Properties

Label 177.2.e.a.7.3
Level $177$
Weight $2$
Character 177.7
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.3
Character \(\chi\) \(=\) 177.7
Dual form 177.2.e.a.76.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.372741 - 0.549752i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(0.576985 - 1.44812i) q^{4} +(2.31671 - 1.07182i) q^{5} +(-0.569126 + 0.342432i) q^{6} +(-0.243434 + 0.876769i) q^{7} +(-2.30852 + 0.508144i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(-0.372741 - 0.549752i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(0.576985 - 1.44812i) q^{4} +(2.31671 - 1.07182i) q^{5} +(-0.569126 + 0.342432i) q^{6} +(-0.243434 + 0.876769i) q^{7} +(-2.30852 + 0.508144i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(-1.45277 - 0.874104i) q^{10} +(-3.02688 + 2.86721i) q^{11} +(-1.41476 - 0.654538i) q^{12} +(4.42728 - 0.481495i) q^{13} +(0.572744 - 0.192980i) q^{14} +(-0.944829 - 2.37134i) q^{15} +(-1.12358 - 1.06431i) q^{16} +(-1.03841 - 3.74003i) q^{17} +(0.311118 + 0.586830i) q^{18} +(2.39487 - 1.82053i) q^{19} +(-0.215426 - 3.97331i) q^{20} +(0.862304 + 0.290544i) q^{21} +(2.70450 + 0.595305i) q^{22} +(-3.29168 + 6.20877i) q^{23} +(0.382418 + 2.33265i) q^{24} +(0.981411 - 1.15541i) q^{25} +(-1.91493 - 2.25443i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(1.12921 + 0.858404i) q^{28} +(0.798933 - 1.17834i) q^{29} +(-0.951474 + 1.40332i) q^{30} +(8.51654 + 6.47411i) q^{31} +(-0.931139 + 5.67970i) q^{32} +(2.69913 + 3.17766i) q^{33} +(-1.66903 + 1.96494i) q^{34} +(0.375777 + 2.29214i) q^{35} +(-0.730172 + 1.37725i) q^{36} +(-3.02084 - 0.664936i) q^{37} +(-1.89351 - 0.637997i) q^{38} +(-0.241101 - 4.44685i) q^{39} +(-4.80353 + 3.65155i) q^{40} +(-0.0318184 - 0.0600158i) q^{41} +(-0.161689 - 0.582351i) q^{42} +(-5.79940 - 5.49349i) q^{43} +(2.40561 + 6.03762i) q^{44} +(-2.41902 + 0.815061i) q^{45} +(4.64023 - 0.504655i) q^{46} +(8.63465 + 3.99482i) q^{47} +(-1.12358 + 1.06431i) q^{48} +(5.28854 + 3.18201i) q^{49} +(-1.00100 - 0.108865i) q^{50} +(-3.79076 + 0.834410i) q^{51} +(1.85721 - 6.68905i) q^{52} +(-1.86531 + 1.12232i) q^{53} +(0.602813 - 0.278891i) q^{54} +(-3.93925 + 9.88678i) q^{55} +(0.116447 - 2.14774i) q^{56} +(-1.68820 - 2.48992i) q^{57} -0.945590 q^{58} +(7.19506 - 2.68907i) q^{59} -3.97914 q^{60} +(-0.597789 - 0.881672i) q^{61} +(0.384688 - 7.09516i) q^{62} +(0.336802 - 0.845309i) q^{63} +(0.660296 - 0.305486i) q^{64} +(9.74064 - 5.86075i) q^{65} +(0.740850 - 2.66830i) q^{66} +(0.687250 - 0.151275i) q^{67} +(-6.01517 - 0.654189i) q^{68} +(6.02145 + 3.62299i) q^{69} +(1.12004 - 1.06096i) q^{70} +(-6.98592 - 3.23203i) q^{71} +(2.34993 - 0.255570i) q^{72} +(-8.75277 + 2.94915i) q^{73} +(0.760440 + 1.90856i) q^{74} +(-1.10058 - 1.04252i) q^{75} +(-1.25455 - 4.51848i) q^{76} +(-1.77704 - 3.35185i) q^{77} +(-2.35480 + 1.79007i) q^{78} +(0.812425 + 14.9843i) q^{79} +(-3.74377 - 1.26142i) q^{80} +(0.976621 + 0.214970i) q^{81} +(-0.0211338 + 0.0398626i) q^{82} +(-0.914386 - 5.57751i) q^{83} +(0.918279 - 1.08108i) q^{84} +(-6.41436 - 7.55157i) q^{85} +(-0.858380 + 5.23589i) q^{86} +(-1.13336 - 0.861555i) q^{87} +(5.53065 - 8.15710i) q^{88} +(1.96053 - 2.89157i) q^{89} +(1.34975 + 1.02605i) q^{90} +(-0.655588 + 3.99891i) q^{91} +(7.09181 + 8.34912i) q^{92} +(6.92569 - 8.15355i) q^{93} +(-1.02233 - 6.23595i) q^{94} +(3.59692 - 6.78452i) q^{95} +(5.62096 + 1.23727i) q^{96} +(-16.3035 - 5.49329i) q^{97} +(-0.221940 - 4.09345i) q^{98} +(3.31913 - 2.52314i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.372741 0.549752i −0.263568 0.388734i 0.672760 0.739861i \(-0.265109\pi\)
−0.936328 + 0.351127i \(0.885798\pi\)
\(3\) 0.0541389 0.998533i 0.0312571 0.576504i
\(4\) 0.576985 1.44812i 0.288492 0.724061i
\(5\) 2.31671 1.07182i 1.03606 0.479335i 0.173262 0.984876i \(-0.444569\pi\)
0.862802 + 0.505541i \(0.168707\pi\)
\(6\) −0.569126 + 0.342432i −0.232345 + 0.139797i
\(7\) −0.243434 + 0.876769i −0.0920093 + 0.331387i −0.995201 0.0978494i \(-0.968804\pi\)
0.903192 + 0.429237i \(0.141217\pi\)
\(8\) −2.30852 + 0.508144i −0.816185 + 0.179656i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) −1.45277 0.874104i −0.459407 0.276416i
\(11\) −3.02688 + 2.86721i −0.912638 + 0.864496i −0.991195 0.132413i \(-0.957727\pi\)
0.0785570 + 0.996910i \(0.474969\pi\)
\(12\) −1.41476 0.654538i −0.408406 0.188949i
\(13\) 4.42728 0.481495i 1.22791 0.133543i 0.528916 0.848674i \(-0.322599\pi\)
0.698990 + 0.715132i \(0.253633\pi\)
\(14\) 0.572744 0.192980i 0.153072 0.0515760i
\(15\) −0.944829 2.37134i −0.243954 0.612278i
\(16\) −1.12358 1.06431i −0.280895 0.266078i
\(17\) −1.03841 3.74003i −0.251853 0.907091i −0.976059 0.217507i \(-0.930207\pi\)
0.724206 0.689583i \(-0.242206\pi\)
\(18\) 0.311118 + 0.586830i 0.0733311 + 0.138317i
\(19\) 2.39487 1.82053i 0.549420 0.417658i −0.293292 0.956023i \(-0.594751\pi\)
0.842712 + 0.538365i \(0.180958\pi\)
\(20\) −0.215426 3.97331i −0.0481708 0.888459i
\(21\) 0.862304 + 0.290544i 0.188170 + 0.0634019i
\(22\) 2.70450 + 0.595305i 0.576601 + 0.126919i
\(23\) −3.29168 + 6.20877i −0.686363 + 1.29462i 0.258138 + 0.966108i \(0.416891\pi\)
−0.944501 + 0.328509i \(0.893454\pi\)
\(24\) 0.382418 + 2.33265i 0.0780607 + 0.476149i
\(25\) 0.981411 1.15541i 0.196282 0.231081i
\(26\) −1.91493 2.25443i −0.375549 0.442131i
\(27\) −0.161782 + 0.986827i −0.0311350 + 0.189915i
\(28\) 1.12921 + 0.858404i 0.213401 + 0.162223i
\(29\) 0.798933 1.17834i 0.148358 0.218812i −0.746247 0.665669i \(-0.768146\pi\)
0.894605 + 0.446857i \(0.147457\pi\)
\(30\) −0.951474 + 1.40332i −0.173715 + 0.256210i
\(31\) 8.51654 + 6.47411i 1.52962 + 1.16278i 0.932794 + 0.360410i \(0.117363\pi\)
0.596822 + 0.802374i \(0.296430\pi\)
\(32\) −0.931139 + 5.67970i −0.164604 + 1.00404i
\(33\) 2.69913 + 3.17766i 0.469859 + 0.553160i
\(34\) −1.66903 + 1.96494i −0.286236 + 0.336984i
\(35\) 0.375777 + 2.29214i 0.0635179 + 0.387442i
\(36\) −0.730172 + 1.37725i −0.121695 + 0.229542i
\(37\) −3.02084 0.664936i −0.496622 0.109315i −0.0404053 0.999183i \(-0.512865\pi\)
−0.456217 + 0.889869i \(0.650796\pi\)
\(38\) −1.89351 0.637997i −0.307167 0.103497i
\(39\) −0.241101 4.44685i −0.0386071 0.712066i
\(40\) −4.80353 + 3.65155i −0.759506 + 0.577361i
\(41\) −0.0318184 0.0600158i −0.00496920 0.00937290i 0.881015 0.473088i \(-0.156861\pi\)
−0.885984 + 0.463715i \(0.846516\pi\)
\(42\) −0.161689 0.582351i −0.0249492 0.0898588i
\(43\) −5.79940 5.49349i −0.884401 0.837749i 0.103212 0.994659i \(-0.467088\pi\)
−0.987613 + 0.156910i \(0.949847\pi\)
\(44\) 2.40561 + 6.03762i 0.362659 + 0.910206i
\(45\) −2.41902 + 0.815061i −0.360605 + 0.121502i
\(46\) 4.64023 0.504655i 0.684165 0.0744074i
\(47\) 8.63465 + 3.99482i 1.25949 + 0.582704i 0.932106 0.362186i \(-0.117970\pi\)
0.327388 + 0.944890i \(0.393832\pi\)
\(48\) −1.12358 + 1.06431i −0.162175 + 0.153620i
\(49\) 5.28854 + 3.18201i 0.755505 + 0.454572i
\(50\) −1.00100 0.108865i −0.141563 0.0153959i
\(51\) −3.79076 + 0.834410i −0.530813 + 0.116841i
\(52\) 1.85721 6.68905i 0.257548 0.927605i
\(53\) −1.86531 + 1.12232i −0.256221 + 0.154163i −0.637869 0.770145i \(-0.720184\pi\)
0.381649 + 0.924307i \(0.375356\pi\)
\(54\) 0.602813 0.278891i 0.0820325 0.0379523i
\(55\) −3.93925 + 9.88678i −0.531169 + 1.33313i
\(56\) 0.116447 2.14774i 0.0155609 0.287004i
\(57\) −1.68820 2.48992i −0.223608 0.329797i
\(58\) −0.945590 −0.124162
\(59\) 7.19506 2.68907i 0.936717 0.350087i
\(60\) −3.97914 −0.513705
\(61\) −0.597789 0.881672i −0.0765390 0.112887i 0.787493 0.616324i \(-0.211379\pi\)
−0.864032 + 0.503437i \(0.832068\pi\)
\(62\) 0.384688 7.09516i 0.0488554 0.901086i
\(63\) 0.336802 0.845309i 0.0424331 0.106499i
\(64\) 0.660296 0.305486i 0.0825370 0.0381857i
\(65\) 9.74064 5.86075i 1.20818 0.726937i
\(66\) 0.740850 2.66830i 0.0911924 0.328445i
\(67\) 0.687250 0.151275i 0.0839609 0.0184812i −0.172791 0.984958i \(-0.555279\pi\)
0.256752 + 0.966477i \(0.417348\pi\)
\(68\) −6.01517 0.654189i −0.729447 0.0793321i
\(69\) 6.02145 + 3.62299i 0.724898 + 0.436156i
\(70\) 1.12004 1.06096i 0.133870 0.126809i
\(71\) −6.98592 3.23203i −0.829076 0.383571i −0.0410074 0.999159i \(-0.513057\pi\)
−0.788069 + 0.615587i \(0.788919\pi\)
\(72\) 2.34993 0.255570i 0.276942 0.0301192i
\(73\) −8.75277 + 2.94915i −1.02443 + 0.345172i −0.780857 0.624710i \(-0.785217\pi\)
−0.243577 + 0.969882i \(0.578321\pi\)
\(74\) 0.760440 + 1.90856i 0.0883994 + 0.221866i
\(75\) −1.10058 1.04252i −0.127084 0.120380i
\(76\) −1.25455 4.51848i −0.143907 0.518305i
\(77\) −1.77704 3.35185i −0.202512 0.381978i
\(78\) −2.35480 + 1.79007i −0.266628 + 0.202686i
\(79\) 0.812425 + 14.9843i 0.0914050 + 1.68587i 0.580991 + 0.813910i \(0.302665\pi\)
−0.489586 + 0.871955i \(0.662852\pi\)
\(80\) −3.74377 1.26142i −0.418566 0.141031i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) −0.0211338 + 0.0398626i −0.00233384 + 0.00440209i
\(83\) −0.914386 5.57751i −0.100367 0.612211i −0.988334 0.152303i \(-0.951331\pi\)
0.887967 0.459907i \(-0.152117\pi\)
\(84\) 0.918279 1.08108i 0.100192 0.117956i
\(85\) −6.41436 7.55157i −0.695735 0.819083i
\(86\) −0.858380 + 5.23589i −0.0925615 + 0.564600i
\(87\) −1.13336 0.861555i −0.121509 0.0923684i
\(88\) 5.53065 8.15710i 0.589570 0.869550i
\(89\) 1.96053 2.89157i 0.207816 0.306506i −0.709469 0.704736i \(-0.751065\pi\)
0.917285 + 0.398231i \(0.130376\pi\)
\(90\) 1.34975 + 1.02605i 0.142276 + 0.108155i
\(91\) −0.655588 + 3.99891i −0.0687243 + 0.419200i
\(92\) 7.09181 + 8.34912i 0.739372 + 0.870456i
\(93\) 6.92569 8.15355i 0.718160 0.845484i
\(94\) −1.02233 6.23595i −0.105446 0.643190i
\(95\) 3.59692 6.78452i 0.369037 0.696077i
\(96\) 5.62096 + 1.23727i 0.573686 + 0.126278i
\(97\) −16.3035 5.49329i −1.65537 0.557759i −0.672187 0.740381i \(-0.734645\pi\)
−0.983183 + 0.182622i \(0.941542\pi\)
\(98\) −0.221940 4.09345i −0.0224194 0.413501i
\(99\) 3.31913 2.52314i 0.333585 0.253585i
\(100\) −1.10691 2.08785i −0.110691 0.208785i
\(101\) −2.36559 8.52008i −0.235385 0.847780i −0.982993 0.183640i \(-0.941212\pi\)
0.747608 0.664140i \(-0.231202\pi\)
\(102\) 1.87169 + 1.77296i 0.185325 + 0.175549i
\(103\) −4.98336 12.5073i −0.491025 1.23238i −0.940716 0.339196i \(-0.889845\pi\)
0.449691 0.893184i \(-0.351534\pi\)
\(104\) −9.97579 + 3.36124i −0.978207 + 0.329596i
\(105\) 2.30912 0.251132i 0.225347 0.0245080i
\(106\) 1.31228 + 0.607125i 0.127460 + 0.0589692i
\(107\) −4.91399 + 4.65478i −0.475053 + 0.449995i −0.887378 0.461042i \(-0.847476\pi\)
0.412325 + 0.911037i \(0.364717\pi\)
\(108\) 1.33570 + 0.803664i 0.128528 + 0.0773326i
\(109\) 7.03889 + 0.765526i 0.674204 + 0.0733241i 0.438815 0.898577i \(-0.355398\pi\)
0.235388 + 0.971901i \(0.424364\pi\)
\(110\) 6.90360 1.51960i 0.658233 0.144888i
\(111\) −0.827506 + 2.98041i −0.0785434 + 0.282888i
\(112\) 1.20667 0.726032i 0.114020 0.0686035i
\(113\) 1.00476 0.464854i 0.0945203 0.0437298i −0.372059 0.928209i \(-0.621348\pi\)
0.466580 + 0.884479i \(0.345486\pi\)
\(114\) −0.739573 + 1.85619i −0.0692674 + 0.173848i
\(115\) −0.971162 + 17.9120i −0.0905613 + 1.67030i
\(116\) −1.24541 1.83684i −0.115633 0.170546i
\(117\) −4.45338 −0.411715
\(118\) −4.16022 2.95317i −0.382979 0.271862i
\(119\) 3.53193 0.323771
\(120\) 3.38614 + 4.99418i 0.309111 + 0.455904i
\(121\) 0.345562 6.37351i 0.0314147 0.579410i
\(122\) −0.261881 + 0.657271i −0.0237096 + 0.0595066i
\(123\) −0.0616504 + 0.0285225i −0.00555883 + 0.00257179i
\(124\) 14.2892 8.59753i 1.28321 0.772081i
\(125\) −2.37926 + 8.56933i −0.212808 + 0.766464i
\(126\) −0.590251 + 0.129924i −0.0525837 + 0.0115746i
\(127\) −12.3180 1.33967i −1.09305 0.118876i −0.456209 0.889873i \(-0.650793\pi\)
−0.636839 + 0.770997i \(0.719758\pi\)
\(128\) 9.44925 + 5.68543i 0.835204 + 0.502525i
\(129\) −5.79940 + 5.49349i −0.510609 + 0.483675i
\(130\) −6.85270 3.17040i −0.601022 0.278062i
\(131\) −0.919938 + 0.100049i −0.0803753 + 0.00874134i −0.148218 0.988955i \(-0.547354\pi\)
0.0678430 + 0.997696i \(0.478388\pi\)
\(132\) 6.15901 2.07521i 0.536073 0.180624i
\(133\) 1.01319 + 2.54292i 0.0878550 + 0.220499i
\(134\) −0.339330 0.321431i −0.0293137 0.0277674i
\(135\) 0.682903 + 2.45959i 0.0587749 + 0.211688i
\(136\) 4.29768 + 8.10628i 0.368523 + 0.695107i
\(137\) 0.702087 0.533713i 0.0599834 0.0455982i −0.574753 0.818327i \(-0.694902\pi\)
0.634736 + 0.772729i \(0.281109\pi\)
\(138\) −0.252698 4.66075i −0.0215111 0.396749i
\(139\) −6.37668 2.14855i −0.540863 0.182238i 0.0355928 0.999366i \(-0.488668\pi\)
−0.576456 + 0.817128i \(0.695565\pi\)
\(140\) 3.53611 + 0.778358i 0.298856 + 0.0657832i
\(141\) 4.45643 8.40571i 0.375299 0.707889i
\(142\) 0.827125 + 5.04524i 0.0694108 + 0.423387i
\(143\) −12.0203 + 14.1514i −1.00519 + 1.18340i
\(144\) 1.00192 + 1.17955i 0.0834935 + 0.0982962i
\(145\) 0.587925 3.58619i 0.0488245 0.297816i
\(146\) 4.88382 + 3.71258i 0.404188 + 0.307256i
\(147\) 3.46366 5.10851i 0.285678 0.421343i
\(148\) −2.70589 + 3.99088i −0.222422 + 0.328048i
\(149\) 12.0131 + 9.13212i 0.984151 + 0.748132i 0.967796 0.251734i \(-0.0810009\pi\)
0.0163545 + 0.999866i \(0.494794\pi\)
\(150\) −0.162899 + 0.993638i −0.0133006 + 0.0811302i
\(151\) −12.2160 14.3818i −0.994126 1.17038i −0.985373 0.170413i \(-0.945490\pi\)
−0.00875294 0.999962i \(-0.502786\pi\)
\(152\) −4.60351 + 5.41967i −0.373394 + 0.439593i
\(153\) 0.627959 + 3.83038i 0.0507675 + 0.309668i
\(154\) −1.18031 + 2.22630i −0.0951121 + 0.179401i
\(155\) 26.6695 + 5.87039i 2.14214 + 0.471521i
\(156\) −6.57870 2.21662i −0.526717 0.177472i
\(157\) 1.11469 + 20.5593i 0.0889622 + 1.64081i 0.613695 + 0.789544i \(0.289683\pi\)
−0.524732 + 0.851267i \(0.675835\pi\)
\(158\) 7.93483 6.03190i 0.631261 0.479872i
\(159\) 1.01969 + 1.92334i 0.0808667 + 0.152531i
\(160\) 3.93046 + 14.1562i 0.310730 + 1.11915i
\(161\) −4.64235 4.39746i −0.365868 0.346569i
\(162\) −0.245846 0.617028i −0.0193155 0.0484783i
\(163\) −10.8030 + 3.63995i −0.846155 + 0.285103i −0.708792 0.705418i \(-0.750759\pi\)
−0.137364 + 0.990521i \(0.543863\pi\)
\(164\) −0.105269 + 0.0114487i −0.00822013 + 0.000893993i
\(165\) 9.65901 + 4.46873i 0.751953 + 0.347890i
\(166\) −2.72542 + 2.58165i −0.211533 + 0.200375i
\(167\) −19.6209 11.8055i −1.51831 0.913539i −0.998233 0.0594211i \(-0.981075\pi\)
−0.520080 0.854118i \(-0.674098\pi\)
\(168\) −2.13828 0.232552i −0.164972 0.0179418i
\(169\) 6.67287 1.46881i 0.513298 0.112985i
\(170\) −1.76060 + 6.34110i −0.135032 + 0.486340i
\(171\) −2.57766 + 1.55093i −0.197119 + 0.118602i
\(172\) −11.3014 + 5.22859i −0.861724 + 0.398676i
\(173\) −2.03704 + 5.11258i −0.154873 + 0.388702i −0.985856 0.167596i \(-0.946399\pi\)
0.830983 + 0.556298i \(0.187779\pi\)
\(174\) −0.0511932 + 0.944203i −0.00388095 + 0.0715798i
\(175\) 0.774116 + 1.14173i 0.0585176 + 0.0863070i
\(176\) 6.45255 0.486379
\(177\) −2.29560 7.33009i −0.172548 0.550963i
\(178\) −2.32042 −0.173923
\(179\) 0.551635 + 0.813601i 0.0412311 + 0.0608114i 0.847746 0.530403i \(-0.177959\pi\)
−0.806515 + 0.591214i \(0.798649\pi\)
\(180\) −0.215426 + 3.97331i −0.0160569 + 0.296153i
\(181\) 5.77604 14.4968i 0.429330 1.07754i −0.542122 0.840300i \(-0.682379\pi\)
0.971452 0.237237i \(-0.0762418\pi\)
\(182\) 2.44278 1.13015i 0.181071 0.0837722i
\(183\) −0.912743 + 0.549179i −0.0674719 + 0.0405965i
\(184\) 4.44396 16.0057i 0.327613 1.17996i
\(185\) −7.71110 + 1.69734i −0.566931 + 0.124791i
\(186\) −7.06392 0.768248i −0.517952 0.0563307i
\(187\) 13.8666 + 8.34326i 1.01403 + 0.610120i
\(188\) 10.7670 10.1991i 0.785268 0.743845i
\(189\) −0.825836 0.382072i −0.0600707 0.0277917i
\(190\) −5.07053 + 0.551453i −0.367855 + 0.0400066i
\(191\) −10.4947 + 3.53608i −0.759371 + 0.255862i −0.672238 0.740335i \(-0.734667\pi\)
−0.0871326 + 0.996197i \(0.527770\pi\)
\(192\) −0.269290 0.675866i −0.0194343 0.0487765i
\(193\) 7.14502 + 6.76812i 0.514310 + 0.487180i 0.900268 0.435336i \(-0.143371\pi\)
−0.385958 + 0.922516i \(0.626129\pi\)
\(194\) 3.05704 + 11.0105i 0.219483 + 0.790506i
\(195\) −5.32481 10.0437i −0.381317 0.719241i
\(196\) 7.65934 5.82248i 0.547096 0.415891i
\(197\) −1.06776 19.6936i −0.0760746 1.40311i −0.748591 0.663032i \(-0.769269\pi\)
0.672517 0.740082i \(-0.265213\pi\)
\(198\) −2.62428 0.884223i −0.186499 0.0628390i
\(199\) 20.1837 + 4.44278i 1.43079 + 0.314940i 0.861734 0.507360i \(-0.169379\pi\)
0.569054 + 0.822300i \(0.307310\pi\)
\(200\) −1.67849 + 3.16598i −0.118687 + 0.223868i
\(201\) −0.113846 0.694432i −0.00803010 0.0489814i
\(202\) −3.80218 + 4.47628i −0.267521 + 0.314950i
\(203\) 0.838643 + 0.987327i 0.0588612 + 0.0692968i
\(204\) −0.978885 + 5.97093i −0.0685356 + 0.418049i
\(205\) −0.138040 0.104936i −0.00964117 0.00732902i
\(206\) −5.01841 + 7.40160i −0.349649 + 0.515694i
\(207\) 3.94367 5.81648i 0.274104 0.404273i
\(208\) −5.48687 4.17101i −0.380446 0.289207i
\(209\) −2.02912 + 12.3771i −0.140357 + 0.856142i
\(210\) −0.998765 1.17584i −0.0689214 0.0811405i
\(211\) −7.46021 + 8.78284i −0.513582 + 0.604635i −0.956430 0.291961i \(-0.905692\pi\)
0.442848 + 0.896597i \(0.353968\pi\)
\(212\) 0.549002 + 3.34877i 0.0377056 + 0.229994i
\(213\) −3.60550 + 6.80069i −0.247045 + 0.465976i
\(214\) 4.39062 + 0.966449i 0.300137 + 0.0660651i
\(215\) −19.3236 6.51088i −1.31786 0.444038i
\(216\) −0.127973 2.36032i −0.00870744 0.160599i
\(217\) −7.74951 + 5.89102i −0.526071 + 0.399909i
\(218\) −2.20284 4.15499i −0.149195 0.281412i
\(219\) 2.47096 + 8.89959i 0.166972 + 0.601379i
\(220\) 12.0444 + 11.4090i 0.812032 + 0.769197i
\(221\) −6.39816 16.0582i −0.430387 1.08019i
\(222\) 1.94693 0.655998i 0.130669 0.0440277i
\(223\) 7.83637 0.852256i 0.524762 0.0570713i 0.158096 0.987424i \(-0.449465\pi\)
0.366666 + 0.930352i \(0.380499\pi\)
\(224\) −4.75311 2.19902i −0.317581 0.146928i
\(225\) −1.10058 + 1.04252i −0.0733719 + 0.0695016i
\(226\) −0.630072 0.379102i −0.0419118 0.0252175i
\(227\) −16.0806 1.74887i −1.06731 0.116077i −0.442432 0.896802i \(-0.645884\pi\)
−0.624874 + 0.780725i \(0.714850\pi\)
\(228\) −4.57977 + 1.00808i −0.303303 + 0.0667620i
\(229\) 3.77999 13.6143i 0.249788 0.899657i −0.727211 0.686414i \(-0.759184\pi\)
0.976999 0.213243i \(-0.0684025\pi\)
\(230\) 10.2092 6.14265i 0.673173 0.405035i
\(231\) −3.44314 + 1.59296i −0.226542 + 0.104809i
\(232\) −1.24559 + 3.12619i −0.0817769 + 0.205245i
\(233\) −0.731192 + 13.4861i −0.0479020 + 0.883501i 0.871552 + 0.490303i \(0.163114\pi\)
−0.919454 + 0.393197i \(0.871369\pi\)
\(234\) 1.65996 + 2.44826i 0.108515 + 0.160048i
\(235\) 24.2857 1.58423
\(236\) 0.257333 11.9709i 0.0167509 0.779238i
\(237\) 15.0063 0.974764
\(238\) −1.31650 1.94169i −0.0853357 0.125861i
\(239\) 1.08677 20.0443i 0.0702974 1.29656i −0.724326 0.689457i \(-0.757849\pi\)
0.794624 0.607102i \(-0.207668\pi\)
\(240\) −1.46226 + 3.66999i −0.0943883 + 0.236897i
\(241\) −15.7474 + 7.28554i −1.01438 + 0.469303i −0.855394 0.517978i \(-0.826685\pi\)
−0.158987 + 0.987281i \(0.550823\pi\)
\(242\) −3.63266 + 2.18570i −0.233516 + 0.140502i
\(243\) 0.267528 0.963550i 0.0171620 0.0618118i
\(244\) −1.62168 + 0.356960i −0.103818 + 0.0228520i
\(245\) 15.6626 + 1.70341i 1.00064 + 0.108827i
\(246\) 0.0386600 + 0.0232610i 0.00246487 + 0.00148306i
\(247\) 9.72616 9.21311i 0.618861 0.586216i
\(248\) −22.9504 10.6180i −1.45735 0.674242i
\(249\) −5.61883 + 0.611085i −0.356079 + 0.0387259i
\(250\) 5.59786 1.88614i 0.354040 0.119290i
\(251\) −1.57821 3.96102i −0.0996159 0.250017i 0.870719 0.491780i \(-0.163654\pi\)
−0.970335 + 0.241763i \(0.922274\pi\)
\(252\) −1.02978 0.975461i −0.0648702 0.0614483i
\(253\) −7.83833 28.2311i −0.492791 1.77487i
\(254\) 3.85495 + 7.27121i 0.241881 + 0.456236i
\(255\) −7.88776 + 5.99612i −0.493951 + 0.375492i
\(256\) −0.475327 8.76688i −0.0297079 0.547930i
\(257\) 18.9217 + 6.37546i 1.18030 + 0.397690i 0.839980 0.542618i \(-0.182567\pi\)
0.340324 + 0.940308i \(0.389463\pi\)
\(258\) 5.18174 + 1.14059i 0.322601 + 0.0710098i
\(259\) 1.31837 2.48671i 0.0819194 0.154516i
\(260\) −2.86688 17.4872i −0.177796 1.08451i
\(261\) −0.921650 + 1.08505i −0.0570487 + 0.0671630i
\(262\) 0.397901 + 0.468445i 0.0245824 + 0.0289407i
\(263\) 3.68563 22.4814i 0.227266 1.38626i −0.588790 0.808286i \(-0.700395\pi\)
0.816056 0.577973i \(-0.196156\pi\)
\(264\) −7.84572 5.96416i −0.482870 0.367069i
\(265\) −3.11846 + 4.59939i −0.191566 + 0.282538i
\(266\) 1.02032 1.50486i 0.0625598 0.0922688i
\(267\) −2.78119 2.11420i −0.170206 0.129387i
\(268\) 0.177468 1.08251i 0.0108406 0.0661245i
\(269\) 10.9915 + 12.9402i 0.670164 + 0.788978i 0.987209 0.159433i \(-0.0509665\pi\)
−0.317045 + 0.948410i \(0.602691\pi\)
\(270\) 1.09762 1.29222i 0.0667991 0.0786420i
\(271\) 1.87945 + 11.4642i 0.114169 + 0.696398i 0.980439 + 0.196823i \(0.0630624\pi\)
−0.866270 + 0.499575i \(0.833489\pi\)
\(272\) −2.81382 + 5.30743i −0.170613 + 0.321810i
\(273\) 3.95755 + 0.871123i 0.239522 + 0.0527228i
\(274\) −0.555107 0.187037i −0.0335352 0.0112993i
\(275\) 0.342182 + 6.31118i 0.0206344 + 0.380579i
\(276\) 8.72082 6.62939i 0.524931 0.399043i
\(277\) −2.10315 3.96695i −0.126366 0.238351i 0.812255 0.583303i \(-0.198240\pi\)
−0.938620 + 0.344952i \(0.887895\pi\)
\(278\) 1.19568 + 4.30645i 0.0717121 + 0.258284i
\(279\) −7.76664 7.35695i −0.464977 0.440449i
\(280\) −2.03223 5.10050i −0.121449 0.304813i
\(281\) 22.5893 7.61121i 1.34756 0.454047i 0.449251 0.893406i \(-0.351691\pi\)
0.898312 + 0.439359i \(0.144794\pi\)
\(282\) −6.28216 + 0.683226i −0.374097 + 0.0406855i
\(283\) −8.65856 4.00588i −0.514698 0.238125i 0.145306 0.989387i \(-0.453583\pi\)
−0.660004 + 0.751262i \(0.729445\pi\)
\(284\) −8.71114 + 8.25163i −0.516911 + 0.489644i
\(285\) −6.57984 3.95896i −0.389756 0.234508i
\(286\) 12.2602 + 1.33338i 0.724960 + 0.0788442i
\(287\) 0.0603657 0.0132875i 0.00356327 0.000784336i
\(288\) 1.53976 5.54573i 0.0907314 0.326785i
\(289\) 1.65704 0.997011i 0.0974732 0.0586477i
\(290\) −2.19066 + 1.01351i −0.128640 + 0.0595151i
\(291\) −6.36789 + 15.9822i −0.373292 + 0.936893i
\(292\) −0.779482 + 14.3767i −0.0456157 + 0.841332i
\(293\) −11.6713 17.2138i −0.681842 1.00564i −0.998371 0.0570593i \(-0.981828\pi\)
0.316528 0.948583i \(-0.397483\pi\)
\(294\) −4.09946 −0.239086
\(295\) 13.7867 13.9416i 0.802690 0.811714i
\(296\) 7.31155 0.424975
\(297\) −2.33974 3.45086i −0.135766 0.200239i
\(298\) 0.542626 10.0081i 0.0314335 0.579756i
\(299\) −11.5837 + 29.0729i −0.669902 + 1.68133i
\(300\) −2.14472 + 0.992253i −0.123825 + 0.0572877i
\(301\) 6.22829 3.74744i 0.358993 0.215999i
\(302\) −3.35302 + 12.0765i −0.192945 + 0.694923i
\(303\) −8.63566 + 1.90085i −0.496106 + 0.109201i
\(304\) −4.62844 0.503373i −0.265459 0.0288704i
\(305\) −2.32990 1.40186i −0.133410 0.0802700i
\(306\) 1.87169 1.77296i 0.106998 0.101354i
\(307\) 28.5011 + 13.1860i 1.62664 + 0.752565i 0.999650 0.0264606i \(-0.00842365\pi\)
0.626992 + 0.779025i \(0.284286\pi\)
\(308\) −5.87921 + 0.639402i −0.334999 + 0.0364333i
\(309\) −12.7587 + 4.29892i −0.725819 + 0.244557i
\(310\) −6.71355 16.8497i −0.381304 0.957001i
\(311\) −6.31969 5.98633i −0.358357 0.339454i 0.487247 0.873264i \(-0.338001\pi\)
−0.845604 + 0.533810i \(0.820760\pi\)
\(312\) 2.81623 + 10.1431i 0.159437 + 0.574242i
\(313\) −7.02194 13.2448i −0.396903 0.748639i 0.601847 0.798611i \(-0.294432\pi\)
−0.998751 + 0.0499720i \(0.984087\pi\)
\(314\) 10.8870 8.27611i 0.614391 0.467048i
\(315\) −0.125750 2.31933i −0.00708523 0.130679i
\(316\) 22.1679 + 7.46922i 1.24704 + 0.420177i
\(317\) 28.4055 + 6.25253i 1.59541 + 0.351177i 0.921727 0.387839i \(-0.126778\pi\)
0.673687 + 0.739017i \(0.264710\pi\)
\(318\) 0.677280 1.27749i 0.0379800 0.0716378i
\(319\) 0.960271 + 5.85739i 0.0537648 + 0.327951i
\(320\) 1.20229 1.41544i 0.0672100 0.0791257i
\(321\) 4.38191 + 5.15879i 0.244575 + 0.287936i
\(322\) −0.687122 + 4.19126i −0.0382918 + 0.233570i
\(323\) −9.29570 7.06641i −0.517227 0.393186i
\(324\) 0.874799 1.29023i 0.0485999 0.0716795i
\(325\) 3.78865 5.58785i 0.210157 0.309958i
\(326\) 6.02779 + 4.58221i 0.333849 + 0.253785i
\(327\) 1.14548 6.98713i 0.0633453 0.386389i
\(328\) 0.103950 + 0.122380i 0.00573968 + 0.00675728i
\(329\) −5.60450 + 6.59812i −0.308986 + 0.363766i
\(330\) −1.14362 6.97575i −0.0629540 0.384002i
\(331\) −11.7667 + 22.1943i −0.646754 + 1.21991i 0.315802 + 0.948825i \(0.397727\pi\)
−0.962556 + 0.271083i \(0.912618\pi\)
\(332\) −8.60450 1.89399i −0.472233 0.103946i
\(333\) 2.93124 + 0.987648i 0.160631 + 0.0541228i
\(334\) 0.823418 + 15.1871i 0.0450555 + 0.830999i
\(335\) 1.43002 1.08707i 0.0781303 0.0593931i
\(336\) −0.659639 1.24421i −0.0359862 0.0678773i
\(337\) −2.47223 8.90415i −0.134671 0.485040i 0.865195 0.501436i \(-0.167195\pi\)
−0.999866 + 0.0163957i \(0.994781\pi\)
\(338\) −3.29474 3.12094i −0.179210 0.169757i
\(339\) −0.409775 1.02846i −0.0222559 0.0558582i
\(340\) −14.6366 + 4.93164i −0.793781 + 0.267456i
\(341\) −44.3411 + 4.82239i −2.40121 + 0.261147i
\(342\) 1.81343 + 0.838981i 0.0980589 + 0.0453669i
\(343\) −8.70156 + 8.24255i −0.469840 + 0.445056i
\(344\) 16.1795 + 9.73490i 0.872342 + 0.524871i
\(345\) 17.8332 + 1.93947i 0.960106 + 0.104418i
\(346\) 3.56994 0.785803i 0.191921 0.0422450i
\(347\) −0.159628 + 0.574928i −0.00856927 + 0.0308637i −0.967711 0.252062i \(-0.918891\pi\)
0.959142 + 0.282926i \(0.0913051\pi\)
\(348\) −1.90157 + 1.14413i −0.101935 + 0.0613321i
\(349\) 32.6847 15.1216i 1.74957 0.809439i 0.762944 0.646465i \(-0.223753\pi\)
0.986630 0.162975i \(-0.0521088\pi\)
\(350\) 0.339127 0.851144i 0.0181271 0.0454955i
\(351\) −0.241101 + 4.44685i −0.0128690 + 0.237355i
\(352\) −13.4664 19.8615i −0.717764 1.05862i
\(353\) 25.2212 1.34239 0.671194 0.741282i \(-0.265782\pi\)
0.671194 + 0.741282i \(0.265782\pi\)
\(354\) −3.17407 + 3.99424i −0.168700 + 0.212291i
\(355\) −19.6485 −1.04284
\(356\) −3.05615 4.50748i −0.161976 0.238896i
\(357\) 0.191215 3.52675i 0.0101202 0.186655i
\(358\) 0.241662 0.606525i 0.0127722 0.0320559i
\(359\) −7.78263 + 3.60063i −0.410751 + 0.190034i −0.614373 0.789016i \(-0.710591\pi\)
0.203621 + 0.979050i \(0.434729\pi\)
\(360\) 5.17018 3.11079i 0.272492 0.163953i
\(361\) −2.66198 + 9.58760i −0.140104 + 0.504610i
\(362\) −10.1226 + 2.22815i −0.532032 + 0.117109i
\(363\) −6.34545 0.690110i −0.333050 0.0362214i
\(364\) 5.41265 + 3.25668i 0.283700 + 0.170697i
\(365\) −17.1167 + 16.2138i −0.895927 + 0.848667i
\(366\) 0.642130 + 0.297081i 0.0335646 + 0.0155287i
\(367\) −7.75104 + 0.842977i −0.404601 + 0.0440030i −0.308157 0.951335i \(-0.599712\pi\)
−0.0964438 + 0.995338i \(0.530747\pi\)
\(368\) 10.3065 3.47268i 0.537266 0.181026i
\(369\) 0.0251430 + 0.0631042i 0.00130889 + 0.00328507i
\(370\) 3.80736 + 3.60653i 0.197935 + 0.187494i
\(371\) −0.529937 1.90866i −0.0275130 0.0990927i
\(372\) −7.81132 14.7337i −0.404998 0.763908i
\(373\) −3.68182 + 2.79885i −0.190638 + 0.144919i −0.696139 0.717907i \(-0.745100\pi\)
0.505502 + 0.862825i \(0.331307\pi\)
\(374\) −0.581931 10.7331i −0.0300909 0.554994i
\(375\) 8.42795 + 2.83971i 0.435217 + 0.146642i
\(376\) −21.9632 4.83447i −1.13267 0.249319i
\(377\) 2.96973 5.60151i 0.152949 0.288493i
\(378\) 0.0977780 + 0.596419i 0.00502916 + 0.0306765i
\(379\) 6.26306 7.37345i 0.321712 0.378749i −0.577404 0.816458i \(-0.695934\pi\)
0.899116 + 0.437710i \(0.144210\pi\)
\(380\) −7.74945 9.12335i −0.397538 0.468018i
\(381\) −2.00459 + 12.2274i −0.102698 + 0.626430i
\(382\) 5.85578 + 4.45145i 0.299608 + 0.227756i
\(383\) −6.72903 + 9.92458i −0.343837 + 0.507122i −0.959812 0.280644i \(-0.909452\pi\)
0.615975 + 0.787766i \(0.288762\pi\)
\(384\) 6.18866 9.12759i 0.315814 0.465790i
\(385\) −7.70947 5.86059i −0.392911 0.298683i
\(386\) 1.05755 6.45075i 0.0538277 0.328335i
\(387\) 5.17146 + 6.08831i 0.262880 + 0.309486i
\(388\) −17.3618 + 20.4399i −0.881414 + 1.03768i
\(389\) 2.88604 + 17.6041i 0.146328 + 0.892562i 0.953312 + 0.301988i \(0.0976503\pi\)
−0.806983 + 0.590574i \(0.798901\pi\)
\(390\) −3.53675 + 6.67101i −0.179090 + 0.337800i
\(391\) 26.6391 + 5.86371i 1.34720 + 0.296541i
\(392\) −13.8256 4.65839i −0.698299 0.235284i
\(393\) 0.0500981 + 0.924005i 0.00252712 + 0.0466099i
\(394\) −10.4286 + 7.92764i −0.525387 + 0.399389i
\(395\) 17.9427 + 33.8435i 0.902795 + 1.70285i
\(396\) −1.73873 6.26232i −0.0873742 0.314694i
\(397\) 22.4742 + 21.2887i 1.12795 + 1.06845i 0.997027 + 0.0770550i \(0.0245517\pi\)
0.130920 + 0.991393i \(0.458207\pi\)
\(398\) −5.08089 12.7521i −0.254682 0.639204i
\(399\) 2.59405 0.874036i 0.129865 0.0437565i
\(400\) −2.33241 + 0.253665i −0.116620 + 0.0126832i
\(401\) 10.5903 + 4.89959i 0.528854 + 0.244674i 0.666099 0.745863i \(-0.267963\pi\)
−0.137245 + 0.990537i \(0.543825\pi\)
\(402\) −0.339330 + 0.321431i −0.0169243 + 0.0160315i
\(403\) 40.8223 + 24.5620i 2.03351 + 1.22352i
\(404\) −13.7030 1.49029i −0.681752 0.0741449i
\(405\) 2.49296 0.548742i 0.123876 0.0272672i
\(406\) 0.230188 0.829064i 0.0114241 0.0411457i
\(407\) 11.0502 6.64869i 0.547738 0.329563i
\(408\) 8.32706 3.85251i 0.412251 0.190728i
\(409\) −11.3434 + 28.4697i −0.560893 + 1.40774i 0.325827 + 0.945430i \(0.394357\pi\)
−0.886720 + 0.462307i \(0.847022\pi\)
\(410\) −0.00623522 + 0.115002i −0.000307936 + 0.00567954i
\(411\) −0.494920 0.729952i −0.0244126 0.0360059i
\(412\) −20.9874 −1.03398
\(413\) 0.606175 + 6.96302i 0.0298279 + 0.342628i
\(414\) −4.66759 −0.229400
\(415\) −8.09648 11.9414i −0.397440 0.586181i
\(416\) −1.38766 + 25.5939i −0.0680357 + 1.25485i
\(417\) −2.49063 + 6.25101i −0.121967 + 0.306113i
\(418\) 7.56068 3.49794i 0.369805 0.171090i
\(419\) 14.3270 8.62029i 0.699921 0.421129i −0.120633 0.992697i \(-0.538492\pi\)
0.820554 + 0.571568i \(0.193665\pi\)
\(420\) 0.968658 3.48879i 0.0472656 0.170235i
\(421\) −22.9317 + 5.04764i −1.11762 + 0.246007i −0.735113 0.677945i \(-0.762871\pi\)
−0.382509 + 0.923952i \(0.624940\pi\)
\(422\) 7.60911 + 0.827541i 0.370406 + 0.0402841i
\(423\) −8.15212 4.90497i −0.396370 0.238488i
\(424\) 3.73582 3.53875i 0.181427 0.171857i
\(425\) −5.34037 2.47072i −0.259046 0.119847i
\(426\) 5.08262 0.552768i 0.246254 0.0267817i
\(427\) 0.918545 0.309494i 0.0444515 0.0149774i
\(428\) 3.90539 + 9.80180i 0.188774 + 0.473788i
\(429\) 13.4798 + 12.7688i 0.650813 + 0.616483i
\(430\) 3.62333 + 13.0501i 0.174733 + 0.629330i
\(431\) −6.97561 13.1574i −0.336003 0.633770i 0.656727 0.754128i \(-0.271940\pi\)
−0.992730 + 0.120359i \(0.961596\pi\)
\(432\) 1.23207 0.936593i 0.0592779 0.0450619i
\(433\) −1.44606 26.6711i −0.0694934 1.28173i −0.800489 0.599348i \(-0.795427\pi\)
0.730995 0.682382i \(-0.239056\pi\)
\(434\) 6.12717 + 2.06448i 0.294113 + 0.0990983i
\(435\) −3.54910 0.781215i −0.170166 0.0374564i
\(436\) 5.16991 9.75148i 0.247594 0.467011i
\(437\) 3.42011 + 20.8618i 0.163606 + 0.997954i
\(438\) 3.97154 4.67566i 0.189768 0.223412i
\(439\) −13.9874 16.4672i −0.667581 0.785937i 0.319254 0.947669i \(-0.396568\pi\)
−0.986835 + 0.161732i \(0.948292\pi\)
\(440\) 4.06994 24.8255i 0.194027 1.18351i
\(441\) −4.91350 3.73515i −0.233976 0.177864i
\(442\) −6.44315 + 9.50294i −0.306470 + 0.452009i
\(443\) −1.79547 + 2.64812i −0.0853053 + 0.125816i −0.867948 0.496656i \(-0.834561\pi\)
0.782642 + 0.622472i \(0.213871\pi\)
\(444\) 3.83854 + 2.91798i 0.182169 + 0.138481i
\(445\) 1.44273 8.80028i 0.0683921 0.417173i
\(446\) −3.38947 3.99039i −0.160496 0.188950i
\(447\) 9.76910 11.5011i 0.462063 0.543982i
\(448\) 0.107102 + 0.653293i 0.00506009 + 0.0308652i
\(449\) −12.4073 + 23.4026i −0.585535 + 1.10444i 0.396905 + 0.917860i \(0.370084\pi\)
−0.982440 + 0.186577i \(0.940261\pi\)
\(450\) 0.983361 + 0.216454i 0.0463561 + 0.0102037i
\(451\) 0.268388 + 0.0904306i 0.0126379 + 0.00425821i
\(452\) −0.0934311 1.72324i −0.00439463 0.0810542i
\(453\) −15.0221 + 11.4195i −0.705799 + 0.536534i
\(454\) 5.03246 + 9.49222i 0.236185 + 0.445492i
\(455\) 2.76732 + 9.96699i 0.129734 + 0.467260i
\(456\) 5.16249 + 4.89017i 0.241756 + 0.229003i
\(457\) −8.96639 22.5039i −0.419430 1.05269i −0.975194 0.221350i \(-0.928954\pi\)
0.555764 0.831340i \(-0.312426\pi\)
\(458\) −8.89344 + 2.99655i −0.415563 + 0.140020i
\(459\) 3.85876 0.419665i 0.180111 0.0195883i
\(460\) 25.3785 + 11.7413i 1.18328 + 0.547442i
\(461\) 0.139296 0.131949i 0.00648768 0.00614546i −0.684449 0.729061i \(-0.739957\pi\)
0.690936 + 0.722916i \(0.257198\pi\)
\(462\) 2.15914 + 1.29911i 0.100452 + 0.0604400i
\(463\) 19.9813 + 2.17309i 0.928608 + 0.100992i 0.559907 0.828556i \(-0.310837\pi\)
0.368701 + 0.929548i \(0.379802\pi\)
\(464\) −2.15179 + 0.473644i −0.0998942 + 0.0219884i
\(465\) 7.30564 26.3125i 0.338791 1.22021i
\(466\) 7.68653 4.62483i 0.356072 0.214241i
\(467\) 35.7688 16.5484i 1.65518 0.765770i 0.655238 0.755422i \(-0.272568\pi\)
0.999946 0.0103480i \(-0.00329393\pi\)
\(468\) −2.56953 + 6.44904i −0.118777 + 0.298107i
\(469\) −0.0346664 + 0.639385i −0.00160075 + 0.0295240i
\(470\) −9.05230 13.3511i −0.417551 0.615842i
\(471\) 20.5895 0.948714
\(472\) −15.2435 + 9.86391i −0.701639 + 0.454023i
\(473\) 33.3051 1.53137
\(474\) −5.59347 8.24975i −0.256917 0.378924i
\(475\) 0.246896 4.55373i 0.0113284 0.208940i
\(476\) 2.03787 5.11466i 0.0934055 0.234430i
\(477\) 1.97572 0.914067i 0.0904622 0.0418523i
\(478\) −11.4245 + 6.87389i −0.522545 + 0.314405i
\(479\) 10.3136 37.1463i 0.471242 1.69726i −0.220731 0.975335i \(-0.570844\pi\)
0.691972 0.721924i \(-0.256742\pi\)
\(480\) 14.3483 3.15829i 0.654906 0.144156i
\(481\) −13.6942 1.48934i −0.624404 0.0679080i
\(482\) 9.87496 + 5.94157i 0.449792 + 0.270631i
\(483\) −4.64235 + 4.39746i −0.211234 + 0.200092i
\(484\) −9.03024 4.17783i −0.410465 0.189902i
\(485\) −43.6584 + 4.74813i −1.98242 + 0.215602i
\(486\) −0.629433 + 0.212081i −0.0285517 + 0.00962017i
\(487\) −10.9696 27.5317i −0.497081 1.24758i −0.936933 0.349509i \(-0.886348\pi\)
0.439852 0.898070i \(-0.355031\pi\)
\(488\) 1.82802 + 1.73160i 0.0827507 + 0.0783857i
\(489\) 3.04975 + 10.9842i 0.137914 + 0.496723i
\(490\) −4.90163 9.24546i −0.221433 0.417667i
\(491\) 28.2061 21.4417i 1.27292 0.967652i 0.272940 0.962031i \(-0.412004\pi\)
0.999984 0.00562111i \(-0.00178926\pi\)
\(492\) 0.00573276 + 0.105734i 0.000258453 + 0.00476688i
\(493\) −5.23664 1.76443i −0.235847 0.0794660i
\(494\) −8.69027 1.91287i −0.390994 0.0860642i
\(495\) 4.98511 9.40291i 0.224064 0.422629i
\(496\) −2.67855 16.3384i −0.120271 0.733618i
\(497\) 4.53435 5.33825i 0.203393 0.239453i
\(498\) 2.43032 + 2.86119i 0.108905 + 0.128213i
\(499\) 0.456124 2.78224i 0.0204189 0.124550i −0.974650 0.223735i \(-0.928175\pi\)
0.995069 + 0.0991846i \(0.0316234\pi\)
\(500\) 11.0366 + 8.38983i 0.493573 + 0.375205i
\(501\) −12.8505 + 18.9530i −0.574116 + 0.846758i
\(502\) −1.58931 + 2.34406i −0.0709345 + 0.104621i
\(503\) 18.6148 + 14.1506i 0.829993 + 0.630944i 0.931439 0.363897i \(-0.118554\pi\)
−0.101446 + 0.994841i \(0.532347\pi\)
\(504\) −0.347976 + 2.12256i −0.0155001 + 0.0945463i
\(505\) −14.6124 17.2031i −0.650244 0.765527i
\(506\) −12.5984 + 14.8320i −0.560069 + 0.659365i
\(507\) −1.10539 6.74260i −0.0490923 0.299450i
\(508\) −9.04731 + 17.0650i −0.401410 + 0.757139i
\(509\) −37.9492 8.35326i −1.68207 0.370252i −0.731761 0.681561i \(-0.761301\pi\)
−0.950309 + 0.311309i \(0.899232\pi\)
\(510\) 6.23648 + 2.10131i 0.276156 + 0.0930478i
\(511\) −0.455005 8.39207i −0.0201282 0.371244i
\(512\) 12.9159 9.81839i 0.570806 0.433916i
\(513\) 1.40910 + 2.65785i 0.0622133 + 0.117347i
\(514\) −3.54797 12.7786i −0.156494 0.563642i
\(515\) −24.9506 23.6345i −1.09946 1.04146i
\(516\) 4.60908 + 11.5679i 0.202903 + 0.509249i
\(517\) −37.5900 + 12.6655i −1.65321 + 0.557030i
\(518\) −1.85848 + 0.202122i −0.0816571 + 0.00888074i
\(519\) 4.99479 + 2.31084i 0.219247 + 0.101435i
\(520\) −19.5084 + 18.4793i −0.855499 + 0.810371i
\(521\) 11.0378 + 6.64124i 0.483576 + 0.290958i 0.736390 0.676557i \(-0.236529\pi\)
−0.252815 + 0.967515i \(0.581356\pi\)
\(522\) 0.940047 + 0.102236i 0.0411447 + 0.00447476i
\(523\) 20.4904 4.51028i 0.895984 0.197221i 0.256973 0.966419i \(-0.417275\pi\)
0.639011 + 0.769198i \(0.279344\pi\)
\(524\) −0.385906 + 1.38991i −0.0168584 + 0.0607185i
\(525\) 1.18197 0.711168i 0.0515854 0.0310379i
\(526\) −13.7330 + 6.35355i −0.598786 + 0.277028i
\(527\) 15.3697 38.5749i 0.669513 1.68035i
\(528\) 0.349334 6.44309i 0.0152028 0.280399i
\(529\) −14.8063 21.8377i −0.643753 0.949465i
\(530\) 3.69090 0.160323
\(531\) −7.44362 + 1.89539i −0.323026 + 0.0822528i
\(532\) 4.26706 0.185001
\(533\) −0.169766 0.250386i −0.00735339 0.0108454i
\(534\) −0.125625 + 2.31702i −0.00543632 + 0.100267i
\(535\) −6.39519 + 16.0507i −0.276488 + 0.693933i
\(536\) −1.50966 + 0.698443i −0.0652074 + 0.0301682i
\(537\) 0.842272 0.506778i 0.0363467 0.0218691i
\(538\) 3.01692 10.8660i 0.130069 0.468464i
\(539\) −25.1312 + 5.53180i −1.08248 + 0.238272i
\(540\) 3.95582 + 0.430221i 0.170231 + 0.0185138i
\(541\) −23.2499 13.9890i −0.999592 0.601435i −0.0810301 0.996712i \(-0.525821\pi\)
−0.918562 + 0.395277i \(0.870649\pi\)
\(542\) 5.60190 5.30640i 0.240622 0.227930i
\(543\) −14.1628 6.55241i −0.607784 0.281191i
\(544\) 22.2091 2.41539i 0.952209 0.103559i
\(545\) 17.1276 5.77096i 0.733665 0.247201i
\(546\) −0.996242 2.50038i −0.0426352 0.107006i
\(547\) 6.44234 + 6.10251i 0.275455 + 0.260925i 0.812939 0.582349i \(-0.197866\pi\)
−0.537484 + 0.843274i \(0.680625\pi\)
\(548\) −0.367788 1.32465i −0.0157111 0.0565864i
\(549\) 0.498959 + 0.941136i 0.0212950 + 0.0401667i
\(550\) 3.34204 2.54055i 0.142505 0.108330i
\(551\) −0.231862 4.27644i −0.00987766 0.182183i
\(552\) −15.7416 5.30398i −0.670009 0.225752i
\(553\) −13.3355 2.93537i −0.567085 0.124825i
\(554\) −1.39691 + 2.63486i −0.0593491 + 0.111944i
\(555\) 1.27738 + 7.79168i 0.0542218 + 0.330738i
\(556\) −6.79061 + 7.99453i −0.287986 + 0.339044i
\(557\) 9.14507 + 10.7664i 0.387489 + 0.456187i 0.920975 0.389622i \(-0.127394\pi\)
−0.533486 + 0.845809i \(0.679118\pi\)
\(558\) −1.14955 + 7.01197i −0.0486645 + 0.296840i
\(559\) −28.3207 21.5288i −1.19784 0.910571i
\(560\) 2.01734 2.97535i 0.0852480 0.125731i
\(561\) 9.08175 13.3946i 0.383432 0.565519i
\(562\) −12.6042 9.58149i −0.531677 0.404171i
\(563\) −5.34733 + 32.6173i −0.225363 + 1.37465i 0.595421 + 0.803414i \(0.296985\pi\)
−0.820784 + 0.571239i \(0.806463\pi\)
\(564\) −9.60121 11.3034i −0.404284 0.475960i
\(565\) 1.82951 2.15386i 0.0769680 0.0906137i
\(566\) 1.02516 + 6.25322i 0.0430908 + 0.262842i
\(567\) −0.426222 + 0.803939i −0.0178996 + 0.0337623i
\(568\) 17.7695 + 3.91136i 0.745591 + 0.164117i
\(569\) 7.70938 + 2.59759i 0.323194 + 0.108897i 0.476222 0.879325i \(-0.342006\pi\)
−0.153028 + 0.988222i \(0.548902\pi\)
\(570\) 0.276132 + 5.09295i 0.0115659 + 0.213320i
\(571\) 15.8361 12.0383i 0.662719 0.503786i −0.218901 0.975747i \(-0.570247\pi\)
0.881619 + 0.471962i \(0.156454\pi\)
\(572\) 13.5574 + 25.5719i 0.566863 + 1.06922i
\(573\) 2.96272 + 10.6708i 0.123770 + 0.445777i
\(574\) −0.0298056 0.0282334i −0.00124406 0.00117844i
\(575\) 3.94316 + 9.89658i 0.164441 + 0.412716i
\(576\) −0.689454 + 0.232304i −0.0287273 + 0.00967934i
\(577\) −31.1675 + 3.38967i −1.29752 + 0.141114i −0.730684 0.682716i \(-0.760799\pi\)
−0.566837 + 0.823830i \(0.691833\pi\)
\(578\) −1.16576 0.539337i −0.0484891 0.0224335i
\(579\) 7.14502 6.76812i 0.296937 0.281274i
\(580\) −4.85401 2.92056i −0.201552 0.121270i
\(581\) 5.11278 + 0.556048i 0.212114 + 0.0230688i
\(582\) 11.1598 2.45646i 0.462590 0.101824i
\(583\) 2.42814 8.74538i 0.100563 0.362197i
\(584\) 18.7074 11.2558i 0.774116 0.465770i
\(585\) −10.3172 + 4.77325i −0.426564 + 0.197349i
\(586\) −5.11298 + 12.8326i −0.211215 + 0.530110i
\(587\) −1.13870 + 21.0020i −0.0469990 + 0.866845i 0.876064 + 0.482196i \(0.160161\pi\)
−0.923063 + 0.384650i \(0.874322\pi\)
\(588\) −5.39927 7.96333i −0.222662 0.328402i
\(589\) 32.1823 1.32605
\(590\) −12.8033 2.38262i −0.527104 0.0980909i
\(591\) −19.7226 −0.811278
\(592\) 2.68645 + 3.96222i 0.110413 + 0.162846i
\(593\) 1.27137 23.4491i 0.0522091 0.962940i −0.848684 0.528900i \(-0.822605\pi\)
0.900894 0.434040i \(-0.142912\pi\)
\(594\) −1.02500 + 2.57256i −0.0420563 + 0.105553i
\(595\) 8.18246 3.78561i 0.335448 0.155195i
\(596\) 20.1558 12.1273i 0.825613 0.496755i
\(597\) 5.52899 19.9136i 0.226286 0.815010i
\(598\) 20.3006 4.46850i 0.830153 0.182730i
\(599\) −1.64018 0.178380i −0.0670158 0.00728841i 0.0745497 0.997217i \(-0.476248\pi\)
−0.141565 + 0.989929i \(0.545214\pi\)
\(600\) 3.07046 + 1.84744i 0.125351 + 0.0754212i
\(601\) −21.0302 + 19.9209i −0.857840 + 0.812589i −0.983767 0.179451i \(-0.942568\pi\)
0.125927 + 0.992039i \(0.459809\pi\)
\(602\) −4.38170 2.02719i −0.178585 0.0826222i
\(603\) −0.699577 + 0.0760836i −0.0284890 + 0.00309836i
\(604\) −27.8751 + 9.39221i −1.13422 + 0.382164i
\(605\) −6.03072 15.1360i −0.245184 0.615364i
\(606\) 4.26387 + 4.03895i 0.173208 + 0.164071i
\(607\) 3.92088 + 14.1217i 0.159144 + 0.573183i 0.999514 + 0.0311710i \(0.00992363\pi\)
−0.840370 + 0.542012i \(0.817663\pi\)
\(608\) 8.11011 + 15.2973i 0.328908 + 0.620387i
\(609\) 1.03128 0.783960i 0.0417897 0.0317677i
\(610\) 0.0977774 + 1.80340i 0.00395889 + 0.0730175i
\(611\) 40.1515 + 13.5286i 1.62436 + 0.547309i
\(612\) 5.90918 + 1.30071i 0.238864 + 0.0525780i
\(613\) 0.913668 1.72336i 0.0369027 0.0696059i −0.864375 0.502848i \(-0.832286\pi\)
0.901278 + 0.433242i \(0.142630\pi\)
\(614\) −3.37449 20.5835i −0.136183 0.830683i
\(615\) −0.112255 + 0.132157i −0.00452656 + 0.00532908i
\(616\) 5.80555 + 6.83482i 0.233912 + 0.275383i
\(617\) 3.90699 23.8316i 0.157290 0.959424i −0.783738 0.621092i \(-0.786689\pi\)
0.941027 0.338331i \(-0.109862\pi\)
\(618\) 7.11905 + 5.41176i 0.286370 + 0.217693i
\(619\) 20.5427 30.2983i 0.825682 1.21779i −0.147798 0.989018i \(-0.547219\pi\)
0.973480 0.228772i \(-0.0734712\pi\)
\(620\) 23.8889 35.2335i 0.959402 1.41501i
\(621\) −5.59444 4.25278i −0.224497 0.170658i
\(622\) −0.935389 + 5.70562i −0.0375057 + 0.228775i
\(623\) 2.05798 + 2.42284i 0.0824511 + 0.0970690i
\(624\) −4.46194 + 5.25301i −0.178621 + 0.210289i
\(625\) 4.89903 + 29.8827i 0.195961 + 1.19531i
\(626\) −4.66398 + 8.79721i −0.186410 + 0.351607i
\(627\) 12.2491 + 2.69623i 0.489182 + 0.107677i
\(628\) 30.4155 + 10.2482i 1.21371 + 0.408947i
\(629\) 0.649998 + 11.9885i 0.0259171 + 0.478013i
\(630\) −1.22819 + 0.933642i −0.0489321 + 0.0371972i
\(631\) −4.48170 8.45339i −0.178414 0.336524i 0.778135 0.628097i \(-0.216166\pi\)
−0.956548 + 0.291573i \(0.905821\pi\)
\(632\) −9.48968 34.1787i −0.377479 1.35956i
\(633\) 8.36607 + 7.92476i 0.332521 + 0.314981i
\(634\) −7.15058 17.9466i −0.283986 0.712750i
\(635\) −29.9732 + 10.0991i −1.18945 + 0.400772i
\(636\) 3.37358 0.366899i 0.133771 0.0145485i
\(637\) 24.9459 + 11.5412i 0.988394 + 0.457280i
\(638\) 2.86218 2.71120i 0.113315 0.107338i
\(639\) 6.59552 + 3.96839i 0.260915 + 0.156987i
\(640\) 27.9850 + 3.04355i 1.10620 + 0.120307i
\(641\) −35.7057 + 7.85941i −1.41029 + 0.310428i −0.853876 0.520477i \(-0.825754\pi\)
−0.556414 + 0.830905i \(0.687823\pi\)
\(642\) 1.20274 4.33186i 0.0474682 0.170965i
\(643\) 3.00599 1.80864i 0.118545 0.0713259i −0.455047 0.890468i \(-0.650377\pi\)
0.573591 + 0.819142i \(0.305550\pi\)
\(644\) −9.04663 + 4.18542i −0.356487 + 0.164929i
\(645\) −7.54749 + 18.9428i −0.297182 + 0.745871i
\(646\) −0.419883 + 7.74428i −0.0165201 + 0.304695i
\(647\) −9.88999 14.5866i −0.388816 0.573460i 0.582029 0.813168i \(-0.302259\pi\)
−0.970845 + 0.239707i \(0.922948\pi\)
\(648\) −2.36378 −0.0928582
\(649\) −14.0684 + 28.7692i −0.552234 + 1.12929i
\(650\) −4.48412 −0.175882
\(651\) 5.46283 + 8.05708i 0.214105 + 0.315782i
\(652\) −0.962065 + 17.7442i −0.0376774 + 0.694918i
\(653\) −2.97481 + 7.46620i −0.116413 + 0.292175i −0.975625 0.219445i \(-0.929575\pi\)
0.859212 + 0.511620i \(0.170955\pi\)
\(654\) −4.26816 + 1.97466i −0.166898 + 0.0772153i
\(655\) −2.02399 + 1.21780i −0.0790840 + 0.0475833i
\(656\) −0.0281251 + 0.101297i −0.00109810 + 0.00395500i
\(657\) 9.02032 1.98552i 0.351916 0.0774626i
\(658\) 5.71636 + 0.621692i 0.222847 + 0.0242361i
\(659\) −26.5966 16.0026i −1.03605 0.623373i −0.107361 0.994220i \(-0.534240\pi\)
−0.928694 + 0.370847i \(0.879068\pi\)
\(660\) 12.0444 11.4090i 0.468827 0.444096i
\(661\) 24.6014 + 11.3818i 0.956883 + 0.442701i 0.835248 0.549874i \(-0.185324\pi\)
0.121635 + 0.992575i \(0.461186\pi\)
\(662\) 16.5873 1.80398i 0.644683 0.0701135i
\(663\) −16.3810 + 5.51940i −0.636185 + 0.214356i
\(664\) 4.94505 + 12.4111i 0.191905 + 0.481646i
\(665\) 5.07284 + 4.80525i 0.196716 + 0.186340i
\(666\) −0.549631 1.97959i −0.0212978 0.0767076i
\(667\) 4.68619 + 8.83910i 0.181450 + 0.342251i
\(668\) −28.4168 + 21.6019i −1.09948 + 0.835803i
\(669\) −0.426754 7.87102i −0.0164993 0.304311i
\(670\) −1.13065 0.380960i −0.0436807 0.0147177i
\(671\) 4.33737 + 0.954728i 0.167442 + 0.0368568i
\(672\) −2.45313 + 4.62709i −0.0946314 + 0.178494i
\(673\) −2.51804 15.3593i −0.0970631 0.592059i −0.989910 0.141698i \(-0.954744\pi\)
0.892847 0.450361i \(-0.148705\pi\)
\(674\) −3.97358 + 4.67806i −0.153057 + 0.180192i
\(675\) 0.981411 + 1.15541i 0.0377745 + 0.0444716i
\(676\) 1.72313 10.5106i 0.0662742 0.404254i
\(677\) 1.60938 + 1.22342i 0.0618536 + 0.0470199i 0.635644 0.771982i \(-0.280735\pi\)
−0.573791 + 0.819002i \(0.694528\pi\)
\(678\) −0.412657 + 0.608624i −0.0158480 + 0.0233740i
\(679\) 8.78517 12.9572i 0.337144 0.497250i
\(680\) 18.6450 + 14.1735i 0.715002 + 0.543531i
\(681\) −2.61689 + 15.9623i −0.100279 + 0.611678i
\(682\) 19.1789 + 22.5791i 0.734398 + 0.864600i
\(683\) −10.8860 + 12.8160i −0.416541 + 0.490390i −0.929915 0.367775i \(-0.880120\pi\)
0.513374 + 0.858165i \(0.328395\pi\)
\(684\) 0.758662 + 4.62763i 0.0290082 + 0.176942i
\(685\) 1.05449 1.98897i 0.0402899 0.0759948i
\(686\) 7.77479 + 1.71136i 0.296843 + 0.0653401i
\(687\) −13.3897 4.51150i −0.510848 0.172125i
\(688\) 0.669314 + 12.3448i 0.0255173 + 0.470640i
\(689\) −7.71787 + 5.86697i −0.294027 + 0.223514i
\(690\) −5.58093 10.5268i −0.212462 0.400747i
\(691\) 4.33358 + 15.6081i 0.164857 + 0.593761i 0.999102 + 0.0423674i \(0.0134900\pi\)
−0.834245 + 0.551394i \(0.814096\pi\)
\(692\) 6.22830 + 5.89976i 0.236764 + 0.224275i
\(693\) 1.40422 + 3.52433i 0.0533419 + 0.133878i
\(694\) 0.375568 0.126544i 0.0142564 0.00480353i
\(695\) −17.0758 + 1.85710i −0.647722 + 0.0704440i
\(696\) 3.05417 + 1.41301i 0.115768 + 0.0535600i
\(697\) −0.191420 + 0.181323i −0.00725057 + 0.00686810i
\(698\) −20.4961 12.3321i −0.775788 0.466776i
\(699\) 13.4267 + 1.46024i 0.507844 + 0.0552314i
\(700\) 2.10002 0.462250i 0.0793735 0.0174714i
\(701\) −12.0596 + 43.4349i −0.455486 + 1.64051i 0.277834 + 0.960629i \(0.410384\pi\)
−0.733320 + 0.679884i \(0.762030\pi\)
\(702\) 2.53454 1.52498i 0.0956599 0.0575566i
\(703\) −8.44504 + 3.90709i −0.318511 + 0.147359i
\(704\) −1.12274 + 2.81787i −0.0423150 + 0.106203i
\(705\) 1.31480 24.2501i 0.0495184 0.913312i
\(706\) −9.40097 13.8654i −0.353810 0.521831i
\(707\) 8.04601 0.302601
\(708\) −11.9394 0.905046i −0.448710 0.0340137i
\(709\) 10.0950 0.379125 0.189563 0.981869i \(-0.439293\pi\)
0.189563 + 0.981869i \(0.439293\pi\)
\(710\) 7.32382 + 10.8018i 0.274858 + 0.405385i
\(711\) 0.812425 14.9843i 0.0304683 0.561955i
\(712\) −3.05660 + 7.67148i −0.114551 + 0.287501i
\(713\) −68.2299 + 31.5665i −2.55523 + 1.18218i
\(714\) −2.01011 + 1.20944i −0.0752265 + 0.0452623i
\(715\) −12.6797 + 45.6682i −0.474195 + 1.70789i
\(716\) 1.49648 0.329400i 0.0559260 0.0123102i
\(717\) −19.9561 2.17036i −0.745274 0.0810534i
\(718\) 4.88036 + 2.93641i 0.182133 + 0.109586i
\(719\) 24.4079 23.1204i 0.910260 0.862244i −0.0806538 0.996742i \(-0.525701\pi\)
0.990914 + 0.134498i \(0.0429422\pi\)
\(720\) 3.58544 + 1.65880i 0.133621 + 0.0618199i
\(721\) 12.1791 1.32456i 0.453574 0.0493292i
\(722\) 6.26303 2.11026i 0.233086 0.0785358i
\(723\) 6.42230 + 16.1188i 0.238848 + 0.599463i
\(724\) −17.6604 16.7288i −0.656344 0.621722i
\(725\) −0.577377 2.07953i −0.0214433 0.0772316i
\(726\) 1.98582 + 3.74566i 0.0737008 + 0.139015i
\(727\) −31.7013 + 24.0987i −1.17573 + 0.893770i −0.995948 0.0899354i \(-0.971334\pi\)
−0.179787 + 0.983706i \(0.557541\pi\)
\(728\) −0.518583 9.56470i −0.0192200 0.354491i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) 15.2936 + 3.36638i 0.566043 + 0.124595i
\(731\) −14.5236 + 27.3945i −0.537176 + 1.01322i
\(732\) 0.268640 + 1.63863i 0.00992922 + 0.0605656i
\(733\) 7.89063 9.28956i 0.291447 0.343118i −0.596879 0.802331i \(-0.703593\pi\)
0.888326 + 0.459213i \(0.151869\pi\)
\(734\) 3.35256 + 3.94694i 0.123745 + 0.145684i
\(735\) 2.54886 15.5474i 0.0940162 0.573474i
\(736\) −32.1989 24.4770i −1.18687 0.902233i
\(737\) −1.64648 + 2.42838i −0.0606490 + 0.0894505i
\(738\) 0.0253198 0.0373440i 0.000932036 0.00137465i
\(739\) 17.3319 + 13.1754i 0.637563 + 0.484663i 0.873319 0.487149i \(-0.161963\pi\)
−0.235755 + 0.971812i \(0.575756\pi\)
\(740\) −1.99123 + 12.1460i −0.0731990 + 0.446494i
\(741\) −8.67303 10.2107i −0.318612 0.375099i
\(742\) −0.851761 + 1.00277i −0.0312691 + 0.0368129i
\(743\) 4.40240 + 26.8534i 0.161508 + 0.985157i 0.935852 + 0.352392i \(0.114632\pi\)
−0.774344 + 0.632765i \(0.781920\pi\)
\(744\) −11.8449 + 22.3419i −0.434256 + 0.819093i
\(745\) 37.6189 + 8.28054i 1.37825 + 0.303376i
\(746\) 2.91104 + 0.980844i 0.106581 + 0.0359112i
\(747\) 0.305991 + 5.64367i 0.0111956 + 0.206491i
\(748\) 20.0829 15.2666i 0.734303 0.558203i
\(749\) −2.88493 5.44156i −0.105413 0.198830i
\(750\) −1.58031 5.69176i −0.0577048 0.207834i
\(751\) −17.4622 16.5411i −0.637204 0.603592i 0.299338 0.954147i \(-0.403234\pi\)
−0.936542 + 0.350555i \(0.885993\pi\)
\(752\) −5.45000 13.6785i −0.198741 0.498803i
\(753\) −4.04065 + 1.36145i −0.147249 + 0.0496141i
\(754\) −4.18639 + 0.455297i −0.152459 + 0.0165809i
\(755\) −43.7158 20.2251i −1.59098 0.736066i
\(756\) −1.02978 + 0.975461i −0.0374528 + 0.0354772i
\(757\) −1.11782 0.672572i −0.0406280 0.0244450i 0.495095 0.868839i \(-0.335133\pi\)
−0.535723 + 0.844394i \(0.679961\pi\)
\(758\) −6.38808 0.694745i −0.232025 0.0252343i
\(759\) −28.6141 + 6.29843i −1.03862 + 0.228619i
\(760\) −4.85606 + 17.4900i −0.176148 + 0.634428i
\(761\) 39.1147 23.5345i 1.41791 0.853126i 0.419402 0.907800i \(-0.362240\pi\)
0.998504 + 0.0546744i \(0.0174121\pi\)
\(762\) 7.46925 3.45564i 0.270582 0.125185i
\(763\) −2.38469 + 5.98513i −0.0863317 + 0.216676i
\(764\) −0.934612 + 17.2379i −0.0338131 + 0.623645i
\(765\) 5.56029 + 8.20082i 0.201033 + 0.296501i
\(766\) 7.96425 0.287760
\(767\) 30.5597 15.3697i 1.10345 0.554966i
\(768\) −8.77976 −0.316812
\(769\) −6.52270 9.62027i −0.235215 0.346916i 0.691702 0.722183i \(-0.256861\pi\)
−0.926917 + 0.375267i \(0.877551\pi\)
\(770\) −0.348233 + 6.42278i −0.0125495 + 0.231461i
\(771\) 7.39051 18.5488i 0.266163 0.668018i
\(772\) 13.9236 6.44176i 0.501123 0.231844i