Properties

Label 225.2.q.a.16.6
Level $225$
Weight $2$
Character 225.16
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 16.6
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.6

$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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 −0.921098 0.389331i \(-0.872706\pi\)
−0.327006 + 0.945022i \(0.606040\pi\)
\(3\) −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 −0.488960 0.872306i \(-0.662624\pi\)
0.999919 0.0127012i \(-0.00404302\pi\)
\(8\) 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 −0.516469 0.856306i \(-0.672754\pi\)
0.290774 + 0.956792i \(0.406087\pi\)
\(12\) −2.98929 + 0.274272i −0.862932 + 0.0791754i
\(13\) −2.49560 1.11111i −0.692155 0.308167i 0.0303436 0.999540i \(-0.490340\pi\)
−0.722499 + 0.691372i \(0.757007\pi\)
\(14\) −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 −0.0454115 + 0.998968i \(0.514460\pi\)
−0.550440 + 0.834875i \(0.685540\pi\)
\(18\) −2.76442 5.09470i −0.651581 1.20083i
\(19\) −2.21677 + 6.82252i −0.508562 + 1.56519i 0.286136 + 0.958189i \(0.407629\pi\)
−0.794698 + 0.607005i \(0.792371\pi\)
\(20\) 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 0.948811 + 0.315846i \(0.102288\pi\)
−0.993745 + 0.111675i \(0.964378\pi\)
\(24\) −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 −0.328913 0.944360i \(-0.606682\pi\)
−0.684583 + 0.728935i \(0.740016\pi\)
\(30\) −3.02228 + 6.84562i −0.551791 + 1.24983i
\(31\) 6.92035 1.47097i 1.24293 0.264193i 0.460912 0.887446i \(-0.347523\pi\)
0.782021 + 0.623253i \(0.214189\pi\)
\(32\) −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 −0.695472 0.718553i \(-0.744805\pi\)
0.468472 + 0.883479i \(0.344805\pi\)
\(38\) −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 0.531197 0.847249i \(-0.321743\pi\)
−0.274188 + 0.961676i \(0.588409\pi\)
\(42\) 6.80359 5.96497i 1.04982 0.920415i
\(43\) −4.43594 + 7.68327i −0.676474 + 1.17169i 0.299562 + 0.954077i \(0.403160\pi\)
−0.976036 + 0.217611i \(0.930174\pi\)
\(44\) −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 −0.0206937 0.999786i \(-0.506587\pi\)
−0.425554 + 0.904933i \(0.639921\pi\)
\(48\) 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 0.984293 0.176540i \(-0.0564906\pi\)
−0.900078 + 0.435729i \(0.856491\pi\)
\(54\) −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 0.631584 0.775308i \(-0.282405\pi\)
−0.153554 + 0.988140i \(0.549072\pi\)
\(60\) −0.0209650 6.71229i −0.00270657 0.866553i
\(61\) 2.29219 1.02055i 0.293485 0.130668i −0.254712 0.967017i \(-0.581981\pi\)
0.548198 + 0.836349i \(0.315314\pi\)
\(62\) −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 −0.541143 0.840931i \(-0.682008\pi\)
−0.152322 + 0.988331i \(0.548675\pi\)
\(68\) 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 −0.927164 0.374656i \(-0.877761\pi\)
0.529874 0.848076i \(-0.322239\pi\)
\(72\) 1.50413 + 0.361538i 0.177264 + 0.0426077i
\(73\) 12.1616 + 8.83593i 1.42341 + 1.03417i 0.991197 + 0.132396i \(0.0422672\pi\)
0.432213 + 0.901771i \(0.357733\pi\)
\(74\) 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 0.582855 0.812576i \(-0.301936\pi\)
0.201960 + 0.979394i \(0.435269\pi\)
\(80\) −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 0.833330 0.552775i \(-0.186431\pi\)
−0.636854 + 0.770984i \(0.719765\pi\)
\(84\) −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 0.0615912 0.998101i \(-0.480382\pi\)
−0.930218 + 0.367007i \(0.880382\pi\)
\(90\) 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 −0.0951626 0.995462i \(-0.530337\pi\)
−0.491826 + 0.870693i \(0.663670\pi\)
\(98\) 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 −0.570927 0.821000i \(-0.693416\pi\)
0.996471 + 0.0839375i \(0.0267496\pi\)
\(102\) −15.9218 + 21.3159i −1.57649 + 2.11059i
\(103\) 0.723748 0.803804i 0.0713130 0.0792011i −0.706432 0.707780i \(-0.749697\pi\)
0.777745 + 0.628579i \(0.216363\pi\)
\(104\) −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 −0.819774 0.572687i \(-0.805901\pi\)
0.291333 + 0.956622i \(0.405901\pi\)
\(110\) 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 0.819927 0.572468i \(-0.194014\pi\)
0.123212 + 0.992380i \(0.460681\pi\)
\(114\) −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 0.731912 0.681400i \(-0.238628\pi\)
−0.421876 + 0.906653i \(0.638628\pi\)
\(128\) 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 0.239958 0.970783i \(-0.422866\pi\)
0.614065 + 0.789255i \(0.289533\pi\)
\(132\) 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 −0.827797 0.561027i \(-0.810406\pi\)
0.693064 0.720876i \(-0.256260\pi\)
\(138\) −2.88929 + 6.26514i −0.245953 + 0.533324i
\(139\) 1.95191 18.5712i 0.165559 1.57519i −0.524486 0.851419i \(-0.675743\pi\)
0.690045 0.723766i \(-0.257591\pi\)
\(140\) 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 0.984569 0.174996i \(-0.0559912\pi\)
−0.643835 + 0.765164i \(0.722658\pi\)
\(150\) −14.6511 8.08263i −1.19626 0.659944i
\(151\) −4.97506 + 8.61706i −0.404865 + 0.701247i −0.994306 0.106565i \(-0.966015\pi\)
0.589441 + 0.807812i \(0.299348\pi\)
\(152\) 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 −0.980875 0.194638i \(-0.937647\pi\)
0.321876 0.946782i \(-0.395687\pi\)
\(158\) −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 −0.380101 0.924945i \(-0.624111\pi\)
0.762217 + 0.647322i \(0.224111\pi\)
\(164\) 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 0.117144 0.993115i \(-0.462626\pi\)
0.510953 + 0.859609i \(0.329293\pi\)
\(168\) −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 −0.600739 0.799445i \(-0.705127\pi\)
0.192131 + 0.981369i \(0.438460\pi\)
\(174\) −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 −0.999201 0.0399587i \(-0.987277\pi\)
0.784884 0.619643i \(-0.212723\pi\)
\(180\) −7.86624 + 8.56084i −0.586315 + 0.638088i
\(181\) −1.70671 + 5.25272i −0.126859 + 0.390432i −0.994235 0.107221i \(-0.965805\pi\)
0.867376 + 0.497653i \(0.165805\pi\)
\(182\) 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 0.991431 + 0.130630i \(0.0417001\pi\)
−0.942606 + 0.333906i \(0.891633\pi\)
\(192\) −1.93877 9.75369i −0.139918 0.703912i
\(193\) −1.85003 3.20434i −0.133168 0.230653i 0.791728 0.610873i \(-0.209182\pi\)
−0.924896 + 0.380220i \(0.875848\pi\)
\(194\) 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 0.838079 + 0.545549i \(0.183679\pi\)
−0.357355 + 0.933969i \(0.616321\pi\)
\(198\) 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 −0.977642 0.210274i \(-0.932564\pi\)
0.999997 0.00241612i \(-0.000769075\pi\)
\(212\) 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 0.158043 0.987432i \(-0.449481\pi\)
0.839557 + 0.543272i \(0.182815\pi\)
\(224\) −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 −0.599829 0.800128i \(-0.704765\pi\)
0.193247 + 0.981150i \(0.438098\pi\)
\(228\) 4.75534 21.0025i 0.314930 1.39092i
\(229\) −8.22313 + 9.13271i −0.543400 + 0.603507i −0.950824 0.309732i \(-0.899761\pi\)
0.407424 + 0.913239i \(0.366427\pi\)
\(230\) 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 0.319929 + 0.947442i \(0.396341\pi\)
−0.815720 + 0.578447i \(0.803659\pi\)
\(234\) 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 0.424282 + 0.905530i \(0.360527\pi\)
−0.603280 + 0.797529i \(0.706140\pi\)
\(240\) 12.8801 + 11.5247i 0.831407 + 0.743913i
\(241\) −0.625085 5.94729i −0.0402653 0.383098i −0.996034 0.0889779i \(-0.971640\pi\)
0.955768 0.294121i \(-0.0950267\pi\)
\(242\) 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 0.929857 0.367921i \(-0.119930\pi\)
−0.783558 + 0.621319i \(0.786597\pi\)
\(258\) −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 −0.969517 0.245025i \(-0.921204\pi\)
0.897387 0.441244i \(-0.145463\pi\)
\(264\) 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 −0.901315 0.433165i \(-0.857397\pi\)
0.983787 + 0.179342i \(0.0573969\pi\)
\(270\) −21.1829 7.43329i −1.28915 0.452376i
\(271\) −2.71988 8.37092i −0.165221 0.508497i 0.833832 0.552019i \(-0.186142\pi\)
−0.999052 + 0.0435216i \(0.986142\pi\)
\(272\) −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 −0.676616 0.736336i \(-0.736554\pi\)
0.0944594 + 0.995529i \(0.469888\pi\)
\(278\) 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 0.947115 + 0.320893i \(0.103983\pi\)
0.220135 + 0.975470i \(0.429350\pi\)
\(282\) −8.99458 5.35285i −0.535619 0.318757i
\(283\) −5.64494 + 1.19987i −0.335557 + 0.0713248i −0.372609 0.927989i \(-0.621537\pi\)
0.0370520 + 0.999313i \(0.488203\pi\)
\(284\) −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 0.778229 0.627980i \(-0.216118\pi\)
−0.932961 + 0.359976i \(0.882785\pi\)
\(294\) −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 −0.926308 0.376768i \(-0.877035\pi\)
0.984400 0.175944i \(-0.0562979\pi\)
\(312\) 2.42967 0.222926i 0.137553 0.0126207i
\(313\) −2.64290 25.1455i −0.149385 1.42131i −0.770427 0.637529i \(-0.779957\pi\)
0.621041 0.783778i \(-0.286710\pi\)
\(314\) 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 0.967182 0.254083i \(-0.0817736\pi\)
−0.353789 + 0.935325i \(0.615107\pi\)
\(318\) −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 0.691185 0.722678i \(-0.257089\pi\)
−0.790967 + 0.611858i \(0.790422\pi\)
\(332\) 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 0.997549 + 0.0699777i \(0.0222928\pi\)
0.719494 + 0.694499i \(0.244374\pi\)
\(338\) 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 −0.180376 0.983598i \(-0.557731\pi\)
0.997064 + 0.0765735i \(0.0243980\pi\)
\(348\) 16.6332 + 1.97094i 0.891635 + 0.105653i
\(349\) −16.7926 + 29.0857i −0.898890 + 1.55692i −0.0699744 + 0.997549i \(0.522292\pi\)
−0.828915 + 0.559374i \(0.811042\pi\)
\(350\) 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 0.393030 0.919526i \(-0.371427\pi\)
−0.0149545 + 0.999888i \(0.504760\pi\)
\(354\) 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 0.510079 0.860128i \(-0.329616\pi\)
0.975653 0.219320i \(-0.0703837\pi\)
\(360\) −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 0.767645 0.640876i \(-0.221429\pi\)
−0.717606 + 0.696450i \(0.754762\pi\)
\(368\) −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 0.516655 + 0.856194i \(0.327177\pi\)
−0.683378 + 0.730065i \(0.739490\pi\)
\(374\) 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 0.921205 + 0.389077i \(0.127206\pi\)
−0.516577 + 0.856241i \(0.672794\pi\)
\(380\) −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 −0.138814 0.990318i \(-0.544329\pi\)
0.275986 + 0.961162i \(0.410996\pi\)
\(384\) −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 0.300463 0.953793i \(-0.402859\pi\)
0.909856 + 0.414924i \(0.136192\pi\)
\(390\) 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 0.955026 0.296521i \(-0.0958265\pi\)
−0.946923 + 0.321460i \(0.895827\pi\)
\(398\) −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 0.984961 0.172776i \(-0.0552738\pi\)
−0.642109 + 0.766613i \(0.721940\pi\)
\(402\) −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 −0.109371 0.994001i \(-0.534884\pi\)
−0.811870 + 0.583838i \(0.801550\pi\)
\(410\) 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 −0.896967 0.442097i \(-0.854235\pi\)
−0.639603 + 0.768705i \(0.720901\pi\)
\(420\) −15.7452 9.02506i −0.768288 0.440378i
\(421\) 7.32382 + 1.55673i 0.356941 + 0.0758702i 0.382892 0.923793i \(-0.374928\pi\)
−0.0259510 + 0.999663i \(0.508261\pi\)
\(422\) 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 0.257350 + 0.966318i \(0.417151\pi\)
−0.776188 + 0.630501i \(0.782849\pi\)
\(432\) 19.6058 + 12.3814i 0.943284 + 0.595700i
\(433\) −0.450743 + 1.38724i −0.0216613 + 0.0666667i −0.961303 0.275494i \(-0.911159\pi\)
0.939642 + 0.342160i \(0.111159\pi\)
\(434\) 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 0.0190810 0.999818i \(-0.493926\pi\)
0.755777 + 0.654829i \(0.227259\pi\)
\(440\) −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 −0.998334 0.0576964i \(-0.981624\pi\)
0.549134 + 0.835735i \(0.314958\pi\)
\(444\) 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 0.483673 + 0.875249i \(0.339303\pi\)
−0.999824 + 0.0187518i \(0.994031\pi\)
\(458\) 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 −0.829459 0.558567i \(-0.811351\pi\)
−0.139920 + 0.990163i \(0.544685\pi\)
\(462\) −3.10482 + 6.73249i −0.144449 + 0.313224i
\(463\) −7.78195 3.46475i −0.361658 0.161020i 0.217860 0.975980i \(-0.430092\pi\)
−0.579518 + 0.814960i \(0.696759\pi\)
\(464\) 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 −0.926363 0.376632i \(-0.877082\pi\)
0.970822 + 0.239801i \(0.0770822\pi\)
\(468\) −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 0.582365 0.812927i \(-0.302127\pi\)
0.201370 + 0.979515i \(0.435461\pi\)
\(480\) −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 −0.489007 0.872280i \(-0.662641\pi\)
0.678476 + 0.734623i \(0.262641\pi\)
\(488\) −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 0.725470 0.688253i \(-0.241622\pi\)
−0.0260375 + 0.999661i \(0.508289\pi\)
\(492\) −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 0.755877 0.654714i \(-0.227211\pi\)
−0.944937 + 0.327251i \(0.893878\pi\)
\(500\) −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 −0.983695 0.179843i \(-0.942441\pi\)
0.690117 0.723698i \(-0.257559\pi\)
\(504\) 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 0.519925 0.854212i \(-0.325960\pi\)
−0.286905 + 0.957959i \(0.592626\pi\)
\(510\) −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 0.909611 0.415460i \(-0.136379\pi\)
−0.980092 + 0.198542i \(0.936379\pi\)
\(522\) 9.17743 + 31.0131i 0.401685 + 1.35741i
\(523\) 31.9268 + 23.1962i 1.39606 + 1.01430i 0.995169 + 0.0981735i \(0.0313000\pi\)
0.400893 + 0.916125i \(0.368700\pi\)
\(524\) 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 −0.502233 0.864732i \(-0.667488\pi\)
0.667211 + 0.744869i \(0.267488\pi\)
\(542\) 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 −0.633537 0.773713i \(-0.718397\pi\)
−0.893462 + 0.449139i \(0.851731\pi\)
\(548\) −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 0.310845 0.950461i \(-0.399388\pi\)
−0.498334 + 0.866985i \(0.666055\pi\)
\(564\) 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 −0.985706 0.168477i \(-0.946115\pi\)
−0.0645199 0.997916i \(-0.520552\pi\)
\(570\) −40.0047 35.7948i −1.67561 1.49928i
\(571\) 0.660086 0.733100i 0.0276237 0.0306793i −0.729175 0.684328i \(-0.760096\pi\)
0.756798 + 0.653648i \(0.226762\pi\)
\(572\) 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 0.693113 0.720829i \(-0.256239\pi\)
−0.471365 + 0.881938i \(0.656239\pi\)
\(578\) 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 0.674682 + 0.738108i \(0.264281\pi\)
−0.506477 + 0.862253i \(0.669053\pi\)
\(588\) 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 −0.982109 0.188316i \(-0.939697\pi\)
0.327968 0.944689i \(-0.393636\pi\)
\(600\) 4.21949 1.46242i 0.172260 0.0597029i
\(601\) −19.3911 + 33.5864i −0.790981 + 1.37002i 0.134379 + 0.990930i \(0.457096\pi\)
−0.925360 + 0.379089i \(0.876237\pi\)
\(602\) −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 0.753185 0.657809i \(-0.228517\pi\)
−0.946272 + 0.323373i \(0.895183\pi\)
\(608\) 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 −0.995771 0.0918649i \(-0.970717\pi\)
−0.220342 + 0.975423i \(0.570717\pi\)
\(614\) −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 −0.228251 0.973602i \(-0.573301\pi\)
0.187482 + 0.982268i \(0.439967\pi\)
\(618\) 3.15841 1.76824i 0.127050 0.0711290i
\(619\) 8.59371 + 9.54428i 0.345410 + 0.383617i 0.890670 0.454650i \(-0.150236\pi\)
−0.545260 + 0.838267i \(0.683569\pi\)
\(620\) 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 −0.971455 0.237225i \(-0.923762\pi\)
0.925361 + 0.379088i \(0.123762\pi\)
\(632\) 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 −0.999047 0.0436428i \(-0.986104\pi\)
0.968142 0.250403i \(-0.0805630\pi\)
\(642\) −35.5527 12.0739i −1.40315 0.476517i
\(643\) 19.9559 + 34.5645i 0.786982 + 1.36309i 0.927808 + 0.373058i \(0.121691\pi\)
−0.140826 + 0.990034i \(0.544976\pi\)
\(644\) 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 0.923017 0.384759i \(-0.125715\pi\)
−0.972892 + 0.231259i \(0.925715\pi\)
\(648\) −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 −0.810936 0.585135i \(-0.801041\pi\)
0.666696 + 0.745330i \(0.267708\pi\)
\(654\) −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 −0.999430 0.0337487i \(-0.989255\pi\)
0.970574 0.240804i \(-0.0774112\pi\)
\(660\) 2.25272 + 5.01745i 0.0876869 + 0.195304i
\(661\) −3.60565 + 34.3055i −0.140243 + 1.33433i 0.667419 + 0.744682i \(0.267399\pi\)
−0.807662 + 0.589645i \(0.799268\pi\)
\(662\) 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 −0.866395 0.499359i \(-0.833569\pi\)
−0.208635 + 0.977993i \(0.566902\pi\)
\(674\) −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 −0.571742 0.820433i \(-0.693732\pi\)
0.227130 + 0.973864i \(0.427066\pi\)
\(678\) 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 −0.576226 0.817290i \(-0.695475\pi\)
0.946568 0.322504i \(-0.104525\pi\)
\(684\) −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 −0.921177 0.389144i \(-0.872771\pi\)
0.820140 0.572164i \(-0.193896\pi\)
\(692\) −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 0.971406 + 0.237426i \(0.0763037\pi\)
−0.900814 + 0.434204i \(0.857030\pi\)
\(710\) −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 −0.995907 0.0903796i \(-0.971192\pi\)
0.858830 + 0.512261i \(0.171192\pi\)
\(720\) −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 0.525848 0.850578i \(-0.323748\pi\)
0.983964 + 0.178366i \(0.0570813\pi\)
\(728\) 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 0.393683 0.919246i \(-0.371201\pi\)
0.733539 + 0.679648i \(0.237867\pi\)
\(734\) −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 0.183752 0.982973i \(-0.441176\pi\)
−0.878080 + 0.478514i \(0.841176\pi\)
\(740\) −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 −0.613783 0.789475i \(-0.710353\pi\)
−0.376814 0.926289i \(-0.622980\pi\)
\(744\) −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 0.628167 0.778079i \(-0.283806\pi\)
−0.987919 + 0.154969i \(0.950472\pi\)
\(752\) 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 −0.979660 0.200665i \(-0.935690\pi\)
0.999973 + 0.00740241i \(0.00235628\pi\)
\(762\) 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 0.322319 0.946631i \(-0.395538\pi\)
0.679482 + 0.733692i \(0.262204\pi\)
\(770\) 9.32840 2.14277i 0.336172 0.0772201i
\(771\) 1.7941