Properties

Label 576.2.bm.a.13.34
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 13.34
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.34

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.643330 + 1.25942i) q^{2} +(0.195670 + 1.72096i) q^{3} +(-1.17225 - 1.62044i) q^{4} +(-0.672871 + 1.98222i) q^{5} +(-2.29329 - 0.860717i) q^{6} +(-1.53022 + 1.99422i) q^{7} +(2.79495 - 0.433875i) q^{8} +(-2.92343 + 0.673482i) q^{9} +O(q^{10})\) \(q+(-0.643330 + 1.25942i) q^{2} +(0.195670 + 1.72096i) q^{3} +(-1.17225 - 1.62044i) q^{4} +(-0.672871 + 1.98222i) q^{5} +(-2.29329 - 0.860717i) q^{6} +(-1.53022 + 1.99422i) q^{7} +(2.79495 - 0.433875i) q^{8} +(-2.92343 + 0.673482i) q^{9} +(-2.06355 - 2.12264i) q^{10} +(2.43065 + 0.159313i) q^{11} +(2.55934 - 2.33447i) q^{12} +(-2.28978 + 2.61100i) q^{13} +(-1.52712 - 3.21012i) q^{14} +(-3.54298 - 0.770126i) q^{15} +(-1.25165 + 3.79913i) q^{16} +(-1.22795 - 1.22795i) q^{17} +(1.03254 - 4.11508i) q^{18} +(0.214484 - 1.07828i) q^{19} +(4.00083 - 1.23331i) q^{20} +(-3.73140 - 2.24324i) q^{21} +(-1.76435 + 2.95871i) q^{22} +(-0.0185695 + 0.0142488i) q^{23} +(1.29357 + 4.72511i) q^{24} +(0.490345 + 0.376255i) q^{25} +(-1.81524 - 4.56352i) q^{26} +(-1.73106 - 4.89933i) q^{27} +(5.02532 + 0.141897i) q^{28} +(3.20135 - 6.49169i) q^{29} +(3.24921 - 3.96664i) q^{30} +(-7.56639 - 4.36846i) q^{31} +(-3.97946 - 4.02044i) q^{32} +(0.201433 + 4.21423i) q^{33} +(2.33648 - 0.756524i) q^{34} +(-2.92333 - 4.37508i) q^{35} +(4.51833 + 3.94774i) q^{36} +(1.63587 + 8.22409i) q^{37} +(1.22002 + 0.963815i) q^{38} +(-4.94147 - 3.42974i) q^{39} +(-1.02061 + 5.83214i) q^{40} +(0.841492 - 0.645699i) q^{41} +(5.22569 - 3.25624i) q^{42} +(-0.0881905 + 1.34553i) q^{43} +(-2.59118 - 4.12548i) q^{44} +(0.632104 - 6.24803i) q^{45} +(-0.00599892 - 0.0325534i) q^{46} +(-0.434511 + 1.62162i) q^{47} +(-6.78307 - 1.41066i) q^{48} +(0.176387 + 0.658286i) q^{49} +(-0.789315 + 0.375492i) q^{50} +(1.87299 - 2.35354i) q^{51} +(6.91517 + 0.649707i) q^{52} +(-1.30530 + 1.95351i) q^{53} +(7.28393 + 0.971757i) q^{54} +(-1.95131 + 4.71088i) q^{55} +(-3.41165 + 6.23768i) q^{56} +(1.89765 + 0.158131i) q^{57} +(6.11621 + 8.20812i) q^{58} +(1.32894 - 3.91494i) q^{59} +(2.90532 + 6.64397i) q^{60} +(2.46082 + 1.21354i) q^{61} +(10.3694 - 6.71887i) q^{62} +(3.13041 - 6.86053i) q^{63} +(7.62350 - 2.42532i) q^{64} +(-3.63483 - 6.29571i) q^{65} +(-5.43706 - 2.45745i) q^{66} +(-1.00883 - 15.3917i) q^{67} +(-0.550353 + 3.42930i) q^{68} +(-0.0281552 - 0.0291693i) q^{69} +(7.39071 - 0.867071i) q^{70} +(3.18754 + 7.69540i) q^{71} +(-7.87863 + 3.15075i) q^{72} +(-5.78025 + 13.9548i) q^{73} +(-11.4099 - 3.23056i) q^{74} +(-0.551575 + 0.917488i) q^{75} +(-1.99872 + 0.916461i) q^{76} +(-4.03714 + 4.60347i) q^{77} +(7.49846 - 4.01691i) q^{78} +(-9.04272 - 2.42299i) q^{79} +(-6.68849 - 5.03736i) q^{80} +(8.09284 - 3.93775i) q^{81} +(0.271846 + 1.47519i) q^{82} +(-8.05386 + 2.73392i) q^{83} +(0.739105 + 8.67615i) q^{84} +(3.26032 - 1.60781i) q^{85} +(-1.63784 - 0.976686i) q^{86} +(11.7984 + 4.23917i) q^{87} +(6.86267 - 0.609326i) q^{88} +(11.5711 - 4.79291i) q^{89} +(7.46221 + 4.81563i) q^{90} +(-1.70304 - 8.56174i) q^{91} +(0.0448575 + 0.0133874i) q^{92} +(6.03744 - 13.8763i) q^{93} +(-1.76276 - 1.59047i) q^{94} +(1.99307 + 1.15070i) q^{95} +(6.14036 - 7.63518i) q^{96} +(-1.38936 + 0.802147i) q^{97} +(-0.942531 - 0.201351i) q^{98} +(-7.21312 + 1.17126i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.643330 + 1.25942i −0.454903 + 0.890541i
\(3\) 0.195670 + 1.72096i 0.112970 + 0.993598i
\(4\) −1.17225 1.62044i −0.586126 0.810220i
\(5\) −0.672871 + 1.98222i −0.300917 + 0.886474i 0.686332 + 0.727289i \(0.259220\pi\)
−0.987249 + 0.159185i \(0.949113\pi\)
\(6\) −2.29329 0.860717i −0.936231 0.351386i
\(7\) −1.53022 + 1.99422i −0.578369 + 0.753745i −0.987308 0.158817i \(-0.949232\pi\)
0.408939 + 0.912562i \(0.365899\pi\)
\(8\) 2.79495 0.433875i 0.988164 0.153398i
\(9\) −2.92343 + 0.673482i −0.974475 + 0.224494i
\(10\) −2.06355 2.12264i −0.652553 0.671239i
\(11\) 2.43065 + 0.159313i 0.732869 + 0.0480348i 0.427268 0.904125i \(-0.359476\pi\)
0.305601 + 0.952160i \(0.401143\pi\)
\(12\) 2.55934 2.33447i 0.738818 0.673905i
\(13\) −2.28978 + 2.61100i −0.635072 + 0.724161i −0.976445 0.215767i \(-0.930775\pi\)
0.341373 + 0.939928i \(0.389108\pi\)
\(14\) −1.52712 3.21012i −0.408139 0.857942i
\(15\) −3.54298 0.770126i −0.914793 0.198846i
\(16\) −1.25165 + 3.79913i −0.312912 + 0.949782i
\(17\) −1.22795 1.22795i −0.297823 0.297823i 0.542338 0.840160i \(-0.317539\pi\)
−0.840160 + 0.542338i \(0.817539\pi\)
\(18\) 1.03254 4.11508i 0.243371 0.969933i
\(19\) 0.214484 1.07828i 0.0492059 0.247375i −0.948352 0.317220i \(-0.897251\pi\)
0.997558 + 0.0698453i \(0.0222506\pi\)
\(20\) 4.00083 1.23331i 0.894614 0.275776i
\(21\) −3.73140 2.24324i −0.814258 0.489516i
\(22\) −1.76435 + 2.95871i −0.376161 + 0.630798i
\(23\) −0.0185695 + 0.0142488i −0.00387200 + 0.00297109i −0.610696 0.791865i \(-0.709110\pi\)
0.606824 + 0.794837i \(0.292443\pi\)
\(24\) 1.29357 + 4.72511i 0.264049 + 0.964509i
\(25\) 0.490345 + 0.376255i 0.0980691 + 0.0752510i
\(26\) −1.81524 4.56352i −0.355999 0.894980i
\(27\) −1.73106 4.89933i −0.333144 0.942876i
\(28\) 5.02532 + 0.141897i 0.949696 + 0.0268161i
\(29\) 3.20135 6.49169i 0.594475 1.20548i −0.366906 0.930258i \(-0.619583\pi\)
0.961382 0.275219i \(-0.0887502\pi\)
\(30\) 3.24921 3.96664i 0.593223 0.724205i
\(31\) −7.56639 4.36846i −1.35896 0.784599i −0.369480 0.929239i \(-0.620464\pi\)
−0.989484 + 0.144640i \(0.953798\pi\)
\(32\) −3.97946 4.02044i −0.703475 0.710720i
\(33\) 0.201433 + 4.21423i 0.0350651 + 0.733604i
\(34\) 2.33648 0.756524i 0.400704 0.129743i
\(35\) −2.92333 4.37508i −0.494134 0.739523i
\(36\) 4.51833 + 3.94774i 0.753055 + 0.657957i
\(37\) 1.63587 + 8.22409i 0.268936 + 1.35203i 0.845061 + 0.534670i \(0.179564\pi\)
−0.576125 + 0.817361i \(0.695436\pi\)
\(38\) 1.22002 + 0.963815i 0.197913 + 0.156351i
\(39\) −4.94147 3.42974i −0.791269 0.549198i
\(40\) −1.02061 + 5.83214i −0.161372 + 0.922142i
\(41\) 0.841492 0.645699i 0.131419 0.100841i −0.540960 0.841048i \(-0.681939\pi\)
0.672379 + 0.740207i \(0.265272\pi\)
\(42\) 5.22569 3.25624i 0.806342 0.502448i
\(43\) −0.0881905 + 1.34553i −0.0134489 + 0.205191i 0.985846 + 0.167652i \(0.0536185\pi\)
−0.999295 + 0.0375389i \(0.988048\pi\)
\(44\) −2.59118 4.12548i −0.390635 0.621939i
\(45\) 0.632104 6.24803i 0.0942285 0.931401i
\(46\) −0.00599892 0.0325534i −0.000884492 0.00479973i
\(47\) −0.434511 + 1.62162i −0.0633800 + 0.236537i −0.990348 0.138603i \(-0.955739\pi\)
0.926968 + 0.375140i \(0.122405\pi\)
\(48\) −6.78307 1.41066i −0.979052 0.203612i
\(49\) 0.176387 + 0.658286i 0.0251982 + 0.0940409i
\(50\) −0.789315 + 0.375492i −0.111626 + 0.0531026i
\(51\) 1.87299 2.35354i 0.262271 0.329561i
\(52\) 6.91517 + 0.649707i 0.958961 + 0.0900981i
\(53\) −1.30530 + 1.95351i −0.179296 + 0.268336i −0.910222 0.414122i \(-0.864089\pi\)
0.730925 + 0.682457i \(0.239089\pi\)
\(54\) 7.28393 + 0.971757i 0.991218 + 0.132239i
\(55\) −1.95131 + 4.71088i −0.263114 + 0.635214i
\(56\) −3.41165 + 6.23768i −0.455900 + 0.833544i
\(57\) 1.89765 + 0.158131i 0.251350 + 0.0209449i
\(58\) 6.11621 + 8.20812i 0.803098 + 1.07778i
\(59\) 1.32894 3.91494i 0.173014 0.509682i −0.825487 0.564421i \(-0.809099\pi\)
0.998501 + 0.0547393i \(0.0174328\pi\)
\(60\) 2.90532 + 6.64397i 0.375076 + 0.857732i
\(61\) 2.46082 + 1.21354i 0.315076 + 0.155378i 0.592950 0.805239i \(-0.297963\pi\)
−0.277874 + 0.960617i \(0.589630\pi\)
\(62\) 10.3694 6.71887i 1.31691 0.853297i
\(63\) 3.13041 6.86053i 0.394395 0.864346i
\(64\) 7.62350 2.42532i 0.952938 0.303165i
\(65\) −3.63483 6.29571i −0.450845 0.780887i
\(66\) −5.43706 2.45745i −0.669255 0.302492i
\(67\) −1.00883 15.3917i −0.123248 1.88040i −0.395911 0.918289i \(-0.629571\pi\)
0.272663 0.962109i \(-0.412095\pi\)
\(68\) −0.550353 + 3.42930i −0.0667401 + 0.415863i
\(69\) −0.0281552 0.0291693i −0.00338949 0.00351157i
\(70\) 7.39071 0.867071i 0.883359 0.103635i
\(71\) 3.18754 + 7.69540i 0.378291 + 0.913275i 0.992286 + 0.123966i \(0.0395613\pi\)
−0.613995 + 0.789310i \(0.710439\pi\)
\(72\) −7.87863 + 3.15075i −0.928505 + 0.371320i
\(73\) −5.78025 + 13.9548i −0.676527 + 1.63328i 0.0937684 + 0.995594i \(0.470109\pi\)
−0.770296 + 0.637687i \(0.779891\pi\)
\(74\) −11.4099 3.23056i −1.32638 0.375545i
\(75\) −0.551575 + 0.917488i −0.0636904 + 0.105942i
\(76\) −1.99872 + 0.916461i −0.229269 + 0.105125i
\(77\) −4.03714 + 4.60347i −0.460074 + 0.524614i
\(78\) 7.49846 4.01691i 0.849034 0.454826i
\(79\) −9.04272 2.42299i −1.01739 0.272608i −0.288673 0.957428i \(-0.593214\pi\)
−0.728712 + 0.684820i \(0.759881\pi\)
\(80\) −6.68849 5.03736i −0.747796 0.563194i
\(81\) 8.09284 3.93775i 0.899205 0.437528i
\(82\) 0.271846 + 1.47519i 0.0300204 + 0.162907i
\(83\) −8.05386 + 2.73392i −0.884026 + 0.300086i −0.726285 0.687394i \(-0.758755\pi\)
−0.157741 + 0.987480i \(0.550421\pi\)
\(84\) 0.739105 + 8.67615i 0.0806429 + 0.946646i
\(85\) 3.26032 1.60781i 0.353632 0.174392i
\(86\) −1.63784 0.976686i −0.176613 0.105319i
\(87\) 11.7984 + 4.23917i 1.26492 + 0.454487i
\(88\) 6.86267 0.609326i 0.731563 0.0649544i
\(89\) 11.5711 4.79291i 1.22654 0.508048i 0.327054 0.945006i \(-0.393944\pi\)
0.899482 + 0.436958i \(0.143944\pi\)
\(90\) 7.46221 + 4.81563i 0.786586 + 0.507611i
\(91\) −1.70304 8.56174i −0.178527 0.897514i
\(92\) 0.0448575 + 0.0133874i 0.00467672 + 0.00139574i
\(93\) 6.03744 13.8763i 0.626053 1.43890i
\(94\) −1.76276 1.59047i −0.181814 0.164044i
\(95\) 1.99307 + 1.15070i 0.204484 + 0.118059i
\(96\) 6.14036 7.63518i 0.626698 0.779262i
\(97\) −1.38936 + 0.802147i −0.141068 + 0.0814457i −0.568873 0.822425i \(-0.692620\pi\)
0.427805 + 0.903871i \(0.359287\pi\)
\(98\) −0.942531 0.201351i −0.0952100 0.0203395i
\(99\) −7.21312 + 1.17126i −0.724946 + 0.117716i
\(100\) 0.0348901 1.23564i 0.00348901 0.123564i
\(101\) −2.18718 + 1.91810i −0.217632 + 0.190858i −0.761219 0.648494i \(-0.775399\pi\)
0.543587 + 0.839353i \(0.317066\pi\)
\(102\) 1.75913 + 3.87297i 0.174180 + 0.383481i
\(103\) −2.23801 + 16.9994i −0.220517 + 1.67500i 0.420364 + 0.907356i \(0.361903\pi\)
−0.640881 + 0.767640i \(0.721431\pi\)
\(104\) −5.26699 + 8.29109i −0.516471 + 0.813009i
\(105\) 6.95734 5.88702i 0.678967 0.574515i
\(106\) −1.62055 2.90066i −0.157402 0.281737i
\(107\) 1.41931 + 0.948351i 0.137210 + 0.0916806i 0.622281 0.782794i \(-0.286206\pi\)
−0.485071 + 0.874475i \(0.661206\pi\)
\(108\) −5.90982 + 8.54834i −0.568673 + 0.822564i
\(109\) −2.95352 + 14.8483i −0.282896 + 1.42221i 0.534028 + 0.845467i \(0.320678\pi\)
−0.816924 + 0.576746i \(0.804322\pi\)
\(110\) −4.67761 5.48816i −0.445993 0.523275i
\(111\) −13.8333 + 4.42448i −1.31299 + 0.419953i
\(112\) −5.66101 8.30956i −0.534915 0.785180i
\(113\) 4.89168 + 18.2560i 0.460171 + 1.71738i 0.672425 + 0.740165i \(0.265253\pi\)
−0.212254 + 0.977214i \(0.568080\pi\)
\(114\) −1.41997 + 2.28820i −0.132992 + 0.214310i
\(115\) −0.0157494 0.0463963i −0.00146864 0.00432648i
\(116\) −14.2722 + 2.42231i −1.32514 + 0.224906i
\(117\) 4.93555 9.17519i 0.456292 0.848247i
\(118\) 4.07559 + 4.19229i 0.375188 + 0.385932i
\(119\) 4.32785 0.569772i 0.396734 0.0522310i
\(120\) −10.2366 0.615255i −0.934469 0.0561648i
\(121\) −5.02321 0.661318i −0.456656 0.0601199i
\(122\) −3.11147 + 2.31849i −0.281700 + 0.209906i
\(123\) 1.27588 + 1.32183i 0.115042 + 0.119186i
\(124\) 1.79090 + 17.3818i 0.160828 + 1.56093i
\(125\) −9.77836 + 6.53369i −0.874603 + 0.584391i
\(126\) 6.62637 + 8.35608i 0.590324 + 0.744419i
\(127\) −9.05713 −0.803690 −0.401845 0.915708i \(-0.631631\pi\)
−0.401845 + 0.915708i \(0.631631\pi\)
\(128\) −1.84995 + 11.1614i −0.163514 + 0.986541i
\(129\) −2.33286 + 0.111507i −0.205397 + 0.00981763i
\(130\) 10.2673 0.527540i 0.900503 0.0462683i
\(131\) −0.416514 6.35478i −0.0363910 0.555220i −0.976661 0.214789i \(-0.931094\pi\)
0.940270 0.340431i \(-0.110573\pi\)
\(132\) 6.59278 5.26656i 0.573828 0.458395i
\(133\) 1.82213 + 2.07774i 0.157998 + 0.180163i
\(134\) 20.0336 + 8.63143i 1.73064 + 0.745642i
\(135\) 10.8763 0.134725i 0.936083 0.0115953i
\(136\) −3.96485 2.89929i −0.339983 0.248612i
\(137\) −3.47322 + 0.457258i −0.296737 + 0.0390662i −0.277425 0.960747i \(-0.589481\pi\)
−0.0193123 + 0.999813i \(0.506148\pi\)
\(138\) 0.0548493 0.0166936i 0.00466908 0.00142106i
\(139\) −4.92362 9.98411i −0.417616 0.846841i −0.999438 0.0335251i \(-0.989327\pi\)
0.581822 0.813316i \(-0.302340\pi\)
\(140\) −3.66266 + 9.86579i −0.309552 + 0.833811i
\(141\) −2.87577 0.430476i −0.242183 0.0362526i
\(142\) −11.7423 0.936248i −0.985395 0.0785681i
\(143\) −5.98163 + 5.98163i −0.500209 + 0.500209i
\(144\) 1.10045 11.9494i 0.0917046 0.995786i
\(145\) 10.7138 + 10.7138i 0.889735 + 0.889735i
\(146\) −13.8562 16.2573i −1.14675 1.34546i
\(147\) −1.09837 + 0.432363i −0.0905923 + 0.0356607i
\(148\) 11.4090 12.2915i 0.937812 1.01036i
\(149\) −14.8823 + 7.33916i −1.21921 + 0.601248i −0.934019 0.357223i \(-0.883723\pi\)
−0.285190 + 0.958471i \(0.592057\pi\)
\(150\) −0.800653 1.28491i −0.0653731 0.104912i
\(151\) 2.54106 + 19.3013i 0.206789 + 1.57072i 0.708519 + 0.705691i \(0.249364\pi\)
−0.501731 + 0.865024i \(0.667303\pi\)
\(152\) 0.131631 3.10680i 0.0106767 0.251995i
\(153\) 4.41684 + 2.76283i 0.357080 + 0.223361i
\(154\) −3.20047 8.04598i −0.257901 0.648364i
\(155\) 13.7504 12.0588i 1.10446 0.968587i
\(156\) 0.234971 + 12.0279i 0.0188127 + 0.963001i
\(157\) 9.77215 0.640501i 0.779903 0.0511175i 0.329749 0.944069i \(-0.393036\pi\)
0.450154 + 0.892951i \(0.351369\pi\)
\(158\) 8.86900 9.82976i 0.705580 0.782013i
\(159\) −3.61733 1.86412i −0.286873 0.147834i
\(160\) 10.6470 5.18290i 0.841722 0.409744i
\(161\) 0.0588355i 0.00463689i
\(162\) −0.247109 + 12.7255i −0.0194147 + 0.999812i
\(163\) 5.72369 + 8.56610i 0.448314 + 0.670949i 0.984945 0.172868i \(-0.0553034\pi\)
−0.536631 + 0.843817i \(0.680303\pi\)
\(164\) −2.03276 0.606664i −0.158732 0.0473725i
\(165\) −8.48905 2.43635i −0.660872 0.189670i
\(166\) 1.73815 11.9020i 0.134907 0.923771i
\(167\) −1.27427 + 9.67904i −0.0986059 + 0.748986i 0.868694 + 0.495350i \(0.164960\pi\)
−0.967300 + 0.253637i \(0.918373\pi\)
\(168\) −11.4024 4.65079i −0.879712 0.358816i
\(169\) 0.122640 + 0.931541i 0.00943382 + 0.0716570i
\(170\) −0.0725597 + 5.14046i −0.00556508 + 0.394255i
\(171\) 0.0991764 + 3.29673i 0.00758421 + 0.252107i
\(172\) 2.28373 1.43439i 0.174132 0.109371i
\(173\) 17.6131 5.97883i 1.33910 0.454562i 0.442245 0.896894i \(-0.354182\pi\)
0.896851 + 0.442332i \(0.145849\pi\)
\(174\) −12.9291 + 12.1319i −0.980154 + 0.919713i
\(175\) −1.50067 + 0.402104i −0.113440 + 0.0303962i
\(176\) −3.64757 + 9.03495i −0.274946 + 0.681035i
\(177\) 6.99750 + 1.52103i 0.525964 + 0.114327i
\(178\) −1.40778 + 17.6563i −0.105518 + 1.32339i
\(179\) −11.0445 2.19689i −0.825505 0.164203i −0.235779 0.971807i \(-0.575764\pi\)
−0.589726 + 0.807604i \(0.700764\pi\)
\(180\) −10.8655 + 6.29998i −0.809869 + 0.469573i
\(181\) −5.90577 + 8.83860i −0.438972 + 0.656968i −0.983318 0.181892i \(-0.941778\pi\)
0.544346 + 0.838861i \(0.316778\pi\)
\(182\) 11.8784 + 3.36320i 0.880485 + 0.249297i
\(183\) −1.60695 + 4.47243i −0.118789 + 0.330612i
\(184\) −0.0457185 + 0.0478817i −0.00337041 + 0.00352988i
\(185\) −17.4026 2.29110i −1.27947 0.168445i
\(186\) 13.5919 + 16.5307i 0.996607 + 1.21209i
\(187\) −2.78910 3.18036i −0.203959 0.232571i
\(188\) 3.13709 1.19685i 0.228796 0.0872890i
\(189\) 12.4193 + 4.04492i 0.903368 + 0.294225i
\(190\) −2.73141 + 1.76982i −0.198157 + 0.128396i
\(191\) −2.26457 3.92236i −0.163859 0.283812i 0.772391 0.635148i \(-0.219061\pi\)
−0.936249 + 0.351336i \(0.885727\pi\)
\(192\) 5.66558 + 12.6452i 0.408878 + 0.912589i
\(193\) 6.06296 10.5014i 0.436421 0.755904i −0.560989 0.827823i \(-0.689579\pi\)
0.997410 + 0.0719191i \(0.0229123\pi\)
\(194\) −0.116419 2.26583i −0.00835842 0.162677i
\(195\) 10.1235 7.48729i 0.724956 0.536176i
\(196\) 0.859943 1.05750i 0.0614245 0.0755359i
\(197\) 21.0929 4.19564i 1.50281 0.298927i 0.626020 0.779807i \(-0.284683\pi\)
0.876786 + 0.480880i \(0.159683\pi\)
\(198\) 3.16532 9.83782i 0.224949 0.699144i
\(199\) −4.76331 11.4996i −0.337662 0.815189i −0.997939 0.0641665i \(-0.979561\pi\)
0.660277 0.751022i \(-0.270439\pi\)
\(200\) 1.53374 + 0.838866i 0.108452 + 0.0593168i
\(201\) 26.2912 4.74785i 1.85444 0.334888i
\(202\) −1.00861 3.98853i −0.0709656 0.280632i
\(203\) 8.04710 + 16.3179i 0.564796 + 1.14529i
\(204\) −6.00938 0.276126i −0.420741 0.0193327i
\(205\) 0.713699 + 2.10249i 0.0498469 + 0.146844i
\(206\) −19.9695 13.7548i −1.39134 0.958341i
\(207\) 0.0446901 0.0541616i 0.00310618 0.00376449i
\(208\) −7.05352 11.9672i −0.489073 0.829778i
\(209\) 0.693119 2.58676i 0.0479441 0.178930i
\(210\) 2.93834 + 12.5495i 0.202765 + 0.865996i
\(211\) 4.35610 + 3.82020i 0.299886 + 0.262993i 0.796043 0.605240i \(-0.206923\pi\)
−0.496157 + 0.868233i \(0.665256\pi\)
\(212\) 4.69569 0.174858i 0.322501 0.0120093i
\(213\) −12.6198 + 6.99139i −0.864693 + 0.479042i
\(214\) −2.10745 + 1.17739i −0.144062 + 0.0804850i
\(215\) −2.60778 1.08018i −0.177849 0.0736676i
\(216\) −6.96394 12.9423i −0.473836 0.880613i
\(217\) 20.2899 8.40436i 1.37737 0.570525i
\(218\) −16.8001 13.2721i −1.13785 0.898899i
\(219\) −25.1466 7.21707i −1.69925 0.487684i
\(220\) 9.92111 2.36036i 0.668881 0.159135i
\(221\) 6.01793 0.394436i 0.404810 0.0265327i
\(222\) 3.32709 20.2682i 0.223300 1.36031i
\(223\) 1.48589 0.857881i 0.0995028 0.0574480i −0.449423 0.893319i \(-0.648370\pi\)
0.548926 + 0.835871i \(0.315037\pi\)
\(224\) 14.1071 1.78377i 0.942569 0.119183i
\(225\) −1.68689 0.769716i −0.112459 0.0513144i
\(226\) −26.1388 5.58398i −1.73873 0.371441i
\(227\) 1.31134 2.65913i 0.0870365 0.176492i −0.849003 0.528389i \(-0.822796\pi\)
0.936039 + 0.351896i \(0.114463\pi\)
\(228\) −1.96829 3.26040i −0.130353 0.215925i
\(229\) −6.47943 2.19947i −0.428173 0.145345i 0.0990301 0.995084i \(-0.468426\pi\)
−0.527203 + 0.849739i \(0.676759\pi\)
\(230\) 0.0685643 + 0.0100131i 0.00452100 + 0.000660243i
\(231\) −8.71235 6.04700i −0.573231 0.397863i
\(232\) 6.13103 19.5329i 0.402522 1.28240i
\(233\) 26.1523 + 10.8326i 1.71329 + 0.709669i 0.999961 + 0.00884299i \(0.00281485\pi\)
0.713332 + 0.700826i \(0.247185\pi\)
\(234\) 8.38018 + 12.1186i 0.547830 + 0.792217i
\(235\) −2.92203 1.95244i −0.190612 0.127363i
\(236\) −7.90178 + 2.43583i −0.514362 + 0.158559i
\(237\) 2.40049 16.0363i 0.155928 1.04167i
\(238\) −2.06666 + 5.81711i −0.133961 + 0.377067i
\(239\) 25.6407 6.87041i 1.65856 0.444410i 0.696568 0.717491i \(-0.254709\pi\)
0.961991 + 0.273081i \(0.0880427\pi\)
\(240\) 7.36037 12.4963i 0.475110 0.806633i
\(241\) −8.65984 2.32040i −0.557830 0.149470i −0.0311206 0.999516i \(-0.509908\pi\)
−0.526709 + 0.850046i \(0.676574\pi\)
\(242\) 4.06446 5.90086i 0.261273 0.379322i
\(243\) 8.36025 + 13.1570i 0.536310 + 0.844021i
\(244\) −0.918232 5.41019i −0.0587837 0.346352i
\(245\) −1.42355 0.0933045i −0.0909474 0.00596101i
\(246\) −2.48555 + 0.756487i −0.158473 + 0.0482319i
\(247\) 2.32427 + 3.02905i 0.147890 + 0.192734i
\(248\) −23.0431 8.92676i −1.46324 0.566850i
\(249\) −6.28087 13.3254i −0.398034 0.844466i
\(250\) −1.93792 16.5183i −0.122565 1.04471i
\(251\) 7.80384 1.55228i 0.492574 0.0979791i 0.0574478 0.998349i \(-0.481704\pi\)
0.435126 + 0.900369i \(0.356704\pi\)
\(252\) −14.7867 + 2.96964i −0.931476 + 0.187069i
\(253\) −0.0474059 + 0.0316756i −0.00298038 + 0.00199143i
\(254\) 5.82673 11.4067i 0.365601 0.715719i
\(255\) 3.40494 + 5.29630i 0.213225 + 0.331667i
\(256\) −12.8668 9.51034i −0.804172 0.594396i
\(257\) −2.29305 + 3.97168i −0.143037 + 0.247747i −0.928639 0.370985i \(-0.879020\pi\)
0.785602 + 0.618732i \(0.212353\pi\)
\(258\) 1.36036 3.00977i 0.0846926 0.187380i
\(259\) −18.9039 9.32237i −1.17463 0.579264i
\(260\) −5.94088 + 13.2702i −0.368438 + 0.822982i
\(261\) −4.98687 + 21.1340i −0.308679 + 1.30816i
\(262\) 8.27126 + 3.56366i 0.511000 + 0.220163i
\(263\) 15.7933 20.5822i 0.973856 1.26915i 0.0107750 0.999942i \(-0.496570\pi\)
0.963081 0.269212i \(-0.0867632\pi\)
\(264\) 2.39145 + 11.6912i 0.147183 + 0.719542i
\(265\) −2.99399 3.90184i −0.183919 0.239688i
\(266\) −3.78896 + 0.958142i −0.232316 + 0.0587475i
\(267\) 10.5125 + 18.9756i 0.643358 + 1.16129i
\(268\) −23.7588 + 19.6777i −1.45130 + 1.20201i
\(269\) −10.5116 2.09088i −0.640901 0.127483i −0.136067 0.990700i \(-0.543446\pi\)
−0.504834 + 0.863216i \(0.668446\pi\)
\(270\) −6.82738 + 13.7845i −0.415501 + 0.838895i
\(271\) −16.3725 + 16.3725i −0.994561 + 0.994561i −0.999985 0.00542439i \(-0.998273\pi\)
0.00542439 + 0.999985i \(0.498273\pi\)
\(272\) 6.20212 3.12819i 0.376059 0.189674i
\(273\) 14.4012 4.60614i 0.871600 0.278776i
\(274\) 1.65855 4.66840i 0.100197 0.282028i
\(275\) 1.13192 + 0.992664i 0.0682571 + 0.0598599i
\(276\) −0.0142620 + 0.0798176i −0.000858472 + 0.00480445i
\(277\) 1.30180 19.8616i 0.0782174 1.19337i −0.760699 0.649105i \(-0.775143\pi\)
0.838916 0.544261i \(-0.183190\pi\)
\(278\) 15.7417 + 0.222200i 0.944122 + 0.0133267i
\(279\) 25.0619 + 7.67504i 1.50042 + 0.459493i
\(280\) −10.0688 10.9598i −0.601727 0.654972i
\(281\) 8.10387 + 6.21832i 0.483437 + 0.370954i 0.821536 0.570156i \(-0.193117\pi\)
−0.338100 + 0.941110i \(0.609784\pi\)
\(282\) 2.39221 3.34484i 0.142454 0.199183i
\(283\) −25.2007 8.55450i −1.49803 0.508512i −0.552349 0.833613i \(-0.686268\pi\)
−0.945679 + 0.325101i \(0.894602\pi\)
\(284\) 8.73332 14.1862i 0.518227 0.841794i
\(285\) −1.59032 + 3.65515i −0.0942027 + 0.216512i
\(286\) −3.68519 11.3815i −0.217910 0.673003i
\(287\) 2.66618i 0.157380i
\(288\) 14.3413 + 9.07336i 0.845072 + 0.534653i
\(289\) 13.9843i 0.822603i
\(290\) −20.3857 + 6.60063i −1.19709 + 0.387602i
\(291\) −1.65232 2.23408i −0.0968608 0.130964i
\(292\) 29.3888 6.99196i 1.71985 0.409173i
\(293\) −0.871597 0.295867i −0.0509192 0.0172847i 0.295864 0.955230i \(-0.404393\pi\)
−0.346783 + 0.937945i \(0.612726\pi\)
\(294\) 0.162092 1.66146i 0.00945339 0.0968983i
\(295\) 6.86605 + 5.26850i 0.399757 + 0.306744i
\(296\) 8.14041 + 22.2762i 0.473152 + 1.29478i
\(297\) −3.42709 12.1843i −0.198860 0.707007i
\(298\) 0.331212 23.4646i 0.0191866 1.35927i
\(299\) 0.00531634 0.0811116i 0.000307452 0.00469080i
\(300\) 2.13332 0.181733i 0.123167 0.0104924i
\(301\) −2.54833 2.23482i −0.146883 0.128813i
\(302\) −25.9431 9.21684i −1.49286 0.530370i
\(303\) −3.72895 3.38873i −0.214222 0.194678i
\(304\) 3.82807 + 2.16448i 0.219555 + 0.124141i
\(305\) −4.06132 + 4.06132i −0.232550 + 0.232550i
\(306\) −6.32103 + 3.78522i −0.361349 + 0.216387i
\(307\) 13.6674 + 2.71862i 0.780042 + 0.155160i 0.569022 0.822322i \(-0.307322\pi\)
0.211019 + 0.977482i \(0.432322\pi\)
\(308\) 12.1922 + 1.14550i 0.694714 + 0.0652711i
\(309\) −29.6932 0.525262i −1.68919 0.0298811i
\(310\) 6.34098 + 25.0753i 0.360143 + 1.42418i
\(311\) −1.52886 1.99245i −0.0866937 0.112981i 0.747993 0.663707i \(-0.231018\pi\)
−0.834686 + 0.550725i \(0.814351\pi\)
\(312\) −15.2993 7.44197i −0.866150 0.421319i
\(313\) 13.2718 17.2962i 0.750167 0.977637i −0.249789 0.968300i \(-0.580361\pi\)
0.999956 0.00933646i \(-0.00297193\pi\)
\(314\) −5.48006 + 12.7193i −0.309258 + 0.717789i
\(315\) 11.4927 + 10.8214i 0.647540 + 0.609717i
\(316\) 6.67405 + 17.4935i 0.375444 + 0.984088i
\(317\) −13.1846 6.50191i −0.740519 0.365183i 0.0325800 0.999469i \(-0.489628\pi\)
−0.773099 + 0.634286i \(0.781294\pi\)
\(318\) 4.67484 3.35648i 0.262152 0.188222i
\(319\) 8.81557 15.2690i 0.493577 0.854901i
\(320\) −0.322132 + 16.7434i −0.0180078 + 0.935982i
\(321\) −1.35436 + 2.62814i −0.0755931 + 0.146688i
\(322\) 0.0740983 + 0.0378506i 0.00412934 + 0.00210933i
\(323\) −1.58746 + 1.06070i −0.0883284 + 0.0590192i
\(324\) −15.8677 8.49793i −0.881541 0.472107i
\(325\) −2.10519 + 0.418748i −0.116775 + 0.0232279i
\(326\) −14.4705 + 1.69767i −0.801447 + 0.0940250i
\(327\) −26.1313 2.17752i −1.44507 0.120417i
\(328\) 2.07178 2.16980i 0.114395 0.119807i
\(329\) −2.56897 3.34794i −0.141632 0.184578i
\(330\) 8.52964 9.12386i 0.469541 0.502252i
\(331\) 34.5677 + 2.26569i 1.90001 + 0.124533i 0.970017 0.243037i \(-0.0781437\pi\)
0.929996 + 0.367571i \(0.119810\pi\)
\(332\) 13.8713 + 9.84595i 0.761287 + 0.540367i
\(333\) −10.3211 22.9408i −0.565594 1.25715i
\(334\) −11.3701 7.83165i −0.622147 0.428529i
\(335\) 31.1885 + 8.35694i 1.70401 + 0.456588i
\(336\) 13.1928 11.3683i 0.719724 0.620193i
\(337\) −15.7178 + 4.21156i −0.856201 + 0.229418i −0.660111 0.751168i \(-0.729491\pi\)
−0.196089 + 0.980586i \(0.562824\pi\)
\(338\) −1.25209 0.444834i −0.0681049 0.0241958i
\(339\) −30.4607 + 11.9906i −1.65440 + 0.651237i
\(340\) −6.42729 3.39839i −0.348569 0.184304i
\(341\) −17.6953 11.8236i −0.958255 0.640285i
\(342\) −4.21575 1.99598i −0.227962 0.107930i
\(343\) −17.8389 7.38912i −0.963211 0.398975i
\(344\) 0.337303 + 3.79895i 0.0181861 + 0.204825i
\(345\) 0.0767646 0.0361825i 0.00413287 0.00194800i
\(346\) −3.80119 + 26.0285i −0.204353 + 1.39930i
\(347\) 5.67290 + 1.92569i 0.304537 + 0.103377i 0.469525 0.882919i \(-0.344425\pi\)
−0.164988 + 0.986296i \(0.552758\pi\)
\(348\) −6.96135 24.0879i −0.373167 1.29125i
\(349\) 2.60451 5.28142i 0.139416 0.282708i −0.815955 0.578115i \(-0.803789\pi\)
0.955372 + 0.295407i \(0.0954552\pi\)
\(350\) 0.459012 2.14866i 0.0245352 0.114850i
\(351\) 16.7559 + 6.69860i 0.894364 + 0.357545i
\(352\) −9.03216 10.4063i −0.481416 0.554656i
\(353\) −31.5125 + 18.1938i −1.67724 + 0.968356i −0.713834 + 0.700315i \(0.753043\pi\)
−0.963407 + 0.268041i \(0.913624\pi\)
\(354\) −6.41731 + 7.83424i −0.341076 + 0.416385i
\(355\) −17.3987 + 1.14037i −0.923429 + 0.0605247i
\(356\) −21.3309 13.1318i −1.13054 0.695983i
\(357\) 1.82739 + 7.33658i 0.0967157 + 0.388293i
\(358\) 9.87205 12.4963i 0.521754 0.660449i
\(359\) 17.3746 7.19679i 0.916996 0.379832i 0.126265 0.991996i \(-0.459701\pi\)
0.790731 + 0.612164i \(0.209701\pi\)
\(360\) −0.944164 17.7372i −0.0497618 0.934832i
\(361\) 16.4370 + 6.80844i 0.865106 + 0.358339i
\(362\) −7.33211 13.1239i −0.385367 0.689779i
\(363\) 0.155212 8.77416i 0.00814652 0.460524i
\(364\) −11.8774 + 12.7962i −0.622544 + 0.670702i
\(365\) −23.7720 20.8475i −1.24428 1.09121i
\(366\) −4.59885 4.90107i −0.240386 0.256183i
\(367\) 8.67585 32.3787i 0.452876 1.69015i −0.241384 0.970430i \(-0.577601\pi\)
0.694260 0.719725i \(-0.255732\pi\)
\(368\) −0.0308908 0.0883823i −0.00161029 0.00460725i
\(369\) −2.02517 + 2.45438i −0.105426 + 0.127770i
\(370\) 14.0811 20.4432i 0.732041 1.06279i
\(371\) −1.89835 5.59236i −0.0985574 0.290341i
\(372\) −29.5630 + 6.48318i −1.53277 + 0.336137i
\(373\) 4.60644 + 9.34094i 0.238513 + 0.483656i 0.982911 0.184080i \(-0.0589305\pi\)
−0.744399 + 0.667735i \(0.767264\pi\)
\(374\) 5.79970 1.46661i 0.299895 0.0758367i
\(375\) −13.1576 15.5498i −0.679454 0.802986i
\(376\) −0.510858 + 4.72087i −0.0263455 + 0.243460i
\(377\) 9.61940 + 23.2233i 0.495424 + 1.19606i
\(378\) −13.0839 + 13.0388i −0.672964 + 0.670642i
\(379\) 37.6598 7.49100i 1.93445 0.384787i 0.934899 0.354914i \(-0.115490\pi\)
0.999554 0.0298727i \(-0.00951019\pi\)
\(380\) −0.471742 4.57855i −0.0241999 0.234875i
\(381\) −1.77221 15.5870i −0.0907931 0.798545i
\(382\) 6.39674 0.328668i 0.327286 0.0168161i
\(383\) −5.71178 + 9.89309i −0.291858 + 0.505513i −0.974249 0.225474i \(-0.927607\pi\)
0.682391 + 0.730987i \(0.260940\pi\)
\(384\) −19.5704 0.999729i −0.998698 0.0510172i
\(385\) −6.40860 11.1000i −0.326612 0.565709i
\(386\) 9.32508 + 14.3916i 0.474634 + 0.732514i
\(387\) −0.648370 3.99294i −0.0329585 0.202973i
\(388\) 2.92851 + 1.31105i 0.148673 + 0.0665587i
\(389\) 15.9125 + 18.1447i 0.806795 + 0.919973i 0.998104 0.0615567i \(-0.0196065\pi\)
−0.191309 + 0.981530i \(0.561273\pi\)
\(390\) 2.91688 + 17.5664i 0.147702 + 0.889511i
\(391\) 0.0402994 + 0.00530551i 0.00203803 + 0.000268311i
\(392\) 0.778608 + 1.76335i 0.0393256 + 0.0890625i
\(393\) 10.8548 1.96025i 0.547554 0.0988813i
\(394\) −8.28565 + 29.2639i −0.417425 + 1.47429i
\(395\) 10.8875 16.2943i 0.547808 0.819853i
\(396\) 10.3536 + 10.3154i 0.520286 + 0.518369i
\(397\) −5.27663 1.04959i −0.264826 0.0526772i 0.0608910 0.998144i \(-0.480606\pi\)
−0.325717 + 0.945467i \(0.605606\pi\)
\(398\) 17.5472 + 1.39909i 0.879562 + 0.0701298i
\(399\) −3.21917 + 3.54236i −0.161160 + 0.177340i
\(400\) −2.04318 + 1.39195i −0.102159 + 0.0695973i
\(401\) 0.655374 0.175607i 0.0327278 0.00876939i −0.242418 0.970172i \(-0.577941\pi\)
0.275146 + 0.961403i \(0.411274\pi\)
\(402\) −10.9344 + 36.1660i −0.545358 + 1.80379i
\(403\) 28.7314 9.75301i 1.43122 0.485832i
\(404\) 5.67209 + 1.29569i 0.282197 + 0.0644628i
\(405\) 2.36002 + 18.6914i 0.117271 + 0.928781i
\(406\) −25.7280 0.363161i −1.27686 0.0180234i
\(407\) 2.66603 + 20.2505i 0.132150 + 1.00378i
\(408\) 4.21377 7.39066i 0.208613 0.365892i
\(409\) −3.40628 + 25.8732i −0.168430 + 1.27935i 0.673267 + 0.739399i \(0.264890\pi\)
−0.841697 + 0.539950i \(0.818443\pi\)
\(410\) −3.10705 0.453752i −0.153446 0.0224092i
\(411\) −1.46653 5.88782i −0.0723386 0.290425i
\(412\) 30.1699 16.3010i 1.48637 0.803092i
\(413\) 5.77368 + 8.64093i 0.284104 + 0.425192i
\(414\) 0.0394615 + 0.0911272i 0.00193943 + 0.00447866i
\(415\) 17.8041i 0.873967i
\(416\) 19.6095 1.18442i 0.961433 0.0580711i
\(417\) 16.2189 10.4270i 0.794242 0.510610i
\(418\) 2.81190 + 2.53706i 0.137534 + 0.124092i
\(419\) 31.1504 2.04170i 1.52180 0.0997438i 0.718585 0.695439i \(-0.244790\pi\)
0.803211 + 0.595695i \(0.203123\pi\)
\(420\) −17.6953 4.37287i −0.863443 0.213374i
\(421\) −3.16074 + 2.77189i −0.154045 + 0.135094i −0.732899 0.680337i \(-0.761833\pi\)
0.578854 + 0.815431i \(0.303500\pi\)
\(422\) −7.61362 + 3.02849i −0.370625 + 0.147425i
\(423\) 0.178131 5.03332i 0.00866103 0.244728i
\(424\) −2.80066 + 6.02631i −0.136012 + 0.292664i
\(425\) −0.140097 1.06415i −0.00679572 0.0516186i
\(426\) −0.686377 20.3913i −0.0332551 0.987963i
\(427\) −6.18567 + 3.05043i −0.299345 + 0.147621i
\(428\) −0.127042 3.41161i −0.00614080 0.164906i
\(429\) −11.4646 9.12374i −0.553516 0.440498i
\(430\) 3.03806 2.58937i 0.146508 0.124870i
\(431\) 6.31967 + 6.31967i 0.304408 + 0.304408i 0.842736 0.538328i \(-0.180944\pi\)
−0.538328 + 0.842736i \(0.680944\pi\)
\(432\) 20.7799 0.444306i 0.999771 0.0213767i
\(433\) −9.05059 + 9.05059i −0.434943 + 0.434943i −0.890306 0.455363i \(-0.849510\pi\)
0.455363 + 0.890306i \(0.349510\pi\)
\(434\) −2.46854 + 30.9602i −0.118494 + 1.48614i
\(435\) −16.3417 + 20.5345i −0.783526 + 0.984553i
\(436\) 27.5231 12.6200i 1.31812 0.604388i
\(437\) 0.0113814 + 0.0230793i 0.000544448 + 0.00110403i
\(438\) 25.2669 27.0271i 1.20730 1.29141i
\(439\) −11.9630 + 1.57496i −0.570964 + 0.0751688i −0.410480 0.911870i \(-0.634639\pi\)
−0.160484 + 0.987038i \(0.551306\pi\)
\(440\) −3.40988 + 14.0133i −0.162560 + 0.668057i
\(441\) −0.958999 1.80566i −0.0456666 0.0859837i
\(442\) −3.37476 + 7.83283i −0.160521 + 0.372570i
\(443\) 0.359421 + 0.409841i 0.0170766 + 0.0194722i 0.760315 0.649554i \(-0.225045\pi\)
−0.743238 + 0.669027i \(0.766711\pi\)
\(444\) 23.3857 + 17.2293i 1.10984 + 0.817668i
\(445\) 1.71471 + 26.1615i 0.0812852 + 1.24017i
\(446\) 0.124508 + 2.42326i 0.00589563 + 0.114745i
\(447\) −15.5425 24.1759i −0.735133 1.14348i
\(448\) −6.82901 + 18.9142i −0.322641 + 0.893613i
\(449\) 13.6903 0.646085 0.323043 0.946384i \(-0.395294\pi\)
0.323043 + 0.946384i \(0.395294\pi\)
\(450\) 2.05462 1.62931i 0.0968557 0.0768066i
\(451\) 2.14824 1.43541i 0.101157 0.0675908i
\(452\) 23.8485 29.3273i 1.12174 1.37944i
\(453\) −32.7196 + 8.14975i −1.53730 + 0.382909i
\(454\) 2.50532 + 3.36221i 0.117581 + 0.157796i
\(455\) 18.1171 + 2.38517i 0.849344 + 0.111818i
\(456\) 5.37245 0.381376i 0.251588 0.0178596i
\(457\) 9.71737 1.27932i 0.454559 0.0598439i 0.100230 0.994964i \(-0.468042\pi\)
0.354330 + 0.935120i \(0.384709\pi\)
\(458\) 6.93846 6.74531i 0.324213 0.315188i
\(459\) −3.89048 + 8.14182i −0.181592 + 0.380027i
\(460\) −0.0567201 + 0.0799092i −0.00264459 + 0.00372578i
\(461\) −9.07381 26.7306i −0.422609 1.24497i −0.924881 0.380257i \(-0.875835\pi\)
0.502271 0.864710i \(-0.332498\pi\)
\(462\) 13.2206 7.08225i 0.615078 0.329496i
\(463\) 8.48419 + 31.6634i 0.394294 + 1.47152i 0.822980 + 0.568071i \(0.192310\pi\)
−0.428686 + 0.903454i \(0.641023\pi\)
\(464\) 20.6558 + 20.2876i 0.958922 + 0.941830i
\(465\) 23.4433 + 21.3044i 1.08716 + 0.987970i
\(466\) −30.4673 + 25.9676i −1.41137 + 1.20293i
\(467\) −3.00039 + 15.0840i −0.138841 + 0.698003i 0.847170 + 0.531323i \(0.178305\pi\)
−0.986011 + 0.166680i \(0.946695\pi\)
\(468\) −20.6536 + 2.75787i −0.954711 + 0.127483i
\(469\) 32.2382 + 21.5409i 1.48862 + 0.994666i
\(470\) 4.33875 2.42398i 0.200132 0.111810i
\(471\) 3.01440 + 16.6922i 0.138896 + 0.769135i
\(472\) 2.01574 11.5187i 0.0927818 0.530189i
\(473\) −0.428721 + 3.25646i −0.0197126 + 0.149732i
\(474\) 18.6520 + 13.3398i 0.856717 + 0.612719i
\(475\) 0.510880 0.448030i 0.0234408 0.0205570i
\(476\) −5.99662 6.34510i −0.274854 0.290827i
\(477\) 2.50028 6.59005i 0.114480 0.301738i
\(478\) −7.84274 + 36.7122i −0.358719 + 1.67918i
\(479\) −21.5231 + 12.4264i −0.983417 + 0.567776i −0.903300 0.429009i \(-0.858863\pi\)
−0.0801173 + 0.996785i \(0.525529\pi\)
\(480\) 11.0029 + 17.3090i 0.502211 + 0.790045i
\(481\) −25.2189 14.5601i −1.14988 0.663884i
\(482\) 8.49348 9.41356i 0.386868 0.428776i
\(483\) 0.101254 0.0115123i 0.00460720 0.000523830i
\(484\) 4.81685 + 8.91504i 0.218948 + 0.405229i
\(485\) −0.655168 3.29375i −0.0297496 0.149562i
\(486\) −21.9485 + 2.06474i −0.995604 + 0.0936585i
\(487\) −5.52212 + 2.28734i −0.250231 + 0.103649i −0.504274 0.863544i \(-0.668240\pi\)
0.254043 + 0.967193i \(0.418240\pi\)
\(488\) 7.40440 + 2.32410i 0.335181 + 0.105207i
\(489\) −13.6220 + 11.5264i −0.616008 + 0.521241i
\(490\) 1.03332 1.73282i 0.0466808 0.0782807i
\(491\) 20.2723 9.99721i 0.914878 0.451168i 0.0770032 0.997031i \(-0.475465\pi\)
0.837874 + 0.545863i \(0.183798\pi\)
\(492\) 0.646296 3.61701i 0.0291373 0.163067i
\(493\) −11.9026 + 4.04039i −0.536066 + 0.181970i
\(494\) −5.31010 + 0.978543i −0.238913 + 0.0440267i
\(495\) 2.53182 15.0861i 0.113797 0.678068i
\(496\) 26.0668 23.2779i 1.17043 1.04521i
\(497\) −20.2240 5.41899i −0.907168 0.243075i
\(498\) 20.8229 + 0.662441i 0.933098 + 0.0296847i
\(499\) −9.20758 + 10.4992i −0.412188 + 0.470010i −0.920262 0.391303i \(-0.872024\pi\)
0.508074 + 0.861314i \(0.330358\pi\)
\(500\) 22.0502 + 8.18611i 0.986113 + 0.366094i
\(501\) −16.9066 0.299072i −0.755331 0.0133616i
\(502\) −3.06548 + 10.8269i −0.136819 + 0.483228i
\(503\) 5.08410 12.2741i 0.226689 0.547275i −0.769082 0.639150i \(-0.779286\pi\)
0.995771 + 0.0918755i \(0.0292862\pi\)
\(504\) 5.77274 20.5331i 0.257138 0.914616i
\(505\) −2.33040 5.62609i −0.103702 0.250358i
\(506\) −0.00939509 0.0800816i −0.000417663 0.00356006i
\(507\) −1.57915 + 0.393333i −0.0701325 + 0.0174685i
\(508\) 10.6172 + 14.6765i 0.471064 + 0.651166i
\(509\) 0.225493 + 3.44035i 0.00999479 + 0.152491i 0.999939 + 0.0110336i \(0.00351217\pi\)
−0.989944 + 0.141457i \(0.954821\pi\)
\(510\) −8.86073 + 0.880961i −0.392360 + 0.0390096i
\(511\) −18.9838 32.8809i −0.839795 1.45457i
\(512\) 20.2550 10.0863i 0.895155 0.445756i
\(513\) −5.65414 + 0.815750i −0.249636 + 0.0360162i
\(514\) −3.52681 5.44301i −0.155561 0.240081i
\(515\) −32.1905 15.8746i −1.41848 0.699518i
\(516\) 2.91539 + 3.64954i 0.128343 + 0.160662i
\(517\) −1.31449 + 3.87236i −0.0578112 + 0.170306i
\(518\) 23.9022 17.8105i 1.05020 0.782548i
\(519\) 13.7357 + 29.1416i 0.602930 + 1.27917i
\(520\) −12.8907 16.0191i −0.565296 0.702486i
\(521\) −11.1188 + 26.8431i −0.487122 + 1.17602i 0.469039 + 0.883177i \(0.344600\pi\)
−0.956161 + 0.292840i \(0.905400\pi\)
\(522\) −23.4083 19.8767i −1.02455 0.869979i
\(523\) −5.81777 + 8.70692i −0.254394 + 0.380727i −0.936581 0.350450i \(-0.886029\pi\)
0.682188 + 0.731177i \(0.261029\pi\)
\(524\) −9.80927 + 8.12434i −0.428520 + 0.354914i
\(525\) −0.985643 2.50392i −0.0430170 0.109280i
\(526\) 15.7613 + 33.1315i 0.687223 + 1.44460i
\(527\) 3.92692 + 14.6555i 0.171059 + 0.638402i
\(528\) −16.2625 4.50946i −0.707736 0.196249i
\(529\) −5.95270 + 22.2158i −0.258813 + 0.965903i
\(530\) 6.84016 1.26050i 0.297118 0.0547527i
\(531\) −1.24843 + 12.3401i −0.0541771 + 0.535513i
\(532\) 1.23085 5.38828i 0.0533643 0.233611i
\(533\) −0.240915 + 3.67565i −0.0104352 + 0.159210i
\(534\) −30.6612 + 1.03206i −1.32684 + 0.0446618i
\(535\) −2.83485 + 2.17526i −0.122561 + 0.0940445i
\(536\) −9.49771 42.5814i −0.410239 1.83924i
\(537\) 1.61968 19.4370i 0.0698945 0.838770i
\(538\) 9.39569 11.8933i 0.405077 0.512756i
\(539\) 0.323862 + 1.62817i 0.0139497 + 0.0701300i
\(540\) −12.9681 17.4665i −0.558058 0.751637i
\(541\) −2.87660 4.30514i −0.123675 0.185092i 0.764466 0.644664i \(-0.223003\pi\)
−0.888141 + 0.459572i \(0.848003\pi\)
\(542\) −10.0869 31.1528i −0.433268 1.33813i
\(543\) −16.3665 8.43415i −0.702353 0.361944i
\(544\) −0.0503220 + 9.82350i −0.00215754 + 0.421179i
\(545\) −27.4453 15.8455i −1.17563 0.678748i
\(546\) −3.46369 + 21.1004i −0.148232 + 0.903012i
\(547\) 11.2084 22.7283i 0.479235 0.971792i −0.514230 0.857652i \(-0.671922\pi\)
0.993465 0.114140i \(-0.0364112\pi\)
\(548\) 4.81245 + 5.09212i 0.205578 + 0.217525i
\(549\) −8.01133 1.89038i −0.341915 0.0806796i
\(550\) −1.97837 + 0.786941i −0.0843580 + 0.0335553i
\(551\) −6.31323 4.84432i −0.268953 0.206375i
\(552\) −0.0913483 0.0693108i −0.00388804 0.00295007i
\(553\) 18.6693 14.3255i 0.793901 0.609181i
\(554\) 24.1765 + 14.4171i 1.02716 + 0.612522i
\(555\) 0.537723 30.3976i 0.0228251 1.29031i
\(556\) −10.4069 + 19.6823i −0.441352 + 0.834717i
\(557\) 7.03405 35.3626i 0.298042 1.49836i −0.483963 0.875088i \(-0.660803\pi\)
0.782005 0.623272i \(-0.214197\pi\)
\(558\) −25.7891 + 26.6257i −1.09174 + 1.12716i
\(559\) −3.31123 3.31123i −0.140050 0.140050i
\(560\) 20.2805 5.63007i 0.857006 0.237914i
\(561\) 4.92753 5.42223i 0.208041 0.228927i
\(562\) −13.0449 + 6.20571i −0.550266 + 0.261772i
\(563\) 2.35967 2.69069i 0.0994481 0.113399i −0.699975 0.714168i \(-0.746805\pi\)
0.799423 + 0.600769i \(0.205139\pi\)
\(564\) 2.67356 + 5.16463i 0.112577 + 0.217470i
\(565\) −39.4788 2.58758i −1.66089 0.108860i
\(566\) 26.9861 26.2348i 1.13431 1.10273i
\(567\) −4.53109 + 22.1645i −0.190288 + 0.930823i
\(568\) 12.2479 + 20.1253i 0.513908 + 0.844437i
\(569\) −25.4994 + 33.2314i −1.06899 + 1.39313i −0.154751 + 0.987953i \(0.549458\pi\)
−0.914237 + 0.405180i \(0.867209\pi\)
\(570\) −3.58025 4.35435i −0.149960 0.182384i
\(571\) 4.45251 13.1167i 0.186332 0.548916i −0.813117 0.582100i \(-0.802231\pi\)
0.999449 + 0.0331837i \(0.0105647\pi\)
\(572\) 16.7049 + 2.68089i 0.698465 + 0.112094i
\(573\) 6.30712 4.66473i 0.263484 0.194872i
\(574\) −3.35783 1.71524i −0.140153 0.0715926i
\(575\) −0.0144667 −0.000603301
\(576\) −20.6533 + 12.2245i −0.860556 + 0.509356i
\(577\) −33.0637 −1.37646 −0.688230 0.725493i \(-0.741612\pi\)
−0.688230 + 0.725493i \(0.741612\pi\)
\(578\) 17.6120 + 8.99649i 0.732562 + 0.374205i
\(579\) 19.2588 + 8.37933i 0.800368 + 0.348233i
\(580\) 4.80180 29.9204i 0.199384 1.24238i
\(581\) 6.87214 20.2447i 0.285104 0.839890i
\(582\) 3.87662 0.643708i 0.160691 0.0266825i
\(583\) −3.48394 + 4.54036i −0.144290 + 0.188042i
\(584\) −10.1009 + 41.5108i −0.417978 + 1.71773i
\(585\) 14.8662 + 15.9571i 0.614642 + 0.659743i
\(586\) 0.933344 0.907362i 0.0385561 0.0374828i
\(587\) 3.27488 + 0.214647i 0.135169 + 0.00885943i 0.132837 0.991138i \(-0.457591\pi\)
0.00233146 + 0.999997i \(0.499258\pi\)
\(588\) 1.98819 + 1.27301i 0.0819915 + 0.0524980i
\(589\) −6.33330 + 7.22174i −0.260959 + 0.297567i
\(590\) −11.0524 + 5.25782i −0.455019 + 0.216461i
\(591\) 11.3478 + 35.4791i 0.466786 + 1.45942i
\(592\) −33.2919 4.07877i −1.36829 0.167636i
\(593\) −0.469046 0.469046i −0.0192614 0.0192614i 0.697410 0.716672i \(-0.254335\pi\)
−0.716672 + 0.697410i \(0.754335\pi\)
\(594\) 17.5499 + 3.52243i 0.720080 + 0.144527i
\(595\) −1.78268 + 8.96212i −0.0730826 + 0.367411i
\(596\) 29.3385 + 15.5126i 1.20175 + 0.635420i
\(597\) 18.8584 10.4476i 0.771824 0.427593i
\(598\) 0.0987330 + 0.0588770i 0.00403749 + 0.00240766i
\(599\) −17.7449 + 13.6161i −0.725037 + 0.556341i −0.904009 0.427514i \(-0.859390\pi\)
0.178972 + 0.983854i \(0.442723\pi\)
\(600\) −1.14355 + 2.80365i −0.0466853 + 0.114459i
\(601\) 29.4519 + 22.5992i 1.20137 + 0.921841i 0.998355 0.0573355i \(-0.0182605\pi\)
0.203011 + 0.979176i \(0.434927\pi\)
\(602\) 4.45399 1.77167i 0.181531 0.0722080i
\(603\) 13.3153 + 44.3171i 0.542240 + 1.80473i
\(604\) 28.2978 26.7436i 1.15142 1.08818i
\(605\) 4.69085 9.51210i 0.190710 0.386722i
\(606\) 6.66677 2.51622i 0.270819 0.102214i
\(607\) −8.69746 5.02148i −0.353019 0.203816i 0.312995 0.949755i \(-0.398668\pi\)
−0.666014 + 0.745939i \(0.732001\pi\)
\(608\) −5.18869 + 3.42866i −0.210429 + 0.139050i
\(609\) −26.5079 + 17.0417i −1.07416 + 0.690564i
\(610\) −2.50212 7.72765i −0.101308 0.312884i
\(611\) −3.23911 4.84766i −0.131040 0.196115i
\(612\) −0.700654 10.3960i −0.0283223 0.420231i
\(613\) 8.61678 + 43.3195i 0.348028 + 1.74966i 0.617427 + 0.786628i \(0.288175\pi\)
−0.269398 + 0.963029i \(0.586825\pi\)
\(614\) −12.2165 + 15.4640i −0.493020 + 0.624076i
\(615\) −3.47866 + 1.63964i −0.140273 + 0.0661168i
\(616\) −9.28627 + 14.6181i −0.374154 + 0.588980i
\(617\) −9.87927 + 7.58063i −0.397725 + 0.305185i −0.788189 0.615433i \(-0.788981\pi\)
0.390464 + 0.920618i \(0.372314\pi\)
\(618\) 19.7640 37.0581i 0.795026 1.49070i
\(619\) 0.781448 11.9226i 0.0314091 0.479210i −0.952961 0.303094i \(-0.901980\pi\)
0.984370 0.176115i \(-0.0563531\pi\)
\(620\) −35.6596 8.14578i −1.43212 0.327142i
\(621\) 0.101955 + 0.0663122i 0.00409130 + 0.00266102i
\(622\) 3.49288 0.643667i 0.140052 0.0258087i
\(623\) −8.14822 + 30.4096i −0.326452 + 1.21833i
\(624\) 19.2150 14.4805i 0.769216 0.579683i
\(625\) −5.57177 20.7941i −0.222871 0.831765i
\(626\) 13.2449 + 27.8419i 0.529372 + 1.11278i
\(627\) 4.58733 + 0.686682i 0.183200 + 0.0274234i
\(628\) −12.4933 15.0844i −0.498538 0.601931i
\(629\) 8.09002 12.1076i 0.322570 0.482761i
\(630\) −21.0222 + 7.51233i −0.837546 + 0.299298i
\(631\) 2.59939 6.27547i 0.103480 0.249823i −0.863656 0.504081i \(-0.831831\pi\)
0.967136 + 0.254258i \(0.0818313\pi\)
\(632\) −26.3252 2.84873i −1.04716 0.113316i
\(633\) −5.72206 + 8.24418i −0.227431 + 0.327677i
\(634\) 16.6706 12.4220i 0.662075 0.493339i
\(635\) 6.09428 17.9532i 0.241844 0.712450i
\(636\) 1.21973 + 8.04689i 0.0483655 + 0.319080i
\(637\) −2.12267 1.04679i −0.0841034 0.0414752i
\(638\) 13.5587 + 20.9255i 0.536794 + 0.828447i
\(639\) −14.5012 20.3502i −0.573660 0.805040i
\(640\) −20.8796 11.1772i −0.825339 0.441818i
\(641\) −20.5170 35.5366i −0.810374 1.40361i −0.912602 0.408849i \(-0.865930\pi\)
0.102228 0.994761i \(-0.467403\pi\)
\(642\) −2.43862 3.39646i −0.0962446 0.134048i
\(643\) 1.89740 + 28.9488i 0.0748263 + 1.14163i 0.855884 + 0.517169i \(0.173014\pi\)
−0.781057 + 0.624459i \(0.785319\pi\)
\(644\) −0.0953393 + 0.0689700i −0.00375690 + 0.00271780i
\(645\) 1.34868 4.69926i 0.0531043 0.185033i
\(646\) −0.314609 2.68165i −0.0123781 0.105508i
\(647\) 14.9143 + 36.0063i 0.586341 + 1.41555i 0.886977 + 0.461814i \(0.152801\pi\)
−0.300636 + 0.953739i \(0.597199\pi\)
\(648\) 20.9106 14.5171i 0.821446 0.570286i
\(649\) 3.85390 9.30413i 0.151279 0.365219i
\(650\) 0.826953 2.92070i 0.0324358 0.114559i
\(651\) 18.4337 + 33.2737i 0.722475 + 1.30410i
\(652\) 7.17124 19.3165i 0.280847 0.756493i
\(653\) −17.7325 + 20.2200i −0.693925 + 0.791269i −0.986287 0.165038i \(-0.947225\pi\)
0.292362 + 0.956308i \(0.405559\pi\)
\(654\) 19.5535 31.5093i 0.764602 1.23211i
\(655\) 12.8768 + 3.45033i 0.503138 + 0.134815i
\(656\) 1.39984 + 4.00512i 0.0546547 + 0.156374i
\(657\) 7.49986 44.6886i 0.292597 1.74347i
\(658\) 5.86915 1.08156i 0.228803 0.0421637i
\(659\) −43.8762 + 14.8940i −1.70917 + 0.580186i −0.993040 0.117776i \(-0.962423\pi\)
−0.716134 + 0.697963i \(0.754090\pi\)
\(660\) 6.00336 + 16.6120i 0.233680 + 0.646622i
\(661\) 27.5685 13.5953i 1.07229 0.528795i 0.181584 0.983375i \(-0.441877\pi\)
0.890706 + 0.454580i \(0.150211\pi\)
\(662\) −25.0919 + 42.0775i −0.975224 + 1.63539i
\(663\) 1.85634 + 10.2795i 0.0720943 + 0.399221i
\(664\) −21.3240 + 11.1355i −0.827530 + 0.432142i
\(665\) −5.34458 + 2.21380i −0.207254 + 0.0858473i
\(666\) 35.5319 + 1.75991i 1.37683 + 0.0681952i
\(667\) 0.0330518 + 0.166163i 0.00127977 + 0.00643384i
\(668\) 17.1781 9.28140i 0.664639 0.359108i
\(669\) 1.76713 + 2.38931i 0.0683210 + 0.0923759i
\(670\) −30.5894 + 33.9030i −1.18177 + 1.30979i
\(671\) 5.78806 + 3.34174i 0.223446 + 0.129006i
\(672\) 5.83013 + 23.9287i 0.224902 + 0.923071i
\(673\) 15.5809 8.99566i 0.600601 0.346757i −0.168677 0.985671i \(-0.553949\pi\)
0.769278 + 0.638914i \(0.220616\pi\)
\(674\) 4.80760 22.5046i 0.185182 0.866845i
\(675\) 0.994578 3.05369i 0.0382813 0.117536i
\(676\) 1.36574 1.29073i 0.0525285 0.0496435i
\(677\) 27.0550 23.7266i 1.03981 0.911889i 0.0436154 0.999048i \(-0.486112\pi\)
0.996194 + 0.0871597i \(0.0277790\pi\)
\(678\) 4.49523 46.0766i 0.172638 1.76956i
\(679\) 0.526367 3.99815i 0.0202001 0.153435i
\(680\) 8.41486 5.90834i 0.322695 0.226574i
\(681\) 4.83285 + 1.73645i 0.185195 + 0.0665409i
\(682\) 26.2748 14.6792i 1.00611 0.562097i
\(683\) −38.3824 25.6463i −1.46866 0.981329i −0.994920 0.100666i \(-0.967903\pi\)
−0.473743 0.880663i \(-0.657097\pi\)
\(684\) 5.22589 4.02531i 0.199817 0.153912i
\(685\) 1.43065 7.19235i 0.0546622 0.274806i
\(686\) 20.7823 17.7130i 0.793471 0.676284i
\(687\) 2.51738 11.5812i 0.0960439 0.441852i
\(688\) −5.00145 2.01917i −0.190678 0.0769802i
\(689\) −2.11177 7.88125i −0.0804522 0.300252i
\(690\) −0.00381616 + 0.119956i −0.000145279 + 0.00456664i
\(691\) 12.3818 + 36.4755i 0.471024 + 1.38759i 0.879968 + 0.475033i \(0.157564\pi\)
−0.408943 + 0.912560i \(0.634103\pi\)
\(692\) −30.3353 21.5322i −1.15318 0.818532i
\(693\) 8.70191 16.1768i 0.330558 0.614508i
\(694\) −6.07480 + 5.90569i −0.230596 + 0.224177i
\(695\) 23.1036 3.04165i 0.876370 0.115376i
\(696\) 34.8151 + 6.72926i 1.31966 + 0.255072i
\(697\) −1.82620 0.240424i −0.0691723 0.00910671i
\(698\) 4.97594 + 6.67785i 0.188342 + 0.252760i
\(699\) −13.5253 + 47.1267i −0.511575 + 1.78250i
\(700\) 2.41075 + 1.96038i 0.0911179 + 0.0740954i
\(701\) −3.30291 + 2.20693i −0.124749 + 0.0833546i −0.616379 0.787449i \(-0.711401\pi\)
0.491630 + 0.870804i \(0.336401\pi\)
\(702\) −19.2159 + 16.7932i −0.725257 + 0.633819i
\(703\) 9.21875 0.347692
\(704\) 18.9165 4.68058i 0.712941 0.176406i
\(705\) 2.78832 5.41073i 0.105014 0.203780i
\(706\) −2.64054 51.3919i −0.0993782 1.93416i
\(707\) −0.478260 7.29683i −0.0179868 0.274426i
\(708\) −5.73811 13.1221i −0.215651 0.493157i
\(709\) 6.10535 + 6.96182i 0.229291 + 0.261457i 0.855033 0.518574i \(-0.173537\pi\)
−0.625742 + 0.780030i \(0.715204\pi\)
\(710\) 9.75693 22.6459i 0.366171 0.849884i
\(711\) 28.0676 + 0.993323i 1.05262 + 0.0372525i
\(712\) 30.2612 18.4164i 1.13409 0.690183i
\(713\) 0.202749 0.0266925i 0.00759302 0.000999640i
\(714\) −10.4154 2.41841i −0.389787 0.0905065i
\(715\) −7.83201 15.8817i −0.292901 0.593944i
\(716\) 9.38702 + 20.4722i 0.350809 + 0.765084i
\(717\) 16.8408 + 42.7824i 0.628932 + 1.59774i
\(718\) −2.11385 + 26.5117i −0.0788882 + 0.989409i
\(719\) 26.2483 26.2483i 0.978895 0.978895i −0.0208866 0.999782i \(-0.506649\pi\)
0.999782 + 0.0208866i \(0.00664888\pi\)
\(720\) 22.9459 + 10.2218i 0.855143 + 0.380943i
\(721\) −30.4758 30.4758i −1.13498 1.13498i
\(722\) −19.1491 + 16.3210i −0.712655 + 0.607403i
\(723\) 2.29885 15.3573i 0.0854950 0.571144i
\(724\) 21.2455 0.791140i 0.789582 0.0294025i
\(725\) 4.01230 1.97865i 0.149013 0.0734851i
\(726\) 10.9505 + 5.84016i 0.406410 + 0.216749i
\(727\) 1.93809 + 14.7213i 0.0718800 + 0.545983i 0.989060 + 0.147511i \(0.0471260\pi\)
−0.917181 + 0.398472i \(0.869541\pi\)
\(728\) −8.47463 23.1907i −0.314091 0.859506i
\(729\) −21.0068 + 16.9621i −0.778031 + 0.628226i
\(730\) 41.5488 16.5270i 1.53779 0.611691i
\(731\) 1.76054 1.54395i 0.0651159 0.0571051i
\(732\) 9.13106 2.63885i 0.337494 0.0975349i
\(733\) 23.7589 1.55724i 0.877553 0.0575179i 0.380036 0.924972i \(-0.375912\pi\)
0.497518 + 0.867454i \(0.334245\pi\)
\(734\) 35.1968 + 31.7567i 1.29914 + 1.17216i
\(735\) −0.117973 2.46814i −0.00435150 0.0910386i
\(736\) 0.131183 + 0.0179547i 0.00483547 + 0.000661818i
\(737\) 37.5726i 1.38401i
\(738\) −1.78823 4.12951i −0.0658258 0.152009i
\(739\) 5.04777 + 7.55452i 0.185685 + 0.277898i 0.912620 0.408809i \(-0.134056\pi\)
−0.726935 + 0.686707i \(0.759056\pi\)
\(740\) 16.6877 + 30.8857i 0.613452 + 1.13538i
\(741\) −4.75809 + 4.59268i −0.174793 + 0.168716i
\(742\) 8.26436 + 1.20692i 0.303394 + 0.0443075i
\(743\) 3.05845 23.2313i 0.112204 0.852273i −0.839091 0.543991i \(-0.816913\pi\)
0.951295 0.308282i \(-0.0997540\pi\)
\(744\) 10.8538 41.4030i 0.397919 1.51791i
\(745\) −4.53389 34.4383i −0.166109 1.26172i
\(746\) −14.7276 0.207886i −0.539215 0.00761125i
\(747\) 21.7036 13.4165i 0.794094 0.490885i
\(748\) −1.88405 + 8.24774i −0.0688876 + 0.301567i
\(749\) −4.06308 + 1.37923i −0.148462 + 0.0503959i
\(750\) 28.0483 6.56723i 1.02418 0.239801i
\(751\) 4.69516 1.25807i 0.171329 0.0459075i −0.172135 0.985073i \(-0.555066\pi\)
0.343464 + 0.939166i \(0.388400\pi\)
\(752\) −5.61688 3.68046i −0.204827 0.134213i
\(753\) 4.19840 + 13.1264i 0.152998 + 0.478352i
\(754\) −35.4362 2.82542i −1.29051 0.102896i
\(755\) −39.9691 7.95035i −1.45462 0.289343i
\(756\) −8.00395 24.8663i −0.291101 0.904379i
\(757\) 23.1782 34.6887i 0.842427 1.26078i −0.120958 0.992658i \(-0.538597\pi\)
0.963385 0.268123i \(-0.0864035\pi\)
\(758\) −14.7934 + 52.2485i −0.537320 + 1.89775i
\(759\) −0.0637885 0.0753858i −0.00231537 0.00273633i
\(760\) 6.06978 + 2.35140i 0.220174 + 0.0852943i
\(761\) −43.6246 5.74328i −1.58139 0.208194i −0.711949 0.702231i \(-0.752187\pi\)
−0.869441 + 0.494037i \(0.835521\pi\)
\(762\) 20.7706 + 7.79563i 0.752439 + 0.282406i
\(763\) −25.0913 28.6112i −0.908367 1.03579i
\(764\) −3.70129 + 8.26759i −0.133908 + 0.299111i
\(765\) −8.44848 + 6.89610i −0.305456 + 0.249329i
\(766\) −8.78495 13.5580i −0.317413 0.489871i
\(767\) 7.17891 + 12.4342i 0.259215 + 0.448974i
\(768\) 13.8493 24.0041i 0.499744 0.866173i
\(769\) 15.6582 27.1209i 0.564651 0.978004i −0.432431 0.901667i \(-0.642344\pi\)
0.997082 0.0763369i \(-0.0243225\pi\)
\(770\) 18.1024 0.930109i 0.652364 0.0335188i
\(771\) −7.28380 3.16912i −0.262320 0.114133i
\(772\) −24.1241 + 2.48558i