Properties

Label 225.2.q.a.211.6
Level $225$
Weight $2$
Character 225.211
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 211.6
Character \(\chi\) \(=\) 225.211
Dual form 225.2.q.a.16.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.76509 - 0.785867i) q^{2} +(-1.27173 + 1.17589i) q^{3} +(1.15968 + 1.28795i) q^{4} +(-0.197349 - 2.22734i) q^{5} +(3.16880 - 1.07614i) q^{6} +(1.35187 + 2.34151i) q^{7} +(0.159347 + 0.490420i) q^{8} +(0.234573 - 2.99082i) q^{9} +O(q^{10})\) \(q+(-1.76509 - 0.785867i) q^{2} +(-1.27173 + 1.17589i) q^{3} +(1.15968 + 1.28795i) q^{4} +(-0.197349 - 2.22734i) q^{5} +(3.16880 - 1.07614i) q^{6} +(1.35187 + 2.34151i) q^{7} +(0.159347 + 0.490420i) q^{8} +(0.234573 - 2.99082i) q^{9} +(-1.40206 + 4.08654i) q^{10} +(-0.748543 - 0.333273i) q^{11} +(-2.98929 - 0.274272i) q^{12} +(-2.49560 + 1.11111i) q^{13} +(-0.546054 - 5.19535i) q^{14} +(2.87008 + 2.60051i) q^{15} +(0.466463 - 4.43810i) q^{16} +(-2.45676 - 7.56113i) q^{17} +(-2.76442 + 5.09470i) q^{18} +(-2.21677 - 6.82252i) q^{19} +(2.63985 - 2.83718i) q^{20} +(-4.47256 - 1.38811i) q^{21} +(1.05934 + 1.17651i) q^{22} +(-0.215497 - 2.05032i) q^{23} +(-0.779325 - 0.436305i) q^{24} +(-4.92211 + 0.879126i) q^{25} +5.27814 q^{26} +(3.21855 + 4.07933i) q^{27} +(-1.44802 + 4.45655i) q^{28} +(-5.45784 + 1.16010i) q^{29} +(-3.02228 - 6.84562i) q^{30} +(6.92035 + 1.47097i) q^{31} +(-3.79544 + 6.57390i) q^{32} +(1.34383 - 0.456372i) q^{33} +(-1.60565 + 15.2767i) q^{34} +(4.94855 - 3.47317i) q^{35} +(4.12406 - 3.16627i) q^{36} +(-1.38079 - 1.00320i) q^{37} +(-1.44880 + 13.7844i) q^{38} +(1.86718 - 4.34758i) q^{39} +(1.06089 - 0.451704i) q^{40} +(1.64566 - 0.732693i) q^{41} +(6.80359 + 5.96497i) q^{42} +(-4.43594 - 7.68327i) q^{43} +(-0.438830 - 1.35058i) q^{44} +(-6.70786 + 0.0677586i) q^{45} +(-1.23091 + 3.78834i) q^{46} +(-3.05932 + 0.650279i) q^{47} +(4.62549 + 6.19255i) q^{48} +(-0.155110 + 0.268659i) q^{49} +(9.37882 + 2.31639i) q^{50} +(12.0154 + 6.72681i) q^{51} +(-4.32516 - 1.92569i) q^{52} +(0.613099 - 1.88692i) q^{53} +(-2.47521 - 9.72972i) q^{54} +(-0.594589 + 1.73303i) q^{55} +(-0.932906 + 1.03610i) q^{56} +(10.8416 + 6.06970i) q^{57} +(10.5452 + 2.24146i) q^{58} +(3.67181 - 1.63480i) q^{59} +(-0.0209650 + 6.71229i) q^{60} +(2.29219 + 1.02055i) q^{61} +(-11.0590 - 8.03486i) q^{62} +(7.32013 - 3.49394i) q^{63} +(4.64494 - 3.37475i) q^{64} +(2.96733 + 5.33928i) q^{65} +(-2.73063 - 0.250539i) q^{66} +(-5.67625 - 1.20652i) q^{67} +(6.88934 - 11.9327i) q^{68} +(2.68500 + 2.35404i) q^{69} +(-11.4641 + 2.24155i) q^{70} +(-3.34762 + 10.3029i) q^{71} +(1.50413 - 0.361538i) q^{72} +(12.1616 - 8.83593i) q^{73} +(1.64883 + 2.85586i) q^{74} +(5.22582 - 6.90586i) q^{75} +(6.21635 - 10.7670i) q^{76} +(-0.231572 - 2.20326i) q^{77} +(-6.71234 + 6.20650i) q^{78} +(6.97559 - 1.48271i) q^{79} +(-9.97722 - 0.163120i) q^{80} +(-8.88995 - 1.40313i) q^{81} -3.48052 q^{82} +(1.78998 - 1.98798i) q^{83} +(-3.39892 - 7.37022i) q^{84} +(-16.3564 + 6.96422i) q^{85} +(1.79178 + 17.0477i) q^{86} +(5.57673 - 7.89315i) q^{87} +(0.0441655 - 0.420207i) q^{88} +(-8.19461 + 5.95373i) q^{89} +(11.8932 + 5.15189i) q^{90} +(-5.97541 - 4.34139i) q^{91} +(2.39081 - 2.65526i) q^{92} +(-10.5305 + 6.26690i) q^{93} +(5.91100 + 1.25642i) q^{94} +(-14.7586 + 6.28392i) q^{95} +(-2.90341 - 12.8232i) q^{96} +(-5.78117 + 1.22883i) q^{97} +(0.484914 - 0.352310i) q^{98} +(-1.17235 + 2.16058i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.76509 0.785867i −1.24810 0.555692i −0.327006 0.945022i \(-0.606040\pi\)
−0.921098 + 0.389331i \(0.872706\pi\)
\(3\) −1.27173 + 1.17589i −0.734231 + 0.678899i
\(4\) 1.15968 + 1.28795i 0.579840 + 0.643977i
\(5\) −0.197349 2.22734i −0.0882570 0.996098i
\(6\) 3.16880 1.07614i 1.29366 0.439331i
\(7\) 1.35187 + 2.34151i 0.510959 + 0.885007i 0.999919 + 0.0127012i \(0.00404302\pi\)
−0.488960 + 0.872306i \(0.662624\pi\)
\(8\) 0.159347 + 0.490420i 0.0563377 + 0.173390i
\(9\) 0.234573 2.99082i 0.0781911 0.996938i
\(10\) −1.40206 + 4.08654i −0.443369 + 1.29228i
\(11\) −0.748543 0.333273i −0.225694 0.100486i 0.290774 0.956792i \(-0.406087\pi\)
−0.516469 + 0.856306i \(0.672754\pi\)
\(12\) −2.98929 0.274272i −0.862932 0.0791754i
\(13\) −2.49560 + 1.11111i −0.692155 + 0.308167i −0.722499 0.691372i \(-0.757007\pi\)
0.0303436 + 0.999540i \(0.490340\pi\)
\(14\) −0.546054 5.19535i −0.145939 1.38852i
\(15\) 2.87008 + 2.60051i 0.741051 + 0.671448i
\(16\) 0.466463 4.43810i 0.116616 1.10952i
\(17\) −2.45676 7.56113i −0.595852 1.83384i −0.550440 0.834875i \(-0.685540\pi\)
−0.0454115 0.998968i \(-0.514460\pi\)
\(18\) −2.76442 + 5.09470i −0.651581 + 1.20083i
\(19\) −2.21677 6.82252i −0.508562 1.56519i −0.794698 0.607005i \(-0.792371\pi\)
0.286136 0.958189i \(-0.407629\pi\)
\(20\) 2.63985 2.83718i 0.590289 0.634413i
\(21\) −4.47256 1.38811i −0.975993 0.302910i
\(22\) 1.05934 + 1.17651i 0.225851 + 0.250833i
\(23\) −0.215497 2.05032i −0.0449343 0.427521i −0.993745 0.111675i \(-0.964378\pi\)
0.948811 0.315846i \(-0.102288\pi\)
\(24\) −0.779325 0.436305i −0.159079 0.0890604i
\(25\) −4.92211 + 0.879126i −0.984421 + 0.175825i
\(26\) 5.27814 1.03513
\(27\) 3.21855 + 4.07933i 0.619411 + 0.785067i
\(28\) −1.44802 + 4.45655i −0.273650 + 0.842209i
\(29\) −5.45784 + 1.16010i −1.01350 + 0.215425i −0.684583 0.728935i \(-0.740016\pi\)
−0.328913 + 0.944360i \(0.606682\pi\)
\(30\) −3.02228 6.84562i −0.551791 1.24983i
\(31\) 6.92035 + 1.47097i 1.24293 + 0.264193i 0.782021 0.623253i \(-0.214189\pi\)
0.460912 + 0.887446i \(0.347523\pi\)
\(32\) −3.79544 + 6.57390i −0.670946 + 1.16211i
\(33\) 1.34383 0.456372i 0.233931 0.0794441i
\(34\) −1.60565 + 15.2767i −0.275366 + 2.61994i
\(35\) 4.94855 3.47317i 0.836458 0.587073i
\(36\) 4.12406 3.16627i 0.687344 0.527711i
\(37\) −1.38079 1.00320i −0.227001 0.164926i 0.468472 0.883479i \(-0.344805\pi\)
−0.695472 + 0.718553i \(0.744805\pi\)
\(38\) −1.44880 + 13.7844i −0.235027 + 2.23613i
\(39\) 1.86718 4.34758i 0.298987 0.696170i
\(40\) 1.06089 0.451704i 0.167741 0.0714207i
\(41\) 1.64566 0.732693i 0.257008 0.114427i −0.274188 0.961676i \(-0.588409\pi\)
0.531197 + 0.847249i \(0.321743\pi\)
\(42\) 6.80359 + 5.96497i 1.04982 + 0.920415i
\(43\) −4.43594 7.68327i −0.676474 1.17169i −0.976036 0.217611i \(-0.930174\pi\)
0.299562 0.954077i \(-0.403160\pi\)
\(44\) −0.438830 1.35058i −0.0661561 0.203608i
\(45\) −6.70786 + 0.0677586i −0.999949 + 0.0101009i
\(46\) −1.23091 + 3.78834i −0.181487 + 0.558560i
\(47\) −3.05932 + 0.650279i −0.446248 + 0.0948529i −0.425554 0.904933i \(-0.639921\pi\)
−0.0206937 + 0.999786i \(0.506587\pi\)
\(48\) 4.62549 + 6.19255i 0.667633 + 0.893818i
\(49\) −0.155110 + 0.268659i −0.0221586 + 0.0383799i
\(50\) 9.37882 + 2.31639i 1.32636 + 0.327587i
\(51\) 12.0154 + 6.72681i 1.68249 + 0.941941i
\(52\) −4.32516 1.92569i −0.599792 0.267045i
\(53\) 0.613099 1.88692i 0.0842156 0.259189i −0.900078 0.435729i \(-0.856491\pi\)
0.984293 + 0.176540i \(0.0564906\pi\)
\(54\) −2.47521 9.72972i −0.336833 1.32405i
\(55\) −0.594589 + 1.73303i −0.0801744 + 0.233682i
\(56\) −0.932906 + 1.03610i −0.124665 + 0.138454i
\(57\) 10.8416 + 6.06970i 1.43601 + 0.803951i
\(58\) 10.5452 + 2.24146i 1.38466 + 0.294318i
\(59\) 3.67181 1.63480i 0.478029 0.212832i −0.153554 0.988140i \(-0.549072\pi\)
0.631584 + 0.775308i \(0.282405\pi\)
\(60\) −0.0209650 + 6.71229i −0.00270657 + 0.866553i
\(61\) 2.29219 + 1.02055i 0.293485 + 0.130668i 0.548198 0.836349i \(-0.315314\pi\)
−0.254712 + 0.967017i \(0.581981\pi\)
\(62\) −11.0590 8.03486i −1.40450 1.02043i
\(63\) 7.32013 3.49394i 0.922250 0.440195i
\(64\) 4.64494 3.37475i 0.580618 0.421843i
\(65\) 2.96733 + 5.33928i 0.368052 + 0.662256i
\(66\) −2.73063 0.250539i −0.336117 0.0308393i
\(67\) −5.67625 1.20652i −0.693465 0.147400i −0.152322 0.988331i \(-0.548675\pi\)
−0.541143 + 0.840931i \(0.682008\pi\)
\(68\) 6.88934 11.9327i 0.835455 1.44705i
\(69\) 2.68500 + 2.35404i 0.323236 + 0.283393i
\(70\) −11.4641 + 2.24155i −1.37022 + 0.267916i
\(71\) −3.34762 + 10.3029i −0.397290 + 1.22273i 0.529874 + 0.848076i \(0.322239\pi\)
−0.927164 + 0.374656i \(0.877761\pi\)
\(72\) 1.50413 0.361538i 0.177264 0.0426077i
\(73\) 12.1616 8.83593i 1.42341 1.03417i 0.432213 0.901771i \(-0.357733\pi\)
0.991197 0.132396i \(-0.0422672\pi\)
\(74\) 1.64883 + 2.85586i 0.191673 + 0.331987i
\(75\) 5.22582 6.90586i 0.603425 0.797420i
\(76\) 6.21635 10.7670i 0.713065 1.23506i
\(77\) −0.231572 2.20326i −0.0263901 0.251085i
\(78\) −6.71234 + 6.20650i −0.760023 + 0.702748i
\(79\) 6.97559 1.48271i 0.784815 0.166818i 0.201960 0.979394i \(-0.435269\pi\)
0.582855 + 0.812576i \(0.301936\pi\)
\(80\) −9.97722 0.163120i −1.11549 0.0182373i
\(81\) −8.88995 1.40313i −0.987772 0.155903i
\(82\) −3.48052 −0.384359
\(83\) 1.78998 1.98798i 0.196476 0.218209i −0.636854 0.770984i \(-0.719765\pi\)
0.833330 + 0.552775i \(0.186431\pi\)
\(84\) −3.39892 7.37022i −0.370852 0.804157i
\(85\) −16.3564 + 6.96422i −1.77410 + 0.755376i
\(86\) 1.79178 + 17.0477i 0.193213 + 1.83830i
\(87\) 5.57673 7.89315i 0.597889 0.846234i
\(88\) 0.0441655 0.420207i 0.00470806 0.0447942i
\(89\) −8.19461 + 5.95373i −0.868627 + 0.631094i −0.930218 0.367007i \(-0.880382\pi\)
0.0615912 + 0.998101i \(0.480382\pi\)
\(90\) 11.8932 + 5.15189i 1.25365 + 0.543056i
\(91\) −5.97541 4.34139i −0.626393 0.455101i
\(92\) 2.39081 2.65526i 0.249259 0.276830i
\(93\) −10.5305 + 6.26690i −1.09196 + 0.649847i
\(94\) 5.91100 + 1.25642i 0.609673 + 0.129590i
\(95\) −14.7586 + 6.28392i −1.51420 + 0.644717i
\(96\) −2.90341 12.8232i −0.296328 1.30876i
\(97\) −5.78117 + 1.22883i −0.586989 + 0.124768i −0.491826 0.870693i \(-0.663670\pi\)
−0.0951626 + 0.995462i \(0.530337\pi\)
\(98\) 0.484914 0.352310i 0.0489837 0.0355887i
\(99\) −1.17235 + 2.16058i −0.117825 + 0.217146i
\(100\) −6.84034 5.31995i −0.684034 0.531995i
\(101\) 4.27666 + 7.40739i 0.425544 + 0.737063i 0.996471 0.0839375i \(-0.0267496\pi\)
−0.570927 + 0.821000i \(0.693416\pi\)
\(102\) −15.9218 21.3159i −1.57649 2.11059i
\(103\) 0.723748 + 0.803804i 0.0713130 + 0.0792011i 0.777745 0.628579i \(-0.216363\pi\)
−0.706432 + 0.707780i \(0.749697\pi\)
\(104\) −0.942578 1.04684i −0.0924274 0.102651i
\(105\) −2.20914 + 10.2359i −0.215590 + 0.998919i
\(106\) −2.56504 + 2.84877i −0.249139 + 0.276697i
\(107\) −11.2196 −1.08464 −0.542321 0.840171i \(-0.682455\pi\)
−0.542321 + 0.840171i \(0.682455\pi\)
\(108\) −1.52150 + 8.87606i −0.146407 + 0.854100i
\(109\) −5.51708 4.00840i −0.528441 0.383935i 0.291333 0.956622i \(-0.405901\pi\)
−0.819774 + 0.572687i \(0.805901\pi\)
\(110\) 2.41143 2.59168i 0.229921 0.247107i
\(111\) 2.93565 0.347857i 0.278639 0.0330171i
\(112\) 11.0224 4.90751i 1.04152 0.463716i
\(113\) 10.0257 4.46373i 0.943139 0.419912i 0.123212 0.992380i \(-0.460681\pi\)
0.819927 + 0.572468i \(0.194014\pi\)
\(114\) −14.3665 19.2336i −1.34554 1.80139i
\(115\) −4.52423 + 0.884614i −0.421887 + 0.0824907i
\(116\) −7.82351 5.68411i −0.726394 0.527756i
\(117\) 2.73773 + 7.72452i 0.253103 + 0.714132i
\(118\) −7.76580 −0.714900
\(119\) 14.3832 15.9742i 1.31851 1.46435i
\(120\) −0.818002 + 1.82193i −0.0746730 + 0.166318i
\(121\) −6.91119 7.67565i −0.628290 0.697787i
\(122\) −3.24390 3.60272i −0.293689 0.326175i
\(123\) −1.23126 + 2.86689i −0.111019 + 0.258499i
\(124\) 6.13085 + 10.6190i 0.550567 + 0.953610i
\(125\) 2.92949 + 10.7897i 0.262021 + 0.965062i
\(126\) −15.6664 + 0.414455i −1.39568 + 0.0369226i
\(127\) 3.49392 2.53848i 0.310035 0.225254i −0.421876 0.906653i \(-0.638628\pi\)
0.731912 + 0.681400i \(0.238628\pi\)
\(128\) 3.99919 0.850054i 0.353482 0.0751349i
\(129\) 14.6760 + 4.55484i 1.29215 + 0.401032i
\(130\) −1.04163 11.7562i −0.0913573 1.03109i
\(131\) 9.77474 + 2.07769i 0.854023 + 0.181528i 0.614065 0.789255i \(-0.289533\pi\)
0.239958 + 0.970783i \(0.422866\pi\)
\(132\) 2.14620 + 1.20155i 0.186803 + 0.104582i
\(133\) 12.9782 14.4138i 1.12535 1.24983i
\(134\) 9.07090 + 6.59040i 0.783607 + 0.569324i
\(135\) 8.45088 7.97387i 0.727336 0.686281i
\(136\) 3.31665 2.40969i 0.284400 0.206629i
\(137\) −1.57702 + 15.0043i −0.134734 + 1.28190i 0.693064 + 0.720876i \(0.256260\pi\)
−0.827797 + 0.561027i \(0.810406\pi\)
\(138\) −2.88929 6.26514i −0.245953 0.533324i
\(139\) 1.95191 + 18.5712i 0.165559 + 1.57519i 0.690045 + 0.723766i \(0.257591\pi\)
−0.524486 + 0.851419i \(0.675743\pi\)
\(140\) 10.2120 + 2.34574i 0.863074 + 0.198251i
\(141\) 3.12596 4.42440i 0.263253 0.372601i
\(142\) 14.0056 15.5548i 1.17532 1.30533i
\(143\) 2.23837 0.187182
\(144\) −13.1641 2.43616i −1.09701 0.203014i
\(145\) 3.66104 + 11.9275i 0.304033 + 0.990529i
\(146\) −28.4102 + 6.03877i −2.35124 + 0.499772i
\(147\) −0.118655 0.524054i −0.00978652 0.0432232i
\(148\) −0.309195 2.94179i −0.0254157 0.241814i
\(149\) 4.15919 7.20392i 0.340734 0.590168i −0.643835 0.765164i \(-0.722658\pi\)
0.984569 + 0.174996i \(0.0559912\pi\)
\(150\) −14.6511 + 8.08263i −1.19626 + 0.659944i
\(151\) −4.97506 8.61706i −0.404865 0.701247i 0.589441 0.807812i \(-0.299348\pi\)
−0.994306 + 0.106565i \(0.966015\pi\)
\(152\) 2.99266 2.17430i 0.242737 0.176359i
\(153\) −23.1902 + 5.57408i −1.87482 + 0.450637i
\(154\) −1.32273 + 4.07093i −0.106588 + 0.328045i
\(155\) 1.91062 15.7043i 0.153465 1.26140i
\(156\) 7.76481 2.63696i 0.621682 0.211126i
\(157\) −8.25724 + 14.3020i −0.658999 + 1.14142i 0.321876 + 0.946782i \(0.395687\pi\)
−0.980875 + 0.194638i \(0.937647\pi\)
\(158\) −13.4777 2.86478i −1.07223 0.227909i
\(159\) 1.43912 + 3.12058i 0.114129 + 0.247478i
\(160\) 15.3913 + 7.15640i 1.21679 + 0.565763i
\(161\) 4.50952 3.27636i 0.355400 0.258213i
\(162\) 14.5889 + 9.46296i 1.14621 + 0.743481i
\(163\) 4.87852 + 3.54446i 0.382115 + 0.277623i 0.762217 0.647322i \(-0.224111\pi\)
−0.380101 + 0.924945i \(0.624111\pi\)
\(164\) 2.85211 + 1.26984i 0.222712 + 0.0991579i
\(165\) −1.28170 2.90311i −0.0997802 0.226007i
\(166\) −4.72176 + 2.10226i −0.366480 + 0.163167i
\(167\) 8.11680 + 1.72528i 0.628097 + 0.133506i 0.510953 0.859609i \(-0.329293\pi\)
0.117144 + 0.993115i \(0.462626\pi\)
\(168\) −0.0319338 2.41462i −0.00246375 0.186292i
\(169\) −3.70525 + 4.11509i −0.285019 + 0.316546i
\(170\) 34.3434 + 0.561487i 2.63402 + 0.0430641i
\(171\) −20.9249 + 5.02957i −1.60017 + 0.384621i
\(172\) 4.75144 14.6234i 0.362294 1.11503i
\(173\) −5.37441 2.39284i −0.408609 0.181924i 0.192131 0.981369i \(-0.438460\pi\)
−0.600739 + 0.799445i \(0.705127\pi\)
\(174\) −16.0464 + 9.54951i −1.21647 + 0.723946i
\(175\) −8.71254 10.3367i −0.658606 0.781381i
\(176\) −1.82827 + 3.16665i −0.137811 + 0.238695i
\(177\) −2.74720 + 6.39666i −0.206492 + 0.480802i
\(178\) 19.1430 4.06898i 1.43483 0.304983i
\(179\) −2.86737 + 8.82487i −0.214318 + 0.659602i 0.784884 + 0.619643i \(0.212723\pi\)
−0.999201 + 0.0399587i \(0.987277\pi\)
\(180\) −7.86624 8.56084i −0.586315 0.638088i
\(181\) −1.70671 5.25272i −0.126859 0.390432i 0.867376 0.497653i \(-0.165805\pi\)
−0.994235 + 0.107221i \(0.965805\pi\)
\(182\) 7.13536 + 12.3588i 0.528908 + 0.916096i
\(183\) −4.11509 + 1.39750i −0.304197 + 0.103306i
\(184\) 0.971178 0.432396i 0.0715962 0.0318767i
\(185\) −1.96198 + 3.27348i −0.144248 + 0.240671i
\(186\) 23.5122 2.78605i 1.72399 0.204283i
\(187\) −0.680929 + 6.47860i −0.0497944 + 0.473763i
\(188\) −4.38536 3.18615i −0.319835 0.232374i
\(189\) −5.20072 + 13.0510i −0.378297 + 0.949320i
\(190\) 30.9885 + 0.506638i 2.24814 + 0.0367554i
\(191\) 0.674771 6.42002i 0.0488247 0.464536i −0.942606 0.333906i \(-0.891633\pi\)
0.991431 0.130630i \(-0.0417001\pi\)
\(192\) −1.93877 + 9.75369i −0.139918 + 0.703912i
\(193\) −1.85003 + 3.20434i −0.133168 + 0.230653i −0.924896 0.380220i \(-0.875848\pi\)
0.791728 + 0.610873i \(0.209182\pi\)
\(194\) 11.1700 + 2.37425i 0.801956 + 0.170461i
\(195\) −10.0520 3.30085i −0.719841 0.236379i
\(196\) −0.525899 + 0.111783i −0.0375642 + 0.00798453i
\(197\) 6.74729 20.7660i 0.480724 1.47952i −0.357355 0.933969i \(-0.616321\pi\)
0.838079 0.545549i \(-0.183679\pi\)
\(198\) 3.76722 2.89230i 0.267725 0.205547i
\(199\) 16.3004 1.15550 0.577752 0.816212i \(-0.303930\pi\)
0.577752 + 0.816212i \(0.303930\pi\)
\(200\) −1.21546 2.27381i −0.0859463 0.160783i
\(201\) 8.63737 5.14027i 0.609233 0.362567i
\(202\) −1.72745 16.4356i −0.121543 1.15640i
\(203\) −10.0947 11.2113i −0.708508 0.786878i
\(204\) 5.27015 + 23.2762i 0.368984 + 1.62966i
\(205\) −1.95673 3.52084i −0.136664 0.245906i
\(206\) −0.645795 1.98755i −0.0449947 0.138479i
\(207\) −6.18267 + 0.163562i −0.429726 + 0.0113684i
\(208\) 3.76712 + 11.5940i 0.261203 + 0.803900i
\(209\) −0.614412 + 5.84574i −0.0424998 + 0.404359i
\(210\) 11.9433 16.3311i 0.824169 1.12695i
\(211\) 0.324720 + 3.08951i 0.0223547 + 0.212691i 0.999997 + 0.00241612i \(0.000769075\pi\)
−0.977642 + 0.210274i \(0.932564\pi\)
\(212\) 3.14127 1.39858i 0.215743 0.0960551i
\(213\) −7.85783 17.0389i −0.538410 1.16749i
\(214\) 19.8036 + 8.81714i 1.35375 + 0.602727i
\(215\) −16.2378 + 11.3966i −1.10741 + 0.777244i
\(216\) −1.48772 + 2.22847i −0.101226 + 0.151628i
\(217\) 5.91114 + 18.1926i 0.401275 + 1.23500i
\(218\) 6.58806 + 11.4109i 0.446200 + 0.772841i
\(219\) −5.07617 + 25.5376i −0.343016 + 1.72567i
\(220\) −2.92160 + 1.24396i −0.196974 + 0.0838678i
\(221\) 14.5324 + 16.1398i 0.977552 + 1.08568i
\(222\) −5.45504 1.69303i −0.366118 0.113629i
\(223\) 14.8973 + 6.63273i 0.997600 + 0.444160i 0.839557 0.543272i \(-0.182815\pi\)
0.158043 + 0.987432i \(0.449481\pi\)
\(224\) −20.5238 −1.37130
\(225\) 1.47471 + 14.9273i 0.0983140 + 0.995155i
\(226\) −21.2041 −1.41048
\(227\) −6.12578 2.72737i −0.406583 0.181022i 0.193247 0.981150i \(-0.438098\pi\)
−0.599829 + 0.800128i \(0.704765\pi\)
\(228\) 4.75534 + 21.0025i 0.314930 + 1.39092i
\(229\) −8.22313 9.13271i −0.543400 0.603507i 0.407424 0.913239i \(-0.366427\pi\)
−0.950824 + 0.309732i \(0.899761\pi\)
\(230\) 8.68085 + 1.99403i 0.572398 + 0.131482i
\(231\) 2.88529 + 2.52964i 0.189838 + 0.166438i
\(232\) −1.43863 2.49178i −0.0944505 0.163593i
\(233\) −7.56793 23.2917i −0.495791 1.52589i −0.815720 0.578447i \(-0.803659\pi\)
0.319929 0.947442i \(-0.396341\pi\)
\(234\) 1.23811 15.7859i 0.0809378 1.03196i
\(235\) 2.05215 + 6.68582i 0.133867 + 0.436135i
\(236\) 6.36367 + 2.83329i 0.414240 + 0.184431i
\(237\) −7.12754 + 10.0881i −0.462983 + 0.655293i
\(238\) −37.9412 + 16.8925i −2.45936 + 1.09498i
\(239\) −2.76725 26.3287i −0.178999 1.70306i −0.603280 0.797529i \(-0.706140\pi\)
0.424282 0.905530i \(-0.360527\pi\)
\(240\) 12.8801 11.5247i 0.831407 0.743913i
\(241\) −0.625085 + 5.94729i −0.0402653 + 0.383098i 0.955768 + 0.294121i \(0.0950267\pi\)
−0.996034 + 0.0889779i \(0.971640\pi\)
\(242\) 6.16680 + 18.9795i 0.396417 + 1.22005i
\(243\) 12.9555 8.66919i 0.831096 0.556129i
\(244\) 1.34379 + 4.13575i 0.0860272 + 0.264764i
\(245\) 0.629007 + 0.292465i 0.0401858 + 0.0186849i
\(246\) 4.42627 4.09270i 0.282209 0.260941i
\(247\) 13.1128 + 14.5632i 0.834345 + 0.926635i
\(248\) 0.381347 + 3.62827i 0.0242155 + 0.230396i
\(249\) 0.0612719 + 4.63298i 0.00388295 + 0.293603i
\(250\) 3.30849 21.3470i 0.209247 1.35010i
\(251\) 5.15329 0.325273 0.162636 0.986686i \(-0.448000\pi\)
0.162636 + 0.986686i \(0.448000\pi\)
\(252\) 12.9890 + 5.37615i 0.818233 + 0.338666i
\(253\) −0.522007 + 1.60657i −0.0328183 + 0.101004i
\(254\) −8.16198 + 1.73488i −0.512128 + 0.108856i
\(255\) 12.6117 28.0899i 0.789774 1.75906i
\(256\) −18.9589 4.02985i −1.18493 0.251865i
\(257\) 2.34536 4.06228i 0.146300 0.253398i −0.783558 0.621319i \(-0.786597\pi\)
0.929857 + 0.367921i \(0.119930\pi\)
\(258\) −22.3248 19.5730i −1.38988 1.21856i
\(259\) 0.482359 4.58934i 0.0299723 0.285168i
\(260\) −3.43560 + 10.0136i −0.213067 + 0.621020i
\(261\) 2.18938 + 16.5955i 0.135519 + 1.02724i
\(262\) −15.6205 11.3489i −0.965036 0.701140i
\(263\) −1.16975 + 11.1294i −0.0721298 + 0.686269i 0.897387 + 0.441244i \(0.145463\pi\)
−0.969517 + 0.245025i \(0.921204\pi\)
\(264\) 0.437950 + 0.586321i 0.0269539 + 0.0360856i
\(265\) −4.32382 0.993198i −0.265610 0.0610117i
\(266\) −34.2349 + 15.2424i −2.09908 + 0.934570i
\(267\) 3.42037 17.2075i 0.209323 1.05308i
\(268\) −5.02868 8.70994i −0.307176 0.532044i
\(269\) 1.35264 + 4.16300i 0.0824720 + 0.253823i 0.983787 0.179342i \(-0.0573969\pi\)
−0.901315 + 0.433165i \(0.857397\pi\)
\(270\) −21.1829 + 7.43329i −1.28915 + 0.452376i
\(271\) −2.71988 + 8.37092i −0.165221 + 0.508497i −0.999052 0.0435216i \(-0.986142\pi\)
0.833832 + 0.552019i \(0.186142\pi\)
\(272\) −34.7030 + 7.37635i −2.10418 + 0.447257i
\(273\) 12.7041 1.50536i 0.768886 0.0911084i
\(274\) 14.5749 25.2446i 0.880505 1.52508i
\(275\) 3.97740 + 0.982341i 0.239846 + 0.0592374i
\(276\) 0.0818385 + 6.18809i 0.00492610 + 0.372479i
\(277\) −9.68902 4.31383i −0.582157 0.259193i 0.0944594 0.995529i \(-0.469888\pi\)
−0.676616 + 0.736336i \(0.736554\pi\)
\(278\) 11.1492 34.3136i 0.668683 2.05799i
\(279\) 6.02272 20.3524i 0.360571 1.21847i
\(280\) 2.49185 + 1.87343i 0.148917 + 0.111959i
\(281\) 19.5667 21.7310i 1.16725 1.29636i 0.220135 0.975470i \(-0.429350\pi\)
0.947115 0.320893i \(-0.103983\pi\)
\(282\) −8.99458 + 5.35285i −0.535619 + 0.318757i
\(283\) −5.64494 1.19987i −0.335557 0.0713248i 0.0370520 0.999313i \(-0.488203\pi\)
−0.372609 + 0.927989i \(0.621537\pi\)
\(284\) −17.1519 + 7.63651i −1.01778 + 0.453143i
\(285\) 11.3797 25.3459i 0.674076 1.50136i
\(286\) −3.95091 1.75906i −0.233622 0.104015i
\(287\) 3.94032 + 2.86281i 0.232590 + 0.168986i
\(288\) 18.7710 + 12.8935i 1.10609 + 0.759758i
\(289\) −37.3817 + 27.1594i −2.19892 + 1.59761i
\(290\) 2.91141 23.9302i 0.170964 1.40523i
\(291\) 5.90710 8.36074i 0.346280 0.490115i
\(292\) 25.4839 + 5.41676i 1.49133 + 0.316992i
\(293\) −2.64859 + 4.58748i −0.154732 + 0.268004i −0.932961 0.359976i \(-0.882785\pi\)
0.778229 + 0.627980i \(0.216118\pi\)
\(294\) −0.202400 + 1.01825i −0.0118042 + 0.0593853i
\(295\) −4.36588 7.85576i −0.254191 0.457380i
\(296\) 0.271966 0.837026i 0.0158077 0.0486511i
\(297\) −1.04970 4.12621i −0.0609095 0.239427i
\(298\) −13.0026 + 9.44697i −0.753223 + 0.547248i
\(299\) 2.81593 + 4.87734i 0.162849 + 0.282064i
\(300\) 14.9547 1.27797i 0.863410 0.0737834i
\(301\) 11.9936 20.7736i 0.691301 1.19737i
\(302\) 2.00955 + 19.1196i 0.115637 + 1.10021i
\(303\) −14.1490 4.39130i −0.812839 0.252273i
\(304\) −31.3131 + 6.65580i −1.79593 + 0.381736i
\(305\) 1.82075 5.30690i 0.104256 0.303872i
\(306\) 45.3132 + 8.38571i 2.59038 + 0.479379i
\(307\) 1.36470 0.0778874 0.0389437 0.999241i \(-0.487601\pi\)
0.0389437 + 0.999241i \(0.487601\pi\)
\(308\) 2.56915 2.85333i 0.146391 0.162584i
\(309\) −1.86559 0.171171i −0.106130 0.00973758i
\(310\) −15.7139 + 26.2179i −0.892489 + 1.48908i
\(311\) 1.02447 + 9.74719i 0.0580924 + 0.552712i 0.984400 + 0.175944i \(0.0562979\pi\)
−0.926308 + 0.376768i \(0.877035\pi\)
\(312\) 2.42967 + 0.222926i 0.137553 + 0.0126207i
\(313\) −2.64290 + 25.1455i −0.149385 + 1.42131i 0.621041 + 0.783778i \(0.286710\pi\)
−0.770427 + 0.637529i \(0.779957\pi\)
\(314\) 25.8142 18.7551i 1.45678 1.05841i
\(315\) −9.22682 15.6149i −0.519872 0.879801i
\(316\) 9.99910 + 7.26477i 0.562494 + 0.408675i
\(317\) 10.9212 12.1292i 0.613393 0.681242i −0.353789 0.935325i \(-0.615107\pi\)
0.967182 + 0.254083i \(0.0817736\pi\)
\(318\) −0.0878025 6.63905i −0.00492372 0.372300i
\(319\) 4.47206 + 0.950567i 0.250388 + 0.0532215i
\(320\) −8.43339 9.67987i −0.471441 0.541121i
\(321\) 14.2683 13.1930i 0.796379 0.736364i
\(322\) −10.5345 + 2.23917i −0.587063 + 0.124784i
\(323\) −46.1399 + 33.5226i −2.56729 + 1.86525i
\(324\) −8.50233 13.0770i −0.472351 0.726502i
\(325\) 11.3068 7.66297i 0.627189 0.425065i
\(326\) −5.82554 10.0901i −0.322647 0.558841i
\(327\) 11.7296 1.38989i 0.648651 0.0768613i
\(328\) 0.621557 + 0.690309i 0.0343198 + 0.0381160i
\(329\) −5.65844 6.28433i −0.311960 0.346467i
\(330\) −0.0191509 + 6.13149i −0.00105422 + 0.337527i
\(331\) −1.81538 + 2.01618i −0.0997823 + 0.110820i −0.790967 0.611858i \(-0.790422\pi\)
0.691185 + 0.722678i \(0.257089\pi\)
\(332\) 4.63623 0.254446
\(333\) −3.32430 + 3.89437i −0.182170 + 0.213410i
\(334\) −12.9710 9.42398i −0.709742 0.515657i
\(335\) −1.56714 + 12.8811i −0.0856221 + 0.703768i
\(336\) −8.24685 + 19.2022i −0.449902 + 1.04756i
\(337\) 31.5207 14.0339i 1.71704 0.764477i 0.719494 0.694499i \(-0.244374\pi\)
0.997549 0.0699777i \(-0.0222928\pi\)
\(338\) 9.77399 4.35166i 0.531635 0.236699i
\(339\) −7.50110 + 17.4657i −0.407404 + 0.948609i
\(340\) −27.9378 12.9900i −1.51514 0.704482i
\(341\) −4.68995 3.40745i −0.253975 0.184524i
\(342\) 40.8868 + 7.56655i 2.21091 + 0.409152i
\(343\) 18.0874 0.976630
\(344\) 3.06117 3.39978i 0.165047 0.183304i
\(345\) 4.71338 6.44498i 0.253760 0.346986i
\(346\) 7.60584 + 8.44714i 0.408892 + 0.454121i
\(347\) 15.2132 + 16.8960i 0.816688 + 0.907024i 0.997064 0.0765735i \(-0.0243980\pi\)
−0.180376 + 0.983598i \(0.557731\pi\)
\(348\) 16.6332 1.97094i 0.891635 0.105653i
\(349\) −16.7926 29.0857i −0.898890 1.55692i −0.828915 0.559374i \(-0.811042\pi\)
−0.0699744 0.997549i \(-0.522292\pi\)
\(350\) 7.25511 + 25.0920i 0.387802 + 1.34123i
\(351\) −12.5648 6.60420i −0.670660 0.352506i
\(352\) 5.03196 3.65593i 0.268204 0.194862i
\(353\) 7.10339 1.50987i 0.378075 0.0803623i −0.0149545 0.999888i \(-0.504760\pi\)
0.393030 + 0.919526i \(0.371427\pi\)
\(354\) 9.87596 9.13171i 0.524902 0.485345i
\(355\) 23.6088 + 5.42303i 1.25302 + 0.287825i
\(356\) −17.1713 3.64986i −0.910075 0.193442i
\(357\) 0.492344 + 37.2279i 0.0260576 + 1.97031i
\(358\) 11.9963 13.3233i 0.634026 0.704157i
\(359\) 28.1506 + 20.4526i 1.48573 + 1.07945i 0.975653 + 0.219320i \(0.0703837\pi\)
0.510079 + 0.860128i \(0.329616\pi\)
\(360\) −1.10211 3.27887i −0.0580862 0.172812i
\(361\) −26.2614 + 19.0800i −1.38218 + 1.00421i
\(362\) −1.11544 + 10.6127i −0.0586265 + 0.557794i
\(363\) 17.8149 + 1.63454i 0.935037 + 0.0857911i
\(364\) −1.33805 12.7307i −0.0701328 0.667269i
\(365\) −22.0807 25.3443i −1.15576 1.32658i
\(366\) 8.36175 + 0.767203i 0.437075 + 0.0401023i
\(367\) 0.958614 1.06465i 0.0500392 0.0555742i −0.717606 0.696450i \(-0.754762\pi\)
0.767645 + 0.640876i \(0.221429\pi\)
\(368\) −9.20004 −0.479585
\(369\) −1.80532 5.09372i −0.0939813 0.265168i
\(370\) 6.03558 4.23611i 0.313775 0.220225i
\(371\) 5.24708 1.11530i 0.272415 0.0579035i
\(372\) −20.2835 6.29519i −1.05165 0.326391i
\(373\) −3.21995 30.6357i −0.166722 1.58626i −0.683378 0.730065i \(-0.739490\pi\)
0.516655 0.856194i \(-0.327177\pi\)
\(374\) 6.29322 10.9002i 0.325415 0.563635i
\(375\) −16.4130 10.2768i −0.847564 0.530693i
\(376\) −0.806403 1.39673i −0.0415871 0.0720309i
\(377\) 12.3316 8.95943i 0.635110 0.461434i
\(378\) 19.4361 18.9491i 0.999683 0.974634i
\(379\) 7.87727 24.2437i 0.404628 1.24532i −0.516577 0.856241i \(-0.672794\pi\)
0.921205 0.389077i \(-0.127206\pi\)
\(380\) −25.2087 11.7211i −1.29318 0.601279i
\(381\) −1.45834 + 7.33671i −0.0747129 + 0.375871i
\(382\) −6.23631 + 10.8016i −0.319077 + 0.552658i
\(383\) 2.68451 + 0.570611i 0.137172 + 0.0291568i 0.275986 0.961162i \(-0.410996\pi\)
−0.138814 + 0.990318i \(0.544329\pi\)
\(384\) −4.08630 + 5.78364i −0.208528 + 0.295145i
\(385\) −4.86172 + 0.950602i −0.247776 + 0.0484472i
\(386\) 5.78364 4.20206i 0.294380 0.213879i
\(387\) −24.0198 + 11.4648i −1.22099 + 0.582788i
\(388\) −8.28697 6.02084i −0.420707 0.305662i
\(389\) 23.8712 + 10.6282i 1.21032 + 0.538869i 0.909856 0.414924i \(-0.136192\pi\)
0.300463 + 0.953793i \(0.402859\pi\)
\(390\) 15.1487 + 13.7258i 0.767083 + 0.695035i
\(391\) −14.9733 + 6.66654i −0.757232 + 0.337142i
\(392\) −0.156472 0.0332592i −0.00790304 0.00167984i
\(393\) −14.8739 + 8.85176i −0.750290 + 0.446512i
\(394\) −28.2289 + 31.3513i −1.42215 + 1.57946i
\(395\) −4.67912 15.2444i −0.235432 0.767029i
\(396\) −4.14227 + 0.995650i −0.208157 + 0.0500333i
\(397\) 0.161451 0.496896i 0.00810301 0.0249385i −0.946923 0.321460i \(-0.895827\pi\)
0.955026 + 0.296521i \(0.0958265\pi\)
\(398\) −28.7716 12.8099i −1.44219 0.642104i
\(399\) 0.444250 + 33.5913i 0.0222403 + 1.68167i
\(400\) 1.60567 + 22.2549i 0.0802834 + 1.11274i
\(401\) 6.86560 11.8916i 0.342852 0.593837i −0.642109 0.766613i \(-0.721940\pi\)
0.984961 + 0.172776i \(0.0552738\pi\)
\(402\) −19.2853 + 2.28519i −0.961862 + 0.113975i
\(403\) −18.9049 + 4.01835i −0.941718 + 0.200168i
\(404\) −4.58083 + 14.0983i −0.227905 + 0.701419i
\(405\) −1.37083 + 20.0779i −0.0681172 + 0.997677i
\(406\) 9.00741 + 27.7220i 0.447030 + 1.37582i
\(407\) 0.699242 + 1.21112i 0.0346601 + 0.0600331i
\(408\) −1.38435 + 6.96447i −0.0685353 + 0.344793i
\(409\) −18.6309 + 8.29503i −0.921240 + 0.410163i −0.811870 0.583838i \(-0.801550\pi\)
−0.109371 + 0.994001i \(0.534884\pi\)
\(410\) 0.686876 + 7.75231i 0.0339224 + 0.382859i
\(411\) −15.6379 20.9358i −0.771358 1.03268i
\(412\) −0.195947 + 1.86431i −0.00965361 + 0.0918479i
\(413\) 8.79171 + 6.38755i 0.432612 + 0.314311i
\(414\) 11.0415 + 4.57006i 0.542660 + 0.224606i
\(415\) −4.78116 3.59458i −0.234698 0.176451i
\(416\) 2.16756 20.6230i 0.106274 1.01113i
\(417\) −24.3199 21.3222i −1.19095 1.04415i
\(418\) 5.67847 9.83539i 0.277743 0.481065i
\(419\) −31.4528 6.68550i −1.53657 0.326608i −0.639603 0.768705i \(-0.720901\pi\)
−0.896967 + 0.442097i \(0.854235\pi\)
\(420\) −15.7452 + 9.02506i −0.768288 + 0.440378i
\(421\) 7.32382 1.55673i 0.356941 0.0758702i −0.0259510 0.999663i \(-0.508261\pi\)
0.382892 + 0.923793i \(0.374928\pi\)
\(422\) 1.85478 5.70843i 0.0902894 0.277882i
\(423\) 1.22723 + 9.30240i 0.0596699 + 0.452298i
\(424\) 1.02308 0.0496852
\(425\) 18.7396 + 35.0569i 0.909005 + 1.70051i
\(426\) 0.479417 + 36.2504i 0.0232278 + 1.75634i
\(427\) 0.709122 + 6.74684i 0.0343168 + 0.326503i
\(428\) −13.0112 14.4504i −0.628919 0.698485i
\(429\) −2.84659 + 2.63207i −0.137435 + 0.127078i
\(430\) 37.6174 7.35525i 1.81407 0.354702i
\(431\) −10.7714 33.1508i −0.518838 1.59682i −0.776188 0.630501i \(-0.782849\pi\)
0.257350 0.966318i \(-0.417151\pi\)
\(432\) 19.6058 12.3814i 0.943284 0.595700i
\(433\) −0.450743 1.38724i −0.0216613 0.0666667i 0.939642 0.342160i \(-0.111159\pi\)
−0.961303 + 0.275494i \(0.911159\pi\)
\(434\) 3.86331 36.7569i 0.185445 1.76439i
\(435\) −18.6813 10.8636i −0.895700 0.520869i
\(436\) −1.23542 11.7542i −0.0591658 0.562925i
\(437\) −13.5106 + 6.01532i −0.646301 + 0.287752i
\(438\) 29.0290 41.0868i 1.38706 1.96321i
\(439\) 16.2351 + 7.22832i 0.774858 + 0.344989i 0.755777 0.654829i \(-0.227259\pi\)
0.0190810 + 0.999818i \(0.493926\pi\)
\(440\) −0.944660 0.0154444i −0.0450349 0.000736285i
\(441\) 0.767125 + 0.526927i 0.0365298 + 0.0250918i
\(442\) −12.9671 39.9087i −0.616783 1.89826i
\(443\) −9.45458 16.3758i −0.449201 0.778038i 0.549134 0.835735i \(-0.314958\pi\)
−0.998334 + 0.0576964i \(0.981624\pi\)
\(444\) 3.85243 + 3.37758i 0.182828 + 0.160293i
\(445\) 14.8782 + 17.0772i 0.705294 + 0.809539i
\(446\) −21.0827 23.4147i −0.998293 1.10872i
\(447\) 3.18166 + 14.0521i 0.150487 + 0.664644i
\(448\) 14.1814 + 6.31395i 0.670007 + 0.298306i
\(449\) 15.8263 0.746890 0.373445 0.927652i \(-0.378177\pi\)
0.373445 + 0.927652i \(0.378177\pi\)
\(450\) 9.12791 27.5069i 0.430294 1.29669i
\(451\) −1.47603 −0.0695036
\(452\) 17.3757 + 7.73615i 0.817283 + 0.363878i
\(453\) 16.4596 + 5.10842i 0.773340 + 0.240015i
\(454\) 8.66918 + 9.62810i 0.406865 + 0.451869i
\(455\) −8.49052 + 14.1661i −0.398042 + 0.664115i
\(456\) −1.24912 + 6.28415i −0.0584952 + 0.294282i
\(457\) −11.0341 19.1116i −0.516152 0.894001i −0.999824 0.0187518i \(-0.994031\pi\)
0.483673 0.875249i \(-0.339303\pi\)
\(458\) 7.33744 + 22.5823i 0.342856 + 1.05520i
\(459\) 22.9371 34.3578i 1.07061 1.60369i
\(460\) −6.38600 4.80114i −0.297749 0.223854i
\(461\) −20.8135 9.26675i −0.969380 0.431596i −0.139920 0.990163i \(-0.544685\pi\)
−0.829459 + 0.558567i \(0.811351\pi\)
\(462\) −3.10482 6.73249i −0.144449 0.313224i
\(463\) −7.78195 + 3.46475i −0.361658 + 0.161020i −0.579518 0.814960i \(-0.696759\pi\)
0.217860 + 0.975980i \(0.430092\pi\)
\(464\) 2.60276 + 24.7636i 0.120830 + 1.14962i
\(465\) 16.0367 + 22.2182i 0.743684 + 1.03035i
\(466\) −4.94612 + 47.0592i −0.229125 + 2.17997i
\(467\) 0.960766 + 2.95693i 0.0444590 + 0.136831i 0.970822 0.239801i \(-0.0770822\pi\)
−0.926363 + 0.376632i \(0.877082\pi\)
\(468\) −6.77394 + 12.4840i −0.313125 + 0.577075i
\(469\) −4.84847 14.9221i −0.223882 0.689037i
\(470\) 1.63195 13.4138i 0.0752763 0.618731i
\(471\) −6.31656 27.8978i −0.291052 1.28546i
\(472\) 1.38683 + 1.54023i 0.0638340 + 0.0708948i
\(473\) 0.759866 + 7.22964i 0.0349387 + 0.332419i
\(474\) 20.5086 12.2051i 0.941992 0.560598i
\(475\) 16.9090 + 31.6324i 0.775840 + 1.45139i
\(476\) 37.2540 1.70753
\(477\) −5.49962 2.27629i −0.251810 0.104224i
\(478\) −15.8064 + 48.6470i −0.722967 + 2.22506i
\(479\) 17.1529 3.64596i 0.783735 0.166588i 0.201370 0.979515i \(-0.435461\pi\)
0.582365 + 0.812927i \(0.302127\pi\)
\(480\) −27.9887 + 8.99753i −1.27750 + 0.410679i
\(481\) 4.56058 + 0.969381i 0.207945 + 0.0442000i
\(482\) 5.77710 10.0062i 0.263140 0.455772i
\(483\) −1.88224 + 9.46931i −0.0856449 + 0.430869i
\(484\) 1.87113 17.8026i 0.0850513 0.809209i
\(485\) 3.87792 + 12.6341i 0.176087 + 0.573686i
\(486\) −29.6804 + 5.12057i −1.34633 + 0.232274i
\(487\) 4.18121 + 3.03782i 0.189469 + 0.137657i 0.678476 0.734623i \(-0.262641\pi\)
−0.489007 + 0.872280i \(0.662641\pi\)
\(488\) −0.135244 + 1.28676i −0.00612220 + 0.0582488i
\(489\) −10.3720 + 1.22902i −0.469039 + 0.0555784i
\(490\) −0.880413 1.01054i −0.0397730 0.0456516i
\(491\) 15.4984 6.90033i 0.699433 0.311408i −0.0260375 0.999661i \(-0.508289\pi\)
0.725470 + 0.688253i \(0.241622\pi\)
\(492\) −5.12029 + 1.73887i −0.230840 + 0.0783944i
\(493\) 22.1803 + 38.4174i 0.998950 + 1.73023i
\(494\) −11.7004 36.0102i −0.526427 1.62018i
\(495\) 5.04371 + 2.18483i 0.226698 + 0.0982008i
\(496\) 9.75638 30.0271i 0.438074 1.34825i
\(497\) −28.6500 + 6.08974i −1.28513 + 0.273162i
\(498\) 3.53276 8.22576i 0.158307 0.368605i
\(499\) −4.22329 + 7.31496i −0.189061 + 0.327463i −0.944937 0.327251i \(-0.893878\pi\)
0.755877 + 0.654714i \(0.227211\pi\)
\(500\) −10.4994 + 16.2857i −0.469548 + 0.728317i
\(501\) −12.3511 + 7.35036i −0.551805 + 0.328390i
\(502\) −9.09600 4.04980i −0.405974 0.180751i
\(503\) −6.58427 + 20.2643i −0.293578 + 0.903541i 0.690117 + 0.723698i \(0.257559\pi\)
−0.983695 + 0.179843i \(0.942441\pi\)
\(504\) 2.87994 + 3.03319i 0.128283 + 0.135109i
\(505\) 15.6548 10.9874i 0.696630 0.488934i
\(506\) 2.18394 2.42551i 0.0970879 0.107827i
\(507\) −0.126832 9.59023i −0.00563282 0.425917i
\(508\) 7.32128 + 1.55619i 0.324829 + 0.0690446i
\(509\) 5.25717 2.34064i 0.233020 0.103747i −0.286905 0.957959i \(-0.592626\pi\)
0.519925 + 0.854212i \(0.325960\pi\)
\(510\) −44.3356 + 39.6699i −1.96321 + 1.75661i
\(511\) 37.1304 + 16.5315i 1.64255 + 0.731311i
\(512\) 23.6818 + 17.2059i 1.04660 + 0.760399i
\(513\) 20.6965 31.0016i 0.913773 1.36875i
\(514\) −7.33217 + 5.32714i −0.323408 + 0.234970i
\(515\) 1.64752 1.77066i 0.0725982 0.0780248i
\(516\) 11.1530 + 24.1841i 0.490983 + 1.06465i
\(517\) 2.50675 + 0.532827i 0.110247 + 0.0234337i
\(518\) −4.45802 + 7.72151i −0.195874 + 0.339264i
\(519\) 9.64849 3.27667i 0.423522 0.143830i
\(520\) −2.14565 + 2.30604i −0.0940931 + 0.101126i
\(521\) −1.60876 + 4.95126i −0.0704811 + 0.216918i −0.980092 0.198542i \(-0.936379\pi\)
0.909611 + 0.415460i \(0.136379\pi\)
\(522\) 9.17743 31.0131i 0.401685 1.35741i
\(523\) 31.9268 23.1962i 1.39606 1.01430i 0.400893 0.916125i \(-0.368700\pi\)
0.995169 0.0981735i \(-0.0313000\pi\)
\(524\) 8.65960 + 14.9989i 0.378296 + 0.655229i
\(525\) 23.2348 + 2.90047i 1.01405 + 0.126587i
\(526\) 10.8109 18.7251i 0.471379 0.816453i
\(527\) −5.87948 55.9395i −0.256114 2.43676i
\(528\) −1.39857 6.17695i −0.0608651 0.268817i
\(529\) 18.3400 3.89829i 0.797392 0.169491i
\(530\) 6.85139 + 5.15103i 0.297605 + 0.223746i
\(531\) −4.02807 11.3652i −0.174803 0.493207i
\(532\) 33.6148 1.45739
\(533\) −3.29279 + 3.65702i −0.142627 + 0.158403i
\(534\) −19.5600 + 27.6847i −0.846445 + 1.19803i
\(535\) 2.21418 + 24.9900i 0.0957274 + 1.08041i
\(536\) −0.312790 2.97600i −0.0135105 0.128544i
\(537\) −6.73055 14.5945i −0.290445 0.629800i
\(538\) 0.884037 8.41105i 0.0381135 0.362626i
\(539\) 0.205644 0.149409i 0.00885771 0.00643550i
\(540\) 20.0703 + 1.63723i 0.863688 + 0.0704550i
\(541\) 3.83727 + 2.78794i 0.164977 + 0.119863i 0.667211 0.744869i \(-0.267488\pi\)
−0.502233 + 0.864732i \(0.667488\pi\)
\(542\) 11.3792 12.6379i 0.488780 0.542845i
\(543\) 8.34708 + 4.67312i 0.358208 + 0.200543i
\(544\) 59.0306 + 12.5473i 2.53092 + 0.537963i
\(545\) −7.83928 + 13.0795i −0.335798 + 0.560264i
\(546\) −23.6068 7.32663i −1.01028 0.313551i
\(547\) −35.7135 + 7.59114i −1.52700 + 0.324574i −0.893462 0.449139i \(-0.851731\pi\)
−0.633537 + 0.773713i \(0.718397\pi\)
\(548\) −21.1537 + 15.3691i −0.903641 + 0.656534i
\(549\) 3.58996 6.61613i 0.153216 0.282370i
\(550\) −6.24846 4.85962i −0.266435 0.207215i
\(551\) 20.0136 + 34.6646i 0.852608 + 1.47676i
\(552\) −0.726622 + 1.69189i −0.0309271 + 0.0720115i
\(553\) 12.9019 + 14.3290i 0.548643 + 0.609330i
\(554\) 13.7119 + 15.2286i 0.582561 + 0.647000i
\(555\) −1.35414 6.47004i −0.0574801 0.274638i
\(556\) −21.6552 + 24.0506i −0.918386 + 1.01997i
\(557\) −17.5287 −0.742714 −0.371357 0.928490i \(-0.621107\pi\)
−0.371357 + 0.928490i \(0.621107\pi\)
\(558\) −26.6249 + 31.1908i −1.12712 + 1.32041i
\(559\) 19.6073 + 14.2455i 0.829301 + 0.602522i
\(560\) −13.1060 23.5823i −0.553828 0.996533i
\(561\) −6.75216 9.03971i −0.285076 0.381657i
\(562\) −51.6145 + 22.9803i −2.17723 + 0.969364i
\(563\) −4.44867 + 1.98067i −0.187489 + 0.0834755i −0.498334 0.866985i \(-0.666055\pi\)
0.310845 + 0.950461i \(0.399388\pi\)
\(564\) 9.32353 1.10478i 0.392592 0.0465198i
\(565\) −11.9208 21.4498i −0.501512 0.902398i
\(566\) 9.02086 + 6.55404i 0.379175 + 0.275487i
\(567\) −8.73262 22.7128i −0.366736 0.953846i
\(568\) −5.58619 −0.234391
\(569\) −25.0518 + 27.8228i −1.05023 + 1.16639i −0.0645199 + 0.997916i \(0.520552\pi\)
−0.985706 + 0.168477i \(0.946115\pi\)
\(570\) −40.0047 + 35.7948i −1.67561 + 1.49928i
\(571\) 0.660086 + 0.733100i 0.0276237 + 0.0306793i 0.756798 0.653648i \(-0.226762\pi\)
−0.729175 + 0.684328i \(0.760096\pi\)
\(572\) 2.59579 + 2.88292i 0.108535 + 0.120541i
\(573\) 6.69110 + 8.95796i 0.279525 + 0.374224i
\(574\) −4.70522 8.14967i −0.196392 0.340161i
\(575\) 2.86319 + 9.90244i 0.119403 + 0.412960i
\(576\) −9.00367 14.6838i −0.375153 0.611825i
\(577\) 5.32656 3.86997i 0.221747 0.161109i −0.471365 0.881938i \(-0.656239\pi\)
0.693113 + 0.720829i \(0.256239\pi\)
\(578\) 87.3256 18.5616i 3.63227 0.772062i
\(579\) −1.41522 6.25047i −0.0588145 0.259761i
\(580\) −11.1165 + 18.5474i −0.461588 + 0.770138i
\(581\) 7.07469 + 1.50377i 0.293508 + 0.0623870i
\(582\) −16.9970 + 10.1152i −0.704547 + 0.419290i
\(583\) −1.08779 + 1.20811i −0.0450517 + 0.0500350i
\(584\) 6.27124 + 4.55632i 0.259506 + 0.188542i
\(585\) 16.6649 7.62229i 0.689007 0.315143i
\(586\) 8.28013 6.01587i 0.342049 0.248513i
\(587\) 4.07528 38.7737i 0.168205 1.60036i −0.506477 0.862253i \(-0.669053\pi\)
0.674682 0.738108i \(-0.264281\pi\)
\(588\) 0.537355 0.760557i 0.0221601 0.0313648i
\(589\) −5.30514 50.4751i −0.218595 2.07979i
\(590\) 1.53257 + 17.2971i 0.0630949 + 0.712110i
\(591\) 15.8378 + 34.3427i 0.651481 + 1.41267i
\(592\) −5.09641 + 5.66013i −0.209461 + 0.232630i
\(593\) 40.1968 1.65068 0.825342 0.564633i \(-0.190982\pi\)
0.825342 + 0.564633i \(0.190982\pi\)
\(594\) −1.38985 + 8.10804i −0.0570262 + 0.332677i
\(595\) −38.4185 28.8839i −1.57501 1.18412i
\(596\) 14.1016 2.99740i 0.577626 0.122778i
\(597\) −20.7296 + 19.1674i −0.848407 + 0.784471i
\(598\) −1.13742 10.8219i −0.0465127 0.442539i
\(599\) −16.0097 + 27.7297i −0.654140 + 1.13300i 0.327968 + 0.944689i \(0.393636\pi\)
−0.982109 + 0.188316i \(0.939697\pi\)
\(600\) 4.21949 + 1.46242i 0.172260 + 0.0597029i
\(601\) −19.3911 33.5864i −0.790981 1.37002i −0.925360 0.379089i \(-0.876237\pi\)
0.134379 0.990930i \(-0.457096\pi\)
\(602\) −37.4951 + 27.2417i −1.52818 + 1.11029i
\(603\) −4.93999 + 16.6936i −0.201172 + 0.679816i
\(604\) 5.32891 16.4007i 0.216830 0.667334i
\(605\) −15.7324 + 16.9084i −0.639613 + 0.687423i
\(606\) 21.5232 + 18.8702i 0.874321 + 0.766551i
\(607\) −4.75715 + 8.23963i −0.193087 + 0.334436i −0.946272 0.323373i \(-0.895183\pi\)
0.753185 + 0.657809i \(0.228517\pi\)
\(608\) 53.2642 + 11.3217i 2.16015 + 0.459154i
\(609\) 26.0209 + 2.38746i 1.05442 + 0.0967447i
\(610\) −7.38430 + 7.93627i −0.298982 + 0.321330i
\(611\) 6.91231 5.02209i 0.279642 0.203172i
\(612\) −34.0724 23.4038i −1.37729 0.946043i
\(613\) −30.1095 21.8759i −1.21611 0.883558i −0.220342 0.975423i \(-0.570717\pi\)
−0.995771 + 0.0918649i \(0.970717\pi\)
\(614\) −2.40881 1.07247i −0.0972116 0.0432814i
\(615\) 6.62853 + 2.17665i 0.267288 + 0.0877712i
\(616\) 1.04362 0.464651i 0.0420488 0.0187213i
\(617\) −1.01266 0.215248i −0.0407683 0.00866558i 0.187482 0.982268i \(-0.439967\pi\)
−0.228251 + 0.973602i \(0.573301\pi\)
\(618\) 3.15841 + 1.76824i 0.127050 + 0.0711290i
\(619\) 8.59371 9.54428i 0.345410 0.383617i −0.545260 0.838267i \(-0.683569\pi\)
0.890670 + 0.454650i \(0.150236\pi\)
\(620\) 22.4421 15.7511i 0.901297 0.632581i
\(621\) 7.67034 7.47814i 0.307800 0.300087i
\(622\) 5.85171 18.0097i 0.234632 0.722124i
\(623\) −25.0188 11.1391i −1.00236 0.446278i
\(624\) −18.4240 10.3147i −0.737551 0.412918i
\(625\) 23.4543 8.65431i 0.938171 0.346172i
\(626\) 24.4259 42.3070i 0.976257 1.69093i
\(627\) −6.09258 8.15666i −0.243314 0.325746i
\(628\) −27.9960 + 5.95074i −1.11716 + 0.237460i
\(629\) −4.19308 + 12.9050i −0.167189 + 0.514555i
\(630\) 4.01488 + 34.8127i 0.159957 + 1.38697i
\(631\) −1.15787 3.56357i −0.0460943 0.141864i 0.925361 0.379088i \(-0.123762\pi\)
−0.971455 + 0.237225i \(0.923762\pi\)
\(632\) 1.83869 + 3.18470i 0.0731391 + 0.126681i
\(633\) −4.04587 3.54717i −0.160809 0.140987i
\(634\) −28.8087 + 12.8265i −1.14414 + 0.509404i
\(635\) −6.34359 7.28119i −0.251738 0.288945i
\(636\) −2.35026 + 5.47240i −0.0931937 + 0.216995i
\(637\) 0.0885831 0.842812i 0.00350979 0.0333934i
\(638\) −7.14656 5.19228i −0.282935 0.205564i
\(639\) 30.0289 + 12.4289i 1.18792 + 0.491680i
\(640\) −2.68260 8.73981i −0.106039 0.345471i
\(641\) −0.782463 + 7.44463i −0.0309054 + 0.294045i 0.968142 + 0.250403i \(0.0805630\pi\)
−0.999047 + 0.0436428i \(0.986104\pi\)
\(642\) −35.5527 + 12.0739i −1.40315 + 0.476517i
\(643\) 19.9559 34.5645i 0.786982 1.36309i −0.140826 0.990034i \(-0.544976\pi\)
0.927808 0.373058i \(-0.121691\pi\)
\(644\) 9.44939 + 2.00853i 0.372358 + 0.0791472i
\(645\) 7.24892 33.5873i 0.285426 1.32250i
\(646\) 107.785 22.9104i 4.24075 0.901399i
\(647\) −1.26863 + 3.90445i −0.0498751 + 0.153500i −0.972892 0.231259i \(-0.925715\pi\)
0.923017 + 0.384759i \(0.125715\pi\)
\(648\) −0.728464 4.58339i −0.0286168 0.180053i
\(649\) −3.29335 −0.129275
\(650\) −25.9796 + 4.64015i −1.01900 + 0.182002i
\(651\) −28.9099 16.1852i −1.13307 0.634348i
\(652\) 1.09243 + 10.3937i 0.0427827 + 0.407051i
\(653\) −3.68589 4.09359i −0.144240 0.160195i 0.666696 0.745330i \(-0.267708\pi\)
−0.810936 + 0.585135i \(0.801041\pi\)
\(654\) −21.7961 6.76466i −0.852295 0.264519i
\(655\) 2.69868 22.1817i 0.105446 0.866712i
\(656\) −2.48413 7.64535i −0.0969888 0.298501i
\(657\) −23.5739 38.4458i −0.919704 1.49991i
\(658\) 5.04898 + 15.5392i 0.196830 + 0.605780i
\(659\) −0.740780 + 7.04805i −0.0288567 + 0.274553i 0.970574 + 0.240804i \(0.0774112\pi\)
−0.999430 + 0.0337487i \(0.989255\pi\)
\(660\) 2.25272 5.01745i 0.0876869 0.195304i
\(661\) −3.60565 34.3055i −0.140243 1.33433i −0.807662 0.589645i \(-0.799268\pi\)
0.667419 0.744682i \(-0.267399\pi\)
\(662\) 4.78875 2.13209i 0.186120 0.0828661i
\(663\) −37.4598 3.43699i −1.45482 0.133482i
\(664\) 1.26017 + 0.561065i 0.0489042 + 0.0217735i
\(665\) −34.6656 26.0624i −1.34427 1.01066i
\(666\) 8.92812 4.26144i 0.345958 0.165128i
\(667\) 3.55473 + 10.9403i 0.137640 + 0.423611i
\(668\) 7.19080 + 12.4548i 0.278220 + 0.481892i
\(669\) −26.7447 + 9.08261i −1.03401 + 0.351154i
\(670\) 12.8889 21.5046i 0.497943 0.830796i
\(671\) −1.37568 1.52785i −0.0531077 0.0589821i
\(672\) 26.1006 24.1337i 1.00685 0.930977i
\(673\) −27.8887 12.4169i −1.07503 0.478634i −0.208635 0.977993i \(-0.566902\pi\)
−0.866395 + 0.499359i \(0.833569\pi\)
\(674\) −66.6655 −2.56786
\(675\) −19.4283 17.2494i −0.747796 0.663929i
\(676\) −9.59695 −0.369114
\(677\) −8.96654 3.99216i −0.344612 0.153431i 0.227130 0.973864i \(-0.427066\pi\)
−0.571742 + 0.820433i \(0.693732\pi\)
\(678\) 26.9658 24.9337i 1.03562 0.957572i
\(679\) −10.6927 11.8754i −0.410348 0.455738i
\(680\) −6.02173 6.91177i −0.230923 0.265054i
\(681\) 10.9974 3.73477i 0.421422 0.143117i
\(682\) 5.60037 + 9.70012i 0.214449 + 0.371437i
\(683\) 9.67861 + 29.7877i 0.370342 + 1.13979i 0.946568 + 0.322504i \(0.104525\pi\)
−0.576226 + 0.817290i \(0.695475\pi\)
\(684\) −30.7440 21.1176i −1.17553 0.807452i
\(685\) 33.7309 + 0.551474i 1.28879 + 0.0210707i
\(686\) −31.9259 14.2143i −1.21894 0.542705i
\(687\) 21.1966 + 1.94482i 0.808702 + 0.0741996i
\(688\) −36.1683 + 16.1032i −1.37890 + 0.613927i
\(689\) 0.566536 + 5.39023i 0.0215833 + 0.205351i
\(690\) −13.3844 + 7.67185i −0.509536 + 0.292062i
\(691\) −2.65596 + 25.2698i −0.101037 + 0.961307i 0.820140 + 0.572164i \(0.193896\pi\)
−0.921177 + 0.389144i \(0.872771\pi\)
\(692\) −3.15072 9.69692i −0.119772 0.368622i
\(693\) −6.64387 + 0.175763i −0.252380 + 0.00667670i
\(694\) −13.5746 41.7784i −0.515286 1.58589i
\(695\) 40.9791 8.01256i 1.55443 0.303934i
\(696\) 4.75959 + 1.47719i 0.180412 + 0.0559928i
\(697\) −9.58296 10.6430i −0.362981 0.403131i
\(698\) 6.78296 + 64.5356i 0.256739 + 2.44271i
\(699\) 37.0127 + 20.7216i 1.39995 + 0.783763i
\(700\) 3.20944 23.2086i 0.121306 0.877203i
\(701\) −6.16132 −0.232710 −0.116355 0.993208i \(-0.537121\pi\)
−0.116355 + 0.993208i \(0.537121\pi\)
\(702\) 16.9880 + 21.5313i 0.641169 + 0.812645i
\(703\) −3.78348 + 11.6444i −0.142697 + 0.439175i
\(704\) −4.60165 + 0.978112i −0.173431 + 0.0368640i
\(705\) −10.4715 6.08944i −0.394381 0.229342i
\(706\) −13.7246 2.91726i −0.516534 0.109793i
\(707\) −11.5630 + 20.0277i −0.434871 + 0.753218i
\(708\) −11.4245 + 3.87980i −0.429358 + 0.145812i
\(709\) 1.87963 17.8835i 0.0705912 0.671630i −0.900814 0.434204i \(-0.857030\pi\)
0.971406 0.237426i \(-0.0763037\pi\)
\(710\) −37.4098 28.1255i −1.40396 1.05553i
\(711\) −2.79822 21.2105i −0.104941 0.795456i
\(712\) −4.22562 3.07009i −0.158362 0.115056i
\(713\) 1.52463 14.5059i 0.0570980 0.543251i
\(714\) 28.3871 66.0973i 1.06236 2.47363i
\(715\) −0.441739 4.98562i −0.0165201 0.186451i
\(716\) −14.6913 + 6.54097i −0.549038 + 0.244448i
\(717\) 34.4788 + 30.2289i 1.28763 + 1.12892i
\(718\) −33.6152 58.2232i −1.25451 2.17287i
\(719\) −3.67562 11.3124i −0.137078 0.421881i 0.858830 0.512261i \(-0.171192\pi\)
−0.995907 + 0.0903796i \(0.971192\pi\)
\(720\) −2.82825 + 29.8018i −0.105403 + 1.11065i
\(721\) −0.903700 + 2.78130i −0.0336555 + 0.103581i
\(722\) 61.3480 13.0399i 2.28313 0.485295i
\(723\) −6.19841 8.29835i −0.230521 0.308619i
\(724\) 4.78603 8.28964i 0.177871 0.308082i
\(725\) 25.8442 10.5083i 0.959830 0.390267i
\(726\) −30.1602 16.8852i −1.11935 0.626669i
\(727\) 40.7090 + 18.1248i 1.50981 + 0.672212i 0.983964 0.178366i \(-0.0570813\pi\)
0.525848 + 0.850578i \(0.323748\pi\)
\(728\) 1.17694 3.62225i 0.0436203 0.134249i
\(729\) −6.28185 + 26.2591i −0.232661 + 0.972558i
\(730\) 19.0571 + 62.0874i 0.705335 + 2.29796i
\(731\) −47.1962 + 52.4166i −1.74561 + 1.93870i
\(732\) −6.57211 3.67940i −0.242912 0.135995i
\(733\) 30.5184 + 6.48688i 1.12722 + 0.239598i 0.733539 0.679648i \(-0.237867\pi\)
0.393683 + 0.919246i \(0.371201\pi\)
\(734\) −2.52871 + 1.12585i −0.0933363 + 0.0415560i
\(735\) −1.14383 + 0.367707i −0.0421908 + 0.0135631i
\(736\) 14.2965 + 6.36521i 0.526976 + 0.234625i
\(737\) 3.84682 + 2.79488i 0.141699 + 0.102951i
\(738\) −0.816437 + 10.4096i −0.0300535 + 0.383183i
\(739\) −18.8750 + 13.7135i −0.694328 + 0.504459i −0.878080 0.478514i \(-0.841176\pi\)
0.183752 + 0.982973i \(0.441176\pi\)
\(740\) −6.49136 + 1.26924i −0.238627 + 0.0466583i
\(741\) −33.8005 3.10125i −1.24169 0.113927i
\(742\) −10.1380 2.15490i −0.372178 0.0791090i
\(743\) −27.0017 + 46.7683i −0.990597 + 1.71576i −0.376814 + 0.926289i \(0.622980\pi\)
−0.613783 + 0.789475i \(0.710353\pi\)
\(744\) −4.75141 4.16575i −0.174195 0.152724i
\(745\) −16.8664 7.84224i −0.617937 0.287318i
\(746\) −18.3921 + 56.6052i −0.673384 + 2.07246i
\(747\) −5.52579 5.81983i −0.202178 0.212937i
\(748\) −9.13381 + 6.63610i −0.333965 + 0.242640i
\(749\) −15.1675 26.2709i −0.554208 0.959917i
\(750\) 20.8942 + 31.0379i 0.762947 + 1.13334i
\(751\) −9.85880 + 17.0759i −0.359753 + 0.623110i −0.987919 0.154969i \(-0.950472\pi\)
0.628167 + 0.778079i \(0.283806\pi\)
\(752\) 1.45894 + 13.8809i 0.0532021 + 0.506184i
\(753\) −6.55357 + 6.05969i −0.238825 + 0.220828i
\(754\) −28.8072 + 6.12317i −1.04910 + 0.222993i
\(755\) −18.2113 + 12.7817i −0.662778 + 0.465175i
\(756\) −22.8403 + 8.43668i −0.830692 + 0.306839i
\(757\) 15.3080 0.556380 0.278190 0.960526i \(-0.410265\pi\)
0.278190 + 0.960526i \(0.410265\pi\)
\(758\) −32.9564 + 36.6018i −1.19703 + 1.32944i
\(759\) −1.22530 2.65694i −0.0444756 0.0964409i
\(760\) −5.43350 6.23659i −0.197094 0.226225i
\(761\) 0.560352 + 5.33140i 0.0203128 + 0.193263i 0.999973 0.00740241i \(-0.00235628\pi\)
−0.979660 + 0.200665i \(0.935690\pi\)
\(762\) 8.33977 11.8039i 0.302118 0.427609i
\(763\) 1.92731 18.3371i 0.0697733 0.663849i
\(764\) 9.05121 6.57609i 0.327461 0.237915i
\(765\) 16.9919 + 50.5525i 0.614345 + 1.82773i
\(766\) −4.28997 3.11685i −0.155003 0.112616i
\(767\) −7.34694 + 8.15960i −0.265282 + 0.294626i
\(768\) 28.8492 17.1687i 1.04101 0.619523i
\(769\) 27.7808 + 5.90499i 1.00180 + 0.212939i 0.679482 0.733692i \(-0.262204\pi\)
0.322319 + 0.946631i \(0.395538\pi\)
\(770\) 9.32840 + 2.14277i 0.336172 + 0.0772201i
\(771\) 1.79414