Properties

Label 483.2.y.b.4.2
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37000 + 1.92390i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.17034 - 3.38148i) q^{4} +(0.00886507 - 0.186101i) q^{5} +(1.54668 + 1.78496i) q^{6} +(0.229059 + 2.63582i) q^{7} +(3.57665 + 1.05020i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.37000 + 1.92390i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.17034 - 3.38148i) q^{4} +(0.00886507 - 0.186101i) q^{5} +(1.54668 + 1.78496i) q^{6} +(0.229059 + 2.63582i) q^{7} +(3.57665 + 1.05020i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(0.345893 + 0.272014i) q^{10} +(1.99704 + 2.80445i) q^{11} +(-3.56208 + 0.340137i) q^{12} +(1.00107 - 6.96260i) q^{13} +(-5.38485 - 3.17038i) q^{14} +(-0.178765 - 0.0524901i) q^{15} +(-1.29505 + 1.01844i) q^{16} +(0.821886 - 0.158406i) q^{17} +(2.09929 - 1.08226i) q^{18} +(1.86797 + 0.360021i) q^{19} +(-0.639671 + 0.187824i) q^{20} +(2.61552 + 0.398815i) q^{21} -8.13143 q^{22} +(-0.101065 + 4.79477i) q^{23} +(1.86382 - 3.22824i) q^{24} +(4.94280 + 0.471981i) q^{25} +(12.0239 + 11.4647i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(8.64488 - 3.85936i) q^{28} +(4.93730 + 5.69795i) q^{29} +(0.345893 - 0.272014i) q^{30} +(-7.25015 + 6.91300i) q^{31} +(0.169586 + 3.56004i) q^{32} +(3.19622 - 1.27957i) q^{33} +(-0.821229 + 1.79824i) q^{34} +(0.492558 - 0.0192614i) q^{35} +(-0.509243 + 3.54186i) q^{36} +(1.27855 + 0.659140i) q^{37} +(-3.25176 + 3.10055i) q^{38} +(-6.53032 - 2.61435i) q^{39} +(0.227150 - 0.656307i) q^{40} +(1.71177 + 1.10009i) q^{41} +(-4.35054 + 4.48561i) q^{42} +(10.1515 - 2.98076i) q^{43} +(7.14598 - 10.0351i) q^{44} +(-0.0931559 + 0.161351i) q^{45} +(-9.08618 - 6.76327i) q^{46} +(0.421245 + 0.729618i) q^{47} +(0.684410 + 1.49865i) q^{48} +(-6.89506 + 1.20752i) q^{49} +(-7.67969 + 8.86283i) q^{50} +(0.0398266 - 0.836064i) q^{51} +(-24.7155 + 4.76352i) q^{52} +(11.5508 + 4.62424i) q^{53} +(-0.556825 - 2.29526i) q^{54} +(0.539615 - 0.346789i) q^{55} +(-1.94887 + 9.66795i) q^{56} +(0.790263 - 1.73043i) q^{57} +(-17.7264 + 1.69266i) q^{58} +(-4.03353 - 3.17201i) q^{59} +(0.0317217 + 0.665921i) q^{60} +(-1.98647 - 8.18834i) q^{61} +(-3.36720 - 23.4194i) q^{62} +(1.00421 - 2.44777i) q^{63} +(-9.85348 - 6.33245i) q^{64} +(-1.28687 - 0.248024i) q^{65} +(-1.91706 + 7.90222i) q^{66} +(10.0116 + 0.955989i) q^{67} +(-1.49753 - 2.59380i) q^{68} +(4.63578 + 1.22862i) q^{69} +(-0.637748 + 0.974019i) q^{70} +(-1.02983 - 2.25502i) q^{71} +(-2.69782 - 2.57237i) q^{72} +(2.49609 + 7.21198i) q^{73} +(-3.01974 + 1.55678i) q^{74} +(1.62399 - 4.69220i) q^{75} +(-0.968755 - 6.73784i) q^{76} +(-6.93459 + 5.90623i) q^{77} +(13.9763 - 8.98201i) q^{78} +(-6.19175 + 2.47880i) q^{79} +(0.178051 + 0.250038i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-4.46158 + 1.78615i) q^{82} +(-8.77676 + 5.64048i) q^{83} +(-1.71247 - 9.31108i) q^{84} +(-0.0221933 - 0.154358i) q^{85} +(-8.17293 + 23.6141i) q^{86} +(6.70135 - 3.45478i) q^{87} +(4.19749 + 12.1278i) q^{88} +(-7.80637 - 7.44336i) q^{89} +(-0.182799 - 0.400273i) q^{90} +(18.5814 + 1.04379i) q^{91} +(16.3317 - 5.26977i) q^{92} +(5.00885 + 8.67558i) q^{93} +(-1.98082 - 0.189145i) q^{94} +(0.0835599 - 0.344439i) q^{95} +(3.49967 + 0.674507i) q^{96} +(4.61424 + 2.96539i) q^{97} +(7.12310 - 14.9197i) q^{98} +(-0.489967 - 3.40780i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37000 + 1.92390i −0.968737 + 1.36040i −0.0361926 + 0.999345i \(0.511523\pi\)
−0.932544 + 0.361056i \(0.882416\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −1.17034 3.38148i −0.585171 1.69074i
\(5\) 0.00886507 0.186101i 0.00396458 0.0832268i −0.996018 0.0891540i \(-0.971584\pi\)
0.999982 + 0.00592722i \(0.00188670\pi\)
\(6\) 1.54668 + 1.78496i 0.631428 + 0.728706i
\(7\) 0.229059 + 2.63582i 0.0865763 + 0.996245i
\(8\) 3.57665 + 1.05020i 1.26454 + 0.371301i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 0.345893 + 0.272014i 0.109381 + 0.0860183i
\(11\) 1.99704 + 2.80445i 0.602131 + 0.845575i 0.997330 0.0730206i \(-0.0232639\pi\)
−0.395199 + 0.918595i \(0.629324\pi\)
\(12\) −3.56208 + 0.340137i −1.02828 + 0.0981892i
\(13\) 1.00107 6.96260i 0.277647 1.93108i −0.0790776 0.996868i \(-0.525197\pi\)
0.356725 0.934210i \(-0.383893\pi\)
\(14\) −5.38485 3.17038i −1.43916 0.847321i
\(15\) −0.178765 0.0524901i −0.0461569 0.0135529i
\(16\) −1.29505 + 1.01844i −0.323762 + 0.254610i
\(17\) 0.821886 0.158406i 0.199337 0.0384190i −0.0886055 0.996067i \(-0.528241\pi\)
0.287942 + 0.957648i \(0.407029\pi\)
\(18\) 2.09929 1.08226i 0.494806 0.255090i
\(19\) 1.86797 + 0.360021i 0.428541 + 0.0825945i 0.398961 0.916968i \(-0.369371\pi\)
0.0295801 + 0.999562i \(0.490583\pi\)
\(20\) −0.639671 + 0.187824i −0.143035 + 0.0419988i
\(21\) 2.61552 + 0.398815i 0.570753 + 0.0870285i
\(22\) −8.13143 −1.73363
\(23\) −0.101065 + 4.79477i −0.0210734 + 0.999778i
\(24\) 1.86382 3.22824i 0.380451 0.658961i
\(25\) 4.94280 + 0.471981i 0.988561 + 0.0943961i
\(26\) 12.0239 + 11.4647i 2.35807 + 2.24842i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 8.64488 3.85936i 1.63373 0.729351i
\(29\) 4.93730 + 5.69795i 0.916834 + 1.05808i 0.998114 + 0.0613915i \(0.0195538\pi\)
−0.0812797 + 0.996691i \(0.525901\pi\)
\(30\) 0.345893 0.272014i 0.0631512 0.0496627i
\(31\) −7.25015 + 6.91300i −1.30217 + 1.24161i −0.349738 + 0.936848i \(0.613729\pi\)
−0.952428 + 0.304765i \(0.901422\pi\)
\(32\) 0.169586 + 3.56004i 0.0299788 + 0.629333i
\(33\) 3.19622 1.27957i 0.556391 0.222745i
\(34\) −0.821229 + 1.79824i −0.140840 + 0.308396i
\(35\) 0.492558 0.0192614i 0.0832575 0.00325578i
\(36\) −0.509243 + 3.54186i −0.0848738 + 0.590310i
\(37\) 1.27855 + 0.659140i 0.210193 + 0.108362i 0.560108 0.828419i \(-0.310759\pi\)
−0.349916 + 0.936781i \(0.613790\pi\)
\(38\) −3.25176 + 3.10055i −0.527505 + 0.502975i
\(39\) −6.53032 2.61435i −1.04569 0.418631i
\(40\) 0.227150 0.656307i 0.0359156 0.103771i
\(41\) 1.71177 + 1.10009i 0.267333 + 0.171805i 0.667439 0.744664i \(-0.267390\pi\)
−0.400106 + 0.916469i \(0.631027\pi\)
\(42\) −4.35054 + 4.48561i −0.671303 + 0.692145i
\(43\) 10.1515 2.98076i 1.54809 0.454561i 0.607563 0.794271i \(-0.292147\pi\)
0.940530 + 0.339710i \(0.110329\pi\)
\(44\) 7.14598 10.0351i 1.07730 1.51285i
\(45\) −0.0931559 + 0.161351i −0.0138869 + 0.0240527i
\(46\) −9.08618 6.76327i −1.33968 0.997190i
\(47\) 0.421245 + 0.729618i 0.0614449 + 0.106426i 0.895111 0.445842i \(-0.147096\pi\)
−0.833667 + 0.552268i \(0.813762\pi\)
\(48\) 0.684410 + 1.49865i 0.0987861 + 0.216311i
\(49\) −6.89506 + 1.20752i −0.985009 + 0.172503i
\(50\) −7.67969 + 8.86283i −1.08607 + 1.25339i
\(51\) 0.0398266 0.836064i 0.00557684 0.117072i
\(52\) −24.7155 + 4.76352i −3.42742 + 0.660581i
\(53\) 11.5508 + 4.62424i 1.58662 + 0.635188i 0.986358 0.164612i \(-0.0526373\pi\)
0.600266 + 0.799801i \(0.295062\pi\)
\(54\) −0.556825 2.29526i −0.0757742 0.312346i
\(55\) 0.539615 0.346789i 0.0727617 0.0467611i
\(56\) −1.94887 + 9.66795i −0.260428 + 1.29193i
\(57\) 0.790263 1.73043i 0.104673 0.229202i
\(58\) −17.7264 + 1.69266i −2.32759 + 0.222258i
\(59\) −4.03353 3.17201i −0.525121 0.412960i 0.320094 0.947386i \(-0.396285\pi\)
−0.845215 + 0.534426i \(0.820528\pi\)
\(60\) 0.0317217 + 0.665921i 0.00409526 + 0.0859700i
\(61\) −1.98647 8.18834i −0.254341 1.04841i −0.945478 0.325686i \(-0.894405\pi\)
0.691137 0.722724i \(-0.257110\pi\)
\(62\) −3.36720 23.4194i −0.427634 2.97426i
\(63\) 1.00421 2.44777i 0.126518 0.308390i
\(64\) −9.85348 6.33245i −1.23168 0.791556i
\(65\) −1.28687 0.248024i −0.159617 0.0307636i
\(66\) −1.91706 + 7.90222i −0.235973 + 0.972696i
\(67\) 10.0116 + 0.955989i 1.22311 + 0.116793i 0.686558 0.727075i \(-0.259121\pi\)
0.536551 + 0.843868i \(0.319727\pi\)
\(68\) −1.49753 2.59380i −0.181602 0.314545i
\(69\) 4.63578 + 1.22862i 0.558083 + 0.147909i
\(70\) −0.637748 + 0.974019i −0.0762255 + 0.116418i
\(71\) −1.02983 2.25502i −0.122219 0.267622i 0.838627 0.544707i \(-0.183359\pi\)
−0.960846 + 0.277085i \(0.910632\pi\)
\(72\) −2.69782 2.57237i −0.317942 0.303157i
\(73\) 2.49609 + 7.21198i 0.292145 + 0.844098i 0.991591 + 0.129412i \(0.0413091\pi\)
−0.699446 + 0.714686i \(0.746570\pi\)
\(74\) −3.01974 + 1.55678i −0.351037 + 0.180972i
\(75\) 1.62399 4.69220i 0.187522 0.541809i
\(76\) −0.968755 6.73784i −0.111124 0.772883i
\(77\) −6.93459 + 5.90623i −0.790270 + 0.673077i
\(78\) 13.9763 8.98201i 1.58250 1.01701i
\(79\) −6.19175 + 2.47880i −0.696626 + 0.278887i −0.692825 0.721106i \(-0.743634\pi\)
−0.00380099 + 0.999993i \(0.501210\pi\)
\(80\) 0.178051 + 0.250038i 0.0199067 + 0.0279551i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −4.46158 + 1.78615i −0.492699 + 0.197247i
\(83\) −8.77676 + 5.64048i −0.963375 + 0.619123i −0.924930 0.380137i \(-0.875877\pi\)
−0.0384448 + 0.999261i \(0.512240\pi\)
\(84\) −1.71247 9.31108i −0.186846 1.01592i
\(85\) −0.0221933 0.154358i −0.00240720 0.0167425i
\(86\) −8.17293 + 23.6141i −0.881310 + 2.54638i
\(87\) 6.70135 3.45478i 0.718460 0.370392i
\(88\) 4.19749 + 12.1278i 0.447454 + 1.29283i
\(89\) −7.80637 7.44336i −0.827474 0.788995i 0.152462 0.988309i \(-0.451280\pi\)
−0.979936 + 0.199315i \(0.936128\pi\)
\(90\) −0.182799 0.400273i −0.0192687 0.0421925i
\(91\) 18.5814 + 1.04379i 1.94786 + 0.109419i
\(92\) 16.3317 5.26977i 1.70270 0.549411i
\(93\) 5.00885 + 8.67558i 0.519394 + 0.899616i
\(94\) −1.98082 0.189145i −0.204305 0.0195088i
\(95\) 0.0835599 0.344439i 0.00857306 0.0353387i
\(96\) 3.49967 + 0.674507i 0.357184 + 0.0688416i
\(97\) 4.61424 + 2.96539i 0.468505 + 0.301090i 0.753510 0.657436i \(-0.228359\pi\)
−0.285005 + 0.958526i \(0.591995\pi\)
\(98\) 7.12310 14.9197i 0.719542 1.50712i
\(99\) −0.489967 3.40780i −0.0492436 0.342496i
\(100\) −4.18878 17.2664i −0.418878 1.72664i
\(101\) −0.686509 14.4116i −0.0683102 1.43401i −0.729598 0.683876i \(-0.760293\pi\)
0.661288 0.750132i \(-0.270010\pi\)
\(102\) 1.55394 + 1.22203i 0.153863 + 0.120999i
\(103\) 16.2332 1.55008i 1.59950 0.152734i 0.743150 0.669125i \(-0.233331\pi\)
0.856353 + 0.516391i \(0.172725\pi\)
\(104\) 10.8926 23.8515i 1.06811 2.33883i
\(105\) 0.0974065 0.483215i 0.00950590 0.0471569i
\(106\) −24.7212 + 15.8873i −2.40113 + 1.54311i
\(107\) −0.325665 1.34241i −0.0314833 0.129776i 0.953901 0.300121i \(-0.0970270\pi\)
−0.985384 + 0.170345i \(0.945512\pi\)
\(108\) 3.32196 + 1.32991i 0.319656 + 0.127971i
\(109\) −9.44352 + 1.82009i −0.904525 + 0.174333i −0.620245 0.784408i \(-0.712967\pi\)
−0.284280 + 0.958741i \(0.591755\pi\)
\(110\) −0.0720857 + 1.51327i −0.00687310 + 0.144284i
\(111\) 0.941990 1.08711i 0.0894098 0.103184i
\(112\) −2.98106 3.18023i −0.281684 0.300504i
\(113\) −5.65962 12.3928i −0.532412 1.16582i −0.964523 0.263999i \(-0.914958\pi\)
0.432111 0.901821i \(-0.357769\pi\)
\(114\) 2.24652 + 3.89108i 0.210406 + 0.364433i
\(115\) 0.891414 + 0.0613141i 0.0831247 + 0.00571757i
\(116\) 13.4892 23.3639i 1.25244 2.16929i
\(117\) −4.08024 + 5.72989i −0.377218 + 0.529728i
\(118\) 11.6286 3.41445i 1.07050 0.314326i
\(119\) 0.605789 + 2.13006i 0.0555326 + 0.195262i
\(120\) −0.584254 0.375477i −0.0533349 0.0342762i
\(121\) −0.279036 + 0.806222i −0.0253669 + 0.0732929i
\(122\) 18.4750 + 7.39627i 1.67265 + 0.669627i
\(123\) 1.47264 1.40416i 0.132784 0.126609i
\(124\) 31.8613 + 16.4257i 2.86123 + 1.47507i
\(125\) 0.264229 1.83775i 0.0236334 0.164374i
\(126\) 3.33349 + 5.28543i 0.296971 + 0.470864i
\(127\) 0.00174739 0.00382625i 0.000155056 0.000339524i −0.909554 0.415585i \(-0.863577\pi\)
0.909710 + 0.415245i \(0.136304\pi\)
\(128\) 19.0647 7.63235i 1.68510 0.674611i
\(129\) −0.503421 10.5681i −0.0443238 0.930470i
\(130\) 2.24019 2.13601i 0.196477 0.187341i
\(131\) −1.24275 + 0.977309i −0.108579 + 0.0853878i −0.670973 0.741482i \(-0.734123\pi\)
0.562393 + 0.826870i \(0.309881\pi\)
\(132\) −8.06752 9.31042i −0.702188 0.810368i
\(133\) −0.521075 + 5.00609i −0.0451829 + 0.434083i
\(134\) −15.5551 + 17.9515i −1.34375 + 1.55078i
\(135\) 0.134840 + 0.128570i 0.0116052 + 0.0110655i
\(136\) 3.10596 + 0.296583i 0.266334 + 0.0254318i
\(137\) 4.47727 7.75486i 0.382519 0.662542i −0.608903 0.793245i \(-0.708390\pi\)
0.991422 + 0.130703i \(0.0417233\pi\)
\(138\) −8.71477 + 7.23555i −0.741851 + 0.615931i
\(139\) 8.80158 0.746541 0.373270 0.927723i \(-0.378236\pi\)
0.373270 + 0.927723i \(0.378236\pi\)
\(140\) −0.641593 1.64303i −0.0542245 0.138862i
\(141\) 0.808363 0.237357i 0.0680765 0.0199891i
\(142\) 5.74931 + 1.10809i 0.482471 + 0.0929887i
\(143\) 21.5255 11.0972i 1.80005 0.927991i
\(144\) 1.61776 0.311798i 0.134813 0.0259832i
\(145\) 1.10416 0.868323i 0.0916957 0.0721103i
\(146\) −17.2947 5.07820i −1.43132 0.420274i
\(147\) −0.452093 + 6.98539i −0.0372880 + 0.576145i
\(148\) 0.732524 5.09482i 0.0602131 0.418792i
\(149\) −16.6812 + 1.59286i −1.36658 + 0.130492i −0.752415 0.658689i \(-0.771111\pi\)
−0.614160 + 0.789181i \(0.710505\pi\)
\(150\) 6.80245 + 9.55270i 0.555418 + 0.779975i
\(151\) −3.88214 3.05295i −0.315924 0.248445i 0.447587 0.894240i \(-0.352284\pi\)
−0.763511 + 0.645795i \(0.776526\pi\)
\(152\) 6.30297 + 3.24941i 0.511239 + 0.263562i
\(153\) −0.803107 0.235814i −0.0649274 0.0190644i
\(154\) −1.86258 21.4330i −0.150091 1.72712i
\(155\) 1.22224 + 1.41054i 0.0981729 + 0.113298i
\(156\) −1.19765 + 25.1418i −0.0958890 + 2.01296i
\(157\) −3.29071 9.50788i −0.262627 0.758811i −0.996806 0.0798556i \(-0.974554\pi\)
0.734179 0.678956i \(-0.237567\pi\)
\(158\) 3.71374 15.3082i 0.295449 1.21786i
\(159\) 7.21710 10.1350i 0.572353 0.803757i
\(160\) 0.664030 0.0524962
\(161\) −12.6613 + 0.831899i −0.997848 + 0.0655628i
\(162\) −2.36184 −0.185564
\(163\) −6.05815 + 8.50747i −0.474511 + 0.666357i −0.980576 0.196138i \(-0.937160\pi\)
0.506066 + 0.862495i \(0.331099\pi\)
\(164\) 1.71657 7.07578i 0.134041 0.552526i
\(165\) −0.209795 0.606163i −0.0163325 0.0471897i
\(166\) 1.17246 24.6131i 0.0910009 1.91034i
\(167\) −3.83708 4.42823i −0.296922 0.342666i 0.587611 0.809143i \(-0.300068\pi\)
−0.884533 + 0.466477i \(0.845523\pi\)
\(168\) 8.93596 + 4.17324i 0.689425 + 0.321972i
\(169\) −35.0023 10.2776i −2.69248 0.790584i
\(170\) 0.327374 + 0.168773i 0.0251084 + 0.0129443i
\(171\) −1.49534 1.17595i −0.114352 0.0899273i
\(172\) −21.9601 30.8387i −1.67444 2.35143i
\(173\) −9.97988 + 0.952963i −0.758756 + 0.0724524i −0.467261 0.884120i \(-0.654759\pi\)
−0.291496 + 0.956572i \(0.594153\pi\)
\(174\) −2.53420 + 17.6258i −0.192117 + 1.33621i
\(175\) −0.111858 + 13.1364i −0.00845570 + 0.993022i
\(176\) −5.44243 1.59804i −0.410239 0.120457i
\(177\) −4.03353 + 3.17201i −0.303179 + 0.238423i
\(178\) 25.0150 4.82125i 1.87495 0.361368i
\(179\) 7.49825 3.86562i 0.560446 0.288930i −0.154635 0.987972i \(-0.549420\pi\)
0.715081 + 0.699042i \(0.246390\pi\)
\(180\) 0.654628 + 0.126169i 0.0487931 + 0.00940410i
\(181\) 10.2331 3.00472i 0.760624 0.223339i 0.121655 0.992572i \(-0.461180\pi\)
0.638968 + 0.769233i \(0.279362\pi\)
\(182\) −27.4647 + 34.3188i −2.03582 + 2.54388i
\(183\) −8.42585 −0.622857
\(184\) −5.39693 + 17.0431i −0.397867 + 1.25643i
\(185\) 0.134001 0.232096i 0.00985194 0.0170641i
\(186\) −23.5531 2.24904i −1.72699 0.164908i
\(187\) 2.08558 + 1.98860i 0.152513 + 0.145421i
\(188\) 1.97419 2.27833i 0.143982 0.166164i
\(189\) −2.14202 1.55298i −0.155809 0.112963i
\(190\) 0.548187 + 0.632642i 0.0397697 + 0.0458967i
\(191\) −7.63894 + 6.00733i −0.552734 + 0.434675i −0.855060 0.518530i \(-0.826480\pi\)
0.302325 + 0.953205i \(0.402237\pi\)
\(192\) −8.47699 + 8.08279i −0.611774 + 0.583325i
\(193\) −0.0649798 1.36409i −0.00467735 0.0981896i −0.999999 0.00157040i \(-0.999500\pi\)
0.995321 0.0966192i \(-0.0308029\pi\)
\(194\) −12.0266 + 4.81473i −0.863461 + 0.345678i
\(195\) −0.544424 + 1.19212i −0.0389870 + 0.0853696i
\(196\) 12.1528 + 21.9023i 0.868055 + 1.56445i
\(197\) −2.00380 + 13.9367i −0.142765 + 0.992949i 0.784923 + 0.619593i \(0.212702\pi\)
−0.927688 + 0.373357i \(0.878207\pi\)
\(198\) 7.22750 + 3.72604i 0.513636 + 0.264798i
\(199\) −2.29230 + 2.18571i −0.162497 + 0.154941i −0.766965 0.641689i \(-0.778234\pi\)
0.604468 + 0.796629i \(0.293386\pi\)
\(200\) 17.1830 + 6.87904i 1.21502 + 0.486421i
\(201\) 3.28936 9.50398i 0.232014 0.670359i
\(202\) 28.6670 + 18.4231i 2.01700 + 1.29625i
\(203\) −13.8878 + 14.3190i −0.974734 + 1.00500i
\(204\) −2.87374 + 0.843807i −0.201202 + 0.0590783i
\(205\) 0.219902 0.308809i 0.0153586 0.0215682i
\(206\) −19.2573 + 33.3546i −1.34172 + 2.32392i
\(207\) 2.28692 4.21545i 0.158952 0.292994i
\(208\) 5.79454 + 10.0364i 0.401779 + 0.695902i
\(209\) 2.72075 + 5.95761i 0.188198 + 0.412096i
\(210\) 0.796208 + 0.849405i 0.0549436 + 0.0586145i
\(211\) 3.42287 3.95020i 0.235640 0.271943i −0.625597 0.780146i \(-0.715145\pi\)
0.861237 + 0.508203i \(0.169690\pi\)
\(212\) 2.11840 44.4707i 0.145492 3.05426i
\(213\) −2.43425 + 0.469163i −0.166792 + 0.0321465i
\(214\) 3.02882 + 1.21256i 0.207046 + 0.0828887i
\(215\) −0.464727 1.91563i −0.0316941 0.130645i
\(216\) −3.13589 + 2.01532i −0.213371 + 0.137125i
\(217\) −19.8821 17.5266i −1.34969 1.18978i
\(218\) 9.43596 20.6619i 0.639084 1.39940i
\(219\) 7.59716 0.725441i 0.513368 0.0490207i
\(220\) −1.80419 1.41883i −0.121639 0.0956578i
\(221\) −0.280148 5.88104i −0.0188448 0.395602i
\(222\) 0.800969 + 3.30164i 0.0537575 + 0.221592i
\(223\) −0.514012 3.57503i −0.0344208 0.239402i 0.965347 0.260971i \(-0.0840428\pi\)
−0.999767 + 0.0215695i \(0.993134\pi\)
\(224\) −9.34478 + 1.26246i −0.624374 + 0.0843516i
\(225\) −4.17707 2.68444i −0.278471 0.178962i
\(226\) 31.5962 + 6.08967i 2.10175 + 0.405079i
\(227\) 1.66877 6.87876i 0.110760 0.456560i −0.889239 0.457442i \(-0.848766\pi\)
1.00000 0.000882393i \(0.000280875\pi\)
\(228\) −6.77630 0.647059i −0.448772 0.0428525i
\(229\) 3.94583 + 6.83438i 0.260748 + 0.451628i 0.966441 0.256889i \(-0.0826976\pi\)
−0.705693 + 0.708518i \(0.749364\pi\)
\(230\) −1.33920 + 1.63099i −0.0883042 + 0.107544i
\(231\) 4.10485 + 8.13156i 0.270079 + 0.535017i
\(232\) 11.6750 + 25.5647i 0.766502 + 1.67841i
\(233\) 19.3597 + 18.4594i 1.26829 + 1.20932i 0.966709 + 0.255877i \(0.0823641\pi\)
0.301585 + 0.953439i \(0.402484\pi\)
\(234\) −5.43379 15.6999i −0.355218 1.02633i
\(235\) 0.139517 0.0719259i 0.00910107 0.00469193i
\(236\) −6.00546 + 17.3516i −0.390922 + 1.12950i
\(237\) 0.949168 + 6.60161i 0.0616551 + 0.428821i
\(238\) −4.92794 1.75270i −0.319431 0.113611i
\(239\) −4.12854 + 2.65325i −0.267053 + 0.171625i −0.667314 0.744777i \(-0.732556\pi\)
0.400261 + 0.916401i \(0.368920\pi\)
\(240\) 0.284967 0.114084i 0.0183946 0.00736407i
\(241\) 12.3115 + 17.2891i 0.793053 + 1.11369i 0.991051 + 0.133485i \(0.0426168\pi\)
−0.197997 + 0.980203i \(0.563444\pi\)
\(242\) −1.16881 1.64136i −0.0751338 0.105511i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) −25.3639 + 16.3004i −1.62375 + 1.04352i
\(245\) 0.163595 + 1.29388i 0.0104517 + 0.0826630i
\(246\) 0.683941 + 4.75691i 0.0436065 + 0.303290i
\(247\) 4.37665 12.6455i 0.278480 0.804614i
\(248\) −33.1913 + 17.1113i −2.10765 + 1.08657i
\(249\) 3.41229 + 9.85915i 0.216245 + 0.624799i
\(250\) 3.17365 + 3.02607i 0.200719 + 0.191386i
\(251\) −4.74187 10.3832i −0.299304 0.655384i 0.698904 0.715215i \(-0.253671\pi\)
−0.998209 + 0.0598305i \(0.980944\pi\)
\(252\) −9.45234 0.530974i −0.595441 0.0334482i
\(253\) −13.6485 + 9.29192i −0.858076 + 0.584178i
\(254\) 0.00496738 + 0.00860375i 0.000311681 + 0.000539848i
\(255\) −0.155239 0.0148235i −0.00972145 0.000928286i
\(256\) −5.91196 + 24.3695i −0.369498 + 1.52309i
\(257\) −13.2460 2.55295i −0.826260 0.159249i −0.241444 0.970415i \(-0.577621\pi\)
−0.584816 + 0.811166i \(0.698833\pi\)
\(258\) 21.0216 + 13.5098i 1.30875 + 0.841083i
\(259\) −1.44451 + 3.52101i −0.0897574 + 0.218785i
\(260\) 0.667390 + 4.64180i 0.0413898 + 0.287872i
\(261\) −1.77750 7.32694i −0.110024 0.453526i
\(262\) −0.177674 3.72983i −0.0109767 0.230430i
\(263\) 3.13578 + 2.46601i 0.193361 + 0.152061i 0.710146 0.704055i \(-0.248629\pi\)
−0.516785 + 0.856115i \(0.672871\pi\)
\(264\) 12.7756 1.21992i 0.786282 0.0750808i
\(265\) 0.962973 2.10862i 0.0591550 0.129531i
\(266\) −8.91732 7.86084i −0.546756 0.481979i
\(267\) −9.07397 + 5.83149i −0.555318 + 0.356881i
\(268\) −8.48430 34.9728i −0.518261 2.13630i
\(269\) 24.6319 + 9.86114i 1.50184 + 0.601244i 0.969457 0.245262i \(-0.0788741\pi\)
0.532378 + 0.846507i \(0.321298\pi\)
\(270\) −0.432086 + 0.0832778i −0.0262959 + 0.00506813i
\(271\) −0.414589 + 8.70329i −0.0251845 + 0.528687i 0.950662 + 0.310229i \(0.100406\pi\)
−0.975846 + 0.218458i \(0.929897\pi\)
\(272\) −0.903057 + 1.04218i −0.0547559 + 0.0631916i
\(273\) 5.39511 17.8116i 0.326527 1.07801i
\(274\) 8.78569 + 19.2380i 0.530763 + 1.16221i
\(275\) 8.54734 + 14.8044i 0.515424 + 0.892741i
\(276\) −1.27088 17.1137i −0.0764979 1.03012i
\(277\) 7.92492 13.7264i 0.476162 0.824737i −0.523465 0.852047i \(-0.675361\pi\)
0.999627 + 0.0273100i \(0.00869411\pi\)
\(278\) −12.0582 + 16.9333i −0.723201 + 1.01559i
\(279\) 9.61191 2.82231i 0.575450 0.168967i
\(280\) 1.78194 + 0.448393i 0.106491 + 0.0267966i
\(281\) −16.1821 10.3996i −0.965342 0.620388i −0.0398706 0.999205i \(-0.512695\pi\)
−0.925472 + 0.378817i \(0.876331\pi\)
\(282\) −0.650808 + 1.88039i −0.0387551 + 0.111975i
\(283\) −26.2443 10.5066i −1.56006 0.624554i −0.578496 0.815685i \(-0.696360\pi\)
−0.981564 + 0.191132i \(0.938784\pi\)
\(284\) −6.42006 + 6.12151i −0.380960 + 0.363245i
\(285\) −0.315029 0.162409i −0.0186607 0.00962028i
\(286\) −8.14014 + 56.6159i −0.481336 + 3.34777i
\(287\) −2.50753 + 4.76389i −0.148015 + 0.281204i
\(288\) 1.48057 3.24200i 0.0872436 0.191037i
\(289\) −15.1319 + 6.05788i −0.890109 + 0.356346i
\(290\) 0.157860 + 3.31390i 0.00926988 + 0.194599i
\(291\) 3.96965 3.78506i 0.232705 0.221884i
\(292\) 21.4659 16.8809i 1.25620 0.987883i
\(293\) −15.9217 18.3747i −0.930158 1.07346i −0.997130 0.0757042i \(-0.975880\pi\)
0.0669728 0.997755i \(-0.478666\pi\)
\(294\) −12.8198 10.4398i −0.747666 0.608859i
\(295\) −0.626070 + 0.722523i −0.0364512 + 0.0420669i
\(296\) 3.88071 + 3.70025i 0.225562 + 0.215073i
\(297\) −3.42725 0.327263i −0.198869 0.0189897i
\(298\) 19.7887 34.2751i 1.14633 1.98550i
\(299\) 33.2829 + 5.50357i 1.92480 + 0.318280i
\(300\) −17.7672 −1.02579
\(301\) 10.1820 + 26.0748i 0.586883 + 1.50293i
\(302\) 11.1921 3.28629i 0.644032 0.189105i
\(303\) −14.1672 2.73051i −0.813885 0.156864i
\(304\) −2.78577 + 1.43616i −0.159775 + 0.0823697i
\(305\) −1.54147 + 0.297093i −0.0882641 + 0.0170115i
\(306\) 1.55394 1.22203i 0.0888327 0.0698588i
\(307\) 7.86668 + 2.30987i 0.448975 + 0.131831i 0.498401 0.866947i \(-0.333921\pi\)
−0.0494255 + 0.998778i \(0.515739\pi\)
\(308\) 28.0876 + 16.5369i 1.60044 + 0.942275i
\(309\) 2.32073 16.1410i 0.132022 0.918232i
\(310\) −4.38821 + 0.419023i −0.249234 + 0.0237989i
\(311\) −8.87457 12.4626i −0.503231 0.706689i 0.482334 0.875987i \(-0.339789\pi\)
−0.985565 + 0.169299i \(0.945850\pi\)
\(312\) −20.6111 16.2087i −1.16687 0.917640i
\(313\) 3.27701 + 1.68942i 0.185228 + 0.0954914i 0.548346 0.836252i \(-0.315258\pi\)
−0.363118 + 0.931743i \(0.618288\pi\)
\(314\) 22.8004 + 6.69482i 1.28670 + 0.377810i
\(315\) −0.446629 0.208583i −0.0251647 0.0117523i
\(316\) 15.6285 + 18.0362i 0.879170 + 1.01462i
\(317\) 0.218602 4.58903i 0.0122779 0.257745i −0.984380 0.176057i \(-0.943666\pi\)
0.996658 0.0816885i \(-0.0260313\pi\)
\(318\) 9.61125 + 27.7699i 0.538972 + 1.55726i
\(319\) −6.11964 + 25.2255i −0.342634 + 1.41236i
\(320\) −1.26582 + 1.77760i −0.0707617 + 0.0993710i
\(321\) −1.38135 −0.0770994
\(322\) 15.7455 25.4987i 0.877461 1.42099i
\(323\) 1.59229 0.0885972
\(324\) 2.07561 2.91478i 0.115311 0.161932i
\(325\) 8.23431 33.9423i 0.456757 1.88278i
\(326\) −8.06784 23.3105i −0.446836 1.29105i
\(327\) −0.457610 + 9.60642i −0.0253059 + 0.531236i
\(328\) 4.96709 + 5.73232i 0.274261 + 0.316515i
\(329\) −1.82665 + 1.27745i −0.100706 + 0.0704281i
\(330\) 1.45361 + 0.426820i 0.0800188 + 0.0234956i
\(331\) 9.74912 + 5.02602i 0.535860 + 0.276255i 0.704842 0.709364i \(-0.251018\pi\)
−0.168982 + 0.985619i \(0.554048\pi\)
\(332\) 29.3450 + 23.0771i 1.61052 + 1.26652i
\(333\) −0.834388 1.17173i −0.0457242 0.0642106i
\(334\) 13.7763 1.31547i 0.753803 0.0719795i
\(335\) 0.266664 1.85469i 0.0145694 0.101332i
\(336\) −3.79340 + 2.14726i −0.206947 + 0.117143i
\(337\) 10.8907 + 3.19779i 0.593254 + 0.174195i 0.564558 0.825393i \(-0.309047\pi\)
0.0286954 + 0.999588i \(0.490865\pi\)
\(338\) 67.7261 53.2604i 3.68382 2.89699i
\(339\) −13.3778 + 2.57836i −0.726583 + 0.140037i
\(340\) −0.495984 + 0.255698i −0.0268985 + 0.0138672i
\(341\) −33.8661 6.52715i −1.83395 0.353465i
\(342\) 4.31103 1.26583i 0.233114 0.0684485i
\(343\) −4.76218 17.8975i −0.257133 0.966376i
\(344\) 39.4388 2.12640
\(345\) 0.269745 0.851831i 0.0145226 0.0458610i
\(346\) 11.8390 20.5058i 0.636471 1.10240i
\(347\) −23.8519 2.27758i −1.28043 0.122267i −0.567427 0.823423i \(-0.692061\pi\)
−0.713007 + 0.701157i \(0.752667\pi\)
\(348\) −19.5251 18.6172i −1.04666 0.997986i
\(349\) −22.8982 + 26.4260i −1.22571 + 1.41455i −0.346548 + 0.938032i \(0.612646\pi\)
−0.879166 + 0.476517i \(0.841899\pi\)
\(350\) −25.1199 18.2121i −1.34272 0.973480i
\(351\) 4.60642 + 5.31609i 0.245873 + 0.283752i
\(352\) −9.64531 + 7.58516i −0.514097 + 0.404290i
\(353\) 10.0914 9.62216i 0.537113 0.512136i −0.372254 0.928131i \(-0.621415\pi\)
0.909367 + 0.415995i \(0.136567\pi\)
\(354\) −0.576668 12.1058i −0.0306496 0.643413i
\(355\) −0.428791 + 0.171662i −0.0227579 + 0.00911088i
\(356\) −16.0335 + 35.1084i −0.849771 + 1.86074i
\(357\) 2.21283 0.0865326i 0.117116 0.00457979i
\(358\) −2.83556 + 19.7218i −0.149864 + 1.04233i
\(359\) −3.76322 1.94007i −0.198615 0.102393i 0.356050 0.934467i \(-0.384123\pi\)
−0.554665 + 0.832074i \(0.687154\pi\)
\(360\) −0.502636 + 0.479263i −0.0264913 + 0.0252594i
\(361\) −14.2793 5.71657i −0.751542 0.300872i
\(362\) −8.23864 + 23.8040i −0.433013 + 1.25111i
\(363\) 0.717711 + 0.461245i 0.0376700 + 0.0242091i
\(364\) −18.2171 64.0544i −0.954834 3.35736i
\(365\) 1.36428 0.400589i 0.0714098 0.0209678i
\(366\) 11.5434 16.2105i 0.603385 0.847335i
\(367\) −7.76568 + 13.4506i −0.405365 + 0.702114i −0.994364 0.106021i \(-0.966189\pi\)
0.588998 + 0.808134i \(0.299522\pi\)
\(368\) −4.75229 6.31239i −0.247730 0.329056i
\(369\) −1.01739 1.76217i −0.0529633 0.0917351i
\(370\) 0.262948 + 0.575776i 0.0136700 + 0.0299332i
\(371\) −9.54284 + 31.5050i −0.495439 + 1.63566i
\(372\) 23.4742 27.0907i 1.21708 1.40459i
\(373\) −0.0117032 + 0.245680i −0.000605968 + 0.0127208i −0.999150 0.0412205i \(-0.986875\pi\)
0.998544 + 0.0539414i \(0.0171784\pi\)
\(374\) −6.68311 + 1.28806i −0.345575 + 0.0666042i
\(375\) −1.72365 0.690047i −0.0890091 0.0356339i
\(376\) 0.740402 + 3.05198i 0.0381833 + 0.157394i
\(377\) 44.6151 28.6724i 2.29780 1.47670i
\(378\) 5.92234 1.99344i 0.304613 0.102531i
\(379\) 7.41217 16.2304i 0.380738 0.833699i −0.618128 0.786078i \(-0.712109\pi\)
0.998865 0.0476215i \(-0.0151641\pi\)
\(380\) −1.26251 + 0.120555i −0.0647652 + 0.00618432i
\(381\) −0.00330643 0.00260020i −0.000169393 0.000133212i
\(382\) −1.09213 22.9266i −0.0558781 1.17303i
\(383\) 0.0269614 + 0.111137i 0.00137766 + 0.00567881i 0.972496 0.232919i \(-0.0748275\pi\)
−0.971119 + 0.238597i \(0.923312\pi\)
\(384\) −2.92254 20.3267i −0.149140 1.03729i
\(385\) 1.03768 + 1.34289i 0.0528849 + 0.0684401i
\(386\) 2.71340 + 1.74380i 0.138108 + 0.0887568i
\(387\) −10.3889 2.00230i −0.528097 0.101782i
\(388\) 4.62718 19.0735i 0.234909 0.968309i
\(389\) −3.16971 0.302671i −0.160711 0.0153460i 0.0143905 0.999896i \(-0.495419\pi\)
−0.175101 + 0.984550i \(0.556025\pi\)
\(390\) −1.54766 2.68062i −0.0783687 0.135739i
\(391\) 0.676454 + 3.95676i 0.0342098 + 0.200102i
\(392\) −25.9294 2.92232i −1.30963 0.147600i
\(393\) 0.656771 + 1.43813i 0.0331297 + 0.0725439i
\(394\) −24.0676 22.9484i −1.21251 1.15612i
\(395\) 0.406416 + 1.17426i 0.0204490 + 0.0590836i
\(396\) −10.9500 + 5.64510i −0.550256 + 0.283677i
\(397\) −6.56051 + 18.9553i −0.329262 + 0.951341i 0.651925 + 0.758283i \(0.273962\pi\)
−0.981187 + 0.193058i \(0.938160\pi\)
\(398\) −1.06462 7.40458i −0.0533645 0.371158i
\(399\) 4.74213 + 1.68662i 0.237403 + 0.0844364i
\(400\) −6.88186 + 4.42270i −0.344093 + 0.221135i
\(401\) 12.0194 4.81185i 0.600221 0.240292i −0.0515965 0.998668i \(-0.516431\pi\)
0.651818 + 0.758376i \(0.274007\pi\)
\(402\) 13.7783 + 19.3488i 0.687197 + 0.965033i
\(403\) 40.8746 + 57.4003i 2.03611 + 2.85931i
\(404\) −47.9291 + 19.1879i −2.38456 + 0.954634i
\(405\) 0.156735 0.100728i 0.00778825 0.00500520i
\(406\) −8.52195 46.3358i −0.422937 2.29961i
\(407\) 0.704798 + 4.90198i 0.0349355 + 0.242982i
\(408\) 1.02048 2.94848i 0.0505213 0.145972i
\(409\) 8.84755 4.56123i 0.437483 0.225538i −0.225392 0.974268i \(-0.572366\pi\)
0.662875 + 0.748730i \(0.269336\pi\)
\(410\) 0.292851 + 0.846137i 0.0144629 + 0.0417877i
\(411\) −6.48071 6.17934i −0.319670 0.304804i
\(412\) −24.2399 53.0780i −1.19422 2.61497i
\(413\) 7.43691 11.3582i 0.365946 0.558902i
\(414\) 4.97701 + 10.1750i 0.244607 + 0.500072i
\(415\) 0.971891 + 1.68337i 0.0477083 + 0.0826332i
\(416\) 24.9569 + 2.38310i 1.22361 + 0.116841i
\(417\) 2.07505 8.55348i 0.101616 0.418866i
\(418\) −15.1893 2.92749i −0.742931 0.143188i
\(419\) 11.4857 + 7.38141i 0.561113 + 0.360606i 0.790246 0.612790i \(-0.209953\pi\)
−0.229133 + 0.973395i \(0.573589\pi\)
\(420\) −1.74798 + 0.236148i −0.0852926 + 0.0115228i
\(421\) −2.50158 17.3989i −0.121920 0.847970i −0.955378 0.295387i \(-0.904551\pi\)
0.833458 0.552583i \(-0.186358\pi\)
\(422\) 2.91045 + 11.9970i 0.141678 + 0.584006i
\(423\) −0.0400873 0.841536i −0.00194911 0.0409169i
\(424\) 36.4568 + 28.6699i 1.77050 + 1.39233i
\(425\) 4.13719 0.395053i 0.200683 0.0191629i
\(426\) 2.43230 5.32600i 0.117845 0.258046i
\(427\) 21.1280 7.11159i 1.02245 0.344154i
\(428\) −4.15819 + 2.67231i −0.200994 + 0.129171i
\(429\) −5.70952 23.5350i −0.275658 1.13628i
\(430\) 4.32215 + 1.73033i 0.208433 + 0.0834439i
\(431\) −16.7550 + 3.22927i −0.807061 + 0.155548i −0.576062 0.817406i \(-0.695411\pi\)
−0.230999 + 0.972954i \(0.574199\pi\)
\(432\) 0.0783928 1.64567i 0.00377168 0.0791772i
\(433\) −14.3300 + 16.5377i −0.688656 + 0.794751i −0.987173 0.159653i \(-0.948962\pi\)
0.298517 + 0.954404i \(0.403508\pi\)
\(434\) 60.9579 14.2397i 2.92607 0.683529i
\(435\) −0.583530 1.27775i −0.0279781 0.0612635i
\(436\) 17.2067 + 29.8029i 0.824053 + 1.42730i
\(437\) −1.91500 + 8.92008i −0.0916070 + 0.426705i
\(438\) −9.01244 + 15.6100i −0.430631 + 0.745875i
\(439\) 3.77581 5.30238i 0.180209 0.253069i −0.714583 0.699550i \(-0.753384\pi\)
0.894793 + 0.446481i \(0.147323\pi\)
\(440\) 2.29421 0.673641i 0.109372 0.0321146i
\(441\) 6.68189 + 2.08622i 0.318185 + 0.0993436i
\(442\) 11.6983 + 7.51805i 0.556432 + 0.357597i
\(443\) −0.648416 + 1.87348i −0.0308072 + 0.0890115i −0.959356 0.282199i \(-0.908936\pi\)
0.928549 + 0.371211i \(0.121057\pi\)
\(444\) −4.77851 1.91302i −0.226778 0.0907881i
\(445\) −1.45442 + 1.38679i −0.0689461 + 0.0657400i
\(446\) 7.58218 + 3.90889i 0.359027 + 0.185091i
\(447\) −2.38478 + 16.5865i −0.112796 + 0.784514i
\(448\) 14.4341 27.4225i 0.681949 1.29559i
\(449\) 11.7898 25.8162i 0.556397 1.21834i −0.397332 0.917675i \(-0.630064\pi\)
0.953730 0.300665i \(-0.0972088\pi\)
\(450\) 10.8872 4.35856i 0.513226 0.205465i
\(451\) 0.333332 + 6.99750i 0.0156960 + 0.329499i
\(452\) −35.2824 + 33.6417i −1.65955 + 1.58237i
\(453\) −3.88214 + 3.05295i −0.182399 + 0.143440i
\(454\) 10.9478 + 12.6345i 0.513807 + 0.592964i
\(455\) 0.358976 3.44877i 0.0168291 0.161681i
\(456\) 4.64379 5.35922i 0.217466 0.250969i
\(457\) 8.53580 + 8.13887i 0.399288 + 0.380720i 0.862948 0.505293i \(-0.168616\pi\)
−0.463660 + 0.886013i \(0.653464\pi\)
\(458\) −18.5544 1.77173i −0.866991 0.0827876i
\(459\) −0.418506 + 0.724874i −0.0195342 + 0.0338342i
\(460\) −0.835926 3.08605i −0.0389752 0.143888i
\(461\) −34.2421 −1.59481 −0.797407 0.603442i \(-0.793796\pi\)
−0.797407 + 0.603442i \(0.793796\pi\)
\(462\) −21.2679 3.24294i −0.989473 0.150875i
\(463\) 1.10474 0.324381i 0.0513417 0.0150753i −0.255961 0.966687i \(-0.582392\pi\)
0.307303 + 0.951612i \(0.400574\pi\)
\(464\) −12.1971 2.35079i −0.566234 0.109133i
\(465\) 1.65894 0.855241i 0.0769313 0.0396609i
\(466\) −62.0368 + 11.9566i −2.87380 + 0.553879i
\(467\) 26.0805 20.5099i 1.20686 0.949085i 0.207286 0.978280i \(-0.433537\pi\)
0.999574 + 0.0291954i \(0.00929450\pi\)
\(468\) 24.1508 + 7.09130i 1.11637 + 0.327796i
\(469\) −0.226568 + 26.6077i −0.0104619 + 1.22863i
\(470\) −0.0527601 + 0.366954i −0.00243364 + 0.0169263i
\(471\) −10.0157 + 0.956381i −0.461498 + 0.0440677i
\(472\) −11.0953 15.5812i −0.510702 0.717181i
\(473\) 28.6324 + 22.5168i 1.31652 + 1.03532i
\(474\) −14.0012 7.21811i −0.643095 0.331539i
\(475\) 9.06308 + 2.66116i 0.415842 + 0.122102i
\(476\) 6.49376 4.54136i 0.297641 0.208153i
\(477\) −8.14781 9.40307i −0.373062 0.430537i
\(478\) 0.551521 11.5778i 0.0252260 0.529558i
\(479\) 7.01488 + 20.2682i 0.320518 + 0.926076i 0.984044 + 0.177923i \(0.0569378\pi\)
−0.663526 + 0.748153i \(0.730941\pi\)
\(480\) 0.156551 0.645312i 0.00714555 0.0294543i
\(481\) 5.86925 8.24221i 0.267615 0.375812i
\(482\) −50.1292 −2.28332
\(483\) −2.17656 + 12.5005i −0.0990369 + 0.568793i
\(484\) 3.05279 0.138763
\(485\) 0.592767 0.832425i 0.0269162 0.0377985i
\(486\) −0.556825 + 2.29526i −0.0252581 + 0.104115i
\(487\) −5.89456 17.0312i −0.267108 0.771757i −0.996180 0.0873209i \(-0.972169\pi\)
0.729072 0.684437i \(-0.239952\pi\)
\(488\) 1.49448 31.3730i 0.0676520 1.42019i
\(489\) 6.83940 + 7.89309i 0.309288 + 0.356938i
\(490\) −2.71342 1.45788i −0.122580 0.0658602i
\(491\) −9.14412 2.68496i −0.412668 0.121170i 0.0688071 0.997630i \(-0.478081\pi\)
−0.481475 + 0.876460i \(0.659899\pi\)
\(492\) −6.47163 3.33636i −0.291764 0.150415i
\(493\) 4.96049 + 3.90097i 0.223409 + 0.175691i
\(494\) 18.3326 + 25.7446i 0.824824 + 1.15830i
\(495\) −0.638537 + 0.0609729i −0.0287001 + 0.00274053i
\(496\) 2.34884 16.3365i 0.105466 0.733531i
\(497\) 5.70794 3.23099i 0.256036 0.144930i
\(498\) −23.6428 6.94216i −1.05946 0.311086i
\(499\) 31.7417 24.9620i 1.42095 1.11745i 0.446003 0.895032i \(-0.352847\pi\)
0.974951 0.222419i \(-0.0713953\pi\)
\(500\) −6.52356 + 1.25731i −0.291742 + 0.0562287i
\(501\) −5.20803 + 2.68492i −0.232677 + 0.119954i
\(502\) 26.4727 + 5.10219i 1.18153 + 0.227722i
\(503\) −24.7881 + 7.27843i −1.10524 + 0.324529i −0.782934 0.622105i \(-0.786278\pi\)
−0.322311 + 0.946634i \(0.604460\pi\)
\(504\) 6.16233 7.70020i 0.274492 0.342994i
\(505\) −2.68810 −0.119619
\(506\) 0.821799 38.9883i 0.0365334 1.73324i
\(507\) −18.2400 + 31.5926i −0.810066 + 1.40308i
\(508\) −0.0149834 0.00143074i −0.000664781 6.34789e-5i
\(509\) 22.9791 + 21.9105i 1.01853 + 0.971166i 0.999589 0.0286545i \(-0.00912227\pi\)
0.0189403 + 0.999821i \(0.493971\pi\)
\(510\) 0.241197 0.278356i 0.0106804 0.0123258i
\(511\) −18.4377 + 8.23121i −0.815636 + 0.364127i
\(512\) −11.8889 13.7205i −0.525418 0.606365i
\(513\) −1.49534 + 1.17595i −0.0660211 + 0.0519196i
\(514\) 23.0586 21.9863i 1.01707 0.969775i
\(515\) −0.144563 3.03475i −0.00637020 0.133727i
\(516\) −35.1467 + 14.0706i −1.54725 + 0.619424i
\(517\) −1.20494 + 2.63844i −0.0529930 + 0.116038i
\(518\) −4.79509 7.60288i −0.210684 0.334051i
\(519\) −1.42675 + 9.92323i −0.0626272 + 0.435582i
\(520\) −4.34221 2.23857i −0.190419 0.0981676i
\(521\) −22.3033 + 21.2661i −0.977125 + 0.931687i −0.997678 0.0681021i \(-0.978306\pi\)
0.0205535 + 0.999789i \(0.493457\pi\)
\(522\) 16.5315 + 6.61820i 0.723562 + 0.289671i
\(523\) −0.516103 + 1.49118i −0.0225676 + 0.0652048i −0.955722 0.294271i \(-0.904923\pi\)
0.933154 + 0.359476i \(0.117044\pi\)
\(524\) 4.75919 + 3.05854i 0.207906 + 0.133613i
\(525\) 12.7398 + 3.20574i 0.556009 + 0.139910i
\(526\) −9.04037 + 2.65449i −0.394179 + 0.115741i
\(527\) −4.86374 + 6.83017i −0.211868 + 0.297527i
\(528\) −2.83610 + 4.91227i −0.123425 + 0.213779i
\(529\) −22.9796 0.969162i −0.999112 0.0421375i
\(530\) 2.73749 + 4.74147i 0.118909 + 0.205956i
\(531\) 2.13165 + 4.66766i 0.0925057 + 0.202559i
\(532\) 17.5378 4.09683i 0.760361 0.177620i
\(533\) 9.37307 10.8171i 0.405993 0.468540i
\(534\) 1.21217 25.4465i 0.0524556 1.10118i
\(535\) −0.252711 + 0.0487060i −0.0109256 + 0.00210574i
\(536\) 34.8039 + 13.9334i 1.50330 + 0.601831i
\(537\) −1.98887 8.19824i −0.0858262 0.353780i
\(538\) −52.7176 + 33.8795i −2.27282 + 1.46065i
\(539\) −17.1562 16.9254i −0.738968 0.729030i
\(540\) 0.276947 0.606430i 0.0119179 0.0260966i
\(541\) −28.7263 + 2.74303i −1.23504 + 0.117932i −0.692076 0.721825i \(-0.743304\pi\)
−0.542963 + 0.839757i \(0.682698\pi\)
\(542\) −16.1762 12.7211i −0.694829 0.546420i
\(543\) −0.507469 10.6531i −0.0217776 0.457167i
\(544\) 0.703311 + 2.89909i 0.0301542 + 0.124297i
\(545\) 0.255002 + 1.77358i 0.0109231 + 0.0759718i
\(546\) 26.8763 + 34.7815i 1.15020 + 1.48851i
\(547\) −10.1806 6.54268i −0.435291 0.279745i 0.304588 0.952484i \(-0.401481\pi\)
−0.739879 + 0.672739i \(0.765117\pi\)
\(548\) −31.4628 6.06396i −1.34403 0.259040i
\(549\) −1.98647 + 8.18834i −0.0847805 + 0.349470i
\(550\) −40.1921 3.83788i −1.71380 0.163648i
\(551\) 7.17134 + 12.4211i 0.305509 + 0.529158i
\(552\) 15.2903 + 9.26285i 0.650797 + 0.394253i
\(553\) −7.95195 15.7525i −0.338151 0.669865i
\(554\) 15.5510 + 34.0519i 0.660697 + 1.44673i
\(555\) −0.193962 0.184942i −0.00823323 0.00785037i
\(556\) −10.3009 29.7624i −0.436854 1.26221i
\(557\) −40.8682 + 21.0690i −1.73164 + 0.892724i −0.762223 + 0.647314i \(0.775892\pi\)
−0.969420 + 0.245409i \(0.921078\pi\)
\(558\) −7.73849 + 22.3589i −0.327596 + 0.946528i
\(559\) −10.5914 73.6650i −0.447970 3.11570i
\(560\) −0.618270 + 0.526584i −0.0261267 + 0.0222523i
\(561\) 2.42424 1.55796i 0.102351 0.0657773i
\(562\) 42.1772 16.8852i 1.77914 0.712260i
\(563\) 3.77913 + 5.30705i 0.159271 + 0.223666i 0.886498 0.462732i \(-0.153131\pi\)
−0.727227 + 0.686397i \(0.759191\pi\)
\(564\) −1.74868 2.45567i −0.0736326 0.103403i
\(565\) −2.35649 + 0.943396i −0.0991382 + 0.0396890i
\(566\) 56.1683 36.0972i 2.36093 1.51728i
\(567\) −2.01421 + 1.71551i −0.0845887 + 0.0720447i
\(568\) −1.31513 9.14696i −0.0551818 0.383798i
\(569\) −7.13525 + 20.6160i −0.299125 + 0.864266i 0.690846 + 0.723002i \(0.257238\pi\)
−0.989972 + 0.141265i \(0.954883\pi\)
\(570\) 0.744049 0.383584i 0.0311648 0.0160666i
\(571\) 0.826372 + 2.38764i 0.0345826 + 0.0999198i 0.960971 0.276651i \(-0.0892245\pi\)
−0.926388 + 0.376570i \(0.877103\pi\)
\(572\) −62.7169 59.8005i −2.62233 2.50038i
\(573\) 4.03704 + 8.83989i 0.168650 + 0.369292i
\(574\) −5.72992 11.3508i −0.239162 0.473772i
\(575\) −2.76258 + 23.6519i −0.115208 + 0.986352i
\(576\) 5.85643 + 10.1436i 0.244018 + 0.422651i
\(577\) 13.8409 + 1.32165i 0.576205 + 0.0550209i 0.379090 0.925360i \(-0.376237\pi\)
0.197114 + 0.980381i \(0.436843\pi\)
\(578\) 9.07591 37.4114i 0.377508 1.55611i
\(579\) −1.34096 0.258449i −0.0557285 0.0107408i
\(580\) −4.22846 2.71747i −0.175577 0.112837i
\(581\) −16.8777 21.8419i −0.700204 0.906156i
\(582\) 1.84363 + 12.8227i 0.0764209 + 0.531519i
\(583\) 10.0990 + 41.6285i 0.418256 + 1.72408i
\(584\) 1.35363 + 28.4161i 0.0560134 + 1.17587i
\(585\) 1.03016 + 0.810131i 0.0425921 + 0.0334948i
\(586\) 57.1637 5.45847i 2.36141 0.225488i
\(587\) −11.1580 + 24.4326i −0.460539 + 1.00844i 0.526825 + 0.849974i \(0.323382\pi\)
−0.987364 + 0.158466i \(0.949345\pi\)
\(588\) 24.1500 6.64654i 0.995931 0.274099i
\(589\) −16.0319 + 10.3031i −0.660582 + 0.424530i
\(590\) −0.532344 2.19435i −0.0219163 0.0903400i
\(591\) 13.0714 + 5.23302i 0.537687 + 0.215258i
\(592\) −2.32708 + 0.448508i −0.0956425 + 0.0184336i
\(593\) −0.345173 + 7.24608i −0.0141746 + 0.297561i 0.980638 + 0.195832i \(0.0627406\pi\)
−0.994812 + 0.101729i \(0.967562\pi\)
\(594\) 5.32495 6.14533i 0.218486 0.252146i
\(595\) 0.401776 0.0938547i 0.0164712 0.00384767i
\(596\) 24.9089 + 54.5429i 1.02031 + 2.23416i
\(597\) 1.58366 + 2.74299i 0.0648151 + 0.112263i
\(598\) −56.1859 + 56.4929i −2.29761 + 2.31017i
\(599\) 14.9234 25.8480i 0.609752 1.05612i −0.381529 0.924357i \(-0.624602\pi\)
0.991281 0.131765i \(-0.0420645\pi\)
\(600\) 10.7362 15.0769i 0.438303 0.615510i
\(601\) 20.4473 6.00386i 0.834061 0.244902i 0.163301 0.986576i \(-0.447786\pi\)
0.670761 + 0.741674i \(0.265968\pi\)
\(602\) −64.1146 16.1333i −2.61312 0.657545i
\(603\) −8.46058 5.43729i −0.344542 0.221423i
\(604\) −5.78005 + 16.7003i −0.235187 + 0.679527i
\(605\) 0.147565 + 0.0590760i 0.00599936 + 0.00240178i
\(606\) 24.6623 23.5155i 1.00184 0.955251i
\(607\) −20.1463 10.3861i −0.817713 0.421560i −0.00198614 0.999998i \(-0.500632\pi\)
−0.815726 + 0.578438i \(0.803663\pi\)
\(608\) −0.964911 + 6.71110i −0.0391323 + 0.272171i
\(609\) 10.6412 + 16.8722i 0.431203 + 0.683695i
\(610\) 1.54023 3.37264i 0.0623622 0.136554i
\(611\) 5.50173 2.20256i 0.222576 0.0891061i
\(612\) 0.142511 + 2.99167i 0.00576066 + 0.120931i
\(613\) 25.8949 24.6907i 1.04588 0.997248i 0.0458853 0.998947i \(-0.485389\pi\)
0.999999 + 0.00169849i \(0.000540646\pi\)
\(614\) −15.2213 + 11.9702i −0.614282 + 0.483076i
\(615\) −0.248260 0.286508i −0.0100108 0.0115531i
\(616\) −31.0053 + 13.8418i −1.24924 + 0.557702i
\(617\) 28.4799 32.8675i 1.14656 1.32320i 0.207976 0.978134i \(-0.433312\pi\)
0.938580 0.345063i \(-0.112142\pi\)
\(618\) 27.8743 + 26.5781i 1.12127 + 1.06913i
\(619\) 13.0848 + 1.24945i 0.525922 + 0.0502195i 0.354641 0.935003i \(-0.384603\pi\)
0.171281 + 0.985222i \(0.445209\pi\)
\(620\) 3.33928 5.78380i 0.134109 0.232283i
\(621\) −3.55746 3.21628i −0.142756 0.129065i
\(622\) 36.1349 1.44888
\(623\) 17.8312 22.2811i 0.714393 0.892675i
\(624\) 11.1196 3.26502i 0.445142 0.130705i
\(625\) 24.0381 + 4.63297i 0.961525 + 0.185319i
\(626\) −7.73977 + 3.99013i −0.309343 + 0.159478i
\(627\) 6.43111 1.23950i 0.256834 0.0495007i
\(628\) −28.2994 + 22.2549i −1.12927 + 0.888068i
\(629\) 1.15524 + 0.339208i 0.0460623 + 0.0135251i
\(630\) 1.01317 0.573510i 0.0403658 0.0228492i
\(631\) −4.11620 + 28.6288i −0.163863 + 1.13969i 0.727402 + 0.686211i \(0.240727\pi\)
−0.891265 + 0.453482i \(0.850182\pi\)
\(632\) −24.7489 + 2.36324i −0.984460 + 0.0940045i
\(633\) −3.03188 4.25768i −0.120506 0.169228i
\(634\) 8.52933 + 6.70754i 0.338743 + 0.266390i
\(635\) −0.000696576 0 0.000359110i −2.76428e−5 0 1.42508e-5i
\(636\) −42.7177 12.5431i −1.69387 0.497364i
\(637\) 1.50502 + 49.2164i 0.0596309 + 1.95002i
\(638\) −40.1473 46.3325i −1.58945 1.83432i
\(639\) −0.117958 + 2.47624i −0.00466635 + 0.0979586i
\(640\) −1.25138 3.61561i −0.0494650 0.142920i
\(641\) 5.84220 24.0819i 0.230753 0.951177i −0.732110 0.681187i \(-0.761464\pi\)
0.962863 0.269991i \(-0.0870206\pi\)
\(642\) 1.89245 2.65757i 0.0746890 0.104886i
\(643\) −2.34196 −0.0923578 −0.0461789 0.998933i \(-0.514704\pi\)
−0.0461789 + 0.998933i \(0.514704\pi\)
\(644\) 17.6311 + 41.8402i 0.694761 + 1.64874i
\(645\) −1.97120 −0.0776158
\(646\) −2.18143 + 3.06339i −0.0858273 + 0.120528i
\(647\) 1.96244 8.08929i 0.0771515 0.318023i −0.920139 0.391593i \(-0.871924\pi\)
0.997290 + 0.0735702i \(0.0234393\pi\)
\(648\) 1.21919 + 3.52263i 0.0478944 + 0.138382i
\(649\) 0.840606 17.6465i 0.0329967 0.692685i
\(650\) 54.0205 + 62.3429i 2.11886 + 2.44529i
\(651\) −21.7199 + 15.1896i −0.851271 + 0.595329i
\(652\) 35.8579 + 10.5288i 1.40431 + 0.412341i
\(653\) −38.5270 19.8620i −1.50768 0.777261i −0.511067 0.859541i \(-0.670750\pi\)
−0.996609 + 0.0822797i \(0.973780\pi\)
\(654\) −17.8548 14.0412i −0.698179 0.549054i
\(655\) 0.170861 + 0.239940i 0.00667608 + 0.00937525i
\(656\) −3.33719 + 0.318663i −0.130296 + 0.0124417i
\(657\) 1.08611 7.55404i 0.0423730 0.294711i
\(658\) 0.0448270 5.26439i 0.00174754 0.205227i
\(659\) 12.5347 + 3.68051i 0.488281 + 0.143372i 0.516600 0.856227i \(-0.327197\pi\)
−0.0283192 + 0.999599i \(0.509015\pi\)
\(660\) −1.80419 + 1.41883i −0.0702282 + 0.0552281i
\(661\) −19.6769 + 3.79242i −0.765344 + 0.147508i −0.556960 0.830539i \(-0.688032\pi\)
−0.208384 + 0.978047i \(0.566820\pi\)
\(662\) −23.0258 + 11.8706i −0.894925 + 0.461366i
\(663\) −5.78131 1.11426i −0.224527 0.0432741i
\(664\) −37.3150 + 10.9567i −1.44810 + 0.425202i
\(665\) 0.927017 + 0.141352i 0.0359482 + 0.00548138i
\(666\) 3.39741 0.131647
\(667\) −27.8193 + 23.0974i −1.07717 + 0.894333i
\(668\) −10.4833 + 18.1575i −0.405609 + 0.702536i
\(669\) −3.59544 0.343323i −0.139008 0.0132736i
\(670\) 3.20290 + 3.05395i 0.123739 + 0.117985i
\(671\) 18.9968 21.9234i 0.733362 0.846345i
\(672\) −0.976243 + 9.37900i −0.0376594 + 0.361803i
\(673\) −18.4357 21.2759i −0.710644 0.820127i 0.279505 0.960144i \(-0.409830\pi\)
−0.990149 + 0.140017i \(0.955284\pi\)
\(674\) −21.0725 + 16.5716i −0.811682 + 0.638313i
\(675\) −3.59355 + 3.42644i −0.138316 + 0.131884i
\(676\) 6.21113 + 130.388i 0.238890 + 5.01491i
\(677\) 25.3252 10.1387i 0.973325 0.389660i 0.170159 0.985417i \(-0.445572\pi\)
0.803165 + 0.595756i \(0.203148\pi\)
\(678\) 13.3671 29.2699i 0.513361 1.12410i
\(679\) −6.75930 + 12.8415i −0.259398 + 0.492813i
\(680\) 0.0827288 0.575391i 0.00317250 0.0220653i
\(681\) −6.29144 3.24346i −0.241088 0.124290i
\(682\) 58.9541 56.2126i 2.25747 2.15249i
\(683\) 28.2458 + 11.3079i 1.08080 + 0.432686i 0.842605 0.538533i \(-0.181021\pi\)
0.238192 + 0.971218i \(0.423445\pi\)
\(684\) −2.22639 + 6.43274i −0.0851283 + 0.245962i
\(685\) −1.40349 0.901971i −0.0536247 0.0344625i
\(686\) 40.9572 + 15.3577i 1.56375 + 0.586360i
\(687\) 7.57199 2.22334i 0.288890 0.0848256i
\(688\) −10.1110 + 14.1989i −0.385479 + 0.541329i
\(689\) 43.7599 75.7944i 1.66712 2.88754i
\(690\) 1.26928 + 1.68597i 0.0483208 + 0.0641838i
\(691\) −3.56499 6.17475i −0.135619 0.234898i 0.790215 0.612830i \(-0.209969\pi\)
−0.925834 + 0.377931i \(0.876636\pi\)
\(692\) 14.9023 + 32.6315i 0.566500 + 1.24046i
\(693\) 8.87010 2.07205i 0.336947 0.0787107i
\(694\) 37.0589 42.7682i 1.40674 1.62346i
\(695\) 0.0780267 1.63798i 0.00295972 0.0621322i
\(696\) 27.5966 5.31881i 1.04605 0.201609i
\(697\) 1.58114 + 0.632992i 0.0598899 + 0.0239763i
\(698\) −19.4702 80.2574i −0.736959 3.03779i
\(699\) 22.5033 14.4620i 0.851152 0.547002i
\(700\) 44.5515 14.9959i 1.68389 0.566791i
\(701\) −12.2968 + 26.9262i −0.464442 + 1.01699i 0.522010 + 0.852939i \(0.325182\pi\)
−0.986452 + 0.164048i \(0.947545\pi\)
\(702\) −16.5384 + 1.57923i −0.624202 + 0.0596041i
\(703\) 2.15099 + 1.69156i 0.0811262 + 0.0637983i
\(704\) −1.91876 40.2798i −0.0723161 1.51810i
\(705\) −0.0370061 0.152541i −0.00139373 0.00574503i
\(706\) 4.68678 + 32.5973i 0.176389 + 1.22681i
\(707\) 37.8291 5.11063i 1.42271 0.192205i
\(708\) 15.4467 + 9.92698i 0.580522 + 0.373079i
\(709\) −6.45632 1.24435i −0.242472 0.0467327i 0.0665671 0.997782i \(-0.478795\pi\)
−0.309039 + 0.951049i \(0.600007\pi\)
\(710\) 0.257184 1.06013i 0.00965194 0.0397859i
\(711\) 6.63930 + 0.633976i 0.248993 + 0.0237760i
\(712\) −20.1037 34.8205i −0.753416 1.30496i
\(713\) −32.4135 35.4614i −1.21390 1.32804i
\(714\) −2.86511 + 4.37582i −0.107224 + 0.163761i
\(715\) −1.87436 4.10428i −0.0700972 0.153492i
\(716\) −21.8470 20.8311i −0.816461 0.778494i
\(717\) 1.60512 + 4.63769i 0.0599443 + 0.173198i
\(718\) 8.88812 4.58214i 0.331702 0.171004i
\(719\) 1.61510 4.66654i 0.0602332 0.174033i −0.910869 0.412695i \(-0.864588\pi\)
0.971103 + 0.238662i \(0.0767089\pi\)
\(720\) −0.0436843 0.303831i −0.00162802 0.0113231i
\(721\) 7.80409 + 42.4326i 0.290640 + 1.58027i
\(722\) 30.5607 19.6402i 1.13735 0.730933i
\(723\) 19.7043 7.88840i 0.732810 0.293373i
\(724\) −22.1367 31.0866i −0.822703 1.15532i
\(725\) 21.7148 + 30.4942i 0.806467 + 1.13252i
\(726\) −1.87065 + 0.748896i −0.0694264 + 0.0277941i
\(727\) 27.6576 17.7744i 1.02576 0.659218i 0.0843368 0.996437i \(-0.473123\pi\)
0.941426 + 0.337220i \(0.109486\pi\)
\(728\) 65.3631 + 23.2475i 2.42252 + 0.861609i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −1.09838 + 3.17355i −0.0406527 + 0.117458i
\(731\) 7.87123 4.05790i 0.291128 0.150087i
\(732\) 9.86112 + 28.4918i 0.364478 + 1.05309i
\(733\) −32.5747 31.0599i −1.20317 1.14722i −0.985225 0.171264i \(-0.945215\pi\)
−0.217949 0.975960i \(-0.569937\pi\)
\(734\) −15.2385 33.3677i −0.562463 1.23162i
\(735\) 1.29598 + 0.146061i 0.0478029 + 0.00538753i
\(736\) −17.0867 + 0.453330i −0.629825 + 0.0167100i
\(737\) 17.3125 + 29.9862i 0.637715 + 1.10455i
\(738\) 4.78407 + 0.456823i 0.176104 + 0.0168159i
\(739\) −9.89708 + 40.7963i −0.364070 + 1.50072i 0.435525 + 0.900177i \(0.356563\pi\)
−0.799595 + 0.600540i \(0.794952\pi\)
\(740\) −0.941656 0.181489i −0.0346160 0.00667168i
\(741\) −11.2572 7.23457i −0.413544 0.265769i
\(742\) −47.5387 61.5213i −1.74520 2.25852i
\(743\) −3.35232 23.3159i −0.122985 0.855376i −0.954145 0.299344i \(-0.903232\pi\)
0.831161 0.556032i \(-0.187677\pi\)
\(744\) 8.80381 + 36.2898i 0.322763 + 1.33045i
\(745\) 0.148553 + 3.11850i 0.00544254 + 0.114253i
\(746\) −0.456630 0.359098i −0.0167184 0.0131475i
\(747\) 10.3857 0.991716i 0.379994 0.0362850i
\(748\) 4.28356 9.37969i 0.156623 0.342956i
\(749\) 3.46375 1.16589i 0.126563 0.0426005i
\(750\) 3.68899 2.37077i 0.134703 0.0865682i
\(751\) 2.76623 + 11.4026i 0.100941 + 0.416085i 0.999752 0.0222508i \(-0.00708323\pi\)
−0.898811 + 0.438336i \(0.855568\pi\)
\(752\) −1.28860 0.515879i −0.0469905 0.0188122i
\(753\) −11.2085 + 2.16026i −0.408460 + 0.0787242i
\(754\) −5.96002 + 125.116i −0.217051 + 4.55646i
\(755\) −0.602571 + 0.695404i −0.0219298 + 0.0253083i
\(756\) −2.74448 + 9.06071i −0.0998158 + 0.329535i
\(757\) 9.42360 + 20.6348i 0.342507 + 0.749985i 0.999994 0.00348075i \(-0.00110796\pi\)
−0.657487 + 0.753466i \(0.728381\pi\)
\(758\) 21.0709 + 36.4959i 0.765330 + 1.32559i
\(759\) 5.81223 + 15.4545i 0.210971 + 0.560961i
\(760\) 0.660594 1.14418i 0.0239622 0.0415038i
\(761\) 19.6590 27.6072i 0.712639 1.00076i −0.286450 0.958095i \(-0.592475\pi\)
0.999089 0.0426664i \(-0.0135853\pi\)
\(762\) 0.00953233 0.00279895i 0.000345320 0.000101395i
\(763\) −6.96055 24.4745i −0.251989 0.886035i
\(764\) 29.2538 + 18.8003i 1.05837 + 0.680171i
\(765\) −0.0510047 + 0.147368i −0.00184408 + 0.00532811i
\(766\) −0.250752 0.100386i −0.00906005 0.00362710i
\(767\) −26.1233 + 24.9085i −0.943256 + 0.899393i
\(768\) 22.2887 + 11.4906i 0.804275 + 0.414632i
\(769\) 1.66813 11.6021i 0.0601544 0.418383i −0.937386 0.348292i \(-0.886762\pi\)
0.997541 0.0700912i \(-0.0223290\pi\)
\(770\) −4.00520 + 0.156623i −0.144337 + 0.00564430i
\(771\) −5.60384 + 12.2707i −0.201817 + 0.441918i
\(772\) −4.53661 + 1.81618i −0.163276 + 0.0653659i
\(773\)