Properties

Label 177.2.e.a.22.4
Level $177$
Weight $2$
Character 177.22
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 22.4
Character \(\chi\) \(=\) 177.22
Dual form 177.2.e.a.169.4

$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{13}{29}\right)\) \(1\)

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 0.954673 + 0.297656i \(0.0962050\pi\)
−0.809657 + 0.586904i \(0.800347\pi\)
\(3\) 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 −0.326203 0.945300i \(-0.605769\pi\)
0.998902 0.0468562i \(-0.0149202\pi\)
\(6\) −1.15049 + 0.532275i −0.469687 + 0.217300i
\(7\) 1.03095 + 0.226929i 0.389662 + 0.0857710i 0.405480 0.914104i \(-0.367104\pi\)
−0.0158185 + 0.999875i \(0.505035\pi\)
\(8\) 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 −0.00815954 0.999967i \(-0.502597\pi\)
−0.965701 + 0.259657i \(0.916390\pi\)
\(12\) 0.220573 + 0.325321i 0.0636740 + 0.0939122i
\(13\) −0.227291 0.136757i −0.0630393 0.0379295i 0.483685 0.875242i \(-0.339298\pi\)
−0.546725 + 0.837313i \(0.684126\pi\)
\(14\) −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 −0.925644 0.378395i \(-0.876476\pi\)
−0.681208 + 0.732090i \(0.738545\pi\)
\(18\) −0.820663 0.966159i −0.193432 0.227726i
\(19\) −0.399908 0.0434926i −0.0917451 0.00997788i 0.0621313 0.998068i \(-0.480210\pi\)
−0.153876 + 0.988090i \(0.549176\pi\)
\(20\) 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 0.0232295 + 0.999730i \(0.492605\pi\)
−0.990318 + 0.138815i \(0.955671\pi\)
\(24\) −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 −0.437103 0.899412i \(-0.643995\pi\)
0.701405 0.712763i \(-0.252556\pi\)
\(30\) −0.549705 + 3.35305i −0.100362 + 0.612180i
\(31\) 9.46072 1.02892i 1.69920 0.184799i 0.793454 0.608630i \(-0.208281\pi\)
0.905741 + 0.423831i \(0.139315\pi\)
\(32\) 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 −0.800596 0.599205i \(-0.795484\pi\)
0.945239 + 0.326378i \(0.105828\pi\)
\(38\) −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 0.515717 0.856759i \(-0.327525\pi\)
−0.928906 + 0.370315i \(0.879250\pi\)
\(42\) −1.30689 + 0.287668i −0.201657 + 0.0443881i
\(43\) −3.42236 + 2.60161i −0.521904 + 0.396741i −0.832691 0.553738i \(-0.813201\pi\)
0.310786 + 0.950480i \(0.399408\pi\)
\(44\) −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 0.982393 0.186827i \(-0.0598205\pi\)
−0.537179 + 0.843468i \(0.680510\pi\)
\(48\) −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 −0.126191 0.992006i \(-0.540275\pi\)
0.674375 + 0.738389i \(0.264413\pi\)
\(54\) 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 −0.991522 0.129936i \(-0.958523\pi\)
0.898131 0.439729i \(-0.144925\pi\)
\(62\) 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 0.952461 0.304661i \(-0.0985433\pi\)
−0.786673 + 0.617369i \(0.788198\pi\)
\(68\) −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 0.685922 0.727675i \(-0.259399\pi\)
−0.929879 + 0.367866i \(0.880089\pi\)
\(72\) −2.59933 1.56396i −0.306334 0.184315i
\(73\) 0.589798 10.8782i 0.0690306 1.27319i −0.734779 0.678307i \(-0.762714\pi\)
0.803809 0.594887i \(-0.202803\pi\)
\(74\) 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 0.695177 + 0.718838i \(0.255326\pi\)
−0.966268 + 0.257540i \(0.917088\pi\)
\(80\) 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 −0.234822 0.972038i \(-0.575451\pi\)
0.957900 + 0.287102i \(0.0926920\pi\)
\(84\) 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 0.678806 + 0.734318i \(0.262498\pi\)
−0.877741 + 0.479135i \(0.840951\pi\)
\(90\) −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 0.805142 + 0.593082i \(0.202089\pi\)
−0.736299 + 0.676656i \(0.763428\pi\)
\(98\) 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 −0.0593739 0.998236i \(-0.518910\pi\)
0.365262 + 0.930905i \(0.380979\pi\)
\(102\) 6.84605 5.20423i 0.677860 0.515296i
\(103\) 3.55318 + 1.19721i 0.350105 + 0.117964i 0.488859 0.872363i \(-0.337413\pi\)
−0.138754 + 0.990327i \(0.544310\pi\)
\(104\) 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 0.129344 0.991600i \(-0.458713\pi\)
−0.920853 + 0.389911i \(0.872506\pi\)
\(108\) −0.356721 0.165037i −0.0343255 0.0158806i
\(109\) −9.68442 + 5.82692i −0.927599 + 0.558118i −0.897299 0.441423i \(-0.854474\pi\)
−0.0303002 + 0.999541i \(0.509646\pi\)
\(110\) −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 −0.516716 0.856157i \(-0.672846\pi\)
0.986606 + 0.163121i \(0.0521561\pi\)
\(114\) 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 0.0729517 0.997335i \(-0.476758\pi\)
0.915329 + 0.402707i \(0.131931\pi\)
\(128\) −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 0.993416 0.114566i \(-0.0365479\pi\)
0.364104 + 0.931358i \(0.381375\pi\)
\(132\) 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 0.244006 0.969774i \(-0.421538\pi\)
0.0298281 + 0.999555i \(0.490504\pi\)
\(138\) 2.42962 8.75069i 0.206823 0.744909i
\(139\) −0.566553 10.4495i −0.0480544 0.886312i −0.918836 0.394641i \(-0.870869\pi\)
0.870781 0.491671i \(-0.163614\pi\)
\(140\) 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 −0.459275 0.888294i \(-0.651891\pi\)
−0.257581 + 0.966257i \(0.582925\pi\)
\(150\) 2.01041 + 1.90436i 0.164149 + 0.155490i
\(151\) −3.48505 + 8.74682i −0.283609 + 0.711806i 0.716293 + 0.697800i \(0.245838\pi\)
−0.999902 + 0.0140057i \(0.995542\pi\)
\(152\) −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 0.692448 + 0.721468i \(0.256532\pi\)
−0.965285 + 0.261201i \(0.915882\pi\)
\(158\) −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 0.988568 + 0.150777i \(0.0481774\pi\)
−0.999075 + 0.0430098i \(0.986305\pi\)
\(164\) −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 0.289894 0.957059i \(-0.406380\pi\)
−0.541760 + 0.840533i \(0.682242\pi\)
\(168\) −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 −0.0388266 0.999246i \(-0.512362\pi\)
0.573808 + 0.818990i \(0.305465\pi\)
\(174\) 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 0.733061 + 0.680163i \(0.238091\pi\)
−0.477510 + 0.878626i \(0.658461\pi\)
\(180\) 0.281847 + 1.01512i 0.0210076 + 0.0756626i
\(181\) 4.89741 1.65013i 0.364022 0.122653i −0.131346 0.991337i \(-0.541930\pi\)
0.495368 + 0.868683i \(0.335033\pi\)
\(182\) 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 −0.483107 0.875562i \(-0.660492\pi\)
0.574939 0.818196i \(-0.305026\pi\)
\(192\) −8.42798 2.83972i −0.608237 0.204939i
\(193\) 13.1646 10.0074i 0.947606 0.720352i −0.0125191 0.999922i \(-0.503985\pi\)
0.960125 + 0.279570i \(0.0901919\pi\)
\(194\) −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 −0.962318 0.271928i \(-0.912339\pi\)
0.964762 + 0.263123i \(0.0847525\pi\)
\(198\) 0.278445 + 5.13562i 0.0197883 + 0.364973i
\(199\) −11.3998 + 21.5022i −0.808107 + 1.52425i 0.0428888 + 0.999080i \(0.486344\pi\)
−0.850996 + 0.525172i \(0.824001\pi\)
\(200\) 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 −0.966539 0.256521i \(-0.917424\pi\)
0.525293 0.850921i \(-0.323956\pi\)
\(212\) 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 0.374570 0.927198i \(-0.377790\pi\)
−0.643739 + 0.765245i \(0.722618\pi\)
\(224\) 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 −0.944572 0.328304i \(-0.893523\pi\)
−0.152385 + 0.988321i \(0.548695\pi\)
\(228\) −0.0740599 0.139692i −0.00490474 0.00925132i
\(229\) −8.26995 1.82035i −0.546494 0.120292i −0.0668620 0.997762i \(-0.521299\pi\)
−0.479632 + 0.877470i \(0.659230\pi\)
\(230\) −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 0.662886 + 0.748721i \(0.269332\pi\)
−0.181992 + 0.983300i \(0.558255\pi\)
\(234\) 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 −0.977793 0.209574i \(-0.932792\pi\)
0.729782 0.683680i \(-0.239621\pi\)
\(240\) −7.77116 + 2.61841i −0.501626 + 0.169018i
\(241\) 16.5470 24.4050i 1.06589 1.57207i 0.273672 0.961823i \(-0.411762\pi\)
0.792215 0.610242i \(-0.208928\pi\)
\(242\) −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 0.914806 0.403894i \(-0.132343\pi\)
0.483845 + 0.875154i \(0.339240\pi\)
\(252\) −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 0.701675 + 0.712497i \(0.252436\pi\)
−0.620527 + 0.784185i \(0.713081\pi\)
\(258\) 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 0.824487 0.565882i \(-0.191464\pi\)
−0.520415 + 0.853914i \(0.674223\pi\)
\(264\) 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 0.647158 + 0.762356i \(0.275957\pi\)
−0.994106 + 0.108417i \(0.965422\pi\)
\(270\) −1.25766 3.15649i −0.0765387 0.192098i
\(271\) −20.9367 + 19.8323i −1.27181 + 1.20472i −0.304108 + 0.952638i \(0.598358\pi\)
−0.967705 + 0.252087i \(0.918883\pi\)
\(272\) 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 −0.888024 0.459797i \(-0.847922\pi\)
−0.310073 0.950713i \(-0.600354\pi\)
\(278\) 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 −0.868776 0.495204i \(-0.835093\pi\)
0.917225 0.398370i \(-0.130424\pi\)
\(282\) −5.90771 3.55455i −0.351799 0.211671i
\(283\) −0.496331 0.732034i −0.0295038 0.0435149i 0.812651 0.582751i \(-0.198024\pi\)
−0.842155 + 0.539236i \(0.818713\pi\)
\(284\) −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 0.962047 + 0.272883i \(0.0879772\pi\)
−0.824555 + 0.565782i \(0.808574\pi\)
\(294\) 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 0.875109 0.483925i \(-0.160789\pi\)
−0.773466 + 0.633837i \(0.781479\pi\)
\(308\) −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 0.0693751 0.997591i \(-0.477899\pi\)
0.979788 + 0.200037i \(0.0641064\pi\)
\(312\) 0.785875 0.172984i 0.0444914 0.00979330i
\(313\) −1.55647 1.83241i −0.0879766 0.103574i 0.716412 0.697677i \(-0.245783\pi\)
−0.804389 + 0.594103i \(0.797507\pi\)
\(314\) −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 −0.964776 0.263074i \(-0.915264\pi\)
0.759163 + 0.650901i \(0.225609\pi\)
\(318\) −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 −0.911713 0.410828i \(-0.865240\pi\)
0.552914 + 0.833238i \(0.313516\pi\)
\(332\) 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 −0.474653 0.880173i \(-0.657426\pi\)
−0.0612084 + 0.998125i \(0.519495\pi\)
\(338\) 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 −0.0846625 0.996410i \(-0.526981\pi\)
−0.495219 + 0.868768i \(0.664912\pi\)
\(348\) 3.13833 1.45195i 0.168232 0.0778324i
\(349\) 14.1332 20.8449i 0.756534 1.11580i −0.233137 0.972444i \(-0.574899\pi\)
0.989671 0.143360i \(-0.0457907\pi\)
\(350\) 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 −0.999293 0.0375838i \(-0.988034\pi\)
0.404791 + 0.914409i \(0.367344\pi\)
\(360\) −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 0.282317 0.959321i \(-0.408897\pi\)
−0.715332 + 0.698784i \(0.753725\pi\)
\(368\) 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 −0.261638 0.965166i \(-0.584263\pi\)
−0.463003 + 0.886357i \(0.653228\pi\)
\(374\) −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 0.960378 + 0.278699i \(0.0899033\pi\)
−0.505569 + 0.862786i \(0.668717\pi\)
\(380\) −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 −0.702647 0.711539i \(-0.747999\pi\)
0.893061 0.449936i \(-0.148553\pi\)
\(384\) 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 −0.168085 0.985772i \(-0.553758\pi\)
0.975227 + 0.221207i \(0.0709998\pi\)
\(390\) 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 0.0190549 0.999818i \(-0.493934\pi\)
0.968473 + 0.249119i \(0.0801412\pi\)
\(398\) −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 −0.935384 0.353632i \(-0.884946\pi\)
0.0177053 0.999843i \(-0.494364\pi\)
\(402\) −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 −0.495969 0.868340i \(-0.665187\pi\)
0.130660 + 0.991427i \(0.458290\pi\)
\(410\) −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 −0.318007 0.948088i \(-0.603014\pi\)
0.516723 + 0.856152i \(0.327152\pi\)
\(420\) 1.08612 + 0.239074i 0.0529975 + 0.0116656i
\(421\) 4.32148 + 8.15118i 0.210616 + 0.397264i 0.966202 0.257785i \(-0.0829927\pi\)
−0.755586 + 0.655049i \(0.772648\pi\)
\(422\) 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 −0.967540 0.252717i \(-0.918676\pi\)
−0.0928574 0.995679i \(-0.529600\pi\)
\(432\) 3.04148 + 0.330781i 0.146333 + 0.0159147i
\(433\) 1.68240 6.05946i 0.0808510 0.291199i −0.912060 0.410056i \(-0.865509\pi\)
0.992911 + 0.118857i \(0.0379230\pi\)
\(434\) 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 −0.999897 0.0143662i \(-0.995427\pi\)
0.735800 + 0.677199i \(0.236806\pi\)
\(440\) −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 −0.540629 0.841261i \(-0.681814\pi\)
0.780945 0.624600i \(-0.214738\pi\)
\(444\) 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 −0.528325 0.849042i \(-0.677180\pi\)
0.923331 + 0.384006i \(0.125456\pi\)
\(450\) −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 0.566268 0.824221i \(-0.308387\pi\)
−0.0479948 + 0.998848i \(0.515283\pi\)
\(458\) 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 0.999362 + 0.0357095i \(0.0113691\pi\)
0.301766 + 0.953382i \(0.402424\pi\)
\(462\) 4.92747 + 2.27969i 0.229247 + 0.106061i
\(463\) −7.28608 + 4.38389i −0.338613 + 0.203737i −0.674696 0.738096i \(-0.735725\pi\)
0.336083 + 0.941832i \(0.390898\pi\)
\(464\) 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 −0.949039 0.315158i \(-0.897943\pi\)
0.644050 + 0.764984i \(0.277253\pi\)
\(468\) 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 0.0670877 0.997747i \(-0.478629\pi\)
−0.358056 + 0.933700i \(0.616560\pi\)
\(480\) 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 −0.417890 0.908498i \(-0.637230\pi\)
−0.882478 + 0.470353i \(0.844127\pi\)
\(488\) 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 −0.00663486 0.999978i \(-0.502112\pi\)
−0.221445 + 0.975173i \(0.571077\pi\)
\(492\) 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 0.841346 0.540497i \(-0.181764\pi\)
−0.494155 + 0.869374i \(0.664522\pi\)
\(500\) 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 −0.335949 0.941880i \(-0.609057\pi\)
−0.125618 + 0.992079i \(0.540091\pi\)
\(504\) −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 −0.288731 0.957410i \(-0.593233\pi\)
0.954470 0.298307i \(-0.0964218\pi\)
\(510\) −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 0.303022 0.952984i \(-0.402005\pi\)
−0.530156 + 0.847900i \(0.677867\pi\)
\(522\) −9.55609 + 5.74971i −0.418259 + 0.251658i
\(523\) 3.01299 + 5.68310i 0.131749 + 0.248505i 0.940606 0.339501i \(-0.110258\pi\)
−0.808857 + 0.588005i \(0.799913\pi\)
\(524\) 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 0.979301 + 0.202408i \(0.0648768\pi\)
0.788254 + 0.615350i \(0.210985\pi\)
\(542\) −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 −0.134158 0.990960i \(-0.542833\pi\)
0.918948 + 0.394378i \(0.129040\pi\)
\(548\) 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 −0.879279 0.476307i \(-0.841975\pi\)
0.965909 + 0.258883i \(0.0833543\pi\)
\(558\) −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 0.854331 0.519730i \(-0.173967\pi\)
−0.472715 + 0.881215i \(0.656726\pi\)
\(564\) −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 0.730245 + 0.683186i \(0.239406\pi\)
−0.652098 + 0.758134i \(0.726111\pi\)
\(570\) 0.365664 1.31700i 0.0153160 0.0551631i
\(571\) −6.59099 0.716813i −0.275824 0.0299977i −0.0308385 0.999524i \(-0.509818\pi\)
−0.244986 + 0.969527i \(0.578783\pi\)
\(572\) 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 0.979029 0.203720i \(-0.0653031\pi\)
0.278597 + 0.960408i \(0.410131\pi\)
\(578\) 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 −0.887790 0.460250i \(-0.847760\pi\)
0.523425 0.852071i \(-0.324654\pi\)
\(588\) −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 0.817414 + 0.576051i \(0.195407\pi\)
−0.403421 + 0.915014i \(0.632179\pi\)
\(594\) −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 −0.207036 0.978333i \(-0.566382\pi\)
0.767392 + 0.641179i \(0.221554\pi\)
\(600\) 6.01428 + 2.78250i 0.245532 + 0.113595i
\(601\) 17.0329 + 12.9481i 0.694788 + 0.528164i 0.891909 0.452215i \(-0.149366\pi\)
−0.197121 + 0.980379i \(0.563159\pi\)
\(602\) −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 −0.603493 0.797368i \(-0.706225\pi\)
−0.212910 + 0.977072i \(0.568294\pi\)
\(608\) −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 −0.818361 0.574704i \(-0.805117\pi\)
0.699529 + 0.714604i \(0.253393\pi\)
\(614\) −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 0.114123 0.993467i \(-0.463594\pi\)
−0.985831 + 0.167741i \(0.946353\pi\)
\(618\) −4.72515 + 0.513891i −0.190073 + 0.0206717i
\(619\) −0.386873 + 2.35982i −0.0155497 + 0.0948493i −0.993461 0.114170i \(-0.963579\pi\)
0.977911 + 0.209020i \(0.0670273\pi\)
\(620\) 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 −0.997514 0.0704630i \(-0.977552\pi\)
0.0918451 0.995773i \(-0.470724\pi\)
\(632\) −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 0.581373 0.813637i \(-0.302516\pi\)
−0.999698 + 0.0245930i \(0.992171\pi\)
\(642\) 12.7324 + 2.80262i 0.502509 + 0.110611i
\(643\) −1.24911 + 0.577898i −0.0492599 + 0.0227901i −0.444364 0.895846i \(-0.646570\pi\)
0.395104 + 0.918636i \(0.370708\pi\)
\(644\) −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 0.991705 + 0.128534i \(0.0410270\pi\)
−0.898752 + 0.438458i \(0.855525\pi\)
\(648\) 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 0.436702 0.899606i \(-0.356146\pi\)
0.892074 + 0.451890i \(0.149250\pi\)
\(654\) 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 −0.154010 0.988069i \(-0.549219\pi\)
−0.852773 + 0.522282i \(0.825081\pi\)
\(660\) −3.40280 2.58674i −0.132454 0.100689i
\(661\) −18.0821 26.6691i −0.703311 1.03731i −0.996689 0.0813101i \(-0.974090\pi\)
0.293377 0.955997i \(-0.405221\pi\)
\(662\) −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 −0.610943 0.791674i \(-0.709210\pi\)
0.757437 + 0.652908i \(0.226451\pi\)
\(674\) −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 −0.0590259 0.998256i \(-0.518799\pi\)
0.156950 + 0.987607i \(0.449834\pi\)
\(678\) −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 0.863440 0.504452i \(-0.168305\pi\)
−0.973765 + 0.227558i \(0.926926\pi\)
\(684\) 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 0.172989 0.984924i \(-0.444658\pi\)
0.570559 + 0.821257i \(0.306727\pi\)
\(692\) 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 0.448394 0.893836i \(-0.351996\pi\)
0.0316388 + 0.999499i \(0.489927\pi\)
\(702\) −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 0.111539 0.993760i \(-0.464422\pi\)
−0.927698 + 0.373332i \(0.878215\pi\)
\(720\) −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 0.300840 0.953675i \(-0.402733\pi\)
0.0887944 + 0.996050i \(0.471699\pi\)
\(728\) 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 −0.944111 0.329629i \(-0.893076\pi\)
0.458734 0.888573i \(-0.348303\pi\)
\(734\) 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 −0.239483 0.970901i \(-0.576978\pi\)
−0.0251693 + 0.999683i \(0.508012\pi\)
\(740\) −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 −0.292085 0.956393i \(-0.594349\pi\)
0.939177 + 0.343434i \(0.111590\pi\)
\(744\) −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 −0.764571 0.644539i \(-0.777049\pi\)
0.416502 + 0.909135i \(0.363256\pi\)
\(752\) −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 0.629564 0.776948i \(-0.283233\pi\)
−0.184589 + 0.982816i \(0.559096\pi\)
\(758\) −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 −0.947207 0.320624i \(-0.896107\pi\)
−0.368841 + 0.929493i \(0.620245\pi\)
\(762\) −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 −0.988430 0.151678i \(-0.951532\pi\)
0.888258 0.459346i \(-0.151916\pi\)
\(770\) −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