Properties

Label 190.2.k.d.161.3
Level $190$
Weight $2$
Character 190.161
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 161.3
Root \(-1.71449 - 2.96958i\) of defining polynomial
Character \(\chi\) \(=\) 190.161
Dual form 190.2.k.d.131.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(2.62675 - 2.20410i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-2.62675 - 2.20410i) q^{6} +(-0.933500 + 1.61687i) q^{7} +(0.500000 + 0.866025i) q^{8} +(1.52078 - 8.62480i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(2.62675 - 2.20410i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(-2.62675 - 2.20410i) q^{6} +(-0.933500 + 1.61687i) q^{7} +(0.500000 + 0.866025i) q^{8} +(1.52078 - 8.62480i) q^{9} +(-0.173648 + 0.984808i) q^{10} +(1.80254 + 3.12210i) q^{11} +(-1.71449 + 2.96958i) q^{12} +(-2.17319 - 1.82353i) q^{13} +(1.75441 + 0.638551i) q^{14} +(-3.22218 + 1.17278i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.03994 + 5.89781i) q^{17} -8.75785 q^{18} +(4.32047 + 0.577506i) q^{19} +1.00000 q^{20} +(1.11168 + 6.30463i) q^{21} +(2.76166 - 2.31731i) q^{22} +(-4.78092 + 1.74011i) q^{23} +(3.22218 + 1.17278i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-1.41845 + 2.45683i) q^{26} +(-9.87176 - 17.0984i) q^{27} +(0.324201 - 1.83864i) q^{28} +(0.204642 - 1.16058i) q^{29} +(1.71449 + 2.96958i) q^{30} +(2.59932 - 4.50215i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(11.6162 + 4.22797i) q^{33} +(5.62762 - 2.04829i) q^{34} +(1.43020 - 1.20008i) q^{35} +(1.52078 + 8.62480i) q^{36} +3.35231 q^{37} +(-0.181510 - 4.35512i) q^{38} -9.72766 q^{39} +(-0.173648 - 0.984808i) q^{40} +(-2.85406 + 2.39484i) q^{41} +(6.01581 - 2.18958i) q^{42} +(-0.631247 - 0.229755i) q^{43} +(-2.76166 - 2.31731i) q^{44} +(-4.37893 + 7.58452i) q^{45} +(2.54388 + 4.40612i) q^{46} +(-1.09789 + 6.22647i) q^{47} +(0.595435 - 3.37688i) q^{48} +(1.75716 + 3.04348i) q^{49} +(0.500000 - 0.866025i) q^{50} +(15.7310 + 13.1999i) q^{51} +(2.66582 + 0.970278i) q^{52} +(-2.40711 + 0.876116i) q^{53} +(-15.1244 + 12.6909i) q^{54} +(-0.626017 - 3.55032i) q^{55} -1.86700 q^{56} +(12.6217 - 8.00580i) q^{57} -1.17848 q^{58} +(-0.827999 - 4.69581i) q^{59} +(2.62675 - 2.20410i) q^{60} +(-7.73966 + 2.81701i) q^{61} +(-4.88512 - 1.77804i) q^{62} +(12.5255 + 10.5102i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.41845 + 2.45683i) q^{65} +(2.14660 - 12.1739i) q^{66} +(1.38291 - 7.84286i) q^{67} +(-2.99439 - 5.18644i) q^{68} +(-8.72288 + 15.1085i) q^{69} +(-1.43020 - 1.20008i) q^{70} +(1.81077 + 0.659065i) q^{71} +(8.22969 - 2.99536i) q^{72} +(-3.83942 + 3.22165i) q^{73} +(-0.582122 - 3.30138i) q^{74} +3.42897 q^{75} +(-4.25744 + 0.935010i) q^{76} -6.73070 q^{77} +(1.68919 + 9.57988i) q^{78} +(-0.460535 + 0.386434i) q^{79} +(-0.939693 + 0.342020i) q^{80} +(-38.9281 - 14.1687i) q^{81} +(2.85406 + 2.39484i) q^{82} +(0.951408 - 1.64789i) q^{83} +(-3.20094 - 5.54420i) q^{84} +(1.03994 - 5.89781i) q^{85} +(-0.116650 + 0.661553i) q^{86} +(-2.02049 - 3.49960i) q^{87} +(-1.80254 + 3.12210i) q^{88} +(0.755257 + 0.633736i) q^{89} +(8.22969 + 2.99536i) q^{90} +(4.97708 - 1.81151i) q^{91} +(3.89744 - 3.27034i) q^{92} +(-3.09545 - 17.5552i) q^{93} +6.32252 q^{94} +(-3.86240 - 2.02037i) q^{95} -3.42897 q^{96} +(-0.0325697 - 0.184712i) q^{97} +(2.69212 - 2.25896i) q^{98} +(29.6688 - 10.7985i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 0.984808i −0.122788 0.696364i
\(3\) 2.62675 2.20410i 1.51655 1.27254i 0.666966 0.745088i \(-0.267593\pi\)
0.849586 0.527450i \(-0.176852\pi\)
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) −0.939693 0.342020i −0.420243 0.152956i
\(6\) −2.62675 2.20410i −1.07236 0.899820i
\(7\) −0.933500 + 1.61687i −0.352830 + 0.611119i −0.986744 0.162284i \(-0.948114\pi\)
0.633914 + 0.773403i \(0.281447\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 1.52078 8.62480i 0.506928 2.87493i
\(10\) −0.173648 + 0.984808i −0.0549124 + 0.311424i
\(11\) 1.80254 + 3.12210i 0.543488 + 0.941348i 0.998700 + 0.0509654i \(0.0162298\pi\)
−0.455213 + 0.890383i \(0.650437\pi\)
\(12\) −1.71449 + 2.96958i −0.494930 + 0.857243i
\(13\) −2.17319 1.82353i −0.602736 0.505755i 0.289588 0.957151i \(-0.406482\pi\)
−0.892324 + 0.451396i \(0.850926\pi\)
\(14\) 1.75441 + 0.638551i 0.468885 + 0.170660i
\(15\) −3.22218 + 1.17278i −0.831963 + 0.302810i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 1.03994 + 5.89781i 0.252223 + 1.43043i 0.803101 + 0.595842i \(0.203182\pi\)
−0.550878 + 0.834586i \(0.685707\pi\)
\(18\) −8.75785 −2.06425
\(19\) 4.32047 + 0.577506i 0.991184 + 0.132489i
\(20\) 1.00000 0.223607
\(21\) 1.11168 + 6.30463i 0.242588 + 1.37578i
\(22\) 2.76166 2.31731i 0.588787 0.494051i
\(23\) −4.78092 + 1.74011i −0.996892 + 0.362839i −0.788385 0.615182i \(-0.789082\pi\)
−0.208507 + 0.978021i \(0.566860\pi\)
\(24\) 3.22218 + 1.17278i 0.657725 + 0.239392i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) −1.41845 + 2.45683i −0.278181 + 0.481824i
\(27\) −9.87176 17.0984i −1.89982 3.29059i
\(28\) 0.324201 1.83864i 0.0612682 0.347469i
\(29\) 0.204642 1.16058i 0.0380010 0.215514i −0.959894 0.280363i \(-0.909545\pi\)
0.997895 + 0.0648484i \(0.0206564\pi\)
\(30\) 1.71449 + 2.96958i 0.313021 + 0.542168i
\(31\) 2.59932 4.50215i 0.466851 0.808610i −0.532432 0.846473i \(-0.678722\pi\)
0.999283 + 0.0378630i \(0.0120550\pi\)
\(32\) −0.766044 0.642788i −0.135419 0.113630i
\(33\) 11.6162 + 4.22797i 2.02213 + 0.735995i
\(34\) 5.62762 2.04829i 0.965129 0.351278i
\(35\) 1.43020 1.20008i 0.241749 0.202851i
\(36\) 1.52078 + 8.62480i 0.253464 + 1.43747i
\(37\) 3.35231 0.551116 0.275558 0.961285i \(-0.411137\pi\)
0.275558 + 0.961285i \(0.411137\pi\)
\(38\) −0.181510 4.35512i −0.0294447 0.706493i
\(39\) −9.72766 −1.55767
\(40\) −0.173648 0.984808i −0.0274562 0.155712i
\(41\) −2.85406 + 2.39484i −0.445730 + 0.374012i −0.837848 0.545903i \(-0.816187\pi\)
0.392119 + 0.919915i \(0.371742\pi\)
\(42\) 6.01581 2.18958i 0.928259 0.337859i
\(43\) −0.631247 0.229755i −0.0962642 0.0350373i 0.293439 0.955978i \(-0.405200\pi\)
−0.389703 + 0.920940i \(0.627422\pi\)
\(44\) −2.76166 2.31731i −0.416336 0.349347i
\(45\) −4.37893 + 7.58452i −0.652772 + 1.13063i
\(46\) 2.54388 + 4.40612i 0.375074 + 0.649647i
\(47\) −1.09789 + 6.22647i −0.160144 + 0.908223i 0.793786 + 0.608197i \(0.208107\pi\)
−0.953931 + 0.300027i \(0.903004\pi\)
\(48\) 0.595435 3.37688i 0.0859436 0.487410i
\(49\) 1.75716 + 3.04348i 0.251022 + 0.434783i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 15.7310 + 13.1999i 2.20278 + 1.84836i
\(52\) 2.66582 + 0.970278i 0.369682 + 0.134553i
\(53\) −2.40711 + 0.876116i −0.330642 + 0.120344i −0.502006 0.864864i \(-0.667405\pi\)
0.171365 + 0.985208i \(0.445182\pi\)
\(54\) −15.1244 + 12.6909i −2.05817 + 1.72701i
\(55\) −0.626017 3.55032i −0.0844121 0.478725i
\(56\) −1.86700 −0.249488
\(57\) 12.6217 8.00580i 1.67178 1.06039i
\(58\) −1.17848 −0.154743
\(59\) −0.827999 4.69581i −0.107796 0.611343i −0.990067 0.140600i \(-0.955097\pi\)
0.882270 0.470743i \(-0.156014\pi\)
\(60\) 2.62675 2.20410i 0.339111 0.284548i
\(61\) −7.73966 + 2.81701i −0.990962 + 0.360681i −0.786093 0.618109i \(-0.787899\pi\)
−0.204869 + 0.978789i \(0.565677\pi\)
\(62\) −4.88512 1.77804i −0.620411 0.225811i
\(63\) 12.5255 + 10.5102i 1.57807 + 1.32416i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 1.41845 + 2.45683i 0.175937 + 0.304732i
\(66\) 2.14660 12.1739i 0.264228 1.49851i
\(67\) 1.38291 7.84286i 0.168949 0.958158i −0.775949 0.630795i \(-0.782729\pi\)
0.944899 0.327363i \(-0.106160\pi\)
\(68\) −2.99439 5.18644i −0.363124 0.628949i
\(69\) −8.72288 + 15.1085i −1.05011 + 1.81885i
\(70\) −1.43020 1.20008i −0.170942 0.143437i
\(71\) 1.81077 + 0.659065i 0.214898 + 0.0782166i 0.447226 0.894421i \(-0.352412\pi\)
−0.232328 + 0.972638i \(0.574634\pi\)
\(72\) 8.22969 2.99536i 0.969878 0.353007i
\(73\) −3.83942 + 3.22165i −0.449370 + 0.377066i −0.839202 0.543820i \(-0.816978\pi\)
0.389832 + 0.920886i \(0.372533\pi\)
\(74\) −0.582122 3.30138i −0.0676703 0.383777i
\(75\) 3.42897 0.395944
\(76\) −4.25744 + 0.935010i −0.488361 + 0.107253i
\(77\) −6.73070 −0.767034
\(78\) 1.68919 + 9.57988i 0.191263 + 1.08471i
\(79\) −0.460535 + 0.386434i −0.0518142 + 0.0434773i −0.668327 0.743868i \(-0.732989\pi\)
0.616513 + 0.787345i \(0.288545\pi\)
\(80\) −0.939693 + 0.342020i −0.105061 + 0.0382390i
\(81\) −38.9281 14.1687i −4.32534 1.57430i
\(82\) 2.85406 + 2.39484i 0.315179 + 0.264466i
\(83\) 0.951408 1.64789i 0.104431 0.180879i −0.809075 0.587706i \(-0.800031\pi\)
0.913505 + 0.406827i \(0.133365\pi\)
\(84\) −3.20094 5.54420i −0.349252 0.604922i
\(85\) 1.03994 5.89781i 0.112798 0.639707i
\(86\) −0.116650 + 0.661553i −0.0125787 + 0.0713371i
\(87\) −2.02049 3.49960i −0.216620 0.375196i
\(88\) −1.80254 + 3.12210i −0.192152 + 0.332817i
\(89\) 0.755257 + 0.633736i 0.0800571 + 0.0671759i 0.681938 0.731410i \(-0.261137\pi\)
−0.601881 + 0.798586i \(0.705582\pi\)
\(90\) 8.22969 + 2.99536i 0.867485 + 0.315739i
\(91\) 4.97708 1.81151i 0.521740 0.189898i
\(92\) 3.89744 3.27034i 0.406337 0.340957i
\(93\) −3.09545 17.5552i −0.320983 1.82039i
\(94\) 6.32252 0.652118
\(95\) −3.86240 2.02037i −0.396274 0.207285i
\(96\) −3.42897 −0.349968
\(97\) −0.0325697 0.184712i −0.00330695 0.0187547i 0.983110 0.183018i \(-0.0585865\pi\)
−0.986417 + 0.164263i \(0.947475\pi\)
\(98\) 2.69212 2.25896i 0.271945 0.228189i
\(99\) 29.6688 10.7985i 2.98182 1.08529i
\(100\) −0.939693 0.342020i −0.0939693 0.0342020i
\(101\) −1.50168 1.26006i −0.149423 0.125380i 0.565012 0.825083i \(-0.308872\pi\)
−0.714435 + 0.699702i \(0.753316\pi\)
\(102\) 10.2677 17.7842i 1.01665 1.76090i
\(103\) −8.75199 15.1589i −0.862359 1.49365i −0.869646 0.493676i \(-0.835653\pi\)
0.00728653 0.999973i \(-0.497681\pi\)
\(104\) 0.492623 2.79380i 0.0483057 0.273955i
\(105\) 1.11168 6.30463i 0.108489 0.615269i
\(106\) 1.28080 + 2.21840i 0.124402 + 0.215470i
\(107\) −5.29485 + 9.17096i −0.511873 + 0.886590i 0.488032 + 0.872826i \(0.337715\pi\)
−0.999905 + 0.0137643i \(0.995619\pi\)
\(108\) 15.1244 + 12.6909i 1.45535 + 1.22118i
\(109\) 13.0386 + 4.74565i 1.24887 + 0.454551i 0.880019 0.474939i \(-0.157530\pi\)
0.368849 + 0.929489i \(0.379752\pi\)
\(110\) −3.38767 + 1.23301i −0.323002 + 0.117563i
\(111\) 8.80565 7.38882i 0.835796 0.701316i
\(112\) 0.324201 + 1.83864i 0.0306341 + 0.173735i
\(113\) −15.9357 −1.49911 −0.749553 0.661944i \(-0.769732\pi\)
−0.749553 + 0.661944i \(0.769732\pi\)
\(114\) −10.0759 11.0397i −0.943694 1.03396i
\(115\) 5.08775 0.474435
\(116\) 0.204642 + 1.16058i 0.0190005 + 0.107757i
\(117\) −19.0325 + 15.9702i −1.75956 + 1.47644i
\(118\) −4.48069 + 1.63084i −0.412481 + 0.150131i
\(119\) −10.5068 3.82415i −0.963154 0.350559i
\(120\) −2.62675 2.20410i −0.239788 0.201206i
\(121\) −0.998331 + 1.72916i −0.0907574 + 0.157196i
\(122\) 4.11819 + 7.13291i 0.372843 + 0.645783i
\(123\) −2.21842 + 12.5813i −0.200028 + 1.13442i
\(124\) −0.902733 + 5.11966i −0.0810679 + 0.459759i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) 8.17545 14.1603i 0.728327 1.26150i
\(127\) −12.8803 10.8078i −1.14294 0.959041i −0.143409 0.989663i \(-0.545807\pi\)
−0.999531 + 0.0306225i \(0.990251\pi\)
\(128\) 0.939693 + 0.342020i 0.0830579 + 0.0302306i
\(129\) −2.16453 + 0.787824i −0.190576 + 0.0693640i
\(130\) 2.17319 1.82353i 0.190602 0.159934i
\(131\) 1.13110 + 6.41481i 0.0988249 + 0.560464i 0.993508 + 0.113763i \(0.0362903\pi\)
−0.894683 + 0.446702i \(0.852599\pi\)
\(132\) −12.3617 −1.07595
\(133\) −4.96691 + 6.44654i −0.430686 + 0.558986i
\(134\) −7.96385 −0.687972
\(135\) 3.42843 + 19.4436i 0.295072 + 1.67344i
\(136\) −4.58768 + 3.84952i −0.393390 + 0.330094i
\(137\) −19.0252 + 6.92459i −1.62543 + 0.591608i −0.984406 0.175914i \(-0.943712\pi\)
−0.641023 + 0.767521i \(0.721490\pi\)
\(138\) 16.3937 + 5.96680i 1.39552 + 0.507928i
\(139\) 3.05535 + 2.56374i 0.259151 + 0.217454i 0.763101 0.646279i \(-0.223676\pi\)
−0.503950 + 0.863733i \(0.668120\pi\)
\(140\) −0.933500 + 1.61687i −0.0788951 + 0.136650i
\(141\) 10.8399 + 18.7752i 0.912882 + 1.58116i
\(142\) 0.334616 1.89770i 0.0280803 0.159252i
\(143\) 1.77595 10.0719i 0.148512 0.842256i
\(144\) −4.37893 7.58452i −0.364910 0.632043i
\(145\) −0.589242 + 1.02060i −0.0489339 + 0.0847560i
\(146\) 3.83942 + 3.22165i 0.317753 + 0.266626i
\(147\) 11.3237 + 4.12151i 0.933967 + 0.339936i
\(148\) −3.15014 + 1.14656i −0.258940 + 0.0942463i
\(149\) 4.31479 3.62054i 0.353481 0.296606i −0.448705 0.893680i \(-0.648115\pi\)
0.802186 + 0.597074i \(0.203670\pi\)
\(150\) −0.595435 3.37688i −0.0486170 0.275721i
\(151\) −1.23848 −0.100786 −0.0503932 0.998729i \(-0.516047\pi\)
−0.0503932 + 0.998729i \(0.516047\pi\)
\(152\) 1.66010 + 4.03039i 0.134652 + 0.326908i
\(153\) 52.4489 4.24024
\(154\) 1.16877 + 6.62844i 0.0941825 + 0.534135i
\(155\) −3.98239 + 3.34162i −0.319873 + 0.268405i
\(156\) 9.14101 3.32706i 0.731867 0.266378i
\(157\) 20.2103 + 7.35594i 1.61296 + 0.587068i 0.982021 0.188769i \(-0.0604498\pi\)
0.630934 + 0.775837i \(0.282672\pi\)
\(158\) 0.460535 + 0.386434i 0.0366382 + 0.0307431i
\(159\) −4.39181 + 7.60685i −0.348294 + 0.603262i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 1.64946 9.35452i 0.129995 0.737240i
\(162\) −7.19362 + 40.7970i −0.565184 + 3.20532i
\(163\) −9.01050 15.6067i −0.705757 1.22241i −0.966418 0.256977i \(-0.917274\pi\)
0.260660 0.965431i \(-0.416060\pi\)
\(164\) 1.86286 3.22656i 0.145465 0.251952i
\(165\) −9.46965 7.94598i −0.737211 0.618594i
\(166\) −1.78806 0.650801i −0.138781 0.0505120i
\(167\) 10.2510 3.73105i 0.793244 0.288717i 0.0865598 0.996247i \(-0.472413\pi\)
0.706684 + 0.707530i \(0.250190\pi\)
\(168\) −4.90413 + 4.11506i −0.378362 + 0.317483i
\(169\) −0.859902 4.87675i −0.0661463 0.375134i
\(170\) −5.98879 −0.459319
\(171\) 11.5514 36.3850i 0.883357 2.78243i
\(172\) 0.671759 0.0512211
\(173\) 0.0253357 + 0.143686i 0.00192623 + 0.0109242i 0.985756 0.168183i \(-0.0537901\pi\)
−0.983829 + 0.179108i \(0.942679\pi\)
\(174\) −3.09558 + 2.59750i −0.234675 + 0.196916i
\(175\) −1.75441 + 0.638551i −0.132621 + 0.0482700i
\(176\) 3.38767 + 1.23301i 0.255356 + 0.0929418i
\(177\) −12.5250 10.5097i −0.941436 0.789958i
\(178\) 0.492959 0.853830i 0.0369488 0.0639973i
\(179\) −2.84974 4.93590i −0.213000 0.368927i 0.739652 0.672989i \(-0.234990\pi\)
−0.952652 + 0.304063i \(0.901657\pi\)
\(180\) 1.52078 8.62480i 0.113353 0.642855i
\(181\) −3.21271 + 18.2202i −0.238799 + 1.35430i 0.595665 + 0.803233i \(0.296889\pi\)
−0.834464 + 0.551063i \(0.814223\pi\)
\(182\) −2.64825 4.58690i −0.196301 0.340004i
\(183\) −14.1212 + 24.4586i −1.04387 + 1.80803i
\(184\) −3.89744 3.27034i −0.287323 0.241093i
\(185\) −3.15014 1.14656i −0.231603 0.0842965i
\(186\) −16.7509 + 6.09684i −1.22824 + 0.447042i
\(187\) −16.5390 + 13.8779i −1.20945 + 1.01485i
\(188\) −1.09789 6.22647i −0.0800721 0.454112i
\(189\) 36.8611 2.68125
\(190\) −1.31897 + 4.15455i −0.0956885 + 0.301403i
\(191\) 18.8820 1.36626 0.683128 0.730298i \(-0.260619\pi\)
0.683128 + 0.730298i \(0.260619\pi\)
\(192\) 0.595435 + 3.37688i 0.0429718 + 0.243705i
\(193\) 3.74110 3.13916i 0.269290 0.225961i −0.498135 0.867099i \(-0.665982\pi\)
0.767426 + 0.641138i \(0.221537\pi\)
\(194\) −0.176250 + 0.0641498i −0.0126540 + 0.00460568i
\(195\) 9.14101 + 3.32706i 0.654602 + 0.238256i
\(196\) −2.69212 2.25896i −0.192294 0.161354i
\(197\) 1.75874 3.04622i 0.125305 0.217034i −0.796547 0.604576i \(-0.793342\pi\)
0.921852 + 0.387542i \(0.126676\pi\)
\(198\) −15.7864 27.3429i −1.12189 1.94317i
\(199\) −0.145954 + 0.827747i −0.0103464 + 0.0586774i −0.989544 0.144232i \(-0.953929\pi\)
0.979197 + 0.202910i \(0.0650398\pi\)
\(200\) −0.173648 + 0.984808i −0.0122788 + 0.0696364i
\(201\) −13.6539 23.6493i −0.963073 1.66809i
\(202\) −0.980151 + 1.69767i −0.0689632 + 0.119448i
\(203\) 1.68547 + 1.41428i 0.118297 + 0.0992630i
\(204\) −19.2970 7.02352i −1.35106 0.491745i
\(205\) 3.50103 1.27427i 0.244522 0.0889988i
\(206\) −13.4088 + 11.2513i −0.934237 + 0.783918i
\(207\) 7.73738 + 43.8809i 0.537785 + 3.04993i
\(208\) −2.83690 −0.196704
\(209\) 5.98481 + 14.5299i 0.413978 + 1.00506i
\(210\) −6.40189 −0.441772
\(211\) −4.75961 26.9931i −0.327665 1.85828i −0.490244 0.871585i \(-0.663092\pi\)
0.162579 0.986695i \(-0.448019\pi\)
\(212\) 1.96229 1.64656i 0.134771 0.113086i
\(213\) 6.20906 2.25991i 0.425438 0.154847i
\(214\) 9.95107 + 3.62189i 0.680241 + 0.247588i
\(215\) 0.514597 + 0.431798i 0.0350952 + 0.0294484i
\(216\) 9.87176 17.0984i 0.671688 1.16340i
\(217\) 4.85292 + 8.40551i 0.329438 + 0.570603i
\(218\) 2.40943 13.6646i 0.163187 0.925480i
\(219\) −2.98432 + 16.9249i −0.201662 + 1.14368i
\(220\) 1.80254 + 3.12210i 0.121528 + 0.210492i
\(221\) 8.49481 14.7134i 0.571423 0.989733i
\(222\) −8.80565 7.38882i −0.590997 0.495905i
\(223\) 10.7455 + 3.91105i 0.719574 + 0.261903i 0.675745 0.737136i \(-0.263822\pi\)
0.0438288 + 0.999039i \(0.486044\pi\)
\(224\) 1.75441 0.638551i 0.117221 0.0426650i
\(225\) 6.70890 5.62944i 0.447260 0.375296i
\(226\) 2.76721 + 15.6936i 0.184072 + 1.04392i
\(227\) 15.6154 1.03643 0.518214 0.855251i \(-0.326597\pi\)
0.518214 + 0.855251i \(0.326597\pi\)
\(228\) −9.12234 + 11.8399i −0.604142 + 0.784113i
\(229\) 5.50003 0.363452 0.181726 0.983349i \(-0.441832\pi\)
0.181726 + 0.983349i \(0.441832\pi\)
\(230\) −0.883479 5.01046i −0.0582549 0.330380i
\(231\) −17.6798 + 14.8351i −1.16325 + 0.976080i
\(232\) 1.10741 0.403065i 0.0727052 0.0264625i
\(233\) 10.6454 + 3.87461i 0.697404 + 0.253834i 0.666302 0.745682i \(-0.267876\pi\)
0.0311019 + 0.999516i \(0.490098\pi\)
\(234\) 19.0325 + 15.9702i 1.24419 + 1.04400i
\(235\) 3.16126 5.47546i 0.206218 0.357180i
\(236\) 2.38413 + 4.12943i 0.155193 + 0.268803i
\(237\) −0.357967 + 2.03013i −0.0232524 + 0.131871i
\(238\) −1.94157 + 11.0112i −0.125853 + 0.713750i
\(239\) −0.741670 1.28461i −0.0479747 0.0830946i 0.841041 0.540972i \(-0.181943\pi\)
−0.889016 + 0.457877i \(0.848610\pi\)
\(240\) −1.71449 + 2.96958i −0.110670 + 0.191685i
\(241\) −6.44943 5.41172i −0.415444 0.348599i 0.410983 0.911643i \(-0.365186\pi\)
−0.826427 + 0.563044i \(0.809630\pi\)
\(242\) 1.87625 + 0.682899i 0.120610 + 0.0438984i
\(243\) −77.8248 + 28.3259i −4.99247 + 1.81711i
\(244\) 6.30943 5.29424i 0.403920 0.338929i
\(245\) −0.610254 3.46092i −0.0389877 0.221110i
\(246\) 12.7754 0.814528
\(247\) −8.33613 9.13353i −0.530415 0.581153i
\(248\) 5.19863 0.330114
\(249\) −1.13300 6.42558i −0.0718011 0.407204i
\(250\) −0.766044 + 0.642788i −0.0484489 + 0.0406535i
\(251\) −10.4219 + 3.79327i −0.657826 + 0.239429i −0.649298 0.760535i \(-0.724937\pi\)
−0.00852858 + 0.999964i \(0.502715\pi\)
\(252\) −15.3648 5.59234i −0.967893 0.352284i
\(253\) −14.0506 11.7899i −0.883356 0.741223i
\(254\) −8.40701 + 14.5614i −0.527503 + 0.913661i
\(255\) −10.2677 17.7842i −0.642988 1.11369i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 1.99428 11.3101i 0.124400 0.705506i −0.857263 0.514879i \(-0.827837\pi\)
0.981663 0.190627i \(-0.0610521\pi\)
\(258\) 1.15172 + 1.99484i 0.0717030 + 0.124193i
\(259\) −3.12938 + 5.42024i −0.194450 + 0.336797i
\(260\) −2.17319 1.82353i −0.134776 0.113090i
\(261\) −9.69856 3.52999i −0.600326 0.218501i
\(262\) 6.12094 2.22784i 0.378153 0.137636i
\(263\) 24.3129 20.4010i 1.49920 1.25798i 0.617126 0.786864i \(-0.288297\pi\)
0.882073 0.471113i \(-0.156148\pi\)
\(264\) 2.14660 + 12.1739i 0.132114 + 0.749255i
\(265\) 2.56159 0.157357
\(266\) 7.21109 + 3.77202i 0.442141 + 0.231278i
\(267\) 3.38069 0.206895
\(268\) 1.38291 + 7.84286i 0.0844746 + 0.479079i
\(269\) −17.8932 + 15.0142i −1.09097 + 0.915431i −0.996785 0.0801240i \(-0.974468\pi\)
−0.0941831 + 0.995555i \(0.530024\pi\)
\(270\) 18.5528 6.75268i 1.12909 0.410955i
\(271\) 20.7560 + 7.55458i 1.26084 + 0.458908i 0.884050 0.467392i \(-0.154806\pi\)
0.376788 + 0.926299i \(0.377028\pi\)
\(272\) 4.58768 + 3.84952i 0.278169 + 0.233411i
\(273\) 9.08077 15.7284i 0.549593 0.951924i
\(274\) 10.1231 + 17.5337i 0.611557 + 1.05925i
\(275\) −0.626017 + 3.55032i −0.0377502 + 0.214092i
\(276\) 3.02943 17.1807i 0.182350 1.03416i
\(277\) 9.90622 + 17.1581i 0.595207 + 1.03093i 0.993518 + 0.113679i \(0.0362634\pi\)
−0.398310 + 0.917251i \(0.630403\pi\)
\(278\) 1.99424 3.45412i 0.119606 0.207164i
\(279\) −34.8771 29.2654i −2.08804 1.75207i
\(280\) 1.75441 + 0.638551i 0.104846 + 0.0381607i
\(281\) 19.8856 7.23776i 1.18627 0.431769i 0.327860 0.944726i \(-0.393672\pi\)
0.858414 + 0.512958i \(0.171450\pi\)
\(282\) 16.6076 13.9355i 0.988971 0.829845i
\(283\) −3.23851 18.3665i −0.192510 1.09178i −0.915921 0.401359i \(-0.868538\pi\)
0.723411 0.690418i \(-0.242573\pi\)
\(284\) −1.92698 −0.114345
\(285\) −14.5986 + 3.20612i −0.864748 + 0.189914i
\(286\) −10.2273 −0.604752
\(287\) −1.20788 6.85023i −0.0712989 0.404356i
\(288\) −6.70890 + 5.62944i −0.395326 + 0.331718i
\(289\) −17.7279 + 6.45241i −1.04282 + 0.379554i
\(290\) 1.10741 + 0.403065i 0.0650295 + 0.0236688i
\(291\) −0.492676 0.413404i −0.0288812 0.0242342i
\(292\) 2.50600 4.34052i 0.146653 0.254010i
\(293\) 14.8653 + 25.7475i 0.868442 + 1.50419i 0.863589 + 0.504197i \(0.168212\pi\)
0.00485332 + 0.999988i \(0.498455\pi\)
\(294\) 2.09254 11.8674i 0.122040 0.692121i
\(295\) −0.827999 + 4.69581i −0.0482079 + 0.273401i
\(296\) 1.67615 + 2.90318i 0.0974244 + 0.168744i
\(297\) 35.5886 61.6412i 2.06506 3.57678i
\(298\) −4.31479 3.62054i −0.249949 0.209732i
\(299\) 13.5630 + 4.93654i 0.784370 + 0.285487i
\(300\) −3.22218 + 1.17278i −0.186033 + 0.0677103i
\(301\) 0.960753 0.806167i 0.0553769 0.0464667i
\(302\) 0.215061 + 1.21967i 0.0123753 + 0.0701841i
\(303\) −6.72182 −0.386159
\(304\) 3.68089 2.33475i 0.211113 0.133907i
\(305\) 8.23638 0.471614
\(306\) −9.10766 51.6521i −0.520650 2.95275i
\(307\) −3.95389 + 3.31770i −0.225660 + 0.189351i −0.748607 0.663014i \(-0.769277\pi\)
0.522947 + 0.852365i \(0.324833\pi\)
\(308\) 6.32479 2.30203i 0.360388 0.131171i
\(309\) −56.4010 20.5283i −3.20854 1.16781i
\(310\) 3.98239 + 3.34162i 0.226184 + 0.189791i
\(311\) 13.0187 22.5490i 0.738223 1.27864i −0.215072 0.976598i \(-0.568999\pi\)
0.953295 0.302041i \(-0.0976680\pi\)
\(312\) −4.86383 8.42440i −0.275360 0.476938i
\(313\) −0.0481224 + 0.272916i −0.00272004 + 0.0154261i −0.986138 0.165930i \(-0.946937\pi\)
0.983418 + 0.181356i \(0.0580486\pi\)
\(314\) 3.73471 21.1806i 0.210762 1.19529i
\(315\) −8.17545 14.1603i −0.460635 0.797842i
\(316\) 0.300593 0.520642i 0.0169097 0.0292884i
\(317\) 19.0958 + 16.0233i 1.07253 + 0.899958i 0.995279 0.0970537i \(-0.0309419\pi\)
0.0772492 + 0.997012i \(0.475386\pi\)
\(318\) 8.25391 + 3.00418i 0.462856 + 0.168466i
\(319\) 3.99232 1.45309i 0.223527 0.0813572i
\(320\) 0.766044 0.642788i 0.0428232 0.0359329i
\(321\) 6.30548 + 35.7602i 0.351938 + 1.99594i
\(322\) −9.49883 −0.529349
\(323\) 1.08702 + 26.0819i 0.0604835 + 1.45123i
\(324\) 41.4264 2.30147
\(325\) −0.492623 2.79380i −0.0273258 0.154972i
\(326\) −13.8049 + 11.5837i −0.764582 + 0.641561i
\(327\) 44.7089 16.2727i 2.47241 0.899882i
\(328\) −3.50103 1.27427i −0.193312 0.0703598i
\(329\) −9.04250 7.58755i −0.498529 0.418315i
\(330\) −6.18087 + 10.7056i −0.340246 + 0.589323i
\(331\) 5.34847 + 9.26381i 0.293978 + 0.509185i 0.974747 0.223313i \(-0.0716873\pi\)
−0.680768 + 0.732499i \(0.738354\pi\)
\(332\) −0.330420 + 1.87391i −0.0181342 + 0.102844i
\(333\) 5.09814 28.9130i 0.279376 1.58442i
\(334\) −5.45442 9.44734i −0.298453 0.516935i
\(335\) −3.98193 + 6.89690i −0.217556 + 0.376818i
\(336\) 4.90413 + 4.11506i 0.267542 + 0.224495i
\(337\) 4.28303 + 1.55890i 0.233312 + 0.0849184i 0.456030 0.889964i \(-0.349271\pi\)
−0.222719 + 0.974883i \(0.571493\pi\)
\(338\) −4.65334 + 1.69368i −0.253108 + 0.0921238i
\(339\) −41.8591 + 35.1239i −2.27347 + 1.90767i
\(340\) 1.03994 + 5.89781i 0.0563988 + 0.319853i
\(341\) 18.7415 1.01491
\(342\) −37.8381 5.05771i −2.04605 0.273490i
\(343\) −19.6302 −1.05993
\(344\) −0.116650 0.661553i −0.00628933 0.0356686i
\(345\) 13.3642 11.2139i 0.719506 0.603737i
\(346\) 0.137103 0.0499015i 0.00737072 0.00268272i
\(347\) −19.6329 7.14578i −1.05395 0.383606i −0.243796 0.969826i \(-0.578393\pi\)
−0.810151 + 0.586221i \(0.800615\pi\)
\(348\) 3.09558 + 2.59750i 0.165940 + 0.139240i
\(349\) 5.64218 9.77255i 0.302019 0.523112i −0.674574 0.738207i \(-0.735673\pi\)
0.976593 + 0.215095i \(0.0690060\pi\)
\(350\) 0.933500 + 1.61687i 0.0498977 + 0.0864253i
\(351\) −9.72611 + 55.1595i −0.519141 + 2.94420i
\(352\) 0.626017 3.55032i 0.0333668 0.189233i
\(353\) 4.10792 + 7.11512i 0.218642 + 0.378700i 0.954393 0.298553i \(-0.0965039\pi\)
−0.735751 + 0.677252i \(0.763171\pi\)
\(354\) −8.17511 + 14.1597i −0.434502 + 0.752580i
\(355\) −1.47615 1.23864i −0.0783459 0.0657400i
\(356\) −0.926460 0.337204i −0.0491023 0.0178718i
\(357\) −36.0274 + 13.1129i −1.90677 + 0.694009i
\(358\) −4.36606 + 3.66356i −0.230753 + 0.193625i
\(359\) −1.86656 10.5858i −0.0985131 0.558696i −0.993614 0.112832i \(-0.964008\pi\)
0.895101 0.445864i \(-0.147103\pi\)
\(360\) −8.75785 −0.461579
\(361\) 18.3330 + 4.99020i 0.964893 + 0.262642i
\(362\) 18.5013 0.972405
\(363\) 1.18888 + 6.74248i 0.0624001 + 0.353889i
\(364\) −4.05735 + 3.40452i −0.212663 + 0.178446i
\(365\) 4.70974 1.71421i 0.246519 0.0897257i
\(366\) 26.5391 + 9.65944i 1.38722 + 0.504907i
\(367\) −11.4507 9.60825i −0.597720 0.501547i 0.292992 0.956115i \(-0.405349\pi\)
−0.890712 + 0.454568i \(0.849794\pi\)
\(368\) −2.54388 + 4.40612i −0.132609 + 0.229685i
\(369\) 16.3146 + 28.2578i 0.849306 + 1.47104i
\(370\) −0.582122 + 3.30138i −0.0302631 + 0.171630i
\(371\) 0.830471 4.70983i 0.0431159 0.244522i
\(372\) 8.91299 + 15.4377i 0.462117 + 0.800410i
\(373\) −4.36113 + 7.55370i −0.225811 + 0.391116i −0.956562 0.291528i \(-0.905836\pi\)
0.730752 + 0.682644i \(0.239170\pi\)
\(374\) 16.5390 + 13.8779i 0.855211 + 0.717607i
\(375\) −3.22218 1.17278i −0.166393 0.0605620i
\(376\) −5.94122 + 2.16243i −0.306395 + 0.111519i
\(377\) −2.56107 + 2.14900i −0.131902 + 0.110679i
\(378\) −6.40087 36.3011i −0.329225 1.86713i
\(379\) 15.9169 0.817597 0.408799 0.912625i \(-0.365948\pi\)
0.408799 + 0.912625i \(0.365948\pi\)
\(380\) 4.32047 + 0.577506i 0.221636 + 0.0296255i
\(381\) −57.6548 −2.95375
\(382\) −3.27883 18.5952i −0.167760 0.951412i
\(383\) −1.33589 + 1.12094i −0.0682607 + 0.0572776i −0.676280 0.736645i \(-0.736409\pi\)
0.608019 + 0.793923i \(0.291964\pi\)
\(384\) 3.22218 1.17278i 0.164431 0.0598481i
\(385\) 6.32479 + 2.30203i 0.322341 + 0.117323i
\(386\) −3.74110 3.13916i −0.190417 0.159779i
\(387\) −2.94158 + 5.09497i −0.149529 + 0.258992i
\(388\) 0.0937807 + 0.162433i 0.00476099 + 0.00824628i
\(389\) 5.63929 31.9820i 0.285924 1.62155i −0.416044 0.909344i \(-0.636584\pi\)
0.701968 0.712209i \(-0.252305\pi\)
\(390\) 1.68919 9.57988i 0.0855355 0.485096i
\(391\) −15.2347 26.3873i −0.770454 1.33447i
\(392\) −1.75716 + 3.04348i −0.0887498 + 0.153719i
\(393\) 17.1100 + 14.3570i 0.863085 + 0.724214i
\(394\) −3.30534 1.20305i −0.166521 0.0606086i
\(395\) 0.564929 0.205617i 0.0284247 0.0103457i
\(396\) −24.1862 + 20.2946i −1.21540 + 1.01984i
\(397\) −0.712877 4.04292i −0.0357783 0.202909i 0.961679 0.274179i \(-0.0884059\pi\)
−0.997457 + 0.0712700i \(0.977295\pi\)
\(398\) 0.840516 0.0421313
\(399\) 1.16200 + 27.8810i 0.0581730 + 1.39580i
\(400\) 1.00000 0.0500000
\(401\) 5.41766 + 30.7251i 0.270545 + 1.53434i 0.752766 + 0.658288i \(0.228719\pi\)
−0.482221 + 0.876049i \(0.660170\pi\)
\(402\) −20.9190 + 17.5531i −1.04335 + 0.875471i
\(403\) −13.8586 + 5.04412i −0.690347 + 0.251266i
\(404\) 1.84208 + 0.670463i 0.0916470 + 0.0333568i
\(405\) 31.7345 + 26.6284i 1.57690 + 1.32317i
\(406\) 1.10011 1.90545i 0.0545978 0.0945661i
\(407\) 6.04268 + 10.4662i 0.299524 + 0.518792i
\(408\) −3.56593 + 20.2234i −0.176540 + 1.00121i
\(409\) 1.52348 8.64010i 0.0753313 0.427225i −0.923696 0.383127i \(-0.874847\pi\)
0.999027 0.0440987i \(-0.0140416\pi\)
\(410\) −1.86286 3.22656i −0.0920000 0.159349i
\(411\) −34.7117 + 60.1225i −1.71220 + 2.96562i
\(412\) 13.4088 + 11.2513i 0.660605 + 0.554314i
\(413\) 8.36545 + 3.04478i 0.411637 + 0.149824i
\(414\) 41.8706 15.2397i 2.05783 0.748988i
\(415\) −1.45764 + 1.22311i −0.0715528 + 0.0600399i
\(416\) 0.492623 + 2.79380i 0.0241528 + 0.136978i
\(417\) 13.6764 0.669734
\(418\) 13.2699 8.41698i 0.649053 0.411688i
\(419\) −6.13252 −0.299593 −0.149797 0.988717i \(-0.547862\pi\)
−0.149797 + 0.988717i \(0.547862\pi\)
\(420\) 1.11168 + 6.30463i 0.0542443 + 0.307634i
\(421\) −2.93864 + 2.46581i −0.143220 + 0.120176i −0.711583 0.702602i \(-0.752021\pi\)
0.568363 + 0.822778i \(0.307577\pi\)
\(422\) −25.7565 + 9.37460i −1.25381 + 0.456348i
\(423\) 52.0324 + 18.9382i 2.52990 + 0.920808i
\(424\) −1.96229 1.64656i −0.0952974 0.0799640i
\(425\) −2.99439 + 5.18644i −0.145249 + 0.251579i
\(426\) −3.30377 5.72230i −0.160068 0.277247i
\(427\) 2.67024 15.1437i 0.129222 0.732855i
\(428\) 1.83888 10.4288i 0.0888858 0.504096i
\(429\) −17.5345 30.3707i −0.846576 1.46631i
\(430\) 0.335879 0.581760i 0.0161975 0.0280550i
\(431\) −19.5996 16.4460i −0.944081 0.792178i 0.0342100 0.999415i \(-0.489108\pi\)
−0.978291 + 0.207237i \(0.933553\pi\)
\(432\) −18.5528 6.75268i −0.892624 0.324888i
\(433\) −26.7471 + 9.73513i −1.28538 + 0.467841i −0.892208 0.451624i \(-0.850845\pi\)
−0.393173 + 0.919464i \(0.628623\pi\)
\(434\) 7.43511 6.23880i 0.356897 0.299472i
\(435\) 0.701710 + 3.97960i 0.0336444 + 0.190807i
\(436\) −13.8754 −0.664509
\(437\) −21.6608 + 4.75710i −1.03618 + 0.227563i
\(438\) 17.1860 0.821180
\(439\) 6.61684 + 37.5260i 0.315805 + 1.79102i 0.567671 + 0.823256i \(0.307845\pi\)
−0.251866 + 0.967762i \(0.581044\pi\)
\(440\) 2.76166 2.31731i 0.131657 0.110473i
\(441\) 28.9217 10.5266i 1.37722 0.501268i
\(442\) −15.9650 5.81079i −0.759379 0.276391i
\(443\) 17.4493 + 14.6417i 0.829042 + 0.695649i 0.955071 0.296377i \(-0.0957786\pi\)
−0.126029 + 0.992027i \(0.540223\pi\)
\(444\) −5.74748 + 9.95493i −0.272763 + 0.472440i
\(445\) −0.492959 0.853830i −0.0233685 0.0404754i
\(446\) 1.98569 11.2614i 0.0940253 0.533244i
\(447\) 3.35382 19.0205i 0.158630 0.899637i
\(448\) −0.933500 1.61687i −0.0441037 0.0763899i
\(449\) 15.5911 27.0045i 0.735787 1.27442i −0.218590 0.975817i \(-0.570146\pi\)
0.954377 0.298604i \(-0.0965211\pi\)
\(450\) −6.70890 5.62944i −0.316261 0.265374i
\(451\) −12.6215 4.59385i −0.594324 0.216316i
\(452\) 14.9747 5.45034i 0.704350 0.256362i
\(453\) −3.25318 + 2.72975i −0.152848 + 0.128255i
\(454\) −2.71158 15.3781i −0.127261 0.721731i
\(455\) −5.29650 −0.248304
\(456\) 13.2441 + 6.92778i 0.620210 + 0.324423i
\(457\) −13.0810 −0.611902 −0.305951 0.952047i \(-0.598974\pi\)
−0.305951 + 0.952047i \(0.598974\pi\)
\(458\) −0.955070 5.41647i −0.0446275 0.253095i
\(459\) 90.5769 76.0030i 4.22777 3.54752i
\(460\) −4.78092 + 1.74011i −0.222912 + 0.0811332i
\(461\) −17.1219 6.23187i −0.797448 0.290247i −0.0890194 0.996030i \(-0.528373\pi\)
−0.708429 + 0.705783i \(0.750596\pi\)
\(462\) 17.6798 + 14.8351i 0.822540 + 0.690193i
\(463\) 11.5040 19.9255i 0.534636 0.926017i −0.464545 0.885550i \(-0.653782\pi\)
0.999181 0.0404670i \(-0.0128846\pi\)
\(464\) −0.589242 1.02060i −0.0273549 0.0473800i
\(465\) −3.09545 + 17.5552i −0.143548 + 0.814101i
\(466\) 1.96719 11.1565i 0.0911284 0.516815i
\(467\) 12.5265 + 21.6966i 0.579658 + 1.00400i 0.995518 + 0.0945691i \(0.0301473\pi\)
−0.415860 + 0.909429i \(0.636519\pi\)
\(468\) 12.4226 21.5166i 0.574234 0.994603i
\(469\) 11.3899 + 9.55729i 0.525938 + 0.441315i
\(470\) −5.94122 2.16243i −0.274048 0.0997454i
\(471\) 69.3005 25.2233i 3.19320 1.16223i
\(472\) 3.65269 3.06497i 0.168129 0.141077i
\(473\) −0.420532 2.38496i −0.0193361 0.109660i
\(474\) 2.06145 0.0946854
\(475\) 2.93846 + 3.21954i 0.134826 + 0.147723i
\(476\) 11.1811 0.512483
\(477\) 3.89563 + 22.0932i 0.178369 + 1.01158i
\(478\) −1.13631 + 0.953473i −0.0519734 + 0.0436108i
\(479\) −20.3567 + 7.40924i −0.930122 + 0.338537i −0.762258 0.647274i \(-0.775909\pi\)
−0.167864 + 0.985810i \(0.553687\pi\)
\(480\) 3.22218 + 1.17278i 0.147072 + 0.0535297i
\(481\) −7.28521 6.11302i −0.332177 0.278730i
\(482\) −4.20957 + 7.29118i −0.191741 + 0.332104i
\(483\) −16.2856 28.2075i −0.741021 1.28349i
\(484\) 0.346717 1.96633i 0.0157598 0.0893785i
\(485\) −0.0325697 + 0.184712i −0.00147891 + 0.00838733i
\(486\) 41.4097 + 71.7238i 1.87838 + 3.25346i
\(487\) 1.66266 2.87982i 0.0753425 0.130497i −0.825893 0.563827i \(-0.809328\pi\)
0.901235 + 0.433330i \(0.142662\pi\)
\(488\) −6.30943 5.29424i −0.285614 0.239659i
\(489\) −58.0669 21.1346i −2.62588 0.955741i
\(490\) −3.30237 + 1.20197i −0.149186 + 0.0542993i
\(491\) −3.86014 + 3.23904i −0.174206 + 0.146176i −0.725722 0.687988i \(-0.758494\pi\)
0.551516 + 0.834164i \(0.314050\pi\)
\(492\) −2.21842 12.5813i −0.100014 0.567208i
\(493\) 7.05769 0.317862
\(494\) −7.54722 + 9.79551i −0.339565 + 0.440721i
\(495\) −31.5728 −1.41909
\(496\) −0.902733 5.11966i −0.0405339 0.229879i
\(497\) −2.75597 + 2.31253i −0.123622 + 0.103731i
\(498\) −6.13121 + 2.23158i −0.274746 + 0.0999995i
\(499\) 9.62114 + 3.50181i 0.430701 + 0.156762i 0.548268 0.836302i \(-0.315287\pi\)
−0.117567 + 0.993065i \(0.537509\pi\)
\(500\) 0.766044 + 0.642788i 0.0342585 + 0.0287463i
\(501\) 18.7031 32.3947i 0.835592 1.44729i
\(502\) 5.54539 + 9.60490i 0.247503 + 0.428688i
\(503\) 1.16399 6.60132i 0.0518998 0.294338i −0.947799 0.318867i \(-0.896698\pi\)
0.999699 + 0.0245291i \(0.00780863\pi\)
\(504\) −2.83930 + 16.1025i −0.126473 + 0.717262i
\(505\) 0.980151 + 1.69767i 0.0436161 + 0.0755454i
\(506\) −9.17090 + 15.8845i −0.407696 + 0.706151i
\(507\) −13.0076 10.9147i −0.577687 0.484737i
\(508\) 15.8000 + 5.75073i 0.701012 + 0.255148i
\(509\) −22.6049 + 8.22751i −1.00195 + 0.364678i −0.790334 0.612676i \(-0.790093\pi\)
−0.211611 + 0.977354i \(0.567871\pi\)
\(510\) −15.7310 + 13.1999i −0.696581 + 0.584501i
\(511\) −1.62490 9.21525i −0.0718812 0.407659i
\(512\) −1.00000 −0.0441942
\(513\) −32.7762 79.5741i −1.44711 3.51328i
\(514\) −11.4846 −0.506564
\(515\) 3.03953 + 17.2381i 0.133938 + 0.759599i
\(516\) 1.76454 1.48062i 0.0776795 0.0651808i
\(517\) −21.4186 + 7.79575i −0.941991 + 0.342857i
\(518\) 5.88130 + 2.14062i 0.258410 + 0.0940534i
\(519\) 0.383248 + 0.321583i 0.0168227 + 0.0141159i
\(520\) −1.41845 + 2.45683i −0.0622032 + 0.107739i
\(521\) −13.2375 22.9280i −0.579945 1.00449i −0.995485 0.0949192i \(-0.969741\pi\)
0.415540 0.909575i \(-0.363593\pi\)
\(522\) −1.79222 + 10.1642i −0.0784434 + 0.444874i
\(523\) −2.71298 + 15.3861i −0.118631 + 0.672787i 0.866258 + 0.499597i \(0.166519\pi\)
−0.984888 + 0.173190i \(0.944593\pi\)
\(524\) −3.25688 5.64108i −0.142278 0.246432i
\(525\) −3.20094 + 5.54420i −0.139701 + 0.241969i
\(526\) −24.3129 20.4010i −1.06009 0.889524i
\(527\) 29.2559 + 10.6483i 1.27441 + 0.463847i
\(528\) 11.6162 4.22797i 0.505532 0.183999i
\(529\) 2.21022 1.85459i 0.0960963 0.0806344i
\(530\) −0.444816 2.52268i −0.0193216 0.109578i
\(531\) −41.7597 −1.81222
\(532\) 2.46253 7.75655i 0.106764 0.336289i
\(533\) 10.5695 0.457816
\(534\) −0.587050 3.32933i −0.0254041 0.144074i
\(535\) 8.11219 6.80693i 0.350720 0.294289i
\(536\) 7.48357 2.72380i 0.323241 0.117650i
\(537\) −18.3648 6.68423i −0.792498 0.288446i
\(538\) 17.8932 + 15.0142i 0.771431 + 0.647307i
\(539\) −6.33470 + 10.9720i −0.272855 + 0.472599i
\(540\) −9.87176 17.0984i −0.424813 0.735797i
\(541\) −2.57421 + 14.5991i −0.110674 + 0.627664i 0.878127 + 0.478427i \(0.158793\pi\)
−0.988801 + 0.149237i \(0.952318\pi\)
\(542\) 3.83556 21.7525i 0.164751 0.934351i
\(543\) 31.7202 + 54.9409i 1.36124 + 2.35774i
\(544\) 2.99439 5.18644i 0.128384 0.222367i
\(545\) −10.6291 8.91890i −0.455302 0.382044i
\(546\) −17.0663 6.21161i −0.730369 0.265833i
\(547\) 18.2130 6.62897i 0.778730 0.283434i 0.0780869 0.996947i \(-0.475119\pi\)
0.700643 + 0.713512i \(0.252897\pi\)
\(548\) 15.5095 13.0140i 0.662531 0.555929i
\(549\) 12.5258 + 71.0371i 0.534586 + 3.03179i
\(550\) 3.60509 0.153721
\(551\) 1.55439 4.89607i 0.0662193 0.208580i
\(552\) −17.4458 −0.742541
\(553\) −0.194905 1.10536i −0.00828820 0.0470047i
\(554\) 15.1772 12.7352i 0.644818 0.541067i
\(555\) −10.8017 + 3.93151i −0.458508 + 0.166883i
\(556\) −3.74794 1.36414i −0.158948 0.0578523i
\(557\) −29.2047 24.5056i −1.23744 1.03834i −0.997720 0.0674946i \(-0.978499\pi\)
−0.239721 0.970842i \(-0.577056\pi\)
\(558\) −22.7644 + 39.4292i −0.963695 + 1.66917i
\(559\) 0.952858 + 1.65040i 0.0403016 + 0.0698044i
\(560\) 0.324201 1.83864i 0.0137000 0.0776965i
\(561\) −12.8555 + 72.9072i −0.542760 + 3.07814i
\(562\) −10.5809 18.3267i −0.446328 0.773063i
\(563\) −6.16458 + 10.6774i −0.259806 + 0.449998i −0.966190 0.257832i \(-0.916992\pi\)
0.706384 + 0.707829i \(0.250325\pi\)
\(564\) −16.6076 13.9355i −0.699308 0.586789i
\(565\) 14.9747 + 5.45034i 0.629990 + 0.229297i
\(566\) −17.5251 + 6.37863i −0.736636 + 0.268114i
\(567\) 59.2482 49.7152i 2.48819 2.08784i
\(568\) 0.334616 + 1.89770i 0.0140402 + 0.0796258i
\(569\) −3.18778 −0.133639 −0.0668194 0.997765i \(-0.521285\pi\)
−0.0668194 + 0.997765i \(0.521285\pi\)
\(570\) 5.69244 + 13.8201i 0.238430 + 0.578860i
\(571\) 3.67370 0.153740 0.0768698 0.997041i \(-0.475507\pi\)
0.0768698 + 0.997041i \(0.475507\pi\)
\(572\) 1.77595 + 10.0719i 0.0742562 + 0.421128i
\(573\) 49.5983 41.6179i 2.07200 1.73861i
\(574\) −6.53641 + 2.37906i −0.272825 + 0.0993001i
\(575\) −4.78092 1.74011i −0.199378 0.0725678i
\(576\) 6.70890 + 5.62944i 0.279538 + 0.234560i
\(577\) 1.07552 1.86286i 0.0447746 0.0775519i −0.842770 0.538274i \(-0.819076\pi\)
0.887544 + 0.460723i \(0.152410\pi\)
\(578\) 9.43280 + 16.3381i 0.392353 + 0.679575i
\(579\) 2.90790 16.4915i 0.120848 0.685364i
\(580\) 0.204642 1.16058i 0.00849728 0.0481905i
\(581\) 1.77628 + 3.07660i 0.0736924 + 0.127639i
\(582\) −0.321571 + 0.556978i −0.0133296 + 0.0230875i
\(583\) −7.07424 5.93599i −0.292985 0.245844i
\(584\) −4.70974 1.71421i −0.194891 0.0709344i
\(585\) 23.3468 8.49755i 0.965273 0.351331i
\(586\) 22.7750 19.1105i 0.940827 0.789447i
\(587\) −4.95317 28.0908i −0.204439 1.15943i −0.898320 0.439342i \(-0.855212\pi\)
0.693880 0.720090i \(-0.255900\pi\)
\(588\) −12.0505 −0.496953
\(589\) 13.8303 17.9503i 0.569868 0.739629i
\(590\) 4.76825 0.196306
\(591\) −2.09442 11.8781i −0.0861531 0.488599i
\(592\) 2.56801 2.15482i 0.105545 0.0885626i
\(593\) −9.48294 + 3.45151i −0.389418 + 0.141737i −0.529306 0.848431i \(-0.677548\pi\)
0.139889 + 0.990167i \(0.455326\pi\)
\(594\) −66.8846 24.3440i −2.74431 0.998847i
\(595\) 8.56519 + 7.18705i 0.351139 + 0.294640i
\(596\) −2.81628 + 4.87794i −0.115359 + 0.199808i
\(597\) 1.44105 + 2.49598i 0.0589784 + 0.102154i
\(598\) 2.50635 14.2142i 0.102492 0.581261i
\(599\) 0.479831 2.72126i 0.0196054 0.111188i −0.973435 0.228965i \(-0.926466\pi\)
0.993040 + 0.117778i \(0.0375770\pi\)
\(600\) 1.71449 + 2.96958i 0.0699936 + 0.121232i
\(601\) −8.51074 + 14.7410i −0.347160 + 0.601299i −0.985744 0.168253i \(-0.946187\pi\)
0.638583 + 0.769553i \(0.279521\pi\)
\(602\) −0.960753 0.806167i −0.0391574 0.0328569i
\(603\) −65.5400 23.8546i −2.66900 0.971435i
\(604\) 1.16380 0.423587i 0.0473542 0.0172355i
\(605\) 1.52953 1.28343i 0.0621843 0.0521788i
\(606\) 1.16723 + 6.61970i 0.0474156 + 0.268907i
\(607\) −45.0807 −1.82977 −0.914884 0.403717i \(-0.867718\pi\)
−0.914884 + 0.403717i \(0.867718\pi\)
\(608\) −2.93846 3.21954i −0.119170 0.130570i
\(609\) 7.54452 0.305720
\(610\) −1.43023 8.11125i −0.0579084 0.328415i
\(611\) 13.7401 11.5293i 0.555863 0.466425i
\(612\) −49.2859 + 17.9386i −1.99226 + 0.725124i
\(613\) 1.15435 + 0.420147i 0.0466236 + 0.0169696i 0.365227 0.930919i \(-0.380991\pi\)
−0.318603 + 0.947888i \(0.603214\pi\)
\(614\) 3.95389 + 3.31770i 0.159566 + 0.133892i
\(615\) 6.38769 11.0638i 0.257576 0.446135i
\(616\) −3.36535 5.82896i −0.135594 0.234855i
\(617\) 4.11879 23.3588i 0.165816 0.940392i −0.782402 0.622773i \(-0.786006\pi\)
0.948219 0.317618i \(-0.102883\pi\)
\(618\) −10.4225 + 59.1088i −0.419254 + 2.37771i
\(619\) −6.32545 10.9560i −0.254241 0.440359i 0.710448 0.703750i \(-0.248492\pi\)
−0.964689 + 0.263391i \(0.915159\pi\)
\(620\) 2.59932 4.50215i 0.104391 0.180811i
\(621\) 76.9493 + 64.5681i 3.08787 + 2.59103i
\(622\) −24.4672 8.90531i −0.981043 0.357071i
\(623\) −1.72970 + 0.629559i −0.0692990 + 0.0252228i
\(624\) −7.45182 + 6.25282i −0.298312 + 0.250313i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) 0.277126 0.0110762
\(627\) 47.7460 + 24.9753i 1.90679 + 0.997416i
\(628\) −21.5073 −0.858235
\(629\) 3.48620 + 19.7712i 0.139004 + 0.788331i
\(630\) −12.5255 + 10.5102i −0.499029 + 0.418735i
\(631\) −35.9350 + 13.0793i −1.43055 + 0.520677i −0.937089 0.349091i \(-0.886490\pi\)
−0.493460 + 0.869769i \(0.664268\pi\)
\(632\) −0.564929 0.205617i −0.0224717 0.00817902i
\(633\) −71.9978 60.4133i −2.86165 2.40121i
\(634\) 12.4639 21.5881i 0.495005 0.857374i
\(635\) 8.40701 + 14.5614i 0.333622 + 0.577850i
\(636\) 1.52526 8.65019i 0.0604805 0.343002i
\(637\) 1.73123 9.81830i 0.0685939 0.389015i
\(638\) −2.12427 3.67934i −0.0841006 0.145667i
\(639\) 8.43809 14.6152i 0.333806 0.578168i
\(640\) −0.766044 0.642788i −0.0302806 0.0254084i
\(641\) −9.64318 3.50983i −0.380883 0.138630i 0.144481 0.989508i \(-0.453849\pi\)
−0.525364 + 0.850878i \(0.676071\pi\)
\(642\) 34.1219 12.4194i 1.34669 0.490154i
\(643\) −11.1597 + 9.36407i −0.440094 + 0.369283i −0.835745 0.549118i \(-0.814964\pi\)
0.395650 + 0.918401i \(0.370519\pi\)
\(644\) 1.64946 + 9.35452i 0.0649976 + 0.368620i
\(645\) 2.30344 0.0906980
\(646\) 25.4969 5.59958i 1.00316 0.220313i
\(647\) 4.44223 0.174642 0.0873211 0.996180i \(-0.472169\pi\)
0.0873211 + 0.996180i \(0.472169\pi\)
\(648\) −7.19362 40.7970i −0.282592 1.60266i
\(649\) 13.1683 11.0495i 0.516900 0.433731i
\(650\) −2.66582 + 0.970278i −0.104562 + 0.0380574i
\(651\) 31.2740 + 11.3828i 1.22572 + 0.446127i
\(652\) 13.8049 + 11.5837i 0.540641 + 0.453652i
\(653\) −9.72417 + 16.8427i −0.380536 + 0.659108i −0.991139 0.132829i \(-0.957594\pi\)
0.610603 + 0.791937i \(0.290927\pi\)
\(654\) −23.7891 41.2039i −0.930227 1.61120i
\(655\) 1.13110 6.41481i 0.0441959 0.250647i
\(656\) −0.646964 + 3.66911i −0.0252597 + 0.143255i
\(657\) 21.9472 + 38.0137i 0.856242 + 1.48305i
\(658\) −5.90207 + 10.2227i −0.230087 + 0.398522i
\(659\) 9.54535 + 8.00950i 0.371834 + 0.312006i 0.809487 0.587138i \(-0.199746\pi\)
−0.437652 + 0.899144i \(0.644190\pi\)
\(660\) 11.6162 + 4.22797i 0.452162 + 0.164573i
\(661\) −7.75350 + 2.82204i −0.301576 + 0.109765i −0.488376 0.872633i \(-0.662411\pi\)
0.186800 + 0.982398i \(0.440188\pi\)
\(662\) 8.19432 6.87585i 0.318481 0.267238i
\(663\) −10.1162 57.3719i −0.392881 2.22814i
\(664\) 1.90282 0.0738436
\(665\) 6.87222 4.35898i 0.266493 0.169034i
\(666\) −29.3590 −1.13764
\(667\) 1.04117 + 5.90475i 0.0403141 + 0.228633i
\(668\) −8.35666 + 7.01207i −0.323329 + 0.271305i
\(669\) 36.8461 13.4109i 1.42455 0.518495i
\(670\) 7.48357 + 2.72380i 0.289116 + 0.105229i
\(671\) −22.7461 19.0862i −0.878102 0.736815i
\(672\) 3.20094 5.54420i 0.123479 0.213872i
\(673\) 0.616571 + 1.06793i 0.0237671 + 0.0411658i 0.877664 0.479276i \(-0.159101\pi\)
−0.853897 + 0.520442i \(0.825767\pi\)
\(674\) 0.791472 4.48866i 0.0304864 0.172897i
\(675\) 3.42843 19.4436i 0.131960 0.748383i
\(676\) 2.47599 + 4.28854i 0.0952303 + 0.164944i
\(677\) 8.92630 15.4608i 0.343065 0.594207i −0.641935 0.766759i \(-0.721868\pi\)
0.985000 + 0.172552i \(0.0552014\pi\)
\(678\) 41.8591 + 35.1239i 1.60759 + 1.34893i
\(679\) 0.329059 + 0.119768i 0.0126281 + 0.00459626i
\(680\) 5.62762 2.04829i 0.215809 0.0785482i
\(681\) 41.0176 34.4178i 1.57180 1.31889i
\(682\) −3.25443 18.4568i −0.124619 0.706748i
\(683\) 27.7712 1.06264 0.531318 0.847173i \(-0.321697\pi\)
0.531318 + 0.847173i \(0.321697\pi\)
\(684\) 1.58963 + 38.1415i 0.0607812 + 1.45838i
\(685\) 20.2461 0.773566
\(686\) 3.40875 + 19.3320i 0.130147 + 0.738099i
\(687\) 14.4472 12.1226i 0.551194 0.462507i
\(688\) −0.631247 + 0.229755i −0.0240661 + 0.00875933i
\(689\) 6.82874 + 2.48546i 0.260154 + 0.0946884i
\(690\) −13.3642 11.2139i −0.508768 0.426907i
\(691\) −21.3398 + 36.9617i −0.811805 + 1.40609i 0.0997945 + 0.995008i \(0.468181\pi\)
−0.911600 + 0.411079i \(0.865152\pi\)
\(692\) −0.0729511 0.126355i −0.00277319 0.00480330i
\(693\) −10.2359 + 58.0509i −0.388831 + 2.20517i
\(694\) −3.62801 + 20.5755i −0.137717 + 0.781033i
\(695\) −1.99424 3.45412i −0.0756456 0.131022i
\(696\) 2.02049 3.49960i 0.0765866 0.132652i
\(697\) −17.0924 14.3422i −0.647420 0.543250i
\(698\) −10.6038 3.85948i −0.401361 0.146083i
\(699\) 36.5028 13.2859i 1.38066 0.502520i
\(700\) 1.43020 1.20008i 0.0540567 0.0453589i
\(701\) −6.91944 39.2421i −0.261344 1.48215i −0.779249 0.626715i \(-0.784399\pi\)
0.517905 0.855438i \(-0.326712\pi\)
\(702\) 56.0104 2.11398
\(703\) 14.4835 + 1.93598i 0.546257 + 0.0730168i
\(704\) −3.60509 −0.135872
\(705\) −3.76465 21.3504i −0.141785 0.804102i
\(706\) 6.29370 5.28104i 0.236866 0.198754i
\(707\) 3.43916 1.25175i 0.129343 0.0470770i
\(708\) 15.3642 + 5.59210i 0.577421 + 0.210164i
\(709\) 36.8093 + 30.8866i 1.38240 + 1.15997i 0.968314 + 0.249734i \(0.0803433\pi\)
0.414086 + 0.910238i \(0.364101\pi\)
\(710\) −0.963488 + 1.66881i −0.0361591 + 0.0626293i
\(711\) 2.63255 + 4.55970i 0.0987282 + 0.171002i
\(712\) −0.171203 + 0.970940i −0.00641610 + 0.0363875i
\(713\) −4.59288 + 26.0475i −0.172005 + 0.975488i
\(714\) 19.1698 + 33.2030i 0.717411 + 1.24259i
\(715\) −5.11364 + 8.85709i −0.191239 + 0.331236i
\(716\) 4.36606 + 3.66356i 0.163167 + 0.136914i
\(717\) −4.77959 1.73963i −0.178497 0.0649676i
\(718\) −10.1008 + 3.67640i −0.376960 + 0.137202i
\(719\) −23.2680 + 19.5242i −0.867749 + 0.728128i −0.963623 0.267266i \(-0.913880\pi\)
0.0958738 + 0.995393i \(0.469435\pi\)
\(720\) 1.52078 + 8.62480i 0.0566763 + 0.321427i
\(721\) 32.6799 1.21706
\(722\) 1.73090 18.9210i 0.0644175 0.704166i
\(723\) −28.8690 −1.07365
\(724\) −3.21271 18.2202i −0.119399 0.677148i
\(725\) 0.902771 0.757515i 0.0335281 0.0281334i
\(726\) 6.43360 2.34164i 0.238773 0.0869064i
\(727\) 28.7236 + 10.4545i 1.06530 + 0.387737i 0.814417 0.580280i \(-0.197057\pi\)
0.250883 + 0.968018i \(0.419279\pi\)
\(728\) 4.05735 + 3.40452i 0.150376 + 0.126180i
\(729\) −79.8532 + 138.310i −2.95753 + 5.12259i
\(730\) −2.50600 4.34052i −0.0927513 0.160650i
\(731\) 0.698590 3.96190i 0.0258383 0.146536i
\(732\) 4.90422 27.8132i 0.181265 1.02801i
\(733\) 21.9999 + 38.1050i 0.812586 + 1.40744i 0.911049 + 0.412299i \(0.135274\pi\)
−0.0984629 + 0.995141i \(0.531393\pi\)
\(734\) −7.47389 + 12.9452i −0.275866 + 0.477815i
\(735\) −9.23120 7.74590i −0.340498 0.285712i
\(736\) 4.78092 + 1.74011i 0.176227 + 0.0641415i
\(737\) 26.9789 9.81953i 0.993782 0.361707i
\(738\) 24.9955 20.9737i 0.920096 0.772052i
\(739\) 5.08815 + 28.8563i 0.187171 + 1.06150i 0.923135 + 0.384476i \(0.125618\pi\)
−0.735964 + 0.677020i \(0.763271\pi\)
\(740\) 3.35231 0.123233
\(741\) −42.0281 5.61779i −1.54394 0.206375i
\(742\) −4.78249 −0.175571
\(743\) 2.27875 + 12.9235i 0.0835994 + 0.474116i 0.997650 + 0.0685156i \(0.0218263\pi\)
−0.914051 + 0.405600i \(0.867063\pi\)
\(744\) 13.6555 11.4583i 0.500635 0.420082i
\(745\) −5.29287 + 1.92645i −0.193916 + 0.0705796i
\(746\) 8.19625 + 2.98319i 0.300086 + 0.109222i
\(747\) −12.7658 10.7118i −0.467076 0.391924i
\(748\) 10.7951 18.6976i 0.394706 0.683651i
\(749\) −9.88549 17.1222i −0.361208 0.625631i
\(750\) −0.595435 + 3.37688i −0.0217422 + 0.123306i
\(751\) 3.47466 19.7058i 0.126792 0.719074i −0.853435 0.521199i \(-0.825485\pi\)
0.980227 0.197875i \(-0.0634040\pi\)
\(752\) 3.16126 + 5.47546i 0.115279 + 0.199670i
\(753\) −19.0150 + 32.9349i −0.692945 + 1.20022i
\(754\) 2.56107 + 2.14900i 0.0932688 + 0.0782618i
\(755\) 1.16380 + 0.423587i 0.0423548 + 0.0154159i
\(756\) −34.6381 + 12.6072i −1.25978 + 0.458521i
\(757\) −27.9516 + 23.4542i −1.01592 + 0.852458i −0.989109 0.147183i \(-0.952979\pi\)
−0.0268104 + 0.999641i \(0.508535\pi\)
\(758\) −2.76394 15.6751i −0.100391 0.569345i
\(759\) −62.8935 −2.28289
\(760\) −0.181510 4.35512i −0.00658404 0.157977i
\(761\) 3.91470 0.141908 0.0709540 0.997480i \(-0.477396\pi\)
0.0709540 + 0.997480i \(0.477396\pi\)
\(762\) 10.0117 + 56.7789i 0.362684 + 2.05688i
\(763\) −19.8446 + 16.6516i −0.718422 + 0.602828i
\(764\) −17.7433 + 6.45804i −0.641931 + 0.233644i
\(765\) −49.2859 17.9386i −1.78193 0.648571i
\(766\) 1.33589 + 1.12094i 0.0482676 + 0.0405013i
\(767\) −6.76354 + 11.7148i −0.244217 + 0.422997i
\(768\) −1.71449 2.96958i −0.0618662 0.107155i
\(769\) −3.94857 + 22.3935i −0.142389 + 0.807530i 0.827037 + 0.562147i \(0.190025\pi\)
−0.969426 + 0.245382i \(0.921087\pi\)
\(770\) 1.16877 6.62844i 0.0421197 0.238873i
\(771\) −19.6902 34.1044i −0.709125 1.22824i
\(772\) −2.44183 + 4.22937i −0.0878834 + 0.152218i