Properties

Label 576.2.bm.a.133.34
Level $576$
Weight $2$
Character 576.133
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 133.34
Character \(\chi\) \(=\) 576.133
Dual form 576.2.bm.a.13.34

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{1}{16}\right)\)

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 −0.987249 0.159185i \(-0.949113\pi\)
0.686332 0.727289i \(-0.259220\pi\)
\(6\) −2.29329 + 0.860717i −0.936231 + 0.351386i
\(7\) −1.53022 1.99422i −0.578369 0.753745i 0.408939 0.912562i \(-0.365899\pi\)
−0.987308 + 0.158817i \(0.949232\pi\)
\(8\) 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 0.305601 0.952160i \(-0.401143\pi\)
0.427268 + 0.904125i \(0.359476\pi\)
\(12\) 2.55934 + 2.33447i 0.738818 + 0.673905i
\(13\) −2.28978 2.61100i −0.635072 0.724161i 0.341373 0.939928i \(-0.389108\pi\)
−0.976445 + 0.215767i \(0.930775\pi\)
\(14\) −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 −0.840160 0.542338i \(-0.817539\pi\)
0.542338 + 0.840160i \(0.317539\pi\)
\(18\) 1.03254 + 4.11508i 0.243371 + 0.969933i
\(19\) 0.214484 + 1.07828i 0.0492059 + 0.247375i 0.997558 0.0698453i \(-0.0222506\pi\)
−0.948352 + 0.317220i \(0.897251\pi\)
\(20\) 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 0.606824 0.794837i \(-0.292443\pi\)
−0.610696 + 0.791865i \(0.709110\pi\)
\(24\) 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 0.961382 + 0.275219i \(0.0887502\pi\)
−0.366906 + 0.930258i \(0.619583\pi\)
\(30\) 3.24921 + 3.96664i 0.593223 + 0.724205i
\(31\) −7.56639 + 4.36846i −1.35896 + 0.784599i −0.989484 0.144640i \(-0.953798\pi\)
−0.369480 + 0.929239i \(0.620464\pi\)
\(32\) −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 −0.576125 0.817361i \(-0.695436\pi\)
0.845061 0.534670i \(-0.179564\pi\)
\(38\) 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 0.672379 0.740207i \(-0.265272\pi\)
−0.540960 + 0.841048i \(0.681939\pi\)
\(42\) 5.22569 + 3.25624i 0.806342 + 0.502448i
\(43\) −0.0881905 1.34553i −0.0134489 0.205191i −0.999295 0.0375389i \(-0.988048\pi\)
0.985846 0.167652i \(-0.0536185\pi\)
\(44\) −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 0.926968 0.375140i \(-0.122405\pi\)
−0.990348 + 0.138603i \(0.955739\pi\)
\(48\) −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 0.730925 0.682457i \(-0.239089\pi\)
−0.910222 + 0.414122i \(0.864089\pi\)
\(54\) 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 0.998501 0.0547393i \(-0.0174328\pi\)
−0.825487 + 0.564421i \(0.809099\pi\)
\(60\) 2.90532 6.64397i 0.375076 0.857732i
\(61\) 2.46082 1.21354i 0.315076 0.155378i −0.277874 0.960617i \(-0.589630\pi\)
0.592950 + 0.805239i \(0.297963\pi\)
\(62\) 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 0.272663 + 0.962109i \(0.412095\pi\)
−0.395911 + 0.918289i \(0.629571\pi\)
\(68\) −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 −0.613995 0.789310i \(-0.710439\pi\)
0.992286 0.123966i \(-0.0395613\pi\)
\(72\) −7.87863 3.15075i −0.928505 0.371320i
\(73\) −5.78025 13.9548i −0.676527 1.63328i −0.770296 0.637687i \(-0.779891\pi\)
0.0937684 0.995594i \(-0.470109\pi\)
\(74\) −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 −0.728712 0.684820i \(-0.759881\pi\)
−0.288673 + 0.957428i \(0.593214\pi\)
\(80\) −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 −0.157741 0.987480i \(-0.550421\pi\)
−0.726285 + 0.687394i \(0.758755\pi\)
\(84\) 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 0.899482 0.436958i \(-0.143944\pi\)
0.327054 + 0.945006i \(0.393944\pi\)
\(90\) 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 0.427805 0.903871i \(-0.359287\pi\)
−0.568873 + 0.822425i \(0.692620\pi\)
\(98\) −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 0.543587 0.839353i \(-0.317066\pi\)
−0.761219 + 0.648494i \(0.775399\pi\)
\(102\) 1.75913 3.87297i 0.174180 0.383481i
\(103\) −2.23801 16.9994i −0.220517 1.67500i −0.640881 0.767640i \(-0.721431\pi\)
0.420364 0.907356i \(-0.361903\pi\)
\(104\) −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 −0.485071 0.874475i \(-0.661206\pi\)
0.622281 + 0.782794i \(0.286206\pi\)
\(108\) −5.90982 8.54834i −0.568673 0.822564i
\(109\) −2.95352 14.8483i −0.282896 1.42221i −0.816924 0.576746i \(-0.804322\pi\)
0.534028 0.845467i \(-0.320678\pi\)
\(110\) −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 −0.212254 0.977214i \(-0.568080\pi\)
0.672425 0.740165i \(-0.265253\pi\)
\(114\) −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 0.940270 + 0.340431i \(0.110573\pi\)
−0.976661 + 0.214789i \(0.931094\pi\)
\(132\) 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 −0.0193123 0.999813i \(-0.506148\pi\)
−0.277425 + 0.960747i \(0.589481\pi\)
\(138\) 0.0548493 + 0.0166936i 0.00466908 + 0.00142106i
\(139\) −4.92362 + 9.98411i −0.417616 + 0.846841i 0.581822 + 0.813316i \(0.302340\pi\)
−0.999438 + 0.0335251i \(0.989327\pi\)
\(140\) −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 −0.285190 0.958471i \(-0.592057\pi\)
−0.934019 + 0.357223i \(0.883723\pi\)
\(150\) −0.800653 + 1.28491i −0.0653731 + 0.104912i
\(151\) 2.54106 19.3013i 0.206789 1.57072i −0.501731 0.865024i \(-0.667303\pi\)
0.708519 0.705691i \(-0.249364\pi\)
\(152\) 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 0.450154 0.892951i \(-0.351369\pi\)
0.329749 + 0.944069i \(0.393036\pi\)
\(158\) 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 −0.536631 0.843817i \(-0.680303\pi\)
0.984945 + 0.172868i \(0.0553034\pi\)
\(164\) −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 −0.967300 0.253637i \(-0.918373\pi\)
0.868694 0.495350i \(-0.164960\pi\)
\(168\) −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 0.896851 0.442332i \(-0.145849\pi\)
0.442245 + 0.896894i \(0.354182\pi\)
\(174\) −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 −0.589726 0.807604i \(-0.700764\pi\)
−0.235779 + 0.971807i \(0.575764\pi\)
\(180\) −10.8655 6.29998i −0.809869 0.469573i
\(181\) −5.90577 8.83860i −0.438972 0.656968i 0.544346 0.838861i \(-0.316778\pi\)
−0.983318 + 0.181892i \(0.941778\pi\)
\(182\) 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 −0.936249 0.351336i \(-0.885727\pi\)
0.772391 + 0.635148i \(0.219061\pi\)
\(192\) 5.66558 12.6452i 0.408878 0.912589i
\(193\) 6.06296 + 10.5014i 0.436421 + 0.755904i 0.997410 0.0719191i \(-0.0229123\pi\)
−0.560989 + 0.827823i \(0.689579\pi\)
\(194\) −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 0.876786 0.480880i \(-0.159683\pi\)
0.626020 + 0.779807i \(0.284683\pi\)
\(198\) 3.16532 + 9.83782i 0.224949 + 0.699144i
\(199\) −4.76331 + 11.4996i −0.337662 + 0.815189i 0.660277 + 0.751022i \(0.270439\pi\)
−0.997939 + 0.0641665i \(0.979561\pi\)
\(200\) 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 −0.496157 0.868233i \(-0.665256\pi\)
0.796043 + 0.605240i \(0.206923\pi\)
\(212\) 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 0.548926 0.835871i \(-0.315037\pi\)
−0.449423 + 0.893319i \(0.648370\pi\)
\(224\) 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 0.936039 0.351896i \(-0.114463\pi\)
−0.849003 + 0.528389i \(0.822796\pi\)
\(228\) −1.96829 + 3.26040i −0.130353 + 0.215925i
\(229\) −6.47943 + 2.19947i −0.428173 + 0.145345i −0.527203 0.849739i \(-0.676759\pi\)
0.0990301 + 0.995084i \(0.468426\pi\)
\(230\) 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 0.713332 0.700826i \(-0.247185\pi\)
0.999961 0.00884299i \(-0.00281485\pi\)
\(234\) 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 0.961991 0.273081i \(-0.0880427\pi\)
0.696568 + 0.717491i \(0.254709\pi\)
\(240\) 7.36037 + 12.4963i 0.475110 + 0.806633i
\(241\) −8.65984 + 2.32040i −0.557830 + 0.149470i −0.526709 0.850046i \(-0.676574\pi\)
−0.0311206 + 0.999516i \(0.509908\pi\)
\(242\) 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 0.435126 0.900369i \(-0.356704\pi\)
0.0574478 + 0.998349i \(0.481704\pi\)
\(252\) −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 0.785602 0.618732i \(-0.212353\pi\)
−0.928639 + 0.370985i \(0.879020\pi\)
\(258\) 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 0.963081 + 0.269212i \(0.0867632\pi\)
0.0107750 + 0.999942i \(0.496570\pi\)
\(264\) 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 −0.504834 0.863216i \(-0.668446\pi\)
−0.136067 + 0.990700i \(0.543446\pi\)
\(270\) −6.82738 13.7845i −0.415501 0.838895i
\(271\) −16.3725 16.3725i −0.994561 0.994561i 0.00542439 0.999985i \(-0.498273\pi\)
−0.999985 + 0.00542439i \(0.998273\pi\)
\(272\) 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 0.838916 + 0.544261i \(0.183190\pi\)
−0.760699 + 0.649105i \(0.775143\pi\)
\(278\) 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 −0.338100 0.941110i \(-0.609784\pi\)
0.821536 + 0.570156i \(0.193117\pi\)
\(282\) 2.39221 + 3.34484i 0.142454 + 0.199183i
\(283\) −25.2007 + 8.55450i −1.49803 + 0.508512i −0.945679 0.325101i \(-0.894602\pi\)
−0.552349 + 0.833613i \(0.686268\pi\)
\(284\) 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 −0.346783 0.937945i \(-0.612726\pi\)
0.295864 + 0.955230i \(0.404393\pi\)
\(294\) 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 0.211019 0.977482i \(-0.432322\pi\)
0.569022 + 0.822322i \(0.307322\pi\)
\(308\) 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 −0.834686 0.550725i \(-0.814351\pi\)
0.747993 + 0.663707i \(0.231018\pi\)
\(312\) −15.2993 + 7.44197i −0.866150 + 0.421319i
\(313\) 13.2718 + 17.2962i 0.750167 + 0.977637i 0.999956 + 0.00933646i \(0.00297193\pi\)
−0.249789 + 0.968300i \(0.580361\pi\)
\(314\) −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 −0.773099 0.634286i \(-0.781294\pi\)
0.0325800 + 0.999469i \(0.489628\pi\)
\(318\) 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 0.929996 0.367571i \(-0.119810\pi\)
0.970017 + 0.243037i \(0.0781437\pi\)
\(332\) 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 −0.196089 0.980586i \(-0.562824\pi\)
−0.660111 + 0.751168i \(0.729491\pi\)
\(338\) −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 −0.164988 0.986296i \(-0.552758\pi\)
0.469525 + 0.882919i \(0.344425\pi\)
\(348\) −6.96135 + 24.0879i −0.373167 + 1.29125i
\(349\) 2.60451 + 5.28142i 0.139416 + 0.282708i 0.955372 0.295407i \(-0.0954552\pi\)
−0.815955 + 0.578115i \(0.803789\pi\)
\(350\) 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 −0.963407 0.268041i \(-0.913624\pi\)
−0.713834 0.700315i \(-0.753043\pi\)
\(354\) −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 0.790731 0.612164i \(-0.209701\pi\)
0.126265 + 0.991996i \(0.459701\pi\)
\(360\) −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 0.694260 + 0.719725i \(0.255732\pi\)
−0.241384 + 0.970430i \(0.577601\pi\)
\(368\) −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 −0.744399 0.667735i \(-0.767264\pi\)
0.982911 + 0.184080i \(0.0589305\pi\)
\(374\) 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 0.999554 + 0.0298727i \(0.00951019\pi\)
0.934899 + 0.354914i \(0.115490\pi\)
\(380\) −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 0.682391 0.730987i \(-0.260940\pi\)
−0.974249 + 0.225474i \(0.927607\pi\)
\(384\) −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 −0.191309 0.981530i \(-0.561273\pi\)
0.998104 + 0.0615567i \(0.0196065\pi\)
\(390\) 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 −0.325717 0.945467i \(-0.605606\pi\)
0.0608910 + 0.998144i \(0.480606\pi\)
\(398\) 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 0.275146 0.961403i \(-0.411274\pi\)
−0.242418 + 0.970172i \(0.577941\pi\)
\(402\) −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 −0.841697 0.539950i \(-0.818443\pi\)
0.673267 0.739399i \(-0.264890\pi\)
\(410\) −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 0.803211 0.595695i \(-0.203123\pi\)
0.718585 + 0.695439i \(0.244790\pi\)
\(420\) −17.6953 + 4.37287i −0.863443 + 0.213374i
\(421\) −3.16074 2.77189i −0.154045 0.135094i 0.578854 0.815431i \(-0.303500\pi\)
−0.732899 + 0.680337i \(0.761833\pi\)
\(422\) −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 −0.538328 0.842736i \(-0.680944\pi\)
0.842736 + 0.538328i \(0.180944\pi\)
\(432\) 20.7799 + 0.444306i 0.999771 + 0.0213767i
\(433\) −9.05059 9.05059i −0.434943 0.434943i 0.455363 0.890306i \(-0.349510\pi\)
−0.890306 + 0.455363i \(0.849510\pi\)
\(434\) −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 −0.160484 0.987038i \(-0.551306\pi\)
−0.410480 + 0.911870i \(0.634639\pi\)
\(440\) −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 −0.743238 0.669027i \(-0.766711\pi\)
0.760315 + 0.649554i \(0.225045\pi\)
\(444\) 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 0.354330 0.935120i \(-0.384709\pi\)
0.100230 + 0.994964i \(0.468042\pi\)
\(458\) 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 0.502271 + 0.864710i \(0.332498\pi\)
−0.924881 + 0.380257i \(0.875835\pi\)
\(462\) 13.2206 + 7.08225i 0.615078 + 0.329496i
\(463\) 8.48419 31.6634i 0.394294 1.47152i −0.428686 0.903454i \(-0.641023\pi\)
0.822980 0.568071i \(-0.192310\pi\)
\(464\) 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 −0.986011 0.166680i \(-0.946695\pi\)
0.847170 0.531323i \(-0.178305\pi\)
\(468\) −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 −0.0801173 0.996785i \(-0.525529\pi\)
−0.903300 + 0.429009i \(0.858863\pi\)
\(480\) 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 0.254043 0.967193i \(-0.418240\pi\)
−0.504274 + 0.863544i \(0.668240\pi\)
\(488\) 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 0.837874 0.545863i \(-0.183798\pi\)
0.0770032 + 0.997031i \(0.475465\pi\)
\(492\) 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 0.508074 0.861314i \(-0.330358\pi\)
−0.920262 + 0.391303i \(0.872024\pi\)
\(500\) 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 0.995771 0.0918755i \(-0.0292862\pi\)
−0.769082 + 0.639150i \(0.779286\pi\)
\(504\) 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 −0.989944 0.141457i \(-0.954821\pi\)
0.999939 0.0110336i \(-0.00351217\pi\)
\(510\) −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 −0.956161 0.292840i \(-0.905400\pi\)
0.469039 0.883177i \(-0.344600\pi\)
\(522\) −23.4083 + 19.8767i −1.02455 + 0.869979i
\(523\) −5.81777 8.70692i −0.254394 0.380727i 0.682188 0.731177i \(-0.261029\pi\)
−0.936581 + 0.350450i \(0.886029\pi\)
\(524\) −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 −0.888141 0.459572i \(-0.848003\pi\)
0.764466 + 0.644664i \(0.223003\pi\)
\(542\) −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 0.993465 + 0.114140i \(0.0364112\pi\)
−0.514230 + 0.857652i \(0.671922\pi\)
\(548\) 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 0.782005 + 0.623272i \(0.214197\pi\)
−0.483963 + 0.875088i \(0.660803\pi\)
\(558\) −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 0.799423 0.600769i \(-0.205139\pi\)
−0.699975 + 0.714168i \(0.746805\pi\)
\(564\) 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 −0.914237 0.405180i \(-0.867209\pi\)
−0.154751 0.987953i \(-0.549458\pi\)
\(570\) −3.58025 + 4.35435i −0.149960 + 0.182384i
\(571\) 4.45251 + 13.1167i 0.186332 + 0.548916i 0.999449 0.0331837i \(-0.0105647\pi\)
−0.813117 + 0.582100i \(0.802231\pi\)
\(572\) 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 0.00233146 0.999997i \(-0.499258\pi\)
0.132837 + 0.991138i \(0.457591\pi\)
\(588\) 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 −0.716672 0.697410i \(-0.754335\pi\)
0.697410 + 0.716672i \(0.254335\pi\)
\(594\) 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 0.178972 0.983854i \(-0.442723\pi\)
−0.904009 + 0.427514i \(0.859390\pi\)
\(600\) −1.14355 2.80365i −0.0466853 0.114459i
\(601\) 29.4519 22.5992i 1.20137 0.921841i 0.203011 0.979176i \(-0.434927\pi\)
0.998355 + 0.0573355i \(0.0182605\pi\)
\(602\) 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 −0.666014 0.745939i \(-0.732001\pi\)
0.312995 + 0.949755i \(0.398668\pi\)
\(608\) −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 −0.269398 0.963029i \(-0.586825\pi\)
0.617427 0.786628i \(-0.288175\pi\)
\(614\) −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 0.390464 0.920618i \(-0.372314\pi\)
−0.788189 + 0.615433i \(0.788981\pi\)
\(618\) 19.7640 + 37.0581i 0.795026 + 1.49070i
\(619\) 0.781448 + 11.9226i 0.0314091 + 0.479210i 0.984370 + 0.176115i \(0.0563531\pi\)
−0.952961 + 0.303094i \(0.901980\pi\)
\(620\) −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 0.967136 0.254258i \(-0.0818313\pi\)
−0.863656 + 0.504081i \(0.831831\pi\)
\(632\) −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 0.102228 + 0.994761i \(0.467403\pi\)
−0.912602 + 0.408849i \(0.865930\pi\)
\(642\) −2.43862 + 3.39646i −0.0962446 + 0.134048i
\(643\) 1.89740 28.9488i 0.0748263 1.14163i −0.781057 0.624459i \(-0.785319\pi\)
0.855884 0.517169i \(-0.173014\pi\)
\(644\) −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 −0.300636 0.953739i \(-0.597199\pi\)
0.886977 0.461814i \(-0.152801\pi\)
\(648\) 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 0.292362 0.956308i \(-0.405559\pi\)
−0.986287 + 0.165038i \(0.947225\pi\)
\(654\) 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 −0.716134 0.697963i \(-0.754090\pi\)
−0.993040 + 0.117776i \(0.962423\pi\)
\(660\) 6.00336 16.6120i 0.233680 0.646622i
\(661\) 27.5685 + 13.5953i 1.07229 + 0.528795i 0.890706 0.454580i \(-0.150211\pi\)
0.181584 + 0.983375i \(0.441877\pi\)
\(662\) −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 0.769278 0.638914i \(-0.220616\pi\)
−0.168677 + 0.985671i \(0.553949\pi\)
\(674\) 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 0.996194 0.0871597i \(-0.0277790\pi\)
0.0436154 + 0.999048i \(0.486112\pi\)
\(678\) 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 −0.473743 + 0.880663i \(0.657097\pi\)
−0.994920 + 0.100666i \(0.967903\pi\)
\(684\) 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 −0.408943 0.912560i \(-0.634103\pi\)
0.879968 0.475033i \(-0.157564\pi\)
\(692\) −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 0.491630 0.870804i \(-0.336401\pi\)
−0.616379 + 0.787449i \(0.711401\pi\)
\(702\) −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 −0.625742 0.780030i \(-0.715204\pi\)
0.855033 + 0.518574i \(0.173537\pi\)
\(710\) 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 0.999782 0.0208866i \(-0.00664888\pi\)
−0.0208866 + 0.999782i \(0.506649\pi\)
\(720\) 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 −0.917181 0.398472i \(-0.869541\pi\)
0.989060 0.147511i \(-0.0471260\pi\)
\(728\) −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 0.497518 0.867454i \(-0.334245\pi\)
0.380036 + 0.924972i \(0.375912\pi\)
\(734\) 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 −0.726935 0.686707i \(-0.759056\pi\)
0.912620 + 0.408809i \(0.134056\pi\)
\(740\) 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 0.951295 + 0.308282i \(0.0997540\pi\)
−0.839091 + 0.543991i \(0.816913\pi\)
\(744\) 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 0.343464 0.939166i \(-0.388400\pi\)
−0.172135 + 0.985073i \(0.555066\pi\)
\(752\) −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 0.963385 + 0.268123i \(0.0864035\pi\)
−0.120958 + 0.992658i \(0.538597\pi\)
\(758\) −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 −0.869441 0.494037i \(-0.835521\pi\)
−0.711949 + 0.702231i \(0.752187\pi\)
\(762\) 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 0.997082 + 0.0763369i \(0.0243225\pi\)
−0.432431 + 0.901667i \(0.642344\pi\)
\(770\) 18.1024 + 0.930109i 0.652364 + 0.0335188i
\(771\) −7.28380 + 3.16912i −0.262320 + 0.114133i
\(772\) −24.1241 2.48558i −0.868247 0.0894581i