Properties

Label 430.2.r.a.27.9
Level $430$
Weight $2$
Character 430.27
Analytic conductor $3.434$
Analytic rank $0$
Dimension $264$
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] = [430,2,Mod(27,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(28))
 
chi = DirichletCharacter(H, H._module([7, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.27");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.r (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: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(22\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 27.9
Character \(\chi\) \(=\) 430.27
Dual form 430.2.r.a.223.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.846724 - 0.532032i) q^{2} +(1.93498 - 1.21583i) q^{3} +(0.433884 + 0.900969i) q^{4} +(0.121846 - 2.23275i) q^{5} -2.28525 q^{6} +(1.40881 - 1.40881i) q^{7} +(0.111964 - 0.993712i) q^{8} +(0.964257 - 2.00230i) q^{9} +O(q^{10})\) \(q+(-0.846724 - 0.532032i) q^{2} +(1.93498 - 1.21583i) q^{3} +(0.433884 + 0.900969i) q^{4} +(0.121846 - 2.23275i) q^{5} -2.28525 q^{6} +(1.40881 - 1.40881i) q^{7} +(0.111964 - 0.993712i) q^{8} +(0.964257 - 2.00230i) q^{9} +(-1.29106 + 1.82569i) q^{10} +(4.74743 + 2.28624i) q^{11} +(1.93498 + 1.21583i) q^{12} +(-1.11812 - 0.125982i) q^{13} +(-1.94241 + 0.443343i) q^{14} +(-2.47887 - 4.46846i) q^{15} +(-0.623490 + 0.781831i) q^{16} +(-7.62228 + 0.858824i) q^{17} +(-1.88175 + 1.18238i) q^{18} +(5.88519 - 2.83416i) q^{19} +(2.06450 - 0.858973i) q^{20} +(1.01315 - 4.43890i) q^{21} +(-2.80341 - 4.46160i) q^{22} +(-3.03590 + 1.06231i) q^{23} +(-0.991535 - 2.05894i) q^{24} +(-4.97031 - 0.544101i) q^{25} +(0.879712 + 0.701547i) q^{26} +(0.198966 + 1.76587i) q^{27} +(1.88056 + 0.658036i) q^{28} +(1.95286 + 8.55602i) q^{29} +(-0.278448 + 5.10239i) q^{30} +(-1.53864 - 6.74124i) q^{31} +(0.943883 - 0.330279i) q^{32} +(11.9659 - 1.34823i) q^{33} +(6.91089 + 3.32811i) q^{34} +(-2.97387 - 3.31718i) q^{35} +2.22239 q^{36} +(0.556342 - 0.556342i) q^{37} +(-6.49099 - 0.731359i) q^{38} +(-2.31671 + 1.11567i) q^{39} +(-2.20506 - 0.371068i) q^{40} +(-0.707767 - 3.10093i) q^{41} +(-3.21950 + 3.21950i) q^{42} +(5.09750 + 4.12498i) q^{43} +5.26925i q^{44} +(-4.35314 - 2.39691i) q^{45} +(3.13575 + 0.715714i) q^{46} +(-9.25775 - 3.23943i) q^{47} +(-0.255867 + 2.27088i) q^{48} +3.03048i q^{49} +(3.91900 + 3.10507i) q^{50} +(-13.7048 + 10.9292i) q^{51} +(-0.371628 - 1.06205i) q^{52} +(-0.311557 - 2.76515i) q^{53} +(0.771031 - 1.60106i) q^{54} +(5.68305 - 10.3212i) q^{55} +(-1.24222 - 1.55769i) q^{56} +(7.94187 - 12.6394i) q^{57} +(2.89855 - 8.28357i) q^{58} +(0.898833 + 0.716795i) q^{59} +(2.95040 - 4.17217i) q^{60} +(-1.02250 - 0.233380i) q^{61} +(-2.28375 + 6.52658i) q^{62} +(-1.46241 - 4.17933i) q^{63} +(-0.974928 - 0.222521i) q^{64} +(-0.417523 + 2.48112i) q^{65} +(-10.8491 - 5.22464i) q^{66} +(5.75922 + 2.01524i) q^{67} +(-4.08096 - 6.49480i) q^{68} +(-4.58282 + 5.74667i) q^{69} +(0.753197 + 4.39093i) q^{70} +(-0.908579 - 1.88668i) q^{71} +(-1.88175 - 1.18238i) q^{72} +(1.59805 - 14.1831i) q^{73} +(-0.767060 + 0.175077i) q^{74} +(-10.2790 + 4.99022i) q^{75} +(5.10697 + 4.07268i) q^{76} +(9.90913 - 3.46736i) q^{77} +(2.55518 + 0.287900i) q^{78} +11.8767i q^{79} +(1.66966 + 1.48736i) q^{80} +(6.68890 + 8.38761i) q^{81} +(-1.05051 + 3.00219i) q^{82} +(3.70249 + 5.89247i) q^{83} +(4.43890 - 1.01315i) q^{84} +(0.988795 + 17.1233i) q^{85} +(-2.12156 - 6.20476i) q^{86} +(14.1814 + 14.1814i) q^{87} +(2.80341 - 4.46160i) q^{88} +(-2.39077 + 10.4746i) q^{89} +(2.41067 + 4.34553i) q^{90} +(-1.75271 + 1.39774i) q^{91} +(-2.27433 - 2.27433i) q^{92} +(-11.1734 - 11.1734i) q^{93} +(6.11528 + 7.66832i) q^{94} +(-5.61087 - 13.4855i) q^{95} +(1.42483 - 1.78668i) q^{96} +(3.83971 + 10.9733i) q^{97} +(1.61231 - 2.56598i) q^{98} +(9.15548 - 7.30125i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 8 q^{6} - 40 q^{13} + 44 q^{16} - 8 q^{17} - 16 q^{21} - 24 q^{23} - 8 q^{25} + 48 q^{31} - 56 q^{33} + 32 q^{35} + 256 q^{36} - 100 q^{38} + 40 q^{41} - 168 q^{43} + 48 q^{47} - 280 q^{51} - 16 q^{52} + 24 q^{53} - 8 q^{56} - 40 q^{57} - 16 q^{60} - 84 q^{62} + 84 q^{65} + 144 q^{66} + 40 q^{67} + 20 q^{68} - 252 q^{73} - 56 q^{77} - 56 q^{78} + 48 q^{81} - 56 q^{82} - 44 q^{83} + 20 q^{86} - 144 q^{87} + 4 q^{90} + 24 q^{92} + 28 q^{95} + 8 q^{96} - 60 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.846724 0.532032i −0.598724 0.376203i
\(3\) 1.93498 1.21583i 1.11716 0.701959i 0.158741 0.987320i \(-0.449256\pi\)
0.958420 + 0.285361i \(0.0921136\pi\)
\(4\) 0.433884 + 0.900969i 0.216942 + 0.450484i
\(5\) 0.121846 2.23275i 0.0544910 0.998514i
\(6\) −2.28525 −0.932951
\(7\) 1.40881 1.40881i 0.532482 0.532482i −0.388828 0.921310i \(-0.627120\pi\)
0.921310 + 0.388828i \(0.127120\pi\)
\(8\) 0.111964 0.993712i 0.0395854 0.351330i
\(9\) 0.964257 2.00230i 0.321419 0.667434i
\(10\) −1.29106 + 1.82569i −0.408270 + 0.577335i
\(11\) 4.74743 + 2.28624i 1.43140 + 0.689328i 0.979258 0.202617i \(-0.0649446\pi\)
0.452145 + 0.891944i \(0.350659\pi\)
\(12\) 1.93498 + 1.21583i 0.558581 + 0.350979i
\(13\) −1.11812 0.125982i −0.310110 0.0349410i −0.0444621 0.999011i \(-0.514157\pi\)
−0.265648 + 0.964070i \(0.585586\pi\)
\(14\) −1.94241 + 0.443343i −0.519131 + 0.118488i
\(15\) −2.47887 4.46846i −0.640041 1.15375i
\(16\) −0.623490 + 0.781831i −0.155872 + 0.195458i
\(17\) −7.62228 + 0.858824i −1.84867 + 0.208295i −0.965438 0.260634i \(-0.916069\pi\)
−0.883236 + 0.468929i \(0.844640\pi\)
\(18\) −1.88175 + 1.18238i −0.443532 + 0.278690i
\(19\) 5.88519 2.83416i 1.35015 0.650200i 0.387736 0.921770i \(-0.373257\pi\)
0.962419 + 0.271570i \(0.0875429\pi\)
\(20\) 2.06450 0.858973i 0.461637 0.192072i
\(21\) 1.01315 4.43890i 0.221088 0.968648i
\(22\) −2.80341 4.46160i −0.597689 0.951216i
\(23\) −3.03590 + 1.06231i −0.633028 + 0.221506i −0.627670 0.778479i \(-0.715991\pi\)
−0.00535831 + 0.999986i \(0.501706\pi\)
\(24\) −0.991535 2.05894i −0.202396 0.420280i
\(25\) −4.97031 0.544101i −0.994061 0.108820i
\(26\) 0.879712 + 0.701547i 0.172526 + 0.137585i
\(27\) 0.198966 + 1.76587i 0.0382910 + 0.339842i
\(28\) 1.88056 + 0.658036i 0.355392 + 0.124357i
\(29\) 1.95286 + 8.55602i 0.362636 + 1.58881i 0.746476 + 0.665413i \(0.231744\pi\)
−0.383839 + 0.923400i \(0.625398\pi\)
\(30\) −0.278448 + 5.10239i −0.0508375 + 0.931565i
\(31\) −1.53864 6.74124i −0.276349 1.21076i −0.902372 0.430958i \(-0.858176\pi\)
0.626023 0.779804i \(-0.284682\pi\)
\(32\) 0.943883 0.330279i 0.166857 0.0583856i
\(33\) 11.9659 1.34823i 2.08299 0.234696i
\(34\) 6.91089 + 3.32811i 1.18521 + 0.570766i
\(35\) −2.97387 3.31718i −0.502675 0.560706i
\(36\) 2.22239 0.370398
\(37\) 0.556342 0.556342i 0.0914621 0.0914621i −0.659895 0.751357i \(-0.729399\pi\)
0.751357 + 0.659895i \(0.229399\pi\)
\(38\) −6.49099 0.731359i −1.05298 0.118642i
\(39\) −2.31671 + 1.11567i −0.370970 + 0.178650i
\(40\) −2.20506 0.371068i −0.348651 0.0586710i
\(41\) −0.707767 3.10093i −0.110535 0.484284i −0.999646 0.0265936i \(-0.991534\pi\)
0.889112 0.457690i \(-0.151323\pi\)
\(42\) −3.21950 + 3.21950i −0.496779 + 0.496779i
\(43\) 5.09750 + 4.12498i 0.777362 + 0.629054i
\(44\) 5.26925i 0.794369i
\(45\) −4.35314 2.39691i −0.648927 0.357311i
\(46\) 3.13575 + 0.715714i 0.462341 + 0.105526i
\(47\) −9.25775 3.23943i −1.35038 0.472519i −0.444397 0.895830i \(-0.646582\pi\)
−0.905985 + 0.423311i \(0.860868\pi\)
\(48\) −0.255867 + 2.27088i −0.0369313 + 0.327774i
\(49\) 3.03048i 0.432926i
\(50\) 3.91900 + 3.10507i 0.554230 + 0.439123i
\(51\) −13.7048 + 10.9292i −1.91905 + 1.53039i
\(52\) −0.371628 1.06205i −0.0515355 0.147280i
\(53\) −0.311557 2.76515i −0.0427957 0.379822i −0.996794 0.0800104i \(-0.974505\pi\)
0.953998 0.299812i \(-0.0969239\pi\)
\(54\) 0.771031 1.60106i 0.104924 0.217877i
\(55\) 5.68305 10.3212i 0.766302 1.39171i
\(56\) −1.24222 1.55769i −0.165998 0.208156i
\(57\) 7.94187 12.6394i 1.05193 1.67413i
\(58\) 2.89855 8.28357i 0.380598 1.08769i
\(59\) 0.898833 + 0.716795i 0.117018 + 0.0933188i 0.680250 0.732980i \(-0.261871\pi\)
−0.563232 + 0.826299i \(0.690442\pi\)
\(60\) 2.95040 4.17217i 0.380896 0.538625i
\(61\) −1.02250 0.233380i −0.130918 0.0298812i 0.156560 0.987668i \(-0.449960\pi\)
−0.287478 + 0.957787i \(0.592817\pi\)
\(62\) −2.28375 + 6.52658i −0.290036 + 0.828877i
\(63\) −1.46241 4.17933i −0.184246 0.526546i
\(64\) −0.974928 0.222521i −0.121866 0.0278151i
\(65\) −0.417523 + 2.48112i −0.0517874 + 0.307746i
\(66\) −10.8491 5.22464i −1.33543 0.643109i
\(67\) 5.75922 + 2.01524i 0.703601 + 0.246201i 0.658281 0.752772i \(-0.271284\pi\)
0.0453194 + 0.998973i \(0.485569\pi\)
\(68\) −4.08096 6.49480i −0.494889 0.787611i
\(69\) −4.58282 + 5.74667i −0.551707 + 0.691818i
\(70\) 0.753197 + 4.39093i 0.0900243 + 0.524817i
\(71\) −0.908579 1.88668i −0.107828 0.223908i 0.840072 0.542475i \(-0.182513\pi\)
−0.947900 + 0.318567i \(0.896798\pi\)
\(72\) −1.88175 1.18238i −0.221766 0.139345i
\(73\) 1.59805 14.1831i 0.187037 1.66000i −0.452889 0.891567i \(-0.649607\pi\)
0.639927 0.768436i \(-0.278965\pi\)
\(74\) −0.767060 + 0.175077i −0.0891690 + 0.0203522i
\(75\) −10.2790 + 4.99022i −1.18691 + 0.576221i
\(76\) 5.10697 + 4.07268i 0.585810 + 0.467168i
\(77\) 9.90913 3.46736i 1.12925 0.395142i
\(78\) 2.55518 + 0.287900i 0.289318 + 0.0325983i
\(79\) 11.8767i 1.33623i 0.744059 + 0.668114i \(0.232898\pi\)
−0.744059 + 0.668114i \(0.767102\pi\)
\(80\) 1.66966 + 1.48736i 0.186674 + 0.166292i
\(81\) 6.68890 + 8.38761i 0.743211 + 0.931957i
\(82\) −1.05051 + 3.00219i −0.116010 + 0.331536i
\(83\) 3.70249 + 5.89247i 0.406401 + 0.646783i 0.985735 0.168307i \(-0.0538301\pi\)
−0.579334 + 0.815090i \(0.696687\pi\)
\(84\) 4.43890 1.01315i 0.484324 0.110544i
\(85\) 0.988795 + 17.1233i 0.107250 + 1.85728i
\(86\) −2.12156 6.20476i −0.228773 0.669076i
\(87\) 14.1814 + 14.1814i 1.52040 + 1.52040i
\(88\) 2.80341 4.46160i 0.298844 0.475608i
\(89\) −2.39077 + 10.4746i −0.253421 + 1.11031i 0.674718 + 0.738076i \(0.264265\pi\)
−0.928139 + 0.372234i \(0.878592\pi\)
\(90\) 2.41067 + 4.34553i 0.254107 + 0.458059i
\(91\) −1.75271 + 1.39774i −0.183734 + 0.146523i
\(92\) −2.27433 2.27433i −0.237115 0.237115i
\(93\) −11.1734 11.1734i −1.15863 1.15863i
\(94\) 6.11528 + 7.66832i 0.630743 + 0.790927i
\(95\) −5.61087 13.4855i −0.575663 1.38358i
\(96\) 1.42483 1.78668i 0.145421 0.182353i
\(97\) 3.83971 + 10.9733i 0.389864 + 1.11417i 0.956886 + 0.290464i \(0.0938097\pi\)
−0.567022 + 0.823703i \(0.691905\pi\)
\(98\) 1.61231 2.56598i 0.162868 0.259204i
\(99\) 9.15548 7.30125i 0.920161 0.733804i
\(100\) −1.66632 4.71417i −0.166632 0.471417i
\(101\) 3.96123 1.90763i 0.394157 0.189816i −0.226298 0.974058i \(-0.572662\pi\)
0.620455 + 0.784242i \(0.286948\pi\)
\(102\) 17.4188 1.96263i 1.72472 0.194330i
\(103\) 1.46055 + 12.9628i 0.143913 + 1.27726i 0.833281 + 0.552849i \(0.186459\pi\)
−0.689369 + 0.724410i \(0.742112\pi\)
\(104\) −0.250379 + 1.09698i −0.0245517 + 0.107568i
\(105\) −9.78750 2.80297i −0.955162 0.273542i
\(106\) −1.20734 + 2.50708i −0.117268 + 0.243509i
\(107\) 2.34214 1.47166i 0.226423 0.142271i −0.414043 0.910257i \(-0.635884\pi\)
0.640467 + 0.767986i \(0.278741\pi\)
\(108\) −1.50467 + 0.945445i −0.144787 + 0.0909755i
\(109\) 6.12213 12.7127i 0.586394 1.21766i −0.370935 0.928659i \(-0.620963\pi\)
0.957329 0.289001i \(-0.0933231\pi\)
\(110\) −10.3032 + 5.71567i −0.982372 + 0.544968i
\(111\) 0.400094 1.75293i 0.0379753 0.166381i
\(112\) 0.223074 + 1.97984i 0.0210785 + 0.187077i
\(113\) −12.1460 + 1.36852i −1.14260 + 0.128740i −0.662910 0.748699i \(-0.730679\pi\)
−0.479689 + 0.877439i \(0.659250\pi\)
\(114\) −13.4492 + 6.47677i −1.25963 + 0.606605i
\(115\) 2.00195 + 6.90783i 0.186683 + 0.644158i
\(116\) −6.86139 + 5.47178i −0.637064 + 0.508042i
\(117\) −1.33041 + 2.11733i −0.122996 + 0.195747i
\(118\) −0.379705 1.08514i −0.0349547 0.0998948i
\(119\) −9.52845 + 11.9483i −0.873472 + 1.09530i
\(120\) −4.71791 + 1.96297i −0.430684 + 0.179194i
\(121\) 10.4528 + 13.1074i 0.950253 + 1.19158i
\(122\) 0.741613 + 0.741613i 0.0671424 + 0.0671424i
\(123\) −5.13971 5.13971i −0.463432 0.463432i
\(124\) 5.40606 4.31119i 0.485478 0.387156i
\(125\) −1.82045 + 11.0311i −0.162826 + 0.986655i
\(126\) −0.985279 + 4.31679i −0.0877756 + 0.384570i
\(127\) −6.66311 + 10.6043i −0.591255 + 0.940977i 0.408349 + 0.912826i \(0.366105\pi\)
−0.999604 + 0.0281511i \(0.991038\pi\)
\(128\) 0.707107 + 0.707107i 0.0625000 + 0.0625000i
\(129\) 14.8788 + 1.78407i 1.31001 + 0.157078i
\(130\) 1.67356 1.87869i 0.146781 0.164772i
\(131\) 2.27195 0.518559i 0.198502 0.0453067i −0.122114 0.992516i \(-0.538967\pi\)
0.320616 + 0.947209i \(0.396110\pi\)
\(132\) 6.40650 + 10.1959i 0.557614 + 0.887438i
\(133\) 4.29834 12.2839i 0.372713 1.06515i
\(134\) −3.80430 4.77044i −0.328641 0.412103i
\(135\) 3.96699 0.229077i 0.341424 0.0197158i
\(136\) 7.67051i 0.657741i
\(137\) 15.4474 + 1.74051i 1.31976 + 0.148701i 0.743595 0.668631i \(-0.233119\pi\)
0.576167 + 0.817332i \(0.304548\pi\)
\(138\) 6.93780 2.42764i 0.590585 0.206654i
\(139\) −2.12796 1.69699i −0.180491 0.143937i 0.529077 0.848574i \(-0.322538\pi\)
−0.709568 + 0.704637i \(0.751110\pi\)
\(140\) 1.69837 4.11863i 0.143538 0.348088i
\(141\) −21.8522 + 4.98761i −1.84028 + 0.420033i
\(142\) −0.234460 + 2.08089i −0.0196755 + 0.174625i
\(143\) −5.02016 3.15438i −0.419807 0.263782i
\(144\) 0.964257 + 2.00230i 0.0803548 + 0.166858i
\(145\) 19.3414 3.31772i 1.60621 0.275521i
\(146\) −8.89895 + 11.1589i −0.736483 + 0.923520i
\(147\) 3.68455 + 5.86393i 0.303896 + 0.483648i
\(148\) 0.742635 + 0.259859i 0.0610442 + 0.0213603i
\(149\) 7.63032 + 3.67457i 0.625100 + 0.301032i 0.719490 0.694503i \(-0.244376\pi\)
−0.0943895 + 0.995535i \(0.530090\pi\)
\(150\) 11.3584 + 1.24341i 0.927411 + 0.101524i
\(151\) −2.54700 0.581335i −0.207272 0.0473084i 0.117624 0.993058i \(-0.462472\pi\)
−0.324896 + 0.945750i \(0.605329\pi\)
\(152\) −2.15740 6.16551i −0.174989 0.500089i
\(153\) −5.63021 + 16.0902i −0.455176 + 1.30082i
\(154\) −10.2350 2.33608i −0.824764 0.188247i
\(155\) −15.2390 + 2.61401i −1.22402 + 0.209962i
\(156\) −2.01036 1.60321i −0.160958 0.128360i
\(157\) 6.26216 17.8962i 0.499775 1.42827i −0.367303 0.930101i \(-0.619719\pi\)
0.867078 0.498173i \(-0.165995\pi\)
\(158\) 6.31876 10.0563i 0.502694 0.800032i
\(159\) −3.96480 4.97170i −0.314429 0.394282i
\(160\) −0.622421 2.14769i −0.0492067 0.169790i
\(161\) −2.78042 + 5.77361i −0.219128 + 0.455024i
\(162\) −1.20117 10.6607i −0.0943730 0.837584i
\(163\) 6.32397 + 18.0729i 0.495332 + 1.41558i 0.872127 + 0.489280i \(0.162740\pi\)
−0.376795 + 0.926297i \(0.622974\pi\)
\(164\) 2.48675 1.98312i 0.194183 0.154856i
\(165\) −1.55226 26.8810i −0.120843 2.09268i
\(166\) 6.95914i 0.540134i
\(167\) 1.19830 10.6352i 0.0927270 0.822975i −0.858148 0.513402i \(-0.828385\pi\)
0.950876 0.309574i \(-0.100186\pi\)
\(168\) −4.29756 1.50378i −0.331564 0.116019i
\(169\) −11.4397 2.61105i −0.879980 0.200850i
\(170\) 8.27288 15.0247i 0.634501 1.15235i
\(171\) 14.5168i 1.11013i
\(172\) −1.50476 + 6.38245i −0.114737 + 0.486657i
\(173\) 0.325830 0.325830i 0.0247724 0.0247724i −0.694612 0.719385i \(-0.744424\pi\)
0.719385 + 0.694612i \(0.244424\pi\)
\(174\) −4.46277 19.5527i −0.338322 1.48228i
\(175\) −7.76878 + 6.23570i −0.587264 + 0.471375i
\(176\) −4.74743 + 2.28624i −0.357851 + 0.172332i
\(177\) 2.61072 + 0.294158i 0.196234 + 0.0221103i
\(178\) 7.59717 7.59717i 0.569432 0.569432i
\(179\) −14.5064 −1.08426 −0.542130 0.840295i \(-0.682382\pi\)
−0.542130 + 0.840295i \(0.682382\pi\)
\(180\) 0.270788 4.96202i 0.0201834 0.369847i
\(181\) 1.37676 + 0.663011i 0.102334 + 0.0492812i 0.484350 0.874874i \(-0.339056\pi\)
−0.382017 + 0.924155i \(0.624770\pi\)
\(182\) 2.22770 0.251001i 0.165128 0.0186055i
\(183\) −2.26227 + 0.791603i −0.167232 + 0.0585170i
\(184\) 0.715714 + 3.13575i 0.0527632 + 0.231171i
\(185\) −1.17438 1.30996i −0.0863424 0.0963101i
\(186\) 3.51619 + 15.4054i 0.257820 + 1.12958i
\(187\) −38.1497 13.3492i −2.78978 0.976187i
\(188\) −1.09816 9.74648i −0.0800919 0.710835i
\(189\) 2.76809 + 2.20748i 0.201349 + 0.160571i
\(190\) −2.42384 + 14.4036i −0.175844 + 1.04495i
\(191\) −3.61165 7.49967i −0.261330 0.542657i 0.728478 0.685070i \(-0.240228\pi\)
−0.989807 + 0.142413i \(0.954514\pi\)
\(192\) −2.15701 + 0.754772i −0.155669 + 0.0544709i
\(193\) 2.74541 + 4.36930i 0.197619 + 0.314509i 0.930803 0.365522i \(-0.119109\pi\)
−0.733184 + 0.680031i \(0.761966\pi\)
\(194\) 2.58695 11.3342i 0.185732 0.813747i
\(195\) 2.20872 + 5.30856i 0.158170 + 0.380154i
\(196\) −2.73037 + 1.31488i −0.195027 + 0.0939198i
\(197\) 0.939755 0.590487i 0.0669548 0.0420705i −0.498139 0.867097i \(-0.665983\pi\)
0.565093 + 0.825027i \(0.308840\pi\)
\(198\) −11.6367 + 1.31114i −0.826982 + 0.0931785i
\(199\) 5.87038 7.36122i 0.416140 0.521823i −0.528941 0.848659i \(-0.677411\pi\)
0.945081 + 0.326835i \(0.105982\pi\)
\(200\) −1.09718 + 4.87814i −0.0775822 + 0.344936i
\(201\) 13.5942 3.10278i 0.958858 0.218853i
\(202\) −4.36899 0.492267i −0.307401 0.0346358i
\(203\) 14.8051 + 9.30263i 1.03911 + 0.652917i
\(204\) −15.7931 7.60557i −1.10574 0.532497i
\(205\) −7.00983 + 1.20243i −0.489588 + 0.0839813i
\(206\) 5.65992 11.7530i 0.394345 0.818867i
\(207\) −0.800329 + 7.10312i −0.0556267 + 0.493701i
\(208\) 0.795632 0.795632i 0.0551672 0.0551672i
\(209\) 34.4191 2.38082
\(210\) 6.79604 + 7.58060i 0.468971 + 0.523111i
\(211\) −5.93786 12.3301i −0.408779 0.848839i −0.999130 0.0416926i \(-0.986725\pi\)
0.590351 0.807147i \(-0.298989\pi\)
\(212\) 2.35613 1.48046i 0.161820 0.101678i
\(213\) −4.05197 2.54602i −0.277636 0.174450i
\(214\) −2.76612 −0.189088
\(215\) 9.83114 10.8788i 0.670478 0.741929i
\(216\) 1.77705 0.120913
\(217\) −11.6648 7.32949i −0.791860 0.497558i
\(218\) −11.9473 + 7.50702i −0.809176 + 0.508439i
\(219\) −14.1520 29.3869i −0.956303 1.98578i
\(220\) 11.7649 + 0.642035i 0.793189 + 0.0432860i
\(221\) 8.63081 0.580571
\(222\) −1.27138 + 1.27138i −0.0853297 + 0.0853297i
\(223\) 3.33388 29.5890i 0.223253 1.98142i 0.0344662 0.999406i \(-0.489027\pi\)
0.188787 0.982018i \(-0.439545\pi\)
\(224\) 0.864455 1.79506i 0.0577588 0.119937i
\(225\) −5.88211 + 9.42740i −0.392141 + 0.628493i
\(226\) 11.0124 + 5.30329i 0.732534 + 0.352770i
\(227\) −16.0082 10.0586i −1.06250 0.667616i −0.116969 0.993136i \(-0.537318\pi\)
−0.945535 + 0.325520i \(0.894461\pi\)
\(228\) 14.8336 + 1.67134i 0.982377 + 0.110687i
\(229\) −19.0338 + 4.34435i −1.25779 + 0.287082i −0.798929 0.601425i \(-0.794600\pi\)
−0.458862 + 0.888508i \(0.651743\pi\)
\(230\) 1.98009 6.91412i 0.130563 0.455904i
\(231\) 14.9583 18.7571i 0.984182 1.23412i
\(232\) 8.72087 0.982606i 0.572553 0.0645112i
\(233\) −0.527373 + 0.331370i −0.0345493 + 0.0217088i −0.549196 0.835694i \(-0.685066\pi\)
0.514647 + 0.857402i \(0.327923\pi\)
\(234\) 2.25298 1.08498i 0.147282 0.0709271i
\(235\) −8.36084 + 20.2755i −0.545401 + 1.32263i
\(236\) −0.255821 + 1.12083i −0.0166525 + 0.0729595i
\(237\) 14.4400 + 22.9811i 0.937977 + 1.49278i
\(238\) 14.4248 5.04747i 0.935024 0.327179i
\(239\) −3.89990 8.09822i −0.252263 0.523831i 0.735927 0.677061i \(-0.236747\pi\)
−0.988190 + 0.153230i \(0.951032\pi\)
\(240\) 5.03913 + 0.847984i 0.325275 + 0.0547371i
\(241\) −8.70365 6.94093i −0.560652 0.447105i 0.301708 0.953400i \(-0.402443\pi\)
−0.862360 + 0.506296i \(0.831015\pi\)
\(242\) −1.87708 16.6596i −0.120663 1.07092i
\(243\) 18.1088 + 6.33655i 1.16168 + 0.406490i
\(244\) −0.233380 1.02250i −0.0149406 0.0654590i
\(245\) 6.76630 + 0.369251i 0.432283 + 0.0235906i
\(246\) 1.61743 + 7.08641i 0.103123 + 0.451813i
\(247\) −6.93739 + 2.42750i −0.441416 + 0.154458i
\(248\) −6.87113 + 0.774190i −0.436317 + 0.0491611i
\(249\) 14.3285 + 6.90023i 0.908030 + 0.437284i
\(250\) 7.41034 8.37179i 0.468671 0.529479i
\(251\) −11.8977 −0.750975 −0.375487 0.926828i \(-0.622525\pi\)
−0.375487 + 0.926828i \(0.622525\pi\)
\(252\) 3.13093 3.13093i 0.197230 0.197230i
\(253\) −16.8414 1.89757i −1.05881 0.119299i
\(254\) 11.2836 5.43391i 0.707998 0.340954i
\(255\) 22.7322 + 31.9309i 1.42355 + 1.99959i
\(256\) −0.222521 0.974928i −0.0139076 0.0609330i
\(257\) −12.0585 + 12.0585i −0.752187 + 0.752187i −0.974887 0.222700i \(-0.928513\pi\)
0.222700 + 0.974887i \(0.428513\pi\)
\(258\) −11.6491 9.42663i −0.725241 0.586876i
\(259\) 1.56757i 0.0974038i
\(260\) −2.41657 + 0.700344i −0.149869 + 0.0434335i
\(261\) 19.0148 + 4.34000i 1.17698 + 0.268639i
\(262\) −2.19961 0.769676i −0.135892 0.0475508i
\(263\) 0.679187 6.02796i 0.0418805 0.371700i −0.955238 0.295839i \(-0.904401\pi\)
0.997118 0.0758610i \(-0.0241705\pi\)
\(264\) 12.0416i 0.741107i
\(265\) −6.21183 + 0.358707i −0.381590 + 0.0220352i
\(266\) −10.1750 + 8.11426i −0.623867 + 0.497517i
\(267\) 8.10928 + 23.1750i 0.496280 + 1.41829i
\(268\) 0.683165 + 6.06326i 0.0417309 + 0.370372i
\(269\) 0.709508 1.47331i 0.0432594 0.0898291i −0.878219 0.478259i \(-0.841268\pi\)
0.921478 + 0.388430i \(0.126982\pi\)
\(270\) −3.48082 1.91660i −0.211836 0.116641i
\(271\) 0.835083 + 1.04716i 0.0507277 + 0.0636105i 0.806548 0.591168i \(-0.201333\pi\)
−0.755820 + 0.654779i \(0.772762\pi\)
\(272\) 4.08096 6.49480i 0.247444 0.393805i
\(273\) −1.69204 + 4.83558i −0.102407 + 0.292663i
\(274\) −12.1537 9.69225i −0.734232 0.585530i
\(275\) −22.3522 13.9464i −1.34789 0.841000i
\(276\) −7.16598 1.63559i −0.431342 0.0984509i
\(277\) 6.72511 19.2193i 0.404073 1.15477i −0.544650 0.838663i \(-0.683338\pi\)
0.948723 0.316110i \(-0.102377\pi\)
\(278\) 0.898941 + 2.56903i 0.0539149 + 0.154080i
\(279\) −14.9816 3.41946i −0.896927 0.204718i
\(280\) −3.62929 + 2.58376i −0.216892 + 0.154409i
\(281\) −14.8234 7.13857i −0.884289 0.425851i −0.0640998 0.997943i \(-0.520418\pi\)
−0.820189 + 0.572092i \(0.806132\pi\)
\(282\) 21.1563 + 7.40292i 1.25984 + 0.440837i
\(283\) 2.45721 + 3.91062i 0.146066 + 0.232462i 0.911742 0.410764i \(-0.134738\pi\)
−0.765676 + 0.643227i \(0.777595\pi\)
\(284\) 1.30563 1.63720i 0.0774746 0.0971501i
\(285\) −27.2529 19.2722i −1.61432 1.14159i
\(286\) 2.57246 + 5.34178i 0.152113 + 0.315866i
\(287\) −5.36575 3.37152i −0.316730 0.199015i
\(288\) 0.248828 2.20841i 0.0146623 0.130132i
\(289\) 40.7877 9.30954i 2.39928 0.547620i
\(290\) −18.1419 7.48103i −1.06533 0.439301i
\(291\) 20.7714 + 16.5646i 1.21764 + 0.971036i
\(292\) 13.4719 4.71401i 0.788382 0.275867i
\(293\) 4.40882 + 0.496754i 0.257566 + 0.0290207i 0.239803 0.970822i \(-0.422917\pi\)
0.0177626 + 0.999842i \(0.494346\pi\)
\(294\) 6.92543i 0.403899i
\(295\) 1.70994 1.91953i 0.0995566 0.111759i
\(296\) −0.490554 0.615135i −0.0285128 0.0357540i
\(297\) −3.09263 + 8.83823i −0.179453 + 0.512846i
\(298\) −4.50579 7.17092i −0.261013 0.415400i
\(299\) 3.52832 0.805317i 0.204048 0.0465727i
\(300\) −8.95591 7.09587i −0.517070 0.409680i
\(301\) 12.9928 1.37010i 0.748891 0.0789713i
\(302\) 1.84731 + 1.84731i 0.106301 + 0.106301i
\(303\) 5.34555 8.50740i 0.307094 0.488737i
\(304\) −1.45352 + 6.36829i −0.0833652 + 0.365247i
\(305\) −0.645665 + 2.25455i −0.0369707 + 0.129095i
\(306\) 13.3277 10.6285i 0.761897 0.607592i
\(307\) −11.5613 11.5613i −0.659840 0.659840i 0.295502 0.955342i \(-0.404513\pi\)
−0.955342 + 0.295502i \(0.904513\pi\)
\(308\) 7.42339 + 7.42339i 0.422987 + 0.422987i
\(309\) 18.5866 + 23.3069i 1.05736 + 1.32588i
\(310\) 14.2939 + 5.89427i 0.811841 + 0.334772i
\(311\) −14.7750 + 18.5273i −0.837813 + 1.05058i 0.160169 + 0.987090i \(0.448796\pi\)
−0.997982 + 0.0634949i \(0.979775\pi\)
\(312\) 0.849264 + 2.42706i 0.0480801 + 0.137405i
\(313\) −10.9411 + 17.4127i −0.618428 + 0.984222i 0.379821 + 0.925060i \(0.375986\pi\)
−0.998248 + 0.0591619i \(0.981157\pi\)
\(314\) −14.8237 + 11.8215i −0.836549 + 0.667125i
\(315\) −9.50957 + 2.75596i −0.535803 + 0.155281i
\(316\) −10.7005 + 5.15309i −0.601950 + 0.289884i
\(317\) −2.62232 + 0.295465i −0.147284 + 0.0165950i −0.185299 0.982682i \(-0.559325\pi\)
0.0380144 + 0.999277i \(0.487897\pi\)
\(318\) 0.711988 + 6.31906i 0.0399263 + 0.354356i
\(319\) −10.2901 + 45.0838i −0.576134 + 2.52421i
\(320\) −0.615623 + 2.14965i −0.0344144 + 0.120169i
\(321\) 2.74270 5.69528i 0.153083 0.317880i
\(322\) 5.42600 3.40938i 0.302379 0.189997i
\(323\) −42.4245 + 26.6571i −2.36056 + 1.48324i
\(324\) −4.65477 + 9.66574i −0.258599 + 0.536985i
\(325\) 5.48885 + 1.23454i 0.304466 + 0.0684798i
\(326\) 4.26069 18.6673i 0.235978 1.03389i
\(327\) −3.61031 32.0424i −0.199650 1.77195i
\(328\) −3.16068 + 0.356123i −0.174519 + 0.0196636i
\(329\) −17.6062 + 8.47870i −0.970662 + 0.467446i
\(330\) −12.9872 + 23.5866i −0.714922 + 1.29840i
\(331\) 5.88517 4.69326i 0.323478 0.257965i −0.448264 0.893901i \(-0.647957\pi\)
0.771741 + 0.635936i \(0.219386\pi\)
\(332\) −3.70249 + 5.89247i −0.203200 + 0.323391i
\(333\) −0.577507 1.65042i −0.0316472 0.0904425i
\(334\) −6.67289 + 8.36753i −0.365124 + 0.457851i
\(335\) 5.20125 12.6133i 0.284175 0.689140i
\(336\) 2.83879 + 3.55972i 0.154868 + 0.194199i
\(337\) 4.35574 + 4.35574i 0.237272 + 0.237272i 0.815720 0.578447i \(-0.196341\pi\)
−0.578447 + 0.815720i \(0.696341\pi\)
\(338\) 8.29715 + 8.29715i 0.451305 + 0.451305i
\(339\) −21.8384 + 17.4155i −1.18610 + 0.945881i
\(340\) −14.9985 + 8.32037i −0.813408 + 0.451236i
\(341\) 8.10750 35.5213i 0.439046 1.92358i
\(342\) −7.72339 + 12.2917i −0.417633 + 0.664659i
\(343\) 14.1311 + 14.1311i 0.763007 + 0.763007i
\(344\) 4.66978 4.60360i 0.251778 0.248209i
\(345\) 12.2725 + 10.9325i 0.660727 + 0.588585i
\(346\) −0.449241 + 0.102536i −0.0241513 + 0.00551238i
\(347\) 11.8945 + 18.9300i 0.638530 + 1.01621i 0.996590 + 0.0825156i \(0.0262954\pi\)
−0.358060 + 0.933699i \(0.616562\pi\)
\(348\) −6.62391 + 18.9301i −0.355079 + 1.01476i
\(349\) 12.9103 + 16.1890i 0.691074 + 0.866579i 0.996321 0.0856941i \(-0.0273108\pi\)
−0.305248 + 0.952273i \(0.598739\pi\)
\(350\) 9.89561 1.14668i 0.528942 0.0612927i
\(351\) 1.99952i 0.106726i
\(352\) 5.23612 + 0.589969i 0.279086 + 0.0314454i
\(353\) 4.92640 1.72382i 0.262206 0.0917498i −0.195975 0.980609i \(-0.562787\pi\)
0.458181 + 0.888859i \(0.348501\pi\)
\(354\) −2.05406 1.63806i −0.109172 0.0870618i
\(355\) −4.32319 + 1.79874i −0.229451 + 0.0954673i
\(356\) −10.4746 + 2.39077i −0.555155 + 0.126711i
\(357\) −3.91028 + 34.7047i −0.206954 + 1.83677i
\(358\) 12.2829 + 7.71788i 0.649173 + 0.407902i
\(359\) −3.31568 6.88508i −0.174995 0.363380i 0.794961 0.606660i \(-0.207491\pi\)
−0.969956 + 0.243280i \(0.921777\pi\)
\(360\) −2.86924 + 4.05740i −0.151222 + 0.213844i
\(361\) 14.7567 18.5043i 0.776668 0.973911i
\(362\) −0.812990 1.29387i −0.0427298 0.0680041i
\(363\) 36.1623 + 12.6537i 1.89803 + 0.664148i
\(364\) −2.01979 0.972679i −0.105866 0.0509822i
\(365\) −31.4725 5.29618i −1.64734 0.277215i
\(366\) 2.33668 + 0.533332i 0.122140 + 0.0278777i
\(367\) −8.47281 24.2139i −0.442277 1.26395i −0.922224 0.386657i \(-0.873630\pi\)
0.479947 0.877298i \(-0.340656\pi\)
\(368\) 1.06231 3.03590i 0.0553766 0.158257i
\(369\) −6.89146 1.57293i −0.358755 0.0818836i
\(370\) 0.297438 + 1.73398i 0.0154631 + 0.0901455i
\(371\) −4.33451 3.45665i −0.225036 0.179461i
\(372\) 5.21895 14.9149i 0.270590 0.773301i
\(373\) 6.83240 10.8737i 0.353768 0.563019i −0.621674 0.783276i \(-0.713547\pi\)
0.975442 + 0.220258i \(0.0706898\pi\)
\(374\) 25.2001 + 31.5999i 1.30307 + 1.63399i
\(375\) 9.88944 + 23.5584i 0.510688 + 1.21655i
\(376\) −4.25560 + 8.83684i −0.219466 + 0.455725i
\(377\) −1.10562 9.81267i −0.0569424 0.505378i
\(378\) −1.16936 3.34184i −0.0601454 0.171886i
\(379\) 1.58898 1.26717i 0.0816206 0.0650902i −0.581830 0.813311i \(-0.697663\pi\)
0.663450 + 0.748221i \(0.269091\pi\)
\(380\) 9.71551 10.9063i 0.498395 0.559483i
\(381\) 28.6203i 1.46626i
\(382\) −0.931993 + 8.27166i −0.0476849 + 0.423215i
\(383\) −22.7502 7.96063i −1.16248 0.406769i −0.321011 0.947076i \(-0.604023\pi\)
−0.841468 + 0.540306i \(0.818308\pi\)
\(384\) 2.22796 + 0.508517i 0.113695 + 0.0259501i
\(385\) −6.53434 22.5471i −0.333021 1.14910i
\(386\) 5.16024i 0.262649i
\(387\) 13.1748 6.22919i 0.669710 0.316647i
\(388\) −8.22059 + 8.22059i −0.417337 + 0.417337i
\(389\) −0.0793661 0.347726i −0.00402402 0.0176304i 0.972876 0.231327i \(-0.0743067\pi\)
−0.976900 + 0.213697i \(0.931450\pi\)
\(390\) 0.954146 5.67000i 0.0483151 0.287112i
\(391\) 22.2281 10.7045i 1.12412 0.541350i
\(392\) 3.01143 + 0.339307i 0.152100 + 0.0171376i
\(393\) 3.76571 3.76571i 0.189955 0.189955i
\(394\) −1.10987 −0.0559145
\(395\) 26.5175 + 1.44712i 1.33424 + 0.0728125i
\(396\) 10.5506 + 5.08091i 0.530188 + 0.255325i
\(397\) −38.3593 + 4.32206i −1.92520 + 0.216918i −0.990397 0.138251i \(-0.955852\pi\)
−0.934802 + 0.355169i \(0.884423\pi\)
\(398\) −8.88700 + 3.10970i −0.445465 + 0.155875i
\(399\) −6.61797 28.9952i −0.331313 1.45158i
\(400\) 3.52433 3.54670i 0.176217 0.177335i
\(401\) 0.0462392 + 0.202587i 0.00230908 + 0.0101167i 0.976069 0.217460i \(-0.0697770\pi\)
−0.973760 + 0.227576i \(0.926920\pi\)
\(402\) −13.1613 4.60533i −0.656425 0.229693i
\(403\) 0.871114 + 7.73135i 0.0433933 + 0.385126i
\(404\) 3.43743 + 2.74126i 0.171018 + 0.136383i
\(405\) 19.5424 13.9126i 0.971071 0.691323i
\(406\) −7.58650 15.7535i −0.376512 0.781834i
\(407\) 3.91313 1.36926i 0.193967 0.0678718i
\(408\) 9.32602 + 14.8423i 0.461707 + 0.734802i
\(409\) 7.93684 34.7735i 0.392451 1.71944i −0.263519 0.964654i \(-0.584883\pi\)
0.655970 0.754787i \(-0.272260\pi\)
\(410\) 6.57512 + 2.71133i 0.324722 + 0.133903i
\(411\) 32.0066 15.4136i 1.57877 0.760295i
\(412\) −11.0453 + 6.94025i −0.544165 + 0.341921i
\(413\) 2.27612 0.256457i 0.112001 0.0126194i
\(414\) 4.45674 5.58858i 0.219037 0.274664i
\(415\) 13.6075 7.54874i 0.667967 0.370553i
\(416\) −1.09698 + 0.250379i −0.0537840 + 0.0122758i
\(417\) −6.18081 0.696410i −0.302676 0.0341033i
\(418\) −29.1435 18.3121i −1.42545 0.895672i
\(419\) −19.8938 9.58036i −0.971877 0.468031i −0.120573 0.992704i \(-0.538473\pi\)
−0.851304 + 0.524673i \(0.824187\pi\)
\(420\) −1.72125 10.0344i −0.0839883 0.489628i
\(421\) −10.7661 + 22.3561i −0.524710 + 1.08957i 0.455248 + 0.890365i \(0.349551\pi\)
−0.979958 + 0.199206i \(0.936164\pi\)
\(422\) −1.53228 + 13.5993i −0.0745901 + 0.662005i
\(423\) −15.4132 + 15.4132i −0.749414 + 0.749414i
\(424\) −2.78264 −0.135137
\(425\) 38.3523 0.121334i 1.86036 0.00588555i
\(426\) 2.07633 + 4.31155i 0.100599 + 0.208895i
\(427\) −1.76931 + 1.11173i −0.0856227 + 0.0538003i
\(428\) 2.34214 + 1.47166i 0.113212 + 0.0711356i
\(429\) −13.5491 −0.654157
\(430\) −14.1121 + 3.98087i −0.680548 + 0.191975i
\(431\) 13.0581 0.628985 0.314492 0.949260i \(-0.398166\pi\)
0.314492 + 0.949260i \(0.398166\pi\)
\(432\) −1.50467 0.945445i −0.0723933 0.0454878i
\(433\) −9.34138 + 5.86958i −0.448918 + 0.282074i −0.737457 0.675394i \(-0.763973\pi\)
0.288539 + 0.957468i \(0.406831\pi\)
\(434\) 5.97736 + 12.4121i 0.286923 + 0.595801i
\(435\) 33.3914 29.9355i 1.60099 1.43530i
\(436\) 14.1101 0.675750
\(437\) −14.8561 + 14.8561i −0.710663 + 0.710663i
\(438\) −3.65195 + 32.4119i −0.174497 + 1.54870i
\(439\) 10.1019 20.9769i 0.482139 1.00117i −0.508036 0.861336i \(-0.669628\pi\)
0.990175 0.139836i \(-0.0446576\pi\)
\(440\) −9.62003 6.80293i −0.458617 0.324317i
\(441\) 6.06794 + 2.92217i 0.288950 + 0.139151i
\(442\) −7.30791 4.59187i −0.347602 0.218413i
\(443\) 1.69261 + 0.190712i 0.0804186 + 0.00906100i 0.152082 0.988368i \(-0.451402\pi\)
−0.0716635 + 0.997429i \(0.522831\pi\)
\(444\) 1.75293 0.400094i 0.0831903 0.0189876i
\(445\) 23.0959 + 6.61427i 1.09485 + 0.313547i
\(446\) −18.5652 + 23.2800i −0.879086 + 1.10234i
\(447\) 19.2322 2.16694i 0.909650 0.102493i
\(448\) −1.68698 + 1.06000i −0.0797025 + 0.0500804i
\(449\) 8.04256 3.87309i 0.379552 0.182783i −0.234373 0.972147i \(-0.575304\pi\)
0.613925 + 0.789364i \(0.289590\pi\)
\(450\) 9.99620 4.85293i 0.471225 0.228770i
\(451\) 3.72940 16.3396i 0.175611 0.769400i
\(452\) −6.50295 10.3494i −0.305873 0.486794i
\(453\) −5.63519 + 1.97184i −0.264764 + 0.0926450i
\(454\) 8.20304 + 17.0338i 0.384988 + 0.799435i
\(455\) 2.90723 + 4.08366i 0.136293 + 0.191445i
\(456\) −11.6707 9.30710i −0.546532 0.435845i
\(457\) 2.31945 + 20.5857i 0.108499 + 0.962956i 0.923527 + 0.383534i \(0.125293\pi\)
−0.815028 + 0.579422i \(0.803278\pi\)
\(458\) 18.4277 + 6.44814i 0.861071 + 0.301302i
\(459\) −3.03315 13.2891i −0.141575 0.620281i
\(460\) −5.35512 + 4.80089i −0.249684 + 0.223843i
\(461\) 2.85501 + 12.5086i 0.132971 + 0.582584i 0.996880 + 0.0789353i \(0.0251521\pi\)
−0.863909 + 0.503648i \(0.831991\pi\)
\(462\) −22.6449 + 7.92379i −1.05354 + 0.368648i
\(463\) −1.15111 + 0.129698i −0.0534964 + 0.00602760i −0.138672 0.990338i \(-0.544283\pi\)
0.0851757 + 0.996366i \(0.472855\pi\)
\(464\) −7.90695 3.80779i −0.367071 0.176772i
\(465\) −26.3089 + 23.5860i −1.22005 + 1.09378i
\(466\) 0.622839 0.0288524
\(467\) 15.1272 15.1272i 0.700002 0.700002i −0.264408 0.964411i \(-0.585177\pi\)
0.964411 + 0.264408i \(0.0851767\pi\)
\(468\) −2.48489 0.279980i −0.114864 0.0129421i
\(469\) 10.9528 5.27458i 0.505752 0.243557i
\(470\) 17.8665 12.7195i 0.824122 0.586708i
\(471\) −9.64158 42.2425i −0.444261 1.94643i
\(472\) 0.812925 0.812925i 0.0374179 0.0374179i
\(473\) 14.7693 + 31.2372i 0.679094 + 1.43629i
\(474\) 27.1412i 1.24664i
\(475\) −30.7933 + 10.8845i −1.41289 + 0.499415i
\(476\) −14.8993 3.40066i −0.682908 0.155869i
\(477\) −5.83708 2.04248i −0.267261 0.0935188i
\(478\) −1.00638 + 8.93183i −0.0460306 + 0.408533i
\(479\) 11.6421i 0.531941i −0.963981 0.265970i \(-0.914308\pi\)
0.963981 0.265970i \(-0.0856924\pi\)
\(480\) −3.81560 3.39899i −0.174158 0.155142i
\(481\) −0.692146 + 0.551968i −0.0315591 + 0.0251676i
\(482\) 3.67680 + 10.5077i 0.167473 + 0.478612i
\(483\) 1.63965 + 14.5523i 0.0746069 + 0.662154i
\(484\) −7.27405 + 15.1047i −0.330639 + 0.686578i
\(485\) 24.9684 7.23606i 1.13376 0.328573i
\(486\) −11.9619 14.9998i −0.542604 0.680404i
\(487\) −4.99714 + 7.95290i −0.226442 + 0.360380i −0.940550 0.339655i \(-0.889690\pi\)
0.714108 + 0.700035i \(0.246832\pi\)
\(488\) −0.346396 + 0.989943i −0.0156806 + 0.0448126i
\(489\) 34.2103 + 27.2818i 1.54704 + 1.23372i
\(490\) −5.53274 3.91254i −0.249944 0.176751i
\(491\) 29.4402 + 6.71953i 1.32862 + 0.303248i 0.827176 0.561944i \(-0.189946\pi\)
0.501441 + 0.865192i \(0.332803\pi\)
\(492\) 2.40068 6.86076i 0.108231 0.309307i
\(493\) −22.2333 63.5392i −1.00134 2.86166i
\(494\) 7.16556 + 1.63549i 0.322394 + 0.0735843i
\(495\) −15.1863 21.3315i −0.682573 0.958779i
\(496\) 6.22984 + 3.00013i 0.279728 + 0.134710i
\(497\) −3.93801 1.37797i −0.176644 0.0618103i
\(498\) −8.46112 13.4658i −0.379152 0.603417i
\(499\) −25.5348 + 32.0196i −1.14309 + 1.43339i −0.259127 + 0.965843i \(0.583435\pi\)
−0.883967 + 0.467550i \(0.845137\pi\)
\(500\) −10.7286 + 3.14606i −0.479796 + 0.140696i
\(501\) −10.6119 22.0358i −0.474104 0.984486i
\(502\) 10.0741 + 6.32995i 0.449627 + 0.282519i
\(503\) −1.71059 + 15.1819i −0.0762713 + 0.676927i 0.896159 + 0.443733i \(0.146346\pi\)
−0.972430 + 0.233194i \(0.925082\pi\)
\(504\) −4.31679 + 0.985279i −0.192285 + 0.0438878i
\(505\) −3.77659 9.07686i −0.168056 0.403915i
\(506\) 13.2504 + 10.5669i 0.589054 + 0.469755i
\(507\) −25.3103 + 8.85644i −1.12407 + 0.393328i
\(508\) −12.4451 1.40223i −0.552164 0.0622139i
\(509\) 20.1530i 0.893266i −0.894717 0.446633i \(-0.852623\pi\)
0.894717 0.446633i \(-0.147377\pi\)
\(510\) −2.25965 39.1310i −0.100059 1.73275i
\(511\) −17.7300 22.2327i −0.784327 0.983515i
\(512\) −0.330279 + 0.943883i −0.0145964 + 0.0417141i
\(513\) 6.17571 + 9.82859i 0.272664 + 0.433943i
\(514\) 16.6257 3.79471i 0.733328 0.167377i
\(515\) 29.1205 1.68159i 1.28320 0.0740996i
\(516\) 4.84829 + 14.1794i 0.213434 + 0.624215i
\(517\) −36.5444 36.5444i −1.60722 1.60722i
\(518\) −0.833995 + 1.32730i −0.0366437 + 0.0583180i
\(519\) 0.234321 1.02663i 0.0102856 0.0450640i
\(520\) 2.41878 + 0.692696i 0.106070 + 0.0303767i
\(521\) −7.36347 + 5.87217i −0.322600 + 0.257265i −0.771376 0.636379i \(-0.780431\pi\)
0.448777 + 0.893644i \(0.351860\pi\)
\(522\) −13.7913 13.7913i −0.603627 0.603627i
\(523\) 8.16460 + 8.16460i 0.357013 + 0.357013i 0.862711 0.505698i \(-0.168765\pi\)
−0.505698 + 0.862711i \(0.668765\pi\)
\(524\) 1.45297 + 1.82197i 0.0634733 + 0.0795930i
\(525\) −7.45088 + 21.5115i −0.325183 + 0.938837i
\(526\) −3.78215 + 4.74267i −0.164910 + 0.206790i
\(527\) 17.5175 + 50.0622i 0.763075 + 2.18074i
\(528\) −6.40650 + 10.1959i −0.278807 + 0.443719i
\(529\) −9.89394 + 7.89016i −0.430171 + 0.343050i
\(530\) 5.45055 + 3.00117i 0.236757 + 0.130362i
\(531\) 2.30194 1.10856i 0.0998959 0.0481073i
\(532\) 12.9324 1.45713i 0.560692 0.0631748i
\(533\) 0.400707 + 3.55637i 0.0173565 + 0.154044i
\(534\) 5.46352 23.9372i 0.236429 1.03587i
\(535\) −3.00047 5.40872i −0.129722 0.233839i
\(536\) 2.64740 5.49737i 0.114350 0.237450i
\(537\) −28.0696 + 17.6373i −1.21129 + 0.761106i
\(538\) −1.38460 + 0.870004i −0.0596945 + 0.0375086i
\(539\) −6.92842 + 14.3870i −0.298428 + 0.619692i
\(540\) 1.92760 + 3.47474i 0.0829508 + 0.149529i
\(541\) 1.07398 4.70542i 0.0461741 0.202302i −0.946579 0.322471i \(-0.895487\pi\)
0.992753 + 0.120169i \(0.0383437\pi\)
\(542\) −0.149962 1.33095i −0.00644141 0.0571691i
\(543\) 3.47011 0.390987i 0.148916 0.0167789i
\(544\) −6.91089 + 3.32811i −0.296302 + 0.142691i
\(545\) −27.6384 15.2182i −1.18390 0.651875i
\(546\) 4.00538 3.19418i 0.171414 0.136698i
\(547\) 6.58247 10.4759i 0.281446 0.447919i −0.675845 0.737043i \(-0.736221\pi\)
0.957292 + 0.289124i \(0.0933641\pi\)
\(548\) 5.13424 + 14.6728i 0.219324 + 0.626792i
\(549\) −1.45325 + 1.82232i −0.0620233 + 0.0777747i
\(550\) 11.5062 + 23.7009i 0.490628 + 1.01061i
\(551\) 35.7420 + 44.8191i 1.52266 + 1.90936i
\(552\) 5.19743 + 5.19743i 0.221217 + 0.221217i
\(553\) 16.7320 + 16.7320i 0.711517 + 0.711517i
\(554\) −15.9196 + 12.6954i −0.676358 + 0.539377i
\(555\) −3.86509 1.10690i −0.164064 0.0469851i
\(556\) 0.605649 2.65352i 0.0256852 0.112534i
\(557\) 8.36729 13.3165i 0.354533 0.564237i −0.621076 0.783750i \(-0.713304\pi\)
0.975609 + 0.219514i \(0.0704471\pi\)
\(558\) 10.8661 + 10.8661i 0.459997 + 0.459997i
\(559\) −5.17994 5.25441i −0.219088 0.222238i
\(560\) 4.44765 0.256833i 0.187948 0.0108532i
\(561\) −90.0492 + 20.5531i −3.80188 + 0.867754i
\(562\) 8.75337 + 13.9309i 0.369239 + 0.587640i
\(563\) −4.65634 + 13.3070i −0.196241 + 0.560825i −0.999389 0.0349548i \(-0.988871\pi\)
0.803148 + 0.595780i \(0.203157\pi\)
\(564\) −13.9750 17.5241i −0.588453 0.737896i
\(565\) 1.57563 + 27.2857i 0.0662873 + 1.14792i
\(566\) 4.61853i 0.194131i
\(567\) 21.2400 + 2.39317i 0.891996 + 0.100504i
\(568\) −1.97655 + 0.691624i −0.0829342 + 0.0290199i
\(569\) −21.9709 17.5212i −0.921070 0.734528i 0.0433070 0.999062i \(-0.486211\pi\)
−0.964377 + 0.264533i \(0.914782\pi\)
\(570\) 12.8223 + 30.8177i 0.537065 + 1.29081i
\(571\) −25.3339 + 5.78229i −1.06019 + 0.241981i −0.716848 0.697230i \(-0.754416\pi\)
−0.343341 + 0.939211i \(0.611559\pi\)
\(572\) 0.663829 5.89164i 0.0277561 0.246342i
\(573\) −16.1068 10.1206i −0.672870 0.422792i
\(574\) 2.74955 + 5.70950i 0.114764 + 0.238310i
\(575\) 15.6673 3.62816i 0.653374 0.151305i
\(576\) −1.38563 + 1.73753i −0.0577348 + 0.0723971i
\(577\) −16.7447 26.6490i −0.697089 1.10941i −0.988266 0.152742i \(-0.951190\pi\)
0.291177 0.956669i \(-0.405953\pi\)
\(578\) −39.4889 13.8178i −1.64252 0.574744i
\(579\) 10.6246 + 5.11656i 0.441545 + 0.212637i
\(580\) 11.3811 + 15.9865i 0.472573 + 0.663802i
\(581\) 13.5175 + 3.08529i 0.560801 + 0.127999i
\(582\) −8.77472 25.0767i −0.363724 1.03946i
\(583\) 4.84270 13.8396i 0.200564 0.573179i
\(584\) −13.9150 3.17600i −0.575805 0.131424i
\(585\) 4.56536 + 3.22845i 0.188754 + 0.133480i
\(586\) −3.46876 2.76625i −0.143293 0.114273i
\(587\) 2.19995 6.28709i 0.0908016 0.259496i −0.889522 0.456892i \(-0.848963\pi\)
0.980324 + 0.197396i \(0.0632484\pi\)
\(588\) −3.68455 + 5.86393i −0.151948 + 0.241824i
\(589\) −28.1609 35.3127i −1.16035 1.45504i
\(590\) −2.46910 + 0.715566i −0.101651 + 0.0294594i
\(591\) 1.10048 2.28516i 0.0452675 0.0939990i
\(592\) 0.0880922 + 0.781840i 0.00362057 + 0.0321334i
\(593\) −6.13969 17.5462i −0.252127 0.720537i −0.998487 0.0549946i \(-0.982486\pi\)
0.746360 0.665543i \(-0.231800\pi\)
\(594\) 7.32083 5.83817i 0.300377 0.239543i
\(595\) 25.5165 + 22.7305i 1.04607 + 0.931858i
\(596\) 8.46902i 0.346905i
\(597\) 2.40908 21.3812i 0.0985972 0.875074i
\(598\) −3.41597 1.19530i −0.139690 0.0488795i
\(599\) −10.7426 2.45192i −0.438929 0.100183i −0.00265501 0.999996i \(-0.500845\pi\)
−0.436274 + 0.899814i \(0.643702\pi\)
\(600\) 3.80796 + 10.7731i 0.155459 + 0.439809i
\(601\) 18.5433i 0.756395i 0.925725 + 0.378198i \(0.123456\pi\)
−0.925725 + 0.378198i \(0.876544\pi\)
\(602\) −11.7302 5.75247i −0.478088 0.234453i
\(603\) 9.58848 9.58848i 0.390473 0.390473i
\(604\) −0.581335 2.54700i −0.0236542 0.103636i
\(605\) 30.5391 21.7413i 1.24159 0.883911i
\(606\) −9.05242 + 4.35941i −0.367729 + 0.177089i
\(607\) 9.46936 + 1.06694i 0.384350 + 0.0433058i 0.302026 0.953300i \(-0.402337\pi\)
0.0823240 + 0.996606i \(0.473766\pi\)
\(608\) 4.61887 4.61887i 0.187320 0.187320i
\(609\) 39.9579 1.61918
\(610\) 1.74619 1.56547i 0.0707014 0.0633840i
\(611\) 9.94316 + 4.78837i 0.402257 + 0.193717i
\(612\) −16.9396 + 1.90864i −0.684744 + 0.0771522i
\(613\) 14.4509 5.05657i 0.583664 0.204233i −0.0222641 0.999752i \(-0.507087\pi\)
0.605928 + 0.795519i \(0.292802\pi\)
\(614\) 3.63826 + 15.9403i 0.146828 + 0.643296i
\(615\) −12.1019 + 10.8494i −0.487997 + 0.437491i
\(616\) −2.33608 10.2350i −0.0941235 0.412382i
\(617\) −7.31491 2.55960i −0.294487 0.103046i 0.178992 0.983851i \(-0.442716\pi\)
−0.473479 + 0.880805i \(0.657002\pi\)
\(618\) −3.33774 29.6232i −0.134263 1.19162i
\(619\) 14.9748 + 11.9420i 0.601888 + 0.479990i 0.876393 0.481596i \(-0.159943\pi\)
−0.274506 + 0.961586i \(0.588514\pi\)
\(620\) −8.96708 12.5956i −0.360126 0.505853i
\(621\) −2.47994 5.14964i −0.0995165 0.206648i
\(622\) 22.3674 7.82671i 0.896853 0.313822i
\(623\) 11.3887 + 18.1250i 0.456278 + 0.726162i
\(624\) 0.572180 2.50688i 0.0229055 0.100356i
\(625\) 24.4079 + 5.40870i 0.976316 + 0.216348i
\(626\) 18.5282 8.92271i 0.740536 0.356623i
\(627\) 66.6002 41.8477i 2.65976 1.67124i
\(628\) 18.8410 2.12287i 0.751837 0.0847117i
\(629\) −3.76279 + 4.71839i −0.150032 + 0.188135i
\(630\) 9.51824 + 2.72586i 0.379216 + 0.108601i
\(631\) −43.2024 + 9.86066i −1.71986 + 0.392547i −0.964774 0.263080i \(-0.915262\pi\)
−0.755085 + 0.655626i \(0.772405\pi\)
\(632\) 11.8020 + 1.32976i 0.469457 + 0.0528951i
\(633\) −26.4809 16.6391i −1.05252 0.661344i
\(634\) 2.37758 + 1.14498i 0.0944258 + 0.0454731i
\(635\) 22.8648 + 16.1691i 0.907361 + 0.641651i
\(636\) 2.75909 5.72931i 0.109405 0.227182i
\(637\) 0.381786 3.38844i 0.0151269 0.134255i
\(638\) 32.6989 32.6989i 1.29456 1.29456i
\(639\) −4.65381 −0.184102
\(640\) 1.66495 1.49263i 0.0658128 0.0590015i
\(641\) 11.6815 + 24.2570i 0.461393 + 0.958093i 0.993756 + 0.111576i \(0.0355900\pi\)
−0.532363 + 0.846516i \(0.678696\pi\)
\(642\) −5.35239 + 3.36313i −0.211242 + 0.132732i
\(643\) −17.8172 11.1953i −0.702643 0.441500i 0.132752 0.991149i \(-0.457618\pi\)
−0.835395 + 0.549649i \(0.814761\pi\)
\(644\) −6.40822 −0.252519
\(645\) 5.79629 33.0033i 0.228229 1.29950i
\(646\) 50.1043 1.97133
\(647\) 4.49808 + 2.82633i 0.176838 + 0.111114i 0.617542 0.786538i \(-0.288128\pi\)
−0.440704 + 0.897652i \(0.645271\pi\)
\(648\) 9.08379 5.70772i 0.356845 0.224221i
\(649\) 2.62838 + 5.45788i 0.103173 + 0.214241i
\(650\) −3.99073 3.96555i −0.156529 0.155542i
\(651\) −31.4826 −1.23390
\(652\) −13.5392 + 13.5392i −0.530237 + 0.530237i
\(653\) −1.96616 + 17.4501i −0.0769416 + 0.682876i 0.894741 + 0.446586i \(0.147360\pi\)
−0.971683 + 0.236290i \(0.924068\pi\)
\(654\) −13.9906 + 29.0519i −0.547077 + 1.13602i
\(655\) −0.880982 5.13588i −0.0344228 0.200675i
\(656\) 2.86569 + 1.38004i 0.111886 + 0.0538817i
\(657\) −26.8578 16.8759i −1.04782 0.658391i
\(658\) 19.4185 + 2.18794i 0.757014 + 0.0852950i
\(659\) 26.7524 6.10607i 1.04213 0.237859i 0.332991 0.942930i \(-0.391942\pi\)
0.709136 + 0.705072i \(0.249085\pi\)
\(660\) 23.5454 13.0618i 0.916505 0.508428i
\(661\) −16.5277 + 20.7251i −0.642854 + 0.806114i −0.991357 0.131194i \(-0.958119\pi\)
0.348503 + 0.937308i \(0.386690\pi\)
\(662\) −7.48008 + 0.842802i −0.290722 + 0.0327564i
\(663\) 16.7004 10.4936i 0.648591 0.407537i
\(664\) 6.26997 3.01946i 0.243322 0.117178i
\(665\) −26.9032 11.0938i −1.04326 0.430201i
\(666\) −0.389088 + 1.70470i −0.0150768 + 0.0660559i
\(667\) −15.0178 23.9007i −0.581491 0.925437i
\(668\) 10.1019 3.53480i 0.390854 0.136766i
\(669\) −29.5241 61.3075i −1.14147 2.37028i
\(670\) −11.1147 + 7.91278i −0.429399 + 0.305697i
\(671\) −4.32070 3.44564i −0.166799 0.133018i
\(672\) −0.509781 4.52443i −0.0196652 0.174534i
\(673\) 10.4402 + 3.65320i 0.402442 + 0.140821i 0.523908 0.851775i \(-0.324474\pi\)
−0.121466 + 0.992596i \(0.538759\pi\)
\(674\) −1.37072 6.00550i −0.0527981 0.231323i
\(675\) −0.0281097 8.88518i −0.00108194 0.341991i
\(676\) −2.61105 11.4397i −0.100425 0.439990i
\(677\) 22.0478 7.71484i 0.847364 0.296506i 0.128546 0.991704i \(-0.458969\pi\)
0.718818 + 0.695198i \(0.244683\pi\)
\(678\) 27.7567 3.12743i 1.06599 0.120108i
\(679\) 20.8687 + 10.0499i 0.800869 + 0.385678i
\(680\) 17.1263 + 0.934618i 0.656763 + 0.0358410i
\(681\) −43.2052 −1.65563
\(682\) −25.7633 + 25.7633i −0.986527 + 0.986527i
\(683\) 27.7814 + 3.13021i 1.06303 + 0.119774i 0.626115 0.779731i \(-0.284644\pi\)
0.436910 + 0.899505i \(0.356073\pi\)
\(684\) 13.0792 6.29859i 0.500094 0.240833i
\(685\) 5.76831 34.2781i 0.220396 1.30970i
\(686\) −4.44694 19.4833i −0.169785 0.743877i
\(687\) −31.5481 + 31.5481i −1.20363 + 1.20363i
\(688\) −6.40328 + 1.41350i −0.244123 + 0.0538893i
\(689\) 3.13101i 0.119282i
\(690\) −4.57496 15.7861i −0.174166 0.600968i
\(691\) 33.3099 + 7.60277i 1.26717 + 0.289223i 0.802709 0.596371i \(-0.203391\pi\)
0.464460 + 0.885594i \(0.346248\pi\)
\(692\) 0.434936 + 0.152191i 0.0165338 + 0.00578542i
\(693\) 2.61226 23.1845i 0.0992317 0.880706i
\(694\) 22.3567i 0.848649i
\(695\) −4.04823 + 4.54442i −0.153558 + 0.172380i
\(696\) 15.6800 12.5044i 0.594350 0.473978i
\(697\) 8.05795 + 23.0283i 0.305217 + 0.872259i
\(698\) −2.31840 20.5763i −0.0877526 0.778826i
\(699\) −0.617566 + 1.28239i −0.0233585 + 0.0485044i
\(700\) −8.98892 4.29386i −0.339749 0.162293i
\(701\) 11.9439 + 14.9771i 0.451114 + 0.565679i 0.954434 0.298421i \(-0.0964600\pi\)
−0.503321 + 0.864100i \(0.667889\pi\)
\(702\) −1.06381 + 1.69304i −0.0401509 + 0.0638998i
\(703\) 1.69742 4.85094i 0.0640193 0.182957i
\(704\) −4.11966 3.28532i −0.155266 0.123820i
\(705\) 8.47348 + 49.3980i 0.319130 + 1.86044i
\(706\) −5.08843 1.16140i −0.191506 0.0437099i
\(707\) 2.89314 8.26813i 0.108808 0.310955i
\(708\) 0.867723 + 2.47981i 0.0326110 + 0.0931970i
\(709\) −30.8410 7.03925i −1.15826 0.264365i −0.400122 0.916462i \(-0.631032\pi\)
−0.758135 + 0.652098i \(0.773889\pi\)
\(710\) 4.61754 + 0.777038i 0.173293 + 0.0291617i
\(711\) 23.7806 + 11.4521i 0.891843 + 0.429489i
\(712\) 10.1411 + 3.54853i 0.380054 + 0.132987i
\(713\) 11.8324 + 18.8312i 0.443128 + 0.705234i
\(714\) 21.7749 27.3049i 0.814906 1.02186i
\(715\) −7.65461 + 10.8244i −0.286266 + 0.404810i
\(716\) −6.29410 13.0698i −0.235221 0.488442i
\(717\) −17.3923 10.9283i −0.649526 0.408125i
\(718\) −0.855617 + 7.59381i −0.0319313 + 0.283398i
\(719\) −28.3190 + 6.46363i −1.05612 + 0.241053i −0.715114 0.699008i \(-0.753625\pi\)
−0.341007 + 0.940061i \(0.610768\pi\)
\(720\) 4.58812 1.90897i 0.170989 0.0711431i
\(721\) 20.3198 + 16.2045i 0.756748 + 0.603487i
\(722\) −22.3397 + 7.81701i −0.831398 + 0.290919i
\(723\) −25.2804 2.84841i −0.940187 0.105934i
\(724\) 1.52809i 0.0567908i
\(725\) −5.05095 43.5886i −0.187588 1.61884i
\(726\) −23.8873 29.9537i −0.886540 1.11169i
\(727\) −11.2211 + 32.0682i −0.416169 + 1.18934i 0.524911 + 0.851157i \(0.324099\pi\)
−0.941080 + 0.338185i \(0.890187\pi\)
\(728\) 1.19271 + 1.89818i 0.0442047 + 0.0703513i
\(729\) 11.3668 2.59440i 0.420992 0.0960887i
\(730\) 23.8308 + 21.2288i 0.882016 + 0.785712i
\(731\) −42.3972 27.0639i −1.56812 1.00099i
\(732\) −1.69477 1.69477i −0.0626406 0.0626406i
\(733\) 8.47914 13.4945i 0.313184 0.498430i −0.652626 0.757680i \(-0.726333\pi\)
0.965810 + 0.259251i \(0.0834756\pi\)
\(734\) −5.70844 + 25.0103i −0.210702 + 0.923147i
\(735\) 13.5416 7.51217i 0.499489 0.277090i
\(736\) −2.51468 + 2.00539i −0.0926922 + 0.0739195i
\(737\) 22.7342 + 22.7342i 0.837424 + 0.837424i
\(738\) 4.99832 + 4.99832i 0.183991 + 0.183991i
\(739\) −3.03941 3.81129i −0.111806 0.140201i 0.722779 0.691079i \(-0.242864\pi\)
−0.834586 + 0.550878i \(0.814293\pi\)
\(740\) 0.670686 1.62645i 0.0246549 0.0597896i
\(741\) −10.4723 + 13.1318i −0.384709 + 0.482410i
\(742\) 1.83108 + 5.23293i 0.0672211 + 0.192107i
\(743\) −21.6783 + 34.5008i −0.795299 + 1.26571i 0.164877 + 0.986314i \(0.447277\pi\)
−0.960176 + 0.279396i \(0.909866\pi\)
\(744\) −12.3542 + 9.85215i −0.452927 + 0.361198i
\(745\) 9.13410 16.5888i 0.334648 0.607768i
\(746\) −11.5703 + 5.57197i −0.423619 + 0.204004i
\(747\) 15.3687 1.73163i 0.562310 0.0633571i
\(748\) −4.52536 40.1637i −0.165463 1.46853i
\(749\) 1.22634 5.37294i 0.0448095 0.196323i
\(750\) 4.16019 25.2089i 0.151909 0.920501i
\(751\) 0.805934 1.67354i 0.0294090 0.0610683i −0.885747 0.464169i \(-0.846353\pi\)
0.915156 + 0.403100i \(0.132067\pi\)
\(752\) 8.30480 5.21825i 0.302845 0.190290i
\(753\) −23.0218 + 14.4655i −0.838960 + 0.527153i
\(754\) −4.28450 + 8.89685i −0.156032 + 0.324004i
\(755\) −1.60831 + 5.61596i −0.0585325 + 0.204386i
\(756\) −0.787840 + 3.45175i −0.0286535 + 0.125539i
\(757\) −4.42577 39.2798i −0.160857 1.42765i −0.771745 0.635932i \(-0.780616\pi\)
0.610887 0.791717i \(-0.290813\pi\)
\(758\) −2.01961 + 0.227555i −0.0733554 + 0.00826517i
\(759\) −34.8949 + 16.8045i −1.26660 + 0.609964i
\(760\) −14.0289 + 4.06570i −0.508881 + 0.147478i
\(761\) 23.0787 18.4046i 0.836601 0.667167i −0.108446 0.994102i \(-0.534587\pi\)
0.945047 + 0.326936i \(0.106016\pi\)
\(762\) 15.2269 24.2335i 0.551612 0.877886i
\(763\) −9.28495 26.5348i −0.336138 0.960626i
\(764\) 5.18993 6.50797i 0.187765 0.235450i
\(765\) 35.2393 + 14.5314i 1.27408 + 0.525382i
\(766\) 15.0278 + 18.8443i 0.542977 + 0.680871i
\(767\) −0.914698 0.914698i −0.0330278 0.0330278i
\(768\) −1.61592 1.61592i −0.0583094 0.0583094i
\(769\) −31.3266 + 24.9821i −1.12967 + 0.900879i −0.995929 0.0901375i \(-0.971269\pi\)
−0.133738 + 0.991017i \(0.542698\pi\)
\(770\) −6.46298 + 22.5676i −0.232909 + 0.813281i
\(771\) −8.67187 + 37.9939i −0.312310 + 1.36832i
\(772\) −2.74541 + 4.36930i −0.0988096 + 0.157255i
\(773\) −1.87093 1.87093i −0.0672927 0.0672927i 0.672659 0.739952i \(-0.265152\pi\)
−0.739952 + 0.672659i \(0.765152\pi\)
\(774\) −14.4695 1.73499i −0.520096 0.0623628i
\(775\) 3.97962 + 34.3432i 0.142952 + 1.23364i
\(776\) 11.3342 2.58695i 0.406874 0.0928662i
\(777\) −1.90589 3.03321i −0.0683735 0.108816i
\(778\) −0.117800 + 0.336653i −0.00422333 + 0.0120696i
\(779\) −12.9539 16.2436i −0.464120 0.581989i
\(780\) −3.82452 + 4.29329i −0.136940 + 0.153724i
\(781\) 11.0341i 0.394832i
\(782\) −24.5162 2.76231i −0.876698 0.0987802i
\(783\) −14.7203 + 5.15085i −0.526060 + 0.184076i
\(784\) −2.36933 1.88948i −0.0846188 0.0674813i
\(785\) −39.1947 16.1624i −1.39892 0.576860i
\(786\) −5.19199 + 1.18504i −0.185192 + 0.0422689i
\(787\) 1.34103 11.9020i 0.0478026 0.424260i −0.946905 0.321514i \(-0.895808\pi\)
0.994708 0.102746i \(-0.0327630\pi\)
\(788\) 0.939755 + 0.590487i 0.0334774 + 0.0210352i
\(789\) −6.01475 12.4897i −0.214131 0.444647i
\(790\) −21.6831 15.3335i −0.771451 0.545541i
\(791\) −15.1835 + 19.0394i −0.539861 + 0.676965i
\(792\) −6.23026 9.91540i −0.221383 0.352328i
\(793\) 1.11388 + 0.389763i 0.0395550 + 0.0138409i
\(794\) 34.7792 + 16.7488i 1.23427 + 0.594393i
\(795\) −11.5836 + 8.24661i −0.410830 + 0.292477i
\(796\) 9.17930 + 2.09511i 0.325352 + 0.0742594i
\(797\) 18.5370 + 52.9756i 0.656613 + 1.87649i 0.431307 + 0.902205i \(0.358053\pi\)
0.225306 + 0.974288i \(0.427662\pi\)
\(798\) −9.82279 + 28.0719i −0.347723 + 0.993735i
\(799\) 73.3473 + 16.7410i 2.59484 + 0.592255i
\(800\) −4.87110 + 1.12802i −0.172219 + 0.0398816i
\(801\) 18.6681 + 14.8873i 0.659604 + 0.526017i
\(802\) 0.0686311 0.196136i 0.00242345 0.00692581i
\(803\) 40.0125 63.6796i 1.41201 2.24720i
\(804\) 8.69379 + 10.9017i 0.306606 + 0.384472i
\(805\) 12.5522 + 6.91147i 0.442408 + 0.243597i
\(806\) 3.37573 7.00978i 0.118905 0.246909i
\(807\) −0.418406 3.71346i −0.0147286 0.130720i
\(808\) −1.45212 4.14991i −0.0510853 0.145993i
\(809\) 0.322240 0.256978i 0.0113294 0.00903486i −0.617809 0.786328i \(-0.711979\pi\)
0.629138 + 0.777294i \(0.283408\pi\)
\(810\) −23.9490 + 1.38295i −0.841482 + 0.0485920i
\(811\) 13.6626i 0.479757i 0.970803 + 0.239879i \(0.0771077\pi\)
−0.970803 + 0.239879i \(0.922892\pi\)
\(812\) −1.95771 + 17.3752i −0.0687021 + 0.609748i
\(813\) 2.88904 + 1.01092i 0.101323 + 0.0354544i
\(814\) −4.04183 0.922522i −0.141666 0.0323344i
\(815\) 41.1227 11.9177i 1.44046 0.417459i
\(816\) 17.5291i 0.613640i
\(817\) 41.6906 + 9.82917i 1.45857 + 0.343879i
\(818\) −25.2210 + 25.2210i −0.881830 + 0.881830i
\(819\) 1.10863 + 4.85722i 0.0387386 + 0.169725i
\(820\) −4.12480 5.79392i −0.144044 0.202333i
\(821\) −10.7877 + 5.19507i −0.376492 + 0.181309i −0.612554 0.790429i \(-0.709858\pi\)
0.236061 + 0.971738i \(0.424143\pi\)
\(822\) −35.3013 3.97750i −1.23127 0.138731i
\(823\) −26.0996 + 26.0996i −0.909776 + 0.909776i −0.996254 0.0864779i \(-0.972439\pi\)
0.0864779 + 0.996254i \(0.472439\pi\)
\(824\) 13.0448 0.454437
\(825\) −60.2075 + 0.190476i −2.09616 + 0.00663152i
\(826\) −2.06369 0.993820i −0.0718049 0.0345794i
\(827\) 28.3295 3.19197i 0.985114 0.110996i 0.395315 0.918546i \(-0.370635\pi\)
0.589799 + 0.807550i \(0.299207\pi\)
\(828\) −6.74694 + 2.36086i −0.234472 + 0.0820454i
\(829\) −4.59653 20.1387i −0.159644 0.699446i −0.989865 0.142011i \(-0.954643\pi\)
0.830221 0.557434i \(-0.188214\pi\)
\(830\) −15.5380 0.847941i −0.539332 0.0294325i
\(831\) −10.3544 45.3655i −0.359189 1.57371i
\(832\) 1.06205 + 0.371628i 0.0368200 + 0.0128839i
\(833\) −2.60265 23.0992i −0.0901766 0.800339i
\(834\) 4.86293 + 3.87806i 0.168389 + 0.134286i
\(835\) −23.5997 3.97134i −0.816700 0.137434i
\(836\) 14.9339 + 31.0105i 0.516499 + 1.07252i
\(837\) 11.5980 4.05833i 0.400887 0.140276i
\(838\) 11.7475 + 18.6961i 0.405811 + 0.645845i
\(839\) 1.86383 8.16597i 0.0643466 0.281921i −0.932510 0.361143i \(-0.882387\pi\)
0.996857 + 0.0792224i \(0.0252437\pi\)
\(840\) −3.88120 + 9.41212i −0.133914 + 0.324749i
\(841\) −43.2637 + 20.8347i −1.49185 + 0.718438i
\(842\) 21.0101 13.2015i 0.724057 0.454955i
\(843\) −37.3622 + 4.20971i −1.28682 + 0.144990i
\(844\) 8.53270 10.6997i 0.293707 0.368298i
\(845\) −7.22369 + 25.2239i −0.248502 + 0.867728i
\(846\) 21.2510 4.85040i 0.730624 0.166760i
\(847\) 33.1919 + 3.73983i 1.14049 + 0.128502i
\(848\) 2.35613 + 1.48046i 0.0809099 + 0.0508391i
\(849\) 9.50929 + 4.57943i 0.326358 + 0.157166i
\(850\) −32.5384 20.3019i −1.11606 0.696351i
\(851\) −1.09799 + 2.28000i −0.0376387 + 0.0781575i
\(852\) 0.535802 4.75537i 0.0183563 0.162916i
\(853\) 25.7765 25.7765i 0.882570 0.882570i −0.111225 0.993795i \(-0.535477\pi\)
0.993795 + 0.111225i \(0.0354775\pi\)
\(854\) 2.08959 0.0715043
\(855\) −32.4123 1.76881i −1.10848 0.0604919i
\(856\) −1.20017 2.49219i −0.0410211 0.0851813i
\(857\) −23.6025 + 14.8304i −0.806246 + 0.506598i −0.870988 0.491304i \(-0.836520\pi\)
0.0647419 + 0.997902i \(0.479378\pi\)
\(858\) 11.4723 + 7.20855i 0.391659 + 0.246096i
\(859\) −51.3112 −1.75072 −0.875358 0.483475i \(-0.839374\pi\)
−0.875358 + 0.483475i \(0.839374\pi\)
\(860\) 14.0670 + 4.13741i 0.479682 + 0.141085i
\(861\) −14.4818 −0.493539
\(862\) −11.0566 6.94731i −0.376588 0.236626i
\(863\) 26.6203 16.7267i 0.906166 0.569382i 0.00362891 0.999993i \(-0.498845\pi\)
0.902537 + 0.430611i \(0.141702\pi\)
\(864\) 0.771031 + 1.60106i 0.0262310 + 0.0544693i
\(865\) −0.687795 0.767198i −0.0233857 0.0260855i
\(866\) 11.0324 0.374895
\(867\) 67.6047 67.6047i 2.29598 2.29598i
\(868\) 1.54247 13.6898i 0.0523548 0.464662i
\(869\) −27.1529 + 56.3836i −0.921099 + 1.91268i
\(870\) −44.1999 + 7.58182i −1.49852 + 0.257048i
\(871\) −6.18561 2.97883i −0.209591 0.100934i
\(872\) −11.9473 7.50702i −0.404588 0.254220i
\(873\) 25.6743 + 2.89279i 0.868942 + 0.0979062i
\(874\) 20.4829 4.67509i 0.692845 0.158137i
\(875\) 12.9761 + 18.1055i 0.438674 + 0.612078i
\(876\) 20.3364 25.5010i 0.687102 0.861599i
\(877\) −48.5957 + 5.47542i −1.64096 + 0.184892i −0.883645 0.468157i \(-0.844918\pi\)
−0.757316 + 0.653049i \(0.773490\pi\)
\(878\) −19.7139 + 12.3871i −0.665313 + 0.418044i
\(879\) 9.13494 4.39915i 0.308114 0.148380i
\(880\) 4.52614 + 10.8784i 0.152576 + 0.366710i
\(881\) 11.7937 51.6716i 0.397340 1.74086i −0.240462 0.970659i \(-0.577299\pi\)
0.637802 0.770200i \(-0.279844\pi\)
\(882\) −3.58319 5.70261i −0.120652 0.192017i
\(883\) 22.4602 7.85915i 0.755844 0.264481i 0.0752728 0.997163i \(-0.476017\pi\)
0.680572 + 0.732682i \(0.261732\pi\)
\(884\) 3.74477 + 7.77609i 0.125950 + 0.261538i
\(885\) 0.974885 5.79324i 0.0327704 0.194738i
\(886\) −1.33171 1.06201i −0.0447398 0.0356788i
\(887\) 2.15071 + 19.0880i 0.0722136 + 0.640914i 0.976730 + 0.214474i \(0.0688037\pi\)
−0.904516 + 0.426440i \(0.859768\pi\)
\(888\) −1.69711 0.593844i −0.0569513 0.0199281i
\(889\) 5.55237 + 24.3265i 0.186221 + 0.815886i
\(890\) −16.0369 17.8882i −0.537557 0.599615i
\(891\) 12.5790 + 55.1120i 0.421411 + 1.84632i
\(892\) 28.1053 9.83445i 0.941034 0.329282i
\(893\) −63.6647 + 7.17329i −2.13046 + 0.240045i
\(894\) −17.4372 8.39733i −0.583188 0.280849i
\(895\) −1.76754 + 32.3891i −0.0590825 + 1.08265i
\(896\) 1.99236 0.0665602
\(897\) 5.84811 5.84811i 0.195263 0.195263i
\(898\) −8.87044 0.999459i −0.296011 0.0333524i
\(899\) 54.6734 26.3293i 1.82346 0.878133i
\(900\) −11.0459 1.20920i −0.368198 0.0403067i
\(901\) 4.74955 + 20.8091i 0.158231 + 0.693253i
\(902\) −11.8509 + 11.8509i −0.394593 + 0.394593i
\(903\) 23.4749 18.4481i 0.781197 0.613914i
\(904\) 12.2228i 0.406526i
\(905\) 1.64809 2.99316i 0.0547843 0.0994961i
\(906\) 5.82053 + 1.32850i 0.193374 + 0.0441364i
\(907\) 15.7468 + 5.51004i 0.522864 + 0.182958i 0.578789 0.815477i \(-0.303525\pi\)
−0.0559259 + 0.998435i \(0.517811\pi\)
\(908\) 2.11681 18.7872i 0.0702488 0.623475i
\(909\) 9.77102i 0.324084i
\(910\) −0.288987 5.00447i −0.00957982 0.165897i
\(911\) 26.2335 20.9205i 0.869156 0.693129i −0.0837200 0.996489i \(-0.526680\pi\)
0.952876 + 0.303361i \(0.0981087\pi\)
\(912\) 4.93022 + 14.0898i 0.163256 + 0.466558i
\(913\) 4.10567 + 36.4389i 0.135878 + 1.20595i
\(914\) 8.98830 18.6644i 0.297306 0.617363i
\(915\) 1.49180 + 5.14753i 0.0493174 + 0.170172i
\(916\) −12.1726 15.2639i −0.402194 0.504335i
\(917\) 2.47021 3.93132i 0.0815735 0.129823i
\(918\) −4.50198 + 12.8659i −0.148588 + 0.424639i
\(919\) 10.9939 + 8.76733i 0.362655 + 0.289208i 0.787817 0.615910i \(-0.211211\pi\)
−0.425162 + 0.905117i \(0.639783\pi\)
\(920\) 7.08854 1.21593i 0.233702 0.0400880i
\(921\) −36.4275 8.31435i −1.20033 0.273967i
\(922\) 4.23757 12.1103i 0.139557 0.398831i
\(923\) 0.778211 + 2.22400i 0.0256151 + 0.0732039i
\(924\) 23.3897 + 5.33854i 0.769464 + 0.175625i
\(925\) −3.06790 + 2.46249i −0.100872 + 0.0809660i
\(926\) 1.04367 + 0.502606i 0.0342972 + 0.0165167i
\(927\) 27.3637 + 9.57497i 0.898742 + 0.314483i
\(928\) 4.66914 + 7.43090i 0.153272 + 0.243931i
\(929\) 33.2339 41.6740i 1.09037 1.36728i 0.165846 0.986152i \(-0.446965\pi\)
0.924523 0.381127i \(-0.124464\pi\)
\(930\) 34.8249 5.97368i 1.14195 0.195885i
\(931\) 8.58887 + 17.8350i 0.281489 + 0.584517i
\(932\) −0.527373 0.331370i −0.0172747 0.0108544i
\(933\) −6.06335 + 53.8137i −0.198505 + 1.76178i
\(934\) −20.8567 + 4.76040i −0.682452 + 0.155765i
\(935\) −34.4536 + 83.5520i −1.12675 + 2.73244i
\(936\) 1.95506 + 1.55911i 0.0639031 + 0.0509610i
\(937\) 2.12388 0.743178i 0.0693841 0.0242786i −0.295364 0.955385i \(-0.595441\pi\)
0.364748 + 0.931106i \(0.381155\pi\)
\(938\) −12.0802 1.36111i −0.394433 0.0444419i
\(939\) 46.9957i 1.53365i
\(940\) −21.8952 + 1.26436i −0.714143 + 0.0412387i
\(941\) 31.4907 + 39.4881i 1.02657 + 1.28728i 0.957121 + 0.289690i \(0.0935522\pi\)
0.0694476 + 0.997586i \(0.477876\pi\)
\(942\) −14.3106 + 40.8974i −0.466265 + 1.33251i
\(943\) 5.44285 + 8.66224i 0.177243 + 0.282081i
\(944\) −1.12083 + 0.255821i −0.0364798 + 0.00832627i
\(945\) 5.26602 5.91147i 0.171304 0.192300i
\(946\) 4.11363 34.3070i 0.133746 1.11542i
\(947\) −15.7833 15.7833i −0.512888 0.512888i 0.402522 0.915410i \(-0.368134\pi\)
−0.915410 + 0.402522i \(0.868134\pi\)
\(948\) −14.4400 + 22.9811i −0.468989 + 0.746391i
\(949\) −3.57361 + 15.6570i −0.116004 + 0.508249i
\(950\) 31.8643 + 7.16684i 1.03381 + 0.232523i
\(951\) −4.71491 + 3.76001i −0.152891 + 0.121927i
\(952\) 10.8063 + 10.8063i 0.350235 + 0.350235i
\(953\) −0.273489 0.273489i −0.00885919 0.00885919i 0.702663 0.711523i \(-0.251994\pi\)
−0.711523 + 0.702663i \(0.751994\pi\)
\(954\) 3.85573 + 4.83493i 0.124834 + 0.156537i
\(955\) −17.1849 + 7.15009i −0.556091 + 0.231372i
\(956\) 5.60414 7.02738i 0.181251 0.227282i
\(957\) 34.9030 + 99.7472i 1.12826 + 3.22437i
\(958\) −6.19397 + 9.85764i −0.200118 + 0.318486i
\(959\) 24.2146 19.3105i 0.781930 0.623568i
\(960\) 1.42239 + 4.90803i 0.0459074 + 0.158406i
\(961\) −15.1469 + 7.29435i −0.488609 + 0.235302i
\(962\) 0.879721 0.0991207i 0.0283633 0.00319578i
\(963\) −0.688289 6.10873i −0.0221798 0.196851i
\(964\) 2.47719 10.8533i 0.0797849 0.349561i
\(965\) 10.0901 5.59743i 0.324810 0.180188i
\(966\) 6.35397 13.1942i 0.204436 0.424515i
\(967\) −15.2389 + 9.57523i −0.490049 + 0.307918i −0.754294 0.656537i \(-0.772020\pi\)
0.264244 + 0.964456i \(0.414878\pi\)
\(968\) 14.1953 8.91950i 0.456254 0.286684i
\(969\) −49.6801 + 103.162i −1.59595 + 3.31403i
\(970\) −24.9911 7.15703i −0.802417 0.229798i
\(971\) 8.98202 39.3528i 0.288247 1.26289i −0.598682 0.800987i \(-0.704309\pi\)
0.886929 0.461906i \(-0.152834\pi\)
\(972\) 2.14809 + 19.0648i 0.0688999 + 0.611504i
\(973\) −5.38865 + 0.607155i −0.172752 + 0.0194645i
\(974\) 8.46240 4.07527i 0.271153 0.130580i
\(975\) 12.1218 4.28469i 0.388208 0.137220i
\(976\) 0.819984 0.653915i 0.0262470 0.0209313i
\(977\) 26.5616 42.2725i 0.849779 1.35242i −0.0847028 0.996406i \(-0.526994\pi\)
0.934482 0.356010i \(-0.115863\pi\)
\(978\) −14.4519 41.3011i −0.462120 1.32066i
\(979\) −35.2976 + 44.2618i −1.12812 + 1.41461i
\(980\) 2.60310 + 6.25644i 0.0831531 + 0.199855i
\(981\) −19.5514 24.5167i −0.624229 0.782758i
\(982\) −21.3527 21.3527i −0.681392 0.681392i
\(983\) −19.4499 19.4499i −0.620355 0.620355i 0.325267 0.945622i \(-0.394546\pi\)
−0.945622 + 0.325267i \(0.894546\pi\)
\(984\) −5.68286 + 4.53193i −0.181163 + 0.144473i
\(985\) −1.20390 2.17018i −0.0383595 0.0691478i
\(986\) −14.9794 + 65.6290i −0.477041 + 2.09005i
\(987\) −23.7590 + 37.8122i −0.756258 + 1.20358i
\(988\) −5.19712 5.19712i −0.165342 0.165342i
\(989\) −19.8575 7.10791i −0.631431 0.226018i
\(990\) 1.50956 + 26.1415i 0.0479769 + 0.830831i
\(991\) 18.8457 4.30142i 0.598655 0.136639i 0.0875538 0.996160i \(-0.472095\pi\)
0.511101 + 0.859521i \(0.329238\pi\)
\(992\) −3.67879 5.85476i −0.116802 0.185889i
\(993\) 5.68147 16.2367i 0.180296 0.515257i
\(994\) 2.60128 + 3.26190i 0.0825076 + 0.103461i
\(995\) −15.7205 14.0040i −0.498372 0.443957i
\(996\) 15.9034i 0.503919i
\(997\) 8.82608 + 0.994461i 0.279525 + 0.0314949i 0.250614 0.968087i \(-0.419368\pi\)
0.0289109 + 0.999582i \(0.490796\pi\)
\(998\) 38.6564 13.5264i 1.22365 0.428172i
\(999\) 1.09312 + 0.871736i 0.0345849 + 0.0275805i
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 430.2.r.a.27.9 264
5.3 odd 4 inner 430.2.r.a.113.9 yes 264
43.8 odd 14 inner 430.2.r.a.137.9 yes 264
215.8 even 28 inner 430.2.r.a.223.9 yes 264
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.r.a.27.9 264 1.1 even 1 trivial
430.2.r.a.113.9 yes 264 5.3 odd 4 inner
430.2.r.a.137.9 yes 264 43.8 odd 14 inner
430.2.r.a.223.9 yes 264 215.8 even 28 inner