Properties

Label 177.2.e.a.169.4
Level $177$
Weight $2$
Character 177.169
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 169.4
Character \(\chi\) \(=\) 177.169
Dual form 177.2.e.a.22.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.205084 - 1.25096i) q^{2} +(0.267528 - 0.963550i) q^{3} +(0.372473 + 0.125501i) q^{4} +(1.50420 + 2.21853i) q^{5} +(-1.15049 - 0.532275i) q^{6} +(1.03095 - 0.226929i) q^{7} +(1.42095 - 2.68019i) q^{8} +(-0.856857 - 0.515554i) q^{9} +O(q^{10})\) \(q+(0.205084 - 1.25096i) q^{2} +(0.267528 - 0.963550i) q^{3} +(0.372473 + 0.125501i) q^{4} +(1.50420 + 2.21853i) q^{5} +(-1.15049 - 0.532275i) q^{6} +(1.03095 - 0.226929i) q^{7} +(1.42095 - 2.68019i) q^{8} +(-0.856857 - 0.515554i) q^{9} +(3.08377 - 1.42670i) q^{10} +(-3.22993 + 2.45533i) q^{11} +(0.220573 - 0.325321i) q^{12} +(-0.227291 + 0.136757i) q^{13} +(-0.0724472 - 1.33621i) q^{14} +(2.54008 - 0.855852i) q^{15} +(-2.43558 - 1.85148i) q^{16} +(-6.62522 - 1.45832i) q^{17} +(-0.820663 + 0.966159i) q^{18} +(-0.399908 + 0.0434926i) q^{19} +(0.281847 + 1.01512i) q^{20} +(0.0571505 - 1.05408i) q^{21} +(2.40910 + 4.54405i) q^{22} +(-4.63800 - 5.46027i) q^{23} +(-2.20235 - 2.08618i) q^{24} +(-0.808560 + 2.02933i) q^{25} +(0.124463 + 0.312378i) q^{26} +(-0.725995 + 0.687699i) q^{27} +(0.412480 + 0.0448599i) q^{28} +(1.42331 + 8.68183i) q^{29} +(-0.549705 - 3.35305i) q^{30} +(9.46072 + 1.02892i) q^{31} +(1.58908 - 1.50526i) q^{32} +(1.50173 + 3.76907i) q^{33} +(-3.18302 + 7.98879i) q^{34} +(2.05420 + 1.94584i) q^{35} +(-0.254454 - 0.299566i) q^{36} +(0.879831 + 1.65954i) q^{37} +(-0.0276073 + 0.509187i) q^{38} +(0.0709651 + 0.255593i) q^{39} +(8.08346 - 0.879129i) q^{40} +(-2.64570 + 3.11476i) q^{41} +(-1.30689 - 0.287668i) q^{42} +(-3.42236 - 2.60161i) q^{43} +(-1.51121 + 0.509185i) q^{44} +(-0.145113 - 2.67646i) q^{45} +(-7.78174 + 4.68212i) q^{46} +(3.05223 - 4.50170i) q^{47} +(-2.43558 + 1.85148i) q^{48} +(-5.34167 + 2.47132i) q^{49} +(2.37278 + 1.42766i) q^{50} +(-3.17760 + 5.99359i) q^{51} +(-0.101823 + 0.0224129i) q^{52} +(3.99085 + 1.84636i) q^{53} +(0.711392 + 1.04923i) q^{54} +(-10.3057 - 3.47239i) q^{55} +(0.856709 - 3.08559i) q^{56} +(-0.0650793 + 0.396966i) q^{57} +11.1525 q^{58} +(5.55322 - 5.30677i) q^{59} +1.05352 q^{60} +(-0.729413 + 4.44922i) q^{61} +(3.22737 - 11.6239i) q^{62} +(-1.00037 - 0.337064i) q^{63} +(-4.99093 - 7.36107i) q^{64} +(-0.645290 - 0.298543i) q^{65} +(5.02292 - 1.10563i) q^{66} +(1.35703 - 2.55962i) q^{67} +(-2.28470 - 1.37466i) q^{68} +(-6.50204 + 3.00816i) q^{69} +(2.85544 - 2.17065i) q^{70} +(-2.05561 + 3.03180i) q^{71} +(-2.59933 + 1.56396i) q^{72} +(0.589798 + 10.8782i) q^{73} +(2.25645 - 0.760286i) q^{74} +(1.73905 + 1.32199i) q^{75} +(-0.154413 - 0.0339889i) q^{76} +(-2.77270 + 3.26428i) q^{77} +(0.334290 - 0.0363562i) q^{78} +(-2.40950 - 8.67824i) q^{79} +(0.443962 - 8.18840i) q^{80} +(0.468408 + 0.883512i) q^{81} +(3.35384 + 3.94844i) q^{82} +(6.58756 + 6.24007i) q^{83} +(0.153575 - 0.385444i) q^{84} +(-6.73033 - 16.8918i) q^{85} +(-3.95637 + 3.74767i) q^{86} +(8.74615 + 0.951201i) q^{87} +(1.99119 + 12.1457i) q^{88} +(-1.87675 - 11.4477i) q^{89} +(-3.37789 - 0.367368i) q^{90} +(-0.203292 + 0.192568i) q^{91} +(-1.04226 - 2.61588i) q^{92} +(3.52242 - 8.84061i) q^{93} +(-5.00547 - 4.74143i) q^{94} +(-0.698030 - 0.821785i) q^{95} +(-1.02527 - 1.93386i) q^{96} +(0.678027 - 12.5055i) q^{97} +(1.99602 + 7.18903i) q^{98} +(4.03344 - 0.438663i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{16}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.205084 1.25096i 0.145016 0.884560i −0.809657 0.586904i \(-0.800347\pi\)
0.954673 0.297656i \(-0.0962050\pi\)
\(3\) 0.267528 0.963550i 0.154458 0.556306i
\(4\) 0.372473 + 0.125501i 0.186237 + 0.0627504i
\(5\) 1.50420 + 2.21853i 0.672698 + 0.992156i 0.998902 + 0.0468562i \(0.0149202\pi\)
−0.326203 + 0.945300i \(0.605769\pi\)
\(6\) −1.15049 0.532275i −0.469687 0.217300i
\(7\) 1.03095 0.226929i 0.389662 0.0857710i −0.0158185 0.999875i \(-0.505035\pi\)
0.405480 + 0.914104i \(0.367104\pi\)
\(8\) 1.42095 2.68019i 0.502380 0.947590i
\(9\) −0.856857 0.515554i −0.285619 0.171851i
\(10\) 3.08377 1.42670i 0.975174 0.451163i
\(11\) −3.22993 + 2.45533i −0.973860 + 0.740309i −0.965701 0.259657i \(-0.916390\pi\)
−0.00815954 + 0.999967i \(0.502597\pi\)
\(12\) 0.220573 0.325321i 0.0636740 0.0939122i
\(13\) −0.227291 + 0.136757i −0.0630393 + 0.0379295i −0.546725 0.837313i \(-0.684126\pi\)
0.483685 + 0.875242i \(0.339298\pi\)
\(14\) −0.0724472 1.33621i −0.0193623 0.357117i
\(15\) 2.54008 0.855852i 0.655845 0.220980i
\(16\) −2.43558 1.85148i −0.608895 0.462870i
\(17\) −6.62522 1.45832i −1.60685 0.353695i −0.681208 0.732090i \(-0.738545\pi\)
−0.925644 + 0.378395i \(0.876476\pi\)
\(18\) −0.820663 + 0.966159i −0.193432 + 0.227726i
\(19\) −0.399908 + 0.0434926i −0.0917451 + 0.00997788i −0.153876 0.988090i \(-0.549176\pi\)
0.0621313 + 0.998068i \(0.480210\pi\)
\(20\) 0.281847 + 1.01512i 0.0630228 + 0.226988i
\(21\) 0.0571505 1.05408i 0.0124713 0.230019i
\(22\) 2.40910 + 4.54405i 0.513622 + 0.968795i
\(23\) −4.63800 5.46027i −0.967089 1.13855i −0.990318 0.138815i \(-0.955671\pi\)
0.0232295 0.999730i \(-0.492605\pi\)
\(24\) −2.20235 2.08618i −0.449553 0.425839i
\(25\) −0.808560 + 2.02933i −0.161712 + 0.405866i
\(26\) 0.124463 + 0.312378i 0.0244092 + 0.0612625i
\(27\) −0.725995 + 0.687699i −0.139718 + 0.132348i
\(28\) 0.412480 + 0.0448599i 0.0779514 + 0.00847772i
\(29\) 1.42331 + 8.68183i 0.264303 + 1.61217i 0.701405 + 0.712763i \(0.252556\pi\)
−0.437103 + 0.899412i \(0.643995\pi\)
\(30\) −0.549705 3.35305i −0.100362 0.612180i
\(31\) 9.46072 + 1.02892i 1.69920 + 0.184799i 0.905741 0.423831i \(-0.139315\pi\)
0.793454 + 0.608630i \(0.208281\pi\)
\(32\) 1.58908 1.50526i 0.280913 0.266095i
\(33\) 1.50173 + 3.76907i 0.261418 + 0.656111i
\(34\) −3.18302 + 7.98879i −0.545884 + 1.37007i
\(35\) 2.05420 + 1.94584i 0.347223 + 0.328907i
\(36\) −0.254454 0.299566i −0.0424090 0.0499277i
\(37\) 0.879831 + 1.65954i 0.144643 + 0.272826i 0.945239 0.326378i \(-0.105828\pi\)
−0.800596 + 0.599205i \(0.795484\pi\)
\(38\) −0.0276073 + 0.509187i −0.00447850 + 0.0826010i
\(39\) 0.0709651 + 0.255593i 0.0113635 + 0.0409276i
\(40\) 8.08346 0.879129i 1.27811 0.139003i
\(41\) −2.64570 + 3.11476i −0.413189 + 0.486443i −0.928906 0.370315i \(-0.879250\pi\)
0.515717 + 0.856759i \(0.327525\pi\)
\(42\) −1.30689 0.287668i −0.201657 0.0443881i
\(43\) −3.42236 2.60161i −0.521904 0.396741i 0.310786 0.950480i \(-0.399408\pi\)
−0.832691 + 0.553738i \(0.813201\pi\)
\(44\) −1.51121 + 0.509185i −0.227823 + 0.0767625i
\(45\) −0.145113 2.67646i −0.0216322 0.398983i
\(46\) −7.78174 + 4.68212i −1.14735 + 0.690341i
\(47\) 3.05223 4.50170i 0.445213 0.656641i −0.537179 0.843468i \(-0.680510\pi\)
0.982393 + 0.186827i \(0.0598205\pi\)
\(48\) −2.43558 + 1.85148i −0.351546 + 0.267238i
\(49\) −5.34167 + 2.47132i −0.763096 + 0.353046i
\(50\) 2.37278 + 1.42766i 0.335562 + 0.201901i
\(51\) −3.17760 + 5.99359i −0.444953 + 0.839271i
\(52\) −0.101823 + 0.0224129i −0.0141203 + 0.00310812i
\(53\) 3.99085 + 1.84636i 0.548185 + 0.253617i 0.674375 0.738389i \(-0.264413\pi\)
−0.126191 + 0.992006i \(0.540275\pi\)
\(54\) 0.711392 + 1.04923i 0.0968082 + 0.142781i
\(55\) −10.3057 3.47239i −1.38962 0.468216i
\(56\) 0.856709 3.08559i 0.114483 0.412329i
\(57\) −0.0650793 + 0.396966i −0.00861997 + 0.0525795i
\(58\) 11.1525 1.46439
\(59\) 5.55322 5.30677i 0.722967 0.690883i
\(60\) 1.05352 0.136009
\(61\) −0.729413 + 4.44922i −0.0933918 + 0.569665i 0.898131 + 0.439729i \(0.144925\pi\)
−0.991522 + 0.129936i \(0.958523\pi\)
\(62\) 3.22737 11.6239i 0.409876 1.47624i
\(63\) −1.00037 0.337064i −0.126035 0.0424660i
\(64\) −4.99093 7.36107i −0.623866 0.920134i
\(65\) −0.645290 0.298543i −0.0800384 0.0370297i
\(66\) 5.02292 1.10563i 0.618279 0.136094i
\(67\) 1.35703 2.55962i 0.165787 0.312708i −0.786673 0.617369i \(-0.788198\pi\)
0.952461 + 0.304661i \(0.0985433\pi\)
\(68\) −2.28470 1.37466i −0.277060 0.166702i
\(69\) −6.50204 + 3.00816i −0.782753 + 0.362140i
\(70\) 2.85544 2.17065i 0.341291 0.259443i
\(71\) −2.05561 + 3.03180i −0.243956 + 0.359809i −0.929879 0.367866i \(-0.880089\pi\)
0.685922 + 0.727675i \(0.259399\pi\)
\(72\) −2.59933 + 1.56396i −0.306334 + 0.184315i
\(73\) 0.589798 + 10.8782i 0.0690306 + 1.27319i 0.803809 + 0.594887i \(0.202803\pi\)
−0.734779 + 0.678307i \(0.762714\pi\)
\(74\) 2.25645 0.760286i 0.262307 0.0883815i
\(75\) 1.73905 + 1.32199i 0.200808 + 0.152650i
\(76\) −0.154413 0.0339889i −0.0177124 0.00389879i
\(77\) −2.77270 + 3.26428i −0.315979 + 0.371999i
\(78\) 0.334290 0.0363562i 0.0378508 0.00411653i
\(79\) −2.40950 8.67824i −0.271090 0.976379i −0.966268 0.257540i \(-0.917088\pi\)
0.695177 0.718838i \(-0.255326\pi\)
\(80\) 0.443962 8.18840i 0.0496365 0.915491i
\(81\) 0.468408 + 0.883512i 0.0520454 + 0.0981680i
\(82\) 3.35384 + 3.94844i 0.370369 + 0.436032i
\(83\) 6.58756 + 6.24007i 0.723078 + 0.684936i 0.957900 0.287102i \(-0.0926920\pi\)
−0.234822 + 0.972038i \(0.575451\pi\)
\(84\) 0.153575 0.385444i 0.0167564 0.0420554i
\(85\) −6.73033 16.8918i −0.730006 1.83218i
\(86\) −3.95637 + 3.74767i −0.426626 + 0.404122i
\(87\) 8.74615 + 0.951201i 0.937686 + 0.101979i
\(88\) 1.99119 + 12.1457i 0.212261 + 1.29474i
\(89\) −1.87675 11.4477i −0.198935 1.21345i −0.877741 0.479135i \(-0.840951\pi\)
0.678806 0.734318i \(-0.262498\pi\)
\(90\) −3.37789 0.367368i −0.356061 0.0387240i
\(91\) −0.203292 + 0.192568i −0.0213107 + 0.0201866i
\(92\) −1.04226 2.61588i −0.108663 0.272724i
\(93\) 3.52242 8.84061i 0.365258 0.916729i
\(94\) −5.00547 4.74143i −0.516275 0.489042i
\(95\) −0.698030 0.821785i −0.0716164 0.0843133i
\(96\) −1.02527 1.93386i −0.104641 0.197374i
\(97\) 0.678027 12.5055i 0.0688432 1.26974i −0.736299 0.676656i \(-0.763428\pi\)
0.805142 0.593082i \(-0.202089\pi\)
\(98\) 1.99602 + 7.18903i 0.201629 + 0.726202i
\(99\) 4.03344 0.438663i 0.405376 0.0440873i
\(100\) −0.555849 + 0.654397i −0.0555849 + 0.0654397i
\(101\) 3.07414 + 0.676669i 0.305888 + 0.0673311i 0.365262 0.930905i \(-0.380979\pi\)
−0.0593739 + 0.998236i \(0.518910\pi\)
\(102\) 6.84605 + 5.20423i 0.677860 + 0.515296i
\(103\) 3.55318 1.19721i 0.350105 0.117964i −0.138754 0.990327i \(-0.544310\pi\)
0.488859 + 0.872363i \(0.337413\pi\)
\(104\) 0.0435649 + 0.803508i 0.00427189 + 0.0787904i
\(105\) 2.42447 1.45876i 0.236604 0.142360i
\(106\) 3.12818 4.61372i 0.303835 0.448124i
\(107\) −8.18743 + 6.22392i −0.791509 + 0.601689i −0.920853 0.389911i \(-0.872506\pi\)
0.129344 + 0.991600i \(0.458713\pi\)
\(108\) −0.356721 + 0.165037i −0.0343255 + 0.0158806i
\(109\) −9.68442 5.82692i −0.927599 0.558118i −0.0303002 0.999541i \(-0.509646\pi\)
−0.897299 + 0.441423i \(0.854474\pi\)
\(110\) −6.45733 + 12.1798i −0.615682 + 1.16130i
\(111\) 1.83443 0.403788i 0.174116 0.0383259i
\(112\) −2.93111 1.35608i −0.276964 0.128137i
\(113\) 4.99500 + 7.36707i 0.469890 + 0.693036i 0.986606 0.163121i \(-0.0521561\pi\)
−0.516716 + 0.856157i \(0.672846\pi\)
\(114\) 0.483241 + 0.162823i 0.0452597 + 0.0152498i
\(115\) 5.13729 18.5029i 0.479055 1.72540i
\(116\) −0.559430 + 3.41237i −0.0519418 + 0.316831i
\(117\) 0.265262 0.0245235
\(118\) −5.49966 8.03516i −0.506285 0.739697i
\(119\) −7.16119 −0.656465
\(120\) 1.31547 8.02401i 0.120085 0.732488i
\(121\) 1.46099 5.26203i 0.132818 0.478366i
\(122\) 5.41620 + 1.82493i 0.490359 + 0.165221i
\(123\) 2.29342 + 3.38255i 0.206791 + 0.304994i
\(124\) 3.39473 + 1.57057i 0.304856 + 0.141041i
\(125\) 7.37025 1.62231i 0.659215 0.145104i
\(126\) −0.626811 + 1.18229i −0.0558408 + 0.105327i
\(127\) 11.1374 + 6.70113i 0.988281 + 0.594629i 0.915329 0.402707i \(-0.131931\pi\)
0.0729517 + 0.997335i \(0.476758\pi\)
\(128\) −6.25888 + 2.89567i −0.553212 + 0.255943i
\(129\) −3.42236 + 2.60161i −0.301322 + 0.229059i
\(130\) −0.505803 + 0.746004i −0.0443619 + 0.0654289i
\(131\) 15.5375 9.34861i 1.35752 0.816792i 0.364104 0.931358i \(-0.381375\pi\)
0.993416 + 0.114566i \(0.0365479\pi\)
\(132\) 0.0863344 + 1.59235i 0.00751445 + 0.138596i
\(133\) −0.402414 + 0.135589i −0.0348937 + 0.0117571i
\(134\) −2.92368 2.22252i −0.252567 0.191996i
\(135\) −2.61772 0.576204i −0.225298 0.0495918i
\(136\) −13.3227 + 15.6846i −1.14241 + 1.34495i
\(137\) 3.20514 0.348580i 0.273834 0.0297812i 0.0298281 0.999555i \(-0.490504\pi\)
0.244006 + 0.969774i \(0.421538\pi\)
\(138\) 2.42962 + 8.75069i 0.206823 + 0.744909i
\(139\) −0.566553 + 10.4495i −0.0480544 + 0.886312i 0.870781 + 0.491671i \(0.163614\pi\)
−0.918836 + 0.394641i \(0.870869\pi\)
\(140\) 0.520929 + 0.982576i 0.0440265 + 0.0830429i
\(141\) −3.52106 4.14531i −0.296527 0.349098i
\(142\) 3.37108 + 3.19326i 0.282895 + 0.267972i
\(143\) 0.398353 0.999790i 0.0333119 0.0836066i
\(144\) 1.13241 + 2.84213i 0.0943673 + 0.236844i
\(145\) −17.1199 + 16.2169i −1.42173 + 1.34674i
\(146\) 13.7291 + 1.49313i 1.13623 + 0.123572i
\(147\) 0.952192 + 5.80812i 0.0785355 + 0.479045i
\(148\) 0.119440 + 0.728553i 0.00981792 + 0.0598867i
\(149\) −8.75034 0.951657i −0.716856 0.0779628i −0.257581 0.966257i \(-0.582925\pi\)
−0.459275 + 0.888294i \(0.651891\pi\)
\(150\) 2.01041 1.90436i 0.164149 0.155490i
\(151\) −3.48505 8.74682i −0.283609 0.711806i −0.999902 0.0140057i \(-0.995542\pi\)
0.716293 0.697800i \(-0.245838\pi\)
\(152\) −0.451679 + 1.13363i −0.0366360 + 0.0919494i
\(153\) 4.92503 + 4.66523i 0.398165 + 0.377162i
\(154\) 3.51483 + 4.13798i 0.283233 + 0.333448i
\(155\) 11.9481 + 22.5366i 0.959697 + 1.81018i
\(156\) −0.00564455 + 0.104108i −0.000451926 + 0.00833529i
\(157\) −3.41863 12.3128i −0.272837 0.982668i −0.965285 0.261201i \(-0.915882\pi\)
0.692448 0.721468i \(-0.256532\pi\)
\(158\) −11.3503 + 1.23442i −0.902978 + 0.0982048i
\(159\) 2.84673 3.35143i 0.225760 0.265785i
\(160\) 5.72976 + 1.26122i 0.452977 + 0.0997078i
\(161\) −6.02062 4.57676i −0.474492 0.360699i
\(162\) 1.20130 0.404765i 0.0943829 0.0318013i
\(163\) −0.134142 2.47410i −0.0105068 0.193786i −0.999075 0.0430098i \(-0.986305\pi\)
0.988568 0.150777i \(-0.0481774\pi\)
\(164\) −1.37636 + 0.828126i −0.107475 + 0.0646658i
\(165\) −6.10288 + 9.00107i −0.475108 + 0.700732i
\(166\) 9.15705 6.96101i 0.710725 0.540279i
\(167\) −3.25483 + 1.50584i −0.251866 + 0.116526i −0.541760 0.840533i \(-0.682242\pi\)
0.289894 + 0.957059i \(0.406380\pi\)
\(168\) −2.74392 1.65096i −0.211698 0.127375i
\(169\) −6.05635 + 11.4235i −0.465873 + 0.878730i
\(170\) −22.5113 + 4.95510i −1.72653 + 0.380039i
\(171\) 0.365086 + 0.168907i 0.0279189 + 0.0129166i
\(172\) −0.948232 1.39854i −0.0723020 0.106637i
\(173\) 7.03658 + 2.37090i 0.534982 + 0.180256i 0.573808 0.818990i \(-0.305465\pi\)
−0.0388266 + 0.999246i \(0.512362\pi\)
\(174\) 2.98361 10.7460i 0.226187 0.814651i
\(175\) −0.373069 + 2.27562i −0.0282014 + 0.172021i
\(176\) 12.4127 0.935646
\(177\) −3.62770 6.77051i −0.272674 0.508903i
\(178\) −14.7055 −1.10222
\(179\) 3.41903 20.8552i 0.255551 1.55879i −0.477510 0.878626i \(-0.658461\pi\)
0.733061 0.680163i \(-0.238091\pi\)
\(180\) 0.281847 1.01512i 0.0210076 0.0756626i
\(181\) 4.89741 + 1.65013i 0.364022 + 0.122653i 0.495368 0.868683i \(-0.335033\pi\)
−0.131346 + 0.991337i \(0.541930\pi\)
\(182\) 0.199202 + 0.293802i 0.0147659 + 0.0217780i
\(183\) 4.09191 + 1.89312i 0.302483 + 0.139943i
\(184\) −21.2249 + 4.67195i −1.56472 + 0.344421i
\(185\) −2.35829 + 4.44821i −0.173385 + 0.327039i
\(186\) −10.3368 6.21946i −0.757933 0.456033i
\(187\) 24.9797 11.5568i 1.82669 0.845118i
\(188\) 1.70184 1.29371i 0.124119 0.0943532i
\(189\) −0.592405 + 0.873731i −0.0430911 + 0.0635546i
\(190\) −1.17117 + 0.704671i −0.0849657 + 0.0511222i
\(191\) 1.26916 + 23.4082i 0.0918329 + 1.69376i 0.574939 + 0.818196i \(0.305026\pi\)
−0.483107 + 0.875562i \(0.660492\pi\)
\(192\) −8.42798 + 2.83972i −0.608237 + 0.204939i
\(193\) 13.1646 + 10.0074i 0.947606 + 0.720352i 0.960125 0.279570i \(-0.0901919\pi\)
−0.0125191 + 0.999922i \(0.503985\pi\)
\(194\) −15.5047 3.41285i −1.11318 0.245029i
\(195\) −0.460295 + 0.541901i −0.0329624 + 0.0388063i
\(196\) −2.29978 + 0.250116i −0.164270 + 0.0178654i
\(197\) 0.0343143 + 0.123589i 0.00244479 + 0.00880533i 0.964762 0.263123i \(-0.0847525\pi\)
−0.962318 + 0.271928i \(0.912339\pi\)
\(198\) 0.278445 5.13562i 0.0197883 0.364973i
\(199\) −11.3998 21.5022i −0.808107 1.52425i −0.850996 0.525172i \(-0.824001\pi\)
0.0428888 0.999080i \(-0.486344\pi\)
\(200\) 4.29007 + 5.05066i 0.303354 + 0.357136i
\(201\) −2.10328 1.99234i −0.148354 0.140529i
\(202\) 1.47694 3.70684i 0.103917 0.260812i
\(203\) 3.43752 + 8.62752i 0.241266 + 0.605533i
\(204\) −1.93577 + 1.83366i −0.135531 + 0.128382i
\(205\) −10.8898 1.18434i −0.760579 0.0827179i
\(206\) −0.768952 4.69040i −0.0535754 0.326796i
\(207\) 1.15904 + 7.06981i 0.0805586 + 0.491386i
\(208\) 0.806789 + 0.0877436i 0.0559408 + 0.00608393i
\(209\) 1.18488 1.12238i 0.0819602 0.0776368i
\(210\) −1.32762 3.33207i −0.0916145 0.229935i
\(211\) −6.40946 + 16.0865i −0.441245 + 1.10744i 0.525293 + 0.850921i \(0.323956\pi\)
−0.966539 + 0.256521i \(0.917424\pi\)
\(212\) 1.25476 + 1.18857i 0.0861774 + 0.0816316i
\(213\) 2.37136 + 2.79178i 0.162483 + 0.191290i
\(214\) 6.10675 + 11.5185i 0.417449 + 0.787391i
\(215\) 0.623833 11.5059i 0.0425451 0.784698i
\(216\) 0.811564 + 2.92299i 0.0552199 + 0.198884i
\(217\) 9.98700 1.08615i 0.677961 0.0737328i
\(218\) −9.27535 + 10.9198i −0.628206 + 0.739581i
\(219\) 10.6395 + 2.34192i 0.718948 + 0.158252i
\(220\) −3.40280 2.58674i −0.229417 0.174398i
\(221\) 1.70529 0.574580i 0.114710 0.0386504i
\(222\) −0.128910 2.37760i −0.00865185 0.159574i
\(223\) −4.01955 + 2.41848i −0.269169 + 0.161953i −0.643739 0.765245i \(-0.722618\pi\)
0.374570 + 0.927198i \(0.377790\pi\)
\(224\) 1.29668 1.91245i 0.0866378 0.127781i
\(225\) 1.73905 1.32199i 0.115937 0.0881328i
\(226\) 10.2403 4.73766i 0.681174 0.315144i
\(227\) −16.5273 9.94416i −1.09696 0.660017i −0.152385 0.988321i \(-0.548695\pi\)
−0.944572 + 0.328304i \(0.893523\pi\)
\(228\) −0.0740599 + 0.139692i −0.00490474 + 0.00925132i
\(229\) −8.26995 + 1.82035i −0.546494 + 0.120292i −0.479632 0.877470i \(-0.659230\pi\)
−0.0668620 + 0.997762i \(0.521299\pi\)
\(230\) −22.0927 10.2212i −1.45675 0.673964i
\(231\) 2.40352 + 3.54493i 0.158140 + 0.233239i
\(232\) 25.2914 + 8.52166i 1.66046 + 0.559474i
\(233\) 7.34052 26.4381i 0.480893 1.73202i −0.181992 0.983300i \(-0.558255\pi\)
0.662886 0.748721i \(-0.269332\pi\)
\(234\) 0.0544009 0.331831i 0.00355630 0.0216925i
\(235\) 14.5783 0.950984
\(236\) 2.73443 1.27970i 0.177996 0.0833011i
\(237\) −9.00653 −0.585037
\(238\) −1.46865 + 8.95834i −0.0951981 + 0.580683i
\(239\) −3.83415 + 13.8094i −0.248011 + 0.893254i 0.729782 + 0.683680i \(0.239621\pi\)
−0.977793 + 0.209574i \(0.932792\pi\)
\(240\) −7.77116 2.61841i −0.501626 0.169018i
\(241\) 16.5470 + 24.4050i 1.06589 + 1.57207i 0.792215 + 0.610242i \(0.208928\pi\)
0.273672 + 0.961823i \(0.411762\pi\)
\(242\) −6.28294 2.90680i −0.403883 0.186856i
\(243\) 0.976621 0.214970i 0.0626502 0.0137904i
\(244\) −0.830068 + 1.56567i −0.0531397 + 0.100232i
\(245\) −13.5176 8.13329i −0.863610 0.519617i
\(246\) 4.70177 2.17527i 0.299774 0.138690i
\(247\) 0.0849477 0.0645756i 0.00540509 0.00410884i
\(248\) 16.2009 23.8945i 1.02876 1.51730i
\(249\) 7.77497 4.67805i 0.492719 0.296459i
\(250\) −0.517925 9.55257i −0.0327565 0.604158i
\(251\) 22.1588 7.46617i 1.39865 0.471260i 0.483845 0.875154i \(-0.339240\pi\)
0.914806 + 0.403894i \(0.132343\pi\)
\(252\) −0.330309 0.251094i −0.0208075 0.0158174i
\(253\) 28.3872 + 6.24849i 1.78469 + 0.392839i
\(254\) 10.6669 12.5581i 0.669302 0.787963i
\(255\) −18.0767 + 1.96596i −1.13201 + 0.123113i
\(256\) −2.41978 8.71527i −0.151236 0.544704i
\(257\) 1.30090 23.9936i 0.0811478 1.49668i −0.620527 0.784185i \(-0.713081\pi\)
0.701675 0.712497i \(-0.252436\pi\)
\(258\) 2.55263 + 4.81477i 0.158920 + 0.299754i
\(259\) 1.28366 + 1.51124i 0.0797626 + 0.0939037i
\(260\) −0.202886 0.192184i −0.0125824 0.0119187i
\(261\) 3.25637 8.17288i 0.201564 0.505889i
\(262\) −8.50822 21.3540i −0.525639 1.31926i
\(263\) 4.93121 4.67109i 0.304072 0.288032i −0.520415 0.853914i \(-0.674223\pi\)
0.824487 + 0.565882i \(0.191464\pi\)
\(264\) 12.2357 + 1.33071i 0.753055 + 0.0818997i
\(265\) 1.90682 + 11.6311i 0.117135 + 0.714493i
\(266\) 0.0870874 + 0.531210i 0.00533967 + 0.0325706i
\(267\) −11.5325 1.25424i −0.705778 0.0767580i
\(268\) 0.826691 0.783083i 0.0504982 0.0478344i
\(269\) −5.69036 14.2817i −0.346947 0.870772i −0.994106 0.108417i \(-0.965422\pi\)
0.647158 0.762356i \(-0.275957\pi\)
\(270\) −1.25766 + 3.15649i −0.0765387 + 0.192098i
\(271\) −20.9367 19.8323i −1.27181 1.20472i −0.967705 0.252087i \(-0.918883\pi\)
−0.304108 0.952638i \(-0.598358\pi\)
\(272\) 13.4362 + 15.8183i 0.814690 + 0.959127i
\(273\) 0.131163 + 0.247399i 0.00793833 + 0.0149733i
\(274\) 0.221264 4.08098i 0.0133671 0.246541i
\(275\) −2.37109 8.53988i −0.142982 0.514974i
\(276\) −2.79936 + 0.304449i −0.168502 + 0.0183257i
\(277\) −19.9403 + 23.4756i −1.19810 + 1.41051i −0.310073 + 0.950713i \(0.600354\pi\)
−0.888024 + 0.459797i \(0.847922\pi\)
\(278\) 12.9556 + 2.85175i 0.777027 + 0.171037i
\(279\) −7.57602 5.75914i −0.453565 0.344791i
\(280\) 8.13412 2.74070i 0.486107 0.163788i
\(281\) 0.812140 + 14.9790i 0.0484482 + 0.893575i 0.917225 + 0.398370i \(0.130424\pi\)
−0.868776 + 0.495204i \(0.835093\pi\)
\(282\) −5.90771 + 3.55455i −0.351799 + 0.211671i
\(283\) −0.496331 + 0.732034i −0.0295038 + 0.0435149i −0.842155 0.539236i \(-0.818713\pi\)
0.812651 + 0.582751i \(0.198024\pi\)
\(284\) −1.14615 + 0.871284i −0.0680117 + 0.0517012i
\(285\) −0.978573 + 0.452736i −0.0579657 + 0.0268178i
\(286\) −1.16900 0.703363i −0.0691243 0.0415907i
\(287\) −2.02075 + 3.81154i −0.119281 + 0.224988i
\(288\) −2.13766 + 0.470535i −0.125963 + 0.0277265i
\(289\) 26.3381 + 12.1853i 1.54930 + 0.716782i
\(290\) 16.7756 + 24.7421i 0.985095 + 1.45291i
\(291\) −11.8683 3.99888i −0.695729 0.234419i
\(292\) −1.14554 + 4.12585i −0.0670374 + 0.241447i
\(293\) 2.35349 14.3556i 0.137492 0.838665i −0.824555 0.565782i \(-0.808574\pi\)
0.962047 0.272883i \(-0.0879772\pi\)
\(294\) 7.46098 0.435133
\(295\) 20.1264 + 4.33752i 1.17180 + 0.252540i
\(296\) 5.69807 0.331193
\(297\) 0.656386 4.00378i 0.0380874 0.232323i
\(298\) −2.98504 + 10.7511i −0.172919 + 0.622796i
\(299\) 1.80091 + 0.606796i 0.104149 + 0.0350919i
\(300\) 0.481838 + 0.710658i 0.0278189 + 0.0410299i
\(301\) −4.11865 1.90549i −0.237395 0.109831i
\(302\) −11.6566 + 2.56581i −0.670763 + 0.147646i
\(303\) 1.47442 2.78106i 0.0847034 0.159768i
\(304\) 1.05453 + 0.634492i 0.0604816 + 0.0363906i
\(305\) −10.9679 + 5.07430i −0.628021 + 0.290553i
\(306\) 6.84605 5.20423i 0.391362 0.297506i
\(307\) 1.78093 2.62668i 0.101643 0.149912i −0.773466 0.633837i \(-0.781479\pi\)
0.875109 + 0.483925i \(0.160789\pi\)
\(308\) −1.44243 + 0.867879i −0.0821899 + 0.0494520i
\(309\) −0.202991 3.74395i −0.0115478 0.212986i
\(310\) 30.6426 10.3247i 1.74038 0.586404i
\(311\) 18.5022 + 14.0650i 1.04916 + 0.797553i 0.979788 0.200037i \(-0.0641064\pi\)
0.0693751 + 0.997591i \(0.477899\pi\)
\(312\) 0.785875 + 0.172984i 0.0444914 + 0.00979330i
\(313\) −1.55647 + 1.83241i −0.0879766 + 0.103574i −0.804389 0.594103i \(-0.797507\pi\)
0.716412 + 0.697677i \(0.245783\pi\)
\(314\) −16.1039 + 1.75140i −0.908795 + 0.0988374i
\(315\) −0.756969 2.72636i −0.0426504 0.153613i
\(316\) 0.191652 3.53481i 0.0107812 0.198848i
\(317\) −3.66083 6.90507i −0.205613 0.387827i 0.759163 0.650901i \(-0.225609\pi\)
−0.964776 + 0.263074i \(0.915264\pi\)
\(318\) −3.60867 4.24845i −0.202364 0.238242i
\(319\) −25.9139 24.5470i −1.45090 1.37437i
\(320\) 8.82339 22.1450i 0.493242 1.23795i
\(321\) 3.80669 + 9.55407i 0.212469 + 0.533256i
\(322\) −6.96006 + 6.59292i −0.387869 + 0.367409i
\(323\) 2.71290 + 0.295046i 0.150950 + 0.0164168i
\(324\) 0.0635881 + 0.387870i 0.00353267 + 0.0215483i
\(325\) −0.0937461 0.571826i −0.00520010 0.0317192i
\(326\) −3.12250 0.339593i −0.172939 0.0188083i
\(327\) −8.20539 + 7.77256i −0.453759 + 0.429823i
\(328\) 4.58874 + 11.5169i 0.253371 + 0.635913i
\(329\) 2.12512 5.33366i 0.117162 0.294054i
\(330\) 10.0083 + 9.48041i 0.550941 + 0.521879i
\(331\) −6.52777 7.68509i −0.358799 0.422410i 0.552914 0.833238i \(-0.313516\pi\)
−0.911713 + 0.410828i \(0.865240\pi\)
\(332\) 1.67055 + 3.15100i 0.0916836 + 0.172934i
\(333\) 0.101691 1.87559i 0.00557265 0.102782i
\(334\) 1.21623 + 4.38047i 0.0665493 + 0.239689i
\(335\) 7.71984 0.839583i 0.421780 0.0458713i
\(336\) −2.09080 + 2.46148i −0.114063 + 0.134285i
\(337\) −9.83711 2.16531i −0.535862 0.117952i −0.0612084 0.998125i \(-0.519495\pi\)
−0.474653 + 0.880173i \(0.657426\pi\)
\(338\) 13.0482 + 9.91901i 0.709730 + 0.539523i
\(339\) 8.43485 2.84203i 0.458118 0.154358i
\(340\) −0.386925 7.13642i −0.0209840 0.387027i
\(341\) −33.0838 + 19.9058i −1.79159 + 1.07796i
\(342\) 0.286169 0.422067i 0.0154742 0.0228228i
\(343\) −10.8288 + 8.23185i −0.584701 + 0.444478i
\(344\) −11.8358 + 5.47582i −0.638143 + 0.295236i
\(345\) −16.4541 9.90008i −0.885857 0.533002i
\(346\) 4.40899 8.31623i 0.237029 0.447083i
\(347\) −10.8020 + 2.37770i −0.579882 + 0.127642i −0.495219 0.868768i \(-0.664912\pi\)
−0.0846625 + 0.996410i \(0.526981\pi\)
\(348\) 3.13833 + 1.45195i 0.168232 + 0.0778324i
\(349\) 14.1332 + 20.8449i 0.756534 + 1.11580i 0.989671 + 0.143360i \(0.0457907\pi\)
−0.233137 + 0.972444i \(0.574899\pi\)
\(350\) 2.77019 + 0.933386i 0.148073 + 0.0498916i
\(351\) 0.0709651 0.255593i 0.00378783 0.0136425i
\(352\) −1.43672 + 8.76361i −0.0765774 + 0.467102i
\(353\) −22.2170 −1.18249 −0.591245 0.806492i \(-0.701364\pi\)
−0.591245 + 0.806492i \(0.701364\pi\)
\(354\) −9.21360 + 3.14957i −0.489697 + 0.167398i
\(355\) −9.81819 −0.521095
\(356\) 0.737654 4.49949i 0.0390956 0.238472i
\(357\) −1.91582 + 6.90017i −0.101396 + 0.365196i
\(358\) −25.3877 8.55412i −1.34178 0.452100i
\(359\) −11.2642 16.6135i −0.594502 0.876825i 0.404791 0.914409i \(-0.367344\pi\)
−0.999293 + 0.0375838i \(0.988034\pi\)
\(360\) −7.37961 3.41417i −0.388939 0.179943i
\(361\) −18.3978 + 4.04965i −0.968303 + 0.213140i
\(362\) 3.06862 5.78803i 0.161283 0.304212i
\(363\) −4.67937 2.81548i −0.245603 0.147774i
\(364\) −0.0998881 + 0.0462131i −0.00523556 + 0.00242223i
\(365\) −23.2464 + 17.6714i −1.21677 + 0.924965i
\(366\) 3.20740 4.73056i 0.167653 0.247270i
\(367\) −8.29539 + 4.99117i −0.433016 + 0.260537i −0.715332 0.698784i \(-0.753725\pi\)
0.282317 + 0.959321i \(0.408897\pi\)
\(368\) 1.18663 + 21.8861i 0.0618573 + 1.14089i
\(369\) 3.87281 1.30490i 0.201610 0.0679305i
\(370\) 5.08087 + 3.86237i 0.264142 + 0.200795i
\(371\) 4.53335 + 0.997865i 0.235360 + 0.0518066i
\(372\) 2.42151 2.85082i 0.125549 0.147808i
\(373\) −13.9952 + 1.52206i −0.724641 + 0.0788095i −0.463003 0.886357i \(-0.653228\pi\)
−0.261638 + 0.965166i \(0.584263\pi\)
\(374\) −9.33416 33.6186i −0.482658 1.73838i
\(375\) 0.408569 7.53562i 0.0210984 0.389138i
\(376\) −7.72836 14.5772i −0.398560 0.751763i
\(377\) −1.51081 1.77866i −0.0778104 0.0916055i
\(378\) 0.971507 + 0.920261i 0.0499690 + 0.0473331i
\(379\) 8.85419 22.2224i 0.454809 1.14149i −0.505569 0.862786i \(-0.668717\pi\)
0.960378 0.278699i \(-0.0899033\pi\)
\(380\) −0.156863 0.393696i −0.00804689 0.0201962i
\(381\) 9.43643 8.93866i 0.483443 0.457941i
\(382\) 29.5429 + 3.21299i 1.51155 + 0.164391i
\(383\) 3.72648 + 22.7305i 0.190414 + 1.16147i 0.893061 + 0.449936i \(0.148553\pi\)
−0.702647 + 0.711539i \(0.747999\pi\)
\(384\) 1.11569 + 6.80542i 0.0569349 + 0.347287i
\(385\) −11.4126 1.24119i −0.581640 0.0632571i
\(386\) 15.2187 14.4159i 0.774612 0.733752i
\(387\) 1.59120 + 3.99362i 0.0808853 + 0.203007i
\(388\) 1.82199 4.57286i 0.0924977 0.232152i
\(389\) 15.9193 + 15.0796i 0.807142 + 0.764565i 0.975227 0.221207i \(-0.0709998\pi\)
−0.168085 + 0.985772i \(0.553758\pi\)
\(390\) 0.583495 + 0.686944i 0.0295464 + 0.0347848i
\(391\) 22.7649 + 42.9392i 1.15127 + 2.17153i
\(392\) −0.966622 + 17.8283i −0.0488218 + 0.900465i
\(393\) −4.85113 17.4722i −0.244707 0.881356i
\(394\) 0.161641 0.0175796i 0.00814338 0.000885646i
\(395\) 15.6286 18.3994i 0.786358 0.925772i
\(396\) 1.55740 + 0.342810i 0.0782623 + 0.0172268i
\(397\) 19.6764 + 14.9576i 0.987528 + 0.750699i 0.968473 0.249119i \(-0.0801412\pi\)
0.0190549 + 0.999818i \(0.493934\pi\)
\(398\) −29.2363 + 9.85084i −1.46548 + 0.493778i
\(399\) 0.0229897 + 0.424020i 0.00115092 + 0.0212276i
\(400\) 5.72658 3.44557i 0.286329 0.172279i
\(401\) −18.3765 + 27.1033i −0.917679 + 1.35348i 0.0177053 + 0.999843i \(0.494364\pi\)
−0.935384 + 0.353632i \(0.884946\pi\)
\(402\) −2.92368 + 2.22252i −0.145820 + 0.110849i
\(403\) −2.29105 + 1.05995i −0.114125 + 0.0528000i
\(404\) 1.06011 + 0.637848i 0.0527425 + 0.0317341i
\(405\) −1.25552 + 2.36816i −0.0623871 + 0.117675i
\(406\) 11.4976 2.53082i 0.570618 0.125602i
\(407\) −6.91650 3.19992i −0.342838 0.158614i
\(408\) 11.5488 + 17.0331i 0.571748 + 0.843266i
\(409\) −7.38792 2.48928i −0.365309 0.123087i 0.130660 0.991427i \(-0.458290\pi\)
−0.495969 + 0.868340i \(0.665187\pi\)
\(410\) −3.71489 + 13.3798i −0.183465 + 0.660782i
\(411\) 0.521592 3.18157i 0.0257282 0.156935i
\(412\) 1.47371 0.0726047
\(413\) 4.52082 6.73119i 0.222455 0.331220i
\(414\) 9.08172 0.446342
\(415\) −3.93476 + 24.0010i −0.193150 + 1.17816i
\(416\) −0.155331 + 0.559451i −0.00761572 + 0.0274293i
\(417\) 9.91701 + 3.34143i 0.485638 + 0.163630i
\(418\) −1.16105 1.71242i −0.0567889 0.0837573i
\(419\) 4.06762 + 1.88188i 0.198716 + 0.0919359i 0.516723 0.856152i \(-0.327152\pi\)
−0.318007 + 0.948088i \(0.603014\pi\)
\(420\) 1.08612 0.239074i 0.0529975 0.0116656i
\(421\) 4.32148 8.15118i 0.210616 0.397264i −0.755586 0.655049i \(-0.772648\pi\)
0.966202 + 0.257785i \(0.0829927\pi\)
\(422\) 18.8091 + 11.3170i 0.915612 + 0.550905i
\(423\) −4.93620 + 2.28373i −0.240006 + 0.111039i
\(424\) 10.6194 8.07264i 0.515722 0.392042i
\(425\) 8.31631 12.2656i 0.403400 0.594971i
\(426\) 3.97872 2.39392i 0.192770 0.115986i
\(427\) 0.257670 + 4.75244i 0.0124695 + 0.229987i
\(428\) −3.83070 + 1.29071i −0.185164 + 0.0623890i
\(429\) −0.856777 0.651305i −0.0413656 0.0314453i
\(430\) −14.2655 3.14007i −0.687943 0.151428i
\(431\) −22.0144 + 25.9174i −1.06040 + 1.24840i −0.0928574 + 0.995679i \(0.529600\pi\)
−0.967540 + 0.252717i \(0.918676\pi\)
\(432\) 3.04148 0.330781i 0.146333 0.0159147i
\(433\) 1.68240 + 6.05946i 0.0808510 + 0.291199i 0.992911 0.118857i \(-0.0379230\pi\)
−0.912060 + 0.410056i \(0.865509\pi\)
\(434\) 0.689444 12.7161i 0.0330944 0.610390i
\(435\) 11.0457 + 20.8344i 0.529600 + 0.998932i
\(436\) −2.87590 3.38577i −0.137731 0.162149i
\(437\) 2.09225 + 1.98189i 0.100086 + 0.0948064i
\(438\) 5.11162 12.8292i 0.244243 0.613003i
\(439\) −5.53344 13.8879i −0.264097 0.662833i 0.735800 0.677199i \(-0.236806\pi\)
−0.999897 + 0.0143662i \(0.995427\pi\)
\(440\) −23.9504 + 22.6871i −1.14179 + 1.08156i
\(441\) 5.85115 + 0.636351i 0.278626 + 0.0303024i
\(442\) −0.369046 2.25108i −0.0175537 0.107073i
\(443\) 5.05806 + 30.8528i 0.240316 + 1.46586i 0.780945 + 0.624600i \(0.214738\pi\)
−0.540629 + 0.841261i \(0.681814\pi\)
\(444\) 0.733950 + 0.0798219i 0.0348317 + 0.00378818i
\(445\) 22.5740 21.3832i 1.07011 1.01366i
\(446\) 2.20107 + 5.52427i 0.104224 + 0.261582i
\(447\) −3.25793 + 8.17680i −0.154095 + 0.386749i
\(448\) −6.81583 6.45629i −0.322018 0.305031i
\(449\) 8.37002 + 9.85395i 0.395006 + 0.465037i 0.923331 0.384006i \(-0.125456\pi\)
−0.528325 + 0.849042i \(0.677180\pi\)
\(450\) −1.29710 2.44660i −0.0611460 0.115334i
\(451\) 0.897668 16.5565i 0.0422695 0.779615i
\(452\) 0.935929 + 3.37091i 0.0440224 + 0.158554i
\(453\) −9.36034 + 1.01800i −0.439787 + 0.0478298i
\(454\) −15.8292 + 18.6356i −0.742901 + 0.874611i
\(455\) −0.733009 0.161347i −0.0343640 0.00756408i
\(456\) 0.971471 + 0.738493i 0.0454933 + 0.0345831i
\(457\) 11.0794 3.73309i 0.518274 0.174627i −0.0479948 0.998848i \(-0.515283\pi\)
0.566268 + 0.824221i \(0.308387\pi\)
\(458\) 0.581150 + 10.7187i 0.0271553 + 0.500851i
\(459\) 5.81277 3.49743i 0.271317 0.163246i
\(460\) 4.23563 6.24708i 0.197487 0.291272i
\(461\) 27.9364 21.2367i 1.30113 0.989092i 0.301766 0.953382i \(-0.402424\pi\)
0.999362 0.0357095i \(-0.0113691\pi\)
\(462\) 4.92747 2.27969i 0.229247 0.106061i
\(463\) −7.28608 4.38389i −0.338613 0.203737i 0.336083 0.941832i \(-0.390898\pi\)
−0.674696 + 0.738096i \(0.735725\pi\)
\(464\) 12.6076 23.7805i 0.585295 1.10398i
\(465\) 24.9116 5.48345i 1.15525 0.254289i
\(466\) −31.5676 14.6047i −1.46234 0.676550i
\(467\) −6.59088 9.72082i −0.304989 0.449826i 0.644050 0.764984i \(-0.277253\pi\)
−0.949039 + 0.315158i \(0.897943\pi\)
\(468\) 0.0988029 + 0.0332906i 0.00456716 + 0.00153886i
\(469\) 0.818171 2.94679i 0.0377796 0.136070i
\(470\) 2.98978 18.2368i 0.137908 0.841203i
\(471\) −12.7786 −0.588806
\(472\) −6.33232 22.4243i −0.291469 1.03216i
\(473\) 17.4418 0.801973
\(474\) −1.84710 + 11.2668i −0.0848399 + 0.517500i
\(475\) 0.235088 0.846712i 0.0107866 0.0388498i
\(476\) −2.66735 0.898735i −0.122258 0.0411935i
\(477\) −2.46769 3.63956i −0.112988 0.166644i
\(478\) 16.4886 + 7.62844i 0.754171 + 0.348917i
\(479\) −6.36815 + 1.40174i −0.290968 + 0.0640470i −0.358056 0.933700i \(-0.616560\pi\)
0.0670877 + 0.997747i \(0.478629\pi\)
\(480\) 2.74812 5.18350i 0.125434 0.236593i
\(481\) −0.426931 0.256876i −0.0194664 0.0117125i
\(482\) 33.9232 15.6945i 1.54516 0.714866i
\(483\) −6.02062 + 4.57676i −0.273948 + 0.208250i
\(484\) 1.20457 1.77661i 0.0547531 0.0807549i
\(485\) 28.7636 17.3065i 1.30609 0.785847i
\(486\) −0.0686295 1.26580i −0.00311310 0.0574177i
\(487\) −28.6966 + 9.66902i −1.30037 + 0.438145i −0.882478 0.470353i \(-0.844127\pi\)
−0.417890 + 0.908498i \(0.637230\pi\)
\(488\) 10.8883 + 8.27707i 0.492890 + 0.374686i
\(489\) −2.41981 0.532639i −0.109427 0.0240868i
\(490\) −12.9466 + 15.2420i −0.584870 + 0.688562i
\(491\) −5.05392 + 0.549647i −0.228080 + 0.0248052i −0.221445 0.975173i \(-0.571077\pi\)
−0.00663486 + 0.999978i \(0.502112\pi\)
\(492\) 0.429726 + 1.54773i 0.0193736 + 0.0697773i
\(493\) 3.23113 59.5947i 0.145523 2.68401i
\(494\) −0.0633598 0.119509i −0.00285069 0.00537698i
\(495\) 7.04029 + 8.28847i 0.316437 + 0.372539i
\(496\) −21.1373 20.0223i −0.949094 0.899030i
\(497\) −1.43123 + 3.59211i −0.0641993 + 0.161128i
\(498\) −4.25751 10.6855i −0.190784 0.478831i
\(499\) 7.75566 7.34655i 0.347191 0.328877i −0.494155 0.869374i \(-0.664522\pi\)
0.841346 + 0.540497i \(0.181764\pi\)
\(500\) 2.94882 + 0.320703i 0.131875 + 0.0143423i
\(501\) 0.580197 + 3.53905i 0.0259213 + 0.158113i
\(502\) −4.79544 29.2509i −0.214031 1.30553i
\(503\) −10.3519 1.12583i −0.461567 0.0501985i −0.125618 0.992079i \(-0.540091\pi\)
−0.335949 + 0.941880i \(0.609057\pi\)
\(504\) −2.32486 + 2.20223i −0.103558 + 0.0980950i
\(505\) 3.12291 + 7.83790i 0.138968 + 0.348782i
\(506\) 13.6383 34.2296i 0.606298 1.52169i
\(507\) 9.38686 + 8.89170i 0.416885 + 0.394894i
\(508\) 3.30737 + 3.89374i 0.146741 + 0.172757i
\(509\) 15.0198 + 28.3303i 0.665739 + 1.25572i 0.954470 + 0.298307i \(0.0964218\pi\)
−0.288731 + 0.957410i \(0.593233\pi\)
\(510\) −1.24791 + 23.0163i −0.0552584 + 1.01918i
\(511\) 3.07662 + 11.0810i 0.136102 + 0.490194i
\(512\) −25.1104 + 2.73092i −1.10973 + 0.120691i
\(513\) 0.260421 0.306592i 0.0114979 0.0135364i
\(514\) −29.7482 6.54808i −1.31214 0.288823i
\(515\) 8.00072 + 6.08199i 0.352554 + 0.268005i
\(516\) −1.60124 + 0.539520i −0.0704906 + 0.0237511i
\(517\) 1.19467 + 22.0344i 0.0525416 + 0.969072i
\(518\) 2.15375 1.29587i 0.0946304 0.0569372i
\(519\) 4.16697 6.14582i 0.182910 0.269771i
\(520\) −1.71707 + 1.30529i −0.0752987 + 0.0572406i
\(521\) −5.18443 + 2.39857i −0.227134 + 0.105083i −0.530156 0.847900i \(-0.677867\pi\)
0.303022 + 0.952984i \(0.402005\pi\)
\(522\) −9.55609 5.74971i −0.418259 0.251658i
\(523\) 3.01299 5.68310i 0.131749 0.248505i −0.808857 0.588005i \(-0.799913\pi\)
0.940606 + 0.339501i \(0.110258\pi\)
\(524\) 6.96056 1.53214i 0.304074 0.0669317i
\(525\) 2.09287 + 0.968264i 0.0913402 + 0.0422585i
\(526\) −4.83202 7.12670i −0.210686 0.310739i
\(527\) −61.1789 20.6136i −2.66499 0.897941i
\(528\) 3.32076 11.9603i 0.144518 0.520505i
\(529\) −4.58256 + 27.9524i −0.199242 + 1.21532i
\(530\) 14.9411 0.648998
\(531\) −7.49424 + 1.68416i −0.325222 + 0.0730864i
\(532\) −0.166905 −0.00723625
\(533\) 0.175381 1.06977i 0.00759658 0.0463371i
\(534\) −3.93413 + 14.1694i −0.170246 + 0.613172i
\(535\) −26.1235 8.80202i −1.12942 0.380545i
\(536\) −4.93201 7.27418i −0.213031 0.314197i
\(537\) −19.1803 8.87376i −0.827692 0.382931i
\(538\) −19.0328 + 4.18944i −0.820563 + 0.180620i
\(539\) 11.1853 21.0977i 0.481786 0.908744i
\(540\) −0.902717 0.543147i −0.0388467 0.0233733i
\(541\) 41.1123 19.0206i 1.76756 0.817758i 0.788254 0.615350i \(-0.210985\pi\)
0.979301 0.202408i \(-0.0648768\pi\)
\(542\) −29.1031 + 22.1236i −1.25008 + 0.950290i
\(543\) 2.90018 4.27744i 0.124459 0.183563i
\(544\) −12.7232 + 7.65529i −0.545502 + 0.328218i
\(545\) −1.64011 30.2500i −0.0702545 1.29577i
\(546\) 0.336385 0.113341i 0.0143959 0.00485056i
\(547\) 18.3547 + 13.9529i 0.784791 + 0.596582i 0.918948 0.394378i \(-0.129040\pi\)
−0.134158 + 0.990960i \(0.542833\pi\)
\(548\) 1.23758 + 0.272411i 0.0528666 + 0.0116368i
\(549\) 2.91882 3.43630i 0.124572 0.146658i
\(550\) −11.1693 + 1.21473i −0.476260 + 0.0517964i
\(551\) −0.946789 3.41002i −0.0403346 0.145272i
\(552\) −1.17660 + 21.7011i −0.0500795 + 0.923661i
\(553\) −4.45341 8.40003i −0.189378 0.357206i
\(554\) 25.2775 + 29.7589i 1.07394 + 1.26434i
\(555\) 3.65516 + 3.46235i 0.155153 + 0.146969i
\(556\) −1.52244 + 3.82104i −0.0645659 + 0.162048i
\(557\) 2.04454 + 5.13141i 0.0866300 + 0.217425i 0.965909 0.258883i \(-0.0833543\pi\)
−0.879279 + 0.476307i \(0.841975\pi\)
\(558\) −8.75816 + 8.29617i −0.370762 + 0.351205i
\(559\) 1.13366 + 0.123293i 0.0479487 + 0.00521474i
\(560\) −1.40048 8.54256i −0.0591811 0.360989i
\(561\) −4.45281 27.1609i −0.187998 1.14674i
\(562\) 18.9047 + 2.05601i 0.797446 + 0.0867275i
\(563\) 9.05483 8.57719i 0.381615 0.361485i −0.472715 0.881215i \(-0.656726\pi\)
0.854331 + 0.519730i \(0.173967\pi\)
\(564\) −0.791259 1.98591i −0.0333180 0.0836220i
\(565\) −8.83058 + 22.1631i −0.371505 + 0.932408i
\(566\) 0.813953 + 0.771017i 0.0342130 + 0.0324083i
\(567\) 0.683399 + 0.804559i 0.0287001 + 0.0337883i
\(568\) 5.20489 + 9.81746i 0.218392 + 0.411931i
\(569\) 1.86408 34.3808i 0.0781461 1.44132i −0.652098 0.758134i \(-0.726111\pi\)
0.730245 0.683186i \(-0.239406\pi\)
\(570\) 0.365664 + 1.31700i 0.0153160 + 0.0551631i
\(571\) −6.59099 + 0.716813i −0.275824 + 0.0299977i −0.244986 0.969527i \(-0.578783\pi\)
−0.0308385 + 0.999524i \(0.509818\pi\)
\(572\) 0.273850 0.322401i 0.0114502 0.0134803i
\(573\) 22.8945 + 5.03946i 0.956431 + 0.210526i
\(574\) 4.35364 + 3.30955i 0.181718 + 0.138138i
\(575\) 14.8308 4.99708i 0.618487 0.208393i
\(576\) 0.481486 + 8.88048i 0.0200619 + 0.370020i
\(577\) 30.2092 18.1763i 1.25763 0.756689i 0.278597 0.960408i \(-0.410131\pi\)
0.979029 + 0.203720i \(0.0653031\pi\)
\(578\) 20.6448 30.4488i 0.858710 1.26650i
\(579\) 13.1646 10.0074i 0.547101 0.415895i
\(580\) −8.41194 + 3.89178i −0.349287 + 0.161597i
\(581\) 8.20748 + 4.93827i 0.340503 + 0.204874i
\(582\) −7.43641 + 14.0266i −0.308249 + 0.581420i
\(583\) −17.4236 + 3.83522i −0.721611 + 0.158839i
\(584\) 29.9936 + 13.8765i 1.24115 + 0.574215i
\(585\) 0.399007 + 0.588491i 0.0164969 + 0.0243311i
\(586\) −17.4756 5.88822i −0.721911 0.243240i
\(587\) −8.82784 + 31.7950i −0.364364 + 1.31232i 0.523425 + 0.852071i \(0.324654\pi\)
−0.887790 + 0.460250i \(0.847760\pi\)
\(588\) −0.374257 + 2.28287i −0.0154341 + 0.0941439i
\(589\) −3.82816 −0.157737
\(590\) 9.55365 24.2876i 0.393317 0.999907i
\(591\) 0.128264 0.00527608
\(592\) 0.929702 5.67093i 0.0382105 0.233074i
\(593\) 10.0814 36.3098i 0.413992 1.49107i −0.403421 0.915014i \(-0.632179\pi\)
0.817414 0.576051i \(-0.195407\pi\)
\(594\) −4.87394 1.64222i −0.199980 0.0673812i
\(595\) −10.7719 15.8873i −0.441603 0.651316i
\(596\) −3.13983 1.45264i −0.128613 0.0595025i
\(597\) −23.7682 + 5.23178i −0.972769 + 0.214123i
\(598\) 1.12841 2.12841i 0.0461442 0.0870372i
\(599\) 13.7144 + 8.25169i 0.560356 + 0.337155i 0.767392 0.641179i \(-0.221554\pi\)
−0.207036 + 0.978333i \(0.566382\pi\)
\(600\) 6.01428 2.78250i 0.245532 0.113595i
\(601\) 17.0329 12.9481i 0.694788 0.528164i −0.197121 0.980379i \(-0.563159\pi\)
0.891909 + 0.452215i \(0.149366\pi\)
\(602\) −3.22835 + 4.76147i −0.131578 + 0.194063i
\(603\) −2.48240 + 1.49361i −0.101091 + 0.0608246i
\(604\) −0.200355 3.69533i −0.00815233 0.150361i
\(605\) 13.8716 4.67388i 0.563960 0.190020i
\(606\) −3.17660 2.41479i −0.129041 0.0980941i
\(607\) −20.1140 4.42743i −0.816403 0.179704i −0.212910 0.977072i \(-0.568294\pi\)
−0.603493 + 0.797368i \(0.706225\pi\)
\(608\) −0.570019 + 0.671078i −0.0231173 + 0.0272158i
\(609\) 9.23268 1.00411i 0.374127 0.0406888i
\(610\) 4.09838 + 14.7610i 0.165939 + 0.597657i
\(611\) −0.0781077 + 1.44061i −0.00315990 + 0.0582809i
\(612\) 1.24895 + 2.35577i 0.0504858 + 0.0952263i
\(613\) −2.94214 3.46375i −0.118832 0.139900i 0.699529 0.714604i \(-0.253393\pi\)
−0.818361 + 0.574704i \(0.805117\pi\)
\(614\) −2.92062 2.76656i −0.117867 0.111649i
\(615\) −4.05451 + 10.1761i −0.163494 + 0.410338i
\(616\) 4.80902 + 12.0697i 0.193761 + 0.486303i
\(617\) −21.6528 + 20.5106i −0.871708 + 0.825726i −0.985831 0.167741i \(-0.946353\pi\)
0.114123 + 0.993467i \(0.463594\pi\)
\(618\) −4.72515 0.513891i −0.190073 0.0206717i
\(619\) −0.386873 2.35982i −0.0155497 0.0948493i 0.977911 0.209020i \(-0.0670273\pi\)
−0.993461 + 0.114170i \(0.963579\pi\)
\(620\) 1.62200 + 9.89376i 0.0651411 + 0.397343i
\(621\) 7.12219 + 0.774585i 0.285804 + 0.0310830i
\(622\) 21.3892 20.2609i 0.857629 0.812390i
\(623\) −4.53264 11.3761i −0.181597 0.455773i
\(624\) 0.300384 0.753908i 0.0120250 0.0301805i
\(625\) 22.6151 + 21.4221i 0.904603 + 0.856886i
\(626\) 1.97306 + 2.32287i 0.0788594 + 0.0928405i
\(627\) −0.764481 1.44196i −0.0305304 0.0575865i
\(628\) 0.271918 5.01523i 0.0108507 0.200129i
\(629\) −3.40894 12.2779i −0.135923 0.489551i
\(630\) −3.56580 + 0.387804i −0.142065 + 0.0154505i
\(631\) −22.7502 + 26.7836i −0.905669 + 1.06624i 0.0918451 + 0.995773i \(0.470724\pi\)
−0.997514 + 0.0704630i \(0.977552\pi\)
\(632\) −26.6831 5.87340i −1.06140 0.233631i
\(633\) 13.7855 + 10.4794i 0.547923 + 0.416520i
\(634\) −9.38872 + 3.16343i −0.372874 + 0.125636i
\(635\) 1.88617 + 34.7884i 0.0748504 + 1.38053i
\(636\) 1.48094 0.891049i 0.0587229 0.0353324i
\(637\) 0.876147 1.29222i 0.0347142 0.0511996i
\(638\) −36.0217 + 27.3830i −1.42611 + 1.08410i
\(639\) 3.32442 1.53804i 0.131512 0.0608440i
\(640\) −15.8387 9.52984i −0.626080 0.376700i
\(641\) −10.5911 + 19.9770i −0.418325 + 0.789044i −0.999698 0.0245930i \(-0.992171\pi\)
0.581373 + 0.813637i \(0.302516\pi\)
\(642\) 12.7324 2.80262i 0.502509 0.110611i
\(643\) −1.24911 0.577898i −0.0492599 0.0227901i 0.395104 0.918636i \(-0.370708\pi\)
−0.444364 + 0.895846i \(0.646570\pi\)
\(644\) −1.66813 2.46031i −0.0657336 0.0969499i
\(645\) −10.9196 3.67926i −0.429961 0.144871i
\(646\) 0.925463 3.33321i 0.0364118 0.131144i
\(647\) 2.36438 14.4221i 0.0929536 0.566992i −0.898752 0.438458i \(-0.855525\pi\)
0.991705 0.128534i \(-0.0410270\pi\)
\(648\) 3.03356 0.119170
\(649\) −4.90663 + 30.7755i −0.192602 + 1.20804i
\(650\) −0.734555 −0.0288116
\(651\) 1.62524 9.91355i 0.0636983 0.388543i
\(652\) 0.260537 0.938370i 0.0102034 0.0367494i
\(653\) 33.9554 + 11.4409i 1.32878 + 0.447717i 0.892074 0.451890i \(-0.149250\pi\)
0.436702 + 0.899606i \(0.356146\pi\)
\(654\) 8.04034 + 11.8586i 0.314402 + 0.463708i
\(655\) 44.1117 + 20.4082i 1.72359 + 0.797416i
\(656\) 12.2107 2.68778i 0.476749 0.104940i
\(657\) 5.10291 9.62512i 0.199084 0.375512i
\(658\) −6.23635 3.75229i −0.243118 0.146279i
\(659\) −25.8451 + 11.9572i −1.00678 + 0.465788i −0.852773 0.522282i \(-0.825081\pi\)
−0.154010 + 0.988069i \(0.549219\pi\)
\(660\) −3.40280 + 2.58674i −0.132454 + 0.100689i
\(661\) −18.0821 + 26.6691i −0.703311 + 1.03731i 0.293377 + 0.955997i \(0.405221\pi\)
−0.996689 + 0.0813101i \(0.974090\pi\)
\(662\) −10.9524 + 6.58987i −0.425679 + 0.256123i
\(663\) −0.0974224 1.79685i −0.00378357 0.0697839i
\(664\) 26.0851 8.78910i 1.01230 0.341083i
\(665\) −0.906119 0.688814i −0.0351378 0.0267111i
\(666\) −2.32542 0.511864i −0.0901083 0.0198343i
\(667\) 40.8038 48.0379i 1.57993 1.86004i
\(668\) −1.40132 + 0.152403i −0.0542187 + 0.00589664i
\(669\) 1.25498 + 4.52005i 0.0485205 + 0.174755i
\(670\) 0.532933 9.82937i 0.0205890 0.379742i
\(671\) −8.56835 16.1616i −0.330778 0.623913i
\(672\) −1.49585 1.76105i −0.0577035 0.0679339i
\(673\) 3.80039 + 3.59992i 0.146494 + 0.138767i 0.757437 0.652908i \(-0.226451\pi\)
−0.610943 + 0.791674i \(0.709210\pi\)
\(674\) −4.72614 + 11.8617i −0.182044 + 0.456897i
\(675\) −0.808560 2.02933i −0.0311215 0.0781090i
\(676\) −3.68948 + 3.49486i −0.141903 + 0.134418i
\(677\) 2.54790 + 0.277101i 0.0979239 + 0.0106499i 0.156950 0.987607i \(-0.449834\pi\)
−0.0590259 + 0.998256i \(0.518799\pi\)
\(678\) −1.82541 11.1345i −0.0701043 0.427617i
\(679\) −2.13884 13.0463i −0.0820811 0.500673i
\(680\) −54.8368 5.96386i −2.10289 0.228703i
\(681\) −14.0032 + 13.2646i −0.536605 + 0.508299i
\(682\) 18.1164 + 45.4687i 0.693713 + 1.74109i
\(683\) −2.88326 + 7.23643i −0.110325 + 0.276894i −0.973765 0.227558i \(-0.926926\pi\)
0.863440 + 0.504452i \(0.168305\pi\)
\(684\) 0.114787 + 0.108732i 0.00438899 + 0.00415747i
\(685\) 5.59451 + 6.58636i 0.213755 + 0.251652i
\(686\) 8.07687 + 15.2346i 0.308376 + 0.581660i
\(687\) −0.458444 + 8.45551i −0.0174907 + 0.322598i
\(688\) 3.51860 + 12.6729i 0.134145 + 0.483148i
\(689\) −1.15959 + 0.126113i −0.0441768 + 0.00480451i
\(690\) −15.7590 + 18.5530i −0.599936 + 0.706299i
\(691\) 19.5456 + 4.30230i 0.743548 + 0.163667i 0.570559 0.821257i \(-0.306727\pi\)
0.172989 + 0.984924i \(0.444658\pi\)
\(692\) 2.32339 + 1.76619i 0.0883220 + 0.0671406i
\(693\) 4.05872 1.36754i 0.154178 0.0519487i
\(694\) 0.759083 + 14.0005i 0.0288144 + 0.531450i
\(695\) −24.0346 + 14.4612i −0.911685 + 0.548543i
\(696\) 14.9772 22.0897i 0.567709 0.837309i
\(697\) 22.0707 16.7777i 0.835986 0.635500i
\(698\) 28.9746 13.4051i 1.09671 0.507390i
\(699\) −23.5107 14.1459i −0.889256 0.535047i
\(700\) −0.424550 + 0.800787i −0.0160465 + 0.0302669i
\(701\) 12.7095 2.79758i 0.480032 0.105663i 0.0316388 0.999499i \(-0.489927\pi\)
0.448394 + 0.893836i \(0.351996\pi\)
\(702\) −0.305182 0.141192i −0.0115184 0.00532896i
\(703\) −0.424029 0.625396i −0.0159925 0.0235872i
\(704\) 34.1942 + 11.5214i 1.28874 + 0.434228i
\(705\) 3.90011 14.0469i 0.146887 0.529038i
\(706\) −4.55635 + 27.7925i −0.171480 + 1.04598i
\(707\) 3.32283 0.124968
\(708\) −0.501514 2.97711i −0.0188481 0.111887i
\(709\) −21.3143 −0.800474 −0.400237 0.916412i \(-0.631072\pi\)
−0.400237 + 0.916412i \(0.631072\pi\)
\(710\) −2.01355 + 12.2821i −0.0755673 + 0.460940i
\(711\) −2.40950 + 8.67824i −0.0903634 + 0.325460i
\(712\) −33.3487 11.2365i −1.24980 0.421105i
\(713\) −38.2606 56.4302i −1.43287 2.11333i
\(714\) 8.23891 + 3.81172i 0.308333 + 0.142650i
\(715\) 2.81726 0.620127i 0.105360 0.0231914i
\(716\) 3.89084 7.33890i 0.145407 0.274268i
\(717\) 12.2803 + 7.38879i 0.458615 + 0.275940i
\(718\) −23.0928 + 10.6839i −0.861817 + 0.398719i
\(719\) −21.8846 + 16.6363i −0.816159 + 0.620428i −0.927698 0.373332i \(-0.878215\pi\)
0.111539 + 0.993760i \(0.464422\pi\)
\(720\) −4.60197 + 6.78740i −0.171505 + 0.252952i
\(721\) 3.39146 2.04057i 0.126305 0.0759950i
\(722\) 1.29286 + 23.8453i 0.0481151 + 0.887431i
\(723\) 27.9423 9.41484i 1.03918 0.350142i
\(724\) 1.61706 + 1.22926i 0.0600976 + 0.0456850i
\(725\) −18.7691 4.13140i −0.697068 0.153436i
\(726\) −4.48171 + 5.27628i −0.166332 + 0.195821i
\(727\) 10.5057 1.14256i 0.389634 0.0423753i 0.0887944 0.996050i \(-0.471699\pi\)
0.300840 + 0.953675i \(0.402733\pi\)
\(728\) 0.227252 + 0.818489i 0.00842253 + 0.0303352i
\(729\) 0.0541389 0.998533i 0.00200514 0.0369827i
\(730\) 17.3387 + 32.7043i 0.641735 + 1.21044i
\(731\) 18.8799 + 22.2271i 0.698298 + 0.822100i
\(732\) 1.28654 + 1.21867i 0.0475518 + 0.0450435i
\(733\) −13.1411 + 32.9816i −0.485376 + 1.21820i 0.458734 + 0.888573i \(0.348303\pi\)
−0.944111 + 0.329629i \(0.893076\pi\)
\(734\) 4.54249 + 11.4008i 0.167666 + 0.420810i
\(735\) −11.4532 + 10.8490i −0.422457 + 0.400172i
\(736\) −15.5893 1.69544i −0.574629 0.0624946i
\(737\) 1.90162 + 11.5994i 0.0700470 + 0.427268i
\(738\) −0.838124 5.11233i −0.0308518 0.188188i
\(739\) −7.19446 0.782445i −0.264652 0.0287827i −0.0251693 0.999683i \(-0.508012\pi\)
−0.239483 + 0.970901i \(0.576978\pi\)
\(740\) −1.43665 + 1.36087i −0.0528124 + 0.0500266i
\(741\) −0.0394959 0.0991271i −0.00145092 0.00364153i
\(742\) 2.17800 5.46637i 0.0799570 0.200677i
\(743\) 17.6385 + 16.7080i 0.647092 + 0.612958i 0.939177 0.343434i \(-0.111590\pi\)
−0.292085 + 0.956393i \(0.594349\pi\)
\(744\) −18.6893 22.0028i −0.685184 0.806661i
\(745\) −11.0510 20.8444i −0.404877 0.763678i
\(746\) −0.966144 + 17.8195i −0.0353730 + 0.652417i
\(747\) −2.42751 8.74309i −0.0888178 0.319893i
\(748\) 10.7546 1.16964i 0.393229 0.0427662i
\(749\) −7.02842 + 8.27450i −0.256813 + 0.302344i
\(750\) −9.34294 2.05654i −0.341156 0.0750941i
\(751\) −9.53863 7.25108i −0.348069 0.264595i 0.416502 0.909135i \(-0.363256\pi\)
−0.764571 + 0.644539i \(0.777049\pi\)
\(752\) −15.7688 + 5.31312i −0.575028 + 0.193749i
\(753\) −1.26592 23.3485i −0.0461327 0.850867i
\(754\) −2.53487 + 1.52518i −0.0923144 + 0.0555437i
\(755\) 14.1628 20.8886i 0.515439 0.760215i
\(756\) −0.330309 + 0.251094i −0.0120132 + 0.00913221i
\(757\) 12.2429 5.66416i 0.444975 0.205867i −0.184589 0.982816i \(-0.559096\pi\)
0.629564 + 0.776948i \(0.283233\pi\)
\(758\) −25.9833 15.6337i −0.943758 0.567840i
\(759\) 13.6151 25.6808i 0.494197 0.932154i
\(760\) −3.19440 + 0.703141i −0.115873 + 0.0255056i
\(761\) −36.3048 16.7964i −1.31605 0.608868i −0.368841 0.929493i \(-0.620245\pi\)
−0.947207 + 0.320624i \(0.896107\pi\)
\(762\) −9.24662 13.6377i −0.334970 0.494043i
\(763\) −11.3064 3.80958i −0.409320 0.137916i
\(764\) −2.46502 + 8.87820i −0.0891813 + 0.321202i
\(765\) −2.94173 + 17.9437i −0.106358 + 0.648757i
\(766\) 29.1991 1.05501
\(767\) −0.536462 + 1.96562i −0.0193705 + 0.0709745i
\(768\) −9.04496 −0.326382
\(769\) −2.77786 + 16.9442i −0.100172 + 0.611024i 0.888258 + 0.459346i \(0.151916\pi\)
−0.988430 + 0.151678i \(0.951532\pi\)
\(770\) −3.89322 + 14.0221i −0.140302 + 0.505322i
\(771\) −22.7711 7.67246i −0.820079 0.276317i
\(772\) 3.64750 + 5.37967i 0.131277 + 0.193618i