Properties

Label 490.2.s.a.223.27
Level $490$
Weight $2$
Character 490.223
Analytic conductor $3.913$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [490,2,Mod(13,490)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(490, base_ring=CyclotomicField(28))
 
chi = DirichletCharacter(H, H._module([21, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("490.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 490.s (of order \(28\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.91266969904\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 223.27
Character \(\chi\) \(=\) 490.223
Dual form 490.2.s.a.167.27

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.330279 - 0.943883i) q^{2} +(1.58832 + 2.52779i) q^{3} +(-0.781831 - 0.623490i) q^{4} +(-2.05859 + 0.873048i) q^{5} +(2.91053 - 0.664310i) q^{6} +(2.60626 + 0.455395i) q^{7} +(-0.846724 + 0.532032i) q^{8} +(-2.56534 + 5.32698i) q^{9} +O(q^{10})\) \(q+(0.330279 - 0.943883i) q^{2} +(1.58832 + 2.52779i) q^{3} +(-0.781831 - 0.623490i) q^{4} +(-2.05859 + 0.873048i) q^{5} +(2.91053 - 0.664310i) q^{6} +(2.60626 + 0.455395i) q^{7} +(-0.846724 + 0.532032i) q^{8} +(-2.56534 + 5.32698i) q^{9} +(0.144147 + 2.23142i) q^{10} +(2.49186 - 1.20002i) q^{11} +(0.334257 - 2.96661i) q^{12} +(-0.306042 + 0.874618i) q^{13} +(1.29063 - 2.30960i) q^{14} +(-5.47658 - 3.81701i) q^{15} +(0.222521 + 0.974928i) q^{16} +(-0.766171 + 6.79995i) q^{17} +(4.18077 + 4.18077i) q^{18} -5.70240 q^{19} +(2.15381 + 0.600932i) q^{20} +(2.98843 + 7.31141i) q^{21} +(-0.309666 - 2.74836i) q^{22} +(1.80213 - 0.203051i) q^{23} +(-2.68973 - 1.29531i) q^{24} +(3.47557 - 3.59449i) q^{25} +(0.724458 + 0.577736i) q^{26} +(-8.64024 + 0.973521i) q^{27} +(-1.75373 - 1.98102i) q^{28} +(3.83055 - 3.05476i) q^{29} +(-5.41161 + 3.90857i) q^{30} +0.286351i q^{31} +(0.993712 + 0.111964i) q^{32} +(6.99126 + 4.39290i) q^{33} +(6.16531 + 2.96906i) q^{34} +(-5.76281 + 1.33792i) q^{35} +(5.32698 - 2.56534i) q^{36} +(8.09491 + 0.912077i) q^{37} +(-1.88338 + 5.38240i) q^{38} +(-2.69695 + 0.615560i) q^{39} +(1.27857 - 1.83447i) q^{40} +(-10.4473 - 2.38453i) q^{41} +(7.88814 - 0.405926i) q^{42} +(2.06712 - 3.28980i) q^{43} +(-2.69641 - 0.615438i) q^{44} +(0.630265 - 13.2057i) q^{45} +(0.403548 - 1.76806i) q^{46} +(3.68353 + 1.28892i) q^{47} +(-2.11098 + 2.11098i) q^{48} +(6.58523 + 2.37376i) q^{49} +(-2.24487 - 4.46772i) q^{50} +(-18.4058 + 8.86377i) q^{51} +(0.784589 - 0.492990i) q^{52} +(-10.0096 + 1.12781i) q^{53} +(-1.93480 + 8.47691i) q^{54} +(-4.08204 + 4.64585i) q^{55} +(-2.44907 + 1.00102i) q^{56} +(-9.05722 - 14.4145i) q^{57} +(-1.61819 - 4.62452i) q^{58} +(-0.462077 - 2.02449i) q^{59} +(1.90190 + 6.39885i) q^{60} +(8.66468 - 6.90985i) q^{61} +(0.270282 + 0.0945758i) q^{62} +(-9.11182 + 12.7153i) q^{63} +(0.433884 - 0.900969i) q^{64} +(-0.133569 - 2.06767i) q^{65} +(6.45545 - 5.14805i) q^{66} +(10.6396 - 10.6396i) q^{67} +(4.83872 - 4.83872i) q^{68} +(3.37562 + 4.23289i) q^{69} +(-0.640490 + 5.88131i) q^{70} +(2.49697 - 3.13110i) q^{71} +(-0.661990 - 5.87532i) q^{72} +(6.68549 - 2.33935i) q^{73} +(3.53447 - 7.33941i) q^{74} +(14.6065 + 3.07633i) q^{75} +(4.45831 + 3.55539i) q^{76} +(7.04092 - 1.99278i) q^{77} +(-0.309728 + 2.74891i) q^{78} -9.19209i q^{79} +(-1.30924 - 1.81270i) q^{80} +(-5.12517 - 6.42676i) q^{81} +(-5.70125 + 9.07348i) q^{82} +(6.93202 - 2.42562i) q^{83} +(2.22214 - 7.57955i) q^{84} +(-4.35946 - 14.6672i) q^{85} +(-2.42246 - 3.03767i) q^{86} +(13.8060 + 4.83091i) q^{87} +(-1.47147 + 2.34183i) q^{88} +(-5.05354 - 2.43366i) q^{89} +(-12.2565 - 4.95647i) q^{90} +(-1.19592 + 2.14012i) q^{91} +(-1.53556 - 0.964855i) q^{92} +(-0.723837 + 0.454817i) q^{93} +(2.43318 - 3.05112i) q^{94} +(11.7389 - 4.97847i) q^{95} +(1.29531 + 2.68973i) q^{96} +(-9.62021 - 9.62021i) q^{97} +(4.41552 - 5.43169i) q^{98} +16.3525i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{6} + 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 28 q^{6} + 8 q^{7} + 8 q^{11} + 44 q^{15} + 56 q^{16} + 28 q^{17} - 16 q^{21} - 20 q^{22} + 8 q^{23} - 8 q^{25} - 28 q^{26} - 8 q^{28} - 24 q^{30} + 8 q^{35} + 76 q^{36} - 24 q^{37} - 56 q^{41} - 112 q^{42} - 24 q^{43} + 112 q^{45} - 68 q^{46} - 84 q^{47} - 32 q^{50} - 80 q^{51} - 100 q^{53} + 84 q^{55} - 20 q^{56} + 92 q^{57} - 80 q^{58} - 112 q^{61} - 32 q^{67} + 52 q^{70} + 16 q^{71} - 84 q^{75} + 16 q^{77} - 80 q^{78} + 12 q^{81} + 140 q^{83} + 40 q^{85} - 8 q^{86} - 28 q^{87} - 8 q^{88} - 84 q^{90} + 124 q^{91} + 8 q^{92} + 20 q^{93} - 56 q^{95} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{1}{14}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.330279 0.943883i 0.233543 0.667426i
\(3\) 1.58832 + 2.52779i 0.917016 + 1.45942i 0.888000 + 0.459844i \(0.152095\pi\)
0.0290160 + 0.999579i \(0.490763\pi\)
\(4\) −0.781831 0.623490i −0.390916 0.311745i
\(5\) −2.05859 + 0.873048i −0.920629 + 0.390439i
\(6\) 2.91053 0.664310i 1.18822 0.271203i
\(7\) 2.60626 + 0.455395i 0.985075 + 0.172123i
\(8\) −0.846724 + 0.532032i −0.299362 + 0.188102i
\(9\) −2.56534 + 5.32698i −0.855112 + 1.77566i
\(10\) 0.144147 + 2.23142i 0.0455833 + 0.705636i
\(11\) 2.49186 1.20002i 0.751324 0.361818i −0.0187073 0.999825i \(-0.505955\pi\)
0.770031 + 0.638007i \(0.220241\pi\)
\(12\) 0.334257 2.96661i 0.0964916 0.856386i
\(13\) −0.306042 + 0.874618i −0.0848808 + 0.242575i −0.978499 0.206253i \(-0.933873\pi\)
0.893618 + 0.448829i \(0.148159\pi\)
\(14\) 1.29063 2.30960i 0.344937 0.617267i
\(15\) −5.47658 3.81701i −1.41405 0.985548i
\(16\) 0.222521 + 0.974928i 0.0556302 + 0.243732i
\(17\) −0.766171 + 6.79995i −0.185824 + 1.64923i 0.461591 + 0.887093i \(0.347279\pi\)
−0.647415 + 0.762138i \(0.724150\pi\)
\(18\) 4.18077 + 4.18077i 0.985416 + 0.985416i
\(19\) −5.70240 −1.30822 −0.654110 0.756400i \(-0.726957\pi\)
−0.654110 + 0.756400i \(0.726957\pi\)
\(20\) 2.15381 + 0.600932i 0.481606 + 0.134373i
\(21\) 2.98843 + 7.31141i 0.652130 + 1.59548i
\(22\) −0.309666 2.74836i −0.0660211 0.585953i
\(23\) 1.80213 0.203051i 0.375769 0.0423390i 0.0779396 0.996958i \(-0.475166\pi\)
0.297830 + 0.954619i \(0.403737\pi\)
\(24\) −2.68973 1.29531i −0.549040 0.264404i
\(25\) 3.47557 3.59449i 0.695115 0.718899i
\(26\) 0.724458 + 0.577736i 0.142078 + 0.113303i
\(27\) −8.64024 + 0.973521i −1.66282 + 0.187354i
\(28\) −1.75373 1.98102i −0.331423 0.374378i
\(29\) 3.83055 3.05476i 0.711316 0.567256i −0.199585 0.979881i \(-0.563959\pi\)
0.910901 + 0.412625i \(0.135388\pi\)
\(30\) −5.41161 + 3.90857i −0.988020 + 0.713605i
\(31\) 0.286351i 0.0514302i 0.999669 + 0.0257151i \(0.00818627\pi\)
−0.999669 + 0.0257151i \(0.991814\pi\)
\(32\) 0.993712 + 0.111964i 0.175665 + 0.0197927i
\(33\) 6.99126 + 4.39290i 1.21702 + 0.764705i
\(34\) 6.16531 + 2.96906i 1.05734 + 0.509189i
\(35\) −5.76281 + 1.33792i −0.974092 + 0.226150i
\(36\) 5.32698 2.56534i 0.887829 0.427556i
\(37\) 8.09491 + 0.912077i 1.33079 + 0.149944i 0.748555 0.663073i \(-0.230748\pi\)
0.582239 + 0.813017i \(0.302177\pi\)
\(38\) −1.88338 + 5.38240i −0.305525 + 0.873140i
\(39\) −2.69695 + 0.615560i −0.431857 + 0.0985686i
\(40\) 1.27857 1.83447i 0.202159 0.290055i
\(41\) −10.4473 2.38453i −1.63160 0.372401i −0.693958 0.720015i \(-0.744135\pi\)
−0.937638 + 0.347614i \(0.886992\pi\)
\(42\) 7.88814 0.405926i 1.21717 0.0626358i
\(43\) 2.06712 3.28980i 0.315233 0.501690i −0.651098 0.758994i \(-0.725691\pi\)
0.966331 + 0.257304i \(0.0828340\pi\)
\(44\) −2.69641 0.615438i −0.406499 0.0927808i
\(45\) 0.630265 13.2057i 0.0939543 1.96859i
\(46\) 0.403548 1.76806i 0.0594999 0.260686i
\(47\) 3.68353 + 1.28892i 0.537298 + 0.188009i 0.585268 0.810840i \(-0.300989\pi\)
−0.0479700 + 0.998849i \(0.515275\pi\)
\(48\) −2.11098 + 2.11098i −0.304694 + 0.304694i
\(49\) 6.58523 + 2.37376i 0.940747 + 0.339108i
\(50\) −2.24487 4.46772i −0.317473 0.631831i
\(51\) −18.4058 + 8.86377i −2.57733 + 1.24118i
\(52\) 0.784589 0.492990i 0.108803 0.0683654i
\(53\) −10.0096 + 1.12781i −1.37492 + 0.154917i −0.768308 0.640080i \(-0.778901\pi\)
−0.606614 + 0.794997i \(0.707473\pi\)
\(54\) −1.93480 + 8.47691i −0.263293 + 1.15356i
\(55\) −4.08204 + 4.64585i −0.550422 + 0.626446i
\(56\) −2.44907 + 1.00102i −0.327271 + 0.133767i
\(57\) −9.05722 14.4145i −1.19966 1.90924i
\(58\) −1.61819 4.62452i −0.212479 0.607229i
\(59\) −0.462077 2.02449i −0.0601572 0.263566i 0.935902 0.352262i \(-0.114587\pi\)
−0.996059 + 0.0886956i \(0.971730\pi\)
\(60\) 1.90190 + 6.39885i 0.245534 + 0.826088i
\(61\) 8.66468 6.90985i 1.10940 0.884716i 0.115315 0.993329i \(-0.463212\pi\)
0.994084 + 0.108613i \(0.0346409\pi\)
\(62\) 0.270282 + 0.0945758i 0.0343258 + 0.0120111i
\(63\) −9.11182 + 12.7153i −1.14798 + 1.60197i
\(64\) 0.433884 0.900969i 0.0542355 0.112621i
\(65\) −0.133569 2.06767i −0.0165672 0.256463i
\(66\) 6.45545 5.14805i 0.794611 0.633681i
\(67\) 10.6396 10.6396i 1.29983 1.29983i 0.371330 0.928501i \(-0.378902\pi\)
0.928501 0.371330i \(-0.121098\pi\)
\(68\) 4.83872 4.83872i 0.586781 0.586781i
\(69\) 3.37562 + 4.23289i 0.406377 + 0.509580i
\(70\) −0.640490 + 5.88131i −0.0765533 + 0.702951i
\(71\) 2.49697 3.13110i 0.296335 0.371593i −0.611267 0.791425i \(-0.709340\pi\)
0.907602 + 0.419832i \(0.137911\pi\)
\(72\) −0.661990 5.87532i −0.0780162 0.692413i
\(73\) 6.68549 2.33935i 0.782477 0.273801i 0.0906681 0.995881i \(-0.471100\pi\)
0.691809 + 0.722081i \(0.256814\pi\)
\(74\) 3.53447 7.33941i 0.410874 0.853189i
\(75\) 14.6065 + 3.07633i 1.68661 + 0.355224i
\(76\) 4.45831 + 3.55539i 0.511404 + 0.407831i
\(77\) 7.04092 1.99278i 0.802388 0.227098i
\(78\) −0.309728 + 2.74891i −0.0350698 + 0.311253i
\(79\) 9.19209i 1.03419i −0.855928 0.517095i \(-0.827013\pi\)
0.855928 0.517095i \(-0.172987\pi\)
\(80\) −1.30924 1.81270i −0.146377 0.202666i
\(81\) −5.12517 6.42676i −0.569463 0.714084i
\(82\) −5.70125 + 9.07348i −0.629597 + 1.00200i
\(83\) 6.93202 2.42562i 0.760888 0.266246i 0.0781816 0.996939i \(-0.475089\pi\)
0.682706 + 0.730693i \(0.260803\pi\)
\(84\) 2.22214 7.57955i 0.242455 0.826997i
\(85\) −4.35946 14.6672i −0.472850 1.59088i
\(86\) −2.42246 3.03767i −0.261221 0.327561i
\(87\) 13.8060 + 4.83091i 1.48015 + 0.517928i
\(88\) −1.47147 + 2.34183i −0.156859 + 0.249640i
\(89\) −5.05354 2.43366i −0.535674 0.257967i 0.146432 0.989221i \(-0.453221\pi\)
−0.682105 + 0.731254i \(0.738935\pi\)
\(90\) −12.2565 4.95647i −1.29195 0.522458i
\(91\) −1.19592 + 2.14012i −0.125367 + 0.224345i
\(92\) −1.53556 0.964855i −0.160093 0.100593i
\(93\) −0.723837 + 0.454817i −0.0750584 + 0.0471623i
\(94\) 2.43318 3.05112i 0.250964 0.314699i
\(95\) 11.7389 4.97847i 1.20438 0.510780i
\(96\) 1.29531 + 2.68973i 0.132202 + 0.274520i
\(97\) −9.62021 9.62021i −0.976784 0.976784i 0.0229521 0.999737i \(-0.492693\pi\)
−0.999737 + 0.0229521i \(0.992693\pi\)
\(98\) 4.41552 5.43169i 0.446034 0.548683i
\(99\) 16.3525i 1.64349i
\(100\) −4.95844 + 0.643304i −0.495844 + 0.0643304i
\(101\) 3.04333 + 0.694620i 0.302823 + 0.0691173i 0.371232 0.928540i \(-0.378935\pi\)
−0.0684097 + 0.997657i \(0.521793\pi\)
\(102\) 2.28731 + 20.3004i 0.226478 + 2.01004i
\(103\) −2.28796 3.64127i −0.225440 0.358785i 0.714783 0.699347i \(-0.246526\pi\)
−0.940222 + 0.340562i \(0.889383\pi\)
\(104\) −0.206192 0.903385i −0.0202188 0.0885841i
\(105\) −12.5352 12.4421i −1.22331 1.21423i
\(106\) −2.24144 + 9.82037i −0.217707 + 0.953839i
\(107\) −10.0342 + 3.51111i −0.970040 + 0.339432i −0.768359 0.640020i \(-0.778926\pi\)
−0.201681 + 0.979451i \(0.564641\pi\)
\(108\) 7.36219 + 4.62597i 0.708427 + 0.445134i
\(109\) 5.42904 + 11.2735i 0.520008 + 1.07981i 0.981287 + 0.192553i \(0.0616766\pi\)
−0.461278 + 0.887255i \(0.652609\pi\)
\(110\) 3.03693 + 5.38740i 0.289560 + 0.513668i
\(111\) 10.5517 + 21.9109i 1.00153 + 2.07969i
\(112\) 0.135971 + 2.64226i 0.0128481 + 0.249670i
\(113\) −0.808777 2.31135i −0.0760833 0.217434i 0.899560 0.436798i \(-0.143887\pi\)
−0.975643 + 0.219364i \(0.929602\pi\)
\(114\) −16.5970 + 3.78816i −1.55445 + 0.354793i
\(115\) −3.53256 + 1.99134i −0.329413 + 0.185693i
\(116\) −4.89946 −0.454904
\(117\) −3.87397 3.87397i −0.358149 0.358149i
\(118\) −2.06350 0.232500i −0.189960 0.0214034i
\(119\) −5.09351 + 17.3736i −0.466921 + 1.59263i
\(120\) 6.66792 + 0.318238i 0.608695 + 0.0290510i
\(121\) −2.08907 + 2.61961i −0.189915 + 0.238146i
\(122\) −3.66033 10.4606i −0.331391 0.947061i
\(123\) −10.5661 30.1960i −0.952709 2.72269i
\(124\) 0.178537 0.223878i 0.0160331 0.0201049i
\(125\) −4.01661 + 10.4339i −0.359256 + 0.933239i
\(126\) 8.99229 + 12.8001i 0.801096 + 1.14032i
\(127\) −2.65594 0.299252i −0.235676 0.0265543i −0.00666362 0.999978i \(-0.502121\pi\)
−0.229013 + 0.973423i \(0.573550\pi\)
\(128\) −0.707107 0.707107i −0.0625000 0.0625000i
\(129\) 11.5992 1.02125
\(130\) −1.99575 0.556834i −0.175039 0.0488376i
\(131\) 3.28190 0.749071i 0.286741 0.0654467i −0.0767314 0.997052i \(-0.524448\pi\)
0.363472 + 0.931605i \(0.381591\pi\)
\(132\) −2.72706 7.79348i −0.237360 0.678336i
\(133\) −14.8620 2.59684i −1.28869 0.225175i
\(134\) −6.52849 13.5565i −0.563975 1.17111i
\(135\) 16.9368 9.54743i 1.45768 0.821712i
\(136\) −2.96906 6.16531i −0.254595 0.528671i
\(137\) −10.2273 6.42621i −0.873774 0.549029i 0.0188543 0.999822i \(-0.493998\pi\)
−0.892628 + 0.450794i \(0.851141\pi\)
\(138\) 5.11025 1.78816i 0.435014 0.152218i
\(139\) −0.251553 + 1.10213i −0.0213365 + 0.0934811i −0.984475 0.175524i \(-0.943838\pi\)
0.963139 + 0.269006i \(0.0866950\pi\)
\(140\) 5.33973 + 2.54702i 0.451289 + 0.215263i
\(141\) 2.59248 + 11.3584i 0.218327 + 0.956551i
\(142\) −2.13069 3.39098i −0.178804 0.284565i
\(143\) 0.286942 + 2.54668i 0.0239953 + 0.212964i
\(144\) −5.76426 1.31565i −0.480355 0.109638i
\(145\) −5.21858 + 9.63276i −0.433379 + 0.799957i
\(146\) 7.08296i 0.586190i
\(147\) 4.45907 + 20.4164i 0.367778 + 1.68392i
\(148\) −5.76018 5.76018i −0.473484 0.473484i
\(149\) 8.39194 + 17.4260i 0.687494 + 1.42760i 0.893508 + 0.449048i \(0.148237\pi\)
−0.206013 + 0.978549i \(0.566049\pi\)
\(150\) 7.72791 12.7707i 0.630981 1.04273i
\(151\) 0.364409 0.456954i 0.0296552 0.0371864i −0.766783 0.641907i \(-0.778144\pi\)
0.796438 + 0.604720i \(0.206715\pi\)
\(152\) 4.82836 3.03386i 0.391631 0.246078i
\(153\) −34.2577 21.5255i −2.76957 1.74024i
\(154\) 0.444519 7.30398i 0.0358203 0.588572i
\(155\) −0.249998 0.589479i −0.0200803 0.0473481i
\(156\) 2.49235 + 1.20025i 0.199548 + 0.0960972i
\(157\) −0.0262124 + 0.0417169i −0.00209198 + 0.00332937i −0.847769 0.530366i \(-0.822054\pi\)
0.845677 + 0.533696i \(0.179197\pi\)
\(158\) −8.67626 3.03595i −0.690246 0.241528i
\(159\) −18.7493 23.5108i −1.48691 1.86453i
\(160\) −2.14339 + 0.637070i −0.169450 + 0.0503648i
\(161\) 4.78928 + 0.291475i 0.377449 + 0.0229714i
\(162\) −7.75884 + 2.71494i −0.609592 + 0.213306i
\(163\) 9.79776 15.5930i 0.767420 1.22134i −0.202825 0.979215i \(-0.565012\pi\)
0.970245 0.242126i \(-0.0778448\pi\)
\(164\) 6.68131 + 8.37809i 0.521722 + 0.654219i
\(165\) −18.2273 2.93946i −1.41900 0.228837i
\(166\) 7.34415i 0.570016i
\(167\) −1.58363 + 14.0551i −0.122545 + 1.08762i 0.770433 + 0.637521i \(0.220040\pi\)
−0.892979 + 0.450099i \(0.851389\pi\)
\(168\) −6.42028 4.60081i −0.495336 0.354960i
\(169\) 9.49251 + 7.57003i 0.730193 + 0.582310i
\(170\) −15.2840 0.729453i −1.17223 0.0559465i
\(171\) 14.6286 30.3765i 1.11867 2.32295i
\(172\) −3.66730 + 1.28324i −0.279629 + 0.0978464i
\(173\) −1.95555 17.3560i −0.148678 1.31955i −0.817413 0.576052i \(-0.804593\pi\)
0.668735 0.743501i \(-0.266836\pi\)
\(174\) 9.11964 11.4357i 0.691358 0.866935i
\(175\) 10.6952 7.78545i 0.808479 0.588524i
\(176\) 1.72442 + 2.16235i 0.129983 + 0.162994i
\(177\) 4.38357 4.38357i 0.329489 0.329489i
\(178\) −3.96616 + 3.96616i −0.297277 + 0.297277i
\(179\) −17.3373 + 13.8260i −1.29585 + 1.03341i −0.298987 + 0.954257i \(0.596649\pi\)
−0.996863 + 0.0791490i \(0.974780\pi\)
\(180\) −8.72639 + 9.93168i −0.650427 + 0.740264i
\(181\) 5.83853 12.1238i 0.433975 0.901158i −0.563220 0.826307i \(-0.690438\pi\)
0.997195 0.0748508i \(-0.0238481\pi\)
\(182\) 1.62503 + 1.83565i 0.120455 + 0.136067i
\(183\) 31.2290 + 10.9275i 2.30851 + 0.807783i
\(184\) −1.41787 + 1.13072i −0.104527 + 0.0833575i
\(185\) −17.4604 + 5.18965i −1.28371 + 0.381551i
\(186\) 0.190226 + 0.833434i 0.0139480 + 0.0611103i
\(187\) 6.25086 + 17.8639i 0.457108 + 1.30634i
\(188\) −2.07627 3.30436i −0.151427 0.240995i
\(189\) −22.9621 1.39747i −1.67025 0.101651i
\(190\) −0.821983 12.7244i −0.0596329 0.923127i
\(191\) −4.60076 + 20.1572i −0.332899 + 1.45853i 0.480590 + 0.876945i \(0.340423\pi\)
−0.813489 + 0.581580i \(0.802435\pi\)
\(192\) 2.96661 0.334257i 0.214097 0.0241229i
\(193\) −17.7661 + 11.1632i −1.27883 + 0.803545i −0.988182 0.153284i \(-0.951015\pi\)
−0.290652 + 0.956829i \(0.593872\pi\)
\(194\) −12.2577 + 5.90300i −0.880052 + 0.423811i
\(195\) 5.01449 3.62175i 0.359095 0.259359i
\(196\) −3.66853 5.96170i −0.262038 0.425836i
\(197\) 0.181894 0.181894i 0.0129594 0.0129594i −0.700597 0.713557i \(-0.747083\pi\)
0.713557 + 0.700597i \(0.247083\pi\)
\(198\) 15.4349 + 5.40089i 1.09691 + 0.383825i
\(199\) −4.46969 + 19.5830i −0.316848 + 1.38820i 0.526199 + 0.850361i \(0.323617\pi\)
−0.843047 + 0.537840i \(0.819241\pi\)
\(200\) −1.03047 + 4.89266i −0.0728649 + 0.345963i
\(201\) 43.7937 + 9.99562i 3.08897 + 0.705037i
\(202\) 1.66079 2.64313i 0.116853 0.185970i
\(203\) 11.3746 6.21711i 0.798338 0.436356i
\(204\) 19.9167 + 4.54586i 1.39445 + 0.318274i
\(205\) 23.5885 4.21224i 1.64749 0.294196i
\(206\) −4.19260 + 0.956933i −0.292112 + 0.0666727i
\(207\) −3.54141 + 10.1208i −0.246145 + 0.703442i
\(208\) −0.920790 0.103748i −0.0638453 0.00719364i
\(209\) −14.2096 + 6.84296i −0.982896 + 0.473338i
\(210\) −15.8840 + 7.72236i −1.09610 + 0.532893i
\(211\) −22.3154 10.7465i −1.53625 0.739821i −0.541364 0.840788i \(-0.682092\pi\)
−0.994890 + 0.100967i \(0.967806\pi\)
\(212\) 8.52899 + 5.35912i 0.585773 + 0.368066i
\(213\) 11.8807 + 1.33864i 0.814055 + 0.0917219i
\(214\) 10.6307i 0.726702i
\(215\) −1.38319 + 8.57705i −0.0943330 + 0.584950i
\(216\) 6.79796 5.42119i 0.462542 0.368865i
\(217\) −0.130403 + 0.746307i −0.00885232 + 0.0506626i
\(218\) 12.4340 1.40097i 0.842136 0.0948860i
\(219\) 16.5321 + 13.1839i 1.11713 + 0.890885i
\(220\) 6.08811 1.08716i 0.410460 0.0732965i
\(221\) −5.71288 2.75118i −0.384290 0.185064i
\(222\) 24.1664 2.72290i 1.62194 0.182749i
\(223\) −1.60276 14.2249i −0.107329 0.952569i −0.925798 0.378018i \(-0.876606\pi\)
0.818469 0.574550i \(-0.194823\pi\)
\(224\) 2.53889 + 0.744340i 0.169637 + 0.0497333i
\(225\) 10.2318 + 27.7354i 0.682118 + 1.84903i
\(226\) −2.44877 −0.162890
\(227\) −0.802933 0.802933i −0.0532925 0.0532925i 0.679958 0.733251i \(-0.261998\pi\)
−0.733251 + 0.679958i \(0.761998\pi\)
\(228\) −1.90606 + 16.9168i −0.126232 + 1.12034i
\(229\) −0.147409 0.645843i −0.00974108 0.0426785i 0.969824 0.243807i \(-0.0783963\pi\)
−0.979565 + 0.201128i \(0.935539\pi\)
\(230\) 0.712862 + 3.99202i 0.0470047 + 0.263226i
\(231\) 16.2206 + 14.6328i 1.06723 + 0.962770i
\(232\) −1.61819 + 4.62452i −0.106239 + 0.303615i
\(233\) −1.60190 + 14.2173i −0.104944 + 0.931404i 0.825358 + 0.564610i \(0.190973\pi\)
−0.930302 + 0.366794i \(0.880455\pi\)
\(234\) −4.93607 + 2.37708i −0.322681 + 0.155395i
\(235\) −8.70816 + 0.562537i −0.568057 + 0.0366959i
\(236\) −0.900983 + 1.87091i −0.0586490 + 0.121786i
\(237\) 23.2357 14.6000i 1.50932 0.948370i
\(238\) 14.7163 + 10.5458i 0.953919 + 0.683583i
\(239\) 1.89106 0.431622i 0.122322 0.0279193i −0.160921 0.986967i \(-0.551447\pi\)
0.283244 + 0.959048i \(0.408589\pi\)
\(240\) 2.50266 6.18863i 0.161546 0.399475i
\(241\) −13.9676 11.1388i −0.899731 0.717511i 0.0600700 0.998194i \(-0.480868\pi\)
−0.959801 + 0.280683i \(0.909439\pi\)
\(242\) 1.78263 + 2.83704i 0.114592 + 0.182372i
\(243\) −0.510122 + 1.45784i −0.0327243 + 0.0935208i
\(244\) −11.0825 −0.709487
\(245\) −15.6287 + 0.862632i −0.998480 + 0.0551115i
\(246\) −31.9913 −2.03969
\(247\) 1.74517 4.98742i 0.111043 0.317342i
\(248\) −0.152348 0.242460i −0.00967411 0.0153963i
\(249\) 17.1417 + 13.6701i 1.08631 + 0.866305i
\(250\) 8.52181 + 7.23732i 0.538967 + 0.457728i
\(251\) 24.1209 5.50543i 1.52250 0.347500i 0.622228 0.782836i \(-0.286228\pi\)
0.900268 + 0.435336i \(0.143371\pi\)
\(252\) 15.0517 4.26007i 0.948171 0.268359i
\(253\) 4.24698 2.66855i 0.267005 0.167770i
\(254\) −1.15966 + 2.40806i −0.0727635 + 0.151095i
\(255\) 30.1515 34.3160i 1.88816 2.14895i
\(256\) −0.900969 + 0.433884i −0.0563106 + 0.0271177i
\(257\) 1.25937 11.1772i 0.0785571 0.697213i −0.891279 0.453455i \(-0.850191\pi\)
0.969836 0.243758i \(-0.0783802\pi\)
\(258\) 3.83097 10.9483i 0.238506 0.681610i
\(259\) 20.6821 + 6.06349i 1.28512 + 0.376767i
\(260\) −1.18474 + 1.69985i −0.0734746 + 0.105420i
\(261\) 6.44600 + 28.2418i 0.398997 + 1.74812i
\(262\) 0.376906 3.34513i 0.0232853 0.206663i
\(263\) 10.5821 + 10.5821i 0.652518 + 0.652518i 0.953599 0.301081i \(-0.0973473\pi\)
−0.301081 + 0.953599i \(0.597347\pi\)
\(264\) −8.25683 −0.508173
\(265\) 19.6210 11.0605i 1.20531 0.679444i
\(266\) −7.35971 + 13.1703i −0.451253 + 0.807521i
\(267\) −1.87485 16.6397i −0.114739 1.01833i
\(268\) −14.9520 + 1.68469i −0.913340 + 0.102909i
\(269\) −19.6198 9.44840i −1.19624 0.576079i −0.273638 0.961833i \(-0.588227\pi\)
−0.922602 + 0.385754i \(0.873941\pi\)
\(270\) −3.41780 19.1396i −0.208000 1.16480i
\(271\) 2.56574 + 2.04611i 0.155858 + 0.124292i 0.698314 0.715792i \(-0.253934\pi\)
−0.542456 + 0.840084i \(0.682505\pi\)
\(272\) −6.79995 + 0.766171i −0.412308 + 0.0464559i
\(273\) −7.30928 + 0.376138i −0.442378 + 0.0227649i
\(274\) −9.44345 + 7.53090i −0.570499 + 0.454958i
\(275\) 4.34719 13.1277i 0.262145 0.791631i
\(276\) 5.41407i 0.325889i
\(277\) 26.7179 + 3.01039i 1.60532 + 0.180877i 0.868670 0.495392i \(-0.164975\pi\)
0.736655 + 0.676268i \(0.236404\pi\)
\(278\) 0.957196 + 0.601446i 0.0574088 + 0.0360723i
\(279\) −1.52539 0.734587i −0.0913224 0.0439786i
\(280\) 4.16769 4.19885i 0.249067 0.250929i
\(281\) 8.02944 3.86678i 0.478996 0.230673i −0.178775 0.983890i \(-0.557213\pi\)
0.657772 + 0.753217i \(0.271499\pi\)
\(282\) 11.5773 + 1.30444i 0.689416 + 0.0776785i
\(283\) −5.68681 + 16.2520i −0.338046 + 0.966079i 0.641895 + 0.766792i \(0.278148\pi\)
−0.979941 + 0.199287i \(0.936137\pi\)
\(284\) −3.90441 + 0.891157i −0.231684 + 0.0528804i
\(285\) 31.2296 + 21.7661i 1.84988 + 1.28931i
\(286\) 2.49854 + 0.570275i 0.147742 + 0.0337211i
\(287\) −26.1426 10.9724i −1.54315 0.647678i
\(288\) −3.14564 + 5.00625i −0.185359 + 0.294996i
\(289\) −29.0786 6.63700i −1.71050 0.390412i
\(290\) 7.36862 + 8.10723i 0.432700 + 0.476073i
\(291\) 9.03796 39.5979i 0.529814 2.32127i
\(292\) −6.68549 2.33935i −0.391238 0.136900i
\(293\) 14.3751 14.3751i 0.839803 0.839803i −0.149030 0.988833i \(-0.547615\pi\)
0.988833 + 0.149030i \(0.0476150\pi\)
\(294\) 20.7434 + 2.53427i 1.20978 + 0.147801i
\(295\) 2.71870 + 3.76418i 0.158289 + 0.219159i
\(296\) −7.33941 + 3.53447i −0.426594 + 0.205437i
\(297\) −20.3620 + 12.7943i −1.18152 + 0.742401i
\(298\) 19.2198 2.16555i 1.11337 0.125447i
\(299\) −0.373934 + 1.63831i −0.0216252 + 0.0947461i
\(300\) −9.50173 11.5122i −0.548582 0.664654i
\(301\) 6.88562 7.63274i 0.396881 0.439944i
\(302\) −0.310955 0.494882i −0.0178934 0.0284773i
\(303\) 3.07792 + 8.79619i 0.176822 + 0.505328i
\(304\) −1.26890 5.55942i −0.0727765 0.318855i
\(305\) −11.8044 + 21.7892i −0.675917 + 1.24765i
\(306\) −31.6322 + 25.2258i −1.80829 + 1.44207i
\(307\) 25.0084 + 8.75081i 1.42730 + 0.499435i 0.929812 0.368034i \(-0.119969\pi\)
0.497491 + 0.867469i \(0.334255\pi\)
\(308\) −6.74729 2.83193i −0.384463 0.161364i
\(309\) 5.57037 11.5670i 0.316887 0.658023i
\(310\) −0.638969 + 0.0412767i −0.0362910 + 0.00234436i
\(311\) −6.11233 + 4.87442i −0.346599 + 0.276403i −0.781279 0.624181i \(-0.785433\pi\)
0.434681 + 0.900585i \(0.356861\pi\)
\(312\) 1.95607 1.95607i 0.110741 0.110741i
\(313\) −17.8369 + 17.8369i −1.00820 + 1.00820i −0.00823647 + 0.999966i \(0.502622\pi\)
−0.999966 + 0.00823647i \(0.997378\pi\)
\(314\) 0.0307184 + 0.0385197i 0.00173354 + 0.00217379i
\(315\) 7.65645 34.1306i 0.431392 1.92304i
\(316\) −5.73117 + 7.18667i −0.322404 + 0.404281i
\(317\) −1.89449 16.8140i −0.106405 0.944370i −0.927562 0.373668i \(-0.878100\pi\)
0.821158 0.570702i \(-0.193329\pi\)
\(318\) −28.3840 + 9.93199i −1.59169 + 0.556958i
\(319\) 5.87943 12.2088i 0.329185 0.683560i
\(320\) −0.106599 + 2.23353i −0.00595905 + 0.124858i
\(321\) −24.8128 19.7876i −1.38492 1.10443i
\(322\) 1.85692 4.42426i 0.103482 0.246554i
\(323\) 4.36901 38.7760i 0.243098 2.15756i
\(324\) 8.22013i 0.456674i
\(325\) 2.08014 + 4.13987i 0.115385 + 0.229638i
\(326\) −11.4820 14.3980i −0.635930 0.797431i
\(327\) −19.8741 + 31.6295i −1.09904 + 1.74911i
\(328\) 10.1146 3.53926i 0.558487 0.195423i
\(329\) 9.01328 + 5.03673i 0.496918 + 0.277684i
\(330\) −8.79462 + 16.2336i −0.484128 + 0.893632i
\(331\) 12.3211 + 15.4502i 0.677229 + 0.849218i 0.995096 0.0989175i \(-0.0315380\pi\)
−0.317867 + 0.948135i \(0.602967\pi\)
\(332\) −6.93202 2.42562i −0.380444 0.133123i
\(333\) −25.6248 + 40.7816i −1.40423 + 2.23482i
\(334\) 12.7434 + 6.13689i 0.697286 + 0.335795i
\(335\) −12.6136 + 31.1914i −0.689157 + 1.70417i
\(336\) −6.46311 + 4.54045i −0.352592 + 0.247702i
\(337\) −2.34657 1.47445i −0.127826 0.0803184i 0.466601 0.884468i \(-0.345478\pi\)
−0.594427 + 0.804149i \(0.702621\pi\)
\(338\) 10.2804 6.45960i 0.559180 0.351356i
\(339\) 4.55803 5.71558i 0.247558 0.310428i
\(340\) −5.73650 + 14.1854i −0.311105 + 0.769309i
\(341\) 0.343626 + 0.713546i 0.0186084 + 0.0386407i
\(342\) −23.8404 23.8404i −1.28914 1.28914i
\(343\) 16.0819 + 9.18552i 0.868339 + 0.495972i
\(344\) 3.88533i 0.209483i
\(345\) −10.6445 5.76671i −0.573082 0.310469i
\(346\) −17.0279 3.88651i −0.915427 0.208940i
\(347\) 0.781678 + 6.93758i 0.0419627 + 0.372429i 0.997090 + 0.0762335i \(0.0242894\pi\)
−0.955127 + 0.296196i \(0.904282\pi\)
\(348\) −7.78191 12.3848i −0.417154 0.663897i
\(349\) 0.538157 + 2.35782i 0.0288069 + 0.126211i 0.987287 0.158949i \(-0.0508104\pi\)
−0.958480 + 0.285160i \(0.907953\pi\)
\(350\) −3.81616 12.6664i −0.203982 0.677046i
\(351\) 1.79282 7.85485i 0.0956936 0.419261i
\(352\) 2.61055 0.913471i 0.139143 0.0486881i
\(353\) −20.1145 12.6387i −1.07058 0.672693i −0.123067 0.992398i \(-0.539273\pi\)
−0.947517 + 0.319706i \(0.896416\pi\)
\(354\) −2.68978 5.58538i −0.142960 0.296859i
\(355\) −2.40663 + 8.62561i −0.127730 + 0.457800i
\(356\) 2.43366 + 5.05354i 0.128983 + 0.267837i
\(357\) −52.0069 + 14.7194i −2.75250 + 0.779034i
\(358\) 7.32401 + 20.9308i 0.387086 + 1.10623i
\(359\) −4.92979 + 1.12519i −0.260184 + 0.0593854i −0.350623 0.936517i \(-0.614030\pi\)
0.0904389 + 0.995902i \(0.471173\pi\)
\(360\) 6.49220 + 11.5169i 0.342169 + 0.606995i
\(361\) 13.5173 0.711438
\(362\) −9.51514 9.51514i −0.500105 0.500105i
\(363\) −9.93993 1.11996i −0.521711 0.0587827i
\(364\) 2.26935 0.927564i 0.118946 0.0486176i
\(365\) −11.7203 + 10.6525i −0.613468 + 0.557578i
\(366\) 20.6285 25.8674i 1.07827 1.35211i
\(367\) 6.31628 + 18.0509i 0.329707 + 0.942249i 0.982752 + 0.184930i \(0.0592057\pi\)
−0.653045 + 0.757319i \(0.726509\pi\)
\(368\) 0.598971 + 1.71176i 0.0312235 + 0.0892316i
\(369\) 39.5032 49.5354i 2.05645 2.57871i
\(370\) −0.868367 + 18.1946i −0.0451443 + 0.945891i
\(371\) −26.6012 1.61894i −1.38107 0.0840514i
\(372\) 0.849492 + 0.0957147i 0.0440441 + 0.00496258i
\(373\) −1.72291 1.72291i −0.0892087 0.0892087i 0.661094 0.750303i \(-0.270092\pi\)
−0.750303 + 0.661094i \(0.770092\pi\)
\(374\) 18.9260 0.978640
\(375\) −32.7545 + 6.41924i −1.69143 + 0.331488i
\(376\) −3.80468 + 0.868393i −0.196211 + 0.0447840i
\(377\) 1.49944 + 4.28516i 0.0772252 + 0.220697i
\(378\) −8.90294 + 21.2120i −0.457918 + 1.09103i
\(379\) −4.38630 9.10824i −0.225309 0.467859i 0.757416 0.652933i \(-0.226462\pi\)
−0.982725 + 0.185074i \(0.940747\pi\)
\(380\) −12.2819 3.42675i −0.630046 0.175789i
\(381\) −3.46202 7.18897i −0.177365 0.368302i
\(382\) 17.5065 + 11.0001i 0.895712 + 0.562813i
\(383\) 20.5621 7.19498i 1.05067 0.367646i 0.250940 0.968003i \(-0.419260\pi\)
0.799733 + 0.600356i \(0.204975\pi\)
\(384\) 0.664310 2.91053i 0.0339004 0.148527i
\(385\) −12.7546 + 10.2494i −0.650033 + 0.522357i
\(386\) 4.66898 + 20.4561i 0.237645 + 1.04119i
\(387\) 12.2218 + 19.4510i 0.621271 + 0.988748i
\(388\) 1.52328 + 13.5195i 0.0773328 + 0.686348i
\(389\) −34.0067 7.76180i −1.72421 0.393539i −0.758193 0.652030i \(-0.773918\pi\)
−0.966014 + 0.258491i \(0.916775\pi\)
\(390\) −1.76233 5.92928i −0.0892390 0.300241i
\(391\) 12.4099i 0.627598i
\(392\) −6.83879 + 1.49364i −0.345411 + 0.0754400i
\(393\) 7.10619 + 7.10619i 0.358460 + 0.358460i
\(394\) −0.111611 0.231763i −0.00562288 0.0116760i
\(395\) 8.02514 + 18.9227i 0.403789 + 0.952106i
\(396\) 10.1956 12.7849i 0.512349 0.642466i
\(397\) 18.0636 11.3501i 0.906584 0.569645i 0.00392093 0.999992i \(-0.498752\pi\)
0.902663 + 0.430348i \(0.141609\pi\)
\(398\) 17.0078 + 10.6867i 0.852524 + 0.535677i
\(399\) −17.0412 41.6926i −0.853129 2.08724i
\(400\) 4.27776 + 2.58858i 0.213888 + 0.129429i
\(401\) −15.0276 7.23690i −0.750441 0.361393i 0.0192459 0.999815i \(-0.493873\pi\)
−0.769687 + 0.638421i \(0.779588\pi\)
\(402\) 23.8988 38.0348i 1.19197 1.89700i
\(403\) −0.250448 0.0876355i −0.0124757 0.00436543i
\(404\) −1.94628 2.44056i −0.0968311 0.121422i
\(405\) 16.1615 + 8.75553i 0.803070 + 0.435066i
\(406\) −2.11145 12.7896i −0.104789 0.634739i
\(407\) 21.2659 7.44125i 1.05411 0.368849i
\(408\) 10.8688 17.2976i 0.538087 0.856361i
\(409\) −0.822013 1.03077i −0.0406459 0.0509684i 0.761093 0.648643i \(-0.224663\pi\)
−0.801739 + 0.597674i \(0.796092\pi\)
\(410\) 3.81493 23.6560i 0.188406 1.16829i
\(411\) 36.0593i 1.77867i
\(412\) −0.481494 + 4.27338i −0.0237215 + 0.210534i
\(413\) −0.282352 5.48678i −0.0138936 0.269987i
\(414\) 8.38318 + 6.68536i 0.412011 + 0.328567i
\(415\) −12.1525 + 11.0453i −0.596542 + 0.542194i
\(416\) −0.402044 + 0.834853i −0.0197118 + 0.0409320i
\(417\) −3.18549 + 1.11465i −0.155994 + 0.0545848i
\(418\) 1.76584 + 15.6723i 0.0863700 + 0.766555i
\(419\) 10.6506 13.3555i 0.520317 0.652457i −0.450359 0.892848i \(-0.648704\pi\)
0.970676 + 0.240390i \(0.0772755\pi\)
\(420\) 2.04284 + 17.5432i 0.0996805 + 0.856021i
\(421\) −17.9294 22.4827i −0.873824 1.09574i −0.994674 0.103070i \(-0.967133\pi\)
0.120850 0.992671i \(-0.461438\pi\)
\(422\) −17.5138 + 17.5138i −0.852557 + 0.852557i
\(423\) −16.3155 + 16.3155i −0.793289 + 0.793289i
\(424\) 7.87533 6.28036i 0.382460 0.305001i
\(425\) 21.7795 + 26.3877i 1.05646 + 1.27999i
\(426\) 5.18748 10.7719i 0.251334 0.521901i
\(427\) 25.7292 14.0631i 1.24512 0.680559i
\(428\) 10.0342 + 3.51111i 0.485020 + 0.169716i
\(429\) −5.98173 + 4.77027i −0.288800 + 0.230311i
\(430\) 7.63889 + 4.13839i 0.368380 + 0.199571i
\(431\) 2.18007 + 9.55153i 0.105010 + 0.460081i 0.999905 + 0.0138027i \(0.00439369\pi\)
−0.894894 + 0.446278i \(0.852749\pi\)
\(432\) −2.87175 8.20698i −0.138167 0.394859i
\(433\) −13.4240 21.3642i −0.645117 1.02670i −0.995919 0.0902480i \(-0.971234\pi\)
0.350803 0.936449i \(-0.385909\pi\)
\(434\) 0.661357 + 0.369575i 0.0317462 + 0.0177401i
\(435\) −32.6384 + 2.10840i −1.56489 + 0.101090i
\(436\) 2.78433 12.1990i 0.133345 0.584224i
\(437\) −10.2764 + 1.15788i −0.491588 + 0.0553887i
\(438\) 17.9043 11.2500i 0.855499 0.537545i
\(439\) −19.0647 + 9.18109i −0.909910 + 0.438190i −0.829458 0.558569i \(-0.811351\pi\)
−0.0804519 + 0.996758i \(0.525636\pi\)
\(440\) 0.984620 6.10553i 0.0469399 0.291070i
\(441\) −29.5383 + 28.9899i −1.40659 + 1.38047i
\(442\) −4.48364 + 4.48364i −0.213265 + 0.213265i
\(443\) −21.5378 7.53641i −1.02329 0.358066i −0.234101 0.972212i \(-0.575215\pi\)
−0.789192 + 0.614147i \(0.789500\pi\)
\(444\) 5.41155 23.7096i 0.256821 1.12521i
\(445\) 12.5279 + 0.597913i 0.593877 + 0.0283438i
\(446\) −13.9560 3.18536i −0.660835 0.150831i
\(447\) −30.7204 + 48.8912i −1.45302 + 2.31247i
\(448\) 1.54111 2.15057i 0.0728107 0.101605i
\(449\) −10.9718 2.50425i −0.517793 0.118183i −0.0443651 0.999015i \(-0.514126\pi\)
−0.473428 + 0.880832i \(0.656984\pi\)
\(450\) 29.5583 0.497180i 1.39339 0.0234373i
\(451\) −28.8947 + 6.59502i −1.36060 + 0.310548i
\(452\) −0.808777 + 2.31135i −0.0380417 + 0.108717i
\(453\) 1.73388 + 0.195362i 0.0814650 + 0.00917890i
\(454\) −1.02307 + 0.492683i −0.0480149 + 0.0231228i
\(455\) 0.593489 5.44972i 0.0278232 0.255487i
\(456\) 15.3379 + 7.38636i 0.718265 + 0.345898i
\(457\) −24.9097 15.6518i −1.16523 0.732161i −0.196552 0.980493i \(-0.562974\pi\)
−0.968675 + 0.248333i \(0.920117\pi\)
\(458\) −0.658286 0.0741710i −0.0307597 0.00346579i
\(459\) 59.4991i 2.77718i
\(460\) 4.00345 + 0.645624i 0.186662 + 0.0301024i
\(461\) 8.21020 6.54742i 0.382387 0.304944i −0.413366 0.910565i \(-0.635647\pi\)
0.795753 + 0.605621i \(0.207075\pi\)
\(462\) 19.1690 10.4774i 0.891823 0.487453i
\(463\) −24.7688 + 2.79077i −1.15110 + 0.129698i −0.666823 0.745216i \(-0.732346\pi\)
−0.484279 + 0.874914i \(0.660918\pi\)
\(464\) 3.83055 + 3.05476i 0.177829 + 0.141814i
\(465\) 1.09300 1.56822i 0.0506869 0.0727247i
\(466\) 12.8904 + 6.20767i 0.597135 + 0.287565i
\(467\) −0.769690 + 0.0867232i −0.0356170 + 0.00401307i −0.129755 0.991546i \(-0.541419\pi\)
0.0941380 + 0.995559i \(0.469991\pi\)
\(468\) 0.613411 + 5.44417i 0.0283549 + 0.251657i
\(469\) 32.5747 22.8843i 1.50416 1.05670i
\(470\) −2.34515 + 8.40528i −0.108174 + 0.387707i
\(471\) −0.147085 −0.00677733
\(472\) 1.46834 + 1.46834i 0.0675861 + 0.0675861i
\(473\) 1.20316 10.6783i 0.0553212 0.490989i
\(474\) −6.10639 26.7539i −0.280476 1.22885i
\(475\) −19.8191 + 20.4972i −0.909362 + 0.940477i
\(476\) 14.8145 10.4075i 0.679022 0.477025i
\(477\) 19.6701 56.2140i 0.900634 2.57386i
\(478\) 0.217177 1.92750i 0.00993343 0.0881616i
\(479\) −1.05643 + 0.508749i −0.0482694 + 0.0232453i −0.457863 0.889023i \(-0.651385\pi\)
0.409593 + 0.912268i \(0.365671\pi\)
\(480\) −5.01477 4.40619i −0.228892 0.201114i
\(481\) −3.27510 + 6.80082i −0.149332 + 0.310091i
\(482\) −15.1269 + 9.50486i −0.689011 + 0.432934i
\(483\) 6.87012 + 12.5693i 0.312601 + 0.571922i
\(484\) 3.26660 0.745580i 0.148482 0.0338900i
\(485\) 28.2030 + 11.4051i 1.28063 + 0.517881i
\(486\) 1.20755 + 0.962991i 0.0547757 + 0.0436822i
\(487\) 4.54328 + 7.23059i 0.205876 + 0.327649i 0.933662 0.358154i \(-0.116594\pi\)
−0.727787 + 0.685804i \(0.759451\pi\)
\(488\) −3.66033 + 10.4606i −0.165695 + 0.473530i
\(489\) 54.9780 2.48619
\(490\) −4.34760 + 15.0366i −0.196405 + 0.679283i
\(491\) 0.593698 0.0267932 0.0133966 0.999910i \(-0.495736\pi\)
0.0133966 + 0.999910i \(0.495736\pi\)
\(492\) −10.5661 + 30.1960i −0.476354 + 1.36134i
\(493\) 17.8374 + 28.3881i 0.803356 + 1.27853i
\(494\) −4.13115 3.29448i −0.185869 0.148226i
\(495\) −14.2765 33.6631i −0.641682 1.51304i
\(496\) −0.279172 + 0.0637191i −0.0125352 + 0.00286107i
\(497\) 7.93364 7.02336i 0.355872 0.315041i
\(498\) 18.5645 11.6648i 0.831895 0.522714i
\(499\) −5.22066 + 10.8408i −0.233709 + 0.485301i −0.984533 0.175201i \(-0.943942\pi\)
0.750824 + 0.660502i \(0.229657\pi\)
\(500\) 9.64576 5.65326i 0.431371 0.252821i
\(501\) −38.0438 + 18.3209i −1.69967 + 0.818519i
\(502\) 2.77013 24.5856i 0.123637 1.09731i
\(503\) 6.78125 19.3797i 0.302361 0.864099i −0.688015 0.725697i \(-0.741518\pi\)
0.990376 0.138402i \(-0.0441966\pi\)
\(504\) 0.950270 15.6141i 0.0423284 0.695508i
\(505\) −6.87140 + 1.22704i −0.305773 + 0.0546024i
\(506\) −1.11611 4.89002i −0.0496174 0.217388i
\(507\) −4.05834 + 36.0187i −0.180237 + 1.59965i
\(508\) 1.88991 + 1.88991i 0.0838513 + 0.0838513i
\(509\) 29.7295 1.31774 0.658869 0.752258i \(-0.271035\pi\)
0.658869 + 0.752258i \(0.271035\pi\)
\(510\) −22.4319 39.7933i −0.993301 1.76208i
\(511\) 18.4895 3.05244i 0.817926 0.135032i
\(512\) 0.111964 + 0.993712i 0.00494818 + 0.0439163i
\(513\) 49.2701 5.55140i 2.17533 0.245100i
\(514\) −10.1340 4.88028i −0.446992 0.215260i
\(515\) 7.88897 + 5.49838i 0.347630 + 0.242287i
\(516\) −9.06861 7.23198i −0.399223 0.318370i
\(517\) 10.7256 1.20848i 0.471709 0.0531489i
\(518\) 12.5541 17.5189i 0.551595 0.769734i
\(519\) 40.7664 32.5101i 1.78944 1.42703i
\(520\) 1.21316 + 1.67968i 0.0532007 + 0.0736589i
\(521\) 8.22308i 0.360260i 0.983643 + 0.180130i \(0.0576518\pi\)
−0.983643 + 0.180130i \(0.942348\pi\)
\(522\) 28.7859 + 3.24339i 1.25993 + 0.141959i
\(523\) 7.77726 + 4.88678i 0.340076 + 0.213684i 0.691232 0.722633i \(-0.257068\pi\)
−0.351156 + 0.936317i \(0.614211\pi\)
\(524\) −3.03293 1.46058i −0.132494 0.0638058i
\(525\) 36.6673 + 14.6694i 1.60029 + 0.640227i
\(526\) 13.4833 6.49320i 0.587898 0.283117i
\(527\) −1.94717 0.219394i −0.0848202 0.00955695i
\(528\) −2.72706 + 7.79348i −0.118680 + 0.339168i
\(529\) −19.2169 + 4.38614i −0.835518 + 0.190702i
\(530\) −3.95946 22.1730i −0.171988 0.963133i
\(531\) 11.9698 + 2.73203i 0.519445 + 0.118560i
\(532\) 10.0004 + 11.2966i 0.433574 + 0.489768i
\(533\) 5.28287 8.40764i 0.228827 0.364175i
\(534\) −16.3252 3.72612i −0.706460 0.161245i
\(535\) 17.5909 15.9882i 0.760519 0.691232i
\(536\) −3.34819 + 14.6694i −0.144620 + 0.633621i
\(537\) −62.4865 21.8650i −2.69649 0.943543i
\(538\) −15.3982 + 15.3982i −0.663863 + 0.663863i
\(539\) 19.2580 1.98731i 0.829501 0.0855995i
\(540\) −19.1944 3.09542i −0.825996 0.133206i
\(541\) 29.4818 14.1977i 1.26752 0.610406i 0.325367 0.945588i \(-0.394512\pi\)
0.942153 + 0.335182i \(0.108798\pi\)
\(542\) 2.77870 1.74597i 0.119355 0.0749960i
\(543\) 39.9200 4.49791i 1.71313 0.193024i
\(544\) −1.52271 + 6.67141i −0.0652855 + 0.286034i
\(545\) −21.0185 18.4677i −0.900334 0.791071i
\(546\) −2.05907 + 7.02334i −0.0881201 + 0.300571i
\(547\) 15.3263 + 24.3917i 0.655307 + 1.04291i 0.994755 + 0.102290i \(0.0326168\pi\)
−0.339448 + 0.940625i \(0.610240\pi\)
\(548\) 3.98932 + 11.4008i 0.170415 + 0.487018i
\(549\) 14.5808 + 63.8826i 0.622293 + 2.72644i
\(550\) −10.9552 8.43905i −0.467133 0.359842i
\(551\) −21.8433 + 17.4195i −0.930557 + 0.742095i
\(552\) −5.11025 1.78816i −0.217507 0.0761089i
\(553\) 4.18603 23.9570i 0.178008 1.01876i
\(554\) 11.6658 24.2243i 0.495634 1.02919i
\(555\) −40.8510 35.8934i −1.73403 1.52359i
\(556\) 0.883836 0.704836i 0.0374830 0.0298917i
\(557\) 19.9445 19.9445i 0.845077 0.845077i −0.144437 0.989514i \(-0.546137\pi\)
0.989514 + 0.144437i \(0.0461372\pi\)
\(558\) −1.19717 + 1.19717i −0.0506801 + 0.0506801i
\(559\) 2.24470 + 2.81476i 0.0949405 + 0.119052i
\(560\) −2.58673 5.32061i −0.109309 0.224837i
\(561\) −35.2280 + 44.1745i −1.48733 + 1.86505i
\(562\) −0.997829 8.85597i −0.0420909 0.373567i
\(563\) −27.6828 + 9.68664i −1.16669 + 0.408243i −0.842997 0.537918i \(-0.819211\pi\)
−0.323695 + 0.946162i \(0.604925\pi\)
\(564\) 5.05497 10.4968i 0.212853 0.441993i
\(565\) 3.68286 + 4.05202i 0.154939 + 0.170470i
\(566\) 13.4617 + 10.7354i 0.565839 + 0.451241i
\(567\) −10.4308 19.0838i −0.438054 0.801444i
\(568\) −0.448398 + 3.97964i −0.0188143 + 0.166982i
\(569\) 2.24019i 0.0939135i 0.998897 + 0.0469567i \(0.0149523\pi\)
−0.998897 + 0.0469567i \(0.985048\pi\)
\(570\) 30.8591 22.2882i 1.29255 0.933552i
\(571\) −10.6930 13.4086i −0.447489 0.561134i 0.506011 0.862527i \(-0.331120\pi\)
−0.953500 + 0.301394i \(0.902548\pi\)
\(572\) 1.36349 2.16998i 0.0570103 0.0907314i
\(573\) −58.2608 + 20.3863i −2.43388 + 0.851651i
\(574\) −18.9910 + 21.0516i −0.792668 + 0.878676i
\(575\) 5.53356 7.18345i 0.230765 0.299571i
\(576\) 3.68638 + 4.62258i 0.153599 + 0.192607i
\(577\) −13.1587 4.60442i −0.547803 0.191684i 0.0421660 0.999111i \(-0.486574\pi\)
−0.589969 + 0.807426i \(0.700860\pi\)
\(578\) −15.8686 + 25.2547i −0.660047 + 1.05046i
\(579\) −56.4365 27.1784i −2.34542 1.12950i
\(580\) 10.0860 4.27747i 0.418797 0.177612i
\(581\) 19.1713 3.16500i 0.795359 0.131306i
\(582\) −34.3907 21.6091i −1.42554 0.895727i
\(583\) −23.5891 + 14.8220i −0.976960 + 0.613864i
\(584\) −4.41615 + 5.53768i −0.182742 + 0.229151i
\(585\) 11.3571 + 4.59275i 0.469557 + 0.189887i
\(586\) −8.82063 18.3162i −0.364377 0.756636i
\(587\) −5.93272 5.93272i −0.244870 0.244870i 0.573992 0.818861i \(-0.305394\pi\)
−0.818861 + 0.573992i \(0.805394\pi\)
\(588\) 9.24317 18.7424i 0.381182 0.772922i
\(589\) 1.63289i 0.0672819i
\(590\) 4.45087 1.32291i 0.183240 0.0544633i
\(591\) 0.748696 + 0.170885i 0.0307972 + 0.00702927i
\(592\) 0.912077 + 8.09491i 0.0374861 + 0.332699i
\(593\) 3.52450 + 5.60921i 0.144734 + 0.230342i 0.911222 0.411916i \(-0.135140\pi\)
−0.766488 + 0.642259i \(0.777997\pi\)
\(594\) 5.35118 + 23.4451i 0.219562 + 0.961962i
\(595\) −4.68253 40.2119i −0.191965 1.64853i
\(596\) 4.30388 18.8565i 0.176294 0.772393i
\(597\) −56.6010 + 19.8056i −2.31653 + 0.810588i
\(598\) 1.42287 + 0.894051i 0.0581857 + 0.0365605i
\(599\) 6.65210 + 13.8132i 0.271797 + 0.564393i 0.991533 0.129855i \(-0.0414513\pi\)
−0.719736 + 0.694248i \(0.755737\pi\)
\(600\) −14.0043 + 5.16630i −0.571725 + 0.210913i
\(601\) −2.16953 4.50508i −0.0884971 0.183766i 0.852023 0.523505i \(-0.175376\pi\)
−0.940520 + 0.339738i \(0.889661\pi\)
\(602\) −4.93024 9.02016i −0.200942 0.367634i
\(603\) 29.3827 + 83.9708i 1.19655 + 3.41956i
\(604\) −0.569813 + 0.130056i −0.0231853 + 0.00529190i
\(605\) 2.01349 7.21655i 0.0818599 0.293395i
\(606\) 9.31915 0.378564
\(607\) −22.6990 22.6990i −0.921322 0.921322i 0.0758009 0.997123i \(-0.475849\pi\)
−0.997123 + 0.0758009i \(0.975849\pi\)
\(608\) −5.66654 0.638466i −0.229809 0.0258932i
\(609\) 33.7820 + 18.8778i 1.36892 + 0.764967i
\(610\) 16.6678 + 18.3385i 0.674857 + 0.742503i
\(611\) −2.25463 + 2.82721i −0.0912125 + 0.114377i
\(612\) 13.3628 + 38.1887i 0.540159 + 1.54369i
\(613\) 8.82320 + 25.2153i 0.356366 + 1.01843i 0.972924 + 0.231125i \(0.0742407\pi\)
−0.616558 + 0.787309i \(0.711474\pi\)
\(614\) 16.5195 20.7148i 0.666672 0.835980i
\(615\) 48.1138 + 52.9365i 1.94013 + 2.13461i
\(616\) −4.90150 + 5.43333i −0.197487 + 0.218915i
\(617\) 39.1205 + 4.40783i 1.57493 + 0.177452i 0.855758 0.517376i \(-0.173091\pi\)
0.719175 + 0.694828i \(0.244520\pi\)
\(618\) −9.07811 9.07811i −0.365175 0.365175i
\(619\) −3.38449 −0.136034 −0.0680171 0.997684i \(-0.521667\pi\)
−0.0680171 + 0.997684i \(0.521667\pi\)
\(620\) −0.172078 + 0.616745i −0.00691080 + 0.0247691i
\(621\) −15.3731 + 3.50882i −0.616902 + 0.140804i
\(622\) 2.58211 + 7.37925i 0.103533 + 0.295881i
\(623\) −12.0626 8.64410i −0.483277 0.346319i
\(624\) −1.20025 2.49235i −0.0480486 0.0997740i
\(625\) −0.840779 24.9859i −0.0336311 0.999434i
\(626\) 10.9448 + 22.7271i 0.437443 + 0.908359i
\(627\) −39.8669 25.0500i −1.59213 1.00040i
\(628\) 0.0465037 0.0162724i 0.00185570 0.000649338i
\(629\) −12.4042 + 54.3462i −0.494586 + 2.16692i
\(630\) −29.6865 18.4994i −1.18274 0.737034i
\(631\) −0.766439 3.35799i −0.0305115 0.133679i 0.957378 0.288837i \(-0.0932686\pi\)
−0.987890 + 0.155158i \(0.950411\pi\)
\(632\) 4.89049 + 7.78316i 0.194533 + 0.309598i
\(633\) −8.27893 73.4776i −0.329058 2.92047i
\(634\) −16.4962 3.76515i −0.655147 0.149533i
\(635\) 5.72874 1.70272i 0.227338 0.0675705i
\(636\) 30.0715i 1.19241i
\(637\) −4.09149 + 5.03309i −0.162111 + 0.199418i
\(638\) −9.58180 9.58180i −0.379347 0.379347i
\(639\) 10.2737 + 21.3336i 0.406422 + 0.843944i
\(640\) 2.07298 + 0.838304i 0.0819417 + 0.0331369i
\(641\) 7.05831 8.85084i 0.278786 0.349587i −0.622649 0.782502i \(-0.713943\pi\)
0.901435 + 0.432915i \(0.142515\pi\)
\(642\) −26.8723 + 16.8850i −1.06057 + 0.666397i
\(643\) −1.03737 0.651823i −0.0409099 0.0257054i 0.511422 0.859330i \(-0.329119\pi\)
−0.552332 + 0.833624i \(0.686262\pi\)
\(644\) −3.56268 3.21395i −0.140389 0.126648i
\(645\) −23.8780 + 10.1267i −0.940194 + 0.398737i
\(646\) −35.1571 16.9307i −1.38324 0.666131i
\(647\) −12.9753 + 20.6500i −0.510111 + 0.811837i −0.998138 0.0609913i \(-0.980574\pi\)
0.488027 + 0.872828i \(0.337717\pi\)
\(648\) 7.75884 + 2.71494i 0.304796 + 0.106653i
\(649\) −3.58085 4.49024i −0.140561 0.176257i
\(650\) 4.59458 0.596096i 0.180214 0.0233808i
\(651\) −2.09363 + 0.855741i −0.0820559 + 0.0335391i
\(652\) −17.3823 + 6.08233i −0.680743 + 0.238202i
\(653\) 9.54671 15.1935i 0.373592 0.594568i −0.606024 0.795446i \(-0.707237\pi\)
0.979616 + 0.200878i \(0.0643795\pi\)
\(654\) 23.2905 + 29.2054i 0.910731 + 1.14202i
\(655\) −6.10210 + 4.40728i −0.238429 + 0.172207i
\(656\) 10.7160i 0.418389i
\(657\) −4.68884 + 41.6146i −0.182929 + 1.62354i
\(658\) 7.73098 6.84396i 0.301385 0.266805i
\(659\) −24.6144 19.6293i −0.958841 0.764650i 0.0130907 0.999914i \(-0.495833\pi\)
−0.971931 + 0.235264i \(0.924404\pi\)
\(660\) 12.4180 + 13.6627i 0.483369 + 0.531821i
\(661\) −7.72132 + 16.0335i −0.300324 + 0.623630i −0.995453 0.0952554i \(-0.969633\pi\)
0.695128 + 0.718886i \(0.255348\pi\)
\(662\) 18.6526 6.52681i 0.724952 0.253672i
\(663\) −2.11946 18.8107i −0.0823130 0.730548i
\(664\) −4.57900 + 5.74188i −0.177700 + 0.222828i
\(665\) 32.8618 7.62937i 1.27433 0.295854i
\(666\) 30.0297 + 37.6561i 1.16363 + 1.45914i
\(667\) 6.28287 6.28287i 0.243274 0.243274i
\(668\) 10.0014 10.0014i 0.386965 0.386965i
\(669\) 33.4119 26.6451i 1.29178 1.03016i
\(670\) 25.2750 + 22.2077i 0.976458 + 0.857957i
\(671\) 13.2992 27.6161i 0.513411 1.06611i
\(672\) 2.15102 + 7.60004i 0.0829776 + 0.293178i
\(673\) 24.6366 + 8.62073i 0.949672 + 0.332305i 0.760279 0.649597i \(-0.225062\pi\)
0.189393 + 0.981901i \(0.439348\pi\)
\(674\) −2.16673 + 1.72791i −0.0834594 + 0.0665566i
\(675\) −26.5305 + 34.4408i −1.02116 + 1.32563i
\(676\) −2.70171 11.8370i −0.103912 0.455268i
\(677\) 9.20552 + 26.3079i 0.353797 + 1.01109i 0.973980 + 0.226636i \(0.0727727\pi\)
−0.620183 + 0.784457i \(0.712942\pi\)
\(678\) −3.88942 6.18998i −0.149372 0.237725i
\(679\) −20.6918 29.4538i −0.794079 1.13033i
\(680\) 11.4947 + 10.0997i 0.440801 + 0.387306i
\(681\) 0.754336 3.30496i 0.0289062 0.126646i
\(682\) 0.786997 0.0886733i 0.0301357 0.00339547i
\(683\) −1.99383 + 1.25280i −0.0762916 + 0.0479372i −0.569638 0.821896i \(-0.692916\pi\)
0.493346 + 0.869833i \(0.335774\pi\)
\(684\) −30.3765 + 14.6286i −1.16148 + 0.559337i
\(685\) 26.6641 + 4.30004i 1.01878 + 0.164296i
\(686\) 13.9816 12.1456i 0.533819 0.463722i
\(687\) 1.39842 1.39842i 0.0533532 0.0533532i
\(688\) 3.66730 + 1.28324i 0.139814 + 0.0489232i
\(689\) 2.07695 9.09972i 0.0791256 0.346672i
\(690\) −8.95876 + 8.14257i −0.341054 + 0.309982i
\(691\) −40.9123 9.33796i −1.55638 0.355233i −0.644143 0.764905i \(-0.722786\pi\)
−0.912233 + 0.409672i \(0.865643\pi\)
\(692\) −9.29238 + 14.7887i −0.353243 + 0.562183i
\(693\) −7.44685 + 42.6190i −0.282882 + 1.61896i
\(694\) 6.80644 + 1.55353i 0.258369 + 0.0589710i
\(695\) −0.444365 2.48844i −0.0168557 0.0943920i
\(696\) −14.2600 + 3.25476i −0.540525 + 0.123371i
\(697\) 24.2191 69.2143i 0.917365 2.62168i
\(698\) 2.40325 + 0.270781i 0.0909644 + 0.0102492i
\(699\) −38.4826 + 18.5323i −1.45555 + 0.700955i
\(700\) −13.2160 0.581428i −0.499517 0.0219759i
\(701\) −26.1911 12.6130i −0.989224 0.476385i −0.131956 0.991256i \(-0.542126\pi\)
−0.857268 + 0.514871i \(0.827840\pi\)
\(702\) −6.82193 4.28650i −0.257477 0.161784i
\(703\) −46.1604 5.20102i −1.74097 0.196160i
\(704\) 2.76575i 0.104238i
\(705\) −15.2533 21.1189i −0.574473 0.795385i
\(706\) −18.5729 + 14.8114i −0.699000 + 0.557434i
\(707\) 7.61539 + 3.19628i 0.286406 + 0.120208i
\(708\) −6.16032 + 0.694102i −0.231519 + 0.0260859i
\(709\) −15.5535 12.4035i −0.584125 0.465824i 0.286290 0.958143i \(-0.407578\pi\)
−0.870415 + 0.492319i \(0.836149\pi\)
\(710\) 7.34671 + 5.12043i 0.275717 + 0.192166i
\(711\) 48.9660 + 23.5808i 1.83637 + 0.884349i
\(712\) 5.57374 0.628009i 0.208885 0.0235356i
\(713\) 0.0581438 + 0.516041i 0.00217750 + 0.0193259i
\(714\) −3.28338 + 53.9500i −0.122877 + 2.01903i
\(715\) −2.81407 4.99205i −0.105240 0.186692i
\(716\) 22.1752 0.828727
\(717\) 4.09466 + 4.09466i 0.152918 + 0.152918i
\(718\) −0.566156 + 5.02477i −0.0211287 + 0.187523i
\(719\) −3.69575 16.1921i −0.137828 0.603864i −0.995910 0.0903513i \(-0.971201\pi\)
0.858082 0.513513i \(-0.171656\pi\)
\(720\) 13.0149 2.32408i 0.485035 0.0866135i
\(721\) −4.30482 10.5320i −0.160320 0.392234i
\(722\) 4.46449 12.7588i 0.166151 0.474832i
\(723\) 5.97156 52.9991i 0.222085 1.97106i
\(724\) −12.1238 + 5.83853i −0.450579 + 0.216987i
\(725\) 2.33304 24.3860i 0.0866468 0.905672i
\(726\) −4.34007 + 9.01224i −0.161075 + 0.334476i
\(727\) 25.9896 16.3304i 0.963902 0.605660i 0.0445130 0.999009i \(-0.485826\pi\)
0.919389 + 0.393349i \(0.128684\pi\)
\(728\) −0.125993 2.44836i −0.00466962 0.0907422i
\(729\) −28.5375 + 6.51349i −1.05694 + 0.241240i
\(730\) 6.18376 + 14.5809i 0.228871 + 0.539663i
\(731\) 20.7867 + 16.5769i 0.768826 + 0.613118i
\(732\) −17.6026 28.0144i −0.650611 1.03544i
\(733\) 1.18269 3.37993i 0.0436836 0.124840i −0.919975 0.391976i \(-0.871792\pi\)
0.963659 + 0.267136i \(0.0860772\pi\)
\(734\) 19.1241 0.705882
\(735\) −27.0039 38.1360i −0.996053 1.40667i
\(736\) 1.81353 0.0668476
\(737\) 13.7447 39.2800i 0.506291 1.44690i
\(738\) −33.7086 53.6469i −1.24083 1.97477i
\(739\) 18.4447 + 14.7092i 0.678501 + 0.541086i 0.900985 0.433850i \(-0.142845\pi\)
−0.222484 + 0.974936i \(0.571417\pi\)
\(740\) 16.8868 + 6.82893i 0.620770 + 0.251036i
\(741\) 15.3791 3.51017i 0.564964 0.128949i
\(742\) −10.3139 + 24.5737i −0.378636 + 0.902131i
\(743\) −11.7953 + 7.41147i −0.432727 + 0.271900i −0.730733 0.682664i \(-0.760821\pi\)
0.298006 + 0.954564i \(0.403679\pi\)
\(744\) 0.370913 0.770209i 0.0135983 0.0282372i
\(745\) −32.4893 28.5465i −1.19032 1.04586i
\(746\) −2.19526 + 1.05718i −0.0803743 + 0.0387062i
\(747\) −4.86175 + 43.1492i −0.177882 + 1.57875i
\(748\) 6.25086 17.8639i 0.228554 0.653170i
\(749\) −27.7506 + 4.58137i −1.01399 + 0.167400i
\(750\) −4.75910 + 33.0365i −0.173778 + 1.20632i
\(751\) 2.95872 + 12.9630i 0.107965 + 0.473026i 0.999787 + 0.0206393i \(0.00657015\pi\)
−0.891822 + 0.452387i \(0.850573\pi\)
\(752\) −0.436944 + 3.87798i −0.0159337 + 0.141416i
\(753\) 52.2282 + 52.2282i 1.90330 + 1.90330i
\(754\) 4.53992 0.165334
\(755\) −0.351225 + 1.25883i −0.0127824 + 0.0458134i
\(756\) 17.0812 + 15.4092i 0.621236 + 0.560428i
\(757\) 2.94505 + 26.1380i 0.107039 + 0.950002i 0.926353 + 0.376656i \(0.122926\pi\)
−0.819314 + 0.573346i \(0.805645\pi\)
\(758\) −10.0458 + 1.13189i −0.364881 + 0.0411122i
\(759\) 13.4911 + 6.49697i 0.489696 + 0.235825i
\(760\) −7.29090 + 10.4609i −0.264469 + 0.379455i
\(761\) 38.2397 + 30.4951i 1.38619 + 1.10545i 0.981600 + 0.190947i \(0.0611558\pi\)
0.404586 + 0.914500i \(0.367416\pi\)
\(762\) −7.92898 + 0.893381i −0.287237 + 0.0323638i
\(763\) 9.01562 + 31.8542i 0.326387 + 1.15320i
\(764\) 16.1648 12.8910i 0.584823 0.466381i
\(765\) 89.3154 + 14.4036i 3.22920 + 0.520763i
\(766\) 21.7846i 0.787108i
\(767\) 1.91207 + 0.215439i 0.0690409 + 0.00777904i
\(768\) −2.52779 1.58832i −0.0912139 0.0573135i
\(769\) 25.5644 + 12.3112i 0.921877 + 0.443952i 0.833741 0.552156i \(-0.186195\pi\)
0.0881359 + 0.996108i \(0.471909\pi\)
\(770\) 5.46165 + 15.4240i 0.196824 + 0.555842i
\(771\) 30.2539 14.5695i 1.08957 0.524708i
\(772\) 20.8503 + 2.34926i 0.750417 + 0.0845517i
\(773\) 11.3375 32.4006i 0.407780 1.16537i −0.538670 0.842517i \(-0.681073\pi\)
0.946450 0.322851i \(-0.104641\pi\)
\(774\) 22.3961 5.11175i 0.805009 0.183738i
\(775\) 1.02929 + 0.995234i 0.0369731 + 0.0357499i
\(776\) 13.2639 + 3.02740i 0.476147 + 0.108677i
\(777\) 17.5225 + 61.9109i 0.628617 + 2.22104i
\(778\) −18.5579 + 29.5348i −0.665334 + 1.05887i
\(779\) 59.5747 + 13.5975i 2.13448 + 0.487182i
\(780\) −6.17861 0.294885i −0.221230 0.0105586i
\(781\) 2.46472 10.7986i 0.0881946 0.386406i
\(782\) 11.7135 + 4.09874i 0.418875 + 0.146571i
\(783\) −30.1230 + 30.1230i −1.07651 + 1.07651i
\(784\) −0.848892 + 6.94834i −0.0303176 + 0.248155i
\(785\) 0.0175398 0.108763i 0.000626022 0.00388190i
\(786\) 9.05444 4.36039i 0.322961 0.155530i
\(787\) −23.5816 + 14.8173i −0.840592 + 0.528179i −0.882156 0.470957i \(-0.843909\pi\)
0.0415641 + 0.999136i \(0.486766\pi\)
\(788\) −0.255620 + 0.0288014i −0.00910607 + 0.00102601i
\(789\) −9.94159 + 43.5570i −0.353930 + 1.55067i
\(790\) 20.5114 1.32501i 0.729762 0.0471418i
\(791\) −1.05531 6.39231i −0.0375225 0.227284i
\(792\) −8.70006 13.8461i −0.309143 0.491999i
\(793\) 3.39172 + 9.69299i 0.120444 + 0.344208i
\(794\) −4.74714 20.7986i −0.168470 0.738114i
\(795\) 59.1231 + 32.0301i 2.09688 + 1.13599i
\(796\) 15.7043 12.5238i 0.556625 0.443894i
\(797\) −17.5040 6.12491i −0.620023 0.216955i 0.00194510 0.999998i \(-0.499381\pi\)
−0.621968 + 0.783043i \(0.713667\pi\)
\(798\) −44.9813 + 2.31475i −1.59232 + 0.0819413i
\(799\) −11.5868 + 24.0603i −0.409912 + 0.851191i
\(800\) 3.85618 3.18275i 0.136336 0.112527i
\(801\) 25.9280 20.6769i 0.916122 0.730583i
\(802\) −11.7941 + 11.7941i −0.416463 + 0.416463i
\(803\) 13.8520 13.8520i 0.488827 0.488827i
\(804\) −28.0071 35.1198i −0.987734 1.23858i
\(805\) −10.1136 + 3.58125i −0.356459 + 0.126222i
\(806\) −0.165435 + 0.207449i −0.00582721 + 0.00730709i
\(807\) −7.27888 64.6019i −0.256229 2.27409i
\(808\) −2.94642 + 1.03100i −0.103655 + 0.0362704i
\(809\) 4.10526 8.52466i 0.144333 0.299711i −0.816252 0.577696i \(-0.803952\pi\)
0.960586 + 0.277984i \(0.0896664\pi\)
\(810\) 13.6020 12.3628i 0.477925 0.434384i
\(811\) −5.74390 4.58061i −0.201696 0.160847i 0.517433 0.855723i \(-0.326888\pi\)
−0.719129 + 0.694877i \(0.755459\pi\)
\(812\) −12.7693 2.23119i −0.448114 0.0782994i
\(813\) −1.09693 + 9.73554i −0.0384711 + 0.341440i
\(814\) 22.5302i 0.789682i
\(815\) −6.55607 + 40.6536i −0.229649 + 1.42403i
\(816\) −12.7372 15.9720i −0.445892 0.559130i
\(817\) −11.7875 + 18.7598i −0.412394 + 0.656321i
\(818\) −1.24442 + 0.435442i −0.0435102 + 0.0152249i
\(819\) −8.33240 11.8608i −0.291158 0.414449i
\(820\) −21.0685 11.4139i −0.735745 0.398592i
\(821\) −1.06031 1.32958i −0.0370049 0.0464027i 0.762985 0.646417i \(-0.223733\pi\)
−0.799990 + 0.600014i \(0.795162\pi\)
\(822\) −34.0358 11.9096i −1.18713 0.415396i
\(823\) 12.0308 19.1469i 0.419367 0.667419i −0.568506 0.822679i \(-0.692479\pi\)
0.987874 + 0.155260i \(0.0496214\pi\)
\(824\) 3.87454 + 1.86588i 0.134976 + 0.0650011i
\(825\) 40.0889 9.86219i 1.39572 0.343358i
\(826\) −5.27214 1.54566i −0.183441 0.0537805i
\(827\) −31.1532 19.5748i −1.08330 0.680683i −0.132718 0.991154i \(-0.542371\pi\)
−0.950583 + 0.310470i \(0.899513\pi\)
\(828\) 9.07899 5.70471i 0.315517 0.198252i
\(829\) 28.1886 35.3474i 0.979031 1.22767i 0.00529455 0.999986i \(-0.498315\pi\)
0.973736 0.227680i \(-0.0731139\pi\)
\(830\) 6.41179 + 15.1186i 0.222557 + 0.524773i
\(831\) 34.8269 + 72.3189i 1.20813 + 2.50871i
\(832\) 0.655217 + 0.655217i 0.0227156 + 0.0227156i
\(833\) −21.1869 + 42.9606i −0.734081 + 1.48850i
\(834\) 3.37488i 0.116863i
\(835\) −9.01077 30.3163i −0.311830 1.04914i
\(836\) 15.3760 + 3.50947i 0.531790 + 0.121378i
\(837\) −0.278769 2.47414i −0.00963566 0.0855189i
\(838\) −9.08832 14.4640i −0.313951 0.499650i
\(839\) 8.32426 + 36.4710i 0.287385 + 1.25912i 0.888099 + 0.459653i \(0.152026\pi\)
−0.600713 + 0.799465i \(0.705117\pi\)
\(840\) 17.2335 + 3.86595i 0.594611 + 0.133388i
\(841\) −1.11155 + 4.87003i −0.0383294 + 0.167932i
\(842\) −27.1428 + 9.49766i −0.935401 + 0.327311i
\(843\) 22.5277 + 14.1551i 0.775896 + 0.487528i
\(844\) 10.7465 + 22.3154i 0.369910 + 0.768127i
\(845\) −26.1502 7.29615i −0.899594 0.250995i
\(846\) 10.0113 + 20.7886i 0.344195 + 0.714728i
\(847\) −6.63762 + 5.87604i −0.228071 + 0.201903i
\(848\) −3.32687 9.50766i −0.114245 0.326494i
\(849\) −50.1141 + 11.4382i −1.71991 + 0.392559i
\(850\) 32.1003 11.8420i 1.10103 0.406177i
\(851\) 14.7732 0.506420
\(852\) −8.45411 8.45411i −0.289633 0.289633i
\(853\) 16.9525 + 1.91008i 0.580441 + 0.0654000i 0.397304 0.917687i \(-0.369946\pi\)
0.183138 + 0.983087i \(0.441375\pi\)
\(854\) −4.77608 28.9301i −0.163434 0.989966i
\(855\) −3.59402 + 75.3042i −0.122913 + 2.57535i
\(856\) 6.62815 8.31144i 0.226546 0.284079i
\(857\) 1.45685 + 4.16344i 0.0497651 + 0.142220i 0.966083 0.258230i \(-0.0831393\pi\)
−0.916318 + 0.400451i \(0.868854\pi\)
\(858\) 2.52694 + 7.22157i 0.0862682 + 0.246540i
\(859\) −17.1205 + 21.4684i −0.584142 + 0.732491i −0.982813 0.184603i \(-0.940900\pi\)
0.398671 + 0.917094i \(0.369472\pi\)
\(860\) 6.42913 5.84340i 0.219231 0.199258i
\(861\) −13.7868 83.5106i −0.469853 2.84603i
\(862\) 9.73556 + 1.09693i 0.331595 + 0.0373617i
\(863\) −17.9780 17.9780i −0.611980 0.611980i 0.331482 0.943462i \(-0.392451\pi\)
−0.943462 + 0.331482i \(0.892451\pi\)
\(864\) −8.69491 −0.295807
\(865\) 19.1783 + 34.0216i 0.652082 + 1.15677i
\(866\) −24.5990 + 5.61455i −0.835907 + 0.190790i
\(867\) −29.4091 84.0463i −0.998785 2.85436i
\(868\) 0.567268 0.502181i 0.0192543 0.0170451i
\(869\) −11.0307 22.9054i −0.374189 0.777012i
\(870\) −8.78969 + 31.5032i −0.297998 + 1.06806i
\(871\) 6.04941 + 12.5617i 0.204976 + 0.425638i
\(872\) −10.5948 6.65714i −0.358785 0.225439i
\(873\) 75.9257 26.5676i 2.56970 0.899176i
\(874\) −2.30119 + 10.0822i −0.0778389 + 0.341035i
\(875\) −15.2199 + 25.3644i −0.514527 + 0.857474i
\(876\) −4.70528 20.6152i −0.158977 0.696522i
\(877\) 5.01273 + 7.97771i 0.169268 + 0.269388i 0.920576 0.390563i \(-0.127720\pi\)
−0.751308 + 0.659951i \(0.770577\pi\)
\(878\) 2.36920 + 21.0272i 0.0799565 + 0.709634i
\(879\) 59.1696 + 13.5051i 1.99574 + 0.455515i
\(880\) −5.43771 2.94589i −0.183305 0.0993061i
\(881\) 28.0706i 0.945724i 0.881137 + 0.472862i \(0.156779\pi\)
−0.881137 + 0.472862i \(0.843221\pi\)
\(882\) 17.6072 + 37.4554i 0.592865 + 1.26119i
\(883\) 11.7545 + 11.7545i 0.395571 + 0.395571i 0.876668 0.481096i \(-0.159761\pi\)
−0.481096 + 0.876668i \(0.659761\pi\)
\(884\) 2.75118 + 5.71288i 0.0925322 + 0.192145i
\(885\) −5.19690 + 12.8510i −0.174692 + 0.431983i
\(886\) −14.2270 + 17.8401i −0.477965 + 0.599349i
\(887\) 13.6708 8.58993i 0.459020 0.288421i −0.282605 0.959236i \(-0.591198\pi\)
0.741625 + 0.670815i \(0.234056\pi\)
\(888\) −20.5917 12.9386i −0.691013 0.434192i
\(889\) −6.78579 1.98943i −0.227588 0.0667233i
\(890\) 4.70205 11.6274i 0.157613 0.389750i
\(891\) −20.4834 9.86429i −0.686220 0.330466i
\(892\) −7.61598 + 12.1208i −0.255002 + 0.405833i
\(893\) −21.0049 7.34994i −0.702903 0.245956i
\(894\) 36.0013 + 45.1442i 1.20406 + 1.50985i
\(895\) 23.6196 43.5984i 0.789515 1.45733i
\(896\) −1.52089 2.16492i −0.0508095 0.0723249i
\(897\) −4.73525 + 1.65693i −0.158105 + 0.0553234i
\(898\) −5.98749 + 9.52904i −0.199805 + 0.317988i
\(899\) 0.874735 + 1.09688i 0.0291741 + 0.0365831i
\(900\) 9.29321 28.0638i 0.309774 0.935460i
\(901\) 68.9288i 2.29635i
\(902\) −3.31838 + 29.4514i −0.110490 + 0.980625i
\(903\) 30.2306 + 5.28221i 1.00601 + 0.175781i
\(904\) 1.91452 + 1.52678i 0.0636761 + 0.0507800i
\(905\) −1.43444 + 30.0553i −0.0476824 + 0.999072i
\(906\) 0.757064 1.57206i 0.0251518 0.0522282i
\(907\) −18.6472 + 6.52495i −0.619171 + 0.216657i −0.621594 0.783340i \(-0.713515\pi\)
0.00242259 + 0.999997i \(0.499229\pi\)
\(908\) 0.127138 + 1.12838i 0.00421921 + 0.0374466i
\(909\) −11.5074 + 14.4298i −0.381676 + 0.478606i
\(910\) −4.94788 2.36011i −0.164021 0.0782370i
\(911\) −19.1615 24.0278i −0.634850 0.796077i 0.355498 0.934677i \(-0.384311\pi\)
−0.990348 + 0.138600i \(0.955740\pi\)
\(912\) 12.0377 12.0377i 0.398607 0.398607i
\(913\) 14.3628 14.3628i 0.475340 0.475340i
\(914\) −23.0006 + 18.3424i −0.760793 + 0.606712i
\(915\) −73.8278 + 4.76919i −2.44067 + 0.157665i
\(916\) −0.287427 + 0.596848i −0.00949685 + 0.0197204i
\(917\) 8.89461 0.457720i 0.293726 0.0151152i
\(918\) −56.1602 19.6513i −1.85356 0.648590i
\(919\) −3.52959 + 2.81475i −0.116430 + 0.0928501i −0.679974 0.733236i \(-0.738009\pi\)
0.563544 + 0.826086i \(0.309438\pi\)
\(920\) 1.93165 3.56555i 0.0636846 0.117553i
\(921\) 17.6010 + 77.1151i 0.579973 + 2.54103i
\(922\) −3.46834 9.91195i −0.114224 0.326433i
\(923\) 1.97434 + 3.14214i 0.0649861 + 0.103425i
\(924\) −3.55832 21.5538i −0.117060 0.709067i
\(925\) 31.4129 25.9271i 1.03285 0.852478i
\(926\) −5.54644 + 24.3006i −0.182267 + 0.798566i
\(927\) 25.2663 2.84683i 0.829856 0.0935023i
\(928\) 4.14849 2.60667i 0.136181 0.0855682i
\(929\) 40.2339 19.3756i 1.32003 0.635694i 0.364671 0.931136i \(-0.381181\pi\)
0.955361 + 0.295443i \(0.0954671\pi\)
\(930\) −1.11922 1.54962i −0.0367008 0.0508141i
\(931\) −37.5516 13.5361i −1.23070 0.443628i
\(932\) 10.1167 10.1167i 0.331385 0.331385i
\(933\) −22.0299 7.70859i −0.721226 0.252368i
\(934\) −0.172356 + 0.755140i −0.00563965 + 0.0247089i
\(935\) −28.4640 31.3172i −0.930873 1.02418i
\(936\) 5.34126 + 1.21911i 0.174584 + 0.0398478i
\(937\) −0.824191 + 1.31169i −0.0269251 + 0.0428511i −0.859916 0.510436i \(-0.829484\pi\)
0.832991 + 0.553287i \(0.186627\pi\)
\(938\) −10.8414 38.3050i −0.353984 1.25070i
\(939\) −73.4188 16.7574i −2.39593 0.546856i
\(940\) 7.15905 + 4.98964i 0.233502 + 0.162744i
\(941\) −50.9870 + 11.6375i −1.66213 + 0.379370i −0.947405 0.320037i \(-0.896305\pi\)
−0.714724 + 0.699407i \(0.753448\pi\)
\(942\) −0.0485792 + 0.138831i −0.00158280 + 0.00452337i
\(943\) −19.3115 2.17589i −0.628870 0.0708567i
\(944\) 1.87091 0.900983i 0.0608929 0.0293245i
\(945\) 48.4896 17.1702i 1.57737 0.558547i
\(946\) −9.68169 4.66246i −0.314779 0.151590i
\(947\) 31.3458 + 19.6959i 1.01860 + 0.640029i 0.934328 0.356413i \(-0.116001\pi\)
0.0842725 + 0.996443i \(0.473143\pi\)
\(948\) −27.2693 3.07252i −0.885667 0.0997907i
\(949\) 6.56319i 0.213050i
\(950\) 12.8012 + 25.4767i 0.415324 + 0.826574i
\(951\) 39.4933 31.4949i 1.28066 1.02129i
\(952\) −4.93050 17.4205i −0.159798 0.564603i
\(953\) −13.1022 + 1.47627i −0.424422 + 0.0478209i −0.321593 0.946878i \(-0.604218\pi\)
−0.102830 + 0.994699i \(0.532790\pi\)
\(954\) −46.5628 37.1326i −1.50753 1.20221i
\(955\) −8.12717 45.5121i −0.262989 1.47274i
\(956\) −1.74760 0.841601i −0.0565215 0.0272193i
\(957\) 40.1997 4.52941i 1.29947 0.146415i
\(958\) 0.131284 + 1.16517i 0.00424158 + 0.0376450i
\(959\) −23.7285 21.4059i −0.766233 0.691231i
\(960\) −5.81521 + 3.27809i −0.187685 + 0.105800i
\(961\) 30.9180 0.997355
\(962\) 5.33748 + 5.33748i 0.172087 + 0.172087i
\(963\) 7.03743 62.4590i 0.226778 2.01271i
\(964\) 3.97538 + 17.4173i 0.128038 + 0.560973i
\(965\) 26.8271 38.4911i 0.863596 1.23907i
\(966\) 14.1330 2.33322i 0.454722 0.0750702i
\(967\) −7.66024 + 21.8917i −0.246337 + 0.703990i 0.752626 + 0.658449i \(0.228787\pi\)
−0.998962 + 0.0455413i \(0.985499\pi\)
\(968\) 0.375149 3.32954i 0.0120577 0.107015i
\(969\) 104.957 50.5447i 3.37171 1.62373i
\(970\) 20.0800 22.8534i 0.644729 0.733779i
\(971\) −2.83811 + 5.89340i −0.0910793 + 0.189128i −0.941532 0.336923i \(-0.890614\pi\)
0.850453 + 0.526051i \(0.176328\pi\)
\(972\) 1.30778 0.821733i 0.0419471 0.0263571i
\(973\) −1.15752 + 2.75788i −0.0371083 + 0.0884135i
\(974\) 8.32539 1.90021i 0.266763 0.0608868i
\(975\) −7.16081 + 11.8336i −0.229329 + 0.378978i
\(976\) 8.66468 + 6.90985i 0.277350 + 0.221179i
\(977\) −6.96672 11.0875i −0.222885 0.354720i 0.716498 0.697589i \(-0.245744\pi\)
−0.939383 + 0.342870i \(0.888601\pi\)
\(978\) 18.1581 51.8928i 0.580631 1.65935i
\(979\) −15.5131 −0.495802
\(980\) 12.7568 + 9.06989i 0.407502 + 0.289727i
\(981\) −73.9811 −2.36204
\(982\) 0.196086 0.560382i 0.00625736 0.0178825i
\(983\) 8.06270 + 12.8317i 0.257160 + 0.409268i 0.950205 0.311627i \(-0.100874\pi\)
−0.693044 + 0.720895i \(0.743731\pi\)
\(984\) 25.0118 + 19.9462i 0.797347 + 0.635863i
\(985\) −0.215643 + 0.533247i −0.00687095 + 0.0169907i
\(986\) 32.6863 7.46044i 1.04095 0.237589i
\(987\) 1.58414 + 30.7836i 0.0504236 + 0.979854i
\(988\) −4.47404 + 2.81122i −0.142338 + 0.0894369i
\(989\) 3.05721 6.34837i 0.0972137 0.201866i
\(990\) −36.4893 + 2.35717i −1.15971 + 0.0749157i
\(991\) −48.8899 + 23.5441i −1.55304 + 0.747905i −0.996554 0.0829522i \(-0.973565\pi\)
−0.556486 + 0.830857i \(0.687851\pi\)
\(992\) −0.0320611 + 0.284551i −0.00101794 + 0.00903449i
\(993\) −19.4850 + 55.6850i −0.618338 + 1.76711i
\(994\) −4.00892 9.80810i −0.127155 0.311094i
\(995\) −7.89564 44.2156i −0.250309 1.40173i
\(996\) −4.87879 21.3754i −0.154590 0.677304i
\(997\) 4.50721 40.0026i 0.142745 1.26689i −0.694271 0.719714i \(-0.744273\pi\)
0.837015 0.547180i \(-0.184299\pi\)
\(998\) 8.50818 + 8.50818i 0.269322 + 0.269322i
\(999\) −70.8299 −2.24096
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 490.2.s.a.223.27 yes 336
5.2 odd 4 inner 490.2.s.a.27.27 336
49.20 odd 14 inner 490.2.s.a.363.27 yes 336
245.167 even 28 inner 490.2.s.a.167.27 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
490.2.s.a.27.27 336 5.2 odd 4 inner
490.2.s.a.167.27 yes 336 245.167 even 28 inner
490.2.s.a.223.27 yes 336 1.1 even 1 trivial
490.2.s.a.363.27 yes 336 49.20 odd 14 inner