Properties

Label 552.2.t.a.451.5
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.5
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.a.235.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.01188 + 0.987982i) q^{2} +(0.654861 + 0.755750i) q^{3} +(0.0477826 - 1.99943i) q^{4} +(-0.131847 - 0.917018i) q^{5} +(-1.40930 - 0.117734i) q^{6} +(0.0841231 - 0.184204i) q^{7} +(1.92705 + 2.07038i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-1.01188 + 0.987982i) q^{2} +(0.654861 + 0.755750i) q^{3} +(0.0477826 - 1.99943i) q^{4} +(-0.131847 - 0.917018i) q^{5} +(-1.40930 - 0.117734i) q^{6} +(0.0841231 - 0.184204i) q^{7} +(1.92705 + 2.07038i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(1.03941 + 0.797645i) q^{10} +(1.60270 - 5.45831i) q^{11} +(1.54236 - 1.27324i) q^{12} +(-2.77492 + 1.26726i) q^{13} +(0.0968681 + 0.269503i) q^{14} +(0.606695 - 0.700163i) q^{15} +(-3.99543 - 0.191076i) q^{16} +(2.86746 - 4.46186i) q^{17} +(-0.833921 - 1.14218i) q^{18} +(2.36103 + 3.67383i) q^{19} +(-1.83981 + 0.219802i) q^{20} +(0.194301 - 0.0570519i) q^{21} +(3.77098 + 7.10657i) q^{22} +(-1.13343 - 4.65997i) q^{23} +(-0.302740 + 2.81218i) q^{24} +(3.97393 - 1.16685i) q^{25} +(1.55584 - 4.02388i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(-0.364283 - 0.177000i) q^{28} +(2.14129 - 3.33191i) q^{29} +(0.0778492 + 1.30788i) q^{30} +(1.22207 + 1.05893i) q^{31} +(4.23166 - 3.75407i) q^{32} +(5.17466 - 2.36319i) q^{33} +(1.50672 + 7.34784i) q^{34} +(-0.180010 - 0.0528556i) q^{35} +(1.97228 + 0.331845i) q^{36} +(1.42570 - 9.91599i) q^{37} +(-6.01875 - 1.38481i) q^{38} +(-2.77492 - 1.26726i) q^{39} +(1.64450 - 2.04011i) q^{40} +(0.414389 + 2.88214i) q^{41} +(-0.140242 + 0.249695i) q^{42} +(-1.13709 + 0.985294i) q^{43} +(-10.8369 - 3.46531i) q^{44} +0.926448 q^{45} +(5.75086 + 3.59550i) q^{46} +12.0701i q^{47} +(-2.47205 - 3.14468i) q^{48} +(4.55717 + 5.25926i) q^{49} +(-2.86829 + 5.10687i) q^{50} +(5.24983 - 0.754812i) q^{51} +(2.40121 + 5.60880i) q^{52} +(5.69226 - 12.4643i) q^{53} +(0.317100 - 1.37820i) q^{54} +(-5.21668 - 0.750046i) q^{55} +(0.543482 - 0.180803i) q^{56} +(-1.23035 + 4.19020i) q^{57} +(1.12515 + 5.48703i) q^{58} +(2.40581 + 5.26800i) q^{59} +(-1.37094 - 1.24650i) q^{60} +(-9.48472 + 10.9460i) q^{61} +(-2.28278 + 0.135878i) q^{62} +(0.170357 + 0.109482i) q^{63} +(-0.572955 + 7.97946i) q^{64} +(1.52797 + 2.37756i) q^{65} +(-2.90132 + 7.50373i) q^{66} +(-1.82054 - 6.20017i) q^{67} +(-8.78415 - 5.94648i) q^{68} +(2.77953 - 3.90822i) q^{69} +(0.234368 - 0.124363i) q^{70} +(1.62908 + 5.54815i) q^{71} +(-2.32356 + 1.61279i) q^{72} +(7.53405 - 4.84184i) q^{73} +(8.35418 + 11.4423i) q^{74} +(3.48421 + 2.23917i) q^{75} +(7.45839 - 4.54517i) q^{76} +(-0.870617 - 0.754394i) q^{77} +(4.05990 - 1.45926i) q^{78} +(1.72521 + 3.77767i) q^{79} +(0.351567 + 3.68908i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-3.26681 - 2.50695i) q^{82} +(-6.47236 - 0.930585i) q^{83} +(-0.104787 - 0.391217i) q^{84} +(-4.46967 - 2.04123i) q^{85} +(0.177140 - 2.12042i) q^{86} +(3.92033 - 0.563659i) q^{87} +(14.3893 - 7.20023i) q^{88} +(8.71852 - 7.55464i) q^{89} +(-0.937450 + 0.915314i) q^{90} +0.617756i q^{91} +(-9.37144 + 2.04354i) q^{92} +1.61703i q^{93} +(-11.9251 - 12.2135i) q^{94} +(3.05768 - 2.64949i) q^{95} +(5.60829 + 0.739681i) q^{96} +(-12.3742 + 1.77914i) q^{97} +(-9.80734 - 0.819307i) q^{98} +(5.17466 + 2.36319i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + O(q^{10}) \) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + 4q^{12} - 4q^{16} + 44q^{17} - 55q^{20} - 24q^{25} + 24q^{27} + 33q^{34} + 7q^{36} - 132q^{38} + 11q^{40} - 66q^{42} + 77q^{44} + 37q^{48} - 56q^{49} - 37q^{50} - 55q^{52} - 11q^{54} + 132q^{56} + 37q^{58} + 11q^{60} + 51q^{62} - 4q^{64} - 55q^{66} - 132q^{70} + 144q^{73} + 44q^{74} + 24q^{75} - 55q^{76} - 198q^{80} - 24q^{81} - 26q^{82} + 44q^{84} - 110q^{86} + 22q^{88} - 139q^{92} - 117q^{94} - 209q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.01188 + 0.987982i −0.715504 + 0.698609i
\(3\) 0.654861 + 0.755750i 0.378084 + 0.436332i
\(4\) 0.0477826 1.99943i 0.0238913 0.999715i
\(5\) −0.131847 0.917018i −0.0589639 0.410103i −0.997831 0.0658239i \(-0.979032\pi\)
0.938867 0.344279i \(-0.111877\pi\)
\(6\) −1.40930 0.117734i −0.575346 0.0480645i
\(7\) 0.0841231 0.184204i 0.0317955 0.0696225i −0.893068 0.449922i \(-0.851452\pi\)
0.924863 + 0.380299i \(0.124179\pi\)
\(8\) 1.92705 + 2.07038i 0.681315 + 0.731990i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) 1.03941 + 0.797645i 0.328691 + 0.252238i
\(11\) 1.60270 5.45831i 0.483233 1.64574i −0.251851 0.967766i \(-0.581039\pi\)
0.735084 0.677976i \(-0.237143\pi\)
\(12\) 1.54236 1.27324i 0.445241 0.367552i
\(13\) −2.77492 + 1.26726i −0.769623 + 0.351475i −0.761223 0.648490i \(-0.775401\pi\)
−0.00839962 + 0.999965i \(0.502674\pi\)
\(14\) 0.0968681 + 0.269503i 0.0258891 + 0.0720278i
\(15\) 0.606695 0.700163i 0.156648 0.180781i
\(16\) −3.99543 0.191076i −0.998858 0.0477690i
\(17\) 2.86746 4.46186i 0.695461 1.08216i −0.296428 0.955055i \(-0.595795\pi\)
0.991889 0.127104i \(-0.0405681\pi\)
\(18\) −0.833921 1.14218i −0.196557 0.269214i
\(19\) 2.36103 + 3.67383i 0.541658 + 0.842836i 0.998918 0.0464970i \(-0.0148058\pi\)
−0.457261 + 0.889333i \(0.651169\pi\)
\(20\) −1.83981 + 0.219802i −0.411395 + 0.0491492i
\(21\) 0.194301 0.0570519i 0.0423999 0.0124497i
\(22\) 3.77098 + 7.10657i 0.803975 + 1.51513i
\(23\) −1.13343 4.65997i −0.236336 0.971671i
\(24\) −0.302740 + 2.81218i −0.0617966 + 0.574034i
\(25\) 3.97393 1.16685i 0.794785 0.233370i
\(26\) 1.55584 4.02388i 0.305125 0.789147i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) −0.364283 0.177000i −0.0688430 0.0334498i
\(29\) 2.14129 3.33191i 0.397627 0.618720i −0.583493 0.812118i \(-0.698315\pi\)
0.981120 + 0.193398i \(0.0619509\pi\)
\(30\) 0.0778492 + 1.30788i 0.0142133 + 0.238785i
\(31\) 1.22207 + 1.05893i 0.219490 + 0.190189i 0.757664 0.652645i \(-0.226340\pi\)
−0.538175 + 0.842833i \(0.680886\pi\)
\(32\) 4.23166 3.75407i 0.748059 0.663632i
\(33\) 5.17466 2.36319i 0.900793 0.411378i
\(34\) 1.50672 + 7.34784i 0.258401 + 1.26014i
\(35\) −0.180010 0.0528556i −0.0304272 0.00893423i
\(36\) 1.97228 + 0.331845i 0.328713 + 0.0553074i
\(37\) 1.42570 9.91599i 0.234384 1.63018i −0.444392 0.895833i \(-0.646580\pi\)
0.678776 0.734345i \(-0.262511\pi\)
\(38\) −6.01875 1.38481i −0.976370 0.224645i
\(39\) −2.77492 1.26726i −0.444342 0.202924i
\(40\) 1.64450 2.04011i 0.260018 0.322570i
\(41\) 0.414389 + 2.88214i 0.0647166 + 0.450114i 0.996254 + 0.0864697i \(0.0275586\pi\)
−0.931538 + 0.363644i \(0.881532\pi\)
\(42\) −0.140242 + 0.249695i −0.0216398 + 0.0385288i
\(43\) −1.13709 + 0.985294i −0.173405 + 0.150256i −0.737239 0.675632i \(-0.763871\pi\)
0.563835 + 0.825888i \(0.309325\pi\)
\(44\) −10.8369 3.46531i −1.63373 0.522414i
\(45\) 0.926448 0.138107
\(46\) 5.75086 + 3.59550i 0.847918 + 0.530128i
\(47\) 12.0701i 1.76061i 0.474410 + 0.880304i \(0.342662\pi\)
−0.474410 + 0.880304i \(0.657338\pi\)
\(48\) −2.47205 3.14468i −0.356809 0.453895i
\(49\) 4.55717 + 5.25926i 0.651024 + 0.751322i
\(50\) −2.86829 + 5.10687i −0.405637 + 0.722221i
\(51\) 5.24983 0.754812i 0.735124 0.105695i
\(52\) 2.40121 + 5.60880i 0.332987 + 0.777801i
\(53\) 5.69226 12.4643i 0.781892 1.71210i 0.0833675 0.996519i \(-0.473432\pi\)
0.698525 0.715586i \(-0.253840\pi\)
\(54\) 0.317100 1.37820i 0.0431519 0.187550i
\(55\) −5.21668 0.750046i −0.703417 0.101136i
\(56\) 0.543482 0.180803i 0.0726258 0.0241609i
\(57\) −1.23035 + 4.19020i −0.162964 + 0.555005i
\(58\) 1.12515 + 5.48703i 0.147740 + 0.720482i
\(59\) 2.40581 + 5.26800i 0.313210 + 0.685835i 0.999124 0.0418481i \(-0.0133245\pi\)
−0.685914 + 0.727683i \(0.740597\pi\)
\(60\) −1.37094 1.24650i −0.176987 0.160922i
\(61\) −9.48472 + 10.9460i −1.21439 + 1.40149i −0.324148 + 0.946007i \(0.605077\pi\)
−0.890247 + 0.455479i \(0.849468\pi\)
\(62\) −2.28278 + 0.135878i −0.289913 + 0.0172566i
\(63\) 0.170357 + 0.109482i 0.0214630 + 0.0137934i
\(64\) −0.572955 + 7.97946i −0.0716194 + 0.997432i
\(65\) 1.52797 + 2.37756i 0.189521 + 0.294900i
\(66\) −2.90132 + 7.50373i −0.357128 + 0.923645i
\(67\) −1.82054 6.20017i −0.222414 0.757472i −0.992788 0.119880i \(-0.961749\pi\)
0.770375 0.637592i \(-0.220069\pi\)
\(68\) −8.78415 5.94648i −1.06523 0.721117i
\(69\) 2.77953 3.90822i 0.334617 0.470494i
\(70\) 0.234368 0.124363i 0.0280123 0.0148642i
\(71\) 1.62908 + 5.54815i 0.193337 + 0.658444i 0.997912 + 0.0645931i \(0.0205749\pi\)
−0.804575 + 0.593851i \(0.797607\pi\)
\(72\) −2.32356 + 1.61279i −0.273834 + 0.190069i
\(73\) 7.53405 4.84184i 0.881794 0.566694i −0.0195451 0.999809i \(-0.506222\pi\)
0.901339 + 0.433115i \(0.142585\pi\)
\(74\) 8.35418 + 11.4423i 0.971154 + 1.33014i
\(75\) 3.48421 + 2.23917i 0.402322 + 0.258557i
\(76\) 7.45839 4.54517i 0.855536 0.521366i
\(77\) −0.870617 0.754394i −0.0992160 0.0859712i
\(78\) 4.05990 1.45926i 0.459693 0.165228i
\(79\) 1.72521 + 3.77767i 0.194101 + 0.425021i 0.981510 0.191409i \(-0.0613056\pi\)
−0.787410 + 0.616430i \(0.788578\pi\)
\(80\) 0.351567 + 3.68908i 0.0393064 + 0.412452i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) −3.26681 2.50695i −0.360759 0.276847i
\(83\) −6.47236 0.930585i −0.710434 0.102145i −0.222382 0.974960i \(-0.571383\pi\)
−0.488052 + 0.872815i \(0.662292\pi\)
\(84\) −0.104787 0.391217i −0.0114332 0.0426853i
\(85\) −4.46967 2.04123i −0.484804 0.221403i
\(86\) 0.177140 2.12042i 0.0191015 0.228651i
\(87\) 3.92033 0.563659i 0.420304 0.0604306i
\(88\) 14.3893 7.20023i 1.53390 0.767547i
\(89\) 8.71852 7.55464i 0.924162 0.800791i −0.0561142 0.998424i \(-0.517871\pi\)
0.980276 + 0.197634i \(0.0633256\pi\)
\(90\) −0.937450 + 0.915314i −0.0988159 + 0.0964826i
\(91\) 0.617756i 0.0647584i
\(92\) −9.37144 + 2.04354i −0.977040 + 0.213054i
\(93\) 1.61703i 0.167678i
\(94\) −11.9251 12.2135i −1.22998 1.25972i
\(95\) 3.05768 2.64949i 0.313711 0.271832i
\(96\) 5.60829 + 0.739681i 0.572393 + 0.0754933i
\(97\) −12.3742 + 1.77914i −1.25641 + 0.180644i −0.738182 0.674601i \(-0.764316\pi\)
−0.518224 + 0.855245i \(0.673407\pi\)
\(98\) −9.80734 0.819307i −0.990691 0.0827625i
\(99\) 5.17466 + 2.36319i 0.520073 + 0.237509i
\(100\) −2.14315 8.00134i −0.214315 0.800134i
\(101\) −14.8941 2.14145i −1.48202 0.213083i −0.646658 0.762780i \(-0.723834\pi\)
−0.835364 + 0.549698i \(0.814743\pi\)
\(102\) −4.56643 + 5.95052i −0.452144 + 0.589189i
\(103\) 13.6803 + 4.01689i 1.34796 + 0.395796i 0.874502 0.485022i \(-0.161189\pi\)
0.473455 + 0.880818i \(0.343007\pi\)
\(104\) −7.97112 3.30306i −0.781632 0.323891i
\(105\) −0.0779357 0.170655i −0.00760574 0.0166543i
\(106\) 6.55466 + 18.2362i 0.636645 + 1.77125i
\(107\) −9.32118 8.07685i −0.901113 0.780818i 0.0752034 0.997168i \(-0.476039\pi\)
−0.976316 + 0.216350i \(0.930585\pi\)
\(108\) 1.04078 + 1.70786i 0.100149 + 0.164339i
\(109\) 1.13664 + 0.730474i 0.108870 + 0.0699667i 0.593943 0.804507i \(-0.297570\pi\)
−0.485073 + 0.874474i \(0.661207\pi\)
\(110\) 6.01966 4.39504i 0.573952 0.419050i
\(111\) 8.42764 5.41611i 0.799916 0.514075i
\(112\) −0.371305 + 0.719900i −0.0350850 + 0.0680242i
\(113\) −1.11414 3.79442i −0.104810 0.356949i 0.890343 0.455290i \(-0.150465\pi\)
−0.995153 + 0.0983413i \(0.968646\pi\)
\(114\) −2.89488 5.45552i −0.271130 0.510957i
\(115\) −4.12384 + 1.65378i −0.384550 + 0.154216i
\(116\) −6.55960 4.44056i −0.609044 0.412296i
\(117\) −0.859451 2.92702i −0.0794563 0.270603i
\(118\) −7.63907 2.95365i −0.703233 0.271906i
\(119\) −0.580671 0.903542i −0.0532301 0.0828276i
\(120\) 2.61873 0.0931601i 0.239057 0.00850431i
\(121\) −17.9707 11.5491i −1.63370 1.04991i
\(122\) −1.21705 20.4467i −0.110187 1.85115i
\(123\) −1.90681 + 2.20057i −0.171931 + 0.198419i
\(124\) 2.17564 2.39284i 0.195378 0.214883i
\(125\) −3.51828 7.70395i −0.314684 0.689062i
\(126\) −0.280546 + 0.0575278i −0.0249930 + 0.00512498i
\(127\) 0.662112 2.25495i 0.0587530 0.200094i −0.924886 0.380244i \(-0.875840\pi\)
0.983639 + 0.180150i \(0.0576582\pi\)
\(128\) −7.30380 8.64028i −0.645571 0.763700i
\(129\) −1.48927 0.214125i −0.131123 0.0188526i
\(130\) −3.89510 0.896193i −0.341623 0.0786013i
\(131\) −6.92425 + 15.1620i −0.604974 + 1.32471i 0.320984 + 0.947085i \(0.395986\pi\)
−0.925959 + 0.377625i \(0.876741\pi\)
\(132\) −4.47777 10.4593i −0.389740 0.910364i
\(133\) 0.875352 0.125857i 0.0759026 0.0109131i
\(134\) 7.96781 + 4.47514i 0.688314 + 0.386594i
\(135\) 0.606695 + 0.700163i 0.0522160 + 0.0602604i
\(136\) 14.7635 2.66148i 1.26596 0.228220i
\(137\) 3.60894i 0.308332i 0.988045 + 0.154166i \(0.0492691\pi\)
−0.988045 + 0.154166i \(0.950731\pi\)
\(138\) 1.04871 + 6.70076i 0.0892721 + 0.570407i
\(139\) −7.40138 −0.627777 −0.313888 0.949460i \(-0.601632\pi\)
−0.313888 + 0.949460i \(0.601632\pi\)
\(140\) −0.114282 + 0.357391i −0.00965863 + 0.0302051i
\(141\) −9.12199 + 7.90425i −0.768210 + 0.665658i
\(142\) −7.12990 4.00453i −0.598328 0.336053i
\(143\) 2.46974 + 17.1774i 0.206530 + 1.43645i
\(144\) 0.757741 3.92757i 0.0631450 0.327298i
\(145\) −3.33775 1.52430i −0.277185 0.126586i
\(146\) −2.83987 + 12.3428i −0.235029 + 1.02150i
\(147\) −0.990368 + 6.88816i −0.0816842 + 0.568126i
\(148\) −19.7582 3.32440i −1.62411 0.273264i
\(149\) 3.51005 + 1.03064i 0.287555 + 0.0844337i 0.422329 0.906443i \(-0.361213\pi\)
−0.134774 + 0.990876i \(0.543031\pi\)
\(150\) −5.73785 + 1.17658i −0.468493 + 0.0960676i
\(151\) −9.33698 + 4.26406i −0.759833 + 0.347004i −0.757364 0.652993i \(-0.773513\pi\)
−0.00246886 + 0.999997i \(0.500786\pi\)
\(152\) −3.05641 + 11.9679i −0.247908 + 0.970725i
\(153\) 4.00836 + 3.47326i 0.324057 + 0.280797i
\(154\) 1.62628 0.0968016i 0.131050 0.00780049i
\(155\) 0.809929 1.26027i 0.0650550 0.101228i
\(156\) −2.66639 + 5.48769i −0.213482 + 0.439367i
\(157\) 2.74069 1.76134i 0.218731 0.140570i −0.426687 0.904399i \(-0.640319\pi\)
0.645418 + 0.763829i \(0.276683\pi\)
\(158\) −5.47797 2.11806i −0.435804 0.168504i
\(159\) 13.1475 3.86046i 1.04267 0.306155i
\(160\) −4.00049 3.38555i −0.316266 0.267651i
\(161\) −0.953732 0.183229i −0.0751646 0.0144405i
\(162\) 1.24923 0.662884i 0.0981491 0.0520811i
\(163\) 0.225888 0.0663267i 0.0176929 0.00519510i −0.272874 0.962050i \(-0.587974\pi\)
0.290567 + 0.956855i \(0.406156\pi\)
\(164\) 5.78243 0.690825i 0.451532 0.0539444i
\(165\) −2.84935 4.43368i −0.221822 0.345162i
\(166\) 7.46862 5.45294i 0.579678 0.423230i
\(167\) −1.18789 + 1.84840i −0.0919218 + 0.143033i −0.884169 0.467167i \(-0.845275\pi\)
0.792247 + 0.610200i \(0.208911\pi\)
\(168\) 0.492547 + 0.292335i 0.0380008 + 0.0225541i
\(169\) −2.41898 + 2.79166i −0.186076 + 0.214743i
\(170\) 6.53945 2.35048i 0.501553 0.180274i
\(171\) −3.97245 + 1.81416i −0.303781 + 0.138732i
\(172\) 1.91569 + 2.32061i 0.146070 + 0.176945i
\(173\) 6.57650 22.3975i 0.500002 1.70285i −0.192380 0.981321i \(-0.561620\pi\)
0.692382 0.721531i \(-0.256561\pi\)
\(174\) −3.41000 + 4.44357i −0.258512 + 0.336866i
\(175\) 0.119361 0.830172i 0.00902282 0.0627551i
\(176\) −7.44645 + 21.5021i −0.561297 + 1.62078i
\(177\) −2.40581 + 5.26800i −0.180832 + 0.395967i
\(178\) −1.35820 + 16.2581i −0.101802 + 1.21860i
\(179\) −0.695910 4.84016i −0.0520148 0.361771i −0.999161 0.0409670i \(-0.986956\pi\)
0.947146 0.320804i \(-0.103953\pi\)
\(180\) 0.0442681 1.85237i 0.00329955 0.138067i
\(181\) 6.96415 + 8.03706i 0.517641 + 0.597390i 0.953039 0.302848i \(-0.0979376\pi\)
−0.435397 + 0.900238i \(0.643392\pi\)
\(182\) −0.610332 0.625092i −0.0452408 0.0463349i
\(183\) −14.4836 −1.07066
\(184\) 7.46375 11.3266i 0.550235 0.835010i
\(185\) −9.28112 −0.682361
\(186\) −1.59759 1.63623i −0.117141 0.119974i
\(187\) −19.7585 22.8025i −1.44488 1.66749i
\(188\) 24.1334 + 0.576742i 1.76011 + 0.0420632i
\(189\) 0.0288193 + 0.200443i 0.00209629 + 0.0145800i
\(190\) −0.476337 + 5.70189i −0.0345571 + 0.413658i
\(191\) −5.13936 + 11.2536i −0.371871 + 0.814284i 0.627493 + 0.778622i \(0.284081\pi\)
−0.999364 + 0.0356618i \(0.988646\pi\)
\(192\) −6.40568 + 4.79242i −0.462290 + 0.345863i
\(193\) 1.75833 12.2295i 0.126568 0.880297i −0.823291 0.567619i \(-0.807865\pi\)
0.949859 0.312678i \(-0.101226\pi\)
\(194\) 10.7634 14.0257i 0.772764 1.00699i
\(195\) −0.796237 + 2.71173i −0.0570197 + 0.194191i
\(196\) 10.7333 8.86044i 0.766662 0.632888i
\(197\) 3.41496 1.55956i 0.243306 0.111114i −0.290030 0.957017i \(-0.593665\pi\)
0.533336 + 0.845903i \(0.320938\pi\)
\(198\) −7.57090 + 2.72122i −0.538041 + 0.193389i
\(199\) −9.72722 + 11.2258i −0.689545 + 0.795777i −0.987300 0.158865i \(-0.949216\pi\)
0.297756 + 0.954642i \(0.403762\pi\)
\(200\) 10.0738 + 5.97896i 0.712324 + 0.422776i
\(201\) 3.49358 5.43612i 0.246418 0.383434i
\(202\) 17.1867 12.5483i 1.20925 0.882892i
\(203\) −0.433619 0.674724i −0.0304341 0.0473563i
\(204\) −1.25834 10.5327i −0.0881016 0.737439i
\(205\) 2.58834 0.760004i 0.180777 0.0530810i
\(206\) −17.8113 + 9.45127i −1.24097 + 0.658501i
\(207\) 4.77384 0.458708i 0.331805 0.0318824i
\(208\) 11.3291 4.53304i 0.785534 0.314310i
\(209\) 23.8370 6.99916i 1.64884 0.484142i
\(210\) 0.247466 + 0.0956828i 0.0170767 + 0.00660274i
\(211\) −8.36095 + 5.37326i −0.575592 + 0.369910i −0.795816 0.605539i \(-0.792958\pi\)
0.220224 + 0.975449i \(0.429321\pi\)
\(212\) −24.6495 11.9768i −1.69294 0.822573i
\(213\) −3.12619 + 4.86444i −0.214203 + 0.333306i
\(214\) 17.4117 1.03640i 1.19024 0.0708467i
\(215\) 1.05345 + 0.912824i 0.0718450 + 0.0622541i
\(216\) −2.74047 0.699873i −0.186465 0.0476203i
\(217\) 0.297862 0.136029i 0.0202202 0.00923426i
\(218\) −1.87183 + 0.383831i −0.126777 + 0.0259963i
\(219\) 8.59297 + 2.52312i 0.580659 + 0.170497i
\(220\) −1.74893 + 10.3945i −0.117913 + 0.700800i
\(221\) −2.30262 + 16.0151i −0.154891 + 1.07729i
\(222\) −3.17669 + 13.8068i −0.213206 + 0.926651i
\(223\) 7.86015 + 3.58961i 0.526354 + 0.240378i 0.660826 0.750540i \(-0.270206\pi\)
−0.134471 + 0.990918i \(0.542934\pi\)
\(224\) −0.335534 1.09529i −0.0224188 0.0731823i
\(225\) 0.589424 + 4.09954i 0.0392950 + 0.273302i
\(226\) 4.87619 + 2.73873i 0.324359 + 0.182177i
\(227\) −8.55473 + 7.41271i −0.567797 + 0.491999i −0.890798 0.454400i \(-0.849854\pi\)
0.323001 + 0.946399i \(0.395308\pi\)
\(228\) 8.31921 + 2.66022i 0.550953 + 0.176178i
\(229\) −1.17566 −0.0776901 −0.0388450 0.999245i \(-0.512368\pi\)
−0.0388450 + 0.999245i \(0.512368\pi\)
\(230\) 2.53891 5.74770i 0.167411 0.378992i
\(231\) 1.15199i 0.0757955i
\(232\) 11.0247 1.98747i 0.723806 0.130484i
\(233\) 19.1153 + 22.0602i 1.25229 + 1.44521i 0.847493 + 0.530806i \(0.178111\pi\)
0.404792 + 0.914409i \(0.367344\pi\)
\(234\) 3.76150 + 2.11266i 0.245897 + 0.138109i
\(235\) 11.0685 1.59141i 0.722031 0.103812i
\(236\) 10.6479 4.55854i 0.693122 0.296735i
\(237\) −1.72521 + 3.77767i −0.112064 + 0.245386i
\(238\) 1.48025 + 0.340579i 0.0959504 + 0.0220765i
\(239\) 1.17241 + 0.168567i 0.0758369 + 0.0109037i 0.180129 0.983643i \(-0.442349\pi\)
−0.104292 + 0.994547i \(0.533258\pi\)
\(240\) −2.55779 + 2.68153i −0.165105 + 0.173092i
\(241\) −0.232358 + 0.791338i −0.0149675 + 0.0509746i −0.966638 0.256146i \(-0.917547\pi\)
0.951671 + 0.307120i \(0.0993654\pi\)
\(242\) 29.5944 6.06851i 1.90240 0.390099i
\(243\) −0.415415 0.909632i −0.0266489 0.0583529i
\(244\) 21.4324 + 19.4871i 1.37207 + 1.24753i
\(245\) 4.22198 4.87243i 0.269733 0.311288i
\(246\) −0.244676 4.11060i −0.0156000 0.262082i
\(247\) −11.2074 7.20254i −0.713108 0.458287i
\(248\) 0.162602 + 4.57075i 0.0103252 + 0.290243i
\(249\) −3.53521 5.50089i −0.224035 0.348605i
\(250\) 11.1714 + 4.31944i 0.706543 + 0.273186i
\(251\) 3.63523 + 12.3805i 0.229454 + 0.781448i 0.991061 + 0.133409i \(0.0425923\pi\)
−0.761607 + 0.648039i \(0.775589\pi\)
\(252\) 0.227041 0.335385i 0.0143022 0.0211273i
\(253\) −27.2521 1.28196i −1.71333 0.0805960i
\(254\) 1.55787 + 2.93588i 0.0977496 + 0.184213i
\(255\) −1.38435 4.71467i −0.0866915 0.295244i
\(256\) 15.9270 + 1.52686i 0.995436 + 0.0954289i
\(257\) −23.8145 + 15.3047i −1.48551 + 0.954679i −0.488906 + 0.872337i \(0.662604\pi\)
−0.996604 + 0.0823423i \(0.973760\pi\)
\(258\) 1.71851 1.25471i 0.106990 0.0781145i
\(259\) −1.70663 1.09678i −0.106045 0.0681508i
\(260\) 4.82678 2.94146i 0.299344 0.182421i
\(261\) 2.99326 + 2.59367i 0.185278 + 0.160544i
\(262\) −7.97330 22.1831i −0.492592 1.37048i
\(263\) 3.77248 + 8.26057i 0.232621 + 0.509368i 0.989561 0.144116i \(-0.0460338\pi\)
−0.756940 + 0.653484i \(0.773307\pi\)
\(264\) 14.8645 + 6.15954i 0.914849 + 0.379093i
\(265\) −12.1805 3.57652i −0.748243 0.219704i
\(266\) −0.761403 + 0.992183i −0.0466846 + 0.0608346i
\(267\) 11.4188 + 1.64178i 0.698822 + 0.100475i
\(268\) −12.4838 + 3.34377i −0.762569 + 0.204253i
\(269\) −3.94407 1.80120i −0.240474 0.109821i 0.291533 0.956561i \(-0.405835\pi\)
−0.532007 + 0.846740i \(0.678562\pi\)
\(270\) −1.30565 0.109074i −0.0794592 0.00663803i
\(271\) 25.2208 3.62621i 1.53206 0.220277i 0.675901 0.736993i \(-0.263755\pi\)
0.856157 + 0.516716i \(0.172846\pi\)
\(272\) −12.3093 + 17.2791i −0.746361 + 1.04770i
\(273\) −0.466869 + 0.404544i −0.0282562 + 0.0244841i
\(274\) −3.56557 3.65179i −0.215404 0.220613i
\(275\) 23.5610i 1.42078i
\(276\) −7.68140 5.74423i −0.462366 0.345762i
\(277\) 22.2355i 1.33600i 0.744161 + 0.668001i \(0.232850\pi\)
−0.744161 + 0.668001i \(0.767150\pi\)
\(278\) 7.48927 7.31243i 0.449177 0.438570i
\(279\) −1.22207 + 1.05893i −0.0731632 + 0.0633963i
\(280\) −0.237456 0.474544i −0.0141907 0.0283594i
\(281\) 11.8734 1.70714i 0.708307 0.101839i 0.221260 0.975215i \(-0.428983\pi\)
0.487047 + 0.873376i \(0.338074\pi\)
\(282\) 1.42106 17.0105i 0.0846228 1.01296i
\(283\) 25.7931 + 11.7793i 1.53324 + 0.700208i 0.990221 0.139511i \(-0.0445530\pi\)
0.543021 + 0.839719i \(0.317280\pi\)
\(284\) 11.1710 2.99213i 0.662875 0.177550i
\(285\) 4.00471 + 0.575790i 0.237218 + 0.0341069i
\(286\) −19.4700 14.9413i −1.15129 0.883499i
\(287\) 0.565760 + 0.166122i 0.0333958 + 0.00980589i
\(288\) 3.11363 + 4.72285i 0.183473 + 0.278296i
\(289\) −4.62377 10.1246i −0.271987 0.595568i
\(290\) 4.88336 1.75523i 0.286761 0.103071i
\(291\) −9.44794 8.18668i −0.553848 0.479912i
\(292\) −9.32092 15.2952i −0.545465 0.895081i
\(293\) 9.15954 + 5.88648i 0.535106 + 0.343892i 0.780122 0.625627i \(-0.215157\pi\)
−0.245016 + 0.969519i \(0.578793\pi\)
\(294\) −5.80325 7.94842i −0.338452 0.463561i
\(295\) 4.51365 2.90075i 0.262795 0.168888i
\(296\) 23.2773 16.1569i 1.35296 0.939098i
\(297\) 1.60270 + 5.45831i 0.0929983 + 0.316723i
\(298\) −4.56999 + 2.42499i −0.264733 + 0.140476i
\(299\) 9.05057 + 11.4947i 0.523408 + 0.664755i
\(300\) 4.64354 6.85945i 0.268095 0.396030i
\(301\) 0.0858394 + 0.292342i 0.00494770 + 0.0168503i
\(302\) 5.23505 13.5395i 0.301243 0.779109i
\(303\) −8.13518 12.6586i −0.467354 0.727217i
\(304\) −8.73136 15.1297i −0.500778 0.867748i
\(305\) 11.2882 + 7.25447i 0.646359 + 0.415390i
\(306\) −7.48748 + 0.445679i −0.428031 + 0.0254778i
\(307\) −5.47474 + 6.31818i −0.312460 + 0.360598i −0.890157 0.455653i \(-0.849406\pi\)
0.577698 + 0.816251i \(0.303951\pi\)
\(308\) −1.54996 + 1.70469i −0.0883170 + 0.0971337i
\(309\) 5.92291 + 12.9694i 0.336942 + 0.737801i
\(310\) 0.425581 + 2.07543i 0.0241714 + 0.117877i
\(311\) 6.16337 20.9905i 0.349493 1.19026i −0.577879 0.816122i \(-0.696119\pi\)
0.927372 0.374141i \(-0.122062\pi\)
\(312\) −2.72369 8.18721i −0.154198 0.463509i
\(313\) −13.1874 1.89606i −0.745395 0.107172i −0.240857 0.970561i \(-0.577428\pi\)
−0.504539 + 0.863389i \(0.668337\pi\)
\(314\) −1.03307 + 4.49001i −0.0582995 + 0.253386i
\(315\) 0.0779357 0.170655i 0.00439118 0.00961534i
\(316\) 7.63563 3.26892i 0.429537 0.183891i
\(317\) 22.9026 3.29290i 1.28634 0.184948i 0.534994 0.844856i \(-0.320314\pi\)
0.751347 + 0.659908i \(0.229405\pi\)
\(318\) −9.48959 + 16.8958i −0.532150 + 0.947472i
\(319\) −14.7547 17.0279i −0.826107 0.953378i
\(320\) 7.39285 0.526660i 0.413273 0.0294412i
\(321\) 12.3337i 0.688399i
\(322\) 1.14609 0.756865i 0.0638688 0.0421784i
\(323\) 23.1623 1.28878
\(324\) −0.609151 + 1.90498i −0.0338417 + 0.105832i
\(325\) −9.54861 + 8.27391i −0.529661 + 0.458954i
\(326\) −0.163041 + 0.290287i −0.00902999 + 0.0160775i
\(327\) 0.192285 + 1.33737i 0.0106334 + 0.0739569i
\(328\) −5.16857 + 6.41196i −0.285387 + 0.354042i
\(329\) 2.22336 + 1.01538i 0.122578 + 0.0559795i
\(330\) 7.26359 + 1.67122i 0.399847 + 0.0919977i
\(331\) −2.51020 + 17.4588i −0.137973 + 0.959625i 0.796765 + 0.604289i \(0.206543\pi\)
−0.934739 + 0.355336i \(0.884366\pi\)
\(332\) −2.16991 + 12.8966i −0.119089 + 0.707791i
\(333\) 9.61216 + 2.82238i 0.526743 + 0.154666i
\(334\) −0.624184 3.04396i −0.0341538 0.166558i
\(335\) −5.44564 + 2.48694i −0.297527 + 0.135876i
\(336\) −0.787218 + 0.190821i −0.0429462 + 0.0104101i
\(337\) 10.0810 + 8.73524i 0.549148 + 0.475839i 0.884686 0.466187i \(-0.154373\pi\)
−0.335538 + 0.942027i \(0.608918\pi\)
\(338\) −0.310397 5.21472i −0.0168834 0.283643i
\(339\) 2.13802 3.32683i 0.116121 0.180689i
\(340\) −4.29487 + 8.83925i −0.232922 + 0.479376i
\(341\) 7.73856 4.97327i 0.419066 0.269318i
\(342\) 2.22727 5.76041i 0.120437 0.311487i
\(343\) 2.71224 0.796387i 0.146447 0.0430009i
\(344\) −4.23116 0.455498i −0.228129 0.0245588i
\(345\) −3.95038 2.03360i −0.212682 0.109485i
\(346\) 15.4737 + 29.1610i 0.831874 + 1.56770i
\(347\) −20.4584 + 6.00714i −1.09827 + 0.322480i −0.780163 0.625576i \(-0.784864\pi\)
−0.318103 + 0.948056i \(0.603046\pi\)
\(348\) −0.939672 7.86536i −0.0503717 0.421628i
\(349\) 8.77052 + 13.6472i 0.469475 + 0.730518i 0.992559 0.121764i \(-0.0388550\pi\)
−0.523084 + 0.852281i \(0.675219\pi\)
\(350\) 0.699417 + 0.957956i 0.0373854 + 0.0512049i
\(351\) 1.64927 2.56632i 0.0880317 0.136980i
\(352\) −13.7088 29.1144i −0.730681 1.55180i
\(353\) −6.98861 + 8.06529i −0.371966 + 0.429272i −0.910613 0.413260i \(-0.864390\pi\)
0.538647 + 0.842532i \(0.318936\pi\)
\(354\) −2.77030 7.70746i −0.147240 0.409647i
\(355\) 4.87296 2.22541i 0.258630 0.118112i
\(356\) −14.6884 17.7931i −0.778483 0.943030i
\(357\) 0.302593 1.03054i 0.0160149 0.0545418i
\(358\) 5.48617 + 4.21009i 0.289953 + 0.222510i
\(359\) −4.73808 + 32.9541i −0.250066 + 1.73925i 0.347723 + 0.937597i \(0.386955\pi\)
−0.597790 + 0.801653i \(0.703954\pi\)
\(360\) 1.78531 + 1.91810i 0.0940942 + 0.101093i
\(361\) −0.0297137 + 0.0650639i −0.00156388 + 0.00342441i
\(362\) −14.9873 1.25204i −0.787716 0.0658059i
\(363\) −3.04010 21.1444i −0.159564 1.10979i
\(364\) 1.23516 + 0.0295180i 0.0647400 + 0.00154716i
\(365\) −5.43340 6.27048i −0.284397 0.328212i
\(366\) 14.6556 14.3095i 0.766059 0.747970i
\(367\) 12.3136 0.642763 0.321381 0.946950i \(-0.395853\pi\)
0.321381 + 0.946950i \(0.395853\pi\)
\(368\) 3.63813 + 18.8352i 0.189650 + 0.981852i
\(369\) −2.91177 −0.151581
\(370\) 9.39133 9.16958i 0.488232 0.476704i
\(371\) −1.81712 2.09707i −0.0943404 0.108875i
\(372\) 3.23313 + 0.0772657i 0.167630 + 0.00400604i
\(373\) 4.34766 + 30.2386i 0.225113 + 1.56570i 0.718275 + 0.695760i \(0.244932\pi\)
−0.493161 + 0.869938i \(0.664159\pi\)
\(374\) 42.5216 + 3.55226i 2.19874 + 0.183683i
\(375\) 3.51828 7.70395i 0.181683 0.397830i
\(376\) −24.9898 + 23.2597i −1.28875 + 1.19953i
\(377\) −1.71949 + 11.9593i −0.0885584 + 0.615937i
\(378\) −0.227195 0.174350i −0.0116857 0.00896759i
\(379\) 4.46584 15.2092i 0.229395 0.781246i −0.761682 0.647951i \(-0.775626\pi\)
0.991076 0.133295i \(-0.0425558\pi\)
\(380\) −5.15137 6.24021i −0.264260 0.320116i
\(381\) 2.13777 0.976285i 0.109521 0.0500166i
\(382\) −5.91799 16.4649i −0.302791 0.842416i
\(383\) −8.62982 + 9.95935i −0.440963 + 0.508899i −0.932109 0.362179i \(-0.882033\pi\)
0.491145 + 0.871078i \(0.336578\pi\)
\(384\) 1.74692 11.1780i 0.0891470 0.570426i
\(385\) −0.577005 + 0.897837i −0.0294069 + 0.0457580i
\(386\) 10.3033 + 14.1119i 0.524424 + 0.718277i
\(387\) −0.813440 1.26574i −0.0413495 0.0643411i
\(388\) 2.96599 + 24.8263i 0.150575 + 1.26036i
\(389\) 10.2394 3.00657i 0.519160 0.152439i −0.0116467 0.999932i \(-0.503707\pi\)
0.530806 + 0.847493i \(0.321889\pi\)
\(390\) −1.87345 3.53060i −0.0948659 0.178779i
\(391\) −24.0422 8.30510i −1.21587 0.420007i
\(392\) −2.10677 + 19.5699i −0.106408 + 0.988431i
\(393\) −15.9931 + 4.69599i −0.806745 + 0.236882i
\(394\) −1.91470 + 4.95200i −0.0964610 + 0.249478i
\(395\) 3.23673 2.08012i 0.162858 0.104662i
\(396\) 4.97229 10.2335i 0.249867 0.514250i
\(397\) 6.12814 9.53558i 0.307563 0.478577i −0.652723 0.757597i \(-0.726373\pi\)
0.960285 + 0.279020i \(0.0900096\pi\)
\(398\) −1.24817 20.9694i −0.0625650 1.05110i
\(399\) 0.668350 + 0.579128i 0.0334593 + 0.0289927i
\(400\) −16.1005 + 3.90275i −0.805026 + 0.195138i
\(401\) −23.4511 + 10.7098i −1.17109 + 0.534820i −0.903448 0.428698i \(-0.858972\pi\)
−0.267644 + 0.963518i \(0.586245\pi\)
\(402\) 1.83572 + 8.95227i 0.0915574 + 0.446499i
\(403\) −4.73307 1.38975i −0.235771 0.0692286i
\(404\) −4.99336 + 29.6774i −0.248429 + 1.47651i
\(405\) −0.131847 + 0.917018i −0.00655155 + 0.0455670i
\(406\) 1.10538 + 0.254329i 0.0548593 + 0.0126221i
\(407\) −51.8395 23.6743i −2.56959 1.17349i
\(408\) 11.6794 + 9.41459i 0.578218 + 0.466092i
\(409\) 0.443640 + 3.08558i 0.0219366 + 0.152572i 0.997846 0.0656054i \(-0.0208979\pi\)
−0.975909 + 0.218178i \(0.929989\pi\)
\(410\) −1.86820 + 3.32626i −0.0922640 + 0.164272i
\(411\) −2.72745 + 2.36335i −0.134535 + 0.116576i
\(412\) 8.68516 27.1608i 0.427887 1.33812i
\(413\) 1.17277 0.0577082
\(414\) −4.37734 + 5.18063i −0.215134 + 0.254614i
\(415\) 6.05797i 0.297374i
\(416\) −6.98511 + 15.7799i −0.342473 + 0.773671i
\(417\) −4.84687 5.59359i −0.237352 0.273919i
\(418\) −17.2050 + 30.6328i −0.841523 + 1.49830i
\(419\) −4.64869 + 0.668381i −0.227104 + 0.0326526i −0.254927 0.966960i \(-0.582051\pi\)
0.0278235 + 0.999613i \(0.491142\pi\)
\(420\) −0.344937 + 0.147673i −0.0168312 + 0.00720568i
\(421\) 4.69325 10.2768i 0.228735 0.500860i −0.760112 0.649792i \(-0.774856\pi\)
0.988848 + 0.148932i \(0.0475834\pi\)
\(422\) 3.15156 13.6975i 0.153415 0.666786i
\(423\) −11.9473 1.71776i −0.580896 0.0835202i
\(424\) 36.7751 12.2342i 1.78596 0.594146i
\(425\) 6.18876 21.0770i 0.300199 1.02238i
\(426\) −1.64267 8.01083i −0.0795877 0.388126i
\(427\) 1.21840 + 2.66793i 0.0589626 + 0.129110i
\(428\) −16.5945 + 18.2511i −0.802124 + 0.882201i
\(429\) −11.3645 + 13.1153i −0.548682 + 0.633213i
\(430\) −1.96782 + 0.117131i −0.0948966 + 0.00564855i
\(431\) 3.81303 + 2.45048i 0.183667 + 0.118036i 0.629243 0.777208i \(-0.283365\pi\)
−0.445576 + 0.895244i \(0.647001\pi\)
\(432\) 3.46448 1.99935i 0.166685 0.0961938i
\(433\) −11.8404 18.4240i −0.569012 0.885401i 0.430843 0.902427i \(-0.358216\pi\)
−0.999855 + 0.0170265i \(0.994580\pi\)
\(434\) −0.167005 + 0.431927i −0.00801650 + 0.0207332i
\(435\) −1.03377 3.52070i −0.0495655 0.168805i
\(436\) 1.51484 2.23773i 0.0725478 0.107168i
\(437\) 14.4439 15.1664i 0.690946 0.725505i
\(438\) −11.1878 + 5.93662i −0.534574 + 0.283662i
\(439\) −1.53974 5.24387i −0.0734877 0.250276i 0.914554 0.404464i \(-0.132542\pi\)
−0.988042 + 0.154188i \(0.950724\pi\)
\(440\) −8.49993 12.2459i −0.405218 0.583800i
\(441\) −5.85428 + 3.76232i −0.278775 + 0.179158i
\(442\) −13.4927 18.4802i −0.641780 0.879015i
\(443\) −25.8908 16.6390i −1.23011 0.790542i −0.246200 0.969219i \(-0.579182\pi\)
−0.983908 + 0.178677i \(0.942818\pi\)
\(444\) −10.4264 17.1093i −0.494817 0.811970i
\(445\) −8.07726 6.99899i −0.382899 0.331784i
\(446\) −11.5000 + 4.13345i −0.544539 + 0.195724i
\(447\) 1.51969 + 3.32765i 0.0718787 + 0.157392i
\(448\) 1.42165 + 0.776797i 0.0671666 + 0.0367002i
\(449\) 18.1997 + 5.34392i 0.858899 + 0.252195i 0.681387 0.731923i \(-0.261377\pi\)
0.177512 + 0.984119i \(0.443195\pi\)
\(450\) −4.64669 3.56588i −0.219047 0.168097i
\(451\) 16.3957 + 2.35735i 0.772045 + 0.111003i
\(452\) −7.63991 + 2.04634i −0.359351 + 0.0962518i
\(453\) −9.33698 4.26406i −0.438690 0.200343i
\(454\) 1.33269 15.9527i 0.0625461 0.748695i
\(455\) 0.566494 0.0814495i 0.0265576 0.00381841i
\(456\) −11.0463 + 5.52742i −0.517288 + 0.258845i
\(457\) −12.8086 + 11.0987i −0.599161 + 0.519176i −0.900793 0.434248i \(-0.857014\pi\)
0.301632 + 0.953424i \(0.402469\pi\)
\(458\) 1.18963 1.16153i 0.0555875 0.0542750i
\(459\) 5.30382i 0.247561i
\(460\) 3.10957 + 8.32435i 0.144984 + 0.388125i
\(461\) 14.7348i 0.686267i −0.939287 0.343134i \(-0.888512\pi\)
0.939287 0.343134i \(-0.111488\pi\)
\(462\) 1.13815 + 1.16567i 0.0529514 + 0.0542320i
\(463\) 22.4526 19.4553i 1.04346 0.904163i 0.0479523 0.998850i \(-0.484730\pi\)
0.995507 + 0.0946869i \(0.0301850\pi\)
\(464\) −9.19202 + 12.9033i −0.426729 + 0.599019i
\(465\) 1.48284 0.213200i 0.0687651 0.00988693i
\(466\) −41.1374 3.43663i −1.90565 0.159199i
\(467\) 10.2840 + 4.69653i 0.475885 + 0.217329i 0.638893 0.769295i \(-0.279392\pi\)
−0.163008 + 0.986625i \(0.552120\pi\)
\(468\) −5.89344 + 1.57855i −0.272424 + 0.0729685i
\(469\) −1.29524 0.186228i −0.0598088 0.00859921i
\(470\) −9.62768 + 12.5458i −0.444092 + 0.578695i
\(471\) 3.12590 + 0.917847i 0.144034 + 0.0422922i
\(472\) −6.27064 + 15.1326i −0.288629 + 0.696536i
\(473\) 3.55562 + 7.78572i 0.163488 + 0.357988i
\(474\) −1.98658 5.52701i −0.0912467 0.253864i
\(475\) 13.6694 + 11.8446i 0.627194 + 0.543467i
\(476\) −1.83432 + 1.11784i −0.0840757 + 0.0512360i
\(477\) 11.5274 + 7.40818i 0.527801 + 0.339197i
\(478\) −1.35287 + 0.987751i −0.0618790 + 0.0451787i
\(479\) 15.6550 10.0608i 0.715294 0.459692i −0.131703 0.991289i \(-0.542044\pi\)
0.846997 + 0.531597i \(0.178408\pi\)
\(480\) −0.0611370 5.24043i −0.00279051 0.239192i
\(481\) 8.60994 + 29.3228i 0.392579 + 1.33700i
\(482\) −0.546711 1.03030i −0.0249020 0.0469289i
\(483\) −0.486086 0.840773i −0.0221177 0.0382565i
\(484\) −23.9502 + 35.3793i −1.08865 + 1.60815i
\(485\) 3.26300 + 11.1128i 0.148165 + 0.504605i
\(486\) 1.31905 + 0.510011i 0.0598332 + 0.0231346i
\(487\) −6.59926 10.2686i −0.299041 0.465317i 0.658921 0.752212i \(-0.271013\pi\)
−0.957962 + 0.286895i \(0.907377\pi\)
\(488\) −40.9398 + 1.45641i −1.85326 + 0.0659287i
\(489\) 0.198051 + 0.127280i 0.00895620 + 0.00575580i
\(490\) 0.541752 + 9.10153i 0.0244739 + 0.411165i
\(491\) 5.64089 6.50994i 0.254570 0.293789i −0.614051 0.789266i \(-0.710461\pi\)
0.868621 + 0.495477i \(0.165007\pi\)
\(492\) 4.30878 + 3.91767i 0.194255 + 0.176622i
\(493\) −8.72644 19.1082i −0.393019 0.860592i
\(494\) 18.4564 3.78461i 0.830394 0.170278i
\(495\) 1.48482 5.05684i 0.0667378 0.227288i
\(496\) −4.68035 4.46438i −0.210154 0.200456i
\(497\) 1.15903 + 0.166644i 0.0519898 + 0.00747500i
\(498\) 9.01197 + 2.07349i 0.403836 + 0.0929154i
\(499\) 17.3321 37.9519i 0.775889 1.69896i 0.0626546 0.998035i \(-0.480043\pi\)
0.713235 0.700925i \(-0.247229\pi\)
\(500\) −15.5716 + 6.66643i −0.696384 + 0.298132i
\(501\) −2.17483 + 0.312693i −0.0971642 + 0.0139701i
\(502\) −15.9101 8.93593i −0.710101 0.398830i
\(503\) −20.3881 23.5291i −0.909060 1.04911i −0.998588 0.0531272i \(-0.983081\pi\)
0.0895274 0.995984i \(-0.471464\pi\)
\(504\) 0.101617 + 0.563681i 0.00452640 + 0.0251083i
\(505\) 13.9405i 0.620346i
\(506\) 28.8423 25.6274i 1.28220 1.13928i
\(507\) −3.69389 −0.164051
\(508\) −4.47697 1.43159i −0.198633 0.0635167i
\(509\) −25.3473 + 21.9636i −1.12350 + 0.973519i −0.999823 0.0188034i \(-0.994014\pi\)
−0.123678 + 0.992322i \(0.539469\pi\)
\(510\) 6.05881 + 3.40294i 0.268288 + 0.150685i
\(511\) −0.258098 1.79511i −0.0114176 0.0794111i
\(512\) −17.6246 + 14.1906i −0.778906 + 0.627141i
\(513\) −3.97245 1.81416i −0.175388 0.0800970i
\(514\) 8.97659 39.0147i 0.395940 1.72087i
\(515\) 1.87985 13.0747i 0.0828362 0.576139i
\(516\) −0.499289 + 2.96746i −0.0219800 + 0.130635i
\(517\) 65.8825 + 19.3448i 2.89751 + 0.850785i
\(518\) 2.81050 0.576310i 0.123486 0.0253216i
\(519\) 21.2336 9.69706i 0.932052 0.425654i
\(520\) −1.97799 + 7.74516i −0.0867407 + 0.339648i
\(521\) −11.2719 9.76715i −0.493831 0.427907i 0.372008 0.928229i \(-0.378669\pi\)
−0.865839 + 0.500323i \(0.833215\pi\)
\(522\) −5.59131 + 0.332812i −0.244725 + 0.0145668i
\(523\) 5.46842 8.50903i 0.239117 0.372074i −0.700867 0.713292i \(-0.747203\pi\)
0.939984 + 0.341218i \(0.110840\pi\)
\(524\) 29.9845 + 14.5690i 1.30988 + 0.636451i
\(525\) 0.705566 0.453440i 0.0307934 0.0197897i
\(526\) −11.9786 4.63153i −0.522290 0.201944i
\(527\) 8.22900 2.41625i 0.358461 0.105254i
\(528\) −21.1266 + 8.45321i −0.919416 + 0.367879i
\(529\) −20.4307 + 10.5635i −0.888291 + 0.459282i
\(530\) 15.8587 8.41514i 0.688858 0.365530i
\(531\) −5.55676 + 1.63161i −0.241143 + 0.0708059i
\(532\) −0.209815 1.75622i −0.00909662 0.0761417i
\(533\) −4.80231 7.47255i −0.208011 0.323672i
\(534\) −13.1765 + 9.62033i −0.570202 + 0.416312i
\(535\) −6.17765 + 9.61260i −0.267083 + 0.415589i
\(536\) 9.32846 15.7172i 0.402928 0.678882i
\(537\) 3.20223 3.69556i 0.138186 0.159475i
\(538\) 5.77045 2.07408i 0.248782 0.0894201i
\(539\) 36.0104 16.4454i 1.55108 0.708354i
\(540\) 1.42892 1.17959i 0.0614907 0.0507614i
\(541\) 5.20899 17.7402i 0.223952 0.762711i −0.768475 0.639879i \(-0.778984\pi\)
0.992428 0.122832i \(-0.0391975\pi\)
\(542\) −21.9377 + 28.5870i −0.942306 + 1.22792i
\(543\) −1.51346 + 10.5263i −0.0649486 + 0.451727i
\(544\) −4.61601 29.6457i −0.197910 1.27105i
\(545\) 0.519995 1.13863i 0.0222741 0.0487736i
\(546\) 0.0727306 0.870606i 0.00311258 0.0372585i
\(547\) 4.24770 + 29.5434i 0.181619 + 1.26318i 0.852936 + 0.522015i \(0.174820\pi\)
−0.671318 + 0.741170i \(0.734271\pi\)
\(548\) 7.21581 + 0.172444i 0.308244 + 0.00736646i
\(549\) −9.48472 10.9460i −0.404798 0.467162i
\(550\) 23.2779 + 23.8408i 0.992572 + 1.01658i
\(551\) 17.2965 0.736857
\(552\) 13.4478 1.77664i 0.572377 0.0756189i
\(553\) 0.840992 0.0357626
\(554\) −21.9683 22.4995i −0.933342 0.955914i
\(555\) −6.07784 7.01420i −0.257990 0.297736i
\(556\) −0.353657 + 14.7985i −0.0149984 + 0.627597i
\(557\) 6.32433 + 43.9867i 0.267971 + 1.86378i 0.467647 + 0.883915i \(0.345102\pi\)
−0.199677 + 0.979862i \(0.563989\pi\)
\(558\) 0.190378 2.27888i 0.00805935 0.0964727i
\(559\) 1.90670 4.17510i 0.0806449 0.176588i
\(560\) 0.709117 + 0.245577i 0.0299657 + 0.0103775i
\(561\) 4.29393 29.8650i 0.181290 1.26090i
\(562\) −10.3278 + 13.4581i −0.435651 + 0.567696i
\(563\) −8.01378 + 27.2924i −0.337741 + 1.15024i 0.599156 + 0.800632i \(0.295503\pi\)
−0.936897 + 0.349607i \(0.886315\pi\)
\(564\) 15.3681 + 18.6165i 0.647114 + 0.783894i
\(565\) −3.33266 + 1.52197i −0.140206 + 0.0640299i
\(566\) −37.7372 + 13.5639i −1.58621 + 0.570135i
\(567\) −0.132612 + 0.153042i −0.00556917 + 0.00642716i
\(568\) −8.34745 + 14.0644i −0.350251 + 0.590128i
\(569\) 13.7727 21.4307i 0.577380 0.898421i −0.422588 0.906322i \(-0.638878\pi\)
0.999969 + 0.00790039i \(0.00251480\pi\)
\(570\) −4.62113 + 3.37395i −0.193558 + 0.141319i
\(571\) −3.36774 5.24030i −0.140936 0.219300i 0.763609 0.645679i \(-0.223425\pi\)
−0.904545 + 0.426379i \(0.859789\pi\)
\(572\) 34.4630 4.11728i 1.44097 0.172152i
\(573\) −11.8705 + 3.48549i −0.495897 + 0.145608i
\(574\) −0.736605 + 0.390866i −0.0307453 + 0.0163144i
\(575\) −9.94165 17.1958i −0.414595 0.717116i
\(576\) −7.81670 1.70272i −0.325696 0.0709466i
\(577\) 28.2697 8.30075i 1.17689 0.345565i 0.365913 0.930649i \(-0.380757\pi\)
0.810972 + 0.585085i \(0.198939\pi\)
\(578\) 14.6817 + 5.67668i 0.610676 + 0.236119i
\(579\) 10.3939 6.67975i 0.431955 0.277601i
\(580\) −3.20721 + 6.60075i −0.133172 + 0.274081i
\(581\) −0.715893 + 1.11395i −0.0297002 + 0.0462145i
\(582\) 17.6484 1.05049i 0.731551 0.0435442i
\(583\) −58.9111 51.0467i −2.43985 2.11414i
\(584\) 24.5429 + 6.26788i 1.01559 + 0.259367i
\(585\) −2.57082 + 1.17405i −0.106290 + 0.0485411i
\(586\) −15.0841 + 3.09308i −0.623117 + 0.127774i
\(587\) −3.94078 1.15712i −0.162653 0.0477594i 0.199392 0.979920i \(-0.436103\pi\)
−0.362045 + 0.932160i \(0.617921\pi\)
\(588\) 13.7251 + 2.30930i 0.566012 + 0.0952341i
\(589\) −1.00499 + 6.98983i −0.0414097 + 0.288011i
\(590\) −1.70136 + 7.39460i −0.0700441 + 0.304431i
\(591\) 3.41496 + 1.55956i 0.140473 + 0.0641517i
\(592\) −7.59101 + 39.3462i −0.311989 + 1.61712i
\(593\) −5.45699 37.9542i −0.224092 1.55859i −0.722329 0.691550i \(-0.756928\pi\)
0.498237 0.867041i \(-0.333981\pi\)
\(594\) −7.01445 3.93968i −0.287806 0.161647i
\(595\) −0.752005 + 0.651616i −0.0308292 + 0.0267137i
\(596\) 2.22842 6.96886i 0.0912797 0.285455i
\(597\) −14.8539 −0.607929
\(598\) −20.5146 2.68938i −0.838904 0.109977i
\(599\) 9.20302i 0.376025i −0.982167 0.188013i \(-0.939795\pi\)
0.982167 0.188013i \(-0.0602046\pi\)
\(600\) 2.07832 + 11.5286i 0.0848472 + 0.470655i
\(601\) 13.0357 + 15.0440i 0.531739 + 0.613659i 0.956531 0.291632i \(-0.0941981\pi\)
−0.424792 + 0.905291i \(0.639653\pi\)
\(602\) −0.375688 0.211006i −0.0153119 0.00859996i
\(603\) 6.39615 0.919628i 0.260471 0.0374501i
\(604\) 8.07953 + 18.8724i 0.328752 + 0.767906i
\(605\) −8.22131 + 18.0022i −0.334244 + 0.731892i
\(606\) 20.7382 + 4.77150i 0.842434 + 0.193829i
\(607\) −7.59528 1.09204i −0.308283 0.0443244i −0.0135629 0.999908i \(-0.504317\pi\)
−0.294720 + 0.955584i \(0.595226\pi\)
\(608\) 23.7829 + 6.68294i 0.964525 + 0.271029i
\(609\) 0.225962 0.769558i 0.00915646 0.0311840i
\(610\) −18.5895 + 3.81190i −0.752667 + 0.154339i
\(611\) −15.2960 33.4936i −0.618810 1.35500i
\(612\) 7.13607 7.84847i 0.288459 0.317255i
\(613\) −15.3094 + 17.6680i −0.618341 + 0.713604i −0.975391 0.220482i \(-0.929237\pi\)
0.357050 + 0.934085i \(0.383783\pi\)
\(614\) −0.702502 11.8022i −0.0283507 0.476296i
\(615\) 2.26937 + 1.45844i 0.0915099 + 0.0588099i
\(616\) −0.115840 3.25626i −0.00466732 0.131199i
\(617\) −5.26780 8.19686i −0.212074 0.329993i 0.718877 0.695137i \(-0.244656\pi\)
−0.930951 + 0.365144i \(0.881020\pi\)
\(618\) −18.8067 7.27164i −0.756518 0.292508i
\(619\) 4.76989 + 16.2448i 0.191718 + 0.652932i 0.998104 + 0.0615428i \(0.0196021\pi\)
−0.806386 + 0.591389i \(0.798580\pi\)
\(620\) −2.48113 1.67961i −0.0996445 0.0674549i
\(621\) 3.47287 + 3.30744i 0.139362 + 0.132723i
\(622\) 14.5017 + 27.3291i 0.581465 + 1.09580i
\(623\) −0.658166 2.24151i −0.0263688 0.0898040i
\(624\) 10.8448 + 5.59348i 0.434141 + 0.223918i
\(625\) 10.8203 6.95377i 0.432811 0.278151i
\(626\) 15.2173 11.1103i 0.608204 0.444058i
\(627\) 20.8995 + 13.4313i 0.834646 + 0.536394i
\(628\) −3.39071 5.56398i −0.135304 0.222027i
\(629\) −40.1556 34.7950i −1.60111 1.38737i
\(630\) 0.0897433 + 0.249681i 0.00357546 + 0.00994753i
\(631\) −2.82529 6.18653i −0.112473 0.246282i 0.845022 0.534732i \(-0.179587\pi\)
−0.957495 + 0.288450i \(0.906860\pi\)
\(632\) −4.49667 + 10.8516i −0.178868 + 0.431653i
\(633\) −9.53610 2.80005i −0.379026 0.111292i
\(634\) −19.9213 + 25.9594i −0.791175 + 1.03098i
\(635\) −2.15513 0.309860i −0.0855236 0.0122964i
\(636\) −7.09050 26.4720i −0.281157 1.04968i
\(637\) −19.3106 8.81886i −0.765114 0.349416i
\(638\) 31.7532 + 2.65267i 1.25712 + 0.105020i
\(639\) −5.72352 + 0.822918i −0.226419 + 0.0325541i
\(640\) −6.96031 + 7.83692i −0.275130 + 0.309781i
\(641\) −2.91391 + 2.52492i −0.115093 + 0.0997283i −0.710506 0.703691i \(-0.751534\pi\)
0.595413 + 0.803420i \(0.296988\pi\)
\(642\) 12.1855 + 12.4802i 0.480922 + 0.492552i
\(643\) 21.8728i 0.862580i −0.902213 0.431290i \(-0.858059\pi\)
0.902213 0.431290i \(-0.141941\pi\)
\(644\) −0.411926 + 1.89817i −0.0162322 + 0.0747982i
\(645\) 1.39392i 0.0548856i
\(646\) −23.4373 + 22.8839i −0.922130 + 0.900356i
\(647\) −18.4655 + 16.0005i −0.725955 + 0.629044i −0.937363 0.348354i \(-0.886741\pi\)
0.211408 + 0.977398i \(0.432195\pi\)
\(648\) −1.26570 2.52943i −0.0497213 0.0993653i
\(649\) 32.6102 4.68863i 1.28006 0.184045i
\(650\) 1.48752 17.8060i 0.0583452 0.698410i
\(651\) 0.297862 + 0.136029i 0.0116741 + 0.00533140i
\(652\) −0.121822 0.454816i −0.00477092 0.0178120i
\(653\) 41.5415 + 5.97276i 1.62564 + 0.233732i 0.894037 0.447994i \(-0.147861\pi\)
0.731607 + 0.681726i \(0.238770\pi\)
\(654\) −1.51587 1.16328i −0.0592752 0.0454879i
\(655\) 14.8168 + 4.35060i 0.578939 + 0.169992i
\(656\) −1.10496 11.5946i −0.0431413 0.452692i
\(657\) 3.72035 + 8.14643i 0.145145 + 0.317822i
\(658\) −3.25294 + 1.16921i −0.126813 + 0.0455805i
\(659\) 34.1982 + 29.6329i 1.33217 + 1.15434i 0.975474 + 0.220116i \(0.0706436\pi\)
0.356700 + 0.934219i \(0.383902\pi\)
\(660\) −9.00098 + 5.48523i −0.350363 + 0.213512i
\(661\) 7.90976 + 5.08329i 0.307654 + 0.197717i 0.685353 0.728211i \(-0.259648\pi\)
−0.377699 + 0.925929i \(0.623284\pi\)
\(662\) −14.7090 20.1462i −0.571682 0.783005i
\(663\) −13.6113 + 8.74745i −0.528619 + 0.339723i
\(664\) −10.5459 15.1935i −0.409260 0.589624i
\(665\) −0.230826 0.786120i −0.00895103 0.0304844i
\(666\) −12.5148 + 6.64074i −0.484937 + 0.257323i
\(667\) −17.9536 6.20187i −0.695166 0.240137i
\(668\) 3.63898 + 2.46343i 0.140796 + 0.0953128i
\(669\) 2.43446 + 8.29100i 0.0941215 + 0.320548i
\(670\) 3.05325 7.89667i 0.117958 0.305075i
\(671\) 44.5452 + 69.3137i 1.71965 + 2.67582i
\(672\) 0.608038 0.970844i 0.0234556 0.0374511i
\(673\) 18.1780 + 11.6823i 0.700711 + 0.450320i 0.841879 0.539666i \(-0.181450\pi\)
−0.141168 + 0.989986i \(0.545086\pi\)
\(674\) −18.8310 + 1.12088i −0.725343 + 0.0431747i
\(675\) −2.71223 + 3.13008i −0.104394 + 0.120477i
\(676\) 5.46613 + 4.96998i 0.210236 + 0.191153i
\(677\) −4.25282 9.31238i −0.163449 0.357904i 0.810131 0.586249i \(-0.199396\pi\)
−0.973580 + 0.228345i \(0.926669\pi\)
\(678\) 1.12344 + 5.47866i 0.0431453 + 0.210407i
\(679\) −0.713229 + 2.42904i −0.0273712 + 0.0932178i
\(680\) −4.38716 13.1875i −0.168240 0.505717i
\(681\) −11.2043 1.61094i −0.429350 0.0617312i
\(682\) −2.91695 + 12.6779i −0.111696 + 0.485461i
\(683\) −9.28447 + 20.3301i −0.355260 + 0.777911i 0.644649 + 0.764478i \(0.277003\pi\)
−0.999910 + 0.0134332i \(0.995724\pi\)
\(684\) 3.43746 + 8.02932i 0.131435 + 0.307009i
\(685\) 3.30946 0.475829i 0.126448 0.0181805i
\(686\) −1.95764 + 3.48549i −0.0747429 + 0.133077i
\(687\) −0.769896 0.888507i −0.0293734 0.0338987i
\(688\) 4.73143 3.71941i 0.180384 0.141801i
\(689\) 41.8010i 1.59249i
\(690\) 6.00645 1.84516i 0.228662 0.0702442i
\(691\) −0.568566 −0.0216293 −0.0108146 0.999942i \(-0.503442\pi\)
−0.0108146 + 0.999942i \(0.503442\pi\)
\(692\) −44.4680 14.2195i −1.69042 0.540543i
\(693\) 0.870617 0.754394i 0.0330720 0.0286571i
\(694\) 14.7664 26.2910i 0.560526 0.997994i
\(695\) 0.975852 + 6.78720i 0.0370162 + 0.257453i
\(696\) 8.72167 + 7.03039i 0.330594 + 0.266486i
\(697\) 14.0479 + 6.41547i 0.532103 + 0.243003i
\(698\) −22.3579 5.14414i −0.846257 0.194709i
\(699\) −4.15415 + 28.8928i −0.157125 + 1.09283i
\(700\) −1.65417 0.278321i −0.0625216 0.0105195i
\(701\) −3.62813 1.06532i −0.137033 0.0402364i 0.212497 0.977162i \(-0.431840\pi\)
−0.349530 + 0.936925i \(0.613659\pi\)
\(702\) 0.866620 + 4.22625i 0.0327084 + 0.159510i
\(703\) 39.7958 18.1741i 1.50093 0.685451i
\(704\) 42.6361 + 15.9161i 1.60691 + 0.599860i
\(705\) 8.45105 + 7.32288i 0.318285 + 0.275796i
\(706\) −0.896758 15.0657i −0.0337499 0.567004i
\(707\) −1.64740 + 2.56341i −0.0619570 + 0.0964070i
\(708\) 10.4180 + 5.06197i 0.391534 + 0.190241i
\(709\) 25.6884 16.5090i 0.964750 0.620007i 0.0394411 0.999222i \(-0.487442\pi\)
0.925309 + 0.379215i \(0.123806\pi\)
\(710\) −2.73217 + 7.06624i −0.102536 + 0.265191i
\(711\) −3.98474 + 1.17003i −0.149440 + 0.0438794i
\(712\) 32.4420 + 3.49249i 1.21582 + 0.130887i
\(713\) 3.54944 6.89501i 0.132928 0.258220i
\(714\) 0.711966 + 1.34173i 0.0266446 + 0.0502130i
\(715\) 15.4264 4.52959i 0.576913 0.169397i
\(716\) −9.71081 + 1.16015i −0.362910 + 0.0433567i
\(717\) 0.640371 + 0.996436i 0.0239151 + 0.0372126i
\(718\) −27.7637 38.0266i −1.03613 1.41914i
\(719\) 23.4540 36.4952i 0.874688 1.36104i −0.0572253 0.998361i \(-0.518225\pi\)
0.931914 0.362680i \(-0.118138\pi\)
\(720\) −3.70156 0.177022i −0.137949 0.00659722i
\(721\) 1.89075 2.18204i 0.0704153 0.0812636i
\(722\) −0.0342154 0.0951931i −0.00127337 0.00354272i
\(723\) −0.750216 + 0.342612i −0.0279008 + 0.0127419i
\(724\) 16.4023 13.5403i 0.609587 0.503221i
\(725\) 4.62148 15.7393i 0.171638 0.584544i
\(726\) 23.9665 + 18.3919i 0.889479 + 0.682587i
\(727\) 3.92252 27.2817i 0.145478 1.01182i −0.778025 0.628233i \(-0.783778\pi\)
0.923503 0.383590i \(-0.125313\pi\)
\(728\) −1.27899 + 1.19045i −0.0474025 + 0.0441209i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 11.6930 + 0.976839i 0.432779 + 0.0361544i
\(731\) 1.13568 + 7.89882i 0.0420046 + 0.292148i
\(732\) −0.692063 + 28.9589i −0.0255794 + 1.07035i
\(733\) −13.7356 15.8517i −0.507334 0.585495i 0.443080 0.896482i \(-0.353886\pi\)
−0.950414 + 0.310987i \(0.899340\pi\)
\(734\) −12.4598 + 12.1656i −0.459899 + 0.449040i
\(735\) 6.44715 0.237807
\(736\) −22.2902 15.4644i −0.821626 0.570027i
\(737\) −36.7602 −1.35408
\(738\) 2.94635 2.87678i 0.108457 0.105896i
\(739\) 26.7580 + 30.8803i 0.984308 + 1.13595i 0.990713 + 0.135972i \(0.0434157\pi\)
−0.00640517 + 0.999979i \(0.502039\pi\)
\(740\) −0.443476 + 18.5569i −0.0163025 + 0.682166i
\(741\) −1.89595 13.1866i −0.0696495 0.484423i
\(742\) 3.91057 + 0.326690i 0.143562 + 0.0119932i
\(743\) −6.21396 + 13.6067i −0.227968 + 0.499180i −0.988704 0.149881i \(-0.952111\pi\)
0.760736 + 0.649061i \(0.224838\pi\)
\(744\) −3.34786 + 3.11609i −0.122738 + 0.114241i
\(745\) 0.482329 3.35467i 0.0176712 0.122906i
\(746\) −34.2745 26.3023i −1.25488 0.962996i
\(747\) 1.84223 6.27405i 0.0674035 0.229555i
\(748\) −46.5361 + 38.4161i −1.70153 + 1.40463i
\(749\) −2.27191 + 1.03755i −0.0830139 + 0.0379112i
\(750\) 4.05131 + 11.2714i 0.147933 + 0.411575i
\(751\) −12.3102 + 14.2067i −0.449204 + 0.518409i −0.934511 0.355935i \(-0.884163\pi\)
0.485307 + 0.874344i \(0.338708\pi\)
\(752\) 2.30631 48.2254i 0.0841025 1.75860i
\(753\) −6.97596 + 10.8548i −0.254218 + 0.395571i
\(754\) −10.0757 13.8002i −0.366935 0.502573i
\(755\) 5.14127 + 7.99998i 0.187110 + 0.291149i
\(756\) 0.402148 0.0480444i 0.0146260 0.00174736i
\(757\) −30.1973 + 8.86672i −1.09754 + 0.322267i −0.779874 0.625936i \(-0.784717\pi\)
−0.317665 + 0.948203i \(0.602899\pi\)
\(758\) 10.5076 + 19.8020i 0.381653 + 0.719242i
\(759\) −16.8775 21.4353i −0.612614 0.778051i
\(760\) 11.3778 + 1.22485i 0.412715 + 0.0444301i
\(761\) −7.20792 + 2.11644i −0.261287 + 0.0767208i −0.409752 0.912197i \(-0.634385\pi\)
0.148465 + 0.988918i \(0.452567\pi\)
\(762\) −1.19860 + 3.09995i −0.0434207 + 0.112299i
\(763\) 0.230174 0.147924i 0.00833285 0.00535520i
\(764\) 22.2553 + 10.8135i 0.805167 + 0.391219i
\(765\) 2.65655 4.13368i 0.0960479 0.149453i
\(766\) −1.10735 18.6037i −0.0400103 0.672180i
\(767\) −13.3519 11.5695i −0.482108 0.417749i
\(768\) 9.27603 + 13.0367i 0.334720 + 0.470421i
\(769\) 3.85070 1.75856i 0.138860 0.0634152i −0.344773 0.938686i \(-0.612044\pi\)
0.483633 + 0.875271i \(0.339317\pi\)
\(770\) −0.303190 1.47857i −0.0109262 0.0532839i
\(771\) −27.1617 7.97539i −0.978205 0.287227i
\(772\) −24.3680 4.10002i −0.877022 0.147563i
\(773\) −1.99233 + 13.8569i −0.0716590 + 0.498399i