Properties

Label 169.2.k.a.4.8
Level $169$
Weight $2$
Character 169.4
Analytic conductor $1.349$
Analytic rank $0$
Dimension $360$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [169,2,Mod(4,169)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(169, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("169.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 169 = 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 169.k (of order \(78\), degree \(24\), 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: \(1.34947179416\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 169.4
Dual form 169.2.k.a.127.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0643979 - 0.00259515i) q^{2} +(-0.109583 + 0.378323i) q^{3} +(-1.98937 - 0.160599i) q^{4} +(1.64339 + 0.623256i) q^{5} +(0.00803870 - 0.0240788i) q^{6} +(0.909238 + 2.13406i) q^{7} +(0.255655 + 0.0310422i) q^{8} +(2.40445 + 1.52048i) q^{9} +O(q^{10})\) \(q+(-0.0643979 - 0.00259515i) q^{2} +(-0.109583 + 0.378323i) q^{3} +(-1.98937 - 0.160599i) q^{4} +(1.64339 + 0.623256i) q^{5} +(0.00803870 - 0.0240788i) q^{6} +(0.909238 + 2.13406i) q^{7} +(0.255655 + 0.0310422i) q^{8} +(2.40445 + 1.52048i) q^{9} +(-0.104214 - 0.0444013i) q^{10} +(2.07251 + 3.27741i) q^{11} +(0.278759 - 0.735027i) q^{12} +(-0.510357 - 3.56925i) q^{13} +(-0.0530148 - 0.139789i) q^{14} +(-0.415879 + 0.553435i) q^{15} +(3.92362 + 0.637650i) q^{16} +(-3.54065 + 1.50853i) q^{17} +(-0.150896 - 0.104156i) q^{18} +(-2.16329 + 1.24898i) q^{19} +(-3.16923 - 1.50382i) q^{20} +(-0.907001 + 0.110130i) q^{21} +(-0.124960 - 0.216437i) q^{22} +(2.31285 - 4.00597i) q^{23} +(-0.0397594 + 0.0933186i) q^{24} +(-1.43027 - 1.26711i) q^{25} +(0.0236032 + 0.231177i) q^{26} +(-1.72318 + 1.52660i) q^{27} +(-1.46609 - 4.39147i) q^{28} +(0.255119 - 6.33072i) q^{29} +(0.0282180 - 0.0345608i) q^{30} +(1.41086 + 1.59253i) q^{31} +(-0.755675 - 0.154272i) q^{32} +(-1.46703 + 0.424931i) q^{33} +(0.231925 - 0.0879576i) q^{34} +(0.164168 + 4.07378i) q^{35} +(-4.53916 - 3.41096i) q^{36} +(2.72433 - 0.556176i) q^{37} +(0.142553 - 0.0748174i) q^{38} +(1.40626 + 0.198048i) q^{39} +(0.400795 + 0.210353i) q^{40} +(-7.52023 - 2.17826i) q^{41} +(0.0586948 - 0.00473833i) q^{42} +(-0.869856 + 4.26084i) q^{43} +(-3.59665 - 6.85284i) q^{44} +(3.00380 + 3.99734i) q^{45} +(-0.159339 + 0.251974i) q^{46} +(7.45904 - 5.14860i) q^{47} +(-0.671198 + 1.41452i) q^{48} +(1.12157 - 1.16768i) q^{49} +(0.0888179 + 0.0853107i) q^{50} +(-0.182718 - 1.50482i) q^{51} +(0.442073 + 7.18253i) q^{52} +(0.499586 - 4.11446i) q^{53} +(0.114931 - 0.0938380i) q^{54} +(1.36328 + 6.67777i) q^{55} +(0.166206 + 0.573809i) q^{56} +(-0.235457 - 0.955288i) q^{57} +(-0.0328583 + 0.407023i) q^{58} +(-1.18411 - 7.28612i) q^{59} +(0.916221 - 1.03420i) q^{60} +(-10.8564 + 8.15803i) q^{61} +(-0.0867234 - 0.106217i) q^{62} +(-1.05858 + 6.51372i) q^{63} +(-7.67091 - 1.89071i) q^{64} +(1.38584 - 6.18376i) q^{65} +(0.0955765 - 0.0235575i) q^{66} +(-0.141189 - 1.74894i) q^{67} +(7.28594 - 2.43240i) q^{68} +(1.26210 + 1.31399i) q^{69} -0.262769i q^{70} +(-0.715930 + 0.687660i) q^{71} +(0.567512 + 0.463359i) q^{72} +(4.60585 - 8.77572i) q^{73} +(-0.176885 + 0.0287466i) q^{74} +(0.636108 - 0.402250i) q^{75} +(4.50417 - 2.13726i) q^{76} +(-5.10979 + 7.40281i) q^{77} +(-0.0900460 - 0.0164033i) q^{78} +(9.70036 + 14.0534i) q^{79} +(6.05062 + 3.49333i) q^{80} +(3.27000 + 6.89137i) q^{81} +(0.478634 + 0.159792i) q^{82} +(2.13474 - 8.66098i) q^{83} +(1.82205 - 0.0734261i) q^{84} +(-6.75887 + 0.272373i) q^{85} +(0.0670744 - 0.272132i) q^{86} +(2.36710 + 0.790254i) q^{87} +(0.428110 + 0.902223i) q^{88} +(-0.0163946 - 0.00946540i) q^{89} +(-0.183065 - 0.265215i) q^{90} +(7.15295 - 4.33443i) q^{91} +(-5.24447 + 7.59793i) q^{92} +(-0.757095 + 0.359246i) q^{93} +(-0.493708 + 0.312202i) q^{94} +(-4.33356 + 0.704272i) q^{95} +(0.141174 - 0.268984i) q^{96} +(15.1179 + 12.3434i) q^{97} +(-0.0752573 + 0.0722856i) q^{98} +11.0316i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9} - 27 q^{10} - 26 q^{11} - 14 q^{12} - 34 q^{13} - 30 q^{14} - 84 q^{15} - 13 q^{16} - 31 q^{17} + 52 q^{18} - 33 q^{19} - 29 q^{20} - 26 q^{21} - 33 q^{22} + 57 q^{23} + 58 q^{24} + 2 q^{25} - 29 q^{26} - 30 q^{27} - 26 q^{28} - 19 q^{29} + 178 q^{30} - 78 q^{31} - 30 q^{32} - 26 q^{33} - 91 q^{34} - 18 q^{35} - 51 q^{36} - 41 q^{37} + 25 q^{38} + 12 q^{39} - 134 q^{40} - 17 q^{41} + 250 q^{42} - 28 q^{43} + 42 q^{45} + 18 q^{46} + 117 q^{47} - 57 q^{48} - 117 q^{49} - 20 q^{50} - 59 q^{51} + 37 q^{52} - 75 q^{53} + 118 q^{54} + 64 q^{55} - 42 q^{56} - 104 q^{57} - 87 q^{58} + 170 q^{59} + 78 q^{60} - 15 q^{61} + 19 q^{62} + 39 q^{63} + 32 q^{64} - 17 q^{65} + 73 q^{66} + 20 q^{67} - 76 q^{68} - 11 q^{69} + 46 q^{71} - 198 q^{72} - 26 q^{73} + 29 q^{74} - 70 q^{75} + 58 q^{76} + 6 q^{77} + 128 q^{78} - 54 q^{79} - 24 q^{80} - 7 q^{81} + 81 q^{82} + 234 q^{83} - 273 q^{84} - 74 q^{85} + 52 q^{86} - 112 q^{87} + 256 q^{88} - 27 q^{89} + 28 q^{90} - 78 q^{91} - 34 q^{92} + 51 q^{93} + 28 q^{94} - 11 q^{95} + 143 q^{96} + 40 q^{97} - 47 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0643979 0.00259515i −0.0455362 0.00183505i 0.0174874 0.999847i \(-0.494433\pi\)
−0.0630236 + 0.998012i \(0.520074\pi\)
\(3\) −0.109583 + 0.378323i −0.0632675 + 0.218425i −0.985923 0.167201i \(-0.946527\pi\)
0.922655 + 0.385626i \(0.126014\pi\)
\(4\) −1.98937 0.160599i −0.994687 0.0802994i
\(5\) 1.64339 + 0.623256i 0.734947 + 0.278729i 0.693544 0.720414i \(-0.256048\pi\)
0.0414026 + 0.999143i \(0.486817\pi\)
\(6\) 0.00803870 0.0240788i 0.00328178 0.00983015i
\(7\) 0.909238 + 2.13406i 0.343660 + 0.806599i 0.998698 + 0.0510036i \(0.0162420\pi\)
−0.655039 + 0.755595i \(0.727348\pi\)
\(8\) 0.255655 + 0.0310422i 0.0903878 + 0.0109751i
\(9\) 2.40445 + 1.52048i 0.801483 + 0.506827i
\(10\) −0.104214 0.0444013i −0.0329552 0.0140409i
\(11\) 2.07251 + 3.27741i 0.624885 + 0.988177i 0.998171 + 0.0604602i \(0.0192568\pi\)
−0.373286 + 0.927717i \(0.621769\pi\)
\(12\) 0.278759 0.735027i 0.0804708 0.212184i
\(13\) −0.510357 3.56925i −0.141547 0.989931i
\(14\) −0.0530148 0.139789i −0.0141688 0.0373601i
\(15\) −0.415879 + 0.553435i −0.107380 + 0.142896i
\(16\) 3.92362 + 0.637650i 0.980904 + 0.159412i
\(17\) −3.54065 + 1.50853i −0.858733 + 0.365872i −0.776025 0.630702i \(-0.782767\pi\)
−0.0827077 + 0.996574i \(0.526357\pi\)
\(18\) −0.150896 0.104156i −0.0355665 0.0245498i
\(19\) −2.16329 + 1.24898i −0.496292 + 0.286535i −0.727181 0.686446i \(-0.759170\pi\)
0.230889 + 0.972980i \(0.425837\pi\)
\(20\) −3.16923 1.50382i −0.708661 0.336264i
\(21\) −0.907001 + 0.110130i −0.197924 + 0.0240323i
\(22\) −0.124960 0.216437i −0.0266416 0.0461445i
\(23\) 2.31285 4.00597i 0.482262 0.835302i −0.517531 0.855665i \(-0.673149\pi\)
0.999793 + 0.0203626i \(0.00648206\pi\)
\(24\) −0.0397594 + 0.0933186i −0.00811585 + 0.0190486i
\(25\) −1.43027 1.26711i −0.286053 0.253421i
\(26\) 0.0236032 + 0.231177i 0.00462896 + 0.0453375i
\(27\) −1.72318 + 1.52660i −0.331625 + 0.293794i
\(28\) −1.46609 4.39147i −0.277064 0.829909i
\(29\) 0.255119 6.33072i 0.0473744 1.17558i −0.784322 0.620354i \(-0.786989\pi\)
0.831696 0.555231i \(-0.187370\pi\)
\(30\) 0.0282180 0.0345608i 0.00515188 0.00630991i
\(31\) 1.41086 + 1.59253i 0.253397 + 0.286026i 0.861420 0.507893i \(-0.169576\pi\)
−0.608023 + 0.793920i \(0.708037\pi\)
\(32\) −0.755675 0.154272i −0.133586 0.0272717i
\(33\) −1.46703 + 0.424931i −0.255377 + 0.0739710i
\(34\) 0.231925 0.0879576i 0.0397748 0.0150846i
\(35\) 0.164168 + 4.07378i 0.0277494 + 0.688595i
\(36\) −4.53916 3.41096i −0.756527 0.568493i
\(37\) 2.72433 0.556176i 0.447877 0.0914348i 0.0292076 0.999573i \(-0.490702\pi\)
0.418670 + 0.908139i \(0.362496\pi\)
\(38\) 0.142553 0.0748174i 0.0231251 0.0121370i
\(39\) 1.40626 + 0.198048i 0.225181 + 0.0317131i
\(40\) 0.400795 + 0.210353i 0.0633712 + 0.0332598i
\(41\) −7.52023 2.17826i −1.17446 0.340187i −0.367065 0.930195i \(-0.619637\pi\)
−0.807398 + 0.590008i \(0.799125\pi\)
\(42\) 0.0586948 0.00473833i 0.00905680 0.000731140i
\(43\) −0.869856 + 4.26084i −0.132652 + 0.649772i 0.858033 + 0.513595i \(0.171687\pi\)
−0.990685 + 0.136177i \(0.956519\pi\)
\(44\) −3.59665 6.85284i −0.542215 1.03310i
\(45\) 3.00380 + 3.99734i 0.447781 + 0.595888i
\(46\) −0.159339 + 0.251974i −0.0234932 + 0.0371515i
\(47\) 7.45904 5.14860i 1.08801 0.751001i 0.117747 0.993044i \(-0.462433\pi\)
0.970265 + 0.242043i \(0.0778175\pi\)
\(48\) −0.671198 + 1.41452i −0.0968791 + 0.204168i
\(49\) 1.12157 1.16768i 0.160225 0.166812i
\(50\) 0.0888179 + 0.0853107i 0.0125607 + 0.0120648i
\(51\) −0.182718 1.50482i −0.0255856 0.210716i
\(52\) 0.442073 + 7.18253i 0.0613045 + 0.996038i
\(53\) 0.499586 4.11446i 0.0686234 0.565165i −0.917328 0.398132i \(-0.869658\pi\)
0.985951 0.167032i \(-0.0534185\pi\)
\(54\) 0.114931 0.0938380i 0.0156401 0.0127697i
\(55\) 1.36328 + 6.67777i 0.183824 + 0.900431i
\(56\) 0.166206 + 0.573809i 0.0222102 + 0.0766784i
\(57\) −0.235457 0.955288i −0.0311871 0.126531i
\(58\) −0.0328583 + 0.407023i −0.00431451 + 0.0534447i
\(59\) −1.18411 7.28612i −0.154158 0.948572i −0.942712 0.333607i \(-0.891734\pi\)
0.788554 0.614965i \(-0.210830\pi\)
\(60\) 0.916221 1.03420i 0.118284 0.133515i
\(61\) −10.8564 + 8.15803i −1.39002 + 1.04453i −0.398139 + 0.917325i \(0.630344\pi\)
−0.991877 + 0.127203i \(0.959400\pi\)
\(62\) −0.0867234 0.106217i −0.0110139 0.0134896i
\(63\) −1.05858 + 6.51372i −0.133369 + 0.820652i
\(64\) −7.67091 1.89071i −0.958863 0.236339i
\(65\) 1.38584 6.18376i 0.171892 0.767000i
\(66\) 0.0955765 0.0235575i 0.0117647 0.00289973i
\(67\) −0.141189 1.74894i −0.0172489 0.213666i −0.999640 0.0268302i \(-0.991459\pi\)
0.982391 0.186836i \(-0.0598234\pi\)
\(68\) 7.28594 2.43240i 0.883550 0.294972i
\(69\) 1.26210 + 1.31399i 0.151939 + 0.158186i
\(70\) 0.262769i 0.0314069i
\(71\) −0.715930 + 0.687660i −0.0849652 + 0.0816102i −0.734004 0.679145i \(-0.762351\pi\)
0.649039 + 0.760755i \(0.275171\pi\)
\(72\) 0.567512 + 0.463359i 0.0668819 + 0.0546074i
\(73\) 4.60585 8.77572i 0.539074 1.02712i −0.451773 0.892133i \(-0.649208\pi\)
0.990847 0.134987i \(-0.0430993\pi\)
\(74\) −0.176885 + 0.0287466i −0.0205624 + 0.00334172i
\(75\) 0.636108 0.402250i 0.0734514 0.0464478i
\(76\) 4.50417 2.13726i 0.516664 0.245160i
\(77\) −5.10979 + 7.40281i −0.582314 + 0.843628i
\(78\) −0.0900460 0.0164033i −0.0101957 0.00185731i
\(79\) 9.70036 + 14.0534i 1.09138 + 1.58113i 0.774398 + 0.632699i \(0.218053\pi\)
0.316978 + 0.948433i \(0.397332\pi\)
\(80\) 6.05062 + 3.49333i 0.676480 + 0.390566i
\(81\) 3.27000 + 6.89137i 0.363333 + 0.765708i
\(82\) 0.478634 + 0.159792i 0.0528563 + 0.0176460i
\(83\) 2.13474 8.66098i 0.234318 0.950666i −0.729473 0.684009i \(-0.760235\pi\)
0.963792 0.266657i \(-0.0859190\pi\)
\(84\) 1.82205 0.0734261i 0.198802 0.00801145i
\(85\) −6.75887 + 0.272373i −0.733102 + 0.0295430i
\(86\) 0.0670744 0.272132i 0.00723282 0.0293447i
\(87\) 2.36710 + 0.790254i 0.253780 + 0.0847241i
\(88\) 0.428110 + 0.902223i 0.0456367 + 0.0961773i
\(89\) −0.0163946 0.00946540i −0.00173782 0.00100333i 0.499131 0.866527i \(-0.333653\pi\)
−0.500869 + 0.865523i \(0.666986\pi\)
\(90\) −0.183065 0.265215i −0.0192967 0.0279562i
\(91\) 7.15295 4.33443i 0.749833 0.454371i
\(92\) −5.24447 + 7.59793i −0.546774 + 0.792139i
\(93\) −0.757095 + 0.359246i −0.0785071 + 0.0372521i
\(94\) −0.493708 + 0.312202i −0.0509221 + 0.0322012i
\(95\) −4.33356 + 0.704272i −0.444614 + 0.0722568i
\(96\) 0.141174 0.268984i 0.0144085 0.0274530i
\(97\) 15.1179 + 12.3434i 1.53499 + 1.25328i 0.852990 + 0.521927i \(0.174787\pi\)
0.681999 + 0.731353i \(0.261111\pi\)
\(98\) −0.0752573 + 0.0722856i −0.00760213 + 0.00730195i
\(99\) 11.0316i 1.10872i
\(100\) 2.64184 + 2.75045i 0.264184 + 0.275045i
\(101\) 3.13549 1.04678i 0.311992 0.104158i −0.156360 0.987700i \(-0.549976\pi\)
0.468352 + 0.883542i \(0.344848\pi\)
\(102\) 0.00786143 + 0.0973813i 0.000778397 + 0.00964218i
\(103\) −9.18479 + 2.26385i −0.905004 + 0.223063i −0.664239 0.747520i \(-0.731244\pi\)
−0.240765 + 0.970584i \(0.577398\pi\)
\(104\) −0.0196781 0.928340i −0.00192960 0.0910312i
\(105\) −1.55920 0.384307i −0.152162 0.0375046i
\(106\) −0.0428500 + 0.263666i −0.00416196 + 0.0256095i
\(107\) 1.18266 + 1.44850i 0.114332 + 0.140032i 0.828600 0.559841i \(-0.189138\pi\)
−0.714268 + 0.699872i \(0.753240\pi\)
\(108\) 3.67321 2.76024i 0.353455 0.265604i
\(109\) 6.09565 6.88057i 0.583858 0.659039i −0.380147 0.924926i \(-0.624126\pi\)
0.964004 + 0.265887i \(0.0856649\pi\)
\(110\) −0.0704624 0.433573i −0.00671833 0.0413395i
\(111\) −0.0881250 + 1.09162i −0.00836446 + 0.103612i
\(112\) 2.20672 + 8.95301i 0.208515 + 0.845980i
\(113\) −5.35397 18.4841i −0.503659 1.73883i −0.660130 0.751151i \(-0.729499\pi\)
0.156471 0.987683i \(-0.449988\pi\)
\(114\) 0.0126839 + 0.0621296i 0.00118795 + 0.00581897i
\(115\) 6.29766 5.14188i 0.587259 0.479482i
\(116\) −1.52423 + 12.5532i −0.141522 + 1.16553i
\(117\) 4.19985 9.35807i 0.388276 0.865154i
\(118\) 0.0573456 + 0.472284i 0.00527909 + 0.0434772i
\(119\) −6.43858 6.18434i −0.590224 0.566917i
\(120\) −0.123502 + 0.128579i −0.0112741 + 0.0117376i
\(121\) −1.73051 + 3.64698i −0.157319 + 0.331543i
\(122\) 0.720299 0.497186i 0.0652128 0.0450131i
\(123\) 1.64817 2.60638i 0.148611 0.235009i
\(124\) −2.55096 3.39471i −0.229083 0.304854i
\(125\) −5.64476 10.7552i −0.504883 0.961974i
\(126\) 0.0850746 0.416723i 0.00757905 0.0371246i
\(127\) −12.1756 + 0.982920i −1.08041 + 0.0872200i −0.607831 0.794066i \(-0.707960\pi\)
−0.472583 + 0.881286i \(0.656678\pi\)
\(128\) 1.97071 + 0.570822i 0.174187 + 0.0504540i
\(129\) −1.51665 0.796000i −0.133534 0.0700839i
\(130\) −0.105293 + 0.394625i −0.00923481 + 0.0346109i
\(131\) −14.4952 + 7.60767i −1.26645 + 0.664685i −0.958058 0.286574i \(-0.907484\pi\)
−0.308394 + 0.951259i \(0.599791\pi\)
\(132\) 2.98672 0.609743i 0.259960 0.0530713i
\(133\) −4.63233 3.48097i −0.401674 0.301838i
\(134\) 0.00455351 + 0.112994i 0.000393364 + 0.00976122i
\(135\) −3.78332 + 1.43482i −0.325616 + 0.123490i
\(136\) −0.952013 + 0.275754i −0.0816345 + 0.0236457i
\(137\) −16.9887 3.46826i −1.45144 0.296314i −0.591334 0.806427i \(-0.701398\pi\)
−0.860107 + 0.510113i \(0.829604\pi\)
\(138\) −0.0778668 0.0878934i −0.00662846 0.00748198i
\(139\) −3.22981 + 3.95580i −0.273949 + 0.335526i −0.893194 0.449671i \(-0.851541\pi\)
0.619245 + 0.785198i \(0.287439\pi\)
\(140\) 0.327654 8.13065i 0.0276918 0.687165i
\(141\) 1.13045 + 3.38612i 0.0952014 + 0.285163i
\(142\) 0.0478890 0.0424259i 0.00401875 0.00356031i
\(143\) 10.6402 9.06995i 0.889776 0.758467i
\(144\) 8.46461 + 7.49899i 0.705384 + 0.624916i
\(145\) 4.36492 10.2448i 0.362487 0.850788i
\(146\) −0.319382 + 0.553185i −0.0264322 + 0.0457819i
\(147\) 0.318856 + 0.552274i 0.0262988 + 0.0455508i
\(148\) −5.50904 + 0.668918i −0.452840 + 0.0549847i
\(149\) 3.67102 + 1.74192i 0.300741 + 0.142704i 0.573084 0.819497i \(-0.305747\pi\)
−0.272342 + 0.962200i \(0.587798\pi\)
\(150\) −0.0420079 + 0.0242533i −0.00342993 + 0.00198027i
\(151\) −1.93036 1.33243i −0.157091 0.108432i 0.486926 0.873443i \(-0.338118\pi\)
−0.644017 + 0.765011i \(0.722733\pi\)
\(152\) −0.591827 + 0.252154i −0.0480035 + 0.0204524i
\(153\) −10.8070 1.75631i −0.873694 0.141989i
\(154\) 0.348271 0.463465i 0.0280645 0.0373470i
\(155\) 1.32604 + 3.49647i 0.106510 + 0.280843i
\(156\) −2.76576 0.619835i −0.221438 0.0496265i
\(157\) −0.0295775 + 0.0779895i −0.00236054 + 0.00622424i −0.936191 0.351491i \(-0.885675\pi\)
0.933831 + 0.357715i \(0.116444\pi\)
\(158\) −0.588213 0.930184i −0.0467957 0.0740015i
\(159\) 1.50185 + 0.639879i 0.119104 + 0.0507457i
\(160\) −1.14572 0.724509i −0.0905770 0.0572774i
\(161\) 10.6519 + 1.29338i 0.839487 + 0.101932i
\(162\) −0.192697 0.452276i −0.0151397 0.0355342i
\(163\) 4.96881 14.8834i 0.389187 1.16576i −0.553720 0.832703i \(-0.686792\pi\)
0.942907 0.333055i \(-0.108080\pi\)
\(164\) 14.6107 + 5.54112i 1.14091 + 0.432689i
\(165\) −2.67575 0.216009i −0.208307 0.0168163i
\(166\) −0.159949 + 0.552209i −0.0124145 + 0.0428597i
\(167\) 3.83496 + 0.154544i 0.296758 + 0.0119589i 0.188199 0.982131i \(-0.439735\pi\)
0.108560 + 0.994090i \(0.465376\pi\)
\(168\) −0.235298 −0.0181537
\(169\) −12.4791 + 3.64318i −0.959929 + 0.280245i
\(170\) 0.435964 0.0334369
\(171\) −7.10056 0.286143i −0.542994 0.0218819i
\(172\) 2.41475 8.33670i 0.184123 0.635667i
\(173\) −10.2521 0.827639i −0.779456 0.0629242i −0.315667 0.948870i \(-0.602228\pi\)
−0.463789 + 0.885946i \(0.653510\pi\)
\(174\) −0.150385 0.0570337i −0.0114007 0.00432371i
\(175\) 1.40363 4.20438i 0.106104 0.317821i
\(176\) 6.04189 + 14.1808i 0.455425 + 1.06892i
\(177\) 2.88626 + 0.350456i 0.216945 + 0.0263419i
\(178\) 0.00103121 0.000652098i 7.72926e−5 4.88768e-5i
\(179\) 10.0392 + 4.27732i 0.750368 + 0.319702i 0.733074 0.680148i \(-0.238085\pi\)
0.0172937 + 0.999850i \(0.494495\pi\)
\(180\) −5.33372 8.43460i −0.397552 0.628678i
\(181\) 5.19232 13.6910i 0.385942 1.01765i −0.591474 0.806324i \(-0.701454\pi\)
0.977416 0.211322i \(-0.0677770\pi\)
\(182\) −0.471884 + 0.260565i −0.0349784 + 0.0193144i
\(183\) −1.89670 5.00119i −0.140208 0.369699i
\(184\) 0.715646 0.952351i 0.0527581 0.0702083i
\(185\) 4.82378 + 0.783941i 0.354652 + 0.0576365i
\(186\) 0.0496877 0.0211699i 0.00364328 0.00155225i
\(187\) −12.2821 8.47771i −0.898155 0.619952i
\(188\) −15.6657 + 9.04458i −1.14254 + 0.659644i
\(189\) −4.82463 2.28932i −0.350941 0.166523i
\(190\) 0.280900 0.0341074i 0.0203786 0.00247441i
\(191\) 10.3973 + 18.0087i 0.752325 + 1.30306i 0.946693 + 0.322136i \(0.104401\pi\)
−0.194369 + 0.980929i \(0.562266\pi\)
\(192\) 1.55590 2.69489i 0.112287 0.194487i
\(193\) −3.25791 + 7.64660i −0.234509 + 0.550414i −0.995106 0.0988106i \(-0.968496\pi\)
0.760597 + 0.649225i \(0.224906\pi\)
\(194\) −0.941528 0.834121i −0.0675978 0.0598864i
\(195\) 2.18759 + 1.20193i 0.156657 + 0.0860718i
\(196\) −2.41876 + 2.14283i −0.172768 + 0.153059i
\(197\) −0.841027 2.51918i −0.0599207 0.179484i 0.914321 0.404990i \(-0.132725\pi\)
−0.974242 + 0.225505i \(0.927597\pi\)
\(198\) 0.0286286 0.710411i 0.00203455 0.0504867i
\(199\) −3.08988 + 3.78442i −0.219036 + 0.268270i −0.872421 0.488756i \(-0.837451\pi\)
0.653385 + 0.757026i \(0.273348\pi\)
\(200\) −0.326322 0.368341i −0.0230744 0.0260456i
\(201\) 0.677135 + 0.138238i 0.0477614 + 0.00975056i
\(202\) −0.204635 + 0.0592733i −0.0143981 + 0.00417046i
\(203\) 13.7421 5.21169i 0.964506 0.365789i
\(204\) 0.121822 + 3.02299i 0.00852926 + 0.211651i
\(205\) −11.0011 8.26677i −0.768348 0.577376i
\(206\) 0.597356 0.121951i 0.0416198 0.00849674i
\(207\) 11.6521 6.11551i 0.809879 0.425057i
\(208\) 0.273487 14.3298i 0.0189629 0.993593i
\(209\) −8.57684 4.50147i −0.593272 0.311373i
\(210\) 0.0994117 + 0.0287949i 0.00686006 + 0.00198704i
\(211\) −3.01409 + 0.243323i −0.207499 + 0.0167510i −0.183779 0.982968i \(-0.558833\pi\)
−0.0237198 + 0.999719i \(0.507551\pi\)
\(212\) −1.65464 + 8.10497i −0.113641 + 0.556652i
\(213\) −0.181704 0.346208i −0.0124502 0.0237218i
\(214\) −0.0724019 0.0963494i −0.00494929 0.00658631i
\(215\) −4.08511 + 6.46008i −0.278602 + 0.440574i
\(216\) −0.487928 + 0.336793i −0.0331993 + 0.0229158i
\(217\) −2.11574 + 4.45884i −0.143626 + 0.302686i
\(218\) −0.410403 + 0.427275i −0.0277960 + 0.0289387i
\(219\) 2.81534 + 2.70417i 0.190243 + 0.182731i
\(220\) −1.63963 13.5035i −0.110544 0.910408i
\(221\) 7.19130 + 11.8676i 0.483739 + 0.798298i
\(222\) 0.00850800 0.0700697i 0.000571019 0.00470277i
\(223\) −10.1965 + 8.32518i −0.682808 + 0.557495i −0.909107 0.416563i \(-0.863235\pi\)
0.226299 + 0.974058i \(0.427337\pi\)
\(224\) −0.357862 1.75293i −0.0239107 0.117122i
\(225\) −1.51239 5.22139i −0.100826 0.348093i
\(226\) 0.296816 + 1.20423i 0.0197439 + 0.0801042i
\(227\) 1.09847 13.6069i 0.0729077 0.903124i −0.852150 0.523297i \(-0.824702\pi\)
0.925058 0.379826i \(-0.124016\pi\)
\(228\) 0.314995 + 1.93824i 0.0208610 + 0.128363i
\(229\) −16.3633 + 18.4703i −1.08132 + 1.22055i −0.107263 + 0.994231i \(0.534209\pi\)
−0.974053 + 0.226322i \(0.927330\pi\)
\(230\) −0.418900 + 0.314783i −0.0276214 + 0.0207562i
\(231\) −2.24071 2.74437i −0.147428 0.180566i
\(232\) 0.261742 1.61056i 0.0171842 0.105739i
\(233\) 11.2635 + 2.77620i 0.737895 + 0.181875i 0.590312 0.807175i \(-0.299005\pi\)
0.147583 + 0.989050i \(0.452851\pi\)
\(234\) −0.294747 + 0.591741i −0.0192682 + 0.0386833i
\(235\) 15.4670 3.81228i 1.00896 0.248685i
\(236\) 1.18549 + 14.6850i 0.0771691 + 0.955911i
\(237\) −6.37972 + 2.12986i −0.414407 + 0.138349i
\(238\) 0.398582 + 0.414968i 0.0258362 + 0.0268984i
\(239\) 29.0996i 1.88229i 0.337997 + 0.941147i \(0.390251\pi\)
−0.337997 + 0.941147i \(0.609749\pi\)
\(240\) −1.98465 + 1.90628i −0.128109 + 0.123050i
\(241\) 11.4299 + 9.33226i 0.736267 + 0.601144i 0.924590 0.380964i \(-0.124408\pi\)
−0.188323 + 0.982107i \(0.560305\pi\)
\(242\) 0.120906 0.230367i 0.00777212 0.0148085i
\(243\) −9.78248 + 1.58981i −0.627547 + 0.101986i
\(244\) 22.9075 14.4859i 1.46651 0.927362i
\(245\) 2.57095 1.21993i 0.164252 0.0779385i
\(246\) −0.112903 + 0.163568i −0.00719842 + 0.0104287i
\(247\) 5.56195 + 7.08389i 0.353898 + 0.450737i
\(248\) 0.311257 + 0.450934i 0.0197649 + 0.0286344i
\(249\) 3.04272 + 1.75671i 0.192824 + 0.111327i
\(250\) 0.335600 + 0.707261i 0.0212252 + 0.0447311i
\(251\) 6.08101 + 2.03014i 0.383830 + 0.128141i 0.502034 0.864848i \(-0.332585\pi\)
−0.118204 + 0.992989i \(0.537714\pi\)
\(252\) 3.15201 12.7882i 0.198558 0.805582i
\(253\) 17.9226 0.722256i 1.12678 0.0454078i
\(254\) 0.786637 0.0317004i 0.0493580 0.00198906i
\(255\) 0.637609 2.58688i 0.0399286 0.161997i
\(256\) 14.8624 + 4.96178i 0.928897 + 0.310112i
\(257\) 8.33338 + 17.5622i 0.519822 + 1.09550i 0.978376 + 0.206835i \(0.0663164\pi\)
−0.458554 + 0.888667i \(0.651632\pi\)
\(258\) 0.0956035 + 0.0551967i 0.00595201 + 0.00343640i
\(259\) 3.66398 + 5.30819i 0.227669 + 0.329835i
\(260\) −3.75006 + 12.0792i −0.232569 + 0.749123i
\(261\) 10.2392 14.8340i 0.633788 0.918201i
\(262\) 0.953204 0.452301i 0.0588892 0.0279433i
\(263\) 7.75975 4.90697i 0.478487 0.302577i −0.273363 0.961911i \(-0.588136\pi\)
0.751850 + 0.659334i \(0.229162\pi\)
\(264\) −0.388245 + 0.0630960i −0.0238948 + 0.00388329i
\(265\) 3.38538 6.45030i 0.207962 0.396239i
\(266\) 0.289279 + 0.236189i 0.0177368 + 0.0144817i
\(267\) 0.00537754 0.00516519i 0.000329100 0.000316105i
\(268\) 3.50196i 0.213916i
\(269\) −3.14768 3.27708i −0.191917 0.199807i 0.618291 0.785949i \(-0.287825\pi\)
−0.810208 + 0.586142i \(0.800646\pi\)
\(270\) 0.247361 0.0825813i 0.0150539 0.00502574i
\(271\) 1.82190 + 22.5683i 0.110672 + 1.37092i 0.778984 + 0.627043i \(0.215735\pi\)
−0.668312 + 0.743881i \(0.732983\pi\)
\(272\) −14.8541 + 3.66120i −0.900659 + 0.221993i
\(273\) 0.855974 + 3.18111i 0.0518059 + 0.192529i
\(274\) 1.08504 + 0.267437i 0.0655494 + 0.0161565i
\(275\) 1.18859 7.31366i 0.0716744 0.441030i
\(276\) −2.29977 2.81671i −0.138430 0.169546i
\(277\) 3.72160 2.79660i 0.223609 0.168032i −0.483034 0.875602i \(-0.660465\pi\)
0.706643 + 0.707570i \(0.250209\pi\)
\(278\) 0.218259 0.246363i 0.0130903 0.0147759i
\(279\) 0.970924 + 5.97433i 0.0581277 + 0.357674i
\(280\) −0.0844887 + 1.04658i −0.00504917 + 0.0625452i
\(281\) −5.52980 22.4353i −0.329880 1.33838i −0.868442 0.495790i \(-0.834878\pi\)
0.538562 0.842586i \(-0.318968\pi\)
\(282\) −0.0640114 0.220993i −0.00381182 0.0131599i
\(283\) 3.39683 + 16.6388i 0.201920 + 0.989071i 0.946788 + 0.321859i \(0.104308\pi\)
−0.744867 + 0.667213i \(0.767487\pi\)
\(284\) 1.53469 1.25304i 0.0910671 0.0743540i
\(285\) 0.208441 1.71666i 0.0123470 0.101686i
\(286\) −0.708743 + 0.556473i −0.0419089 + 0.0329049i
\(287\) −2.18914 18.0292i −0.129221 1.06423i
\(288\) −1.58242 1.51993i −0.0932447 0.0895628i
\(289\) −1.51580 + 1.57811i −0.0891646 + 0.0928301i
\(290\) −0.307679 + 0.648419i −0.0180675 + 0.0380765i
\(291\) −6.32644 + 4.36683i −0.370863 + 0.255988i
\(292\) −10.5721 + 16.7185i −0.618687 + 0.978376i
\(293\) 8.52526 + 11.3451i 0.498051 + 0.662786i 0.976547 0.215304i \(-0.0690743\pi\)
−0.478496 + 0.878090i \(0.658818\pi\)
\(294\) −0.0191004 0.0363928i −0.00111396 0.00212247i
\(295\) 2.59516 12.7119i 0.151096 0.740118i
\(296\) 0.713755 0.0576203i 0.0414862 0.00334911i
\(297\) −8.57460 2.48366i −0.497549 0.144117i
\(298\) −0.231885 0.121703i −0.0134328 0.00705006i
\(299\) −15.4787 6.21065i −0.895155 0.359171i
\(300\) −1.33006 + 0.698068i −0.0767909 + 0.0403030i
\(301\) −9.88379 + 2.01779i −0.569692 + 0.116303i
\(302\) 0.120853 + 0.0908155i 0.00695433 + 0.00522584i
\(303\) 0.0524259 + 1.30094i 0.00301179 + 0.0747368i
\(304\) −9.28433 + 3.52108i −0.532493 + 0.201948i
\(305\) −22.9258 + 6.64054i −1.31273 + 0.380236i
\(306\) 0.691390 + 0.141148i 0.0395242 + 0.00806892i
\(307\) −6.79159 7.66612i −0.387617 0.437529i 0.522020 0.852933i \(-0.325179\pi\)
−0.909637 + 0.415404i \(0.863640\pi\)
\(308\) 11.3542 13.9063i 0.646963 0.792386i
\(309\) 0.150028 3.72289i 0.00853477 0.211788i
\(310\) −0.0763201 0.228607i −0.00433469 0.0129840i
\(311\) −13.1747 + 11.6718i −0.747069 + 0.661845i −0.948184 0.317722i \(-0.897082\pi\)
0.201115 + 0.979568i \(0.435544\pi\)
\(312\) 0.353369 + 0.0942853i 0.0200056 + 0.00533785i
\(313\) −5.29426 4.69031i −0.299249 0.265112i 0.500114 0.865960i \(-0.333291\pi\)
−0.799364 + 0.600848i \(0.794830\pi\)
\(314\) 0.00210713 0.00494561i 0.000118912 0.000279097i
\(315\) −5.79938 + 10.0448i −0.326758 + 0.565962i
\(316\) −17.0407 29.5153i −0.958614 1.66037i
\(317\) 17.0861 2.07463i 0.959653 0.116523i 0.374306 0.927305i \(-0.377881\pi\)
0.585348 + 0.810782i \(0.300958\pi\)
\(318\) −0.0950555 0.0451044i −0.00533045 0.00252933i
\(319\) 21.2771 12.2843i 1.19129 0.687791i
\(320\) −11.4279 7.88811i −0.638839 0.440959i
\(321\) −0.677599 + 0.288698i −0.0378199 + 0.0161135i
\(322\) −0.682604 0.110934i −0.0380400 0.00618211i
\(323\) 5.77532 7.68556i 0.321348 0.427636i
\(324\) −5.39850 14.2347i −0.299917 0.790815i
\(325\) −3.79267 + 5.75165i −0.210379 + 0.319044i
\(326\) −0.358606 + 0.945566i −0.0198613 + 0.0523700i
\(327\) 1.93510 + 3.06012i 0.107011 + 0.169225i
\(328\) −1.85497 0.790329i −0.102424 0.0436386i
\(329\) 17.7695 + 11.2367i 0.979662 + 0.619501i
\(330\) 0.171752 + 0.0208545i 0.00945464 + 0.00114800i
\(331\) −11.1919 26.2685i −0.615165 1.44385i −0.877837 0.478960i \(-0.841014\pi\)
0.262671 0.964885i \(-0.415397\pi\)
\(332\) −5.63774 + 16.8871i −0.309411 + 0.926800i
\(333\) 7.39618 + 2.80500i 0.405308 + 0.153713i
\(334\) −0.246562 0.0199046i −0.0134913 0.00108913i
\(335\) 0.858007 2.96218i 0.0468779 0.161841i
\(336\) −3.62895 0.146242i −0.197975 0.00797813i
\(337\) 27.2678 1.48537 0.742685 0.669641i \(-0.233552\pi\)
0.742685 + 0.669641i \(0.233552\pi\)
\(338\) 0.813081 0.202228i 0.0442258 0.0109998i
\(339\) 7.57965 0.411670
\(340\) 13.4897 + 0.543615i 0.731579 + 0.0294816i
\(341\) −2.29535 + 7.92448i −0.124300 + 0.429135i
\(342\) 0.456519 + 0.0368540i 0.0246857 + 0.00199284i
\(343\) 18.6943 + 7.08980i 1.00940 + 0.382813i
\(344\) −0.354649 + 1.06230i −0.0191214 + 0.0572756i
\(345\) 1.25518 + 2.94601i 0.0675765 + 0.158608i
\(346\) 0.658069 + 0.0799040i 0.0353780 + 0.00429567i
\(347\) −11.9200 7.53776i −0.639900 0.404648i 0.174740 0.984615i \(-0.444091\pi\)
−0.814641 + 0.579966i \(0.803066\pi\)
\(348\) −4.58213 1.95226i −0.245628 0.104652i
\(349\) −5.84304 9.24003i −0.312771 0.494608i 0.651814 0.758378i \(-0.274008\pi\)
−0.964585 + 0.263771i \(0.915034\pi\)
\(350\) −0.101302 + 0.267110i −0.00541480 + 0.0142777i
\(351\) 6.32825 + 5.37133i 0.337777 + 0.286701i
\(352\) −1.06053 2.79639i −0.0565265 0.149048i
\(353\) −5.02685 + 6.68953i −0.267552 + 0.356048i −0.913145 0.407634i \(-0.866354\pi\)
0.645593 + 0.763682i \(0.276610\pi\)
\(354\) −0.184960 0.0300589i −0.00983051 0.00159761i
\(355\) −1.60514 + 0.683887i −0.0851921 + 0.0362969i
\(356\) 0.0310948 + 0.0214632i 0.00164802 + 0.00113755i
\(357\) 3.04523 1.75817i 0.161171 0.0930521i
\(358\) −0.635406 0.301504i −0.0335823 0.0159350i
\(359\) −29.3476 + 3.56345i −1.54891 + 0.188071i −0.849862 0.527005i \(-0.823315\pi\)
−0.699046 + 0.715077i \(0.746392\pi\)
\(360\) 0.643852 + 1.11519i 0.0339340 + 0.0587754i
\(361\) −6.38012 + 11.0507i −0.335796 + 0.581616i
\(362\) −0.369905 + 0.868199i −0.0194418 + 0.0456315i
\(363\) −1.19010 1.05434i −0.0624641 0.0553384i
\(364\) −14.9260 + 7.47404i −0.782335 + 0.391746i
\(365\) 13.0387 11.5513i 0.682479 0.604623i
\(366\) 0.109165 + 0.326989i 0.00570614 + 0.0170920i
\(367\) −0.372983 + 9.25549i −0.0194696 + 0.483132i 0.959814 + 0.280638i \(0.0905459\pi\)
−0.979283 + 0.202495i \(0.935095\pi\)
\(368\) 11.6291 14.2431i 0.606210 0.742473i
\(369\) −14.7700 16.6719i −0.768896 0.867904i
\(370\) −0.308607 0.0630026i −0.0160437 0.00327535i
\(371\) 9.23475 2.67488i 0.479444 0.138873i
\(372\) 1.56384 0.593086i 0.0810813 0.0307501i
\(373\) 0.403413 + 10.0106i 0.0208879 + 0.518329i 0.975437 + 0.220277i \(0.0706960\pi\)
−0.954550 + 0.298052i \(0.903663\pi\)
\(374\) 0.768940 + 0.577821i 0.0397610 + 0.0298784i
\(375\) 4.68751 0.956961i 0.242062 0.0494173i
\(376\) 2.06677 1.08472i 0.106585 0.0559403i
\(377\) −22.7261 + 2.32034i −1.17045 + 0.119504i
\(378\) 0.304755 + 0.159948i 0.0156749 + 0.00822683i
\(379\) −1.22259 0.354127i −0.0628002 0.0181903i 0.246669 0.969100i \(-0.420664\pi\)
−0.309469 + 0.950910i \(0.600151\pi\)
\(380\) 8.73418 0.705096i 0.448054 0.0361707i
\(381\) 0.962378 4.71404i 0.0493041 0.241508i
\(382\) −0.622832 1.18671i −0.0318668 0.0607172i
\(383\) −16.7286 22.2618i −0.854793 1.13752i −0.989196 0.146596i \(-0.953168\pi\)
0.134403 0.990927i \(-0.457088\pi\)
\(384\) −0.431910 + 0.683011i −0.0220408 + 0.0348548i
\(385\) −13.0112 + 8.98100i −0.663113 + 0.457714i
\(386\) 0.229647 0.483970i 0.0116887 0.0246334i
\(387\) −8.57005 + 8.92237i −0.435640 + 0.453550i
\(388\) −28.0928 26.9835i −1.42620 1.36988i
\(389\) 1.53417 + 12.6350i 0.0777854 + 0.640620i 0.978506 + 0.206220i \(0.0661164\pi\)
−0.900720 + 0.434400i \(0.856961\pi\)
\(390\) −0.137757 0.0830788i −0.00697561 0.00420686i
\(391\) −2.14586 + 17.6727i −0.108521 + 0.893747i
\(392\) 0.322984 0.263708i 0.0163131 0.0133193i
\(393\) −1.28973 6.31754i −0.0650585 0.318678i
\(394\) 0.0476228 + 0.164413i 0.00239920 + 0.00828300i
\(395\) 7.18263 + 29.1411i 0.361397 + 1.46625i
\(396\) 1.77166 21.9460i 0.0890293 1.10283i
\(397\) −5.21275 32.0753i −0.261620 1.60981i −0.702118 0.712060i \(-0.747762\pi\)
0.440498 0.897754i \(-0.354802\pi\)
\(398\) 0.208803 0.235690i 0.0104664 0.0118141i
\(399\) 1.82455 1.37106i 0.0913420 0.0686390i
\(400\) −4.80385 5.88365i −0.240193 0.294182i
\(401\) −3.07253 + 18.9060i −0.153435 + 0.944121i 0.790131 + 0.612937i \(0.210012\pi\)
−0.943566 + 0.331184i \(0.892552\pi\)
\(402\) −0.0432473 0.0106595i −0.00215698 0.000531648i
\(403\) 4.96409 5.84845i 0.247279 0.291332i
\(404\) −6.40577 + 1.57888i −0.318699 + 0.0785522i
\(405\) 1.07879 + 13.3633i 0.0536057 + 0.664026i
\(406\) −0.898487 + 0.299959i −0.0445912 + 0.0148867i
\(407\) 7.46902 + 7.77607i 0.370226 + 0.385446i
\(408\) 0.390386i 0.0193270i
\(409\) 9.80073 9.41373i 0.484615 0.465479i −0.410149 0.912019i \(-0.634523\pi\)
0.894764 + 0.446540i \(0.147344\pi\)
\(410\) 0.686993 + 0.560912i 0.0339281 + 0.0277015i
\(411\) 3.17379 6.04715i 0.156551 0.298284i
\(412\) 18.6355 3.02857i 0.918108 0.149207i
\(413\) 14.4724 9.15177i 0.712139 0.450329i
\(414\) −0.766244 + 0.363587i −0.0376588 + 0.0178693i
\(415\) 8.90622 12.9029i 0.437189 0.633378i
\(416\) −0.164972 + 2.77593i −0.00808842 + 0.136101i
\(417\) −1.14264 1.65540i −0.0559553 0.0810652i
\(418\) 0.540649 + 0.312144i 0.0264440 + 0.0152674i
\(419\) −8.07331 17.0141i −0.394407 0.831195i −0.999389 0.0349560i \(-0.988871\pi\)
0.604982 0.796239i \(-0.293180\pi\)
\(420\) 3.04011 + 1.01494i 0.148342 + 0.0495238i
\(421\) −6.03519 + 24.4857i −0.294137 + 1.19336i 0.618895 + 0.785474i \(0.287581\pi\)
−0.913032 + 0.407888i \(0.866266\pi\)
\(422\) 0.194733 0.00784746i 0.00947944 0.000382008i
\(423\) 25.7632 1.03822i 1.25265 0.0504801i
\(424\) 0.255444 1.03638i 0.0124054 0.0503309i
\(425\) 6.97553 + 2.32878i 0.338363 + 0.112962i
\(426\) 0.0108029 + 0.0227667i 0.000523403 + 0.00110305i
\(427\) −27.2807 15.7505i −1.32021 0.762222i
\(428\) −2.12013 3.07154i −0.102480 0.148468i
\(429\) 2.26539 + 5.01933i 0.109374 + 0.242336i
\(430\) 0.279837 0.405414i 0.0134950 0.0195508i
\(431\) 33.1843 15.7461i 1.59843 0.758465i 0.599315 0.800514i \(-0.295440\pi\)
0.999116 + 0.0420491i \(0.0133886\pi\)
\(432\) −7.73452 + 4.89101i −0.372127 + 0.235319i
\(433\) 1.63127 0.265107i 0.0783939 0.0127402i −0.121088 0.992642i \(-0.538638\pi\)
0.199482 + 0.979902i \(0.436074\pi\)
\(434\) 0.147821 0.281649i 0.00709563 0.0135196i
\(435\) 3.39754 + 2.77401i 0.162900 + 0.133003i
\(436\) −13.2315 + 12.7091i −0.633676 + 0.608654i
\(437\) 11.5548i 0.552739i
\(438\) −0.174284 0.181449i −0.00832761 0.00866996i
\(439\) −33.1146 + 11.0553i −1.58047 + 0.527639i −0.965387 0.260822i \(-0.916007\pi\)
−0.615085 + 0.788461i \(0.710878\pi\)
\(440\) 0.141236 + 1.74953i 0.00673319 + 0.0834055i
\(441\) 4.47220 1.10230i 0.212962 0.0524905i
\(442\) −0.432307 0.782909i −0.0205628 0.0372392i
\(443\) −29.0684 7.16472i −1.38108 0.340406i −0.522306 0.852758i \(-0.674928\pi\)
−0.858776 + 0.512352i \(0.828774\pi\)
\(444\) 0.350627 2.15750i 0.0166400 0.102390i
\(445\) −0.0210433 0.0257734i −0.000997548 0.00122177i
\(446\) 0.678238 0.509663i 0.0321155 0.0241332i
\(447\) −1.06129 + 1.19795i −0.0501972 + 0.0566609i
\(448\) −2.93979 18.0893i −0.138892 0.854638i
\(449\) 1.66471 20.6211i 0.0785623 0.973169i −0.830639 0.556812i \(-0.812025\pi\)
0.909201 0.416357i \(-0.136693\pi\)
\(450\) 0.0838447 + 0.340171i 0.00395248 + 0.0160358i
\(451\) −8.44669 29.1614i −0.397739 1.37315i
\(452\) 7.68254 + 37.6316i 0.361356 + 1.77004i
\(453\) 0.715624 0.584289i 0.0336230 0.0274523i
\(454\) −0.106051 + 0.873408i −0.00497721 + 0.0409910i
\(455\) 14.4566 2.66504i 0.677734 0.124939i
\(456\) −0.0305417 0.251534i −0.00143025 0.0117791i
\(457\) 22.3597 + 21.4768i 1.04594 + 1.00464i 0.999984 + 0.00570049i \(0.00181453\pi\)
0.0459612 + 0.998943i \(0.485365\pi\)
\(458\) 1.10169 1.14698i 0.0514788 0.0535951i
\(459\) 3.79824 8.00461i 0.177286 0.373623i
\(460\) −13.3542 + 9.21772i −0.622642 + 0.429778i
\(461\) −6.04059 + 9.55242i −0.281338 + 0.444901i −0.956060 0.293172i \(-0.905289\pi\)
0.674722 + 0.738072i \(0.264264\pi\)
\(462\) 0.137175 + 0.182547i 0.00638195 + 0.00849284i
\(463\) 7.02291 + 13.3810i 0.326382 + 0.621869i 0.992258 0.124193i \(-0.0396343\pi\)
−0.665876 + 0.746063i \(0.731942\pi\)
\(464\) 5.03777 24.6766i 0.233873 1.14558i
\(465\) −1.46811 + 0.118518i −0.0680818 + 0.00549613i
\(466\) −0.718140 0.208012i −0.0332672 0.00963596i
\(467\) 20.7218 + 10.8757i 0.958892 + 0.503266i 0.870149 0.492789i \(-0.164023\pi\)
0.0887435 + 0.996055i \(0.471715\pi\)
\(468\) −9.85797 + 17.9422i −0.455685 + 0.829379i
\(469\) 3.60396 1.89150i 0.166415 0.0873415i
\(470\) −1.00594 + 0.205364i −0.0464004 + 0.00947271i
\(471\) −0.0262640 0.0197362i −0.00121018 0.000909394i
\(472\) −0.0765469 1.89949i −0.00352336 0.0874312i
\(473\) −15.7673 + 5.97975i −0.724981 + 0.274949i
\(474\) 0.416368 0.120602i 0.0191244 0.00553945i
\(475\) 4.67666 + 0.954748i 0.214580 + 0.0438068i
\(476\) 11.8155 + 13.3370i 0.541565 + 0.611300i
\(477\) 7.45720 9.13341i 0.341442 0.418190i
\(478\) 0.0755177 1.87395i 0.00345410 0.0857126i
\(479\) 4.92436 + 14.7503i 0.225000 + 0.673956i 0.999160 + 0.0409674i \(0.0130440\pi\)
−0.774161 + 0.632989i \(0.781828\pi\)
\(480\) 0.399649 0.354058i 0.0182414 0.0161605i
\(481\) −3.37551 9.43997i −0.153910 0.430425i
\(482\) −0.711846 0.630641i −0.0324237 0.0287249i
\(483\) −1.65658 + 3.88813i −0.0753769 + 0.176916i
\(484\) 4.02834 6.97728i 0.183106 0.317149i
\(485\) 17.1515 + 29.7073i 0.778811 + 1.34894i
\(486\) 0.634097 0.0769934i 0.0287632 0.00349249i
\(487\) 16.0991 + 7.63912i 0.729520 + 0.346161i 0.756959 0.653462i \(-0.226684\pi\)
−0.0274395 + 0.999623i \(0.508735\pi\)
\(488\) −3.02873 + 1.74864i −0.137104 + 0.0791572i
\(489\) 5.08624 + 3.51078i 0.230008 + 0.158763i
\(490\) −0.168730 + 0.0718890i −0.00762243 + 0.00324761i
\(491\) −1.49567 0.243070i −0.0674987 0.0109696i 0.126568 0.991958i \(-0.459604\pi\)
−0.194067 + 0.980988i \(0.562168\pi\)
\(492\) −3.69741 + 4.92037i −0.166692 + 0.221827i
\(493\) 8.64678 + 22.7997i 0.389431 + 1.02685i
\(494\) −0.339794 0.470622i −0.0152881 0.0211743i
\(495\) −6.87550 + 18.1292i −0.309031 + 0.814848i
\(496\) 4.52019 + 7.14810i 0.202962 + 0.320959i
\(497\) −2.11846 0.902591i −0.0950258 0.0404867i
\(498\) −0.191386 0.121025i −0.00857620 0.00542326i
\(499\) 7.82614 + 0.950266i 0.350346 + 0.0425397i 0.293818 0.955861i \(-0.405074\pi\)
0.0565280 + 0.998401i \(0.481997\pi\)
\(500\) 9.50227 + 22.3026i 0.424954 + 0.997405i
\(501\) −0.478712 + 1.43392i −0.0213873 + 0.0640627i
\(502\) −0.386336 0.146518i −0.0172430 0.00653942i
\(503\) −28.0480 2.26427i −1.25060 0.100959i −0.562637 0.826704i \(-0.690213\pi\)
−0.687964 + 0.725745i \(0.741495\pi\)
\(504\) −0.472832 + 1.63241i −0.0210616 + 0.0727132i
\(505\) 5.80524 + 0.233943i 0.258330 + 0.0104103i
\(506\) −1.15605 −0.0513928
\(507\) −0.0108092 5.12035i −0.000480054 0.227403i
\(508\) 24.3798 1.08168
\(509\) 5.92187 + 0.238643i 0.262482 + 0.0105777i 0.171158 0.985244i \(-0.445249\pi\)
0.0913241 + 0.995821i \(0.470890\pi\)
\(510\) −0.0477741 + 0.164935i −0.00211547 + 0.00730345i
\(511\) 22.9157 + 1.84995i 1.01373 + 0.0818369i
\(512\) −4.78100 1.81319i −0.211292 0.0801325i
\(513\) 1.82104 5.45468i 0.0804009 0.240830i
\(514\) −0.491076 1.15260i −0.0216604 0.0508389i
\(515\) −16.5052 2.00409i −0.727304 0.0883107i
\(516\) 2.88935 + 1.82711i 0.127197 + 0.0804342i
\(517\) 32.3330 + 13.7758i 1.42200 + 0.605859i
\(518\) −0.222177 0.351345i −0.00976190 0.0154372i
\(519\) 1.43657 3.78793i 0.0630585 0.166272i
\(520\) 0.546255 1.53789i 0.0239549 0.0674410i
\(521\) −7.65314 20.1797i −0.335290 0.884088i −0.991570 0.129570i \(-0.958640\pi\)
0.656280 0.754517i \(-0.272129\pi\)
\(522\) −0.697877 + 0.928706i −0.0305453 + 0.0406484i
\(523\) −34.4871 5.60471i −1.50802 0.245077i −0.650490 0.759515i \(-0.725436\pi\)
−0.857528 + 0.514438i \(0.828001\pi\)
\(524\) 30.0582 12.8066i 1.31310 0.559458i
\(525\) 1.43680 + 0.991751i 0.0627070 + 0.0432836i
\(526\) −0.512446 + 0.295861i −0.0223437 + 0.0129002i
\(527\) −7.39771 3.51026i −0.322250 0.152909i
\(528\) −6.02703 + 0.731814i −0.262293 + 0.0318481i
\(529\) 0.801483 + 1.38821i 0.0348471 + 0.0603569i
\(530\) −0.234751 + 0.406601i −0.0101969 + 0.0176616i
\(531\) 8.23128 19.3195i 0.357207 0.838396i
\(532\) 8.65640 + 7.66890i 0.375303 + 0.332489i
\(533\) −3.93676 + 27.9533i −0.170520 + 1.21079i
\(534\) −0.000359707 0 0.000318672i −1.55660e−5 0 1.37903e-5i
\(535\) 1.04079 + 3.11755i 0.0449973 + 0.134783i
\(536\) 0.0181951 0.451508i 0.000785910 0.0195022i
\(537\) −2.71834 + 3.32936i −0.117305 + 0.143672i
\(538\) 0.194199 + 0.219206i 0.00837253 + 0.00945064i
\(539\) 6.15144 + 1.25583i 0.264961 + 0.0540922i
\(540\) 7.75686 2.24680i 0.333802 0.0966870i
\(541\) 13.6125 5.16255i 0.585248 0.221955i −0.0441675 0.999024i \(-0.514064\pi\)
0.629416 + 0.777069i \(0.283294\pi\)
\(542\) −0.0587585 1.45808i −0.00252390 0.0626298i
\(543\) 4.61064 + 3.46467i 0.197862 + 0.148683i
\(544\) 2.90830 0.593734i 0.124692 0.0254561i
\(545\) 14.3059 7.50831i 0.612797 0.321621i
\(546\) −0.0468675 0.207078i −0.00200575 0.00886212i
\(547\) −34.0923 17.8930i −1.45768 0.765050i −0.464943 0.885341i \(-0.653925\pi\)
−0.992739 + 0.120290i \(0.961617\pi\)
\(548\) 33.2398 + 9.62804i 1.41994 + 0.411289i
\(549\) −38.5077 + 3.10867i −1.64347 + 0.132675i
\(550\) −0.0955225 + 0.467900i −0.00407309 + 0.0199513i
\(551\) 7.35501 + 14.0138i 0.313334 + 0.597008i
\(552\) 0.281874 + 0.375106i 0.0119974 + 0.0159656i
\(553\) −21.1709 + 33.4790i −0.900277 + 1.42367i
\(554\) −0.246921 + 0.170437i −0.0104907 + 0.00724119i
\(555\) −0.825186 + 1.73904i −0.0350272 + 0.0738182i
\(556\) 7.06060 7.35086i 0.299436 0.311746i
\(557\) −15.0301 14.4366i −0.636845 0.611698i 0.303127 0.952950i \(-0.401969\pi\)
−0.939972 + 0.341252i \(0.889149\pi\)
\(558\) −0.0470212 0.387254i −0.00199057 0.0163938i
\(559\) 15.6519 + 0.930187i 0.662006 + 0.0393427i
\(560\) −1.95352 + 16.0887i −0.0825511 + 0.679870i
\(561\) 4.55322 3.71759i 0.192237 0.156957i
\(562\) 0.297885 + 1.45914i 0.0125655 + 0.0615499i
\(563\) −4.87777 16.8400i −0.205573 0.709721i −0.995350 0.0963266i \(-0.969291\pi\)
0.789776 0.613395i \(-0.210197\pi\)
\(564\) −1.70509 6.91781i −0.0717972 0.291293i
\(565\) 2.72163 33.7134i 0.114500 1.41834i
\(566\) −0.175569 1.08032i −0.00737970 0.0454091i
\(567\) −11.7334 + 13.2443i −0.492756 + 0.556207i
\(568\) −0.204378 + 0.153580i −0.00857550 + 0.00644407i
\(569\) 18.5309 + 22.6962i 0.776855 + 0.951475i 0.999727 0.0233729i \(-0.00744052\pi\)
−0.222872 + 0.974848i \(0.571543\pi\)
\(570\) −0.0178781 + 0.110009i −0.000748832 + 0.00460775i
\(571\) −29.9164 7.37374i −1.25196 0.308581i −0.443044 0.896500i \(-0.646101\pi\)
−0.808920 + 0.587919i \(0.799947\pi\)
\(572\) −22.6239 + 16.3347i −0.945954 + 0.682989i
\(573\) −7.95248 + 1.96011i −0.332219 + 0.0818848i
\(574\) 0.0941876 + 1.16672i 0.00393132 + 0.0486981i
\(575\) −8.38397 + 2.79898i −0.349636 + 0.116726i
\(576\) −15.5695 16.2096i −0.648730 0.675400i
\(577\) 20.2227i 0.841881i −0.907088 0.420941i \(-0.861700\pi\)
0.907088 0.420941i \(-0.138300\pi\)
\(578\) 0.101710 0.0976934i 0.00423056 0.00406351i
\(579\) −2.53587 2.07048i −0.105387 0.0860461i
\(580\) −10.3288 + 19.6798i −0.428879 + 0.817160i
\(581\) 20.4240 3.31923i 0.847332 0.137705i
\(582\) 0.418742 0.264797i 0.0173574 0.0109762i
\(583\) 14.5202 6.88991i 0.601365 0.285351i
\(584\) 1.44993 2.10058i 0.0599985 0.0869228i
\(585\) 12.7345 12.7614i 0.526506 0.527618i
\(586\) −0.519567 0.752723i −0.0214631 0.0310947i
\(587\) −30.7701 17.7651i −1.27002 0.733245i −0.295026 0.955489i \(-0.595328\pi\)
−0.974991 + 0.222245i \(0.928662\pi\)
\(588\) −0.545629 1.14989i −0.0225014 0.0474206i
\(589\) −5.04112 1.68297i −0.207716 0.0693456i
\(590\) −0.200112 + 0.811888i −0.00823850 + 0.0334249i
\(591\) 1.04523 0.0421212i 0.0429949 0.00173264i
\(592\) 11.0439 0.445053i 0.453901 0.0182916i
\(593\) 1.36822 5.55109i 0.0561861 0.227956i −0.936136 0.351639i \(-0.885624\pi\)
0.992322 + 0.123683i \(0.0394706\pi\)
\(594\) 0.545741 + 0.182195i 0.0223920 + 0.00747555i
\(595\) −6.72668 14.1762i −0.275767 0.581166i
\(596\) −7.02328 4.05489i −0.287685 0.166095i
\(597\) −1.09314 1.58368i −0.0447391 0.0648157i
\(598\) 0.980677 + 0.440123i 0.0401029 + 0.0179980i
\(599\) 27.0330 39.1641i 1.10454 1.60020i 0.359545 0.933128i \(-0.382932\pi\)
0.744993 0.667072i \(-0.232453\pi\)
\(600\) 0.175111 0.0830912i 0.00714888 0.00339219i
\(601\) −11.9716 + 7.57040i −0.488333 + 0.308803i −0.755844 0.654752i \(-0.772773\pi\)
0.267511 + 0.963555i \(0.413799\pi\)
\(602\) 0.641732 0.104292i 0.0261550 0.00425061i
\(603\) 2.31974 4.41990i 0.0944673 0.179992i
\(604\) 3.62622 + 2.96072i 0.147549 + 0.120470i
\(605\) −5.11691 + 4.91486i −0.208032 + 0.199817i
\(606\) 0.0839136i 0.00340876i
\(607\) −1.17026 1.21836i −0.0474992 0.0494519i 0.697029 0.717043i \(-0.254505\pi\)
−0.744528 + 0.667591i \(0.767325\pi\)
\(608\) 1.82743 0.610084i 0.0741119 0.0247422i
\(609\) 0.465807 + 5.77006i 0.0188755 + 0.233815i
\(610\) 1.49361 0.368141i 0.0604744 0.0149056i
\(611\) −22.1834 23.9955i −0.897444 0.970755i
\(612\) 21.2171 + 5.22955i 0.857651 + 0.211392i
\(613\) −2.55127 + 15.6986i −0.103045 + 0.634060i 0.883229 + 0.468942i \(0.155365\pi\)
−0.986274 + 0.165118i \(0.947199\pi\)
\(614\) 0.417470 + 0.511308i 0.0168477 + 0.0206347i
\(615\) 4.33303 3.25606i 0.174725 0.131297i
\(616\) −1.53614 + 1.73395i −0.0618930 + 0.0698628i
\(617\) 5.28662 + 32.5299i 0.212831 + 1.30960i 0.844997 + 0.534771i \(0.179602\pi\)
−0.632166 + 0.774833i \(0.717834\pi\)
\(618\) −0.0193229 + 0.239357i −0.000777282 + 0.00962837i
\(619\) −1.67003 6.77559i −0.0671243 0.272334i 0.927784 0.373117i \(-0.121711\pi\)
−0.994908 + 0.100784i \(0.967865\pi\)
\(620\) −2.07645 7.16875i −0.0833924 0.287904i
\(621\) 2.13007 + 10.4338i 0.0854768 + 0.418693i
\(622\) 0.878714 0.717448i 0.0352332 0.0287670i
\(623\) 0.00529318 0.0435933i 0.000212067 0.00174653i
\(624\) 5.39132 + 1.67376i 0.215826 + 0.0670041i
\(625\) −1.42169 11.7087i −0.0568677 0.468348i
\(626\) 0.328768 + 0.315786i 0.0131402 + 0.0126213i
\(627\) 2.64288 2.75153i 0.105547 0.109886i
\(628\) 0.0713658 0.150400i 0.00284780 0.00600162i
\(629\) −8.80689 + 6.07895i −0.351154 + 0.242384i
\(630\) 0.399536 0.631816i 0.0159179 0.0251721i
\(631\) 23.3179 + 31.0304i 0.928269 + 1.23530i 0.971693 + 0.236245i \(0.0759169\pi\)
−0.0434243 + 0.999057i \(0.513827\pi\)
\(632\) 2.04370 + 3.89395i 0.0812941 + 0.154893i
\(633\) 0.238237 1.16696i 0.00946909 0.0463827i
\(634\) −1.10570 + 0.0892610i −0.0439128 + 0.00354501i
\(635\) −20.6220 5.97322i −0.818358 0.237040i
\(636\) −2.88498 1.51415i −0.114397 0.0600401i
\(637\) −4.74015 3.40724i −0.187811 0.135000i
\(638\) −1.40208 + 0.735869i −0.0555089 + 0.0291333i
\(639\) −2.76699 + 0.564886i −0.109461 + 0.0223465i
\(640\) 2.88287 + 2.16634i 0.113956 + 0.0856320i
\(641\) −0.0800565 1.98658i −0.00316204 0.0784653i 0.996837 0.0794675i \(-0.0253220\pi\)
−0.999999 + 0.00100225i \(0.999681\pi\)
\(642\) 0.0443852 0.0168331i 0.00175174 0.000664349i
\(643\) −18.0087 + 5.21629i −0.710195 + 0.205711i −0.613604 0.789614i \(-0.710281\pi\)
−0.0965908 + 0.995324i \(0.530794\pi\)
\(644\) −20.9829 4.28369i −0.826842 0.168801i
\(645\) −1.99634 2.25340i −0.0786058 0.0887276i
\(646\) −0.391864 + 0.479946i −0.0154177 + 0.0188832i
\(647\) 0.839581 20.8340i 0.0330073 0.819069i −0.894902 0.446263i \(-0.852755\pi\)
0.927909 0.372806i \(-0.121604\pi\)
\(648\) 0.622069 + 1.86332i 0.0244372 + 0.0731983i
\(649\) 21.4255 18.9814i 0.841025 0.745083i
\(650\) 0.259166 0.360552i 0.0101653 0.0141420i
\(651\) −1.45503 1.28905i −0.0570272 0.0505217i
\(652\) −12.2751 + 28.8107i −0.480729 + 1.12831i
\(653\) 15.0205 26.0163i 0.587798 1.01810i −0.406722 0.913552i \(-0.633328\pi\)
0.994520 0.104544i \(-0.0333385\pi\)
\(654\) −0.116675 0.202087i −0.00456235 0.00790223i
\(655\) −28.5628 + 3.46815i −1.11604 + 0.135512i
\(656\) −28.1175 13.3419i −1.09781 0.520915i
\(657\) 24.4179 14.0977i 0.952632 0.550002i
\(658\) −1.11516 0.769736i −0.0434733 0.0300074i
\(659\) 17.8675 7.61262i 0.696018 0.296546i −0.0148311 0.999890i \(-0.504721\pi\)
0.710849 + 0.703344i \(0.248311\pi\)
\(660\) 5.28837 + 0.859444i 0.205850 + 0.0334538i
\(661\) 7.31613 9.73600i 0.284564 0.378687i −0.634415 0.772993i \(-0.718759\pi\)
0.918979 + 0.394306i \(0.129015\pi\)
\(662\) 0.652568 + 1.72068i 0.0253628 + 0.0668761i
\(663\) −5.27781 + 1.42016i −0.204973 + 0.0551544i
\(664\) 0.814613 2.14796i 0.0316131 0.0833570i
\(665\) −5.44320 8.60773i −0.211078 0.333793i
\(666\) −0.469019 0.199830i −0.0181741 0.00774327i
\(667\) −24.7706 15.6640i −0.959121 0.606511i
\(668\) −7.60435 0.923335i −0.294221 0.0357249i
\(669\) −2.03225 4.76986i −0.0785713 0.184414i
\(670\) −0.0629412 + 0.188532i −0.00243163 + 0.00728362i
\(671\) −49.2371 18.6732i −1.90078 0.720870i
\(672\) 0.702388 + 0.0567026i 0.0270952 + 0.00218735i
\(673\) −5.73226 + 19.7900i −0.220962 + 0.762850i 0.771057 + 0.636766i \(0.219728\pi\)
−0.992020 + 0.126084i \(0.959759\pi\)
\(674\) −1.75599 0.0707639i −0.0676381 0.00272572i
\(675\) 4.39897 0.169316
\(676\) 25.4106 5.24352i 0.977332 0.201674i
\(677\) 28.5207 1.09614 0.548070 0.836433i \(-0.315363\pi\)
0.548070 + 0.836433i \(0.315363\pi\)
\(678\) −0.488114 0.0196703i −0.0187459 0.000755434i
\(679\) −12.5957 + 43.4855i −0.483380 + 1.66882i
\(680\) −1.73640 0.140176i −0.0665877 0.00537552i
\(681\) 5.02744 + 1.90666i 0.192652 + 0.0730633i
\(682\) 0.168381 0.504364i 0.00644765 0.0193131i
\(683\) −2.54916 5.98309i −0.0975407 0.228937i 0.864060 0.503389i \(-0.167914\pi\)
−0.961601 + 0.274452i \(0.911503\pi\)
\(684\) 14.0797 + 1.70959i 0.538352 + 0.0653677i
\(685\) −25.7574 16.2880i −0.984141 0.622333i
\(686\) −1.18547 0.505083i −0.0452616 0.0192841i
\(687\) −5.19462 8.21463i −0.198187 0.313408i
\(688\) −6.12991 + 16.1632i −0.233700 + 0.616217i
\(689\) −14.9405 + 0.316695i −0.569188 + 0.0120651i
\(690\) −0.0731855 0.192974i −0.00278612 0.00734640i
\(691\) 12.8583 17.1113i 0.489154 0.650946i −0.485612 0.874175i \(-0.661403\pi\)
0.974766 + 0.223228i \(0.0716596\pi\)
\(692\) 20.2624 + 3.29297i 0.770262 + 0.125180i
\(693\) −23.5421 + 10.0303i −0.894289 + 0.381021i
\(694\) 0.748063 + 0.516351i 0.0283961 + 0.0196004i
\(695\) −7.77332 + 4.48793i −0.294859 + 0.170237i
\(696\) 0.580630 + 0.275513i 0.0220087 + 0.0104433i
\(697\) 29.9124 3.63203i 1.13301 0.137573i
\(698\) 0.352301 + 0.610203i 0.0133348 + 0.0230965i
\(699\) −2.28458 + 3.95701i −0.0864108 + 0.149668i
\(700\) −3.46756 + 8.13865i −0.131061 + 0.307612i
\(701\) −7.10268 6.29243i −0.268265 0.237662i 0.518256 0.855225i \(-0.326581\pi\)
−0.786521 + 0.617564i \(0.788120\pi\)
\(702\) −0.393587 0.362326i −0.0148550 0.0136751i
\(703\) −5.19886 + 4.60579i −0.196079 + 0.173711i
\(704\) −9.70140 29.0592i −0.365635 1.09521i
\(705\) −0.252644 + 6.26929i −0.00951511 + 0.236115i
\(706\) 0.341079 0.417746i 0.0128367 0.0157221i
\(707\) 5.08479 + 5.73954i 0.191233 + 0.215858i
\(708\) −5.68558 1.16072i −0.213677 0.0436225i
\(709\) 45.2494 13.1066i 1.69938 0.492230i 0.719949 0.694027i \(-0.244165\pi\)
0.979427 + 0.201797i \(0.0646782\pi\)
\(710\) 0.105143 0.0398753i 0.00394593 0.00149649i
\(711\) 1.95609 + 48.5399i 0.0733592 + 1.82039i
\(712\) −0.00389753 0.00292880i −0.000146066 0.000109762i
\(713\) 9.64271 1.96857i 0.361122 0.0737236i
\(714\) −0.200670 + 0.105319i −0.00750987 + 0.00394148i
\(715\) 23.1389 8.27392i 0.865345 0.309427i
\(716\) −19.2849 10.1215i −0.720710 0.378258i
\(717\) −11.0090 3.18881i −0.411140 0.119088i
\(718\) 1.89917 0.153317i 0.0708765 0.00572175i
\(719\) 3.08203 15.0968i 0.114940 0.563014i −0.881009 0.473099i \(-0.843135\pi\)
0.995949 0.0899153i \(-0.0286596\pi\)
\(720\) 9.23687 + 17.5994i 0.344238 + 0.655891i
\(721\) −13.1823 17.5425i −0.490936 0.653317i
\(722\) 0.439545 0.695085i 0.0163582 0.0258684i
\(723\) −4.78313 + 3.30156i −0.177887 + 0.122786i
\(724\) −12.5282 + 26.4027i −0.465608 + 0.981249i
\(725\) −8.38658 + 8.73135i −0.311470 + 0.324274i
\(726\) 0.0739039 + 0.0709857i 0.00274283 + 0.00263452i
\(727\) −3.07147 25.2958i −0.113914 0.938170i −0.931846 0.362854i \(-0.881802\pi\)
0.817932 0.575316i \(-0.195121\pi\)
\(728\) 1.96324 0.886076i 0.0727626 0.0328402i
\(729\) −2.28777 + 18.8415i −0.0847324 + 0.697834i
\(730\) −0.869645 + 0.710043i −0.0321870 + 0.0262799i
\(731\) −3.34774 16.3983i −0.123821 0.606514i
\(732\) 2.97006 + 10.2538i 0.109777 + 0.378993i
\(733\) −2.46957 10.0195i −0.0912158 0.370077i 0.907539 0.419968i \(-0.137959\pi\)
−0.998755 + 0.0498911i \(0.984113\pi\)
\(734\) 0.0480387 0.595066i 0.00177314 0.0219643i
\(735\) 0.179796 + 1.10633i 0.00663189 + 0.0408077i
\(736\) −2.36577 + 2.67040i −0.0872034 + 0.0984323i
\(737\) 5.43937 4.08742i 0.200362 0.150562i
\(738\) 0.907892 + 1.11197i 0.0334200 + 0.0409320i
\(739\) −6.26830 + 38.5704i −0.230583 + 1.41883i 0.571000 + 0.820950i \(0.306556\pi\)
−0.801583 + 0.597884i \(0.796008\pi\)
\(740\) −9.47041 2.33425i −0.348139 0.0858086i
\(741\) −3.28949 + 1.32794i −0.120843 + 0.0487832i
\(742\) −0.601641 + 0.148291i −0.0220869 + 0.00544394i
\(743\) −2.61524 32.3956i −0.0959438 1.18848i −0.848225 0.529636i \(-0.822329\pi\)
0.752281 0.658842i \(-0.228953\pi\)
\(744\) −0.204707 + 0.0683413i −0.00750493 + 0.00250551i
\(745\) 4.94726 + 5.15064i 0.181253 + 0.188705i
\(746\) 0.645708i 0.0236411i
\(747\) 18.3017 17.5791i 0.669626 0.643184i
\(748\) 23.0722 + 18.8378i 0.843602 + 0.688780i
\(749\) −2.01586 + 3.84090i −0.0736579 + 0.140343i
\(750\) −0.304349 + 0.0494615i −0.0111133 + 0.00180608i
\(751\) −7.48295 + 4.73193i −0.273057 + 0.172671i −0.663975 0.747755i \(-0.731132\pi\)
0.390918 + 0.920425i \(0.372158\pi\)
\(752\) 32.5494 15.4449i 1.18695 0.563217i
\(753\) −1.43442 + 2.07812i −0.0522732 + 0.0757309i
\(754\) 1.46954 0.0904474i 0.0535173 0.00329390i
\(755\) −2.34189 3.39282i −0.0852302 0.123477i
\(756\) 9.23034 + 5.32914i 0.335704 + 0.193819i
\(757\) −11.7774 24.8204i −0.428058 0.902113i −0.996826 0.0796151i \(-0.974631\pi\)
0.568768 0.822498i \(-0.307420\pi\)
\(758\) 0.0778132 + 0.0259779i 0.00282630 + 0.000943558i
\(759\) −1.69076 + 6.85968i −0.0613707 + 0.248991i
\(760\) −1.12976 + 0.0455278i −0.0409807 + 0.00165147i
\(761\) −20.2110 + 0.814475i −0.732648 + 0.0295247i −0.403786 0.914853i \(-0.632306\pi\)
−0.328862 + 0.944378i \(0.606665\pi\)
\(762\) −0.0742088 + 0.301077i −0.00268830 + 0.0109069i
\(763\) 20.2259 + 6.75241i 0.732228 + 0.244454i
\(764\) −17.7920 37.4959i −0.643692 1.35655i
\(765\) −16.6655 &minu