289703i
\(364\) 0.183997 + 0.468817i 0.00964407 + 0.0245727i
\(365\) 0.998170 0.480694i 0.0522466 0.0251606i
\(366\) −19.2713 + 9.28058i −1.00733 + 0.485104i
\(367\) 7.07784 + 18.0340i 0.369460 + 0.941369i 0.987838 + 0.155488i \(0.0496951\pi\)
−0.618377 + 0.785881i \(0.712210\pi\)
\(368\) −6.72464 + 1.01358i −0.350546 + 0.0528363i
\(369\) −3.68673 2.51357i −0.191924 0.130851i
\(370\) 10.6223 3.27655i 0.552228 0.170340i
\(371\) −0.402106 + 1.76174i −0.0208763 + 0.0914651i
\(372\) 4.27053 10.8811i 0.221417 0.564161i
\(373\) 2.56665 + 34.2496i 0.132896 + 1.77338i 0.522737 + 0.852494i \(0.324911\pi\)
−0.389841 + 0.920882i \(0.627470\pi\)
\(374\) 1.36314 1.26481i 0.0704861 0.0654016i
\(375\) −13.3175 + 9.07974i −0.687715 + 0.468876i
\(376\) −0.883567 + 1.10796i −0.0455665 + 0.0571386i
\(377\) 14.5516 + 13.5019i 0.749447 + 0.695385i
\(378\) 1.31811 + 0.198673i 0.0677962 + 0.0102186i
\(379\) −0.574248 2.51594i −0.0294971 0.129235i 0.958036 0.286649i \(-0.0925414\pi\)
−0.987533 + 0.157414i \(0.949684\pi\)
\(380\) −0.621991 1.07732i −0.0319075 0.0552654i
\(381\) −5.70251 + 9.87704i −0.292148 + 0.506016i
\(382\) −3.60255 1.11124i −0.184323 0.0568560i
\(383\) 8.92040 + 11.1858i 0.455811 + 0.571569i 0.955633 0.294559i \(-0.0951727\pi\)
−0.499822 + 0.866128i \(0.666601\pi\)
\(384\) 0.0352540 0.470432i 0.00179905 0.0240066i
\(385\) 1.58790 + 0.764693i 0.0809270 + 0.0389724i
\(386\) −19.9191 −1.01386
\(387\) 5.44606 1.69481i 0.276839 0.0861521i
\(388\) 3.61881 0.183717
\(389\) 14.2240 + 6.84991i 0.721185 + 0.347304i 0.758210 0.652010i \(-0.226074\pi\)
−0.0370254 + 0.999314i \(0.511788\pi\)
\(390\) −0.462177 + 6.16733i −0.0234033 + 0.312295i
\(391\) −0.694706 0.871133i −0.0351328 0.0440551i
\(392\) 20.3674 + 6.28252i 1.02871 + 0.317315i
\(393\) 13.1051 22.6987i 0.661066 1.14500i
\(394\) −5.55321 9.61843i −0.279766 0.484570i
\(395\) −1.85045 8.10736i −0.0931064 0.407926i
\(396\) 4.20025 + 0.633086i 0.211071 + 0.0318138i
\(397\) 21.3361 + 19.7970i 1.07083 + 0.993585i 0.999992 0.00390325i \(-0.00124245\pi\)
0.0708372 + 0.997488i \(0.477433\pi\)
\(398\) 6.25571 7.84441i 0.313570 0.393205i
\(399\) −0.296679 + 0.202272i −0.0148525 + 0.0101263i
\(400\) −4.01479 + 3.72518i −0.200740 + 0.186259i
\(401\) 1.06942 + 14.2704i 0.0534043 + 0.712631i 0.958075 + 0.286519i \(0.0924980\pi\)
−0.904670 + 0.426112i \(0.859883\pi\)
\(402\) −3.66125 + 9.32871i −0.182606 + 0.465274i
\(403\) −6.32812 + 27.7253i −0.315226 + 1.38110i
\(404\) 2.31712 0.714738i 0.115281 0.0355596i
\(405\) −6.28835 4.28733i −0.312471 0.213039i
\(406\) −1.61125 + 0.242856i −0.0799648 + 0.0120527i
\(407\) −16.6193 42.3453i −0.823789 2.09898i
\(408\) 1.13918 0.548602i 0.0563980 0.0271598i
\(409\) −27.4363 + 13.2126i −1.35664 + 0.653322i −0.963884 0.266321i \(-0.914192\pi\)
−0.392754 + 0.919644i \(0.628478\pi\)
\(410\) 2.76216 + 7.03787i 0.136413 + 0.347576i
\(411\) −14.4998 + 2.18549i −0.715221 + 0.107802i
\(412\) −5.65251 3.85382i −0.278479 0.189864i
\(413\) −1.72719 + 0.532768i −0.0849895 + 0.0262158i
\(414\) −0.832531 + 3.64756i −0.0409167 + 0.179268i
\(415\) −3.55604 + 9.06065i −0.174559 + 0.444770i
\(416\) −0.912946 12.1824i −0.0447608 0.597292i
\(417\) 13.2885 12.3300i 0.650742 0.603800i
\(418\) 6.18284 4.21539i 0.302413 0.206181i
\(419\) 22.1749 27.8065i 1.08332 1.35844i 0.154459 0.987999i \(-0.450637\pi\)
0.928858 0.370437i \(-0.120792\pi\)
\(420\) 0.253164 + 0.234902i 0.0123531 + 0.0114620i
\(421\) −16.3130 2.45879i −0.795047 0.119834i −0.261056 0.965324i \(-0.584071\pi\)
−0.533992 + 0.845490i \(0.679309\pi\)
\(422\) 4.62672 + 20.2710i 0.225225 + 0.986775i
\(423\) 0.201055 + 0.348237i 0.00977561 + 0.0169318i
\(424\) 12.8032 22.1759i 0.621780 1.07696i
\(425\) −0.857465 0.264493i −0.0415932 0.0128298i
\(426\) −1.46831 1.84121i −0.0711400 0.0892067i
\(427\) 0.217156 2.89774i 0.0105089 0.140231i
\(428\) 4.57167 + 2.20160i 0.220980 + 0.106418i
\(429\) 25.3088 1.22192
\(430\) −9.24202 2.82550i −0.445690 0.136258i
\(431\) −9.05750 −0.436285 −0.218142 0.975917i \(-0.570000\pi\)
−0.218142 + 0.975917i \(0.570000\pi\)
\(432\) −8.77750 4.22702i −0.422308 0.203373i
\(433\) 1.29146 17.2334i 0.0620638 0.828184i −0.876130 0.482074i \(-0.839884\pi\)
0.938194 0.346110i \(-0.112497\pi\)
\(434\) −1.45545 1.82507i −0.0698636 0.0876062i
\(435\) 13.0075 + 4.01229i 0.623663 + 0.192375i
\(436\) 0.0861040 0.149137i 0.00412364 0.00714235i
\(437\) −2.24191 3.88311i −0.107245 0.185754i
\(438\) 0.290594 + 1.27318i 0.0138851 + 0.0608347i
\(439\) −18.2692 2.75364i −0.871943 0.131424i −0.302197 0.953245i \(-0.597720\pi\)
−0.569745 + 0.821821i \(0.692958\pi\)
\(440\) −18.3075 16.9869i −0.872775 0.809817i
\(441\) 3.77082 4.72845i 0.179563 0.225165i
\(442\) −0.732459 + 0.499382i −0.0348395 + 0.0237532i
\(443\) 6.55737 6.08435i 0.311550 0.289076i −0.508863 0.860848i \(-0.669934\pi\)
0.820413 + 0.571771i \(0.193744\pi\)
\(444\) −0.666137 8.88897i −0.0316134 0.421852i
\(445\) 2.18829 5.57568i 0.103735 0.264313i
\(446\) 1.77168 7.76223i 0.0838914 0.367552i
\(447\) −5.15639 + 1.59054i −0.243889 + 0.0752297i
\(448\) 1.44515 + 0.985287i 0.0682770 + 0.0465504i
\(449\) 20.0461 3.02146i 0.946032 0.142591i 0.342132 0.939652i \(-0.388851\pi\)
0.603900 + 0.797060i \(0.293613\pi\)
\(450\) 1.10080 + 2.80480i 0.0518923 + 0.132219i
\(451\) 27.8753 13.4240i 1.31260 0.632113i
\(452\) −8.07782 + 3.89007i −0.379949 + 0.182974i
\(453\) −6.14162 15.6486i −0.288558 0.735235i
\(454\) −16.8703 + 2.54279i −0.791764 + 0.119339i
\(455\) −0.694213 0.473306i −0.0325452 0.0221889i
\(456\) 4.86212 1.49976i 0.227689 0.0702329i
\(457\) 2.39474 10.4921i 0.112021 0.490797i −0.887527 0.460755i \(-0.847579\pi\)
0.999549 0.0300423i \(-0.00956421\pi\)
\(458\) −0.428570 + 1.09198i −0.0200257 + 0.0510248i
\(459\) −0.119284 1.59173i −0.00556768 0.0742956i
\(460\) −3.16133 + 2.93328i −0.147398 + 0.136765i
\(461\) −7.03749 + 4.79808i −0.327769 + 0.223469i −0.716012 0.698088i \(-0.754034\pi\)
0.388243 + 0.921557i \(0.373082\pi\)
\(462\) −1.29528 + 1.62423i −0.0602620 + 0.0755662i
\(463\) 1.66719 + 1.54693i 0.0774811 + 0.0718919i 0.717963 0.696082i \(-0.245075\pi\)
−0.640482 + 0.767973i \(0.721265\pi\)
\(464\) 11.7759 + 1.77493i 0.546681 + 0.0823989i
\(465\) 4.33939 + 19.0121i 0.201234 + 0.881666i
\(466\) 0.727166 + 1.25949i 0.0336853 + 0.0583447i
\(467\) 15.1256 26.1983i 0.699930 1.21231i −0.268560 0.963263i \(-0.586548\pi\)
0.968490 0.249052i \(-0.0801189\pi\)
\(468\) −1.93504 0.596882i −0.0894474 0.0275909i
\(469\) −0.848855 1.06443i −0.0391965 0.0491509i
\(470\) 0.0509160 0.679426i 0.00234858 0.0313396i
\(471\) 27.0857 + 13.0438i 1.24804 + 0.601025i
\(472\) 25.6128 1.17892
\(473\) −8.70393 + 38.5787i −0.400207 + 1.77385i
\(474\) 9.80231 0.450235
\(475\) −3.25342 1.56676i −0.149277 0.0718881i
\(476\) −0.00369937 + 0.0493646i −0.000169560 + 0.00226262i
\(477\) −4.53015 5.68063i −0.207422 0.260098i
\(478\) 15.5099 + 4.78417i 0.709406 + 0.218823i
\(479\) −6.78977 + 11.7602i −0.310233 + 0.537338i −0.978413 0.206661i \(-0.933740\pi\)
0.668180 + 0.744000i \(0.267074\pi\)
\(480\) −4.18865 7.25495i −0.191185 0.331142i
\(481\) 4.82568 + 21.1427i 0.220032 + 0.964024i
\(482\) −25.7880 3.88691i −1.17461 0.177044i
\(483\) 0.912508 + 0.846683i 0.0415205 + 0.0385254i
\(484\) −12.8101 + 16.0634i −0.582279 + 0.730154i
\(485\) −4.98822 + 3.40091i −0.226504 + 0.154428i
\(486\) −6.97483 + 6.47170i −0.316385 + 0.293562i
\(487\) −2.78410 37.1512i −0.126159 1.68348i −0.597765 0.801672i \(-0.703944\pi\)
0.471605 0.881810i \(-0.343675\pi\)
\(488\) −15.0437 + 38.3307i −0.680996 + 1.73515i
\(489\) −2.24593 + 9.84005i −0.101564 + 0.444982i
\(490\) −9.79229 + 3.02052i −0.442371 + 0.136453i
\(491\) 16.9652 + 11.5667i 0.765629 + 0.521997i 0.882023 0.471206i \(-0.156181\pi\)
−0.116394 + 0.993203i \(0.537134\pi\)
\(492\) 5.99494 0.903592i 0.270273 0.0407371i
\(493\) 0.712843 + 1.81629i 0.0321048 + 0.0818018i
\(494\) −3.21414 + 1.54785i −0.144611 + 0.0696411i
\(495\) −6.38466 + 3.07469i −0.286969 + 0.138197i
\(496\) 6.23299 + 15.8814i 0.279870 + 0.713096i
\(497\) 0.316363 0.0476840i 0.0141908 0.00213892i
\(498\) −9.47972 6.46316i −0.424796 0.289621i
\(499\) 6.66084 2.05460i 0.298180 0.0919763i −0.142056 0.989859i \(-0.545371\pi\)
0.440235 + 0.897882i \(0.354895\pi\)
\(500\) −1.98984 + 8.71804i −0.0889882 + 0.389883i
\(501\) 1.89570 4.83017i 0.0846937 0.215796i
\(502\) −1.67430 22.3420i −0.0747277 0.997172i
\(503\) −9.51112 + 8.82503i −0.424080 + 0.393488i −0.863136 0.504971i \(-0.831503\pi\)
0.439057 + 0.898459i \(0.355313\pi\)
\(504\) 0.476564 0.324916i 0.0212279 0.0144729i
\(505\) −2.52226 + 3.16281i −0.112239 + 0.140743i
\(506\) −19.0168 17.6450i −0.845400 0.784417i
\(507\) 6.83109 + 1.02962i 0.303379 + 0.0457271i
\(508\) 1.40798 + 6.16874i 0.0624688 + 0.273694i
\(509\) −14.9031 25.8129i −0.660568 1.14414i −0.980467 0.196686i \(-0.936982\pi\)
0.319898 0.947452i \(-0.396351\pi\)
\(510\) −0.303950 + 0.526457i −0.0134591 + 0.0233119i
\(511\) −0.169533 0.0522939i −0.00749969 0.00231335i
\(512\) −11.1629 13.9979i −0.493337 0.618625i
\(513\) 0.480019 6.40541i 0.0211934 0.282806i
\(514\) 22.4495 + 10.8111i 0.990204 + 0.476857i
\(515\) 11.4133 0.502929
\(516\) −3.85803 + 6.72106i −0.169840 + 0.295878i
\(517\) −2.78816 −0.122623
\(518\) −1.60384 0.772368i −0.0704686 0.0339359i
\(519\) −2.62382 + 35.0125i −0.115173 + 1.53688i
\(520\) 7.42329 + 9.30852i 0.325533 + 0.408205i
\(521\) −29.7906 9.18917i −1.30515 0.402585i −0.437256 0.899337i \(-0.644050\pi\)
−0.867892 + 0.496752i \(0.834526\pi\)
\(522\) 3.27585 5.67393i 0.143380 0.248341i
\(523\) −6.95091 12.0393i −0.303942 0.526443i 0.673083 0.739567i \(-0.264970\pi\)
−0.977025 + 0.213124i \(0.931636\pi\)
\(524\) −3.23571 14.1766i −0.141353 0.619307i
\(525\) 0.991300 + 0.149414i 0.0432639 + 0.00652098i
\(526\) −4.92505 4.56978i −0.214742 0.199252i
\(527\) −1.74282 + 2.18542i −0.0759183 + 0.0951986i
\(528\) 12.5450 8.55307i 0.545953 0.372225i
\(529\) 5.46546 5.07120i 0.237629 0.220487i
\(530\) 0.920012 + 12.2767i 0.0399628 + 0.533266i
\(531\) 2.65515 6.76521i 0.115224 0.293585i
\(532\) −0.0443282 + 0.194215i −0.00192187 + 0.00842027i
\(533\) −14.0944 + 4.34755i −0.610496 + 0.188313i
\(534\) 5.83356 + 3.97726i 0.252443 + 0.172113i
\(535\) −8.37069 + 1.26168i −0.361896 + 0.0545471i
\(536\) 7.04828 + 17.9587i 0.304439 + 0.775699i
\(537\) 6.84038 3.29415i 0.295184 0.142153i
\(538\) −14.7621 + 7.10906i −0.636440 + 0.306493i
\(539\) 15.3207 + 39.0365i 0.659908 + 1.68142i
\(540\) −6.10901 + 0.920785i −0.262890 + 0.0396243i
\(541\) −17.1344 11.6820i −0.736664 0.502249i 0.135916 0.990720i \(-0.456602\pi\)
−0.872580 + 0.488472i \(0.837555\pi\)
\(542\) 3.22609 0.995118i 0.138573 0.0427440i
\(543\) 0.900937 3.94726i 0.0386629 0.169393i
\(544\) 0.438699 1.11779i 0.0188091 0.0479247i
\(545\) 0.0214696 + 0.286491i 0.000919655 + 0.0122719i
\(546\) 0.726011 0.673640i 0.0310704 0.0288291i
\(547\) 16.9135 11.5314i 0.723169 0.493049i −0.144928 0.989442i \(-0.546295\pi\)
0.868098 + 0.496394i \(0.165343\pi\)
\(548\) −5.07220 + 6.36034i −0.216674 + 0.271700i
\(549\) 8.56494 + 7.94710i 0.365543 + 0.339174i
\(550\) −20.6589 3.11382i −0.880896 0.132774i
\(551\) 1.74721 + 7.65501i 0.0744335 + 0.326114i
\(552\) −8.81966 15.2761i −0.375390 0.650194i
\(553\) −0.665844 + 1.15328i −0.0283146 + 0.0490423i
\(554\) 15.7561 + 4.86011i 0.669413 + 0.206486i
\(555\) 9.27195 + 11.6267i 0.393573 + 0.493524i
\(556\) 0.751563 10.0289i 0.0318734 0.425321i
\(557\) 15.3932 + 7.41296i 0.652229 + 0.314097i 0.730578 0.682829i \(-0.239251\pi\)
−0.0783489 + 0.996926i \(0.524965\pi\)
\(558\) 9.38600 0.397341
\(559\) 6.84422 17.5678i 0.289480 0.743039i
\(560\) −0.504059 −0.0213004
\(561\) 2.24130 + 1.07936i 0.0946280 + 0.0455704i
\(562\) 0.910015 12.1433i 0.0383867 0.512235i
\(563\) −7.02348 8.80717i −0.296004 0.371178i 0.611483 0.791258i \(-0.290573\pi\)
−0.907487 + 0.420080i \(0.862002\pi\)
\(564\) −0.522077 0.161039i −0.0219834 0.00678098i
\(565\) 7.47874 12.9536i 0.314633 0.544960i
\(566\) 8.77755 + 15.2032i 0.368948 + 0.639037i
\(567\) 0.271205 + 1.18823i 0.0113895 + 0.0499008i
\(568\) −4.48296 0.675698i −0.188101 0.0283517i
\(569\) 5.89078 + 5.46585i 0.246955 + 0.229140i 0.793931 0.608007i \(-0.208031\pi\)
−0.546977 + 0.837148i \(0.684221\pi\)
\(570\) −1.52524 + 1.91259i −0.0638854 + 0.0801098i
\(571\) −24.0538 + 16.3996i −1.00662 + 0.686302i −0.950050 0.312096i \(-0.898969\pi\)
−0.0565700 + 0.998399i \(0.518016\pi\)
\(572\) 10.2928 9.55035i 0.430365 0.399320i
\(573\) −0.376902 5.02941i −0.0157453 0.210106i
\(574\) 0.442328 1.12703i 0.0184624 0.0470414i
\(575\) −2.78562 + 12.2046i −0.116168 + 0.508967i
\(576\) −6.72025 + 2.07292i −0.280010 + 0.0863718i
\(577\) −5.93710 4.04784i −0.247165 0.168514i 0.433401 0.901201i \(-0.357313\pi\)
−0.680565 + 0.732687i \(0.738266\pi\)
\(578\) 18.2536 2.75129i 0.759251 0.114439i
\(579\) −9.73544 24.8055i −0.404591 1.03088i
\(580\) 6.80407 3.27667i 0.282523 0.136056i
\(581\) 1.40434 0.676297i 0.0582620 0.0280575i
\(582\) −2.59992 6.62449i −0.107770 0.274594i
\(583\) 49.8172 7.50873i 2.06322 0.310980i
\(584\) 2.07719 + 1.41620i 0.0859547 + 0.0586029i
\(585\) 3.22823 0.995778i 0.133471 0.0411703i
\(586\) 3.56517 15.6200i 0.147276 0.645258i
\(587\) −10.8541 + 27.6558i −0.447997 + 1.14148i 0.511381 + 0.859354i \(0.329134\pi\)
−0.959378 + 0.282123i \(0.908961\pi\)
\(588\) 0.614084 + 8.19439i 0.0253244 + 0.337931i
\(589\) −8.24584 + 7.65102i −0.339764 + 0.315255i
\(590\) −10.1744 + 6.93682i −0.418875 + 0.285584i
\(591\) 9.26380 11.6164i 0.381062 0.477837i
\(592\) 9.53712 + 8.84915i 0.391973 + 0.363698i
\(593\) −31.8484 4.80037i −1.30786 0.197127i −0.542130 0.840295i \(-0.682382\pi\)
−0.765726 + 0.643167i \(0.777620\pi\)
\(594\) −8.26966 36.2318i −0.339308 1.48661i
\(595\) −0.0412930 0.0715215i −0.00169285 0.00293210i
\(596\) −1.49686 + 2.59263i −0.0613136 + 0.106198i
\(597\) 12.8262 + 3.95635i 0.524940 + 0.161923i
\(598\) 7.71091 + 9.66917i 0.315322 + 0.395402i
\(599\) −1.13778 + 15.1826i −0.0464885 + 0.620346i 0.924494 + 0.381196i \(0.124488\pi\)
−0.970983 + 0.239150i \(0.923131\pi\)
\(600\) −12.7989 6.16363i −0.522513 0.251629i
\(601\) −14.8489 −0.605699 −0.302849 0.953038i \(-0.597938\pi\)
−0.302849 + 0.953038i \(0.597938\pi\)
\(602\) 0.777159 + 1.33834i 0.0316747 + 0.0545467i
\(603\) 5.47417 0.222925
\(604\) −8.40276 4.04656i −0.341904 0.164652i
\(605\) 2.56150 34.1808i 0.104140 1.38965i
\(606\) −2.97311 3.72816i −0.120774 0.151446i
\(607\) −8.93135 2.75496i −0.362512 0.111820i 0.108148 0.994135i \(-0.465508\pi\)
−0.470660 + 0.882315i \(0.655984\pi\)
\(608\) 2.41611 4.18482i 0.0979860 0.169717i
\(609\) −1.08992 1.88780i −0.0441659 0.0764976i
\(610\) −4.40529 19.3009i −0.178365 0.781469i
\(611\) 1.31435 + 0.198107i 0.0531731 + 0.00801455i
\(612\) −0.145908 0.135383i −0.00589800 0.00547254i
\(613\) 19.2070 24.0849i 0.775765 0.972779i −0.224233 0.974536i \(-0.571988\pi\)
0.999998 + 0.00175653i \(0.000559122\pi\)
\(614\) 0.0255680 0.0174320i 0.00103184 0.000703497i
\(615\) −7.41433 + 6.87949i −0.298974 + 0.277408i
\(616\) 0.298872 + 3.98817i 0.0120419 + 0.160688i
\(617\) −1.40309 + 3.57502i −0.0564864 + 0.143925i −0.956331 0.292285i \(-0.905584\pi\)
0.899845 + 0.436210i \(0.143680\pi\)
\(618\) −2.99366 + 13.1161i −0.120423 + 0.527606i
\(619\) 32.6404 10.0682i 1.31193 0.404676i 0.441629 0.897198i \(-0.354401\pi\)
0.870300 + 0.492521i \(0.163925\pi\)
\(620\) 8.93905 + 6.09454i 0.359001 + 0.244763i
\(621\) −22.0194 + 3.31889i −0.883608 + 0.133182i
\(622\) −4.09653 10.4378i −0.164256 0.418517i
\(623\) −0.864195 + 0.416175i −0.0346233 + 0.0166737i
\(624\) −6.52153 + 3.14060i −0.261070 + 0.125725i
\(625\) 0.349803 + 0.891285i 0.0139921 + 0.0356514i
\(626\) −19.3412 + 2.91522i −0.773031 + 0.116516i
\(627\) 8.27131 + 5.63928i 0.330324 + 0.225211i
\(628\) 15.9375 4.91608i 0.635977 0.196173i
\(629\) −0.474327 + 2.07816i −0.0189126 + 0.0828617i
\(630\) −0.101312 + 0.258140i −0.00403638 + 0.0102845i
\(631\) −0.687936 9.17986i −0.0273863 0.365445i −0.994013 0.109257i \(-0.965153\pi\)
0.966627 0.256187i \(-0.0824663\pi\)
\(632\) 13.8330 12.8352i 0.550248 0.510556i
\(633\) −22.9823 + 15.6691i −0.913465 + 0.622790i
\(634\) −14.7812 + 18.5351i −0.587038 + 0.736123i
\(635\) −7.73808 7.17989i −0.307076 0.284925i
\(636\) 9.76185 + 1.47136i 0.387083 + 0.0583433i
\(637\) −4.44860 19.4906i −0.176260 0.772246i
\(638\) 22.7142 + 39.3421i 0.899263 + 1.55757i
\(639\) −0.643201 + 1.11406i −0.0254447 + 0.0440714i
\(640\) 0.417233 + 0.128699i 0.0164926 + 0.00508729i
\(641\) 2.10948 + 2.64521i 0.0833196 + 0.104479i 0.821744 0.569857i \(-0.193001\pi\)
−0.738424 + 0.674336i \(0.764430\pi\)
\(642\) 0.745686 9.95049i 0.0294299 0.392714i
\(643\) −10.1874 4.90598i −0.401751 0.193473i 0.222087 0.975027i \(-0.428713\pi\)
−0.623838 + 0.781554i \(0.714427\pi\)
\(644\) 0.690605 0.0272137
\(645\) −0.998394 12.8901i −0.0393117 0.507548i
\(646\) −0.350651 −0.0137962
\(647\) 20.4890 + 9.86700i 0.805507 + 0.387912i 0.790873 0.611981i \(-0.209627\pi\)
0.0146350 + 0.999893i \(0.495341\pi\)
\(648\) 1.29063 17.2223i 0.0507008 0.676555i
\(649\) 31.4191 + 39.3983i 1.23331 + 1.54652i
\(650\) 9.51746 + 2.93575i 0.373306 + 0.115150i
\(651\) 1.56143 2.70448i 0.0611973 0.105997i
\(652\) 2.79977 + 4.84935i 0.109648 + 0.189915i
\(653\) −5.74350 25.1639i −0.224760 0.984739i −0.953841 0.300312i \(-0.902909\pi\)
0.729081 0.684428i \(-0.239948\pi\)
\(654\) −0.334866 0.0504729i −0.0130943 0.00197365i
\(655\) 17.7831 + 16.5003i 0.694844 + 0.644721i
\(656\) −5.51705 + 6.91816i −0.215404 + 0.270109i
\(657\) 0.589399 0.401846i 0.0229947 0.0156775i
\(658\) −0.0799813 + 0.0742118i −0.00311799 + 0.00289308i
\(659\) 0.761704 + 10.1642i 0.0296718 + 0.395942i 0.992191 + 0.124729i \(0.0398060\pi\)
−0.962519 + 0.271214i \(0.912575\pi\)
\(660\) 3.51765 8.96283i 0.136924 0.348878i
\(661\) 2.96298 12.9817i 0.115247 0.504928i −0.884049 0.467395i \(-0.845193\pi\)
0.999295 0.0375336i \(-0.0119501\pi\)
\(662\) 13.7896 4.25354i 0.535949 0.165318i
\(663\) −0.979873 0.668066i −0.0380551 0.0259455i
\(664\) −21.8407 + 3.29195i −0.847583 + 0.127753i
\(665\) −0.121418 0.309367i −0.00470838 0.0119967i
\(666\) 6.44874 3.10555i 0.249883 0.120338i
\(667\) 24.5247 11.8105i 0.949600 0.457303i
\(668\) −1.05171 2.67972i −0.0406920 0.103682i
\(669\) 10.5323 1.58749i 0.407201 0.0613757i
\(670\) −7.66370 5.22502i −0.296075 0.201860i
\(671\) −77.4153 + 23.8795i −2.98858 + 0.921856i
\(672\) −0.298517 + 1.30789i −0.0115156 + 0.0504530i
\(673\) −2.30694 + 5.87798i −0.0889259 + 0.226579i −0.968417 0.249336i \(-0.919788\pi\)
0.879491 + 0.475915i \(0.157883\pi\)
\(674\) −0.768890 10.2601i −0.0296165 0.395205i
\(675\) −13.1462 + 12.1979i −0.505997 + 0.469496i
\(676\) 3.16666 2.15899i 0.121795 0.0830382i
\(677\) −16.2431 + 20.3682i −0.624273 + 0.782814i −0.988939 0.148325i \(-0.952612\pi\)
0.364666 + 0.931139i \(0.381183\pi\)
\(678\) 12.9245 + 11.9922i 0.496363 + 0.460558i
\(679\) 0.955999 + 0.144094i 0.0366879 + 0.00552981i
\(680\) 0.260410 + 1.14093i 0.00998625 + 0.0437526i
\(681\) −11.4119 19.7660i −0.437305 0.757435i
\(682\) −32.5405 + 56.3618i −1.24604 + 2.15820i
\(683\) −47.0692 14.5189i −1.80105 0.555551i −0.801930 0.597418i \(-0.796193\pi\)
−0.999123 + 0.0418665i \(0.986670\pi\)
\(684\) −0.499405 0.626234i −0.0190952 0.0239446i
\(685\) 1.01423 13.5340i 0.0387518 0.517107i
\(686\) 2.96698 + 1.42882i 0.113280 + 0.0545527i
\(687\) −1.56931 −0.0598730
\(688\) −2.54447 11.0210i −0.0970070 0.420171i
\(689\) −24.0176 −0.914999
\(690\) 7.64082 + 3.67963i 0.290881 + 0.140081i
\(691\) −3.68891 + 49.2251i −0.140333 + 1.87261i 0.272978 + 0.962020i \(0.411991\pi\)
−0.413311 + 0.910590i \(0.635628\pi\)
\(692\) 12.1450 + 15.2293i 0.461682 + 0.578931i
\(693\) 1.08439 + 0.334491i 0.0411927 + 0.0127063i
\(694\) 9.53670 16.5180i 0.362008 0.627016i
\(695\) 8.38908 + 14.5303i 0.318216 + 0.551166i
\(696\) 6.87349 + 30.1147i 0.260539 + 1.14150i
\(697\) −1.43359 0.216078i −0.0543009 0.00818455i
\(698\) −7.46385 6.92544i −0.282511 0.262132i
\(699\) −1.21305 + 1.52112i −0.0458818 + 0.0575340i
\(700\) 0.459533 0.313304i 0.0173687 0.0118418i
\(701\) 12.8277 11.9024i 0.484495 0.449546i −0.399712 0.916641i \(-0.630890\pi\)
0.884207 + 0.467095i \(0.154699\pi\)
\(702\) 1.32399 + 17.6675i 0.0499709 + 0.666815i
\(703\) −3.13388 + 7.98500i −0.118197 + 0.301160i
\(704\) 10.8509 47.5409i 0.408959 1.79177i
\(705\) 0.870981 0.268662i 0.0328030 0.0101184i
\(706\) 9.36392 + 6.38421i 0.352416 + 0.240273i
\(707\) 0.640585 0.0965527i 0.0240917 0.00363124i
\(708\) 3.60758 + 9.19196i 0.135581 + 0.345455i
\(709\) −28.7314 + 13.8363i −1.07903 + 0.519634i −0.887007 0.461756i \(-0.847220\pi\)
−0.192025 + 0.981390i \(0.561505\pi\)
\(710\) 1.96382 0.945725i 0.0737008 0.0354924i
\(711\) −1.95621 4.98433i −0.0733635 0.186927i
\(712\) 13.4402 2.02578i 0.503691 0.0759192i
\(713\) 32.2201 + 21.9673i 1.20665 + 0.822680i
\(714\) 0.0930231 0.0286938i 0.00348130 0.00107384i
\(715\) −5.21249 + 22.8374i −0.194936 + 0.854071i
\(716\) 1.53885 3.92093i 0.0575096 0.146532i
\(717\) 1.62266 + 21.6529i 0.0605993 + 0.808641i
\(718\) −8.64119 + 8.01785i −0.322486 + 0.299224i
\(719\) 35.7184 24.3524i 1.33207 0.908190i 0.332677 0.943041i \(-0.392048\pi\)
0.999393 + 0.0348509i \(0.0110956\pi\)
\(720\) 1.26364 1.58456i 0.0470932 0.0590531i
\(721\) −1.33980 1.24315i −0.0498968 0.0462974i
\(722\) 19.1021 + 2.87918i 0.710906 + 0.107152i
\(723\) −7.76340 34.0137i −0.288724 1.26498i
\(724\) −1.12311 1.94528i −0.0417400 0.0722958i
\(725\) 10.9609 18.9848i 0.407076 0.705077i
\(726\) 38.6086 + 11.9092i 1.43290 + 0.441990i
\(727\) −2.61281 3.27636i −0.0969039 0.121514i 0.731015 0.682361i \(-0.239047\pi\)
−0.827919 + 0.560848i \(0.810475\pi\)
\(728\) 0.142481 1.90128i 0.00528071 0.0704662i
\(729\) −26.6965 12.8563i −0.988757 0.476161i
\(730\) −1.20870 −0.0447360
\(731\) 1.35533 1.26388i 0.0501288 0.0467464i
\(732\) −15.8751 −0.586760
\(733\) −44.3364 21.3513i −1.63760 0.788629i −0.999831 0.0184045i \(-0.994141\pi\)
−0.637773 0.770224i \(-0.720144\pi\)
\(734\) 1.57951 21.0771i 0.0583007 0.777968i
\(735\) −8.54744 10.7182i −0.315277 0.395345i
\(736\) −16.0077 4.93774i −0.590053 0.182007i
\(737\) −18.9785 + 32.8717i −0.699082 + 1.21085i
\(738\) 2.43405 + 4.21590i 0.0895987 + 0.155189i
\(739\) 0.558133 + 2.44534i 0.0205313 + 0.0899533i 0.984156 0.177307i \(-0.0567387\pi\)
−0.963624 + 0.267261i \(0.913882\pi\)
\(740\) 8.15815 + 1.22964i 0.299900 + 0.0452026i
\(741\) −3.49846 3.24609i −0.128519 0.119248i
\(742\) 1.22920 1.54137i 0.0451254 0.0565854i
\(743\) 14.7210 10.0366i 0.540059 0.368206i −0.262357 0.964971i \(-0.584500\pi\)
0.802416 + 0.596765i \(0.203547\pi\)
\(744\) −32.4390 + 30.0990i −1.18927 + 1.10348i
\(745\) −0.373233 4.98044i −0.0136742 0.182469i
\(746\) 13.6897 34.8807i 0.501215 1.27707i
\(747\) −1.39460 + 6.11013i −0.0510256 + 0.223558i
\(748\) 1.31881 0.406800i 0.0482205 0.0148741i
\(749\) 1.12006 + 0.763641i 0.0409260 + 0.0279028i
\(750\) 17.3886 2.62091i 0.634941 0.0957019i
\(751\) 14.1468 + 36.0454i 0.516223 + 1.31532i 0.916908 + 0.399099i \(0.130677\pi\)
−0.400684 + 0.916216i \(0.631228\pi\)
\(752\) 0.718447 0.345986i 0.0261991 0.0126168i
\(753\) 27.0044 13.0046i 0.984094 0.473915i
\(754\) −7.91223 20.1600i −0.288146 0.734185i
\(755\) 15.3854 2.31897i 0.559932 0.0843961i
\(756\) 0.817428 + 0.557313i 0.0297296 + 0.0202693i
\(757\) 29.5522 9.11563i 1.07409 0.331313i 0.293246 0.956037i \(-0.405265\pi\)
0.780846 + 0.624724i \(0.214788\pi\)
\(758\) −0.626503 + 2.74489i −0.0227556 + 0.0996988i
\(759\) 12.6791 32.3058i 0.460221 1.17262i
\(760\) 0.351933 + 4.69621i 0.0127659 + 0.170350i
\(761\) 31.4994 29.2271i 1.14185 1.05948i 0.144300 0.989534i \(-0.453907\pi\)
0.997551 0.0699487i \(-0.0222836\pi\)
\(762\) 10.2808 7.00930i 0.372433 0.253920i
\(763\) 0.0286848 0.0359696i 0.00103846 0.00130219i
\(764\) −2.05114 1.90318i −0.0742077 0.0688546i
\(765\) 0.328354 + 0.0494914i 0.0118717 + 0.00178936i
\(766\) −3.47336 15.2178i −0.125498 0.549841i
\(767\) −12.0118 20.8050i −0.433720 0.751225i
\(768\) 11.5434 19.9938i 0.416538 0.721464i
\(769\) 11.0134 + 3.39717i 0.397152 + 0.122505i 0.486896 0.873460i \(-0.338129\pi\)
−0.0897448 + 0.995965i \(0.528605\pi\)
\(770\) −1.19886 1.50332i −0.0432038 0.0541758i