Properties

Label 43.2.g.a.14.2
Level $43$
Weight $2$
Character 43.14
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 14.2
Character \(\chi\) \(=\) 43.14
Dual form 43.2.g.a.40.2

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{10}{21}\right)\)

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 −0.747834 0.663886i \(-0.768906\pi\)
0.0527802 + 0.998606i \(0.483192\pi\)
\(3\) 0.109070 + 1.45544i 0.0629716 + 0.840298i 0.935859 + 0.352375i \(0.114626\pi\)
−0.872887 + 0.487922i \(0.837755\pi\)
\(4\) −0.504856 + 0.633069i −0.252428 + 0.316534i
\(5\) 1.29085 0.398175i 0.577286 0.178069i 0.00765630 0.999971i \(-0.497563\pi\)
0.569629 + 0.821902i \(0.307087\pi\)
\(6\) −0.796166 1.37900i −0.325033 0.562974i
\(7\) −0.108163 + 0.187343i −0.0408816 + 0.0708091i −0.885742 0.464177i \(-0.846350\pi\)
0.844861 + 0.534987i \(0.179683\pi\)
\(8\) 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 −0.892380 0.451285i \(-0.850966\pi\)
−0.241397 0.970426i \(-0.577606\pi\)
\(12\) −0.976457 0.665737i −0.281879 0.192182i
\(13\) 2.10767 + 1.95563i 0.584562 + 0.542395i 0.916050 0.401065i \(-0.131360\pi\)
−0.331487 + 0.943460i \(0.607550\pi\)
\(14\) 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 0.327331 0.944910i \(-0.393851\pi\)
−0.261833 + 0.965113i \(0.584327\pi\)
\(18\) −0.784062 + 0.534564i −0.184805 + 0.125998i
\(19\) 1.12457 + 0.169502i 0.257994 + 0.0388863i 0.276766 0.960937i \(-0.410737\pi\)
−0.0187716 + 0.999824i \(0.505976\pi\)
\(20\) −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 0.698426 + 0.715682i \(0.253884\pi\)
−0.998770 + 0.0495821i \(0.984211\pi\)
\(24\) 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 −0.717463 0.696596i \(-0.754697\pi\)
0.813272 0.581883i \(-0.197684\pi\)
\(30\) −1.57681 1.46307i −0.287885 0.267119i
\(31\) −8.17225 5.57174i −1.46778 1.00071i −0.992679 0.120783i \(-0.961459\pi\)
−0.475100 0.879932i \(-0.657588\pi\)
\(32\) 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 −0.989486 0.144630i \(-0.953801\pi\)
0.369489 0.929235i \(-0.379533\pi\)
\(38\) −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 −0.758464 0.651715i \(-0.774050\pi\)
0.0366371 + 0.999329i \(0.488335\pi\)
\(42\) 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 −0.760365 0.649496i \(-0.774980\pi\)
0.802409 + 0.596775i \(0.203551\pi\)
\(48\) −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 −0.977661 0.210187i \(-0.932593\pi\)
0.136539 + 0.990635i \(0.456402\pi\)
\(54\) −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 0.939143 + 0.343527i \(0.111622\pi\)
−0.697088 + 0.716986i \(0.745521\pi\)
\(60\) −1.52554 0.470567i −0.196946 0.0607499i
\(61\) 11.0987 7.56700i 1.42105 0.968855i 0.423019 0.906121i \(-0.360971\pi\)
0.998030 0.0627337i \(-0.0199819\pi\)
\(62\) 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 0.517736 0.855541i \(-0.326775\pi\)
0.242559 + 0.970137i \(0.422013\pi\)
\(68\) −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 0.895220 0.445625i \(-0.147018\pi\)
−0.959344 + 0.282238i \(0.908923\pi\)
\(72\) 0.199253 2.65884i 0.0234822 0.313348i
\(73\) 0.601198 + 0.557830i 0.0703649 + 0.0652891i 0.714571 0.699563i \(-0.246622\pi\)
−0.644206 + 0.764852i \(0.722812\pi\)
\(74\) 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 −0.985589 0.169158i \(-0.945895\pi\)
0.639290 + 0.768966i \(0.279228\pi\)
\(80\) 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 −0.945473 0.325702i \(-0.894399\pi\)
0.886369 0.462979i \(-0.153220\pi\)
\(84\) 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 0.986839 + 0.161707i \(0.0516999\pi\)
−0.951716 + 0.306981i \(0.900681\pi\)
\(90\) −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 0.619979 0.784618i \(-0.287141\pi\)
−0.902905 + 0.429841i \(0.858570\pi\)
\(98\) −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 0.866052 0.499954i \(-0.166650\pi\)
−0.974916 + 0.222572i \(0.928555\pi\)
\(102\) −0.100136 0.438725i −0.00991496 0.0434403i
\(103\) 8.07350 + 2.49034i 0.795505 + 0.245381i 0.665760 0.746166i \(-0.268108\pi\)
0.129746 + 0.991547i \(0.458584\pi\)
\(104\) 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 0.140593 0.990067i \(-0.455099\pi\)
−0.686407 + 0.727217i \(0.740813\pi\)
\(108\) −4.12047 1.98431i −0.396492 0.190941i
\(109\) 0.0776988 0.197973i 0.00744219 0.0189624i −0.927104 0.374803i \(-0.877710\pi\)
0.934547 + 0.355841i \(0.115805\pi\)
\(110\) 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 0.948161 + 0.317789i \(0.102940\pi\)
−0.716380 + 0.697710i \(0.754202\pi\)
\(114\) −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 −0.719339 0.694659i \(-0.755555\pi\)
0.0946062 + 0.995515i \(0.469841\pi\)
\(128\) 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 0.437753 0.899095i \(-0.355774\pi\)
0.975876 + 0.218327i \(0.0700601\pi\)
\(132\) 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 0.785072 + 0.619404i \(0.212626\pi\)
−0.976075 + 0.217434i \(0.930231\pi\)
\(138\) 6.20783 0.935681i 0.528446 0.0796504i
\(139\) 9.10473 8.44795i 0.772253 0.716546i −0.192039 0.981387i \(-0.561510\pi\)
0.964292 + 0.264841i \(0.0853195\pi\)
\(140\) −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 −0.975465 0.220153i \(-0.929344\pi\)
0.864809 + 0.502101i \(0.167440\pi\)
\(150\) 4.55522 + 2.19368i 0.371932 + 0.179113i
\(151\) 10.3773 + 4.99744i 0.844492 + 0.406686i 0.805530 0.592555i \(-0.201881\pi\)
0.0389621 + 0.999241i \(0.487595\pi\)
\(152\) 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 −0.830490 0.557033i \(-0.811940\pi\)
0.229914 0.973211i \(-0.426156\pi\)
\(158\) 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 −0.411274 0.911512i \(-0.634916\pi\)
−0.124329 + 0.992241i \(0.539678\pi\)
\(164\) 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 −0.160510 0.987034i \(-0.551314\pi\)
0.423396 + 0.905945i \(0.360838\pi\)
\(168\) −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 −0.752301 0.658819i \(-0.771056\pi\)
0.946705 + 0.322103i \(0.104390\pi\)
\(180\) −0.211710 + 0.927563i −0.0157800 + 0.0691365i
\(181\) 2.74306 0.413450i 0.203890 0.0307315i −0.0463029 0.998927i \(-0.514744\pi\)
0.250193 + 0.968196i \(0.419506\pi\)
\(182\) 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 0.271496 0.962440i \(-0.412482\pi\)
−0.0242502 + 0.999706i \(0.507720\pi\)
\(192\) 4.31130 10.9850i 0.311142 0.792776i
\(193\) 16.4497 + 7.92174i 1.18407 + 0.570219i 0.919095 0.394035i \(-0.128921\pi\)
0.264977 + 0.964255i \(0.414636\pi\)
\(194\) 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 −0.225337 0.974281i \(-0.572348\pi\)
0.824607 + 0.565705i \(0.191396\pi\)
\(198\) 5.46894 + 1.68694i 0.388661 + 0.119886i
\(199\) −2.04642 8.96595i −0.145067 0.635579i −0.994214 0.107422i \(-0.965740\pi\)
0.849147 0.528157i \(-0.177117\pi\)
\(200\) 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 0.181080 + 0.983468i \(0.442041\pi\)
−0.999105 + 0.0423025i \(0.986531\pi\)
\(212\) −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 −0.891003 0.453997i \(-0.849998\pi\)
0.999748 0.0224455i \(-0.00714523\pi\)
\(224\) −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 0.910311 0.413925i \(-0.135842\pi\)
−0.0527382 + 0.998608i \(0.516795\pi\)
\(228\) −0.985251 0.914179i −0.0652498 0.0605430i
\(229\) −0.0803517 + 1.07222i −0.00530979 + 0.0708542i −0.999229 0.0392558i \(-0.987501\pi\)
0.993919 + 0.110110i \(0.0351203\pi\)
\(230\) −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 −0.598860 0.800853i \(-0.704380\pi\)
0.526705 + 0.850048i \(0.323427\pi\)
\(234\) −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 −0.345134 0.938553i \(-0.612167\pi\)
−0.606444 + 0.795126i \(0.707405\pi\)
\(240\) −2.80989 + 1.91575i −0.181378 + 0.123661i
\(241\) 22.8421 + 7.04584i 1.47139 + 0.453862i 0.923796 0.382885i \(-0.125069\pi\)
0.547590 + 0.836747i \(0.315545\pi\)
\(242\) −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 −0.335466 0.942052i \(-0.608894\pi\)
0.983574 0.180504i \(-0.0577729\pi\)
\(252\) −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 −0.107964 0.994155i \(-0.534433\pi\)
0.470823 + 0.882227i \(0.343957\pi\)
\(264\) −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 0.980533 0.196355i \(-0.0629106\pi\)
−0.409621 + 0.912256i \(0.634339\pi\)
\(270\) −6.87765 4.68910i −0.418560 0.285370i
\(271\) −2.26842 2.10479i −0.137797 0.127857i 0.608263 0.793735i \(-0.291866\pi\)
−0.746060 + 0.665878i \(0.768057\pi\)
\(272\) −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 −0.316172 0.948702i \(-0.602398\pi\)
−0.581760 + 0.813360i \(0.697636\pi\)
\(278\) −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 −0.756139 0.654411i \(-0.772917\pi\)
0.999402 + 0.0345883i \(0.0110120\pi\)
\(282\) −0.727911 0.109715i −0.0433465 0.00653343i
\(283\) −13.2949 + 9.06431i −0.790300 + 0.538818i −0.889871 0.456213i \(-0.849206\pi\)
0.0995704 + 0.995031i \(0.468253\pi\)
\(284\) 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 −0.785219 0.619218i \(-0.787450\pi\)
0.976127 0.217203i \(-0.0696933\pi\)
\(294\) 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 0.865620 0.500701i \(-0.166924\pi\)
−0.866430 + 0.499299i \(0.833591\pi\)
\(308\) −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 −0.437047 0.899439i \(-0.643976\pi\)
0.864263 + 0.503040i \(0.167785\pi\)
\(312\) 8.02037 + 10.0572i 0.454064 + 0.569378i
\(313\) 14.8130 + 10.0994i 0.837283 + 0.570850i 0.904298 0.426902i \(-0.140395\pi\)
−0.0670152 + 0.997752i \(0.521348\pi\)
\(314\) 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 0.908147 + 0.418652i \(0.137497\pi\)
−0.636566 + 0.771222i \(0.719646\pi\)
\(318\) 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 0.367166 0.930155i \(-0.380328\pi\)
−0.900116 + 0.435650i \(0.856518\pi\)
\(332\) 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 −0.708537 0.705673i \(-0.750645\pi\)
0.965400 + 0.260775i \(0.0839780\pi\)
\(338\) 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 −0.915661 0.401952i \(-0.868332\pi\)
0.845526 0.533935i \(-0.179287\pi\)
\(348\) −5.08728 + 6.37925i −0.272707 + 0.341964i
\(349\) 8.91802 2.75084i 0.477370 0.147249i −0.0467268 0.998908i \(-0.514879\pi\)
0.524097 + 0.851658i \(0.324403\pi\)
\(350\) 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 −0.416593 0.909093i \(-0.636776\pi\)
−0.130125 + 0.991498i \(0.541538\pi\)
\(354\) 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 0.996402 0.0847587i \(-0.0270119\pi\)
−0.788065 + 0.615593i \(0.788917\pi\)
\(360\) −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 −0.618377 0.785881i \(-0.712210\pi\)
0.987838 0.155488i \(-0.0496951\pi\)
\(368\) −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 −0.389841 0.920882i \(-0.627470\pi\)
0.522737 0.852494i \(-0.324911\pi\)
\(374\) 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 −0.987533 0.157414i \(-0.949684\pi\)
0.958036 + 0.286649i \(0.0925414\pi\)
\(380\) −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 −0.499822 0.866128i \(-0.666601\pi\)
0.955633 + 0.294559i \(0.0951727\pi\)
\(384\) 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 −0.0370254 0.999314i \(-0.511788\pi\)
0.758210 + 0.652010i \(0.226074\pi\)
\(390\) −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 0.0708372 0.997488i \(-0.477433\pi\)
0.999992 + 0.00390325i \(0.00124245\pi\)
\(398\) 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 −0.904670 0.426112i \(-0.859883\pi\)
0.958075 0.286519i \(-0.0924980\pi\)
\(402\) −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 −0.392754 0.919644i \(-0.628478\pi\)
−0.963884 + 0.266321i \(0.914192\pi\)
\(410\) 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 0.928858 + 0.370437i \(0.120792\pi\)
0.154459 + 0.987999i \(0.450637\pi\)
\(420\) 0.253164 0.234902i 0.0123531 0.0114620i
\(421\) −16.3130 + 2.45879i −0.795047 + 0.119834i −0.533992 0.845490i \(-0.679309\pi\)
−0.261056 + 0.965324i \(0.584071\pi\)
\(422\) 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 0.938194 + 0.346110i \(0.112497\pi\)
−0.876130 + 0.482074i \(0.839884\pi\)
\(434\) −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 −0.569745 0.821821i \(-0.692958\pi\)
−0.302197 + 0.953245i \(0.597720\pi\)
\(440\) −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 0.820413 0.571771i \(-0.193744\pi\)
−0.508863 + 0.860848i \(0.669934\pi\)
\(444\) −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 0.603900 0.797060i \(-0.293613\pi\)
0.342132 + 0.939652i \(0.388851\pi\)
\(450\) 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 0.999549 + 0.0300423i \(0.00956421\pi\)
−0.887527 + 0.460755i \(0.847579\pi\)
\(458\) −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 0.388243 0.921557i \(-0.373082\pi\)
−0.716012 + 0.698088i \(0.754034\pi\)
\(462\) −1.29528 1.62423i −0.0602620 0.0755662i
\(463\) 1.66719 1.54693i 0.0774811 0.0718919i −0.640482 0.767973i \(-0.721265\pi\)
0.717963 + 0.696082i \(0.245075\pi\)
\(464\) 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 0.968490 + 0.249052i \(0.0801189\pi\)
−0.268560 + 0.963263i \(0.586548\pi\)
\(468\) −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 0.668180 0.744000i \(-0.267074\pi\)
−0.978413 + 0.206661i \(0.933740\pi\)
\(480\) −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 0.471605 + 0.881810i \(0.343675\pi\)
−0.597765 + 0.801672i \(0.703944\pi\)
\(488\) −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 −0.116394 0.993203i \(-0.537134\pi\)
0.882023 + 0.471206i \(0.156181\pi\)
\(492\) 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 0.440235 0.897882i \(-0.354895\pi\)
−0.142056 + 0.989859i \(0.545371\pi\)
\(500\) −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 0.439057 0.898459i \(-0.355313\pi\)
−0.863136 + 0.504971i \(0.831503\pi\)
\(504\) 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 0.319898 + 0.947452i \(0.396351\pi\)
−0.980467 + 0.196686i \(0.936982\pi\)
\(510\) −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 −0.867892 0.496752i \(-0.834526\pi\)
−0.437256 + 0.899337i \(0.644050\pi\)
\(522\) 3.27585 + 5.67393i 0.143380 + 0.248341i
\(523\) −6.95091 + 12.0393i −0.303942 + 0.526443i −0.977025 0.213124i \(-0.931636\pi\)
0.673083 + 0.739567i \(0.264970\pi\)
\(524\) −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 −0.872580 0.488472i \(-0.837555\pi\)
0.135916 + 0.990720i \(0.456602\pi\)
\(542\) 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 0.868098 0.496394i \(-0.165343\pi\)
−0.144928 + 0.989442i \(0.546295\pi\)
\(548\) −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 −0.0783489 0.996926i \(-0.524965\pi\)
0.730578 + 0.682829i \(0.239251\pi\)
\(558\) 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 −0.907487 0.420080i \(-0.862002\pi\)
0.611483 + 0.791258i \(0.290573\pi\)
\(564\) −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 −0.546977 0.837148i \(-0.684221\pi\)
0.793931 + 0.608007i \(0.208031\pi\)
\(570\) −1.52524 1.91259i −0.0638854 0.0801098i
\(571\) −24.0538 16.3996i −1.00662 0.686302i −0.0565700 0.998399i \(-0.518016\pi\)
−0.950050 + 0.312096i \(0.898969\pi\)
\(572\) 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 −0.680565 0.732687i \(-0.738266\pi\)
0.433401 + 0.901201i \(0.357313\pi\)
\(578\) 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 −0.959378 0.282123i \(-0.908961\pi\)
0.511381 0.859354i \(-0.329134\pi\)
\(588\) 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 −0.765726 0.643167i \(-0.777620\pi\)
−0.542130 + 0.840295i \(0.682382\pi\)
\(594\) −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 −0.970983 0.239150i \(-0.923131\pi\)
0.924494 0.381196i \(-0.124488\pi\)
\(600\) −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 −0.470660 0.882315i \(-0.655984\pi\)
0.108148 + 0.994135i \(0.465508\pi\)
\(608\) 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 0.999998 0.00175653i \(-0.000559122\pi\)
−0.224233 + 0.974536i \(0.571988\pi\)
\(614\) 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 0.899845 0.436210i \(-0.143680\pi\)
−0.956331 + 0.292285i \(0.905584\pi\)
\(618\) −2.99366 13.1161i −0.120423 0.527606i
\(619\) 32.6404 + 10.0682i 1.31193 + 0.404676i 0.870300 0.492521i \(-0.163925\pi\)
0.441629 + 0.897198i \(0.354401\pi\)
\(620\) 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 0.966627 + 0.256187i \(0.0824663\pi\)
−0.994013 + 0.109257i \(0.965153\pi\)
\(632\) 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 −0.738424 0.674336i \(-0.764430\pi\)
0.821744 + 0.569857i \(0.193001\pi\)
\(642\) 0.745686 + 9.95049i 0.0294299 + 0.392714i
\(643\) −10.1874 + 4.90598i −0.401751 + 0.193473i −0.623838 0.781554i \(-0.714427\pi\)
0.222087 + 0.975027i \(0.428713\pi\)
\(644\) 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 0.0146350 0.999893i \(-0.495341\pi\)
0.790873 + 0.611981i \(0.209627\pi\)
\(648\) 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 0.729081 + 0.684428i \(0.239948\pi\)
−0.953841 + 0.300312i \(0.902909\pi\)
\(654\) −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 −0.962519 0.271214i \(-0.912575\pi\)
0.992191 0.124729i \(-0.0398060\pi\)
\(660\) 3.51765 + 8.96283i 0.136924 + 0.348878i
\(661\) 2.96298 + 12.9817i 0.115247 + 0.504928i 0.999295 + 0.0375336i \(0.0119501\pi\)
−0.884049 + 0.467395i \(0.845193\pi\)
\(662\) 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 0.879491 0.475915i \(-0.157883\pi\)
−0.968417 + 0.249336i \(0.919788\pi\)
\(674\) −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 0.364666 0.931139i \(-0.381183\pi\)
−0.988939 + 0.148325i \(0.952612\pi\)
\(678\) 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 −0.999123 0.0418665i \(-0.986670\pi\)
−0.801930 + 0.597418i \(0.796193\pi\)
\(684\) −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 −0.413311 0.910590i \(-0.635628\pi\)
0.272978 0.962020i \(-0.411991\pi\)
\(692\) 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 0.884207 0.467095i \(-0.154699\pi\)
−0.399712 + 0.916641i \(0.630890\pi\)
\(702\) 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 −0.192025 0.981390i \(-0.561505\pi\)
−0.887007 + 0.461756i \(0.847220\pi\)
\(710\) 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 0.999393 0.0348509i \(-0.0110956\pi\)
0.332677 + 0.943041i \(0.392048\pi\)
\(720\) 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 −0.827919 0.560848i \(-0.810475\pi\)
0.731015 + 0.682361i \(0.239047\pi\)
\(728\) 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 −0.637773 + 0.770224i \(0.720144\pi\)
−0.999831 + 0.0184045i \(0.994141\pi\)
\(734\) 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 −0.963624 0.267261i \(-0.913882\pi\)
0.984156 + 0.177307i \(0.0567387\pi\)
\(740\) 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 0.802416 0.596765i \(-0.203547\pi\)
−0.262357 + 0.964971i \(0.584500\pi\)
\(744\) −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 −0.400684 0.916216i \(-0.631228\pi\)
0.916908 0.399099i \(-0.130677\pi\)
\(752\) 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 0.780846 0.624724i \(-0.214788\pi\)
0.293246 + 0.956037i \(0.405265\pi\)
\(758\) −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 0.997551 + 0.0699487i \(0.0222836\pi\)
0.144300 + 0.989534i \(0.453907\pi\)
\(762\) 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 −0.0897448 0.995965i \(-0.528605\pi\)
0.486896 + 0.873460i \(0.338129\pi\)
\(770\) −1.19886 + 1.50332i −0.0432038 + 0.0541758i
\(771\) −2.49103 33.2404i −0.0897121 1.19712i