Properties

Label 483.2.r.a.412.4
Level $483$
Weight $2$
Character 483.412
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 412.4
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.4

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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 −0.998384 0.0568231i \(-0.981903\pi\)
−0.466432 0.884557i \(-0.654461\pi\)
\(3\) 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 −0.763151 0.646220i \(-0.776349\pi\)
−0.991377 + 0.131044i \(0.958167\pi\)
\(6\) −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 0.999881 0.0154141i \(-0.00490665\pi\)
−0.429387 + 0.903121i \(0.641270\pi\)
\(12\) 2.19704 + 3.41866i 0.634230 + 0.986881i
\(13\) −0.793257 + 0.687361i −0.220010 + 0.190640i −0.757891 0.652381i \(-0.773770\pi\)
0.537881 + 0.843021i \(0.319225\pi\)
\(14\) 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 −0.248558 0.968617i \(-0.579957\pi\)
0.894803 0.446462i \(-0.147316\pi\)
\(18\) −2.36272 0.693758i −0.556899 0.163520i
\(19\) −0.346361 0.758424i −0.0794606 0.173994i 0.865732 0.500508i \(-0.166853\pi\)
−0.945193 + 0.326514i \(0.894126\pi\)
\(20\) −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 0.417841 + 0.908520i \(0.362787\pi\)
−0.960241 + 0.279172i \(0.909940\pi\)
\(30\) 7.60944 + 6.59362i 1.38929 + 1.20382i
\(31\) 8.75171 + 1.25831i 1.57185 + 0.225998i 0.872441 0.488720i \(-0.162536\pi\)
0.699412 + 0.714718i \(0.253445\pi\)
\(32\) 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 0.866565 0.499064i \(-0.166323\pi\)
−0.998815 + 0.0486606i \(0.984505\pi\)
\(38\) −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 −0.818688 0.574239i \(-0.805298\pi\)
0.999181 0.0404645i \(-0.0128838\pi\)
\(42\) 6.38388 1.30095i 0.985054 0.200741i
\(43\) 9.48236 1.36336i 1.44605 0.207910i 0.625829 0.779961i \(-0.284761\pi\)
0.820218 + 0.572050i \(0.193852\pi\)
\(44\) −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 \(0.187560\pi\)
−0.831365 + 0.555727i \(0.812440\pi\)
\(48\) −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 0.591250 0.806488i \(-0.298634\pi\)
−0.714135 + 0.700008i \(0.753180\pi\)
\(54\) −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 −0.954794 0.297270i \(-0.903924\pi\)
0.158363 + 0.987381i \(0.449379\pi\)
\(60\) −4.68133 15.9431i −0.604357 2.05825i
\(61\) 0.390573 2.71650i 0.0500078 0.347812i −0.949421 0.314007i \(-0.898328\pi\)
0.999428 0.0338048i \(-0.0107625\pi\)
\(62\) −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 −0.606122 0.795372i \(-0.707276\pi\)
0.975288 + 0.220939i \(0.0709121\pi\)
\(68\) 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 0.999997 0.00240311i \(-0.000764933\pi\)
0.413228 + 0.910628i \(0.364401\pi\)
\(72\) −0.723239 5.03024i −0.0852346 0.592819i
\(73\) −2.76674 + 1.26353i −0.323822 + 0.147885i −0.570692 0.821164i \(-0.693325\pi\)
0.246870 + 0.969049i \(0.420598\pi\)
\(74\) −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 −0.806272 0.591545i \(-0.798518\pi\)
0.470780 + 0.882251i \(0.343973\pi\)
\(80\) 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 −0.0736732 0.997282i \(-0.523472\pi\)
0.477194 + 0.878798i \(0.341654\pi\)
\(84\) −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 −0.993163 0.116739i \(-0.962756\pi\)
0.920043 0.391817i \(-0.128153\pi\)
\(90\) 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 0.450347 0.892853i \(-0.351300\pi\)
−0.103857 + 0.994592i \(0.533118\pi\)
\(98\) −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 0.999942 + 0.0107808i \(0.00343170\pi\)
−0.835376 + 0.549679i \(0.814750\pi\)
\(102\) −11.9368 + 10.3433i −1.18192 + 1.02414i
\(103\) 0.245688 0.157894i 0.0242083 0.0155577i −0.528481 0.848945i \(-0.677238\pi\)
0.552689 + 0.833388i \(0.313602\pi\)
\(104\) 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 0.101428 0.994843i \(-0.467659\pi\)
−0.182960 + 0.983120i \(0.558568\pi\)
\(108\) 3.07119 + 2.66120i 0.295525 + 0.256074i
\(109\) 6.76924 + 3.09141i 0.648376 + 0.296103i 0.712325 0.701850i \(-0.247642\pi\)
−0.0639491 + 0.997953i \(0.520370\pi\)
\(110\) −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 −0.218910 0.975745i \(-0.570250\pi\)
0.978507 0.206211i \(-0.0661135\pi\)
\(114\) 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 −0.740257 0.672324i \(-0.765296\pi\)
0.304054 + 0.952655i \(0.401660\pi\)
\(128\) −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 0.999926 0.0121838i \(-0.00387832\pi\)
0.130245 + 0.991482i \(0.458424\pi\)
\(132\) −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 \(0.220782\pi\)
−0.768945 + 0.639315i \(0.779218\pi\)
\(138\) −11.8049 + 0.332387i −1.00490 + 0.0282947i
\(139\) 15.7945i 1.33967i 0.742511 + 0.669834i \(0.233635\pi\)
−0.742511 + 0.669834i \(0.766365\pi\)
\(140\) 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 0.956539 0.291605i \(-0.0941892\pi\)
−0.662614 + 0.748961i \(0.730553\pi\)
\(150\) −15.6015 24.2764i −1.27386 1.98216i
\(151\) −8.73356 10.0791i −0.710727 0.820223i 0.279433 0.960165i \(-0.409854\pi\)
−0.990160 + 0.139943i \(0.955308\pi\)
\(152\) −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 0.913527 0.406778i \(-0.133348\pi\)
−0.905655 + 0.424015i \(0.860620\pi\)
\(158\) 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 0.408343 0.912828i \(-0.366107\pi\)
−0.660706 + 0.750645i \(0.729743\pi\)
\(164\) 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 0.996229 0.0867648i \(-0.0276529\pi\)
0.586819 + 0.809718i \(0.300380\pi\)
\(168\) 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 0.944148 0.329523i \(-0.106888\pi\)
−0.691958 + 0.721938i \(0.743251\pi\)
\(174\) 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 0.291454 0.956585i \(-0.405861\pi\)
−0.271982 + 0.962302i \(0.587679\pi\)
\(180\) −6.90263 15.1146i −0.514491 1.12658i
\(181\) 1.12148 + 7.80008i 0.0833591 + 0.579775i 0.988100 + 0.153813i \(0.0491553\pi\)
−0.904741 + 0.425962i \(0.859936\pi\)
\(182\) −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 0.682158 0.731205i \(-0.261042\pi\)
−0.626681 + 0.779276i \(0.715587\pi\)
\(192\) 7.12871 + 1.02495i 0.514470 + 0.0739697i
\(193\) 6.75131 1.98236i 0.485970 0.142694i −0.0295640 0.999563i \(-0.509412\pi\)
0.515534 + 0.856869i \(0.327594\pi\)
\(194\) −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 −0.999421 0.0340171i \(-0.989170\pi\)
0.108562 0.994090i \(-0.465376\pi\)
\(198\) −2.42799 8.26898i −0.172550 0.587651i
\(199\) 2.62215 18.2375i 0.185880 1.29282i −0.656660 0.754186i \(-0.728031\pi\)
0.842540 0.538634i \(-0.181059\pi\)
\(200\) 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 −0.998245 0.0592120i \(-0.981141\pi\)
0.608962 0.793199i \(-0.291586\pi\)
\(212\) 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 0.363571 0.931567i \(-0.381558\pi\)
−0.870343 + 0.492446i \(0.836103\pi\)
\(224\) −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 −0.891041 0.453924i \(-0.850024\pi\)
0.727062 0.686572i \(-0.240885\pi\)
\(228\) 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 −0.847997 0.530001i \(-0.822192\pi\)
0.664329 0.747440i \(-0.268717\pi\)
\(234\) 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 −0.636175 0.771545i \(-0.719484\pi\)
−0.118056 + 0.993007i \(0.537666\pi\)
\(240\) 13.5555 11.7459i 0.875004 0.758195i
\(241\) −10.6522 + 6.84576i −0.686169 + 0.440974i −0.836722 0.547628i \(-0.815531\pi\)
0.150553 + 0.988602i \(0.451895\pi\)
\(242\) 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 0.910729 0.413006i \(-0.135521\pi\)
0.00264728 + 0.999996i \(0.499157\pi\)
\(252\) −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 −0.492919 0.870075i \(-0.664070\pi\)
0.334765 + 0.942301i \(0.391343\pi\)
\(258\) −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 −0.299617 0.954059i \(-0.596859\pi\)
0.901709 + 0.432344i \(0.142314\pi\)
\(264\) 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 0.563194 0.826325i \(-0.309572\pi\)
−0.737763 + 0.675060i \(0.764118\pi\)
\(270\) 9.15884 + 4.18270i 0.557389 + 0.254551i
\(271\) 5.41499 18.4418i 0.328937 1.12026i −0.614558 0.788872i \(-0.710666\pi\)
0.943495 0.331386i \(-0.107516\pi\)
\(272\) 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 0.659554 + 0.751657i \(0.270745\pi\)
−0.961229 + 0.275753i \(0.911073\pi\)
\(282\) 7.79460 17.0678i 0.464162 1.01637i
\(283\) −7.57951 + 8.74722i −0.450555 + 0.519968i −0.934901 0.354908i \(-0.884512\pi\)
0.484346 + 0.874877i \(0.339058\pi\)
\(284\) −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 −0.775732 0.631062i \(-0.782619\pi\)
0.984922 + 0.173001i \(0.0553465\pi\)
\(294\) −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 0.289007 0.957327i \(-0.406675\pi\)
0.00758949 + 0.999971i \(0.497584\pi\)
\(308\) −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 0.996053 0.0887594i \(-0.0282902\pi\)
−0.494514 + 0.869170i \(0.664654\pi\)
\(312\) 3.49314 + 4.03130i 0.197760 + 0.228228i
\(313\) 14.1613 4.15813i 0.800444 0.235031i 0.144169 0.989553i \(-0.453949\pi\)
0.656275 + 0.754522i \(0.272131\pi\)
\(314\) 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 −0.137843 0.990454i \(-0.544017\pi\)
−0.651441 + 0.758699i \(0.725835\pi\)
\(318\) 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 0.494416 0.869225i \(-0.335382\pi\)
0.885868 + 0.463937i \(0.153564\pi\)
\(332\) 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 −0.608836 0.793296i \(-0.708363\pi\)
−0.807671 + 0.589633i \(0.799272\pi\)
\(338\) 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 −0.110136 0.993916i \(-0.535129\pi\)
−0.949851 + 0.312704i \(0.898765\pi\)
\(348\) −28.2828 + 4.06646i −1.51612 + 0.217985i
\(349\) −4.33089 + 1.97785i −0.231827 + 0.105872i −0.527942 0.849280i \(-0.677036\pi\)
0.296115 + 0.955152i \(0.404309\pi\)
\(350\) 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 0.983366 0.181633i \(-0.0581382\pi\)
0.892361 + 0.451322i \(0.149047\pi\)
\(354\) 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 −0.660457 0.750864i \(-0.729637\pi\)
0.149664 0.988737i \(-0.452181\pi\)
\(360\) −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 0.318070 + 0.948067i \(0.396965\pi\)
−0.780141 + 0.625603i \(0.784853\pi\)
\(374\) −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 0.970147 0.242516i \(-0.0779727\pi\)
−0.623614 + 0.781732i \(0.714336\pi\)
\(380\) −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 −0.738260 0.674516i \(-0.764352\pi\)
0.898388 0.439202i \(-0.144739\pi\)
\(384\) −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 −0.840386 0.541988i \(-0.817672\pi\)
0.842119 + 0.539292i \(0.181308\pi\)
\(390\) −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 0.861754 0.507326i \(-0.169366\pi\)
0.180917 + 0.983498i \(0.442093\pi\)
\(398\) −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 −0.639121 0.769106i \(-0.720702\pi\)
0.670322 + 0.742071i \(0.266156\pi\)
\(402\) −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 0.808047 + 0.589118i \(0.200525\pi\)
−0.998274 + 0.0587340i \(0.981294\pi\)
\(410\) 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 0.555548 0.831485i \(-0.312509\pi\)
0.0178217 + 0.999841i \(0.494327\pi\)
\(420\) 34.8438 + 26.8067i 1.70020 + 1.30803i
\(421\) −3.63748 3.15189i −0.177280 0.153614i 0.561701 0.827340i \(-0.310147\pi\)
−0.738981 + 0.673726i \(0.764693\pi\)
\(422\) −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 0.116069 0.993241i \(-0.462971\pi\)
−0.674633 + 0.738153i \(0.735698\pi\)
\(432\) −1.23587 + 4.20897i −0.0594606 + 0.202504i
\(433\) 3.90460 + 8.54988i 0.187643 + 0.410881i 0.979951 0.199241i \(-0.0638476\pi\)
−0.792307 + 0.610122i \(0.791120\pi\)
\(434\) 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 −0.640429 0.768018i \(-0.721243\pi\)
0.964657 + 0.263508i \(0.0848796\pi\)
\(440\) −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 −0.988847 0.148938i \(-0.952415\pi\)
0.760116 + 0.649787i \(0.225142\pi\)
\(444\) 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 0.126180 0.992007i \(-0.459728\pi\)
0.954779 + 0.297318i \(0.0960920\pi\)
\(450\) −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 −0.338741 0.940879i \(-0.610001\pi\)
−0.0599437 + 0.998202i \(0.519092\pi\)
\(458\) 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 \(-0.752387\pi\)
0.712390 0.701784i \(-0.247613\pi\)
\(462\) 15.9093 + 16.3338i 0.740166 + 0.759917i
\(463\) −1.29438 9.00265i −0.0601552 0.418388i −0.997540 0.0700941i \(-0.977670\pi\)
0.937385 0.348294i \(-0.113239\pi\)
\(464\) −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 −0.888353 0.459161i \(-0.848150\pi\)
0.580914 + 0.813965i \(0.302695\pi\)
\(468\) −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 −0.998373 0.0570285i \(-0.981837\pi\)
0.610696 0.791865i \(-0.290890\pi\)
\(480\) −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 0.981081 0.193596i \(-0.0620152\pi\)
−0.788782 + 0.614673i \(0.789288\pi\)
\(488\) −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 −0.960736 0.277466i \(-0.910505\pi\)
0.999990 + 0.00444402i \(0.00141458\pi\)
\(492\) 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 −0.485918 0.874004i \(-0.661515\pi\)
0.934262 + 0.356589i \(0.116060\pi\)
\(500\) 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 −0.746113 0.665820i \(-0.768082\pi\)
0.528307 0.849054i \(-0.322827\pi\)
\(504\) 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 −0.0200410 0.999799i \(-0.506380\pi\)
0.262447 + 0.964946i \(0.415471\pi\)
\(510\) 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 0.950579 + 0.310483i \(0.100491\pi\)
−0.999547 + 0.0300976i \(0.990418\pi\)
\(522\) 11.3385 13.0854i 0.496275 0.572731i
\(523\) −1.85402 + 4.05974i −0.0810707 + 0.177520i −0.945826 0.324673i \(-0.894746\pi\)
0.864756 + 0.502193i \(0.167473\pi\)
\(524\) −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 −0.432036 0.901856i \(-0.642205\pi\)
0.640883 + 0.767639i \(0.278568\pi\)
\(542\) −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 −0.670751 0.741682i \(-0.734028\pi\)
−0.965256 + 0.261307i \(0.915846\pi\)
\(548\) −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 0.445100 + 0.895481i \(0.353168\pi\)
−0.858575 + 0.512687i \(0.828650\pi\)
\(558\) −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 −0.783798 0.621016i \(-0.786720\pi\)
0.239294 + 0.970947i \(0.423084\pi\)
\(564\) −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 0.954277 0.298925i \(-0.0966282\pi\)
0.399006 + 0.916949i \(0.369355\pi\)
\(570\) 2.36515 8.05495i 0.0990651 0.337385i
\(571\) −41.9278 + 19.1478i −1.75462 + 0.801310i −0.767561 + 0.640976i \(0.778530\pi\)
−0.987063 + 0.160334i \(0.948743\pi\)
\(572\) −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 −0.847696 0.530482i \(-0.822011\pi\)
0.834689 + 0.550721i \(0.185647\pi\)
\(578\) 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 0.970031 + 0.242983i \(0.0781258\pi\)
−0.181940 + 0.983310i \(0.558238\pi\)
\(588\) 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 0.324720 + 0.945810i \(0.394730\pi\)
−0.784515 + 0.620109i \(0.787088\pi\)
\(594\) −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 −0.772434 0.635095i \(-0.780961\pi\)
−0.562218 + 0.826989i \(0.690052\pi\)
\(602\) 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 0.998742 0.0501361i \(-0.0159655\pi\)
−0.867301 + 0.497784i \(0.834147\pi\)
\(608\) −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 0.383146 0.923688i \(-0.374841\pi\)
0.107393 + 0.994217i \(0.465750\pi\)
\(614\) −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 0.450515 0.892769i \(-0.351240\pi\)
0.969734 + 0.244162i \(0.0785130\pi\)
\(618\) −0.711843 + 0.102348i −0.0286345 + 0.00411702i
\(619\) 0.160283 + 0.103007i 0.00644230 + 0.00414022i 0.543858 0.839177i \(-0.316963\pi\)
−0.537416 + 0.843317i \(0.680599\pi\)
\(620\) 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 −0.327388 + 0.944890i \(0.606169\pi\)
−0.981864 + 0.189584i \(0.939286\pi\)
\(632\) 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 −0.309797 0.950803i \(-0.600261\pi\)
−0.0293764 + 0.999568i \(0.509352\pi\)
\(642\) 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 0.224345 0.974510i \(-0.427976\pi\)
0.489808 + 0.871830i \(0.337067\pi\)
\(648\) −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 −0.635606 0.772014i \(-0.719250\pi\)
−0.117323 + 0.993094i \(0.537431\pi\)
\(654\) −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 −0.191480 0.981496i \(-0.561329\pi\)
−0.460244 + 0.887793i \(0.652238\pi\)
\(660\) 38.0820 43.9490i 1.48234 1.71071i
\(661\) −4.31369 + 9.44566i −0.167783 + 0.367393i −0.974782 0.223159i \(-0.928363\pi\)
0.806999 + 0.590553i \(0.201090\pi\)
\(662\) −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 −0.999732 0.0231489i \(-0.992631\pi\)
0.672180 + 0.740388i \(0.265358\pi\)
\(674\) 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 0.999690 0.0249071i \(-0.00792901\pi\)
−0.166924 + 0.985970i \(0.553384\pi\)
\(678\) −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 −0.234164 + 0.972197i \(0.575235\pi\)
−0.928977 + 0.370139i \(0.879310\pi\)
\(684\) 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 \(0.0839820\pi\)
−0.965396 + 0.260787i \(0.916018\pi\)
\(692\) −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 0.995043 + 0.0994479i \(0.0317077\pi\)
−0.322895 + 0.946435i \(0.604656\pi\)
\(702\) 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 −0.309231 0.950987i \(-0.600072\pi\)
0.516204 + 0.856465i \(0.327344\pi\)
\(710\) 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 −0.501888 0.864933i \(-0.667361\pi\)
−0.982339 + 0.187109i \(0.940088\pi\)
\(720\) 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 −0.296989 0.954881i \(-0.595983\pi\)
0.266404 + 0.963861i \(0.414164\pi\)
\(728\) −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 −0.978011 0.208556i \(-0.933124\pi\)
0.879637 0.475645i \(-0.157785\pi\)
\(734\) 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 0.998164 0.0605630i \(-0.0192896\pi\)
−0.974794 + 0.223106i \(0.928381\pi\)
\(740\) −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 0.705751 0.708460i \(-0.250610\pi\)
−0.600810 + 0.799392i \(0.705155\pi\)
\(744\) 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 0.696543 0.717515i \(-0.254720\pi\)
0.466181 + 0.884689i \(0.345630\pi\)
\(752\) −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 −0.472442 0.881362i \(-0.656627\pi\)
0.997974 + 0.0636172i \(0.0202637\pi\)
\(758\) 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 −0.470991 0.882138i \(-0.656103\pi\)
0.998078 + 0.0619748i \(0.0197399\pi\)
\(762\) 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 0.991503 0.130085i \(-0.0415250\pi\)
−0.269866 + 0.962898i \(0.586980\pi\)
\(770\) −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 0.236086