Properties

Label 483.2.r.a.34.4
Level $483$
Weight $2$
Character 483.34
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.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 34.4
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.07156 + 1.33131i) q^{2} +(0.989821 + 0.142315i) q^{3} +(1.68815 - 3.69653i) q^{4} +(-3.92324 + 1.15197i) q^{5} +(-2.23994 + 1.02295i) q^{6} +(-2.13872 - 1.55752i) q^{7} +(0.723239 + 5.03024i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(-2.07156 + 1.33131i) q^{2} +(0.989821 + 0.142315i) q^{3} +(1.68815 - 3.69653i) q^{4} +(-3.92324 + 1.15197i) q^{5} +(-2.23994 + 1.02295i) q^{6} +(-2.13872 - 1.55752i) q^{7} +(0.723239 + 5.03024i) q^{8} +(0.959493 + 0.281733i) q^{9} +(6.59362 - 7.60944i) q^{10} +(1.89212 - 2.94419i) q^{11} +(2.19704 - 3.41866i) q^{12} +(-0.793257 - 0.687361i) q^{13} +(6.50404 + 0.379186i) q^{14} +(-4.04725 + 0.581907i) q^{15} +(-2.87265 - 3.31522i) q^{16} +(2.66454 + 5.83452i) q^{17} +(-2.36272 + 0.693758i) q^{18} +(-0.346361 + 0.758424i) q^{19} +(-2.36473 + 16.4471i) q^{20} +(-1.89530 - 1.84604i) q^{21} +8.61807i q^{22} +(4.30464 + 2.11425i) q^{23} +5.08197i q^{24} +(9.85854 - 6.33570i) q^{25} +(2.55837 + 0.367839i) q^{26} +(0.909632 + 0.415415i) q^{27} +(-9.36790 + 5.27654i) q^{28} +(-2.92092 - 6.39592i) q^{29} +(7.60944 - 6.59362i) q^{30} +(8.75171 - 1.25831i) q^{31} +(0.612256 + 0.179774i) q^{32} +(2.29186 - 2.64495i) q^{33} +(-13.2873 - 8.53925i) q^{34} +(10.1849 + 3.64678i) q^{35} +(2.66120 - 3.07119i) q^{36} +(-0.804448 + 2.73970i) q^{37} +(-0.292192 - 2.03224i) q^{38} +(-0.687361 - 0.793257i) q^{39} +(-8.63212 - 18.9017i) q^{40} +(1.15572 + 3.93602i) q^{41} +(6.38388 + 1.30095i) q^{42} +(9.48236 + 1.36336i) q^{43} +(-7.68912 - 11.9645i) q^{44} -4.08887 q^{45} +(-11.7321 + 1.35101i) q^{46} -7.61974i q^{47} +(-2.37161 - 3.69030i) q^{48} +(2.14828 + 6.66220i) q^{49} +(-11.9878 + 26.2496i) q^{50} +(1.80708 + 6.15434i) q^{51} +(-3.87999 + 1.77193i) q^{52} +(-0.894616 + 0.775190i) q^{53} +(-2.43741 + 0.350446i) q^{54} +(-4.03162 + 13.7304i) q^{55} +(6.28788 - 11.8847i) q^{56} +(-0.450770 + 0.701412i) q^{57} +(14.5658 + 9.36089i) q^{58} +(-6.11750 - 5.30085i) q^{59} +(-4.68133 + 15.9431i) q^{60} +(0.390573 + 2.71650i) q^{61} +(-16.4545 + 14.2579i) q^{62} +(-1.61329 - 2.09698i) q^{63} +(6.91028 - 2.02904i) q^{64} +(3.90396 + 1.78288i) q^{65} +(-1.22648 + 8.53035i) q^{66} +(3.02175 + 4.70194i) q^{67} +26.0656 q^{68} +(3.95994 + 2.70535i) q^{69} +(-25.9538 + 6.00481i) q^{70} +(11.9080 - 7.65284i) q^{71} +(-0.723239 + 5.03024i) q^{72} +(-2.76674 - 1.26353i) q^{73} +(-1.98093 - 6.74643i) q^{74} +(10.6599 - 4.86820i) q^{75} +(2.21883 + 2.56067i) q^{76} +(-8.63234 + 3.34980i) q^{77} +(2.47998 + 0.728189i) q^{78} +(-2.98192 - 2.58385i) q^{79} +(15.0891 + 9.69721i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-7.63422 - 6.61509i) q^{82} +(3.67625 + 1.07944i) q^{83} +(-10.0235 + 3.88964i) q^{84} +(-17.1748 - 19.8208i) q^{85} +(-21.4584 + 9.79971i) q^{86} +(-1.98095 - 6.74651i) q^{87} +(16.1784 + 7.38844i) q^{88} +(-0.689807 + 4.79771i) q^{89} +(8.47035 - 5.44357i) q^{90} +(0.625980 + 2.70559i) q^{91} +(15.0823 - 12.3431i) q^{92} +8.84170 q^{93} +(10.1443 + 15.7848i) q^{94} +(0.485177 - 3.37448i) q^{95} +(0.580439 + 0.265078i) q^{96} +(3.41254 - 1.00201i) q^{97} +(-13.3198 - 10.9411i) q^{98} +(2.64495 - 2.29186i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.07156 + 1.33131i −1.46482 + 0.941380i −0.466432 + 0.884557i \(0.654461\pi\)
−0.998384 + 0.0568231i \(0.981903\pi\)
\(3\) 0.989821 + 0.142315i 0.571474 + 0.0821655i
\(4\) 1.68815 3.69653i 0.844075 1.84827i
\(5\) −3.92324 + 1.15197i −1.75453 + 0.515176i −0.991377 0.131044i \(-0.958167\pi\)
−0.763151 + 0.646220i \(0.776349\pi\)
\(6\) −2.23994 + 1.02295i −0.914453 + 0.417617i
\(7\) −2.13872 1.55752i −0.808362 0.588686i
\(8\) 0.723239 + 5.03024i 0.255704 + 1.77846i
\(9\) 0.959493 + 0.281733i 0.319831 + 0.0939109i
\(10\) 6.59362 7.60944i 2.08508 2.40632i
\(11\) 1.89212 2.94419i 0.570494 0.887707i −0.429387 0.903121i \(-0.641270\pi\)
0.999881 + 0.0154141i \(0.00490665\pi\)
\(12\) 2.19704 3.41866i 0.634230 0.986881i
\(13\) −0.793257 0.687361i −0.220010 0.190640i 0.537881 0.843021i \(-0.319225\pi\)
−0.757891 + 0.652381i \(0.773770\pi\)
\(14\) 6.50404 + 0.379186i 1.73828 + 0.101342i
\(15\) −4.04725 + 0.581907i −1.04500 + 0.150248i
\(16\) −2.87265 3.31522i −0.718163 0.828805i
\(17\) 2.66454 + 5.83452i 0.646245 + 1.41508i 0.894803 + 0.446462i \(0.147316\pi\)
−0.248558 + 0.968617i \(0.579957\pi\)
\(18\) −2.36272 + 0.693758i −0.556899 + 0.163520i
\(19\) −0.346361 + 0.758424i −0.0794606 + 0.173994i −0.945193 0.326514i \(-0.894126\pi\)
0.865732 + 0.500508i \(0.166853\pi\)
\(20\) −2.36473 + 16.4471i −0.528771 + 3.67768i
\(21\) −1.89530 1.84604i −0.413588 0.402838i
\(22\) 8.61807i 1.83738i
\(23\) 4.30464 + 2.11425i 0.897580 + 0.440853i
\(24\) 5.08197i 1.03735i
\(25\) 9.85854 6.33570i 1.97171 1.26714i
\(26\) 2.55837 + 0.367839i 0.501738 + 0.0721391i
\(27\) 0.909632 + 0.415415i 0.175059 + 0.0799467i
\(28\) −9.36790 + 5.27654i −1.77037 + 0.997172i
\(29\) −2.92092 6.39592i −0.542401 1.18769i −0.960241 0.279172i \(-0.909940\pi\)
0.417841 0.908520i \(-0.362787\pi\)
\(30\) 7.60944 6.59362i 1.38929 1.20382i
\(31\) 8.75171 1.25831i 1.57185 0.225998i 0.699412 0.714718i \(-0.253445\pi\)
0.872441 + 0.488720i \(0.162536\pi\)
\(32\) 0.612256 + 0.179774i 0.108233 + 0.0317799i
\(33\) 2.29186 2.64495i 0.398961 0.460426i
\(34\) −13.2873 8.53925i −2.27876 1.46447i
\(35\) 10.1849 + 3.64678i 1.72157 + 0.616418i
\(36\) 2.66120 3.07119i 0.443533 0.511865i
\(37\) −0.804448 + 2.73970i −0.132251 + 0.450404i −0.998815 0.0486606i \(-0.984505\pi\)
0.866565 + 0.499064i \(0.166323\pi\)
\(38\) −0.292192 2.03224i −0.0473998 0.329673i
\(39\) −0.687361 0.793257i −0.110066 0.127023i
\(40\) −8.63212 18.9017i −1.36486 2.98862i
\(41\) 1.15572 + 3.93602i 0.180493 + 0.614703i 0.999181 + 0.0404645i \(0.0128838\pi\)
−0.818688 + 0.574239i \(0.805298\pi\)
\(42\) 6.38388 + 1.30095i 0.985054 + 0.200741i
\(43\) 9.48236 + 1.36336i 1.44605 + 0.207910i 0.820218 0.572050i \(-0.193852\pi\)
0.625829 + 0.779961i \(0.284761\pi\)
\(44\) −7.68912 11.9645i −1.15918 1.80372i
\(45\) −4.08887 −0.609533
\(46\) −11.7321 + 1.35101i −1.72980 + 0.199196i
\(47\) 7.61974i 1.11145i −0.831365 0.555727i \(-0.812440\pi\)
0.831365 0.555727i \(-0.187560\pi\)
\(48\) −2.37161 3.69030i −0.342312 0.532648i
\(49\) 2.14828 + 6.66220i 0.306897 + 0.951743i
\(50\) −11.9878 + 26.2496i −1.69533 + 3.71225i
\(51\) 1.80708 + 6.15434i 0.253041 + 0.861779i
\(52\) −3.87999 + 1.77193i −0.538057 + 0.245723i
\(53\) −0.894616 + 0.775190i −0.122885 + 0.106480i −0.714135 0.700008i \(-0.753180\pi\)
0.591250 + 0.806488i \(0.298634\pi\)
\(54\) −2.43741 + 0.350446i −0.331689 + 0.0476897i
\(55\) −4.03162 + 13.7304i −0.543623 + 1.85141i
\(56\) 6.28788 11.8847i 0.840253 1.58817i
\(57\) −0.450770 + 0.701412i −0.0597060 + 0.0929043i
\(58\) 14.5658 + 9.36089i 1.91259 + 1.22915i
\(59\) −6.11750 5.30085i −0.796431 0.690111i 0.158363 0.987381i \(-0.449379\pi\)
−0.954794 + 0.297270i \(0.903924\pi\)
\(60\) −4.68133 + 15.9431i −0.604357 + 2.05825i
\(61\) 0.390573 + 2.71650i 0.0500078 + 0.347812i 0.999428 + 0.0338048i \(0.0107625\pi\)
−0.949421 + 0.314007i \(0.898328\pi\)
\(62\) −16.4545 + 14.2579i −2.08973 + 1.81076i
\(63\) −1.61329 2.09698i −0.203255 0.264194i
\(64\) 6.91028 2.02904i 0.863786 0.253630i
\(65\) 3.90396 + 1.78288i 0.484226 + 0.221139i
\(66\) −1.22648 + 8.53035i −0.150969 + 1.05001i
\(67\) 3.02175 + 4.70194i 0.369166 + 0.574433i 0.975288 0.220939i \(-0.0709121\pi\)
−0.606122 + 0.795372i \(0.707276\pi\)
\(68\) 26.0656 3.16092
\(69\) 3.95994 + 2.70535i 0.476720 + 0.325686i
\(70\) −25.9538 + 6.00481i −3.10207 + 0.717712i
\(71\) 11.9080 7.65284i 1.41322 0.908225i 0.413228 0.910628i \(-0.364401\pi\)
0.999997 + 0.00240311i \(0.000764933\pi\)
\(72\) −0.723239 + 5.03024i −0.0852346 + 0.592819i
\(73\) −2.76674 1.26353i −0.323822 0.147885i 0.246870 0.969049i \(-0.420598\pi\)
−0.570692 + 0.821164i \(0.693325\pi\)
\(74\) −1.98093 6.74643i −0.230279 0.784257i
\(75\) 10.6599 4.86820i 1.23089 0.562131i
\(76\) 2.21883 + 2.56067i 0.254517 + 0.293729i
\(77\) −8.63234 + 3.34980i −0.983747 + 0.381746i
\(78\) 2.47998 + 0.728189i 0.280803 + 0.0824512i
\(79\) −2.98192 2.58385i −0.335492 0.290705i 0.470780 0.882251i \(-0.343973\pi\)
−0.806272 + 0.591545i \(0.798518\pi\)
\(80\) 15.0891 + 9.69721i 1.68702 + 1.08418i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) −7.63422 6.61509i −0.843059 0.730515i
\(83\) 3.67625 + 1.07944i 0.403521 + 0.118484i 0.477194 0.878798i \(-0.341654\pi\)
−0.0736732 + 0.997282i \(0.523472\pi\)
\(84\) −10.0235 + 3.88964i −1.09365 + 0.424394i
\(85\) −17.1748 19.8208i −1.86287 2.14987i
\(86\) −21.4584 + 9.79971i −2.31392 + 1.05673i
\(87\) −1.98095 6.74651i −0.212380 0.723301i
\(88\) 16.1784 + 7.38844i 1.72463 + 0.787610i
\(89\) −0.689807 + 4.79771i −0.0731194 + 0.508556i 0.920043 + 0.391817i \(0.128153\pi\)
−0.993163 + 0.116739i \(0.962756\pi\)
\(90\) 8.47035 5.44357i 0.892854 0.573802i
\(91\) 0.625980 + 2.70559i 0.0656206 + 0.283623i
\(92\) 15.0823 12.3431i 1.57244 1.28685i
\(93\) 8.84170 0.916842
\(94\) 10.1443 + 15.7848i 1.04630 + 1.62808i
\(95\) 0.485177 3.37448i 0.0497781 0.346214i
\(96\) 0.580439 + 0.265078i 0.0592408 + 0.0270544i
\(97\) 3.41254 1.00201i 0.346491 0.101739i −0.103857 0.994592i \(-0.533118\pi\)
0.450347 + 0.892853i \(0.351300\pi\)
\(98\) −13.3198 10.9411i −1.34550 1.10522i
\(99\) 2.64495 2.29186i 0.265827 0.230340i
\(100\) −6.77742 47.1380i −0.677742 4.71380i
\(101\) 1.65387 5.63255i 0.164566 0.560460i −0.835376 0.549679i \(-0.814750\pi\)
0.999942 0.0107808i \(-0.00343170\pi\)
\(102\) −11.9368 10.3433i −1.18192 1.02414i
\(103\) 0.245688 + 0.157894i 0.0242083 + 0.0155577i 0.552689 0.833388i \(-0.313602\pi\)
−0.528481 + 0.848945i \(0.677238\pi\)
\(104\) 2.88388 4.48740i 0.282787 0.440025i
\(105\) 9.56229 + 5.05913i 0.933184 + 0.493720i
\(106\) 0.821235 2.79687i 0.0797654 0.271656i
\(107\) −0.843377 + 0.121259i −0.0815323 + 0.0117226i −0.182960 0.983120i \(-0.558568\pi\)
0.101428 + 0.994843i \(0.467659\pi\)
\(108\) 3.07119 2.66120i 0.295525 0.256074i
\(109\) 6.76924 3.09141i 0.648376 0.296103i −0.0639491 0.997953i \(-0.520370\pi\)
0.712325 + 0.701850i \(0.247642\pi\)
\(110\) −9.92775 33.8108i −0.946573 3.22373i
\(111\) −1.18616 + 2.59733i −0.112585 + 0.246528i
\(112\) 0.980300 + 11.5645i 0.0926296 + 1.09275i
\(113\) 8.07463 + 12.5644i 0.759597 + 1.18196i 0.978507 + 0.206211i \(0.0661135\pi\)
−0.218910 + 0.975745i \(0.570250\pi\)
\(114\) 2.05314i 0.192294i
\(115\) −19.3237 3.33593i −1.80194 0.311077i
\(116\) −28.5737 −2.65300
\(117\) −0.567472 0.883004i −0.0524628 0.0816338i
\(118\) 19.7299 + 2.83673i 1.81628 + 0.261142i
\(119\) 3.38866 16.6285i 0.310638 1.52433i
\(120\) −5.85426 19.9378i −0.534419 1.82006i
\(121\) −0.518586 1.13554i −0.0471442 0.103231i
\(122\) −4.42560 5.10742i −0.400675 0.462404i
\(123\) 0.583803 + 4.06044i 0.0526397 + 0.366117i
\(124\) 10.1228 34.4752i 0.909056 3.09596i
\(125\) −17.9907 + 20.7624i −1.60914 + 1.85705i
\(126\) 6.13375 + 2.19623i 0.546438 + 0.195655i
\(127\) −4.91575 3.15916i −0.436202 0.280330i 0.304054 0.952655i \(-0.401660\pi\)
−0.740257 + 0.672324i \(0.765296\pi\)
\(128\) −12.4495 + 14.3675i −1.10039 + 1.26992i
\(129\) 9.19182 + 2.69896i 0.809295 + 0.237630i
\(130\) −10.4609 + 1.50404i −0.917478 + 0.131913i
\(131\) 12.9354 11.2086i 1.13017 0.979298i 0.130245 0.991482i \(-0.458424\pi\)
0.999926 + 0.0121838i \(0.00387832\pi\)
\(132\) −5.90813 12.9370i −0.514236 1.12602i
\(133\) 1.92203 1.08260i 0.166661 0.0938731i
\(134\) −12.5195 5.71746i −1.08152 0.493913i
\(135\) −4.04725 0.581907i −0.348332 0.0500826i
\(136\) −27.4219 + 17.6230i −2.35141 + 1.51116i
\(137\) 14.9660i 1.27863i −0.768945 0.639315i \(-0.779218\pi\)
0.768945 0.639315i \(-0.220782\pi\)
\(138\) −11.8049 0.332387i −1.00490 0.0282947i
\(139\) 15.7945i 1.33967i −0.742511 0.669834i \(-0.766365\pi\)
0.742511 0.669834i \(-0.233635\pi\)
\(140\) 30.6741 31.4927i 2.59244 2.66162i
\(141\) 1.08440 7.54218i 0.0913232 0.635166i
\(142\) −14.4799 + 31.7067i −1.21513 + 2.66076i
\(143\) −3.52465 + 1.03493i −0.294746 + 0.0865454i
\(144\) −1.82229 3.99025i −0.151857 0.332521i
\(145\) 18.8274 + 21.7279i 1.56353 + 1.80441i
\(146\) 7.41362 1.06592i 0.613555 0.0882159i
\(147\) 1.17828 + 6.90012i 0.0971830 + 0.569112i
\(148\) 8.76936 + 7.59869i 0.720837 + 0.624609i
\(149\) 3.58782 5.58275i 0.293925 0.457357i −0.662614 0.748961i \(-0.730553\pi\)
0.956539 + 0.291605i \(0.0941892\pi\)
\(150\) −15.6015 + 24.2764i −1.27386 + 1.98216i
\(151\) −8.73356 + 10.0791i −0.710727 + 0.820223i −0.990160 0.139943i \(-0.955308\pi\)
0.279433 + 0.960165i \(0.409854\pi\)
\(152\) −4.06556 1.19376i −0.329760 0.0968263i
\(153\) 0.912829 + 6.34887i 0.0737979 + 0.513276i
\(154\) 13.4228 18.4317i 1.08164 1.48527i
\(155\) −32.8855 + 15.0183i −2.64143 + 1.20630i
\(156\) −4.09267 + 1.20172i −0.327676 + 0.0962142i
\(157\) 0.0986331 0.215976i 0.00787177 0.0172368i −0.905655 0.424015i \(-0.860620\pi\)
0.913527 + 0.406778i \(0.133348\pi\)
\(158\) 9.61714 + 1.38274i 0.765098 + 0.110005i
\(159\) −0.995831 + 0.639982i −0.0789746 + 0.0507539i
\(160\) −2.60912 −0.206269
\(161\) −5.91345 11.2264i −0.466045 0.884761i
\(162\) −2.46247 −0.193470
\(163\) −3.22195 + 2.07062i −0.252363 + 0.162184i −0.660706 0.750645i \(-0.729743\pi\)
0.408343 + 0.912828i \(0.366107\pi\)
\(164\) 16.5007 + 2.37244i 1.28849 + 0.185256i
\(165\) −5.94463 + 13.0169i −0.462789 + 1.01337i
\(166\) −9.05266 + 2.65810i −0.702622 + 0.206309i
\(167\) 20.4575 9.34262i 1.58305 0.722954i 0.586819 0.809718i \(-0.300380\pi\)
0.996229 + 0.0867648i \(0.0276529\pi\)
\(168\) 7.91525 10.8689i 0.610675 0.838555i
\(169\) −1.69330 11.7772i −0.130254 0.905936i
\(170\) 61.9664 + 18.1950i 4.75260 + 1.39549i
\(171\) −0.546004 + 0.630122i −0.0417539 + 0.0481866i
\(172\) 21.0473 32.7503i 1.60485 2.49719i
\(173\) 3.31704 5.16142i 0.252190 0.392415i −0.691958 0.721938i \(-0.743251\pi\)
0.944148 + 0.329523i \(0.106888\pi\)
\(174\) 13.0854 + 11.3385i 0.992000 + 0.859573i
\(175\) −30.9527 1.80454i −2.33980 0.136411i
\(176\) −15.1960 + 2.18486i −1.14544 + 0.164690i
\(177\) −5.30085 6.11750i −0.398436 0.459820i
\(178\) −4.95828 10.8571i −0.371638 0.813775i
\(179\) 0.260510 0.0764925i 0.0194714 0.00571732i −0.271982 0.962302i \(-0.587679\pi\)
0.291454 + 0.956585i \(0.405861\pi\)
\(180\) −6.90263 + 15.1146i −0.514491 + 1.12658i
\(181\) 1.12148 7.80008i 0.0833591 0.579775i −0.904741 0.425962i \(-0.859936\pi\)
0.988100 0.153813i \(-0.0491553\pi\)
\(182\) −4.89874 4.77142i −0.363119 0.353681i
\(183\) 2.74443i 0.202874i
\(184\) −7.52192 + 23.1825i −0.554523 + 1.70904i
\(185\) 11.6752i 0.858378i
\(186\) −18.3161 + 11.7711i −1.34300 + 0.863097i
\(187\) 22.2195 + 3.19469i 1.62485 + 0.233619i
\(188\) −28.1666 12.8633i −2.05426 0.938150i
\(189\) −1.29844 2.30523i −0.0944473 0.167681i
\(190\) 3.48741 + 7.63637i 0.253004 + 0.554001i
\(191\) 0.766696 0.664346i 0.0554762 0.0480704i −0.626681 0.779276i \(-0.715587\pi\)
0.682158 + 0.731205i \(0.261042\pi\)
\(192\) 7.12871 1.02495i 0.514470 0.0739697i
\(193\) 6.75131 + 1.98236i 0.485970 + 0.142694i 0.515534 0.856869i \(-0.327594\pi\)
−0.0295640 + 0.999563i \(0.509412\pi\)
\(194\) −5.73530 + 6.61889i −0.411770 + 0.475208i
\(195\) 3.61049 + 2.32032i 0.258553 + 0.166162i
\(196\) 28.2536 + 3.30561i 2.01812 + 0.236115i
\(197\) −12.5038 + 14.4302i −0.890860 + 1.02811i 0.108562 + 0.994090i \(0.465376\pi\)
−0.999421 + 0.0340171i \(0.989170\pi\)
\(198\) −2.42799 + 8.26898i −0.172550 + 0.587651i
\(199\) 2.62215 + 18.2375i 0.185880 + 1.29282i 0.842540 + 0.538634i \(0.181059\pi\)
−0.656660 + 0.754186i \(0.728031\pi\)
\(200\) 39.0002 + 45.0086i 2.75773 + 3.18259i
\(201\) 2.32184 + 5.08412i 0.163770 + 0.358606i
\(202\) 4.07260 + 13.8700i 0.286547 + 0.975889i
\(203\) −3.71472 + 18.2285i −0.260722 + 1.27939i
\(204\) 25.8003 + 3.70953i 1.80638 + 0.259719i
\(205\) −9.06835 14.1106i −0.633361 0.985529i
\(206\) −0.719163 −0.0501065
\(207\) 3.53462 + 3.24137i 0.245673 + 0.225291i
\(208\) 4.60437i 0.319256i
\(209\) 1.57759 + 2.45478i 0.109124 + 0.169801i
\(210\) −26.5442 + 2.25009i −1.83172 + 0.155271i
\(211\) −5.65466 + 12.3820i −0.389283 + 0.852411i 0.608962 + 0.793199i \(0.291586\pi\)
−0.998245 + 0.0592120i \(0.981141\pi\)
\(212\) 1.35527 + 4.61561i 0.0930801 + 0.317002i
\(213\) 12.8760 5.88025i 0.882246 0.402908i
\(214\) 1.58567 1.37399i 0.108394 0.0939243i
\(215\) −38.7722 + 5.57460i −2.64424 + 0.380184i
\(216\) −1.43176 + 4.87611i −0.0974186 + 0.331777i
\(217\) −20.6773 10.9398i −1.40367 0.742640i
\(218\) −9.90728 + 15.4160i −0.671006 + 1.04411i
\(219\) −2.55876 1.64441i −0.172905 0.111119i
\(220\) 43.9490 + 38.0820i 2.96304 + 2.56749i
\(221\) 1.89676 6.45977i 0.127590 0.434531i
\(222\) −1.00065 6.95968i −0.0671593 0.467103i
\(223\) −7.56773 + 6.55747i −0.506773 + 0.439121i −0.870343 0.492446i \(-0.836103\pi\)
0.363571 + 0.931567i \(0.381558\pi\)
\(224\) −1.02944 1.33809i −0.0687826 0.0894047i
\(225\) 11.2442 3.30159i 0.749612 0.220106i
\(226\) −33.4542 15.2780i −2.22534 1.01628i
\(227\) −2.47059 + 17.1833i −0.163978 + 1.14050i 0.727062 + 0.686572i \(0.240885\pi\)
−0.891041 + 0.453924i \(0.850024\pi\)
\(228\) 1.83183 + 2.85038i 0.121316 + 0.188771i
\(229\) −8.65471 −0.571920 −0.285960 0.958242i \(-0.592312\pi\)
−0.285960 + 0.958242i \(0.592312\pi\)
\(230\) 44.4714 18.8153i 2.93236 1.24065i
\(231\) −9.02120 + 2.08720i −0.593552 + 0.137328i
\(232\) 30.0605 19.3187i 1.97357 1.26833i
\(233\) −2.80358 + 19.4993i −0.183668 + 1.27744i 0.664329 + 0.747440i \(0.268717\pi\)
−0.847997 + 0.530001i \(0.822192\pi\)
\(234\) 2.35111 + 1.07372i 0.153697 + 0.0701910i
\(235\) 8.77770 + 29.8941i 0.572594 + 1.95008i
\(236\) −29.9220 + 13.6649i −1.94776 + 0.889511i
\(237\) −2.58385 2.98192i −0.167839 0.193696i
\(238\) 15.1179 + 38.9583i 0.979947 + 2.52529i
\(239\) −11.6601 3.42372i −0.754231 0.221462i −0.118056 0.993007i \(-0.537666\pi\)
−0.636175 + 0.771545i \(0.719484\pi\)
\(240\) 13.5555 + 11.7459i 0.875004 + 0.758195i
\(241\) −10.6522 6.84576i −0.686169 0.440974i 0.150553 0.988602i \(-0.451895\pi\)
−0.836722 + 0.547628i \(0.815531\pi\)
\(242\) 2.58605 + 1.66195i 0.166237 + 0.106834i
\(243\) 0.755750 + 0.654861i 0.0484814 + 0.0420093i
\(244\) 10.7010 + 3.14209i 0.685059 + 0.201151i
\(245\) −16.1029 23.6627i −1.02877 1.51175i
\(246\) −6.61509 7.63422i −0.421763 0.486740i
\(247\) 0.796064 0.363550i 0.0506524 0.0231322i
\(248\) 12.6592 + 43.1131i 0.803857 + 2.73769i
\(249\) 3.48521 + 1.59164i 0.220866 + 0.100866i
\(250\) 9.62767 66.9619i 0.608907 4.23504i
\(251\) 14.4706 9.29969i 0.913376 0.586991i 0.00264728 0.999996i \(-0.499157\pi\)
0.910729 + 0.413006i \(0.135521\pi\)
\(252\) −10.4750 + 2.42356i −0.659863 + 0.152670i
\(253\) 14.3696 8.67326i 0.903412 0.545283i
\(254\) 14.3891 0.902854
\(255\) −14.1792 22.0633i −0.887936 1.38166i
\(256\) 4.61241 32.0800i 0.288276 2.00500i
\(257\) −2.53540 1.15788i −0.158154 0.0722264i 0.334765 0.942301i \(-0.391343\pi\)
−0.492919 + 0.870075i \(0.664070\pi\)
\(258\) −22.6346 + 6.64612i −1.40917 + 0.413769i
\(259\) 5.98762 4.60652i 0.372053 0.286235i
\(260\) 13.1809 11.4213i 0.817446 0.708321i
\(261\) −1.00066 6.95975i −0.0619394 0.430798i
\(262\) −11.8744 + 40.4403i −0.733600 + 2.49841i
\(263\) 9.76428 + 8.46080i 0.602091 + 0.521715i 0.901709 0.432344i \(-0.142314\pi\)
−0.299617 + 0.954059i \(0.596859\pi\)
\(264\) 14.9623 + 9.61567i 0.920864 + 0.591803i
\(265\) 2.61680 4.07183i 0.160749 0.250130i
\(266\) −2.54033 + 4.80149i −0.155758 + 0.294398i
\(267\) −1.36557 + 4.65071i −0.0835716 + 0.284619i
\(268\) 22.4820 3.23243i 1.37331 0.197452i
\(269\) −2.86314 + 2.48093i −0.174569 + 0.151265i −0.737763 0.675060i \(-0.764118\pi\)
0.563194 + 0.826325i \(0.309572\pi\)
\(270\) 9.15884 4.18270i 0.557389 0.254551i
\(271\) 5.41499 + 18.4418i 0.328937 + 1.12026i 0.943495 + 0.331386i \(0.107516\pi\)
−0.614558 + 0.788872i \(0.710666\pi\)
\(272\) 11.6884 25.5941i 0.708715 1.55187i
\(273\) 0.234564 + 2.76713i 0.0141964 + 0.167475i
\(274\) 19.9244 + 31.0030i 1.20368 + 1.87296i
\(275\) 41.0133i 2.47319i
\(276\) 16.6854 10.0710i 1.00434 0.606203i
\(277\) 21.9316 1.31774 0.658872 0.752255i \(-0.271034\pi\)
0.658872 + 0.752255i \(0.271034\pi\)
\(278\) 21.0274 + 32.7192i 1.26114 + 1.96237i
\(279\) 8.75171 + 1.25831i 0.523951 + 0.0753328i
\(280\) −10.9780 + 53.8702i −0.656062 + 3.21936i
\(281\) −5.05699 17.2225i −0.301675 1.02741i −0.961229 0.275753i \(-0.911073\pi\)
0.659554 0.751657i \(-0.270745\pi\)
\(282\) 7.79460 + 17.0678i 0.464162 + 1.01637i
\(283\) −7.57951 8.74722i −0.450555 0.519968i 0.484346 0.874877i \(-0.339058\pi\)
−0.934901 + 0.354908i \(0.884512\pi\)
\(284\) −8.18639 56.9376i −0.485773 3.37862i
\(285\) 0.960477 3.27109i 0.0568938 0.193762i
\(286\) 5.92373 6.83634i 0.350277 0.404241i
\(287\) 3.65866 10.2181i 0.215964 0.603157i
\(288\) 0.536807 + 0.344985i 0.0316316 + 0.0203284i
\(289\) −15.8092 + 18.2448i −0.929955 + 1.07323i
\(290\) −67.9287 19.9457i −3.98891 1.17125i
\(291\) 3.52041 0.506158i 0.206370 0.0296715i
\(292\) −9.34133 + 8.09431i −0.546660 + 0.473684i
\(293\) 3.58074 + 7.84074i 0.209189 + 0.458061i 0.984922 0.173001i \(-0.0553465\pi\)
−0.775732 + 0.631062i \(0.782619\pi\)
\(294\) −11.6271 12.7254i −0.678106 0.742159i
\(295\) 30.1069 + 13.7493i 1.75289 + 0.800518i
\(296\) −14.3632 2.06511i −0.834841 0.120032i
\(297\) 2.94419 1.89212i 0.170839 0.109792i
\(298\) 16.3415i 0.946639i
\(299\) −1.96143 4.63599i −0.113432 0.268106i
\(300\) 47.6228i 2.74950i
\(301\) −18.1567 17.6848i −1.04653 1.01933i
\(302\) 4.67373 32.5065i 0.268943 1.87054i
\(303\) 2.43863 5.33985i 0.140095 0.306766i
\(304\) 3.50932 1.03043i 0.201273 0.0590991i
\(305\) −4.66163 10.2076i −0.266924 0.584483i
\(306\) −10.3433 11.9368i −0.591288 0.682382i
\(307\) 5.19678 0.747184i 0.296596 0.0426441i 0.00758949 0.999971i \(-0.497584\pi\)
0.289007 + 0.957327i \(0.406675\pi\)
\(308\) −2.19002 + 37.5647i −0.124788 + 2.14045i
\(309\) 0.220716 + 0.191252i 0.0125561 + 0.0108799i
\(310\) 48.1304 74.8924i 2.73362 4.25360i
\(311\) 8.84474 13.7627i 0.501539 0.780410i −0.494514 0.869170i \(-0.664654\pi\)
0.996053 + 0.0887594i \(0.0282902\pi\)
\(312\) 3.49314 4.03130i 0.197760 0.228228i
\(313\) 14.1613 + 4.15813i 0.800444 + 0.235031i 0.656275 0.754522i \(-0.272131\pi\)
0.144169 + 0.989553i \(0.453949\pi\)
\(314\) 0.0832074 + 0.578720i 0.00469566 + 0.0326591i
\(315\) 8.74497 + 6.36849i 0.492723 + 0.358824i
\(316\) −14.5852 + 6.66083i −0.820481 + 0.374701i
\(317\) −14.0528 + 4.12628i −0.789285 + 0.231755i −0.651441 0.758699i \(-0.725835\pi\)
−0.137843 + 0.990454i \(0.544017\pi\)
\(318\) 1.21091 2.65153i 0.0679045 0.148690i
\(319\) −24.3575 3.50208i −1.36376 0.196079i
\(320\) −24.7733 + 15.9209i −1.38487 + 0.890003i
\(321\) −0.852049 −0.0475568
\(322\) 27.1959 + 15.3835i 1.51557 + 0.857287i
\(323\) −5.34793 −0.297567
\(324\) 3.41866 2.19704i 0.189925 0.122058i
\(325\) −12.1753 1.75054i −0.675362 0.0971024i
\(326\) 3.91783 8.57884i 0.216988 0.475138i
\(327\) 7.14029 2.09658i 0.394859 0.115941i
\(328\) −18.9633 + 8.66024i −1.04707 + 0.478182i
\(329\) −11.8679 + 16.2965i −0.654298 + 0.898456i
\(330\) −5.01492 34.8795i −0.276062 1.92005i
\(331\) 25.1121 + 7.37357i 1.38028 + 0.405288i 0.885868 0.463937i \(-0.153564\pi\)
0.494416 + 0.869225i \(0.335382\pi\)
\(332\) 10.1963 11.7671i 0.559592 0.645804i
\(333\) −1.54373 + 2.40208i −0.0845956 + 0.131633i
\(334\) −29.9410 + 46.5891i −1.63830 + 2.54924i
\(335\) −17.2715 14.9659i −0.943645 0.817673i
\(336\) −0.675485 + 11.5863i −0.0368507 + 0.632087i
\(337\) −26.0036 + 3.73875i −1.41651 + 0.203663i −0.807671 0.589633i \(-0.799272\pi\)
−0.608836 + 0.793296i \(0.708363\pi\)
\(338\) 19.1869 + 22.1428i 1.04363 + 1.20441i
\(339\) 6.20435 + 13.5856i 0.336974 + 0.737870i
\(340\) −102.262 + 30.0268i −5.54592 + 1.62843i
\(341\) 12.8546 28.1475i 0.696113 1.52427i
\(342\) 0.292192 2.03224i 0.0157999 0.109891i
\(343\) 5.78192 17.5946i 0.312194 0.950018i
\(344\) 48.6846i 2.62490i
\(345\) −18.6523 6.05202i −1.00420 0.325830i
\(346\) 15.1082i 0.812223i
\(347\) −19.7454 + 12.6896i −1.05999 + 0.681212i −0.949851 0.312704i \(-0.898765\pi\)
−0.110136 + 0.993916i \(0.535129\pi\)
\(348\) −28.2828 4.06646i −1.51612 0.217985i
\(349\) −4.33089 1.97785i −0.231827 0.105872i 0.296115 0.955152i \(-0.404309\pi\)
−0.527942 + 0.849280i \(0.677036\pi\)
\(350\) 66.5228 37.4694i 3.55579 2.00283i
\(351\) −0.436032 0.954776i −0.0232737 0.0509622i
\(352\) 1.68775 1.46244i 0.0899573 0.0779485i
\(353\) 35.2417 5.06700i 1.87573 0.269689i 0.892361 0.451322i \(-0.149047\pi\)
0.983366 + 0.181633i \(0.0581382\pi\)
\(354\) 19.1253 + 5.61571i 1.01650 + 0.298472i
\(355\) −37.9023 + 43.7416i −2.01165 + 2.32156i
\(356\) 16.5704 + 10.6491i 0.878229 + 0.564404i
\(357\) 5.72065 15.9770i 0.302769 0.845591i
\(358\) −0.437826 + 0.505279i −0.0231398 + 0.0267048i
\(359\) −9.67814 + 32.9607i −0.510793 + 1.73960i 0.149664 + 0.988737i \(0.452181\pi\)
−0.660457 + 0.750864i \(0.729637\pi\)
\(360\) −2.95723 20.5680i −0.155860 1.08403i
\(361\) 11.9871 + 13.8339i 0.630901 + 0.728098i
\(362\) 8.06112 + 17.6514i 0.423683 + 0.927737i
\(363\) −0.351703 1.19779i −0.0184596 0.0628676i
\(364\) 11.0580 + 2.25348i 0.579598 + 0.118114i
\(365\) 12.3101 + 1.76993i 0.644341 + 0.0926423i
\(366\) −3.65370 5.68526i −0.190982 0.297173i
\(367\) −21.2662 −1.11009 −0.555043 0.831821i \(-0.687298\pi\)
−0.555043 + 0.831821i \(0.687298\pi\)
\(368\) −5.35653 20.3443i −0.279228 1.06052i
\(369\) 4.10219i 0.213552i
\(370\) 15.5434 + 24.1859i 0.808060 + 1.25737i
\(371\) 3.12071 0.264535i 0.162019 0.0137340i
\(372\) 14.9261 32.6836i 0.773883 1.69457i
\(373\) −8.92408 30.3926i −0.462071 1.57367i −0.780141 0.625603i \(-0.784853\pi\)
0.318070 0.948067i \(-0.396965\pi\)
\(374\) −50.2823 + 22.9632i −2.60004 + 1.18740i
\(375\) −20.7624 + 17.9907i −1.07217 + 0.929037i
\(376\) 38.3291 5.51090i 1.97667 0.284203i
\(377\) −2.07927 + 7.08133i −0.107088 + 0.364707i
\(378\) 5.75877 + 3.04680i 0.296199 + 0.156710i
\(379\) 6.74628 10.4974i 0.346533 0.539216i −0.623614 0.781732i \(-0.714336\pi\)
0.970147 + 0.242516i \(0.0779727\pi\)
\(380\) −11.6548 7.49010i −0.597880 0.384234i
\(381\) −4.41612 3.82659i −0.226245 0.196042i
\(382\) −0.703807 + 2.39695i −0.0360099 + 0.122638i
\(383\) 3.13378 + 21.7959i 0.160128 + 1.11372i 0.898388 + 0.439202i \(0.144739\pi\)
−0.738260 + 0.674516i \(0.764352\pi\)
\(384\) −14.3675 + 12.4495i −0.733190 + 0.635313i
\(385\) 30.0079 23.0863i 1.52934 1.17659i
\(386\) −16.6249 + 4.88151i −0.846185 + 0.248462i
\(387\) 8.71416 + 3.97962i 0.442966 + 0.202296i
\(388\) 2.05691 14.3061i 0.104424 0.726282i
\(389\) 0.0341704 + 0.0531702i 0.00173251 + 0.00269584i 0.842119 0.539292i \(-0.181308\pi\)
−0.840386 + 0.541988i \(0.817672\pi\)
\(390\) −10.5684 −0.535153
\(391\) −0.865790 + 30.7490i −0.0437849 + 1.55504i
\(392\) −31.9587 + 15.6247i −1.61416 + 0.789167i
\(393\) 14.3989 9.25359i 0.726327 0.466782i
\(394\) 6.69137 46.5395i 0.337106 2.34463i
\(395\) 14.6753 + 6.70198i 0.738394 + 0.337213i
\(396\) −4.00686 13.6461i −0.201353 0.685744i
\(397\) 20.7751 9.48766i 1.04267 0.476172i 0.180917 0.983498i \(-0.442093\pi\)
0.861754 + 0.507326i \(0.169366\pi\)
\(398\) −29.7117 34.2892i −1.48931 1.71876i
\(399\) 2.05654 0.798044i 0.102956 0.0399522i
\(400\) −49.3244 14.4830i −2.46622 0.724148i
\(401\) 0.624798 + 0.541390i 0.0312009 + 0.0270357i 0.670322 0.742071i \(-0.266156\pi\)
−0.639121 + 0.769106i \(0.720702\pi\)
\(402\) −11.5784 7.44098i −0.577477 0.371122i
\(403\) −7.80726 5.01742i −0.388907 0.249936i
\(404\) −18.0289 15.6222i −0.896972 0.777231i
\(405\) −3.92324 1.15197i −0.194948 0.0572418i
\(406\) −16.5725 42.7069i −0.822481 2.11951i
\(407\) 6.54409 + 7.55228i 0.324378 + 0.374353i
\(408\) −29.6508 + 13.5411i −1.46793 + 0.670383i
\(409\) −3.84709 13.1020i −0.190226 0.647852i −0.998274 0.0587340i \(-0.981294\pi\)
0.808047 0.589118i \(-0.200525\pi\)
\(410\) 37.5713 + 17.1582i 1.85551 + 0.847385i
\(411\) 2.12988 14.8136i 0.105059 0.730703i
\(412\) 0.998417 0.641643i 0.0491885 0.0316115i
\(413\) 4.82749 + 20.8652i 0.237545 + 1.02671i
\(414\) −11.6375 2.00902i −0.571950 0.0987379i
\(415\) −15.6663 −0.769028
\(416\) −0.362106 0.563448i −0.0177537 0.0276253i
\(417\) 2.24778 15.6337i 0.110075 0.765585i
\(418\) −6.53616 2.98496i −0.319694 0.145999i
\(419\) 11.7366 3.44617i 0.573369 0.168356i 0.0178217 0.999841i \(-0.494327\pi\)
0.555548 + 0.831485i \(0.312509\pi\)
\(420\) 34.8438 26.8067i 1.70020 1.30803i
\(421\) −3.63748 + 3.15189i −0.177280 + 0.153614i −0.738981 0.673726i \(-0.764693\pi\)
0.561701 + 0.827340i \(0.310147\pi\)
\(422\) −4.77030 33.1782i −0.232215 1.61509i
\(423\) 2.14673 7.31109i 0.104378 0.355477i
\(424\) −4.54641 3.93949i −0.220793 0.191318i
\(425\) 63.2342 + 40.6382i 3.06731 + 1.97124i
\(426\) −18.8449 + 29.3232i −0.913038 + 1.42071i
\(427\) 3.39566 6.41816i 0.164328 0.310597i
\(428\) −0.975507 + 3.32227i −0.0471529 + 0.160588i
\(429\) −3.63606 + 0.522787i −0.175551 + 0.0252404i
\(430\) 72.8975 63.1660i 3.51543 3.04614i
\(431\) −11.5961 + 5.29576i −0.558564 + 0.255088i −0.674633 0.738153i \(-0.735698\pi\)
0.116069 + 0.993241i \(0.462971\pi\)
\(432\) −1.23587 4.20897i −0.0594606 0.202504i
\(433\) 3.90460 8.54988i 0.187643 0.410881i −0.792307 0.610122i \(-0.791120\pi\)
0.979951 + 0.199241i \(0.0638476\pi\)
\(434\) 57.3986 4.86555i 2.75522 0.233554i
\(435\) 15.5435 + 24.1862i 0.745255 + 1.15964i
\(436\) 30.2415i 1.44830i
\(437\) −3.09446 + 2.53245i −0.148028 + 0.121143i
\(438\) 7.48985 0.357879
\(439\) 6.79334 + 10.5706i 0.324229 + 0.504510i 0.964657 0.263508i \(-0.0848796\pi\)
−0.640429 + 0.768018i \(0.721243\pi\)
\(440\) −71.9832 10.3496i −3.43166 0.493399i
\(441\) 0.184299 + 6.99757i 0.00877612 + 0.333218i
\(442\) 4.67072 + 15.9070i 0.222163 + 0.756619i
\(443\) −4.81421 10.5417i −0.228730 0.500849i 0.760116 0.649787i \(-0.225142\pi\)
−0.988847 + 0.148938i \(0.952415\pi\)
\(444\) 7.59869 + 8.76936i 0.360618 + 0.416175i
\(445\) −2.82053 19.6172i −0.133706 0.929946i
\(446\) 6.94698 23.6592i 0.328949 1.12030i
\(447\) 4.34580 5.01533i 0.205549 0.237217i
\(448\) −17.9395 6.42333i −0.847560 0.303474i
\(449\) 22.9051 + 14.7202i 1.08096 + 0.694690i 0.954779 0.297318i \(-0.0960920\pi\)
0.126180 + 0.992007i \(0.459728\pi\)
\(450\) −18.8976 + 21.8090i −0.890840 + 1.02808i
\(451\) 13.7752 + 4.04475i 0.648647 + 0.190460i
\(452\) 60.0758 8.63759i 2.82573 0.406278i
\(453\) −10.0791 + 8.73356i −0.473556 + 0.410338i
\(454\) −17.7584 38.8854i −0.833441 1.82498i
\(455\) −5.57262 9.89357i −0.261249 0.463817i
\(456\) −3.85429 1.76019i −0.180494 0.0824286i
\(457\) −8.52291 1.22541i −0.398685 0.0573223i −0.0599437 0.998202i \(-0.519092\pi\)
−0.338741 + 0.940879i \(0.610001\pi\)
\(458\) 17.9288 11.5221i 0.837757 0.538394i
\(459\) 6.41415i 0.299387i
\(460\) −44.9527 + 65.7992i −2.09593 + 3.06790i
\(461\) 30.1359i 1.40357i 0.712390 + 0.701784i \(0.247613\pi\)
−0.712390 + 0.701784i \(0.752387\pi\)
\(462\) 15.9093 16.3338i 0.740166 0.759917i
\(463\) −1.29438 + 9.00265i −0.0601552 + 0.418388i 0.937385 + 0.348294i \(0.113239\pi\)
−0.997540 + 0.0700941i \(0.977670\pi\)
\(464\) −12.8131 + 28.0567i −0.594832 + 1.30250i
\(465\) −34.6882 + 10.1854i −1.60862 + 0.472335i
\(466\) −20.1519 44.1264i −0.933517 2.04412i
\(467\) −6.64382 7.66738i −0.307439 0.354804i 0.580914 0.813965i \(-0.302695\pi\)
−0.888353 + 0.459161i \(0.848150\pi\)
\(468\) −4.22203 + 0.607036i −0.195163 + 0.0280603i
\(469\) 0.860659 14.7626i 0.0397415 0.681672i
\(470\) −57.9820 50.2417i −2.67451 2.31747i
\(471\) 0.128366 0.199741i 0.00591478 0.00920358i
\(472\) 22.2401 34.6063i 1.02368 1.59288i
\(473\) 21.9557 25.3382i 1.00952 1.16505i
\(474\) 9.32246 + 2.73732i 0.428195 + 0.125729i
\(475\) 1.39054 + 9.67140i 0.0638022 + 0.443754i
\(476\) −55.7472 40.5977i −2.55517 1.86079i
\(477\) −1.07677 + 0.491746i −0.0493021 + 0.0225155i
\(478\) 28.7127 8.43082i 1.31329 0.385617i
\(479\) −8.48472 + 18.5789i −0.387677 + 0.848894i 0.610696 + 0.791865i \(0.290890\pi\)
−0.998373 + 0.0570285i \(0.981837\pi\)
\(480\) −2.58257 0.371317i −0.117877 0.0169482i
\(481\) 2.52130 1.62034i 0.114961 0.0738811i
\(482\) 31.1806 1.42024
\(483\) −4.25558 11.9537i −0.193636 0.543910i
\(484\) −5.07303 −0.230592
\(485\) −12.2339 + 7.86227i −0.555514 + 0.357007i
\(486\) −2.43741 0.350446i −0.110563 0.0158966i
\(487\) 4.24368 9.29236i 0.192299 0.421077i −0.788782 0.614673i \(-0.789288\pi\)
0.981081 + 0.193596i \(0.0620152\pi\)
\(488\) −13.3822 + 3.92935i −0.605782 + 0.177874i
\(489\) −3.48383 + 1.59101i −0.157544 + 0.0719481i
\(490\) 64.8605 + 27.5808i 2.93010 + 1.24597i
\(491\) 0.869824 + 6.04976i 0.0392546 + 0.273022i 0.999990 0.00444402i \(-0.00141458\pi\)
−0.960736 + 0.277466i \(0.910505\pi\)
\(492\) 15.9951 + 4.69658i 0.721114 + 0.211738i
\(493\) 29.5342 34.0843i 1.33015 1.53508i
\(494\) −1.16510 + 1.81293i −0.0524202 + 0.0815675i
\(495\) −7.73662 + 12.0384i −0.347735 + 0.541086i
\(496\) −29.3122 25.3991i −1.31616 1.14046i
\(497\) −37.3874 2.17969i −1.67706 0.0977725i
\(498\) −9.33880 + 1.34272i −0.418482 + 0.0601686i
\(499\) 10.0152 + 11.5582i 0.448343 + 0.517416i 0.934262 0.356589i \(-0.116060\pi\)
−0.485918 + 0.874004i \(0.661515\pi\)
\(500\) 46.3779 + 101.553i 2.07408 + 4.54160i
\(501\) 21.5788 6.33612i 0.964072 0.283077i
\(502\) −17.5960 + 38.5298i −0.785346 + 1.71967i
\(503\) −4.88488 + 33.9751i −0.217806 + 1.51487i 0.528307 + 0.849054i \(0.322827\pi\)
−0.746113 + 0.665820i \(0.768082\pi\)
\(504\) 9.38149 9.63183i 0.417885 0.429036i
\(505\) 24.0031i 1.06812i
\(506\) −18.2208 + 37.0977i −0.810013 + 1.64919i
\(507\) 11.8983i 0.528421i
\(508\) −19.9765 + 12.8381i −0.886312 + 0.569598i
\(509\) 5.46892 + 0.786312i 0.242406 + 0.0348527i 0.262447 0.964946i \(-0.415471\pi\)
−0.0200410 + 0.999799i \(0.506380\pi\)
\(510\) 58.7462 + 26.8285i 2.60133 + 1.18799i
\(511\) 3.94932 + 7.01157i 0.174708 + 0.310174i
\(512\) 17.3588 + 38.0104i 0.767157 + 1.67984i
\(513\) −0.630122 + 0.546004i −0.0278206 + 0.0241066i
\(514\) 6.79373 0.976791i 0.299659 0.0430844i
\(515\) −1.14578 0.336432i −0.0504891 0.0148249i
\(516\) 25.4940 29.4216i 1.12231 1.29521i
\(517\) −22.4340 14.4174i −0.986645 0.634078i
\(518\) −6.27102 + 17.5141i −0.275533 + 0.769525i
\(519\) 4.01783 4.63682i 0.176363 0.203534i
\(520\) −6.14481 + 20.9273i −0.269468 + 0.917722i
\(521\) −1.11772 7.77390i −0.0489681 0.340581i −0.999547 0.0300976i \(-0.990418\pi\)
0.950579 0.310483i \(-0.100491\pi\)
\(522\) 11.3385 + 13.0854i 0.496275 + 0.572731i
\(523\) −1.85402 4.05974i −0.0810707 0.177520i 0.864756 0.502193i \(-0.167473\pi\)
−0.945826 + 0.324673i \(0.894746\pi\)
\(524\) −19.5960 66.7378i −0.856055 2.91546i
\(525\) −30.3808 6.19120i −1.32593 0.270206i
\(526\) −31.4913 4.52776i −1.37309 0.197420i
\(527\) 30.6608 + 47.7092i 1.33561 + 2.07825i
\(528\) −15.3523 −0.668123
\(529\) 14.0599 + 18.2022i 0.611298 + 0.791400i
\(530\) 11.9188i 0.517721i
\(531\) −4.37628 6.80962i −0.189914 0.295513i
\(532\) −0.757181 8.93243i −0.0328280 0.387270i
\(533\) 1.78869 3.91667i 0.0774765 0.169650i
\(534\) −3.36268 11.4522i −0.145517 0.495587i
\(535\) 3.16909 1.44727i 0.137012 0.0625711i
\(536\) −21.4664 + 18.6008i −0.927208 + 0.803430i
\(537\) 0.268744 0.0386395i 0.0115972 0.00166742i
\(538\) 2.62829 8.95114i 0.113314 0.385911i
\(539\) 23.6796 + 6.28072i 1.01995 + 0.270530i
\(540\) −8.98341 + 13.9785i −0.386584 + 0.601537i
\(541\) 4.85765 + 3.12182i 0.208847 + 0.134218i 0.640883 0.767639i \(-0.278568\pi\)
−0.432036 + 0.901856i \(0.642205\pi\)
\(542\) −35.7693 30.9942i −1.53642 1.33132i
\(543\) 2.22013 7.56108i 0.0952751 0.324477i
\(544\) 0.582479 + 4.05123i 0.0249736 + 0.173695i
\(545\) −22.9962 + 19.9263i −0.985048 + 0.853549i
\(546\) −4.16983 5.42001i −0.178452 0.231955i
\(547\) −38.2630 + 11.2350i −1.63601 + 0.480375i −0.965256 0.261307i \(-0.915846\pi\)
−0.670751 + 0.741682i \(0.734028\pi\)
\(548\) −55.3222 25.2648i −2.36325 1.07926i
\(549\) −0.390573 + 2.71650i −0.0166693 + 0.115937i
\(550\) 54.6015 + 84.9616i 2.32822 + 3.62278i
\(551\) 5.86251 0.249751
\(552\) −10.7446 + 21.8760i −0.457319 + 0.931106i
\(553\) 2.35311 + 10.1705i 0.100064 + 0.432495i
\(554\) −45.4327 + 29.1979i −1.93025 + 1.24050i
\(555\) 1.66156 11.5564i 0.0705291 0.490541i
\(556\) −58.3847 26.6634i −2.47606 1.13078i
\(557\) −9.75837 33.2340i −0.413475 1.40817i −0.858575 0.512687i \(-0.828650\pi\)
0.445100 0.895481i \(-0.353168\pi\)
\(558\) −19.8049 + 9.04460i −0.838409 + 0.382888i
\(559\) −6.58483 7.59930i −0.278509 0.321416i
\(560\) −17.1679 44.2413i −0.725478 1.86953i
\(561\) 21.5387 + 6.32434i 0.909366 + 0.267014i
\(562\) 33.4045 + 28.9451i 1.40908 + 1.22098i
\(563\) −12.9198 8.30304i −0.544504 0.349931i 0.239294 0.970947i \(-0.423084\pi\)
−0.783798 + 0.621016i \(0.786720\pi\)
\(564\) −26.0493 16.7409i −1.09687 0.704917i
\(565\) −46.1525 39.9914i −1.94165 1.68245i
\(566\) 27.3467 + 8.02972i 1.14947 + 0.337514i
\(567\) −0.957151 2.46655i −0.0401966 0.103585i
\(568\) 47.1080 + 54.3655i 1.97661 + 2.28112i
\(569\) 32.2808 14.7422i 1.35328 0.618023i 0.399006 0.916949i \(-0.369355\pi\)
0.954277 + 0.298925i \(0.0966282\pi\)
\(570\) 2.36515 + 8.05495i 0.0990651 + 0.337385i
\(571\) −41.9278 19.1478i −1.75462 0.801310i −0.987063 0.160334i \(-0.948743\pi\)
−0.767561 0.640976i \(-0.778530\pi\)
\(572\) −2.12449 + 14.7761i −0.0888292 + 0.617821i
\(573\) 0.853438 0.548472i 0.0356529 0.0229127i
\(574\) 6.02437 + 26.0383i 0.251452 + 1.08682i
\(575\) 55.8328 6.42945i 2.32839 0.268126i
\(576\) 7.20202 0.300084
\(577\) −0.312442 0.486170i −0.0130071 0.0202395i 0.834689 0.550721i \(-0.185647\pi\)
−0.847696 + 0.530482i \(0.822011\pi\)
\(578\) 8.46026 58.8424i 0.351900 2.44752i
\(579\) 6.40047 + 2.92300i 0.265994 + 0.121476i
\(580\) 112.101 32.9159i 4.65476 1.36676i
\(581\) −6.18122 8.03445i −0.256440 0.333325i
\(582\) −6.61889 + 5.73530i −0.274362 + 0.237736i
\(583\) 0.589587 + 4.10067i 0.0244182 + 0.169832i
\(584\) 4.35483 14.8312i 0.180204 0.613718i
\(585\) 3.24353 + 2.81053i 0.134103 + 0.116201i
\(586\) −17.8562 11.4755i −0.737633 0.474048i
\(587\) 19.0939 29.7107i 0.788090 1.22629i −0.181940 0.983310i \(-0.558238\pi\)
0.970031 0.242983i \(-0.0781258\pi\)
\(588\) 27.4956 + 7.29288i 1.13390 + 0.300753i
\(589\) −2.07692 + 7.07334i −0.0855779 + 0.291452i
\(590\) −80.6729 + 11.5990i −3.32125 + 0.477524i
\(591\) −14.4302 + 12.5038i −0.593578 + 0.514338i
\(592\) 11.3936 5.20329i 0.468274 0.213854i
\(593\) −11.1968 38.1326i −0.459795 1.56592i −0.784515 0.620109i \(-0.787088\pi\)
0.324720 0.945810i \(-0.394730\pi\)
\(594\) −3.58008 + 7.83927i −0.146892 + 0.321649i
\(595\) 5.86094 + 69.1412i 0.240275 + 2.83451i
\(596\) −14.5800 22.6870i −0.597222 0.929295i
\(597\) 18.4250i 0.754086i
\(598\) 10.2352 + 6.99247i 0.418547 + 0.285943i
\(599\) 21.7945 0.890500 0.445250 0.895406i \(-0.353115\pi\)
0.445250 + 0.895406i \(0.353115\pi\)
\(600\) 32.1978 + 50.1008i 1.31447 + 2.04536i
\(601\) −32.7194 4.70434i −1.33465 0.191894i −0.562218 0.826989i \(-0.690052\pi\)
−0.772434 + 0.635095i \(0.780961\pi\)
\(602\) 61.1567 + 12.4629i 2.49256 + 0.507951i
\(603\) 1.57466 + 5.36280i 0.0641251 + 0.218390i
\(604\) 22.5140 + 49.2989i 0.916083 + 2.00594i
\(605\) 3.34265 + 3.85762i 0.135898 + 0.156835i
\(606\) 2.05724 + 14.3084i 0.0835696 + 0.581239i
\(607\) 3.23837 11.0289i 0.131441 0.447648i −0.867301 0.497784i \(-0.834147\pi\)
0.998742 + 0.0501361i \(0.0159655\pi\)
\(608\) −0.348407 + 0.402083i −0.0141298 + 0.0163066i
\(609\) −6.27109 + 17.5143i −0.254117 + 0.709714i
\(610\) 23.2463 + 14.9395i 0.941216 + 0.604882i
\(611\) −5.23751 + 6.04441i −0.211887 + 0.244531i
\(612\) 25.0098 + 7.34354i 1.01096 + 0.296845i
\(613\) 12.1452 1.74621i 0.490539 0.0705288i 0.107393 0.994217i \(-0.465750\pi\)
0.383146 + 0.923688i \(0.374841\pi\)
\(614\) −9.77072 + 8.46638i −0.394314 + 0.341675i
\(615\) −6.96789 15.2576i −0.280973 0.615244i
\(616\) −23.0936 41.0000i −0.930466 1.65194i
\(617\) 35.2783 + 16.1110i 1.42025 + 0.648606i 0.969734 0.244162i \(-0.0785130\pi\)
0.450515 + 0.892769i \(0.351240\pi\)
\(618\) −0.711843 0.102348i −0.0286345 0.00411702i
\(619\) 0.160283 0.103007i 0.00644230 0.00414022i −0.537416 0.843317i \(-0.680599\pi\)
0.543858 + 0.839177i \(0.316963\pi\)
\(620\) 146.916i 5.90027i
\(621\) 3.03735 + 3.71141i 0.121884 + 0.148934i
\(622\) 40.2854i 1.61530i
\(623\) 8.94783 9.18659i 0.358487 0.368053i
\(624\) −0.655270 + 4.55750i −0.0262318 + 0.182446i
\(625\) 22.3234 48.8814i 0.892936 1.95526i
\(626\) −34.8718 + 10.2393i −1.39376 + 0.409244i
\(627\) 1.21218 + 2.65431i 0.0484099 + 0.106003i
\(628\) −0.631856 0.729200i −0.0252138 0.0290983i
\(629\) −18.1283 + 2.60646i −0.722823 + 0.103926i
\(630\) −26.5942 1.55044i −1.05954 0.0617711i
\(631\) −32.8881 28.4977i −1.30925 1.13447i −0.981864 0.189584i \(-0.939286\pi\)
−0.327388 0.944890i \(-0.606169\pi\)
\(632\) 10.8407 16.8685i 0.431221 0.670993i
\(633\) −7.35925 + 11.4512i −0.292504 + 0.455145i
\(634\) 23.6179 27.2565i 0.937987 1.08250i
\(635\) 22.9249 + 6.73137i 0.909749 + 0.267126i
\(636\) 0.684602 + 4.76151i 0.0271462 + 0.188806i
\(637\) 2.87520 6.76148i 0.113920 0.267899i
\(638\) 55.1205 25.1727i 2.18224 0.996596i
\(639\) 13.5817 3.98796i 0.537285 0.157761i
\(640\) 32.2916 70.7088i 1.27644 2.79501i
\(641\) −8.58720 1.23465i −0.339174 0.0487658i −0.0293764 0.999568i \(-0.509352\pi\)
−0.309797 + 0.950803i \(0.600261\pi\)
\(642\) 1.76507 1.13434i 0.0696619 0.0447690i
\(643\) −14.0851 −0.555463 −0.277731 0.960659i \(-0.589583\pi\)
−0.277731 + 0.960659i \(0.589583\pi\)
\(644\) −51.4814 + 2.90747i −2.02865 + 0.114571i
\(645\) −39.1709 −1.54235
\(646\) 11.0786 7.11977i 0.435881 0.280124i
\(647\) 18.1653 + 2.61178i 0.714153 + 0.102680i 0.489808 0.871830i \(-0.337067\pi\)
0.224345 + 0.974510i \(0.427976\pi\)
\(648\) −2.11112 + 4.62272i −0.0829328 + 0.181598i
\(649\) −27.1817 + 7.98127i −1.06698 + 0.313292i
\(650\) 27.5523 12.5827i 1.08069 0.493536i
\(651\) −18.9100 13.7711i −0.741140 0.539732i
\(652\) 2.21498 + 15.4056i 0.0867455 + 0.603328i
\(653\) −19.2402 5.64944i −0.752929 0.221080i −0.117323 0.993094i \(-0.537431\pi\)
−0.635606 + 0.772014i \(0.719250\pi\)
\(654\) −12.0004 + 13.8492i −0.469251 + 0.541545i
\(655\) −37.8368 + 58.8751i −1.47840 + 2.30044i
\(656\) 9.72879 15.1383i 0.379846 0.591051i
\(657\) −2.29869 1.99182i −0.0896804 0.0777085i
\(658\) 2.88930 49.5591i 0.112637 1.93202i
\(659\) −16.7304 + 2.40547i −0.651724 + 0.0937038i −0.460244 0.887793i \(-0.652238\pi\)
−0.191480 + 0.981496i \(0.561329\pi\)
\(660\) 38.0820 + 43.9490i 1.48234 + 1.71071i
\(661\) −4.31369 9.44566i −0.167783 0.367393i 0.806999 0.590553i \(-0.201090\pi\)
−0.974782 + 0.223159i \(0.928363\pi\)
\(662\) −61.8378 + 18.1572i −2.40339 + 0.705700i
\(663\) 2.79677 6.12408i 0.108618 0.237840i
\(664\) −2.77105 + 19.2731i −0.107538 + 0.747941i
\(665\) −6.29347 + 6.46141i −0.244050 + 0.250563i
\(666\) 7.03125i 0.272455i
\(667\) 0.949096 33.7077i 0.0367492 1.30517i
\(668\) 91.3935i 3.53612i
\(669\) −8.42393 + 5.41373i −0.325688 + 0.209307i
\(670\) 55.7034 + 8.00893i 2.15201 + 0.309412i
\(671\) 8.73689 + 3.99001i 0.337284 + 0.154032i
\(672\) −0.828536 1.47097i −0.0319615 0.0567440i
\(673\) −8.49743 18.6068i −0.327552 0.717239i 0.672180 0.740388i \(-0.265358\pi\)
−0.999732 + 0.0231489i \(0.992631\pi\)
\(674\) 48.8907 42.3640i 1.88320 1.63180i
\(675\) 11.5996 1.66777i 0.446468 0.0641925i
\(676\) −46.3932 13.6223i −1.78436 0.523934i
\(677\) 21.6679 25.0061i 0.832765 0.961063i −0.166924 0.985970i \(-0.553384\pi\)
0.999690 + 0.0249071i \(0.00792901\pi\)
\(678\) −30.9394 19.8835i −1.18822 0.763623i
\(679\) −8.85913 3.17206i −0.339982 0.121733i
\(680\) 87.2818 100.729i 3.34710 3.86276i
\(681\) −4.89088 + 16.6568i −0.187419 + 0.638290i
\(682\) 10.8442 + 75.4228i 0.415245 + 2.88809i
\(683\) −30.3978 35.0810i −1.16314 1.34234i −0.928977 0.370139i \(-0.879310\pi\)
−0.234164 0.972197i \(-0.575235\pi\)
\(684\) 1.40753 + 3.08206i 0.0538182 + 0.117845i
\(685\) 17.2403 + 58.7152i 0.658719 + 2.24339i
\(686\) 11.4463 + 44.1458i 0.437021 + 1.68550i
\(687\) −8.56662 1.23169i −0.326837 0.0469921i
\(688\) −22.7197 35.3526i −0.866181 1.34780i
\(689\) 1.24250 0.0473353
\(690\) 46.6965 12.2949i 1.77770 0.468057i
\(691\) 13.7105i 0.521574i −0.965396 0.260787i \(-0.916018\pi\)
0.965396 0.260787i \(-0.0839820\pi\)
\(692\) −13.4797 20.9748i −0.512421 0.797342i
\(693\) −9.22642 + 0.782102i −0.350483 + 0.0297096i
\(694\) 24.0100 52.5745i 0.911406 1.99570i
\(695\) 18.1947 + 61.9655i 0.690165 + 2.35048i
\(696\) 32.5038 14.8440i 1.23205 0.562660i
\(697\) −19.8853 + 17.2308i −0.753211 + 0.652661i
\(698\) 11.6048 1.66852i 0.439250 0.0631546i
\(699\) −5.55008 + 18.9018i −0.209923 + 0.714933i
\(700\) −58.9233 + 111.371i −2.22709 + 4.20943i
\(701\) 17.7961 27.6912i 0.672148 1.04588i −0.322895 0.946435i \(-0.604656\pi\)
0.995043 0.0994479i \(-0.0317077\pi\)
\(702\) 2.17437 + 1.39738i 0.0820664 + 0.0527409i
\(703\) −1.79923 1.55904i −0.0678591 0.0588002i
\(704\) 7.10117 24.1844i 0.267635 0.911483i
\(705\) 4.43398 + 30.8390i 0.166993 + 1.16146i
\(706\) −66.2597 + 57.4144i −2.49372 + 2.16082i
\(707\) −12.3100 + 9.47054i −0.462964 + 0.356176i
\(708\) −31.5622 + 9.26749i −1.18618 + 0.348294i
\(709\) 5.51109 + 2.51683i 0.206973 + 0.0945215i 0.516204 0.856465i \(-0.327344\pi\)
−0.309231 + 0.950987i \(0.600072\pi\)
\(710\) 20.2833 141.073i 0.761218 5.29439i
\(711\) −2.13318 3.31929i −0.0800003 0.124483i
\(712\) −24.6325 −0.923143
\(713\) 40.3333 + 13.0868i 1.51049 + 0.490104i
\(714\) 9.41966 + 40.7133i 0.352522 + 1.52366i
\(715\) 12.6359 8.12058i 0.472555 0.303692i
\(716\) 0.157022 1.09211i 0.00586819 0.0408142i
\(717\) −11.0542 5.04828i −0.412827 0.188532i
\(718\) −23.8322 81.1649i −0.889408 3.02905i
\(719\) −39.7983 + 18.1753i −1.48423 + 0.677824i −0.982339 0.187109i \(-0.940088\pi\)
−0.501888 + 0.864933i \(0.667361\pi\)
\(720\) 11.7459 + 13.5555i 0.437744 + 0.505184i
\(721\) −0.279535 0.720354i −0.0104104 0.0268274i
\(722\) −43.2493 12.6991i −1.60957 0.472613i
\(723\) −9.56953 8.29204i −0.355895 0.308384i
\(724\) −26.9400 17.3133i −1.00122 0.643443i
\(725\) −69.3186 44.5484i −2.57443 1.65448i
\(726\) 2.32321 + 2.01307i 0.0862222 + 0.0747120i
\(727\) −0.824652 0.242140i −0.0305847 0.00898047i 0.266404 0.963861i \(-0.414164\pi\)
−0.296989 + 0.954881i \(0.595983\pi\)
\(728\) −13.1570 + 5.10562i −0.487631 + 0.189227i
\(729\) 0.654861 + 0.755750i 0.0242541 + 0.0279907i
\(730\) −27.8575 + 12.7221i −1.03105 + 0.470866i
\(731\) 17.3116 + 58.9578i 0.640291 + 2.18063i
\(732\) 10.1449 + 4.63301i 0.374965 + 0.171241i
\(733\) −2.66335 + 18.5240i −0.0983732 + 0.684201i 0.879637 + 0.475645i \(0.157785\pi\)
−0.978011 + 0.208556i \(0.933124\pi\)
\(734\) 44.0543 28.3120i 1.62607 1.04501i
\(735\) −12.5714 25.7135i −0.463703 0.948457i
\(736\) 2.25545 + 2.06833i 0.0831370 + 0.0762396i
\(737\) 19.5609 0.720535
\(738\) −5.46130 8.49795i −0.201033 0.312814i
\(739\) 0.635306 4.41865i 0.0233701 0.162543i −0.974794 0.223106i \(-0.928381\pi\)
0.998164 + 0.0605630i \(0.0192896\pi\)
\(740\) −43.1578 19.7095i −1.58651 0.724536i
\(741\) 0.839700 0.246558i 0.0308472 0.00905754i
\(742\) −6.11257 + 4.70264i −0.224399 + 0.172639i
\(743\) 2.86049 2.47863i 0.104941 0.0909320i −0.600810 0.799392i \(-0.705155\pi\)
0.705751 + 0.708460i \(0.250610\pi\)
\(744\) 6.39467 + 44.4759i 0.234440 + 1.63056i
\(745\) −7.64472 + 26.0355i −0.280081 + 0.953868i
\(746\) 58.9489 + 51.0795i 2.15827 + 1.87015i
\(747\) 3.22322 + 2.07144i 0.117931 + 0.0757899i
\(748\) 49.3192 76.7421i 1.80329 2.80597i
\(749\) 1.99261 + 1.05423i 0.0728085 + 0.0385209i
\(750\) 19.0594 64.9102i 0.695949 2.37018i
\(751\) 31.8637 4.58131i 1.16272 0.167175i 0.466181 0.884689i \(-0.345630\pi\)
0.696543 + 0.717515i \(0.254720\pi\)
\(752\) −25.2611 + 21.8889i −0.921178 + 0.798205i
\(753\) 15.6468 7.14565i 0.570201 0.260402i
\(754\) −5.12013 17.4376i −0.186464 0.635039i
\(755\) 22.6531 49.6034i 0.824431 1.80525i
\(756\) −10.7133 + 0.908141i −0.389639 + 0.0330288i
\(757\) 14.4593 + 22.4991i 0.525533 + 0.817745i 0.997974 0.0636172i \(-0.0202637\pi\)
−0.472442 + 0.881362i \(0.656627\pi\)
\(758\) 30.7275i 1.11607i
\(759\) 15.4577 6.53997i 0.561080 0.237386i
\(760\) 17.3253 0.628456
\(761\) 14.5403 + 22.6252i 0.527087 + 0.820163i 0.998078 0.0619748i \(-0.0197399\pi\)
−0.470991 + 0.882138i \(0.656103\pi\)
\(762\) 14.2427 + 2.04779i 0.515957 + 0.0741834i
\(763\) −19.2925 3.93154i −0.698434 0.142331i
\(764\) −1.16148 3.95563i −0.0420208 0.143110i
\(765\) −10.8949 23.8566i −0.393908 0.862537i
\(766\) −35.5090 40.9795i −1.28299 1.48065i
\(767\) 1.20916 + 8.40986i 0.0436601 + 0.303663i
\(768\) 9.13093 31.0971i 0.329484 1.12212i
\(769\) 20.0116 23.0946i 0.721636 0.832813i −0.269866 0.962898i \(-0.586980\pi\)
0.991503 + 0.130085i \(0.0415250\pi\)
\(770\) −31.4282 + 87.7746i −1.13259 + 3.16318i
\(771\) −2.34481 1.50692i −0.0844462 0.0542703i
\(772\) 18.7251 21.6099i 0.673930 0.777757i
\(773\) 26.6922 + 7.83754i 0.960052 + 0.281897i 0.723966 0.689835i</