Properties

Label 414.2.m.a.25.7
Level $414$
Weight $2$
Character 414.25
Analytic conductor $3.306$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [414,2,Mod(13,414)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(414, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([22, 42]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("414.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 414 = 2 \cdot 3^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 414.m (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.30580664368\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.7
Character \(\chi\) \(=\) 414.25
Dual form 414.2.m.a.265.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.888835 - 0.458227i) q^{2} +(0.694471 - 1.58673i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.0619918 - 0.255534i) q^{5} +(-0.109811 - 1.72857i) q^{6} +(0.632608 + 1.82780i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-2.03542 - 2.20388i) q^{9} +O(q^{10})\) \(q+(0.888835 - 0.458227i) q^{2} +(0.694471 - 1.58673i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.0619918 - 0.255534i) q^{5} +(-0.109811 - 1.72857i) q^{6} +(0.632608 + 1.82780i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-2.03542 - 2.20388i) q^{9} +(-0.172193 - 0.198721i) q^{10} +(-0.231267 - 4.85488i) q^{11} +(-0.889679 - 1.48609i) q^{12} +(0.857962 - 2.47892i) q^{13} +(1.39983 + 1.33474i) q^{14} +(-0.448515 - 0.0790966i) q^{15} +(-0.327068 - 0.945001i) q^{16} +(-1.80661 + 3.95593i) q^{17} +(-2.81903 - 1.02620i) q^{18} +(2.67922 + 5.86668i) q^{19} +(-0.244110 - 0.0977271i) q^{20} +(3.33955 + 0.265577i) q^{21} +(-2.43019 - 4.20922i) q^{22} +(4.16787 - 2.37252i) q^{23} +(-1.47175 - 0.913218i) q^{24} +(4.38272 - 2.25945i) q^{25} +(-0.373319 - 2.59649i) q^{26} +(-4.91049 + 1.69913i) q^{27} +(1.85583 + 0.544921i) q^{28} +(0.517333 + 0.726493i) q^{29} +(-0.434900 + 0.135217i) q^{30} +(-8.78980 + 3.51891i) q^{31} +(-0.723734 - 0.690079i) q^{32} +(-7.86399 - 3.00462i) q^{33} +(0.206930 + 4.34401i) q^{34} +(0.427848 - 0.274961i) q^{35} +(-2.97588 + 0.379631i) q^{36} +(-8.52009 + 2.50172i) q^{37} +(5.06966 + 3.98682i) q^{38} +(-3.33754 - 3.08289i) q^{39} +(-0.261755 + 0.0249946i) q^{40} +(1.46021 + 6.01906i) q^{41} +(3.09001 - 1.29422i) q^{42} +(8.10910 + 3.24640i) q^{43} +(-4.08882 - 2.62772i) q^{44} +(-0.436985 + 0.656741i) q^{45} +(2.61740 - 4.01861i) q^{46} +(0.718318 - 1.24416i) q^{47} +(-1.72660 - 0.137307i) q^{48} +(2.56171 - 2.01455i) q^{49} +(2.86018 - 4.01656i) q^{50} +(5.02235 + 5.61388i) q^{51} +(-1.52160 - 2.13679i) q^{52} +(5.65337 - 6.52434i) q^{53} +(-3.58603 + 3.76037i) q^{54} +(-1.22625 + 0.360060i) q^{55} +(1.89923 - 0.366046i) q^{56} +(11.1695 - 0.176962i) q^{57} +(0.792722 + 0.408677i) q^{58} +(-1.77518 + 5.12904i) q^{59} +(-0.324594 + 0.319469i) q^{60} +(11.0915 + 8.72242i) q^{61} +(-6.20023 + 7.15545i) q^{62} +(2.74062 - 5.11453i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-0.686634 - 0.0655656i) q^{65} +(-8.36659 + 0.932879i) q^{66} +(-0.640099 + 13.4373i) q^{67} +(2.17447 + 3.76628i) q^{68} +(-0.870079 - 8.26093i) q^{69} +(0.254292 - 0.440447i) q^{70} +(-6.98388 - 4.48827i) q^{71} +(-2.47111 + 1.70106i) q^{72} +(1.51900 + 3.32615i) q^{73} +(-6.42660 + 6.12775i) q^{74} +(-0.541462 - 8.52332i) q^{75} +(6.33296 + 1.22058i) q^{76} +(8.72745 - 3.49395i) q^{77} +(-4.37919 - 1.21083i) q^{78} +(-8.97354 + 1.72951i) q^{79} +(-0.221204 + 0.142159i) q^{80} +(-0.714134 + 8.97162i) q^{81} +(4.05598 + 4.68085i) q^{82} +(1.05406 - 4.34490i) q^{83} +(2.15346 - 2.56627i) q^{84} +(1.12287 + 0.216415i) q^{85} +(8.69524 - 0.830295i) q^{86} +(1.51202 - 0.316339i) q^{87} +(-4.83838 - 0.462009i) q^{88} +(-1.23624 - 8.59823i) q^{89} +(-0.0874720 + 0.783973i) q^{90} +5.07372 q^{91} +(0.485006 - 4.77124i) q^{92} +(-0.520713 + 16.3908i) q^{93} +(0.0683579 - 1.43501i) q^{94} +(1.33305 - 1.04832i) q^{95} +(-1.59758 + 0.669130i) q^{96} +(1.61682 - 1.54163i) q^{97} +(1.35382 - 2.96445i) q^{98} +(-10.2288 + 10.3914i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9} + 2 q^{11} + 11 q^{12} + 4 q^{13} + 2 q^{14} + 6 q^{15} + 12 q^{16} - 8 q^{17} - 18 q^{18} + 12 q^{19} - 29 q^{21} + 20 q^{22} + 10 q^{25} + 8 q^{26} - 18 q^{27} + 4 q^{28} - 8 q^{29} - 18 q^{30} - 12 q^{32} + 50 q^{33} - 4 q^{34} - 12 q^{35} - 4 q^{36} + 92 q^{37} + 6 q^{38} + 44 q^{39} + 2 q^{41} + 42 q^{42} - 14 q^{43} - 4 q^{44} - 2 q^{45} - 44 q^{46} + 10 q^{47} - 22 q^{48} + 43 q^{49} - 43 q^{50} - 90 q^{51} - 18 q^{52} + 16 q^{53} - 29 q^{54} - 8 q^{55} + 13 q^{56} + 7 q^{57} + 8 q^{58} - 84 q^{59} + 9 q^{60} - 53 q^{61} - 66 q^{62} + 11 q^{63} - 24 q^{64} + 79 q^{65} - 110 q^{66} + 46 q^{67} - 40 q^{68} - 55 q^{69} - 6 q^{70} - 14 q^{71} - 19 q^{72} + 16 q^{73} + 46 q^{74} - 44 q^{75} - 6 q^{76} - 96 q^{77} + 20 q^{78} + 20 q^{79} - 22 q^{80} - 56 q^{81} + 26 q^{82} + 57 q^{83} + 5 q^{84} - 2 q^{85} - 8 q^{86} - 198 q^{87} - 2 q^{88} + 60 q^{89} - 22 q^{90} - 252 q^{91} - 218 q^{93} - 10 q^{94} + 6 q^{95} - q^{97} + 20 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(235\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.888835 0.458227i 0.628502 0.324015i
\(3\) 0.694471 1.58673i 0.400953 0.916099i
\(4\) 0.580057 0.814576i 0.290028 0.407288i
\(5\) −0.0619918 0.255534i −0.0277236 0.114278i 0.956269 0.292490i \(-0.0944839\pi\)
−0.983992 + 0.178212i \(0.942969\pi\)
\(6\) −0.109811 1.72857i −0.0448301 0.705684i
\(7\) 0.632608 + 1.82780i 0.239103 + 0.690843i 0.999160 + 0.0409864i \(0.0130500\pi\)
−0.760056 + 0.649857i \(0.774829\pi\)
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) −2.03542 2.20388i −0.678473 0.734625i
\(10\) −0.172193 0.198721i −0.0544522 0.0628412i
\(11\) −0.231267 4.85488i −0.0697295 1.46380i −0.714612 0.699521i \(-0.753397\pi\)
0.644883 0.764282i \(-0.276906\pi\)
\(12\) −0.889679 1.48609i −0.256828 0.428998i
\(13\) 0.857962 2.47892i 0.237956 0.687528i −0.761279 0.648424i \(-0.775428\pi\)
0.999235 0.0391043i \(-0.0124505\pi\)
\(14\) 1.39983 + 1.33474i 0.374120 + 0.356723i
\(15\) −0.448515 0.0790966i −0.115806 0.0204227i
\(16\) −0.327068 0.945001i −0.0817670 0.236250i
\(17\) −1.80661 + 3.95593i −0.438168 + 0.959453i 0.553763 + 0.832674i \(0.313191\pi\)
−0.991931 + 0.126779i \(0.959536\pi\)
\(18\) −2.81903 1.02620i −0.664451 0.241878i
\(19\) 2.67922 + 5.86668i 0.614656 + 1.34591i 0.919343 + 0.393457i \(0.128721\pi\)
−0.304687 + 0.952453i \(0.598552\pi\)
\(20\) −0.244110 0.0977271i −0.0545848 0.0218524i
\(21\) 3.33955 + 0.265577i 0.728750 + 0.0579537i
\(22\) −2.43019 4.20922i −0.518119 0.897409i
\(23\) 4.16787 2.37252i 0.869061 0.494704i
\(24\) −1.47175 0.913218i −0.300419 0.186410i
\(25\) 4.38272 2.25945i 0.876545 0.451890i
\(26\) −0.373319 2.59649i −0.0732139 0.509214i
\(27\) −4.91049 + 1.69913i −0.945025 + 0.326998i
\(28\) 1.85583 + 0.544921i 0.350719 + 0.102980i
\(29\) 0.517333 + 0.726493i 0.0960664 + 0.134906i 0.859812 0.510612i \(-0.170581\pi\)
−0.763745 + 0.645518i \(0.776642\pi\)
\(30\) −0.434900 + 0.135217i −0.0794015 + 0.0246872i
\(31\) −8.78980 + 3.51891i −1.57870 + 0.632014i −0.984981 0.172662i \(-0.944763\pi\)
−0.593714 + 0.804676i \(0.702339\pi\)
\(32\) −0.723734 0.690079i −0.127939 0.121990i
\(33\) −7.86399 3.00462i −1.36895 0.523037i
\(34\) 0.206930 + 4.34401i 0.0354883 + 0.744991i
\(35\) 0.427848 0.274961i 0.0723195 0.0464769i
\(36\) −2.97588 + 0.379631i −0.495981 + 0.0632718i
\(37\) −8.52009 + 2.50172i −1.40069 + 0.411281i −0.892922 0.450211i \(-0.851349\pi\)
−0.507772 + 0.861492i \(0.669531\pi\)
\(38\) 5.06966 + 3.98682i 0.822407 + 0.646748i
\(39\) −3.33754 3.08289i −0.534435 0.493658i
\(40\) −0.261755 + 0.0249946i −0.0413871 + 0.00395199i
\(41\) 1.46021 + 6.01906i 0.228046 + 0.940019i 0.964616 + 0.263658i \(0.0849290\pi\)
−0.736570 + 0.676361i \(0.763556\pi\)
\(42\) 3.09001 1.29422i 0.476798 0.199702i
\(43\) 8.10910 + 3.24640i 1.23663 + 0.495071i 0.895548 0.444964i \(-0.146784\pi\)
0.341078 + 0.940035i \(0.389208\pi\)
\(44\) −4.08882 2.62772i −0.616413 0.396144i
\(45\) −0.436985 + 0.656741i −0.0651419 + 0.0979011i
\(46\) 2.61740 4.01861i 0.385915 0.592511i
\(47\) 0.718318 1.24416i 0.104777 0.181480i −0.808870 0.587988i \(-0.799920\pi\)
0.913647 + 0.406508i \(0.133254\pi\)
\(48\) −1.72660 0.137307i −0.249213 0.0198186i
\(49\) 2.56171 2.01455i 0.365959 0.287793i
\(50\) 2.86018 4.01656i 0.404490 0.568027i
\(51\) 5.02235 + 5.61388i 0.703269 + 0.786100i
\(52\) −1.52160 2.13679i −0.211008 0.296319i
\(53\) 5.65337 6.52434i 0.776551 0.896187i −0.220305 0.975431i \(-0.570705\pi\)
0.996855 + 0.0792440i \(0.0252506\pi\)
\(54\) −3.58603 + 3.76037i −0.487997 + 0.511721i
\(55\) −1.22625 + 0.360060i −0.165348 + 0.0485504i
\(56\) 1.89923 0.366046i 0.253795 0.0489149i
\(57\) 11.1695 0.176962i 1.47943 0.0234391i
\(58\) 0.792722 + 0.408677i 0.104090 + 0.0536619i
\(59\) −1.77518 + 5.12904i −0.231108 + 0.667744i 0.768502 + 0.639847i \(0.221002\pi\)
−0.999611 + 0.0278969i \(0.991119\pi\)
\(60\) −0.324594 + 0.319469i −0.0419049 + 0.0412432i
\(61\) 11.0915 + 8.72242i 1.42012 + 1.11679i 0.975227 + 0.221204i \(0.0709988\pi\)
0.444888 + 0.895586i \(0.353244\pi\)
\(62\) −6.20023 + 7.15545i −0.787430 + 0.908743i
\(63\) 2.74062 5.11453i 0.345286 0.644370i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −0.686634 0.0655656i −0.0851665 0.00813242i
\(66\) −8.36659 + 0.932879i −1.02986 + 0.114829i
\(67\) −0.640099 + 13.4373i −0.0782006 + 1.64163i 0.530107 + 0.847931i \(0.322152\pi\)
−0.608308 + 0.793701i \(0.708151\pi\)
\(68\) 2.17447 + 3.76628i 0.263693 + 0.456729i
\(69\) −0.870079 8.26093i −0.104745 0.994499i
\(70\) 0.254292 0.440447i 0.0303937 0.0526435i
\(71\) −6.98388 4.48827i −0.828834 0.532659i 0.0560733 0.998427i \(-0.482142\pi\)
−0.884907 + 0.465767i \(0.845778\pi\)
\(72\) −2.47111 + 1.70106i −0.291224 + 0.200472i
\(73\) 1.51900 + 3.32615i 0.177786 + 0.389296i 0.977455 0.211145i \(-0.0677191\pi\)
−0.799669 + 0.600441i \(0.794992\pi\)
\(74\) −6.42660 + 6.12775i −0.747077 + 0.712337i
\(75\) −0.541462 8.52332i −0.0625226 0.984188i
\(76\) 6.33296 + 1.22058i 0.726440 + 0.140010i
\(77\) 8.72745 3.49395i 0.994586 0.398172i
\(78\) −4.37919 1.21083i −0.495846 0.137100i
\(79\) −8.97354 + 1.72951i −1.00960 + 0.194585i −0.667128 0.744943i \(-0.732477\pi\)
−0.342473 + 0.939527i \(0.611265\pi\)
\(80\) −0.221204 + 0.142159i −0.0247314 + 0.0158939i
\(81\) −0.714134 + 8.97162i −0.0793482 + 0.996847i
\(82\) 4.05598 + 4.68085i 0.447908 + 0.516913i
\(83\) 1.05406 4.34490i 0.115698 0.476915i −0.884253 0.467009i \(-0.845332\pi\)
0.999951 0.00990600i \(-0.00315323\pi\)
\(84\) 2.15346 2.56627i 0.234962 0.280003i
\(85\) 1.12287 + 0.216415i 0.121792 + 0.0234735i
\(86\) 8.69524 0.830295i 0.937632 0.0895330i
\(87\) 1.51202 0.316339i 0.162106 0.0339151i
\(88\) −4.83838 0.462009i −0.515773 0.0492504i
\(89\) −1.23624 8.59823i −0.131041 0.911410i −0.944201 0.329370i \(-0.893164\pi\)
0.813160 0.582040i \(-0.197745\pi\)
\(90\) −0.0874720 + 0.783973i −0.00922035 + 0.0826380i
\(91\) 5.07372 0.531871
\(92\) 0.485006 4.77124i 0.0505654 0.497437i
\(93\) −0.520713 + 16.3908i −0.0539954 + 1.69965i
\(94\) 0.0683579 1.43501i 0.00705057 0.148010i
\(95\) 1.33305 1.04832i 0.136768 0.107555i
\(96\) −1.59758 + 0.669130i −0.163052 + 0.0682928i
\(97\) 1.61682 1.54163i 0.164163 0.156529i −0.603545 0.797329i \(-0.706246\pi\)
0.767708 + 0.640800i \(0.221397\pi\)
\(98\) 1.35382 2.96445i 0.136756 0.299455i
\(99\) −10.2288 + 10.3914i −1.02804 + 1.04438i
\(100\) 0.701734 4.88067i 0.0701734 0.488067i
\(101\) 2.55052 10.5134i 0.253786 1.04612i −0.692146 0.721758i \(-0.743335\pi\)
0.945932 0.324364i \(-0.105150\pi\)
\(102\) 7.03647 + 2.68844i 0.696714 + 0.266196i
\(103\) −6.55357 3.37860i −0.645742 0.332903i 0.104054 0.994572i \(-0.466818\pi\)
−0.749797 + 0.661668i \(0.769849\pi\)
\(104\) −2.33159 1.20202i −0.228631 0.117867i
\(105\) −0.139161 0.869832i −0.0135807 0.0848869i
\(106\) 2.03529 8.38959i 0.197685 0.814869i
\(107\) −1.63529 + 11.3737i −0.158089 + 1.09953i 0.744061 + 0.668112i \(0.232897\pi\)
−0.902150 + 0.431422i \(0.858012\pi\)
\(108\) −1.46429 + 4.98556i −0.140902 + 0.479736i
\(109\) −1.09694 + 2.40197i −0.105068 + 0.230067i −0.954863 0.297046i \(-0.903998\pi\)
0.849795 + 0.527113i \(0.176726\pi\)
\(110\) −0.924946 + 0.881934i −0.0881901 + 0.0840891i
\(111\) −1.94740 + 15.2564i −0.184839 + 1.44808i
\(112\) 1.52037 1.19563i 0.143661 0.112976i
\(113\) 0.0333176 0.699422i 0.00313425 0.0657961i −0.996758 0.0804541i \(-0.974363\pi\)
0.999893 + 0.0146581i \(0.00466598\pi\)
\(114\) 9.84674 5.27544i 0.922232 0.494090i
\(115\) −0.864633 0.917955i −0.0806274 0.0855998i
\(116\) 0.891866 0.0828077
\(117\) −7.20954 + 3.15480i −0.666522 + 0.291661i
\(118\) 0.772421 + 5.37230i 0.0711071 + 0.494561i
\(119\) −8.37352 0.799574i −0.767599 0.0732968i
\(120\) −0.142122 + 0.432693i −0.0129739 + 0.0394993i
\(121\) −12.5662 + 1.19993i −1.14238 + 0.109084i
\(122\) 13.8553 + 2.67039i 1.25440 + 0.241766i
\(123\) 10.5647 + 1.86311i 0.952586 + 0.167991i
\(124\) −2.23217 + 9.20113i −0.200455 + 0.826286i
\(125\) −1.71002 1.97347i −0.152949 0.176513i
\(126\) 0.0923487 5.80180i 0.00822708 0.516865i
\(127\) 2.45742 1.57929i 0.218061 0.140139i −0.427050 0.904228i \(-0.640447\pi\)
0.645111 + 0.764089i \(0.276811\pi\)
\(128\) −0.981929 + 0.189251i −0.0867911 + 0.0167276i
\(129\) 10.7827 10.6124i 0.949363 0.934372i
\(130\) −0.640349 + 0.256357i −0.0561623 + 0.0224840i
\(131\) 8.28259 + 1.59634i 0.723654 + 0.139473i 0.537761 0.843097i \(-0.319270\pi\)
0.185893 + 0.982570i \(0.440482\pi\)
\(132\) −7.00905 + 4.66297i −0.610060 + 0.405859i
\(133\) −9.02822 + 8.60840i −0.782846 + 0.746443i
\(134\) 5.58840 + 12.2369i 0.482764 + 1.05711i
\(135\) 0.738596 + 1.14946i 0.0635682 + 0.0989302i
\(136\) 3.65855 + 2.35121i 0.313718 + 0.201615i
\(137\) 7.38966 12.7993i 0.631341 1.09352i −0.355936 0.934510i \(-0.615838\pi\)
0.987278 0.159005i \(-0.0508286\pi\)
\(138\) −4.55873 6.94391i −0.388065 0.591105i
\(139\) −1.44504 2.50288i −0.122567 0.212292i 0.798212 0.602376i \(-0.205779\pi\)
−0.920779 + 0.390084i \(0.872446\pi\)
\(140\) 0.0241994 0.508008i 0.00204522 0.0429345i
\(141\) −1.47530 2.00381i −0.124243 0.168751i
\(142\) −8.26416 0.789132i −0.693513 0.0662225i
\(143\) −12.2333 3.59202i −1.02300 0.300379i
\(144\) −1.41694 + 2.64429i −0.118079 + 0.220358i
\(145\) 0.153573 0.177233i 0.0127535 0.0147184i
\(146\) 2.87427 + 2.26035i 0.237876 + 0.187068i
\(147\) −1.41751 5.46379i −0.116915 0.450646i
\(148\) −2.90429 + 8.39140i −0.238731 + 0.689769i
\(149\) −2.81014 1.44873i −0.230216 0.118684i 0.339260 0.940693i \(-0.389823\pi\)
−0.569476 + 0.822008i \(0.692854\pi\)
\(150\) −4.38688 7.32771i −0.358187 0.598305i
\(151\) −14.5162 + 2.79776i −1.18131 + 0.227679i −0.741839 0.670578i \(-0.766046\pi\)
−0.439471 + 0.898257i \(0.644834\pi\)
\(152\) 6.18826 1.81704i 0.501934 0.147381i
\(153\) 12.3956 4.07043i 1.00212 0.329074i
\(154\) 6.15625 7.10469i 0.496085 0.572513i
\(155\) 1.44410 + 2.02795i 0.115993 + 0.162889i
\(156\) −4.44721 + 0.930430i −0.356062 + 0.0744940i
\(157\) 3.29155 4.62233i 0.262694 0.368902i −0.662071 0.749441i \(-0.730322\pi\)
0.924765 + 0.380539i \(0.124262\pi\)
\(158\) −7.18349 + 5.64916i −0.571488 + 0.449423i
\(159\) −6.42626 13.5013i −0.509635 1.07073i
\(160\) −0.131473 + 0.227718i −0.0103938 + 0.0180027i
\(161\) 6.97312 + 6.11716i 0.549559 + 0.482100i
\(162\) 3.47629 + 8.30153i 0.273123 + 0.652230i
\(163\) −16.2371 10.4349i −1.27179 0.817328i −0.281936 0.959433i \(-0.590977\pi\)
−0.989852 + 0.142105i \(0.954613\pi\)
\(164\) 5.74998 + 2.30195i 0.448998 + 0.179752i
\(165\) −0.280278 + 2.19578i −0.0218196 + 0.170941i
\(166\) −1.05406 4.34490i −0.0818110 0.337230i
\(167\) −21.8928 + 2.09051i −1.69412 + 0.161769i −0.896993 0.442046i \(-0.854253\pi\)
−0.797125 + 0.603814i \(0.793647\pi\)
\(168\) 0.738142 3.26776i 0.0569489 0.252113i
\(169\) 4.80975 + 3.78243i 0.369981 + 0.290956i
\(170\) 1.09721 0.322171i 0.0841523 0.0247094i
\(171\) 7.47609 17.8458i 0.571711 1.36471i
\(172\) 7.34818 4.72239i 0.560293 0.360079i
\(173\) 0.815699 + 17.1236i 0.0620164 + 1.30188i 0.788643 + 0.614852i \(0.210784\pi\)
−0.726626 + 0.687033i \(0.758913\pi\)
\(174\) 1.19898 0.974021i 0.0908946 0.0738404i
\(175\) 6.90237 + 6.58139i 0.521770 + 0.497507i
\(176\) −4.51223 + 1.80642i −0.340122 + 0.136164i
\(177\) 6.90558 + 6.37869i 0.519056 + 0.479452i
\(178\) −5.03875 7.07593i −0.377670 0.530364i
\(179\) −22.7884 6.69127i −1.70328 0.500129i −0.721868 0.692031i \(-0.756716\pi\)
−0.981414 + 0.191902i \(0.938534\pi\)
\(180\) 0.281489 + 0.736905i 0.0209809 + 0.0549256i
\(181\) −0.612673 4.26123i −0.0455396 0.316735i −0.999840 0.0178860i \(-0.994306\pi\)
0.954300 0.298849i \(-0.0966027\pi\)
\(182\) 4.50970 2.32491i 0.334282 0.172334i
\(183\) 21.5428 11.5417i 1.59249 0.853185i
\(184\) −1.75522 4.46309i −0.129397 0.329024i
\(185\) 1.16745 + 2.02208i 0.0858327 + 0.148667i
\(186\) 7.04788 + 14.8073i 0.516776 + 1.08573i
\(187\) 19.6234 + 7.85601i 1.43500 + 0.574489i
\(188\) −0.596800 1.30681i −0.0435261 0.0953089i
\(189\) −6.21209 7.90052i −0.451863 0.574678i
\(190\) 0.704491 1.54262i 0.0511091 0.111913i
\(191\) −3.49985 10.1122i −0.253240 0.731690i −0.997932 0.0642811i \(-0.979525\pi\)
0.744691 0.667409i \(-0.232597\pi\)
\(192\) −1.11337 + 1.32680i −0.0803508 + 0.0957536i
\(193\) −5.74348 5.47640i −0.413425 0.394200i 0.454620 0.890685i \(-0.349775\pi\)
−0.868045 + 0.496486i \(0.834624\pi\)
\(194\) 0.730667 2.11112i 0.0524588 0.151570i
\(195\) −0.580883 + 1.04397i −0.0415979 + 0.0747602i
\(196\) −0.155067 3.25526i −0.0110762 0.232519i
\(197\) −6.53994 7.54749i −0.465951 0.537736i 0.473330 0.880885i \(-0.343052\pi\)
−0.939281 + 0.343149i \(0.888506\pi\)
\(198\) −4.33013 + 13.9234i −0.307729 + 0.989491i
\(199\) −1.99578 + 13.8810i −0.141477 + 0.983997i 0.788147 + 0.615488i \(0.211041\pi\)
−0.929624 + 0.368509i \(0.879868\pi\)
\(200\) −1.61273 4.65967i −0.114037 0.329488i
\(201\) 20.8769 + 10.3475i 1.47254 + 0.729857i
\(202\) −2.55052 10.5134i −0.179454 0.739720i
\(203\) −1.00061 + 1.40517i −0.0702294 + 0.0986234i
\(204\) 7.48618 0.834712i 0.524137 0.0584415i
\(205\) 1.44755 0.746265i 0.101101 0.0521214i
\(206\) −7.37321 −0.513716
\(207\) −13.7121 4.35640i −0.953057 0.302791i
\(208\) −2.62319 −0.181886
\(209\) 27.8624 14.3641i 1.92729 0.993585i
\(210\) −0.522271 0.709370i −0.0360401 0.0489512i
\(211\) 8.14379 11.4363i 0.560641 0.787311i −0.432820 0.901480i \(-0.642481\pi\)
0.993461 + 0.114170i \(0.0364208\pi\)
\(212\) −2.03529 8.38959i −0.139784 0.576199i
\(213\) −11.9718 + 7.96455i −0.820292 + 0.545722i
\(214\) 3.75822 + 10.8587i 0.256906 + 0.742282i
\(215\) 0.326866 2.27340i 0.0222921 0.155045i
\(216\) 0.983001 + 5.10232i 0.0668848 + 0.347169i
\(217\) −11.9924 13.8399i −0.814094 0.939515i
\(218\) 0.125645 + 2.63760i 0.00850972 + 0.178641i
\(219\) 6.33260 0.100329i 0.427917 0.00677963i
\(220\) −0.417999 + 1.20773i −0.0281815 + 0.0814251i
\(221\) 8.25642 + 7.87248i 0.555387 + 0.529560i
\(222\) 5.25999 + 14.4528i 0.353028 + 0.970010i
\(223\) −9.25257 26.7335i −0.619598 1.79021i −0.612807 0.790233i \(-0.709960\pi\)
−0.00679089 0.999977i \(-0.502162\pi\)
\(224\) 0.803487 1.75939i 0.0536852 0.117554i
\(225\) −13.9002 5.06004i −0.926682 0.337336i
\(226\) −0.290880 0.636938i −0.0193490 0.0423685i
\(227\) −12.6586 5.06774i −0.840181 0.336358i −0.0886558 0.996062i \(-0.528257\pi\)
−0.751525 + 0.659705i \(0.770681\pi\)
\(228\) 6.33479 9.20104i 0.419531 0.609354i
\(229\) 6.92182 + 11.9889i 0.457406 + 0.792251i 0.998823 0.0485032i \(-0.0154451\pi\)
−0.541417 + 0.840755i \(0.682112\pi\)
\(230\) −1.18915 0.419714i −0.0784101 0.0276751i
\(231\) 0.517019 16.2746i 0.0340174 1.07079i
\(232\) 0.792722 0.408677i 0.0520448 0.0268309i
\(233\) 0.892223 + 6.20555i 0.0584515 + 0.406539i 0.997951 + 0.0639878i \(0.0203819\pi\)
−0.939499 + 0.342551i \(0.888709\pi\)
\(234\) −4.96248 + 6.10770i −0.324408 + 0.399273i
\(235\) −0.362455 0.106427i −0.0236440 0.00694250i
\(236\) 3.14829 + 4.42115i 0.204936 + 0.287792i
\(237\) −3.48760 + 15.4397i −0.226544 + 1.00291i
\(238\) −7.80907 + 3.12628i −0.506187 + 0.202647i
\(239\) 2.91345 + 2.77797i 0.188456 + 0.179692i 0.778433 0.627728i \(-0.216015\pi\)
−0.589977 + 0.807420i \(0.700863\pi\)
\(240\) 0.0719484 + 0.449717i 0.00464425 + 0.0290291i
\(241\) −0.493701 10.3641i −0.0318021 0.667608i −0.957342 0.288958i \(-0.906691\pi\)
0.925540 0.378650i \(-0.123612\pi\)
\(242\) −10.6195 + 6.82471i −0.682645 + 0.438709i
\(243\) 13.7396 + 7.36367i 0.881395 + 0.472380i
\(244\) 13.5387 3.97533i 0.866729 0.254495i
\(245\) −0.673591 0.529718i −0.0430342 0.0338424i
\(246\) 10.2440 3.18502i 0.653133 0.203070i
\(247\) 16.8417 1.60819i 1.07161 0.102327i
\(248\) 2.23217 + 9.20113i 0.141743 + 0.584272i
\(249\) −6.16217 4.68992i −0.390511 0.297212i
\(250\) −2.42423 0.970514i −0.153322 0.0613807i
\(251\) 17.2331 + 11.0750i 1.08774 + 0.699050i 0.956333 0.292279i \(-0.0944134\pi\)
0.131409 + 0.991328i \(0.458050\pi\)
\(252\) −2.57646 5.19916i −0.162301 0.327516i
\(253\) −12.4822 19.6858i −0.784749 1.23764i
\(254\) 1.46057 2.52978i 0.0916444 0.158733i
\(255\) 1.12319 1.63139i 0.0703370 0.102162i
\(256\) −0.786053 + 0.618159i −0.0491283 + 0.0386349i
\(257\) −14.2697 + 20.0390i −0.890122 + 1.25000i 0.0773456 + 0.997004i \(0.475356\pi\)
−0.967467 + 0.252997i \(0.918584\pi\)
\(258\) 4.72114 14.3736i 0.293926 0.894862i
\(259\) −9.96252 13.9904i −0.619041 0.869322i
\(260\) −0.451695 + 0.521284i −0.0280129 + 0.0323287i
\(261\) 0.548109 2.61886i 0.0339271 0.162103i
\(262\) 8.09335 2.37642i 0.500009 0.146816i
\(263\) −15.2525 + 2.93969i −0.940512 + 0.181269i −0.636393 0.771365i \(-0.719574\pi\)
−0.304119 + 0.952634i \(0.598362\pi\)
\(264\) −4.09320 + 7.35635i −0.251919 + 0.452752i
\(265\) −2.01765 1.04017i −0.123943 0.0638973i
\(266\) −4.08001 + 11.7884i −0.250162 + 0.722794i
\(267\) −14.5016 4.00965i −0.887483 0.245386i
\(268\) 10.5744 + 8.31583i 0.645937 + 0.507970i
\(269\) 0.0371009 0.0428167i 0.00226208 0.00261058i −0.754617 0.656165i \(-0.772178\pi\)
0.756879 + 0.653554i \(0.226723\pi\)
\(270\) 1.18321 + 0.683241i 0.0720076 + 0.0415807i
\(271\) 7.83263 + 2.29987i 0.475799 + 0.139707i 0.510835 0.859679i \(-0.329336\pi\)
−0.0350361 + 0.999386i \(0.511155\pi\)
\(272\) 4.32924 + 0.413392i 0.262499 + 0.0250656i
\(273\) 3.52355 8.05062i 0.213255 0.487246i
\(274\) 0.703228 14.7626i 0.0424836 0.891840i
\(275\) −11.9829 20.7551i −0.722599 1.25158i
\(276\) −7.23385 4.08306i −0.435427 0.245772i
\(277\) 3.55213 6.15248i 0.213427 0.369667i −0.739358 0.673313i \(-0.764871\pi\)
0.952785 + 0.303646i \(0.0982041\pi\)
\(278\) −2.43129 1.56250i −0.145819 0.0937122i
\(279\) 25.6462 + 12.2092i 1.53540 + 0.730945i
\(280\) −0.211273 0.462624i −0.0126260 0.0276471i
\(281\) 8.46984 8.07597i 0.505268 0.481772i −0.394037 0.919095i \(-0.628922\pi\)
0.899305 + 0.437323i \(0.144073\pi\)
\(282\) −2.22950 1.10504i −0.132765 0.0658040i
\(283\) −3.26763 0.629785i −0.194241 0.0374368i 0.0912029 0.995832i \(-0.470929\pi\)
−0.285444 + 0.958396i \(0.592141\pi\)
\(284\) −7.70708 + 3.08545i −0.457331 + 0.183088i
\(285\) −0.737636 2.84321i −0.0436938 0.168417i
\(286\) −12.5193 + 2.41290i −0.740284 + 0.142678i
\(287\) −10.0779 + 6.47667i −0.594879 + 0.382306i
\(288\) −0.0477457 + 2.99962i −0.00281344 + 0.176754i
\(289\) −1.25288 1.44590i −0.0736989 0.0850530i
\(290\) 0.0552884 0.227902i 0.00324665 0.0133829i
\(291\) −1.32332 3.63607i −0.0775743 0.213150i
\(292\) 3.59051 + 0.692013i 0.210118 + 0.0404970i
\(293\) −13.3223 + 1.27212i −0.778296 + 0.0743183i −0.476640 0.879099i \(-0.658145\pi\)
−0.301656 + 0.953417i \(0.597539\pi\)
\(294\) −3.76359 4.20687i −0.219497 0.245350i
\(295\) 1.42069 + 0.135659i 0.0827157 + 0.00789839i
\(296\) 1.26372 + 8.78940i 0.0734525 + 0.510873i
\(297\) 9.38472 + 23.4469i 0.544557 + 1.36053i
\(298\) −3.16160 −0.183146
\(299\) −2.30541 12.3673i −0.133325 0.715222i
\(300\) −7.25697 4.50295i −0.418981 0.259978i
\(301\) −0.803880 + 16.8755i −0.0463349 + 0.972689i
\(302\) −11.6205 + 9.13845i −0.668684 + 0.525859i
\(303\) −14.9106 11.3482i −0.856594 0.651939i
\(304\) 4.66773 4.45067i 0.267713 0.255264i
\(305\) 1.54129 3.37496i 0.0882542 0.193250i
\(306\) 9.15246 9.29792i 0.523211 0.531527i
\(307\) 1.91513 13.3200i 0.109302 0.760215i −0.859277 0.511511i \(-0.829086\pi\)
0.968579 0.248704i \(-0.0800048\pi\)
\(308\) 2.21634 9.13586i 0.126287 0.520564i
\(309\) −9.91219 + 8.05240i −0.563885 + 0.458085i
\(310\) 2.21282 + 1.14079i 0.125680 + 0.0647925i
\(311\) 7.47274 + 3.85247i 0.423740 + 0.218453i 0.656888 0.753988i \(-0.271872\pi\)
−0.233148 + 0.972441i \(0.574903\pi\)
\(312\) −3.52649 + 2.86483i −0.199648 + 0.162189i
\(313\) 3.91398 16.1336i 0.221231 0.911928i −0.747589 0.664162i \(-0.768789\pi\)
0.968820 0.247766i \(-0.0796963\pi\)
\(314\) 0.807569 5.61677i 0.0455738 0.316973i
\(315\) −1.47683 0.383262i −0.0832100 0.0215944i
\(316\) −3.79635 + 8.31284i −0.213561 + 0.467634i
\(317\) −10.6936 + 10.1964i −0.600615 + 0.572685i −0.928174 0.372145i \(-0.878622\pi\)
0.327560 + 0.944831i \(0.393774\pi\)
\(318\) −11.8986 9.05579i −0.667238 0.507823i
\(319\) 3.40740 2.67961i 0.190778 0.150029i
\(320\) −0.0125115 + 0.262648i −0.000699412 + 0.0146825i
\(321\) 16.9113 + 10.4934i 0.943895 + 0.585687i
\(322\) 9.00100 + 2.24188i 0.501606 + 0.124935i
\(323\) −28.0485 −1.56066
\(324\) 6.89383 + 5.78577i 0.382991 + 0.321432i
\(325\) −1.84078 12.8029i −0.102108 0.710179i
\(326\) −19.2137 1.83468i −1.06415 0.101614i
\(327\) 3.04948 + 3.40865i 0.168637 + 0.188499i
\(328\) 6.16560 0.588744i 0.340438 0.0325079i
\(329\) 2.72849 + 0.525874i 0.150427 + 0.0289924i
\(330\) 0.757042 + 2.08012i 0.0416738 + 0.114507i
\(331\) 1.57109 6.47614i 0.0863551 0.355961i −0.912197 0.409752i \(-0.865615\pi\)
0.998552 + 0.0537911i \(0.0171305\pi\)
\(332\) −2.92784 3.37890i −0.160686 0.185441i
\(333\) 22.8554 + 13.6852i 1.25247 + 0.749942i
\(334\) −18.5012 + 11.8900i −1.01234 + 0.650591i
\(335\) 3.47337 0.669438i 0.189771 0.0365753i
\(336\) −0.841290 3.24274i −0.0458961 0.176906i
\(337\) 18.3444 7.34400i 0.999285 0.400053i 0.186398 0.982474i \(-0.440319\pi\)
0.812887 + 0.582421i \(0.197894\pi\)
\(338\) 6.00828 + 1.15800i 0.326808 + 0.0629870i
\(339\) −1.08665 0.538594i −0.0590190 0.0292524i
\(340\) 0.827614 0.789128i 0.0448837 0.0427965i
\(341\) 19.1167 + 41.8597i 1.03523 + 2.26683i
\(342\) −1.53242 19.2878i −0.0828638 1.04296i
\(343\) 16.6927 + 10.7277i 0.901321 + 0.579244i
\(344\) 4.36740 7.56456i 0.235474 0.407853i
\(345\) −2.05701 + 0.734445i −0.110746 + 0.0395412i
\(346\) 8.57152 + 14.8463i 0.460808 + 0.798142i
\(347\) −1.36372 + 28.6279i −0.0732081 + 1.53683i 0.601578 + 0.798814i \(0.294539\pi\)
−0.674786 + 0.738013i \(0.735764\pi\)
\(348\) 0.619375 1.41515i 0.0332020 0.0758600i
\(349\) 33.5575 + 3.20435i 1.79629 + 0.171525i 0.939139 0.343537i \(-0.111625\pi\)
0.857153 + 0.515062i \(0.172231\pi\)
\(350\) 9.15084 + 2.68693i 0.489133 + 0.143622i
\(351\) −0.00100757 + 13.6305i −5.37802e−5 + 0.727543i
\(352\) −3.18288 + 3.67324i −0.169648 + 0.195784i
\(353\) −16.3155 12.8306i −0.868386 0.682906i 0.0811032 0.996706i \(-0.474156\pi\)
−0.949489 + 0.313799i \(0.898398\pi\)
\(354\) 9.06081 + 2.50529i 0.481577 + 0.133155i
\(355\) −0.713960 + 2.06285i −0.0378931 + 0.109485i
\(356\) −7.72100 3.98045i −0.409212 0.210963i
\(357\) −7.08388 + 12.7312i −0.374918 + 0.673808i
\(358\) −23.3212 + 4.49480i −1.23256 + 0.237557i
\(359\) 22.8498 6.70932i 1.20597 0.354104i 0.383837 0.923401i \(-0.374603\pi\)
0.822132 + 0.569297i \(0.192784\pi\)
\(360\) 0.587867 + 0.526001i 0.0309833 + 0.0277227i
\(361\) −14.7974 + 17.0771i −0.778809 + 0.898793i
\(362\) −2.49717 3.50679i −0.131249 0.184313i
\(363\) −6.82291 + 20.7725i −0.358110 + 1.09027i
\(364\) 2.94305 4.13293i 0.154258 0.216625i
\(365\) 0.755777 0.594350i 0.0395592 0.0311097i
\(366\) 13.8593 20.1301i 0.724438 1.05222i
\(367\) 3.16321 5.47885i 0.165118 0.285993i −0.771579 0.636134i \(-0.780533\pi\)
0.936697 + 0.350140i \(0.113866\pi\)
\(368\) −3.60521 3.16267i −0.187935 0.164865i
\(369\) 10.2931 15.4694i 0.535838 0.805306i
\(370\) 1.96424 + 1.26234i 0.102116 + 0.0656261i
\(371\) 15.5016 + 6.20589i 0.804801 + 0.322194i
\(372\) 13.0495 + 9.93177i 0.676586 + 0.514938i
\(373\) 0.917653 + 3.78262i 0.0475143 + 0.195857i 0.990622 0.136631i \(-0.0436273\pi\)
−0.943108 + 0.332487i \(0.892112\pi\)
\(374\) 21.0418 2.00925i 1.08804 0.103896i
\(375\) −4.31893 + 1.34282i −0.223028 + 0.0693432i
\(376\) −1.12927 0.888069i −0.0582377 0.0457987i
\(377\) 2.24477 0.659124i 0.115611 0.0339466i
\(378\) −9.14175 4.17572i −0.470201 0.214776i
\(379\) −10.6163 + 6.82270i −0.545324 + 0.350458i −0.784118 0.620612i \(-0.786884\pi\)
0.238794 + 0.971070i \(0.423248\pi\)
\(380\) −0.0806929 1.69395i −0.00413946 0.0868979i
\(381\) −0.799295 4.99603i −0.0409491 0.255954i
\(382\) −7.74445 7.38432i −0.396241 0.377815i
\(383\) −4.98127 + 1.99420i −0.254531 + 0.101899i −0.495419 0.868654i \(-0.664986\pi\)
0.240888 + 0.970553i \(0.422561\pi\)
\(384\) −0.381631 + 1.68948i −0.0194750 + 0.0862161i
\(385\) −1.43385 2.01356i −0.0730759 0.102621i
\(386\) −7.61444 2.23580i −0.387565 0.113799i
\(387\) −9.35078 24.4792i −0.475327 1.24435i
\(388\) −0.317930 2.21125i −0.0161405 0.112259i
\(389\) −13.8458 + 7.13799i −0.702008 + 0.361910i −0.771987 0.635638i \(-0.780737\pi\)
0.0699789 + 0.997548i \(0.477707\pi\)
\(390\) −0.0379346 + 1.19409i −0.00192089 + 0.0604652i
\(391\) 1.85579 + 20.7740i 0.0938512 + 1.05059i
\(392\) −1.62948 2.82234i −0.0823010 0.142550i
\(393\) 8.28498 12.0336i 0.417922 0.607016i
\(394\) −9.27139 3.71170i −0.467086 0.186993i
\(395\) 0.998234 + 2.18583i 0.0502266 + 0.109981i
\(396\) 2.53129 + 14.3598i 0.127202 + 0.721606i
\(397\) 8.47664 18.5613i 0.425430 0.931563i −0.568616 0.822603i \(-0.692521\pi\)
0.994046 0.108959i \(-0.0347519\pi\)
\(398\) 4.58671 + 13.2524i 0.229911 + 0.664284i
\(399\) 7.38935 + 20.3036i 0.369930 + 1.01645i
\(400\) −3.56863 3.40268i −0.178432 0.170134i
\(401\) −3.04238 + 8.79038i −0.151929 + 0.438971i −0.995123 0.0986385i \(-0.968551\pi\)
0.843194 + 0.537609i \(0.180672\pi\)
\(402\) 23.2976 0.369112i 1.16198 0.0184096i
\(403\) 1.18177 + 24.8083i 0.0588679 + 1.23579i
\(404\) −7.08451 8.17596i −0.352468 0.406769i
\(405\) 2.33682 0.373682i 0.116118 0.0185684i
\(406\) −0.245497 + 1.70747i −0.0121838 + 0.0847403i
\(407\) 14.1160 + 40.7855i 0.699704 + 2.02166i
\(408\) 6.27149 4.17229i 0.310485 0.206559i
\(409\) −2.68719 11.0767i −0.132873 0.547710i −0.998864 0.0476503i \(-0.984827\pi\)
0.865991 0.500059i \(-0.166688\pi\)
\(410\) 0.944677 1.32661i 0.0466543 0.0655168i
\(411\) −15.1771 20.6141i −0.748629 1.01682i
\(412\) −6.55357 + 3.37860i −0.322871 + 0.166452i
\(413\) −10.4978 −0.516565
\(414\) −14.1840 + 2.41113i −0.697107 + 0.118500i
\(415\) −1.17561 −0.0577085
\(416\) −2.33159 + 1.20202i −0.114315 + 0.0589337i
\(417\) −4.97494 + 0.554707i −0.243624 + 0.0271641i
\(418\) 18.1831 25.5346i 0.889366 1.24894i
\(419\) 3.26316 + 13.4509i 0.159416 + 0.657121i 0.994293 + 0.106685i \(0.0340235\pi\)
−0.834877 + 0.550437i \(0.814461\pi\)
\(420\) −0.789265 0.391195i −0.0385122 0.0190884i
\(421\) −6.20636 17.9321i −0.302480 0.873958i −0.989140 0.146979i \(-0.953045\pi\)
0.686660 0.726979i \(-0.259076\pi\)
\(422\) 1.99805 13.8967i 0.0972634 0.676482i
\(423\) −4.20406 + 0.949310i −0.204408 + 0.0461571i
\(424\) −5.65337 6.52434i −0.274552 0.316850i
\(425\) 1.02035 + 21.4197i 0.0494940 + 1.03901i
\(426\) −6.99136 + 12.5650i −0.338732 + 0.608774i
\(427\) −8.92629 + 25.7908i −0.431974 + 1.24811i
\(428\) 8.31616 + 7.92944i 0.401977 + 0.383284i
\(429\) −14.1952 + 16.9164i −0.685352 + 0.816729i
\(430\) −0.751203 2.17046i −0.0362262 0.104669i
\(431\) −4.32036 + 9.46028i −0.208105 + 0.455686i −0.984687 0.174330i \(-0.944224\pi\)
0.776583 + 0.630015i \(0.216951\pi\)
\(432\) 3.21175 + 4.08469i 0.154525 + 0.196525i
\(433\) −0.618309 1.35391i −0.0297140 0.0650646i 0.894193 0.447682i \(-0.147750\pi\)
−0.923907 + 0.382617i \(0.875023\pi\)
\(434\) −17.0010 6.80619i −0.816076 0.326708i
\(435\) −0.174568 0.366762i −0.00836991 0.0175849i
\(436\) 1.32030 + 2.28682i 0.0632308 + 0.109519i
\(437\) 25.0855 + 18.0951i 1.20000 + 0.865605i
\(438\) 5.58266 2.99094i 0.266750 0.142913i
\(439\) −31.0255 + 15.9947i −1.48076 + 0.763387i −0.993920 0.110102i \(-0.964882\pi\)
−0.486844 + 0.873489i \(0.661852\pi\)
\(440\) 0.181881 + 1.26501i 0.00867084 + 0.0603070i
\(441\) −9.65398 1.54523i −0.459713 0.0735826i
\(442\) 10.9460 + 3.21403i 0.520647 + 0.152876i
\(443\) 2.11602 + 2.97154i 0.100535 + 0.141182i 0.861779 0.507284i \(-0.169350\pi\)
−0.761244 + 0.648466i \(0.775411\pi\)
\(444\) 11.2979 + 10.4359i 0.536176 + 0.495266i
\(445\) −2.12050 + 0.848921i −0.100521 + 0.0402427i
\(446\) −20.4740 19.5219i −0.969473 0.924391i
\(447\) −4.25030 + 3.45283i −0.201032 + 0.163313i
\(448\) −0.0920319 1.93199i −0.00434810 0.0912778i
\(449\) 34.1953 21.9760i 1.61378 1.03711i 0.653945 0.756542i \(-0.273113\pi\)
0.959834 0.280570i \(-0.0905235\pi\)
\(450\) −14.6737 + 1.87191i −0.691723 + 0.0882425i
\(451\) 28.8841 8.48114i 1.36010 0.399361i
\(452\) −0.550406 0.432844i −0.0258889 0.0203593i
\(453\) −5.64177 + 24.9762i −0.265074 + 1.17348i
\(454\) −13.5736 + 1.29612i −0.637040 + 0.0608299i
\(455\) −0.314529 1.29651i −0.0147454 0.0607812i
\(456\) 1.41442 11.0810i 0.0662364 0.518914i
\(457\) −28.9062 11.5723i −1.35218 0.541330i −0.421385 0.906882i \(-0.638456\pi\)
−0.930791 + 0.365552i \(0.880880\pi\)
\(458\) 11.6460 + 7.48443i 0.544182 + 0.349725i
\(459\) 2.14971 22.4952i 0.100340 1.04999i
\(460\) −1.24928 + 0.171843i −0.0582480 + 0.00801221i
\(461\) 0.377232 0.653385i 0.0175694 0.0304312i −0.857107 0.515138i \(-0.827741\pi\)
0.874676 + 0.484707i \(0.161074\pi\)
\(462\) −6.99789 14.7023i −0.325571 0.684013i
\(463\) −0.864616 + 0.679942i −0.0401821 + 0.0315996i −0.638048 0.769997i \(-0.720258\pi\)
0.597866 + 0.801596i \(0.296015\pi\)
\(464\) 0.517333 0.726493i 0.0240166 0.0337266i
\(465\) 4.22069 0.883037i 0.195730 0.0409499i
\(466\) 3.63659 + 5.10687i 0.168462 + 0.236571i
\(467\) −9.27065 + 10.6989i −0.428995 + 0.495086i −0.928556 0.371192i \(-0.878949\pi\)
0.499561 + 0.866278i \(0.333495\pi\)
\(468\) −1.61212 + 7.70268i −0.0745203 + 0.356057i
\(469\) −24.9657 + 7.33059i −1.15281 + 0.338495i
\(470\) −0.370931 + 0.0714910i −0.0171098 + 0.00329764i
\(471\) −5.04851 8.43287i −0.232623 0.388566i
\(472\) 4.82420 + 2.48705i 0.222052 + 0.114476i
\(473\) 13.8855 40.1195i 0.638456 1.84470i
\(474\) 3.97496 + 15.3214i 0.182576 + 0.703737i
\(475\) 24.9978 + 19.6585i 1.14698 + 0.901992i
\(476\) −5.50843 + 6.35707i −0.252479 + 0.291376i
\(477\) −25.8858 + 0.820440i −1.18523 + 0.0375654i
\(478\) 3.86252 + 1.13414i 0.176668 + 0.0518743i
\(479\) −8.49340 0.811021i −0.388073 0.0370565i −0.100804 0.994906i \(-0.532141\pi\)
−0.287269 + 0.957850i \(0.592747\pi\)
\(480\) 0.270022 + 0.366755i 0.0123248 + 0.0167400i
\(481\) −1.10834 + 23.2670i −0.0505361 + 1.06088i
\(482\) −5.18791 8.98572i −0.236303 0.409288i
\(483\) 14.5489 6.81626i 0.661998 0.310150i
\(484\) −6.31169 + 10.9322i −0.286895 + 0.496917i
\(485\) −0.494168 0.317582i −0.0224390 0.0144207i
\(486\) 15.5865 + 0.249246i 0.707016 + 0.0113060i
\(487\) 6.16363 + 13.4965i 0.279301 + 0.611583i 0.996343 0.0854469i \(-0.0272318\pi\)
−0.717042 + 0.697030i \(0.754505\pi\)
\(488\) 10.2121 9.73723i 0.462281 0.440784i
\(489\) −27.8336 + 18.5171i −1.25868 + 0.837372i
\(490\) −0.841443 0.162175i −0.0380125 0.00732631i
\(491\) 21.4935 8.60469i 0.969987 0.388324i 0.168080 0.985773i \(-0.446243\pi\)
0.801907 + 0.597449i \(0.203819\pi\)
\(492\) 7.64576 7.52503i 0.344698 0.339255i
\(493\) −3.80857 + 0.734042i −0.171529 + 0.0330596i
\(494\) 14.2326 9.14673i 0.640355 0.411531i
\(495\) 3.28946 + 1.96963i 0.147850 + 0.0885283i
\(496\) 6.20023 + 7.15545i 0.278399 + 0.321289i
\(497\) 3.78560 15.6044i 0.169807 0.699955i
\(498\) −7.62620 1.34490i −0.341738 0.0602663i
\(499\) 40.3652 + 7.77976i 1.80700 + 0.348270i 0.977613 0.210411i \(-0.0674803\pi\)
0.829383 + 0.558681i \(0.188692\pi\)
\(500\) −2.59945 + 0.248218i −0.116251 + 0.0111006i
\(501\) −11.8869 + 36.1898i −0.531066 + 1.61684i
\(502\) 20.3922 + 1.94722i 0.910151 + 0.0869088i
\(503\) 1.78332 + 12.4033i 0.0795145 + 0.553036i 0.990170 + 0.139869i \(0.0446682\pi\)
−0.910655 + 0.413167i \(0.864423\pi\)
\(504\) −4.67244 3.44060i −0.208127 0.153256i
\(505\) −2.84464 −0.126585
\(506\) −20.1152 11.7778i −0.894229 0.523587i
\(507\) 9.34192 5.00498i 0.414889 0.222279i
\(508\) 0.138994 2.91783i 0.00616684 0.129458i
\(509\) 12.4491 9.79006i 0.551796 0.433937i −0.302933 0.953012i \(-0.597966\pi\)
0.854729 + 0.519075i \(0.173723\pi\)
\(510\) 0.250785 1.96472i 0.0111049 0.0869991i
\(511\) −5.11860 + 4.88058i −0.226434 + 0.215904i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) −23.1246 24.2560i −1.02098 1.07093i
\(514\) −3.50103 + 24.3502i −0.154424 + 1.07404i
\(515\) −0.457079 + 1.88410i −0.0201413 + 0.0830235i
\(516\) −2.39005 14.9391i −0.105216 0.657659i
\(517\) −6.20639 3.19962i −0.272957 0.140719i
\(518\) −15.2658 7.87008i −0.670742 0.345791i
\(519\) 27.7370 + 10.5976i 1.21752 + 0.465182i
\(520\) −0.162617 + 0.670314i −0.00713121 + 0.0293952i
\(521\) −2.30670 + 16.0435i −0.101058 + 0.702877i 0.874802 + 0.484481i \(0.160992\pi\)
−0.975860 + 0.218396i \(0.929918\pi\)
\(522\) −0.712850 2.57889i −0.0312006 0.112875i
\(523\) −6.86616 + 15.0348i −0.300236 + 0.657426i −0.998280 0.0586297i \(-0.981327\pi\)
0.698044 + 0.716055i \(0.254054\pi\)
\(524\) 6.10472 5.82083i 0.266686 0.254284i
\(525\) 15.2364 6.38160i 0.664970 0.278516i
\(526\) −12.2100 + 9.60201i −0.532379 + 0.418668i
\(527\) 1.95922 41.1291i 0.0853450 1.79161i
\(528\) −0.267307 + 8.41419i −0.0116330 + 0.366181i
\(529\) 11.7423 19.7767i 0.510535 0.859857i
\(530\) −2.27000 −0.0986023
\(531\) 14.9170 6.52747i 0.647342 0.283268i
\(532\) 1.77531 + 12.3475i 0.0769693 + 0.535333i
\(533\) 16.1736 + 1.54439i 0.700555 + 0.0668949i
\(534\) −14.7269 + 3.08110i −0.637293 + 0.133332i
\(535\) 3.00773 0.287204i 0.130036 0.0124169i
\(536\) 13.2095 + 2.54592i 0.570562 + 0.109967i
\(537\) −26.4431 + 31.5121i −1.14110 + 1.35985i
\(538\) 0.0133568 0.0550577i 0.000575854 0.00237370i
\(539\) −10.3729 11.9709i −0.446790 0.515624i
\(540\) 1.36475 + 0.0651124i 0.0587297 + 0.00280199i
\(541\) −12.9616 + 8.32994i −0.557264 + 0.358132i −0.788758 0.614704i \(-0.789275\pi\)
0.231493 + 0.972837i \(0.425639\pi\)
\(542\) 8.01578 1.54492i 0.344307 0.0663598i
\(543\) −7.18691 1.98716i −0.308420 0.0852771i
\(544\) 4.03741 1.61633i 0.173102 0.0692998i
\(545\) 0.681786 + 0.131403i 0.0292045 + 0.00562870i
\(546\) −0.557150 8.77027i −0.0238438 0.375333i
\(547\) 15.0691 14.3683i 0.644307 0.614346i −0.295790 0.955253i \(-0.595583\pi\)
0.940097 + 0.340907i \(0.110734\pi\)
\(548\) −6.13955 13.4437i −0.262269 0.574288i
\(549\) −3.35265 42.1980i −0.143087 1.80096i
\(550\) −20.1614 12.9569i −0.859685 0.552486i
\(551\) −2.87605 + 4.98147i −0.122524 + 0.212218i
\(552\) −8.30067 0.314431i −0.353300 0.0133831i
\(553\) −8.83792 15.3077i −0.375827 0.650951i
\(554\) 0.338035 7.09622i 0.0143617 0.301490i
\(555\) 4.01926 0.448149i 0.170608 0.0190229i
\(556\) −2.87699 0.274720i −0.122012 0.0116507i
\(557\) 19.6214 + 5.76137i 0.831387 + 0.244117i 0.669612 0.742711i \(-0.266460\pi\)
0.161774 + 0.986828i \(0.448278\pi\)
\(558\) 28.3898 0.899803i 1.20184 0.0380917i
\(559\) 15.0049 17.3165i 0.634638 0.732411i
\(560\) −0.399774 0.314386i −0.0168935 0.0132852i
\(561\) 26.0932 25.6812i 1.10166 1.08426i
\(562\) 3.82767 11.0593i 0.161460 0.466509i
\(563\) −9.87661 5.09174i −0.416249 0.214591i 0.237363 0.971421i \(-0.423717\pi\)
−0.653612 + 0.756830i \(0.726747\pi\)
\(564\) −2.48801 + 0.0394184i −0.104764 + 0.00165981i
\(565\) −0.180791 + 0.0348447i −0.00760595 + 0.00146593i
\(566\) −3.19297 + 0.937541i −0.134211 + 0.0394078i
\(567\) −16.8501 + 4.37022i −0.707638 + 0.183532i
\(568\) −5.43649 + 6.27405i −0.228110 + 0.263253i
\(569\) −21.8657 30.7061i −0.916659 1.28727i −0.957599 0.288105i \(-0.906975\pi\)
0.0409401 0.999162i \(-0.486965\pi\)
\(570\) −1.95847 2.18914i −0.0820313 0.0916930i
\(571\) −8.96342 + 12.5874i −0.375107 + 0.526764i −0.958374 0.285516i \(-0.907835\pi\)
0.583267 + 0.812281i \(0.301774\pi\)
\(572\) −10.0220 + 7.88136i −0.419040 + 0.329536i
\(573\) −18.4758 1.46928i −0.771838 0.0613802i
\(574\) −5.98981 + 10.3747i −0.250010 + 0.433030i
\(575\) 12.9060 19.8152i 0.538219 0.826351i
\(576\) 1.33207 + 2.68805i 0.0555028 + 0.112002i
\(577\) 2.95213 + 1.89722i 0.122899 + 0.0789824i 0.600646 0.799515i \(-0.294910\pi\)
−0.477747 + 0.878497i \(0.658546\pi\)
\(578\) −1.77616 0.711065i −0.0738783 0.0295764i
\(579\) −12.6782 + 5.31015i −0.526890 + 0.220682i
\(580\) −0.0552884 0.227902i −0.00229573 0.00946311i
\(581\) 8.60842 0.822004i 0.357137 0.0341025i
\(582\) −2.84235 2.62548i −0.117819 0.108830i
\(583\) −32.9823 25.9376i −1.36599 1.07423i
\(584\) 3.50847 1.03018i 0.145181 0.0426291i
\(585\) 1.25309 + 1.64671i 0.0518089 + 0.0680831i
\(586\) −11.2584 + 7.23533i −0.465080 + 0.298889i
\(587\) 1.84173 + 38.6626i 0.0760163 + 1.59578i 0.638932 + 0.769263i \(0.279377\pi\)
−0.562916 + 0.826514i \(0.690320\pi\)
\(588\) −5.27291 2.01464i −0.217451 0.0830822i
\(589\) −44.1942 42.1390i −1.82099 1.73631i
\(590\) 1.32492 0.530418i 0.0545461 0.0218370i
\(591\) −16.5176 + 5.13559i −0.679444 + 0.211250i
\(592\) 5.15078 + 7.23326i 0.211696 + 0.297285i
\(593\) −29.5236 8.66890i −1.21239 0.355989i −0.387811 0.921739i \(-0.626769\pi\)
−0.824577 + 0.565750i \(0.808587\pi\)
\(594\) 19.0855 + 16.5401i 0.783086 + 0.678650i
\(595\) 0.314772 + 2.18928i 0.0129044 + 0.0897519i
\(596\) −2.81014 + 1.44873i −0.115108 + 0.0593422i
\(597\) 20.6394 + 12.8067i 0.844712 + 0.524144i
\(598\) −7.71617 9.93614i −0.315538 0.406319i
\(599\) −0.120095 0.208010i −0.00490694 0.00849907i 0.863562 0.504244i \(-0.168229\pi\)
−0.868468 + 0.495744i \(0.834895\pi\)
\(600\) −8.51362 0.677044i −0.347567 0.0276402i
\(601\) 34.7034 + 13.8931i 1.41558 + 0.566713i 0.948294 0.317393i \(-0.102807\pi\)
0.467287 + 0.884106i \(0.345232\pi\)
\(602\) 7.01829 + 15.3679i 0.286044 + 0.626350i
\(603\) 30.9171 25.9399i 1.25904 1.05636i
\(604\) −6.14122 + 13.4474i −0.249883 + 0.547167i
\(605\) 1.08562 + 3.13671i 0.0441369 + 0.127525i
\(606\) −18.4532 3.25426i −0.749609 0.132195i
\(607\) 18.5493 + 17.6868i 0.752895 + 0.717884i 0.965828 0.259183i \(-0.0834533\pi\)
−0.212933 + 0.977067i \(0.568302\pi\)
\(608\) 2.10943 6.09479i 0.0855486 0.247177i
\(609\) 1.53472 + 2.56355i 0.0621900 + 0.103880i
\(610\) −0.176541 3.70605i −0.00714792 0.150053i
\(611\) −2.46789 2.84810i −0.0998401 0.115222i
\(612\) 3.87447 12.4582i 0.156616 0.503594i
\(613\) 0.945988 6.57949i 0.0382081 0.265743i −0.961759 0.273898i \(-0.911687\pi\)
0.999967 + 0.00815516i \(0.00259590\pi\)
\(614\) −4.40136 12.7169i −0.177624 0.513212i
\(615\) −0.178837 2.81513i −0.00721141 0.113517i
\(616\) −2.21634 9.13586i −0.0892987 0.368094i
\(617\) −2.92136 + 4.10248i −0.117610 + 0.165160i −0.869184 0.494489i \(-0.835355\pi\)
0.751574 + 0.659648i \(0.229295\pi\)
\(618\) −5.12048 + 11.6993i −0.205976 + 0.470614i
\(619\) 3.54753 1.82888i 0.142587 0.0735088i −0.385456 0.922726i \(-0.625956\pi\)
0.528044 + 0.849217i \(0.322926\pi\)
\(620\) 2.48958 0.0999838
\(621\) −16.4351 + 18.7320i −0.659517 + 0.751689i
\(622\) 8.40734 0.337104
\(623\) 14.9338 7.69890i 0.598309 0.308450i
\(624\) −1.82173 + 4.16230i −0.0729276 + 0.166625i
\(625\) 13.9026 19.5235i 0.556105 0.780940i
\(626\) −3.91398 16.1336i −0.156434 0.644830i
\(627\) −3.44226 54.1856i −0.137470 2.16396i
\(628\) −1.85596 5.36243i −0.0740607 0.213984i
\(629\) 5.49585 38.2245i 0.219134 1.52411i
\(630\) −1.48828 + 0.336066i −0.0592945 + 0.0133892i
\(631\) 5.23703 + 6.04385i 0.208483 + 0.240602i 0.850355 0.526210i \(-0.176387\pi\)
−0.641872 + 0.766812i \(0.721842\pi\)
\(632\) 0.434836 + 9.12834i 0.0172969 + 0.363106i
\(633\) −12.4908 20.8642i −0.496463 0.829277i
\(634\) −4.83264 + 13.9630i −0.191929 + 0.554542i
\(635\) −0.555902 0.530051i −0.0220603 0.0210344i
\(636\) −14.7255 2.59687i −0.583903 0.102973i
\(637\) −2.79606 8.07868i −0.110784 0.320089i
\(638\) 1.80075 3.94309i 0.0712923 0.156108i
\(639\) 4.32354 + 24.5271i 0.171037 + 0.970277i
\(640\) 0.109232 + 0.239184i 0.00431776 + 0.00945458i
\(641\) 29.9854 + 12.0043i 1.18435 + 0.474142i 0.878410 0.477908i \(-0.158605\pi\)
0.305941 + 0.952051i \(0.401029\pi\)
\(642\) 19.8397 + 1.57775i 0.783011 + 0.0622688i
\(643\) 15.4957 + 26.8393i 0.611090 + 1.05844i 0.991057 + 0.133439i \(0.0426021\pi\)
−0.379967 + 0.925000i \(0.624065\pi\)
\(644\) 9.02770 2.13183i 0.355741 0.0840060i
\(645\) −3.38027 2.09746i −0.133098 0.0825873i
\(646\) −24.9305 + 12.8526i −0.980877 + 0.505677i
\(647\) −4.89402 34.0387i −0.192404 1.33820i −0.825621 0.564225i \(-0.809175\pi\)
0.633217 0.773974i \(-0.281734\pi\)
\(648\) 8.77867 + 1.98366i 0.344859 + 0.0779255i
\(649\) 25.3114 + 7.43210i 0.993560 + 0.291736i
\(650\) −7.50280 10.5362i −0.294284 0.413264i
\(651\) −30.2885 + 9.41720i −1.18710 + 0.369089i
\(652\) −17.9185 + 7.17348i −0.701742 + 0.280935i
\(653\) −17.6744 16.8525i −0.691652 0.659488i 0.260374 0.965508i \(-0.416154\pi\)
−0.952025 + 0.306019i \(0.901003\pi\)
\(654\) 4.27242 + 1.63238i 0.167065 + 0.0638309i
\(655\) −0.105535 2.21544i −0.00412358 0.0865645i
\(656\) 5.21043 3.34854i 0.203433 0.130738i
\(657\) 4.23861 10.1178i 0.165364 0.394733i
\(658\) 2.66615 0.782853i 0.103937 0.0305188i
\(659\) 12.8531 + 10.1078i 0.500684 + 0.393742i 0.836313 0.548252i \(-0.184707\pi\)
−0.335629 + 0.941994i \(0.608949\pi\)
\(660\) 1.62605 + 1.50198i 0.0632939 + 0.0584647i
\(661\) −24.1869 + 2.30957i −0.940761 + 0.0898318i −0.554156 0.832413i \(-0.686959\pi\)
−0.386606 + 0.922245i \(0.626353\pi\)
\(662\) −1.57109 6.47614i −0.0610623 0.251702i
\(663\) 18.2253 7.63349i 0.707813 0.296460i
\(664\) −4.15067 1.66168i −0.161077 0.0644856i
\(665\) 2.75941 + 1.77337i 0.107005 + 0.0687682i
\(666\) 26.5856 + 1.69088i 1.03017 + 0.0655203i
\(667\) 3.87980 + 1.80055i 0.150226 + 0.0697174i
\(668\) −10.9962 + 19.0460i −0.425456 + 0.736911i
\(669\) −48.8445 3.88435i −1.88844 0.150178i
\(670\) 2.78050 2.18661i 0.107420 0.0844762i
\(671\) 39.7812 55.8649i 1.53574 2.15664i
\(672\) −2.23368 2.49676i −0.0861660 0.0963147i
\(673\) 11.4623 + 16.0966i 0.441840 + 0.620478i 0.974104 0.226101i \(-0.0725979\pi\)
−0.532264 + 0.846579i \(0.678658\pi\)
\(674\) 12.9400 14.9335i 0.498429 0.575218i
\(675\) −17.6822 + 18.5418i −0.680589 + 0.713676i
\(676\) 5.87100 1.72388i 0.225808 0.0663032i
\(677\) 31.0739 5.98901i 1.19427 0.230176i 0.446899 0.894585i \(-0.352528\pi\)
0.747370 + 0.664408i \(0.231316\pi\)
\(678\) −1.21266 + 0.0192125i −0.0465717 + 0.000737851i
\(679\) 3.84060 + 1.97997i 0.147389 + 0.0759842i
\(680\) 0.374013 1.08064i 0.0143427 0.0414406i
\(681\) −16.8322 + 16.5664i −0.645010 + 0.634825i
\(682\) 36.1728 + 28.4466i 1.38513 + 1.08928i
\(683\) 12.3074 14.2034i 0.470928 0.543480i −0.469742 0.882804i \(-0.655653\pi\)
0.940669 + 0.339324i \(0.110198\pi\)
\(684\) −10.2002 16.4414i −0.390016 0.628654i
\(685\) −3.72874 1.09486i −0.142468 0.0418324i
\(686\) 19.7528 + 1.88616i 0.754165 + 0.0720141i
\(687\) 23.8302 2.65708i 0.909179 0.101374i
\(688\) 0.415618 8.72490i 0.0158453 0.332634i
\(689\) −11.3229 19.6119i −0.431369 0.747154i
\(690\) −1.49180 + 1.59538i −0.0567919 + 0.0607349i
\(691\) 25.3842 43.9668i 0.965662 1.67258i 0.257837 0.966188i \(-0.416990\pi\)
0.707825 0.706388i \(-0.249676\pi\)
\(692\) 14.4216 + 9.26823i 0.548229 + 0.352325i
\(693\) −25.4643 12.1226i −0.967307 0.460499i
\(694\) 11.9060 + 26.0704i 0.451944 + 0.989619i
\(695\) −0.549990 + 0.524415i −0.0208623 + 0.0198922i
\(696\) −0.0979366 1.54165i −0.00371228 0.0584361i
\(697\) −26.4490 5.09762i −1.00183 0.193086i
\(698\) 31.2954 12.5288i 1.18455 0.474222i
\(699\) 10.4661 + 2.89386i 0.395866 + 0.109456i
\(700\) 9.36481 1.80492i 0.353957 0.0682195i
\(701\) −42.6300 + 27.3966i −1.61011 + 1.03476i −0.648171 + 0.761495i \(0.724466\pi\)
−0.961940 + 0.273261i \(0.911898\pi\)
\(702\) 6.24497 + 12.1157i 0.235701 + 0.457279i
\(703\) −37.5040 43.2820i −1.41449 1.63241i
\(704\) −1.14588 + 4.72338i −0.0431870 + 0.178019i
\(705\) −0.420585 + 0.501209i −0.0158401 + 0.0188766i
\(706\) −20.3811 3.92814i −0.767054 0.147838i
\(707\) 20.8299 1.98901i 0.783388 0.0748044i
\(708\) 9.20156 1.92512i 0.345816 0.0723503i
\(709\) 21.3566 + 2.03931i 0.802064 + 0.0765878i 0.488033 0.872825i \(-0.337715\pi\)
0.314031 + 0.949413i \(0.398321\pi\)
\(710\) 0.310661 + 2.16069i 0.0116589 + 0.0810893i
\(711\) 22.0765 + 16.2563i 0.827935 + 0.609658i
\(712\) −8.68664 −0.325546
\(713\) −28.2861 + 35.5203i −1.05932 + 1.33025i
\(714\) −0.462614 + 14.5620i −0.0173129 + 0.544969i
\(715\) −0.159518 + 3.34869i −0.00596563 + 0.125234i
\(716\) −18.6691 + 14.6815i −0.697697 + 0.548675i
\(717\) 6.43120 2.69364i 0.240178 0.100596i
\(718\) 17.2354 16.4339i 0.643218 0.613307i
\(719\) 14.7149 32.2212i 0.548774 1.20165i −0.408578 0.912723i \(-0.633975\pi\)
0.957352 0.288924i \(-0.0932975\pi\)
\(720\) 0.763544 + 0.198153i 0.0284556 + 0.00738471i
\(721\) 2.02957 14.1159i 0.0755850 0.525705i
\(722\) −5.32726 + 21.9593i −0.198260 + 0.817239i
\(723\) −16.7878 6.41417i −0.624346 0.238546i
\(724\) −3.82648 1.97269i −0.142210 0.0733144i
\(725\) 3.90880 + 2.01513i 0.145169 + 0.0748400i
\(726\) 3.45406 + 21.5898i 0.128192 + 0.801272i
\(727\) −0.246167 + 1.01472i −0.00912984 + 0.0376337i −0.976194 0.216898i \(-0.930406\pi\)
0.967064 + 0.254532i \(0.0819213\pi\)
\(728\) 0.722066 5.02208i 0.0267615 0.186131i
\(729\) 21.2259 16.6872i 0.786144 0.618043i
\(730\) 0.399415 0.874597i 0.0147830 0.0323703i
\(731\) −27.4925 + 26.2140i −1.01685 + 0.969562i
\(732\) 3.09449 24.2431i 0.114376 0.896050i
\(733\) −1.40972 + 1.10861i −0.0520691 + 0.0409476i −0.643854 0.765148i \(-0.722666\pi\)
0.591785 + 0.806096i \(0.298423\pi\)
\(734\) 0.301024 6.31926i 0.0111110 0.233248i
\(735\) −1.30831 + 0.700933i −0.0482577 + 0.0258543i
\(736\) −4.65366 1.15909i −0.171536 0.0427246i
\(737\) 65.3847 2.40848
\(738\) 2.06039 18.4664i 0.0758439 0.679756i
\(739\) 3.36527 + 23.4060i 0.123794 + 0.861003i 0.953196 + 0.302352i \(0.0977718\pi\)
−0.829403 + 0.558651i \(0.811319\pi\)
\(740\) 2.32433 + 0.221947i 0.0854440 + 0.00815892i
\(741\) 9.14432 27.8401i 0.335925 1.02273i
\(742\) 16.6220 1.58721i 0.610214 0.0582684i
\(743\) 12.2433 + 2.35971i 0.449164 + 0.0865693i 0.408817 0.912616i \(-0.365941\pi\)
0.0403473 + 0.999186i \(0.487154\pi\)
\(744\) 16.1499 + 2.84807i 0.592083 + 0.104415i
\(745\) −0.195993 + 0.807895i −0.00718064 + 0.0295990i
\(746\) 2.54894 + 2.94163i 0.0933233 + 0.107701i
\(747\) −11.7211 + 6.52068i −0.428852 + 0.238579i
\(748\) 17.7820 11.4278i 0.650174 0.417841i
\(749\) −21.8233 + 4.20609i −0.797406 + 0.153687i
\(750\) −3.22350 + 3.17260i −0.117706 + 0.115847i
\(751\) 16.8067 6.72840i 0.613286 0.245523i −0.0441596 0.999024i \(-0.514061\pi\)
0.657446 + 0.753502i \(0.271637\pi\)
\(752\) −1.41067 0.271885i −0.0514420 0.00991463i
\(753\) 29.5410 19.6529i 1.07653 0.716193i
\(754\) 1.69320 1.61447i 0.0616628 0.0587954i
\(755\) 1.61481 + 3.53594i 0.0587689 + 0.128686i
\(756\) −10.0389 + 0.477470i −0.365113 + 0.0173654i
\(757\) −16.6596 10.7065i −0.605503 0.389133i 0.201666 0.979454i \(-0.435365\pi\)
−0.807168 + 0.590322i \(0.799001\pi\)
\(758\) −6.30982 + 10.9289i −0.229183 + 0.396957i
\(759\) −39.9046 + 6.13461i −1.44845 + 0.222672i
\(760\) −0.847936 1.46867i −0.0307579 0.0532742i
\(761\) 0.737759 15.4875i 0.0267437 0.561420i −0.945241 0.326374i \(-0.894173\pi\)
0.971984 0.235046i \(-0.0755240\pi\)
\(762\) −2.99976 4.07439i −0.108670 0.147600i
\(763\) −5.08425 0.485487i −0.184062 0.0175758i
\(764\) −10.2672 3.01473i −0.371455 0.109069i
\(765\) −1.80856 2.91516i −0.0653885 0.105398i
\(766\) −3.51374 + 4.05507i −0.126956 + 0.146516i
\(767\) 11.1914 + 8.80104i 0.404099 + 0.317787i
\(768\) 0.434960 + 1.67655i 0.0156953 + 0.0604972i
\(769\) −17.2999 + 49.9848i −0.623850 + 1.80250i −0.0277098 + 0.999616i \(0.508821\pi\)
−0.596140 + 0.802880i \(0.703300\pi\)
\(770\) −2.19713 1.13270i −0.0791790 0.0408196i
\(771\) 21.8866 + 36.5587i 0.788227 + 1.31663i
\(772\) −7.79249 + 1.50188i −0.280458 + 0.0540538i
\(773\) −6.22715 + 1.82845i −0.223975 + 0.0657650i −0.391794 0.920053i \(-0.628146\pi\)
0.167820 + 0.985818i \(0.446327\pi\)
\(774\) −19.5283 17.4732i −0.701932 0.628063i
\(775\) −30.5725 + 35.2825i −1.09820 + 1.26739i
\(776\) −1.29584 1.81976i −0.0465180 0.0653254i
\(777\) −29.1177 + 6.09189i −1.04459 + 0.218545i
\(778\) −9.03579 + 12.6890i −0.323949 + 0.454923i
\(779\) −31.3997 + 24.6930i −1.12501 + 0.884718i
\(780\) 0.513447 + 1.07873i 0.0183844 + 0.0386249i
\(781\) −20.1749 + 34.9439i −0.721914 + 1.25039i
\(782\) 11.1687 + 17.6143i 0.399392 + 0.629886i
\(783\) −3.77477 2.68842i −0.134899 0.0960763i
\(784\) −2.74161 1.76192i −0.0979145 0.0629259i
\(785\) −1.38521 0.554555i −0.0494403 0.0197929i
\(786\) 1.84986 14.4923i 0.0659823 0.516924i
\(787\) −8.70890 35.8986i −0.310439 1.27965i −0.886687 0.462371i \(-0.846999\pi\)
0.576248 0.817275i \(-0.304516\pi\)
\(788\) −9.94154 + 0.949302i −0.354153 + 0.0338175i
\(789\) −5.92796 + 26.2432i −0.211041 + 0.934282i
\(790\) 1.88887 + 1.48542i 0.0672030 + 0.0528490i
\(791\) 1.29948 0.381562i 0.0462042 0.0135668i
\(792\) 8.82992 + 11.6036i 0.313758 + 0.412315i
\(793\) 31.1382 20.0113i 1.10575 0.710623i
\(794\) −0.970920 20.3821i −0.0344567 0.723334i
\(795\) −3.05167 + 2.47910i −0.108232 + 0.0879246i
\(796\) 10.1494 + 9.67748i 0.359738 + 0.343009i
\(797\) −44.2159 + 17.7014i −1.56621 + 0.627015i −0.982718 0.185107i \(-0.940737\pi\)
−0.583488 + 0.812122i \(0.698313\pi\)
\(798\) 15.8716 + 14.6606i 0.561848 + 0.518979i
\(799\) 3.62410 + 5.08933i 0.128211 + 0.180048i
\(800\) −4.73113 1.38918i −0.167271 0.0491151i
\(801\) −16.4332 + 20.2255i −0.580637 + 0.714633i
\(802\) 1.32381 + 9.20731i 0.0467454 + 0.325121i
\(803\) 15.7968 8.14380i 0.557456 0.287388i
\(804\) 20.5386 11.0037i 0.724341 0.388069i
\(805\) 1.13087 2.16108i 0.0398578 0.0761681i
\(806\) 12.4182 + 21.5090i 0.437413 + 0.757622i
\(807\) −0.0421731 0.0886041i −0.00148456 0.00311901i
\(808\) −10.0434 4.02077i −0.353326 0.141450i
\(809\) −0.949249 2.07857i −0.0333738 0.0730785i 0.892211 0.451619i \(-0.149153\pi\)
−0.925585 + 0.378541i \(0.876426\pi\)
\(810\) 1.90582 1.40294i 0.0669637 0.0492942i
\(811\) −15.1869 + 33.2546i −0.533283 + 1.16773i 0.430878 + 0.902410i \(0.358204\pi\)
−0.964161 + 0.265317i \(0.914523\pi\)
\(812\) 0.564201 + 1.63015i 0.0197996 + 0.0572072i
\(813\) 9.08881 10.8311i 0.318758 0.379862i
\(814\) 31.2358 + 29.7832i 1.09481 + 1.04390i
\(815\) −1.65991 + 4.79601i −0.0581443 + 0.167997i
\(816\) 3.66247 6.58224i 0.128212 0.230425i
\(817\) 2.68054 + 56.2714i 0.0937801 + 1.96869i
\(818\) −7.46413 8.61406i −0.260977 0.301184i
\(819\) −10.3272 11.1819i −0.360860 0.390726i
\(820\) 0.231773 1.61202i 0.00809387 0.0562941i
\(821\) −1.74078 5.02966i −0.0607537 0.175536i 0.910539 0.413422i \(-0.135667\pi\)
−0.971293 + 0.237886i \(0.923546\pi\)
\(822\) −22.9358 11.3680i −0.799980 0.396505i
\(823\) −3.68582 15.1932i −0.128480 0.529600i −0.999279 0.0379619i \(-0.987913\pi\)
0.870800 0.491638i \(-0.163602\pi\)
\(824\) −4.27688 + 6.00604i −0.148992 + 0.209230i
\(825\) −41.2545 + 4.59989i −1.43630 + 0.160148i
\(826\) −9.33086 + 4.81039i −0.324662 + 0.167375i
\(827\) −10.7162 −0.372640 −0.186320 0.982489i \(-0.559656\pi\)
−0.186320 + 0.982489i \(0.559656\pi\)
\(828\) −11.5024 + 8.64259i −0.399737 + 0.300351i
\(829\) −0.347806 −0.0120798 −0.00603991 0.999982i \(-0.501923\pi\)
−0.00603991 + 0.999982i \(0.501923\pi\)
\(830\) −1.04493 + 0.538697i −0.0362699 + 0.0186984i
\(831\) −7.29546 9.90899i −0.253077 0.343739i
\(832\) −1.52160 + 2.13679i −0.0527520 + 0.0740799i
\(833\) 3.34140 + 13.7735i 0.115773 + 0.477222i
\(834\) −4.16772 + 2.77269i −0.144316 + 0.0960104i
\(835\) 1.89137 + 5.46476i 0.0654536 + 0.189116i
\(836\) 4.46116 31.0281i 0.154293 1.07313i
\(837\) 37.1832 32.2146i 1.28524 1.11350i
\(838\) 9.06399 + 10.4604i 0.313110 + 0.361349i
\(839\) 0.566638 + 11.8952i 0.0195625 + 0.410668i 0.987316 + 0.158768i \(0.0507523\pi\)
−0.967753 + 0.251900i \(0.918945\pi\)
\(840\) −0.880783 + 0.0139545i −0.0303899 + 0.000481477i
\(841\) 9.22481 26.6533i 0.318097 0.919081i
\(842\) −13.7334 13.0948i −0.473284 0.451276i
\(843\) −6.93232 19.0479i −0.238762 0.656043i
\(844\) −4.59191 13.2675i −0.158060 0.456685i
\(845\) 0.668373 1.46353i 0.0229927 0.0503471i
\(846\) −3.30172 + 2.77019i −0.113515 + 0.0952411i
\(847\) −10.1427 22.2094i −0.348508 0.763126i
\(848\) −8.01454 3.20854i −0.275221 0.110182i
\(849\) −3.26858 + 4.74748i −0.112177 + 0.162933i
\(850\) 10.7220 + 18.5710i 0.367761 + 0.636981i
\(851\) −29.5752 + 30.6409i −1.01383 + 1.05036i
\(852\) −0.456572 + 14.3718i −0.0156419 + 0.492370i
\(853\) −0.617975 + 0.318588i −0.0211590 + 0.0109082i −0.468774 0.883318i \(-0.655304\pi\)
0.447615 + 0.894227i \(0.352274\pi\)
\(854\) 3.88404 + 27.0141i 0.132909 + 0.924402i
\(855\) −5.02367 0.804098i −0.171806 0.0274996i
\(856\) 11.0252 + 3.23728i 0.376833 + 0.110648i
\(857\) 1.17464 + 1.64955i 0.0401250 + 0.0563476i 0.834151 0.551536i \(-0.185958\pi\)
−0.794026 + 0.607884i \(0.792019\pi\)
\(858\) −4.86569 + 21.5405i −0.166112 + 0.735380i
\(859\) 27.2526 10.9103i 0.929845 0.372254i 0.143224 0.989690i \(-0.454253\pi\)
0.786621 + 0.617436i \(0.211829\pi\)
\(860\) −1.66226 1.58496i −0.0566825 0.0540466i
\(861\) 3.27791 + 20.4888i 0.111711 + 0.698255i
\(862\) 0.494857 + 10.3883i 0.0168549 + 0.353828i
\(863\) −30.3502 + 19.5049i −1.03313 + 0.663953i −0.943279 0.332002i \(-0.892276\pi\)
−0.0898527 + 0.995955i \(0.528640\pi\)
\(864\) 4.72643 + 2.15891i 0.160796 + 0.0734476i
\(865\) 4.32510 1.26996i 0.147058 0.0431800i
\(866\) −1.16997 0.920075i −0.0397572 0.0312654i
\(867\) −3.16434 + 0.983846i −0.107467 + 0.0334132i
\(868\) −18.2299 + 1.74075i −0.618763 + 0.0590847i
\(869\) 10.4718 + 43.1655i 0.355233 + 1.46429i
\(870\) −0.323222 0.245999i −0.0109583 0.00834015i
\(871\) 32.7609 + 13.1155i 1.11006 + 0.444401i
\(872\) 2.22141 + 1.42761i 0.0752264 + 0.0483451i
\(873\) −6.68846 0.425395i −0.226370 0.0143974i
\(874\) 30.5885 + 4.58871i 1.03467 + 0.155215i
\(875\) 2.52534 4.37401i 0.0853720 0.147869i
\(876\) 3.59154 5.21658i 0.121347 0.176252i
\(877\) −12.4119 + 9.76083i −0.419120 + 0.329600i −0.805347 0.592804i \(-0.798021\pi\)
0.386226 + 0.922404i \(0.373778\pi\)
\(878\) −20.2473 + 28.4334i −0.683314 + 0.959580i
\(879\) −7.23343 + 22.0223i −0.243977 + 0.742794i
\(880\) 0.741324 + 1.04104i 0.0249900 + 0.0350936i
\(881\) 8.77096 10.1222i 0.295501 0.341027i −0.588512 0.808488i \(-0.700286\pi\)
0.884013 + 0.467462i \(0.154832\pi\)
\(882\) −9.28887 + 3.05025i −0.312772 + 0.102707i
\(883\) 12.7583 3.74617i 0.429350 0.126069i −0.0599155 0.998203i \(-0.519083\pi\)
0.489265 + 0.872135i \(0.337265\pi\)
\(884\) 11.2019 2.15899i 0.376762 0.0726148i
\(885\) 1.20188 2.16004i 0.0404008 0.0726089i
\(886\) 3.24244 + 1.67159i 0.108932 + 0.0561582i
\(887\) 17.9269 51.7965i 0.601928 1.73916i −0.0689821 0.997618i \(-0.521975\pi\)
0.670910 0.741539i \(-0.265904\pi\)
\(888\) 14.8240 + 4.09879i 0.497461 + 0.137547i
\(889\) 4.44121 + 3.49260i 0.148953 + 0.117138i
\(890\) −1.49578 + 1.72622i −0.0501386 + 0.0578630i
\(891\) 43.7213 + 1.39220i 1.46472 + 0.0466405i
\(892\) −27.1435 7.97005i −0.908832 0.266857i
\(893\) 9.22364 + 0.880751i 0.308657 + 0.0294732i
\(894\) −2.19564 + 5.01660i −0.0734331 + 0.167780i
\(895\) −0.297153 + 6.23800i −0.00993271 + 0.208513i
\(896\) −0.967089 1.67505i −0.0323082 0.0559594i
\(897\) −21.2247 4.93071i −0.708671 0.164632i
\(898\) 20.3240 35.2023i 0.678222 1.17472i
\(899\) −7.10372 4.56528i −0.236922 0.152261i
\(900\) −12.1847 + 8.38768i −0.406157 + 0.279589i
\(901\) 15.5964 + 34.1513i 0.519590 + 1.13774i
\(902\) 21.7869 20.7738i 0.725426 0.691692i
\(903\) 26.2186 + 12.9951i 0.872501 + 0.432450i
\(904\) −0.687561 0.132517i −0.0228679 0.00440743i
\(905\) −1.05091 + 0.420720i −0.0349334 + 0.0139852i
\(906\) 6.43016 + 24.7850i 0.213628 + 0.823425i
\(907\) −43.8819 + 8.45755i −1.45708 + 0.280828i −0.855423 0.517930i \(-0.826703\pi\)
−0.601652 + 0.798758i \(0.705491\pi\)
\(908\) −11.4708 + 7.37181i −0.380671 + 0.244642i
\(909\) −28.3616 + 15.7781i −0.940695 + 0.523328i
\(910\) −0.873659 1.00826i −0.0289615 0.0334234i
\(911\) −12.4022 + 51.1227i −0.410904 + 1.69377i 0.271207 + 0.962521i \(0.412577\pi\)
−0.682111 + 0.731248i \(0.738938\pi\)
\(912\) −3.82041 10.4973i −0.126506 0.347600i
\(913\) −21.3378 4.11252i −0.706177 0.136104i
\(914\) −30.9956 + 2.95972i −1.02524 + 0.0978989i
\(915\) −4.28476 4.78943i −0.141650 0.158334i
\(916\) 13.7809 + 1.31592i 0.455335 + 0.0434793i
\(917\) 2.32184 + 16.1488i 0.0766741 + 0.533280i
\(918\) −8.39717 20.9796i −0.277148 0.692430i
\(919\) 27.8557 0.918876 0.459438 0.888210i \(-0.348051\pi\)
0.459438 + 0.888210i \(0.348051\pi\)
\(920\) −1.03166 + 0.725193i −0.0340129 + 0.0239089i
\(921\) −19.8053 12.2892i −0.652607 0.404942i
\(922\) 0.0358988 0.753609i 0.00118226 0.0248188i
\(923\) −17.1180 + 13.4617i −0.563444 + 0.443097i
\(924\) −12.9570 9.86132i −0.426253 0.324414i
\(925\) −31.6887 + 30.2151i −1.04192 + 0.993466i
\(926\) −0.456934 + 1.00055i −0.0150158 + 0.0328800i
\(927\) 5.89325 + 21.3201i 0.193560 + 0.700244i
\(928\) 0.126926 0.882788i 0.00416654 0.0289789i
\(929\) 10.0964 41.6180i 0.331253 1.36544i −0.525973 0.850502i \(-0.676299\pi\)
0.857225 0.514941i \(-0.172186\pi\)
\(930\) 3.34687 2.71891i 0.109748 0.0891564i
\(931\) 18.6821 + 9.63131i 0.612282 + 0.315653i
\(932\) 5.57243 + 2.87279i 0.182531 + 0.0941013i
\(933\) 11.3024 9.18179i 0.370025 0.300598i
\(934\) −3.33756 + 13.7576i −0.109208 + 0.450163i
\(935\) 0.790988 5.50144i 0.0258681 0.179916i
\(936\) 2.09666 + 7.58513i 0.0685316 + 0.247928i
\(937\) 23.6338 51.7509i 0.772084 1.69063i 0.0500738 0.998746i \(-0.484054\pi\)
0.722010 0.691882i \(-0.243218\pi\)
\(938\) −18.8313 + 17.9556i −0.614865 + 0.586272i
\(939\) −22.8816 17.4148i −0.746712 0.568310i
\(940\) −0.296937 + 0.233514i −0.00968503 + 0.00761639i
\(941\) 0.674425 14.1579i 0.0219856 0.461535i −0.960852 0.277062i \(-0.910639\pi\)
0.982838 0.184473i \(-0.0590578\pi\)
\(942\) −8.35146 5.18208i −0.272105 0.168841i
\(943\) 20.3663 + 21.6223i 0.663218 + 0.704119i
\(944\) 5.42755 0.176652
\(945\) −1.63375 + 2.07717i −0.0531459 + 0.0675702i
\(946\) −6.04191 42.0224i −0.196439 1.36627i
\(947\) −58.7825 5.61304i −1.91017 0.182399i −0.928286 0.371867i \(-0.878718\pi\)
−0.981887 + 0.189467i \(0.939324\pi\)
\(948\) 10.5538 + 11.7968i 0.342771 + 0.383142i
\(949\) 9.54850 0.911771i 0.309957 0.0295973i
\(950\) 31.2269 + 6.01850i 1.01314 + 0.195266i
\(951\) 8.75245 + 24.0490i 0.283818 + 0.779842i
\(952\) −1.98311 + 8.17450i −0.0642730 + 0.264937i
\(953\) 15.8791 + 18.3255i 0.514375 + 0.593621i 0.952214 0.305433i \(-0.0988012\pi\)
−0.437838 + 0.899054i \(0.644256\pi\)
\(954\) −22.6323 + 12.5908i −0.732747 + 0.407642i
\(955\) −2.36704 + 1.52120i −0.0765955 + 0.0492249i
\(956\) 3.95284 0.761847i 0.127844 0.0246399i
\(957\) −1.88547 7.26752i −0.0609486 0.234926i
\(958\) −7.92086 + 3.17104i −0.255911 + 0.102451i
\(959\) 28.0693 + 5.40991i 0.906404 + 0.174695i
\(960\) 0.408062 + 0.202254i 0.0131702 + 0.00652771i
\(961\) 42.4422 40.4685i 1.36910 1.30544i
\(962\) 9.67642 + 21.1884i 0.311980 + 0.683141i
\(963\) 28.3946 19.5462i 0.915005 0.629868i
\(964\) −8.72869 5.60959i −0.281132 0.180673i
\(965\) −1.04336 + 1.80715i −0.0335868 + 0.0581741i
\(966\) 9.80820 12.7252i 0.315574 0.409427i
\(967\) −4.15529 7.19718i −0.133625 0.231446i 0.791446 0.611239i \(-0.209328\pi\)
−0.925071 + 0.379793i \(0.875995\pi\)
\(968\) −0.600644 + 12.6091i −0.0193054 + 0.405271i
\(969\) −19.4789 + 44.5054i −0.625751 + 1.42972i
\(970\) −0.584759 0.0558377i −0.0187755 0.00179284i
\(971\) 27.0204 + 7.93389i 0.867125 + 0.254611i 0.684892 0.728645i \(-0.259849\pi\)
0.182233 + 0.983255i \(0.441668\pi\)
\(972\) 13.9680 6.92059i 0.448024 0.221978i
\(973\) 3.66063 4.22459i 0.117354 0.135434i
\(974\) 11.6629 + 9.17179i 0.373703 + 0.293883i
\(975\) −21.5932 5.97044i −0.691535 0.191207i
\(976\) 4.61503 13.3343i 0.147724 0.426819i
\(977\) −11.0776 5.71088i −0.354402 0.182707i 0.271827 0.962346i \(-0.412372\pi\)
−0.626229 + 0.779639i \(0.715403\pi\)
\(978\) −16.2545 + 29.2128i −0.519761 + 0.934121i
\(979\) −41.4575 + 7.99028i −1.32499 + 0.255370i
\(980\) −0.822217 + 0.241425i −0.0262648 + 0.00771203i
\(981\) 7.52638 2.47149i 0.240299 0.0789086i
\(982\) 15.1613 17.4970i 0.483815 0.558353i
\(983\) 22.4620 + 31.5435i 0.716427 + 1.00608i 0.998904 + 0.0468065i \(0.0149044\pi\)
−0.282477 + 0.959274i \(0.591156\pi\)
\(984\) 3.34766 10.1920i 0.106719 0.324909i
\(985\) −1.52322 + 2.13906i −0.0485337 + 0.0681560i
\(986\) −3.04884 + 2.39763i −0.0970947 + 0.0763561i
\(987\) 2.72928 3.96418i 0.0868739 0.126181i
\(988\) 8.45916 14.6517i 0.269122 0.466132i
\(989\) 41.4998 5.70844i 1.31962 0.181518i
\(990\) 3.82633 + 0.243359i 0.121609 + 0.00773447i
\(991\) −6.26035 4.02328i −0.198867 0.127804i 0.437418 0.899258i \(-0.355893\pi\)
−0.636284 + 0.771455i \(0.719529\pi\)
\(992\) 8.78980 + 3.51891i 0.279077 + 0.111725i
\(993\) −9.18479 6.99039i −0.291471 0.221833i
\(994\) −3.78560 15.6044i −0.120072 0.494943i
\(995\) 3.67078 0.350517i 0.116372 0.0111121i
\(996\) −7.39470 + 2.29913i −0.234310 + 0.0728508i
\(997\) −42.5906 33.4936i −1.34886 1.06075i −0.991952 0.126613i \(-0.959590\pi\)
−0.356905 0.934141i \(-0.616168\pi\)
\(998\) 39.4429 11.5815i 1.24854 0.366606i
\(999\) 37.5871 26.7615i 1.18920 0.846695i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 414.2.m.a.25.7 240
9.4 even 3 inner 414.2.m.a.301.4 yes 240
23.12 even 11 inner 414.2.m.a.403.4 yes 240
207.58 even 33 inner 414.2.m.a.265.7 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
414.2.m.a.25.7 240 1.1 even 1 trivial
414.2.m.a.265.7 yes 240 207.58 even 33 inner
414.2.m.a.301.4 yes 240 9.4 even 3 inner
414.2.m.a.403.4 yes 240 23.12 even 11 inner