Properties

Label 475.2.bc.a.6.2
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.2
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.29691 - 1.43527i) q^{2} +(-2.18186 + 0.625639i) q^{3} +(2.33907 + 4.79580i) q^{4} +(1.19746 + 1.88841i) q^{5} +(5.90951 + 1.69453i) q^{6} +(0.140645 - 0.243604i) q^{7} +(0.944410 - 8.98546i) q^{8} +(1.82496 - 1.14036i) q^{9} +O(q^{10})\) \(q+(-2.29691 - 1.43527i) q^{2} +(-2.18186 + 0.625639i) q^{3} +(2.33907 + 4.79580i) q^{4} +(1.19746 + 1.88841i) q^{5} +(5.90951 + 1.69453i) q^{6} +(0.140645 - 0.243604i) q^{7} +(0.944410 - 8.98546i) q^{8} +(1.82496 - 1.14036i) q^{9} +(-0.0400903 - 6.05619i) q^{10} +(2.37271 - 2.63516i) q^{11} +(-8.10397 - 9.00037i) q^{12} +(0.0497317 + 1.42413i) q^{13} +(-0.672688 + 0.357674i) q^{14} +(-3.79416 - 3.37107i) q^{15} +(-8.49569 + 10.8740i) q^{16} +(-2.57858 + 0.180312i) q^{17} -5.82850 q^{18} +(4.29120 + 0.765232i) q^{19} +(-6.25548 + 10.1599i) q^{20} +(-0.154460 + 0.619505i) q^{21} +(-9.23208 + 2.64726i) q^{22} +(6.72332 - 0.944901i) q^{23} +(3.56108 + 20.1959i) q^{24} +(-2.13217 + 4.52259i) q^{25} +(1.92978 - 3.34248i) q^{26} +(1.28800 - 1.43047i) q^{27} +(1.49726 + 0.104698i) q^{28} +(-3.22577 - 0.225568i) q^{29} +(3.87646 + 13.1887i) q^{30} +(-5.63863 + 2.51048i) q^{31} +(18.1408 - 6.60272i) q^{32} +(-3.52827 + 7.23403i) q^{33} +(6.18157 + 3.28680i) q^{34} +(0.628441 - 0.0261118i) q^{35} +(9.73765 + 6.08476i) q^{36} +(0.698388 - 2.14942i) q^{37} +(-8.75821 - 7.91671i) q^{38} +(-0.999500 - 3.07615i) q^{39} +(18.0991 - 8.97632i) q^{40} +(6.29873 - 8.06201i) q^{41} +(1.24394 - 1.20126i) q^{42} +(0.849231 + 4.81623i) q^{43} +(18.1876 + 5.21522i) q^{44} +(4.33879 + 2.08073i) q^{45} +(-16.7991 - 7.47943i) q^{46} +(-4.27564 - 0.298982i) q^{47} +(11.7332 - 29.0408i) q^{48} +(3.46044 + 5.99365i) q^{49} +(11.3886 - 7.32777i) q^{50} +(5.51330 - 2.00668i) q^{51} +(-6.71352 + 3.56964i) q^{52} +(5.08908 + 10.4342i) q^{53} +(-5.01154 + 1.43704i) q^{54} +(7.81749 + 1.32514i) q^{55} +(-2.05607 - 1.49382i) q^{56} +(-9.84158 + 1.01511i) q^{57} +(7.08556 + 5.14796i) q^{58} +(2.94730 + 7.29481i) q^{59} +(7.29217 - 26.0812i) q^{60} +(-3.95603 + 0.555984i) q^{61} +(16.5547 + 2.32661i) q^{62} +(-0.0211255 - 0.604954i) q^{63} +(-24.1491 - 5.13305i) q^{64} +(-2.62979 + 1.79926i) q^{65} +(18.4869 - 11.5519i) q^{66} +(2.83319 + 11.3633i) q^{67} +(-6.89621 - 11.9446i) q^{68} +(-14.0782 + 6.26802i) q^{69} +(-1.48095 - 0.842007i) q^{70} +(5.75951 + 5.56190i) q^{71} +(-8.52317 - 17.4751i) q^{72} +(-0.112245 + 3.21429i) q^{73} +(-4.68913 + 3.93465i) q^{74} +(1.82259 - 11.2017i) q^{75} +(6.36751 + 22.3697i) q^{76} +(-0.308227 - 0.948625i) q^{77} +(-2.11934 + 8.50019i) q^{78} +(2.62718 - 0.753332i) q^{79} +(-30.7078 - 3.02214i) q^{80} +(-4.74535 + 9.72941i) q^{81} +(-26.0388 + 9.47735i) q^{82} +(13.4729 - 5.99851i) q^{83} +(-3.33231 + 0.708305i) q^{84} +(-3.42825 - 4.65349i) q^{85} +(4.96198 - 12.2813i) q^{86} +(7.17930 - 1.52601i) q^{87} +(-21.4373 - 23.8086i) q^{88} +(-9.61713 - 12.3094i) q^{89} +(-6.97941 - 11.0066i) q^{90} +(0.353919 + 0.188182i) q^{91} +(20.2578 + 30.0335i) q^{92} +(10.7321 - 9.00527i) q^{93} +(9.39166 + 6.82344i) q^{94} +(3.69348 + 9.01988i) q^{95} +(-35.4499 + 25.7558i) q^{96} +(-3.87194 + 15.5295i) q^{97} +(0.654191 - 18.7336i) q^{98} +(1.32506 - 7.51481i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.29691 1.43527i −1.62416 1.01489i −0.964771 0.263091i \(-0.915258\pi\)
−0.659392 0.751799i \(-0.729186\pi\)
\(3\) −2.18186 + 0.625639i −1.25970 + 0.361213i −0.838074 0.545557i \(-0.816318\pi\)
−0.421626 + 0.906770i \(0.638540\pi\)
\(4\) 2.33907 + 4.79580i 1.16953 + 2.39790i
\(5\) 1.19746 + 1.88841i 0.535521 + 0.844522i
\(6\) 5.90951 + 1.69453i 2.41255 + 0.691787i
\(7\) 0.140645 0.243604i 0.0531588 0.0920738i −0.838221 0.545330i \(-0.816404\pi\)
0.891380 + 0.453256i \(0.149738\pi\)
\(8\) 0.944410 8.98546i 0.333899 3.17684i
\(9\) 1.82496 1.14036i 0.608320 0.380120i
\(10\) −0.0400903 6.05619i −0.0126777 1.91514i
\(11\) 2.37271 2.63516i 0.715399 0.794531i −0.270348 0.962763i \(-0.587139\pi\)
0.985748 + 0.168231i \(0.0538055\pi\)
\(12\) −8.10397 9.00037i −2.33941 2.59818i
\(13\) 0.0497317 + 1.42413i 0.0137931 + 0.394983i 0.986580 + 0.163280i \(0.0522074\pi\)
−0.972787 + 0.231703i \(0.925570\pi\)
\(14\) −0.672688 + 0.357674i −0.179783 + 0.0955925i
\(15\) −3.79416 3.37107i −0.979648 0.870406i
\(16\) −8.49569 + 10.8740i −2.12392 + 2.71850i
\(17\) −2.57858 + 0.180312i −0.625397 + 0.0437320i −0.378940 0.925421i \(-0.623711\pi\)
−0.246458 + 0.969153i \(0.579267\pi\)
\(18\) −5.82850 −1.37379
\(19\) 4.29120 + 0.765232i 0.984469 + 0.175556i
\(20\) −6.25548 + 10.1599i −1.39877 + 2.27182i
\(21\) −0.154460 + 0.619505i −0.0337059 + 0.135187i
\(22\) −9.23208 + 2.64726i −1.96829 + 0.564397i
\(23\) 6.72332 0.944901i 1.40191 0.197025i 0.602647 0.798008i \(-0.294113\pi\)
0.799262 + 0.600983i \(0.205224\pi\)
\(24\) 3.56108 + 20.1959i 0.726903 + 4.12247i
\(25\) −2.13217 + 4.52259i −0.426434 + 0.904519i
\(26\) 1.92978 3.34248i 0.378462 0.655515i
\(27\) 1.28800 1.43047i 0.247876 0.275294i
\(28\) 1.49726 + 0.104698i 0.282955 + 0.0197861i
\(29\) −3.22577 0.225568i −0.599010 0.0418868i −0.232967 0.972485i \(-0.574843\pi\)
−0.366043 + 0.930598i \(0.619288\pi\)
\(30\) 3.87646 + 13.1887i 0.707742 + 2.40792i
\(31\) −5.63863 + 2.51048i −1.01273 + 0.450895i −0.844902 0.534921i \(-0.820341\pi\)
−0.167825 + 0.985817i \(0.553675\pi\)
\(32\) 18.1408 6.60272i 3.20688 1.16721i
\(33\) −3.52827 + 7.23403i −0.614193 + 1.25928i
\(34\) 6.18157 + 3.28680i 1.06013 + 0.563682i
\(35\) 0.628441 0.0261118i 0.106226 0.00441370i
\(36\) 9.73765 + 6.08476i 1.62294 + 1.01413i
\(37\) 0.698388 2.14942i 0.114814 0.353362i −0.877094 0.480319i \(-0.840521\pi\)
0.991908 + 0.126957i \(0.0405210\pi\)
\(38\) −8.75821 7.91671i −1.42077 1.28426i
\(39\) −0.999500 3.07615i −0.160048 0.492577i
\(40\) 18.0991 8.97632i 2.86172 1.41928i
\(41\) 6.29873 8.06201i 0.983697 1.25907i 0.0178820 0.999840i \(-0.494308\pi\)
0.965815 0.259234i \(-0.0834701\pi\)
\(42\) 1.24394 1.20126i 0.191944 0.185358i
\(43\) 0.849231 + 4.81623i 0.129506 + 0.734468i 0.978529 + 0.206111i \(0.0660806\pi\)
−0.849022 + 0.528357i \(0.822808\pi\)
\(44\) 18.1876 + 5.21522i 2.74189 + 0.786224i
\(45\) 4.33879 + 2.08073i 0.646788 + 0.310177i
\(46\) −16.7991 7.47943i −2.47689 1.10278i
\(47\) −4.27564 0.298982i −0.623667 0.0436110i −0.245573 0.969378i \(-0.578976\pi\)
−0.378094 + 0.925767i \(0.623420\pi\)
\(48\) 11.7332 29.0408i 1.69355 4.19168i
\(49\) 3.46044 + 5.99365i 0.494348 + 0.856236i
\(50\) 11.3886 7.32777i 1.61058 1.03630i
\(51\) 5.51330 2.00668i 0.772016 0.280991i
\(52\) −6.71352 + 3.56964i −0.930998 + 0.495020i
\(53\) 5.08908 + 10.4342i 0.699039 + 1.43324i 0.892000 + 0.452036i \(0.149302\pi\)
−0.192961 + 0.981206i \(0.561809\pi\)
\(54\) −5.01154 + 1.43704i −0.681985 + 0.195556i
\(55\) 7.81749 + 1.32514i 1.05411 + 0.178682i
\(56\) −2.05607 1.49382i −0.274754 0.199621i
\(57\) −9.84158 + 1.01511i −1.30355 + 0.134455i
\(58\) 7.08556 + 5.14796i 0.930379 + 0.675960i
\(59\) 2.94730 + 7.29481i 0.383705 + 0.949704i 0.988210 + 0.153103i \(0.0489265\pi\)
−0.604505 + 0.796601i \(0.706629\pi\)
\(60\) 7.29217 26.0812i 0.941415 3.36707i
\(61\) −3.95603 + 0.555984i −0.506518 + 0.0711865i −0.387804 0.921742i \(-0.626766\pi\)
−0.118714 + 0.992928i \(0.537877\pi\)
\(62\) 16.5547 + 2.32661i 2.10244 + 0.295479i
\(63\) −0.0211255 0.604954i −0.00266156 0.0762171i
\(64\) −24.1491 5.13305i −3.01864 0.641632i
\(65\) −2.62979 + 1.79926i −0.326185 + 0.223170i
\(66\) 18.4869 11.5519i 2.27558 1.42194i
\(67\) 2.83319 + 11.3633i 0.346129 + 1.38825i 0.851051 + 0.525083i \(0.175966\pi\)
−0.504922 + 0.863165i \(0.668479\pi\)
\(68\) −6.89621 11.9446i −0.836288 1.44849i
\(69\) −14.0782 + 6.26802i −1.69482 + 0.754580i
\(70\) −1.48095 0.842007i −0.177008 0.100639i
\(71\) 5.75951 + 5.56190i 0.683528 + 0.660076i 0.953013 0.302929i \(-0.0979645\pi\)
−0.269485 + 0.963005i \(0.586853\pi\)
\(72\) −8.52317 17.4751i −1.00446 2.05946i
\(73\) −0.112245 + 3.21429i −0.0131373 + 0.376204i 0.974961 + 0.222378i \(0.0713818\pi\)
−0.988098 + 0.153826i \(0.950840\pi\)
\(74\) −4.68913 + 3.93465i −0.545100 + 0.457394i
\(75\) 1.82259 11.2017i 0.210454 1.29346i
\(76\) 6.36751 + 22.3697i 0.730404 + 2.56598i
\(77\) −0.308227 0.948625i −0.0351257 0.108106i
\(78\) −2.11934 + 8.50019i −0.239968 + 0.962457i
\(79\) 2.62718 0.753332i 0.295581 0.0847564i −0.124570 0.992211i \(-0.539755\pi\)
0.420151 + 0.907454i \(0.361977\pi\)
\(80\) −30.7078 3.02214i −3.43324 0.337886i
\(81\) −4.74535 + 9.72941i −0.527261 + 1.08105i
\(82\) −26.0388 + 9.47735i −2.87551 + 1.04660i
\(83\) 13.4729 5.99851i 1.47884 0.658422i 0.500558 0.865703i \(-0.333128\pi\)
0.978281 + 0.207282i \(0.0664616\pi\)
\(84\) −3.33231 + 0.708305i −0.363585 + 0.0772824i
\(85\) −3.42825 4.65349i −0.371846 0.504742i
\(86\) 4.96198 12.2813i 0.535064 1.32433i
\(87\) 7.17930 1.52601i 0.769702 0.163605i
\(88\) −21.4373 23.8086i −2.28523 2.53800i
\(89\) −9.61713 12.3094i −1.01941 1.30479i −0.951682 0.307086i \(-0.900646\pi\)
−0.0677321 0.997704i \(-0.521576\pi\)
\(90\) −6.97941 11.0066i −0.735695 1.16020i
\(91\) 0.353919 + 0.188182i 0.0371008 + 0.0197268i
\(92\) 20.2578 + 30.0335i 2.11203 + 3.13121i
\(93\) 10.7321 9.00527i 1.11286 0.933803i
\(94\) 9.39166 + 6.82344i 0.968676 + 0.703784i
\(95\) 3.69348 + 9.01988i 0.378943 + 0.925420i
\(96\) −35.4499 + 25.7558i −3.61809 + 2.62870i
\(97\) −3.87194 + 15.5295i −0.393136 + 1.57678i 0.369039 + 0.929414i \(0.379687\pi\)
−0.762176 + 0.647370i \(0.775869\pi\)
\(98\) 0.654191 18.7336i 0.0660832 1.89238i
\(99\) 1.32506 7.51481i 0.133174 0.755267i
\(100\) −26.6767 + 0.353200i −2.66767 + 0.0353200i
\(101\) −16.1809 + 5.88935i −1.61006 + 0.586012i −0.981451 0.191713i \(-0.938596\pi\)
−0.628604 + 0.777725i \(0.716373\pi\)
\(102\) −15.5437 3.30391i −1.53906 0.327136i
\(103\) 0.648119 + 0.288561i 0.0638611 + 0.0284328i 0.438419 0.898771i \(-0.355539\pi\)
−0.374558 + 0.927204i \(0.622205\pi\)
\(104\) 12.8434 + 0.898101i 1.25940 + 0.0880660i
\(105\) −1.35484 + 0.450150i −0.132219 + 0.0439301i
\(106\) 3.28667 31.2706i 0.319230 3.03727i
\(107\) 3.19387 5.53195i 0.308763 0.534794i −0.669329 0.742966i \(-0.733418\pi\)
0.978092 + 0.208173i \(0.0667516\pi\)
\(108\) 9.87298 + 2.83103i 0.950028 + 0.272416i
\(109\) −1.98547 0.279039i −0.190173 0.0267271i 0.0434434 0.999056i \(-0.486167\pi\)
−0.233617 + 0.972329i \(0.575056\pi\)
\(110\) −16.0542 14.2640i −1.53071 1.36001i
\(111\) −0.179027 + 5.12667i −0.0169925 + 0.486602i
\(112\) 1.45407 + 3.59896i 0.137397 + 0.340070i
\(113\) −6.24694 + 19.2261i −0.587663 + 1.80864i 0.000638960 1.00000i \(0.499797\pi\)
−0.588302 + 0.808641i \(0.700203\pi\)
\(114\) 24.0622 + 11.7937i 2.25363 + 1.10458i
\(115\) 9.83528 + 11.5649i 0.917144 + 1.07843i
\(116\) −6.46351 15.9977i −0.600122 1.48535i
\(117\) 1.71478 + 2.54227i 0.158532 + 0.235033i
\(118\) 3.70035 20.9857i 0.340645 1.93189i
\(119\) −0.318740 + 0.653513i −0.0292188 + 0.0599075i
\(120\) −33.8739 + 30.9086i −3.09225 + 2.82156i
\(121\) −0.164511 1.56522i −0.0149555 0.142293i
\(122\) 9.88465 + 4.40093i 0.894914 + 0.398441i
\(123\) −8.69906 + 21.5309i −0.784368 + 1.94138i
\(124\) −25.2289 21.1695i −2.26562 1.90108i
\(125\) −11.0937 + 1.38923i −0.992250 + 0.124257i
\(126\) −0.819750 + 1.41985i −0.0730291 + 0.126490i
\(127\) −2.93564 3.75744i −0.260496 0.333419i 0.639927 0.768436i \(-0.278965\pi\)
−0.900422 + 0.435017i \(0.856742\pi\)
\(128\) 20.3273 + 19.6299i 1.79670 + 1.73505i
\(129\) −4.86613 9.97704i −0.428438 0.878429i
\(130\) 8.62282 0.358279i 0.756271 0.0314231i
\(131\) −1.22455 + 0.0856287i −0.106989 + 0.00748141i −0.123151 0.992388i \(-0.539300\pi\)
0.0161615 + 0.999869i \(0.494855\pi\)
\(132\) −42.9458 −3.73795
\(133\) 0.789950 0.937730i 0.0684974 0.0813115i
\(134\) 9.80183 30.1669i 0.846749 2.60603i
\(135\) 4.24365 + 0.719338i 0.365235 + 0.0619108i
\(136\) −0.815052 + 23.3400i −0.0698901 + 2.00139i
\(137\) 6.72903 + 3.57789i 0.574900 + 0.305680i 0.731346 0.682007i \(-0.238893\pi\)
−0.156446 + 0.987687i \(0.550004\pi\)
\(138\) 41.3327 + 5.80893i 3.51847 + 0.494489i
\(139\) −4.97698 6.37024i −0.422142 0.540317i 0.529183 0.848508i \(-0.322499\pi\)
−0.951324 + 0.308191i \(0.900276\pi\)
\(140\) 1.59519 + 2.95280i 0.134818 + 0.249557i
\(141\) 9.51593 2.02267i 0.801386 0.170340i
\(142\) −5.24627 21.0417i −0.440257 1.76578i
\(143\) 3.87082 + 3.24800i 0.323694 + 0.271611i
\(144\) −3.10402 + 29.5328i −0.258668 + 2.46106i
\(145\) −3.43677 6.36167i −0.285408 0.528308i
\(146\) 4.87119 7.22183i 0.403142 0.597683i
\(147\) −11.3001 10.9124i −0.932014 0.900035i
\(148\) 11.9417 1.67830i 0.981605 0.137956i
\(149\) 13.1222 + 4.77609i 1.07501 + 0.391272i 0.818049 0.575149i \(-0.195056\pi\)
0.256963 + 0.966421i \(0.417278\pi\)
\(150\) −20.2637 + 23.1133i −1.65453 + 1.88719i
\(151\) 19.3926 1.57814 0.789072 0.614300i \(-0.210562\pi\)
0.789072 + 0.614300i \(0.210562\pi\)
\(152\) 10.9286 37.8358i 0.886428 3.06888i
\(153\) −4.50018 + 3.26957i −0.363818 + 0.264329i
\(154\) −0.653563 + 2.62130i −0.0526656 + 0.211230i
\(155\) −11.4928 7.64182i −0.923128 0.613806i
\(156\) 12.4147 11.9887i 0.993969 0.959865i
\(157\) −3.12679 17.7329i −0.249545 1.41524i −0.809695 0.586850i \(-0.800368\pi\)
0.560150 0.828391i \(-0.310743\pi\)
\(158\) −7.11564 2.04038i −0.566090 0.162324i
\(159\) −17.6317 19.5820i −1.39828 1.55295i
\(160\) 34.1916 + 26.3508i 2.70308 + 2.08321i
\(161\) 0.715419 1.77072i 0.0563829 0.139553i
\(162\) 24.8640 15.5367i 1.95350 1.22068i
\(163\) −3.50653 + 0.745337i −0.274653 + 0.0583793i −0.343179 0.939270i \(-0.611504\pi\)
0.0685260 + 0.997649i \(0.478170\pi\)
\(164\) 53.3969 + 11.3499i 4.16960 + 0.886276i
\(165\) −17.8858 + 1.99966i −1.39240 + 0.155673i
\(166\) −39.5555 5.55916i −3.07010 0.431475i
\(167\) −7.46901 + 7.21274i −0.577970 + 0.558139i −0.925122 0.379670i \(-0.876038\pi\)
0.347152 + 0.937809i \(0.387149\pi\)
\(168\) 5.42066 + 1.97296i 0.418213 + 0.152217i
\(169\) 10.9427 0.765185i 0.841743 0.0588604i
\(170\) 1.19538 + 15.6091i 0.0916814 + 1.19717i
\(171\) 8.70391 3.49700i 0.665605 0.267423i
\(172\) −21.1112 + 15.3382i −1.60972 + 1.16953i
\(173\) −9.36701 5.85316i −0.712161 0.445008i 0.124863 0.992174i \(-0.460151\pi\)
−0.837024 + 0.547166i \(0.815706\pi\)
\(174\) −18.6805 6.79914i −1.41616 0.515441i
\(175\) 0.801845 + 1.15549i 0.0606138 + 0.0873465i
\(176\) 8.49691 + 48.1884i 0.640479 + 3.63233i
\(177\) −10.9945 14.0723i −0.826399 1.05774i
\(178\) 4.42244 + 42.0767i 0.331476 + 3.15378i
\(179\) −3.48962 1.55368i −0.260827 0.116128i 0.272158 0.962253i \(-0.412263\pi\)
−0.532984 + 0.846125i \(0.678929\pi\)
\(180\) 0.169961 + 25.6749i 0.0126681 + 1.91370i
\(181\) 3.10636 + 12.4589i 0.230894 + 0.926065i 0.968134 + 0.250434i \(0.0805733\pi\)
−0.737240 + 0.675631i \(0.763871\pi\)
\(182\) −0.542829 0.940208i −0.0402372 0.0696928i
\(183\) 8.28368 3.68813i 0.612347 0.272634i
\(184\) −2.14080 61.3045i −0.157822 4.51943i
\(185\) 4.89527 1.25500i 0.359907 0.0922697i
\(186\) −37.5756 + 5.28091i −2.75518 + 0.387215i
\(187\) −5.64307 + 7.22280i −0.412662 + 0.528184i
\(188\) −8.56716 21.2045i −0.624824 1.54649i
\(189\) −0.167318 0.514952i −0.0121706 0.0374572i
\(190\) 4.46236 26.0190i 0.323733 1.88762i
\(191\) −0.647837 + 1.99384i −0.0468758 + 0.144269i −0.971755 0.235992i \(-0.924166\pi\)
0.924879 + 0.380261i \(0.124166\pi\)
\(192\) 55.9015 3.90901i 4.03434 0.282109i
\(193\) 5.34497 + 1.94541i 0.384740 + 0.140034i 0.527146 0.849774i \(-0.323262\pi\)
−0.142407 + 0.989808i \(0.545484\pi\)
\(194\) 31.1826 30.1127i 2.23878 2.16196i
\(195\) 4.61215 5.57103i 0.330283 0.398950i
\(196\) −20.6502 + 30.6151i −1.47501 + 2.18679i
\(197\) −1.80079 17.1334i −0.128301 1.22070i −0.849355 0.527823i \(-0.823009\pi\)
0.721054 0.692879i \(-0.243658\pi\)
\(198\) −13.8294 + 15.3591i −0.982809 + 1.09152i
\(199\) −11.6152 9.74631i −0.823380 0.690898i 0.130381 0.991464i \(-0.458380\pi\)
−0.953761 + 0.300566i \(0.902824\pi\)
\(200\) 38.6240 + 23.4297i 2.73113 + 1.65673i
\(201\) −13.2910 23.0206i −0.937472 1.62375i
\(202\) 45.6188 + 9.69658i 3.20973 + 0.682249i
\(203\) −0.508637 + 0.754086i −0.0356993 + 0.0529264i
\(204\) 22.5196 + 21.7469i 1.57669 + 1.52259i
\(205\) 22.7669 + 2.24062i 1.59011 + 0.156492i
\(206\) −1.07451 1.59303i −0.0748647 0.110991i
\(207\) 11.1923 9.39142i 0.777916 0.652749i
\(208\) −15.9085 11.5582i −1.10306 0.801417i
\(209\) 12.1983 9.49234i 0.843774 0.656599i
\(210\) 3.75803 + 0.910602i 0.259329 + 0.0628375i
\(211\) 4.28463 + 2.67733i 0.294966 + 0.184315i 0.669327 0.742968i \(-0.266582\pi\)
−0.374361 + 0.927283i \(0.622138\pi\)
\(212\) −38.1364 + 48.8124i −2.61922 + 3.35245i
\(213\) −16.0462 8.53192i −1.09947 0.584598i
\(214\) −15.2759 + 8.12234i −1.04424 + 0.555231i
\(215\) −8.07808 + 7.37094i −0.550920 + 0.502694i
\(216\) −11.6370 12.9243i −0.791801 0.879384i
\(217\) −0.181481 + 1.72668i −0.0123198 + 0.117215i
\(218\) 4.15995 + 3.49061i 0.281747 + 0.236414i
\(219\) −1.76608 7.08336i −0.119341 0.478649i
\(220\) 11.9305 + 40.5907i 0.804357 + 2.73663i
\(221\) −0.385025 3.66327i −0.0258996 0.246418i
\(222\) 7.76937 11.5186i 0.521446 0.773076i
\(223\) 17.5254 9.31841i 1.17359 0.624007i 0.235998 0.971754i \(-0.424164\pi\)
0.937589 + 0.347746i \(0.113053\pi\)
\(224\) 0.942966 5.34782i 0.0630045 0.357316i
\(225\) 1.26627 + 10.6850i 0.0844180 + 0.712333i
\(226\) 41.9434 35.1947i 2.79003 2.34111i
\(227\) −0.929129 2.85957i −0.0616685 0.189796i 0.915476 0.402373i \(-0.131814\pi\)
−0.977144 + 0.212577i \(0.931814\pi\)
\(228\) −27.8884 44.8238i −1.84695 2.96853i
\(229\) 15.7806 11.4653i 1.04281 0.757645i 0.0719771 0.997406i \(-0.477069\pi\)
0.970832 + 0.239761i \(0.0770692\pi\)
\(230\) −5.99204 40.6798i −0.395103 2.68235i
\(231\) 1.26601 + 1.87693i 0.0832971 + 0.123493i
\(232\) −5.07328 + 28.7720i −0.333077 + 1.88897i
\(233\) −10.1406 + 20.7913i −0.664333 + 1.36209i 0.254359 + 0.967110i \(0.418136\pi\)
−0.918692 + 0.394975i \(0.870753\pi\)
\(234\) −0.289862 8.30055i −0.0189488 0.542624i
\(235\) −4.55532 8.43218i −0.297156 0.550055i
\(236\) −28.0905 + 31.1977i −1.82854 + 2.03080i
\(237\) −5.26083 + 3.28733i −0.341728 + 0.213535i
\(238\) 1.67009 1.04359i 0.108256 0.0676456i
\(239\) −1.82921 + 2.03154i −0.118321 + 0.131409i −0.799395 0.600806i \(-0.794847\pi\)
0.681074 + 0.732215i \(0.261513\pi\)
\(240\) 68.8910 12.6181i 4.44689 0.814495i
\(241\) 0.869368 + 24.8954i 0.0560009 + 1.60366i 0.624535 + 0.780997i \(0.285288\pi\)
−0.568534 + 0.822660i \(0.692489\pi\)
\(242\) −1.86864 + 3.83129i −0.120121 + 0.246285i
\(243\) 3.26384 18.5102i 0.209376 1.18743i
\(244\) −11.9198 17.6718i −0.763088 1.13132i
\(245\) −7.17472 + 13.7119i −0.458376 + 0.876021i
\(246\) 50.8837 36.9692i 3.24423 2.35707i
\(247\) −0.876381 + 6.14929i −0.0557628 + 0.391270i
\(248\) 17.2326 + 53.0366i 1.09427 + 3.36783i
\(249\) −25.6431 + 21.5171i −1.62506 + 1.36359i
\(250\) 27.4752 + 12.7315i 1.73768 + 0.805211i
\(251\) 2.01332 11.4181i 0.127079 0.720703i −0.852972 0.521957i \(-0.825202\pi\)
0.980051 0.198746i \(-0.0636868\pi\)
\(252\) 2.85183 1.51634i 0.179648 0.0955206i
\(253\) 13.4625 19.9590i 0.846382 1.25481i
\(254\) 1.34995 + 12.8440i 0.0847037 + 0.805902i
\(255\) 10.3914 + 8.00844i 0.650734 + 0.501508i
\(256\) −6.57048 26.3527i −0.410655 1.64705i
\(257\) −3.48259 2.92224i −0.217238 0.182285i 0.527674 0.849447i \(-0.323064\pi\)
−0.744912 + 0.667162i \(0.767509\pi\)
\(258\) −3.14268 + 29.9006i −0.195655 + 1.86153i
\(259\) −0.425382 0.472435i −0.0264320 0.0293557i
\(260\) −14.7801 8.40335i −0.916624 0.521154i
\(261\) −6.14412 + 3.26689i −0.380312 + 0.202215i
\(262\) 2.93558 + 1.56088i 0.181361 + 0.0964312i
\(263\) 2.41979 3.09719i 0.149211 0.190981i −0.707598 0.706615i \(-0.750221\pi\)
0.856809 + 0.515634i \(0.172444\pi\)
\(264\) 61.6689 + 38.5350i 3.79546 + 2.37167i
\(265\) −13.6100 + 22.1048i −0.836054 + 1.35789i
\(266\) −3.16034 + 1.02009i −0.193773 + 0.0625458i
\(267\) 28.6845 + 20.8405i 1.75546 + 1.27542i
\(268\) −47.8691 + 40.1669i −2.92407 + 2.45359i
\(269\) −8.12698 12.0487i −0.495511 0.734625i 0.495471 0.868625i \(-0.334996\pi\)
−0.990981 + 0.134000i \(0.957218\pi\)
\(270\) −8.71485 7.74304i −0.530369 0.471227i
\(271\) 20.2454 + 19.5508i 1.22982 + 1.18763i 0.975379 + 0.220537i \(0.0707811\pi\)
0.254443 + 0.967088i \(0.418108\pi\)
\(272\) 19.9461 29.5713i 1.20941 1.79302i
\(273\) −0.889937 0.189162i −0.0538614 0.0114486i
\(274\) −10.3208 17.8761i −0.623500 1.07993i
\(275\) 6.85875 + 16.3494i 0.413598 + 0.985907i
\(276\) −62.9900 52.8549i −3.79155 3.18149i
\(277\) 10.8388 12.0377i 0.651240 0.723276i −0.323596 0.946195i \(-0.604892\pi\)
0.974837 + 0.222919i \(0.0715587\pi\)
\(278\) 2.28867 + 21.7752i 0.137265 + 1.30599i
\(279\) −7.42741 + 11.0116i −0.444668 + 0.659247i
\(280\) 0.358880 5.67150i 0.0214472 0.338937i
\(281\) −3.10962 + 3.00292i −0.185504 + 0.179139i −0.781612 0.623765i \(-0.785602\pi\)
0.596108 + 0.802905i \(0.296713\pi\)
\(282\) −24.7603 9.01203i −1.47446 0.536659i
\(283\) −11.9146 + 0.833148i −0.708248 + 0.0495255i −0.419337 0.907831i \(-0.637738\pi\)
−0.288911 + 0.957356i \(0.593293\pi\)
\(284\) −13.2018 + 40.6311i −0.783385 + 2.41101i
\(285\) −13.7019 17.3694i −0.811628 1.02887i
\(286\) −4.22917 13.0160i −0.250076 0.769655i
\(287\) −1.07805 2.66828i −0.0636356 0.157504i
\(288\) 25.5768 32.7368i 1.50713 1.92903i
\(289\) −10.2180 + 1.43605i −0.601059 + 0.0844733i
\(290\) −1.23676 + 19.5449i −0.0726250 + 1.14772i
\(291\) −1.26782 36.3057i −0.0743212 2.12828i
\(292\) −15.6776 + 6.98012i −0.917463 + 0.408481i
\(293\) −0.644093 1.11560i −0.0376283 0.0651742i 0.846598 0.532233i \(-0.178647\pi\)
−0.884226 + 0.467059i \(0.845314\pi\)
\(294\) 10.2931 + 41.2834i 0.600306 + 2.40770i
\(295\) −10.2463 + 14.3010i −0.596563 + 0.832634i
\(296\) −18.6539 8.30527i −1.08424 0.482734i
\(297\) −0.713468 6.78819i −0.0413996 0.393891i
\(298\) −23.2856 29.8042i −1.34890 1.72651i
\(299\) 1.68002 + 9.52789i 0.0971583 + 0.551012i
\(300\) 57.9840 17.4606i 3.34771 1.00809i
\(301\) 1.29269 + 0.470502i 0.0745096 + 0.0271193i
\(302\) −44.5431 27.8336i −2.56316 1.60164i
\(303\) 31.6198 22.9731i 1.81651 1.31977i
\(304\) −44.7779 + 40.1613i −2.56819 + 2.30341i
\(305\) −5.78712 6.80483i −0.331370 0.389644i
\(306\) 15.0293 1.05095i 0.859166 0.0600787i
\(307\) −11.9819 4.36105i −0.683842 0.248898i −0.0233456 0.999727i \(-0.507432\pi\)
−0.660496 + 0.750829i \(0.729654\pi\)
\(308\) 3.82845 3.69709i 0.218146 0.210661i
\(309\) −1.59464 0.224112i −0.0907160 0.0127493i
\(310\) 15.4300 + 34.0480i 0.876365 + 1.93379i
\(311\) 5.98145 + 1.27140i 0.339177 + 0.0720943i 0.374351 0.927287i \(-0.377865\pi\)
−0.0351745 + 0.999381i \(0.511199\pi\)
\(312\) −28.5845 + 6.07583i −1.61828 + 0.343976i
\(313\) 18.9883 11.8652i 1.07328 0.670661i 0.126315 0.991990i \(-0.459685\pi\)
0.946968 + 0.321329i \(0.104129\pi\)
\(314\) −18.2696 + 45.2188i −1.03101 + 2.55184i
\(315\) 1.11710 0.764303i 0.0629417 0.0430636i
\(316\) 9.75798 + 10.8373i 0.548929 + 0.609647i
\(317\) −0.539270 0.154633i −0.0302884 0.00868506i 0.260459 0.965485i \(-0.416126\pi\)
−0.290747 + 0.956800i \(0.593904\pi\)
\(318\) 12.3930 + 70.2844i 0.694967 + 3.94135i
\(319\) −8.24822 + 7.96521i −0.461812 + 0.445966i
\(320\) −19.2244 51.7500i −1.07467 2.89291i
\(321\) −3.50759 + 14.0682i −0.195774 + 0.785209i
\(322\) −4.18473 + 3.04038i −0.233206 + 0.169434i
\(323\) −11.2032 1.19946i −0.623362 0.0667396i
\(324\) −57.7600 −3.20889
\(325\) −6.54680 2.81157i −0.363151 0.155958i
\(326\) 9.12397 + 3.32085i 0.505330 + 0.183925i
\(327\) 4.50660 0.633361i 0.249215 0.0350249i
\(328\) −66.4923 64.2109i −3.67142 3.54545i
\(329\) −0.674181 + 0.999515i −0.0371688 + 0.0551051i
\(330\) 43.9521 + 21.0779i 2.41948 + 1.16030i
\(331\) 2.38764 22.7169i 0.131236 1.24863i −0.708529 0.705682i \(-0.750641\pi\)
0.839765 0.542950i \(-0.182693\pi\)
\(332\) 60.2816 + 50.5822i 3.30838 + 2.77606i
\(333\) −1.17658 4.71901i −0.0644763 0.258600i
\(334\) 27.5079 5.84699i 1.50517 0.319933i
\(335\) −18.0659 + 18.9573i −0.987046 + 1.03575i
\(336\) −5.42424 6.94271i −0.295917 0.378756i
\(337\) 30.1039 + 4.23083i 1.63987 + 0.230468i 0.897973 0.440050i \(-0.145039\pi\)
0.741893 + 0.670518i \(0.233928\pi\)
\(338\) −26.2326 13.9481i −1.42686 0.758677i
\(339\) 1.60137 45.8571i 0.0869742 2.49062i
\(340\) 14.2983 27.3261i 0.775434 1.48196i
\(341\) −6.76331 + 20.8153i −0.366254 + 1.12721i
\(342\) −25.0113 4.46016i −1.35246 0.241178i
\(343\) 3.91580 0.211434
\(344\) 44.0780 3.08224i 2.37653 0.166183i
\(345\) −28.6947 19.0797i −1.54487 1.02721i
\(346\) 13.1144 + 26.8884i 0.705032 + 1.44553i
\(347\) −0.849340 0.820198i −0.0455949 0.0440305i 0.671512 0.740994i \(-0.265645\pi\)
−0.717107 + 0.696963i \(0.754534\pi\)
\(348\) 24.1113 + 30.8611i 1.29250 + 1.65433i
\(349\) 10.1573 17.5930i 0.543708 0.941731i −0.454979 0.890502i \(-0.650353\pi\)
0.998687 0.0512281i \(-0.0163136\pi\)
\(350\) −0.183332 3.80492i −0.00979953 0.203381i
\(351\) 2.10123 + 1.76314i 0.112156 + 0.0941097i
\(352\) 25.6437 63.4704i 1.36681 3.38298i
\(353\) −5.87536 2.61588i −0.312714 0.139229i 0.244378 0.969680i \(-0.421416\pi\)
−0.557092 + 0.830451i \(0.688083\pi\)
\(354\) 5.05584 + 48.1031i 0.268715 + 2.55665i
\(355\) −3.60633 + 17.5365i −0.191404 + 0.930739i
\(356\) 36.5381 74.9142i 1.93652 3.97045i
\(357\) 0.286583 1.62529i 0.0151676 0.0860196i
\(358\) 5.78541 + 8.57722i 0.305768 + 0.453320i
\(359\) −6.04775 14.9687i −0.319188 0.790018i −0.998425 0.0560993i \(-0.982134\pi\)
0.679237 0.733919i \(-0.262311\pi\)
\(360\) 22.7939 37.0210i 1.20134 1.95118i
\(361\) 17.8288 + 6.56753i 0.938360 + 0.345659i
\(362\) 10.7469 33.0756i 0.564845 1.73841i
\(363\) 1.33820 + 3.31217i 0.0702374 + 0.173844i
\(364\) −0.0746430 + 2.13749i −0.00391235 + 0.112035i
\(365\) −6.20429 + 3.63702i −0.324747 + 0.190370i
\(366\) −24.3204 3.41800i −1.27125 0.178662i
\(367\) 4.83733 + 1.38708i 0.252507 + 0.0724051i 0.399503 0.916732i \(-0.369183\pi\)
−0.146996 + 0.989137i \(0.546961\pi\)
\(368\) −46.8444 + 81.1369i −2.44193 + 4.22955i
\(369\) 2.30133 21.8957i 0.119802 1.13984i
\(370\) −13.0453 4.14340i −0.678192 0.215405i
\(371\) 3.25756 + 0.227791i 0.169124 + 0.0118263i
\(372\) 68.2905 + 30.4049i 3.54070 + 1.57642i
\(373\) 17.7462 + 3.77208i 0.918865 + 0.195311i 0.642983 0.765881i \(-0.277697\pi\)
0.275882 + 0.961191i \(0.411030\pi\)
\(374\) 23.3283 8.49082i 1.20628 0.439050i
\(375\) 23.3358 9.97176i 1.20505 0.514940i
\(376\) −6.72446 + 38.1363i −0.346787 + 1.96673i
\(377\) 0.160815 4.60513i 0.00828238 0.237176i
\(378\) −0.354780 + 1.42295i −0.0182479 + 0.0731885i
\(379\) 4.80963 3.49440i 0.247054 0.179495i −0.457366 0.889278i \(-0.651207\pi\)
0.704420 + 0.709783i \(0.251207\pi\)
\(380\) −34.6182 + 38.8113i −1.77588 + 1.99098i
\(381\) 8.75597 + 6.36158i 0.448582 + 0.325914i
\(382\) 4.34972 3.64985i 0.222551 0.186743i
\(383\) −3.14018 4.65551i −0.160456 0.237885i 0.740233 0.672350i \(-0.234715\pi\)
−0.900689 + 0.434465i \(0.856937\pi\)
\(384\) −56.6326 30.1121i −2.89002 1.53665i
\(385\) 1.42230 1.71800i 0.0724872 0.0875574i
\(386\) −9.48475 12.1399i −0.482761 0.617906i
\(387\) 7.04205 + 7.82099i 0.357968 + 0.397563i
\(388\) −83.5332 + 17.7555i −4.24076 + 0.901400i
\(389\) 2.86337 7.08708i 0.145178 0.359329i −0.837021 0.547171i \(-0.815705\pi\)
0.982199 + 0.187842i \(0.0601492\pi\)
\(390\) −18.5897 + 6.17649i −0.941324 + 0.312759i
\(391\) −17.1662 + 3.64880i −0.868134 + 0.184528i
\(392\) 57.1238 25.4332i 2.88519 1.28457i
\(393\) 2.61822 0.952955i 0.132072 0.0480702i
\(394\) −20.4548 + 41.9385i −1.03050 + 2.11283i
\(395\) 4.56855 + 4.05910i 0.229868 + 0.204235i
\(396\) 39.1389 11.2229i 1.96681 0.563973i
\(397\) 0.588534 2.36048i 0.0295377 0.118469i −0.953717 0.300705i \(-0.902778\pi\)
0.983255 + 0.182236i \(0.0583335\pi\)
\(398\) 12.6905 + 39.0574i 0.636118 + 1.95777i
\(399\) −1.13688 + 2.54022i −0.0569153 + 0.127170i
\(400\) −31.0644 61.6077i −1.55322 3.08039i
\(401\) 5.48119 4.59927i 0.273718 0.229676i −0.495587 0.868558i \(-0.665047\pi\)
0.769305 + 0.638882i \(0.220603\pi\)
\(402\) −2.51264 + 71.9525i −0.125319 + 3.58867i
\(403\) −3.85567 7.90529i −0.192065 0.393791i
\(404\) −66.0922 63.8245i −3.28821 3.17539i
\(405\) −24.0555 + 2.68944i −1.19533 + 0.133639i
\(406\) 2.25061 1.00204i 0.111696 0.0497303i
\(407\) −4.00699 6.94031i −0.198619 0.344018i
\(408\) −12.8241 51.4347i −0.634888 2.54640i
\(409\) −4.43478 + 2.77116i −0.219286 + 0.137025i −0.635115 0.772418i \(-0.719047\pi\)
0.415829 + 0.909443i \(0.363492\pi\)
\(410\) −49.0776 37.8231i −2.42377 1.86795i
\(411\) −16.9203 3.59652i −0.834617 0.177403i
\(412\) 0.132113 + 3.78321i 0.00650872 + 0.186385i
\(413\) 2.19157 + 0.308005i 0.107840 + 0.0151559i
\(414\) −39.1869 + 5.50736i −1.92593 + 0.270672i
\(415\) 27.4609 + 18.2593i 1.34800 + 0.896313i
\(416\) 10.3053 + 25.5065i 0.505260 + 1.25056i
\(417\) 14.8446 + 10.7852i 0.726941 + 0.528154i
\(418\) −41.6425 + 4.29523i −2.03680 + 0.210087i
\(419\) −21.6865 15.7562i −1.05946 0.769740i −0.0854689 0.996341i \(-0.527239\pi\)
−0.973988 + 0.226601i \(0.927239\pi\)
\(420\) −5.32788 5.44459i −0.259974 0.265669i
\(421\) 4.70338 1.34867i 0.229229 0.0657302i −0.159057 0.987269i \(-0.550845\pi\)
0.388285 + 0.921539i \(0.373068\pi\)
\(422\) −5.99872 12.2992i −0.292013 0.598716i
\(423\) −8.14383 + 4.33015i −0.395966 + 0.210539i
\(424\) 98.5620 35.8736i 4.78659 1.74218i
\(425\) 4.68249 12.0463i 0.227134 0.584333i
\(426\) 24.6111 + 42.6277i 1.19241 + 2.06532i
\(427\) −0.420956 + 1.04190i −0.0203715 + 0.0504212i
\(428\) 34.0008 + 2.37757i 1.64349 + 0.114924i
\(429\) −10.4777 4.66496i −0.505867 0.225226i
\(430\) 29.1339 5.33619i 1.40496 0.257334i
\(431\) 2.95082 + 0.846135i 0.142136 + 0.0407569i 0.345951 0.938253i \(-0.387556\pi\)
−0.203815 + 0.979009i \(0.565334\pi\)
\(432\) 4.61246 + 26.1586i 0.221917 + 1.25855i
\(433\) −8.52126 + 8.22889i −0.409506 + 0.395455i −0.870676 0.491856i \(-0.836319\pi\)
0.461171 + 0.887312i \(0.347430\pi\)
\(434\) 2.89510 3.70556i 0.138969 0.177873i
\(435\) 11.4787 + 11.7301i 0.550360 + 0.562416i
\(436\) −3.30593 10.1746i −0.158325 0.487275i
\(437\) 29.5742 + 1.09014i 1.41473 + 0.0521483i
\(438\) −6.11000 + 18.8047i −0.291947 + 0.898521i
\(439\) −10.1752 6.35815i −0.485634 0.303458i 0.264916 0.964272i \(-0.414656\pi\)
−0.750550 + 0.660814i \(0.770211\pi\)
\(440\) 19.2899 68.9923i 0.919610 3.28908i
\(441\) 13.1501 + 6.99203i 0.626195 + 0.332954i
\(442\) −4.37341 + 8.96682i −0.208022 + 0.426508i
\(443\) 12.2712 4.46635i 0.583023 0.212203i −0.0336352 0.999434i \(-0.510708\pi\)
0.616658 + 0.787231i \(0.288486\pi\)
\(444\) −25.0052 + 11.1331i −1.18670 + 0.528351i
\(445\) 11.7290 32.9011i 0.556006 1.55966i
\(446\) −53.6287 3.75009i −2.53939 0.177572i
\(447\) −31.6189 2.21101i −1.49552 0.104577i
\(448\) −4.64689 + 5.16089i −0.219545 + 0.243829i
\(449\) −10.0008 + 17.3219i −0.471967 + 0.817472i −0.999486 0.0320722i \(-0.989789\pi\)
0.527518 + 0.849544i \(0.323123\pi\)
\(450\) 12.4274 26.3600i 0.585831 1.24262i
\(451\) −6.29963 35.7270i −0.296638 1.68232i
\(452\) −106.817 + 15.0121i −5.02423 + 0.706110i
\(453\) −42.3119 + 12.1328i −1.98799 + 0.570046i
\(454\) −1.97012 + 7.90173i −0.0924624 + 0.370846i
\(455\) 0.0684401 + 0.893684i 0.00320852 + 0.0418966i
\(456\) −0.173222 + 89.3898i −0.00811187 + 4.18606i
\(457\) −14.6933 −0.687323 −0.343662 0.939094i \(-0.611667\pi\)
−0.343662 + 0.939094i \(0.611667\pi\)
\(458\) −52.7023 + 3.68531i −2.46262 + 0.172203i
\(459\) −3.06329 + 3.92083i −0.142982 + 0.183009i
\(460\) −32.4575 + 74.2190i −1.51334 + 3.46048i
\(461\) −15.4812 + 8.23149i −0.721031 + 0.383379i −0.789070 0.614304i \(-0.789437\pi\)
0.0680389 + 0.997683i \(0.478326\pi\)
\(462\) −0.214002 6.12821i −0.00995627 0.285110i
\(463\) 3.59415 + 3.99171i 0.167035 + 0.185511i 0.820851 0.571143i \(-0.193500\pi\)
−0.653816 + 0.756653i \(0.726833\pi\)
\(464\) 29.8579 33.1606i 1.38612 1.53944i
\(465\) 29.8569 + 9.48304i 1.38458 + 0.439765i
\(466\) 53.1333 33.2014i 2.46135 1.53802i
\(467\) −0.140860 + 1.34019i −0.00651823 + 0.0620168i −0.997297 0.0734692i \(-0.976593\pi\)
0.990779 + 0.135486i \(0.0432596\pi\)
\(468\) −8.18122 + 14.1703i −0.378177 + 0.655022i
\(469\) 3.16662 + 0.908015i 0.146221 + 0.0419282i
\(470\) −1.63928 + 25.9061i −0.0756144 + 1.19496i
\(471\) 17.9167 + 36.7346i 0.825556 + 1.69264i
\(472\) 68.3307 19.5935i 3.14518 0.901865i
\(473\) 14.7065 + 9.18965i 0.676206 + 0.422541i
\(474\) 16.8019 0.771736
\(475\) −12.6104 + 17.7758i −0.578605 + 0.815608i
\(476\) −3.87967 −0.177824
\(477\) 21.1861 + 13.2385i 0.970044 + 0.606151i
\(478\) 7.11733 2.04086i 0.325539 0.0933469i
\(479\) 2.74723 + 5.63266i 0.125524 + 0.257363i 0.952297 0.305174i \(-0.0987145\pi\)
−0.826773 + 0.562536i \(0.809826\pi\)
\(480\) −91.0874 36.1022i −4.15755 1.64783i
\(481\) 3.09578 + 0.887701i 0.141156 + 0.0404757i
\(482\) 33.7348 58.4305i 1.53658 2.66143i
\(483\) −0.453112 + 4.31107i −0.0206173 + 0.196161i
\(484\) 7.12167 4.45011i 0.323712 0.202278i
\(485\) −33.9626 + 11.2842i −1.54216 + 0.512389i
\(486\) −34.0639 + 37.8318i −1.54517 + 1.71608i
\(487\) −18.1168 20.1207i −0.820950 0.911757i 0.176414 0.984316i \(-0.443550\pi\)
−0.997364 + 0.0725587i \(0.976884\pi\)
\(488\) 1.25966 + 36.0719i 0.0570220 + 1.63290i
\(489\) 7.18447 3.82005i 0.324893 0.172749i
\(490\) 36.1600 21.1974i 1.63354 0.957599i
\(491\) −25.2645 + 32.3371i −1.14017 + 1.45935i −0.272543 + 0.962144i \(0.587865\pi\)
−0.867630 + 0.497211i \(0.834357\pi\)
\(492\) −123.606 + 8.64335i −5.57258 + 0.389673i
\(493\) 8.35857 0.376451
\(494\) 10.8389 12.8665i 0.487664 0.578893i
\(495\) 15.7777 6.49644i 0.709157 0.291993i
\(496\) 20.6051 82.6426i 0.925197 3.71076i
\(497\) 2.16495 0.620789i 0.0971112 0.0278462i
\(498\) 89.7827 12.6181i 4.02326 0.565432i
\(499\) 1.01625 + 5.76341i 0.0454934 + 0.258006i 0.999069 0.0431490i \(-0.0137390\pi\)
−0.953575 + 0.301155i \(0.902628\pi\)
\(500\) −32.6114 49.9536i −1.45842 2.23399i
\(501\) 11.7838 20.4101i 0.526461 0.911857i
\(502\) −21.0124 + 23.3367i −0.937831 + 1.04157i
\(503\) 40.6706 + 2.84396i 1.81341 + 0.126806i 0.935792 0.352552i \(-0.114686\pi\)
0.877620 + 0.479358i \(0.159130\pi\)
\(504\) −5.45575 0.381503i −0.243018 0.0169935i
\(505\) −30.4975 23.5038i −1.35712 1.04590i
\(506\) −59.5688 + 26.5218i −2.64816 + 1.17904i
\(507\) −23.3967 + 8.51569i −1.03908 + 0.378195i
\(508\) 11.1533 22.8676i 0.494847 1.01459i
\(509\) 9.69280 + 5.15375i 0.429626 + 0.228436i 0.670178 0.742200i \(-0.266218\pi\)
−0.240553 + 0.970636i \(0.577329\pi\)
\(510\) −12.3738 33.3092i −0.547923 1.47495i
\(511\) 0.767227 + 0.479417i 0.0339401 + 0.0212081i
\(512\) −5.26693 + 16.2100i −0.232768 + 0.716386i
\(513\) 6.62172 5.15282i 0.292356 0.227503i
\(514\) 3.80501 + 11.7106i 0.167832 + 0.516533i
\(515\) 0.231177 + 1.56945i 0.0101869 + 0.0691584i
\(516\) 36.4657 46.6739i 1.60531 2.05470i
\(517\) −10.9327 + 10.5576i −0.480821 + 0.464324i
\(518\) 0.298994 + 1.69568i 0.0131371 + 0.0745040i
\(519\) 24.0995 + 6.91042i 1.05785 + 0.303334i
\(520\) 13.6836 + 25.3291i 0.600064 + 1.11075i
\(521\) 30.5707 + 13.6110i 1.33933 + 0.596307i 0.946321 0.323229i \(-0.104768\pi\)
0.393006 + 0.919536i \(0.371435\pi\)
\(522\) 18.8014 + 1.31472i 0.822914 + 0.0575438i
\(523\) 13.0725 32.3555i 0.571619 1.41481i −0.313565 0.949567i \(-0.601523\pi\)
0.885184 0.465240i \(-0.154032\pi\)
\(524\) −3.27496 5.67239i −0.143067 0.247800i
\(525\) −2.47243 2.01945i −0.107906 0.0881359i
\(526\) −10.0034 + 3.64093i −0.436167 + 0.158752i
\(527\) 14.0870 7.49018i 0.613638 0.326277i
\(528\) −48.6876 99.8244i −2.11886 4.34430i
\(529\) 22.2011 6.36608i 0.965267 0.276786i
\(530\) 62.9873 31.2388i 2.73599 1.35693i
\(531\) 13.6974 + 9.95176i 0.594418 + 0.431870i
\(532\) 6.34491 + 1.59503i 0.275087 + 0.0691533i
\(533\) 11.7946 + 8.56928i 0.510881 + 0.371177i
\(534\) −35.9740 89.0388i −1.55675 3.85309i
\(535\) 14.2711 0.592966i 0.616994 0.0256362i
\(536\) 104.780 14.7259i 4.52582 0.636062i
\(537\) 8.58592 + 1.20667i 0.370510 + 0.0520718i
\(538\) 1.37376 + 39.3393i 0.0592270 + 1.69604i
\(539\) 24.0049 + 5.10239i 1.03396 + 0.219776i
\(540\) 6.47638 + 22.0343i 0.278699 + 0.948204i
\(541\) −0.857113 + 0.535584i −0.0368502 + 0.0230265i −0.548219 0.836335i \(-0.684694\pi\)
0.511369 + 0.859361i \(0.329139\pi\)
\(542\) −18.4413 73.9641i −0.792123 3.17703i
\(543\) −14.5725 25.2402i −0.625364 1.08316i
\(544\) −45.5870 + 20.2966i −1.95453 + 0.870212i
\(545\) −1.85058 4.08351i −0.0792702 0.174918i
\(546\) 1.77261 + 1.71179i 0.0758607 + 0.0732578i
\(547\) −5.34559 10.9601i −0.228561 0.468619i 0.753435 0.657523i \(-0.228396\pi\)
−0.981996 + 0.188904i \(0.939507\pi\)
\(548\) −1.41918 + 40.6400i −0.0606244 + 1.73606i
\(549\) −6.58558 + 5.52595i −0.281066 + 0.235842i
\(550\) 7.71189 47.3974i 0.328836 2.02103i
\(551\) −13.6698 3.43641i −0.582353 0.146396i
\(552\) 43.0254 + 132.419i 1.83128 + 5.63611i
\(553\) 0.185985 0.745945i 0.00790888 0.0317208i
\(554\) −42.1732 + 12.0930i −1.79177 + 0.513781i
\(555\) −9.89563 + 5.80092i −0.420046 + 0.246235i
\(556\) 18.9089 38.7690i 0.801916 1.64417i
\(557\) 6.51051 2.36963i 0.275859 0.100404i −0.200386 0.979717i \(-0.564220\pi\)
0.476245 + 0.879313i \(0.341997\pi\)
\(558\) 32.8648 14.6323i 1.39128 0.619436i
\(559\) −6.81670 + 1.44893i −0.288316 + 0.0612834i
\(560\) −5.05511 + 7.05550i −0.213617 + 0.298149i
\(561\) 7.79355 19.2897i 0.329044 0.814412i
\(562\) 11.4525 2.43431i 0.483096 0.102685i
\(563\) −12.3156 13.6779i −0.519043 0.576455i 0.425453 0.904981i \(-0.360115\pi\)
−0.944495 + 0.328526i \(0.893448\pi\)
\(564\) 31.9587 + 40.9053i 1.34571 + 1.72242i
\(565\) −43.7872 + 11.2258i −1.84214 + 0.472272i
\(566\) 28.5625 + 15.1870i 1.20057 + 0.638356i
\(567\) 1.70272 + 2.52438i 0.0715074 + 0.106014i
\(568\) 55.4156 46.4992i 2.32518 1.95106i
\(569\) 13.9995 + 10.1712i 0.586888 + 0.426399i 0.841201 0.540723i \(-0.181849\pi\)
−0.254313 + 0.967122i \(0.581849\pi\)
\(570\) 6.54227 + 59.5618i 0.274026 + 2.49477i
\(571\) −5.65256 + 4.10682i −0.236552 + 0.171865i −0.699746 0.714392i \(-0.746703\pi\)
0.463194 + 0.886257i \(0.346703\pi\)
\(572\) −6.52266 + 26.1609i −0.272726 + 1.09384i
\(573\) 0.166069 4.75559i 0.00693763 0.198668i
\(574\) −1.35351 + 7.67611i −0.0564942 + 0.320395i
\(575\) −10.0618 + 32.4215i −0.419608 + 1.35207i
\(576\) −49.9247 + 18.1711i −2.08020 + 0.757129i
\(577\) 31.4203 + 6.67859i 1.30804 + 0.278033i 0.808624 0.588326i \(-0.200213\pi\)
0.499421 + 0.866360i \(0.333546\pi\)
\(578\) 25.5310 + 11.3671i 1.06195 + 0.472810i
\(579\) −12.8791 0.900596i −0.535238 0.0374275i
\(580\) 22.4705 31.3624i 0.933035 1.30225i
\(581\) 0.433629 4.12571i 0.0179900 0.171163i
\(582\) −49.1965 + 85.2108i −2.03926 + 3.53210i
\(583\) 39.5706 + 11.3467i 1.63885 + 0.469932i
\(584\) 28.7758 + 4.04418i 1.19075 + 0.167349i
\(585\) −2.74745 + 6.28248i −0.113593 + 0.259749i
\(586\) −0.121765 + 3.48689i −0.00503006 + 0.144042i
\(587\) 6.18343 + 15.3045i 0.255217 + 0.631685i 0.999339 0.0363592i \(-0.0115760\pi\)
−0.744121 + 0.668044i \(0.767132\pi\)
\(588\) 25.9018 79.7176i 1.06817 3.28750i
\(589\) −26.1176 + 6.45811i −1.07616 + 0.266102i
\(590\) 44.0606 18.1418i 1.81395 0.746888i
\(591\) 14.6484 + 36.2560i 0.602554 + 1.49137i
\(592\) 17.4394 + 25.8550i 0.716757 + 1.06264i
\(593\) 6.88262 39.0333i 0.282635 1.60290i −0.430977 0.902363i \(-0.641831\pi\)
0.713612 0.700541i \(-0.247058\pi\)
\(594\) −8.10412 + 16.6159i −0.332516 + 0.681759i
\(595\) −1.61578 + 0.180647i −0.0662404 + 0.00740580i
\(596\) 7.78853 + 74.1030i 0.319031 + 3.03538i
\(597\) 31.4405 + 13.9982i 1.28677 + 0.572908i
\(598\) 9.81624 24.2960i 0.401416 0.993539i
\(599\) 29.6621 + 24.8894i 1.21196 + 1.01695i 0.999206 + 0.0398481i \(0.0126874\pi\)
0.212753 + 0.977106i \(0.431757\pi\)
\(600\) −98.9308 26.9558i −4.03883 1.10046i
\(601\) −14.0445 + 24.3258i −0.572887 + 0.992269i 0.423381 + 0.905952i \(0.360843\pi\)
−0.996268 + 0.0863174i \(0.972490\pi\)
\(602\) −2.29391 2.93607i −0.0934927 0.119665i
\(603\) 18.1287 + 17.5067i 0.738259 + 0.712928i
\(604\) 45.3605 + 93.0028i 1.84569 + 3.78423i
\(605\) 2.75877 2.18495i 0.112160 0.0888310i
\(606\) −105.601 + 7.38432i −4.28973 + 0.299967i
\(607\) 26.3215 1.06836 0.534179 0.845371i \(-0.320621\pi\)
0.534179 + 0.845371i \(0.320621\pi\)
\(608\) 82.8986 14.4517i 3.36198 0.586093i
\(609\) 0.637991 1.96354i 0.0258527 0.0795665i
\(610\) 3.52574 + 23.9362i 0.142753 + 0.969148i
\(611\) 0.213154 6.10395i 0.00862331 0.246939i
\(612\) −26.2065 13.9342i −1.05933 0.563257i
\(613\) 4.78941 + 0.673108i 0.193443 + 0.0271866i 0.235229 0.971940i \(-0.424416\pi\)
−0.0417863 + 0.999127i \(0.513305\pi\)
\(614\) 21.2621 + 27.2142i 0.858067 + 1.09828i
\(615\) −51.0760 + 9.35510i −2.05958 + 0.377234i
\(616\) −8.81493 + 1.87367i −0.355164 + 0.0754924i
\(617\) −4.00916 16.0799i −0.161403 0.647351i −0.995419 0.0956107i \(-0.969520\pi\)
0.834016 0.551740i \(-0.186036\pi\)
\(618\) 3.34109 + 2.80351i 0.134399 + 0.112774i
\(619\) 1.31434 12.5051i 0.0528278 0.502623i −0.935832 0.352447i \(-0.885350\pi\)
0.988659 0.150175i \(-0.0479838\pi\)
\(620\) 9.76610 72.9921i 0.392216 2.93143i
\(621\) 7.30800 10.8345i 0.293260 0.434775i
\(622\) −11.9141 11.5053i −0.477711 0.461320i
\(623\) −4.35122 + 0.611524i −0.174328 + 0.0245002i
\(624\) 41.9414 + 15.2654i 1.67900 + 0.611106i
\(625\) −15.9077 19.2859i −0.636309 0.771435i
\(626\) −60.6443 −2.42383
\(627\) −20.6762 + 28.3427i −0.825729 + 1.13190i
\(628\) 77.7298 56.4740i 3.10176 2.25356i
\(629\) −1.41328 + 5.66837i −0.0563513 + 0.226013i
\(630\) −3.66287 + 0.152193i −0.145932 + 0.00606350i
\(631\) −10.6891 + 10.3224i −0.425528 + 0.410927i −0.876341 0.481691i \(-0.840023\pi\)
0.450814 + 0.892618i \(0.351134\pi\)
\(632\) −4.28790 24.3179i −0.170563 0.967313i
\(633\) −11.0235 3.16094i −0.438145 0.125636i
\(634\) 1.01672 + 1.12918i 0.0403790 + 0.0448454i
\(635\) 3.58027 10.0431i 0.142079 0.398547i
\(636\) 52.6695 130.362i 2.08848 5.16918i
\(637\) −8.36365 + 5.22619i −0.331380 + 0.207069i
\(638\) 30.3777 6.45697i 1.20266 0.255634i
\(639\) 16.8534 + 3.58231i 0.666712 + 0.141714i
\(640\) −12.7280 + 61.8923i −0.503118 + 2.44651i
\(641\) −10.5344 1.48051i −0.416083 0.0584766i −0.0719741 0.997406i \(-0.522930\pi\)
−0.344108 + 0.938930i \(0.611819\pi\)
\(642\) 28.2483 27.2790i 1.11487 1.07662i
\(643\) −27.4600 9.99463i −1.08292 0.394150i −0.261925 0.965088i \(-0.584357\pi\)
−0.820993 + 0.570939i \(0.806579\pi\)
\(644\) 10.1655 0.710838i 0.400575 0.0280109i
\(645\) 13.0137 21.1364i 0.512414 0.832243i
\(646\) 24.0112 + 18.8347i 0.944708 + 0.741040i
\(647\) 6.24880 4.54002i 0.245666 0.178487i −0.458138 0.888881i \(-0.651483\pi\)
0.703804 + 0.710394i \(0.251483\pi\)
\(648\) 82.9417 + 51.8277i 3.25826 + 2.03598i
\(649\) 26.2161 + 9.54188i 1.02907 + 0.374552i
\(650\) 11.0021 + 15.8544i 0.431537 + 0.621860i
\(651\) −0.684311 3.88092i −0.0268203 0.152105i
\(652\) −11.7765 15.0732i −0.461204 0.590314i
\(653\) −0.217883 2.07302i −0.00852643 0.0811236i 0.989431 0.145003i \(-0.0463193\pi\)
−0.997958 + 0.0638797i \(0.979653\pi\)
\(654\) −11.2603 5.01341i −0.440313 0.196040i
\(655\) −1.62805 2.20991i −0.0636132 0.0863482i
\(656\) 34.1541 + 136.985i 1.33349 + 5.34835i
\(657\) 3.46060 + 5.99394i 0.135011 + 0.233846i
\(658\) 2.98311 1.32817i 0.116294 0.0517773i
\(659\) 0.308993 + 8.84841i 0.0120367 + 0.344685i 0.990437 + 0.137966i \(0.0440565\pi\)
−0.978400 + 0.206719i \(0.933721\pi\)
\(660\) −51.4260 81.0992i −2.00175 3.15678i
\(661\) −4.88954 + 0.687180i −0.190181 + 0.0267282i −0.233621 0.972328i \(-0.575057\pi\)
0.0434394 + 0.999056i \(0.486168\pi\)
\(662\) −38.0891 + 48.7518i −1.48037 + 1.89479i
\(663\) 3.13196 + 7.75186i 0.121635 + 0.301057i
\(664\) −41.1754 126.725i −1.59792 4.91788i
\(665\) 2.71675 + 0.368852i 0.105351 + 0.0143035i
\(666\) −4.07055 + 12.5279i −0.157731 + 0.485445i
\(667\) −21.9010 + 1.53147i −0.848010 + 0.0592986i
\(668\) −52.0614 18.9488i −2.01432 0.733151i
\(669\) −32.4080 + 31.2961i −1.25297 + 1.20998i
\(670\) 68.7048 17.6139i 2.65430 0.680484i
\(671\) −7.92141 + 11.7440i −0.305803 + 0.453371i
\(672\) 1.28839 + 12.2582i 0.0497006 + 0.472869i
\(673\) 1.70291 1.89128i 0.0656425 0.0729033i −0.709429 0.704777i \(-0.751047\pi\)
0.775072 + 0.631874i \(0.217714\pi\)
\(674\) −63.0738 52.9252i −2.42951 2.03860i
\(675\) 3.72320 + 8.87512i 0.143306 + 0.341603i
\(676\) 29.2653 + 50.6890i 1.12559 + 1.94958i
\(677\) −30.1956 6.41828i −1.16051 0.246675i −0.412879 0.910786i \(-0.635477\pi\)
−0.747634 + 0.664111i \(0.768810\pi\)
\(678\) −69.4956 + 103.031i −2.66896 + 3.95690i
\(679\) 3.23849 + 3.12737i 0.124282 + 0.120018i
\(680\) −45.0515 + 26.4096i −1.72765 + 1.01276i
\(681\) 3.81629 + 5.65788i 0.146241 + 0.216811i
\(682\) 45.4104 38.1038i 1.73885 1.45907i
\(683\) −36.8727 26.7896i −1.41090 1.02508i −0.993191 0.116494i \(-0.962835\pi\)
−0.417705 0.908583i \(-0.637165\pi\)
\(684\) 37.1300 + 33.5625i 1.41970 + 1.28329i
\(685\) 1.30125 + 16.9915i 0.0497181 + 0.649214i
\(686\) −8.99426 5.62024i −0.343403 0.214582i
\(687\) −27.2579 + 34.8886i −1.03995 + 1.33108i
\(688\) −59.5864 31.6826i −2.27171 1.20789i
\(689\) −14.6065 + 7.76643i −0.556464 + 0.295877i
\(690\) 38.5247 + 85.0090i 1.46661 + 3.23624i
\(691\) −19.8783 22.0771i −0.756207 0.839853i 0.235025 0.971989i \(-0.424483\pi\)
−0.991232 + 0.132137i \(0.957816\pi\)
\(692\) 6.16050 58.6133i 0.234187 2.22814i
\(693\) −1.64428 1.37971i −0.0624609 0.0524110i
\(694\) 0.773654 + 3.10296i 0.0293675 + 0.117787i
\(695\) 6.06987 17.0267i 0.230243 0.645859i
\(696\) −6.93168 65.9506i −0.262745 2.49985i
\(697\) −14.7881 + 21.9243i −0.560139 + 0.830441i
\(698\) −48.5812 + 25.8311i −1.83882 + 0.977720i
\(699\) 9.11755 51.7082i 0.344857 1.95578i
\(700\) −3.66591 + 6.54824i −0.138558 + 0.247500i
\(701\) 10.9622 9.19838i 0.414036 0.347418i −0.411853 0.911250i \(-0.635118\pi\)
0.825889 + 0.563833i \(0.190674\pi\)
\(702\) −2.29576 7.06563i −0.0866480 0.266675i
\(703\) 4.64173 8.68915i 0.175066 0.327718i
\(704\) −70.8253 + 51.4576i −2.66933 + 1.93938i
\(705\) 15.2146 + 15.5479i 0.573015 + 0.585567i
\(706\) 9.74070 + 14.4412i 0.366596 + 0.543501i
\(707\) −0.841086 + 4.77003i −0.0316323 + 0.179396i
\(708\) 41.7712 85.6437i 1.56986 3.21869i
\(709\) 1.15033 + 32.9410i 0.0432014 + 1.23713i 0.806561 + 0.591151i \(0.201326\pi\)
−0.763359 + 0.645974i \(0.776451\pi\)
\(710\) 33.4530 35.1037i 1.25547 1.31742i
\(711\) 3.93543 4.37073i 0.147590 0.163915i
\(712\) −119.688 + 74.7893i −4.48549 + 2.80285i
\(713\) −35.5381 + 22.2067i −1.33091 + 0.831647i
\(714\) −2.99099 + 3.32183i −0.111935 + 0.124316i
\(715\) −1.49839 + 11.1990i −0.0560367 + 0.418820i
\(716\) −0.711325 20.3697i −0.0265835 0.761251i
\(717\) 2.72007 5.57696i 0.101583 0.208275i
\(718\) −7.59299 + 43.0620i −0.283368 + 1.60706i
\(719\) −13.6786 20.2794i −0.510128 0.756295i 0.482708 0.875781i \(-0.339653\pi\)
−0.992836 + 0.119486i \(0.961875\pi\)
\(720\) −59.4868 + 29.5027i −2.21694 + 1.09950i
\(721\) 0.161449 0.117300i 0.00601269 0.00436848i
\(722\) −31.5251 40.6743i −1.17324 1.51374i
\(723\) −17.4724 53.7745i −0.649806 1.99990i
\(724\) −52.4846 + 44.0398i −1.95057 + 1.63673i
\(725\) 7.89803 14.1079i 0.293325 0.523954i
\(726\) 1.68012 9.52845i 0.0623552 0.353634i
\(727\) −9.57213 + 5.08959i −0.355010 + 0.188762i −0.637392 0.770540i \(-0.719987\pi\)
0.282381 + 0.959302i \(0.408876\pi\)
\(728\) 2.02515 3.00240i 0.0750570 0.111277i
\(729\) 1.06488 + 10.1317i 0.0394402 + 0.375248i
\(730\) 19.4708 + 0.550918i 0.720648 + 0.0203904i
\(731\) −3.05823 12.2659i −0.113113 0.453671i
\(732\) 37.0636 + 31.1001i 1.36991 + 1.14949i
\(733\) −5.29398 + 50.3689i −0.195538 + 1.86042i 0.254064 + 0.967187i \(0.418233\pi\)
−0.449601 + 0.893229i \(0.648434\pi\)
\(734\) −9.12009 10.1289i −0.336629 0.373864i
\(735\) 7.07556 34.4063i 0.260986 1.26909i
\(736\) 115.728 61.5335i 4.26578 2.26815i
\(737\) 36.6665 + 19.4959i 1.35063 + 0.718141i
\(738\) −36.7122 + 46.9894i −1.35139 + 1.72971i
\(739\) 42.1337 + 26.3281i 1.54991 + 0.968494i 0.990176 + 0.139825i \(0.0446539\pi\)
0.559738 + 0.828669i \(0.310902\pi\)
\(740\) 17.4691 + 20.5412i 0.642177 + 0.755109i
\(741\) −1.93509 13.9652i −0.0710874 0.513025i
\(742\) −7.15539 5.19870i −0.262683 0.190850i
\(743\) −7.58071 + 6.36097i −0.278109 + 0.233361i −0.771163 0.636637i \(-0.780325\pi\)
0.493054 + 0.869999i \(0.335880\pi\)
\(744\) −70.7810 104.937i −2.59496 3.84718i
\(745\) 6.69413 + 30.4992i 0.245254 + 1.11741i
\(746\) −35.3476 34.1348i −1.29417 1.24976i
\(747\) 17.7470 26.3110i 0.649328 0.962668i
\(748\) −47.8386 10.1684i −1.74915 0.371794i
\(749\) −0.898404 1.55608i −0.0328270 0.0568580i
\(750\) −67.9124 10.5889i −2.47981 0.386651i
\(751\) −36.6026 30.7132i −1.33565 1.12074i −0.982722 0.185088i \(-0.940743\pi\)
−0.352924 0.935652i \(-0.614813\pi\)
\(752\) 39.5757 43.9532i 1.44318 1.60281i
\(753\) 2.75082 + 26.1723i 0.100245 + 0.953771i
\(754\) −6.97899 + 10.3468i −0.254160 + 0.376807i
\(755\) 23.2219 + 36.6211i 0.845130 + 1.33278i
\(756\) 2.07824 2.00693i 0.0755847 0.0729913i
\(757\) −10.5965 3.85682i −0.385137 0.140178i 0.142193 0.989839i \(-0.454585\pi\)
−0.527330 + 0.849661i \(0.676807\pi\)
\(758\) −16.0627 + 1.12321i −0.583424 + 0.0407970i
\(759\) −16.8862 + 51.9705i −0.612932 + 1.88641i
\(760\) 84.5359 24.6692i 3.06644 0.894846i
\(761\) −1.27346 3.91932i −0.0461630 0.142075i 0.925318 0.379191i \(-0.123798\pi\)
−0.971481 + 0.237116i \(0.923798\pi\)
\(762\) −10.9811 27.1792i −0.397803 0.984598i
\(763\) −0.347221 + 0.444423i −0.0125703 + 0.0160892i
\(764\) −11.0774 + 1.55682i −0.400765 + 0.0563239i
\(765\) −11.5631 4.58299i −0.418064 0.165698i
\(766\) 0.530806 + 15.2003i 0.0191788 + 0.549209i
\(767\) −10.2422 + 4.56012i −0.369824 + 0.164656i
\(768\) 30.8232 + 53.3874i 1.11224 + 1.92645i
\(769\) 6.68750 + 26.8221i 0.241158 + 0.967230i 0.961763 + 0.273884i \(0.0883086\pi\)
−0.720605 + 0.693346i \(0.756136\pi\)
\(770\) −5.73270 + 1.90471i −0.206592 + 0.0686411i
\(771\) 9.42682 + 4.19709i 0.339499 +