Properties

Label 384.2.v.a.229.19
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.19
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.272887 - 1.38764i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-1.85107 - 0.757334i) q^{4} +(1.21818 + 1.48436i) q^{5} +(0.413462 + 1.35242i) q^{6} +(1.92661 - 1.28732i) q^{7} +(-1.55604 + 2.36194i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(0.272887 - 1.38764i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-1.85107 - 0.757334i) q^{4} +(1.21818 + 1.48436i) q^{5} +(0.413462 + 1.35242i) q^{6} +(1.92661 - 1.28732i) q^{7} +(-1.55604 + 2.36194i) q^{8} +(0.555570 - 0.831470i) q^{9} +(2.39218 - 1.28533i) q^{10} +(0.740315 - 0.224572i) q^{11} +(1.98950 - 0.204677i) q^{12} +(1.85681 + 1.52385i) q^{13} +(-1.26058 - 3.02472i) q^{14} +(-1.77407 - 0.734842i) q^{15} +(2.85289 + 2.80375i) q^{16} +(5.13980 - 2.12898i) q^{17} +(-1.00217 - 0.997826i) q^{18} +(-0.262953 - 2.66981i) q^{19} +(-1.13078 - 3.67022i) q^{20} +(-1.09228 + 2.04351i) q^{21} +(-0.109602 - 1.08857i) q^{22} +(3.99789 - 0.795230i) q^{23} +(0.258891 - 2.81655i) q^{24} +(0.256095 - 1.28747i) q^{25} +(2.62124 - 2.16074i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(-4.54121 + 0.923824i) q^{28} +(-0.385772 + 1.27172i) q^{29} +(-1.50381 + 2.26123i) q^{30} +(-4.74198 - 4.74198i) q^{31} +(4.66910 - 3.19366i) q^{32} +(-0.547037 + 0.547037i) q^{33} +(-1.55166 - 7.71314i) q^{34} +(4.25781 + 1.29159i) q^{35} +(-1.65810 + 1.11835i) q^{36} +(-0.647732 - 0.0637961i) q^{37} +(-3.77648 - 0.363672i) q^{38} +(-2.35590 - 0.468618i) q^{39} +(-5.40151 + 0.567557i) q^{40} +(1.92727 + 9.68903i) q^{41} +(2.53758 + 2.07333i) q^{42} +(-3.77207 - 2.01621i) q^{43} +(-1.54045 - 0.144968i) q^{44} +(1.91099 - 0.188216i) q^{45} +(-0.0125186 - 5.76462i) q^{46} +(-1.55657 - 3.75789i) q^{47} +(-3.83770 - 1.12785i) q^{48} +(-0.624156 + 1.50685i) q^{49} +(-1.71666 - 0.706700i) q^{50} +(-3.52931 + 4.30048i) q^{51} +(-2.28302 - 4.22697i) q^{52} +(3.62840 + 11.9612i) q^{53} +(1.35421 + 0.407585i) q^{54} +(1.23519 + 0.825325i) q^{55} +(0.0426967 + 6.55364i) q^{56} +(1.49044 + 2.23061i) q^{57} +(1.65941 + 0.882346i) q^{58} +(-0.544937 + 0.447218i) q^{59} +(2.72739 + 2.70380i) q^{60} +(2.90426 + 5.43348i) q^{61} +(-7.87416 + 5.28611i) q^{62} -2.31711i q^{63} +(-3.15751 - 7.35052i) q^{64} +4.61251i q^{65} +(0.609809 + 0.908367i) q^{66} +(3.64798 + 6.82489i) q^{67} +(-11.1265 + 0.0483252i) q^{68} +(-3.15096 + 2.58592i) q^{69} +(2.95416 - 5.55583i) q^{70} +(2.20895 + 3.30592i) q^{71} +(1.09939 + 2.60602i) q^{72} +(-10.6853 - 7.13966i) q^{73} +(-0.265283 + 0.881407i) q^{74} +(0.381056 + 1.25617i) q^{75} +(-1.53519 + 5.14113i) q^{76} +(1.13720 - 1.38568i) q^{77} +(-1.29316 + 3.14125i) q^{78} +(2.19861 - 5.30791i) q^{79} +(-0.686437 + 7.65021i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(13.9708 - 0.0303393i) q^{82} +(-6.92680 + 0.682230i) q^{83} +(3.56950 - 2.95545i) q^{84} +(9.42140 + 5.03584i) q^{85} +(-3.82712 + 4.68406i) q^{86} +(-0.259264 - 1.30341i) q^{87} +(-0.621530 + 2.09802i) q^{88} +(4.65705 + 0.926345i) q^{89} +(0.260308 - 2.70312i) q^{90} +(5.53903 + 0.545546i) q^{91} +(-8.00261 - 1.55572i) q^{92} +(6.41740 + 1.94670i) q^{93} +(-5.63936 + 1.13447i) q^{94} +(3.64264 - 3.64264i) q^{95} +(-2.61230 + 5.01756i) q^{96} +(-12.0214 - 12.0214i) q^{97} +(1.92063 + 1.27730i) q^{98} +(0.224572 - 0.740315i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.272887 1.38764i 0.192960 0.981207i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) −1.85107 0.757334i −0.925533 0.378667i
\(5\) 1.21818 + 1.48436i 0.544789 + 0.663827i 0.970519 0.241023i \(-0.0774830\pi\)
−0.425731 + 0.904850i \(0.639983\pi\)
\(6\) 0.413462 + 1.35242i 0.168795 + 0.552125i
\(7\) 1.92661 1.28732i 0.728189 0.486560i −0.135378 0.990794i \(-0.543225\pi\)
0.863567 + 0.504234i \(0.168225\pi\)
\(8\) −1.55604 + 2.36194i −0.550142 + 0.835071i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) 2.39218 1.28533i 0.756474 0.406458i
\(11\) 0.740315 0.224572i 0.223213 0.0677110i −0.176697 0.984265i \(-0.556541\pi\)
0.399910 + 0.916554i \(0.369041\pi\)
\(12\) 1.98950 0.204677i 0.574319 0.0590852i
\(13\) 1.85681 + 1.52385i 0.514987 + 0.422639i 0.855657 0.517544i \(-0.173154\pi\)
−0.340669 + 0.940183i \(0.610654\pi\)
\(14\) −1.26058 3.02472i −0.336905 0.808391i
\(15\) −1.77407 0.734842i −0.458062 0.189735i
\(16\) 2.85289 + 2.80375i 0.713222 + 0.700938i
\(17\) 5.13980 2.12898i 1.24659 0.516353i 0.340819 0.940129i \(-0.389296\pi\)
0.905767 + 0.423776i \(0.139296\pi\)
\(18\) −1.00217 0.997826i −0.236214 0.235190i
\(19\) −0.262953 2.66981i −0.0603256 0.612496i −0.977055 0.212987i \(-0.931681\pi\)
0.916729 0.399509i \(-0.130819\pi\)
\(20\) −1.13078 3.67022i −0.252850 0.820687i
\(21\) −1.09228 + 2.04351i −0.238355 + 0.445930i
\(22\) −0.109602 1.08857i −0.0233673 0.232084i
\(23\) 3.99789 0.795230i 0.833618 0.165817i 0.240212 0.970720i \(-0.422783\pi\)
0.593406 + 0.804904i \(0.297783\pi\)
\(24\) 0.258891 2.81655i 0.0528458 0.574927i
\(25\) 0.256095 1.28747i 0.0512189 0.257495i
\(26\) 2.62124 2.16074i 0.514068 0.423757i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) −4.54121 + 0.923824i −0.858207 + 0.174586i
\(29\) −0.385772 + 1.27172i −0.0716361 + 0.236152i −0.985446 0.169990i \(-0.945626\pi\)
0.913810 + 0.406143i \(0.133126\pi\)
\(30\) −1.50381 + 2.26123i −0.274557 + 0.412842i
\(31\) −4.74198 4.74198i −0.851684 0.851684i 0.138656 0.990341i \(-0.455722\pi\)
−0.990341 + 0.138656i \(0.955722\pi\)
\(32\) 4.66910 3.19366i 0.825388 0.564565i
\(33\) −0.547037 + 0.547037i −0.0952269 + 0.0952269i
\(34\) −1.55166 7.71314i −0.266107 1.32279i
\(35\) 4.25781 + 1.29159i 0.719701 + 0.218319i
\(36\) −1.65810 + 1.11835i −0.276350 + 0.186392i
\(37\) −0.647732 0.0637961i −0.106487 0.0104880i 0.0446335 0.999003i \(-0.485788\pi\)
−0.151120 + 0.988515i \(0.548288\pi\)
\(38\) −3.77648 0.363672i −0.612626 0.0589953i
\(39\) −2.35590 0.468618i −0.377246 0.0750389i
\(40\) −5.40151 + 0.567557i −0.854054 + 0.0897386i
\(41\) 1.92727 + 9.68903i 0.300989 + 1.51317i 0.774608 + 0.632442i \(0.217947\pi\)
−0.473619 + 0.880730i \(0.657053\pi\)
\(42\) 2.53758 + 2.07333i 0.391557 + 0.319922i
\(43\) −3.77207 2.01621i −0.575235 0.307470i 0.158006 0.987438i \(-0.449493\pi\)
−0.733241 + 0.679969i \(0.761993\pi\)
\(44\) −1.54045 0.144968i −0.232231 0.0218548i
\(45\) 1.91099 0.188216i 0.284873 0.0280576i
\(46\) −0.0125186 5.76462i −0.00184577 0.849947i
\(47\) −1.55657 3.75789i −0.227049 0.548145i 0.768766 0.639530i \(-0.220871\pi\)
−0.995816 + 0.0913843i \(0.970871\pi\)
\(48\) −3.83770 1.12785i −0.553925 0.162790i
\(49\) −0.624156 + 1.50685i −0.0891652 + 0.215264i
\(50\) −1.71666 0.706700i −0.242772 0.0999425i
\(51\) −3.52931 + 4.30048i −0.494202 + 0.602187i
\(52\) −2.28302 4.22697i −0.316598 0.586175i
\(53\) 3.62840 + 11.9612i 0.498400 + 1.64300i 0.739985 + 0.672624i \(0.234833\pi\)
−0.241585 + 0.970380i \(0.577667\pi\)
\(54\) 1.35421 + 0.407585i 0.184284 + 0.0554652i
\(55\) 1.23519 + 0.825325i 0.166552 + 0.111287i
\(56\) 0.0426967 + 6.55364i 0.00570558 + 0.875767i
\(57\) 1.49044 + 2.23061i 0.197414 + 0.295451i
\(58\) 1.65941 + 0.882346i 0.217891 + 0.115858i
\(59\) −0.544937 + 0.447218i −0.0709447 + 0.0582228i −0.669197 0.743085i \(-0.733362\pi\)
0.598253 + 0.801308i \(0.295862\pi\)
\(60\) 2.72739 + 2.70380i 0.352105 + 0.349059i
\(61\) 2.90426 + 5.43348i 0.371852 + 0.695686i 0.996352 0.0853385i \(-0.0271972\pi\)
−0.624500 + 0.781025i \(0.714697\pi\)
\(62\) −7.87416 + 5.28611i −1.00002 + 0.671337i
\(63\) 2.31711i 0.291928i
\(64\) −3.15751 7.35052i −0.394689 0.918815i
\(65\) 4.61251i 0.572111i
\(66\) 0.609809 + 0.908367i 0.0750623 + 0.111812i
\(67\) 3.64798 + 6.82489i 0.445671 + 0.833793i 0.999999 + 0.00149398i \(0.000475548\pi\)
−0.554327 + 0.832299i \(0.687024\pi\)
\(68\) −11.1265 + 0.0483252i −1.34928 + 0.00586029i
\(69\) −3.15096 + 2.58592i −0.379331 + 0.311309i
\(70\) 2.95416 5.55583i 0.353089 0.664048i
\(71\) 2.20895 + 3.30592i 0.262154 + 0.392341i 0.939074 0.343716i \(-0.111686\pi\)
−0.676920 + 0.736057i \(0.736686\pi\)
\(72\) 1.09939 + 2.60602i 0.129565 + 0.307122i
\(73\) −10.6853 7.13966i −1.25061 0.835634i −0.259128 0.965843i \(-0.583435\pi\)
−0.991487 + 0.130209i \(0.958435\pi\)
\(74\) −0.265283 + 0.881407i −0.0308385 + 0.102462i
\(75\) 0.381056 + 1.25617i 0.0440005 + 0.145050i
\(76\) −1.53519 + 5.14113i −0.176099 + 0.589729i
\(77\) 1.13720 1.38568i 0.129596 0.157913i
\(78\) −1.29316 + 3.14125i −0.146422 + 0.355677i
\(79\) 2.19861 5.30791i 0.247363 0.597187i −0.750616 0.660739i \(-0.770243\pi\)
0.997979 + 0.0635523i \(0.0202430\pi\)
\(80\) −0.686437 + 7.65021i −0.0767460 + 0.855319i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 13.9708 0.0303393i 1.54281 0.00335041i
\(83\) −6.92680 + 0.682230i −0.760315 + 0.0748845i −0.470741 0.882271i \(-0.656013\pi\)
−0.289573 + 0.957156i \(0.593513\pi\)
\(84\) 3.56950 2.95545i 0.389464 0.322466i
\(85\) 9.42140 + 5.03584i 1.02189 + 0.546214i
\(86\) −3.82712 + 4.68406i −0.412689 + 0.505095i
\(87\) −0.259264 1.30341i −0.0277960 0.139740i
\(88\) −0.621530 + 2.09802i −0.0662554 + 0.223650i
\(89\) 4.65705 + 0.926345i 0.493646 + 0.0981923i 0.435635 0.900124i \(-0.356524\pi\)
0.0580116 + 0.998316i \(0.481524\pi\)
\(90\) 0.260308 2.70312i 0.0274389 0.284934i
\(91\) 5.53903 + 0.545546i 0.580648 + 0.0571888i
\(92\) −8.00261 1.55572i −0.834330 0.162195i
\(93\) 6.41740 + 1.94670i 0.665454 + 0.201863i
\(94\) −5.63936 + 1.13447i −0.581655 + 0.117012i
\(95\) 3.64264 3.64264i 0.373727 0.373727i
\(96\) −2.61230 + 5.01756i −0.266616 + 0.512103i
\(97\) −12.0214 12.0214i −1.22059 1.22059i −0.967424 0.253162i \(-0.918529\pi\)
−0.253162 0.967424i \(-0.581471\pi\)
\(98\) 1.92063 + 1.27730i 0.194013 + 0.129027i
\(99\) 0.224572 0.740315i 0.0225703 0.0744044i
\(100\) −1.44910 + 2.18925i −0.144910 + 0.218925i
\(101\) 1.29132 13.1110i 0.128491 1.30459i −0.687356 0.726321i \(-0.741229\pi\)
0.815847 0.578268i \(-0.196271\pi\)
\(102\) 5.00439 + 6.07094i 0.495509 + 0.601112i
\(103\) −0.663447 + 3.33538i −0.0653714 + 0.328644i −0.999608 0.0280106i \(-0.991083\pi\)
0.934236 + 0.356655i \(0.116083\pi\)
\(104\) −6.48850 + 2.01452i −0.636250 + 0.197540i
\(105\) −4.36390 + 0.868034i −0.425873 + 0.0847115i
\(106\) 17.5880 1.77084i 1.70830 0.171999i
\(107\) −1.10196 + 2.06162i −0.106531 + 0.199305i −0.929538 0.368725i \(-0.879794\pi\)
0.823008 + 0.568030i \(0.192294\pi\)
\(108\) 0.935124 1.76792i 0.0899823 0.170118i
\(109\) −0.490109 4.97616i −0.0469439 0.476629i −0.989701 0.143149i \(-0.954277\pi\)
0.942757 0.333480i \(-0.108223\pi\)
\(110\) 1.48232 1.48877i 0.141333 0.141948i
\(111\) 0.601322 0.249076i 0.0570750 0.0236412i
\(112\) 9.10572 + 1.72915i 0.860409 + 0.163390i
\(113\) 0.215074 + 0.0890866i 0.0202325 + 0.00838056i 0.392777 0.919634i \(-0.371515\pi\)
−0.372544 + 0.928014i \(0.621515\pi\)
\(114\) 3.50199 1.45949i 0.327991 0.136694i
\(115\) 6.05058 + 4.96558i 0.564219 + 0.463043i
\(116\) 1.67721 2.06188i 0.155725 0.191441i
\(117\) 2.29862 0.697280i 0.212508 0.0644635i
\(118\) 0.471870 + 0.878213i 0.0434391 + 0.0808461i
\(119\) 7.16171 10.7183i 0.656513 0.982541i
\(120\) 4.49616 3.04679i 0.410441 0.278133i
\(121\) −8.64853 + 5.77876i −0.786230 + 0.525342i
\(122\) 8.33223 2.54733i 0.754365 0.230624i
\(123\) −6.26707 7.63645i −0.565083 0.688556i
\(124\) 5.18645 + 12.3690i 0.465757 + 1.11077i
\(125\) 10.6905 5.71421i 0.956190 0.511094i
\(126\) −3.21531 0.632308i −0.286442 0.0563305i
\(127\) −19.9405 −1.76943 −0.884715 0.466132i \(-0.845647\pi\)
−0.884715 + 0.466132i \(0.845647\pi\)
\(128\) −11.0615 + 2.37561i −0.977706 + 0.209976i
\(129\) 4.27710 0.376578
\(130\) 6.40048 + 1.25869i 0.561360 + 0.110395i
\(131\) −19.2343 + 10.2810i −1.68051 + 0.898253i −0.697077 + 0.716996i \(0.745516\pi\)
−0.983436 + 0.181256i \(0.941984\pi\)
\(132\) 1.42689 0.598311i 0.124195 0.0520763i
\(133\) −3.94350 4.80517i −0.341945 0.416661i
\(134\) 10.4659 3.19964i 0.904120 0.276407i
\(135\) −1.59662 + 1.06683i −0.137415 + 0.0918177i
\(136\) −2.96920 + 15.4527i −0.254607 + 1.32505i
\(137\) −10.5674 + 15.8152i −0.902830 + 1.35118i 0.0332700 + 0.999446i \(0.489408\pi\)
−0.936100 + 0.351734i \(0.885592\pi\)
\(138\) 2.72847 + 5.07804i 0.232262 + 0.432272i
\(139\) −12.1237 + 3.67767i −1.02832 + 0.311936i −0.758983 0.651111i \(-0.774303\pi\)
−0.269333 + 0.963047i \(0.586803\pi\)
\(140\) −6.90331 5.61541i −0.583437 0.474588i
\(141\) 3.14423 + 2.58040i 0.264792 + 0.217309i
\(142\) 5.19021 2.16307i 0.435553 0.181521i
\(143\) 1.71684 + 0.711138i 0.143569 + 0.0594684i
\(144\) 3.91621 0.814410i 0.326351 0.0678675i
\(145\) −2.35763 + 0.976564i −0.195791 + 0.0810992i
\(146\) −12.8231 + 12.8789i −1.06125 + 1.06587i
\(147\) −0.159866 1.62314i −0.0131855 0.133875i
\(148\) 1.15068 + 0.608641i 0.0945853 + 0.0500299i
\(149\) 3.41818 6.39497i 0.280029 0.523897i −0.702107 0.712072i \(-0.747757\pi\)
0.982136 + 0.188175i \(0.0602572\pi\)
\(150\) 1.84710 0.185974i 0.150815 0.0151847i
\(151\) 18.7526 3.73013i 1.52607 0.303553i 0.640460 0.767991i \(-0.278744\pi\)
0.885606 + 0.464438i \(0.153744\pi\)
\(152\) 6.71509 + 3.53324i 0.544666 + 0.286583i
\(153\) 1.08534 5.45639i 0.0877448 0.441123i
\(154\) −1.61250 1.95615i −0.129939 0.157631i
\(155\) 1.26221 12.8154i 0.101383 1.02936i
\(156\) 4.00603 + 2.65165i 0.320739 + 0.212302i
\(157\) −3.42685 + 11.2968i −0.273492 + 0.901584i 0.707364 + 0.706850i \(0.249884\pi\)
−0.980856 + 0.194734i \(0.937616\pi\)
\(158\) −6.76548 4.49933i −0.538232 0.357947i
\(159\) −8.83846 8.83846i −0.700935 0.700935i
\(160\) 10.4284 + 3.04016i 0.824436 + 0.240346i
\(161\) 6.67865 6.67865i 0.526351 0.526351i
\(162\) −1.38644 + 0.278911i −0.108929 + 0.0219133i
\(163\) 4.73071 + 1.43505i 0.370538 + 0.112401i 0.470061 0.882634i \(-0.344232\pi\)
−0.0995234 + 0.995035i \(0.531732\pi\)
\(164\) 3.77034 19.3946i 0.294414 1.51446i
\(165\) −1.47839 0.145609i −0.115093 0.0113356i
\(166\) −0.943543 + 9.79804i −0.0732332 + 0.760475i
\(167\) −10.6703 2.12245i −0.825690 0.164240i −0.235880 0.971782i \(-0.575797\pi\)
−0.589810 + 0.807542i \(0.700797\pi\)
\(168\) −3.12702 5.75967i −0.241255 0.444368i
\(169\) −1.41053 7.09121i −0.108502 0.545478i
\(170\) 9.55889 11.6993i 0.733133 0.897292i
\(171\) −2.36595 1.26463i −0.180929 0.0967086i
\(172\) 5.45540 + 6.58886i 0.415970 + 0.502396i
\(173\) −2.23709 + 0.220334i −0.170083 + 0.0167517i −0.182700 0.983169i \(-0.558484\pi\)
0.0126171 + 0.999920i \(0.495984\pi\)
\(174\) −1.87941 + 0.00408136i −0.142477 + 0.000309407i
\(175\) −1.16399 2.81013i −0.0879897 0.212426i
\(176\) 2.74168 + 1.43498i 0.206662 + 0.108166i
\(177\) 0.269774 0.651292i 0.0202775 0.0489541i
\(178\) 2.55628 6.20950i 0.191601 0.465422i
\(179\) −8.53103 + 10.3951i −0.637639 + 0.776965i −0.987121 0.159978i \(-0.948858\pi\)
0.349482 + 0.936943i \(0.386358\pi\)
\(180\) −3.67991 1.09886i −0.274284 0.0819040i
\(181\) −2.29785 7.57500i −0.170798 0.563046i −0.999992 0.00408417i \(-0.998700\pi\)
0.829194 0.558961i \(-0.188800\pi\)
\(182\) 2.26855 7.53728i 0.168156 0.558700i
\(183\) −5.12265 3.42285i −0.378677 0.253024i
\(184\) −4.34257 + 10.6802i −0.320139 + 0.787353i
\(185\) −0.694361 1.03918i −0.0510504 0.0764023i
\(186\) 4.45253 8.37379i 0.326475 0.613996i
\(187\) 3.32696 2.73037i 0.243292 0.199664i
\(188\) 0.0353323 + 8.13496i 0.00257687 + 0.593303i
\(189\) 1.09228 + 2.04351i 0.0794516 + 0.148643i
\(190\) −4.06063 6.04868i −0.294589 0.438817i
\(191\) 11.4815i 0.830774i −0.909645 0.415387i \(-0.863646\pi\)
0.909645 0.415387i \(-0.136354\pi\)
\(192\) 6.24968 + 4.99414i 0.451032 + 0.360421i
\(193\) 16.9313i 1.21874i −0.792886 0.609370i \(-0.791423\pi\)
0.792886 0.609370i \(-0.208577\pi\)
\(194\) −19.9618 + 13.4008i −1.43317 + 0.962123i
\(195\) −2.17432 4.06787i −0.155706 0.291306i
\(196\) 2.29654 2.31658i 0.164039 0.165470i
\(197\) 12.4011 10.1773i 0.883540 0.725103i −0.0788176 0.996889i \(-0.525114\pi\)
0.962358 + 0.271787i \(0.0876145\pi\)
\(198\) −0.966004 0.513646i −0.0686509 0.0365032i
\(199\) 5.41231 + 8.10009i 0.383668 + 0.574200i 0.972164 0.234300i \(-0.0752797\pi\)
−0.588496 + 0.808500i \(0.700280\pi\)
\(200\) 2.64244 + 2.60823i 0.186849 + 0.184430i
\(201\) −6.43446 4.29937i −0.453852 0.303254i
\(202\) −17.8409 5.36968i −1.25528 0.377810i
\(203\) 0.893876 + 2.94672i 0.0627378 + 0.206819i
\(204\) 9.78988 5.28760i 0.685429 0.370206i
\(205\) −12.0343 + 14.6638i −0.840509 + 1.02416i
\(206\) 4.44724 + 1.83080i 0.309854 + 0.127558i
\(207\) 1.55990 3.76593i 0.108421 0.261750i
\(208\) 1.02479 + 9.55341i 0.0710566 + 0.662410i
\(209\) −0.794232 1.91745i −0.0549382 0.132633i
\(210\) 0.0136647 + 6.29238i 0.000942953 + 0.434216i
\(211\) 20.2342 1.99289i 1.39298 0.137196i 0.626477 0.779440i \(-0.284496\pi\)
0.766500 + 0.642244i \(0.221996\pi\)
\(212\) 2.34225 24.8890i 0.160866 1.70938i
\(213\) −3.50652 1.87427i −0.240263 0.128423i
\(214\) 2.56007 + 2.09171i 0.175003 + 0.142986i
\(215\) −1.60229 8.05523i −0.109275 0.549362i
\(216\) −2.19805 1.78005i −0.149558 0.121117i
\(217\) −15.2404 3.03149i −1.03458 0.205791i
\(218\) −7.03884 0.677834i −0.476730 0.0459087i
\(219\) 12.7892 + 1.25962i 0.864212 + 0.0851174i
\(220\) −1.66136 2.46318i −0.112009 0.166067i
\(221\) 12.7879 + 3.87916i 0.860207 + 0.260941i
\(222\) −0.181534 0.902385i −0.0121837 0.0605641i
\(223\) −5.62093 + 5.62093i −0.376405 + 0.376405i −0.869804 0.493398i \(-0.835755\pi\)
0.493398 + 0.869804i \(0.335755\pi\)
\(224\) 4.88426 12.1636i 0.326343 0.812712i
\(225\) −0.928217 0.928217i −0.0618811 0.0618811i
\(226\) 0.182311 0.274134i 0.0121271 0.0182351i
\(227\) −5.93458 + 19.5637i −0.393892 + 1.29849i 0.506061 + 0.862498i \(0.331101\pi\)
−0.899952 + 0.435989i \(0.856399\pi\)
\(228\) −1.06959 5.25776i −0.0708356 0.348204i
\(229\) 1.93195 19.6154i 0.127667 1.29622i −0.691378 0.722493i \(-0.742996\pi\)
0.819045 0.573729i \(-0.194504\pi\)
\(230\) 8.54154 7.04096i 0.563212 0.464267i
\(231\) −0.349715 + 1.75813i −0.0230095 + 0.115677i
\(232\) −2.40345 2.89001i −0.157794 0.189739i
\(233\) −15.5797 + 3.09900i −1.02066 + 0.203023i −0.676932 0.736046i \(-0.736691\pi\)
−0.343731 + 0.939068i \(0.611691\pi\)
\(234\) −0.340307 3.37993i −0.0222465 0.220953i
\(235\) 3.68189 6.88832i 0.240180 0.449345i
\(236\) 1.34741 0.415131i 0.0877087 0.0270227i
\(237\) 0.563132 + 5.71758i 0.0365794 + 0.371397i
\(238\) −12.9187 12.8627i −0.837395 0.833766i
\(239\) 11.1856 4.63323i 0.723536 0.299698i 0.00964327 0.999954i \(-0.496930\pi\)
0.713893 + 0.700255i \(0.246930\pi\)
\(240\) −3.00090 7.07046i −0.193707 0.456396i
\(241\) −1.25428 0.519540i −0.0807953 0.0334665i 0.341920 0.939729i \(-0.388923\pi\)
−0.422715 + 0.906263i \(0.638923\pi\)
\(242\) 5.65875 + 13.5780i 0.363758 + 0.872824i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) −1.26101 12.2572i −0.0807278 0.784689i
\(245\) −2.99704 + 0.909143i −0.191474 + 0.0580830i
\(246\) −12.3068 + 6.61253i −0.784654 + 0.421600i
\(247\) 3.58013 5.35804i 0.227798 0.340924i
\(248\) 18.5789 3.82157i 1.17976 0.242670i
\(249\) 5.78729 3.86694i 0.366754 0.245057i
\(250\) −5.01194 16.3939i −0.316983 1.03684i
\(251\) −13.5766 16.5432i −0.856950 1.04420i −0.998526 0.0542692i \(-0.982717\pi\)
0.141576 0.989927i \(-0.454783\pi\)
\(252\) −1.75483 + 4.28912i −0.110544 + 0.270189i
\(253\) 2.78111 1.48653i 0.174847 0.0934576i
\(254\) −5.44148 + 27.6701i −0.341429 + 1.73618i
\(255\) −10.6828 −0.668984
\(256\) 0.277953 + 15.9976i 0.0173721 + 0.999849i
\(257\) 21.2385 1.32482 0.662409 0.749142i \(-0.269534\pi\)
0.662409 + 0.749142i \(0.269534\pi\)
\(258\) 1.16716 5.93506i 0.0726645 0.369501i
\(259\) −1.33005 + 0.710927i −0.0826454 + 0.0441749i
\(260\) 3.49321 8.53806i 0.216640 0.529508i
\(261\) 0.843073 + 1.02729i 0.0521849 + 0.0635875i
\(262\) 9.01745 + 29.4958i 0.557100 + 1.82226i
\(263\) 17.4224 11.6413i 1.07431 0.717834i 0.113085 0.993585i \(-0.463927\pi\)
0.961229 + 0.275752i \(0.0889267\pi\)
\(264\) −0.440859 2.14328i −0.0271330 0.131909i
\(265\) −13.3347 + 19.9569i −0.819147 + 1.22594i
\(266\) −7.74395 + 4.16087i −0.474812 + 0.255120i
\(267\) −4.54383 + 1.37835i −0.278078 + 0.0843539i
\(268\) −1.58393 15.3961i −0.0967537 0.940464i
\(269\) 19.0108 + 15.6018i 1.15911 + 0.951256i 0.999355 0.0359009i \(-0.0114301\pi\)
0.159753 + 0.987157i \(0.448930\pi\)
\(270\) 1.04467 + 2.50665i 0.0635766 + 0.152550i
\(271\) 27.8566 + 11.5386i 1.69217 + 0.700919i 0.999787 0.0206145i \(-0.00656225\pi\)
0.692380 + 0.721533i \(0.256562\pi\)
\(272\) 20.6324 + 8.33700i 1.25102 + 0.505505i
\(273\) −5.14215 + 2.12995i −0.311217 + 0.128910i
\(274\) 19.0620 + 18.9794i 1.15158 + 1.14659i
\(275\) −0.0995401 1.01065i −0.00600249 0.0609443i
\(276\) 7.79104 2.40039i 0.468965 0.144486i
\(277\) −2.15973 + 4.04057i −0.129766 + 0.242774i −0.938410 0.345523i \(-0.887702\pi\)
0.808645 + 0.588297i \(0.200202\pi\)
\(278\) 1.79488 + 17.8268i 0.107650 + 1.06918i
\(279\) −6.57731 + 1.30831i −0.393773 + 0.0783264i
\(280\) −9.67596 + 8.04692i −0.578249 + 0.480895i
\(281\) 2.22275 11.1745i 0.132598 0.666615i −0.856114 0.516787i \(-0.827128\pi\)
0.988712 0.149828i \(-0.0478720\pi\)
\(282\) 4.43868 3.65889i 0.264320 0.217884i
\(283\) −1.17357 + 11.9154i −0.0697614 + 0.708300i 0.895157 + 0.445751i \(0.147063\pi\)
−0.964919 + 0.262549i \(0.915437\pi\)
\(284\) −1.58522 7.79240i −0.0940654 0.462394i
\(285\) −1.49539 + 4.92965i −0.0885793 + 0.292007i
\(286\) 1.45530 2.18829i 0.0860539 0.129396i
\(287\) 16.1859 + 16.1859i 0.955426 + 0.955426i
\(288\) −0.0614215 5.65652i −0.00361930 0.333314i
\(289\) 9.86422 9.86422i 0.580248 0.580248i
\(290\) 0.711748 + 3.53803i 0.0417953 + 0.207760i
\(291\) 16.2687 + 4.93507i 0.953691 + 0.289299i
\(292\) 14.3720 + 21.3083i 0.841058 + 1.24697i
\(293\) −25.4279 2.50443i −1.48552 0.146311i −0.677523 0.735502i \(-0.736946\pi\)
−0.807993 + 0.589191i \(0.799446\pi\)
\(294\) −2.29596 0.221099i −0.133903 0.0128948i
\(295\) −1.32767 0.264089i −0.0772997 0.0153759i
\(296\) 1.15858 1.43063i 0.0673409 0.0831540i
\(297\) 0.150927 + 0.758762i 0.00875768 + 0.0440278i
\(298\) −7.94112 6.48830i −0.460017 0.375857i
\(299\) 8.63515 + 4.61558i 0.499383 + 0.266926i
\(300\) 0.245983 2.61385i 0.0142019 0.150910i
\(301\) −9.86280 + 0.971401i −0.568482 + 0.0559906i
\(302\) −0.0587201 27.0397i −0.00337896 1.55596i
\(303\) 5.04162 + 12.1716i 0.289634 + 0.699238i
\(304\) 6.73530 8.35392i 0.386296 0.479130i
\(305\) −4.52734 + 10.9300i −0.259234 + 0.625847i
\(306\) −7.27530 2.99504i −0.415901 0.171215i
\(307\) −1.61460 + 1.96740i −0.0921501 + 0.112285i −0.817044 0.576575i \(-0.804389\pi\)
0.724894 + 0.688861i \(0.241889\pi\)
\(308\) −3.15446 + 1.70375i −0.179742 + 0.0970801i
\(309\) −0.987177 3.25429i −0.0561585 0.185130i
\(310\) −17.4387 5.24864i −0.990450 0.298103i
\(311\) 10.6194 + 7.09564i 0.602170 + 0.402357i 0.818951 0.573863i \(-0.194556\pi\)
−0.216782 + 0.976220i \(0.569556\pi\)
\(312\) 4.77271 4.83531i 0.270201 0.273745i
\(313\) 13.0718 + 19.5633i 0.738862 + 1.10579i 0.990439 + 0.137948i \(0.0440508\pi\)
−0.251577 + 0.967837i \(0.580949\pi\)
\(314\) 14.7407 + 7.83797i 0.831867 + 0.442322i
\(315\) 3.43943 2.82267i 0.193790 0.159039i
\(316\) −8.08963 + 8.16021i −0.455078 + 0.459048i
\(317\) −4.46881 8.36056i −0.250993 0.469576i 0.724597 0.689173i \(-0.242026\pi\)
−0.975591 + 0.219597i \(0.929526\pi\)
\(318\) −14.6765 + 9.85266i −0.823015 + 0.552510i
\(319\) 1.02811i 0.0575629i
\(320\) 7.06440 13.6412i 0.394912 0.762565i
\(321\) 2.33765i 0.130475i
\(322\) −7.44502 11.0900i −0.414895 0.618024i
\(323\) −7.03549 13.1625i −0.391465 0.732379i
\(324\) 0.00868646 + 1.99998i 0.000482581 + 0.111110i
\(325\) 2.43743 2.00035i 0.135205 0.110959i
\(326\) 3.28227 6.17290i 0.181788 0.341885i
\(327\) 2.77798 + 4.15754i 0.153623 + 0.229913i
\(328\) −25.8838 10.5244i −1.42919 0.581112i
\(329\) −7.83651 5.23619i −0.432041 0.288680i
\(330\) −0.605485 + 2.01173i −0.0333309 + 0.110742i
\(331\) 8.70674 + 28.7023i 0.478566 + 1.57762i 0.781052 + 0.624466i \(0.214683\pi\)
−0.302486 + 0.953154i \(0.597817\pi\)
\(332\) 13.3386 + 3.98305i 0.732053 + 0.218598i
\(333\) −0.412905 + 0.503126i −0.0226271 + 0.0275712i
\(334\) −5.85696 + 14.2273i −0.320479 + 0.778481i
\(335\) −5.68669 + 13.7289i −0.310697 + 0.750089i
\(336\) −8.84564 + 2.76743i −0.482569 + 0.150976i
\(337\) −0.764852 1.84652i −0.0416642 0.100586i 0.901678 0.432409i \(-0.142336\pi\)
−0.943342 + 0.331823i \(0.892336\pi\)
\(338\) −10.2249 + 0.0222047i −0.556163 + 0.00120778i
\(339\) −0.231673 + 0.0228178i −0.0125828 + 0.00123930i
\(340\) −13.6258 16.4568i −0.738963 0.892497i
\(341\) −4.57547 2.44564i −0.247776 0.132439i
\(342\) −2.40048 + 2.93798i −0.129803 + 0.158868i
\(343\) 3.90161 + 19.6147i 0.210667 + 1.05909i
\(344\) 10.6316 5.77210i 0.573220 0.311211i
\(345\) −7.67689 1.52703i −0.413310 0.0822124i
\(346\) −0.304729 + 3.16440i −0.0163823 + 0.170119i
\(347\) −24.2003 2.38352i −1.29914 0.127954i −0.575312 0.817934i \(-0.695119\pi\)
−0.723828 + 0.689980i \(0.757619\pi\)
\(348\) −0.507201 + 2.60904i −0.0271888 + 0.139859i
\(349\) −21.7908 6.61015i −1.16643 0.353833i −0.353074 0.935596i \(-0.614863\pi\)
−0.813359 + 0.581762i \(0.802363\pi\)
\(350\) −4.21708 + 0.848353i −0.225412 + 0.0453464i
\(351\) −1.69851 + 1.69851i −0.0906597 + 0.0906597i
\(352\) 2.73940 3.41287i 0.146010 0.181906i
\(353\) −8.43155 8.43155i −0.448766 0.448766i 0.446178 0.894944i \(-0.352785\pi\)
−0.894944 + 0.446178i \(0.852785\pi\)
\(354\) −0.830139 0.552077i −0.0441214 0.0293426i
\(355\) −2.21628 + 7.30610i −0.117628 + 0.387768i
\(356\) −7.91895 5.24167i −0.419704 0.277808i
\(357\) −1.26351 + 12.8287i −0.0668722 + 0.678965i
\(358\) 12.0966 + 14.6746i 0.639325 + 0.775579i
\(359\) −1.86064 + 9.35406i −0.0982007 + 0.493688i 0.900114 + 0.435655i \(0.143483\pi\)
−0.998315 + 0.0580337i \(0.981517\pi\)
\(360\) −2.52901 + 4.80651i −0.133291 + 0.253325i
\(361\) 11.5762 2.30265i 0.609273 0.121192i
\(362\) −11.1384 + 1.12146i −0.585421 + 0.0589429i
\(363\) 4.90323 9.17331i 0.257353 0.481474i
\(364\) −9.83994 5.20474i −0.515753 0.272802i
\(365\) −2.41877 24.5582i −0.126604 1.28544i
\(366\) −6.14757 + 6.17433i −0.321339 + 0.322737i
\(367\) −27.9860 + 11.5922i −1.46086 + 0.605107i −0.964753 0.263156i \(-0.915237\pi\)
−0.496104 + 0.868263i \(0.665237\pi\)
\(368\) 13.6352 + 8.94039i 0.710782 + 0.466050i
\(369\) 9.12686 + 3.78047i 0.475126 + 0.196803i
\(370\) −1.63149 + 0.679940i −0.0848172 + 0.0353484i
\(371\) 22.3884 + 18.3737i 1.16235 + 0.953915i
\(372\) −10.4047 8.46358i −0.539460 0.438816i
\(373\) −7.43321 + 2.25484i −0.384877 + 0.116751i −0.476793 0.879016i \(-0.658201\pi\)
0.0919160 + 0.995767i \(0.470701\pi\)
\(374\) −2.88087 5.36169i −0.148966 0.277247i
\(375\) −6.73455 + 10.0790i −0.347770 + 0.520475i
\(376\) 11.2980 + 2.17089i 0.582650 + 0.111955i
\(377\) −2.65421 + 1.77349i −0.136699 + 0.0913393i
\(378\) 3.13371 0.958038i 0.161181 0.0492762i
\(379\) −3.17311 3.86645i −0.162992 0.198606i 0.685110 0.728440i \(-0.259754\pi\)
−0.848101 + 0.529834i \(0.822254\pi\)
\(380\) −9.50145 + 3.98407i −0.487414 + 0.204378i
\(381\) 17.5859 9.39987i 0.900954 0.481570i
\(382\) −15.9322 3.13315i −0.815161 0.160306i
\(383\) −22.2956 −1.13925 −0.569627 0.821904i \(-0.692912\pi\)
−0.569627 + 0.821904i \(0.692912\pi\)
\(384\) 8.63550 7.30945i 0.440679 0.373009i
\(385\) 3.44217 0.175429
\(386\) −23.4944 4.62032i −1.19584 0.235168i
\(387\) −3.77207 + 2.01621i −0.191745 + 0.102490i
\(388\) 13.1482 + 31.3566i 0.667497 + 1.59189i
\(389\) −10.5969 12.9123i −0.537282 0.654680i 0.431640 0.902046i \(-0.357935\pi\)
−0.968922 + 0.247366i \(0.920435\pi\)
\(390\) −6.23807 + 1.90710i −0.315877 + 0.0965697i
\(391\) 18.8553 12.5987i 0.953556 0.637146i
\(392\) −2.58787 3.81892i −0.130707 0.192885i
\(393\) 12.1168 18.1340i 0.611210 0.914740i
\(394\) −10.7383 19.9854i −0.540988 1.00685i
\(395\) 10.5572 3.20248i 0.531189 0.161134i
\(396\) −0.976363 + 1.20029i −0.0490641 + 0.0603171i
\(397\) 20.4940 + 16.8190i 1.02856 + 0.844119i 0.987906 0.155054i \(-0.0495552\pi\)
0.0406560 + 0.999173i \(0.487055\pi\)
\(398\) 12.7169 5.29991i 0.637442 0.265660i
\(399\) 5.74300 + 2.37883i 0.287509 + 0.119090i
\(400\) 4.34037 2.95500i 0.217018 0.147750i
\(401\) −9.78326 + 4.05236i −0.488553 + 0.202365i −0.613341 0.789818i \(-0.710175\pi\)
0.124788 + 0.992183i \(0.460175\pi\)
\(402\) −7.72183 + 7.75545i −0.385130 + 0.386806i
\(403\) −1.57892 16.0310i −0.0786515 0.798562i
\(404\) −12.3197 + 23.2913i −0.612928 + 1.15878i
\(405\) 0.905193 1.69350i 0.0449794 0.0841505i
\(406\) 4.33289 0.436256i 0.215038 0.0216510i
\(407\) −0.493852 + 0.0982333i −0.0244794 + 0.00486925i
\(408\) −4.66573 15.0277i −0.230988 0.743982i
\(409\) −0.635243 + 3.19358i −0.0314108 + 0.157913i −0.993307 0.115501i \(-0.963153\pi\)
0.961897 + 0.273413i \(0.0881527\pi\)
\(410\) 17.0640 + 20.7007i 0.842731 + 1.02234i
\(411\) 1.86436 18.9291i 0.0919620 0.933706i
\(412\) 3.75408 5.67155i 0.184950 0.279417i
\(413\) −0.474167 + 1.56312i −0.0233322 + 0.0769161i
\(414\) −4.80006 3.19224i −0.235910 0.156890i
\(415\) −9.45079 9.45079i −0.463921 0.463921i
\(416\) 13.5363 + 1.18496i 0.663672 + 0.0580974i
\(417\) 8.95847 8.95847i 0.438698 0.438698i
\(418\) −2.87745 + 0.578860i −0.140741 + 0.0283129i
\(419\) −20.2317 6.13722i −0.988384 0.299823i −0.245612 0.969368i \(-0.578989\pi\)
−0.742771 + 0.669545i \(0.766489\pi\)
\(420\) 8.73526 + 1.69815i 0.426237 + 0.0828610i
\(421\) −16.1029 1.58600i −0.784809 0.0772969i −0.302329 0.953204i \(-0.597764\pi\)
−0.482480 + 0.875907i \(0.660264\pi\)
\(422\) 2.75622 28.6215i 0.134171 1.39327i
\(423\) −3.98936 0.793533i −0.193969 0.0385829i
\(424\) −33.8976 10.0421i −1.64622 0.487685i
\(425\) −1.42473 7.16258i −0.0691094 0.347436i
\(426\) −3.55769 + 4.35431i −0.172371 + 0.210967i
\(427\) 12.5900 + 6.72949i 0.609272 + 0.325663i
\(428\) 3.60114 2.98165i 0.174068 0.144123i
\(429\) −1.84935 + 0.182145i −0.0892872 + 0.00879403i
\(430\) −11.6150 + 0.0252234i −0.560124 + 0.00121638i
\(431\) 13.4653 + 32.5081i 0.648601 + 1.56586i 0.814783 + 0.579766i \(0.196856\pi\)
−0.166183 + 0.986095i \(0.553144\pi\)
\(432\) −3.06988 + 2.56434i −0.147700 + 0.123377i
\(433\) 5.41086 13.0630i 0.260029 0.627767i −0.738910 0.673804i \(-0.764659\pi\)
0.998940 + 0.0460371i \(0.0146593\pi\)
\(434\) −8.36550 + 20.3208i −0.401557 + 0.975430i
\(435\) 1.61890 1.97263i 0.0776202 0.0945805i
\(436\) −2.86139 + 9.58237i −0.137036 + 0.458912i
\(437\) −3.17437 10.4645i −0.151851 0.500585i
\(438\) 5.23789 17.4030i 0.250276 0.831546i
\(439\) 15.6696 + 10.4701i 0.747869 + 0.499710i 0.870151 0.492785i \(-0.164021\pi\)
−0.122282 + 0.992495i \(0.539021\pi\)
\(440\) −3.87136 + 1.63320i −0.184560 + 0.0778597i
\(441\) 0.906134 + 1.35613i 0.0431492 + 0.0645774i
\(442\) 8.87251 16.6864i 0.422022 0.793689i
\(443\) 10.7563 8.82751i 0.511049 0.419407i −0.343207 0.939260i \(-0.611513\pi\)
0.854256 + 0.519853i \(0.174013\pi\)
\(444\) −1.30172 + 0.00565372i −0.0617769 + 0.000268314i
\(445\) 4.29811 + 8.04120i 0.203750 + 0.381190i
\(446\) 6.26593 + 9.33368i 0.296700 + 0.441963i
\(447\) 7.25119i 0.342969i
\(448\) −15.5457 10.0968i −0.734467 0.477031i
\(449\) 39.2811i 1.85379i 0.375321 + 0.926895i \(0.377532\pi\)
−0.375321 + 0.926895i \(0.622468\pi\)
\(450\) −1.54133 + 1.03473i −0.0726588 + 0.0487776i
\(451\) 3.60267 + 6.74012i 0.169643 + 0.317380i
\(452\) −0.330648 0.327788i −0.0155524 0.0154179i
\(453\) −14.7800 + 12.1296i −0.694423 + 0.569898i
\(454\) 25.5278 + 13.5737i 1.19808 + 0.637045i
\(455\) 5.93777 + 8.88649i 0.278367 + 0.416605i
\(456\) −7.58774 + 0.0494338i −0.355328 + 0.00231495i
\(457\) 2.92068 + 1.95154i 0.136624 + 0.0912891i 0.622004 0.783014i \(-0.286319\pi\)
−0.485380 + 0.874303i \(0.661319\pi\)
\(458\) −26.6918 8.03362i −1.24723 0.375386i
\(459\) 1.61494 + 5.32373i 0.0753787 + 0.248490i
\(460\) −7.43941 13.7739i −0.346864 0.642213i
\(461\) −17.9361 + 21.8552i −0.835366 + 1.01790i 0.164139 + 0.986437i \(0.447515\pi\)
−0.999505 + 0.0314590i \(0.989985\pi\)
\(462\) 2.34422 + 0.965048i 0.109063 + 0.0448981i
\(463\) 7.15218 17.2669i 0.332390 0.802461i −0.666011 0.745942i \(-0.732000\pi\)
0.998402 0.0565192i \(-0.0180002\pi\)
\(464\) −4.66615 + 2.54647i −0.216621 + 0.118217i
\(465\) 4.92797 + 11.8972i 0.228529 + 0.551719i
\(466\) 0.0487849 + 22.4647i 0.00225992 + 1.04066i
\(467\) 1.56739 0.154375i 0.0725302 0.00714360i −0.0616869 0.998096i \(-0.519648\pi\)
0.134217 + 0.990952i \(0.457148\pi\)
\(468\) −4.78298 0.450116i −0.221093 0.0208066i
\(469\) 15.8140 + 8.45277i 0.730224 + 0.390313i
\(470\) −8.55375 6.98885i −0.394555 0.322371i
\(471\) −2.30307 11.5783i −0.106120 0.533500i
\(472\) −0.208361 1.98299i −0.00959058 0.0912747i
\(473\) −3.24530 0.645531i −0.149219 0.0296815i
\(474\) 8.08759 + 0.778828i 0.371475 + 0.0357728i
\(475\) −3.50465 0.345178i −0.160804 0.0158378i
\(476\) −21.3741 + 14.4164i −0.979681 + 0.660774i
\(477\) 11.9612 + 3.62840i 0.547668 + 0.166133i
\(478\) −3.37683 16.7859i −0.154453 0.767768i
\(479\) 10.8102 10.8102i 0.493931 0.493931i −0.415611 0.909542i \(-0.636432\pi\)
0.909542 + 0.415611i \(0.136432\pi\)
\(480\) −10.6301 + 2.23472i −0.485197 + 0.102001i
\(481\) −1.10550 1.10550i −0.0504066 0.0504066i
\(482\) −1.06321 + 1.59871i −0.0484278 + 0.0728191i
\(483\) −2.74175 + 9.03834i −0.124754 + 0.411259i
\(484\) 20.3855 4.14704i 0.926612 0.188502i
\(485\) 3.19982 32.4883i 0.145296 1.47522i
\(486\) 1.09125 0.899539i 0.0495001 0.0408039i
\(487\) −4.87785 + 24.5226i −0.221037 + 1.11123i 0.697711 + 0.716380i \(0.254202\pi\)
−0.918747 + 0.394846i \(0.870798\pi\)
\(488\) −17.3527 1.59501i −0.785519 0.0722029i
\(489\) −4.84859 + 0.964444i −0.219261 + 0.0436137i
\(490\) 0.443706 + 4.40690i 0.0200446 + 0.199083i
\(491\) −2.52545 + 4.72479i −0.113972 + 0.213227i −0.932439 0.361326i \(-0.882324\pi\)
0.818467 + 0.574553i \(0.194824\pi\)
\(492\) 5.81742 + 18.8818i 0.262269 + 0.851259i
\(493\) 0.724669 + 7.35769i 0.0326375 + 0.331374i
\(494\) −6.45803 6.43005i −0.290561 0.289301i
\(495\) 1.37246 0.568493i 0.0616877 0.0255519i
\(496\) −0.233009 26.8237i −0.0104624 1.20442i
\(497\) 8.51155 + 3.52560i 0.381795 + 0.158145i
\(498\) −3.78663 9.08588i −0.169683 0.407148i
\(499\) 5.63323 + 4.62307i 0.252178 + 0.206957i 0.751986 0.659179i \(-0.229096\pi\)
−0.499808 + 0.866136i \(0.666596\pi\)
\(500\) −24.1164 + 2.48107i −1.07852 + 0.110957i
\(501\) 10.4109 3.15810i 0.465123 0.141093i
\(502\) −26.6608 + 14.3250i −1.18993 + 0.639357i
\(503\) 14.4869 21.6812i 0.645938 0.966715i −0.353572 0.935407i \(-0.615033\pi\)
0.999510 0.0313075i \(-0.00996710\pi\)
\(504\) 5.47287 + 3.60551i 0.243781 + 0.160602i
\(505\) 21.0345 14.0548i 0.936022 0.625430i
\(506\) −1.30384 4.26482i −0.0579628 0.189595i
\(507\) 4.58675 + 5.58897i 0.203705 + 0.248215i
\(508\) 36.9111 + 15.1016i 1.63767 + 0.670025i
\(509\) 19.6423 10.4990i 0.870630 0.465362i 0.0253463 0.999679i \(-0.491931\pi\)
0.845284 + 0.534317i \(0.179431\pi\)
\(510\) −2.91520 + 14.8239i −0.129087 + 0.656411i
\(511\) −29.7773 −1.31727
\(512\) 22.2747 + 3.97983i 0.984411 + 0.175885i
\(513\) 2.68273 0.118445
\(514\) 5.79569 29.4712i 0.255637 1.29992i
\(515\) −5.75910 + 3.07831i −0.253776 + 0.135646i
\(516\) −7.91720 3.23920i −0.348535 0.142598i
\(517\) −1.99627 2.43246i −0.0877959 0.106980i
\(518\) 0.623555 + 2.03963i 0.0273974 + 0.0896162i
\(519\) 1.86908 1.24888i 0.0820433 0.0548196i
\(520\) −10.8945 7.17723i −0.477754 0.314742i
\(521\) −9.88611 + 14.7956i −0.433118 + 0.648207i −0.982260 0.187522i \(-0.939955\pi\)
0.549142 + 0.835729i \(0.314955\pi\)
\(522\) 1.65556 0.889545i 0.0724621 0.0389343i
\(523\) 27.6851 8.39818i 1.21058 0.367227i 0.380456 0.924799i \(-0.375767\pi\)
0.830128 + 0.557573i \(0.188267\pi\)
\(524\) 43.3902 4.46392i 1.89551 0.195007i
\(525\) 2.35124 + 1.92961i 0.102616 + 0.0842152i
\(526\) −11.3995 27.3528i −0.497044 1.19264i
\(527\) −34.4684 14.2773i −1.50147 0.621928i
\(528\) −3.09439 + 0.0268800i −0.134666 + 0.00116980i
\(529\) −5.89849 + 2.44323i −0.256456 + 0.106228i
\(530\) 24.0540 + 23.9497i 1.04484 + 1.04031i
\(531\) 0.0690976 + 0.701559i 0.00299858 + 0.0304451i
\(532\) 3.66056 + 11.8812i 0.158705 + 0.515117i
\(533\) −11.1860 + 20.9276i −0.484520 + 0.906474i
\(534\) 0.672705 + 6.68131i 0.0291108 + 0.289129i
\(535\) −4.40259 + 0.875729i −0.190341 + 0.0378611i
\(536\) −21.7963 2.00347i −0.941459 0.0865365i
\(537\) 2.62348 13.1891i 0.113212 0.569154i
\(538\) 26.8373 22.1226i 1.15704 0.953771i
\(539\) −0.123676 + 1.25571i −0.00532712 + 0.0540872i
\(540\) 3.76339 0.765591i 0.161950 0.0329458i
\(541\) 12.6736 41.7793i 0.544881 1.79623i −0.0578985 0.998322i \(-0.518440\pi\)
0.602779 0.797908i \(-0.294060\pi\)
\(542\) 23.6130 35.5061i 1.01427 1.52512i
\(543\) 5.59736 + 5.59736i 0.240206 + 0.240206i
\(544\) 17.1990 26.3552i 0.737402 1.12997i
\(545\) 6.78937 6.78937i 0.290825 0.290825i
\(546\) 1.55237 + 7.71667i 0.0664353 + 0.330243i
\(547\) −24.7935 7.52102i −1.06009 0.321576i −0.288360 0.957522i \(-0.593110\pi\)
−0.771733 + 0.635946i \(0.780610\pi\)
\(548\) 31.5382 21.2719i 1.34725 0.908690i
\(549\) 6.13130 + 0.603880i 0.261677 + 0.0257730i
\(550\) −1.42957 0.137667i −0.0609572 0.00587013i
\(551\) 3.49669 + 0.695535i 0.148964 + 0.0296308i
\(552\) −1.20479 11.4662i −0.0512793 0.488032i
\(553\) −2.59711 13.0566i −0.110440 0.555222i
\(554\) 5.01748 + 4.09954i 0.213172 + 0.174173i
\(555\) 1.10224 + 0.589159i 0.0467875 + 0.0250084i
\(556\) 25.2269 + 2.37405i 1.06986 + 0.100682i
\(557\) −3.08537 + 0.303882i −0.130731 + 0.0128759i −0.163171 0.986598i \(-0.552172\pi\)
0.0324399 + 0.999474i \(0.489672\pi\)
\(558\) 0.0205955 + 9.48393i 0.000871878 + 0.401487i
\(559\) −3.93163 9.49179i −0.166290 0.401460i
\(560\) 8.52575 + 15.6226i 0.360279 + 0.660175i
\(561\) −1.64703 + 3.97629i −0.0695378 + 0.167879i
\(562\) −14.8996 6.13373i −0.628501 0.258736i
\(563\) −9.84542 + 11.9967i −0.414935 + 0.505600i −0.937972 0.346710i \(-0.887299\pi\)
0.523037 + 0.852310i \(0.324799\pi\)
\(564\) −3.86595 7.15773i −0.162786 0.301395i
\(565\) 0.129763 + 0.427771i 0.00545917 + 0.0179965i
\(566\) 16.2140 + 4.88005i 0.681527 + 0.205124i
\(567\) −1.92661 1.28732i −0.0809099 0.0540623i
\(568\) −11.2456 + 0.0732645i −0.471855 + 0.00307411i
\(569\) 19.5447 + 29.2507i 0.819357 + 1.22626i 0.971298 + 0.237865i \(0.0764477\pi\)
−0.151941 + 0.988390i \(0.548552\pi\)
\(570\) 6.43248 + 3.42029i 0.269427 + 0.143260i
\(571\) 34.5546 28.3582i 1.44607 1.18676i 0.498627 0.866817i \(-0.333838\pi\)
0.947438 0.319938i \(-0.103662\pi\)
\(572\) −2.63941 2.61659i −0.110359 0.109405i
\(573\) 5.41235 + 10.1258i 0.226104 + 0.423011i
\(574\) 26.8771 18.0433i 1.12183 0.753111i
\(575\) 5.35083i 0.223145i
\(576\) −7.86595 1.45836i −0.327748 0.0607649i
\(577\) 39.2847i 1.63544i −0.575615 0.817721i \(-0.695237\pi\)
0.575615 0.817721i \(-0.304763\pi\)
\(578\) −10.9961 16.3798i −0.457379 0.681308i
\(579\) 7.98134 + 14.9320i 0.331693 + 0.620555i
\(580\) 5.10372 0.0221668i 0.211920 0.000920428i
\(581\) −12.4670 + 10.2314i −0.517217 + 0.424469i
\(582\) 11.2876 21.2284i 0.467886 0.879945i
\(583\) 5.37232 + 8.04024i 0.222499 + 0.332993i
\(584\) 33.4901 14.1284i 1.38583 0.584636i
\(585\) 3.83516 + 2.56257i 0.158564 + 0.105949i
\(586\) −10.4142 + 34.6013i −0.430206 + 1.42937i
\(587\) 0.701223 + 2.31162i 0.0289426 + 0.0954109i 0.970222 0.242218i \(-0.0778750\pi\)
−0.941279 + 0.337629i \(0.890375\pi\)
\(588\) −0.933341 + 3.12562i −0.0384903 + 0.128898i
\(589\) −11.4132 + 13.9071i −0.470275 + 0.573031i
\(590\) −0.728762 + 1.77025i −0.0300027 + 0.0728801i
\(591\) −6.13923 + 14.8214i −0.252534 + 0.609671i
\(592\) −1.66904 1.99808i −0.0685971 0.0821207i
\(593\) 0.490048 + 1.18308i 0.0201239 + 0.0485833i 0.933622 0.358259i \(-0.116630\pi\)
−0.913498 + 0.406843i \(0.866630\pi\)
\(594\) 1.09407 0.00237591i 0.0448903 9.74848e-5i
\(595\) 24.6341 2.42624i 1.00990 0.0994663i
\(596\) −11.1704 + 9.24881i −0.457558 + 0.378846i
\(597\) −8.59159 4.59230i −0.351630 0.187950i
\(598\) 8.76116 10.7229i 0.358271 0.438492i
\(599\) 1.37958 + 6.93559i 0.0563679 + 0.283381i 0.998681 0.0513535i \(-0.0163535\pi\)
−0.942313 + 0.334734i \(0.891354\pi\)
\(600\) −3.55994 1.05462i −0.145334 0.0430546i
\(601\) 14.2062 + 2.82579i 0.579482 + 0.115266i 0.476124 0.879378i \(-0.342041\pi\)
0.103358 + 0.994644i \(0.467041\pi\)
\(602\) −1.34348 + 13.9511i −0.0547560 + 0.568603i
\(603\) 7.70139 + 0.758521i 0.313625 + 0.0308894i
\(604\) −37.5373 7.29729i −1.52737 0.296922i
\(605\) −19.1133 5.79795i −0.777065 0.235720i
\(606\) 18.2655 3.67448i 0.741984 0.149266i
\(607\) 1.46066 1.46066i 0.0592862 0.0592862i −0.676842 0.736128i \(-0.736652\pi\)
0.736128 + 0.676842i \(0.236652\pi\)
\(608\) −9.75423 11.6258i −0.395586 0.471489i
\(609\) −2.17740 2.17740i −0.0882327 0.0882327i
\(610\) 13.9313 + 9.26493i 0.564064 + 0.375126i
\(611\) 2.83620 9.34969i 0.114740 0.378248i
\(612\) −6.14135 + 9.27816i −0.248249 + 0.375047i
\(613\) 1.65639 16.8177i 0.0669012 0.679259i −0.901988 0.431762i \(-0.857892\pi\)
0.968889 0.247497i \(-0.0796080\pi\)
\(614\) 2.28943 + 2.77735i 0.0923937 + 0.112085i
\(615\) 3.70081 18.6052i 0.149231 0.750234i
\(616\) 1.50337 + 4.84217i 0.0605726 + 0.195096i
\(617\) 1.60305 0.318866i 0.0645364 0.0128371i −0.162717 0.986673i \(-0.552026\pi\)
0.227253 + 0.973836i \(0.427026\pi\)
\(618\) −4.78515 + 0.481791i −0.192487 + 0.0193805i
\(619\) −7.37466 + 13.7970i −0.296413 + 0.554549i −0.985406 0.170218i \(-0.945553\pi\)
0.688994 + 0.724767i \(0.258053\pi\)
\(620\) −12.0420 + 22.7663i −0.483618 + 0.914315i
\(621\) 0.399539 + 4.05659i 0.0160329 + 0.162785i
\(622\) 12.7441 12.7995i 0.510990 0.513214i
\(623\) 10.1648 4.21040i 0.407244 0.168686i
\(624\) −5.40723 7.94227i −0.216463 0.317945i
\(625\) 15.4411 + 6.39592i 0.617644 + 0.255837i
\(626\) 30.7139 12.8003i 1.22758 0.511604i
\(627\) 1.60433 + 1.31664i 0.0640707 + 0.0525815i
\(628\) 14.8988 18.3159i 0.594527 0.730883i
\(629\) −3.46504 + 1.05111i −0.138160 + 0.0419104i
\(630\) −2.97826 5.54294i −0.118657 0.220836i
\(631\) 24.3305 36.4132i 0.968583 1.44959i 0.0768411 0.997043i \(-0.475517\pi\)
0.891742 0.452544i \(-0.149483\pi\)
\(632\) 9.11585 + 13.4523i 0.362609 + 0.535103i
\(633\) −16.9055 + 11.2959i −0.671933 + 0.448971i
\(634\) −12.8209 + 3.91960i −0.509183 + 0.155667i
\(635\) −24.2912 29.5989i −0.963965 1.17459i
\(636\) 9.66690 + 23.0542i 0.383317 + 0.914160i
\(637\) −3.45514 + 1.84681i −0.136898 + 0.0731734i
\(638\) 1.42664 + 0.280556i 0.0564811 + 0.0111073i
\(639\) 3.97600 0.157288
\(640\) −17.0012 13.5253i −0.672031 0.534635i
\(641\) 23.5722 0.931048 0.465524 0.885035i \(-0.345866\pi\)
0.465524 + 0.885035i \(0.345866\pi\)
\(642\) −3.24381 0.637914i −0.128023 0.0251764i
\(643\) −26.7661 + 14.3068i −1.05555 + 0.564204i −0.905444 0.424465i \(-0.860462\pi\)
−0.150108 + 0.988670i \(0.547962\pi\)
\(644\) −17.4206 + 7.30465i −0.686468 + 0.287844i
\(645\) 5.21030 + 6.34877i 0.205155 + 0.249983i
\(646\) −20.1846 + 6.17083i −0.794153 + 0.242788i
\(647\) −35.8888 + 23.9801i −1.41093 + 0.942755i −0.411424 + 0.911444i \(0.634968\pi\)
−0.999510 + 0.0313112i \(0.990032\pi\)
\(648\) 2.77762 + 0.533714i 0.109115 + 0.0209663i
\(649\) −0.302992 + 0.453460i −0.0118935 + 0.0177998i
\(650\) −2.11061 3.92814i −0.0827851 0.154074i
\(651\) 14.8698 4.51071i 0.582795 0.176789i
\(652\) −7.67005 6.23909i −0.300382 0.244342i
\(653\) −20.4056 16.7465i −0.798534 0.655340i 0.143952 0.989585i \(-0.454019\pi\)
−0.942486 + 0.334245i \(0.891519\pi\)
\(654\) 6.52723 2.72029i 0.255235 0.106372i
\(655\) −38.6917 16.0266i −1.51181 0.626212i
\(656\) −21.6673 + 33.0453i −0.845968 + 1.29020i
\(657\) −11.8728 + 4.91788i −0.463203 + 0.191865i
\(658\) −9.40440 + 9.44533i −0.366621 + 0.368217i
\(659\) −1.61618 16.4093i −0.0629574 0.639217i −0.973945 0.226784i \(-0.927179\pi\)
0.910988 0.412433i \(-0.135321\pi\)
\(660\) 2.62633 + 1.38917i 0.102230 + 0.0540733i
\(661\) −1.23372 + 2.30813i −0.0479862 + 0.0897759i −0.904771 0.425898i \(-0.859958\pi\)
0.856785 + 0.515674i \(0.172458\pi\)
\(662\) 42.2043 4.24932i 1.64032 0.165154i
\(663\) −13.1065 + 2.60705i −0.509016 + 0.101250i
\(664\) 9.16695 17.4222i 0.355747 0.676114i
\(665\) 2.32870 11.7072i 0.0903031 0.453984i
\(666\) 0.585480 + 0.710258i 0.0226869 + 0.0275220i
\(667\) −0.530965 + 5.39097i −0.0205590 + 0.208739i
\(668\) 18.1440 + 12.0098i 0.702011 + 0.464671i
\(669\) 2.30753 7.60691i 0.0892143 0.294100i
\(670\) 17.4989 + 11.6375i 0.676041 + 0.449595i
\(671\) 3.37027 + 3.37027i 0.130108 + 0.130108i
\(672\) 1.42632 + 13.0297i 0.0550217 + 0.502632i
\(673\) 21.9818 21.9818i 0.847337 0.847337i −0.142463 0.989800i \(-0.545502\pi\)
0.989800 + 0.142463i \(0.0455023\pi\)
\(674\) −2.77101 + 0.557447i −0.106735 + 0.0214720i
\(675\) 1.25617 + 0.381056i 0.0483501 + 0.0146668i
\(676\) −2.75943 + 14.1945i −0.106132 + 0.545944i
\(677\) −40.7515 4.01368i −1.56621 0.154258i −0.722619 0.691246i \(-0.757062\pi\)
−0.843590 + 0.536988i \(0.819562\pi\)
\(678\) −0.0315577 + 0.327705i −0.00121197 + 0.0125854i
\(679\) −38.6358 7.68514i −1.48271 0.294929i
\(680\) −26.5544 + 14.4168i −1.01831 + 0.552860i
\(681\) −3.98842 20.0512i −0.152837 0.768362i
\(682\) −4.64224 + 5.68170i −0.177761 + 0.217564i
\(683\) −12.1659 6.50280i −0.465515 0.248823i 0.221926 0.975064i \(-0.428766\pi\)
−0.687440 + 0.726241i \(0.741266\pi\)
\(684\) 3.42179 + 4.13273i 0.130835 + 0.158019i
\(685\) −36.3484 + 3.58001i −1.38880 + 0.136785i
\(686\) 28.2828 0.0614195i 1.07984 0.00234501i
\(687\) 7.54281 + 18.2100i 0.287776 + 0.694753i
\(688\) −5.10834 16.3280i −0.194753 0.622498i
\(689\) −11.4898 + 27.7389i −0.437728 + 1.05677i
\(690\) −4.21388 + 10.2360i −0.160420 + 0.389679i
\(691\) 18.7989 22.9065i 0.715145 0.871406i −0.280948 0.959723i \(-0.590649\pi\)
0.996092 + 0.0883169i \(0.0281488\pi\)
\(692\) 4.30787 + 1.28637i 0.163761 + 0.0489006i
\(693\) −0.520358 1.71539i −0.0197668 0.0651623i
\(694\) −9.91140 + 32.9308i −0.376231 + 1.25003i
\(695\) −20.2279 13.5158i −0.767286 0.512684i
\(696\) 3.48199 + 1.41578i 0.131985 + 0.0536651i
\(697\) 30.5335 + 45.6966i 1.15654 + 1.73088i
\(698\) −15.1189 + 28.4338i −0.572259 + 1.07624i
\(699\) 12.2792 10.0773i 0.464444 0.381159i
\(700\) 0.0264213 + 6.08327i 0.000998631 + 0.229926i
\(701\) −8.50790 15.9172i −0.321339 0.601183i 0.668445 0.743762i \(-0.266960\pi\)
−0.989783 + 0.142579i \(0.954460\pi\)
\(702\) 1.89341 + 2.82041i 0.0714622 + 0.106450i
\(703\) 1.74610i 0.0658553i
\(704\) −3.98827 4.73261i −0.150314 0.178367i
\(705\) 7.81059i 0.294164i
\(706\) −14.0008 + 9.39907i −0.526926 + 0.353739i
\(707\) −14.3901 26.9220i −0.541196 1.01251i
\(708\) −0.992616 + 1.00128i −0.0373048 + 0.0376303i
\(709\) −11.8669 + 9.73892i −0.445671 + 0.365753i −0.830298 0.557319i \(-0.811830\pi\)
0.384627 + 0.923072i \(0.374330\pi\)
\(710\) 9.53342 + 5.06913i 0.357783 + 0.190241i
\(711\) −3.19189 4.77699i −0.119705 0.179151i
\(712\) −9.43450 + 9.55824i −0.353573 + 0.358210i
\(713\) −22.7289 15.1869i −0.851203 0.568755i
\(714\) 17.4567 + 5.25407i 0.653301 + 0.196629i
\(715\) 1.03584 + 3.41471i 0.0387382 + 0.127703i
\(716\) 23.6640 12.7811i 0.884367 0.477654i
\(717\) −7.68073 + 9.35899i −0.286842 + 0.349518i
\(718\) 12.4723 + 5.13448i 0.465461 + 0.191617i
\(719\) 5.20479 12.5655i 0.194106 0.468613i −0.796621 0.604479i \(-0.793382\pi\)
0.990727 + 0.135866i \(0.0433815\pi\)
\(720\) 5.97955 + 4.82098i 0.222845 + 0.179667i
\(721\) 3.01548 + 7.28002i 0.112303 + 0.271122i
\(722\) −0.0362485 16.6919i −0.00134903 0.621208i
\(723\) 1.35109 0.133070i 0.0502474 0.00494894i
\(724\) −1.48334 + 15.7621i −0.0551277 + 0.585793i
\(725\) 1.53851 + 0.822352i 0.0571389 + 0.0305414i
\(726\) −11.3912 9.30717i −0.422766 0.345422i
\(727\) 5.49311 + 27.6157i 0.203728 + 1.02421i 0.938337 + 0.345721i \(0.112366\pi\)
−0.734609 + 0.678491i \(0.762634\pi\)
\(728\) −9.90747 + 12.2339i −0.367195 + 0.453420i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −34.7379 3.34523i −1.28571 0.123813i
\(731\) −23.6802 2.33229i −0.875843 0.0862630i
\(732\) 6.89013 + 10.2155i 0.254666 + 0.377575i
\(733\) −2.02255 0.613535i −0.0747047 0.0226614i 0.252711 0.967542i \(-0.418678\pi\)
−0.327416 + 0.944880i \(0.606178\pi\)
\(734\) 8.44872 + 41.9977i 0.311848 + 1.55016i
\(735\) 2.21459 2.21459i 0.0816863 0.0816863i
\(736\) 16.1269 16.4809i 0.594444 0.607495i
\(737\) 4.23333 + 4.23333i 0.155937 + 0.155937i
\(738\) 7.73652 11.6331i 0.284785 0.428221i
\(739\) 13.9553 46.0044i 0.513353 1.69230i −0.190275 0.981731i \(-0.560938\pi\)
0.703628 0.710568i \(-0.251562\pi\)
\(740\) 0.498297 + 2.44946i 0.0183178 + 0.0900440i
\(741\) −0.631628 + 6.41303i −0.0232034 + 0.235588i
\(742\) 31.6055 26.0530i 1.16027 0.956437i
\(743\) −3.56605 + 17.9277i −0.130826 + 0.657705i 0.858598 + 0.512650i \(0.171336\pi\)
−0.989424 + 0.145055i \(0.953664\pi\)
\(744\) −14.5837 + 12.1284i −0.534664 + 0.444648i
\(745\) 13.6564 2.71643i 0.500333 0.0995224i
\(746\) 1.10047 + 10.9299i 0.0402912 + 0.400172i
\(747\) −3.28107 + 6.13845i −0.120048 + 0.224594i
\(748\) −8.22623 + 2.53447i −0.300781 + 0.0926693i
\(749\) 0.530919 + 5.39051i 0.0193994 + 0.196965i
\(750\) 12.1482 + 12.0955i 0.443588 + 0.441666i
\(751\) 22.8622 9.46982i 0.834252 0.345559i 0.0756676 0.997133i \(-0.475891\pi\)
0.758585 + 0.651575i \(0.225891\pi\)
\(752\) 6.09548 15.0851i 0.222279 0.550097i
\(753\) 19.7719 + 8.18980i 0.720529 + 0.298453i
\(754\) 1.73666 + 4.16704i 0.0632453 + 0.151755i
\(755\) 28.3810 + 23.2917i 1.03289 + 0.847671i
\(756\) −0.474259 4.60989i −0.0172486 0.167660i
\(757\) 32.8521 9.96557i 1.19403 0.362205i 0.370151 0.928972i \(-0.379306\pi\)
0.823878 + 0.566767i \(0.191806\pi\)
\(758\) −6.23112 + 3.34802i −0.226325 + 0.121606i
\(759\) −1.75197 + 2.62201i −0.0635926 + 0.0951730i
\(760\) 2.93561 + 14.2718i 0.106486 + 0.517691i
\(761\) 38.7401 25.8853i 1.40433 0.938342i 0.404612 0.914489i \(-0.367407\pi\)
0.999715 0.0238530i \(-0.00759338\pi\)
\(762\) −8.24463 26.9679i −0.298672 0.976946i
\(763\) −7.35014 8.95617i −0.266093 0.324235i
\(764\) −8.69535 + 21.2531i −0.314587 + 0.768908i
\(765\) 9.42140 5.03584i 0.340631 0.182071i
\(766\) −6.08418 + 30.9382i −0.219830 + 1.11784i
\(767\) −1.69334 −0.0611429
\(768\) −7.78634 13.9776i −0.280965 0.504373i
\(769\) −50.9128 −1.83596 −0.917982 0.396623i \(-0.870182\pi\)
−0.917982 + 0.396623i \(0.870182\pi\)
\(770\) 0.939323 4.77648i 0.0338508 0.172132i
\(771\) −18.7306 + 10.0117i −0.674568 + 0.360564i
\(772\) −12.8226 + 31.3409i −0.461497 + 1.12798i
\(773\) −5.93005 7.22579i −0.213289 0.259894i