Properties

Label 162.2.g.a.103.2
Level $162$
Weight $2$
Character 162.103
Analytic conductor $1.294$
Analytic rank $0$
Dimension $72$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), 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: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(4\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 103.2
Character \(\chi\) \(=\) 162.103
Dual form 162.2.g.a.151.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.686242 + 0.727374i) q^{2} +(-0.301962 + 1.70553i) q^{3} +(-0.0581448 + 0.998308i) q^{4} +(1.83788 - 0.214818i) q^{5} +(-1.44777 + 0.950764i) q^{6} +(-0.0854199 - 0.0428995i) q^{7} +(-0.766044 + 0.642788i) q^{8} +(-2.81764 - 1.03001i) q^{9} +O(q^{10})\) \(q+(0.686242 + 0.727374i) q^{2} +(-0.301962 + 1.70553i) q^{3} +(-0.0581448 + 0.998308i) q^{4} +(1.83788 - 0.214818i) q^{5} +(-1.44777 + 0.950764i) q^{6} +(-0.0854199 - 0.0428995i) q^{7} +(-0.766044 + 0.642788i) q^{8} +(-2.81764 - 1.03001i) q^{9} +(1.41748 + 1.18941i) q^{10} +(0.254448 + 0.589876i) q^{11} +(-1.68508 - 0.400618i) q^{12} +(-1.34720 - 0.319292i) q^{13} +(-0.0274147 - 0.0915716i) q^{14} +(-0.188593 + 3.19942i) q^{15} +(-0.993238 - 0.116093i) q^{16} +(0.845419 - 4.79461i) q^{17} +(-1.18438 - 2.75631i) q^{18} +(0.680482 + 3.85921i) q^{19} +(0.107591 + 1.84726i) q^{20} +(0.0989597 - 0.132732i) q^{21} +(-0.254448 + 0.589876i) q^{22} +(6.15084 - 3.08907i) q^{23} +(-0.864975 - 1.50061i) q^{24} +(-1.53356 + 0.363461i) q^{25} +(-0.692260 - 1.19903i) q^{26} +(2.60752 - 4.49453i) q^{27} +(0.0477936 - 0.0827810i) q^{28} +(1.82044 - 6.08068i) q^{29} +(-2.45660 + 2.05840i) q^{30} +(0.00237360 + 0.00156114i) q^{31} +(-0.597159 - 0.802123i) q^{32} +(-1.08288 + 0.255847i) q^{33} +(4.06763 - 2.67532i) q^{34} +(-0.166207 - 0.0604945i) q^{35} +(1.19210 - 2.75298i) q^{36} +(4.08936 - 1.48841i) q^{37} +(-2.34011 + 3.14331i) q^{38} +(0.951365 - 2.20127i) q^{39} +(-1.26982 + 1.34593i) q^{40} +(5.48346 - 5.81212i) q^{41} +(0.164456 - 0.0191054i) q^{42} +(-6.66233 + 8.94907i) q^{43} +(-0.603673 + 0.219719i) q^{44} +(-5.39975 - 1.28775i) q^{45} +(6.46787 + 2.35411i) q^{46} +(-7.83630 + 5.15401i) q^{47} +(0.497919 - 1.65894i) q^{48} +(-4.17465 - 5.60753i) q^{49} +(-1.31677 - 0.866050i) q^{50} +(7.92205 + 2.88967i) q^{51} +(0.397085 - 1.32636i) q^{52} +(-5.22121 + 9.04341i) q^{53} +(5.05860 - 1.18769i) q^{54} +(0.594361 + 1.02946i) q^{55} +(0.0930107 - 0.0220439i) q^{56} +(-6.78746 - 0.00475209i) q^{57} +(5.67219 - 2.84868i) q^{58} +(1.22224 - 2.83346i) q^{59} +(-3.18304 - 0.374304i) q^{60} +(0.152155 + 2.61240i) q^{61} +(0.000493330 + 0.00279781i) q^{62} +(0.196496 + 0.208858i) q^{63} +(0.173648 - 0.984808i) q^{64} +(-2.54459 - 0.297419i) q^{65} +(-0.929216 - 0.612088i) q^{66} +(-2.24149 - 7.48709i) q^{67} +(4.73734 + 1.12277i) q^{68} +(3.41117 + 11.4232i) q^{69} +(-0.0700562 - 0.162409i) q^{70} +(-6.01585 - 5.04790i) q^{71} +(2.82051 - 1.02211i) q^{72} +(-5.97101 + 5.01027i) q^{73} +(3.88892 + 1.95309i) q^{74} +(-0.156815 - 2.72528i) q^{75} +(-3.89224 + 0.454938i) q^{76} +(0.00357048 - 0.0613028i) q^{77} +(2.25401 - 0.818607i) q^{78} +(7.38094 + 7.82334i) q^{79} -1.85039 q^{80} +(6.87817 + 5.80437i) q^{81} +7.99056 q^{82} +(-1.46065 - 1.54820i) q^{83} +(0.126753 + 0.106510i) q^{84} +(0.523814 - 8.99354i) q^{85} +(-11.0813 + 1.29522i) q^{86} +(9.82106 + 4.94094i) q^{87} +(-0.574084 - 0.288316i) q^{88} +(-3.99341 + 3.35087i) q^{89} +(-2.76886 - 4.81135i) q^{90} +(0.101380 + 0.0850681i) q^{91} +(2.72620 + 6.32005i) q^{92} +(-0.00337930 + 0.00357683i) q^{93} +(-9.12649 - 2.16302i) q^{94} +(2.07967 + 6.94659i) q^{95} +(1.54836 - 0.776259i) q^{96} +(-16.4189 - 1.91909i) q^{97} +(1.21395 - 6.88466i) q^{98} +(-0.109365 - 1.92414i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 9 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 9 q^{6} + 18 q^{13} - 9 q^{20} - 81 q^{23} + 18 q^{25} - 27 q^{26} - 27 q^{27} + 18 q^{28} - 27 q^{29} - 63 q^{30} - 54 q^{31} + 9 q^{33} - 27 q^{35} - 9 q^{36} + 9 q^{38} - 9 q^{41} + 9 q^{42} + 36 q^{43} - 117 q^{45} - 18 q^{46} - 27 q^{47} + 9 q^{48} - 27 q^{51} - 36 q^{52} - 27 q^{53} + 54 q^{55} + 27 q^{57} + 9 q^{58} - 18 q^{59} + 9 q^{63} + 9 q^{65} + 36 q^{66} - 135 q^{67} - 18 q^{68} + 108 q^{69} + 18 q^{70} + 72 q^{71} + 54 q^{72} + 36 q^{73} + 99 q^{74} - 36 q^{75} - 9 q^{76} + 144 q^{77} + 90 q^{78} - 9 q^{79} + 18 q^{80} - 72 q^{82} + 99 q^{83} + 18 q^{84} + 9 q^{85} + 72 q^{86} + 207 q^{87} - 9 q^{88} + 126 q^{89} - 18 q^{90} + 63 q^{91} + 36 q^{92} + 81 q^{93} + 18 q^{94} + 45 q^{95} - 171 q^{97} + 36 q^{98} + 99 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{7}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.686242 + 0.727374i 0.485246 + 0.514331i
\(3\) −0.301962 + 1.70553i −0.174338 + 0.984686i
\(4\) −0.0581448 + 0.998308i −0.0290724 + 0.499154i
\(5\) 1.83788 0.214818i 0.821926 0.0960693i 0.305274 0.952265i \(-0.401252\pi\)
0.516652 + 0.856195i \(0.327178\pi\)
\(6\) −1.44777 + 0.950764i −0.591051 + 0.388148i
\(7\) −0.0854199 0.0428995i −0.0322857 0.0162145i 0.432583 0.901594i \(-0.357602\pi\)
−0.464869 + 0.885380i \(0.653899\pi\)
\(8\) −0.766044 + 0.642788i −0.270838 + 0.227260i
\(9\) −2.81764 1.03001i −0.939213 0.343336i
\(10\) 1.41748 + 1.18941i 0.448248 + 0.376124i
\(11\) 0.254448 + 0.589876i 0.0767189 + 0.177854i 0.952259 0.305291i \(-0.0987536\pi\)
−0.875540 + 0.483145i \(0.839494\pi\)
\(12\) −1.68508 0.400618i −0.486442 0.115649i
\(13\) −1.34720 0.319292i −0.373646 0.0885558i 0.0395022 0.999219i \(-0.487423\pi\)
−0.413148 + 0.910664i \(0.635571\pi\)
\(14\) −0.0274147 0.0915716i −0.00732689 0.0244735i
\(15\) −0.188593 + 3.19942i −0.0486945 + 0.826087i
\(16\) −0.993238 0.116093i −0.248310 0.0290232i
\(17\) 0.845419 4.79461i 0.205044 1.16286i −0.692326 0.721585i \(-0.743414\pi\)
0.897370 0.441279i \(-0.145475\pi\)
\(18\) −1.18438 2.75631i −0.279161 0.649668i
\(19\) 0.680482 + 3.85921i 0.156113 + 0.885363i 0.957761 + 0.287566i \(0.0928460\pi\)
−0.801648 + 0.597797i \(0.796043\pi\)
\(20\) 0.107591 + 1.84726i 0.0240580 + 0.413061i
\(21\) 0.0989597 0.132732i 0.0215948 0.0289645i
\(22\) −0.254448 + 0.589876i −0.0542485 + 0.125762i
\(23\) 6.15084 3.08907i 1.28254 0.644116i 0.328701 0.944434i \(-0.393389\pi\)
0.953839 + 0.300319i \(0.0970930\pi\)
\(24\) −0.864975 1.50061i −0.176562 0.306310i
\(25\) −1.53356 + 0.363461i −0.306712 + 0.0726921i
\(26\) −0.692260 1.19903i −0.135763 0.235149i
\(27\) 2.60752 4.49453i 0.501818 0.864973i
\(28\) 0.0477936 0.0827810i 0.00903214 0.0156441i
\(29\) 1.82044 6.08068i 0.338047 1.12915i −0.604925 0.796282i \(-0.706797\pi\)
0.942972 0.332872i \(-0.108018\pi\)
\(30\) −2.45660 + 2.05840i −0.448511 + 0.375811i
\(31\) 0.00237360 + 0.00156114i 0.000426311 + 0.000280389i 0.549722 0.835348i \(-0.314734\pi\)
−0.549296 + 0.835628i \(0.685104\pi\)
\(32\) −0.597159 0.802123i −0.105564 0.141797i
\(33\) −1.08288 + 0.255847i −0.188506 + 0.0445373i
\(34\) 4.06763 2.67532i 0.697593 0.458814i
\(35\) −0.166207 0.0604945i −0.0280941 0.0102254i
\(36\) 1.19210 2.75298i 0.198683 0.458830i
\(37\) 4.08936 1.48841i 0.672287 0.244693i 0.0167549 0.999860i \(-0.494667\pi\)
0.655532 + 0.755167i \(0.272444\pi\)
\(38\) −2.34011 + 3.14331i −0.379616 + 0.509913i
\(39\) 0.951365 2.20127i 0.152340 0.352486i
\(40\) −1.26982 + 1.34593i −0.200776 + 0.212810i
\(41\) 5.48346 5.81212i 0.856372 0.907701i −0.140226 0.990120i \(-0.544783\pi\)
0.996598 + 0.0824182i \(0.0262643\pi\)
\(42\) 0.164456 0.0191054i 0.0253761 0.00294803i
\(43\) −6.66233 + 8.94907i −1.01600 + 1.36472i −0.0863506 + 0.996265i \(0.527521\pi\)
−0.929646 + 0.368455i \(0.879887\pi\)
\(44\) −0.603673 + 0.219719i −0.0910072 + 0.0331239i
\(45\) −5.39975 1.28775i −0.804947 0.191967i
\(46\) 6.46787 + 2.35411i 0.953636 + 0.347095i
\(47\) −7.83630 + 5.15401i −1.14304 + 0.751790i −0.972349 0.233534i \(-0.924971\pi\)
−0.170693 + 0.985324i \(0.554601\pi\)
\(48\) 0.497919 1.65894i 0.0718685 0.239447i
\(49\) −4.17465 5.60753i −0.596379 0.801076i
\(50\) −1.31677 0.866050i −0.186219 0.122478i
\(51\) 7.92205 + 2.88967i 1.10931 + 0.404635i
\(52\) 0.397085 1.32636i 0.0550658 0.183933i
\(53\) −5.22121 + 9.04341i −0.717189 + 1.24221i 0.244920 + 0.969543i \(0.421238\pi\)
−0.962109 + 0.272664i \(0.912095\pi\)
\(54\) 5.05860 1.18769i 0.688388 0.161625i
\(55\) 0.594361 + 1.02946i 0.0801436 + 0.138813i
\(56\) 0.0930107 0.0220439i 0.0124291 0.00294574i
\(57\) −6.78746 0.00475209i −0.899021 0.000629430i
\(58\) 5.67219 2.84868i 0.744795 0.374050i
\(59\) 1.22224 2.83346i 0.159121 0.368885i −0.819940 0.572449i \(-0.805993\pi\)
0.979062 + 0.203564i \(0.0652526\pi\)
\(60\) −3.18304 0.374304i −0.410929 0.0483224i
\(61\) 0.152155 + 2.61240i 0.0194815 + 0.334484i 0.993941 + 0.109919i \(0.0350591\pi\)
−0.974459 + 0.224565i \(0.927904\pi\)
\(62\) 0.000493330 0.00279781i 6.26529e−5 0.000355323i
\(63\) 0.196496 + 0.208858i 0.0247561 + 0.0263137i
\(64\) 0.173648 0.984808i 0.0217060 0.123101i
\(65\) −2.54459 0.297419i −0.315617 0.0368903i
\(66\) −0.929216 0.612088i −0.114379 0.0753428i
\(67\) −2.24149 7.48709i −0.273841 0.914693i −0.978691 0.205337i \(-0.934171\pi\)
0.704850 0.709356i \(-0.251014\pi\)
\(68\) 4.73734 + 1.12277i 0.574487 + 0.136156i
\(69\) 3.41117 + 11.4232i 0.410657 + 1.37519i
\(70\) −0.0700562 0.162409i −0.00837332 0.0194115i
\(71\) −6.01585 5.04790i −0.713951 0.599076i 0.211754 0.977323i \(-0.432082\pi\)
−0.925705 + 0.378247i \(0.876527\pi\)
\(72\) 2.82051 1.02211i 0.332401 0.120457i
\(73\) −5.97101 + 5.01027i −0.698854 + 0.586408i −0.921447 0.388504i \(-0.872992\pi\)
0.222594 + 0.974911i \(0.428548\pi\)
\(74\) 3.88892 + 1.95309i 0.452078 + 0.227042i
\(75\) −0.156815 2.72528i −0.0181074 0.314688i
\(76\) −3.89224 + 0.454938i −0.446471 + 0.0521850i
\(77\) 0.00357048 0.0613028i 0.000406894 0.00698611i
\(78\) 2.25401 0.818607i 0.255217 0.0926890i
\(79\) 7.38094 + 7.82334i 0.830421 + 0.880195i 0.994336 0.106280i \(-0.0338938\pi\)
−0.163915 + 0.986474i \(0.552412\pi\)
\(80\) −1.85039 −0.206880
\(81\) 6.87817 + 5.80437i 0.764241 + 0.644930i
\(82\) 7.99056 0.882410
\(83\) −1.46065 1.54820i −0.160327 0.169937i 0.642230 0.766512i \(-0.278009\pi\)
−0.802557 + 0.596575i \(0.796528\pi\)
\(84\) 0.126753 + 0.106510i 0.0138299 + 0.0116212i
\(85\) 0.523814 8.99354i 0.0568156 0.975486i
\(86\) −11.0813 + 1.29522i −1.19493 + 0.139667i
\(87\) 9.82106 + 4.94094i 1.05293 + 0.529724i
\(88\) −0.574084 0.288316i −0.0611975 0.0307346i
\(89\) −3.99341 + 3.35087i −0.423300 + 0.355191i −0.829417 0.558630i \(-0.811327\pi\)
0.406117 + 0.913821i \(0.366883\pi\)
\(90\) −2.76886 4.81135i −0.291863 0.507160i
\(91\) 0.101380 + 0.0850681i 0.0106275 + 0.00891756i
\(92\) 2.72620 + 6.32005i 0.284226 + 0.658911i
\(93\) −0.00337930 + 0.00357683i −0.000350417 + 0.000370900i
\(94\) −9.12649 2.16302i −0.941325 0.223098i
\(95\) 2.07967 + 6.94659i 0.213370 + 0.712705i
\(96\) 1.54836 0.776259i 0.158029 0.0792266i
\(97\) −16.4189 1.91909i −1.66709 0.194855i −0.770413 0.637546i \(-0.779950\pi\)
−0.896674 + 0.442691i \(0.854024\pi\)
\(98\) 1.21395 6.88466i 0.122628 0.695455i
\(99\) −0.109365 1.92414i −0.0109916 0.193384i
\(100\) −0.273677 1.55210i −0.0273677 0.155210i
\(101\) 0.753338 + 12.9343i 0.0749600 + 1.28701i 0.800709 + 0.599053i \(0.204456\pi\)
−0.725749 + 0.687959i \(0.758507\pi\)
\(102\) 3.33457 + 7.74530i 0.330171 + 0.766899i
\(103\) −3.93939 + 9.13253i −0.388159 + 0.899855i 0.606349 + 0.795199i \(0.292633\pi\)
−0.994508 + 0.104656i \(0.966626\pi\)
\(104\) 1.23725 0.621372i 0.121323 0.0609305i
\(105\) 0.153363 0.265204i 0.0149667 0.0258812i
\(106\) −10.1610 + 2.40819i −0.986919 + 0.233904i
\(107\) 2.34543 + 4.06240i 0.226741 + 0.392727i 0.956840 0.290614i \(-0.0938595\pi\)
−0.730099 + 0.683341i \(0.760526\pi\)
\(108\) 4.33532 + 2.86444i 0.417166 + 0.275631i
\(109\) 6.87792 11.9129i 0.658785 1.14105i −0.322145 0.946690i \(-0.604404\pi\)
0.980930 0.194360i \(-0.0622629\pi\)
\(110\) −0.340929 + 1.13878i −0.0325063 + 0.108579i
\(111\) 1.30369 + 7.42396i 0.123740 + 0.704651i
\(112\) 0.0798620 + 0.0525260i 0.00754625 + 0.00496324i
\(113\) 3.48372 + 4.67944i 0.327721 + 0.440205i 0.935194 0.354135i \(-0.115225\pi\)
−0.607474 + 0.794340i \(0.707817\pi\)
\(114\) −4.65438 4.94028i −0.435923 0.462699i
\(115\) 10.6409 6.99865i 0.992273 0.652628i
\(116\) 5.96455 + 2.17092i 0.553794 + 0.201565i
\(117\) 3.46705 + 2.28728i 0.320529 + 0.211459i
\(118\) 2.89973 1.05542i 0.266942 0.0971589i
\(119\) −0.277902 + 0.373287i −0.0254752 + 0.0342191i
\(120\) −1.91208 2.57212i −0.174548 0.234802i
\(121\) 7.26545 7.70092i 0.660495 0.700084i
\(122\) −1.79578 + 1.90341i −0.162582 + 0.172327i
\(123\) 8.25694 + 11.1072i 0.744503 + 1.00150i
\(124\) −0.00169651 + 0.00227881i −0.000152351 + 0.000204643i
\(125\) −11.4344 + 4.16179i −1.02273 + 0.372242i
\(126\) −0.0170746 + 0.286253i −0.00152112 + 0.0255014i
\(127\) −20.5123 7.46588i −1.82018 0.662490i −0.995262 0.0972332i \(-0.969001\pi\)
−0.824915 0.565257i \(-0.808777\pi\)
\(128\) 0.835488 0.549509i 0.0738474 0.0485702i
\(129\) −13.2511 14.0651i −1.16669 1.23836i
\(130\) −1.52987 2.05497i −0.134178 0.180232i
\(131\) −3.99260 2.62598i −0.348835 0.229433i 0.362984 0.931795i \(-0.381758\pi\)
−0.711819 + 0.702363i \(0.752128\pi\)
\(132\) −0.192451 1.09593i −0.0167507 0.0953882i
\(133\) 0.107431 0.358845i 0.00931547 0.0311158i
\(134\) 3.90771 6.76835i 0.337575 0.584696i
\(135\) 3.82681 8.82056i 0.329360 0.759153i
\(136\) 2.43429 + 4.21631i 0.208738 + 0.361545i
\(137\) 14.3557 3.40236i 1.22649 0.290683i 0.434192 0.900820i \(-0.357034\pi\)
0.792296 + 0.610137i \(0.208886\pi\)
\(138\) −5.96805 + 10.3203i −0.508034 + 0.878520i
\(139\) 14.8523 7.45913i 1.25976 0.632675i 0.311522 0.950239i \(-0.399161\pi\)
0.948237 + 0.317564i \(0.102865\pi\)
\(140\) 0.0700562 0.162409i 0.00592083 0.0137260i
\(141\) −6.42404 14.9213i −0.541002 1.25660i
\(142\) −0.456620 7.83985i −0.0383187 0.657906i
\(143\) −0.154449 0.875925i −0.0129157 0.0732486i
\(144\) 2.67901 + 1.35015i 0.223251 + 0.112513i
\(145\) 2.03951 11.5666i 0.169372 0.960557i
\(146\) −7.74189 0.904897i −0.640724 0.0748898i
\(147\) 10.8244 5.42672i 0.892780 0.447588i
\(148\) 1.24811 + 4.16899i 0.102594 + 0.342689i
\(149\) 9.15970 + 2.17089i 0.750392 + 0.177846i 0.587978 0.808877i \(-0.299924\pi\)
0.162413 + 0.986723i \(0.448072\pi\)
\(150\) 1.87468 1.98426i 0.153067 0.162014i
\(151\) 3.34444 + 7.75329i 0.272167 + 0.630954i 0.998403 0.0564913i \(-0.0179913\pi\)
−0.726236 + 0.687445i \(0.758732\pi\)
\(152\) −3.00193 2.51892i −0.243489 0.204311i
\(153\) −7.32056 + 12.6387i −0.591833 + 1.02178i
\(154\) 0.0470403 0.0394715i 0.00379061 0.00318070i
\(155\) 0.00469775 + 0.00235930i 0.000377333 + 0.000189504i
\(156\) 2.14223 + 1.07775i 0.171516 + 0.0862889i
\(157\) 4.74920 0.555101i 0.379027 0.0443019i 0.0755535 0.997142i \(-0.475928\pi\)
0.303474 + 0.952840i \(0.401854\pi\)
\(158\) −0.625383 + 10.7374i −0.0497528 + 0.854222i
\(159\) −13.8472 11.6357i −1.09815 0.922769i
\(160\) −1.26982 1.34593i −0.100388 0.106405i
\(161\) −0.657924 −0.0518516
\(162\) 0.498139 + 8.98620i 0.0391375 + 0.706023i
\(163\) 8.48436 0.664547 0.332273 0.943183i \(-0.392184\pi\)
0.332273 + 0.943183i \(0.392184\pi\)
\(164\) 5.48346 + 5.81212i 0.428186 + 0.453851i
\(165\) −1.93525 + 0.702840i −0.150659 + 0.0547160i
\(166\) 0.123760 2.12488i 0.00960564 0.164922i
\(167\) −19.0481 + 2.22641i −1.47399 + 0.172285i −0.814822 0.579711i \(-0.803165\pi\)
−0.659168 + 0.751996i \(0.729091\pi\)
\(168\) 0.00951085 + 0.165289i 0.000733778 + 0.0127523i
\(169\) −9.90422 4.97409i −0.761863 0.382622i
\(170\) 6.90112 5.79073i 0.529292 0.444129i
\(171\) 2.05766 11.5747i 0.157353 0.885143i
\(172\) −8.54655 7.17140i −0.651668 0.546814i
\(173\) −1.82326 4.22678i −0.138620 0.321356i 0.834738 0.550647i \(-0.185619\pi\)
−0.973358 + 0.229290i \(0.926360\pi\)
\(174\) 3.14572 + 10.5343i 0.238476 + 0.798600i
\(175\) 0.146589 + 0.0347422i 0.0110811 + 0.00262626i
\(176\) −0.184247 0.615428i −0.0138881 0.0463896i
\(177\) 4.46347 + 2.94015i 0.335495 + 0.220995i
\(178\) −5.17777 0.605195i −0.388091 0.0453613i
\(179\) 4.23157 23.9984i 0.316282 1.79373i −0.248654 0.968592i \(-0.579988\pi\)
0.564937 0.825134i \(-0.308901\pi\)
\(180\) 1.59954 5.31574i 0.119223 0.396212i
\(181\) 1.52052 + 8.62329i 0.113019 + 0.640964i 0.987712 + 0.156286i \(0.0499522\pi\)
−0.874693 + 0.484678i \(0.838937\pi\)
\(182\) 0.00769503 + 0.132119i 0.000570394 + 0.00979328i
\(183\) −4.50147 0.529341i −0.332758 0.0391300i
\(184\) −2.72620 + 6.32005i −0.200978 + 0.465920i
\(185\) 7.19603 3.61398i 0.529063 0.265705i
\(186\) −0.00492071 3.44513e-6i −0.000360804 2.52609e-7i
\(187\) 3.04334 0.721285i 0.222551 0.0527456i
\(188\) −4.68965 8.12272i −0.342028 0.592410i
\(189\) −0.415547 + 0.272061i −0.0302266 + 0.0197895i
\(190\) −3.62561 + 6.27973i −0.263029 + 0.455580i
\(191\) 1.28389 4.28848i 0.0928988 0.310304i −0.898893 0.438169i \(-0.855627\pi\)
0.991792 + 0.127865i \(0.0408125\pi\)
\(192\) 1.62718 + 0.593536i 0.117432 + 0.0428347i
\(193\) 3.74426 + 2.46264i 0.269518 + 0.177264i 0.677073 0.735916i \(-0.263248\pi\)
−0.407555 + 0.913181i \(0.633619\pi\)
\(194\) −9.87143 13.2596i −0.708728 0.951987i
\(195\) 1.27562 4.25005i 0.0913493 0.304352i
\(196\) 5.84078 3.84154i 0.417199 0.274396i
\(197\) 9.23931 + 3.36283i 0.658274 + 0.239592i 0.649491 0.760369i \(-0.274982\pi\)
0.00878277 + 0.999961i \(0.497204\pi\)
\(198\) 1.32452 1.39998i 0.0941295 0.0994919i
\(199\) −7.93930 + 2.88967i −0.562802 + 0.204843i −0.607725 0.794147i \(-0.707918\pi\)
0.0449233 + 0.998990i \(0.485696\pi\)
\(200\) 0.941148 1.26418i 0.0665492 0.0893911i
\(201\) 13.4463 1.56210i 0.948427 0.110182i
\(202\) −8.89111 + 9.42403i −0.625576 + 0.663072i
\(203\) −0.416360 + 0.441315i −0.0292227 + 0.0309743i
\(204\) −3.34541 + 7.74062i −0.234225 + 0.541952i
\(205\) 8.82940 11.8599i 0.616672 0.828334i
\(206\) −9.34613 + 3.40171i −0.651176 + 0.237009i
\(207\) −20.5126 + 2.36847i −1.42573 + 0.164620i
\(208\) 1.30102 + 0.473534i 0.0902098 + 0.0328337i
\(209\) −2.10331 + 1.38337i −0.145489 + 0.0956895i
\(210\) 0.298146 0.0704415i 0.0205740 0.00486093i
\(211\) 12.6849 + 17.0387i 0.873262 + 1.17300i 0.983826 + 0.179126i \(0.0573270\pi\)
−0.110564 + 0.993869i \(0.535266\pi\)
\(212\) −8.72452 5.73821i −0.599203 0.394102i
\(213\) 10.4259 8.73592i 0.714370 0.598576i
\(214\) −1.34535 + 4.49379i −0.0919665 + 0.307189i
\(215\) −10.3222 + 17.8785i −0.703966 + 1.21930i
\(216\) 0.891552 + 5.11910i 0.0606625 + 0.348310i
\(217\) −0.000135780 0 0.000235179i −9.21737e−6 0 1.59650e-5i
\(218\) 13.3851 3.17232i 0.906550 0.214856i
\(219\) −6.74213 11.6966i −0.455591 0.790384i
\(220\) −1.06228 + 0.533497i −0.0716190 + 0.0359684i
\(221\) −2.66983 + 6.18937i −0.179592 + 0.416342i
\(222\) −4.50535 + 6.04290i −0.302379 + 0.405573i
\(223\) 1.64105 + 28.1757i 0.109893 + 1.88679i 0.381485 + 0.924375i \(0.375413\pi\)
−0.271592 + 0.962412i \(0.587550\pi\)
\(224\) 0.0165985 + 0.0941350i 0.00110904 + 0.00628966i
\(225\) 4.69539 + 0.555478i 0.313026 + 0.0370318i
\(226\) −1.01303 + 5.74519i −0.0673859 + 0.382165i
\(227\) −6.40577 0.748727i −0.425166 0.0496948i −0.0991802 0.995069i \(-0.531622\pi\)
−0.325986 + 0.945375i \(0.605696\pi\)
\(228\) 0.399400 6.77570i 0.0264509 0.448732i
\(229\) 3.59448 + 12.0064i 0.237530 + 0.793405i 0.990758 + 0.135645i \(0.0433106\pi\)
−0.753228 + 0.657760i \(0.771504\pi\)
\(230\) 12.3929 + 2.93717i 0.817163 + 0.193671i
\(231\) 0.103475 + 0.0246007i 0.00680818 + 0.00161860i
\(232\) 2.51405 + 5.82823i 0.165056 + 0.382642i
\(233\) 12.4844 + 10.4756i 0.817878 + 0.686281i 0.952474 0.304620i \(-0.0985293\pi\)
−0.134596 + 0.990901i \(0.542974\pi\)
\(234\) 0.715530 + 4.09147i 0.0467757 + 0.267468i
\(235\) −13.2950 + 11.1558i −0.867271 + 0.727727i
\(236\) 2.75760 + 1.38492i 0.179504 + 0.0901505i
\(237\) −15.5717 + 10.2260i −1.01149 + 0.664253i
\(238\) −0.462227 + 0.0540266i −0.0299617 + 0.00350202i
\(239\) 0.995746 17.0963i 0.0644095 1.10587i −0.798989 0.601345i \(-0.794632\pi\)
0.863399 0.504522i \(-0.168331\pi\)
\(240\) 0.558748 3.15589i 0.0360670 0.203712i
\(241\) 18.0715 + 19.1546i 1.16409 + 1.23386i 0.967361 + 0.253401i \(0.0815491\pi\)
0.196725 + 0.980459i \(0.436969\pi\)
\(242\) 10.5873 0.680578
\(243\) −11.9765 + 9.97820i −0.768290 + 0.640102i
\(244\) −2.61683 −0.167525
\(245\) −8.87712 9.40920i −0.567138 0.601131i
\(246\) −2.41284 + 13.6281i −0.153837 + 0.868897i
\(247\) 0.315469 5.41640i 0.0200728 0.344637i
\(248\) −0.00282176 0.000329817i −0.000179182 2.09434e-5i
\(249\) 3.08155 2.02368i 0.195286 0.128246i
\(250\) −10.8740 5.46111i −0.687730 0.345391i
\(251\) 3.95236 3.31643i 0.249471 0.209331i −0.509474 0.860486i \(-0.670160\pi\)
0.758944 + 0.651155i \(0.225715\pi\)
\(252\) −0.219930 + 0.184019i −0.0138543 + 0.0115921i
\(253\) 3.38724 + 2.84223i 0.212954 + 0.178690i
\(254\) −8.64594 20.0435i −0.542495 1.25764i
\(255\) 15.1805 + 3.60908i 0.950642 + 0.226009i
\(256\) 0.973045 + 0.230616i 0.0608153 + 0.0144135i
\(257\) 8.49061 + 28.3606i 0.529630 + 1.76909i 0.632684 + 0.774410i \(0.281953\pi\)
−0.103055 + 0.994676i \(0.532862\pi\)
\(258\) 1.13710 19.2905i 0.0707926 1.20098i
\(259\) −0.413165 0.0482920i −0.0256728 0.00300072i
\(260\) 0.444871 2.52299i 0.0275897 0.156469i
\(261\) −11.3925 + 15.2581i −0.705177 + 0.944453i
\(262\) −0.829824 4.70617i −0.0512667 0.290748i
\(263\) −0.0529456 0.909040i −0.00326476 0.0560538i 0.996282 0.0861488i \(-0.0274561\pi\)
−0.999547 + 0.0300950i \(0.990419\pi\)
\(264\) 0.665081 0.892054i 0.0409329 0.0549022i
\(265\) −7.65329 + 17.7423i −0.470138 + 1.08990i
\(266\) 0.334738 0.168112i 0.0205241 0.0103076i
\(267\) −4.50914 7.82269i −0.275955 0.478741i
\(268\) 7.60475 1.80236i 0.464534 0.110097i
\(269\) 3.31673 + 5.74474i 0.202224 + 0.350263i 0.949245 0.314538i \(-0.101850\pi\)
−0.747020 + 0.664801i \(0.768516\pi\)
\(270\) 9.04196 3.26951i 0.550276 0.198976i
\(271\) −4.24842 + 7.35848i −0.258073 + 0.446996i −0.965726 0.259565i \(-0.916421\pi\)
0.707653 + 0.706561i \(0.249754\pi\)
\(272\) −1.39632 + 4.66404i −0.0846645 + 0.282799i
\(273\) −0.175699 + 0.147219i −0.0106338 + 0.00891012i
\(274\) 12.3262 + 8.10710i 0.744656 + 0.489768i
\(275\) −0.604608 0.812130i −0.0364592 0.0489733i
\(276\) −11.6022 + 2.74120i −0.698372 + 0.165001i
\(277\) 20.7636 13.6564i 1.24756 0.820535i 0.258213 0.966088i \(-0.416866\pi\)
0.989351 + 0.145553i \(0.0464960\pi\)
\(278\) 15.6179 + 5.68444i 0.936697 + 0.340930i
\(279\) −0.00507996 0.00684355i −0.000304129 0.000409713i
\(280\) 0.166207 0.0604945i 0.00993278 0.00361524i
\(281\) 8.51787 11.4415i 0.508134 0.682542i −0.471836 0.881686i \(-0.656409\pi\)
0.979970 + 0.199144i \(0.0638161\pi\)
\(282\) 6.44493 14.9123i 0.383790 0.888015i
\(283\) 2.78315 2.94997i 0.165441 0.175357i −0.639349 0.768917i \(-0.720796\pi\)
0.804790 + 0.593559i \(0.202278\pi\)
\(284\) 5.38915 5.71217i 0.319787 0.338955i
\(285\) −12.4756 + 1.44933i −0.738989 + 0.0858510i
\(286\) 0.531136 0.713439i 0.0314067 0.0421865i
\(287\) −0.717733 + 0.261234i −0.0423665 + 0.0154201i
\(288\) 0.856385 + 2.87517i 0.0504629 + 0.169421i
\(289\) −6.29876 2.29256i −0.370516 0.134857i
\(290\) 9.81287 6.45402i 0.576231 0.378993i
\(291\) 8.23094 27.4234i 0.482506 1.60759i
\(292\) −4.65461 6.25223i −0.272390 0.365884i
\(293\) 0.871473 + 0.573177i 0.0509120 + 0.0334853i 0.574710 0.818357i \(-0.305115\pi\)
−0.523798 + 0.851843i \(0.675485\pi\)
\(294\) 11.3754 + 4.14933i 0.663426 + 0.241994i
\(295\) 1.63765 5.47012i 0.0953475 0.318483i
\(296\) −2.17591 + 3.76878i −0.126472 + 0.219056i
\(297\) 3.31470 + 0.394492i 0.192338 + 0.0228907i
\(298\) 4.70672 + 8.15228i 0.272653 + 0.472249i
\(299\) −9.27274 + 2.19768i −0.536256 + 0.127095i
\(300\) 2.72979 + 0.00191120i 0.157604 + 0.000110343i
\(301\) 0.953006 0.478617i 0.0549303 0.0275871i
\(302\) −3.34444 + 7.75329i −0.192451 + 0.446152i
\(303\) −22.2873 2.62083i −1.28037 0.150563i
\(304\) −0.227855 3.91211i −0.0130684 0.224375i
\(305\) 0.840834 + 4.76860i 0.0481460 + 0.273049i
\(306\) −14.2167 + 3.34841i −0.812716 + 0.191416i
\(307\) 1.21262 6.87713i 0.0692081 0.392499i −0.930452 0.366415i \(-0.880585\pi\)
0.999660 0.0260839i \(-0.00830371\pi\)
\(308\) 0.0609915 + 0.00712889i 0.00347531 + 0.000406206i
\(309\) −14.3862 9.47640i −0.818403 0.539094i
\(310\) 0.00150770 + 0.00503607i 8.56317e−5 + 0.000286030i
\(311\) −26.8911 6.37331i −1.52486 0.361397i −0.619139 0.785282i \(-0.712518\pi\)
−0.905716 + 0.423884i \(0.860666\pi\)
\(312\) 0.686163 + 2.29780i 0.0388463 + 0.130087i
\(313\) −8.14092 18.8728i −0.460152 1.06675i −0.977492 0.210972i \(-0.932337\pi\)
0.517340 0.855780i \(-0.326922\pi\)
\(314\) 3.66286 + 3.07351i 0.206707 + 0.173448i
\(315\) 0.406002 + 0.341646i 0.0228756 + 0.0192496i
\(316\) −8.23927 + 6.91357i −0.463495 + 0.388919i
\(317\) −6.91037 3.47052i −0.388125 0.194924i 0.244026 0.969769i \(-0.421532\pi\)
−0.632151 + 0.774845i \(0.717828\pi\)
\(318\) −1.03901 18.0569i −0.0582650 1.01258i
\(319\) 4.05006 0.473384i 0.226760 0.0265044i
\(320\) 0.107591 1.84726i 0.00601451 0.103265i
\(321\) −7.63676 + 2.77350i −0.426243 + 0.154802i
\(322\) −0.451495 0.478556i −0.0251608 0.0266689i
\(323\) 19.0787 1.06157
\(324\) −6.19448 + 6.52904i −0.344138 + 0.362724i
\(325\) 2.18206 0.121039
\(326\) 5.82232 + 6.17130i 0.322469 + 0.341797i
\(327\) 18.2409 + 15.3277i 1.00872 + 0.847625i
\(328\) −0.464610 + 7.97704i −0.0256538 + 0.440459i
\(329\) 0.890480 0.104082i 0.0490937 0.00573824i
\(330\) −1.83928 0.925333i −0.101249 0.0509379i
\(331\) −16.6330 8.35342i −0.914234 0.459146i −0.0714787 0.997442i \(-0.522772\pi\)
−0.842756 + 0.538296i \(0.819068\pi\)
\(332\) 1.63051 1.36816i 0.0894858 0.0750875i
\(333\) −13.0554 0.0182810i −0.715432 0.00100179i
\(334\) −14.6911 12.3273i −0.803859 0.674518i
\(335\) −5.72795 13.2789i −0.312951 0.725502i
\(336\) −0.113700 + 0.120346i −0.00620283 + 0.00656540i
\(337\) −20.7662 4.92168i −1.13121 0.268101i −0.377949 0.925826i \(-0.623370\pi\)
−0.753258 + 0.657726i \(0.771519\pi\)
\(338\) −3.17867 10.6175i −0.172897 0.577516i
\(339\) −9.03286 + 4.52856i −0.490598 + 0.245957i
\(340\) 8.94786 + 1.04586i 0.485266 + 0.0567195i
\(341\) −0.000316923 0.00179736i −1.71623e−5 9.73324e-5i
\(342\) 9.83122 6.44639i 0.531611 0.348581i
\(343\) 0.232228 + 1.31703i 0.0125391 + 0.0711130i
\(344\) −0.648706 11.1378i −0.0349759 0.600512i
\(345\) 8.72323 + 20.2617i 0.469643 + 1.09085i
\(346\) 1.82326 4.22678i 0.0980189 0.227233i
\(347\) 3.44661 1.73095i 0.185024 0.0929225i −0.353876 0.935292i \(-0.615136\pi\)
0.538900 + 0.842370i \(0.318840\pi\)
\(348\) −5.50362 + 9.51716i −0.295025 + 0.510173i
\(349\) 3.81710 0.904669i 0.204325 0.0484258i −0.127179 0.991880i \(-0.540592\pi\)
0.331504 + 0.943454i \(0.392444\pi\)
\(350\) 0.0753248 + 0.130466i 0.00402628 + 0.00697372i
\(351\) −4.94793 + 5.22248i −0.264101 + 0.278755i
\(352\) 0.321208 0.556348i 0.0171204 0.0296535i
\(353\) 8.33521 27.8415i 0.443638 1.48186i −0.385445 0.922731i \(-0.625952\pi\)
0.829084 0.559125i \(-0.188863\pi\)
\(354\) 0.924432 + 5.26426i 0.0491330 + 0.279793i
\(355\) −12.1408 7.98514i −0.644367 0.423807i
\(356\) −3.11300 4.18149i −0.164989 0.221618i
\(357\) −0.552735 0.586687i −0.0292538 0.0310508i
\(358\) 20.3597 13.3908i 1.07604 0.707725i
\(359\) 6.34158 + 2.30815i 0.334696 + 0.121819i 0.503901 0.863762i \(-0.331898\pi\)
−0.169205 + 0.985581i \(0.554120\pi\)
\(360\) 4.96420 2.48442i 0.261636 0.130940i
\(361\) 3.42374 1.24614i 0.180197 0.0655863i
\(362\) −5.22891 + 7.02365i −0.274826 + 0.369155i
\(363\) 10.9402 + 14.7168i 0.574214 + 0.772431i
\(364\) −0.0908189 + 0.0962625i −0.00476021 + 0.00504552i
\(365\) −9.89771 + 10.4910i −0.518070 + 0.549122i
\(366\) −2.70407 3.63750i −0.141344 0.190135i
\(367\) 6.81775 9.15782i 0.355884 0.478035i −0.587742 0.809048i \(-0.699983\pi\)
0.943626 + 0.331014i \(0.107391\pi\)
\(368\) −6.46787 + 2.35411i −0.337161 + 0.122717i
\(369\) −21.4369 + 10.7285i −1.11596 + 0.558502i
\(370\) 7.56693 + 2.75414i 0.393386 + 0.143181i
\(371\) 0.833953 0.548499i 0.0432967 0.0284767i
\(372\) −0.00337429 0.00358156i −0.000174949 0.000185695i
\(373\) 13.0936 + 17.5877i 0.677960 + 0.910658i 0.999341 0.0362917i \(-0.0115545\pi\)
−0.321381 + 0.946950i \(0.604147\pi\)
\(374\) 2.61311 + 1.71867i 0.135121 + 0.0888703i
\(375\) −3.64529 20.7584i −0.188242 1.07196i
\(376\) 2.69002 8.98528i 0.138727 0.463380i
\(377\) −4.39401 + 7.61065i −0.226303 + 0.391968i
\(378\) −0.483056 0.115558i −0.0248457 0.00594369i
\(379\) −0.853488 1.47829i −0.0438408 0.0759344i 0.843272 0.537486i \(-0.180626\pi\)
−0.887113 + 0.461552i \(0.847293\pi\)
\(380\) −7.05576 + 1.67224i −0.361953 + 0.0857844i
\(381\) 18.9272 32.7299i 0.969670 1.67681i
\(382\) 4.00038 2.00907i 0.204677 0.102793i
\(383\) −7.89013 + 18.2914i −0.403167 + 0.934646i 0.588815 + 0.808268i \(0.299595\pi\)
−0.991982 + 0.126378i \(0.959665\pi\)
\(384\) 0.684917 + 1.59088i 0.0349520 + 0.0811841i
\(385\) −0.00660680 0.113434i −0.000336714 0.00578115i
\(386\) 0.778208 + 4.41344i 0.0396098 + 0.224638i
\(387\) 27.9896 18.3530i 1.42279 0.932935i
\(388\) 2.87052 16.2795i 0.145729 0.826468i
\(389\) 7.38106 + 0.862722i 0.374235 + 0.0437418i 0.301131 0.953583i \(-0.402636\pi\)
0.0731032 + 0.997324i \(0.476710\pi\)
\(390\) 3.96676 1.98870i 0.200865 0.100702i
\(391\) −9.61084 32.1024i −0.486041 1.62349i
\(392\) 6.80242 + 1.61220i 0.343574 + 0.0814286i
\(393\) 5.68428 6.01654i 0.286734 0.303494i
\(394\) 3.89436 + 9.02815i 0.196195 + 0.454831i
\(395\) 15.2459 + 12.7928i 0.767104 + 0.643677i
\(396\) 1.92725 + 0.00269864i 0.0968477 + 0.000135612i
\(397\) 7.09210 5.95098i 0.355942 0.298671i −0.447229 0.894420i \(-0.647589\pi\)
0.803171 + 0.595749i \(0.203145\pi\)
\(398\) −7.55015 3.79183i −0.378455 0.190067i
\(399\) 0.579580 + 0.291584i 0.0290153 + 0.0145975i
\(400\) 1.56539 0.182967i 0.0782693 0.00914837i
\(401\) 1.79505 30.8199i 0.0896407 1.53907i −0.591130 0.806576i \(-0.701318\pi\)
0.680771 0.732496i \(-0.261645\pi\)
\(402\) 10.3636 + 8.70848i 0.516890 + 0.434340i
\(403\) −0.00269925 0.00286104i −0.000134459 0.000142519i
\(404\) −12.9562 −0.644597
\(405\) 13.8881 + 9.19020i 0.690108 + 0.456665i
\(406\) −0.606724 −0.0301112
\(407\) 1.91851 + 2.03350i 0.0950968 + 0.100797i
\(408\) −7.92608 + 2.87858i −0.392400 + 0.142511i
\(409\) −1.96913 + 33.8086i −0.0973670 + 1.67173i 0.497166 + 0.867656i \(0.334374\pi\)
−0.594533 + 0.804071i \(0.702663\pi\)
\(410\) 14.6857 1.71651i 0.725276 0.0847726i
\(411\) 1.46795 + 25.5114i 0.0724085 + 1.25838i
\(412\) −8.88802 4.46373i −0.437881 0.219912i
\(413\) −0.225957 + 0.189600i −0.0111186 + 0.00932963i
\(414\) −15.7994 13.2950i −0.776497 0.653413i
\(415\) −3.01708 2.53163i −0.148103 0.124273i
\(416\) 0.548381 + 1.27129i 0.0268866 + 0.0623301i
\(417\) 8.23690 + 27.5834i 0.403363 + 1.35077i
\(418\) −2.44960 0.580566i −0.119814 0.0283964i
\(419\) −2.43636 8.13801i −0.119024 0.397568i 0.877627 0.479345i \(-0.159126\pi\)
−0.996651 + 0.0817769i \(0.973941\pi\)
\(420\) 0.255838 + 0.168524i 0.0124836 + 0.00822312i
\(421\) −29.0779 3.39872i −1.41717 0.165644i −0.627234 0.778831i \(-0.715813\pi\)
−0.789937 + 0.613188i \(0.789887\pi\)
\(422\) −3.68864 + 20.9193i −0.179560 + 1.01834i
\(423\) 27.3885 6.45071i 1.33168 0.313644i
\(424\) −1.81331 10.2838i −0.0880621 0.499425i
\(425\) 0.446150 + 7.66010i 0.0216415 + 0.371569i
\(426\) 13.5090 + 1.58856i 0.654511 + 0.0769659i
\(427\) 0.0990737 0.229679i 0.00479451 0.0111149i
\(428\) −4.19190 + 2.10525i −0.202623 + 0.101761i
\(429\) 1.54055 + 0.00107858i 0.0743785 + 5.20745e-5i
\(430\) −20.0879 + 4.76091i −0.968722 + 0.229591i
\(431\) 5.10804 + 8.84738i 0.246045 + 0.426163i 0.962425 0.271548i \(-0.0875354\pi\)
−0.716380 + 0.697711i \(0.754202\pi\)
\(432\) −3.11167 + 4.16143i −0.149711 + 0.200217i
\(433\) 6.10277 10.5703i 0.293280 0.507976i −0.681303 0.732001i \(-0.738586\pi\)
0.974583 + 0.224025i \(0.0719197\pi\)
\(434\) 7.78845e−5 0 0.000260152i 3.73858e−6 0 1.24877e-5i
\(435\) 19.1114 + 6.97112i 0.916319 + 0.334240i
\(436\) 11.4928 + 7.55896i 0.550407 + 0.362009i
\(437\) 16.1069 + 21.6353i 0.770497 + 1.03496i
\(438\) 3.88108 12.9308i 0.185445 0.617855i
\(439\) 18.7061 12.3032i 0.892793 0.587199i −0.0181027 0.999836i \(-0.505763\pi\)
0.910896 + 0.412637i \(0.135392\pi\)
\(440\) −1.11703 0.406567i −0.0532525 0.0193823i
\(441\) 5.98687 + 20.0999i 0.285089 + 0.957139i
\(442\) −6.33413 + 2.30544i −0.301284 + 0.109658i
\(443\) −13.1848 + 17.7103i −0.626431 + 0.841443i −0.996147 0.0877021i \(-0.972048\pi\)
0.369716 + 0.929145i \(0.379455\pi\)
\(444\) −7.48720 + 0.869815i −0.355327 + 0.0412796i
\(445\) −6.61959 + 7.01635i −0.313799 + 0.332607i
\(446\) −19.3681 + 20.5290i −0.917108 + 0.972078i
\(447\) −6.46838 + 14.9666i −0.305944 + 0.707895i
\(448\) −0.0570807 + 0.0766727i −0.00269681 + 0.00362245i
\(449\) 13.6831 4.98026i 0.645747 0.235033i 0.00167637 0.999999i \(-0.499466\pi\)
0.644071 + 0.764966i \(0.277244\pi\)
\(450\) 2.81813 + 3.79649i 0.132848 + 0.178968i
\(451\) 4.82369 + 1.75568i 0.227139 + 0.0826717i
\(452\) −4.87409 + 3.20574i −0.229258 + 0.150785i
\(453\) −14.2333 + 3.36284i −0.668741 + 0.158000i
\(454\) −3.85130 5.17319i −0.180750 0.242790i
\(455\) 0.204599 + 0.134567i 0.00959175 + 0.00630859i
\(456\) 5.20255 4.35925i 0.243632 0.204141i
\(457\) 6.87963 22.9796i 0.321815 1.07494i −0.632106 0.774882i \(-0.717809\pi\)
0.953921 0.300057i \(-0.0970056\pi\)
\(458\) −6.26645 + 10.8538i −0.292812 + 0.507165i
\(459\) −19.3451 16.3018i −0.902951 0.760903i
\(460\) 6.36810 + 11.0299i 0.296914 + 0.514270i
\(461\) −5.26464 + 1.24774i −0.245199 + 0.0581132i −0.351377 0.936234i \(-0.614287\pi\)
0.106179 + 0.994347i \(0.466138\pi\)
\(462\) 0.0531153 + 0.0921473i 0.00247115 + 0.00428708i
\(463\) −25.1069 + 12.6091i −1.16681 + 0.585996i −0.923367 0.383918i \(-0.874575\pi\)
−0.243447 + 0.969914i \(0.578278\pi\)
\(464\) −2.51405 + 5.82823i −0.116712 + 0.270569i
\(465\) −0.00544239 + 0.00729972i −0.000252385 + 0.000338517i
\(466\) 0.947597 + 16.2696i 0.0438966 + 0.753675i
\(467\) −4.25830 24.1500i −0.197051 1.11753i −0.909468 0.415774i \(-0.863511\pi\)
0.712418 0.701756i \(-0.247600\pi\)
\(468\) −2.48500 + 3.32819i −0.114869 + 0.153846i
\(469\) −0.129725 + 0.735705i −0.00599013 + 0.0339717i
\(470\) −17.2381 2.01484i −0.795132 0.0929376i
\(471\) −0.487335 + 8.26750i −0.0224552 + 0.380946i
\(472\) 0.885026 + 2.95619i 0.0407366 + 0.136070i
\(473\) −6.97406 1.65288i −0.320668 0.0759996i
\(474\) −18.1241 4.30889i −0.832467 0.197914i
\(475\) −2.44623 5.67100i −0.112241 0.260203i
\(476\) −0.356497 0.299136i −0.0163400 0.0137109i
\(477\) 24.0263 20.1032i 1.10009 0.920461i
\(478\) 13.1187 11.0079i 0.600036 0.503490i
\(479\) 29.6240 + 14.8777i 1.35355 + 0.679780i 0.969856 0.243678i \(-0.0783541\pi\)
0.383698 + 0.923459i \(0.374650\pi\)
\(480\) 2.67895 1.75929i 0.122277 0.0803001i
\(481\) −5.98443 + 0.699480i −0.272867 + 0.0318935i
\(482\) −1.53119 + 26.2894i −0.0697436 + 1.19745i
\(483\) 0.198668 1.12211i 0.00903969 0.0510576i
\(484\) 7.26545 + 7.70092i 0.330248 + 0.350042i
\(485\) −30.5883 −1.38894
\(486\) −15.4766 1.86390i −0.702034 0.0845482i
\(487\) −23.7318 −1.07539 −0.537695 0.843140i \(-0.680705\pi\)
−0.537695 + 0.843140i \(0.680705\pi\)
\(488\) −1.79578 1.90341i −0.0812911 0.0861635i
\(489\) −2.56195 + 14.4703i −0.115855 + 0.654370i
\(490\) 0.752153 12.9140i 0.0339788 0.583393i
\(491\) −2.11340 + 0.247021i −0.0953765 + 0.0111479i −0.163647 0.986519i \(-0.552326\pi\)
0.0682708 + 0.997667i \(0.478252\pi\)
\(492\) −11.5685 + 7.59714i −0.521549 + 0.342506i
\(493\) −27.6155 13.8690i −1.24374 0.624629i
\(494\) 4.15623 3.48749i 0.186998 0.156910i
\(495\) −0.614340 3.51285i −0.0276125 0.157891i
\(496\) −0.00217631 0.00182614i −9.77193e−5 8.19962e-5i
\(497\) 0.297321 + 0.689268i 0.0133367 + 0.0309179i
\(498\) 3.58666 + 0.852707i 0.160722 + 0.0382107i
\(499\) 14.6923 + 3.48213i 0.657717 + 0.155882i 0.545904 0.837848i \(-0.316186\pi\)
0.111813 + 0.993729i \(0.464334\pi\)
\(500\) −3.48990 11.6571i −0.156073 0.521320i
\(501\) 1.95461 33.1594i 0.0873256 1.48145i
\(502\) 5.12456 + 0.598975i 0.228720 + 0.0267336i
\(503\) 2.86626 16.2554i 0.127800 0.724791i −0.851805 0.523859i \(-0.824492\pi\)
0.979605 0.200932i \(-0.0643971\pi\)
\(504\) −0.284776 0.0336898i −0.0126849 0.00150066i
\(505\) 4.16307 + 23.6099i 0.185254 + 1.05063i
\(506\) 0.257100 + 4.41424i 0.0114295 + 0.196237i
\(507\) 11.4741 15.3899i 0.509584 0.683491i
\(508\) 8.64594 20.0435i 0.383602 0.889288i
\(509\) −29.7920 + 14.9621i −1.32051 + 0.663183i −0.962689 0.270610i \(-0.912775\pi\)
−0.357816 + 0.933792i \(0.616478\pi\)
\(510\) 7.79237 + 13.5186i 0.345052 + 0.598615i
\(511\) 0.724981 0.171824i 0.0320713 0.00760103i
\(512\) 0.500000 + 0.866025i 0.0220971 + 0.0382733i
\(513\) 19.1197 + 7.00452i 0.844156 + 0.309257i
\(514\) −14.8021 + 25.6381i −0.652895 + 1.13085i
\(515\) −5.27830 + 17.6308i −0.232590 + 0.776904i
\(516\) 14.8117 12.4109i 0.652051 0.546358i
\(517\) −5.03416 3.31102i −0.221402 0.145618i
\(518\) −0.248405 0.333665i −0.0109143 0.0146604i
\(519\) 7.75944 1.83329i 0.340602 0.0804723i
\(520\) 2.14044 1.40779i 0.0938647 0.0617358i
\(521\) −14.5717 5.30368i −0.638399 0.232358i 0.00248380 0.999997i \(-0.499209\pi\)
−0.640883 + 0.767639i \(0.721432\pi\)
\(522\) −18.9163 + 2.18416i −0.827946 + 0.0955980i
\(523\) −3.81870 + 1.38989i −0.166980 + 0.0607758i −0.424158 0.905588i \(-0.639430\pi\)
0.257177 + 0.966364i \(0.417208\pi\)
\(524\) 2.85368 3.83316i 0.124664 0.167452i
\(525\) −0.103518 + 0.239520i −0.00451789 + 0.0104535i
\(526\) 0.624878 0.662332i 0.0272460 0.0288791i
\(527\) 0.00949174 0.0100607i 0.000413467 0.000438249i
\(528\) 1.10526 0.128402i 0.0481004 0.00558800i
\(529\) 14.5559 19.5519i 0.632864 0.850084i
\(530\) −18.1573 + 6.60872i −0.788703 + 0.287064i
\(531\) −6.36230 + 6.72475i −0.276100 + 0.291829i
\(532\) 0.351992 + 0.128114i 0.0152608 + 0.00555447i
\(533\) −9.24309 + 6.07927i −0.400362 + 0.263323i
\(534\) 2.59567 8.64808i 0.112325 0.374239i
\(535\) 5.18330 + 6.96238i 0.224093 + 0.301010i
\(536\) 6.52969 + 4.29464i 0.282040 + 0.185500i
\(537\) 39.6522 + 14.4637i 1.71112 + 0.624153i
\(538\) −1.90250 + 6.35478i −0.0820224 + 0.273974i
\(539\) 2.24552 3.88935i 0.0967214 0.167526i
\(540\) 8.58313 + 4.33321i 0.369359 + 0.186472i
\(541\) −5.89817 10.2159i −0.253582 0.439217i 0.710927 0.703265i \(-0.248275\pi\)
−0.964509 + 0.264048i \(0.914942\pi\)
\(542\) −8.26781 + 1.95951i −0.355133 + 0.0841680i
\(543\) −15.1664 0.0106184i −0.650852 0.000455680i
\(544\) −4.35072 + 2.18501i −0.186535 + 0.0936816i
\(545\) 10.0817 23.3720i 0.431853 1.00115i
\(546\) −0.227655 0.0267707i −0.00974275 0.00114568i
\(547\) 1.77358 + 30.4511i 0.0758326 + 1.30200i 0.794766 + 0.606916i \(0.207594\pi\)
−0.718933 + 0.695079i \(0.755369\pi\)
\(548\) 2.56189 + 14.5292i 0.109439 + 0.620657i
\(549\) 2.26208 7.51753i 0.0965430 0.320840i
\(550\) 0.175814 0.997093i 0.00749675 0.0425162i
\(551\) 24.7054 + 2.88765i 1.05248 + 0.123018i
\(552\) −9.95580 6.55802i −0.423747 0.279128i
\(553\) −0.294862 0.984908i −0.0125388 0.0418825i
\(554\) 24.1822 + 5.73128i 1.02740 + 0.243499i
\(555\) 3.99082 + 13.3643i 0.169401 + 0.567283i
\(556\) 6.58292 + 15.2609i 0.279178 + 0.647207i
\(557\) 8.21928 + 6.89680i 0.348262 + 0.292227i 0.800092 0.599878i \(-0.204784\pi\)
−0.451830 + 0.892104i \(0.649229\pi\)
\(558\) 0.00149174 0.00839136i 6.31504e−5 0.000355234i
\(559\) 11.8329 9.92896i 0.500477 0.419950i
\(560\) 0.158060 + 0.0793809i 0.00667927 + 0.00335446i
\(561\) 0.311198 + 5.40830i 0.0131388 + 0.228339i
\(562\) 14.1676 1.65595i 0.597622 0.0698520i
\(563\) 1.78771 30.6939i 0.0753432 1.29359i −0.722772 0.691087i \(-0.757132\pi\)
0.798115 0.602505i \(-0.205831\pi\)
\(564\) 15.2696 5.54558i 0.642966 0.233511i
\(565\) 7.40789 + 7.85190i 0.311652 + 0.330332i
\(566\) 4.05565 0.170471
\(567\) −0.338528 0.790879i −0.0142168 0.0332138i
\(568\) 7.85314 0.329510
\(569\) −15.4655 16.3925i −0.648347 0.687208i 0.316926 0.948450i \(-0.397349\pi\)
−0.965273 + 0.261242i \(0.915868\pi\)
\(570\) −9.61546 8.07981i −0.402747 0.338426i
\(571\) 1.00671 17.2845i 0.0421294 0.723334i −0.909428 0.415862i \(-0.863480\pi\)
0.951557 0.307472i \(-0.0994831\pi\)
\(572\) 0.883424 0.103257i 0.0369378 0.00431741i
\(573\) 6.92643 + 3.48466i 0.289356 + 0.145574i
\(574\) −0.682553 0.342791i −0.0284892 0.0143078i
\(575\) −8.30994 + 6.97287i −0.346548 + 0.290789i
\(576\) −1.50364 + 2.59597i −0.0626515 + 0.108166i
\(577\) −5.34742 4.48702i −0.222616 0.186797i 0.524658 0.851313i \(-0.324193\pi\)
−0.747274 + 0.664516i \(0.768638\pi\)
\(578\) −2.65492 6.15481i −0.110430 0.256006i
\(579\) −5.33071 + 5.64231i −0.221537 + 0.234486i
\(580\) 11.4285 + 2.70860i 0.474542 + 0.112469i
\(581\) 0.0583517 + 0.194908i 0.00242083 + 0.00808615i
\(582\) 25.5955 12.8321i 1.06097 0.531907i
\(583\) −6.66302 0.778795i −0.275954 0.0322544i
\(584\) 1.35352 7.67618i 0.0560090 0.317643i
\(585\) 6.86338 + 3.45896i 0.283766 + 0.143010i
\(586\) 0.181127 + 1.02722i 0.00748230 + 0.0424342i
\(587\) 0.582916 + 10.0083i 0.0240595 + 0.413086i 0.988738 + 0.149656i \(0.0478167\pi\)
−0.964679 + 0.263430i \(0.915146\pi\)
\(588\) 4.78816 + 11.1216i 0.197460 + 0.458647i
\(589\) −0.00440957 + 0.0102225i −0.000181693 + 0.000421212i
\(590\) 5.10264 2.56264i 0.210073 0.105502i
\(591\) −8.52532 + 14.7424i −0.350685 + 0.606423i
\(592\) −4.23451 + 1.00360i −0.174037 + 0.0412476i
\(593\) −22.8981 39.6606i −0.940311 1.62867i −0.764878 0.644176i \(-0.777201\pi\)
−0.175434 0.984491i \(-0.556133\pi\)
\(594\) 1.98774 + 2.68174i 0.0815580 + 0.110033i
\(595\) −0.430562 + 0.745755i −0.0176513 + 0.0305730i
\(596\) −2.69980 + 9.01797i −0.110588 + 0.369391i
\(597\) −2.53104 14.4133i −0.103589 0.589895i
\(598\) −7.96187 5.23661i −0.325585 0.214141i
\(599\) 0.572891 + 0.769526i 0.0234077 + 0.0314420i 0.813673 0.581323i \(-0.197465\pi\)
−0.790265 + 0.612765i \(0.790057\pi\)
\(600\) 1.87190 + 1.98689i 0.0764201 + 0.0811143i
\(601\) −15.2900 + 10.0564i −0.623693 + 0.410210i −0.821643 0.570003i \(-0.806942\pi\)
0.197949 + 0.980212i \(0.436572\pi\)
\(602\) 1.00213 + 0.364744i 0.0408436 + 0.0148659i
\(603\) −1.39605 + 23.4047i −0.0568516 + 0.953111i
\(604\) −7.93464 + 2.88797i −0.322856 + 0.117510i
\(605\) 11.6987 15.7141i 0.475621 0.638870i
\(606\) −13.3881 18.0097i −0.543856 0.731595i
\(607\) 14.5943 15.4691i 0.592366 0.627871i −0.359955 0.932970i \(-0.617208\pi\)
0.952321 + 0.305098i \(0.0986894\pi\)
\(608\) 2.68920 2.85039i 0.109062 0.115599i
\(609\) −0.626950 0.843372i −0.0254053 0.0341752i
\(610\) −2.89154 + 3.88401i −0.117075 + 0.157259i
\(611\) 12.2027 4.44142i 0.493669 0.179681i
\(612\) −12.1917 8.04305i −0.492818 0.325121i
\(613\) 26.0835 + 9.49362i 1.05350 + 0.383444i 0.809984 0.586452i \(-0.199476\pi\)
0.243519 + 0.969896i \(0.421698\pi\)
\(614\) 5.83440 3.83734i 0.235457 0.154863i
\(615\) 17.5613 + 18.6400i 0.708140 + 0.751638i
\(616\) 0.0366696 + 0.0492558i 0.00147746 + 0.00198457i
\(617\) 18.7062 + 12.3033i 0.753085 + 0.495311i 0.867079 0.498170i \(-0.165994\pi\)
−0.113995 + 0.993481i \(0.536365\pi\)
\(618\) −2.97954 16.9673i −0.119855 0.682523i
\(619\) 3.91251 13.0687i 0.157257 0.525275i −0.842656 0.538452i \(-0.819009\pi\)
0.999913 + 0.0131772i \(0.00419457\pi\)
\(620\) −0.00262846 + 0.00455263i −0.000105561 + 0.000182838i
\(621\) 2.15453 35.7000i 0.0864585 1.43259i
\(622\) −13.8180 23.9335i −0.554052 0.959647i
\(623\) 0.484867 0.114916i 0.0194258 0.00460399i
\(624\) −1.20048 + 2.07594i −0.0480578 + 0.0831042i
\(625\) −13.0791 + 6.56857i −0.523164 + 0.262743i
\(626\) 8.14092 18.8728i 0.325377 0.754308i
\(627\) −1.72425 4.00497i −0.0688599 0.159943i
\(628\) 0.278021 + 4.77344i 0.0110942 + 0.190481i
\(629\) −3.67910 20.8652i −0.146695 0.831951i
\(630\) 0.0301111 + 0.529767i 0.00119966 + 0.0211064i
\(631\) −7.39656 + 41.9480i −0.294453 + 1.66992i 0.374966 + 0.927038i \(0.377654\pi\)
−0.669419 + 0.742885i \(0.733457\pi\)
\(632\) −10.6829 1.24865i −0.424942 0.0496686i
\(633\) −32.8904 + 16.4893i −1.30727 + 0.655392i
\(634\) −2.21782 7.40803i −0.0880809 0.294211i
\(635\) −39.3031 9.31500i −1.55970 0.369655i
\(636\) 12.4211 13.1472i 0.492530 0.521320i
\(637\) 3.83365 + 8.88741i 0.151895 + 0.352132i
\(638\) 3.12365 + 2.62105i 0.123666 + 0.103768i
\(639\) 11.7511 + 20.4195i 0.464867 + 0.807784i
\(640\) 1.41748 1.18941i 0.0560310 0.0470156i
\(641\) −13.9867 7.02436i −0.552440 0.277446i 0.150602 0.988595i \(-0.451879\pi\)
−0.703042 + 0.711149i \(0.748175\pi\)
\(642\) −7.25804 3.65149i −0.286452 0.144113i
\(643\) −6.41606 + 0.749930i −0.253025 + 0.0295743i −0.241660 0.970361i \(-0.577692\pi\)
−0.0113650 + 0.999935i \(0.503618\pi\)
\(644\) 0.0382549 0.656811i 0.00150745 0.0258820i
\(645\) −27.3754 23.0033i −1.07790 0.905756i
\(646\) 13.0926 + 13.8773i 0.515121 + 0.545996i
\(647\) 12.8813 0.506417 0.253209 0.967412i \(-0.418514\pi\)
0.253209 + 0.967412i \(0.418514\pi\)
\(648\) −8.99996 0.0252046i −0.353552 0.000990130i
\(649\) 1.98239 0.0778155
\(650\) 1.49742 + 1.58718i 0.0587338 + 0.0622542i
\(651\) 0.000442104 0 0.000160562i 1.73274e−5 0 6.29292e-6i
\(652\) −0.493322 + 8.47001i −0.0193200 + 0.331711i
\(653\) 42.1106 4.92202i 1.64791 0.192614i 0.759130 0.650939i \(-0.225625\pi\)
0.888784 + 0.458326i \(0.151551\pi\)
\(654\) 1.36870 + 23.7865i 0.0535202 + 0.930125i
\(655\) −7.90204 3.96855i −0.308758 0.155064i
\(656\) −6.12113 + 5.13623i −0.238990 + 0.200536i
\(657\) 21.9848 7.96695i 0.857707 0.310820i
\(658\) 0.686791 + 0.576286i 0.0267739 + 0.0224660i
\(659\) 14.2014 + 32.9225i 0.553208 + 1.28248i 0.933819 + 0.357745i \(0.116454\pi\)
−0.380611 + 0.924735i \(0.624286\pi\)
\(660\) −0.589126 1.97284i −0.0229317 0.0767928i
\(661\) 17.4665 + 4.13964i 0.679369 + 0.161013i 0.555792 0.831322i \(-0.312415\pi\)
0.123577 + 0.992335i \(0.460563\pi\)
\(662\) −5.33822 17.8309i −0.207476 0.693018i
\(663\) −9.74994 6.42242i −0.378656 0.249426i
\(664\) 2.11409 + 0.247101i 0.0820425 + 0.00958939i
\(665\) 0.120360 0.682593i 0.00466735 0.0264698i
\(666\) −8.94587 9.50871i −0.346646 0.368455i
\(667\) −7.58643 43.0248i −0.293748 1.66593i
\(668\) −1.11509 19.1454i −0.0431442 0.740757i
\(669\) −48.5500 5.70914i −1.87705 0.220728i
\(670\) 5.72795 13.2789i 0.221290 0.513008i
\(671\) −1.50228 + 0.754473i −0.0579949 + 0.0291261i
\(672\) −0.165562 0.000115915i −0.00638669 4.47151e-6i
\(673\) −42.4250 + 10.0549i −1.63537 + 0.387589i −0.942692 0.333663i \(-0.891715\pi\)
−0.692673 + 0.721252i \(0.743567\pi\)
\(674\) −10.6707 18.4822i −0.411021 0.711909i
\(675\) −2.36521 + 7.84037i −0.0910369 + 0.301776i
\(676\) 5.54155 9.59825i 0.213137 0.369163i
\(677\) −9.25729 + 30.9215i −0.355787 + 1.18841i 0.573548 + 0.819172i \(0.305567\pi\)
−0.929335 + 0.369238i \(0.879619\pi\)
\(678\) −9.49268 3.46258i −0.364564 0.132980i
\(679\) 1.32017 + 0.868291i 0.0506636 + 0.0333219i
\(680\) 5.37967 + 7.22615i 0.206301 + 0.277110i
\(681\) 3.21127 10.6991i 0.123056 0.409991i
\(682\) −0.00152484 + 0.00100290i −5.83890e−5 + 3.84031e-5i
\(683\) −7.75469 2.82248i −0.296725 0.107999i 0.189368 0.981906i \(-0.439356\pi\)
−0.486093 + 0.873907i \(0.661578\pi\)
\(684\) 11.4355 + 2.72719i 0.437248 + 0.104277i
\(685\) 25.6532 9.33698i 0.980157 0.356748i
\(686\) −0.798609 + 1.07272i −0.0304910 + 0.0409566i
\(687\) −21.5626 + 2.50501i −0.822665 + 0.0955719i
\(688\) 7.65621 8.11511i 0.291890 0.309386i
\(689\) 9.92152 10.5162i 0.377980 0.400635i
\(690\) −8.75160 + 20.2495i −0.333168 + 0.770885i
\(691\) −5.62712 + 7.55853i −0.214066 + 0.287540i −0.896166 0.443718i \(-0.853659\pi\)
0.682101 + 0.731258i \(0.261067\pi\)
\(692\) 4.32565 1.57441i 0.164436 0.0598499i
\(693\) −0.0732027 + 0.169052i −0.00278074 + 0.00642174i
\(694\) 3.62426 + 1.31912i 0.137575 + 0.0500732i
\(695\) 25.6945 16.8995i 0.974648 0.641036i
\(696\) −10.6993 + 2.52788i −0.405558 + 0.0958191i
\(697\) −23.2310 31.2047i −0.879939 1.18196i
\(698\) 3.27748 + 2.15563i 0.124055 + 0.0815920i
\(699\) −21.6362 + 18.1292i −0.818358 + 0.685708i
\(700\) −0.0432068 + 0.144321i −0.00163306 + 0.00545481i
\(701\) 8.79871 15.2398i 0.332323 0.575600i −0.650644 0.759383i \(-0.725501\pi\)
0.982967 + 0.183783i \(0.0588344\pi\)
\(702\) −7.19417 0.0151105i −0.271526 0.000570311i
\(703\) 8.52681 + 14.7689i 0.321595 + 0.557018i
\(704\) 0.625099 0.148151i 0.0235593 0.00558366i
\(705\) −15.0120 26.0436i −0.565384 0.980860i
\(706\) 25.9712 13.0432i 0.977438 0.490888i
\(707\) 0.490525 1.13717i 0.0184481 0.0427675i
\(708\) −3.19470 + 4.28497i −0.120064 + 0.161039i
\(709\) 2.54446 + 43.6868i 0.0955594 + 1.64069i 0.616684 + 0.787211i \(0.288476\pi\)
−0.521125 + 0.853480i \(0.674487\pi\)
\(710\) −2.52335 14.3106i −0.0946997 0.537069i
\(711\) −12.7387 29.6458i −0.477740 1.11180i
\(712\) 0.905232 5.13383i 0.0339250 0.192398i
\(713\) 0.0194221 + 0.00227012i 0.000727363 + 8.50166e-5i
\(714\) 0.0474310 0.804654i 0.00177506 0.0301134i
\(715\) −0.472024 1.57667i −0.0176527 0.0589641i
\(716\) 23.7118 + 5.61980i 0.886151 + 0.210022i
\(717\) 28.8575 + 6.86070i 1.07770 + 0.256217i
\(718\) 2.67297 + 6.19665i 0.0997544 + 0.231257i
\(719\) −0.280642 0.235486i −0.0104662 0.00878215i 0.637540 0.770418i \(-0.279952\pi\)
−0.648006 + 0.761635i \(0.724397\pi\)
\(720\) 5.21374 + 1.90592i 0.194305 + 0.0710294i
\(721\) 0.728283 0.611102i 0.0271227 0.0227586i
\(722\) 3.25592 + 1.63519i 0.121173 + 0.0608553i
\(723\) −38.1256 + 25.0374i −1.41791 + 0.931151i
\(724\) −8.69711 + 1.01655i −0.323226 + 0.0377797i
\(725\) −0.581662 + 9.98676i −0.0216024 + 0.370899i
\(726\) −3.19696 + 18.0569i −0.118650 + 0.670155i
\(727\) 16.2157 + 17.1877i 0.601408 + 0.637455i 0.954527 0.298123i \(-0.0963606\pi\)
−0.353120 + 0.935578i \(0.614879\pi\)
\(728\) −0.132343 −0.00490494
\(729\) −13.4017 23.4392i −0.496358 0.868118i
\(730\) −14.4231 −0.533822
\(731\) 37.2748 + 39.5090i 1.37866 + 1.46129i
\(732\) 0.790183 4.46307i 0.0292060 0.164960i
\(733\) −0.563137 + 9.66869i −0.0207999 + 0.357121i 0.971809 + 0.235768i \(0.0757605\pi\)
−0.992609 + 0.121353i \(0.961277\pi\)
\(734\) 11.3398 1.32543i 0.418559 0.0489225i
\(735\) 18.7282 12.2989i 0.690799 0.453653i
\(736\) −6.15084 3.08907i −0.226723 0.113865i
\(737\) 3.84612 3.22727i 0.141673 0.118878i
\(738\) −22.5145 8.23033i −0.828771 0.302963i
\(739\) 30.9774 + 25.9931i 1.13952 + 0.956172i 0.999423 0.0339660i \(-0.0108138\pi\)
0.140098 + 0.990138i \(0.455258\pi\)
\(740\) 3.18946 + 7.39399i 0.117247 + 0.271809i
\(741\) 9.14255 + 2.17359i 0.335860 + 0.0798487i
\(742\) 0.971257 + 0.230192i 0.0356560 + 0.00845062i
\(743\) −0.0999801 0.333957i −0.00366792 0.0122517i 0.956136 0.292923i \(-0.0946280\pi\)
−0.959804 + 0.280672i \(0.909443\pi\)
\(744\) 0.000289553 0.00491218i 1.06155e−5 0.000180089i
\(745\) 17.3008 + 2.02217i 0.633852 + 0.0740866i
\(746\) −3.80749 + 21.5934i −0.139402 + 0.790589i
\(747\) 2.52093 + 5.86675i 0.0922360 + 0.214653i
\(748\) 0.543110 + 3.08013i 0.0198581 + 0.112621i
\(749\) −0.0260713 0.447628i −0.000952626 0.0163560i
\(750\) 12.5976 16.8968i 0.459999 0.616983i
\(751\) 17.8544 41.3912i 0.651518 1.51039i −0.196547 0.980494i \(-0.562973\pi\)
0.848064 0.529893i \(-0.177768\pi\)
\(752\) 8.38166 4.20943i 0.305648 0.153502i
\(753\) 4.46279 + 7.74229i 0.162633 + 0.282145i
\(754\) −8.55114 + 2.02666i −0.311414 + 0.0738065i
\(755\) 7.81224 + 13.5312i 0.284316 + 0.492451i
\(756\) −0.247439 0.430663i −0.00899927 0.0156631i
\(757\) −1.07067 + 1.85445i −0.0389141 + 0.0674011i −0.884826 0.465921i \(-0.845723\pi\)
0.845912 + 0.533322i \(0.179057\pi\)
\(758\) 0.489566 1.63527i 0.0177819 0.0593955i
\(759\) −5.87031 + 4.91878i −0.213079 + 0.178540i
\(760\) −6.05830 3.98461i −0.219758 0.144537i
\(761\) −10.4708 14.0647i −0.379565 0.509844i 0.570755 0.821121i \(-0.306651\pi\)
−0.950319 + 0.311277i \(0.899243\pi\)
\(762\) 36.7955 8.69350i 1.33296 0.314932i
\(763\) −1.09857 + 0.722540i −0.0397709 + 0.0261577i
\(764\) 4.20657 + 1.53107i 0.152188 + 0.0553921i
\(765\) −10.7393 + 24.8010i −0.388281 + 0.896682i
\(766\) −18.7192 + 6.81323i −0.676352 + 0.246172i
\(767\) −2.55130