Properties

Label 177.2.f.a.98.10
Level $177$
Weight $2$
Character 177.98
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 98.10
Character \(\chi\) \(=\) 177.98
Dual form 177.2.f.a.56.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.368020 + 0.170264i) q^{2} +(-0.570529 - 1.63539i) q^{3} +(-1.18832 - 1.39900i) q^{4} +(1.50580 + 2.50266i) q^{5} +(0.0684822 - 0.698996i) q^{6} +(-0.260897 - 4.81196i) q^{7} +(-0.416091 - 1.49862i) q^{8} +(-2.34899 + 1.86607i) q^{9} +O(q^{10})\) \(q+(0.368020 + 0.170264i) q^{2} +(-0.570529 - 1.63539i) q^{3} +(-1.18832 - 1.39900i) q^{4} +(1.50580 + 2.50266i) q^{5} +(0.0684822 - 0.698996i) q^{6} +(-0.260897 - 4.81196i) q^{7} +(-0.416091 - 1.49862i) q^{8} +(-2.34899 + 1.86607i) q^{9} +(0.128051 + 1.17741i) q^{10} +(-0.148300 - 0.904591i) q^{11} +(-1.60994 + 2.74154i) q^{12} +(2.05813 - 2.70743i) q^{13} +(0.723289 - 1.81532i) q^{14} +(3.23372 - 3.89040i) q^{15} +(-0.491893 + 3.00041i) q^{16} +(-2.51894 - 0.136573i) q^{17} +(-1.18220 + 0.286802i) q^{18} +(1.34242 + 1.27161i) q^{19} +(1.71185 - 5.08058i) q^{20} +(-7.72058 + 3.17203i) q^{21} +(0.0994419 - 0.358157i) q^{22} +(5.81897 + 1.28085i) q^{23} +(-2.21344 + 1.53548i) q^{24} +(-1.65382 + 3.11944i) q^{25} +(1.21841 - 0.645961i) q^{26} +(4.39192 + 2.77687i) q^{27} +(-6.42192 + 6.08317i) q^{28} +(1.75430 + 3.79186i) q^{29} +(1.85247 - 0.881160i) q^{30} +(2.95779 + 3.12251i) q^{31} +(-2.43753 + 3.59509i) q^{32} +(-1.39475 + 0.758623i) q^{33} +(-0.903768 - 0.479147i) q^{34} +(11.6498 - 7.89879i) q^{35} +(5.40201 + 1.06875i) q^{36} +(5.07310 + 1.40854i) q^{37} +(0.277528 + 0.696544i) q^{38} +(-5.60192 - 1.82118i) q^{39} +(3.12399 - 3.29796i) q^{40} +(1.86984 + 8.49476i) q^{41} +(-3.38141 - 0.147168i) q^{42} +(3.60656 + 0.591266i) q^{43} +(-1.08930 + 1.28242i) q^{44} +(-8.20725 - 3.06880i) q^{45} +(1.92341 + 1.46214i) q^{46} +(-11.3202 - 6.81116i) q^{47} +(5.18748 - 0.907386i) q^{48} +(-16.1280 + 1.75402i) q^{49} +(-1.13977 + 0.866428i) q^{50} +(1.21378 + 4.19737i) q^{51} +(-6.23343 + 0.337967i) q^{52} +(0.788343 - 7.24869i) q^{53} +(1.14351 + 1.76973i) q^{54} +(2.04057 - 1.73328i) q^{55} +(-7.10277 + 2.39320i) q^{56} +(1.31369 - 2.92087i) q^{57} +1.69417i q^{58} +(-7.57720 - 1.25935i) q^{59} +(-9.28539 + 0.0990814i) q^{60} +(3.36729 - 7.27827i) q^{61} +(0.556876 + 1.65275i) q^{62} +(9.59232 + 10.8164i) q^{63} +(3.70131 - 2.22701i) q^{64} +(9.87490 + 1.07396i) q^{65} +(-0.642461 + 0.0417129i) q^{66} +(0.0835413 - 0.0231951i) q^{67} +(2.80226 + 3.68630i) q^{68} +(-1.22520 - 10.2470i) q^{69} +(5.63225 - 0.923360i) q^{70} +(0.0441327 - 0.0733491i) q^{71} +(3.77394 + 2.74380i) q^{72} +(9.58983 + 3.82094i) q^{73} +(1.62718 + 1.38214i) q^{74} +(6.04505 + 0.924912i) q^{75} +(0.183754 - 3.38914i) q^{76} +(-4.31417 + 0.949620i) q^{77} +(-1.75154 - 1.62404i) q^{78} +(-0.539226 - 0.181686i) q^{79} +(-8.24970 + 3.28698i) q^{80} +(2.03555 - 8.76679i) q^{81} +(-0.758215 + 3.44461i) q^{82} +(2.93300 + 4.32585i) q^{83} +(13.6122 + 7.03172i) q^{84} +(-3.45123 - 6.50971i) q^{85} +(1.22661 + 0.831665i) q^{86} +(5.20029 - 5.03233i) q^{87} +(-1.29394 + 0.598638i) q^{88} +(10.2214 - 4.72895i) q^{89} +(-2.49793 - 2.52678i) q^{90} +(-13.5650 - 9.19730i) q^{91} +(-5.12291 - 9.66283i) q^{92} +(3.41900 - 6.61862i) q^{93} +(-3.00637 - 4.43407i) q^{94} +(-1.16099 + 5.27441i) q^{95} +(7.27006 + 1.93521i) q^{96} +(-14.3572 + 5.72044i) q^{97} +(-6.23405 - 2.10050i) q^{98} +(2.03639 + 1.84814i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{37}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.368020 + 0.170264i 0.260229 + 0.120395i 0.545666 0.838003i \(-0.316277\pi\)
−0.285437 + 0.958397i \(0.592139\pi\)
\(3\) −0.570529 1.63539i −0.329395 0.944192i
\(4\) −1.18832 1.39900i −0.594162 0.699502i
\(5\) 1.50580 + 2.50266i 0.673414 + 1.11922i 0.985582 + 0.169196i \(0.0541170\pi\)
−0.312169 + 0.950027i \(0.601055\pi\)
\(6\) 0.0684822 0.698996i 0.0279577 0.285364i
\(7\) −0.260897 4.81196i −0.0986098 1.81875i −0.461743 0.887014i \(-0.652776\pi\)
0.363133 0.931737i \(-0.381707\pi\)
\(8\) −0.416091 1.49862i −0.147110 0.529844i
\(9\) −2.34899 + 1.86607i −0.782998 + 0.622024i
\(10\) 0.128051 + 1.17741i 0.0404933 + 0.372330i
\(11\) −0.148300 0.904591i −0.0447142 0.272744i 0.955001 0.296602i \(-0.0958535\pi\)
−0.999715 + 0.0238576i \(0.992405\pi\)
\(12\) −1.60994 + 2.74154i −0.464750 + 0.791415i
\(13\) 2.05813 2.70743i 0.570823 0.750905i −0.416585 0.909097i \(-0.636773\pi\)
0.987408 + 0.158191i \(0.0505663\pi\)
\(14\) 0.723289 1.81532i 0.193307 0.485164i
\(15\) 3.23372 3.89040i 0.834942 1.00450i
\(16\) −0.491893 + 3.00041i −0.122973 + 0.750103i
\(17\) −2.51894 0.136573i −0.610934 0.0331239i −0.253923 0.967224i \(-0.581721\pi\)
−0.357010 + 0.934100i \(0.616204\pi\)
\(18\) −1.18220 + 0.286802i −0.278648 + 0.0675999i
\(19\) 1.34242 + 1.27161i 0.307973 + 0.291727i 0.826039 0.563613i \(-0.190589\pi\)
−0.518066 + 0.855341i \(0.673348\pi\)
\(20\) 1.71185 5.08058i 0.382781 1.13605i
\(21\) −7.72058 + 3.17203i −1.68477 + 0.692194i
\(22\) 0.0994419 0.358157i 0.0212011 0.0763594i
\(23\) 5.81897 + 1.28085i 1.21334 + 0.267076i 0.775133 0.631798i \(-0.217683\pi\)
0.438207 + 0.898874i \(0.355614\pi\)
\(24\) −2.21344 + 1.53548i −0.451817 + 0.313428i
\(25\) −1.65382 + 3.11944i −0.330764 + 0.623888i
\(26\) 1.21841 0.645961i 0.238950 0.126683i
\(27\) 4.39192 + 2.77687i 0.845226 + 0.534409i
\(28\) −6.42192 + 6.08317i −1.21363 + 1.14961i
\(29\) 1.75430 + 3.79186i 0.325766 + 0.704131i 0.999389 0.0349437i \(-0.0111252\pi\)
−0.673624 + 0.739075i \(0.735263\pi\)
\(30\) 1.85247 0.881160i 0.338213 0.160877i
\(31\) 2.95779 + 3.12251i 0.531235 + 0.560818i 0.935274 0.353923i \(-0.115153\pi\)
−0.404039 + 0.914742i \(0.632394\pi\)
\(32\) −2.43753 + 3.59509i −0.430899 + 0.635529i
\(33\) −1.39475 + 0.758623i −0.242794 + 0.132059i
\(34\) −0.903768 0.479147i −0.154995 0.0821731i
\(35\) 11.6498 7.89879i 1.96918 1.33514i
\(36\) 5.40201 + 1.06875i 0.900334 + 0.178125i
\(37\) 5.07310 + 1.40854i 0.834012 + 0.231562i 0.658183 0.752858i \(-0.271325\pi\)
0.175830 + 0.984421i \(0.443739\pi\)
\(38\) 0.277528 + 0.696544i 0.0450211 + 0.112994i
\(39\) −5.60192 1.82118i −0.897025 0.291623i
\(40\) 3.12399 3.29796i 0.493947 0.521453i
\(41\) 1.86984 + 8.49476i 0.292020 + 1.32666i 0.862796 + 0.505553i \(0.168711\pi\)
−0.570776 + 0.821106i \(0.693358\pi\)
\(42\) −3.38141 0.147168i −0.521763 0.0227085i
\(43\) 3.60656 + 0.591266i 0.549995 + 0.0901671i 0.430371 0.902652i \(-0.358383\pi\)
0.119624 + 0.992819i \(0.461831\pi\)
\(44\) −1.08930 + 1.28242i −0.164218 + 0.193332i
\(45\) −8.20725 3.06880i −1.22347 0.457469i
\(46\) 1.92341 + 1.46214i 0.283592 + 0.215581i
\(47\) −11.3202 6.81116i −1.65123 0.993509i −0.963564 0.267478i \(-0.913810\pi\)
−0.687661 0.726032i \(-0.741363\pi\)
\(48\) 5.18748 0.907386i 0.748748 0.130970i
\(49\) −16.1280 + 1.75402i −2.30399 + 0.250574i
\(50\) −1.13977 + 0.866428i −0.161187 + 0.122531i
\(51\) 1.21378 + 4.19737i 0.169963 + 0.587750i
\(52\) −6.23343 + 0.337967i −0.864421 + 0.0468675i
\(53\) 0.788343 7.24869i 0.108287 0.995684i −0.806358 0.591427i \(-0.798565\pi\)
0.914645 0.404257i \(-0.132470\pi\)
\(54\) 1.14351 + 1.76973i 0.155612 + 0.240830i
\(55\) 2.04057 1.73328i 0.275150 0.233715i
\(56\) −7.10277 + 2.39320i −0.949147 + 0.319805i
\(57\) 1.31369 2.92087i 0.174002 0.386879i
\(58\) 1.69417i 0.222456i
\(59\) −7.57720 1.25935i −0.986468 0.163954i
\(60\) −9.28539 + 0.0990814i −1.19874 + 0.0127914i
\(61\) 3.36729 7.27827i 0.431137 0.931887i −0.563270 0.826273i \(-0.690457\pi\)
0.994407 0.105614i \(-0.0336809\pi\)
\(62\) 0.556876 + 1.65275i 0.0707234 + 0.209899i
\(63\) 9.59232 + 10.8164i 1.20852 + 1.36274i
\(64\) 3.70131 2.22701i 0.462664 0.278376i
\(65\) 9.87490 + 1.07396i 1.22483 + 0.133208i
\(66\) −0.642461 + 0.0417129i −0.0790815 + 0.00513450i
\(67\) 0.0835413 0.0231951i 0.0102062 0.00283373i −0.262421 0.964953i \(-0.584521\pi\)
0.272628 + 0.962120i \(0.412107\pi\)
\(68\) 2.80226 + 3.68630i 0.339823 + 0.447030i
\(69\) −1.22520 10.2470i −0.147497 1.23360i
\(70\) 5.63225 0.923360i 0.673183 0.110363i
\(71\) 0.0441327 0.0733491i 0.00523758 0.00870493i −0.854227 0.519900i \(-0.825969\pi\)
0.859465 + 0.511195i \(0.170797\pi\)
\(72\) 3.77394 + 2.74380i 0.444763 + 0.323360i
\(73\) 9.58983 + 3.82094i 1.12240 + 0.447207i 0.856166 0.516700i \(-0.172840\pi\)
0.266238 + 0.963907i \(0.414219\pi\)
\(74\) 1.62718 + 1.38214i 0.189155 + 0.160670i
\(75\) 6.04505 + 0.924912i 0.698022 + 0.106800i
\(76\) 0.183754 3.38914i 0.0210780 0.388761i
\(77\) −4.31417 + 0.949620i −0.491645 + 0.108219i
\(78\) −1.75154 1.62404i −0.198322 0.183886i
\(79\) −0.539226 0.181686i −0.0606677 0.0204413i 0.288804 0.957388i \(-0.406742\pi\)
−0.349472 + 0.936947i \(0.613639\pi\)
\(80\) −8.24970 + 3.28698i −0.922344 + 0.367495i
\(81\) 2.03555 8.76679i 0.226172 0.974087i
\(82\) −0.758215 + 3.44461i −0.0837308 + 0.380393i
\(83\) 2.93300 + 4.32585i 0.321939 + 0.474824i 0.953878 0.300194i \(-0.0970513\pi\)
−0.631940 + 0.775018i \(0.717741\pi\)
\(84\) 13.6122 + 7.03172i 1.48522 + 0.767223i
\(85\) −3.45123 6.50971i −0.374338 0.706077i
\(86\) 1.22661 + 0.831665i 0.132269 + 0.0896808i
\(87\) 5.20029 5.03233i 0.557529 0.539522i
\(88\) −1.29394 + 0.598638i −0.137934 + 0.0638150i
\(89\) 10.2214 4.72895i 1.08347 0.501267i 0.204854 0.978793i \(-0.434328\pi\)
0.878618 + 0.477525i \(0.158466\pi\)
\(90\) −2.49793 2.52678i −0.263304 0.266346i
\(91\) −13.5650 9.19730i −1.42200 0.964139i
\(92\) −5.12291 9.66283i −0.534100 1.00742i
\(93\) 3.41900 6.61862i 0.354534 0.686319i
\(94\) −3.00637 4.43407i −0.310084 0.457339i
\(95\) −1.16099 + 5.27441i −0.119115 + 0.541143i
\(96\) 7.27006 + 1.93521i 0.741998 + 0.197512i
\(97\) −14.3572 + 5.72044i −1.45776 + 0.580823i −0.958363 0.285553i \(-0.907823\pi\)
−0.499392 + 0.866376i \(0.666443\pi\)
\(98\) −6.23405 2.10050i −0.629734 0.212182i
\(99\) 2.03639 + 1.84814i 0.204665 + 0.185745i
\(100\) 6.32938 1.39320i 0.632938 0.139320i
\(101\) −0.445983 + 8.22567i −0.0443769 + 0.818484i 0.888630 + 0.458625i \(0.151658\pi\)
−0.933007 + 0.359859i \(0.882825\pi\)
\(102\) −0.267967 + 1.75138i −0.0265327 + 0.173412i
\(103\) 2.41660 + 2.05267i 0.238114 + 0.202256i 0.758496 0.651678i \(-0.225935\pi\)
−0.520382 + 0.853934i \(0.674210\pi\)
\(104\) −4.91379 1.95783i −0.481836 0.191981i
\(105\) −19.5642 14.5455i −1.90927 1.41950i
\(106\) 1.52432 2.53344i 0.148055 0.246069i
\(107\) −5.47857 + 0.898166i −0.529633 + 0.0868290i −0.420665 0.907216i \(-0.638203\pi\)
−0.108969 + 0.994045i \(0.534755\pi\)
\(108\) −1.33418 9.44414i −0.128381 0.908762i
\(109\) −5.13709 6.75772i −0.492044 0.647272i 0.481318 0.876546i \(-0.340158\pi\)
−0.973362 + 0.229274i \(0.926365\pi\)
\(110\) 1.04608 0.290444i 0.0997403 0.0276928i
\(111\) −0.590839 9.10010i −0.0560800 0.863743i
\(112\) 14.5662 + 1.58417i 1.37638 + 0.149690i
\(113\) −14.1121 + 8.49095i −1.32755 + 0.798761i −0.989799 0.142474i \(-0.954494\pi\)
−0.337753 + 0.941235i \(0.609667\pi\)
\(114\) 0.980782 0.851265i 0.0918587 0.0797283i
\(115\) 5.55667 + 16.4916i 0.518162 + 1.53785i
\(116\) 3.22015 6.96023i 0.298983 0.646241i
\(117\) 0.217714 + 10.2004i 0.0201277 + 0.943023i
\(118\) −2.57414 1.75359i −0.236969 0.161431i
\(119\) 12.1567i 1.11440i
\(120\) −7.17578 3.22736i −0.655056 0.294617i
\(121\) 9.62789 3.24402i 0.875263 0.294910i
\(122\) 2.47846 2.10522i 0.224389 0.190598i
\(123\) 12.8254 7.90441i 1.15643 0.712717i
\(124\) 0.853577 7.84851i 0.0766535 0.704817i
\(125\) 4.28508 0.232330i 0.383269 0.0207802i
\(126\) 1.68851 + 5.61388i 0.150425 + 0.500125i
\(127\) −4.70733 + 3.57842i −0.417708 + 0.317533i −0.792831 0.609442i \(-0.791394\pi\)
0.375123 + 0.926975i \(0.377600\pi\)
\(128\) 10.3775 1.12862i 0.917248 0.0997568i
\(129\) −1.09070 6.23546i −0.0960305 0.549002i
\(130\) 3.45130 + 2.07658i 0.302699 + 0.182128i
\(131\) −4.35476 3.31040i −0.380477 0.289231i 0.397403 0.917644i \(-0.369912\pi\)
−0.777880 + 0.628413i \(0.783705\pi\)
\(132\) 2.71873 + 1.04977i 0.236635 + 0.0913705i
\(133\) 5.76871 6.79145i 0.500210 0.588893i
\(134\) 0.0346941 + 0.00568781i 0.00299712 + 0.000491352i
\(135\) −0.336204 + 15.1729i −0.0289358 + 1.30587i
\(136\) 0.843438 + 3.83178i 0.0723242 + 0.328572i
\(137\) 9.57106 10.1040i 0.817711 0.863247i −0.174900 0.984586i \(-0.555960\pi\)
0.992611 + 0.121339i \(0.0387189\pi\)
\(138\) 1.29381 3.97972i 0.110136 0.338777i
\(139\) 2.82138 + 7.08112i 0.239306 + 0.600613i 0.998751 0.0499584i \(-0.0159089\pi\)
−0.759445 + 0.650571i \(0.774530\pi\)
\(140\) −24.8942 6.91184i −2.10394 0.584157i
\(141\) −4.68037 + 22.3989i −0.394159 + 1.88633i
\(142\) 0.0287304 0.0194797i 0.00241100 0.00163470i
\(143\) −2.75433 1.46026i −0.230329 0.122113i
\(144\) −4.44353 7.96586i −0.370295 0.663822i
\(145\) −6.84810 + 10.1002i −0.568704 + 0.838776i
\(146\) 2.87868 + 3.03898i 0.238241 + 0.251508i
\(147\) 12.0700 + 25.3748i 0.995514 + 2.09288i
\(148\) −4.05793 8.77108i −0.333560 0.720978i
\(149\) −12.9070 + 12.2261i −1.05738 + 1.00160i −0.0573851 + 0.998352i \(0.518276\pi\)
−0.999995 + 0.00325123i \(0.998965\pi\)
\(150\) 2.06722 + 1.36964i 0.168788 + 0.111831i
\(151\) −1.27645 + 0.676729i −0.103876 + 0.0550714i −0.519536 0.854448i \(-0.673895\pi\)
0.415661 + 0.909520i \(0.363550\pi\)
\(152\) 1.34710 2.54089i 0.109264 0.206094i
\(153\) 6.17184 4.37972i 0.498964 0.354080i
\(154\) −1.74938 0.385069i −0.140969 0.0310297i
\(155\) −3.36072 + 12.1042i −0.269939 + 0.972234i
\(156\) 4.10906 + 10.0013i 0.328988 + 0.800742i
\(157\) −4.95966 + 14.7198i −0.395824 + 1.17476i 0.545747 + 0.837950i \(0.316246\pi\)
−0.941571 + 0.336815i \(0.890650\pi\)
\(158\) −0.167511 0.158675i −0.0133265 0.0126235i
\(159\) −12.3042 + 2.84634i −0.975787 + 0.225729i
\(160\) −12.6677 0.686824i −1.00147 0.0542982i
\(161\) 4.64526 28.3349i 0.366098 2.23310i
\(162\) 2.24179 2.87977i 0.176132 0.226256i
\(163\) 6.11216 15.3404i 0.478741 1.20155i −0.469196 0.883094i \(-0.655456\pi\)
0.947937 0.318456i \(-0.103164\pi\)
\(164\) 9.66222 12.7104i 0.754493 0.992518i
\(165\) −3.99878 2.34824i −0.311305 0.182810i
\(166\) 0.342865 + 2.09138i 0.0266115 + 0.162323i
\(167\) 0.173361 + 1.59403i 0.0134151 + 0.123350i 0.998931 0.0462359i \(-0.0147226\pi\)
−0.985515 + 0.169586i \(0.945757\pi\)
\(168\) 7.96615 + 10.2504i 0.614602 + 0.790835i
\(169\) 0.383616 + 1.38166i 0.0295089 + 0.106282i
\(170\) −0.161751 2.98332i −0.0124057 0.228810i
\(171\) −5.52626 0.481947i −0.422604 0.0368554i
\(172\) −3.45858 5.74820i −0.263714 0.438296i
\(173\) 10.4188 + 12.2660i 0.792130 + 0.932568i 0.998950 0.0458112i \(-0.0145872\pi\)
−0.206820 + 0.978379i \(0.566311\pi\)
\(174\) 2.77063 0.966575i 0.210041 0.0732759i
\(175\) 15.4421 + 7.14427i 1.16731 + 0.540056i
\(176\) 2.78709 0.210085
\(177\) 2.26348 + 13.1102i 0.170133 + 0.985421i
\(178\) 4.56687 0.342301
\(179\) −15.1689 7.01786i −1.13377 0.524540i −0.238982 0.971024i \(-0.576814\pi\)
−0.894792 + 0.446484i \(0.852676\pi\)
\(180\) 5.45962 + 15.1287i 0.406936 + 1.12763i
\(181\) −5.86350 6.90305i −0.435831 0.513099i 0.499771 0.866158i \(-0.333418\pi\)
−0.935601 + 0.353058i \(0.885142\pi\)
\(182\) −3.42622 5.69442i −0.253968 0.422099i
\(183\) −13.8239 1.35436i −1.02189 0.100117i
\(184\) −0.501705 9.25341i −0.0369862 0.682170i
\(185\) 4.11398 + 14.8172i 0.302466 + 1.08938i
\(186\) 2.38517 1.85365i 0.174890 0.135916i
\(187\) 0.250017 + 2.29887i 0.0182830 + 0.168110i
\(188\) 3.92327 + 23.9309i 0.286134 + 1.74534i
\(189\) 12.2164 21.8582i 0.888610 1.58995i
\(190\) −1.32531 + 1.74341i −0.0961480 + 0.126481i
\(191\) 0.943092 2.36698i 0.0682397 0.171269i −0.890901 0.454197i \(-0.849926\pi\)
0.959141 + 0.282928i \(0.0913057\pi\)
\(192\) −5.75373 4.78252i −0.415240 0.345148i
\(193\) −1.79377 + 10.9415i −0.129119 + 0.787589i 0.840290 + 0.542137i \(0.182385\pi\)
−0.969409 + 0.245452i \(0.921064\pi\)
\(194\) −6.25773 0.339284i −0.449279 0.0243592i
\(195\) −3.87757 16.7620i −0.277679 1.20035i
\(196\) 21.6191 + 20.4787i 1.54422 + 1.46277i
\(197\) −2.53204 + 7.51482i −0.180400 + 0.535409i −0.999255 0.0385918i \(-0.987713\pi\)
0.818855 + 0.574001i \(0.194609\pi\)
\(198\) 0.434759 + 1.02688i 0.0308970 + 0.0729769i
\(199\) −0.454036 + 1.63529i −0.0321858 + 0.115923i −0.977898 0.209083i \(-0.932952\pi\)
0.945712 + 0.325005i \(0.105366\pi\)
\(200\) 5.36301 + 1.18049i 0.379222 + 0.0834730i
\(201\) −0.0855957 0.123389i −0.00603746 0.00870319i
\(202\) −1.56467 + 2.95127i −0.110090 + 0.207651i
\(203\) 17.7886 9.43092i 1.24852 0.661921i
\(204\) 4.42977 6.68592i 0.310146 0.468108i
\(205\) −18.4439 + 17.4710i −1.28818 + 1.22022i
\(206\) 0.539858 + 1.16688i 0.0376137 + 0.0813007i
\(207\) −16.0589 + 7.84991i −1.11617 + 0.545606i
\(208\) 7.11102 + 7.50701i 0.493060 + 0.520518i
\(209\) 0.951205 1.40292i 0.0657962 0.0970422i
\(210\) −4.72341 8.68412i −0.325946 0.599261i
\(211\) −11.9079 6.31315i −0.819771 0.434615i 0.00506477 0.999987i \(-0.498388\pi\)
−0.824836 + 0.565372i \(0.808733\pi\)
\(212\) −11.0777 + 7.51090i −0.760823 + 0.515851i
\(213\) −0.145133 0.0303263i −0.00994436 0.00207793i
\(214\) −2.16915 0.602261i −0.148280 0.0411697i
\(215\) 3.95102 + 9.91631i 0.269457 + 0.676287i
\(216\) 2.33405 7.73727i 0.158812 0.526455i
\(217\) 14.2537 15.0474i 0.967604 1.02149i
\(218\) −0.739952 3.36164i −0.0501159 0.227679i
\(219\) 0.777446 17.8631i 0.0525349 1.20707i
\(220\) −4.84972 0.795071i −0.326968 0.0536037i
\(221\) −5.55408 + 6.53877i −0.373608 + 0.439846i
\(222\) 1.33198 3.44962i 0.0893966 0.231523i
\(223\) 18.0326 + 13.7080i 1.20755 + 0.917957i 0.998205 0.0598844i \(-0.0190732\pi\)
0.209347 + 0.977842i \(0.432866\pi\)
\(224\) 17.9354 + 10.7914i 1.19836 + 0.721029i
\(225\) −1.93628 10.4137i −0.129085 0.694246i
\(226\) −6.63922 + 0.722059i −0.441634 + 0.0480306i
\(227\) 13.8460 10.5254i 0.918991 0.698599i −0.0346967 0.999398i \(-0.511047\pi\)
0.953687 + 0.300799i \(0.0972534\pi\)
\(228\) −5.64739 + 1.63309i −0.374008 + 0.108154i
\(229\) −21.8577 + 1.18509i −1.44440 + 0.0783130i −0.759586 0.650407i \(-0.774598\pi\)
−0.684812 + 0.728720i \(0.740116\pi\)
\(230\) −0.762964 + 7.01534i −0.0503083 + 0.462578i
\(231\) 4.01435 + 6.51355i 0.264125 + 0.428560i
\(232\) 4.95263 4.20680i 0.325156 0.276190i
\(233\) 0.814306 0.274372i 0.0533470 0.0179747i −0.292502 0.956265i \(-0.594488\pi\)
0.345849 + 0.938290i \(0.387591\pi\)
\(234\) −1.65663 + 3.79100i −0.108297 + 0.247826i
\(235\) 38.5869i 2.51713i
\(236\) 7.24233 + 12.0971i 0.471436 + 0.787451i
\(237\) 0.0105160 + 0.985502i 0.000683086 + 0.0640152i
\(238\) −2.06985 + 4.47391i −0.134168 + 0.290000i
\(239\) 0.689688 + 2.04692i 0.0446122 + 0.132404i 0.967644 0.252319i \(-0.0811933\pi\)
−0.923032 + 0.384724i \(0.874297\pi\)
\(240\) 10.0822 + 11.6161i 0.650802 + 0.749819i
\(241\) −8.19901 + 4.93318i −0.528145 + 0.317774i −0.754532 0.656263i \(-0.772136\pi\)
0.226387 + 0.974037i \(0.427309\pi\)
\(242\) 4.09559 + 0.445423i 0.263275 + 0.0286329i
\(243\) −15.4984 + 1.67279i −0.994226 + 0.107310i
\(244\) −14.1837 + 3.93810i −0.908021 + 0.252111i
\(245\) −28.6752 37.7215i −1.83199 2.40994i
\(246\) 6.06585 0.725270i 0.386745 0.0462415i
\(247\) 6.20567 1.01737i 0.394858 0.0647336i
\(248\) 3.44875 5.73187i 0.218996 0.363974i
\(249\) 5.40109 7.26462i 0.342280 0.460376i
\(250\) 1.61655 + 0.644093i 0.102240 + 0.0407360i
\(251\) −8.54734 7.26017i −0.539503 0.458258i 0.335731 0.941958i \(-0.391017\pi\)
−0.875234 + 0.483700i \(0.839293\pi\)
\(252\) 3.73342 26.2731i 0.235184 1.65505i
\(253\) 0.295693 5.45374i 0.0185901 0.342874i
\(254\) −2.34166 + 0.515439i −0.146929 + 0.0323415i
\(255\) −8.67688 + 9.35808i −0.543367 + 0.586025i
\(256\) −4.17576 1.40698i −0.260985 0.0879361i
\(257\) 13.3821 5.33190i 0.834751 0.332595i 0.0866982 0.996235i \(-0.472368\pi\)
0.748053 + 0.663640i \(0.230989\pi\)
\(258\) 0.660277 2.48048i 0.0411071 0.154428i
\(259\) 5.45428 24.7790i 0.338912 1.53969i
\(260\) −10.2321 15.0912i −0.634568 0.935918i
\(261\) −11.1967 5.63340i −0.693060 0.348699i
\(262\) −1.03900 1.95975i −0.0641893 0.121074i
\(263\) −12.2802 8.32617i −0.757229 0.513414i 0.120417 0.992723i \(-0.461577\pi\)
−0.877646 + 0.479310i \(0.840887\pi\)
\(264\) 1.71723 + 1.77455i 0.105688 + 0.109216i
\(265\) 19.3281 8.94212i 1.18731 0.549310i
\(266\) 3.27934 1.51718i 0.201069 0.0930245i
\(267\) −13.5653 14.0180i −0.830183 0.857890i
\(268\) −0.131724 0.0893112i −0.00804633 0.00545555i
\(269\) 7.41968 + 13.9950i 0.452386 + 0.853290i 0.999864 + 0.0164705i \(0.00524297\pi\)
−0.547478 + 0.836820i \(0.684412\pi\)
\(270\) −2.70713 + 5.52668i −0.164751 + 0.336343i
\(271\) 17.4192 + 25.6915i 1.05814 + 1.56065i 0.805053 + 0.593203i \(0.202137\pi\)
0.253091 + 0.967443i \(0.418553\pi\)
\(272\) 1.64883 7.49069i 0.0999748 0.454190i
\(273\) −7.30194 + 27.4314i −0.441933 + 1.66022i
\(274\) 5.24270 2.08888i 0.316723 0.126194i
\(275\) 3.06708 + 1.03342i 0.184952 + 0.0623175i
\(276\) −12.8797 + 13.8909i −0.775268 + 0.836132i
\(277\) 9.89642 2.17837i 0.594618 0.130885i 0.0925420 0.995709i \(-0.470501\pi\)
0.502076 + 0.864823i \(0.332570\pi\)
\(278\) −0.167338 + 3.08637i −0.0100363 + 0.185108i
\(279\) −12.7747 1.81529i −0.764799 0.108678i
\(280\) −16.6847 14.1721i −0.997102 0.846946i
\(281\) 4.40651 + 1.75571i 0.262870 + 0.104737i 0.497850 0.867263i \(-0.334123\pi\)
−0.234980 + 0.972000i \(0.575502\pi\)
\(282\) −5.53621 + 7.44635i −0.329676 + 0.443424i
\(283\) −11.8133 + 19.6338i −0.702227 + 1.16711i 0.276316 + 0.961067i \(0.410886\pi\)
−0.978543 + 0.206044i \(0.933941\pi\)
\(284\) −0.155059 + 0.0254207i −0.00920109 + 0.00150844i
\(285\) 9.28809 1.11054i 0.550179 0.0657827i
\(286\) −0.765021 1.00637i −0.0452366 0.0595077i
\(287\) 40.3886 11.2138i 2.38407 0.661932i
\(288\) −0.982953 12.9935i −0.0579211 0.765648i
\(289\) −10.5739 1.14998i −0.621995 0.0676460i
\(290\) −4.23994 + 2.55109i −0.248978 + 0.149805i
\(291\) 17.5464 + 20.2160i 1.02859 + 1.18508i
\(292\) −6.05032 17.9567i −0.354068 1.05084i
\(293\) 1.26764 2.73996i 0.0740564 0.160070i −0.867011 0.498288i \(-0.833962\pi\)
0.941068 + 0.338218i \(0.109824\pi\)
\(294\) 0.121576 + 11.3935i 0.00709048 + 0.664482i
\(295\) −8.25801 20.8595i −0.480800 1.21449i
\(296\) 8.18875i 0.475961i
\(297\) 1.86061 4.38470i 0.107963 0.254426i
\(298\) −6.83169 + 2.30186i −0.395749 + 0.133343i
\(299\) 15.4440 13.1183i 0.893152 0.758650i
\(300\) −5.88952 9.55613i −0.340031 0.551724i
\(301\) 1.90421 17.5089i 0.109757 1.00920i
\(302\) −0.584980 + 0.0317167i −0.0336618 + 0.00182509i
\(303\) 13.7066 3.96362i 0.787424 0.227704i
\(304\) −4.47568 + 3.40233i −0.256698 + 0.195137i
\(305\) 23.2855 2.53245i 1.33332 0.145008i
\(306\) 3.01707 0.560982i 0.172474 0.0320692i
\(307\) 11.5689 + 6.96077i 0.660272 + 0.397272i 0.805887 0.592069i \(-0.201689\pi\)
−0.145616 + 0.989341i \(0.546516\pi\)
\(308\) 6.45515 + 4.90708i 0.367816 + 0.279607i
\(309\) 1.97818 5.12318i 0.112535 0.291448i
\(310\) −3.29772 + 3.88238i −0.187298 + 0.220504i
\(311\) 23.8673 + 3.91284i 1.35339 + 0.221877i 0.794449 0.607331i \(-0.207760\pi\)
0.558941 + 0.829208i \(0.311208\pi\)
\(312\) −0.398360 + 9.15295i −0.0225527 + 0.518184i
\(313\) −0.908377 4.12680i −0.0513445 0.233260i 0.943959 0.330062i \(-0.107070\pi\)
−0.995304 + 0.0968018i \(0.969139\pi\)
\(314\) −4.33150 + 4.57271i −0.244441 + 0.258053i
\(315\) −12.6257 + 40.2936i −0.711377 + 2.27029i
\(316\) 0.386596 + 0.970282i 0.0217477 + 0.0545826i
\(317\) −21.3520 5.92835i −1.19925 0.332969i −0.390210 0.920726i \(-0.627597\pi\)
−0.809038 + 0.587757i \(0.800011\pi\)
\(318\) −5.01282 1.04745i −0.281105 0.0587383i
\(319\) 3.16992 2.14926i 0.177481 0.120335i
\(320\) 11.1469 + 5.90970i 0.623129 + 0.330362i
\(321\) 4.59453 + 8.44716i 0.256442 + 0.471475i
\(322\) 6.53396 9.63686i 0.364123 0.537041i
\(323\) −3.20782 3.38645i −0.178488 0.188427i
\(324\) −14.6836 + 7.57005i −0.815758 + 0.420558i
\(325\) 5.04187 + 10.8978i 0.279672 + 0.604502i
\(326\) 4.86131 4.60488i 0.269243 0.255041i
\(327\) −8.12065 + 12.2566i −0.449073 + 0.677792i
\(328\) 11.9524 6.33678i 0.659962 0.349890i
\(329\) −29.8216 + 56.2495i −1.64412 + 3.10114i
\(330\) −1.07181 1.54505i −0.0590012 0.0850522i
\(331\) −5.02184 1.10539i −0.276025 0.0607577i 0.0748005 0.997199i \(-0.476168\pi\)
−0.350826 + 0.936441i \(0.614099\pi\)
\(332\) 2.56653 9.24379i 0.140856 0.507319i
\(333\) −14.5451 + 6.15812i −0.797067 + 0.337463i
\(334\) −0.207606 + 0.616151i −0.0113597 + 0.0337143i
\(335\) 0.183846 + 0.174148i 0.0100446 + 0.00951472i
\(336\) −5.71970 24.7252i −0.312035 1.34887i
\(337\) 24.0715 + 1.30512i 1.31126 + 0.0710943i 0.696463 0.717593i \(-0.254756\pi\)
0.614795 + 0.788687i \(0.289239\pi\)
\(338\) −0.0940688 + 0.573794i −0.00511667 + 0.0312103i
\(339\) 21.9373 + 18.2344i 1.19147 + 0.990356i
\(340\) −5.00592 + 12.5639i −0.271484 + 0.681374i
\(341\) 2.38595 3.13866i 0.129206 0.169968i
\(342\) −1.95171 1.11829i −0.105537 0.0604702i
\(343\) 7.19059 + 43.8607i 0.388256 + 2.36825i
\(344\) −0.614572 5.65090i −0.0331355 0.304676i
\(345\) 23.7999 18.4962i 1.28135 0.995804i
\(346\) 1.74588 + 6.28809i 0.0938591 + 0.338050i
\(347\) −1.89851 35.0160i −0.101917 1.87976i −0.388149 0.921596i \(-0.626886\pi\)
0.286232 0.958160i \(-0.407597\pi\)
\(348\) −13.2199 1.29518i −0.708659 0.0694289i
\(349\) −7.49064 12.4495i −0.400965 0.666409i 0.588934 0.808181i \(-0.299548\pi\)
−0.989899 + 0.141772i \(0.954720\pi\)
\(350\) 4.46658 + 5.25847i 0.238749 + 0.281077i
\(351\) 16.5573 6.17564i 0.883765 0.329631i
\(352\) 3.61358 + 1.67182i 0.192604 + 0.0891082i
\(353\) −24.4683 −1.30232 −0.651158 0.758942i \(-0.725717\pi\)
−0.651158 + 0.758942i \(0.725717\pi\)
\(354\) −1.39919 + 5.21019i −0.0743660 + 0.276919i
\(355\) 0.250023 0.0132698
\(356\) −18.7622 8.68032i −0.994395 0.460056i
\(357\) 19.8809 6.93575i 1.05221 0.367079i
\(358\) −4.38755 5.16542i −0.231889 0.273001i
\(359\) 0.306474 + 0.509364i 0.0161751 + 0.0268832i 0.864839 0.502049i \(-0.167420\pi\)
−0.848664 + 0.528932i \(0.822593\pi\)
\(360\) −1.18401 + 13.5765i −0.0624028 + 0.715544i
\(361\) −0.843533 15.5581i −0.0443965 0.818845i
\(362\) −0.982543 3.53880i −0.0516413 0.185995i
\(363\) −10.7982 13.8945i −0.566759 0.729275i
\(364\) 3.25257 + 29.9068i 0.170481 + 1.56754i
\(365\) 4.87786 + 29.7536i 0.255319 + 1.55738i
\(366\) −4.85688 2.85215i −0.253873 0.149084i
\(367\) −9.95691 + 13.0981i −0.519747 + 0.683715i −0.978829 0.204679i \(-0.934385\pi\)
0.459083 + 0.888394i \(0.348178\pi\)
\(368\) −6.70540 + 16.8293i −0.349543 + 0.877287i
\(369\) −20.2441 16.4649i −1.05386 0.857128i
\(370\) −1.00881 + 6.15349i −0.0524457 + 0.319905i
\(371\) −35.0861 1.90231i −1.82158 0.0987632i
\(372\) −13.3224 + 3.08187i −0.690732 + 0.159788i
\(373\) −9.68742 9.17641i −0.501596 0.475137i 0.394564 0.918868i \(-0.370896\pi\)
−0.896160 + 0.443732i \(0.853654\pi\)
\(374\) −0.299403 + 0.888598i −0.0154818 + 0.0459483i
\(375\) −2.82471 6.87522i −0.145867 0.355035i
\(376\) −5.49712 + 19.7988i −0.283492 + 1.02105i
\(377\) 13.8768 + 3.05451i 0.714690 + 0.157315i
\(378\) 8.21754 5.96426i 0.422664 0.306768i
\(379\) 4.31299 8.13517i 0.221544 0.417876i −0.747679 0.664060i \(-0.768832\pi\)
0.969223 + 0.246184i \(0.0791768\pi\)
\(380\) 8.75855 4.64349i 0.449304 0.238206i
\(381\) 8.53777 + 5.65672i 0.437403 + 0.289802i
\(382\) 0.750088 0.710522i 0.0383779 0.0363534i
\(383\) −0.918583 1.98548i −0.0469374 0.101454i 0.882688 0.469959i \(-0.155731\pi\)
−0.929625 + 0.368506i \(0.879869\pi\)
\(384\) −7.76638 16.3273i −0.396326 0.833199i
\(385\) −8.87284 9.36694i −0.452202 0.477384i
\(386\) −2.52310 + 3.72129i −0.128422 + 0.189409i
\(387\) −9.57513 + 5.34122i −0.486731 + 0.271510i
\(388\) 25.0639 + 13.2881i 1.27243 + 0.674599i
\(389\) 12.4873 8.46661i 0.633132 0.429274i −0.201953 0.979395i \(-0.564729\pi\)
0.835085 + 0.550121i \(0.185418\pi\)
\(390\) 1.42695 6.82897i 0.0722563 0.345798i
\(391\) −14.4827 4.02111i −0.732424 0.203356i
\(392\) 9.33932 + 23.4399i 0.471707 + 1.18389i
\(393\) −2.92928 + 9.01040i −0.147763 + 0.454515i
\(394\) −2.21134 + 2.33449i −0.111406 + 0.117610i
\(395\) −0.357267 1.62308i −0.0179761 0.0816661i
\(396\) 0.165664 5.04510i 0.00832494 0.253526i
\(397\) −6.23923 1.02287i −0.313138 0.0513364i 0.00316380 0.999995i \(-0.498993\pi\)
−0.316302 + 0.948659i \(0.602441\pi\)
\(398\) −0.445525 + 0.524513i −0.0223322 + 0.0262915i
\(399\) −14.3979 5.55936i −0.720795 0.278316i
\(400\) −8.54610 6.49657i −0.427305 0.324829i
\(401\) −12.4715 7.50384i −0.622796 0.374724i 0.168905 0.985632i \(-0.445977\pi\)
−0.791701 + 0.610908i \(0.790804\pi\)
\(402\) −0.0104922 0.0599835i −0.000523304 0.00299170i
\(403\) 14.5415 1.58148i 0.724363 0.0787792i
\(404\) 12.0377 9.15083i 0.598898 0.455271i
\(405\) 25.0054 8.10674i 1.24253 0.402827i
\(406\) 8.15230 0.442005i 0.404592 0.0219363i
\(407\) 0.521810 4.79796i 0.0258652 0.237826i
\(408\) 5.78524 3.56549i 0.286412 0.176518i
\(409\) −12.6357 + 10.7329i −0.624795 + 0.530706i −0.902903 0.429844i \(-0.858569\pi\)
0.278108 + 0.960550i \(0.410293\pi\)
\(410\) −9.76239 + 3.28933i −0.482130 + 0.162448i
\(411\) −21.9846 9.88776i −1.08442 0.487727i
\(412\) 5.82007i 0.286734i
\(413\) −4.08310 + 36.7898i −0.200916 + 1.81031i
\(414\) −7.24655 + 0.154669i −0.356148 + 0.00760156i
\(415\) −6.40962 + 13.8542i −0.314636 + 0.680074i
\(416\) 4.71669 + 13.9986i 0.231255 + 0.686339i
\(417\) 9.97071 8.65403i 0.488268 0.423790i
\(418\) 0.588930 0.354347i 0.0288055 0.0173317i
\(419\) −5.78332 0.628974i −0.282534 0.0307274i −0.0342449 0.999413i \(-0.510903\pi\)
−0.248289 + 0.968686i \(0.579868\pi\)
\(420\) 2.89931 + 44.6551i 0.141472 + 2.17895i
\(421\) 17.3690 4.82248i 0.846514 0.235034i 0.182921 0.983128i \(-0.441445\pi\)
0.663593 + 0.748094i \(0.269031\pi\)
\(422\) −3.30743 4.35085i −0.161003 0.211796i
\(423\) 39.3013 5.12501i 1.91089 0.249186i
\(424\) −11.1911 + 1.83469i −0.543487 + 0.0891002i
\(425\) 4.59192 7.63182i 0.222741 0.370198i
\(426\) −0.0482484 0.0358717i −0.00233764 0.00173799i
\(427\) −35.9013 14.3044i −1.73738 0.692237i
\(428\) 7.76685 + 6.59722i 0.375425 + 0.318889i
\(429\) −0.816659 + 5.33753i −0.0394287 + 0.257698i
\(430\) −0.234338 + 4.32212i −0.0113008 + 0.208431i
\(431\) 1.82874 0.402537i 0.0880875 0.0193895i −0.170708 0.985322i \(-0.554605\pi\)
0.258795 + 0.965932i \(0.416674\pi\)
\(432\) −10.4921 + 11.8117i −0.504802 + 0.568289i
\(433\) 12.1473 + 4.09291i 0.583764 + 0.196693i 0.595660 0.803236i \(-0.296890\pi\)
−0.0118968 + 0.999929i \(0.503787\pi\)
\(434\) 7.80768 3.11087i 0.374781 0.149326i
\(435\) 20.4248 + 5.43686i 0.979294 + 0.260677i
\(436\) −3.34955 + 15.2172i −0.160414 + 0.728770i
\(437\) 6.18277 + 9.11891i 0.295762 + 0.436217i
\(438\) 3.32755 6.44159i 0.158997 0.307791i
\(439\) 11.2584 + 21.2357i 0.537336 + 1.01352i 0.992399 + 0.123064i \(0.0392719\pi\)
−0.455063 + 0.890459i \(0.650383\pi\)
\(440\) −3.44659 2.33685i −0.164310 0.111405i
\(441\) 34.6113 34.2161i 1.64816 1.62934i
\(442\) −3.15733 + 1.46074i −0.150179 + 0.0694802i
\(443\) −22.5983 + 10.4551i −1.07368 + 0.496736i −0.875394 0.483409i \(-0.839398\pi\)
−0.198282 + 0.980145i \(0.563536\pi\)
\(444\) −12.0290 + 11.6405i −0.570869 + 0.552431i
\(445\) 27.2264 + 18.4599i 1.29065 + 0.875085i
\(446\) 4.30237 + 8.11513i 0.203723 + 0.384262i
\(447\) 27.3583 + 14.1326i 1.29400 + 0.668447i
\(448\) −11.6819 17.2296i −0.551920 0.814021i
\(449\) 3.82932 17.3968i 0.180717 0.821006i −0.795799 0.605561i \(-0.792949\pi\)
0.976516 0.215445i \(-0.0691201\pi\)
\(450\) 1.06049 4.16212i 0.0499919 0.196204i
\(451\) 7.40698 2.95121i 0.348781 0.138967i
\(452\) 28.6486 + 9.65282i 1.34751 + 0.454031i
\(453\) 1.83496 + 1.70139i 0.0862141 + 0.0799384i
\(454\) 6.88770 1.51610i 0.323256 0.0711540i
\(455\) 2.59152 47.7978i 0.121492 2.24080i
\(456\) −4.92390 0.753374i −0.230583 0.0352800i
\(457\) 17.5011 + 14.8656i 0.818669 + 0.695384i 0.955429 0.295220i \(-0.0953931\pi\)
−0.136760 + 0.990604i \(0.543669\pi\)
\(458\) −8.24584 3.28544i −0.385303 0.153519i
\(459\) −10.6838 7.59460i −0.498675 0.354486i
\(460\) 16.4687 27.3712i 0.767856 1.27619i
\(461\) −27.5969 + 4.52428i −1.28532 + 0.210717i −0.765430 0.643519i \(-0.777474\pi\)
−0.519885 + 0.854236i \(0.674025\pi\)
\(462\) 0.368337 + 3.08062i 0.0171366 + 0.143323i
\(463\) −8.66736 11.4017i −0.402806 0.529883i 0.549310 0.835619i \(-0.314891\pi\)
−0.952116 + 0.305736i \(0.901097\pi\)
\(464\) −12.2401 + 3.39844i −0.568231 + 0.157769i
\(465\) 21.7125 1.40972i 1.00689 0.0653741i
\(466\) 0.346396 + 0.0376729i 0.0160465 + 0.00174516i
\(467\) −7.05427 + 4.24441i −0.326432 + 0.196408i −0.669331 0.742965i \(-0.733419\pi\)
0.342898 + 0.939373i \(0.388591\pi\)
\(468\) 14.0116 12.4259i 0.647687 0.574388i
\(469\) −0.133410 0.395946i −0.00616029 0.0182831i
\(470\) 6.56996 14.2007i 0.303050 0.655031i
\(471\) 26.9022 0.287064i 1.23959 0.0132272i
\(472\) 1.26551 + 11.8794i 0.0582497 + 0.546793i
\(473\) 3.35015i 0.154040i
\(474\) −0.163926 + 0.364475i −0.00752935 + 0.0167409i
\(475\) −6.18683 + 2.08459i −0.283871 + 0.0956474i
\(476\) 17.0073 14.4461i 0.779527 0.662136i
\(477\) 11.6748 + 18.4982i 0.534551 + 0.846976i
\(478\) −0.0946983 + 0.870736i −0.00433140 + 0.0398265i
\(479\) −8.62394 + 0.467576i −0.394038 + 0.0213641i −0.250093 0.968222i \(-0.580461\pi\)
−0.143944 + 0.989586i \(0.545979\pi\)
\(480\) 6.10408 + 21.1085i 0.278612 + 0.963467i
\(481\) 14.2546 10.8361i 0.649955 0.494083i
\(482\) −3.85734 + 0.419511i −0.175697 + 0.0191082i
\(483\) −48.9888 + 8.56903i −2.22907 + 0.389905i
\(484\) −15.9794 9.61451i −0.726338 0.437023i
\(485\) −35.9354 27.3174i −1.63174 1.24042i
\(486\) −5.98855 2.02321i −0.271646 0.0917745i
\(487\) −13.8554 + 16.3119i −0.627849 + 0.739161i −0.980484 0.196600i \(-0.937010\pi\)
0.352634 + 0.935761i \(0.385286\pi\)
\(488\) −12.3085 2.01787i −0.557179 0.0913449i
\(489\) −28.5746 1.24364i −1.29219 0.0562394i
\(490\) −4.13041 18.7646i −0.186593 0.847699i
\(491\) −14.2035 + 14.9945i −0.640996 + 0.676692i −0.962831 0.270104i \(-0.912942\pi\)
0.321835 + 0.946796i \(0.395700\pi\)
\(492\) −26.2991 8.54982i −1.18565 0.385456i
\(493\) −3.90112 9.79108i −0.175698 0.440968i
\(494\) 2.45703 + 0.682192i 0.110547 + 0.0306933i
\(495\) −1.55887 + 7.87931i −0.0700659 + 0.354149i
\(496\) −10.8237 + 7.33867i −0.485999 + 0.329516i
\(497\) −0.364467 0.193228i −0.0163486 0.00866747i
\(498\) 3.22461 1.75391i 0.144498 0.0785947i
\(499\) 16.1365 23.7995i 0.722367 1.06541i −0.272293 0.962214i \(-0.587782\pi\)
0.994661 0.103198i \(-0.0329075\pi\)
\(500\) −5.41709 5.71875i −0.242260 0.255750i
\(501\) 2.50795 1.19295i 0.112047 0.0532972i
\(502\) −1.90944 4.12719i −0.0852226 0.184206i
\(503\) −17.3142 + 16.4009i −0.772003 + 0.731280i −0.968443 0.249236i \(-0.919821\pi\)
0.196440 + 0.980516i \(0.437062\pi\)
\(504\) 12.2185 18.8759i 0.544254 0.840799i
\(505\) −21.2576 + 11.2701i −0.945950 + 0.501511i
\(506\) 1.03740 1.95674i 0.0461179 0.0869876i
\(507\) 2.04069 1.41564i 0.0906301 0.0628707i
\(508\) 10.6000 + 2.33325i 0.470301 + 0.103521i
\(509\) −1.82735 + 6.58153i −0.0809960 + 0.291721i −0.992944 0.118585i \(-0.962164\pi\)
0.911948 + 0.410306i \(0.134578\pi\)
\(510\) −4.78661 + 1.96660i −0.211955 + 0.0870823i
\(511\) 15.8842 47.1428i 0.702678 2.08547i
\(512\) −16.4541 15.5861i −0.727174 0.688815i
\(513\) 2.36472 + 9.31255i 0.104405 + 0.411159i
\(514\) 5.83270 + 0.316240i 0.257269 + 0.0139487i
\(515\) −1.49823 + 9.13882i −0.0660201 + 0.402705i
\(516\) −7.42733 + 8.93564i −0.326970 + 0.393370i
\(517\) −4.48252 + 11.2503i −0.197141 + 0.494786i
\(518\) 6.22626 8.19051i 0.273566 0.359870i
\(519\) 14.1155 24.0370i 0.619600 1.05511i
\(520\) −2.49939 15.2456i −0.109606 0.668565i
\(521\) −0.392707 3.61088i −0.0172048 0.158196i 0.982384 0.186874i \(-0.0598356\pi\)
−0.999589 + 0.0286784i \(0.990870\pi\)
\(522\) −3.16145 3.97961i −0.138373 0.174183i
\(523\) −6.71300 24.1780i −0.293539 1.05723i −0.952371 0.304942i \(-0.901363\pi\)
0.658832 0.752290i \(-0.271051\pi\)
\(524\) 0.543602 + 10.0262i 0.0237474 + 0.437994i
\(525\) 2.87351 29.3298i 0.125410 1.28006i
\(526\) −3.10170 5.15507i −0.135241 0.224772i
\(527\) −7.02407 8.26937i −0.305973 0.360220i
\(528\) −1.59012 4.55798i −0.0692009 0.198361i
\(529\) 11.3456 + 5.24904i 0.493288 + 0.228219i
\(530\) 8.63564 0.375108
\(531\) 20.1489 11.1814i 0.874386 0.485231i
\(532\) −16.3563 −0.709137
\(533\) 26.8473 + 12.4209i 1.16289 + 0.538008i
\(534\) −2.60553 7.46860i −0.112752 0.323198i
\(535\) −10.4974 12.3585i −0.453843 0.534306i
\(536\) −0.0695215 0.115546i −0.00300287 0.00499081i
\(537\) −2.82266 + 28.8109i −0.121807 + 1.24328i
\(538\) 0.347743 + 6.41374i 0.0149923 + 0.276516i
\(539\) 3.97845 + 14.3291i 0.171364 + 0.617197i
\(540\) 21.6264 17.5600i 0.930654 0.755660i
\(541\) 1.05703 + 9.71922i 0.0454452 + 0.417862i 0.994658 + 0.103227i \(0.0329167\pi\)
−0.949213 + 0.314635i \(0.898118\pi\)
\(542\) 2.03629 + 12.4208i 0.0874663 + 0.533521i
\(543\) −7.94387 + 13.5275i −0.340904 + 0.580520i
\(544\) 6.63101 8.72294i 0.284302 0.373993i
\(545\) 9.17684 23.0321i 0.393093 0.986588i
\(546\) −7.35784 + 8.85203i −0.314886 + 0.378832i
\(547\) 3.13949 19.1500i 0.134235 0.818797i −0.830780 0.556601i \(-0.812105\pi\)
0.965015 0.262196i \(-0.0844465\pi\)
\(548\) −25.5091 1.38306i −1.08970 0.0590816i
\(549\) 5.67204 + 23.3802i 0.242077 + 0.997843i
\(550\) 0.952791 + 0.902531i 0.0406271 + 0.0384841i
\(551\) −2.46675 + 7.32107i −0.105087 + 0.311888i
\(552\) −14.8467 + 6.09982i −0.631917 + 0.259625i
\(553\) −0.733586 + 2.64214i −0.0311953 + 0.112355i
\(554\) 4.01297 + 0.883322i 0.170495 + 0.0375288i
\(555\) 21.8847 15.1816i 0.928956 0.644423i
\(556\) 6.55380 12.3618i 0.277943 0.524256i
\(557\) −9.47291 + 5.02222i −0.401380 + 0.212798i −0.656854 0.754018i \(-0.728113\pi\)
0.255474 + 0.966816i \(0.417768\pi\)
\(558\) −4.39225 2.84313i −0.185939 0.120359i
\(559\) 9.02359 8.54760i 0.381657 0.361525i
\(560\) 17.9691 + 38.8397i 0.759335 + 1.64128i
\(561\) 3.61690 1.72044i 0.152706 0.0726372i
\(562\) 1.32275 + 1.39641i 0.0557968 + 0.0589039i
\(563\) 5.71732 8.43242i 0.240956 0.355384i −0.687912 0.725794i \(-0.741473\pi\)
0.928868 + 0.370410i \(0.120783\pi\)
\(564\) 36.8980 20.0693i 1.55369 0.845072i
\(565\) −42.4999 22.5320i −1.78798 0.947928i
\(566\) −7.69046 + 5.21426i −0.323254 + 0.219172i
\(567\) −42.7165 7.50774i −1.79393 0.315296i
\(568\) −0.128286 0.0356184i −0.00538276 0.00149452i
\(569\) 10.7450 + 26.9680i 0.450455 + 1.13056i 0.962423 + 0.271553i \(0.0875373\pi\)
−0.511968 + 0.859005i \(0.671083\pi\)
\(570\) 3.60729 + 1.17273i 0.151093 + 0.0491202i
\(571\) −17.5489 + 18.5262i −0.734399 + 0.775296i −0.981039 0.193812i \(-0.937915\pi\)
0.246640 + 0.969107i \(0.420674\pi\)
\(572\) 1.23014 + 5.58858i 0.0514347 + 0.233670i
\(573\) −4.40900 0.191891i −0.184189 0.00801636i
\(574\) 16.7731 + 2.74981i 0.700097 + 0.114775i
\(575\) −13.6191 + 16.0336i −0.567955 + 0.668648i
\(576\) −4.53861 + 12.1381i −0.189109 + 0.505756i
\(577\) 25.8467 + 19.6482i 1.07601 + 0.817965i 0.984067 0.177799i \(-0.0568978\pi\)
0.0919472 + 0.995764i \(0.470691\pi\)
\(578\) −3.69561 2.22357i −0.153717 0.0924885i
\(579\) 18.9171 3.30894i 0.786167 0.137515i
\(580\) 22.2680 2.42179i 0.924627 0.100559i
\(581\) 20.0506 15.2421i 0.831840 0.632348i
\(582\) 3.01535 + 10.4274i 0.124990 + 0.432229i
\(583\) −6.67401 + 0.361854i −0.276409 + 0.0149865i
\(584\) 1.73591 15.9614i 0.0718324 0.660488i
\(585\) −25.2002 + 15.9045i −1.04190 + 0.657572i
\(586\) 0.933034 0.792526i 0.0385433 0.0327390i
\(587\) −7.78232 + 2.62217i −0.321211 + 0.108228i −0.475288 0.879830i \(-0.657656\pi\)
0.154077 + 0.988059i \(0.450760\pi\)
\(588\) 21.1563 47.0394i 0.872473 1.93987i
\(589\) 7.95288i 0.327693i
\(590\) 0.512509 9.08274i 0.0210996 0.373931i
\(591\) 13.7343 0.146554i 0.564952 0.00602842i
\(592\) −6.72162 + 14.5285i −0.276257 + 0.597119i
\(593\) −3.28737 9.75656i −0.134996 0.400654i 0.858739 0.512413i \(-0.171248\pi\)
−0.993735 + 0.111759i \(0.964352\pi\)
\(594\) 1.43130 1.29686i 0.0587269 0.0532109i
\(595\) −30.4241 + 18.3055i −1.24726 + 0.750454i
\(596\) 32.4420 + 3.52828i 1.32888 + 0.144524i
\(597\) 2.93338 0.190454i 0.120055 0.00779478i
\(598\) 7.91728 2.19822i 0.323762 0.0898920i
\(599\) 8.42814 + 11.0870i 0.344365 + 0.453004i 0.935374 0.353661i \(-0.115063\pi\)
−0.591009 + 0.806665i \(0.701270\pi\)
\(600\) −1.12919 9.44410i −0.0460991 0.385554i
\(601\) 16.4429 2.69567i 0.670718 0.109959i 0.183206 0.983075i \(-0.441353\pi\)
0.487513 + 0.873116i \(0.337904\pi\)
\(602\) 3.68192 6.11940i 0.150064 0.249408i
\(603\) −0.152954 + 0.210379i −0.00622877 + 0.00856731i
\(604\) 2.46358 + 0.981579i 0.100242 + 0.0399399i
\(605\) 22.6163 + 19.2105i 0.919485 + 0.781017i
\(606\) 5.71917 + 0.875052i 0.232325 + 0.0355465i
\(607\) 0.325501 6.00352i 0.0132117 0.243675i −0.984467 0.175572i \(-0.943823\pi\)
0.997678 0.0681032i \(-0.0216947\pi\)
\(608\) −7.84376 + 1.72654i −0.318106 + 0.0700205i
\(609\) −25.5721 23.7107i −1.03623 0.960805i
\(610\) 9.00070 + 3.03269i 0.364428 + 0.122790i
\(611\) −41.7393 + 16.6304i −1.68859 + 0.672795i
\(612\) −13.4614 3.42989i −0.544145 0.138645i
\(613\) 8.98255 40.8081i 0.362802 1.64823i −0.342647 0.939464i \(-0.611323\pi\)
0.705449 0.708761i \(-0.250745\pi\)
\(614\) 3.07241 + 4.53147i 0.123992 + 0.182875i
\(615\) 39.0946 + 20.1952i 1.57645 + 0.814350i
\(616\) 3.21821 + 6.07019i 0.129665 + 0.244575i
\(617\) 8.97584 + 6.08577i 0.361354 + 0.245004i 0.728330 0.685226i \(-0.240297\pi\)
−0.366977 + 0.930230i \(0.619607\pi\)
\(618\) 1.60030 1.54862i 0.0643737 0.0622946i
\(619\) −17.5486 + 8.11886i −0.705339 + 0.326325i −0.739561 0.673090i \(-0.764967\pi\)
0.0342217 + 0.999414i \(0.489105\pi\)
\(620\) 20.9274 9.68207i 0.840467 0.388841i
\(621\) 21.9997 + 21.7839i 0.882818 + 0.874160i
\(622\) 8.11742 + 5.50375i 0.325479 + 0.220680i
\(623\) −25.4223 47.9515i −1.01852 1.92114i
\(624\) 8.21984 15.9122i 0.329057 0.637000i
\(625\) 16.9409 + 24.9860i 0.677636 + 0.999438i
\(626\) 0.368345 1.67341i 0.0147220 0.0668828i
\(627\) −2.83701 0.755183i −0.113299 0.0301591i
\(628\) 26.4867 10.5533i 1.05693 0.421121i
\(629\) −12.5865 4.24088i −0.501856 0.169095i
\(630\) −11.5071 + 12.6792i −0.458452 + 0.505150i
\(631\) −23.0264 + 5.06849i −0.916666 + 0.201773i −0.648160 0.761504i \(-0.724461\pi\)
−0.268506 + 0.963278i \(0.586530\pi\)
\(632\) −0.0479126 + 0.883696i −0.00190586 + 0.0351515i
\(633\) −3.53068 + 23.0758i −0.140332 + 0.917182i
\(634\) −6.84857 5.81723i −0.271991 0.231032i
\(635\) −16.0438 6.39245i −0.636680 0.253677i
\(636\) 18.6034 + 13.8312i 0.737673 + 0.548445i
\(637\) −28.4446 + 47.2753i −1.12702 + 1.87311i
\(638\) 1.53253 0.251246i 0.0606736 0.00994693i
\(639\) 0.0332073 + 0.254651i 0.00131366 + 0.0100738i
\(640\) 18.4509 + 24.2718i 0.729338 + 0.959427i
\(641\) 6.51081 1.80772i 0.257162 0.0714006i −0.136555 0.990633i \(-0.543603\pi\)
0.393716 + 0.919232i \(0.371189\pi\)
\(642\) 0.252630 + 3.89101i 0.00997052 + 0.153566i
\(643\) −33.8378 3.68008i −1.33443 0.145128i −0.587066 0.809539i \(-0.699717\pi\)
−0.747367 + 0.664411i \(0.768682\pi\)
\(644\) −45.1606 + 27.1722i −1.77958 + 1.07074i
\(645\) 13.9629 12.1190i 0.549787 0.477185i
\(646\) −0.603950 1.79246i −0.0237621 0.0705233i
\(647\) 10.7219 23.1750i 0.421521 0.911103i −0.574202 0.818714i \(-0.694688\pi\)
0.995723 0.0923891i \(-0.0294504\pi\)
\(648\) −13.9851 + 0.597262i −0.549386 + 0.0234627i
\(649\) −0.0155005 + 7.04103i −0.000608448 + 0.276385i
\(650\) 4.86906i 0.190980i
\(651\) −32.7406 14.7253i −1.28320 0.577132i
\(652\) −28.7245 + 9.67839i −1.12494 + 0.379035i
\(653\) 11.6327 9.88095i 0.455225 0.386671i −0.390231 0.920717i \(-0.627605\pi\)
0.845456 + 0.534046i \(0.179329\pi\)
\(654\) −5.07542 + 3.12802i −0.198465 + 0.122315i
\(655\) 1.72741 15.8833i 0.0674955 0.620611i
\(656\) −26.4075 + 1.43178i −1.03104 + 0.0559014i
\(657\) −29.6566 + 8.91996i −1.15701 + 0.348001i
\(658\) −20.5522 + 15.6234i −0.801209 + 0.609063i
\(659\) 25.5033 2.77365i 0.993466 0.108046i 0.403078 0.915166i \(-0.367940\pi\)
0.590388 + 0.807120i \(0.298975\pi\)
\(660\) 1.46665 + 8.38478i 0.0570894 + 0.326377i
\(661\) 0.324261 + 0.195101i 0.0126123 + 0.00758855i 0.521846 0.853040i \(-0.325244\pi\)
−0.509234 + 0.860628i \(0.670071\pi\)
\(662\) −1.65993 1.26184i −0.0645149 0.0490430i
\(663\) 13.8622 + 5.35253i 0.538363 + 0.207875i
\(664\) 5.26243 6.19541i 0.204222 0.240429i
\(665\) 25.6832 + 4.21054i 0.995951 + 0.163278i
\(666\) −6.40140 0.210200i −0.248049 0.00814510i
\(667\) 5.35142 + 24.3117i 0.207208 + 0.941354i
\(668\) 2.02404 2.13676i 0.0783126 0.0826736i
\(669\) 12.1298 37.3111i 0.468967 1.44253i
\(670\) 0.0380077 + 0.0953922i 0.00146837 + 0.00368532i
\(671\) −7.08322 1.96665i −0.273445 0.0759216i
\(672\) 7.41543 35.4882i 0.286057 1.36899i
\(673\) −22.4308 + 15.2085i −0.864644 + 0.586243i −0.910873 0.412687i \(-0.864590\pi\)
0.0462283 + 0.998931i \(0.485280\pi\)
\(674\) 8.63657 + 4.57882i 0.332668 + 0.176370i
\(675\) −15.9257 + 9.10788i −0.612982 + 0.350563i
\(676\) 1.47709 2.17854i 0.0568110 0.0837900i
\(677\) −5.51325 5.82027i −0.211892 0.223691i 0.611383 0.791335i \(-0.290614\pi\)
−0.823274 + 0.567644i \(0.807855\pi\)
\(678\) 4.96871 + 10.4458i 0.190822 + 0.401167i
\(679\) 31.2723 + 67.5940i 1.20012 + 2.59402i
\(680\) −8.31958 + 7.88073i −0.319041 + 0.302212i
\(681\) −25.1127 16.6385i −0.962322 0.637589i
\(682\) 1.41248 0.748848i 0.0540865 0.0286749i
\(683\) 16.4050 30.9431i 0.627719 1.18400i −0.341981 0.939707i \(-0.611098\pi\)
0.969700 0.244297i \(-0.0785572\pi\)
\(684\) 5.89274 + 8.30396i 0.225315 + 0.317510i
\(685\) 39.6991 + 8.73842i 1.51682 + 0.333878i
\(686\) −4.82162 + 17.3659i −0.184090 + 0.663033i
\(687\) 14.4085 + 35.0697i 0.549720 + 1.33799i
\(688\) −3.54808 + 10.5303i −0.135269 + 0.401465i
\(689\) −18.0028 17.0532i −0.685852 0.649673i
\(690\) 11.9081 2.75471i 0.453333 0.104870i
\(691\) 33.7301 + 1.82879i 1.28315 + 0.0695706i 0.683062 0.730360i \(-0.260648\pi\)
0.600092 + 0.799931i \(0.295131\pi\)
\(692\) 4.77923 29.1520i 0.181679 1.10819i
\(693\) 8.36189 10.2812i 0.317642 0.390550i
\(694\) 5.26328 13.2098i 0.199791 0.501438i
\(695\) −13.4732 + 17.7237i −0.511067 + 0.672298i
\(696\) −9.70537 5.69937i −0.367881 0.216034i
\(697\) −3.54986 21.6532i −0.134461 0.820173i
\(698\) −0.636994 5.85707i −0.0241106 0.221693i
\(699\) −0.913289 1.17517i −0.0345438 0.0444490i
\(700\) −8.35535 30.0932i −0.315803 1.13742i
\(701\) 0.728535 + 13.4370i 0.0275164 + 0.507510i 0.979510 + 0.201393i \(0.0645469\pi\)
−0.951994 + 0.306116i \(0.900970\pi\)
\(702\) 7.14492 + 0.546361i 0.269668 + 0.0206211i
\(703\) 5.01913 + 8.34186i 0.189300 + 0.314619i
\(704\) −2.56343 3.01791i −0.0966131 0.113742i
\(705\) −63.1046 + 22.0149i −2.37666 + 0.829130i
\(706\) −9.00482 4.16607i −0.338901 0.156792i
\(707\) 39.6980 1.49300
\(708\) 15.6514 18.7457i 0.588217 0.704508i
\(709\) 15.4083 0.578671 0.289336 0.957228i \(-0.406566\pi\)
0.289336 + 0.957228i \(0.406566\pi\)
\(710\) 0.0920132 + 0.0425699i 0.00345319 + 0.00159762i
\(711\) 1.60568 0.579455i 0.0602177 0.0217313i
\(712\) −11.3400 13.3504i −0.424983 0.500329i
\(713\) 13.2119 + 21.9583i 0.494788 + 0.822344i
\(714\) 8.49749 + 0.832517i 0.318010 + 0.0311562i
\(715\) −0.492954 9.09201i −0.0184354 0.340022i
\(716\) 8.20751 + 29.5608i 0.306729 + 1.10474i
\(717\) 2.95402 2.29573i 0.110320 0.0857358i
\(718\) 0.0260622 + 0.239638i 0.000972631 + 0.00894320i
\(719\) −2.38939 14.5746i −0.0891093 0.543542i −0.993221 0.116245i \(-0.962914\pi\)
0.904111 0.427297i \(-0.140534\pi\)
\(720\) 13.2447 23.1156i 0.493603 0.861469i
\(721\) 9.24691 12.1641i 0.344373 0.453015i
\(722\) 2.33854 5.86930i 0.0870315 0.218433i
\(723\) 12.7454 + 10.5941i 0.474008 + 0.393997i
\(724\) −2.68965 + 16.4061i −0.0999599 + 0.609728i
\(725\) −14.7298 0.798625i −0.547050 0.0296602i
\(726\) −1.60821 6.95202i −0.0596864 0.258014i
\(727\) −1.78440 1.69028i −0.0661799 0.0626889i 0.653895 0.756585i \(-0.273134\pi\)
−0.720075 + 0.693897i \(0.755892\pi\)
\(728\) −8.13902 + 24.1558i −0.301652 + 0.895272i
\(729\) 11.5780 + 24.3916i 0.428814 + 0.903393i
\(730\) −3.27082 + 11.7804i −0.121059 + 0.436014i
\(731\) −9.00397 1.98192i −0.333024 0.0733041i
\(732\) 14.5326 + 20.9491i 0.537139 + 0.774303i
\(733\) −8.82596 + 16.6475i −0.325994 + 0.614890i −0.991291 0.131689i \(-0.957960\pi\)
0.665297 + 0.746579i \(0.268305\pi\)
\(734\) −5.89448 + 3.12505i −0.217569 + 0.115348i
\(735\) −45.3294 + 68.4163i −1.67200 + 2.52357i
\(736\) −18.7887 + 17.7976i −0.692562 + 0.656030i
\(737\) −0.0333713 0.0721308i −0.00122925 0.00265697i
\(738\) −4.64684 9.50624i −0.171053 0.349930i
\(739\) −4.41023 4.65583i −0.162233 0.171267i 0.639811 0.768532i \(-0.279013\pi\)
−0.802044 + 0.597265i \(0.796254\pi\)
\(740\) 15.8406 23.3631i 0.582311 0.858845i
\(741\) −5.20431 9.56825i −0.191185 0.351499i
\(742\) −12.5885 6.67399i −0.462138 0.245010i
\(743\) 33.6748 22.8321i 1.23541 0.837629i 0.244174 0.969732i \(-0.421483\pi\)
0.991236 + 0.132103i \(0.0421729\pi\)
\(744\) −11.3414 2.36985i −0.415798 0.0868831i
\(745\) −50.0331 13.8916i −1.83307 0.508950i
\(746\) −2.00275 5.02652i −0.0733258 0.184034i
\(747\) −14.9620 4.68821i −0.547429 0.171533i
\(748\) 2.91902 3.08157i 0.106730 0.112673i
\(749\) 5.75128 + 26.1284i 0.210147 + 0.954709i
\(750\) 0.131054 3.01116i 0.00478540 0.109952i
\(751\) −2.91592 0.478040i −0.106403 0.0174439i 0.108345 0.994113i \(-0.465445\pi\)
−0.214748 + 0.976669i \(0.568893\pi\)
\(752\) 26.0046 30.6150i 0.948291 1.11641i
\(753\) −6.99671 + 18.1204i −0.254974 + 0.660343i
\(754\) 4.58685 + 3.48684i 0.167043 + 0.126983i
\(755\) −3.61569 2.17549i −0.131588 0.0791742i
\(756\) −45.0967 + 8.88395i −1.64015 + 0.323106i
\(757\) 30.4604 3.31277i 1.10710 0.120405i 0.463744 0.885969i \(-0.346506\pi\)
0.643359 + 0.765565i \(0.277540\pi\)
\(758\) 2.97239 2.25956i 0.107962 0.0820708i
\(759\) −9.08769 + 2.62794i −0.329862 + 0.0953882i
\(760\) 8.38744 0.454754i 0.304244 0.0164956i
\(761\) 5.50709 50.6369i 0.199632 1.83558i −0.282241 0.959343i \(-0.591078\pi\)
0.481873 0.876241i \(-0.339957\pi\)
\(762\) 2.17893 + 3.53546i 0.0789343 + 0.128076i
\(763\) −31.1777 + 26.4825i −1.12871 + 0.958732i
\(764\) −4.43211 + 1.49335i −0.160348 + 0.0540276i
\(765\) 20.2545 + 8.85102i 0.732303 + 0.320009i
\(766\) 0.887099i 0.0320522i
\(767\) −19.0045 + 17.9228i −0.686213 + 0.647155i
\(768\) 0.0814356 + 7.63171i 0.00293855 + 0.275386i
\(769\) 8.53852 18.4557i 0.307907 0.665530i −0.690417 0.723412i \(-0.742573\pi\)
0.998323 + 0.0578824i \(0.0184348\pi\)
\(770\) −1.67053 4.95795i −0.0602016 0.178672i
\(771\) −16.3546 18.8429i −0.588996 0.678610i
\(772\) 17.4388 10.4926i 0.627637 0.377637i
\(773\) 35.5971