Properties

Label 324.2.p.a.11.4
Level $324$
Weight $2$
Character 324.11
Analytic conductor $2.587$
Analytic rank $0$
Dimension $936$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [324,2,Mod(11,324)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(324, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([27, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("324.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 324 = 2^{2} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 324.p (of order \(54\), 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: \(2.58715302549\)
Analytic rank: \(0\)
Dimension: \(936\)
Relative dimension: \(52\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 324.11
Dual form 324.2.p.a.59.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.36952 - 0.352718i) q^{2} +(1.60792 + 0.643879i) q^{3} +(1.75118 + 0.966111i) q^{4} +(-0.221174 + 1.89226i) q^{5} +(-1.97498 - 1.44895i) q^{6} +(0.167545 + 0.333610i) q^{7} +(-2.05751 - 1.94078i) q^{8} +(2.17084 + 2.07062i) q^{9} +O(q^{10})\) \(q+(-1.36952 - 0.352718i) q^{2} +(1.60792 + 0.643879i) q^{3} +(1.75118 + 0.966111i) q^{4} +(-0.221174 + 1.89226i) q^{5} +(-1.97498 - 1.44895i) q^{6} +(0.167545 + 0.333610i) q^{7} +(-2.05751 - 1.94078i) q^{8} +(2.17084 + 2.07062i) q^{9} +(0.970339 - 2.51349i) q^{10} +(-1.11039 + 2.57416i) q^{11} +(2.19371 + 2.68098i) q^{12} +(2.99565 - 0.709981i) q^{13} +(-0.111786 - 0.515982i) q^{14} +(-1.57402 + 2.90021i) q^{15} +(2.13326 + 3.38367i) q^{16} +(-2.21511 + 0.390583i) q^{17} +(-2.24267 - 3.60145i) q^{18} +(-5.40145 - 0.952421i) q^{19} +(-2.21545 + 3.10002i) q^{20} +(0.0545957 + 0.644298i) q^{21} +(2.42865 - 3.13372i) q^{22} +(0.385154 + 0.193431i) q^{23} +(-2.05870 - 4.44542i) q^{24} +(1.33348 + 0.316040i) q^{25} +(-4.35302 - 0.0842845i) q^{26} +(2.15732 + 4.72715i) q^{27} +(-0.0289024 + 0.746078i) q^{28} +(1.34433 - 0.402465i) q^{29} +(3.17861 - 3.41671i) q^{30} +(-1.43821 - 2.18670i) q^{31} +(-1.72806 - 5.38645i) q^{32} +(-3.44287 + 3.42411i) q^{33} +(3.17140 + 0.246397i) q^{34} +(-0.668335 + 0.243254i) q^{35} +(1.80109 + 5.72329i) q^{36} +(11.0643 + 4.02708i) q^{37} +(7.06147 + 3.20955i) q^{38} +(5.27391 + 0.787236i) q^{39} +(4.12754 - 3.46411i) q^{40} +(-0.432568 + 0.408106i) q^{41} +(0.152486 - 0.901637i) q^{42} +(-2.08028 + 1.54871i) q^{43} +(-4.43141 + 3.43507i) q^{44} +(-4.39829 + 3.64984i) q^{45} +(-0.459250 - 0.400759i) q^{46} +(3.37922 + 2.22255i) q^{47} +(1.25145 + 6.81424i) q^{48} +(4.09689 - 5.50307i) q^{49} +(-1.71475 - 0.903165i) q^{50} +(-3.81321 - 0.798232i) q^{51} +(5.93183 + 1.65082i) q^{52} +(5.07589 - 2.93057i) q^{53} +(-1.28715 - 7.23486i) q^{54} +(-4.62541 - 2.67048i) q^{55} +(0.302738 - 1.01158i) q^{56} +(-8.07188 - 5.00930i) q^{57} +(-1.98304 + 0.0770160i) q^{58} +(-4.97300 - 11.5287i) q^{59} +(-5.55831 + 3.55811i) q^{60} +(-0.301642 + 5.17899i) q^{61} +(1.19838 + 3.50202i) q^{62} +(-0.327064 + 1.07114i) q^{63} +(0.466725 + 7.98637i) q^{64} +(0.680913 + 5.82558i) q^{65} +(5.92282 - 3.47503i) q^{66} +(1.69797 + 0.508339i) q^{67} +(-4.25640 - 1.45606i) q^{68} +(0.494752 + 0.559015i) q^{69} +(1.00110 - 0.0974077i) q^{70} +(8.93715 - 7.49916i) q^{71} +(-0.447918 - 8.47345i) q^{72} +(-10.8049 - 9.06636i) q^{73} +(-13.7324 - 9.41777i) q^{74} +(1.94064 + 1.36677i) q^{75} +(-8.53876 - 6.88626i) q^{76} +(-1.04481 + 0.0608530i) q^{77} +(-6.94507 - 2.93834i) q^{78} +(-10.7707 - 10.1616i) q^{79} +(-6.87461 + 3.28831i) q^{80} +(0.425098 + 8.98996i) q^{81} +(0.736357 - 0.406336i) q^{82} +(-4.02464 + 4.26587i) q^{83} +(-0.526856 + 1.18103i) q^{84} +(-0.249162 - 4.27795i) q^{85} +(3.39524 - 1.38724i) q^{86} +(2.42072 + 0.218450i) q^{87} +(7.28053 - 3.14136i) q^{88} +(8.91268 - 10.6217i) q^{89} +(7.31091 - 3.44718i) q^{90} +(0.738762 + 0.880423i) q^{91} +(0.487597 + 0.710834i) q^{92} +(-0.904571 - 4.44208i) q^{93} +(-3.84398 - 4.23574i) q^{94} +(2.99689 - 10.0103i) q^{95} +(0.689620 - 9.77366i) q^{96} +(-15.9056 + 1.85910i) q^{97} +(-7.55181 + 6.09153i) q^{98} +(-7.74058 + 3.28892i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 936 q - 18 q^{2} - 18 q^{4} - 36 q^{5} - 18 q^{6} - 18 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 936 q - 18 q^{2} - 18 q^{4} - 36 q^{5} - 18 q^{6} - 18 q^{8} - 36 q^{9} - 18 q^{10} - 18 q^{12} - 36 q^{13} - 18 q^{14} - 18 q^{16} - 36 q^{17} - 18 q^{18} - 18 q^{20} - 36 q^{21} - 18 q^{22} - 18 q^{24} - 36 q^{25} - 27 q^{26} - 9 q^{28} - 36 q^{29} - 18 q^{30} - 18 q^{32} - 36 q^{33} - 18 q^{34} - 18 q^{36} - 36 q^{37} - 18 q^{38} - 18 q^{40} - 36 q^{41} - 63 q^{42} - 90 q^{44} - 36 q^{45} - 18 q^{46} - 117 q^{48} - 36 q^{49} - 135 q^{50} - 18 q^{52} - 54 q^{53} - 144 q^{54} - 144 q^{56} - 36 q^{57} - 18 q^{58} - 135 q^{60} - 36 q^{61} - 117 q^{62} - 18 q^{64} - 36 q^{65} - 90 q^{66} - 63 q^{68} - 36 q^{69} - 18 q^{70} - 18 q^{72} - 36 q^{73} - 18 q^{74} - 18 q^{76} - 36 q^{77} + 9 q^{78} - 36 q^{81} - 36 q^{82} - 45 q^{84} - 36 q^{85} - 18 q^{86} - 18 q^{88} - 54 q^{89} + 45 q^{90} + 72 q^{92} - 144 q^{93} - 18 q^{94} + 99 q^{96} - 36 q^{97} + 153 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).

\(n\) \(163\) \(245\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{54}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36952 0.352718i −0.968398 0.249409i
\(3\) 1.60792 + 0.643879i 0.928335 + 0.371744i
\(4\) 1.75118 + 0.966111i 0.875590 + 0.483055i
\(5\) −0.221174 + 1.89226i −0.0989120 + 0.846246i 0.849148 + 0.528155i \(0.177116\pi\)
−0.948060 + 0.318091i \(0.896958\pi\)
\(6\) −1.97498 1.44895i −0.806282 0.591531i
\(7\) 0.167545 + 0.333610i 0.0633261 + 0.126093i 0.923069 0.384635i \(-0.125673\pi\)
−0.859743 + 0.510727i \(0.829376\pi\)
\(8\) −2.05751 1.94078i −0.727441 0.686170i
\(9\) 2.17084 + 2.07062i 0.723614 + 0.690205i
\(10\) 0.970339 2.51349i 0.306848 0.794834i
\(11\) −1.11039 + 2.57416i −0.334794 + 0.776140i 0.664782 + 0.747037i \(0.268524\pi\)
−0.999576 + 0.0291027i \(0.990735\pi\)
\(12\) 2.19371 + 2.68098i 0.633268 + 0.773932i
\(13\) 2.99565 0.709981i 0.830843 0.196913i 0.206879 0.978367i \(-0.433669\pi\)
0.623964 + 0.781453i \(0.285521\pi\)
\(14\) −0.111786 0.515982i −0.0298762 0.137902i
\(15\) −1.57402 + 2.90021i −0.406410 + 0.748831i
\(16\) 2.13326 + 3.38367i 0.533315 + 0.845917i
\(17\) −2.21511 + 0.390583i −0.537242 + 0.0947303i −0.435685 0.900099i \(-0.643494\pi\)
−0.101558 + 0.994830i \(0.532383\pi\)
\(18\) −2.24267 3.60145i −0.528602 0.848870i
\(19\) −5.40145 0.952421i −1.23918 0.218500i −0.484614 0.874728i \(-0.661040\pi\)
−0.754563 + 0.656227i \(0.772151\pi\)
\(20\) −2.21545 + 3.10002i −0.495390 + 0.693185i
\(21\) 0.0545957 + 0.644298i 0.0119137 + 0.140597i
\(22\) 2.42865 3.13372i 0.517790 0.668111i
\(23\) 0.385154 + 0.193431i 0.0803101 + 0.0403332i 0.488501 0.872563i \(-0.337544\pi\)
−0.408191 + 0.912897i \(0.633840\pi\)
\(24\) −2.05870 4.44542i −0.420230 0.907418i
\(25\) 1.33348 + 0.316040i 0.266695 + 0.0632080i
\(26\) −4.35302 0.0842845i −0.853698 0.0165296i
\(27\) 2.15732 + 4.72715i 0.415177 + 0.909741i
\(28\) −0.0289024 + 0.746078i −0.00546204 + 0.140995i
\(29\) 1.34433 0.402465i 0.249635 0.0747359i −0.159541 0.987191i \(-0.551001\pi\)
0.409176 + 0.912455i \(0.365816\pi\)
\(30\) 3.17861 3.41671i 0.580332 0.623804i
\(31\) −1.43821 2.18670i −0.258311 0.392743i 0.682927 0.730486i \(-0.260707\pi\)
−0.941238 + 0.337744i \(0.890336\pi\)
\(32\) −1.72806 5.38645i −0.305482 0.952198i
\(33\) −3.44287 + 3.42411i −0.599326 + 0.596060i
\(34\) 3.17140 + 0.246397i 0.543891 + 0.0422567i
\(35\) −0.668335 + 0.243254i −0.112969 + 0.0411174i
\(36\) 1.80109 + 5.72329i 0.300181 + 0.953882i
\(37\) 11.0643 + 4.02708i 1.81896 + 0.662048i 0.995509 + 0.0946651i \(0.0301780\pi\)
0.823454 + 0.567383i \(0.192044\pi\)
\(38\) 7.06147 + 3.20955i 1.14552 + 0.520658i
\(39\) 5.27391 + 0.787236i 0.844502 + 0.126059i
\(40\) 4.12754 3.46411i 0.652622 0.547724i
\(41\) −0.432568 + 0.408106i −0.0675557 + 0.0637355i −0.719279 0.694721i \(-0.755528\pi\)
0.651723 + 0.758457i \(0.274046\pi\)
\(42\) 0.152486 0.901637i 0.0235291 0.139126i
\(43\) −2.08028 + 1.54871i −0.317239 + 0.236176i −0.743986 0.668195i \(-0.767067\pi\)
0.426747 + 0.904371i \(0.359660\pi\)
\(44\) −4.43141 + 3.43507i −0.668061 + 0.517856i
\(45\) −4.39829 + 3.64984i −0.655658 + 0.544086i
\(46\) −0.459250 0.400759i −0.0677127 0.0590887i
\(47\) 3.37922 + 2.22255i 0.492909 + 0.324192i 0.771512 0.636215i \(-0.219501\pi\)
−0.278602 + 0.960407i \(0.589871\pi\)
\(48\) 1.25145 + 6.81424i 0.180631 + 0.983551i
\(49\) 4.09689 5.50307i 0.585269 0.786153i
\(50\) −1.71475 0.903165i −0.242503 0.127727i
\(51\) −3.81321 0.798232i −0.533956 0.111775i
\(52\) 5.93183 + 1.65082i 0.822597 + 0.228928i
\(53\) 5.07589 2.93057i 0.697227 0.402544i −0.109087 0.994032i \(-0.534793\pi\)
0.806314 + 0.591488i \(0.201459\pi\)
\(54\) −1.28715 7.23486i −0.175158 0.984540i
\(55\) −4.62541 2.67048i −0.623690 0.360088i
\(56\) 0.302738 1.01158i 0.0404550 0.135177i
\(57\) −8.07188 5.00930i −1.06915 0.663498i
\(58\) −1.98304 + 0.0770160i −0.260386 + 0.0101127i
\(59\) −4.97300 11.5287i −0.647430 1.50091i −0.852806 0.522228i \(-0.825101\pi\)
0.205376 0.978683i \(-0.434158\pi\)
\(60\) −5.55831 + 3.55811i −0.717575 + 0.459350i
\(61\) −0.301642 + 5.17899i −0.0386213 + 0.663102i 0.922333 + 0.386395i \(0.126280\pi\)
−0.960954 + 0.276706i \(0.910757\pi\)
\(62\) 1.19838 + 3.50202i 0.152194 + 0.444757i
\(63\) −0.327064 + 1.07114i −0.0412062 + 0.134950i
\(64\) 0.466725 + 7.98637i 0.0583406 + 0.998297i
\(65\) 0.680913 + 5.82558i 0.0844569 + 0.722575i
\(66\) 5.92282 3.47503i 0.729049 0.427746i
\(67\) 1.69797 + 0.508339i 0.207440 + 0.0621035i 0.388837 0.921306i \(-0.372877\pi\)
−0.181397 + 0.983410i \(0.558062\pi\)
\(68\) −4.25640 1.45606i −0.516164 0.176573i
\(69\) 0.494752 + 0.559015i 0.0595611 + 0.0672975i
\(70\) 1.00110 0.0974077i 0.119654 0.0116424i
\(71\) 8.93715 7.49916i 1.06065 0.889987i 0.0664726 0.997788i \(-0.478825\pi\)
0.994172 + 0.107801i \(0.0343810\pi\)
\(72\) −0.447918 8.47345i −0.0527876 0.998606i
\(73\) −10.8049 9.06636i −1.26461 1.06114i −0.995175 0.0981197i \(-0.968717\pi\)
−0.269439 0.963017i \(-0.586838\pi\)
\(74\) −13.7324 9.41777i −1.59636 1.09479i
\(75\) 1.94064 + 1.36677i 0.224086 + 0.157821i
\(76\) −8.53876 6.88626i −0.979463 0.789908i
\(77\) −1.04481 + 0.0608530i −0.119067 + 0.00693485i
\(78\) −6.94507 2.93834i −0.786374 0.332702i
\(79\) −10.7707 10.1616i −1.21180 1.14327i −0.985583 0.169194i \(-0.945884\pi\)
−0.226214 0.974078i \(-0.572635\pi\)
\(80\) −6.87461 + 3.28831i −0.768605 + 0.367645i
\(81\) 0.425098 + 8.98996i 0.0472331 + 0.998884i
\(82\) 0.736357 0.406336i 0.0813171 0.0448723i
\(83\) −4.02464 + 4.26587i −0.441761 + 0.468240i −0.909546 0.415603i \(-0.863571\pi\)
0.467785 + 0.883842i \(0.345052\pi\)
\(84\) −0.526856 + 1.18103i −0.0574847 + 0.128861i
\(85\) −0.249162 4.27795i −0.0270255 0.464009i
\(86\) 3.39524 1.38724i 0.366118 0.149590i
\(87\) 2.42072 + 0.218450i 0.259528 + 0.0234203i
\(88\) 7.28053 3.14136i 0.776107 0.334870i
\(89\) 8.91268 10.6217i 0.944743 1.12590i −0.0471583 0.998887i \(-0.515017\pi\)
0.991901 0.127013i \(-0.0405390\pi\)
\(90\) 7.31091 3.44718i 0.770638 0.363364i
\(91\) 0.738762 + 0.880423i 0.0774433 + 0.0922934i
\(92\) 0.487597 + 0.710834i 0.0508355 + 0.0741096i
\(93\) −0.904571 4.44208i −0.0937997 0.460622i
\(94\) −3.84398 4.23574i −0.396476 0.436883i
\(95\) 2.99689 10.0103i 0.307475 1.02704i
\(96\) 0.689620 9.77366i 0.0703840 0.997520i
\(97\) −15.9056 + 1.85910i −1.61497 + 0.188763i −0.875084 0.483970i \(-0.839194\pi\)
−0.739885 + 0.672733i \(0.765120\pi\)
\(98\) −7.55181 + 6.09153i −0.762848 + 0.615338i
\(99\) −7.74058 + 3.28892i −0.777957 + 0.330549i
\(100\) 2.02983 + 1.84173i 0.202983 + 0.184173i
\(101\) 3.02703 + 0.176304i 0.301201 + 0.0175429i 0.208080 0.978112i \(-0.433279\pi\)
0.0931209 + 0.995655i \(0.470316\pi\)
\(102\) 4.94072 + 2.43818i 0.489205 + 0.241416i
\(103\) 11.3199 4.88291i 1.11538 0.481128i 0.243034 0.970018i \(-0.421857\pi\)
0.872345 + 0.488890i \(0.162598\pi\)
\(104\) −7.54150 4.35310i −0.739505 0.426857i
\(105\) −1.23126 0.0391925i −0.120158 0.00382480i
\(106\) −7.98520 + 2.22311i −0.775591 + 0.215928i
\(107\) 0.727703 1.26042i 0.0703497 0.121849i −0.828705 0.559686i \(-0.810922\pi\)
0.899055 + 0.437837i \(0.144255\pi\)
\(108\) −0.789094 + 10.3623i −0.0759306 + 0.997113i
\(109\) −4.59456 7.95802i −0.440079 0.762240i 0.557616 0.830099i \(-0.311716\pi\)
−0.997695 + 0.0678595i \(0.978383\pi\)
\(110\) 5.39267 + 5.28875i 0.514171 + 0.504263i
\(111\) 15.1976 + 13.5993i 1.44250 + 1.29079i
\(112\) −0.771407 + 1.27859i −0.0728911 + 0.120816i
\(113\) −9.49420 7.06817i −0.893139 0.664918i 0.0494844 0.998775i \(-0.484242\pi\)
−0.942624 + 0.333857i \(0.891650\pi\)
\(114\) 9.28774 + 9.70744i 0.869877 + 0.909185i
\(115\) −0.451209 + 0.686031i −0.0420755 + 0.0639727i
\(116\) 2.74298 + 0.593980i 0.254680 + 0.0551497i
\(117\) 7.97317 + 4.66158i 0.737120 + 0.430963i
\(118\) 2.74425 + 17.5429i 0.252628 + 1.61495i
\(119\) −0.501433 0.673541i −0.0459662 0.0617434i
\(120\) 8.86724 2.91239i 0.809465 0.265863i
\(121\) 2.15529 + 2.28448i 0.195936 + 0.207680i
\(122\) 2.23983 6.98635i 0.202785 0.632514i
\(123\) −0.958307 + 0.377683i −0.0864076 + 0.0340545i
\(124\) −0.405979 5.21878i −0.0364580 0.468660i
\(125\) −4.15095 + 11.4047i −0.371273 + 1.02006i
\(126\) 0.825730 1.35158i 0.0735619 0.120408i
\(127\) 4.67687 + 12.8496i 0.415005 + 1.14022i 0.954496 + 0.298225i \(0.0963946\pi\)
−0.539491 + 0.841992i \(0.681383\pi\)
\(128\) 2.17775 11.1021i 0.192488 0.981299i
\(129\) −4.34211 + 1.15076i −0.382301 + 0.101319i
\(130\) 1.12226 8.21843i 0.0984291 0.720804i
\(131\) 15.3772 10.1138i 1.34351 0.883643i 0.345025 0.938593i \(-0.387870\pi\)
0.998489 + 0.0549502i \(0.0175000\pi\)
\(132\) −9.33714 + 2.67004i −0.812694 + 0.232397i
\(133\) −0.587249 1.96155i −0.0509210 0.170088i
\(134\) −2.14611 1.29509i −0.185395 0.111878i
\(135\) −9.42217 + 3.03670i −0.810931 + 0.261358i
\(136\) 5.31565 + 3.49541i 0.455813 + 0.299729i
\(137\) −0.395499 + 1.66874i −0.0337898 + 0.142570i −0.987325 0.158711i \(-0.949266\pi\)
0.953535 + 0.301281i \(0.0974143\pi\)
\(138\) −0.480398 0.940092i −0.0408942 0.0800259i
\(139\) −3.05343 + 6.07989i −0.258989 + 0.515689i −0.985120 0.171867i \(-0.945020\pi\)
0.726131 + 0.687556i \(0.241316\pi\)
\(140\) −1.40538 0.219704i −0.118777 0.0185684i
\(141\) 4.00248 + 5.74949i 0.337069 + 0.484195i
\(142\) −14.8847 + 7.11797i −1.24910 + 0.597327i
\(143\) −1.49872 + 8.49964i −0.125329 + 0.710775i
\(144\) −2.37531 + 11.7626i −0.197942 + 0.980214i
\(145\) 0.464240 + 2.63284i 0.0385531 + 0.218645i
\(146\) 11.5996 + 16.2276i 0.959992 + 1.34301i
\(147\) 10.1308 6.21063i 0.835574 0.512244i
\(148\) 15.4850 + 17.7415i 1.27286 + 1.45834i
\(149\) −1.98397 8.37105i −0.162534 0.685783i −0.991894 0.127069i \(-0.959443\pi\)
0.829360 0.558714i \(-0.188705\pi\)
\(150\) −2.17566 2.55631i −0.177642 0.208722i
\(151\) −11.6807 5.03855i −0.950560 0.410032i −0.136388 0.990655i \(-0.543549\pi\)
−0.814172 + 0.580624i \(0.802809\pi\)
\(152\) 9.26511 + 12.4427i 0.751500 + 1.00923i
\(153\) −5.61739 3.73874i −0.454139 0.302259i
\(154\) 1.45235 + 0.285183i 0.117034 + 0.0229807i
\(155\) 4.45591 2.23784i 0.357907 0.179748i
\(156\) 8.47501 + 6.47378i 0.678544 + 0.518317i
\(157\) −1.28817 0.150565i −0.102807 0.0120164i 0.0645338 0.997916i \(-0.479444\pi\)
−0.167341 + 0.985899i \(0.553518\pi\)
\(158\) 11.1665 + 17.7156i 0.888359 + 1.40938i
\(159\) 10.0486 1.44387i 0.796903 0.114506i
\(160\) 10.5748 2.07861i 0.836010 0.164329i
\(161\) 0.160900i 0.0126807i
\(162\) 2.58874 12.4619i 0.203391 0.979098i
\(163\) 15.2974i 1.19818i 0.800680 + 0.599092i \(0.204472\pi\)
−0.800680 + 0.599092i \(0.795528\pi\)
\(164\) −1.15178 + 0.296760i −0.0899389 + 0.0231730i
\(165\) −5.71784 7.27214i −0.445134 0.566135i
\(166\) 7.01648 4.42263i 0.544584 0.343263i
\(167\) 0.154650 + 0.0180760i 0.0119672 + 0.00139877i 0.122074 0.992521i \(-0.461045\pi\)
−0.110107 + 0.993920i \(0.535119\pi\)
\(168\) 1.13811 1.43161i 0.0878072 0.110451i
\(169\) −3.14741 + 1.58069i −0.242108 + 0.121591i
\(170\) −1.16768 + 5.94663i −0.0895569 + 0.456086i
\(171\) −9.75359 13.2519i −0.745875 1.01340i
\(172\) −5.13916 + 0.702289i −0.391857 + 0.0535490i
\(173\) 23.6145 + 10.1863i 1.79537 + 0.774449i 0.980972 + 0.194149i \(0.0621945\pi\)
0.814403 + 0.580300i \(0.197065\pi\)
\(174\) −3.23817 1.15300i −0.245485 0.0874089i
\(175\) 0.117984 + 0.497812i 0.00891872 + 0.0376310i
\(176\) −11.0789 + 1.73419i −0.835100 + 0.130719i
\(177\) −0.573117 21.7393i −0.0430781 1.63403i
\(178\) −15.9526 + 11.4030i −1.19570 + 0.854692i
\(179\) 1.88896 + 10.7128i 0.141188 + 0.800716i 0.970349 + 0.241707i \(0.0777072\pi\)
−0.829162 + 0.559009i \(0.811182\pi\)
\(180\) −11.2283 + 2.14229i −0.836911 + 0.159677i
\(181\) 3.61707 20.5134i 0.268855 1.52475i −0.488974 0.872298i \(-0.662629\pi\)
0.757829 0.652453i \(-0.226260\pi\)
\(182\) −0.701210 1.46633i −0.0519771 0.108692i
\(183\) −3.81966 + 8.13321i −0.282357 + 0.601224i
\(184\) −0.417051 1.14549i −0.0307454 0.0844465i
\(185\) −10.0674 + 20.0459i −0.740173 + 1.47381i
\(186\) −0.327974 + 6.40259i −0.0240482 + 0.469460i
\(187\) 1.45420 6.13574i 0.106341 0.448690i
\(188\) 3.77039 + 7.15678i 0.274984 + 0.521962i
\(189\) −1.21558 + 1.51171i −0.0884201 + 0.109961i
\(190\) −7.63513 + 12.6523i −0.553911 + 0.917894i
\(191\) 2.40172 + 8.02229i 0.173782 + 0.580473i 0.999857 + 0.0169122i \(0.00538358\pi\)
−0.826075 + 0.563560i \(0.809431\pi\)
\(192\) −4.39180 + 13.1420i −0.316951 + 0.948442i
\(193\) 11.0582 7.27309i 0.795987 0.523529i −0.0851626 0.996367i \(-0.527141\pi\)
0.881149 + 0.472838i \(0.156771\pi\)
\(194\) 22.4388 + 3.06412i 1.61101 + 0.219991i
\(195\) −2.65611 + 9.80552i −0.190208 + 0.702188i
\(196\) 12.4910 5.67882i 0.892212 0.405630i
\(197\) −5.92942 16.2909i −0.422454 1.16068i −0.950298 0.311341i \(-0.899222\pi\)
0.527845 0.849341i \(-0.323000\pi\)
\(198\) 11.7609 1.77400i 0.835814 0.126073i
\(199\) 5.85498 16.0864i 0.415048 1.14034i −0.539423 0.842035i \(-0.681358\pi\)
0.954472 0.298301i \(-0.0964200\pi\)
\(200\) −2.13028 3.23825i −0.150634 0.228979i
\(201\) 2.40290 + 1.91066i 0.169487 + 0.134767i
\(202\) −4.08340 1.30914i −0.287307 0.0921108i
\(203\) 0.359502 + 0.381050i 0.0252321 + 0.0267444i
\(204\) −5.90644 5.08183i −0.413533 0.355799i
\(205\) −0.676573 0.908795i −0.0472539 0.0634730i
\(206\) −17.2251 + 2.69453i −1.20013 + 0.187737i
\(207\) 0.435585 + 1.21741i 0.0302753 + 0.0846161i
\(208\) 8.79283 + 8.62169i 0.609673 + 0.597807i
\(209\) 8.44938 12.8467i 0.584456 0.888622i
\(210\) 1.67241 + 0.487962i 0.115407 + 0.0336726i
\(211\) 5.27859 + 3.92976i 0.363393 + 0.270536i 0.763333 0.646005i \(-0.223562\pi\)
−0.399940 + 0.916541i \(0.630969\pi\)
\(212\) 11.7200 0.228076i 0.804936 0.0156643i
\(213\) 19.1988 6.30364i 1.31548 0.431918i
\(214\) −1.44118 + 1.46950i −0.0985169 + 0.100453i
\(215\) −2.47046 4.27897i −0.168484 0.291823i
\(216\) 4.73566 13.9131i 0.322221 0.946665i
\(217\) 0.488538 0.846173i 0.0331641 0.0574420i
\(218\) 3.48542 + 12.5193i 0.236062 + 0.847912i
\(219\) −11.5358 21.5350i −0.779515 1.45520i
\(220\) −5.51994 9.14515i −0.372155 0.616566i
\(221\) −6.35837 + 2.74273i −0.427710 + 0.184496i
\(222\) −16.0168 23.9851i −1.07497 1.60977i
\(223\) −20.7479 1.20843i −1.38938 0.0809221i −0.652932 0.757417i \(-0.726461\pi\)
−0.736448 + 0.676495i \(0.763498\pi\)
\(224\) 1.50744 1.47897i 0.100720 0.0988180i
\(225\) 2.24037 + 3.44719i 0.149358 + 0.229813i
\(226\) 10.5094 + 13.0288i 0.699078 + 0.866662i
\(227\) 2.21526 0.258926i 0.147032 0.0171855i −0.0422586 0.999107i \(-0.513455\pi\)
0.189290 + 0.981921i \(0.439381\pi\)
\(228\) −9.29577 16.5705i −0.615627 1.09741i
\(229\) −4.37047 + 14.5984i −0.288809 + 0.964689i 0.683296 + 0.730142i \(0.260546\pi\)
−0.972105 + 0.234547i \(0.924639\pi\)
\(230\) 0.859917 0.780384i 0.0567012 0.0514570i
\(231\) −1.71915 0.574881i −0.113112 0.0378244i
\(232\) −3.54707 1.78097i −0.232877 0.116926i
\(233\) 18.3031 + 21.8128i 1.19908 + 1.42901i 0.875781 + 0.482708i \(0.160347\pi\)
0.323296 + 0.946298i \(0.395209\pi\)
\(234\) −9.27520 9.19641i −0.606339 0.601188i
\(235\) −4.95304 + 5.90280i −0.323101 + 0.385056i
\(236\) 2.42940 24.9933i 0.158140 1.62693i
\(237\) −10.7756 23.2741i −0.699950 1.51182i
\(238\) 0.449153 + 1.09929i 0.0291142 + 0.0712566i
\(239\) 0.0356117 + 0.611429i 0.00230353 + 0.0395501i 0.999264 0.0383584i \(-0.0122128\pi\)
−0.996961 + 0.0779085i \(0.975176\pi\)
\(240\) −13.1711 + 0.860941i −0.850193 + 0.0555735i
\(241\) −12.1891 + 12.9197i −0.785168 + 0.832230i −0.989175 0.146740i \(-0.953122\pi\)
0.204007 + 0.978969i \(0.434604\pi\)
\(242\) −2.14595 3.88886i −0.137947 0.249985i
\(243\) −5.10491 + 14.7289i −0.327480 + 0.944858i
\(244\) −5.53171 + 8.77792i −0.354131 + 0.561949i
\(245\) 9.50715 + 8.96953i 0.607389 + 0.573042i
\(246\) 1.44564 0.179233i 0.0921705 0.0114275i
\(247\) −16.8570 + 0.981810i −1.07259 + 0.0624711i
\(248\) −1.28476 + 7.29042i −0.0815824 + 0.462942i
\(249\) −9.21801 + 4.26781i −0.584168 + 0.270462i
\(250\) 9.70745 14.1548i 0.613953 0.895228i
\(251\) −10.4224 8.74540i −0.657853 0.552005i 0.251589 0.967834i \(-0.419047\pi\)
−0.909443 + 0.415830i \(0.863491\pi\)
\(252\) −1.60758 + 1.55977i −0.101268 + 0.0982563i
\(253\) −0.925594 + 0.776665i −0.0581916 + 0.0488285i
\(254\) −1.87279 19.2474i −0.117509 1.20769i
\(255\) 2.35385 7.03906i 0.147404 0.440803i
\(256\) −6.89840 + 14.4365i −0.431150 + 0.902280i
\(257\) −22.0565 6.60329i −1.37585 0.411902i −0.488324 0.872662i \(-0.662392\pi\)
−0.887525 + 0.460760i \(0.847577\pi\)
\(258\) 6.35250 0.0444505i 0.395490 0.00276737i
\(259\) 0.510299 + 4.36588i 0.0317084 + 0.271283i
\(260\) −4.43576 + 10.8595i −0.275094 + 0.673476i
\(261\) 3.75167 + 1.90990i 0.232223 + 0.118220i
\(262\) −24.6268 + 8.42719i −1.52145 + 0.520633i
\(263\) 0.216164 3.71139i 0.0133292 0.228854i −0.985064 0.172189i \(-0.944916\pi\)
0.998393 0.0566654i \(-0.0180468\pi\)
\(264\) 13.7292 0.363292i 0.844973 0.0223591i
\(265\) 4.42275 + 10.2531i 0.271687 + 0.629842i
\(266\) 0.112376 + 2.89352i 0.00689024 + 0.177413i
\(267\) 21.1700 11.3402i 1.29558 0.694011i
\(268\) 2.48234 + 2.53062i 0.151633 + 0.154582i
\(269\) −8.43080 4.86752i −0.514035 0.296778i 0.220456 0.975397i \(-0.429246\pi\)
−0.734491 + 0.678619i \(0.762579\pi\)
\(270\) 13.9750 0.835457i 0.850489 0.0508443i
\(271\) 10.4310 6.02233i 0.633637 0.365831i −0.148522 0.988909i \(-0.547452\pi\)
0.782159 + 0.623078i \(0.214118\pi\)
\(272\) −6.04700 6.66197i −0.366653 0.403941i
\(273\) 0.620989 + 1.89133i 0.0375839 + 0.114468i
\(274\) 1.13024 2.14588i 0.0682804 0.129637i
\(275\) −2.29421 + 3.08166i −0.138346 + 0.185831i
\(276\) 0.326328 + 1.45692i 0.0196426 + 0.0876963i
\(277\) 10.0300 + 6.59684i 0.602645 + 0.396366i 0.813849 0.581076i \(-0.197368\pi\)
−0.211204 + 0.977442i \(0.567738\pi\)
\(278\) 6.32623 7.24954i 0.379422 0.434798i
\(279\) 1.40568 7.72496i 0.0841558 0.462482i
\(280\) 1.84721 + 0.796594i 0.110392 + 0.0476056i
\(281\) −13.4492 + 10.0125i −0.802309 + 0.597297i −0.918269 0.395957i \(-0.870413\pi\)
0.115960 + 0.993254i \(0.463006\pi\)
\(282\) −3.45353 9.28580i −0.205654 0.552961i
\(283\) −3.64566 + 3.43950i −0.216712 + 0.204457i −0.786941 0.617029i \(-0.788336\pi\)
0.570228 + 0.821486i \(0.306855\pi\)
\(284\) 22.8956 4.49810i 1.35860 0.266913i
\(285\) 11.2642 14.1662i 0.667234 0.839133i
\(286\) 5.05050 11.1118i 0.298642 0.657055i
\(287\) −0.208623 0.0759325i −0.0123146 0.00448216i
\(288\) 7.40191 15.2713i 0.436162 0.899868i
\(289\) −11.2206 + 4.08398i −0.660037 + 0.240234i
\(290\) 0.292863 3.76947i 0.0171975 0.221351i
\(291\) −26.7720 7.25199i −1.56940 0.425119i
\(292\) −10.1622 26.3155i −0.594695 1.54000i
\(293\) 5.24967 + 7.98173i 0.306689 + 0.466298i 0.955642 0.294531i \(-0.0951633\pi\)
−0.648953 + 0.760828i \(0.724793\pi\)
\(294\) −16.0649 + 4.93227i −0.936927 + 0.287656i
\(295\) 22.9153 6.86038i 1.33418 0.399427i
\(296\) −14.9493 29.7592i −0.868910 1.72972i
\(297\) −14.5639 + 0.304337i −0.845085 + 0.0176594i
\(298\) −0.235525 + 12.1641i −0.0136436 + 0.704648i
\(299\) 1.29112 + 0.306000i 0.0746672 + 0.0176965i
\(300\) 2.07796 + 4.26832i 0.119971 + 0.246432i
\(301\) −0.865204 0.434522i −0.0498695 0.0250454i
\(302\) 14.2198 + 11.0204i 0.818255 + 0.634153i
\(303\) 4.75371 + 2.23252i 0.273094 + 0.128255i
\(304\) −8.30002 20.3085i −0.476039 1.16477i
\(305\) −9.73331 1.71624i −0.557328 0.0982719i
\(306\) 6.37442 + 7.10164i 0.364401 + 0.405974i
\(307\) 32.2648 5.68916i 1.84145 0.324697i 0.859108 0.511794i \(-0.171019\pi\)
0.982341 + 0.187097i \(0.0599078\pi\)
\(308\) −1.88843 0.902834i −0.107604 0.0514437i
\(309\) 21.3455 0.562735i 1.21430 0.0320129i
\(310\) −6.89179 + 1.49309i −0.391427 + 0.0848019i
\(311\) −29.0155 + 6.87680i −1.64532 + 0.389947i −0.945821 0.324688i \(-0.894741\pi\)
−0.699497 + 0.714636i \(0.746592\pi\)
\(312\) −9.32329 11.8553i −0.527827 0.671172i
\(313\) −7.61514 + 17.6539i −0.430433 + 0.997857i 0.555621 + 0.831435i \(0.312480\pi\)
−0.986055 + 0.166421i \(0.946779\pi\)
\(314\) 1.71107 + 0.660563i 0.0965611 + 0.0372777i
\(315\) −1.95453 0.855799i −0.110125 0.0482188i
\(316\) −9.04416 28.2005i −0.508774 1.58640i
\(317\) 5.77951 + 11.5080i 0.324610 + 0.646351i 0.995454 0.0952476i \(-0.0303643\pi\)
−0.670844 + 0.741598i \(0.734068\pi\)
\(318\) −14.2710 1.56690i −0.800279 0.0878675i
\(319\) −0.456711 + 3.90741i −0.0255709 + 0.218773i
\(320\) −15.2156 0.883212i −0.850576 0.0493730i
\(321\) 1.98165 1.55810i 0.110605 0.0869649i
\(322\) 0.0567522 0.220355i 0.00316268 0.0122799i
\(323\) 12.3368 0.686437
\(324\) −7.94087 + 16.1537i −0.441159 + 0.897429i
\(325\) 4.21901 0.234028
\(326\) 5.39567 20.9501i 0.298838 1.16032i
\(327\) −2.26371 15.7542i −0.125184 0.871211i
\(328\) 1.68206 0.000164906i 0.0928762 9.10541e-6i
\(329\) −0.175292 + 1.49972i −0.00966415 + 0.0826821i
\(330\) 5.26570 + 11.9761i 0.289867 + 0.659265i
\(331\) 10.7703 + 21.4455i 0.591990 + 1.17875i 0.967722 + 0.252021i \(0.0810953\pi\)
−0.375731 + 0.926729i \(0.622608\pi\)
\(332\) −11.1692 + 3.58205i −0.612988 + 0.196591i
\(333\) 15.6803 + 31.6521i 0.859277 + 1.73453i
\(334\) −0.205421 0.0793035i −0.0112401 0.00433929i
\(335\) −1.33746 + 3.10058i −0.0730732 + 0.169403i
\(336\) −2.06362 + 1.55919i −0.112580 + 0.0850607i
\(337\) 0.162370 0.0384824i 0.00884486 0.00209627i −0.226191 0.974083i \(-0.572627\pi\)
0.235036 + 0.971987i \(0.424479\pi\)
\(338\) 4.86798 1.05464i 0.264783 0.0573647i
\(339\) −10.7149 17.4782i −0.581954 0.949285i
\(340\) 3.69665 7.73218i 0.200479 0.419337i
\(341\) 7.22589 1.27412i 0.391304 0.0689975i
\(342\) 8.68357 + 21.5890i 0.469554 + 1.16740i
\(343\) 5.09582 + 0.898531i 0.275149 + 0.0485161i
\(344\) 7.28590 + 0.850876i 0.392830 + 0.0458761i
\(345\) −1.16723 + 0.812561i −0.0628416 + 0.0437468i
\(346\) −28.7476 22.2796i −1.54548 1.19776i
\(347\) 18.3859 + 9.23373i 0.987005 + 0.495693i 0.867659 0.497160i \(-0.165624\pi\)
0.119347 + 0.992853i \(0.461920\pi\)
\(348\) 4.02806 + 2.72122i 0.215927 + 0.145873i
\(349\) 15.9318 + 3.77590i 0.852807 + 0.202119i 0.633697 0.773581i \(-0.281536\pi\)
0.219110 + 0.975700i \(0.429685\pi\)
\(350\) 0.0140063 0.723379i 0.000748667 0.0386662i
\(351\) 9.81876 + 12.6292i 0.524087 + 0.674098i
\(352\) 15.7844 + 1.53271i 0.841312 + 0.0816938i
\(353\) −12.2567 + 3.66940i −0.652356 + 0.195303i −0.595845 0.803099i \(-0.703183\pi\)
−0.0565111 + 0.998402i \(0.517998\pi\)
\(354\) −6.88296 + 29.9746i −0.365825 + 1.59313i
\(355\) 12.2137 + 18.5701i 0.648238 + 0.985598i
\(356\) 25.8695 9.98991i 1.37108 0.529464i
\(357\) −0.372587 1.40586i −0.0197194 0.0744062i
\(358\) 1.19164 15.3377i 0.0629801 0.810625i
\(359\) −33.6581 + 12.2505i −1.77641 + 0.646559i −0.776542 + 0.630066i \(0.783028\pi\)
−0.999864 + 0.0164932i \(0.994750\pi\)
\(360\) 16.1331 + 1.02653i 0.850288 + 0.0541028i
\(361\) 10.4144 + 3.79053i 0.548126 + 0.199501i
\(362\) −12.1891 + 26.8178i −0.640646 + 1.40951i
\(363\) 1.99462 + 5.06102i 0.104691 + 0.265635i
\(364\) 0.443120 + 2.25550i 0.0232258 + 0.118221i
\(365\) 19.5457 18.4404i 1.02307 0.965216i
\(366\) 8.09984 9.79134i 0.423385 0.511801i
\(367\) −1.77755 + 1.32334i −0.0927874 + 0.0690776i −0.642553 0.766242i \(-0.722125\pi\)
0.549765 + 0.835319i \(0.314717\pi\)
\(368\) 0.167125 + 1.71587i 0.00871201 + 0.0894460i
\(369\) −1.78407 0.00974732i −0.0928748 0.000507425i
\(370\) 20.8582 23.9024i 1.08436 1.24263i
\(371\) 1.82811 + 1.20236i 0.0949105 + 0.0624236i
\(372\) 2.70748 8.65280i 0.140376 0.448627i
\(373\) −1.14227 + 1.53434i −0.0591446 + 0.0794450i −0.830711 0.556703i \(-0.812066\pi\)
0.771567 + 0.636148i \(0.219473\pi\)
\(374\) −4.15575 + 7.89011i −0.214888 + 0.407988i
\(375\) −14.0176 + 15.6651i −0.723867 + 0.808943i
\(376\) −2.63931 11.1312i −0.136112 0.574050i
\(377\) 3.74139 2.16009i 0.192691 0.111250i
\(378\) 2.19797 1.64157i 0.113051 0.0844333i
\(379\) 7.93023 + 4.57852i 0.407348 + 0.235183i 0.689650 0.724143i \(-0.257764\pi\)
−0.282301 + 0.959326i \(0.591098\pi\)
\(380\) 14.9192 14.6345i 0.765338 0.750736i
\(381\) −0.753527 + 23.6725i −0.0386043 + 1.21278i
\(382\) −0.459594 11.8338i −0.0235149 0.605471i
\(383\) 7.57810 + 17.5680i 0.387223 + 0.897683i 0.994649 + 0.103307i \(0.0329426\pi\)
−0.607427 + 0.794376i \(0.707798\pi\)
\(384\) 10.6501 16.4492i 0.543485 0.839419i
\(385\) 0.115934 1.99051i 0.00590854 0.101446i
\(386\) −17.7098 + 6.06023i −0.901405 + 0.308457i
\(387\) −7.72273 0.945455i −0.392568 0.0480602i
\(388\) −29.6497 12.1110i −1.50523 0.614841i
\(389\) −1.91556 16.3887i −0.0971230 0.830940i −0.950729 0.310022i \(-0.899664\pi\)
0.853606 0.520918i \(-0.174410\pi\)
\(390\) 7.09619 12.4920i 0.359330 0.632558i
\(391\) −0.928707 0.278037i −0.0469668 0.0140609i
\(392\) −19.1097 + 3.37148i −0.965184 + 0.170286i
\(393\) 31.2374 6.36109i 1.57572 0.320875i
\(394\) 2.37435 + 24.4022i 0.119618 + 1.22937i
\(395\) 21.6107 18.1335i 1.08735 0.912395i
\(396\) −16.7326 1.71877i −0.840845 0.0863715i
\(397\) −3.02478 2.53809i −0.151809 0.127383i 0.563720 0.825966i \(-0.309370\pi\)
−0.715529 + 0.698583i \(0.753814\pi\)
\(398\) −13.6925 + 19.9655i −0.686343 + 1.00078i
\(399\) 0.318747 3.53214i 0.0159573 0.176828i
\(400\) 1.77528 + 5.18624i 0.0887640 + 0.259312i
\(401\) −13.9672 + 0.813498i −0.697490 + 0.0406242i −0.403226 0.915100i \(-0.632111\pi\)
−0.294263 + 0.955724i \(0.595074\pi\)
\(402\) −2.61690 3.46423i −0.130519 0.172780i
\(403\) −5.86090 5.52947i −0.291952 0.275443i
\(404\) 5.13054 + 3.23319i 0.255254 + 0.160857i
\(405\) −17.1054 1.18395i −0.849974 0.0588308i
\(406\) −0.357942 0.648659i −0.0177644 0.0321924i
\(407\) −22.6520 + 24.0098i −1.12282 + 1.19012i
\(408\) 6.29654 + 9.04299i 0.311725 + 0.447695i
\(409\) −0.769240 13.2073i −0.0380365 0.653061i −0.962415 0.271584i \(-0.912453\pi\)
0.924378 0.381477i \(-0.124585\pi\)
\(410\) 0.606032 + 1.48325i 0.0299298 + 0.0732527i
\(411\) −1.71040 + 2.42856i −0.0843678 + 0.119792i
\(412\) 24.5405 + 2.38538i 1.20903 + 0.117519i
\(413\) 3.01289 3.59062i 0.148255 0.176683i
\(414\) −0.167139 1.82091i −0.00821443 0.0894931i
\(415\) −7.18200 8.55918i −0.352551 0.420154i
\(416\) −9.00094 14.9090i −0.441308 0.730973i
\(417\) −8.82440 + 7.80996i −0.432133 + 0.382455i
\(418\) −16.1029 + 14.6135i −0.787617 + 0.714771i
\(419\) 8.44747 28.2165i 0.412686 1.37847i −0.459015 0.888429i \(-0.651797\pi\)
0.871701 0.490039i \(-0.163017\pi\)
\(420\) −2.11829 1.25816i −0.103362 0.0613921i
\(421\) −11.8789 + 1.38845i −0.578944 + 0.0676688i −0.400525 0.916286i \(-0.631172\pi\)
−0.178419 + 0.983955i \(0.557098\pi\)
\(422\) −5.84304 7.24375i −0.284435 0.352620i
\(423\) 2.73370 + 11.8219i 0.132917 + 0.574798i
\(424\) −16.1313 3.82152i −0.783405 0.185589i
\(425\) −3.07723 0.179228i −0.149268 0.00869386i
\(426\) −28.5166 + 1.86120i −1.38163 + 0.0901755i
\(427\) −1.77830 + 0.767084i −0.0860580 + 0.0371218i
\(428\) 2.49204 1.50418i 0.120457 0.0727071i
\(429\) −7.88255 + 12.7018i −0.380573 + 0.613248i
\(430\) 1.87408 + 6.73151i 0.0903763 + 0.324622i
\(431\) −14.0648 + 24.3609i −0.677475 + 1.17342i 0.298263 + 0.954484i \(0.403593\pi\)
−0.975739 + 0.218938i \(0.929741\pi\)
\(432\) −11.3930 + 17.3839i −0.548145 + 0.836383i
\(433\) −15.3019 26.5036i −0.735360 1.27368i −0.954565 0.298003i \(-0.903680\pi\)
0.219205 0.975679i \(-0.429654\pi\)
\(434\) −0.967525 + 0.986536i −0.0464427 + 0.0473553i
\(435\) −0.948765 + 4.53232i −0.0454898 + 0.217308i
\(436\) −0.357580 18.3748i −0.0171250 0.879992i
\(437\) −1.89616 1.41164i −0.0907056 0.0675278i
\(438\) 8.20269 + 33.5616i 0.391940 + 1.60363i
\(439\) 21.5151 32.7122i 1.02686 1.56127i 0.215686 0.976463i \(-0.430801\pi\)
0.811175 0.584804i \(-0.198829\pi\)
\(440\) 4.33402 + 14.4715i 0.206616 + 0.689900i
\(441\) 20.2884 3.46322i 0.966116 0.164915i
\(442\) 9.67533 1.51352i 0.460209 0.0719907i
\(443\) −19.4866 26.1750i −0.925836 1.24361i −0.969631 0.244573i \(-0.921352\pi\)
0.0437953 0.999041i \(-0.486055\pi\)
\(444\) 13.4753 + 38.4975i 0.639511 + 1.82701i
\(445\) 18.1279 + 19.2144i 0.859343 + 0.910850i
\(446\) 27.9884 + 8.97311i 1.32529 + 0.424889i
\(447\) 2.19986 14.7375i 0.104050 0.697057i
\(448\) −2.58613 + 1.49378i −0.122183 + 0.0705746i
\(449\) 9.92060 27.2566i 0.468182 1.28632i −0.451013 0.892517i \(-0.648937\pi\)
0.919195 0.393802i \(-0.128841\pi\)
\(450\) −1.85235 5.51122i −0.0873205 0.259802i
\(451\) −0.570216 1.56666i −0.0268504 0.0737709i
\(452\) −9.79741 21.5501i −0.460832 1.01363i
\(453\) −15.5374 15.6226i −0.730012 0.734012i
\(454\) −3.12517 0.426756i −0.146671 0.0200287i
\(455\) −1.82939 + 1.20321i −0.0857630 + 0.0564072i
\(456\) 6.88604 + 25.9725i 0.322468 + 1.21627i
\(457\) 6.26302 + 20.9200i 0.292972 + 0.978594i 0.970095 + 0.242725i \(0.0780412\pi\)
−0.677123 + 0.735870i \(0.736774\pi\)
\(458\) 11.1346 18.4513i 0.520285 0.862172i
\(459\) −6.62504 9.62853i −0.309230 0.449421i
\(460\) −1.45293 + 0.765445i −0.0677432 + 0.0356890i
\(461\) −0.443238 + 1.87017i −0.0206437 + 0.0871024i −0.982392 0.186834i \(-0.940177\pi\)
0.961748 + 0.273936i \(0.0883256\pi\)
\(462\) 2.15164 + 1.39369i 0.100104 + 0.0648402i
\(463\) −14.1665 + 28.2079i −0.658375 + 1.31093i 0.278219 + 0.960518i \(0.410256\pi\)
−0.936595 + 0.350415i \(0.886041\pi\)
\(464\) 4.22961 + 3.69019i 0.196355 + 0.171313i
\(465\) 8.60566 0.729215i 0.399078 0.0338165i
\(466\) −17.3728 36.3290i −0.804777 1.68291i
\(467\) −2.57652 + 14.6122i −0.119227 + 0.676170i 0.865343 + 0.501180i \(0.167101\pi\)
−0.984570 + 0.174990i \(0.944011\pi\)
\(468\) 9.45885 + 15.8662i 0.437235 + 0.733416i
\(469\) 0.114900 + 0.651629i 0.00530558 + 0.0300894i
\(470\) 8.86532 6.33699i 0.408927 0.292304i
\(471\) −1.97433 1.07152i −0.0909724 0.0493731i
\(472\) −12.1427 + 33.3720i −0.558914 + 1.53607i
\(473\) −1.67672 7.07464i −0.0770956 0.325292i
\(474\) 6.54820 + 35.6752i 0.300769 + 1.63861i
\(475\) −6.90171 2.97711i −0.316672 0.136599i
\(476\) −0.227383 1.66393i −0.0104221 0.0762661i
\(477\) 17.0870 + 4.14842i 0.782361 + 0.189943i
\(478\) 0.166891 0.849926i 0.00763343 0.0388747i
\(479\) −15.1246 + 7.59587i −0.691061 + 0.347064i −0.759423 0.650597i \(-0.774519\pi\)
0.0683624 + 0.997661i \(0.478223\pi\)
\(480\) 18.3418 + 3.46662i 0.837186 + 0.158229i
\(481\) 36.0039 + 4.20826i 1.64164 + 0.191880i
\(482\) 21.2502 13.3945i 0.967922 0.610101i
\(483\) −0.103600 + 0.258714i −0.00471395 + 0.0117719i
\(484\) 1.56725 + 6.08279i 0.0712386 + 0.276490i
\(485\) 30.5088i 1.38533i
\(486\) 12.1864 18.3709i 0.552788 0.833322i
\(487\) 13.8195i 0.626223i −0.949716 0.313112i \(-0.898629\pi\)
0.949716 0.313112i \(-0.101371\pi\)
\(488\) 10.6719 10.0704i 0.483096 0.455867i
\(489\) −9.84966 + 24.5970i −0.445417 + 1.11232i
\(490\) −9.85653 15.6373i −0.445272 0.706422i
\(491\) −25.3094 2.95824i −1.14220 0.133504i −0.476116 0.879383i \(-0.657956\pi\)
−0.666081 + 0.745879i \(0.732030\pi\)
\(492\) −2.04305 0.264439i −0.0921079 0.0119218i
\(493\) −2.82063 + 1.41657i −0.127035 + 0.0637993i
\(494\) 23.4324 + 4.60117i 1.05427 + 0.207017i
\(495\) −4.51149 15.3746i −0.202776 0.691039i
\(496\) 4.33098 9.53124i 0.194467 0.427965i
\(497\) 3.99917 + 1.72507i 0.179387 + 0.0773801i
\(498\) 14.1296 2.59350i 0.633163 0.116218i
\(499\) −2.05615 8.67557i −0.0920458 0.388372i 0.907449 0.420163i \(-0.138027\pi\)
−0.999495 + 0.0317910i \(0.989879\pi\)
\(500\) −18.2872 + 15.9613i −0.817829 + 0.713812i
\(501\) 0.237027 + 0.128641i 0.0105896 + 0.00574725i
\(502\) 11.1890 + 15.6532i 0.499389 + 0.698635i
\(503\) −1.14091 6.47045i −0.0508708 0.288503i 0.948750 0.316027i \(-0.102349\pi\)
−0.999621 + 0.0275238i \(0.991238\pi\)
\(504\) 2.75178 1.56912i 0.122574 0.0698939i
\(505\) −1.00311 + 5.68894i −0.0446380 + 0.253155i
\(506\) 1.54156 0.737186i 0.0685309 0.0327719i
\(507\) −6.07856 + 0.515077i −0.269958 + 0.0228754i
\(508\) −4.22409 + 27.0203i −0.187414 + 1.19883i
\(509\) −10.9961 + 21.8950i −0.487393 + 0.970479i 0.506718 + 0.862112i \(0.330858\pi\)
−0.994111 + 0.108367i \(0.965438\pi\)
\(510\) −5.70645 + 8.80989i −0.252686 + 0.390109i
\(511\) 1.21432 5.12363i 0.0537185 0.226656i
\(512\) 14.5395 17.3379i 0.642562 0.766233i
\(513\) −7.15042 27.5881i −0.315699 1.21805i
\(514\) 27.8778 + 16.8231i 1.22964 + 0.742035i
\(515\) 6.73610 + 22.5001i 0.296828 + 0.991475i
\(516\) −8.71557 2.17977i −0.383682 0.0959589i
\(517\) −9.47343 + 6.23078i −0.416641 + 0.274029i
\(518\) 0.841062 6.15916i 0.0369541 0.270618i
\(519\) 31.4115 + 31.5836i 1.37881 + 1.38637i
\(520\) 9.90520 13.3077i 0.434372 0.583582i
\(521\) −3.96973 10.9067i −0.173917 0.477833i 0.821855 0.569697i \(-0.192940\pi\)
−0.995772 + 0.0918645i \(0.970717\pi\)
\(522\) −4.46434 3.93893i −0.195399 0.172402i
\(523\) 0.310538 0.853195i 0.0135789 0.0373076i −0.932718 0.360607i \(-0.882570\pi\)
0.946297 + 0.323299i \(0.104792\pi\)
\(524\) 36.6993 2.85491i 1.60322 0.124717i
\(525\) −0.130822 + 0.876411i −0.00570953 + 0.0382497i
\(526\) −1.60512 + 5.00658i −0.0699863 + 0.218297i
\(527\) 4.03989 + 4.28203i 0.175980 + 0.186528i
\(528\) −18.9306 4.34500i −0.823847 0.189092i
\(529\) −13.6237 18.2998i −0.592336 0.795645i
\(530\) −2.44060 15.6018i −0.106013 0.677699i
\(531\) 13.0759 35.3242i 0.567448 1.53294i
\(532\) 0.866695 4.00237i 0.0375760 0.173525i
\(533\) −1.00607 + 1.52966i −0.0435778 + 0.0662568i
\(534\) −32.9927 + 8.06365i −1.42773 + 0.348948i
\(535\) 2.22410 + 1.65578i 0.0961560 + 0.0715855i
\(536\) −2.50702 4.34131i −0.108287 0.187516i
\(537\) −3.86046 + 18.4417i −0.166591 + 0.795818i
\(538\) 9.82930 + 9.63988i 0.423771 + 0.415605i
\(539\) 9.61669 + 16.6566i 0.414220 + 0.717450i
\(540\) −19.4337 3.78505i −0.836293 0.162882i
\(541\) −10.7229 + 18.5725i −0.461012 + 0.798496i −0.999012 0.0444493i \(-0.985847\pi\)
0.538000 + 0.842945i \(0.319180\pi\)
\(542\) −16.4096 + 4.56852i −0.704855 + 0.196235i
\(543\) 19.0241 30.6551i 0.816404 1.31554i
\(544\) 5.93170 + 11.2566i 0.254320 + 0.482623i
\(545\) 16.0749 6.93402i 0.688572 0.297021i
\(546\) −0.183352 2.80925i −0.00784674 0.120225i
\(547\) 0.284241 + 0.0165551i 0.0121533 + 0.000707847i 0.0642204 0.997936i \(-0.479544\pi\)
−0.0520671 + 0.998644i \(0.516581\pi\)
\(548\) −2.30478 + 2.54017i −0.0984553 + 0.108511i
\(549\) −11.3785 + 10.6182i −0.485623 + 0.453173i
\(550\) 4.22893 3.41119i 0.180322 0.145454i
\(551\) −7.64463 + 0.893529i −0.325672 + 0.0380656i
\(552\) 0.0669693 2.11039i 0.00285040 0.0898240i
\(553\) 1.58544 5.29574i 0.0674197 0.225198i
\(554\) −11.4095 12.5723i −0.484743 0.534145i
\(555\) −29.0948 + 25.7501i −1.23501 + 1.09303i
\(556\) −11.2210 + 7.69702i −0.475875 + 0.326426i
\(557\) −10.3565 12.3424i −0.438818 0.522963i 0.500627 0.865663i \(-0.333103\pi\)
−0.939445 + 0.342701i \(0.888658\pi\)
\(558\) −4.64985 + 10.0837i −0.196844 + 0.426877i
\(559\) −5.13222 + 6.11634i −0.217070 + 0.258693i
\(560\) −2.24882 1.74250i −0.0950301 0.0736340i
\(561\) 6.28892 8.92948i 0.265518 0.377003i
\(562\) 21.9505 8.96861i 0.925926 0.378318i
\(563\) 2.28804 + 39.2842i 0.0964295 + 1.65563i 0.606195 + 0.795316i \(0.292695\pi\)
−0.509765 + 0.860314i \(0.670268\pi\)
\(564\) 1.45441 + 13.9352i 0.0612416 + 0.586779i
\(565\) 15.4747 16.4022i 0.651026 0.690048i
\(566\) 6.20599 3.42458i 0.260857 0.143946i
\(567\) −2.92791 + 1.64804i −0.122961 + 0.0692112i
\(568\) −32.9426 1.91545i −1.38224 0.0803703i
\(569\) −20.3680 19.2162i −0.853870 0.805585i 0.128660 0.991689i \(-0.458932\pi\)
−0.982530 + 0.186104i \(0.940414\pi\)
\(570\) −20.4233 + 15.4278i −0.855436 + 0.646201i
\(571\) −6.46793 + 0.376714i −0.270674 + 0.0157650i −0.192945 0.981210i \(-0.561804\pi\)
−0.0777291 + 0.996975i \(0.524767\pi\)
\(572\) −10.8361 + 13.4365i −0.453080 + 0.561807i
\(573\) −1.30360 + 14.4456i −0.0544588 + 0.603476i
\(574\) 0.258931 + 0.177576i 0.0108076 + 0.00741189i
\(575\) 0.452462 + 0.379660i 0.0188690 + 0.0158329i
\(576\) −15.5235 + 18.3036i −0.646814 + 0.762648i
\(577\) −3.29978 + 2.76884i −0.137372 + 0.115269i −0.708884 0.705325i \(-0.750801\pi\)
0.571513 + 0.820593i \(0.306357\pi\)
\(578\) 16.8074 1.63537i 0.699096 0.0680225i
\(579\) 22.4637 4.57444i 0.933561 0.190107i
\(580\) −1.73064 + 5.05908i −0.0718611 + 0.210067i
\(581\) −2.09744 0.627933i −0.0870166 0.0260511i
\(582\) 34.1070 + 19.3747i 1.41378 + 0.803109i
\(583\) 1.90756 + 16.3202i 0.0790031 + 0.675915i
\(584\) 4.63533 + 39.6241i 0.191811 + 1.63966i
\(585\) −10.5844 + 14.0563i −0.437611 + 0.581157i
\(586\) −4.37423 12.7828i −0.180698 0.528053i
\(587\) 1.65326 28.3855i 0.0682375 1.17159i −0.774251 0.632879i \(-0.781873\pi\)
0.842488 0.538715i \(-0.181090\pi\)
\(588\) 23.7410 1.08845i 0.979062 0.0448871i
\(589\) 5.68578 + 13.1811i 0.234279 + 0.543119i
\(590\) −33.8028 + 1.31281i −1.39164 + 0.0540474i
\(591\) 0.955335 30.0124i 0.0392972 1.23455i
\(592\) 9.97676 + 46.0288i 0.410042 + 1.89177i
\(593\) 3.23496 + 1.86770i 0.132844 + 0.0766974i 0.564949 0.825126i \(-0.308896\pi\)
−0.432105 + 0.901823i \(0.642229\pi\)
\(594\) 20.0530 + 4.72017i 0.822783 + 0.193671i
\(595\) 1.38542 0.799873i 0.0567967 0.0327916i
\(596\) 4.61306 16.5759i 0.188958 0.678977i
\(597\) 19.7721 22.0958i 0.809217 0.904323i
\(598\) −1.66028 0.874474i −0.0678939 0.0357599i
\(599\) −9.95206 + 13.3679i −0.406630 + 0.546199i −0.957516 0.288382i \(-0.906883\pi\)
0.550885 + 0.834581i \(0.314290\pi\)
\(600\) −1.34030 6.57850i −0.0547173 0.268566i
\(601\) −27.6516 18.1867i −1.12793 0.741852i −0.158535 0.987353i \(-0.550677\pi\)
−0.969396 + 0.245501i \(0.921048\pi\)
\(602\) 1.03165 + 0.900261i 0.0420470 + 0.0366919i
\(603\) 2.63345 + 4.61937i 0.107242 + 0.188115i
\(604\) −15.5872 20.1082i −0.634233 0.818193i
\(605\) −4.79953 + 3.57312i −0.195129 + 0.145268i
\(606\) −5.72286 4.73421i −0.232475 0.192314i
\(607\) 30.8296 29.0862i 1.25133 1.18057i 0.275682 0.961249i \(-0.411096\pi\)
0.975652 0.219324i \(-0.0703851\pi\)
\(608\) 4.20389 + 30.7405i 0.170490 + 1.24669i
\(609\) 0.332702 + 0.844175i 0.0134818 + 0.0342077i
\(610\) 12.7246 + 5.78355i 0.515205 + 0.234169i
\(611\) 11.7009 + 4.25878i 0.473368 + 0.172292i
\(612\) −6.22502 11.9742i −0.251632 0.484029i
\(613\) −9.14796 + 3.32959i −0.369483 + 0.134481i −0.520087 0.854113i \(-0.674100\pi\)
0.150604 + 0.988594i \(0.451878\pi\)
\(614\) −46.1940 3.58896i −1.86424 0.144839i
\(615\) −0.502724 1.89690i −0.0202718 0.0764905i
\(616\) 2.26781 + 1.90254i 0.0913725 + 0.0766553i
\(617\) −9.40375 14.2977i −0.378581 0.575604i 0.595063 0.803679i \(-0.297127\pi\)
−0.973643 + 0.228075i \(0.926757\pi\)
\(618\) −29.4316 6.75826i −1.18391 0.271857i
\(619\) 28.5270 8.54042i 1.14660 0.343269i 0.343521 0.939145i \(-0.388380\pi\)
0.803076 + 0.595877i \(0.203195\pi\)
\(620\) 9.96510 + 0.386039i 0.400208 + 0.0155037i
\(621\) −0.0834794 + 2.23797i −0.00334991 + 0.0898068i
\(622\) 42.1629 + 0.816371i 1.69058 + 0.0327335i
\(623\) 5.03679 + 1.19374i 0.201795 + 0.0478262i
\(624\) 8.58688 + 19.5245i 0.343750 + 0.781607i
\(625\) −14.5393 7.30191i −0.581572 0.292076i
\(626\) 16.6560 21.4914i 0.665706 0.858968i
\(627\) 21.8577 15.2161i 0.872911 0.607672i
\(628\) −2.11035 1.50818i −0.0842122 0.0601830i
\(629\) −26.0816 4.59888i −1.03994 0.183369i
\(630\) 2.37492 + 1.86143i 0.0946191 + 0.0741613i
\(631\) 30.5302 5.38330i 1.21539 0.214306i 0.471049 0.882107i \(-0.343876\pi\)
0.744339 + 0.667802i \(0.232765\pi\)
\(632\) 2.43934 + 41.8112i 0.0970317 + 1.66316i
\(633\) 5.95728 + 9.71753i 0.236781 + 0.386237i
\(634\) −3.85610 17.7989i −0.153145 0.706886i
\(635\) −25.3492 + 6.00788i −1.00595 + 0.238415i
\(636\) 18.9918 + 7.17955i 0.753074 + 0.284688i
\(637\) 8.36574 19.3940i 0.331463 0.768417i
\(638\) 2.00369 5.19019i 0.0793269 0.205482i
\(639\) 34.9290 + 2.22593i 1.38177 + 0.0880564i
\(640\) 20.5265 + 6.57638i 0.811382 + 0.259954i
\(641\) 4.75375 + 9.46549i 0.187762 + 0.373865i 0.967743 0.251938i \(-0.0810679\pi\)
−0.779982 + 0.625803i \(0.784772\pi\)
\(642\) −3.26348 + 1.43489i −0.128799 + 0.0566308i
\(643\) 0.952412 8.14841i 0.0375595 0.321342i −0.961377 0.275235i \(-0.911244\pi\)
0.998937 0.0461070i \(-0.0146815\pi\)
\(644\) −0.155447 + 0.281764i −0.00612546 + 0.0111031i
\(645\) −1.21718 8.47093i −0.0479265 0.333543i
\(646\) −16.8955 4.35141i −0.664744 0.171204i
\(647\) 37.3300 1.46759 0.733797 0.679369i \(-0.237747\pi\)
0.733797 + 0.679369i \(0.237747\pi\)
\(648\) 16.5729 19.3220i 0.651045 0.759039i
\(649\) 35.1988 1.38167
\(650\) −5.77802 1.48812i −0.226633 0.0583689i
\(651\) 1.33037 1.04602i 0.0521411 0.0409969i
\(652\) −14.7790 + 26.7885i −0.578789 + 1.04912i
\(653\) −1.33461 + 11.4183i −0.0522273 + 0.446833i 0.941671 + 0.336534i \(0.109255\pi\)
−0.993898 + 0.110299i \(0.964819\pi\)
\(654\) −2.45660 + 22.3742i −0.0960607 + 0.874901i
\(655\) 15.7369 + 31.3347i 0.614890 + 1.22435i
\(656\) −2.30368 0.593067i −0.0899434 0.0231554i
\(657\) −4.68269 42.0544i −0.182689 1.64070i
\(658\) 0.769043 1.99207i 0.0299804 0.0776588i
\(659\) 4.00550 9.28578i 0.156032 0.361723i −0.822212 0.569182i \(-0.807260\pi\)
0.978244 + 0.207459i \(0.0665193\pi\)
\(660\) −2.98728 18.2589i −0.116280 0.710726i
\(661\) −2.93364 + 0.695286i −0.114105 + 0.0270435i −0.287272 0.957849i \(-0.592748\pi\)
0.173166 + 0.984893i \(0.444600\pi\)
\(662\) −7.18598 33.1689i −0.279291 1.28915i
\(663\) −11.9898 + 0.316088i −0.465644 + 0.0122758i
\(664\) 16.5599 0.966132i 0.642648 0.0374932i
\(665\) 3.84166 0.677388i 0.148973 0.0262680i
\(666\) −10.3103 48.8790i −0.399515 1.89402i
\(667\) 0.595622 + 0.105024i 0.0230626 + 0.00406656i
\(668\) 0.253357 + 0.181064i 0.00980268 + 0.00700556i
\(669\) −32.5829 15.3022i −1.25973 0.591616i
\(670\) 2.92531 3.77456i 0.113015 0.145824i
\(671\) −12.9966 6.52716i −0.501730 0.251978i
\(672\) 3.37613 1.40747i 0.130237 0.0542941i
\(673\) 11.6884 + 2.77020i 0.450555 + 0.106784i 0.449628 0.893216i \(-0.351557\pi\)
0.000927386 1.00000i \(0.499705\pi\)
\(674\) −0.235943 0.00456839i −0.00908818 0.000175968i
\(675\) 1.38277 + 6.98535i 0.0532229 + 0.268866i
\(676\) −7.03879 0.272676i −0.270723 0.0104876i
\(677\) −45.7315 + 13.6911i −1.75760 + 0.526192i −0.992980 0.118285i \(-0.962260\pi\)
−0.764624 + 0.644477i \(0.777075\pi\)
\(678\) 8.50942 + 27.7161i 0.326802 + 1.06443i
\(679\) −3.28512 4.99478i −0.126071 0.191682i
\(680\) −7.78992 + 9.28552i −0.298730 + 0.356083i
\(681\) 3.72868 + 1.01002i 0.142883 + 0.0387041i
\(682\) −10.3454 0.803770i −0.396147 0.0307779i
\(683\) 39.6109 14.4172i 1.51567 0.551659i 0.555608 0.831445i \(-0.312486\pi\)
0.960062 + 0.279786i \(0.0902634\pi\)
\(684\) −4.27750 32.6295i −0.163554 1.24762i
\(685\) −3.07023 1.11747i −0.117307 0.0426964i
\(686\) −6.66191 3.02795i −0.254353 0.115608i
\(687\) −16.4270 + 20.6591i −0.626729 + 0.788192i
\(688\) −9.67808 3.73516i −0.368973 0.142402i
\(689\) 13.1249 12.3827i 0.500019 0.471744i
\(690\) 1.88515 0.701116i 0.0717666 0.0266910i
\(691\) −29.8944 + 22.2555i −1.13724 + 0.846640i −0.989805 0.142432i \(-0.954508\pi\)
−0.147431 + 0.989072i \(0.547100\pi\)
\(692\) 31.5121 + 40.6522i 1.19791 + 1.54537i
\(693\) −2.39411 2.03129i −0.0909447 0.0771623i
\(694\) −21.9229 19.1308i −0.832184 0.726196i
\(695\) −10.8294 7.12262i −0.410783 0.270176i
\(696\) −4.55669 5.14755i −0.172721 0.195117i
\(697\) 0.798784 1.07295i 0.0302561 0.0406410i
\(698\) −20.4871 10.7906i −0.775447 0.408430i
\(699\) 15.3852 + 46.8584i 0.581923 + 1.77235i
\(700\) −0.274331 + 0.985743i −0.0103687 + 0.0372576i
\(701\) −5.80815 + 3.35334i −0.219371 + 0.126654i −0.605659 0.795724i \(-0.707090\pi\)
0.386288 + 0.922378i \(0.373757\pi\)
\(702\) −8.99245 20.7592i −0.339398 0.783507i
\(703\) −55.9279 32.2900i −2.10936 1.21784i
\(704\) −21.0765 7.66653i −0.794350 0.288943i
\(705\) −11.7648 + 6.30210i −0.443088 + 0.237351i
\(706\) 18.0800 0.702179i 0.680451 0.0264269i
\(707\) 0.448347 + 1.03939i 0.0168618 + 0.0390901i
\(708\) 19.9990 38.6231i 0.751607 1.45155i
\(709\) 0.773318 13.2774i 0.0290426 0.498642i −0.952153 0.305623i \(-0.901135\pi\)
0.981195 0.193018i \(-0.0618277\pi\)
\(710\) −10.1770 29.7401i −0.381935 1.11613i
\(711\) −2.34063 44.3612i −0.0877806 1.66368i
\(712\) −38.9524 + 4.55676i −1.45980 + 0.170772i
\(713\) −0.130957 1.12041i −0.00490439 0.0419597i
\(714\) 0.0143920 + 2.05678i 0.000538605 + 0.0769731i
\(715\) −15.7521 4.71586i −0.589094 0.176363i
\(716\) −7.04188 + 20.5851i −0.263167 + 0.769300i
\(717\) −0.336425 + 1.00606i −0.0125640 + 0.0375721i
\(718\) 50.4165 4.90556i 1.88153 0.183074i
\(719\) 7.54949 6.33478i 0.281549 0.236247i −0.491066 0.871122i \(-0.663393\pi\)
0.772615 + 0.634875i \(0.218948\pi\)
\(720\) −21.7325 7.09628i −0.809923 0.264463i
\(721\) 3.52557 + 2.95831i 0.131299 + 0.110173i
\(722\) −12.9257 8.86456i −0.481046 0.329905i
\(723\) −27.9178 + 12.9256i −1.03828 + 0.480707i
\(724\) 26.1524 32.4282i 0.971946 1.20518i
\(725\) 1.91983 0.111817i 0.0713005 0.00415278i
\(726\) −0.946567 7.63471i −0.0351304 0.283351i
\(727\) 6.32877 + 5.97089i 0.234721 + 0.221448i 0.794611 0.607119i \(-0.207675\pi\)
−0.559890 + 0.828567i \(0.689156\pi\)
\(728\) 0.188696 3.24526i 0.00699352 0.120277i
\(729\) −17.6919 + 20.3960i −0.655257 + 0.755406i
\(730\) −33.2725 + 18.3604i −1.23147 + 0.679550i
\(731\) 4.00313 4.24307i 0.148061 0.156936i
\(732\) −14.5465 + 10.5525i −0.537654 + 0.390031i
\(733\) −0.463491 7.95784i −0.0171194 0.293929i −0.995991 0.0894534i \(-0.971488\pi\)
0.978872 0.204476i \(-0.0655491\pi\)
\(734\) 2.90116 1.18536i 0.107084 0.0437526i
\(735\) 9.51148 + 20.5438i 0.350836 + 0.757768i
\(736\) 0.376337 2.40887i 0.0138720 0.0887922i
\(737\) −3.19395 + 3.80640i −0.117651 + 0.140211i
\(738\) 2.43988 + 0.642622i 0.0898132 + 0.0236553i
\(739\) −5.89189 7.02168i −0.216737 0.258297i 0.646711 0.762735i \(-0.276144\pi\)
−0.863448 + 0.504438i \(0.831700\pi\)
\(740\) −36.9965 + 25.3778i −1.36002 + 0.932905i
\(741\) −27.7370 9.27520i −1.01894 0.340733i
\(742\) −2.07953 2.29147i −0.0763421 0.0841225i
\(743\) 8.22042 27.4581i 0.301578 1.00734i −0.664110 0.747635i \(-0.731189\pi\)
0.965688 0.259706i \(-0.0836255\pi\)
\(744\) −6.75995 + 10.8952i −0.247832 + 0.399438i
\(745\) 16.2790 1.90275i 0.596418 0.0697113i
\(746\) 2.10555 1.69841i 0.0770898 0.0621831i
\(747\) −17.5698 + 0.927037i −0.642846 + 0.0339185i
\(748\) 8.47437 9.33987i 0.309854 0.341500i
\(749\) 0.542411 + 0.0315918i 0.0198193 + 0.00115434i
\(750\) 24.7228 16.5094i 0.902750 0.602839i
\(751\) 7.56823 3.26462i 0.276169 0.119128i −0.253491 0.967338i \(-0.581579\pi\)
0.529660 + 0.848210i \(0.322320\pi\)
\(752\) −0.311607 + 16.1754i −0.0113631 + 0.589857i
\(753\) −11.1274 20.7727i −0.405505 0.756998i
\(754\) −5.88581 + 1.63864i −0.214349 + 0.0596756i
\(755\) 12.1177 20.9885i 0.441010 0.763851i
\(756\) −3.58917 + 1.47290i −0.130537 + 0.0535690i
\(757\) −13.0100 22.5340i −0.472856 0.819011i 0.526661 0.850075i \(-0.323444\pi\)
−0.999517 + 0.0310640i \(0.990110\pi\)
\(758\) −9.24569 9.06752i −0.335819 0.329347i
\(759\) −1.98836 + 0.652849i −0.0721730 + 0.0236969i
\(760\) −25.5940 + 14.7801i −0.928392 + 0.536129i
\(761\) 12.8234 + 9.54667i 0.464848 + 0.346066i 0.803964 0.594678i \(-0.202721\pi\)
−0.339116 + 0.940745i \(0.610128\pi\)
\(762\) 9.38169 32.1542i 0.339863 1.16482i
\(763\) 1.88508 2.86612i 0.0682443 0.103760i
\(764\) −3.54458 + 16.3688i −0.128239 + 0.592202i
\(765\) 8.31711 9.80268i 0.300706 0.354416i
\(766\) −4.18181 26.7327i −0.151095 0.965892i
\(767\) −23.0825 31.0052i −0.833462 1.11953i
\(768\) −20.3875 + 18.7710i −0.735669 + 0.677341i
\(769\) −1.80556 1.91378i −0.0651100 0.0690125i 0.694000 0.719975i \(-0.255847\pi\)
−0.759110 + 0.650963i \(0.774365\pi\)
\(770\) −0.860863 + 2.68515i −0.0310233 + 0.0967662i
\(771\) −31.2135 24.8193i −1.12413 0.893846i
\(772\) 26.3915 2.05305i 0.949851 0.0738907i
\(773\) −7.18669 + 19.7453i −0.258487 + 0.710188i 0.740774 + 0.671755i \(0.234459\pi\)
−0.999261 + 0.0384336i \(0.987763\pi\)
\(774\) 10.2430 + 4.01877i 0.368176 + 0.144452i
\(775\) −1.22674 3.37045i −0.0440659 0.121070i
\(776\) 36.3341 + 27.0442i 1.30432 + 0.970830i
\(777\) −1.99058 + 7.34858i −0.0714116 + 0.263629i
\(778\) −3.15719 + 23.1203i −0.113191 + 0.828904i
\(779\) 2.72518 1.79238i 0.0976397 0.0642187i
\(780\) −14.1245 + 14.6051i −0.505740 + 0.522948i
\(781\) 9.38038 + 31.3327i 0.335657 + 1.12117i
\(782\) 1.17382 + 0.708349i 0.0419756 + 0.0253305i
\(783\) 4.80266 + 5.48659i 0.171633 + 0.196075i
\(784\) 27.3603 + 2.12301i 0.977153 + 0.0758219i
\(785\) 0.569819 2.40425i 0.0203377 0.0858115i
\(786\) −45.0240 2.30636i −1.60595 0.0822653i
\(787\) −3.32982 + 6.63022i −0.118695 + 0.236342i −0.945133 0.326687i \(-0.894068\pi\)
0.826437 + 0.563029i \(0.190364\pi\)
\(788\) 5.35538 34.2568i 0.190777 1.22035i
\(789\) 2.73726 5.82845i 0.0974490 0.207498i
\(790\) −35.9923 + 17.2117i −1.28055 + 0.612366i
\(791\) 0.767304 4.35160i 0.0272822 0.154725i
\(792\) 22.3094 + 8.25579i 0.792731 + 0.293357i
\(793\) 2.77337 + 15.7286i 0.0984854 + 0.558538i
\(794\) 3.24727 + 4.54286i 0.115241 + 0.161220i
\(795\) 0.509703 + 19.3339i 0.0180773 + 0.685703i
\(796\) 25.7944 22.5137i 0.914258 0.797975i
\(797\) 9.84066 + 41.5210i 0.348574 + 1.47075i 0.811500 + 0.584353i \(0.198651\pi\)
−0.462926 + 0.886397i \(0.653200\pi\)
\(798\) −1.68238 + 4.72492i −0.0595557 + 0.167260i
\(799\) −8.35341 3.60331i −0.295523 0.127476i
\(800\) −0.602003 7.72884i −0.0212840 0.273256i
\(801\) 41.3415 4.60332i 1.46073 0.162650i
\(802\) 19.4153 + 3.81239i 0.685580 + 0.134620i
\(803\) 35.3359 17.7463i 1.24698 0.626255i
\(804\) 2.36200 + 5.66737i 0.0833014 + 0.199873i
\(805\) −0.304464 0.0355868i −0.0107310 0.00125427i
\(806\) 6.07628 + 9.63997i 0.214028 + 0.339554i
\(807\) −10.4220 13.2550i −0.366872 0.466599i
\(808\) −5.88598 6.23755i −0.207068 0.219436i
\(809\) 42.2502i 1.48544i 0.669602 + 0.742720i \(0.266465\pi\)
−0.669602 + 0.742720i \(0.733535\pi\)
\(810\) 23.0086 + 7.65483i 0.808440 + 0.268963i
\(811\) 2.07354i 0.0728120i −0.999337 0.0364060i \(-0.988409\pi\)
0.999337 0.0364060i \(-0.0115910\pi\)
\(812\) 0.261416 + 1.01461i 0.00917391 + 0.0356057i
\(813\) 20.6499 2.96717i 0.724223 0.104063i
\(814\) 39.4911 24.8921i 1.38416 0.872468i
\(815\) −28.9467 3.38338i −1.01396 0.118515i
\(816\) −5.43362 14.6055i −0.190215 0.511294i
\(817\) 12.7115 6.38397i 0.444720 0.223347i
\(818\) −3.60498 + 18.3591i −0.126045 + 0.641910i
\(819\) −0.219282 + 3.44095i −0.00766234 + 0.120237i
\(820\) −0.306804 2.24511i −0.0107141 0.0784025i
\(821\) 29.9836 + 12.9337i 1.04644 + 0.451388i 0.848704 0.528868i \(-0.177383\pi\)
0.197732 + 0.980256i \(0.436643\pi\)
\(822\) 3.19903 2.72267i 0.111579 0.0949641i
\(823\) −6.85481 28.9227i −0.238944 1.00818i −0.951763 0.306835i \(-0.900730\pi\)
0.712819 0.701348i \(-0.247418\pi\)
\(824\) −32.7674 11.9227i −1.14151 0.415348i
\(825\) −5.67314 + 3.47789i −0.197513 + 0.121084i
\(826\) −5.39270 + 3.85473i −0.187636 + 0.134123i
\(827\) −5.18428 29.4015i −0.180275 1.02239i −0.931877 0.362774i \(-0.881830\pi\)
0.751602 0.659617i \(-0.229281\pi\)
\(828\) −0.413370 + 2.55273i −0.0143656 + 0.0887137i
\(829\) 1.69704 9.62439i 0.0589406 0.334269i −0.941051 0.338264i \(-0.890160\pi\)
0.999992 + 0.00399471i \(0.00127156\pi\)
\(830\) 6.81693 + 14.2552i 0.236619 + 0.494805i
\(831\) 11.8799 + 17.0653i 0.412110 + 0.591990i
\(832\) 7.06832 + 23.5930i 0.245050 + 0.817939i
\(833\) −6.92563 + 13.7901i −0.239959 + 0.477797i
\(834\) 14.8399 7.58338i 0.513865 0.262591i
\(835\) −0.0684093 + 0.288641i −0.00236740 + 0.00998885i
\(836\) 27.2077 14.3338i 0.940997 0.495744i
\(837\) 7.23417 11.5161i 0.250049 0.398054i
\(838\) −21.5215 + 35.6636i −0.743447 + 1.23198i
\(839\) 4.90502 + 16.3839i 0.169340 + 0.565635i 0.999961 + 0.00879726i \(0.00280029\pi\)
−0.830621 + 0.556838i \(0.812015\pi\)
\(840\) 2.45726 + 2.47024i 0.0847837 + 0.0852315i
\(841\) −22.5839 + 14.8537i −0.778755 + 0.512196i
\(842\) 16.7582 + 2.28841i 0.577525 + 0.0788637i
\(843\) −28.0721 + 7.43976i −0.966853 + 0.256239i
\(844\) 5.44717 + 11.9814i 0.187499 + 0.412417i
\(845\) −2.29495 6.30533i −0.0789488 0.216910i
\(846\) 0.425920 17.1545i 0.0146434 0.589784i
\(847\) −0.401015 + 1.10178i −0.0137791 + 0.0378576i
\(848\) 20.7442 + 10.9235i 0.712360 + 0.375113i
\(849\) −8.07657 + 3.18310i −0.277187 + 0.109244i
\(850\) 4.15112 + 1.33085i 0.142382 + 0.0456479i
\(851\) 3.48250 + 3.69123i 0.119379 + 0.126534i
\(852\) 39.7106 + 7.50937i 1.36046 + 0.257267i
\(853\) −21.3730 28.7089i −0.731796 0.982973i −0.999809 0.0195573i \(-0.993774\pi\)
0.268013 0.963415i \(-0.413633\pi\)
\(854\) 2.70599 0.423299i 0.0925969 0.0144850i
\(855\) 27.2333 15.5254i 0.931359 0.530957i
\(856\) −3.94346 + 1.18101i −0.134785 + 0.0403662i
\(857\) −3.33728 + 5.07408i −0.113999 + 0.173327i −0.887981 0.459881i \(-0.847892\pi\)
0.773981 + 0.633208i \(0.218262\pi\)
\(858\) 15.2755 14.6150i 0.521496 0.498949i
\(859\) 17.8824 + 13.3130i 0.610140 + 0.454233i 0.857353 0.514728i \(-0.172107\pi\)
−0.247213 + 0.968961i \(0.579515\pi\)
\(860\) −0.192268 9.87998i −0.00655628 0.336904i
\(861\) −0.286558 0.256422i −0.00976589 0.00873882i
\(862\) 27.8545 28.4018i 0.948728 0.967371i
\(863\) 7.99731 + 13.8517i 0.272232 + 0.471519i 0.969433 0.245356i \(-0.0789050\pi\)
−0.697201 + 0.716875i \(0.745572\pi\)
\(864\) 21.7346 19.7891i 0.739424 0.673240i
\(865\) −24.4981 + 42.4319i −0.832959 + 1.44273i
\(866\) 11.6079 + 41.6945i 0.394453 + 1.41684i
\(867\) −20.6715 0.658001i −0.702041 0.0223469i
\(868\) 1.67302 1.00982i 0.0567858 0.0342755i
\(869\) 38.1173 16.4422i 1.29304 0.557763i
\(870\) 2.89799 5.87246i 0.0982509 0.199095i
\(871\) 5.44743 + 0.317277i 0.184579 + 0.0107505i
\(872\) −5.99141 + 25.2908i −0.202895 + 0.856454i
\(873\) −38.3780 28.8986i −1.29890 0.978069i
\(874\) 2.09892 + 2.60208i 0.0709971 + 0.0880167i
\(875\) −4.50018 + 0.525995i −0.152134 + 0.0177819i
\(876\) 0.604028 48.8566i 0.0204082 1.65071i
\(877\) 3.33487 11.1392i 0.112610 0.376145i −0.883042 0.469295i \(-0.844508\pi\)
0.995652 + 0.0931494i \(0.0296934\pi\)
\(878\) −41.0036 + 37.2112i −1.38381 + 1.25582i
\(879\) 3.30180 + 16.2142i 0.111367 + 0.546890i
\(880\) −0.831182 21.3477i −0.0280191 0.719630i
\(881\) 19.6327 + 23.3973i 0.661442 + 0.788276i 0.987592 0.157042i \(-0.0501958\pi\)
−0.326150 + 0.945318i \(0.605751\pi\)
\(882\) −29.0070 2.41315i −0.976716 0.0812551i
\(883\) −25.9845 + 30.9671i −0.874449 + 1.04213i 0.124306 + 0.992244i \(0.460329\pi\)
−0.998755 + 0.0498834i \(0.984115\pi\)
\(884\) −13.7844 1.33987i −0.463620 0.0450647i
\(885\) 41.2633 + 3.72368i 1.38705 + 0.125170i
\(886\) 17.4549 + 42.7205i 0.586409 + 1.43522i
\(887\) 0.973407 + 16.7128i 0.0326838 + 0.561159i 0.974410 + 0.224779i \(0.0721659\pi\)
−0.941726 + 0.336381i \(0.890797\pi\)
\(888\) −4.87601 57.4761i −0.163628 1.92877i
\(889\) −3.50316 + 3.71313i −0.117492 + 0.124535i
\(890\) −18.0492 32.7086i −0.605011 1.09639i
\(891\) −23.6136 8.88805i −0.791087 0.297761i
\(892\) −35.1658 22.1609i −1.17744 0.742002i
\(893\) −16.1359 15.2234i −0.539966 0.509432i
\(894\) −8.21092 + 19.4073i −0.274614 + 0.649078i
\(895\) −20.6893 + 1.20502i −0.691568 + 0.0402792i
\(896\) 4.06865 1.13359i 0.135924 0.0378706i
\(897\) 1.87899 + 1.32335i 0.0627377 + 0.0441853i
\(898\) −23.2004 + 33.8294i −0.774207 + 1.12890i
\(899\) −2.81350 2.36081i −0.0938355 0.0787374i
\(900\) 0.592920 + 8.20110i 0.0197640 + 0.273370i
\(901\) −10.0990 + 8.47407i −0.336446 + 0.282312i
\(902\) 0.228335 + 2.34669i 0.00760273 + 0.0781364i
\(903\) −1.11140 1.25576i −0.0369852 0.0417892i
\(904\) 5.81666 + 32.9690i 0.193459 + 1.09653i
\(905\) 38.0168 + 11.3815i 1.26372 + 0.378334i
\(906\) 15.7685 + 26.8758i 0.523873 + 0.892887i
\(907\) 4.55458 + 38.9669i 0.151232 + 1.29388i 0.829270 + 0.558849i \(0.188757\pi\)
−0.678037 + 0.735027i \(0.737169\pi\)
\(908\) 4.12946 + 1.68676i 0.137041 + 0.0559770i
\(909\) 6.20614 + 6.65054i 0.205845 + 0.220585i
\(910\) 2.92978 1.00256i 0.0971212 0.0332345i
\(911\) −1.18826 + 20.4017i −0.0393689 + 0.675938i 0.919675 + 0.392680i \(0.128452\pi\)
−0.959044 + 0.283257i \(0.908585\pi\)
\(912\) −0.269615 37.9987i −0.00892783 1.25826i
\(913\) −6.51214 15.0968i −0.215520 0.499632i
\(914\) −1.19850 30.8594i −0.0396427 1.02074i
\(915\) −14.5454 9.02666i −0.480855 0.298412i
\(916\) −21.7572 + 21.3421i −0.718877 + 0.705161i
\(917\) 5.95043 + 3.43548i 0.196500 + 0.113450i
\(918\) 5.67698 + 15.5233i 0.187368 + 0.512344i
\(919\) −30.2775 + 17.4807i −0.998762 + 0.576635i −0.907882 0.419227i \(-0.862301\pi\)
−0.0908799 + 0.995862i \(0.528968\pi\)
\(920\) 2.25981 0.535818i 0.0745036 0.0176654i
\(921\) 55.5425 + 11.6269i 1.83019 + 0.383119i
\(922\) 1.26667 2.40490i 0.0417155 0.0792011i
\(923\) 21.4483 28.8100i 0.705979 0.948294i
\(924\) −2.45514 2.66761i −0.0807683 0.0877579i
\(925\) 13.4813 + 8.86679i 0.443262 + 0.291538i
\(926\) 29.3508 33.6345i 0.964528 1.10530i
\(927\) 34.6842 + 12.8391i 1.13918 + 0.421690i
\(928\) −4.49094 6.54566i −0.147422 0.214872i
\(929\) 43.3251 32.2543i 1.42145 1.05823i 0.433894 0.900964i \(-0.357139\pi\)
0.987556 0.157267i \(-0.0502683\pi\)
\(930\) −12.0428 2.03670i −0.394901 0.0667860i
\(931\) −27.3704 + 25.8226i −0.897028 + 0.846302i
\(932\) 10.9785 + 55.8810i 0.359612 + 1.83044i
\(933\) −51.0825 7.62509i −1.67237 0.249634i
\(934\) 8.68257 19.1029i 0.284102 0.625066i
\(935\) 11.2888 + 4.10879i 0.369184 + 0.134372i
\(936\) −7.35779 25.0654i −0.240497 0.819290i
\(937\) −14.8445 + 5.40296i −0.484949 + 0.176507i −0.572912 0.819617i \(-0.694186\pi\)
0.0879634 + 0.996124i \(0.471964\pi\)
\(938\) 0.0724838 0.932948i 0.00236668 0.0304618i
\(939\) −23.6115 + 23.4829i −0.770533 + 0.766335i
\(940\) −14.3764 + 5.55168i −0.468907 + 0.181076i
\(941\) −5.36506 8.15718i −0.174896 0.265916i 0.737393 0.675464i \(-0.236057\pi\)
−0.912289 + 0.409548i \(0.865686\pi\)
\(942\) 2.32594 + 2.16386i 0.0757834 + 0.0705022i
\(943\) −0.245546 + 0.0735115i −0.00799607 + 0.00239386i
\(944\) 28.4006 41.4207i 0.924362 1.34813i
\(945\) −2.59171 2.63454i −0.0843084 0.0857017i
\(946\) −0.199050 + 10.2803i −0.00647166 + 0.334241i
\(947\) 8.93725 + 2.11817i 0.290422 + 0.0688312i 0.373244 0.927733i \(-0.378245\pi\)
−0.0828227 + 0.996564i \(0.526394\pi\)
\(948\) 3.61538 51.1676i 0.117422 1.66185i
\(949\) −38.8045 19.4883i −1.25965 0.632619i
\(950\) 8.40196 + 6.51157i 0.272595 + 0.211263i
\(951\) 1.88329 + 22.2252i 0.0610699 + 0.720702i
\(952\) −0.275492 + 2.35899i −0.00892875 + 0.0764553i
\(953\) 49.0528 + 8.64933i 1.58898 + 0.280179i 0.897097 0.441834i \(-0.145672\pi\)
0.691879 + 0.722013i \(0.256783\pi\)
\(954\) −21.9378 11.7083i −0.710263 0.379069i
\(955\) −15.7115 + 2.77036i −0.508412 + 0.0896467i
\(956\) −0.528346 + 1.10513i −0.0170879 + 0.0357424i
\(957\) −3.25025 + 5.98875i −0.105066 + 0.193589i
\(958\) 23.3927 5.06798i 0.755783 0.163739i
\(959\) −0.622973 + 0.147647i −0.0201168 + 0.00476778i
\(960\) −23.8968 11.2171i −0.771265 0.362031i
\(961\) 9.56528 22.1748i 0.308557 0.715317i
\(962\) −47.8238 18.4625i −1.54190 0.595256i
\(963\) 4.18957 1.22937i 0.135007 0.0396160i
\(964\) −33.8271 + 10.8487i −1.08950 + 0.349412i
\(965\) 11.3168 + 22.5337i 0.364302 + 0.725384i
\(966\) 0.233135 0.317773i 0.00750101 0.0102242i
\(967\) 3.03865 25.9973i 0.0977163 0.836017i −0.852137 0.523319i \(-0.824693\pi\)
0.949853 0.312697i \(-0.101232\pi\)
\(968\) −0.000870902 8.88331i −2.79919e−5 0.285520i
\(969\) 19.8366 + 7.94339i 0.637244 + 0.255178i
\(970\) −10.7610 + 41.7825i −0.345515 + 1.34155i
\(971\) −52.0119 −1.66914 −0.834570 0.550902i \(-0.814284\pi\)
−0.834570 + 0.550902i \(0.814284\pi\)
\(972\) −23.1694 + 20.8610i −0.743157 + 0.669117i
\(973\) −2.53990 −0.0814254
\(974\) −4.87440 + 18.9262i −0.156186 + 0.606433i
\(975\) 6.78384 + 2.71653i 0.217257 + 0.0869985i
\(976\) −18.1675 + 10.0275i −0.581526 + 0.320972i
\(977\) 2.21729 18.9701i 0.0709374 0.606908i −0.910279 0.413996i \(-0.864133\pi\)
0.981216 0.192912i \(-0.0617932\pi\)
\(978\) 22.1651 30.2120i 0.708763 0.966074i
\(979\) 17.4455 + 34.7369i 0.557562 + 1.11020i
\(980\) 7.98316 + 24.8922i 0.255013 + 0.795153i
\(981\) 6.50393 26.7892i 0.207655 0.855312i
\(982\) 33.6183 + 12.9785i 1.07280 + 0.414159i
\(983\) 16.5717 38.4176i 0.528556 1.22533i −0.419654 0.907684i \(-0.637849\pi\)
0.948210 0.317646i \(-0.102892\pi\)
\(984\) 2.70473 + 1.08278i 0.0862237 + 0.0345177i
\(985\) 32.1382 7.61690i 1.02401 0.242694i
\(986\) 4.36257 0.945141i 0.138932 0.0300994i
\(987\) −1.24749 + 2.29856i −0.0397081 + 0.0731641i
\(988\) −30.4682 14.5664i −0.969323 0.463420i
\(989\) −1.10079 + 0.194100i −0.0350032 + 0.00617202i
\(990\) 0.755661 + 22.6472i 0.0240165 + 0.719775i
\(991\) 45.8751 + 8.08902i 1.45727 + 0.256956i 0.845456 0.534045i \(-0.179329\pi\)
0.611815 + 0.791001i \(0.290440\pi\)
\(992\) −9.29321 + 11.5256i −0.295060 + 0.365939i
\(993\) 3.50958 + 41.4175i 0.111373 + 1.31434i
\(994\) −4.86849 3.77311i −0.154419 0.119676i
\(995\) 29.1448 + 14.6371i 0.923952 + 0.464026i
\(996\) −20.2656 1.43192i −0.642139 0.0453720i
\(997\) −0.623538 0.147781i −0.0197476 0.00468028i 0.220730 0.975335i \(-0.429156\pi\)
−0.240478 + 0.970655i \(0.577304\pi\)
\(998\) −0.244093 + 12.6066i −0.00772663 + 0.399056i
\(999\) 4.83266 + 60.9904i 0.152899 + 1.92965i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 324.2.p.a.11.4 936
3.2 odd 2 972.2.p.a.359.49 936
4.3 odd 2 inner 324.2.p.a.11.22 yes 936
12.11 even 2 972.2.p.a.359.31 936
81.22 even 27 972.2.p.a.287.31 936
81.59 odd 54 inner 324.2.p.a.59.22 yes 936
324.59 even 54 inner 324.2.p.a.59.4 yes 936
324.103 odd 54 972.2.p.a.287.49 936
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
324.2.p.a.11.4 936 1.1 even 1 trivial
324.2.p.a.11.22 yes 936 4.3 odd 2 inner
324.2.p.a.59.4 yes 936 324.59 even 54 inner
324.2.p.a.59.22 yes 936 81.59 odd 54 inner
972.2.p.a.287.31 936 81.22 even 27
972.2.p.a.287.49 936 324.103 odd 54
972.2.p.a.359.31 936 12.11 even 2
972.2.p.a.359.49 936 3.2 odd 2