Properties

Label 225.2.q.a.106.26
Level $225$
Weight $2$
Character 225.106
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 106.26
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.26

$q$-expansion

\(f(q)\) \(=\) \(q+(2.14773 + 0.456515i) q^{2} +(-1.28647 - 1.15974i) q^{3} +(2.57727 + 1.14747i) q^{4} +(0.900133 + 2.04689i) q^{5} +(-2.23356 - 3.07811i) q^{6} +(1.61294 - 2.79370i) q^{7} +(1.45870 + 1.05981i) q^{8} +(0.310005 + 2.98394i) q^{9} +O(q^{10})\) \(q+(2.14773 + 0.456515i) q^{2} +(-1.28647 - 1.15974i) q^{3} +(2.57727 + 1.14747i) q^{4} +(0.900133 + 2.04689i) q^{5} +(-2.23356 - 3.07811i) q^{6} +(1.61294 - 2.79370i) q^{7} +(1.45870 + 1.05981i) q^{8} +(0.310005 + 2.98394i) q^{9} +(0.998810 + 4.80710i) q^{10} +(5.10860 + 1.08587i) q^{11} +(-1.98480 - 4.46515i) q^{12} +(-3.76781 + 0.800873i) q^{13} +(4.73954 - 5.26379i) q^{14} +(1.21587 - 3.67718i) q^{15} +(-1.12637 - 1.25097i) q^{16} +(-3.55929 - 2.58598i) q^{17} +(-0.696404 + 6.55023i) q^{18} +(-2.66915 - 1.93925i) q^{19} +(-0.0288689 + 6.30826i) q^{20} +(-5.31497 + 1.72341i) q^{21} +(10.4762 + 4.66431i) q^{22} +(-5.59186 + 6.21039i) q^{23} +(-0.647472 - 3.05513i) q^{24} +(-3.37952 + 3.68495i) q^{25} -8.45786 q^{26} +(3.06178 - 4.19827i) q^{27} +(7.36268 - 5.34930i) q^{28} +(-0.104794 - 0.997049i) q^{29} +(4.29005 - 7.34255i) q^{30} +(-0.352871 + 3.35734i) q^{31} +(-3.65112 - 6.32393i) q^{32} +(-5.31274 - 7.32159i) q^{33} +(-6.46388 - 7.17886i) q^{34} +(7.17026 + 0.786817i) q^{35} +(-2.62502 + 8.04613i) q^{36} +(-0.878044 + 2.70234i) q^{37} +(-4.84733 - 5.38351i) q^{38} +(5.77597 + 3.33938i) q^{39} +(-0.856288 + 3.93977i) q^{40} +(5.99171 - 1.27358i) q^{41} +(-12.2019 + 1.27507i) q^{42} +(2.26793 - 3.92817i) q^{43} +(11.9202 + 8.66056i) q^{44} +(-5.82875 + 3.32049i) q^{45} +(-14.8450 + 10.7855i) q^{46} +(-0.111400 - 1.05990i) q^{47} +(-0.00174910 + 2.91563i) q^{48} +(-1.70317 - 2.94998i) q^{49} +(-8.94055 + 6.37149i) q^{50} +(1.57986 + 7.45463i) q^{51} +(-10.6296 - 2.25940i) q^{52} +(6.03818 - 4.38700i) q^{53} +(8.49247 - 7.61902i) q^{54} +(2.37577 + 11.4342i) q^{55} +(5.31359 - 2.36576i) q^{56} +(1.18475 + 5.59031i) q^{57} +(0.230098 - 2.18924i) q^{58} +(-3.06903 + 0.652341i) q^{59} +(7.35308 - 8.08190i) q^{60} +(-8.43309 - 1.79251i) q^{61} +(-2.29055 + 7.04959i) q^{62} +(8.83625 + 3.94686i) q^{63} +(-3.91431 - 12.0470i) q^{64} +(-5.03083 - 6.99140i) q^{65} +(-8.06793 - 18.1502i) q^{66} +(-0.364144 + 3.46460i) q^{67} +(-6.20591 - 10.7489i) q^{68} +(14.3962 - 1.50437i) q^{69} +(15.0406 + 4.96321i) q^{70} +(11.0256 - 8.01056i) q^{71} +(-2.71020 + 4.68123i) q^{72} +(-0.320689 - 0.986980i) q^{73} +(-3.11946 + 5.40307i) q^{74} +(8.62123 - 0.821204i) q^{75} +(-4.65388 - 8.06075i) q^{76} +(11.2735 - 12.5205i) q^{77} +(10.8808 + 9.80893i) q^{78} +(0.840501 + 7.99683i) q^{79} +(1.54670 - 3.43160i) q^{80} +(-8.80779 + 1.85008i) q^{81} +13.4500 q^{82} +(5.24545 - 2.33542i) q^{83} +(-15.6757 - 1.65709i) q^{84} +(2.08938 - 9.61320i) q^{85} +(6.66418 - 7.40132i) q^{86} +(-1.02150 + 1.40421i) q^{87} +(6.30112 + 6.99811i) q^{88} +(2.92451 + 9.00073i) q^{89} +(-14.0345 + 4.47062i) q^{90} +(-3.83986 + 11.8179i) q^{91} +(-21.5380 + 9.58932i) q^{92} +(4.34760 - 3.90988i) q^{93} +(0.244603 - 2.32724i) q^{94} +(1.56685 - 7.20905i) q^{95} +(-2.63706 + 12.3699i) q^{96} +(0.199991 + 1.90279i) q^{97} +(-2.31125 - 7.11329i) q^{98} +(-1.65647 + 15.5804i) 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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.14773 + 0.456515i 1.51868 + 0.322805i 0.890398 0.455183i \(-0.150426\pi\)
0.628280 + 0.777988i \(0.283759\pi\)
\(3\) −1.28647 1.15974i −0.742743 0.669576i
\(4\) 2.57727 + 1.14747i 1.28863 + 0.573737i
\(5\) 0.900133 + 2.04689i 0.402552 + 0.915397i
\(6\) −2.23356 3.07811i −0.911845 1.25663i
\(7\) 1.61294 2.79370i 0.609635 1.05592i −0.381665 0.924301i \(-0.624649\pi\)
0.991300 0.131618i \(-0.0420174\pi\)
\(8\) 1.45870 + 1.05981i 0.515729 + 0.374699i
\(9\) 0.310005 + 2.98394i 0.103335 + 0.994647i
\(10\) 0.998810 + 4.80710i 0.315852 + 1.52014i
\(11\) 5.10860 + 1.08587i 1.54030 + 0.327401i 0.898328 0.439325i \(-0.144782\pi\)
0.641974 + 0.766726i \(0.278116\pi\)
\(12\) −1.98480 4.46515i −0.572963 1.28898i
\(13\) −3.76781 + 0.800873i −1.04500 + 0.222122i −0.698264 0.715840i \(-0.746044\pi\)
−0.346738 + 0.937962i \(0.612711\pi\)
\(14\) 4.73954 5.26379i 1.26670 1.40681i
\(15\) 1.21587 3.67718i 0.313936 0.949444i
\(16\) −1.12637 1.25097i −0.281594 0.312741i
\(17\) −3.55929 2.58598i −0.863255 0.627192i 0.0655134 0.997852i \(-0.479131\pi\)
−0.928769 + 0.370660i \(0.879131\pi\)
\(18\) −0.696404 + 6.55023i −0.164144 + 1.54390i
\(19\) −2.66915 1.93925i −0.612345 0.444895i 0.237894 0.971291i \(-0.423543\pi\)
−0.850239 + 0.526396i \(0.823543\pi\)
\(20\) −0.0288689 + 6.30826i −0.00645528 + 1.41057i
\(21\) −5.31497 + 1.72341i −1.15982 + 0.376080i
\(22\) 10.4762 + 4.66431i 2.23354 + 0.994434i
\(23\) −5.59186 + 6.21039i −1.16598 + 1.29496i −0.218249 + 0.975893i \(0.570035\pi\)
−0.947734 + 0.319062i \(0.896632\pi\)
\(24\) −0.647472 3.05513i −0.132165 0.623626i
\(25\) −3.37952 + 3.68495i −0.675904 + 0.736989i
\(26\) −8.45786 −1.65872
\(27\) 3.06178 4.19827i 0.589240 0.807958i
\(28\) 7.36268 5.34930i 1.39142 1.01092i
\(29\) −0.104794 0.997049i −0.0194598 0.185147i 0.980474 0.196648i \(-0.0630057\pi\)
−0.999934 + 0.0115009i \(0.996339\pi\)
\(30\) 4.29005 7.34255i 0.783252 1.34056i
\(31\) −0.352871 + 3.35734i −0.0633775 + 0.602996i 0.916031 + 0.401107i \(0.131375\pi\)
−0.979408 + 0.201889i \(0.935292\pi\)
\(32\) −3.65112 6.32393i −0.645434 1.11792i
\(33\) −5.31274 7.32159i −0.924829 1.27452i
\(34\) −6.46388 7.17886i −1.10855 1.23116i
\(35\) 7.17026 + 0.786817i 1.21200 + 0.132996i
\(36\) −2.62502 + 8.04613i −0.437504 + 1.34102i
\(37\) −0.878044 + 2.70234i −0.144349 + 0.444262i −0.996927 0.0783391i \(-0.975038\pi\)
0.852577 + 0.522601i \(0.175038\pi\)
\(38\) −4.84733 5.38351i −0.786341 0.873320i
\(39\) 5.77597 + 3.33938i 0.924896 + 0.534729i
\(40\) −0.856288 + 3.93977i −0.135391 + 0.622933i
\(41\) 5.99171 1.27358i 0.935748 0.198899i 0.285290 0.958441i \(-0.407910\pi\)
0.650458 + 0.759542i \(0.274577\pi\)
\(42\) −12.2019 + 1.27507i −1.88279 + 0.196748i
\(43\) 2.26793 3.92817i 0.345856 0.599041i −0.639653 0.768664i \(-0.720922\pi\)
0.985509 + 0.169624i \(0.0542552\pi\)
\(44\) 11.9202 + 8.66056i 1.79704 + 1.30563i
\(45\) −5.82875 + 3.32049i −0.868899 + 0.494989i
\(46\) −14.8450 + 10.7855i −2.18877 + 1.59023i
\(47\) −0.111400 1.05990i −0.0162494 0.154603i 0.983388 0.181514i \(-0.0580996\pi\)
−0.999638 + 0.0269110i \(0.991433\pi\)
\(48\) −0.00174910 + 2.91563i −0.000252460 + 0.420835i
\(49\) −1.70317 2.94998i −0.243310 0.421425i
\(50\) −8.94055 + 6.37149i −1.26438 + 0.901064i
\(51\) 1.57986 + 7.45463i 0.221224 + 1.04386i
\(52\) −10.6296 2.25940i −1.47406 0.313322i
\(53\) 6.03818 4.38700i 0.829408 0.602600i −0.0899837 0.995943i \(-0.528682\pi\)
0.919392 + 0.393343i \(0.128682\pi\)
\(54\) 8.49247 7.61902i 1.15568 1.03682i
\(55\) 2.37577 + 11.4342i 0.320349 + 1.54178i
\(56\) 5.31359 2.36576i 0.710059 0.316139i
\(57\) 1.18475 + 5.59031i 0.156924 + 0.740455i
\(58\) 0.230098 2.18924i 0.0302134 0.287461i
\(59\) −3.06903 + 0.652341i −0.399553 + 0.0849276i −0.403306 0.915065i \(-0.632139\pi\)
0.00375258 + 0.999993i \(0.498806\pi\)
\(60\) 7.35308 8.08190i 0.949279 1.04337i
\(61\) −8.43309 1.79251i −1.07975 0.229507i −0.366498 0.930419i \(-0.619443\pi\)
−0.713248 + 0.700912i \(0.752777\pi\)
\(62\) −2.29055 + 7.04959i −0.290900 + 0.895298i
\(63\) 8.83625 + 3.94686i 1.11326 + 0.497258i
\(64\) −3.91431 12.0470i −0.489289 1.50588i
\(65\) −5.03083 6.99140i −0.623997 0.867177i
\(66\) −8.06793 18.1502i −0.993094 2.23413i
\(67\) −0.364144 + 3.46460i −0.0444873 + 0.423268i 0.949500 + 0.313768i \(0.101592\pi\)
−0.993987 + 0.109500i \(0.965075\pi\)
\(68\) −6.20591 10.7489i −0.752577 1.30350i
\(69\) 14.3962 1.50437i 1.73310 0.181105i
\(70\) 15.0406 + 4.96321i 1.79770 + 0.593217i
\(71\) 11.0256 8.01056i 1.30850 0.950678i 0.308496 0.951226i \(-0.400174\pi\)
1.00000 0.000547588i \(0.000174303\pi\)
\(72\) −2.71020 + 4.68123i −0.319400 + 0.551688i
\(73\) −0.320689 0.986980i −0.0375338 0.115517i 0.930534 0.366205i \(-0.119343\pi\)
−0.968068 + 0.250688i \(0.919343\pi\)
\(74\) −3.11946 + 5.40307i −0.362630 + 0.628094i
\(75\) 8.62123 0.821204i 0.995494 0.0948245i
\(76\) −4.65388 8.06075i −0.533836 0.924631i
\(77\) 11.2735 12.5205i 1.28473 1.42684i
\(78\) 10.8808 + 9.80893i 1.23201 + 1.11064i
\(79\) 0.840501 + 7.99683i 0.0945638 + 0.899714i 0.934244 + 0.356634i \(0.116076\pi\)
−0.839681 + 0.543081i \(0.817258\pi\)
\(80\) 1.54670 3.43160i 0.172927 0.383665i
\(81\) −8.80779 + 1.85008i −0.978644 + 0.205564i
\(82\) 13.4500 1.48531
\(83\) 5.24545 2.33542i 0.575762 0.256346i −0.0981322 0.995173i \(-0.531287\pi\)
0.673895 + 0.738827i \(0.264620\pi\)
\(84\) −15.6757 1.65709i −1.71035 0.180803i
\(85\) 2.08938 9.61320i 0.226625 1.04270i
\(86\) 6.66418 7.40132i 0.718617 0.798105i
\(87\) −1.02150 + 1.40421i −0.109517 + 0.150547i
\(88\) 6.30112 + 6.99811i 0.671702 + 0.746001i
\(89\) 2.92451 + 9.00073i 0.309998 + 0.954075i 0.977765 + 0.209705i \(0.0672502\pi\)
−0.667767 + 0.744370i \(0.732750\pi\)
\(90\) −14.0345 + 4.47062i −1.47936 + 0.471245i
\(91\) −3.83986 + 11.8179i −0.402527 + 1.23885i
\(92\) −21.5380 + 9.58932i −2.24549 + 0.999756i
\(93\) 4.34760 3.90988i 0.450825 0.405435i
\(94\) 0.244603 2.32724i 0.0252289 0.240037i
\(95\) 1.56685 7.20905i 0.160755 0.739632i
\(96\) −2.63706 + 12.3699i −0.269144 + 1.26250i
\(97\) 0.199991 + 1.90279i 0.0203060 + 0.193199i 0.999972 0.00743485i \(-0.00236661\pi\)
−0.979666 + 0.200634i \(0.935700\pi\)
\(98\) −2.31125 7.11329i −0.233471 0.718551i
\(99\) −1.65647 + 15.5804i −0.166481 + 1.56589i
\(100\) −12.9383 + 5.61918i −1.29383 + 0.561918i
\(101\) 2.15175 3.72694i 0.214107 0.370844i −0.738889 0.673827i \(-0.764649\pi\)
0.952996 + 0.302983i \(0.0979826\pi\)
\(102\) −0.0100375 + 16.7318i −0.000993856 + 1.65670i
\(103\) 0.973725 + 0.433530i 0.0959440 + 0.0427170i 0.454147 0.890927i \(-0.349944\pi\)
−0.358203 + 0.933644i \(0.616611\pi\)
\(104\) −6.34489 2.82493i −0.622167 0.277007i
\(105\) −8.31181 9.32785i −0.811150 0.910305i
\(106\) 14.9711 6.66558i 1.45413 0.647419i
\(107\) 12.2827 1.18741 0.593706 0.804682i \(-0.297664\pi\)
0.593706 + 0.804682i \(0.297664\pi\)
\(108\) 12.7084 7.30675i 1.22287 0.703093i
\(109\) 0.413257 1.27187i 0.0395828 0.121823i −0.929313 0.369294i \(-0.879599\pi\)
0.968895 + 0.247471i \(0.0795994\pi\)
\(110\) −0.117348 + 25.6422i −0.0111887 + 2.44488i
\(111\) 4.26359 2.45818i 0.404682 0.233320i
\(112\) −5.31160 + 1.12902i −0.501899 + 0.106682i
\(113\) −4.90531 + 1.04266i −0.461453 + 0.0980848i −0.432771 0.901504i \(-0.642464\pi\)
−0.0286816 + 0.999589i \(0.509131\pi\)
\(114\) −0.00752720 + 12.5474i −0.000704987 + 1.17517i
\(115\) −17.7454 5.85575i −1.65477 0.546051i
\(116\) 0.874005 2.68991i 0.0811493 0.249752i
\(117\) −3.55780 10.9946i −0.328918 1.01645i
\(118\) −6.88926 −0.634207
\(119\) −12.9654 + 5.77256i −1.18853 + 0.529170i
\(120\) 5.67070 4.07533i 0.517662 0.372025i
\(121\) 14.8697 + 6.62043i 1.35179 + 0.601857i
\(122\) −17.2937 7.69966i −1.56570 0.697095i
\(123\) −9.18517 5.31041i −0.828199 0.478824i
\(124\) −4.76190 + 8.24785i −0.427631 + 0.740679i
\(125\) −10.5847 3.60057i −0.946725 0.322045i
\(126\) 17.1761 + 12.5107i 1.53017 + 1.11454i
\(127\) 1.06344 + 3.27294i 0.0943651 + 0.290426i 0.987088 0.160181i \(-0.0512077\pi\)
−0.892723 + 0.450607i \(0.851208\pi\)
\(128\) −1.38068 13.1363i −0.122036 1.16109i
\(129\) −7.47328 + 2.42326i −0.657986 + 0.213356i
\(130\) −7.61320 17.3123i −0.667722 1.51839i
\(131\) −0.0776604 + 0.738889i −0.00678522 + 0.0645571i −0.997391 0.0721949i \(-0.977000\pi\)
0.990605 + 0.136752i \(0.0436663\pi\)
\(132\) −5.29102 24.9659i −0.460524 2.17300i
\(133\) −9.72288 + 4.32890i −0.843080 + 0.375364i
\(134\) −2.36373 + 7.27480i −0.204195 + 0.628447i
\(135\) 11.3494 + 2.48813i 0.976802 + 0.214144i
\(136\) −2.45131 7.54435i −0.210198 0.646922i
\(137\) 5.36423 + 5.95758i 0.458297 + 0.508991i 0.927358 0.374175i \(-0.122074\pi\)
−0.469061 + 0.883166i \(0.655408\pi\)
\(138\) 31.6060 + 3.34109i 2.69048 + 0.284413i
\(139\) 8.44962 9.38425i 0.716687 0.795962i −0.269251 0.963070i \(-0.586776\pi\)
0.985939 + 0.167108i \(0.0534429\pi\)
\(140\) 17.5768 + 10.2555i 1.48551 + 0.866749i
\(141\) −1.08590 + 1.49273i −0.0914491 + 0.125710i
\(142\) 27.3370 12.1712i 2.29407 1.02138i
\(143\) −20.1179 −1.68234
\(144\) 3.38362 3.74884i 0.281969 0.312403i
\(145\) 1.94652 1.11198i 0.161650 0.0923448i
\(146\) −0.238184 2.26617i −0.0197123 0.187550i
\(147\) −1.23013 + 5.77029i −0.101460 + 0.475926i
\(148\) −5.36382 + 5.95712i −0.440903 + 0.489672i
\(149\) 10.0206 + 17.3561i 0.820917 + 1.42187i 0.905000 + 0.425411i \(0.139870\pi\)
−0.0840836 + 0.996459i \(0.526796\pi\)
\(150\) 18.8910 + 2.17199i 1.54244 + 0.177342i
\(151\) −5.05712 + 8.75919i −0.411543 + 0.712813i −0.995059 0.0992889i \(-0.968343\pi\)
0.583516 + 0.812102i \(0.301677\pi\)
\(152\) −1.83826 5.65759i −0.149103 0.458891i
\(153\) 6.61300 11.4224i 0.534629 0.923445i
\(154\) 29.9282 21.7441i 2.41168 1.75219i
\(155\) −7.18974 + 2.29977i −0.577494 + 0.184722i
\(156\) 11.0544 + 15.2343i 0.885058 + 1.21972i
\(157\) −2.63111 4.55722i −0.209986 0.363706i 0.741724 0.670705i \(-0.234008\pi\)
−0.951710 + 0.306999i \(0.900675\pi\)
\(158\) −1.84550 + 17.5588i −0.146820 + 1.39690i
\(159\) −12.8557 1.35899i −1.01952 0.107775i
\(160\) 9.65790 13.1658i 0.763524 1.04085i
\(161\) 8.33061 + 25.6390i 0.656544 + 2.02063i
\(162\) −19.7614 0.0474197i −1.55260 0.00372565i
\(163\) 7.04326 21.6769i 0.551670 1.69787i −0.152907 0.988241i \(-0.548864\pi\)
0.704578 0.709627i \(-0.251136\pi\)
\(164\) 16.9036 + 3.59298i 1.31995 + 0.280565i
\(165\) 10.2043 17.4650i 0.794405 1.35965i
\(166\) 12.3320 2.62124i 0.957147 0.203448i
\(167\) −0.733074 + 6.97473i −0.0567269 + 0.539721i 0.928846 + 0.370467i \(0.120802\pi\)
−0.985573 + 0.169254i \(0.945864\pi\)
\(168\) −9.57945 3.11891i −0.739070 0.240629i
\(169\) 1.67890 0.747494i 0.129146 0.0574995i
\(170\) 8.87600 19.6928i 0.680758 1.51037i
\(171\) 4.95916 8.56577i 0.379236 0.655040i
\(172\) 10.3525 7.52156i 0.789373 0.573513i
\(173\) −4.77800 1.01560i −0.363265 0.0772143i 0.0226634 0.999743i \(-0.492785\pi\)
−0.385928 + 0.922529i \(0.626119\pi\)
\(174\) −2.83496 + 2.54953i −0.214918 + 0.193279i
\(175\) 4.84366 + 15.3850i 0.366146 + 1.16299i
\(176\) −4.39582 7.61378i −0.331347 0.573910i
\(177\) 4.70475 + 2.72005i 0.353631 + 0.204452i
\(178\) 2.17211 + 20.6663i 0.162807 + 1.54900i
\(179\) −2.87256 + 2.08704i −0.214705 + 0.155993i −0.689940 0.723866i \(-0.742363\pi\)
0.475235 + 0.879859i \(0.342363\pi\)
\(180\) −18.8324 + 1.86945i −1.40369 + 0.139341i
\(181\) −6.24166 4.53483i −0.463939 0.337071i 0.331136 0.943583i \(-0.392568\pi\)
−0.795074 + 0.606512i \(0.792568\pi\)
\(182\) −13.6421 + 23.6287i −1.01122 + 1.75148i
\(183\) 8.77006 + 12.0862i 0.648302 + 0.893437i
\(184\) −14.7387 + 3.13281i −1.08655 + 0.230953i
\(185\) −6.32175 + 0.635207i −0.464784 + 0.0467013i
\(186\) 11.1224 6.41263i 0.815535 0.470197i
\(187\) −15.3750 17.0757i −1.12433 1.24870i
\(188\) 0.929101 2.85948i 0.0677616 0.208549i
\(189\) −6.79023 15.3253i −0.493917 1.11475i
\(190\) 6.65621 14.7678i 0.482892 1.07137i
\(191\) −13.8479 15.3796i −1.00200 1.11283i −0.993610 0.112866i \(-0.963997\pi\)
−0.00838758 0.999965i \(-0.502670\pi\)
\(192\) −8.93577 + 20.0377i −0.644884 + 1.44610i
\(193\) −7.77957 13.4746i −0.559986 0.969924i −0.997497 0.0707108i \(-0.977473\pi\)
0.437511 0.899213i \(-0.355860\pi\)
\(194\) −0.439123 + 4.17798i −0.0315272 + 0.299961i
\(195\) −1.63620 + 14.8287i −0.117171 + 1.06190i
\(196\) −1.00450 9.55722i −0.0717503 0.682659i
\(197\) −10.3126 + 7.49255i −0.734743 + 0.533822i −0.891060 0.453885i \(-0.850038\pi\)
0.156318 + 0.987707i \(0.450038\pi\)
\(198\) −10.6703 + 32.7063i −0.758308 + 2.32434i
\(199\) −12.3483 −0.875345 −0.437673 0.899134i \(-0.644197\pi\)
−0.437673 + 0.899134i \(0.644197\pi\)
\(200\) −8.83506 + 1.79359i −0.624733 + 0.126826i
\(201\) 4.48649 4.03479i 0.316453 0.284592i
\(202\) 6.32279 7.02217i 0.444870 0.494078i
\(203\) −2.95448 1.31542i −0.207364 0.0923244i
\(204\) −4.48228 + 21.0254i −0.313822 + 1.47207i
\(205\) 8.00021 + 11.1180i 0.558759 + 0.776514i
\(206\) 1.89339 + 1.37563i 0.131919 + 0.0958446i
\(207\) −20.2649 14.7605i −1.40851 1.02593i
\(208\) 5.24583 + 3.81132i 0.363733 + 0.264267i
\(209\) −11.5299 12.8052i −0.797538 0.885755i
\(210\) −13.5933 23.8282i −0.938024 1.64430i
\(211\) −1.81934 + 2.02058i −0.125248 + 0.139102i −0.802507 0.596643i \(-0.796501\pi\)
0.677259 + 0.735745i \(0.263168\pi\)
\(212\) 20.5960 4.37781i 1.41454 0.300669i
\(213\) −23.4742 2.48148i −1.60843 0.170028i
\(214\) 26.3799 + 5.60723i 1.80330 + 0.383302i
\(215\) 10.0820 + 1.10633i 0.687585 + 0.0754510i
\(216\) 8.91560 2.87913i 0.606630 0.195900i
\(217\) 8.81024 + 6.40101i 0.598078 + 0.434529i
\(218\) 1.46820 2.54299i 0.0994388 0.172233i
\(219\) −0.732084 + 1.64164i −0.0494696 + 0.110931i
\(220\) −6.99741 + 32.1951i −0.471766 + 2.17059i
\(221\) 15.4818 + 6.89293i 1.04142 + 0.463669i
\(222\) 10.2793 3.33311i 0.689898 0.223704i
\(223\) 17.1974 + 3.65542i 1.15162 + 0.244785i 0.743881 0.668313i \(-0.232983\pi\)
0.407741 + 0.913097i \(0.366316\pi\)
\(224\) −23.5562 −1.57392
\(225\) −12.0433 8.94193i −0.802889 0.596129i
\(226\) −11.0113 −0.732461
\(227\) 22.7969 + 4.84564i 1.51309 + 0.321616i 0.888331 0.459205i \(-0.151866\pi\)
0.624755 + 0.780821i \(0.285199\pi\)
\(228\) −3.36131 + 15.7672i −0.222608 + 1.04421i
\(229\) −21.5190 9.58088i −1.42202 0.633122i −0.455619 0.890175i \(-0.650582\pi\)
−0.966397 + 0.257052i \(0.917249\pi\)
\(230\) −35.4392 20.6776i −2.33679 1.36344i
\(231\) −29.0235 + 3.03289i −1.90960 + 0.199549i
\(232\) 0.903819 1.56546i 0.0593386 0.102778i
\(233\) −12.4694 9.05954i −0.816897 0.593510i 0.0989251 0.995095i \(-0.468460\pi\)
−0.915822 + 0.401585i \(0.868460\pi\)
\(234\) −2.62198 25.2378i −0.171404 1.64984i
\(235\) 2.06923 1.18208i 0.134982 0.0771102i
\(236\) −8.65824 1.84037i −0.563604 0.119798i
\(237\) 8.19297 11.2624i 0.532191 0.731574i
\(238\) −30.4815 + 6.47903i −1.97582 + 0.419973i
\(239\) 16.3356 18.1425i 1.05666 1.17354i 0.0722970 0.997383i \(-0.476967\pi\)
0.984362 0.176156i \(-0.0563663\pi\)
\(240\) −5.96955 + 2.62087i −0.385333 + 0.169177i
\(241\) 9.25531 + 10.2791i 0.596187 + 0.662132i 0.963420 0.267996i \(-0.0863615\pi\)
−0.367233 + 0.930129i \(0.619695\pi\)
\(242\) 28.9139 + 21.0072i 1.85866 + 1.35039i
\(243\) 13.4766 + 7.83469i 0.864522 + 0.502595i
\(244\) −19.6775 14.2965i −1.25972 0.915240i
\(245\) 4.50520 6.14158i 0.287827 0.392371i
\(246\) −17.3030 15.5985i −1.10320 0.994526i
\(247\) 11.6099 + 5.16908i 0.738723 + 0.328901i
\(248\) −4.07288 + 4.52339i −0.258628 + 0.287235i
\(249\) −9.45659 3.07890i −0.599287 0.195118i
\(250\) −21.0894 12.5651i −1.33381 0.794689i
\(251\) −25.5927 −1.61539 −0.807697 0.589597i \(-0.799286\pi\)
−0.807697 + 0.589597i \(0.799286\pi\)
\(252\) 18.2445 + 20.3115i 1.14929 + 1.27950i
\(253\) −35.3102 + 25.6544i −2.21994 + 1.61288i
\(254\) 0.789845 + 7.51487i 0.0495593 + 0.471525i
\(255\) −13.8367 + 9.94396i −0.866490 + 0.622715i
\(256\) 0.383451 3.64829i 0.0239657 0.228018i
\(257\) 10.0340 + 17.3794i 0.625904 + 1.08410i 0.988365 + 0.152098i \(0.0486030\pi\)
−0.362462 + 0.931999i \(0.618064\pi\)
\(258\) −17.1569 + 1.79286i −1.06814 + 0.111618i
\(259\) 6.13329 + 6.81171i 0.381104 + 0.423259i
\(260\) −4.94334 23.7914i −0.306573 1.47548i
\(261\) 2.94265 0.621790i 0.182145 0.0384878i
\(262\) −0.504108 + 1.55148i −0.0311439 + 0.0958511i
\(263\) 15.1483 + 16.8239i 0.934087 + 1.03741i 0.999218 + 0.0395323i \(0.0125868\pi\)
−0.0651310 + 0.997877i \(0.520747\pi\)
\(264\) 0.00978472 16.3105i 0.000602208 1.00384i
\(265\) 14.4149 + 8.41062i 0.885498 + 0.516660i
\(266\) −22.8584 + 4.85870i −1.40154 + 0.297906i
\(267\) 6.67621 14.9708i 0.408577 0.916200i
\(268\) −4.91403 + 8.51135i −0.300172 + 0.519914i
\(269\) 1.07380 + 0.780162i 0.0654708 + 0.0475673i 0.620039 0.784571i \(-0.287117\pi\)
−0.554568 + 0.832138i \(0.687117\pi\)
\(270\) 23.2397 + 10.5250i 1.41432 + 0.640532i
\(271\) 19.3662 14.0704i 1.17641 0.854714i 0.184650 0.982804i \(-0.440885\pi\)
0.991762 + 0.128091i \(0.0408848\pi\)
\(272\) 0.774128 + 7.36533i 0.0469384 + 0.446589i
\(273\) 18.6455 10.7501i 1.12848 0.650626i
\(274\) 8.80122 + 15.2442i 0.531701 + 0.920933i
\(275\) −21.2660 + 15.1552i −1.28239 + 0.913894i
\(276\) 38.8290 + 12.6421i 2.33723 + 0.760964i
\(277\) −13.8752 2.94926i −0.833680 0.177204i −0.228752 0.973485i \(-0.573465\pi\)
−0.604928 + 0.796281i \(0.706798\pi\)
\(278\) 22.4316 16.2975i 1.34536 0.977459i
\(279\) −10.1275 0.0121510i −0.606317 0.000727463i
\(280\) 9.62540 + 8.74684i 0.575228 + 0.522724i
\(281\) 13.2772 5.91140i 0.792052 0.352644i 0.0294948 0.999565i \(-0.490610\pi\)
0.762557 + 0.646921i \(0.223943\pi\)
\(282\) −3.01367 + 2.71025i −0.179462 + 0.161393i
\(283\) 0.751288 7.14803i 0.0446595 0.424906i −0.949235 0.314569i \(-0.898140\pi\)
0.993894 0.110338i \(-0.0351932\pi\)
\(284\) 37.6078 7.99378i 2.23161 0.474343i
\(285\) −10.3763 + 7.45708i −0.614640 + 0.441719i
\(286\) −43.2079 9.18412i −2.55494 0.543068i
\(287\) 6.10630 18.7933i 0.360443 1.10933i
\(288\) 17.7384 12.8552i 1.04524 0.757499i
\(289\) 0.727994 + 2.24054i 0.0428232 + 0.131796i
\(290\) 4.68825 1.49962i 0.275303 0.0880607i
\(291\) 1.94946 2.67981i 0.114279 0.157093i
\(292\) 0.306031 2.91169i 0.0179091 0.170394i
\(293\) −2.28853 3.96384i −0.133697 0.231570i 0.791402 0.611296i \(-0.209352\pi\)
−0.925099 + 0.379726i \(0.876018\pi\)
\(294\) −5.27622 + 11.8315i −0.307715 + 0.690026i
\(295\) −4.09780 5.69476i −0.238583 0.331562i
\(296\) −4.14477 + 3.01135i −0.240910 + 0.175031i
\(297\) 20.2002 18.1226i 1.17213 1.05158i
\(298\) 13.5982 + 41.8509i 0.787721 + 2.42436i
\(299\) 16.0953 27.8779i 0.930817 1.61222i
\(300\) 23.1615 + 7.77617i 1.33723 + 0.448957i
\(301\) −7.31609 12.6718i −0.421692 0.730392i
\(302\) −14.8601 + 16.5038i −0.855100 + 0.949685i
\(303\) −7.09044 + 2.29912i −0.407335 + 0.132081i
\(304\) 0.580527 + 5.52334i 0.0332955 + 0.316785i
\(305\) −3.92183 18.8751i −0.224563 1.08079i
\(306\) 19.4175 21.5133i 1.11002 1.22983i
\(307\) 4.27331 0.243891 0.121945 0.992537i \(-0.461087\pi\)
0.121945 + 0.992537i \(0.461087\pi\)
\(308\) 43.4216 19.3326i 2.47418 1.10157i
\(309\) −0.749885 1.68699i −0.0426594 0.0959696i
\(310\) −16.4915 + 1.65706i −0.936656 + 0.0941148i
\(311\) 0.233840 0.259706i 0.0132599 0.0147266i −0.736478 0.676461i \(-0.763513\pi\)
0.749738 + 0.661734i \(0.230179\pi\)
\(312\) 4.88632 + 10.9926i 0.276633 + 0.622333i
\(313\) 6.46078 + 7.17542i 0.365185 + 0.405579i 0.897533 0.440947i \(-0.145357\pi\)
−0.532349 + 0.846525i \(0.678690\pi\)
\(314\) −3.57049 10.9889i −0.201495 0.620137i
\(315\) −0.124994 + 21.6395i −0.00704263 + 1.21925i
\(316\) −7.00996 + 21.5744i −0.394341 + 1.21366i
\(317\) −1.38073 + 0.614743i −0.0775498 + 0.0345274i −0.445145 0.895459i \(-0.646848\pi\)
0.367595 + 0.929986i \(0.380181\pi\)
\(318\) −26.9903 8.78757i −1.51354 0.492782i
\(319\) 0.547312 5.20732i 0.0306436 0.291554i
\(320\) 21.1355 18.8561i 1.18151 1.05409i
\(321\) −15.8013 14.2447i −0.881942 0.795062i
\(322\) 6.18736 + 58.8688i 0.344808 + 3.28063i
\(323\) 4.48543 + 13.8047i 0.249576 + 0.768116i
\(324\) −24.8229 5.33857i −1.37905 0.296587i
\(325\) 9.78222 16.5907i 0.542620 0.920289i
\(326\) 25.0229 43.3409i 1.38589 2.40043i
\(327\) −2.00669 + 1.15696i −0.110970 + 0.0639798i
\(328\) 10.0899 + 4.49230i 0.557120 + 0.248046i
\(329\) −3.14073 1.39834i −0.173154 0.0770931i
\(330\) 29.8892 32.8517i 1.64535 1.80843i
\(331\) 1.47785 0.657983i 0.0812301 0.0361660i −0.365719 0.930725i \(-0.619177\pi\)
0.446950 + 0.894559i \(0.352510\pi\)
\(332\) 16.1987 0.889022
\(333\) −8.33582 1.78229i −0.456800 0.0976688i
\(334\) −4.75852 + 14.6452i −0.260374 + 0.801350i
\(335\) −7.41943 + 2.37324i −0.405367 + 0.129664i
\(336\) 8.14257 + 4.70763i 0.444214 + 0.256822i
\(337\) 8.95098 1.90259i 0.487591 0.103641i 0.0424451 0.999099i \(-0.486485\pi\)
0.445146 + 0.895458i \(0.353152\pi\)
\(338\) 3.94707 0.838976i 0.214692 0.0456343i
\(339\) 7.51974 + 4.34754i 0.408416 + 0.236126i
\(340\) 16.4158 22.3783i 0.890270 1.21363i
\(341\) −5.44830 + 16.7682i −0.295042 + 0.908046i
\(342\) 14.5614 16.1331i 0.787388 0.872376i
\(343\) 11.5927 0.625949
\(344\) 7.47135 3.32646i 0.402828 0.179351i
\(345\) 16.0378 + 28.1133i 0.863444 + 1.51357i
\(346\) −9.79824 4.36246i −0.526757 0.234527i
\(347\) −26.5194 11.8072i −1.42364 0.633845i −0.456878 0.889529i \(-0.651033\pi\)
−0.966760 + 0.255684i \(0.917699\pi\)
\(348\) −4.24398 + 2.44687i −0.227501 + 0.131166i
\(349\) 7.82775 13.5581i 0.419010 0.725746i −0.576830 0.816864i \(-0.695711\pi\)
0.995840 + 0.0911179i \(0.0290440\pi\)
\(350\) 3.37942 + 35.2540i 0.180638 + 1.88441i
\(351\) −8.17393 + 18.2704i −0.436292 + 0.975201i
\(352\) −11.7852 36.2711i −0.628153 1.93326i
\(353\) 3.56260 + 33.8959i 0.189618 + 1.80410i 0.513597 + 0.858032i \(0.328313\pi\)
−0.323979 + 0.946064i \(0.605021\pi\)
\(354\) 8.86281 + 7.98975i 0.471053 + 0.424650i
\(355\) 26.3212 + 15.3576i 1.39699 + 0.815097i
\(356\) −2.79084 + 26.5531i −0.147914 + 1.40731i
\(357\) 23.3742 + 7.61025i 1.23710 + 0.402777i
\(358\) −7.12227 + 3.17104i −0.376423 + 0.167595i
\(359\) −5.81490 + 17.8964i −0.306898 + 0.944536i 0.672064 + 0.740494i \(0.265408\pi\)
−0.978962 + 0.204043i \(0.934592\pi\)
\(360\) −12.0215 1.33376i −0.633589 0.0702953i
\(361\) −2.50765 7.71776i −0.131982 0.406198i
\(362\) −11.3352 12.5890i −0.595765 0.661665i
\(363\) −11.4515 25.7620i −0.601046 1.35215i
\(364\) −23.4571 + 26.0517i −1.22948 + 1.36548i
\(365\) 1.73158 1.54483i 0.0906349 0.0808600i
\(366\) 13.3182 + 29.9616i 0.696155 + 1.56612i
\(367\) −8.82813 + 3.93054i −0.460824 + 0.205172i −0.623999 0.781425i \(-0.714493\pi\)
0.163175 + 0.986597i \(0.447827\pi\)
\(368\) 14.0675 0.733320
\(369\) 5.65774 + 17.4841i 0.294530 + 0.910186i
\(370\) −13.8674 1.52172i −0.720933 0.0791104i
\(371\) −2.51670 23.9448i −0.130661 1.24315i
\(372\) 15.6914 5.08804i 0.813561 0.263803i
\(373\) −10.1373 + 11.2587i −0.524892 + 0.582951i −0.946044 0.324039i \(-0.894959\pi\)
0.421152 + 0.906990i \(0.361626\pi\)
\(374\) −25.2261 43.6929i −1.30441 2.25931i
\(375\) 9.44117 + 16.9075i 0.487540 + 0.873101i
\(376\) 0.960794 1.66414i 0.0495492 0.0858217i
\(377\) 1.19335 + 3.67276i 0.0614608 + 0.189157i
\(378\) −7.58739 36.0145i −0.390253 1.85238i
\(379\) 18.3810 13.3546i 0.944168 0.685978i −0.00525227 0.999986i \(-0.501672\pi\)
0.949420 + 0.314008i \(0.101672\pi\)
\(380\) 12.3104 16.7817i 0.631508 0.860884i
\(381\) 2.42767 5.44385i 0.124373 0.278897i
\(382\) −22.7205 39.3531i −1.16248 2.01348i
\(383\) −2.07829 + 19.7736i −0.106196 + 1.01039i 0.803555 + 0.595231i \(0.202939\pi\)
−0.909751 + 0.415155i \(0.863727\pi\)
\(384\) −13.4584 + 18.5006i −0.686798 + 0.944105i
\(385\) 35.7756 + 11.8055i 1.82330 + 0.601663i
\(386\) −10.5571 32.4914i −0.537342 1.65377i
\(387\) 12.4245 + 5.54961i 0.631573 + 0.282103i
\(388\) −1.66797 + 5.13347i −0.0846782 + 0.260613i
\(389\) −22.2828 4.73636i −1.12978 0.240143i −0.395156 0.918614i \(-0.629309\pi\)
−0.734627 + 0.678471i \(0.762643\pi\)
\(390\) −10.2836 + 31.1011i −0.520733 + 1.57487i
\(391\) 35.9630 7.64417i 1.81873 0.386582i
\(392\) 0.641995 6.10818i 0.0324257 0.308510i
\(393\) 0.956827 0.860492i 0.0482655 0.0434061i
\(394\) −25.5692 + 11.3841i −1.28816 + 0.573525i
\(395\) −15.6121 + 8.91863i −0.785529 + 0.448745i
\(396\) −22.1472 + 38.2541i −1.11294 + 1.92234i
\(397\) −27.7854 + 20.1873i −1.39451 + 1.01317i −0.399158 + 0.916882i \(0.630697\pi\)
−0.995353 + 0.0962893i \(0.969303\pi\)
\(398\) −26.5208 5.63717i −1.32937 0.282566i
\(399\) 17.5286 + 5.70701i 0.877527 + 0.285708i
\(400\) 8.41635 + 0.0770342i 0.420817 + 0.00385171i
\(401\) 8.47125 + 14.6726i 0.423034 + 0.732716i 0.996235 0.0866987i \(-0.0276317\pi\)
−0.573201 + 0.819415i \(0.694298\pi\)
\(402\) 11.4777 6.61750i 0.572458 0.330051i
\(403\) −1.35925 12.9324i −0.0677092 0.644210i
\(404\) 9.82219 7.13624i 0.488672 0.355041i
\(405\) −11.7151 16.3633i −0.582127 0.813098i
\(406\) −5.74493 4.17394i −0.285116 0.207149i
\(407\) −7.41996 + 12.8517i −0.367794 + 0.637037i
\(408\) −5.59595 + 12.5484i −0.277041 + 0.621241i
\(409\) −17.6749 + 3.75692i −0.873969 + 0.185768i −0.622995 0.782226i \(-0.714084\pi\)
−0.250974 + 0.967994i \(0.580751\pi\)
\(410\) 12.1068 + 27.5307i 0.597912 + 1.35964i
\(411\) 0.00832987 13.8854i 0.000410882 0.684914i
\(412\) 2.01209 + 2.23465i 0.0991283 + 0.110093i
\(413\) −3.12772 + 9.62612i −0.153905 + 0.473671i
\(414\) −36.7853 40.9529i −1.80790 2.01273i
\(415\) 9.50195 + 8.63466i 0.466433 + 0.423859i
\(416\) 18.8214 + 20.9033i 0.922795 + 1.02487i
\(417\) −21.7535 + 2.27319i −1.06527 + 0.111319i
\(418\) −18.9173 32.7658i −0.925276 1.60263i
\(419\) 0.560784 5.33551i 0.0273961 0.260657i −0.972247 0.233955i \(-0.924833\pi\)
0.999643 0.0267013i \(-0.00850028\pi\)
\(420\) −10.7183 33.5780i −0.523000 1.63844i
\(421\) −2.61154 24.8472i −0.127279 1.21098i −0.852599 0.522565i \(-0.824975\pi\)
0.725321 0.688411i \(-0.241691\pi\)
\(422\) −4.82987 + 3.50911i −0.235115 + 0.170821i
\(423\) 3.12815 0.660987i 0.152096 0.0321383i
\(424\) 13.4573 0.653544
\(425\) 21.5579 4.37644i 1.04571 0.212289i
\(426\) −49.2836 16.0459i −2.38780 0.777427i
\(427\) −18.6098 + 20.6683i −0.900592 + 1.00021i
\(428\) 31.6557 + 14.0940i 1.53014 + 0.681261i
\(429\) 25.8810 + 23.3315i 1.24955 + 1.12646i
\(430\) 21.1484 + 6.97868i 1.01986 + 0.336542i
\(431\) 22.8037 + 16.5678i 1.09841 + 0.798044i 0.980800 0.195016i \(-0.0624757\pi\)
0.117613 + 0.993059i \(0.462476\pi\)
\(432\) −8.70061 + 0.898642i −0.418608 + 0.0432359i
\(433\) −16.8101 12.2132i −0.807840 0.586930i 0.105363 0.994434i \(-0.466399\pi\)
−0.913204 + 0.407503i \(0.866399\pi\)
\(434\) 15.9999 + 17.7697i 0.768020 + 0.852972i
\(435\) −3.79375 0.826933i −0.181896 0.0396484i
\(436\) 2.52452 2.80376i 0.120902 0.134276i
\(437\) 26.9690 5.73244i 1.29010 0.274220i
\(438\) −2.32175 + 3.19159i −0.110938 + 0.152500i
\(439\) −22.2979 4.73956i −1.06422 0.226207i −0.357654 0.933854i \(-0.616423\pi\)
−0.706566 + 0.707647i \(0.749757\pi\)
\(440\) −8.65251 + 19.1969i −0.412492 + 0.915178i
\(441\) 8.27456 5.99667i 0.394027 0.285556i
\(442\) 30.1040 + 21.8718i 1.43190 + 1.04034i
\(443\) 0.774060 1.34071i 0.0367767 0.0636991i −0.847051 0.531511i \(-0.821624\pi\)
0.883828 + 0.467812i \(0.154958\pi\)
\(444\) 13.8091 1.44302i 0.655351 0.0684827i
\(445\) −15.7910 + 14.0880i −0.748567 + 0.667836i
\(446\) 35.2667 + 15.7017i 1.66992 + 0.743498i
\(447\) 7.23745 33.9494i 0.342320 1.60575i
\(448\) −39.9693 8.49574i −1.88837 0.401386i
\(449\) −9.38310 −0.442816 −0.221408 0.975181i \(-0.571065\pi\)
−0.221408 + 0.975181i \(0.571065\pi\)
\(450\) −21.7838 24.7029i −1.02690 1.16450i
\(451\) 31.9922 1.50646
\(452\) −13.8387 2.94151i −0.650919 0.138357i
\(453\) 16.6642 5.40348i 0.782953 0.253878i
\(454\) 46.7497 + 20.8143i 2.19407 + 0.976863i
\(455\) −27.6463 + 2.77789i −1.29608 + 0.130229i
\(456\) −4.19646 + 9.41021i −0.196517 + 0.440674i
\(457\) −11.1738 + 19.3536i −0.522688 + 0.905323i 0.476963 + 0.878923i \(0.341737\pi\)
−0.999651 + 0.0263993i \(0.991596\pi\)
\(458\) −41.8433 30.4009i −1.95521 1.42054i
\(459\) −21.7544 + 7.02518i −1.01541 + 0.327907i
\(460\) −39.0153 35.4542i −1.81910 1.65306i
\(461\) 22.8998 + 4.86750i 1.06655 + 0.226702i 0.707570 0.706643i \(-0.249791\pi\)
0.358980 + 0.933345i \(0.383125\pi\)
\(462\) −63.7192 6.73581i −2.96449 0.313378i
\(463\) 28.4839 6.05443i 1.32376 0.281373i 0.508795 0.860888i \(-0.330091\pi\)
0.814962 + 0.579514i \(0.196758\pi\)
\(464\) −1.12924 + 1.25414i −0.0524235 + 0.0582222i
\(465\) 11.9165 + 5.37965i 0.552615 + 0.249475i
\(466\) −22.6451 25.1500i −1.04902 1.16505i
\(467\) −22.3500 16.2382i −1.03423 0.751415i −0.0650824 0.997880i \(-0.520731\pi\)
−0.969152 + 0.246465i \(0.920731\pi\)
\(468\) 3.44666 32.4186i 0.159322 1.49855i
\(469\) 9.09170 + 6.60551i 0.419816 + 0.305014i
\(470\) 4.98379 1.59415i 0.229885 0.0735328i
\(471\) −1.90035 + 8.91414i −0.0875634 + 0.410742i
\(472\) −5.16815 2.30101i −0.237884 0.105913i
\(473\) 15.8514 17.6048i 0.728850 0.809470i
\(474\) 22.7378 20.4485i 1.04438 0.939232i
\(475\) 16.1665 3.28194i 0.741770 0.150586i
\(476\) −40.0391 −1.83519
\(477\) 14.9624 + 16.6576i 0.685081 + 0.762698i
\(478\) 43.3668 31.5078i 1.98355 1.44113i
\(479\) 0.559570 + 5.32396i 0.0255674 + 0.243258i 0.999840 + 0.0178851i \(0.00569331\pi\)
−0.974273 + 0.225373i \(0.927640\pi\)
\(480\) −27.6935 + 5.73678i −1.26403 + 0.261847i
\(481\) 1.14407 10.8851i 0.0521651 0.496318i
\(482\) 15.1854 + 26.3019i 0.691676 + 1.19802i
\(483\) 19.0175 42.6451i 0.865325 1.94042i
\(484\) 30.7265 + 34.1252i 1.39666 + 1.55115i
\(485\) −3.71478 + 2.12212i −0.168679 + 0.0963605i
\(486\) 25.3674 + 22.9791i 1.15069 + 1.04235i
\(487\) −10.3850 + 31.9619i −0.470591 + 1.44833i 0.381221 + 0.924484i \(0.375504\pi\)
−0.851812 + 0.523848i \(0.824496\pi\)
\(488\) −10.4017 11.5522i −0.470861 0.522944i
\(489\) −34.2005 + 19.7183i −1.54660 + 0.891694i
\(490\) 12.4797 11.1338i 0.563775 0.502973i
\(491\) −18.0180 + 3.82984i −0.813139 + 0.172838i −0.595670 0.803229i \(-0.703113\pi\)
−0.217469 + 0.976067i \(0.569780\pi\)
\(492\) −17.5791 24.2261i −0.792526 1.09220i
\(493\) −2.20535 + 3.81978i −0.0993241 + 0.172034i
\(494\) 22.5753 + 16.4019i 1.01571 + 0.737958i
\(495\) −33.3824 + 10.6338i −1.50043 + 0.477955i
\(496\) 4.59738 3.34019i 0.206429 0.149979i
\(497\) −4.59544 43.7227i −0.206134 1.96123i
\(498\) −18.9047 10.9297i −0.847139 0.489774i
\(499\) −4.11042 7.11946i −0.184008 0.318711i 0.759234 0.650818i \(-0.225574\pi\)
−0.943242 + 0.332107i \(0.892241\pi\)
\(500\) −23.1480 21.4253i −1.03521 0.958168i
\(501\) 9.03195 8.12260i 0.403518 0.362891i
\(502\) −54.9663 11.6834i −2.45326 0.521457i
\(503\) −7.60211 + 5.52326i −0.338961 + 0.246270i −0.744223 0.667931i \(-0.767180\pi\)
0.405262 + 0.914201i \(0.367180\pi\)
\(504\) 8.70654 + 15.1220i 0.387820 + 0.673589i
\(505\) 9.56549 + 1.04965i 0.425659 + 0.0467090i
\(506\) −87.5486 + 38.9792i −3.89201 + 1.73284i
\(507\) −3.02675 0.985458i −0.134423 0.0437657i
\(508\) −1.01483 + 9.65550i −0.0450260 + 0.428393i
\(509\) 26.8468 5.70646i 1.18996 0.252934i 0.429956 0.902850i \(-0.358529\pi\)
0.760007 + 0.649915i \(0.225196\pi\)
\(510\) −34.2572 + 15.0403i −1.51693 + 0.665996i
\(511\) −3.27458 0.696033i −0.144859 0.0307907i
\(512\) −5.67432 + 17.4638i −0.250772 + 0.771797i
\(513\) −16.3139 + 5.26826i −0.720275 + 0.232599i
\(514\) 13.6164 + 41.9070i 0.600594 + 1.84844i
\(515\) −0.0109070 + 2.38334i −0.000480622 + 0.105023i
\(516\) −22.0413 2.33000i −0.970313 0.102573i
\(517\) 0.581813 5.53558i 0.0255881 0.243455i
\(518\) 10.0630 + 17.4297i 0.442144 + 0.765817i
\(519\) 4.96892 + 6.84777i 0.218112 + 0.300584i
\(520\) 0.0710714 15.5301i 0.00311669 0.681040i
\(521\) 9.78838 7.11167i 0.428837 0.311568i −0.352347 0.935869i \(-0.614616\pi\)
0.781184 + 0.624301i \(0.214616\pi\)
\(522\) 6.60388 + 0.00792338i 0.289044 + 0.000346797i
\(523\) 5.88343 + 18.1073i 0.257264 + 0.791778i 0.993375 + 0.114917i \(0.0366603\pi\)
−0.736111 + 0.676861i \(0.763340\pi\)
\(524\) −1.04801 + 1.81520i −0.0457824 + 0.0792974i
\(525\) 11.6114 25.4097i 0.506761 1.10897i
\(526\) 24.8542 + 43.0488i 1.08370 + 1.87702i
\(527\) 9.93798 11.0372i 0.432905 0.480790i
\(528\) −3.17492 + 14.8929i −0.138171 + 0.648130i
\(529\) −4.89588 46.5812i −0.212864 2.02527i
\(530\) 27.1197 + 24.6444i 1.17801 + 1.07048i
\(531\) −2.89796 8.95556i −0.125761 0.388638i
\(532\) −30.0257 −1.30178
\(533\) −21.5557 + 9.59720i −0.933679 + 0.415701i
\(534\) 21.1731 29.1056i 0.916251 1.25952i
\(535\) 11.0560 + 25.1413i 0.477994 + 1.08695i
\(536\) −4.20299 + 4.66790i −0.181542 + 0.201622i
\(537\) 6.11588 + 0.646515i 0.263920 + 0.0278992i
\(538\) 1.95008 + 2.16579i 0.0840741 + 0.0933737i
\(539\) −5.49754 16.9197i −0.236796 0.728782i
\(540\) 26.3954 + 19.4357i 1.13588 + 0.836380i
\(541\) −5.46686 + 16.8253i −0.235039 + 0.723374i 0.762078 + 0.647485i \(0.224179\pi\)
−0.997116 + 0.0758887i \(0.975821\pi\)
\(542\) 48.0168 21.3784i 2.06250 0.918283i
\(543\) 2.77048 + 13.0726i 0.118893 + 0.561000i
\(544\) −3.35813 + 31.9505i −0.143979 + 1.36986i
\(545\) 2.97537 0.298964i 0.127451 0.0128062i
\(546\) 44.9533 14.5764i 1.92382 0.623812i
\(547\) −3.24401 30.8647i −0.138704 1.31968i −0.813452 0.581632i \(-0.802414\pi\)
0.674748 0.738048i \(-0.264252\pi\)
\(548\) 6.98889 + 21.5096i 0.298551 + 0.918844i
\(549\) 2.73443 25.7195i 0.116703 1.09768i
\(550\) −52.5923 + 22.8412i −2.24254 + 0.973950i
\(551\) −1.65382 + 2.86450i −0.0704550 + 0.122032i
\(552\) 22.5941 + 13.0628i 0.961669 + 0.555989i
\(553\) 23.6964 + 10.5503i 1.00767 + 0.448646i
\(554\) −28.4539 12.6685i −1.20889 0.538232i
\(555\) 8.86941 + 6.51441i 0.376486 + 0.276522i
\(556\) 32.5451 14.4900i 1.38022 0.614513i
\(557\) −7.31303 −0.309863 −0.154931 0.987925i \(-0.549516\pi\)
−0.154931 + 0.987925i \(0.549516\pi\)
\(558\) −21.7456 4.64945i −0.920566 0.196827i
\(559\) −5.39917 + 16.6169i −0.228360 + 0.702821i
\(560\) −7.09212 9.85600i −0.299697 0.416492i
\(561\) −0.0238751 + 39.7983i −0.00100801 + 1.68029i
\(562\) 31.2146 6.63486i 1.31671 0.279875i
\(563\) 37.2243 7.91227i 1.56882 0.333462i 0.660199 0.751091i \(-0.270472\pi\)
0.908618 + 0.417629i \(0.137139\pi\)
\(564\) −4.51151 + 2.60111i −0.189969 + 0.109527i
\(565\) −6.54964 9.10211i −0.275545 0.382928i
\(566\) 4.87675 15.0091i 0.204985 0.630879i
\(567\) −9.03791 + 27.5904i −0.379557 + 1.15869i
\(568\) 24.5727 1.03105
\(569\) −27.8581 + 12.4032i −1.16787 + 0.519971i −0.896734 0.442569i \(-0.854067\pi\)
−0.271140 + 0.962540i \(0.587401\pi\)
\(570\) −25.6898 + 11.2789i −1.07603 + 0.472420i
\(571\) −30.4237 13.5455i −1.27319 0.566861i −0.344873 0.938649i \(-0.612078\pi\)
−0.928317 + 0.371789i \(0.878745\pi\)
\(572\) −51.8492 23.0847i −2.16792 0.965221i
\(573\) −0.0215037 + 35.8454i −0.000898332 + 1.49746i
\(574\) 21.6941 37.5753i 0.905495 1.56836i
\(575\) −3.98715 41.5938i −0.166276 1.73458i
\(576\) 34.7341 15.4147i 1.44726 0.642280i
\(577\) −3.04250 9.36386i −0.126661 0.389823i 0.867539 0.497369i \(-0.165701\pi\)
−0.994200 + 0.107546i \(0.965701\pi\)
\(578\) 0.540700 + 5.14442i 0.0224902 + 0.213980i
\(579\) −5.61887 + 26.3570i −0.233512 + 1.09536i
\(580\) 6.29267 0.632285i 0.261289 0.0262542i
\(581\) 1.93614 18.4211i 0.0803244 0.764236i
\(582\) 5.41029 4.86557i 0.224264 0.201684i
\(583\) 35.6104 15.8548i 1.47483 0.656637i
\(584\) 0.578221 1.77958i 0.0239269 0.0736395i
\(585\) 19.3023 17.1791i 0.798053 0.710267i
\(586\) −3.10559 9.55803i −0.128291 0.394839i
\(587\) 1.66599 + 1.85027i 0.0687628 + 0.0763688i 0.776545 0.630062i \(-0.216971\pi\)
−0.707782 + 0.706431i \(0.750304\pi\)
\(588\) −9.79163 + 13.4600i −0.403800 + 0.555083i
\(589\) 7.45259 8.27695i 0.307079 0.341046i
\(590\) −6.20125 14.1016i −0.255301 0.580552i
\(591\) 21.9563 + 2.32101i 0.903160 + 0.0954737i
\(592\) 4.36954 1.94545i 0.179587 0.0799573i
\(593\) 31.8245 1.30687 0.653437 0.756981i \(-0.273326\pi\)
0.653437 + 0.756981i \(0.273326\pi\)
\(594\) 51.6579 29.7009i 2.11955 1.21864i
\(595\) −23.4864 21.3426i −0.962847 0.874963i
\(596\) 5.90998 + 56.2297i 0.242082 + 2.30326i
\(597\) 15.8857 + 14.3208i 0.650157 + 0.586110i
\(598\) 47.2952 52.5266i 1.93404 2.14797i
\(599\) 12.7051 + 22.0059i 0.519118 + 0.899139i 0.999753 + 0.0222180i \(0.00707278\pi\)
−0.480635 + 0.876921i \(0.659594\pi\)
\(600\) 13.4461 + 7.93897i 0.548936 + 0.324107i
\(601\) −19.1020 + 33.0856i −0.779186 + 1.34959i 0.153226 + 0.988191i \(0.451034\pi\)
−0.932412 + 0.361398i \(0.882300\pi\)
\(602\) −9.92813 30.5556i −0.404640 1.24535i
\(603\) −10.4510 0.0125392i −0.425599 0.000510637i
\(604\) −23.0845 + 16.7719i −0.939294 + 0.682437i
\(605\) −0.166561 + 36.3960i −0.00677167 + 1.47971i
\(606\) −16.2780 + 1.70101i −0.661247 + 0.0690988i
\(607\) −9.75568 16.8973i −0.395971 0.685842i 0.597254 0.802052i \(-0.296259\pi\)
−0.993225 + 0.116211i \(0.962925\pi\)
\(608\) −2.51830 + 23.9600i −0.102130 + 0.971706i
\(609\) 2.27530 + 5.11868i 0.0922000 + 0.207419i
\(610\) 0.193713 42.3291i 0.00784322 1.71385i
\(611\) 1.26858 + 3.90429i 0.0513213 + 0.157951i
\(612\) 30.1503 21.8503i 1.21876 0.883245i
\(613\) 4.69881 14.4615i 0.189783 0.584093i −0.810215 0.586133i \(-0.800649\pi\)
0.999998 + 0.00204035i \(0.000649464\pi\)
\(614\) 9.17793 + 1.95083i 0.370391 + 0.0787291i
\(615\) 2.60195 23.5811i 0.104921 0.950883i
\(616\) 29.7140 6.31590i 1.19721 0.254475i
\(617\) −3.57995 + 34.0610i −0.144124 + 1.37124i 0.648352 + 0.761340i \(0.275458\pi\)
−0.792476 + 0.609903i \(0.791208\pi\)
\(618\) −0.840416 3.96554i −0.0338065 0.159518i
\(619\) 29.2892 13.0404i 1.17723 0.524138i 0.277563 0.960707i \(-0.410473\pi\)
0.899671 + 0.436569i \(0.143807\pi\)
\(620\) −21.1688 2.32292i −0.850159 0.0932909i
\(621\) 8.95184 + 42.4910i 0.359225 + 1.70510i
\(622\) 0.620787 0.451028i 0.0248913 0.0180846i
\(623\) 29.8624 + 6.34745i 1.19641 + 0.254305i
\(624\) −2.32846 10.9869i −0.0932129 0.439830i
\(625\) −2.15767 24.9067i −0.0863069 0.996269i
\(626\) 10.6003 + 18.3603i 0.423675 + 0.733827i
\(627\) −0.0179042 + 29.8452i −0.000715025 + 1.19190i
\(628\) −1.55179 14.7643i −0.0619233 0.589160i
\(629\) 10.1134 7.34782i 0.403248 0.292977i
\(630\) −10.1472 + 46.4189i −0.404275 + 1.84937i
\(631\) −20.5908 14.9601i −0.819706 0.595551i 0.0969226 0.995292i \(-0.469100\pi\)
−0.916628 + 0.399741i \(0.869100\pi\)
\(632\) −7.24908 + 12.5558i −0.288353 + 0.499442i
\(633\) 4.68386 0.489453i 0.186167 0.0194540i
\(634\) −3.24609 + 0.689978i −0.128919 + 0.0274025i
\(635\) −5.74210 + 5.12282i −0.227868 + 0.203293i
\(636\) −31.5732 18.2541i −1.25196 0.723820i
\(637\) 8.77978 + 9.75093i 0.347867 + 0.386346i
\(638\) 3.55270 10.9341i 0.140653 0.432885i
\(639\) 27.3210 + 30.4164i 1.08080 + 1.20325i
\(640\) 25.6457 14.6505i 1.01373 0.579111i
\(641\) −8.76523 9.73477i −0.346206 0.384500i 0.544744 0.838602i \(-0.316627\pi\)
−0.890950 + 0.454102i \(0.849960\pi\)
\(642\) −27.4340 37.8074i −1.08274 1.49214i
\(643\) −10.3859 17.9890i −0.409581 0.709415i 0.585262 0.810845i \(-0.300992\pi\)
−0.994843 + 0.101429i \(0.967658\pi\)
\(644\) −7.94983 + 75.6376i −0.313267 + 2.98054i
\(645\) −11.6871 13.1157i −0.460179 0.516431i
\(646\) 3.33144 + 31.6966i 0.131074 + 1.24708i
\(647\) −20.2863 + 14.7388i −0.797535 + 0.579443i −0.910190 0.414191i \(-0.864065\pi\)
0.112655 + 0.993634i \(0.464065\pi\)
\(648\) −14.8087 6.63587i −0.581740 0.260682i
\(649\) −16.3868 −0.643238
\(650\) 28.5835 31.1668i 1.12114 1.22246i
\(651\) −3.91059 18.4523i −0.153268 0.723202i
\(652\) 43.0260 47.7853i 1.68503 1.87141i
\(653\) −32.4180 14.4334i −1.26862 0.564824i −0.341600 0.939845i \(-0.610969\pi\)
−0.927016 + 0.375021i \(0.877635\pi\)
\(654\) −4.83800 + 1.56875i −0.189181 + 0.0613431i
\(655\) −1.58233 + 0.506136i −0.0618268 + 0.0197764i
\(656\) −8.34212 6.06090i −0.325705 0.236638i
\(657\) 2.84567 1.26289i 0.111020 0.0492699i
\(658\) −6.10709 4.43706i −0.238079 0.172975i
\(659\) −11.8938 13.2094i −0.463317 0.514566i 0.465528 0.885033i \(-0.345864\pi\)
−0.928846 + 0.370467i \(0.879198\pi\)
\(660\) 46.3399 33.3028i 1.80378 1.29631i
\(661\) −17.0651 + 18.9527i −0.663756 + 0.737175i −0.977174 0.212440i \(-0.931859\pi\)
0.313419 + 0.949615i \(0.398526\pi\)
\(662\) 3.47442 0.738510i 0.135037 0.0287030i
\(663\) −11.9228 26.8224i −0.463044 1.04169i
\(664\) 10.1267 + 2.15249i 0.392990 + 0.0835327i
\(665\) −17.6127 16.0051i −0.682990 0.620650i
\(666\) −17.0895 7.63331i −0.662204 0.295785i
\(667\) 6.77806 + 4.92455i 0.262447 + 0.190679i
\(668\) −9.89264 + 17.1346i −0.382758 + 0.662956i
\(669\) −17.8846 24.6471i −0.691457 0.952911i
\(670\) −17.0184 + 1.71000i −0.657478 + 0.0660631i
\(671\) −41.1349 18.3144i −1.58799 0.707021i
\(672\) 30.3044 + 27.3191i 1.16902 + 1.05386i
\(673\) −28.1699 5.98769i −1.08587 0.230808i −0.369992 0.929035i \(-0.620639\pi\)
−0.715877 + 0.698227i \(0.753973\pi\)
\(674\) 20.0929 0.773949
\(675\) 5.12305 + 25.4707i 0.197186 + 0.980366i
\(676\) 5.18470 0.199411
\(677\) −43.7518 9.29974i −1.68152 0.357418i −0.734503 0.678605i \(-0.762585\pi\)
−0.947016 + 0.321187i \(0.895918\pi\)
\(678\) 14.1657 + 12.7702i 0.544030 + 0.490438i
\(679\) 5.63839 + 2.51037i 0.216381 + 0.0963392i
\(680\) 13.2359 11.8085i 0.507575 0.452834i
\(681\) −23.7079 32.6723i −0.908488 1.25200i
\(682\) −19.3564 + 33.5263i −0.741196 + 1.28379i
\(683\) −14.3100 10.3968i −0.547556 0.397823i 0.279328 0.960196i \(-0.409888\pi\)
−0.826884 + 0.562373i \(0.809888\pi\)
\(684\) 22.6101 16.3858i 0.864517 0.626525i
\(685\) −7.36600 + 16.3426i −0.281440 + 0.624419i
\(686\) 24.8981 + 5.29226i 0.950614 + 0.202059i
\(687\) 16.5722 + 37.2820i 0.632269 + 1.42240i
\(688\) −7.46855 + 1.58749i −0.284736 + 0.0605224i
\(689\) −19.2373 + 21.3652i −0.732883 + 0.813948i
\(690\) 21.6107 + 67.7014i 0.822706 + 2.57735i
\(691\) 5.97372 + 6.63449i 0.227251 + 0.252388i 0.845977 0.533219i \(-0.179018\pi\)
−0.618726 + 0.785607i \(0.712351\pi\)
\(692\) −11.1488 8.10009i −0.423814 0.307919i
\(693\) 40.8551 + 29.7580i 1.55196 + 1.13041i
\(694\) −51.5666 37.4653i −1.95744 1.42216i
\(695\) 26.8143 + 8.84837i 1.01713 + 0.335638i
\(696\) −2.97826 + 0.965721i −0.112891 + 0.0366056i
\(697\) −24.6197 10.9614i −0.932538 0.415193i
\(698\) 23.0014 25.5456i 0.870615 0.966916i
\(699\) 5.53477 + 26.1161i 0.209344 + 0.987801i
\(700\) −5.17044 + 45.2092i −0.195424 + 1.70875i
\(701\) 26.5540 1.00293 0.501466 0.865177i \(-0.332794\pi\)
0.501466 + 0.865177i \(0.332794\pi\)
\(702\) −25.8961 + 35.5084i −0.977387 + 1.34018i
\(703\) 7.58415 5.51021i 0.286042 0.207821i
\(704\) −6.91522 65.7939i −0.260627 2.47970i
\(705\) −4.03290 0.879062i −0.151888 0.0331074i
\(706\) −7.82246 + 74.4257i −0.294402 + 2.80105i
\(707\) −6.94129 12.0227i −0.261054 0.452159i
\(708\) 9.00421 + 12.4089i 0.338399 + 0.466354i
\(709\) 31.7202 + 35.2289i 1.19128 + 1.32305i 0.934239 + 0.356647i \(0.116080\pi\)
0.257038 + 0.966401i \(0.417253\pi\)
\(710\) 49.5200 + 45.0001i 1.85845 + 1.68882i
\(711\) −23.6015 + 4.98707i −0.885126 + 0.187030i
\(712\) −5.27306 + 16.2288i −0.197616 + 0.608200i
\(713\) −18.8772 20.9652i −0.706956 0.785154i
\(714\) 46.7274 + 27.0155i 1.74873 + 1.01103i
\(715\) −18.1088 41.1791i −0.677230 1.54001i
\(716\) −9.79818 + 2.08267i −0.366175 + 0.0778329i
\(717\) −42.0557 + 4.39473i −1.57060 + 0.164124i
\(718\) −20.6588 + 35.7821i −0.770981 + 1.33538i
\(719\) 1.45972 + 1.06055i 0.0544382 + 0.0395517i 0.614672 0.788783i \(-0.289289\pi\)
−0.560233 + 0.828335i \(0.689289\pi\)
\(720\) 10.7192 + 3.55145i 0.399480 + 0.132355i
\(721\) 2.78172 2.02104i 0.103597 0.0752673i
\(722\) −1.86250 17.7205i −0.0693150 0.659488i
\(723\) 0.0143721 23.9574i 0.000534506 0.890987i
\(724\) −10.8828 18.8496i −0.404457 0.700540i
\(725\) 4.02823 + 2.98339i 0.149605 + 0.110800i
\(726\) −12.8340 60.5577i −0.476313 2.24751i
\(727\) −10.3950 2.20952i −0.385529 0.0819466i 0.0110701 0.999939i \(-0.496476\pi\)
−0.396599 + 0.917992i \(0.629810\pi\)
\(728\) −18.1259 + 13.1693i −0.671792 + 0.488085i
\(729\) −8.25098 25.7084i −0.305592 0.952163i
\(730\) 4.42421 2.52739i 0.163747 0.0935430i
\(731\) −18.2304 + 8.11669i −0.674275 + 0.300207i
\(732\) 8.73421 + 41.2128i 0.322826 + 1.52327i
\(733\) −3.84916 + 36.6223i −0.142172 + 1.35268i 0.658051 + 0.752974i \(0.271381\pi\)
−0.800223 + 0.599703i \(0.795285\pi\)
\(734\) −20.7548 + 4.41157i −0.766074 + 0.162834i
\(735\) −12.9184 + 2.67608i −0.476504 + 0.0987089i
\(736\) 59.6907 + 12.6876i 2.20023 + 0.467673i
\(737\) −5.62236 + 17.3039i −0.207102 + 0.637396i
\(738\) 4.16958 + 40.1340i 0.153484 + 1.47735i
\(739\) −11.1267 34.2443i −0.409301 1.25970i −0.917250 0.398311i \(-0.869596\pi\)
0.507950 0.861387i \(-0.330404\pi\)
\(740\) −17.0217 5.61694i −0.625731 0.206483i
\(741\) −8.94105 20.1144i −0.328458 0.738920i
\(742\) 5.52597 52.5761i 0.202865 1.93013i
\(743\) −23.3121 40.3777i −0.855238 1.48132i −0.876424 0.481540i \(-0.840078\pi\)
0.0211862 0.999776i \(-0.493256\pi\)
\(744\) 10.4856 1.09572i 0.384420 0.0401710i
\(745\) −26.5063 + 36.1338i −0.971114 + 1.32384i
\(746\) −26.9121 + 19.5528i −0.985321 + 0.715877i
\(747\) 8.59488 + 14.9281i 0.314470 + 0.546191i
\(748\) −20.0316 61.6509i −0.732427 2.25418i
\(749\) 19.8113 34.3141i 0.723888 1.25381i
\(750\) 12.5586 + 40.6229i 0.458575 + 1.48334i
\(751\) −16.8588 29.2004i −0.615188 1.06554i −0.990352 0.138578i \(-0.955747\pi\)
0.375164 0.926959i \(-0.377586\pi\)
\(752\) −1.20042 + 1.33320i −0.0437749 + 0.0486169i
\(753\) 32.9242 + 29.6808i 1.19982 + 1.08163i
\(754\) 0.886334 + 8.43291i 0.0322784 + 0.307108i
\(755\) −22.4812 2.46694i −0.818174 0.0897810i
\(756\) 0.0851064 47.2889i 0.00309529 1.71988i
\(757\) 22.9933 0.835707 0.417853 0.908514i \(-0.362783\pi\)
0.417853 + 0.908514i \(0.362783\pi\)
\(758\) 45.5741 20.2909i 1.65532 0.736998i
\(759\) 75.1780 + 7.94712i 2.72879 + 0.288462i
\(760\) 9.92578 8.85530i 0.360046 0.321215i
\(761\) 21.6319 24.0246i 0.784154 0.870892i −0.210128 0.977674i \(-0.567388\pi\)
0.994282 + 0.106782i \(0.0340548\pi\)
\(762\) 7.69919 10.5837i 0.278912 0.383406i
\(763\) −2.88667 3.20598i −0.104505 0.116064i
\(764\) −18.0420 55.5275i −0.652736 2.00891i
\(765\) 29.3329 + 3.25443i 1.06053 + 0.117664i
\(766\) −13.4906 + 41.5197i −0.487435 + 1.50017i
\(767\) 11.0411 4.91580i 0.398670 0.177499i
\(768\) −4.72437 + 4.24871i −0.170476 + 0.153312i
\(769\) 0.702199 6.68098i 0.0253219 0.240922i −0.974539 0.224220i \(-0.928017\pi\)
0.999861 0.0167023i \(-0.00531674\pi\)
\(770\) 71.4472 + 41.6872i 2.57478 + 1.50230i
\(771\) 7.24715