Properties

Label 177.2.e.a.4.4
Level $177$
Weight $2$
Character 177.4
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 4.4
Character \(\chi\) \(=\) 177.4
Dual form 177.2.e.a.133.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.283755 + 0.0308602i) q^{2} +(0.647386 - 0.762162i) q^{3} +(-1.87368 - 0.412427i) q^{4} +(2.97558 + 2.26198i) q^{5} +(0.207220 - 0.196289i) q^{6} +(1.21093 - 3.03920i) q^{7} +(-1.05991 - 0.357126i) q^{8} +(-0.161782 - 0.986827i) q^{9} +O(q^{10})\) \(q+(0.283755 + 0.0308602i) q^{2} +(0.647386 - 0.762162i) q^{3} +(-1.87368 - 0.412427i) q^{4} +(2.97558 + 2.26198i) q^{5} +(0.207220 - 0.196289i) q^{6} +(1.21093 - 3.03920i) q^{7} +(-1.05991 - 0.357126i) q^{8} +(-0.161782 - 0.986827i) q^{9} +(0.774530 + 0.733674i) q^{10} +(2.37040 - 1.09666i) q^{11} +(-1.52733 + 1.16105i) q^{12} +(-0.960694 + 5.85997i) q^{13} +(0.437397 - 0.825018i) q^{14} +(3.65034 - 0.803501i) q^{15} +(3.19269 + 1.47709i) q^{16} +(-1.39701 - 3.50622i) q^{17} +(-0.0154528 - 0.285010i) q^{18} +(-2.54337 - 3.75119i) q^{19} +(-4.64237 - 5.46542i) q^{20} +(-1.53242 - 2.89046i) q^{21} +(0.706456 - 0.238033i) q^{22} +(-0.0711480 + 1.31225i) q^{23} +(-0.958360 + 0.576626i) q^{24} +(2.39989 + 8.64363i) q^{25} +(-0.453442 + 1.63315i) q^{26} +(-0.856857 - 0.515554i) q^{27} +(-3.52233 + 5.19505i) q^{28} +(-6.69107 + 0.727697i) q^{29} +(1.06060 - 0.115347i) q^{30} +(-4.50223 + 6.64029i) q^{31} +(2.77708 + 1.67091i) q^{32} +(0.698729 - 2.51659i) q^{33} +(-0.288205 - 1.03802i) q^{34} +(10.4778 - 6.30428i) q^{35} +(-0.103867 + 1.91572i) q^{36} +(-8.46255 + 2.85137i) q^{37} +(-0.605932 - 1.14291i) q^{38} +(3.84431 + 4.52587i) q^{39} +(-2.34604 - 3.46015i) q^{40} +(0.164521 + 3.03441i) q^{41} +(-0.345633 - 0.867472i) q^{42} +(-1.77119 - 0.819439i) q^{43} +(-4.89366 + 1.07717i) q^{44} +(1.75078 - 3.30233i) q^{45} +(-0.0606848 + 0.370161i) q^{46} +(-3.24938 + 2.47011i) q^{47} +(3.19269 - 1.47709i) q^{48} +(-2.68840 - 2.54659i) q^{49} +(0.414237 + 2.52673i) q^{50} +(-3.57671 - 1.20514i) q^{51} +(4.21684 - 10.5835i) q^{52} +(8.29807 - 7.86035i) q^{53} +(-0.227227 - 0.172734i) q^{54} +(9.53394 + 2.09858i) q^{55} +(-2.36885 + 2.78883i) q^{56} +(-4.50556 - 0.490009i) q^{57} -1.92108 q^{58} +(5.82606 - 5.00570i) q^{59} -7.17094 q^{60} +(0.794486 + 0.0864056i) q^{61} +(-1.48245 + 1.74528i) q^{62} +(-3.19507 - 0.703287i) q^{63} +(-4.86458 - 3.69796i) q^{64} +(-16.1137 + 15.2637i) q^{65} +(0.275930 - 0.692533i) q^{66} +(1.93747 + 0.652811i) q^{67} +(1.17148 + 7.14569i) q^{68} +(0.954085 + 0.903757i) q^{69} +(3.16768 - 1.46552i) q^{70} +(-4.18733 + 3.18313i) q^{71} +(-0.180947 + 1.10373i) q^{72} +(5.35233 - 10.0956i) q^{73} +(-2.48929 + 0.547933i) q^{74} +(8.14150 + 3.76666i) q^{75} +(3.21836 + 8.07748i) q^{76} +(-0.462596 - 8.53209i) q^{77} +(0.951173 + 1.40287i) q^{78} +(-0.599523 - 0.705814i) q^{79} +(6.15894 + 11.6170i) q^{80} +(-0.947653 + 0.319302i) q^{81} +(-0.0469589 + 0.866106i) q^{82} +(12.7103 - 7.64751i) q^{83} +(1.67916 + 6.04779i) q^{84} +(3.77409 - 13.5930i) q^{85} +(-0.477296 - 0.287179i) q^{86} +(-3.77708 + 5.57078i) q^{87} +(-2.90406 + 0.315836i) q^{88} +(7.65074 - 0.832068i) q^{89} +(0.598704 - 0.883022i) q^{90} +(16.6463 + 10.0157i) q^{91} +(0.674515 - 2.42938i) q^{92} +(2.14630 + 7.73026i) q^{93} +(-0.998255 + 0.600630i) q^{94} +(0.917105 - 16.9150i) q^{95} +(3.07135 - 1.03486i) q^{96} +(1.02668 + 1.93652i) q^{97} +(-0.684260 - 0.805573i) q^{98} +(-1.46570 - 2.16175i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.283755 + 0.0308602i 0.200645 + 0.0218215i 0.207890 0.978152i \(-0.433341\pi\)
−0.00724454 + 0.999974i \(0.502306\pi\)
\(3\) 0.647386 0.762162i 0.373769 0.440034i
\(4\) −1.87368 0.412427i −0.936838 0.206214i
\(5\) 2.97558 + 2.26198i 1.33072 + 1.01159i 0.997638 + 0.0686882i \(0.0218814\pi\)
0.333081 + 0.942898i \(0.391912\pi\)
\(6\) 0.207220 0.196289i 0.0845970 0.0801346i
\(7\) 1.21093 3.03920i 0.457687 1.14871i −0.501304 0.865271i \(-0.667146\pi\)
0.958991 0.283437i \(-0.0914746\pi\)
\(8\) −1.05991 0.357126i −0.374735 0.126263i
\(9\) −0.161782 0.986827i −0.0539273 0.328942i
\(10\) 0.774530 + 0.733674i 0.244928 + 0.232008i
\(11\) 2.37040 1.09666i 0.714702 0.330656i −0.0286197 0.999590i \(-0.509111\pi\)
0.743322 + 0.668934i \(0.233249\pi\)
\(12\) −1.52733 + 1.16105i −0.440902 + 0.335165i
\(13\) −0.960694 + 5.85997i −0.266448 + 1.62526i 0.426647 + 0.904418i \(0.359695\pi\)
−0.693096 + 0.720846i \(0.743754\pi\)
\(14\) 0.437397 0.825018i 0.116899 0.220495i
\(15\) 3.65034 0.803501i 0.942514 0.207463i
\(16\) 3.19269 + 1.47709i 0.798172 + 0.369274i
\(17\) −1.39701 3.50622i −0.338824 0.850384i −0.995372 0.0960996i \(-0.969363\pi\)
0.656548 0.754284i \(-0.272016\pi\)
\(18\) −0.0154528 0.285010i −0.00364225 0.0671774i
\(19\) −2.54337 3.75119i −0.583489 0.860582i 0.415304 0.909682i \(-0.363675\pi\)
−0.998794 + 0.0491000i \(0.984365\pi\)
\(20\) −4.64237 5.46542i −1.03807 1.22211i
\(21\) −1.53242 2.89046i −0.334402 0.630749i
\(22\) 0.706456 0.238033i 0.150617 0.0507487i
\(23\) −0.0711480 + 1.31225i −0.0148354 + 0.273622i 0.981699 + 0.190440i \(0.0609913\pi\)
−0.996534 + 0.0831829i \(0.973491\pi\)
\(24\) −0.958360 + 0.576626i −0.195624 + 0.117703i
\(25\) 2.39989 + 8.64363i 0.479978 + 1.72873i
\(26\) −0.453442 + 1.63315i −0.0889272 + 0.320287i
\(27\) −0.856857 0.515554i −0.164902 0.0992184i
\(28\) −3.52233 + 5.19505i −0.665658 + 0.981773i
\(29\) −6.69107 + 0.727697i −1.24250 + 0.135130i −0.705658 0.708553i \(-0.749348\pi\)
−0.536842 + 0.843683i \(0.680383\pi\)
\(30\) 1.06060 0.115347i 0.193638 0.0210594i
\(31\) −4.50223 + 6.64029i −0.808624 + 1.19263i 0.169689 + 0.985498i \(0.445724\pi\)
−0.978313 + 0.207133i \(0.933587\pi\)
\(32\) 2.77708 + 1.67091i 0.490923 + 0.295378i
\(33\) 0.698729 2.51659i 0.121633 0.438083i
\(34\) −0.288205 1.03802i −0.0494267 0.178019i
\(35\) 10.4778 6.30428i 1.77107 1.06562i
\(36\) −0.103867 + 1.91572i −0.0173112 + 0.319286i
\(37\) −8.46255 + 2.85137i −1.39124 + 0.468762i −0.912456 0.409174i \(-0.865817\pi\)
−0.478779 + 0.877936i \(0.658920\pi\)
\(38\) −0.605932 1.14291i −0.0982951 0.185404i
\(39\) 3.84431 + 4.52587i 0.615582 + 0.724719i
\(40\) −2.34604 3.46015i −0.370941 0.547098i
\(41\) 0.164521 + 3.03441i 0.0256939 + 0.473895i 0.982860 + 0.184355i \(0.0590196\pi\)
−0.957166 + 0.289540i \(0.906498\pi\)
\(42\) −0.345633 0.867472i −0.0533323 0.133854i
\(43\) −1.77119 0.819439i −0.270104 0.124963i 0.280162 0.959953i \(-0.409612\pi\)
−0.550266 + 0.834989i \(0.685474\pi\)
\(44\) −4.89366 + 1.07717i −0.737746 + 0.162390i
\(45\) 1.75078 3.30233i 0.260991 0.492282i
\(46\) −0.0606848 + 0.370161i −0.00894749 + 0.0545773i
\(47\) −3.24938 + 2.47011i −0.473970 + 0.360303i −0.814723 0.579850i \(-0.803111\pi\)
0.340753 + 0.940153i \(0.389318\pi\)
\(48\) 3.19269 1.47709i 0.460825 0.213200i
\(49\) −2.68840 2.54659i −0.384058 0.363799i
\(50\) 0.414237 + 2.52673i 0.0585819 + 0.357334i
\(51\) −3.57671 1.20514i −0.500840 0.168753i
\(52\) 4.21684 10.5835i 0.584771 1.46766i
\(53\) 8.29807 7.86035i 1.13983 1.07970i 0.143895 0.989593i \(-0.454037\pi\)
0.995932 0.0901088i \(-0.0287215\pi\)
\(54\) −0.227227 0.172734i −0.0309217 0.0235061i
\(55\) 9.53394 + 2.09858i 1.28556 + 0.282972i
\(56\) −2.36885 + 2.78883i −0.316551 + 0.372673i
\(57\) −4.50556 0.490009i −0.596776 0.0649033i
\(58\) −1.92108 −0.252250
\(59\) 5.82606 5.00570i 0.758489 0.651686i
\(60\) −7.17094 −0.925765
\(61\) 0.794486 + 0.0864056i 0.101724 + 0.0110631i 0.158839 0.987304i \(-0.449225\pi\)
−0.0571156 + 0.998368i \(0.518190\pi\)
\(62\) −1.48245 + 1.74528i −0.188271 + 0.221650i
\(63\) −3.19507 0.703287i −0.402540 0.0886059i
\(64\) −4.86458 3.69796i −0.608073 0.462245i
\(65\) −16.1137 + 15.2637i −1.99866 + 1.89323i
\(66\) 0.275930 0.692533i 0.0339647 0.0852449i
\(67\) 1.93747 + 0.652811i 0.236700 + 0.0797536i 0.435152 0.900357i \(-0.356695\pi\)
−0.198452 + 0.980111i \(0.563591\pi\)
\(68\) 1.17148 + 7.14569i 0.142062 + 0.866543i
\(69\) 0.954085 + 0.903757i 0.114858 + 0.108800i
\(70\) 3.16768 1.46552i 0.378610 0.175164i
\(71\) −4.18733 + 3.18313i −0.496945 + 0.377767i −0.823415 0.567440i \(-0.807934\pi\)
0.326470 + 0.945208i \(0.394141\pi\)
\(72\) −0.180947 + 1.10373i −0.0213248 + 0.130075i
\(73\) 5.35233 10.0956i 0.626443 1.18160i −0.343704 0.939078i \(-0.611682\pi\)
0.970147 0.242519i \(-0.0779735\pi\)
\(74\) −2.48929 + 0.547933i −0.289374 + 0.0636959i
\(75\) 8.14150 + 3.76666i 0.940099 + 0.434936i
\(76\) 3.21836 + 8.07748i 0.369171 + 0.926550i
\(77\) −0.462596 8.53209i −0.0527177 0.972322i
\(78\) 0.951173 + 1.40287i 0.107699 + 0.158844i
\(79\) −0.599523 0.705814i −0.0674517 0.0794102i 0.727401 0.686212i \(-0.240728\pi\)
−0.794853 + 0.606802i \(0.792452\pi\)
\(80\) 6.15894 + 11.6170i 0.688591 + 1.29882i
\(81\) −0.947653 + 0.319302i −0.105295 + 0.0354779i
\(82\) −0.0469589 + 0.866106i −0.00518575 + 0.0956455i
\(83\) 12.7103 7.64751i 1.39513 0.839423i 0.398170 0.917312i \(-0.369645\pi\)
0.996962 + 0.0778883i \(0.0248178\pi\)
\(84\) 1.67916 + 6.04779i 0.183212 + 0.659868i
\(85\) 3.77409 13.5930i 0.409357 1.47437i
\(86\) −0.477296 0.287179i −0.0514681 0.0309673i
\(87\) −3.77708 + 5.57078i −0.404946 + 0.597250i
\(88\) −2.90406 + 0.315836i −0.309574 + 0.0336682i
\(89\) 7.65074 0.832068i 0.810977 0.0881990i 0.306772 0.951783i \(-0.400751\pi\)
0.504205 + 0.863584i \(0.331786\pi\)
\(90\) 0.598704 0.883022i 0.0631089 0.0930787i
\(91\) 16.6463 + 10.0157i 1.74500 + 1.04993i
\(92\) 0.674515 2.42938i 0.0703230 0.253281i
\(93\) 2.14630 + 7.73026i 0.222560 + 0.801590i
\(94\) −0.998255 + 0.600630i −0.102962 + 0.0619503i
\(95\) 0.917105 16.9150i 0.0940930 1.73544i
\(96\) 3.07135 1.03486i 0.313468 0.105620i
\(97\) 1.02668 + 1.93652i 0.104243 + 0.196624i 0.930147 0.367188i \(-0.119679\pi\)
−0.825904 + 0.563811i \(0.809334\pi\)
\(98\) −0.684260 0.805573i −0.0691207 0.0813751i
\(99\) −1.46570 2.16175i −0.147309 0.217264i
\(100\) −0.931751 17.1851i −0.0931751 1.71851i
\(101\) −4.06859 10.2114i −0.404840 1.01607i −0.980171 0.198151i \(-0.936506\pi\)
0.575332 0.817920i \(-0.304873\pi\)
\(102\) −0.977720 0.452341i −0.0968087 0.0447885i
\(103\) −9.08327 + 1.99938i −0.895001 + 0.197005i −0.638575 0.769559i \(-0.720476\pi\)
−0.256426 + 0.966564i \(0.582545\pi\)
\(104\) 3.11100 5.86796i 0.305058 0.575401i
\(105\) 1.97830 12.0671i 0.193062 1.17763i
\(106\) 2.59719 1.97433i 0.252261 0.191764i
\(107\) −9.67165 + 4.47458i −0.934993 + 0.432574i −0.827395 0.561621i \(-0.810178\pi\)
−0.107598 + 0.994194i \(0.534316\pi\)
\(108\) 1.39284 + 1.31937i 0.134027 + 0.126957i
\(109\) 0.965339 + 5.88831i 0.0924627 + 0.563997i 0.991907 + 0.126963i \(0.0405229\pi\)
−0.899445 + 0.437034i \(0.856029\pi\)
\(110\) 2.64054 + 0.889701i 0.251766 + 0.0848297i
\(111\) −3.30534 + 8.29577i −0.313729 + 0.787400i
\(112\) 8.35529 7.91455i 0.789501 0.747855i
\(113\) 10.0639 + 7.65041i 0.946736 + 0.719690i 0.959935 0.280223i \(-0.0904084\pi\)
−0.0131989 + 0.999913i \(0.504201\pi\)
\(114\) −1.26335 0.278085i −0.118324 0.0260451i
\(115\) −3.17998 + 3.74376i −0.296534 + 0.349107i
\(116\) 12.8370 + 1.39611i 1.19189 + 0.129626i
\(117\) 5.93820 0.548987
\(118\) 1.80765 1.24060i 0.166408 0.114206i
\(119\) −12.3478 −1.13192
\(120\) −4.15599 0.451991i −0.379388 0.0412609i
\(121\) −2.70513 + 3.18472i −0.245921 + 0.289520i
\(122\) 0.222773 + 0.0490360i 0.0201689 + 0.00443952i
\(123\) 2.41922 + 1.83904i 0.218134 + 0.165821i
\(124\) 11.1744 10.5849i 1.00349 0.950553i
\(125\) −5.49323 + 13.7870i −0.491330 + 1.23314i
\(126\) −0.884912 0.298162i −0.0788343 0.0265624i
\(127\) 1.36702 + 8.33843i 0.121303 + 0.739916i 0.975505 + 0.219975i \(0.0705977\pi\)
−0.854202 + 0.519941i \(0.825954\pi\)
\(128\) −5.97214 5.65711i −0.527867 0.500023i
\(129\) −1.77119 + 0.819439i −0.155944 + 0.0721476i
\(130\) −5.04340 + 3.83389i −0.442335 + 0.336254i
\(131\) 0.135779 0.828214i 0.0118631 0.0723614i −0.980232 0.197854i \(-0.936603\pi\)
0.992095 + 0.125493i \(0.0400511\pi\)
\(132\) −2.34710 + 4.42711i −0.204289 + 0.385330i
\(133\) −14.4804 + 3.18739i −1.25561 + 0.276382i
\(134\) 0.529622 + 0.245029i 0.0457524 + 0.0211673i
\(135\) −1.38348 3.47226i −0.119071 0.298845i
\(136\) 0.228541 + 4.21519i 0.0195972 + 0.361450i
\(137\) 3.14137 + 4.63317i 0.268385 + 0.395838i 0.937870 0.346987i \(-0.112795\pi\)
−0.669485 + 0.742826i \(0.733485\pi\)
\(138\) 0.242836 + 0.285889i 0.0206716 + 0.0243365i
\(139\) −6.66225 12.5663i −0.565085 1.06586i −0.987225 0.159332i \(-0.949066\pi\)
0.422140 0.906531i \(-0.361279\pi\)
\(140\) −22.2321 + 7.49085i −1.87895 + 0.633093i
\(141\) −0.220976 + 4.07567i −0.0186096 + 0.343233i
\(142\) −1.28641 + 0.774006i −0.107953 + 0.0649531i
\(143\) 4.14919 + 14.9440i 0.346973 + 1.24968i
\(144\) 0.941117 3.38960i 0.0784264 0.282466i
\(145\) −21.5558 12.9697i −1.79011 1.07708i
\(146\) 1.83030 2.69949i 0.151477 0.223412i
\(147\) −3.68135 + 0.400371i −0.303633 + 0.0330220i
\(148\) 17.0321 1.85235i 1.40003 0.152262i
\(149\) 1.79235 2.64352i 0.146835 0.216566i −0.747158 0.664647i \(-0.768582\pi\)
0.893993 + 0.448081i \(0.147892\pi\)
\(150\) 2.19395 + 1.32006i 0.179135 + 0.107782i
\(151\) 0.768403 2.76754i 0.0625317 0.225219i −0.925681 0.378305i \(-0.876507\pi\)
0.988213 + 0.153086i \(0.0489210\pi\)
\(152\) 1.35610 + 4.88423i 0.109994 + 0.396164i
\(153\) −3.23402 + 1.94585i −0.261455 + 0.157312i
\(154\) 0.132038 2.43530i 0.0106399 0.196242i
\(155\) −28.4169 + 9.57477i −2.28250 + 0.769064i
\(156\) −5.33640 10.0655i −0.427254 0.805886i
\(157\) 4.89206 + 5.75938i 0.390429 + 0.459649i 0.921900 0.387428i \(-0.126636\pi\)
−0.531471 + 0.847077i \(0.678361\pi\)
\(158\) −0.148336 0.218780i −0.0118010 0.0174052i
\(159\) −0.618803 11.4132i −0.0490743 0.905122i
\(160\) 4.48385 + 11.2536i 0.354479 + 0.889676i
\(161\) 3.90202 + 1.80527i 0.307522 + 0.142275i
\(162\) −0.278755 + 0.0613586i −0.0219011 + 0.00482079i
\(163\) 2.60838 4.91993i 0.204304 0.385358i −0.760094 0.649813i \(-0.774847\pi\)
0.964398 + 0.264455i \(0.0851920\pi\)
\(164\) 0.943215 5.75336i 0.0736527 0.449262i
\(165\) 7.77160 5.90781i 0.605018 0.459923i
\(166\) 3.84260 1.77778i 0.298244 0.137982i
\(167\) 14.3958 + 13.6365i 1.11398 + 1.05522i 0.998079 + 0.0619610i \(0.0197354\pi\)
0.115905 + 0.993260i \(0.463023\pi\)
\(168\) 0.591976 + 3.61090i 0.0456720 + 0.278587i
\(169\) −21.0969 7.10836i −1.62283 0.546797i
\(170\) 1.49040 3.74062i 0.114309 0.286893i
\(171\) −3.29030 + 3.11674i −0.251616 + 0.238343i
\(172\) 2.98067 + 2.26585i 0.227274 + 0.172769i
\(173\) 5.11348 + 1.12556i 0.388771 + 0.0855749i 0.405055 0.914293i \(-0.367253\pi\)
−0.0162839 + 0.999867i \(0.505184\pi\)
\(174\) −1.24368 + 1.46417i −0.0942832 + 0.110999i
\(175\) 29.1758 + 3.17306i 2.20548 + 0.239860i
\(176\) 9.18782 0.692558
\(177\) −0.0434401 7.68102i −0.00326516 0.577341i
\(178\) 2.19661 0.164643
\(179\) 8.91210 + 0.969249i 0.666122 + 0.0724451i 0.434932 0.900464i \(-0.356773\pi\)
0.231190 + 0.972909i \(0.425738\pi\)
\(180\) −4.64237 + 5.46542i −0.346022 + 0.407368i
\(181\) −20.0130 4.40520i −1.48756 0.327436i −0.604462 0.796634i \(-0.706612\pi\)
−0.883093 + 0.469198i \(0.844543\pi\)
\(182\) 4.41438 + 3.35572i 0.327215 + 0.248743i
\(183\) 0.580195 0.549590i 0.0428892 0.0406268i
\(184\) 0.544048 1.36546i 0.0401077 0.100663i
\(185\) −31.6307 10.6576i −2.32554 0.783564i
\(186\) 0.370465 + 2.25973i 0.0271638 + 0.165692i
\(187\) −7.15661 6.77910i −0.523343 0.495737i
\(188\) 7.10702 3.28806i 0.518333 0.239806i
\(189\) −2.60446 + 1.97986i −0.189447 + 0.144014i
\(190\) 0.782234 4.77142i 0.0567492 0.346155i
\(191\) 5.39460 10.1753i 0.390339 0.736258i −0.607996 0.793940i \(-0.708026\pi\)
0.998335 + 0.0576823i \(0.0183711\pi\)
\(192\) −5.96771 + 1.31359i −0.430682 + 0.0948003i
\(193\) 5.18643 + 2.39950i 0.373328 + 0.172720i 0.597576 0.801812i \(-0.296131\pi\)
−0.224248 + 0.974532i \(0.571993\pi\)
\(194\) 0.231563 + 0.581181i 0.0166253 + 0.0417263i
\(195\) 1.20163 + 22.1628i 0.0860507 + 1.58711i
\(196\) 3.98692 + 5.88026i 0.284780 + 0.420019i
\(197\) −1.28936 1.51795i −0.0918632 0.108150i 0.714310 0.699830i \(-0.246741\pi\)
−0.806173 + 0.591680i \(0.798465\pi\)
\(198\) −0.349189 0.658640i −0.0248158 0.0468075i
\(199\) 4.58470 1.54477i 0.325001 0.109506i −0.152072 0.988369i \(-0.548594\pi\)
0.477072 + 0.878864i \(0.341698\pi\)
\(200\) 0.543189 10.0185i 0.0384093 0.708418i
\(201\) 1.75184 1.05405i 0.123565 0.0743468i
\(202\) −0.839357 3.02309i −0.0590570 0.212704i
\(203\) −5.89077 + 21.2167i −0.413451 + 1.48912i
\(204\) 6.20457 + 3.73317i 0.434407 + 0.261374i
\(205\) −6.37422 + 9.40127i −0.445195 + 0.656613i
\(206\) −2.63912 + 0.287022i −0.183876 + 0.0199978i
\(207\) 1.30647 0.142087i 0.0908060 0.00987575i
\(208\) −11.7229 + 17.2900i −0.812839 + 1.19885i
\(209\) −10.1426 6.10260i −0.701578 0.422126i
\(210\) 0.933745 3.36305i 0.0644345 0.232072i
\(211\) −4.48587 16.1566i −0.308820 1.11227i −0.941266 0.337665i \(-0.890363\pi\)
0.632446 0.774604i \(-0.282051\pi\)
\(212\) −18.7897 + 11.3054i −1.29048 + 0.776458i
\(213\) −0.284763 + 5.25214i −0.0195116 + 0.359870i
\(214\) −2.88246 + 0.971215i −0.197041 + 0.0663909i
\(215\) −3.41676 6.44469i −0.233021 0.439524i
\(216\) 0.724075 + 0.852447i 0.0492671 + 0.0580017i
\(217\) 14.7293 + 21.7241i 0.999888 + 1.47472i
\(218\) 0.0922053 + 1.70063i 0.00624493 + 0.115181i
\(219\) −4.22943 10.6151i −0.285799 0.717300i
\(220\) −16.9980 7.86411i −1.14600 0.530198i
\(221\) 21.8885 4.81802i 1.47238 0.324095i
\(222\) −1.19392 + 2.25196i −0.0801304 + 0.151142i
\(223\) −1.30216 + 7.94280i −0.0871988 + 0.531889i 0.906716 + 0.421741i \(0.138581\pi\)
−0.993915 + 0.110148i \(0.964867\pi\)
\(224\) 8.44107 6.41673i 0.563993 0.428736i
\(225\) 8.14150 3.76666i 0.542767 0.251111i
\(226\) 2.61960 + 2.48142i 0.174253 + 0.165061i
\(227\) −2.19236 13.3728i −0.145512 0.887583i −0.954161 0.299293i \(-0.903249\pi\)
0.808649 0.588291i \(-0.200199\pi\)
\(228\) 8.23987 + 2.77633i 0.545699 + 0.183867i
\(229\) −6.87242 + 17.2485i −0.454142 + 1.13981i 0.506554 + 0.862209i \(0.330919\pi\)
−0.960696 + 0.277603i \(0.910460\pi\)
\(230\) −1.01787 + 0.964176i −0.0671162 + 0.0635759i
\(231\) −6.80231 5.17098i −0.447559 0.340226i
\(232\) 7.35182 + 1.61826i 0.482670 + 0.106244i
\(233\) 2.11069 2.48489i 0.138276 0.162791i −0.688665 0.725079i \(-0.741803\pi\)
0.826941 + 0.562288i \(0.190079\pi\)
\(234\) 1.68499 + 0.183254i 0.110151 + 0.0119797i
\(235\) −15.2561 −0.995199
\(236\) −12.9806 + 6.97623i −0.844968 + 0.454114i
\(237\) −0.926068 −0.0601546
\(238\) −3.50374 0.381055i −0.227114 0.0247001i
\(239\) 8.79762 10.3574i 0.569071 0.669962i −0.400066 0.916487i \(-0.631013\pi\)
0.969137 + 0.246524i \(0.0792885\pi\)
\(240\) 12.8412 + 2.82657i 0.828899 + 0.182454i
\(241\) −18.4908 14.0563i −1.19110 0.905449i −0.193956 0.981010i \(-0.562132\pi\)
−0.997141 + 0.0755614i \(0.975925\pi\)
\(242\) −0.865875 + 0.820200i −0.0556605 + 0.0527245i
\(243\) −0.370138 + 0.928977i −0.0237444 + 0.0595939i
\(244\) −1.45297 0.489564i −0.0930172 0.0313411i
\(245\) −2.23923 13.6587i −0.143059 0.872622i
\(246\) 0.629713 + 0.596496i 0.0401490 + 0.0380312i
\(247\) 24.4253 11.3003i 1.55414 0.719023i
\(248\) 7.14338 5.43026i 0.453605 0.344822i
\(249\) 2.39981 14.6382i 0.152082 0.927656i
\(250\) −1.98420 + 3.74260i −0.125492 + 0.236703i
\(251\) 16.3467 3.59818i 1.03179 0.227115i 0.333368 0.942797i \(-0.391815\pi\)
0.698427 + 0.715682i \(0.253884\pi\)
\(252\) 5.69647 + 2.63547i 0.358844 + 0.166019i
\(253\) 1.27044 + 3.18857i 0.0798722 + 0.200464i
\(254\) 0.130572 + 2.40826i 0.00819281 + 0.151108i
\(255\) −7.91681 11.6764i −0.495770 0.731205i
\(256\) 6.39175 + 7.52495i 0.399485 + 0.470310i
\(257\) −12.1177 22.8563i −0.755879 1.42574i −0.899869 0.436160i \(-0.856338\pi\)
0.143990 0.989579i \(-0.454007\pi\)
\(258\) −0.527872 + 0.177861i −0.0328639 + 0.0110731i
\(259\) −1.58167 + 29.1722i −0.0982801 + 1.81267i
\(260\) 36.4871 21.9536i 2.26283 1.36150i
\(261\) 1.80061 + 6.48519i 0.111455 + 0.401423i
\(262\) 0.0640868 0.230820i 0.00395930 0.0142601i
\(263\) 13.8000 + 8.30316i 0.850942 + 0.511995i 0.872976 0.487762i \(-0.162187\pi\)
−0.0220343 + 0.999757i \(0.507014\pi\)
\(264\) −1.63933 + 2.41783i −0.100894 + 0.148807i
\(265\) 42.4715 4.61905i 2.60900 0.283746i
\(266\) −4.20726 + 0.457567i −0.257964 + 0.0280553i
\(267\) 4.31881 6.36977i 0.264307 0.389824i
\(268\) −3.36096 2.02222i −0.205303 0.123527i
\(269\) 1.72298 6.20561i 0.105052 0.378363i −0.892270 0.451503i \(-0.850888\pi\)
0.997322 + 0.0731398i \(0.0233019\pi\)
\(270\) −0.285413 1.02797i −0.0173697 0.0625600i
\(271\) 13.5937 8.17906i 0.825759 0.496843i −0.0388754 0.999244i \(-0.512378\pi\)
0.864635 + 0.502401i \(0.167550\pi\)
\(272\) 0.718817 13.2578i 0.0435847 0.803872i
\(273\) 18.4102 6.20311i 1.11424 0.375429i
\(274\) 0.748398 + 1.41163i 0.0452124 + 0.0852796i
\(275\) 15.1678 + 17.8570i 0.914656 + 1.07682i
\(276\) −1.41491 2.08684i −0.0851677 0.125613i
\(277\) 0.545377 + 10.0589i 0.0327685 + 0.604380i 0.968093 + 0.250590i \(0.0806245\pi\)
−0.935325 + 0.353790i \(0.884893\pi\)
\(278\) −1.50265 3.77136i −0.0901228 0.226191i
\(279\) 7.28119 + 3.36864i 0.435913 + 0.201675i
\(280\) −13.3570 + 2.94009i −0.798231 + 0.175704i
\(281\) −14.9983 + 28.2898i −0.894725 + 1.68763i −0.185504 + 0.982643i \(0.559392\pi\)
−0.709221 + 0.704987i \(0.750953\pi\)
\(282\) −0.188479 + 1.14967i −0.0112238 + 0.0684620i
\(283\) −4.32830 + 3.29028i −0.257290 + 0.195587i −0.725866 0.687836i \(-0.758561\pi\)
0.468575 + 0.883424i \(0.344767\pi\)
\(284\) 9.15851 4.23718i 0.543458 0.251430i
\(285\) −12.2983 11.6495i −0.728486 0.690059i
\(286\) 0.716177 + 4.36849i 0.0423485 + 0.258314i
\(287\) 9.42139 + 3.17444i 0.556127 + 0.187381i
\(288\) 1.19962 3.01082i 0.0706882 0.177414i
\(289\) 1.99995 1.89445i 0.117644 0.111438i
\(290\) −5.71633 4.34544i −0.335674 0.255173i
\(291\) 2.14060 + 0.471181i 0.125484 + 0.0276211i
\(292\) −14.1922 + 16.7084i −0.830537 + 0.977784i
\(293\) −4.07829 0.443541i −0.238256 0.0259119i −0.0117882 0.999931i \(-0.503752\pi\)
−0.226468 + 0.974019i \(0.572718\pi\)
\(294\) −1.05696 −0.0616430
\(295\) 28.6587 1.71643i 1.66857 0.0999346i
\(296\) 9.98785 0.580532
\(297\) −2.59648 0.282384i −0.150663 0.0163856i
\(298\) 0.590169 0.694800i 0.0341876 0.0402487i
\(299\) −7.62138 1.67759i −0.440756 0.0970177i
\(300\) −13.7011 10.4153i −0.791031 0.601326i
\(301\) −4.63522 + 4.39071i −0.267169 + 0.253076i
\(302\) 0.303445 0.761590i 0.0174613 0.0438246i
\(303\) −10.4167 3.50979i −0.598423 0.201632i
\(304\) −2.57933 15.7332i −0.147934 0.902360i
\(305\) 2.16861 + 2.05422i 0.124174 + 0.117624i
\(306\) −0.977720 + 0.452341i −0.0558925 + 0.0258586i
\(307\) 25.1247 19.0993i 1.43394 1.09005i 0.453949 0.891028i \(-0.350015\pi\)
0.979994 0.199027i \(-0.0637781\pi\)
\(308\) −2.65211 + 16.1772i −0.151118 + 0.921779i
\(309\) −4.35653 + 8.21729i −0.247834 + 0.467465i
\(310\) −8.35892 + 1.83994i −0.474755 + 0.104501i
\(311\) −20.9212 9.67919i −1.18633 0.548857i −0.275369 0.961339i \(-0.588800\pi\)
−0.910966 + 0.412482i \(0.864662\pi\)
\(312\) −2.45832 6.16992i −0.139175 0.349303i
\(313\) 1.68271 + 31.0358i 0.0951126 + 1.75425i 0.524758 + 0.851251i \(0.324156\pi\)
−0.429646 + 0.902998i \(0.641362\pi\)
\(314\) 1.21041 + 1.78522i 0.0683075 + 0.100746i
\(315\) −7.91635 9.31985i −0.446036 0.525114i
\(316\) 0.832216 + 1.56973i 0.0468158 + 0.0883040i
\(317\) 17.3315 5.83967i 0.973435 0.327988i 0.212748 0.977107i \(-0.431759\pi\)
0.760687 + 0.649119i \(0.224862\pi\)
\(318\) 0.176624 3.25764i 0.00990458 0.182679i
\(319\) −15.0625 + 9.06278i −0.843336 + 0.507418i
\(320\) −6.11025 22.0071i −0.341573 1.23024i
\(321\) −2.85094 + 10.2681i −0.159124 + 0.573112i
\(322\) 1.05151 + 0.632671i 0.0585982 + 0.0352574i
\(323\) −9.59941 + 14.1581i −0.534125 + 0.787776i
\(324\) 1.90728 0.207430i 0.105960 0.0115239i
\(325\) −52.9570 + 5.75942i −2.93752 + 0.319475i
\(326\) 0.891971 1.31556i 0.0494017 0.0728621i
\(327\) 5.11279 + 3.07626i 0.282738 + 0.170118i
\(328\) 0.909289 3.27496i 0.0502071 0.180829i
\(329\) 3.57240 + 12.8666i 0.196953 + 0.709359i
\(330\) 2.38755 1.43654i 0.131430 0.0790788i
\(331\) 1.35192 24.9347i 0.0743084 1.37054i −0.689121 0.724646i \(-0.742003\pi\)
0.763429 0.645891i \(-0.223514\pi\)
\(332\) −26.9690 + 9.08690i −1.48011 + 0.498708i
\(333\) 4.18289 + 7.88977i 0.229221 + 0.432357i
\(334\) 3.66407 + 4.31367i 0.200489 + 0.236034i
\(335\) 4.28846 + 6.32501i 0.234304 + 0.345572i
\(336\) −0.623071 11.4919i −0.0339913 0.626932i
\(337\) 6.76919 + 16.9894i 0.368741 + 0.925471i 0.989898 + 0.141784i \(0.0452839\pi\)
−0.621156 + 0.783687i \(0.713337\pi\)
\(338\) −5.76697 2.66809i −0.313682 0.145125i
\(339\) 12.3461 2.71758i 0.670549 0.147599i
\(340\) −12.6776 + 23.9124i −0.687537 + 1.29683i
\(341\) −3.38991 + 20.6776i −0.183574 + 1.11975i
\(342\) −1.02982 + 0.782852i −0.0556865 + 0.0423318i
\(343\) 9.78922 4.52897i 0.528568 0.244542i
\(344\) 1.58466 + 1.50107i 0.0854391 + 0.0809323i
\(345\) 0.794677 + 4.84732i 0.0427840 + 0.260971i
\(346\) 1.41624 + 0.477187i 0.0761376 + 0.0256537i
\(347\) −9.68061 + 24.2965i −0.519682 + 1.30430i 0.401745 + 0.915752i \(0.368404\pi\)
−0.921427 + 0.388552i \(0.872975\pi\)
\(348\) 9.37457 8.88006i 0.502530 0.476021i
\(349\) −8.90940 6.77275i −0.476909 0.362537i 0.338934 0.940810i \(-0.389934\pi\)
−0.815843 + 0.578273i \(0.803727\pi\)
\(350\) 8.18085 + 1.80074i 0.437285 + 0.0962537i
\(351\) 3.84431 4.52587i 0.205194 0.241573i
\(352\) 8.41521 + 0.915209i 0.448532 + 0.0487808i
\(353\) 26.7447 1.42348 0.711738 0.702445i \(-0.247908\pi\)
0.711738 + 0.702445i \(0.247908\pi\)
\(354\) 0.224712 2.18087i 0.0119433 0.115912i
\(355\) −19.6599 −1.04344
\(356\) −14.6782 1.59635i −0.777942 0.0846063i
\(357\) −7.99378 + 9.41101i −0.423076 + 0.498083i
\(358\) 2.49894 + 0.550059i 0.132073 + 0.0290715i
\(359\) −5.68092 4.31853i −0.299828 0.227923i 0.444433 0.895812i \(-0.353405\pi\)
−0.744261 + 0.667889i \(0.767198\pi\)
\(360\) −3.03502 + 2.87492i −0.159960 + 0.151522i
\(361\) −0.570079 + 1.43079i −0.0300041 + 0.0753047i
\(362\) −5.54285 1.86760i −0.291326 0.0981590i
\(363\) 0.676012 + 4.12349i 0.0354814 + 0.216427i
\(364\) −27.0590 25.6316i −1.41828 1.34346i
\(365\) 38.7622 17.9333i 2.02891 0.938672i
\(366\) 0.181594 0.138044i 0.00949205 0.00721567i
\(367\) 1.98543 12.1106i 0.103638 0.632166i −0.883017 0.469342i \(-0.844491\pi\)
0.986655 0.162825i \(-0.0520605\pi\)
\(368\) −2.16547 + 4.08450i −0.112883 + 0.212920i
\(369\) 2.96782 0.653267i 0.154499 0.0340077i
\(370\) −8.64648 4.00029i −0.449509 0.207965i
\(371\) −13.8408 34.7378i −0.718578 1.80349i
\(372\) −0.833293 15.3692i −0.0432042 0.796855i
\(373\) −3.18980 4.70460i −0.165161 0.243595i 0.736098 0.676875i \(-0.236666\pi\)
−0.901259 + 0.433280i \(0.857356\pi\)
\(374\) −1.82152 2.14446i −0.0941885 0.110887i
\(375\) 6.95167 + 13.1122i 0.358982 + 0.677113i
\(376\) 4.32619 1.45766i 0.223106 0.0751733i
\(377\) 2.16378 39.9086i 0.111440 2.05540i
\(378\) −0.800128 + 0.481421i −0.0411541 + 0.0247616i
\(379\) 0.937115 + 3.37518i 0.0481363 + 0.173371i 0.983711 0.179758i \(-0.0575314\pi\)
−0.935575 + 0.353129i \(0.885118\pi\)
\(380\) −8.69457 + 31.3150i −0.446022 + 1.60643i
\(381\) 7.24022 + 4.35630i 0.370928 + 0.223180i
\(382\) 1.84476 2.72081i 0.0943859 0.139209i
\(383\) −13.0737 + 1.42185i −0.668035 + 0.0726532i −0.435851 0.900019i \(-0.643553\pi\)
−0.232184 + 0.972672i \(0.574587\pi\)
\(384\) −8.17791 + 0.889402i −0.417327 + 0.0453871i
\(385\) 17.9229 26.4343i 0.913435 1.34722i
\(386\) 1.39763 + 0.840925i 0.0711374 + 0.0428019i
\(387\) −0.522098 + 1.88043i −0.0265397 + 0.0955874i
\(388\) −1.12499 4.05184i −0.0571126 0.205701i
\(389\) −10.2297 + 6.15503i −0.518669 + 0.312073i −0.750708 0.660634i \(-0.770288\pi\)
0.232040 + 0.972706i \(0.425460\pi\)
\(390\) −0.342980 + 6.32589i −0.0173675 + 0.320324i
\(391\) 4.70043 1.58376i 0.237711 0.0800941i
\(392\) 1.94002 + 3.65926i 0.0979856 + 0.184821i
\(393\) −0.543332 0.639660i −0.0274075 0.0322666i
\(394\) −0.319018 0.470517i −0.0160719 0.0237043i
\(395\) −0.187396 3.45631i −0.00942890 0.173906i
\(396\) 1.85469 + 4.65492i 0.0932017 + 0.233919i
\(397\) 10.5840 + 4.89667i 0.531195 + 0.245757i 0.667104 0.744964i \(-0.267534\pi\)
−0.135909 + 0.990721i \(0.543396\pi\)
\(398\) 1.34860 0.296850i 0.0675994 0.0148798i
\(399\) −6.94514 + 13.0999i −0.347692 + 0.655816i
\(400\) −5.10535 + 31.1413i −0.255268 + 1.55706i
\(401\) −12.8970 + 9.80402i −0.644044 + 0.489590i −0.875476 0.483261i \(-0.839452\pi\)
0.231432 + 0.972851i \(0.425659\pi\)
\(402\) 0.529622 0.245029i 0.0264152 0.0122210i
\(403\) −34.5866 32.7622i −1.72288 1.63200i
\(404\) 3.41177 + 20.8108i 0.169742 + 1.03538i
\(405\) −3.54207 1.19346i −0.176007 0.0593036i
\(406\) −2.32629 + 5.83854i −0.115452 + 0.289762i
\(407\) −16.9326 + 16.0394i −0.839320 + 0.795046i
\(408\) 3.36061 + 2.55467i 0.166375 + 0.126475i
\(409\) −37.8446 8.33022i −1.87129 0.411903i −0.874033 0.485867i \(-0.838504\pi\)
−0.997261 + 0.0739637i \(0.976435\pi\)
\(410\) −2.09884 + 2.47095i −0.103654 + 0.122031i
\(411\) 5.56491 + 0.605220i 0.274497 + 0.0298533i
\(412\) 17.8437 0.879096
\(413\) −8.15836 23.7681i −0.401447 1.16955i
\(414\) 0.375102 0.0184353
\(415\) 55.1189 + 5.99454i 2.70568 + 0.294260i
\(416\) −12.4594 + 14.6684i −0.610873 + 0.719176i
\(417\) −13.8906 3.05756i −0.680227 0.149729i
\(418\) −2.68969 2.04465i −0.131557 0.100007i
\(419\) −8.32209 + 7.88310i −0.406561 + 0.385115i −0.863471 0.504398i \(-0.831714\pi\)
0.456911 + 0.889513i \(0.348956\pi\)
\(420\) −8.68349 + 21.7939i −0.423711 + 1.06343i
\(421\) 10.7532 + 3.62316i 0.524077 + 0.176582i 0.568891 0.822413i \(-0.307373\pi\)
−0.0448133 + 0.998995i \(0.514269\pi\)
\(422\) −0.774291 4.72296i −0.0376919 0.229910i
\(423\) 2.96326 + 2.80695i 0.144079 + 0.136479i
\(424\) −11.6023 + 5.36782i −0.563460 + 0.260684i
\(425\) 26.9538 20.4898i 1.30745 0.993899i
\(426\) −0.242885 + 1.48153i −0.0117678 + 0.0717805i
\(427\) 1.22467 2.30997i 0.0592659 0.111787i
\(428\) 19.9670 4.39506i 0.965140 0.212443i
\(429\) 14.0759 + 6.51221i 0.679591 + 0.314412i
\(430\) −0.770638 1.93416i −0.0371635 0.0932732i
\(431\) 0.352727 + 6.50567i 0.0169903 + 0.313367i 0.994659 + 0.103215i \(0.0329131\pi\)
−0.977669 + 0.210152i \(0.932604\pi\)
\(432\) −1.97416 2.91166i −0.0949816 0.140087i
\(433\) 3.24920 + 3.82526i 0.156147 + 0.183830i 0.834673 0.550746i \(-0.185657\pi\)
−0.678526 + 0.734576i \(0.737381\pi\)
\(434\) 3.50910 + 6.61886i 0.168442 + 0.317715i
\(435\) −23.8400 + 8.03262i −1.14304 + 0.385135i
\(436\) 0.619766 11.4309i 0.0296814 0.547441i
\(437\) 5.10345 3.07064i 0.244131 0.146889i
\(438\) −0.872539 3.14260i −0.0416915 0.150159i
\(439\) −1.74395 + 6.28113i −0.0832341 + 0.299782i −0.993437 0.114380i \(-0.963512\pi\)
0.910203 + 0.414163i \(0.135926\pi\)
\(440\) −9.35567 5.62912i −0.446014 0.268358i
\(441\) −2.07811 + 3.06498i −0.0989576 + 0.145951i
\(442\) 6.35965 0.691653i 0.302498 0.0328986i
\(443\) −18.4835 + 2.01020i −0.878177 + 0.0955075i −0.536090 0.844161i \(-0.680099\pi\)
−0.342087 + 0.939668i \(0.611134\pi\)
\(444\) 9.61454 14.1804i 0.456286 0.672971i
\(445\) 24.6475 + 14.8299i 1.16840 + 0.703005i
\(446\) −0.614610 + 2.21362i −0.0291026 + 0.104818i
\(447\) −0.854448 3.07744i −0.0404140 0.145558i
\(448\) −17.1295 + 10.3065i −0.809292 + 0.486935i
\(449\) 0.174731 3.22273i 0.00824609 0.152090i −0.991510 0.130027i \(-0.958494\pi\)
0.999757 0.0220634i \(-0.00702356\pi\)
\(450\) 2.42643 0.817560i 0.114383 0.0385401i
\(451\) 3.71771 + 7.01234i 0.175060 + 0.330198i
\(452\) −15.7013 18.4850i −0.738529 0.869463i
\(453\) −1.61186 2.37731i −0.0757317 0.111696i
\(454\) −0.209405 3.86225i −0.00982788 0.181265i
\(455\) 26.8770 + 67.4561i 1.26001 + 3.16239i
\(456\) 4.60050 + 2.12842i 0.215438 + 0.0996723i
\(457\) 31.1408 6.85460i 1.45670 0.320645i 0.585142 0.810931i \(-0.301039\pi\)
0.871561 + 0.490286i \(0.163108\pi\)
\(458\) −2.48238 + 4.68226i −0.115994 + 0.218788i
\(459\) −0.610611 + 3.72457i −0.0285009 + 0.173848i
\(460\) 7.50228 5.70308i 0.349796 0.265908i
\(461\) 18.6855 8.64482i 0.870269 0.402629i 0.0666519 0.997776i \(-0.478768\pi\)
0.803617 + 0.595147i \(0.202906\pi\)
\(462\) −1.77061 1.67721i −0.0823763 0.0780310i
\(463\) 5.14584 + 31.3882i 0.239147 + 1.45873i 0.784292 + 0.620392i \(0.213027\pi\)
−0.545144 + 0.838342i \(0.683525\pi\)
\(464\) −22.4374 7.56003i −1.04163 0.350966i
\(465\) −11.0992 + 27.8569i −0.514712 + 1.29183i
\(466\) 0.675603 0.639965i 0.0312967 0.0296458i
\(467\) −32.6637 24.8303i −1.51150 1.14901i −0.945958 0.324289i \(-0.894875\pi\)
−0.565540 0.824721i \(-0.691332\pi\)
\(468\) −11.1263 2.44908i −0.514312 0.113209i
\(469\) 4.33016 5.09786i 0.199948 0.235397i
\(470\) −4.32900 0.470807i −0.199682 0.0217167i
\(471\) 7.55664 0.348191
\(472\) −7.96277 + 3.22496i −0.366516 + 0.148441i
\(473\) −5.09707 −0.234364
\(474\) −0.262776 0.0285786i −0.0120697 0.00131266i
\(475\) 26.3201 30.9864i 1.20765 1.42175i
\(476\) 23.1357 + 5.09256i 1.06042 + 0.233417i
\(477\) −9.09928 6.91709i −0.416627 0.316712i
\(478\) 2.81600 2.66746i 0.128801 0.122007i
\(479\) 10.1384 25.4454i 0.463234 1.16263i −0.493000 0.870029i \(-0.664100\pi\)
0.956235 0.292601i \(-0.0945208\pi\)
\(480\) 11.4799 + 3.86802i 0.523982 + 0.176550i
\(481\) −8.57901 52.3296i −0.391169 2.38603i
\(482\) −4.81308 4.55919i −0.219230 0.207665i
\(483\) 3.90202 1.80527i 0.177548 0.0821425i
\(484\) 6.38200 4.85147i 0.290091 0.220521i
\(485\) −1.32540 + 8.08459i −0.0601833 + 0.367102i
\(486\) −0.133697 + 0.252179i −0.00606462 + 0.0114391i
\(487\) −11.9192 + 2.62362i −0.540112 + 0.118888i −0.476644 0.879096i \(-0.658147\pi\)
−0.0634675 + 0.997984i \(0.520216\pi\)
\(488\) −0.811228 0.375314i −0.0367225 0.0169897i
\(489\) −2.06115 5.17310i −0.0932085 0.233936i
\(490\) −0.213882 3.94482i −0.00966221 0.178209i
\(491\) 13.1851 + 19.4466i 0.595035 + 0.877611i 0.999314 0.0370243i \(-0.0117879\pi\)
−0.404279 + 0.914636i \(0.632478\pi\)
\(492\) −3.77437 4.44353i −0.170162 0.200330i
\(493\) 11.8989 + 22.4438i 0.535901 + 1.01082i
\(494\) 7.27953 2.45276i 0.327521 0.110355i
\(495\) 0.528513 9.74785i 0.0237549 0.438133i
\(496\) −24.1825 + 14.5502i −1.08583 + 0.653321i
\(497\) 4.60359 + 16.5806i 0.206499 + 0.743744i
\(498\) 1.13269 4.07960i 0.0507572 0.182811i
\(499\) −13.4208 8.07505i −0.600799 0.361489i 0.182433 0.983218i \(-0.441603\pi\)
−0.783232 + 0.621730i \(0.786430\pi\)
\(500\) 15.9787 23.5668i 0.714588 1.05394i
\(501\) 19.7129 2.14390i 0.880706 0.0957825i
\(502\) 4.74950 0.516539i 0.211980 0.0230543i
\(503\) −6.49477 + 9.57907i −0.289588 + 0.427110i −0.944458 0.328631i \(-0.893413\pi\)
0.654871 + 0.755741i \(0.272723\pi\)
\(504\) 3.13532 + 1.88646i 0.139658 + 0.0840297i
\(505\) 10.9915 39.5879i 0.489116 1.76164i
\(506\) 0.262095 + 0.943980i 0.0116515 + 0.0419650i
\(507\) −19.0755 + 11.4774i −0.847174 + 0.509728i
\(508\) 0.877651 16.1873i 0.0389395 0.718196i
\(509\) 26.4219 8.90259i 1.17113 0.394600i 0.334516 0.942390i \(-0.391427\pi\)
0.836616 + 0.547790i \(0.184531\pi\)
\(510\) −1.88610 3.55756i −0.0835178 0.157531i
\(511\) −24.2011 28.4918i −1.07059 1.26040i
\(512\) 10.8143 + 15.9499i 0.477928 + 0.704891i
\(513\) 0.245364 + 4.52548i 0.0108331 + 0.199805i
\(514\) −2.73310 6.85956i −0.120552 0.302562i
\(515\) −31.5505 14.5968i −1.39028 0.643213i
\(516\) 3.65659 0.804877i 0.160973 0.0354327i
\(517\) −4.99344 + 9.41862i −0.219611 + 0.414230i
\(518\) −1.34907 + 8.22894i −0.0592745 + 0.361559i
\(519\) 4.16826 3.16863i 0.182966 0.139087i
\(520\) 22.5302 10.4236i 0.988015 0.457104i
\(521\) 14.9902 + 14.1995i 0.656732 + 0.622089i 0.941702 0.336447i \(-0.109225\pi\)
−0.284971 + 0.958536i \(0.591984\pi\)
\(522\) 0.310796 + 1.89577i 0.0136032 + 0.0829757i
\(523\) −4.24299 1.42963i −0.185533 0.0625134i 0.225001 0.974358i \(-0.427761\pi\)
−0.410535 + 0.911845i \(0.634658\pi\)
\(524\) −0.595984 + 1.49581i −0.0260357 + 0.0653446i
\(525\) 21.3064 20.1825i 0.929886 0.880835i
\(526\) 3.65957 + 2.78193i 0.159565 + 0.121298i
\(527\) 29.5720 + 6.50928i 1.28818 + 0.283549i
\(528\) 5.94807 7.00261i 0.258857 0.304749i
\(529\) 21.1482 + 2.30001i 0.919489 + 0.100000i
\(530\) 12.1940 0.529675
\(531\) −5.88231 4.93948i −0.255270 0.214355i
\(532\) 28.4462 1.23330
\(533\) −17.9396 1.95105i −0.777051 0.0845094i
\(534\) 1.42206 1.67417i 0.0615384 0.0724486i
\(535\) −38.9001 8.56257i −1.68180 0.370192i
\(536\) −1.82042 1.38384i −0.0786300 0.0597730i
\(537\) 6.50830 6.16498i 0.280854 0.266039i
\(538\) 0.680411 1.70770i 0.0293346 0.0736243i
\(539\) −9.16534 3.08816i −0.394779 0.133017i
\(540\) 1.16013 + 7.07648i 0.0499240 + 0.304523i
\(541\) 1.20627 + 1.14264i 0.0518615 + 0.0491258i 0.713191 0.700969i \(-0.247249\pi\)
−0.661330 + 0.750095i \(0.730008\pi\)
\(542\) 4.10969 1.90135i 0.176526 0.0816698i
\(543\) −16.3136 + 12.4013i −0.700084 + 0.532190i
\(544\) 1.97899 12.0713i 0.0848487 0.517554i
\(545\) −10.4468 + 19.7047i −0.447490 + 0.844056i
\(546\) 5.41541 1.19202i 0.231758 0.0510138i
\(547\) −0.140122 0.0648271i −0.00599116 0.00277181i 0.416891 0.908956i \(-0.363120\pi\)
−0.422882 + 0.906185i \(0.638982\pi\)
\(548\) −3.97506 9.97665i −0.169806 0.426181i
\(549\) −0.0432663 0.797999i −0.00184656 0.0340578i
\(550\) 3.75288 + 5.53509i 0.160023 + 0.236017i
\(551\) 19.7476 + 23.2487i 0.841276 + 0.990427i
\(552\) −0.688490 1.29863i −0.0293041 0.0552734i
\(553\) −2.87109 + 0.967381i −0.122091 + 0.0411372i
\(554\) −0.155666 + 2.87109i −0.00661361 + 0.121981i
\(555\) −28.6001 + 17.2081i −1.21401 + 0.730444i
\(556\) 7.30020 + 26.2929i 0.309597 + 1.11507i
\(557\) −8.50198 + 30.6214i −0.360240 + 1.29747i 0.532321 + 0.846543i \(0.321320\pi\)
−0.892561 + 0.450926i \(0.851094\pi\)
\(558\) 1.96212 + 1.18057i 0.0830631 + 0.0499774i
\(559\) 6.50346 9.59188i 0.275067 0.405694i
\(560\) 42.7644 4.65090i 1.80712 0.196537i
\(561\) −9.79987 + 1.06580i −0.413751 + 0.0449981i
\(562\) −5.12888 + 7.56453i −0.216349 + 0.319090i
\(563\) −4.28147 2.57608i −0.180443 0.108569i 0.422467 0.906378i \(-0.361164\pi\)
−0.602909 + 0.797810i \(0.705992\pi\)
\(564\) 2.09495 7.54535i 0.0882135 0.317716i
\(565\) 12.6410 + 45.5288i 0.531811 + 1.91541i
\(566\) −1.32971 + 0.800063i −0.0558921 + 0.0336291i
\(567\) −0.177118 + 3.26675i −0.00743827 + 0.137191i
\(568\) 5.57497 1.87843i 0.233921 0.0788171i
\(569\) 0.690530 + 1.30248i 0.0289485 + 0.0546027i 0.897564 0.440883i \(-0.145335\pi\)
−0.868616 + 0.495486i \(0.834990\pi\)
\(570\) −3.13019 3.68514i −0.131109 0.154354i
\(571\) −8.80290 12.9833i −0.368390 0.543334i 0.597640 0.801765i \(-0.296105\pi\)
−0.966030 + 0.258430i \(0.916795\pi\)
\(572\) −1.61091 29.7115i −0.0673556 1.24230i
\(573\) −4.26283 10.6989i −0.178082 0.446953i
\(574\) 2.57540 + 1.19151i 0.107495 + 0.0497326i
\(575\) −11.5133 + 2.53427i −0.480139 + 0.105687i
\(576\) −2.86224 + 5.39876i −0.119260 + 0.224948i
\(577\) −4.81030 + 29.3415i −0.200256 + 1.22150i 0.674990 + 0.737827i \(0.264148\pi\)
−0.875246 + 0.483678i \(0.839301\pi\)
\(578\) 0.625959 0.475842i 0.0260365 0.0197924i
\(579\) 5.18643 2.39950i 0.215541 0.0997198i
\(580\) 35.0396 + 33.1913i 1.45494 + 1.37819i
\(581\) −7.85109 47.8896i −0.325718 1.98679i
\(582\) 0.592865 + 0.199759i 0.0245750 + 0.00828029i
\(583\) 11.0496 27.7323i 0.457627 1.14856i
\(584\) −9.27838 + 8.78895i −0.383942 + 0.363689i
\(585\) 17.6696 + 13.4321i 0.730547 + 0.555348i
\(586\) −1.14355 0.251714i −0.0472395 0.0103982i
\(587\) −24.7485 + 29.1362i −1.02148 + 1.20258i −0.0423995 + 0.999101i \(0.513500\pi\)
−0.979080 + 0.203477i \(0.934776\pi\)
\(588\) 7.06279 + 0.768124i 0.291264 + 0.0316769i
\(589\) 36.3598 1.49818
\(590\) 8.18501 + 0.397366i 0.336972 + 0.0163593i
\(591\) −1.99164 −0.0819252
\(592\) −31.2300 3.39647i −1.28355 0.139594i
\(593\) −8.76441 + 10.3183i −0.359911 + 0.423720i −0.912080 0.410012i \(-0.865525\pi\)
0.552169 + 0.833732i \(0.313800\pi\)
\(594\) −0.728051 0.160256i −0.0298723 0.00657538i
\(595\) −36.7418 27.9304i −1.50627 1.14503i
\(596\) −4.44855 + 4.21389i −0.182220 + 0.172608i
\(597\) 1.79071 4.49434i 0.0732889 0.183941i
\(598\) −2.11083 0.711223i −0.0863184 0.0290841i
\(599\) −6.12745 37.3758i −0.250361 1.52713i −0.750315 0.661081i \(-0.770098\pi\)
0.499954 0.866052i \(-0.333350\pi\)
\(600\) −7.28410 6.89986i −0.297372 0.281686i
\(601\) −22.3531 + 10.3416i −0.911800 + 0.421844i −0.818969 0.573838i \(-0.805454\pi\)
−0.0928315 + 0.995682i \(0.529592\pi\)
\(602\) −1.45076 + 1.10284i −0.0591287 + 0.0449485i
\(603\) 0.330763 2.01756i 0.0134697 0.0821616i
\(604\) −2.58115 + 4.86856i −0.105025 + 0.198099i
\(605\) −15.2531 + 3.35746i −0.620126 + 0.136500i
\(606\) −2.84747 1.31738i −0.115671 0.0535150i
\(607\) 2.17085 + 5.44841i 0.0881120 + 0.221144i 0.966429 0.256935i \(-0.0827125\pi\)
−0.878317 + 0.478079i \(0.841333\pi\)
\(608\) −0.795227 14.6671i −0.0322507 0.594829i
\(609\) 12.3569 + 18.2251i 0.500728 + 0.738518i
\(610\) 0.551960 + 0.649818i 0.0223482 + 0.0263104i
\(611\) −11.3531 21.4143i −0.459298 0.866329i
\(612\) 6.86204 2.31209i 0.277381 0.0934607i
\(613\) 1.30349 24.0414i 0.0526473 0.971022i −0.846229 0.532819i \(-0.821133\pi\)
0.898876 0.438202i \(-0.144385\pi\)
\(614\) 7.71867 4.64417i 0.311500 0.187423i
\(615\) 3.03871 + 10.9444i 0.122533 + 0.441322i
\(616\) −2.55672 + 9.20846i −0.103013 + 0.371020i
\(617\) 8.35898 + 5.02943i 0.336520 + 0.202477i 0.673776 0.738936i \(-0.264671\pi\)
−0.337256 + 0.941413i \(0.609499\pi\)
\(618\) −1.48977 + 2.19725i −0.0599275 + 0.0883865i
\(619\) −17.7224 + 1.92743i −0.712324 + 0.0774699i −0.457104 0.889413i \(-0.651113\pi\)
−0.255220 + 0.966883i \(0.582148\pi\)
\(620\) 57.1930 6.22011i 2.29693 0.249806i
\(621\) 0.737498 1.08773i 0.0295948 0.0436490i
\(622\) −5.63780 3.39215i −0.226055 0.136013i
\(623\) 6.73566 24.2597i 0.269859 0.971943i
\(624\) 5.58854 + 20.1281i 0.223721 + 0.805769i
\(625\) −9.09872 + 5.47452i −0.363949 + 0.218981i
\(626\) −0.480294 + 8.85850i −0.0191964 + 0.354057i
\(627\) −11.2173 + 3.77957i −0.447978 + 0.150941i
\(628\) −6.79082 12.8088i −0.270983 0.511128i
\(629\) 21.8198 + 25.6882i 0.870011 + 1.02426i
\(630\) −1.95869 2.88885i −0.0780361 0.115095i
\(631\) −0.0588166 1.08481i −0.00234145 0.0431856i 0.997129 0.0757190i \(-0.0241252\pi\)
−0.999471 + 0.0325335i \(0.989642\pi\)
\(632\) 0.383378 + 0.962205i 0.0152499 + 0.0382745i
\(633\) −15.2181 7.04063i −0.604864 0.279840i
\(634\) 5.09812 1.12218i 0.202472 0.0445675i
\(635\) −14.7937 + 27.9038i −0.587069 + 1.10733i
\(636\) −3.54766 + 21.6398i −0.140674 + 0.858073i
\(637\) 17.5057 13.3075i 0.693601 0.527261i
\(638\) −4.55373 + 2.10678i −0.180284 + 0.0834082i
\(639\) 3.81863 + 3.61720i 0.151063 + 0.143094i
\(640\) −4.97432 30.3420i −0.196627 1.19937i
\(641\) 29.5722 + 9.96404i 1.16803 + 0.393556i 0.835476 0.549528i \(-0.185192\pi\)
0.332556 + 0.943083i \(0.392089\pi\)
\(642\) −1.12584 + 2.82566i −0.0444335 + 0.111520i
\(643\) 4.21061 3.98850i 0.166050 0.157291i −0.600163 0.799878i \(-0.704897\pi\)
0.766213 + 0.642587i \(0.222139\pi\)
\(644\) −6.56659 4.99179i −0.258760 0.196704i
\(645\) −7.12386 1.56808i −0.280502 0.0617431i
\(646\) −3.16080 + 3.72118i −0.124360 + 0.146408i
\(647\) −24.4898 2.66343i −0.962795 0.104710i −0.386800 0.922164i \(-0.626420\pi\)
−0.575995 + 0.817453i \(0.695385\pi\)
\(648\) 1.11846 0.0439372
\(649\) 8.32053 18.2547i 0.326609 0.716561i
\(650\) −15.2045 −0.596371
\(651\) 26.0928 + 2.83776i 1.02266 + 0.111221i
\(652\) −6.91637 + 8.14258i −0.270866 + 0.318888i
\(653\) 7.56876 + 1.66601i 0.296188 + 0.0651960i 0.360579 0.932729i \(-0.382579\pi\)
−0.0643903 + 0.997925i \(0.520510\pi\)
\(654\) 1.35585 + 1.03069i 0.0530178 + 0.0403031i
\(655\) 2.27742 2.15729i 0.0889862 0.0842922i
\(656\) −3.95685 + 9.93094i −0.154489 + 0.387738i
\(657\) −10.8285 3.64854i −0.422459 0.142343i
\(658\) 0.616619 + 3.76121i 0.0240383 + 0.146627i
\(659\) −11.6502 11.0356i −0.453827 0.429888i 0.426332 0.904567i \(-0.359806\pi\)
−0.880159 + 0.474679i \(0.842564\pi\)
\(660\) −16.9980 + 7.86411i −0.661646 + 0.306110i
\(661\) −15.2730 + 11.6102i −0.594051 + 0.451586i −0.858500 0.512814i \(-0.828603\pi\)
0.264449 + 0.964400i \(0.414810\pi\)
\(662\) 1.15311 7.03364i 0.0448168 0.273370i
\(663\) 10.4982 19.8017i 0.407716 0.769033i
\(664\) −16.2029 + 3.56652i −0.628793 + 0.138408i
\(665\) −50.2975 23.2701i −1.95045 0.902376i
\(666\) 0.943437 + 2.36785i 0.0365574 + 0.0917522i
\(667\) −0.478863 8.83211i −0.0185416 0.341981i
\(668\) −21.3491 31.4876i −0.826021 1.21829i
\(669\) 5.21070 + 6.13451i 0.201457 + 0.237174i
\(670\) 1.02168 + 1.92710i 0.0394710 + 0.0744502i
\(671\) 1.97801 0.666468i 0.0763601 0.0257287i
\(672\) 0.574041 10.5876i 0.0221441 0.408424i
\(673\) 19.2921 11.6076i 0.743654 0.447442i −0.0926563 0.995698i \(-0.529536\pi\)
0.836310 + 0.548256i \(0.184708\pi\)
\(674\) 1.39650 + 5.02972i 0.0537910 + 0.193738i
\(675\) 2.39989 8.64363i 0.0923718 0.332693i
\(676\) 36.5970 + 22.0197i 1.40758 + 0.846911i
\(677\) −14.8087 + 21.8413i −0.569146 + 0.839428i −0.997952 0.0639688i \(-0.979624\pi\)
0.428806 + 0.903397i \(0.358935\pi\)
\(678\) 3.58714 0.390125i 0.137763 0.0149826i
\(679\) 7.12869 0.775292i 0.273574 0.0297530i
\(680\) −8.85462 + 13.0596i −0.339559 + 0.500813i
\(681\) −11.6115 6.98643i −0.444955 0.267721i
\(682\) −1.60002 + 5.76275i −0.0612679 + 0.220667i
\(683\) 5.74862 + 20.7047i 0.219965 + 0.792242i 0.988343 + 0.152246i \(0.0486505\pi\)
−0.768378 + 0.639997i \(0.778936\pi\)
\(684\) 7.45039 4.48275i 0.284873 0.171402i
\(685\) −1.13273 + 20.8921i −0.0432796 + 0.798245i
\(686\) 2.91750 0.983022i 0.111391 0.0375319i
\(687\) 8.69702 + 16.4043i 0.331812 + 0.625864i
\(688\) −4.44446 5.23243i −0.169444 0.199484i
\(689\) 38.0895 + 56.1778i 1.45109 + 2.14020i
\(690\) 0.0759044 + 1.39997i 0.00288963 + 0.0532961i
\(691\) 15.5796 + 39.1020i 0.592678 + 1.48751i 0.852960 + 0.521976i \(0.174805\pi\)
−0.260283 + 0.965532i \(0.583816\pi\)
\(692\) −9.11680 4.21788i −0.346569 0.160340i
\(693\) −8.34485 + 1.83684i −0.316995 + 0.0697758i
\(694\) −3.49672 + 6.59551i −0.132734 + 0.250362i
\(695\) 8.60070 52.4620i 0.326243 1.99000i
\(696\) 5.99284 4.55564i 0.227158 0.172681i
\(697\) 10.4095 4.81594i 0.394287 0.182417i
\(698\) −2.31908 2.19675i −0.0877784 0.0831481i
\(699\) −0.527461 3.21737i −0.0199504 0.121692i
\(700\) −53.3573 17.9782i −2.01672 0.679511i
\(701\) 10.6516 26.7336i 0.402307 1.00971i −0.578665 0.815565i \(-0.696426\pi\)
0.980972 0.194149i \(-0.0621944\pi\)
\(702\) 1.23051 1.16560i 0.0464427 0.0439928i
\(703\) 32.2194 + 24.4926i 1.21518 + 0.923755i
\(704\) −15.5864 3.43083i −0.587435 0.129304i
\(705\) −9.87659 + 11.6276i −0.371974 + 0.437922i
\(706\) 7.58894 + 0.825347i 0.285614 + 0.0310623i
\(707\) −35.9612 −1.35246
\(708\) −3.08647 + 14.4097i −0.115997 + 0.541549i
\(709\) −41.3375 −1.55246 −0.776231 0.630448i \(-0.782871\pi\)
−0.776231 + 0.630448i \(0.782871\pi\)
\(710\) −5.57859 0.606708i −0.209361 0.0227694i
\(711\) −0.599523 + 0.705814i −0.0224839 + 0.0264701i
\(712\) −8.40626 1.85036i −0.315038 0.0693451i
\(713\) −8.39337 6.38048i −0.314334 0.238951i
\(714\) −2.55870 + 2.42373i −0.0957570 + 0.0907058i
\(715\) −21.4568 + 53.8525i −0.802439 + 2.01397i
\(716\) −16.2986 5.49165i −0.609109 0.205233i
\(717\) −2.19853 13.4104i −0.0821056 0.500822i
\(718\) −1.47872 1.40072i −0.0551853 0.0522743i
\(719\) −8.84993 + 4.09441i −0.330047 + 0.152696i −0.577913 0.816098i \(-0.696133\pi\)
0.247866 + 0.968794i \(0.420271\pi\)
\(720\) 10.4676 7.95723i 0.390103 0.296548i
\(721\) −4.92266 + 30.0269i −0.183330 + 1.11826i
\(722\) −0.205917 + 0.388401i −0.00766344 + 0.0144548i
\(723\) −22.6839 + 4.99311i −0.843624 + 0.185696i
\(724\) 35.6811 + 16.5078i 1.32608 + 0.613509i
\(725\) −22.3478 56.0887i −0.829975 2.08308i
\(726\) 0.0645700 + 1.19092i 0.00239642 + 0.0441993i
\(727\) −5.77769 8.52145i −0.214283 0.316043i 0.705323 0.708886i \(-0.250802\pi\)
−0.919606 + 0.392843i \(0.871492\pi\)
\(728\) −14.0667 16.5606i −0.521347 0.613777i
\(729\) 0.468408 + 0.883512i 0.0173485 + 0.0327227i
\(730\) 11.5524 3.89246i 0.427573 0.144066i
\(731\) −0.398773 + 7.35494i −0.0147492 + 0.272032i
\(732\) −1.31376 + 0.790465i −0.0485581 + 0.0292164i
\(733\) −4.31288 15.5336i −0.159300 0.573746i −0.999504 0.0314766i \(-0.989979\pi\)
0.840205 0.542269i \(-0.182435\pi\)
\(734\) 0.937110 3.37516i 0.0345893 0.124580i
\(735\) −11.8598 7.13579i −0.437455 0.263208i
\(736\) −2.39023 + 3.52533i −0.0881052 + 0.129945i
\(737\) 5.30850 0.577334i 0.195541 0.0212664i
\(738\) 0.862294 0.0937801i 0.0317415 0.00345209i
\(739\) −9.49330 + 14.0016i −0.349217 + 0.515056i −0.961214 0.275804i \(-0.911056\pi\)
0.611997 + 0.790860i \(0.290366\pi\)
\(740\) 54.8702 + 33.0143i 2.01707 + 1.21363i
\(741\) 7.19990 25.9317i 0.264495 0.952625i
\(742\) −2.85538 10.2841i −0.104824 0.377543i
\(743\) 28.7717 17.3113i 1.05553 0.635092i 0.121612 0.992578i \(-0.461194\pi\)
0.933919 + 0.357486i \(0.116366\pi\)
\(744\) 0.485791 8.95988i 0.0178100 0.328485i
\(745\) 11.3129 3.81175i 0.414471 0.139652i
\(746\) −0.759936 1.43339i −0.0278232 0.0524802i
\(747\) −9.60306 11.3056i −0.351357 0.413650i
\(748\) 10.6133 + 15.6534i 0.388060 + 0.572346i
\(749\) 1.88747 + 34.8124i 0.0689668 + 1.27202i
\(750\) 1.56792 + 3.93519i 0.0572525 + 0.143693i
\(751\) −26.7363 12.3695i −0.975620 0.451370i −0.133729 0.991018i \(-0.542695\pi\)
−0.841891 + 0.539648i \(0.818557\pi\)
\(752\) −14.0228 + 3.08666i −0.511360 + 0.112559i
\(753\) 7.84023 14.7882i 0.285714 0.538914i
\(754\) 1.84557 11.2575i 0.0672117 0.409973i
\(755\) 8.54655 6.49692i 0.311041 0.236447i
\(756\) 5.69647 2.63547i 0.207178 0.0958509i
\(757\) −12.7406 12.0686i −0.463066 0.438640i 0.420256 0.907406i \(-0.361940\pi\)
−0.883323 + 0.468766i \(0.844699\pi\)
\(758\) 0.161752 + 0.986644i 0.00587510 + 0.0358365i
\(759\) 3.25268 + 1.09596i 0.118065 + 0.0397807i
\(760\) −7.01284 + 17.6009i −0.254382 + 0.638451i
\(761\) −19.6956 + 18.6567i −0.713967 + 0.676305i −0.955802 0.294012i \(-0.905009\pi\)
0.241835 + 0.970317i \(0.422251\pi\)
\(762\) 1.92001 + 1.45956i 0.0695547 + 0.0528741i
\(763\) 19.0647 + 4.19645i 0.690188 + 0.151922i
\(764\) −14.3043 + 16.8403i −0.517511 + 0.609261i
\(765\) −14.0246 1.52526i −0.507059 0.0551460i
\(766\) −3.75361 −0.135623
\(767\) 23.7362 + 38.9495i 0.857064 + 1.40639i
\(768\) 9.87317 0.356267
\(769\) −29.0688 3.16142i −1.04825 0.114004i −0.432251 0.901753i \(-0.642280\pi\)
−0.615995 + 0.787750i \(0.711246\pi\)
\(770\) 5.90148 6.94776i 0.212674 0.250380i
\(771\) −25.2650 5.56126i −0.909898 0.200284i
\(772\) −8.72808 6.63492i −0.314131 0.238796i