Properties

Label 384.2.w.a.11.20
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.20
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.813493 + 1.15682i) q^{2} +(-1.73071 - 0.0681515i) q^{3} +(-0.676460 - 1.88213i) q^{4} +(1.66341 + 0.889109i) q^{5} +(1.48676 - 1.94668i) q^{6} +(-2.12405 - 0.422500i) q^{7} +(2.72758 + 0.748555i) q^{8} +(2.99071 + 0.235901i) q^{9} +O(q^{10})\) \(q+(-0.813493 + 1.15682i) q^{2} +(-1.73071 - 0.0681515i) q^{3} +(-0.676460 - 1.88213i) q^{4} +(1.66341 + 0.889109i) q^{5} +(1.48676 - 1.94668i) q^{6} +(-2.12405 - 0.422500i) q^{7} +(2.72758 + 0.748555i) q^{8} +(2.99071 + 0.235901i) q^{9} +(-2.38171 + 1.20098i) q^{10} +(-2.38724 + 1.95916i) q^{11} +(1.04249 + 3.30352i) q^{12} +(-1.07693 + 0.575629i) q^{13} +(2.21666 - 2.11344i) q^{14} +(-2.81828 - 1.65215i) q^{15} +(-3.08480 + 2.54637i) q^{16} +(-3.03653 + 1.25777i) q^{17} +(-2.70582 + 3.26781i) q^{18} +(0.0115783 - 0.0381685i) q^{19} +(0.548189 - 3.73219i) q^{20} +(3.64732 + 0.875982i) q^{21} +(-0.324388 - 4.35536i) q^{22} +(-4.68419 - 3.12987i) q^{23} +(-4.66962 - 1.48142i) q^{24} +(-0.801445 - 1.19945i) q^{25} +(0.210173 - 1.71408i) q^{26} +(-5.15997 - 0.612097i) q^{27} +(0.641636 + 4.28354i) q^{28} +(-2.81564 - 2.31074i) q^{29} +(4.20389 - 1.91622i) q^{30} +(-0.683005 + 0.683005i) q^{31} +(-0.436219 - 5.64001i) q^{32} +(4.26514 - 3.22804i) q^{33} +(1.01518 - 4.53590i) q^{34} +(-3.15751 - 2.59130i) q^{35} +(-1.57910 - 5.78847i) q^{36} +(1.24167 + 4.09324i) q^{37} +(0.0347352 + 0.0444438i) q^{38} +(1.90308 - 0.922853i) q^{39} +(3.87152 + 3.67026i) q^{40} +(-8.68478 - 5.80298i) q^{41} +(-3.98042 + 3.50669i) q^{42} +(-0.213016 + 2.16279i) q^{43} +(5.30225 + 3.16780i) q^{44} +(4.76503 + 3.05147i) q^{45} +(7.43125 - 2.87263i) q^{46} +(-3.02989 + 1.25502i) q^{47} +(5.51244 - 4.19679i) q^{48} +(-2.13407 - 0.883961i) q^{49} +(2.03951 + 0.0486147i) q^{50} +(5.34107 - 1.96989i) q^{51} +(1.81191 + 1.63752i) q^{52} +(-5.37932 + 4.41470i) q^{53} +(4.90569 - 5.47122i) q^{54} +(-5.71286 + 1.13636i) q^{55} +(-5.47724 - 2.74237i) q^{56} +(-0.0226399 + 0.0652695i) q^{57} +(4.96361 - 1.37742i) q^{58} +(10.6395 + 5.68695i) q^{59} +(-1.20311 + 6.42198i) q^{60} +(-0.0413613 - 0.419949i) q^{61} +(-0.234494 - 1.34573i) q^{62} +(-6.25275 - 1.76464i) q^{63} +(6.87933 + 4.08348i) q^{64} -2.30316 q^{65} +(0.264597 + 7.55998i) q^{66} +(-11.3473 + 1.11761i) q^{67} +(4.42137 + 4.86430i) q^{68} +(7.89366 + 5.73614i) q^{69} +(5.56628 - 1.54466i) q^{70} +(5.72415 + 1.13860i) q^{71} +(7.98080 + 2.88215i) q^{72} +(3.00766 + 15.1205i) q^{73} +(-5.74523 - 1.89343i) q^{74} +(1.30532 + 2.13051i) q^{75} +(-0.0796702 + 0.00402764i) q^{76} +(5.89836 - 3.15274i) q^{77} +(-0.480565 + 2.95225i) q^{78} +(3.13967 - 7.57983i) q^{79} +(-7.39528 + 1.49291i) q^{80} +(8.88870 + 1.41102i) q^{81} +(13.7780 - 5.32603i) q^{82} +(2.01121 - 6.63009i) q^{83} +(-0.818557 - 7.45729i) q^{84} +(-6.16928 - 0.607621i) q^{85} +(-2.32867 - 2.00583i) q^{86} +(4.71558 + 4.19111i) q^{87} +(-7.97791 + 3.55677i) q^{88} +(-1.67163 - 2.50177i) q^{89} +(-7.40631 + 3.02993i) q^{90} +(2.53065 - 0.767665i) q^{91} +(-2.72216 + 10.9335i) q^{92} +(1.22863 - 1.13554i) q^{93} +(1.01296 - 4.52598i) q^{94} +(0.0531954 - 0.0531954i) q^{95} +(0.370594 + 9.79095i) q^{96} +(-0.891426 - 0.891426i) q^{97} +(2.75863 - 1.74964i) q^{98} +(-7.60171 + 5.29612i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.813493 + 1.15682i −0.575226 + 0.817994i
\(3\) −1.73071 0.0681515i −0.999226 0.0393473i
\(4\) −0.676460 1.88213i −0.338230 0.941064i
\(5\) 1.66341 + 0.889109i 0.743898 + 0.397622i 0.799370 0.600838i \(-0.205166\pi\)
−0.0554724 + 0.998460i \(0.517666\pi\)
\(6\) 1.48676 1.94668i 0.606966 0.794727i
\(7\) −2.12405 0.422500i −0.802816 0.159690i −0.223405 0.974726i \(-0.571717\pi\)
−0.579411 + 0.815036i \(0.696717\pi\)
\(8\) 2.72758 + 0.748555i 0.964343 + 0.264654i
\(9\) 2.99071 + 0.235901i 0.996904 + 0.0786336i
\(10\) −2.38171 + 1.20098i −0.753162 + 0.379782i
\(11\) −2.38724 + 1.95916i −0.719780 + 0.590708i −0.921335 0.388769i \(-0.872900\pi\)
0.201555 + 0.979477i \(0.435400\pi\)
\(12\) 1.04249 + 3.30352i 0.300940 + 0.953643i
\(13\) −1.07693 + 0.575629i −0.298686 + 0.159651i −0.613932 0.789359i \(-0.710413\pi\)
0.315246 + 0.949010i \(0.397913\pi\)
\(14\) 2.21666 2.11344i 0.592426 0.564841i
\(15\) −2.81828 1.65215i −0.727677 0.426584i
\(16\) −3.08480 + 2.54637i −0.771201 + 0.636592i
\(17\) −3.03653 + 1.25777i −0.736466 + 0.305054i −0.719206 0.694797i \(-0.755494\pi\)
−0.0172602 + 0.999851i \(0.505494\pi\)
\(18\) −2.70582 + 3.26781i −0.637767 + 0.770230i
\(19\) 0.0115783 0.0381685i 0.00265624 0.00875645i −0.955602 0.294660i \(-0.904794\pi\)
0.958258 + 0.285903i \(0.0922937\pi\)
\(20\) 0.548189 3.73219i 0.122579 0.834543i
\(21\) 3.64732 + 0.875982i 0.795911 + 0.191155i
\(22\) −0.324388 4.35536i −0.0691598 0.928567i
\(23\) −4.68419 3.12987i −0.976720 0.652624i −0.0387171 0.999250i \(-0.512327\pi\)
−0.938003 + 0.346627i \(0.887327\pi\)
\(24\) −4.66962 1.48142i −0.953183 0.302393i
\(25\) −0.801445 1.19945i −0.160289 0.239889i
\(26\) 0.210173 1.71408i 0.0412183 0.336159i
\(27\) −5.15997 0.612097i −0.993038 0.117798i
\(28\) 0.641636 + 4.28354i 0.121258 + 0.809513i
\(29\) −2.81564 2.31074i −0.522852 0.429093i 0.335587 0.942009i \(-0.391065\pi\)
−0.858439 + 0.512916i \(0.828565\pi\)
\(30\) 4.20389 1.91622i 0.767522 0.349853i
\(31\) −0.683005 + 0.683005i −0.122671 + 0.122671i −0.765777 0.643106i \(-0.777645\pi\)
0.643106 + 0.765777i \(0.277645\pi\)
\(32\) −0.436219 5.64001i −0.0771134 0.997022i
\(33\) 4.26514 3.22804i 0.742465 0.561929i
\(34\) 1.01518 4.53590i 0.174102 0.777901i
\(35\) −3.15751 2.59130i −0.533717 0.438010i
\(36\) −1.57910 5.78847i −0.263183 0.964746i
\(37\) 1.24167 + 4.09324i 0.204129 + 0.672924i 0.997904 + 0.0647123i \(0.0206130\pi\)
−0.793775 + 0.608212i \(0.791887\pi\)
\(38\) 0.0347352 + 0.0444438i 0.00563479 + 0.00720973i
\(39\) 1.90308 0.922853i 0.304736 0.147775i
\(40\) 3.87152 + 3.67026i 0.612141 + 0.580320i
\(41\) −8.68478 5.80298i −1.35633 0.906273i −0.356724 0.934210i \(-0.616106\pi\)
−0.999610 + 0.0279362i \(0.991106\pi\)
\(42\) −3.98042 + 3.50669i −0.614192 + 0.541093i
\(43\) −0.213016 + 2.16279i −0.0324847 + 0.329822i 0.965184 + 0.261573i \(0.0842413\pi\)
−0.997668 + 0.0682491i \(0.978259\pi\)
\(44\) 5.30225 + 3.16780i 0.799345 + 0.477564i
\(45\) 4.76503 + 3.05147i 0.710328 + 0.454886i
\(46\) 7.43125 2.87263i 1.09568 0.423546i
\(47\) −3.02989 + 1.25502i −0.441955 + 0.183064i −0.592553 0.805531i \(-0.701880\pi\)
0.150598 + 0.988595i \(0.451880\pi\)
\(48\) 5.51244 4.19679i 0.795652 0.605754i
\(49\) −2.13407 0.883961i −0.304867 0.126280i
\(50\) 2.03951 + 0.0486147i 0.288431 + 0.00687515i
\(51\) 5.34107 1.96989i 0.747899 0.275840i
\(52\) 1.81191 + 1.63752i 0.251266 + 0.227084i
\(53\) −5.37932 + 4.41470i −0.738907 + 0.606405i −0.926699 0.375804i \(-0.877367\pi\)
0.187793 + 0.982209i \(0.439867\pi\)
\(54\) 4.90569 5.47122i 0.667579 0.744539i
\(55\) −5.71286 + 1.13636i −0.770321 + 0.153226i
\(56\) −5.47724 2.74237i −0.731928 0.366465i
\(57\) −0.0226399 + 0.0652695i −0.00299873 + 0.00864515i
\(58\) 4.96361 1.37742i 0.651754 0.180864i
\(59\) 10.6395 + 5.68695i 1.38515 + 0.740378i 0.984422 0.175820i \(-0.0562577\pi\)
0.400727 + 0.916198i \(0.368758\pi\)
\(60\) −1.20311 + 6.42198i −0.155321 + 0.829073i
\(61\) −0.0413613 0.419949i −0.00529578 0.0537689i 0.992174 0.124866i \(-0.0398500\pi\)
−0.997469 + 0.0710969i \(0.977350\pi\)
\(62\) −0.234494 1.34573i −0.0297807 0.170908i
\(63\) −6.25275 1.76464i −0.787773 0.222324i
\(64\) 6.87933 + 4.08348i 0.859916 + 0.510435i
\(65\) −2.30316 −0.285672
\(66\) 0.264597 + 7.55998i 0.0325697 + 0.930569i
\(67\) −11.3473 + 1.11761i −1.38629 + 0.136538i −0.763477 0.645835i \(-0.776510\pi\)
−0.622811 + 0.782372i \(0.714010\pi\)
\(68\) 4.42137 + 4.86430i 0.536170 + 0.589883i
\(69\) 7.89366 + 5.73614i 0.950285 + 0.690550i
\(70\) 5.56628 1.54466i 0.665298 0.184623i
\(71\) 5.72415 + 1.13860i 0.679331 + 0.135127i 0.522683 0.852527i \(-0.324931\pi\)
0.156648 + 0.987654i \(0.449931\pi\)
\(72\) 7.98080 + 2.88215i 0.940547 + 0.339664i
\(73\) 3.00766 + 15.1205i 0.352020 + 1.76973i 0.599044 + 0.800716i \(0.295547\pi\)
−0.247024 + 0.969009i \(0.579453\pi\)
\(74\) −5.74523 1.89343i −0.667869 0.220107i
\(75\) 1.30532 + 2.13051i 0.150726 + 0.246011i
\(76\) −0.0796702 + 0.00402764i −0.00913880 + 0.000462003i
\(77\) 5.89836 3.15274i 0.672181 0.359288i
\(78\) −0.480565 + 2.95225i −0.0544133 + 0.334276i
\(79\) 3.13967 7.57983i 0.353240 0.852797i −0.642976 0.765886i \(-0.722300\pi\)
0.996216 0.0869108i \(-0.0276995\pi\)
\(80\) −7.39528 + 1.49291i −0.826818 + 0.166913i
\(81\) 8.88870 + 1.41102i 0.987634 + 0.156780i
\(82\) 13.7780 5.32603i 1.52153 0.588162i
\(83\) 2.01121 6.63009i 0.220759 0.727746i −0.774680 0.632353i \(-0.782089\pi\)
0.995440 0.0953932i \(-0.0304108\pi\)
\(84\) −0.818557 7.45729i −0.0893119 0.813657i
\(85\) −6.16928 0.607621i −0.669152 0.0659057i
\(86\) −2.32867 2.00583i −0.251107 0.216295i
\(87\) 4.71558 + 4.19111i 0.505563 + 0.449334i
\(88\) −7.97791 + 3.55677i −0.850448 + 0.379153i
\(89\) −1.67163 2.50177i −0.177192 0.265187i 0.732233 0.681054i \(-0.238478\pi\)
−0.909425 + 0.415867i \(0.863478\pi\)
\(90\) −7.40631 + 3.02993i −0.780694 + 0.319382i
\(91\) 2.53065 0.767665i 0.265284 0.0804731i
\(92\) −2.72216 + 10.9335i −0.283804 + 1.13989i
\(93\) 1.22863 1.13554i 0.127403 0.117750i
\(94\) 1.01296 4.52598i 0.104479 0.466819i
\(95\) 0.0531954 0.0531954i 0.00545773 0.00545773i
\(96\) 0.370594 + 9.79095i 0.0378236 + 0.999284i
\(97\) −0.891426 0.891426i −0.0905106 0.0905106i 0.660402 0.750912i \(-0.270386\pi\)
−0.750912 + 0.660402i \(0.770386\pi\)
\(98\) 2.75863 1.74964i 0.278664 0.176740i
\(99\) −7.60171 + 5.29612i −0.764001 + 0.532280i
\(100\) −1.71537 + 2.31980i −0.171537 + 0.231980i
\(101\) 2.52551 + 8.32548i 0.251297 + 0.828416i 0.988299 + 0.152526i \(0.0487407\pi\)
−0.737002 + 0.675890i \(0.763759\pi\)
\(102\) −2.06611 + 7.78114i −0.204575 + 0.770448i
\(103\) −11.1786 + 7.46930i −1.10146 + 0.735972i −0.966956 0.254942i \(-0.917944\pi\)
−0.134503 + 0.990913i \(0.542944\pi\)
\(104\) −3.36829 + 0.763934i −0.330288 + 0.0749098i
\(105\) 5.28813 + 4.69998i 0.516069 + 0.458671i
\(106\) −0.730965 9.81422i −0.0709976 0.953242i
\(107\) −1.63408 + 16.5911i −0.157973 + 1.60392i 0.510293 + 0.860001i \(0.329537\pi\)
−0.668265 + 0.743923i \(0.732963\pi\)
\(108\) 2.33847 + 10.1258i 0.225019 + 0.974354i
\(109\) 18.2887 + 5.54781i 1.75174 + 0.531384i 0.992800 0.119781i \(-0.0382193\pi\)
0.758936 + 0.651165i \(0.225719\pi\)
\(110\) 3.33281 7.53316i 0.317771 0.718258i
\(111\) −1.87001 7.16883i −0.177494 0.680435i
\(112\) 7.62812 4.10528i 0.720790 0.387913i
\(113\) −11.7225 4.85560i −1.10276 0.456776i −0.244318 0.969695i \(-0.578564\pi\)
−0.858437 + 0.512919i \(0.828564\pi\)
\(114\) −0.0570876 0.0792865i −0.00534674 0.00742586i
\(115\) −5.00891 9.37101i −0.467083 0.873851i
\(116\) −2.44443 + 6.86252i −0.226960 + 0.637169i
\(117\) −3.35657 + 1.46749i −0.310315 + 0.135670i
\(118\) −15.2339 + 7.68172i −1.40240 + 0.707160i
\(119\) 6.98115 1.38864i 0.639961 0.127296i
\(120\) −6.45034 6.61601i −0.588833 0.603956i
\(121\) −0.285376 + 1.43468i −0.0259432 + 0.130425i
\(122\) 0.519452 + 0.293778i 0.0470289 + 0.0265974i
\(123\) 14.6353 + 10.6352i 1.31962 + 0.958940i
\(124\) 1.74753 + 0.823477i 0.156933 + 0.0739504i
\(125\) −1.19105 12.0929i −0.106531 1.08162i
\(126\) 7.12794 5.79778i 0.635007 0.516507i
\(127\) 12.5535i 1.11395i −0.830531 0.556973i \(-0.811963\pi\)
0.830531 0.556973i \(-0.188037\pi\)
\(128\) −10.3201 + 4.63626i −0.912179 + 0.409791i
\(129\) 0.516066 3.72864i 0.0454371 0.328289i
\(130\) 1.87361 2.66434i 0.164326 0.233678i
\(131\) 8.26431 0.813963i 0.722056 0.0711163i 0.269688 0.962948i \(-0.413079\pi\)
0.452368 + 0.891831i \(0.350579\pi\)
\(132\) −8.96077 5.84389i −0.779935 0.508646i
\(133\) −0.0407191 + 0.0761800i −0.00353079 + 0.00660564i
\(134\) 7.93804 14.0359i 0.685742 1.21252i
\(135\) −8.03891 5.60595i −0.691880 0.482483i
\(136\) −9.22387 + 1.15766i −0.790940 + 0.0992683i
\(137\) −4.27185 21.4760i −0.364969 1.83482i −0.529324 0.848420i \(-0.677554\pi\)
0.164355 0.986401i \(-0.447446\pi\)
\(138\) −13.0571 + 4.46523i −1.11149 + 0.380106i
\(139\) 5.05723 + 6.16225i 0.428948 + 0.522675i 0.941968 0.335701i \(-0.108973\pi\)
−0.513020 + 0.858377i \(0.671473\pi\)
\(140\) −2.74123 + 7.69575i −0.231676 + 0.650410i
\(141\) 5.32939 1.96558i 0.448815 0.165532i
\(142\) −5.97371 + 5.69556i −0.501303 + 0.477960i
\(143\) 1.44313 3.48403i 0.120681 0.291350i
\(144\) −9.82645 + 6.88774i −0.818871 + 0.573978i
\(145\) −2.62906 6.34711i −0.218331 0.527099i
\(146\) −19.9384 8.82113i −1.65012 0.730042i
\(147\) 3.63321 + 1.67532i 0.299662 + 0.138178i
\(148\) 6.86405 5.10589i 0.564222 0.419702i
\(149\) 13.9019 + 1.36922i 1.13889 + 0.112171i 0.649831 0.760079i \(-0.274840\pi\)
0.489061 + 0.872250i \(0.337340\pi\)
\(150\) −3.52649 0.223134i −0.287937 0.0182188i
\(151\) 8.16660 12.2222i 0.664588 0.994627i −0.334055 0.942554i \(-0.608417\pi\)
0.998643 0.0520731i \(-0.0165829\pi\)
\(152\) 0.0601518 0.0954404i 0.00487896 0.00774124i
\(153\) −9.37809 + 3.04531i −0.758173 + 0.246199i
\(154\) −1.15112 + 9.38807i −0.0927603 + 0.756512i
\(155\) −1.74338 + 0.528849i −0.140032 + 0.0424782i
\(156\) −3.02428 2.95756i −0.242136 0.236794i
\(157\) 12.4293 15.1451i 0.991963 1.20871i 0.0140063 0.999902i \(-0.495542\pi\)
0.977957 0.208808i \(-0.0669585\pi\)
\(158\) 6.21439 + 9.79816i 0.494390 + 0.779500i
\(159\) 9.61091 7.27395i 0.762195 0.576862i
\(160\) 4.28898 9.76948i 0.339073 0.772345i
\(161\) 8.62708 + 8.62708i 0.679909 + 0.679909i
\(162\) −8.86319 + 9.13476i −0.696358 + 0.717695i
\(163\) −10.8627 + 13.2362i −0.850829 + 1.03674i 0.148030 + 0.988983i \(0.452707\pi\)
−0.998859 + 0.0477554i \(0.984793\pi\)
\(164\) −5.04705 + 20.2713i −0.394108 + 1.58293i
\(165\) 9.96474 1.57737i 0.775754 0.122798i
\(166\) 6.03370 + 7.72014i 0.468306 + 0.599199i
\(167\) 19.7010 13.1638i 1.52451 1.01864i 0.540330 0.841454i \(-0.318300\pi\)
0.984177 0.177189i \(-0.0567004\pi\)
\(168\) 9.29262 + 5.11953i 0.716941 + 0.394980i
\(169\) −6.39399 + 9.56928i −0.491845 + 0.736099i
\(170\) 5.72157 6.64244i 0.438824 0.509452i
\(171\) 0.0436313 0.111420i 0.00333657 0.00852047i
\(172\) 4.21474 1.06212i 0.321371 0.0809856i
\(173\) 16.2027 + 4.91504i 1.23187 + 0.373684i 0.838096 0.545523i \(-0.183669\pi\)
0.393775 + 0.919207i \(0.371169\pi\)
\(174\) −8.68444 + 2.04564i −0.658366 + 0.155079i
\(175\) 1.19554 + 2.88630i 0.0903746 + 0.218184i
\(176\) 2.37544 12.1224i 0.179055 0.913761i
\(177\) −18.0264 10.5676i −1.35494 0.794306i
\(178\) 4.25395 + 0.101399i 0.318847 + 0.00760016i
\(179\) 3.18728 + 5.96298i 0.238228 + 0.445694i 0.972416 0.233253i \(-0.0749369\pi\)
−0.734188 + 0.678946i \(0.762437\pi\)
\(180\) 2.51990 11.0326i 0.187822 0.822320i
\(181\) −13.8486 16.8745i −1.02936 1.25427i −0.966612 0.256245i \(-0.917515\pi\)
−0.0627449 0.998030i \(-0.519985\pi\)
\(182\) −1.17062 + 3.55199i −0.0867719 + 0.263291i
\(183\) 0.0429643 + 0.729628i 0.00317601 + 0.0539356i
\(184\) −10.4336 12.0433i −0.769174 0.887846i
\(185\) −1.57393 + 7.91270i −0.115718 + 0.581753i
\(186\) 0.314127 + 2.34505i 0.0230329 + 0.171948i
\(187\) 4.78475 8.95164i 0.349896 0.654609i
\(188\) 4.41171 + 4.85366i 0.321757 + 0.353990i
\(189\) 10.7014 + 3.48021i 0.778415 + 0.253148i
\(190\) 0.0182634 + 0.104811i 0.00132496 + 0.00760382i
\(191\) 12.8785i 0.931856i −0.884823 0.465928i \(-0.845721\pi\)
0.884823 0.465928i \(-0.154279\pi\)
\(192\) −11.6278 7.53615i −0.839166 0.543875i
\(193\) 4.15368i 0.298988i 0.988763 + 0.149494i \(0.0477645\pi\)
−0.988763 + 0.149494i \(0.952235\pi\)
\(194\) 1.75639 0.306050i 0.126101 0.0219731i
\(195\) 3.98611 + 0.156964i 0.285451 + 0.0112404i
\(196\) −0.220114 + 4.61455i −0.0157224 + 0.329611i
\(197\) −4.57069 + 8.55117i −0.325649 + 0.609246i −0.990466 0.137761i \(-0.956009\pi\)
0.664817 + 0.747006i \(0.268509\pi\)
\(198\) 0.0572827 13.1022i 0.00407090 0.931130i
\(199\) −2.31964 + 11.6616i −0.164435 + 0.826671i 0.807217 + 0.590255i \(0.200973\pi\)
−0.971652 + 0.236416i \(0.924027\pi\)
\(200\) −1.28815 3.87151i −0.0910859 0.273757i
\(201\) 19.7150 1.16092i 1.39059 0.0818851i
\(202\) −11.6856 3.85116i −0.822193 0.270967i
\(203\) 5.00428 + 6.09773i 0.351232 + 0.427977i
\(204\) −7.32061 8.72002i −0.512545 0.610523i
\(205\) −9.28683 17.3744i −0.648620 1.21348i
\(206\) 0.453078 19.0078i 0.0315675 1.32434i
\(207\) −13.2707 10.4655i −0.922378 0.727406i
\(208\) 1.85635 4.51795i 0.128714 0.313264i
\(209\) 0.0471379 + 0.113801i 0.00326060 + 0.00787178i
\(210\) −9.73889 + 2.29401i −0.672047 + 0.158302i
\(211\) −23.1268 7.01545i −1.59212 0.482963i −0.634963 0.772543i \(-0.718985\pi\)
−0.957154 + 0.289579i \(0.906485\pi\)
\(212\) 11.9479 + 7.13820i 0.820586 + 0.490254i
\(213\) −9.82924 2.36070i −0.673488 0.161753i
\(214\) −17.8636 15.3871i −1.22113 1.05184i
\(215\) −2.27729 + 3.40820i −0.155310 + 0.232438i
\(216\) −13.6160 5.53206i −0.926453 0.376409i
\(217\) 1.73931 1.16217i 0.118072 0.0788931i
\(218\) −21.2955 + 16.6436i −1.44231 + 1.12725i
\(219\) −4.17490 26.3742i −0.282114 1.78221i
\(220\) 6.00329 + 9.98362i 0.404742 + 0.673096i
\(221\) 2.54611 3.10244i 0.171270 0.208693i
\(222\) 9.81428 + 3.66853i 0.658691 + 0.246215i
\(223\) 20.1109 + 20.1109i 1.34673 + 1.34673i 0.889190 + 0.457538i \(0.151269\pi\)
0.457538 + 0.889190i \(0.348731\pi\)
\(224\) −1.45635 + 12.1640i −0.0973066 + 0.812740i
\(225\) −2.11394 3.77626i −0.140929 0.251751i
\(226\) 15.1532 9.61076i 1.00797 0.639298i
\(227\) −17.4616 + 21.2771i −1.15897 + 1.41221i −0.264902 + 0.964275i \(0.585340\pi\)
−0.894067 + 0.447933i \(0.852160\pi\)
\(228\) 0.138160 0.00154104i 0.00914990 0.000102058i
\(229\) −24.0845 + 7.30596i −1.59155 + 0.482791i −0.956999 0.290090i \(-0.906315\pi\)
−0.634550 + 0.772882i \(0.718815\pi\)
\(230\) 14.9153 + 1.82885i 0.983483 + 0.120590i
\(231\) −10.4232 + 5.05450i −0.685797 + 0.332561i
\(232\) −5.95016 8.41037i −0.390647 0.552168i
\(233\) −9.02661 + 13.5093i −0.591353 + 0.885022i −0.999612 0.0278437i \(-0.991136\pi\)
0.408259 + 0.912866i \(0.366136\pi\)
\(234\) 1.03292 5.07674i 0.0675241 0.331877i
\(235\) −6.15579 0.606292i −0.401559 0.0395501i
\(236\) 3.50634 23.8719i 0.228244 1.55393i
\(237\) −5.95043 + 12.9045i −0.386522 + 0.838238i
\(238\) −4.07271 + 9.20557i −0.263995 + 0.596709i
\(239\) 0.996045 + 2.40467i 0.0644288 + 0.155545i 0.952815 0.303553i \(-0.0981728\pi\)
−0.888386 + 0.459098i \(0.848173\pi\)
\(240\) 12.9008 2.07980i 0.832745 0.134251i
\(241\) −3.71504 + 8.96891i −0.239307 + 0.577738i −0.997211 0.0746273i \(-0.976223\pi\)
0.757904 + 0.652366i \(0.226223\pi\)
\(242\) −1.42751 1.49723i −0.0917641 0.0962455i
\(243\) −15.2876 3.04785i −0.980700 0.195519i
\(244\) −0.762417 + 0.361926i −0.0488088 + 0.0231699i
\(245\) −2.76389 3.36781i −0.176578 0.215161i
\(246\) −24.2087 + 8.27882i −1.54349 + 0.527838i
\(247\) 0.00950194 + 0.0477695i 0.000604594 + 0.00303950i
\(248\) −2.37421 + 1.35168i −0.150763 + 0.0858318i
\(249\) −3.93268 + 11.3377i −0.249223 + 0.718497i
\(250\) 14.9582 + 8.45967i 0.946041 + 0.535036i
\(251\) 1.36532 2.55434i 0.0861784 0.161228i −0.835140 0.550037i \(-0.814613\pi\)
0.921318 + 0.388809i \(0.127113\pi\)
\(252\) 0.908459 + 12.9622i 0.0572275 + 0.816541i
\(253\) 17.3142 1.70530i 1.08853 0.107211i
\(254\) 14.5222 + 10.2122i 0.911201 + 0.640770i
\(255\) 10.6358 + 1.47206i 0.666041 + 0.0921840i
\(256\) 3.03204 15.7101i 0.189502 0.981880i
\(257\) 0.419568i 0.0261719i −0.999914 0.0130860i \(-0.995834\pi\)
0.999914 0.0130860i \(-0.00416551\pi\)
\(258\) 3.89355 + 3.63022i 0.242402 + 0.226008i
\(259\) −0.907978 9.21885i −0.0564190 0.572832i
\(260\) 1.55800 + 4.33485i 0.0966230 + 0.268836i
\(261\) −7.87567 7.57496i −0.487492 0.468878i
\(262\) −5.78134 + 10.2225i −0.357173 + 0.631546i
\(263\) 2.80129 14.0830i 0.172735 0.868398i −0.793070 0.609130i \(-0.791519\pi\)
0.965805 0.259268i \(-0.0834812\pi\)
\(264\) 14.0498 5.61203i 0.864708 0.345396i
\(265\) −12.8731 + 2.56063i −0.790791 + 0.157298i
\(266\) −0.0550018 0.109076i −0.00337238 0.00668790i
\(267\) 2.72260 + 4.44376i 0.166621 + 0.271953i
\(268\) 9.77944 + 20.6010i 0.597375 + 1.25840i
\(269\) −1.84959 3.46034i −0.112771 0.210981i 0.819204 0.573503i \(-0.194416\pi\)
−0.931975 + 0.362522i \(0.881916\pi\)
\(270\) 13.0247 4.73917i 0.792656 0.288417i
\(271\) 2.00398 + 0.830077i 0.121733 + 0.0504236i 0.442719 0.896661i \(-0.354014\pi\)
−0.320985 + 0.947084i \(0.604014\pi\)
\(272\) 6.16435 11.6121i 0.373769 0.704087i
\(273\) −4.43214 + 1.15614i −0.268245 + 0.0699726i
\(274\) 28.3190 + 12.5288i 1.71081 + 0.756895i
\(275\) 4.26315 + 1.29321i 0.257077 + 0.0779836i
\(276\) 5.45639 18.7371i 0.328436 1.12784i
\(277\) 0.495659 5.03251i 0.0297812 0.302374i −0.968743 0.248066i \(-0.920205\pi\)
0.998524 0.0543076i \(-0.0172951\pi\)
\(278\) −11.2426 + 0.837352i −0.674288 + 0.0502210i
\(279\) −2.20379 + 1.88155i −0.131938 + 0.112645i
\(280\) −6.67262 9.43154i −0.398765 0.563643i
\(281\) −14.9390 + 9.98189i −0.891183 + 0.595470i −0.914646 0.404255i \(-0.867531\pi\)
0.0234629 + 0.999725i \(0.492531\pi\)
\(282\) −2.06159 + 7.76412i −0.122766 + 0.462347i
\(283\) 2.97298 + 9.80062i 0.176726 + 0.582586i 0.999891 + 0.0147841i \(0.00470610\pi\)
−0.823165 + 0.567802i \(0.807794\pi\)
\(284\) −1.72916 11.5438i −0.102607 0.684998i
\(285\) −0.0956910 + 0.0884404i −0.00566825 + 0.00523876i
\(286\) 2.85642 + 4.50368i 0.168904 + 0.266308i
\(287\) 15.9951 + 15.9951i 0.944164 + 0.944164i
\(288\) 0.0258766 16.9705i 0.00152479 0.999999i
\(289\) −4.38230 + 4.38230i −0.257782 + 0.257782i
\(290\) 9.48118 + 2.12198i 0.556754 + 0.124607i
\(291\) 1.48205 + 1.60355i 0.0868791 + 0.0940018i
\(292\) 26.4242 15.8892i 1.54636 0.929847i
\(293\) −6.04238 + 1.83294i −0.353000 + 0.107081i −0.461804 0.886982i \(-0.652798\pi\)
0.108805 + 0.994063i \(0.465298\pi\)
\(294\) −4.89363 + 2.84011i −0.285402 + 0.165639i
\(295\) 12.6415 + 18.9194i 0.736019 + 1.10153i
\(296\) 0.322735 + 12.0941i 0.0187586 + 0.702954i
\(297\) 13.5173 8.64798i 0.784353 0.501807i
\(298\) −12.8931 + 14.9682i −0.746875 + 0.867083i
\(299\) 6.84617 + 0.674289i 0.395924 + 0.0389951i
\(300\) 3.12690 3.89799i 0.180532 0.225051i
\(301\) 1.36624 4.50388i 0.0787485 0.259599i
\(302\) 7.49538 + 19.3899i 0.431311 + 1.11576i
\(303\) −3.80352 14.5811i −0.218507 0.837662i
\(304\) 0.0614742 + 0.147225i 0.00352579 + 0.00844393i
\(305\) 0.304580 0.735320i 0.0174402 0.0421043i
\(306\) 4.10613 13.3261i 0.234732 0.761802i
\(307\) 2.43131 1.29956i 0.138762 0.0741699i −0.400555 0.916273i \(-0.631183\pi\)
0.539317 + 0.842103i \(0.318683\pi\)
\(308\) −9.92387 8.96877i −0.565465 0.511043i
\(309\) 19.8559 12.1653i 1.12956 0.692062i
\(310\) 0.806445 2.44699i 0.0458030 0.138980i
\(311\) 3.97596 + 19.9885i 0.225456 + 1.13344i 0.913207 + 0.407497i \(0.133598\pi\)
−0.687750 + 0.725947i \(0.741402\pi\)
\(312\) 5.88159 1.09259i 0.332980 0.0618559i
\(313\) 16.8501 + 3.35169i 0.952424 + 0.189449i 0.646763 0.762691i \(-0.276122\pi\)
0.305662 + 0.952140i \(0.401122\pi\)
\(314\) 7.40902 + 26.6988i 0.418115 + 1.50670i
\(315\) −8.83191 8.49470i −0.497622 0.478622i
\(316\) −16.3901 0.781804i −0.922013 0.0439799i
\(317\) −16.0048 + 1.57634i −0.898921 + 0.0885360i −0.536911 0.843639i \(-0.680409\pi\)
−0.362009 + 0.932175i \(0.617909\pi\)
\(318\) 0.596234 + 17.0354i 0.0334351 + 0.955297i
\(319\) 11.2487 0.629807
\(320\) 7.81247 + 12.9090i 0.436730 + 0.721633i
\(321\) 3.95883 28.6030i 0.220960 1.59647i
\(322\) −16.9980 + 2.96190i −0.947263 + 0.165060i
\(323\) 0.0128494 + 0.130463i 0.000714962 + 0.00725913i
\(324\) −3.35713 17.6842i −0.186507 0.982454i
\(325\) 1.55353 + 0.830382i 0.0861746 + 0.0460613i
\(326\) −6.47518 23.3337i −0.358627 1.29233i
\(327\) −31.2743 10.8480i −1.72947 0.599898i
\(328\) −19.3445 22.3291i −1.06812 1.23292i
\(329\) 6.96588 1.38560i 0.384042 0.0763906i
\(330\) −6.28151 + 12.8106i −0.345786 + 0.705199i
\(331\) 6.52504 5.35496i 0.358649 0.294335i −0.437763 0.899090i \(-0.644229\pi\)
0.796411 + 0.604755i \(0.206729\pi\)
\(332\) −13.8392 + 0.699625i −0.759523 + 0.0383969i
\(333\) 2.74788 + 12.5346i 0.150583 + 0.686892i
\(334\) −0.798498 + 33.4991i −0.0436918 + 1.83299i
\(335\) −19.8688 8.22992i −1.08555 0.449649i
\(336\) −13.4818 + 6.58518i −0.735495 + 0.359251i
\(337\) −4.14534 + 1.71706i −0.225811 + 0.0935340i −0.492721 0.870188i \(-0.663997\pi\)
0.266910 + 0.963722i \(0.413997\pi\)
\(338\) −5.86846 15.1812i −0.319202 0.825750i
\(339\) 19.9572 + 9.20253i 1.08393 + 0.499813i
\(340\) 3.02965 + 12.0224i 0.164306 + 0.652006i
\(341\) 0.292383 2.96861i 0.0158334 0.160759i
\(342\) 0.0933986 + 0.141112i 0.00505042 + 0.00763049i
\(343\) 16.7642 + 11.2015i 0.905181 + 0.604823i
\(344\) −2.19998 + 5.73972i −0.118615 + 0.309465i
\(345\) 8.03031 + 16.5599i 0.432338 + 0.891552i
\(346\) −18.8666 + 14.7453i −1.01428 + 0.792711i
\(347\) −4.14308 13.6579i −0.222412 0.733194i −0.995141 0.0984583i \(-0.968609\pi\)
0.772729 0.634736i \(-0.218891\pi\)
\(348\) 4.69829 11.7104i 0.251855 0.627745i
\(349\) −9.27169 7.60908i −0.496302 0.407305i 0.352666 0.935749i \(-0.385275\pi\)
−0.848968 + 0.528445i \(0.822775\pi\)
\(350\) −4.31149 0.964954i −0.230459 0.0515790i
\(351\) 5.90926 2.31105i 0.315413 0.123355i
\(352\) 12.0910 + 12.6094i 0.644454 + 0.672085i
\(353\) 14.5406 14.5406i 0.773917 0.773917i −0.204872 0.978789i \(-0.565678\pi\)
0.978789 + 0.204872i \(0.0656778\pi\)
\(354\) 26.8891 12.2566i 1.42914 0.651432i
\(355\) 8.50924 + 6.98335i 0.451624 + 0.370638i
\(356\) −3.57785 + 4.83856i −0.189626 + 0.256443i
\(357\) −12.1770 + 1.92755i −0.644474 + 0.102017i
\(358\) −9.49091 1.16373i −0.501610 0.0615053i
\(359\) 4.97470 + 7.44517i 0.262555 + 0.392941i 0.939201 0.343367i \(-0.111567\pi\)
−0.676646 + 0.736308i \(0.736567\pi\)
\(360\) 10.7128 + 11.8900i 0.564613 + 0.626658i
\(361\) 15.7966 + 10.5550i 0.831400 + 0.555524i
\(362\) 30.7865 2.29298i 1.61810 0.120517i
\(363\) 0.591678 2.46357i 0.0310550 0.129304i
\(364\) −3.15673 4.24371i −0.165457 0.222431i
\(365\) −8.44085 + 27.8257i −0.441814 + 1.45647i
\(366\) −0.878999 0.543845i −0.0459460 0.0284272i
\(367\) 5.66461 2.34636i 0.295690 0.122479i −0.229907 0.973213i \(-0.573842\pi\)
0.525597 + 0.850734i \(0.323842\pi\)
\(368\) 22.4196 2.27261i 1.16870 0.118468i
\(369\) −24.6047 19.4038i −1.28087 1.01012i
\(370\) −7.87318 8.25768i −0.409307 0.429296i
\(371\) 13.2912 7.10428i 0.690043 0.368836i
\(372\) −2.96834 1.54430i −0.153901 0.0800680i
\(373\) −1.68124 + 1.37976i −0.0870513 + 0.0714412i −0.676912 0.736064i \(-0.736682\pi\)
0.589861 + 0.807505i \(0.299182\pi\)
\(374\) 6.46307 + 12.8172i 0.334197 + 0.662761i
\(375\) 1.23721 + 21.0105i 0.0638892 + 1.08498i
\(376\) −9.20370 + 1.15513i −0.474645 + 0.0595711i
\(377\) 4.36237 + 0.867729i 0.224673 + 0.0446903i
\(378\) −12.7315 + 9.54850i −0.654839 + 0.491122i
\(379\) −6.27160 3.35224i −0.322151 0.172193i 0.302392 0.953184i \(-0.402215\pi\)
−0.624543 + 0.780990i \(0.714715\pi\)
\(380\) −0.136105 0.0641359i −0.00698204 0.00329010i
\(381\) −0.855541 + 21.7265i −0.0438307 + 1.11308i
\(382\) 14.8981 + 10.4766i 0.762253 + 0.536028i
\(383\) 10.5429 0.538718 0.269359 0.963040i \(-0.413188\pi\)
0.269359 + 0.963040i \(0.413188\pi\)
\(384\) 18.1771 7.32069i 0.927597 0.373582i
\(385\) 12.6145 0.642895
\(386\) −4.80506 3.37899i −0.244571 0.171986i
\(387\) −1.14727 + 6.41803i −0.0583192 + 0.326247i
\(388\) −1.07476 + 2.28079i −0.0545628 + 0.115790i
\(389\) −25.2276 13.4844i −1.27909 0.683689i −0.314958 0.949106i \(-0.601990\pi\)
−0.964134 + 0.265417i \(0.914490\pi\)
\(390\) −3.42425 + 4.48352i −0.173394 + 0.227032i
\(391\) 18.1603 + 3.61231i 0.918407 + 0.182683i
\(392\) −5.15914 4.00854i −0.260576 0.202462i
\(393\) −14.3586 + 0.845509i −0.724295 + 0.0426503i
\(394\) −6.17393 12.2438i −0.311038 0.616833i
\(395\) 11.9618 9.81683i 0.601865 0.493938i
\(396\) 15.1102 + 10.7248i 0.759317 + 0.538940i
\(397\) −19.1543 + 10.2382i −0.961328 + 0.513841i −0.875894 0.482503i \(-0.839728\pi\)
−0.0854340 + 0.996344i \(0.527228\pi\)
\(398\) −11.6034 12.1700i −0.581625 0.610029i
\(399\) 0.0756646 0.129070i 0.00378797 0.00646160i
\(400\) 5.52653 + 1.65929i 0.276327 + 0.0829644i
\(401\) −9.83341 + 4.07313i −0.491057 + 0.203403i −0.614451 0.788955i \(-0.710622\pi\)
0.123393 + 0.992358i \(0.460622\pi\)
\(402\) −14.6950 + 23.7511i −0.732921 + 1.18460i
\(403\) 0.342389 1.12870i 0.0170556 0.0562248i
\(404\) 13.9612 10.3852i 0.694596 0.516682i
\(405\) 13.5310 + 10.2501i 0.672359 + 0.509333i
\(406\) −11.1249 + 0.828586i −0.552120 + 0.0411220i
\(407\) −10.9835 7.33892i −0.544430 0.363777i
\(408\) 16.0427 1.37495i 0.794234 0.0680701i
\(409\) 0.449547 + 0.672795i 0.0222287 + 0.0332676i 0.842418 0.538825i \(-0.181132\pi\)
−0.820189 + 0.572093i \(0.806132\pi\)
\(410\) 27.6538 + 3.39079i 1.36573 + 0.167459i
\(411\) 5.92971 + 37.4599i 0.292491 + 1.84776i
\(412\) 21.6200 + 15.9869i 1.06514 + 0.787616i
\(413\) −20.1962 16.5746i −0.993789 0.815581i
\(414\) 22.9024 6.83816i 1.12559 0.336077i
\(415\) 9.24034 9.24034i 0.453590 0.453590i
\(416\) 3.71633 + 5.82278i 0.182208 + 0.285485i
\(417\) −8.33263 11.0097i −0.408050 0.539148i
\(418\) −0.169994 0.0380462i −0.00831466 0.00186090i
\(419\) −5.85880 4.80820i −0.286221 0.234896i 0.480316 0.877095i \(-0.340522\pi\)
−0.766537 + 0.642200i \(0.778022\pi\)
\(420\) 5.26875 13.1323i 0.257089 0.640790i
\(421\) 0.467083 + 1.53977i 0.0227642 + 0.0750436i 0.967587 0.252540i \(-0.0812658\pi\)
−0.944822 + 0.327583i \(0.893766\pi\)
\(422\) 26.9291 21.0465i 1.31089 1.02453i
\(423\) −9.35758 + 3.03865i −0.454981 + 0.147744i
\(424\) −17.9771 + 8.01470i −0.873048 + 0.389228i
\(425\) 3.94224 + 2.63412i 0.191227 + 0.127774i
\(426\) 10.7269 9.45024i 0.519721 0.457865i
\(427\) −0.0895747 + 0.909468i −0.00433483 + 0.0440122i
\(428\) 32.3320 8.14767i 1.56283 0.393833i
\(429\) −2.73509 + 5.93150i −0.132051 + 0.286376i
\(430\) −2.09012 5.40696i −0.100794 0.260747i
\(431\) −12.5235 + 5.18742i −0.603238 + 0.249869i −0.663334 0.748323i \(-0.730859\pi\)
0.0600962 + 0.998193i \(0.480859\pi\)
\(432\) 17.4761 11.2510i 0.840821 0.541313i
\(433\) −17.3936 7.20467i −0.835883 0.346234i −0.0766543 0.997058i \(-0.524424\pi\)
−0.759229 + 0.650824i \(0.774424\pi\)
\(434\) −0.0704957 + 2.95748i −0.00338390 + 0.141964i
\(435\) 4.11757 + 11.1642i 0.197423 + 0.535281i
\(436\) −1.92987 38.1745i −0.0924241 1.82823i
\(437\) −0.173697 + 0.142550i −0.00830907 + 0.00681908i
\(438\) 33.9065 + 16.6256i 1.62011 + 0.794404i
\(439\) −11.0282 + 2.19365i −0.526348 + 0.104697i −0.451110 0.892468i \(-0.648972\pi\)
−0.0752384 + 0.997166i \(0.523972\pi\)
\(440\) −16.4329 1.17689i −0.783406 0.0561058i
\(441\) −6.17386 3.14710i −0.293993 0.149862i
\(442\) 1.51772 + 5.46920i 0.0721908 + 0.260143i
\(443\) −13.6504 7.29630i −0.648551 0.346658i 0.114099 0.993469i \(-0.463602\pi\)
−0.762650 + 0.646812i \(0.776102\pi\)
\(444\) −12.2277 + 8.36902i −0.580299 + 0.397176i
\(445\) −0.556251 5.64772i −0.0263688 0.267727i
\(446\) −39.6248 + 6.90461i −1.87629 + 0.326943i
\(447\) −23.9669 3.31716i −1.13360 0.156896i
\(448\) −12.8868 11.5800i −0.608843 0.547105i
\(449\) 0.607048 0.0286484 0.0143242 0.999897i \(-0.495440\pi\)
0.0143242 + 0.999897i \(0.495440\pi\)
\(450\) 6.08812 + 0.626515i 0.286997 + 0.0295342i
\(451\) 32.1016 3.16173i 1.51161 0.148880i
\(452\) −1.20909 + 25.3478i −0.0568706 + 1.19226i
\(453\) −14.9670 + 20.5965i −0.703209 + 0.967707i
\(454\) −10.4088 37.5087i −0.488509 1.76037i
\(455\) 4.89204 + 0.973087i 0.229342 + 0.0456190i
\(456\) −0.110610 + 0.161080i −0.00517978 + 0.00754327i
\(457\) −3.63099 18.2542i −0.169851 0.853897i −0.967906 0.251313i \(-0.919138\pi\)
0.798055 0.602584i \(-0.205862\pi\)
\(458\) 11.1409 33.8048i 0.520580 1.57959i
\(459\) 16.4383 4.63142i 0.767274 0.216176i
\(460\) −14.2491 + 15.7665i −0.664368 + 0.735117i
\(461\) 18.3993 9.83462i 0.856940 0.458044i 0.0164458 0.999865i \(-0.494765\pi\)
0.840494 + 0.541821i \(0.182265\pi\)
\(462\) 2.63207 16.1696i 0.122455 0.752277i
\(463\) 4.13121 9.97363i 0.191994 0.463514i −0.798342 0.602204i \(-0.794289\pi\)
0.990336 + 0.138690i \(0.0442893\pi\)
\(464\) 14.5697 0.0414827i 0.676381 0.00192579i
\(465\) 3.05333 0.796470i 0.141595 0.0369354i
\(466\) −8.28471 21.4319i −0.383782 0.992811i
\(467\) 6.87505 22.6640i 0.318139 1.04876i −0.641404 0.767203i \(-0.721648\pi\)
0.959543 0.281561i \(-0.0908523\pi\)
\(468\) 5.03259 + 5.32479i 0.232632 + 0.246138i
\(469\) 24.5744 + 2.42036i 1.13474 + 0.111762i
\(470\) 5.70906 6.62792i 0.263339 0.305723i
\(471\) −22.5436 + 25.3647i −1.03875 + 1.16874i
\(472\) 24.7631 + 23.4759i 1.13982 + 1.08056i
\(473\) −3.72872 5.58043i −0.171447 0.256588i
\(474\) −10.0875 17.3813i −0.463336 0.798349i
\(475\) −0.0550604 + 0.0167024i −0.00252635 + 0.000766359i
\(476\) −7.33606 12.2001i −0.336248 0.559189i
\(477\) −17.1294 + 11.9341i −0.784303 + 0.546425i
\(478\) −3.59204 0.803934i −0.164296 0.0367711i
\(479\) −17.2912 + 17.2912i −0.790056 + 0.790056i −0.981503 0.191447i \(-0.938682\pi\)
0.191447 + 0.981503i \(0.438682\pi\)
\(480\) −8.08877 + 16.6158i −0.369200 + 0.758405i
\(481\) −3.69338 3.69338i −0.168403 0.168403i
\(482\) −7.35324 11.5938i −0.334931 0.528082i
\(483\) −14.3430 15.5189i −0.652630 0.706135i
\(484\) 2.89329 0.433390i 0.131513 0.0196996i
\(485\) −0.690228 2.27538i −0.0313417 0.103320i
\(486\) 15.9622 15.2056i 0.724058 0.689739i
\(487\) 10.1440 6.77800i 0.459668 0.307141i −0.304089 0.952643i \(-0.598352\pi\)
0.763758 + 0.645503i \(0.223352\pi\)
\(488\) 0.201538 1.17640i 0.00912322 0.0532532i
\(489\) 19.7022 22.1677i 0.890963 1.00246i
\(490\) 6.14435 0.457632i 0.277573 0.0206737i
\(491\) −2.60952 + 26.4949i −0.117766 + 1.19570i 0.736711 + 0.676208i \(0.236378\pi\)
−0.854477 + 0.519490i \(0.826122\pi\)
\(492\) 10.1165 34.7398i 0.456087 1.56619i
\(493\) 11.4562 + 3.47519i 0.515959 + 0.156515i
\(494\) −0.0629904 0.0278681i −0.00283407 0.00125384i
\(495\) −17.3536 + 2.05085i −0.779985 + 0.0921789i
\(496\) 0.367756 3.84612i 0.0165127 0.172696i
\(497\) −11.6773 4.83690i −0.523799 0.216965i
\(498\) −9.91644 13.7725i −0.444366 0.617161i
\(499\) −9.67251 18.0960i −0.433001 0.810088i 0.566905 0.823783i \(-0.308141\pi\)
−0.999906 + 0.0136953i \(0.995641\pi\)
\(500\) −21.9547 + 10.4221i −0.981844 + 0.466089i
\(501\) −34.9938 + 21.4400i −1.56341 + 0.957869i
\(502\) 1.84423 + 3.65737i 0.0823119 + 0.163236i
\(503\) 19.2448 3.82803i 0.858083 0.170683i 0.253607 0.967307i \(-0.418383\pi\)
0.604475 + 0.796624i \(0.293383\pi\)
\(504\) −15.7339 9.49372i −0.700845 0.422884i
\(505\) −3.20132 + 16.0941i −0.142457 + 0.716178i
\(506\) −12.1122 + 21.4166i −0.538455 + 0.952085i
\(507\) 11.7183 16.1259i 0.520428 0.716176i
\(508\) −23.6273 + 8.49195i −1.04829 + 0.376770i
\(509\) −3.13586 31.8389i −0.138994 1.41123i −0.771279 0.636497i \(-0.780383\pi\)
0.632285 0.774736i \(-0.282117\pi\)
\(510\) −10.3551 + 11.1062i −0.458530 + 0.491791i
\(511\) 33.3875i 1.47698i
\(512\) 15.7072 + 16.2876i 0.694166 + 0.719815i
\(513\) −0.0831065 + 0.189861i −0.00366924 + 0.00838259i
\(514\) 0.485364 + 0.341316i 0.0214085 + 0.0150548i
\(515\) −25.2356 + 2.48549i −1.11201 + 0.109524i
\(516\) −7.36688 + 1.55097i −0.324309 + 0.0682778i
\(517\) 4.77429 8.93206i 0.209973 0.392832i
\(518\) 11.4032 + 6.44910i 0.501027 + 0.283357i
\(519\) −27.7072 9.61075i −1.21621 0.421865i
\(520\) −6.28205 1.72405i −0.275486 0.0756044i
\(521\) −1.52186 7.65092i −0.0666740 0.335193i 0.933023 0.359817i \(-0.117161\pi\)
−0.999697 + 0.0246244i \(0.992161\pi\)
\(522\) 15.1697 2.94855i 0.663958 0.129054i
\(523\) 16.3659 + 19.9419i 0.715629 + 0.871997i 0.996133 0.0878562i \(-0.0280016\pi\)
−0.280504 + 0.959853i \(0.590502\pi\)
\(524\) −7.12245 15.0039i −0.311146 0.655447i
\(525\) −1.87243 5.07682i −0.0817197 0.221571i
\(526\) 14.0127 + 14.6970i 0.610983 + 0.640821i
\(527\) 1.21490 2.93303i 0.0529219 0.127765i
\(528\) −4.93735 + 20.8185i −0.214871 + 0.906008i
\(529\) 3.34377 + 8.07259i 0.145382 + 0.350982i
\(530\) 7.51003 16.9750i 0.326215 0.737345i
\(531\) 30.4782 + 19.5179i 1.32264 + 0.847004i
\(532\) 0.170925 + 0.0251057i 0.00741055 + 0.00108847i
\(533\) 12.6932 + 1.25017i 0.549805 + 0.0541511i
\(534\) −7.35544 0.465405i −0.318301 0.0201400i
\(535\) −17.4695 + 26.1449i −0.755271 + 1.13034i
\(536\) −31.7871 5.44569i −1.37299 0.235218i
\(537\) −5.10987 10.5374i −0.220507 0.454722i
\(538\) 5.50761 + 0.675320i 0.237450 + 0.0291151i
\(539\) 6.82636 2.07075i 0.294032 0.0891936i
\(540\) −5.11310 + 18.9225i −0.220033 + 0.814293i
\(541\) 3.04038 3.70472i 0.130716 0.159278i −0.703539 0.710657i \(-0.748398\pi\)
0.834255 + 0.551378i \(0.185898\pi\)
\(542\) −2.59047 + 1.64298i −0.111270 + 0.0705722i
\(543\) 22.8178 + 30.1487i 0.979207 + 1.29381i
\(544\) 8.41844 + 16.5774i 0.360937 + 0.710750i
\(545\) 25.4889 + 25.4889i 1.09182 + 1.09182i
\(546\) 2.26807 6.06769i 0.0970645 0.259673i
\(547\) −14.3611 + 17.4990i −0.614036 + 0.748205i −0.983474 0.181050i \(-0.942050\pi\)
0.369438 + 0.929256i \(0.379550\pi\)
\(548\) −37.5309 + 22.5678i −1.60324 + 0.964050i
\(549\) −0.0246336 1.26570i −0.00105134 0.0540188i
\(550\) −4.96405 + 3.87967i −0.211668 + 0.165430i
\(551\) −0.120798 + 0.0807144i −0.00514615 + 0.00343855i
\(552\) 17.2367 + 21.5546i 0.733644 + 0.917424i
\(553\) −9.87129 + 14.7734i −0.419770 + 0.628230i
\(554\) 5.41848 + 4.66729i 0.230209 + 0.198294i
\(555\) 3.26328 13.5873i 0.138519 0.576750i
\(556\) 8.17713 13.6869i 0.346787 0.580452i
\(557\) −16.3648 4.96422i −0.693400 0.210341i −0.0761370 0.997097i \(-0.524259\pi\)
−0.617263 + 0.786757i \(0.711759\pi\)
\(558\) −0.383843 4.08001i −0.0162494 0.172721i
\(559\) −1.01556 2.45178i −0.0429537 0.103699i
\(560\) 16.3387 0.0465195i 0.690437 0.00196581i
\(561\) −8.89108 + 15.1666i −0.375382 + 0.640334i
\(562\) 0.605489 25.4019i 0.0255410 1.07151i
\(563\) −1.18649 2.21978i −0.0500048 0.0935524i 0.855678 0.517509i \(-0.173141\pi\)
−0.905682 + 0.423957i \(0.860641\pi\)
\(564\) −7.30460 8.70095i −0.307579 0.366376i
\(565\) −15.1820 18.4994i −0.638714 0.778275i
\(566\) −13.7560 4.53352i −0.578209 0.190558i
\(567\) −18.2839 6.75256i −0.767852 0.283581i
\(568\) 14.7607 + 7.39047i 0.619347 + 0.310097i
\(569\) −4.08400 + 20.5316i −0.171210 + 0.860731i 0.795715 + 0.605671i \(0.207095\pi\)
−0.966925 + 0.255060i \(0.917905\pi\)
\(570\) −0.0244655 0.182643i −0.00102475 0.00765006i
\(571\) 4.84449 9.06339i 0.202735 0.379291i −0.759922 0.650014i \(-0.774763\pi\)
0.962657 + 0.270723i \(0.0872628\pi\)
\(572\) −7.53362 0.359353i −0.314996 0.0150253i
\(573\) −0.877689 + 22.2890i −0.0366660 + 0.931134i
\(574\) −31.5154 + 5.49156i −1.31543 + 0.229213i
\(575\) 8.12685i 0.338913i
\(576\) 19.6108 + 13.8353i 0.817116 + 0.576473i
\(577\) 42.6955i 1.77744i −0.458455 0.888718i \(-0.651597\pi\)
0.458455 0.888718i \(-0.348403\pi\)
\(578\) −1.50456 8.63449i −0.0625814 0.359147i
\(579\) 0.283079 7.18881i 0.0117644 0.298757i
\(580\) −10.1676 + 9.24179i −0.422187 + 0.383744i
\(581\) −7.07313 + 13.2329i −0.293443 + 0.548993i
\(582\) −3.06065 + 0.409983i −0.126868 + 0.0169943i
\(583\) 4.19265 21.0779i 0.173642 0.872957i
\(584\) −3.11493 + 43.4938i −0.128897 + 1.79979i
\(585\) −6.88810 0.543318i −0.284788 0.0224634i
\(586\) 2.79506 8.48102i 0.115463 0.350348i
\(587\) −7.34071 8.94468i −0.302983 0.369186i 0.599155 0.800633i \(-0.295503\pi\)
−0.902138 + 0.431447i \(0.858003\pi\)
\(588\) 0.695442 7.97145i 0.0286795 0.328737i
\(589\) 0.0181612 + 0.0339773i 0.000748321 + 0.00140001i
\(590\) −32.1701 0.766821i −1.32442 0.0315695i
\(591\) 8.49332 14.4881i 0.349368 0.595960i
\(592\) −14.2532 9.46509i −0.585803 0.389013i
\(593\) 6.86150 + 16.5651i 0.281768 + 0.680248i 0.999877 0.0156825i \(-0.00499211\pi\)
−0.718109 + 0.695931i \(0.754992\pi\)
\(594\) −0.992071 + 22.6721i −0.0407052 + 0.930249i
\(595\) 12.8471 + 3.89714i 0.526681 + 0.159767i
\(596\) −6.82706 27.0914i −0.279647 1.10971i
\(597\) 4.80938 20.0248i 0.196835 0.819560i
\(598\) −6.34934 + 7.37125i −0.259644 + 0.301433i
\(599\) −24.3493 + 36.4414i −0.994887 + 1.48895i −0.127178 + 0.991880i \(0.540592\pi\)
−0.867708 + 0.497073i \(0.834408\pi\)
\(600\) 1.96556 + 6.78824i 0.0802438 + 0.277129i
\(601\) 12.8798 8.60600i 0.525378 0.351046i −0.264426 0.964406i \(-0.585182\pi\)
0.789804 + 0.613360i \(0.210182\pi\)
\(602\) 4.09875 + 5.24436i 0.167052 + 0.213744i
\(603\) −34.2000 + 0.665614i −1.39273 + 0.0271059i
\(604\) −28.5281 7.10276i −1.16079 0.289007i
\(605\) −1.75028 + 2.13273i −0.0711591 + 0.0867076i
\(606\) 19.9618 + 7.46163i 0.810894 + 0.303108i
\(607\) −7.41120 7.41120i −0.300811 0.300811i 0.540520 0.841331i \(-0.318228\pi\)
−0.841331 + 0.540520i \(0.818228\pi\)
\(608\) −0.220321 0.0486518i −0.00893521 0.00197309i
\(609\) −8.24539 10.8945i −0.334120 0.441466i
\(610\) 0.602859 + 0.950521i 0.0244090 + 0.0384855i
\(611\) 2.54054 3.09566i 0.102779 0.125237i
\(612\) 12.0756 + 15.5907i 0.488126 + 0.630218i
\(613\) 5.49291 1.66626i 0.221856 0.0672994i −0.177400 0.984139i \(-0.556768\pi\)
0.399256 + 0.916839i \(0.369268\pi\)
\(614\) −0.474494 + 3.86977i −0.0191490 + 0.156171i
\(615\) 14.8887 + 30.7030i 0.600371 + 1.23806i
\(616\) 18.4482 4.18409i 0.743300 0.168582i
\(617\) 11.5251 17.2485i 0.463981 0.694397i −0.523519 0.852014i \(-0.675381\pi\)
0.987500 + 0.157617i \(0.0503811\pi\)
\(618\) −2.07956 + 32.8661i −0.0836521 + 1.32207i
\(619\) −15.2481 1.50181i −0.612872 0.0603626i −0.213181 0.977013i \(-0.568383\pi\)
−0.399691 + 0.916650i \(0.630883\pi\)
\(620\) 2.17469 + 2.92352i 0.0873376 + 0.117411i
\(621\) 22.2545 + 19.0172i 0.893042 + 0.763136i
\(622\) −26.3575 11.6610i −1.05684 0.467565i
\(623\) 2.49363 + 6.02014i 0.0999050 + 0.241192i
\(624\) −3.52070 + 7.69275i −0.140941 + 0.307957i
\(625\) 6.01050 14.5106i 0.240420 0.580425i
\(626\) −17.5847 + 16.7659i −0.702828 + 0.670102i
\(627\) −0.0738264 0.200169i −0.00294834 0.00799398i
\(628\) −36.9129 13.1484i −1.47298 0.524678i
\(629\) −8.91873 10.8675i −0.355613 0.433316i
\(630\) 17.0115 3.30655i 0.677755 0.131736i
\(631\) −6.28728 31.6083i −0.250293 1.25831i −0.877546 0.479492i \(-0.840821\pi\)
0.627254 0.778815i \(-0.284179\pi\)
\(632\) 14.2376 18.3243i 0.566341 0.728903i
\(633\) 39.5477 + 13.7178i 1.57188 + 0.545235i
\(634\) 11.1963 19.7970i 0.444661 0.786240i
\(635\) 11.1615 20.8816i 0.442929 0.828662i
\(636\) −20.1919 13.1684i −0.800661 0.522162i
\(637\) 2.80707 0.276472i 0.111220 0.0109542i
\(638\) −9.15074 + 13.0127i −0.362281 + 0.515179i
\(639\) 16.8507 + 4.75556i 0.666602 + 0.188127i
\(640\) −21.2887 1.46374i −0.841510 0.0578593i
\(641\) 15.2479i 0.602255i 0.953584 + 0.301127i \(0.0973629\pi\)
−0.953584 + 0.301127i \(0.902637\pi\)
\(642\) 29.8681 + 27.8480i 1.17880 + 1.09907i
\(643\) −3.28565 33.3597i −0.129573 1.31558i −0.811583 0.584237i \(-0.801394\pi\)
0.682010 0.731343i \(-0.261106\pi\)
\(644\) 10.4014 22.0731i 0.409872 0.869803i
\(645\) 4.17360 5.74341i 0.164335 0.226147i
\(646\) −0.161374 0.0912658i −0.00634919 0.00359081i
\(647\) 3.97702 19.9938i 0.156353 0.786039i −0.820420 0.571761i \(-0.806260\pi\)
0.976773 0.214278i \(-0.0687397\pi\)
\(648\) 23.1884 + 10.5023i 0.910925 + 0.412571i
\(649\) −36.5407 + 7.26841i −1.43435 + 0.285310i
\(650\) −2.22439 + 1.12165i −0.0872478 + 0.0439947i
\(651\) −3.08944 + 1.89284i −0.121085 + 0.0741862i
\(652\) 32.2603 + 11.4912i 1.26341 + 0.450028i
\(653\) 11.9486 + 22.3542i 0.467583 + 0.874787i 0.999606 + 0.0280569i \(0.00893197\pi\)
−0.532023 + 0.846730i \(0.678568\pi\)
\(654\) 37.9906 27.3539i 1.48555 1.06962i
\(655\) 14.4706 + 5.99392i 0.565413 + 0.234202i
\(656\) 41.5674 4.21356i 1.62293 0.164512i
\(657\) 5.42810 + 45.9307i 0.211770 + 1.79193i
\(658\) −4.06381 + 9.18544i −0.158424 + 0.358086i
\(659\) −11.9462 3.62383i −0.465357 0.141165i 0.0488944 0.998804i \(-0.484430\pi\)
−0.514252 + 0.857639i \(0.671930\pi\)
\(660\) −9.70955 17.6879i −0.377944 0.688500i
\(661\) −2.61621 + 26.5629i −0.101759 + 1.03318i 0.799726 + 0.600365i \(0.204978\pi\)
−0.901485 + 0.432810i \(0.857522\pi\)
\(662\) 0.886649 + 11.9045i 0.0344606 + 0.462682i
\(663\) −4.61801 + 5.19591i −0.179349 + 0.201792i
\(664\) 10.4487 16.5786i 0.405489 0.643373i
\(665\) −0.135465 + 0.0905146i −0.00525310 + 0.00351001i
\(666\) −16.7356 7.01801i −0.648493 0.271942i
\(667\) 5.95668 + 19.6365i 0.230643 + 0.760329i
\(668\) −38.1028 28.1750i −1.47424 1.09012i
\(669\) −33.4356 36.1768i −1.29269 1.39868i
\(670\) 25.6836 16.2896i 0.992245 0.629322i
\(671\) 0.921485 + 0.921485i 0.0355735 + 0.0355735i
\(672\) 3.34951 20.9530i 0.129210 0.808281i
\(673\) −33.2637 + 33.2637i −1.28222 + 1.28222i −0.342823 + 0.939400i \(0.611383\pi\)
−0.939400 + 0.342823i \(0.888617\pi\)
\(674\) 1.38588 6.19222i 0.0533821 0.238515i
\(675\) 3.40126 + 6.67968i 0.130914 + 0.257101i
\(676\) 22.3359 + 5.56107i 0.859072 + 0.213887i
\(677\) −17.6722 + 5.36080i −0.679198 + 0.206032i −0.610990 0.791639i \(-0.709228\pi\)
−0.0682083 + 0.997671i \(0.521728\pi\)
\(678\) −26.8807 + 15.6007i −1.03235 + 0.599142i
\(679\) 1.51681 + 2.27006i 0.0582097 + 0.0871169i
\(680\) −16.3723 6.27537i −0.627850 0.240650i
\(681\) 31.6711 35.6344i 1.21364 1.36551i
\(682\) 3.19629 + 2.75318i 0.122392 + 0.105425i
\(683\) 2.62778 + 0.258814i 0.100549 + 0.00990325i 0.148167 0.988962i \(-0.452663\pi\)
−0.0476173 + 0.998866i \(0.515163\pi\)
\(684\) −0.239221 0.00674874i −0.00914683 0.000258044i
\(685\) 11.9887 39.5215i 0.458065 1.51004i
\(686\) −26.5956 + 10.2808i −1.01543 + 0.392523i
\(687\) 42.1812 11.0031i 1.60931 0.419794i
\(688\) −4.85014 7.21420i −0.184910 0.275039i
\(689\) 3.25191 7.85080i 0.123888 0.299092i
\(690\) −25.6894 4.18170i −0.977977 0.159194i
\(691\) −35.0797 + 18.7505i −1.33450 + 0.713303i −0.975492 0.220033i \(-0.929383\pi\)
−0.359004 + 0.933336i \(0.616883\pi\)
\(692\) −1.70976 33.8204i −0.0649952 1.28566i
\(693\) 18.3840 8.03751i 0.698352 0.305320i
\(694\) 19.1701 + 6.31781i 0.727686 + 0.239821i
\(695\) 2.93331 + 14.7468i 0.111267 + 0.559376i
\(696\) 9.72482 + 14.9614i 0.368618 + 0.567111i
\(697\) 33.6704 + 6.69746i 1.27536 + 0.253684i
\(698\) 16.3448 4.53573i 0.618659 0.171680i
\(699\) 16.5431 22.7655i 0.625718 0.861069i
\(700\) 4.62364 4.20263i 0.174757 0.158844i
\(701\) 15.9101 1.56701i 0.600915 0.0591850i 0.207014 0.978338i \(-0.433625\pi\)
0.393901 + 0.919153i \(0.371125\pi\)
\(702\) −2.13367 + 8.71596i −0.0805302 + 0.328963i
\(703\) 0.170609 0.00643465
\(704\) −24.4228 + 3.72945i −0.920469 + 0.140559i
\(705\) 10.6126 + 1.46884i 0.399692 + 0.0553198i
\(706\) 4.99216 + 28.6495i 0.187883 + 1.07824i
\(707\) −1.84679 18.7508i −0.0694557 0.705195i
\(708\) −7.69537 + 41.0764i −0.289210 + 1.54375i
\(709\) −9.07436 4.85035i −0.340795 0.182159i 0.292117 0.956383i \(-0.405640\pi\)
−0.632912 + 0.774224i \(0.718140\pi\)
\(710\) −15.0007 + 4.16274i −0.562965 + 0.156225i
\(711\) 11.1779 21.9284i 0.419205 0.822380i
\(712\) −2.68678 8.07506i −0.100691 0.302626i
\(713\) 5.33704 1.06160i 0.199874 0.0397574i
\(714\) 7.67605 15.6546i 0.287269 0.585859i
\(715\) 5.49821 4.51226i 0.205621 0.168749i
\(716\) 9.06702 10.0326i 0.338850 0.374935i
\(717\) −1.55998 4.22966i −0.0582586 0.157960i
\(718\) −12.6596 0.301759i −0.472452 0.0112616i
\(719\) −15.5452 6.43903i −0.579738 0.240135i 0.0734907 0.997296i \(-0.476586\pi\)
−0.653229 + 0.757160i \(0.726586\pi\)
\(720\) −22.4693 + 2.72032i −0.837382 + 0.101380i
\(721\) 26.8997 11.1422i 1.00180 0.414958i
\(722\) −25.0606 + 9.68743i −0.932658 + 0.360529i
\(723\) 7.04091 15.2694i 0.261854 0.567875i
\(724\) −22.3920 + 37.4797i −0.832193 + 1.39292i
\(725\) −0.515026 + 5.22914i −0.0191276 + 0.194206i
\(726\) 2.36857 + 2.68856i 0.0879060 + 0.0997817i
\(727\) 27.6834 + 18.4975i 1.02672 + 0.686033i 0.950394 0.311049i \(-0.100680\pi\)
0.0763278 + 0.997083i \(0.475680\pi\)
\(728\) 7.47718 0.199532i 0.277123 0.00739513i
\(729\) 26.2507 + 6.31681i 0.972247 + 0.233956i
\(730\) −25.3228 32.4006i −0.937238 1.19920i
\(731\) −2.07346 6.83530i −0.0766899 0.252813i
\(732\) 1.34419 0.574428i 0.0496826 0.0212315i
\(733\) 41.0360 + 33.6774i 1.51570 + 1.24390i 0.882875 + 0.469609i \(0.155605\pi\)
0.632826 + 0.774294i \(0.281895\pi\)
\(734\) −1.89381 + 8.46167i −0.0699017 + 0.312326i
\(735\) 4.55397 + 6.01706i 0.167976 + 0.221943i
\(736\) −15.6092 + 27.7842i −0.575362 + 1.02414i
\(737\) 24.8991 24.8991i 0.917169 0.917169i
\(738\) 42.4624 12.6784i 1.56306 0.466697i
\(739\) −17.5625 14.4132i −0.646049 0.530198i 0.253324 0.967382i \(-0.418476\pi\)
−0.899373 + 0.437183i \(0.855976\pi\)
\(740\) 15.9574 2.39028i 0.586606 0.0878684i
\(741\) −0.0131895 0.0833226i −0.000484530 0.00306093i
\(742\) −2.59390 + 21.1547i −0.0952252 + 0.776615i
\(743\) −18.9945 28.4272i −0.696839 1.04289i −0.996058 0.0887092i \(-0.971726\pi\)
0.299218 0.954185i \(-0.403274\pi\)
\(744\) 4.20119 2.17756i 0.154023 0.0798332i
\(745\) 21.9072 + 14.6379i 0.802618 + 0.536292i
\(746\) −0.228454 3.06731i −0.00836429 0.112302i
\(747\) 7.57900 19.3542i 0.277301 0.708134i
\(748\) −20.0848 2.95009i −0.734374 0.107866i
\(749\) 10.4806 34.5500i 0.382954 1.26243i
\(750\) −25.3118 15.6607i −0.924256 0.571846i
\(751\) −45.0176 + 18.6469i −1.64272 + 0.680435i −0.996568 0.0827770i \(-0.973621\pi\)
−0.646148 + 0.763212i \(0.723621\pi\)
\(752\) 6.15087 11.5867i 0.224299 0.422523i
\(753\) −2.53706 + 4.32777i −0.0924556 + 0.157713i
\(754\) −4.55256 + 4.34058i −0.165794 + 0.158075i
\(755\) 24.4512 13.0695i 0.889871 0.475646i
\(756\) −0.688886 22.4957i −0.0250546 0.818160i
\(757\) 28.4563 23.3535i 1.03426 0.848797i 0.0456011 0.998960i \(-0.485480\pi\)
0.988661 + 0.150162i \(0.0479797\pi\)
\(758\) 8.97984 4.52809i 0.326162 0.164467i
\(759\) −30.0821 + 1.77139i −1.09191 + 0.0642974i
\(760\) 0.184914 0.105275i 0.00670753 0.00381871i
\(761\) 41.3302 + 8.22109i 1.49822 + 0.298014i 0.875034 0.484061i \(-0.160839\pi\)
0.623184 + 0.782075i \(0.285839\pi\)
\(762\) −24.4377 18.6641i −0.885283 0.676127i
\(763\) −36.5021 19.5108i −1.32147 0.706338i
\(764\) −24.2390 + 8.71179i −0.876936 + 0.315182i
\(765\) −18.3072 3.27256i −0.661898 0.118320i
\(766\) −8.57659 + 12.1962i −0.309885 + 0.440668i
\(767\) −14.7316 −0.531926
\(768\) −6.31824 + 26.9830i −0.227990 + 0.973664i
\(769\) 27.6232 0.996118 0.498059 0.867143i \(-0.334046\pi\)
0.498059 + 0.867143i \(0.334046\pi\)
\(770\) −10.2618 + 14.5927i −0.369810 + 0.525885i
\(771\) −0.0285942 + 0.726150i −0.00102979 + 0.0261517i
\(772\) 7.81775 2.80980i 0.281367 0.101127i
\(773\) 27.3850 + 14.6376i 0.984972