Properties

Label 418.2.s.a.145.1
Level $418$
Weight $2$
Character 418.145
Analytic conductor $3.338$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [418,2,Mod(107,418)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(418, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([9, 25]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("418.107");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.s (of order \(30\), degree \(8\), 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: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 145.1
Character \(\chi\) \(=\) 418.145
Dual form 418.2.s.a.369.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.978148 - 0.207912i) q^{2} +(-1.24186 + 2.78926i) q^{3} +(0.913545 - 0.406737i) q^{4} +(-1.24858 + 1.38669i) q^{5} +(-0.634802 + 2.98651i) q^{6} +(-0.788641 + 1.08547i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-4.23038 - 4.69832i) q^{9} +O(q^{10})\) \(q+(0.978148 - 0.207912i) q^{2} +(-1.24186 + 2.78926i) q^{3} +(0.913545 - 0.406737i) q^{4} +(-1.24858 + 1.38669i) q^{5} +(-0.634802 + 2.98651i) q^{6} +(-0.788641 + 1.08547i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-4.23038 - 4.69832i) q^{9} +(-0.932989 + 1.61598i) q^{10} +(-0.332731 + 3.29989i) q^{11} +3.05323i q^{12} +(-3.50668 - 3.89456i) q^{13} +(-0.545725 + 1.22572i) q^{14} +(-2.31728 - 5.20470i) q^{15} +(0.669131 - 0.743145i) q^{16} +(2.52278 + 2.27152i) q^{17} +(-5.11478 - 3.71610i) q^{18} +(2.04689 - 3.84841i) q^{19} +(-0.576619 + 1.77465i) q^{20} +(-2.04828 - 3.54773i) q^{21} +(0.360626 + 3.29696i) q^{22} +(-1.20784 + 2.09204i) q^{23} +(0.634802 + 2.98651i) q^{24} +(0.158688 + 1.50981i) q^{25} +(-4.23977 - 3.08037i) q^{26} +(9.64702 - 3.13451i) q^{27} +(-0.278958 + 1.31240i) q^{28} +(-9.55123 + 4.25248i) q^{29} +(-3.34876 - 4.60918i) q^{30} +(7.97796 + 2.59220i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-8.79107 - 5.02608i) q^{33} +(2.93993 + 1.69737i) q^{34} +(-0.520530 - 2.44890i) q^{35} +(-5.77563 - 2.57147i) q^{36} +(-2.96650 + 4.08304i) q^{37} +(1.20203 - 4.18988i) q^{38} +(15.2178 - 4.94455i) q^{39} +(-0.195048 + 1.85576i) q^{40} +(2.96055 + 1.31812i) q^{41} +(-2.74114 - 3.04434i) q^{42} +(-9.04129 + 5.21999i) q^{43} +(1.03822 + 3.14994i) q^{44} +11.7971 q^{45} +(-0.746485 + 2.29745i) q^{46} +(0.530503 + 5.04740i) q^{47} +(1.24186 + 2.78926i) q^{48} +(1.60683 + 4.94530i) q^{49} +(0.469128 + 1.44383i) q^{50} +(-9.46881 + 4.21578i) q^{51} +(-4.78757 - 2.13156i) q^{52} +(6.54934 - 5.89705i) q^{53} +(8.78450 - 5.07174i) q^{54} +(-4.16049 - 4.58158i) q^{55} +1.34172i q^{56} +(8.19229 + 10.4885i) q^{57} +(-8.45838 + 6.14537i) q^{58} +(11.8289 + 1.24327i) q^{59} +(-4.23389 - 3.81221i) q^{60} +(1.53279 - 7.21121i) q^{61} +(8.34257 + 0.876839i) q^{62} +(8.43614 - 0.886674i) q^{63} +(0.309017 - 0.951057i) q^{64} +9.77892 q^{65} +(-9.64394 - 3.08848i) q^{66} +(-1.40939 - 0.813713i) q^{67} +(3.22858 + 1.04903i) q^{68} +(-4.33528 - 5.96700i) q^{69} +(-1.01831 - 2.28716i) q^{70} +(2.54873 + 2.29489i) q^{71} +(-6.18406 - 1.31446i) q^{72} +(-2.53235 - 0.266160i) q^{73} +(-2.05276 + 4.61058i) q^{74} +(-4.40833 - 1.43235i) q^{75} +(0.304633 - 4.34824i) q^{76} +(-3.31953 - 2.96360i) q^{77} +(13.8572 - 8.00045i) q^{78} +(7.83102 - 1.66453i) q^{79} +(0.195048 + 1.85576i) q^{80} +(-1.25473 + 11.9380i) q^{81} +(3.16991 + 0.673786i) q^{82} +(4.54914 - 1.47811i) q^{83} +(-3.31419 - 2.40790i) q^{84} +(-6.29979 + 0.662135i) q^{85} +(-7.75842 + 6.98571i) q^{86} -31.9219i q^{87} +(1.67044 + 2.86524i) q^{88} +(10.2064 + 5.89266i) q^{89} +(11.5393 - 2.45276i) q^{90} +(6.99294 - 0.734987i) q^{91} +(-0.252507 + 2.40244i) q^{92} +(-17.1378 + 19.0335i) q^{93} +(1.56832 + 4.82680i) q^{94} +(2.78085 + 7.64346i) q^{95} +(1.79464 + 2.47011i) q^{96} +(2.33981 + 11.0079i) q^{97} +(2.59990 + 4.50316i) q^{98} +(16.9115 - 12.3965i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q - 10 q^{2} - 3 q^{3} + 10 q^{4} - 2 q^{5} + 7 q^{6} - 10 q^{7} + 20 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 80 q - 10 q^{2} - 3 q^{3} + 10 q^{4} - 2 q^{5} + 7 q^{6} - 10 q^{7} + 20 q^{8} - 11 q^{9} + 2 q^{10} - q^{11} + 5 q^{13} - 4 q^{14} - 27 q^{15} + 10 q^{16} - 6 q^{17} - 17 q^{18} - 2 q^{19} + 4 q^{20} + 24 q^{21} - 2 q^{22} - 6 q^{23} - 7 q^{24} - 10 q^{26} - 45 q^{27} + 6 q^{28} - 65 q^{29} + 30 q^{30} + 40 q^{32} + 3 q^{33} + 24 q^{34} - 13 q^{35} - q^{36} + 22 q^{38} - 30 q^{39} - 3 q^{40} - 14 q^{41} - 14 q^{42} + 12 q^{43} + 24 q^{44} - 12 q^{45} - 2 q^{46} - q^{47} + 3 q^{48} + 32 q^{49} + 30 q^{50} - 28 q^{51} - 5 q^{52} - q^{53} - 27 q^{54} - 23 q^{55} + 28 q^{57} - 10 q^{58} + 56 q^{59} - 28 q^{60} + 28 q^{61} + 15 q^{62} + 88 q^{63} - 20 q^{64} + 8 q^{65} - 57 q^{66} - 27 q^{67} - 60 q^{69} + 17 q^{70} + 2 q^{71} + 11 q^{72} - q^{73} + 12 q^{74} - 35 q^{75} - 11 q^{76} - 8 q^{77} - 6 q^{79} + 3 q^{80} + 43 q^{81} - 16 q^{82} - 25 q^{83} + 52 q^{84} - 33 q^{85} - 43 q^{86} - 9 q^{88} - 36 q^{89} + 74 q^{90} + 38 q^{91} - 11 q^{92} + 15 q^{93} - 2 q^{94} - 61 q^{95} - 24 q^{97} - 44 q^{98} + 37 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.978148 0.207912i 0.691655 0.147016i
\(3\) −1.24186 + 2.78926i −0.716988 + 1.61038i 0.0730524 + 0.997328i \(0.476726\pi\)
−0.790041 + 0.613054i \(0.789941\pi\)
\(4\) 0.913545 0.406737i 0.456773 0.203368i
\(5\) −1.24858 + 1.38669i −0.558383 + 0.620147i −0.954557 0.298028i \(-0.903671\pi\)
0.396174 + 0.918175i \(0.370338\pi\)
\(6\) −0.634802 + 2.98651i −0.259157 + 1.21924i
\(7\) −0.788641 + 1.08547i −0.298078 + 0.410269i −0.931617 0.363441i \(-0.881602\pi\)
0.633539 + 0.773711i \(0.281602\pi\)
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) −4.23038 4.69832i −1.41013 1.56611i
\(10\) −0.932989 + 1.61598i −0.295037 + 0.511019i
\(11\) −0.332731 + 3.29989i −0.100322 + 0.994955i
\(12\) 3.05323i 0.881391i
\(13\) −3.50668 3.89456i −0.972577 1.08016i −0.996759 0.0804484i \(-0.974365\pi\)
0.0241819 0.999708i \(-0.492302\pi\)
\(14\) −0.545725 + 1.22572i −0.145851 + 0.327587i
\(15\) −2.31728 5.20470i −0.598320 1.34385i
\(16\) 0.669131 0.743145i 0.167283 0.185786i
\(17\) 2.52278 + 2.27152i 0.611864 + 0.550924i 0.915732 0.401790i \(-0.131612\pi\)
−0.303868 + 0.952714i \(0.598278\pi\)
\(18\) −5.11478 3.71610i −1.20556 0.875894i
\(19\) 2.04689 3.84841i 0.469588 0.882886i
\(20\) −0.576619 + 1.77465i −0.128936 + 0.396824i
\(21\) −2.04828 3.54773i −0.446972 0.774178i
\(22\) 0.360626 + 3.29696i 0.0768858 + 0.702914i
\(23\) −1.20784 + 2.09204i −0.251852 + 0.436220i −0.964036 0.265773i \(-0.914373\pi\)
0.712184 + 0.701993i \(0.247706\pi\)
\(24\) 0.634802 + 2.98651i 0.129578 + 0.609619i
\(25\) 0.158688 + 1.50981i 0.0317375 + 0.301963i
\(26\) −4.23977 3.08037i −0.831487 0.604111i
\(27\) 9.64702 3.13451i 1.85657 0.603236i
\(28\) −0.278958 + 1.31240i −0.0527182 + 0.248020i
\(29\) −9.55123 + 4.25248i −1.77362 + 0.789666i −0.789129 + 0.614227i \(0.789468\pi\)
−0.984490 + 0.175439i \(0.943865\pi\)
\(30\) −3.34876 4.60918i −0.611398 0.841517i
\(31\) 7.97796 + 2.59220i 1.43288 + 0.465572i 0.919671 0.392690i \(-0.128455\pi\)
0.513212 + 0.858262i \(0.328455\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −8.79107 5.02608i −1.53033 0.874928i
\(34\) 2.93993 + 1.69737i 0.504193 + 0.291096i
\(35\) −0.520530 2.44890i −0.0879856 0.413940i
\(36\) −5.77563 2.57147i −0.962605 0.428579i
\(37\) −2.96650 + 4.08304i −0.487690 + 0.671247i −0.979960 0.199195i \(-0.936167\pi\)
0.492270 + 0.870442i \(0.336167\pi\)
\(38\) 1.20203 4.18988i 0.194994 0.679689i
\(39\) 15.2178 4.94455i 2.43679 0.791761i
\(40\) −0.195048 + 1.85576i −0.0308398 + 0.293421i
\(41\) 2.96055 + 1.31812i 0.462361 + 0.205856i 0.624678 0.780882i \(-0.285230\pi\)
−0.162317 + 0.986739i \(0.551897\pi\)
\(42\) −2.74114 3.04434i −0.422967 0.469752i
\(43\) −9.04129 + 5.21999i −1.37878 + 0.796041i −0.992013 0.126135i \(-0.959743\pi\)
−0.386770 + 0.922176i \(0.626409\pi\)
\(44\) 1.03822 + 3.14994i 0.156518 + 0.474871i
\(45\) 11.7971 1.75861
\(46\) −0.746485 + 2.29745i −0.110063 + 0.338740i
\(47\) 0.530503 + 5.04740i 0.0773818 + 0.736239i 0.962575 + 0.271015i \(0.0873594\pi\)
−0.885193 + 0.465224i \(0.845974\pi\)
\(48\) 1.24186 + 2.78926i 0.179247 + 0.402596i
\(49\) 1.60683 + 4.94530i 0.229547 + 0.706472i
\(50\) 0.469128 + 1.44383i 0.0663447 + 0.204188i
\(51\) −9.46881 + 4.21578i −1.32590 + 0.590328i
\(52\) −4.78757 2.13156i −0.663916 0.295594i
\(53\) 6.54934 5.89705i 0.899621 0.810022i −0.0828263 0.996564i \(-0.526395\pi\)
0.982447 + 0.186542i \(0.0597280\pi\)
\(54\) 8.78450 5.07174i 1.19542 0.690176i
\(55\) −4.16049 4.58158i −0.561000 0.617781i
\(56\) 1.34172i 0.179294i
\(57\) 8.19229 + 10.4885i 1.08509 + 1.38923i
\(58\) −8.45838 + 6.14537i −1.11064 + 0.806927i
\(59\) 11.8289 + 1.24327i 1.53999 + 0.161859i 0.836151 0.548500i \(-0.184801\pi\)
0.703839 + 0.710359i \(0.251468\pi\)
\(60\) −4.23389 3.81221i −0.546592 0.492154i
\(61\) 1.53279 7.21121i 0.196254 0.923300i −0.764226 0.644949i \(-0.776879\pi\)
0.960479 0.278351i \(-0.0897880\pi\)
\(62\) 8.34257 + 0.876839i 1.05951 + 0.111359i
\(63\) 8.43614 0.886674i 1.06285 0.111710i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 9.77892 1.21293
\(66\) −9.64394 3.08848i −1.18709 0.380166i
\(67\) −1.40939 0.813713i −0.172185 0.0994109i 0.411431 0.911441i \(-0.365029\pi\)
−0.583616 + 0.812030i \(0.698362\pi\)
\(68\) 3.22858 + 1.04903i 0.391523 + 0.127214i
\(69\) −4.33528 5.96700i −0.521906 0.718342i
\(70\) −1.01831 2.28716i −0.121711 0.273368i
\(71\) 2.54873 + 2.29489i 0.302478 + 0.272353i 0.806366 0.591416i \(-0.201431\pi\)
−0.503888 + 0.863769i \(0.668098\pi\)
\(72\) −6.18406 1.31446i −0.728798 0.154911i
\(73\) −2.53235 0.266160i −0.296389 0.0311517i −0.0448330 0.998994i \(-0.514276\pi\)
−0.251556 + 0.967843i \(0.580942\pi\)
\(74\) −2.05276 + 4.61058i −0.238629 + 0.535969i
\(75\) −4.40833 1.43235i −0.509031 0.165394i
\(76\) 0.304633 4.34824i 0.0349438 0.498777i
\(77\) −3.31953 2.96360i −0.378296 0.337734i
\(78\) 13.8572 8.00045i 1.56902 0.905872i
\(79\) 7.83102 1.66453i 0.881059 0.187275i 0.254897 0.966968i \(-0.417958\pi\)
0.626162 + 0.779693i \(0.284625\pi\)
\(80\) 0.195048 + 1.85576i 0.0218070 + 0.207480i
\(81\) −1.25473 + 11.9380i −0.139414 + 1.32644i
\(82\) 3.16991 + 0.673786i 0.350058 + 0.0744072i
\(83\) 4.54914 1.47811i 0.499333 0.162243i −0.0485126 0.998823i \(-0.515448\pi\)
0.547846 + 0.836579i \(0.315448\pi\)
\(84\) −3.31419 2.40790i −0.361608 0.262724i
\(85\) −6.29979 + 0.662135i −0.683309 + 0.0718186i
\(86\) −7.75842 + 6.98571i −0.836612 + 0.753289i
\(87\) 31.9219i 3.42239i
\(88\) 1.67044 + 2.86524i 0.178070 + 0.305436i
\(89\) 10.2064 + 5.89266i 1.08187 + 0.624621i 0.931402 0.363993i \(-0.118587\pi\)
0.150473 + 0.988614i \(0.451920\pi\)
\(90\) 11.5393 2.45276i 1.21635 0.258543i
\(91\) 6.99294 0.734987i 0.733059 0.0770476i
\(92\) −0.252507 + 2.40244i −0.0263257 + 0.250472i
\(93\) −17.1378 + 19.0335i −1.77711 + 1.97368i
\(94\) 1.56832 + 4.82680i 0.161760 + 0.497847i
\(95\) 2.78085 + 7.64346i 0.285309 + 0.784202i
\(96\) 1.79464 + 2.47011i 0.183165 + 0.252105i
\(97\) 2.33981 + 11.0079i 0.237571 + 1.11769i 0.921573 + 0.388205i \(0.126905\pi\)
−0.684001 + 0.729481i \(0.739762\pi\)
\(98\) 2.59990 + 4.50316i 0.262629 + 0.454888i
\(99\) 16.9115 12.3965i 1.69967 1.24590i
\(100\) 0.759065 + 1.31474i 0.0759065 + 0.131474i
\(101\) −4.31928 + 3.88910i −0.429784 + 0.386979i −0.855437 0.517907i \(-0.826711\pi\)
0.425653 + 0.904887i \(0.360045\pi\)
\(102\) −8.38538 + 6.09233i −0.830276 + 0.603231i
\(103\) −3.12880 + 4.30643i −0.308290 + 0.424325i −0.934847 0.355051i \(-0.884464\pi\)
0.626557 + 0.779376i \(0.284464\pi\)
\(104\) −5.12612 1.08959i −0.502658 0.106843i
\(105\) 7.47706 + 1.58930i 0.729686 + 0.155100i
\(106\) 5.18015 7.12987i 0.503141 0.692514i
\(107\) −0.432441 + 0.314187i −0.0418056 + 0.0303736i −0.608492 0.793560i \(-0.708225\pi\)
0.566686 + 0.823934i \(0.308225\pi\)
\(108\) 7.53807 6.78731i 0.725351 0.653109i
\(109\) −1.58176 2.73969i −0.151505 0.262415i 0.780276 0.625436i \(-0.215079\pi\)
−0.931781 + 0.363021i \(0.881745\pi\)
\(110\) −5.02214 3.61645i −0.478842 0.344815i
\(111\) −7.70469 13.3449i −0.731297 1.26664i
\(112\) 0.278958 + 1.31240i 0.0263591 + 0.124010i
\(113\) −3.82959 5.27098i −0.360258 0.495852i 0.589963 0.807430i \(-0.299142\pi\)
−0.950220 + 0.311578i \(0.899142\pi\)
\(114\) 10.1939 + 8.55602i 0.954750 + 0.801345i
\(115\) −1.39292 4.28698i −0.129891 0.399763i
\(116\) −6.99585 + 7.76967i −0.649548 + 0.721396i
\(117\) −3.46329 + 32.9510i −0.320181 + 3.04632i
\(118\) 11.8289 1.24327i 1.08894 0.114452i
\(119\) −4.45523 + 0.946989i −0.408411 + 0.0868104i
\(120\) −4.93397 2.84863i −0.450408 0.260043i
\(121\) −10.7786 2.19595i −0.979871 0.199632i
\(122\) 7.37231i 0.667457i
\(123\) −7.35319 + 6.62084i −0.663015 + 0.596981i
\(124\) 8.34257 0.876839i 0.749185 0.0787425i
\(125\) −9.83982 7.14904i −0.880100 0.639430i
\(126\) 8.06744 2.62127i 0.718705 0.233521i
\(127\) 0.531145 + 0.112898i 0.0471315 + 0.0100181i 0.231417 0.972855i \(-0.425664\pi\)
−0.184286 + 0.982873i \(0.558997\pi\)
\(128\) 0.104528 0.994522i 0.00923910 0.0879041i
\(129\) −3.33191 31.7010i −0.293359 2.79112i
\(130\) 9.56523 2.03315i 0.838926 0.178319i
\(131\) 10.4082 6.00915i 0.909364 0.525022i 0.0291377 0.999575i \(-0.490724\pi\)
0.880227 + 0.474554i \(0.157391\pi\)
\(132\) −10.0753 1.01590i −0.876945 0.0884231i
\(133\) 2.56308 + 5.25685i 0.222247 + 0.455826i
\(134\) −1.54777 0.502902i −0.133707 0.0434441i
\(135\) −7.69850 + 17.2911i −0.662582 + 1.48818i
\(136\) 3.37614 + 0.354846i 0.289501 + 0.0304278i
\(137\) 10.7098 + 2.27643i 0.914997 + 0.194489i 0.641267 0.767318i \(-0.278409\pi\)
0.273730 + 0.961806i \(0.411742\pi\)
\(138\) −5.48115 4.93525i −0.466587 0.420116i
\(139\) −8.74046 19.6314i −0.741356 1.66511i −0.746730 0.665127i \(-0.768377\pi\)
0.00537403 0.999986i \(-0.498289\pi\)
\(140\) −1.47159 2.02546i −0.124372 0.171183i
\(141\) −14.7373 4.78845i −1.24111 0.403260i
\(142\) 2.97017 + 1.71483i 0.249251 + 0.143905i
\(143\) 14.0184 10.2758i 1.17228 0.859307i
\(144\) −6.32221 −0.526851
\(145\) 6.02862 18.5542i 0.500650 1.54084i
\(146\) −2.53235 + 0.266160i −0.209579 + 0.0220276i
\(147\) −15.7892 1.65951i −1.30227 0.136874i
\(148\) −1.04931 + 4.93663i −0.0862529 + 0.405788i
\(149\) −5.75837 5.18486i −0.471744 0.424760i 0.398660 0.917099i \(-0.369475\pi\)
−0.870404 + 0.492339i \(0.836142\pi\)
\(150\) −4.60980 0.484510i −0.376389 0.0395601i
\(151\) −1.08329 + 0.787053i −0.0881566 + 0.0640495i −0.630990 0.775791i \(-0.717351\pi\)
0.542834 + 0.839840i \(0.317351\pi\)
\(152\) −0.606074 4.31656i −0.0491591 0.350119i
\(153\) 21.4622i 1.73512i
\(154\) −3.86316 2.20867i −0.311302 0.177980i
\(155\) −13.5557 + 7.82639i −1.08882 + 0.628631i
\(156\) 11.8910 10.7067i 0.952040 0.857221i
\(157\) −17.9121 7.97498i −1.42954 0.636473i −0.461472 0.887155i \(-0.652679\pi\)
−0.968070 + 0.250682i \(0.919345\pi\)
\(158\) 7.31382 3.25632i 0.581856 0.259059i
\(159\) 8.31507 + 25.5911i 0.659428 + 2.02951i
\(160\) 0.576619 + 1.77465i 0.0455857 + 0.140298i
\(161\) −1.31830 2.96094i −0.103896 0.233355i
\(162\) 1.25473 + 11.9380i 0.0985809 + 0.937935i
\(163\) 0.250859 0.772066i 0.0196488 0.0604729i −0.940751 0.339097i \(-0.889878\pi\)
0.960400 + 0.278624i \(0.0898784\pi\)
\(164\) 3.24073 0.253059
\(165\) 17.9460 5.91502i 1.39709 0.460484i
\(166\) 4.14242 2.39162i 0.321514 0.185626i
\(167\) 0.148123 + 0.164507i 0.0114621 + 0.0127300i 0.748849 0.662741i \(-0.230607\pi\)
−0.737387 + 0.675471i \(0.763940\pi\)
\(168\) −3.74240 1.66622i −0.288732 0.128552i
\(169\) −1.51194 + 14.3851i −0.116303 + 1.10655i
\(170\) −6.02446 + 1.95747i −0.462055 + 0.150131i
\(171\) −26.7402 + 6.66334i −2.04487 + 0.509558i
\(172\) −6.13647 + 8.44612i −0.467901 + 0.644011i
\(173\) 1.94010 + 0.863787i 0.147503 + 0.0656725i 0.479160 0.877727i \(-0.340941\pi\)
−0.331658 + 0.943400i \(0.607608\pi\)
\(174\) −6.63694 31.2243i −0.503145 2.36711i
\(175\) −1.76401 1.01845i −0.133346 0.0769875i
\(176\) 2.22966 + 2.45533i 0.168067 + 0.185077i
\(177\) −18.1576 + 31.4499i −1.36481 + 2.36392i
\(178\) 11.2085 + 3.64186i 0.840113 + 0.272969i
\(179\) 3.74395 + 5.15311i 0.279836 + 0.385162i 0.925680 0.378308i \(-0.123494\pi\)
−0.645843 + 0.763470i \(0.723494\pi\)
\(180\) 10.7772 4.79831i 0.803284 0.357645i
\(181\) −0.780268 + 3.67087i −0.0579969 + 0.272854i −0.997585 0.0694526i \(-0.977875\pi\)
0.939588 + 0.342306i \(0.111208\pi\)
\(182\) 6.68731 2.17284i 0.495697 0.161062i
\(183\) 18.2104 + 13.2307i 1.34615 + 0.978039i
\(184\) 0.252507 + 2.40244i 0.0186151 + 0.177111i
\(185\) −1.95799 9.21163i −0.143954 0.677253i
\(186\) −12.8060 + 22.1807i −0.938984 + 1.62637i
\(187\) −8.33518 + 7.56909i −0.609529 + 0.553507i
\(188\) 2.53760 + 4.39525i 0.185074 + 0.320557i
\(189\) −4.20562 + 12.9436i −0.305914 + 0.941505i
\(190\) 4.30925 + 6.89826i 0.312626 + 0.500452i
\(191\) 1.41710 + 1.02958i 0.102538 + 0.0744981i 0.637873 0.770142i \(-0.279815\pi\)
−0.535335 + 0.844640i \(0.679815\pi\)
\(192\) 2.26899 + 2.04301i 0.163750 + 0.147442i
\(193\) 9.87594 10.9683i 0.710886 0.789518i −0.274184 0.961677i \(-0.588408\pi\)
0.985069 + 0.172159i \(0.0550743\pi\)
\(194\) 4.57735 + 10.2809i 0.328635 + 0.738126i
\(195\) −12.1441 + 27.2760i −0.869654 + 1.95327i
\(196\) 3.47934 + 3.86420i 0.248525 + 0.276015i
\(197\) 25.6624i 1.82837i 0.405299 + 0.914184i \(0.367167\pi\)
−0.405299 + 0.914184i \(0.632833\pi\)
\(198\) 13.9646 15.6417i 0.992420 1.11161i
\(199\) −2.68425 + 4.64926i −0.190281 + 0.329577i −0.945343 0.326076i \(-0.894273\pi\)
0.755062 + 0.655653i \(0.227607\pi\)
\(200\) 1.01583 + 1.12819i 0.0718298 + 0.0797751i
\(201\) 4.01993 2.92065i 0.283544 0.206007i
\(202\) −3.41630 + 4.70214i −0.240370 + 0.330841i
\(203\) 2.91655 13.7213i 0.204701 0.963044i
\(204\) −6.93547 + 7.70262i −0.485580 + 0.539291i
\(205\) −5.52433 + 2.45959i −0.385836 + 0.171785i
\(206\) −2.16507 + 4.86284i −0.150848 + 0.338810i
\(207\) 14.9387 3.17531i 1.03831 0.220700i
\(208\) −5.24064 −0.363373
\(209\) 12.0183 + 8.03499i 0.831322 + 0.555792i
\(210\) 7.64410 0.527493
\(211\) 11.2248 2.38589i 0.772744 0.164252i 0.195368 0.980730i \(-0.437410\pi\)
0.577376 + 0.816478i \(0.304077\pi\)
\(212\) 3.58457 8.05108i 0.246189 0.552950i
\(213\) −9.56621 + 4.25915i −0.655466 + 0.291832i
\(214\) −0.357668 + 0.397230i −0.0244497 + 0.0271541i
\(215\) 4.05028 19.0551i 0.276227 1.29954i
\(216\) 5.96218 8.20624i 0.405675 0.558364i
\(217\) −9.10549 + 6.61553i −0.618121 + 0.449091i
\(218\) −2.11681 2.35096i −0.143369 0.159227i
\(219\) 3.88721 6.73285i 0.262674 0.454964i
\(220\) −5.66429 2.49326i −0.381887 0.168096i
\(221\) 17.7906i 1.19672i
\(222\) −10.3109 11.4514i −0.692022 0.768568i
\(223\) 6.95548 15.6223i 0.465773 1.04614i −0.516086 0.856537i \(-0.672612\pi\)
0.981860 0.189608i \(-0.0607217\pi\)
\(224\) 0.545725 + 1.22572i 0.0364628 + 0.0818968i
\(225\) 6.42227 7.13265i 0.428151 0.475510i
\(226\) −4.84180 4.35958i −0.322072 0.289995i
\(227\) 17.1177 + 12.4367i 1.13614 + 0.825455i 0.986577 0.163297i \(-0.0522129\pi\)
0.149564 + 0.988752i \(0.452213\pi\)
\(228\) 11.7501 + 6.24961i 0.778168 + 0.413891i
\(229\) 1.68343 5.18108i 0.111244 0.342375i −0.879901 0.475157i \(-0.842391\pi\)
0.991145 + 0.132782i \(0.0423911\pi\)
\(230\) −2.25380 3.90369i −0.148611 0.257402i
\(231\) 12.3887 5.57867i 0.815114 0.367050i
\(232\) −5.22756 + 9.05441i −0.343206 + 0.594451i
\(233\) −0.991994 4.66696i −0.0649877 0.305743i 0.933634 0.358228i \(-0.116619\pi\)
−0.998622 + 0.0524853i \(0.983286\pi\)
\(234\) 3.46329 + 32.9510i 0.226402 + 2.15407i
\(235\) −7.66156 5.56645i −0.499785 0.363115i
\(236\) 11.3119 3.67546i 0.736342 0.239252i
\(237\) −5.08221 + 23.9099i −0.330125 + 1.55312i
\(238\) −4.16099 + 1.85259i −0.269717 + 0.120086i
\(239\) −6.02618 8.29432i −0.389801 0.536515i 0.568347 0.822789i \(-0.307583\pi\)
−0.958148 + 0.286274i \(0.907583\pi\)
\(240\) −5.41841 1.76055i −0.349757 0.113643i
\(241\) 2.79557 4.84207i 0.180079 0.311905i −0.761828 0.647779i \(-0.775698\pi\)
0.941907 + 0.335873i \(0.109031\pi\)
\(242\) −10.9996 + 0.0930264i −0.707081 + 0.00597996i
\(243\) −5.38641 3.10984i −0.345538 0.199497i
\(244\) −1.53279 7.21121i −0.0981268 0.461650i
\(245\) −8.86386 3.94645i −0.566291 0.252129i
\(246\) −5.81596 + 8.00498i −0.370812 + 0.510379i
\(247\) −22.1656 + 5.52341i −1.41036 + 0.351446i
\(248\) 7.97796 2.59220i 0.506601 0.164605i
\(249\) −1.52657 + 14.5244i −0.0967425 + 0.920444i
\(250\) −11.1112 4.94701i −0.702732 0.312876i
\(251\) 15.5661 + 17.2880i 0.982527 + 1.09121i 0.995824 + 0.0912947i \(0.0291005\pi\)
−0.0132974 + 0.999912i \(0.504233\pi\)
\(252\) 7.34616 4.24131i 0.462764 0.267177i
\(253\) −6.50161 4.68182i −0.408753 0.294344i
\(254\) 0.543011 0.0340716
\(255\) 5.97659 18.3941i 0.374269 1.15188i
\(256\) −0.104528 0.994522i −0.00653303 0.0621576i
\(257\) −9.16392 20.5825i −0.571629 1.28390i −0.935788 0.352564i \(-0.885310\pi\)
0.364159 0.931337i \(-0.381357\pi\)
\(258\) −9.85012 30.3156i −0.613242 1.88736i
\(259\) −2.09252 6.44010i −0.130023 0.400168i
\(260\) 8.93349 3.97745i 0.554032 0.246671i
\(261\) 60.3849 + 26.8851i 3.73773 + 1.66415i
\(262\) 8.93133 8.04181i 0.551780 0.496825i
\(263\) −26.8145 + 15.4813i −1.65345 + 0.954621i −0.677814 + 0.735234i \(0.737072\pi\)
−0.975638 + 0.219387i \(0.929594\pi\)
\(264\) −10.0664 + 1.10107i −0.619543 + 0.0677664i
\(265\) 16.4449i 1.01020i
\(266\) 3.60003 + 4.60908i 0.220732 + 0.282601i
\(267\) −29.1111 + 21.1504i −1.78157 + 1.29439i
\(268\) −1.61851 0.170112i −0.0988663 0.0103913i
\(269\) −0.00547206 0.00492707i −0.000333638 0.000300409i 0.668964 0.743295i \(-0.266738\pi\)
−0.669297 + 0.742995i \(0.733405\pi\)
\(270\) −3.93525 + 18.5139i −0.239491 + 1.12672i
\(271\) 0.924106 + 0.0971275i 0.0561355 + 0.00590008i 0.132555 0.991176i \(-0.457682\pi\)
−0.0764191 + 0.997076i \(0.524349\pi\)
\(272\) 3.37614 0.354846i 0.204708 0.0215157i
\(273\) −6.63418 + 20.4179i −0.401519 + 1.23575i
\(274\) 10.9490 0.661455
\(275\) −5.03502 + 0.0212908i −0.303623 + 0.00128389i
\(276\) −6.38747 3.68781i −0.384481 0.221980i
\(277\) 21.0687 + 6.84563i 1.26589 + 0.411314i 0.863591 0.504193i \(-0.168210\pi\)
0.402303 + 0.915507i \(0.368210\pi\)
\(278\) −12.6311 17.3852i −0.757560 1.04269i
\(279\) −21.5709 48.4490i −1.29141 2.90056i
\(280\) −1.86055 1.67524i −0.111189 0.100115i
\(281\) −11.3372 2.40979i −0.676318 0.143756i −0.143067 0.989713i \(-0.545697\pi\)
−0.533251 + 0.845957i \(0.679030\pi\)
\(282\) −15.4109 1.61975i −0.917704 0.0964546i
\(283\) −9.21827 + 20.7046i −0.547969 + 1.23076i 0.401199 + 0.915991i \(0.368594\pi\)
−0.949168 + 0.314769i \(0.898073\pi\)
\(284\) 3.26179 + 1.05982i 0.193552 + 0.0628888i
\(285\) −24.7730 1.73557i −1.46743 0.102806i
\(286\) 11.5756 12.9659i 0.684480 0.766687i
\(287\) −3.76560 + 2.17407i −0.222276 + 0.128331i
\(288\) −6.18406 + 1.31446i −0.364399 + 0.0774554i
\(289\) −0.572376 5.44579i −0.0336692 0.320341i
\(290\) 2.03925 19.4022i 0.119749 1.13933i
\(291\) −33.6097 7.14397i −1.97024 0.418787i
\(292\) −2.42167 + 0.786849i −0.141718 + 0.0460469i
\(293\) 4.37278 + 3.17701i 0.255461 + 0.185603i 0.708144 0.706069i \(-0.249533\pi\)
−0.452683 + 0.891672i \(0.649533\pi\)
\(294\) −15.7892 + 1.65951i −0.920845 + 0.0967847i
\(295\) −16.4934 + 14.8507i −0.960281 + 0.864641i
\(296\) 5.04691i 0.293346i
\(297\) 7.13367 + 32.8771i 0.413937 + 1.90772i
\(298\) −6.71053 3.87432i −0.388730 0.224434i
\(299\) 12.3831 2.63210i 0.716131 0.152218i
\(300\) −4.60980 + 0.484510i −0.266147 + 0.0279732i
\(301\) 1.46418 13.9308i 0.0843940 0.802955i
\(302\) −0.895976 + 0.995082i −0.0515576 + 0.0572606i
\(303\) −5.48377 16.8773i −0.315035 0.969577i
\(304\) −1.49029 4.09622i −0.0854741 0.234934i
\(305\) 8.08590 + 11.1293i 0.462997 + 0.637261i
\(306\) −4.46225 20.9932i −0.255090 1.20010i
\(307\) 3.06298 + 5.30525i 0.174814 + 0.302786i 0.940097 0.340908i \(-0.110734\pi\)
−0.765283 + 0.643694i \(0.777401\pi\)
\(308\) −4.23795 1.35721i −0.241479 0.0773341i
\(309\) −8.12623 14.0750i −0.462285 0.800701i
\(310\) −11.6323 + 10.4738i −0.660670 + 0.594870i
\(311\) 24.9392 18.1194i 1.41417 1.02746i 0.421471 0.906842i \(-0.361514\pi\)
0.992700 0.120613i \(-0.0384861\pi\)
\(312\) 9.40509 12.9450i 0.532458 0.732866i
\(313\) 30.3954 + 6.46074i 1.71805 + 0.365182i 0.958461 0.285223i \(-0.0920678\pi\)
0.759587 + 0.650406i \(0.225401\pi\)
\(314\) −19.1788 4.07657i −1.08232 0.230054i
\(315\) −9.30367 + 12.8054i −0.524203 + 0.721503i
\(316\) 6.47697 4.70579i 0.364358 0.264721i
\(317\) 7.36481 6.63131i 0.413649 0.372451i −0.435870 0.900010i \(-0.643559\pi\)
0.849519 + 0.527559i \(0.176892\pi\)
\(318\) 13.4541 + 23.3031i 0.754466 + 1.30677i
\(319\) −10.8547 32.9330i −0.607749 1.84389i
\(320\) 0.932989 + 1.61598i 0.0521556 + 0.0903362i
\(321\) −0.339318 1.59637i −0.0189389 0.0891006i
\(322\) −1.90510 2.62215i −0.106167 0.146127i
\(323\) 13.9056 5.05915i 0.773727 0.281498i
\(324\) 3.70935 + 11.4162i 0.206075 + 0.634234i
\(325\) 5.32359 5.91244i 0.295299 0.327963i
\(326\) 0.0848560 0.807351i 0.00469974 0.0447150i
\(327\) 9.60605 1.00964i 0.531216 0.0558330i
\(328\) 3.16991 0.673786i 0.175029 0.0372036i
\(329\) −5.89718 3.40474i −0.325122 0.187709i
\(330\) 16.3240 9.51694i 0.898608 0.523890i
\(331\) 2.86923i 0.157707i −0.996886 0.0788535i \(-0.974874\pi\)
0.996886 0.0788535i \(-0.0251259\pi\)
\(332\) 3.55465 3.20062i 0.195087 0.175657i
\(333\) 31.7329 3.33526i 1.73895 0.182771i
\(334\) 0.179089 + 0.130116i 0.00979933 + 0.00711963i
\(335\) 2.88811 0.938404i 0.157794 0.0512705i
\(336\) −4.00705 0.851724i −0.218602 0.0464654i
\(337\) 0.384125 3.65470i 0.0209246 0.199084i −0.979065 0.203546i \(-0.934753\pi\)
0.999990 + 0.00446137i \(0.00142010\pi\)
\(338\) 1.51194 + 14.3851i 0.0822385 + 0.782447i
\(339\) 19.4580 4.13592i 1.05681 0.224632i
\(340\) −5.48583 + 3.16725i −0.297511 + 0.171768i
\(341\) −11.2085 + 25.4639i −0.606973 + 1.37895i
\(342\) −24.7704 + 12.0773i −1.33943 + 0.653067i
\(343\) −15.5675 5.05819i −0.840567 0.273117i
\(344\) −4.24632 + 9.53740i −0.228946 + 0.514222i
\(345\) 13.6873 + 1.43860i 0.736902 + 0.0774515i
\(346\) 2.07729 + 0.441542i 0.111676 + 0.0237375i
\(347\) 11.9855 + 10.7918i 0.643413 + 0.579332i 0.924889 0.380236i \(-0.124157\pi\)
−0.281476 + 0.959568i \(0.590824\pi\)
\(348\) −12.9838 29.1621i −0.696005 1.56325i
\(349\) −19.4617 26.7867i −1.04176 1.43386i −0.895741 0.444577i \(-0.853354\pi\)
−0.146019 0.989282i \(-0.546646\pi\)
\(350\) −1.93720 0.629436i −0.103548 0.0336448i
\(351\) −46.0365 26.5792i −2.45724 1.41869i
\(352\) 2.69143 + 1.93810i 0.143453 + 0.103301i
\(353\) −23.6994 −1.26139 −0.630696 0.776030i \(-0.717230\pi\)
−0.630696 + 0.776030i \(0.717230\pi\)
\(354\) −11.2220 + 34.5378i −0.596444 + 1.83567i
\(355\) −6.36459 + 0.668946i −0.337798 + 0.0355040i
\(356\) 11.7208 + 1.23190i 0.621199 + 0.0652906i
\(357\) 2.89138 13.6029i 0.153028 0.719939i
\(358\) 4.73353 + 4.26209i 0.250175 + 0.225259i
\(359\) 9.67471 + 1.01685i 0.510612 + 0.0536674i 0.356331 0.934360i \(-0.384027\pi\)
0.154280 + 0.988027i \(0.450694\pi\)
\(360\) 9.54406 6.93416i 0.503016 0.365462i
\(361\) −10.6205 15.7545i −0.558975 0.829185i
\(362\) 3.75288i 0.197247i
\(363\) 19.5106 27.3372i 1.02404 1.43483i
\(364\) 6.08942 3.51573i 0.319172 0.184274i
\(365\) 3.53093 3.17926i 0.184817 0.166410i
\(366\) 20.5633 + 9.15538i 1.07486 + 0.478559i
\(367\) −22.3380 + 9.94553i −1.16604 + 0.519153i −0.896155 0.443741i \(-0.853651\pi\)
−0.269881 + 0.962894i \(0.586984\pi\)
\(368\) 0.746485 + 2.29745i 0.0389132 + 0.119763i
\(369\) −6.33132 19.4858i −0.329595 1.01439i
\(370\) −3.83041 8.60324i −0.199134 0.447261i
\(371\) 1.23600 + 11.7598i 0.0641700 + 0.610537i
\(372\) −7.91457 + 24.3585i −0.410351 + 1.26293i
\(373\) 17.2528 0.893316 0.446658 0.894705i \(-0.352614\pi\)
0.446658 + 0.894705i \(0.352614\pi\)
\(374\) −6.57933 + 9.13667i −0.340209 + 0.472446i
\(375\) 32.1602 18.5677i 1.66075 0.958833i
\(376\) 3.39597 + 3.77161i 0.175134 + 0.194506i
\(377\) 50.0546 + 22.2858i 2.57794 + 1.14777i
\(378\) −1.42260 + 13.5351i −0.0731705 + 0.696171i
\(379\) 18.3900 5.97527i 0.944630 0.306929i 0.204099 0.978950i \(-0.434574\pi\)
0.740532 + 0.672021i \(0.234574\pi\)
\(380\) 5.64931 + 5.85157i 0.289803 + 0.300179i
\(381\) −0.974512 + 1.34130i −0.0499258 + 0.0687169i
\(382\) 1.60020 + 0.712454i 0.0818732 + 0.0364523i
\(383\) 4.82063 + 22.6793i 0.246323 + 1.15886i 0.911219 + 0.411922i \(0.135142\pi\)
−0.664896 + 0.746936i \(0.731524\pi\)
\(384\) 2.64417 + 1.52661i 0.134935 + 0.0779047i
\(385\) 8.25431 0.902868i 0.420678 0.0460144i
\(386\) 7.37968 12.7820i 0.375616 0.650586i
\(387\) 62.7733 + 20.3963i 3.19095 + 1.03680i
\(388\) 6.61485 + 9.10456i 0.335818 + 0.462214i
\(389\) 24.5157 10.9151i 1.24299 0.553417i 0.323391 0.946265i \(-0.395177\pi\)
0.919603 + 0.392848i \(0.128510\pi\)
\(390\) −6.20768 + 29.2048i −0.314338 + 1.47884i
\(391\) −7.79921 + 2.53412i −0.394423 + 0.128156i
\(392\) 4.20673 + 3.05637i 0.212472 + 0.154370i
\(393\) 3.83563 + 36.4936i 0.193482 + 1.84086i
\(394\) 5.33551 + 25.1016i 0.268799 + 1.26460i
\(395\) −7.46948 + 12.9375i −0.375830 + 0.650957i
\(396\) 10.4073 18.2033i 0.522988 0.914752i
\(397\) −17.0263 29.4905i −0.854528 1.48009i −0.877083 0.480340i \(-0.840513\pi\)
0.0225551 0.999746i \(-0.492820\pi\)
\(398\) −1.65896 + 5.10575i −0.0831560 + 0.255928i
\(399\) −17.8457 + 0.620837i −0.893404 + 0.0310807i
\(400\) 1.22819 + 0.892334i 0.0614096 + 0.0446167i
\(401\) −21.8553 19.6786i −1.09140 0.982704i −0.0914890 0.995806i \(-0.529163\pi\)
−0.999914 + 0.0131022i \(0.995829\pi\)
\(402\) 3.32485 3.69262i 0.165828 0.184171i
\(403\) −17.8807 40.1606i −0.890699 2.00054i
\(404\) −2.36402 + 5.30967i −0.117614 + 0.264166i
\(405\) −14.9876 16.6455i −0.744741 0.827119i
\(406\) 14.0278i 0.696188i
\(407\) −12.4865 11.1477i −0.618935 0.552570i
\(408\) −5.18245 + 8.97627i −0.256569 + 0.444391i
\(409\) 19.7027 + 21.8821i 0.974237 + 1.08200i 0.996612 + 0.0822506i \(0.0262108\pi\)
−0.0223743 + 0.999750i \(0.507123\pi\)
\(410\) −4.89223 + 3.55441i −0.241610 + 0.175540i
\(411\) −19.6496 + 27.0454i −0.969244 + 1.33405i
\(412\) −1.10672 + 5.20672i −0.0545243 + 0.256516i
\(413\) −10.6783 + 11.8594i −0.525443 + 0.583564i
\(414\) 13.9521 6.21185i 0.685706 0.305296i
\(415\) −3.63030 + 8.15379i −0.178204 + 0.400254i
\(416\) −5.12612 + 1.08959i −0.251329 + 0.0534216i
\(417\) 65.6116 3.21301
\(418\) 13.4262 + 5.36066i 0.656698 + 0.262199i
\(419\) 10.7814 0.526705 0.263353 0.964700i \(-0.415172\pi\)
0.263353 + 0.964700i \(0.415172\pi\)
\(420\) 7.47706 1.58930i 0.364843 0.0775498i
\(421\) 0.839584 1.88574i 0.0409188 0.0919051i −0.891930 0.452174i \(-0.850648\pi\)
0.932848 + 0.360269i \(0.117315\pi\)
\(422\) 10.4834 4.66751i 0.510324 0.227211i
\(423\) 21.4701 23.8449i 1.04391 1.15938i
\(424\) 1.83233 8.62042i 0.0889856 0.418644i
\(425\) −3.02924 + 4.16938i −0.146940 + 0.202245i
\(426\) −8.47163 + 6.15500i −0.410452 + 0.298211i
\(427\) 6.61873 + 7.35085i 0.320303 + 0.355732i
\(428\) −0.267263 + 0.462913i −0.0129187 + 0.0223758i
\(429\) 11.2531 + 51.8621i 0.543303 + 2.50393i
\(430\) 19.4808i 0.939446i
\(431\) 4.81526 + 5.34789i 0.231943 + 0.257599i 0.847870 0.530205i \(-0.177885\pi\)
−0.615927 + 0.787803i \(0.711218\pi\)
\(432\) 4.12572 9.26652i 0.198499 0.445836i
\(433\) 1.13732 + 2.55446i 0.0546560 + 0.122759i 0.938809 0.344438i \(-0.111930\pi\)
−0.884153 + 0.467197i \(0.845264\pi\)
\(434\) −7.53107 + 8.36410i −0.361503 + 0.401490i
\(435\) 44.2658 + 39.8571i 2.12238 + 1.91100i
\(436\) −2.55934 1.85947i −0.122570 0.0890526i
\(437\) 5.57871 + 8.93042i 0.266866 + 0.427200i
\(438\) 2.40243 7.39392i 0.114793 0.353295i
\(439\) 1.01003 + 1.74942i 0.0482059 + 0.0834951i 0.889122 0.457671i \(-0.151316\pi\)
−0.840916 + 0.541166i \(0.817983\pi\)
\(440\) −6.05889 1.26110i −0.288846 0.0601208i
\(441\) 16.4371 28.4699i 0.782720 1.35571i
\(442\) −3.69887 17.4018i −0.175937 0.827720i
\(443\) 2.42518 + 23.0740i 0.115224 + 1.09628i 0.887441 + 0.460922i \(0.152481\pi\)
−0.772217 + 0.635359i \(0.780852\pi\)
\(444\) −12.4665 9.05741i −0.591632 0.429846i
\(445\) −20.9148 + 6.79564i −0.991457 + 0.322144i
\(446\) 3.55544 16.7270i 0.168355 0.792047i
\(447\) 21.6130 9.62274i 1.02226 0.455140i
\(448\) 0.788641 + 1.08547i 0.0372598 + 0.0512837i
\(449\) −39.9912 12.9939i −1.88730 0.613221i −0.982139 0.188155i \(-0.939749\pi\)
−0.905162 0.425067i \(-0.860251\pi\)
\(450\) 4.79897 8.31205i 0.226225 0.391834i
\(451\) −5.33474 + 9.33093i −0.251203 + 0.439376i
\(452\) −5.64241 3.25764i −0.265396 0.153227i
\(453\) −0.850010 3.99898i −0.0399369 0.187889i
\(454\) 19.3294 + 8.60599i 0.907173 + 0.403899i
\(455\) −7.71206 + 10.6147i −0.361547 + 0.497626i
\(456\) 12.7927 + 3.67006i 0.599072 + 0.171866i
\(457\) 15.8721 5.15717i 0.742467 0.241242i 0.0867304 0.996232i \(-0.472358\pi\)
0.655737 + 0.754990i \(0.272358\pi\)
\(458\) 0.569440 5.41786i 0.0266082 0.253160i
\(459\) 31.4574 + 14.0057i 1.46830 + 0.653731i
\(460\) −3.01617 3.34980i −0.140630 0.156185i
\(461\) 24.9658 14.4140i 1.16277 0.671326i 0.210805 0.977528i \(-0.432392\pi\)
0.951967 + 0.306202i \(0.0990582\pi\)
\(462\) 10.9581 8.03251i 0.509815 0.373706i
\(463\) −28.0670 −1.30438 −0.652192 0.758054i \(-0.726151\pi\)
−0.652192 + 0.758054i \(0.726151\pi\)
\(464\) −3.23081 + 9.94342i −0.149987 + 0.461612i
\(465\) −4.99558 47.5297i −0.231664 2.20414i
\(466\) −1.94063 4.35873i −0.0898981 0.201914i
\(467\) 6.65538 + 20.4831i 0.307974 + 0.947847i 0.978551 + 0.206006i \(0.0660468\pi\)
−0.670577 + 0.741840i \(0.733953\pi\)
\(468\) 10.2385 + 31.5108i 0.473275 + 1.45659i
\(469\) 1.99477 0.888127i 0.0921098 0.0410099i
\(470\) −8.65147 3.85188i −0.399063 0.177674i
\(471\) 44.4887 40.0578i 2.04993 1.84576i
\(472\) 10.3005 5.94702i 0.474121 0.273734i
\(473\) −14.2171 31.5721i −0.653702 1.45169i
\(474\) 24.4441i 1.12275i
\(475\) 6.13519 + 2.47972i 0.281502 + 0.113777i
\(476\) −3.68488 + 2.67722i −0.168896 + 0.122710i
\(477\) −55.4124 5.82408i −2.53716 0.266666i
\(478\) −7.61897 6.86016i −0.348484 0.313776i
\(479\) 2.64090 12.4245i 0.120666 0.567688i −0.875725 0.482809i \(-0.839616\pi\)
0.996391 0.0848787i \(-0.0270503\pi\)
\(480\) −5.66605 0.595525i −0.258618 0.0271819i
\(481\) 26.3042 2.76468i 1.19937 0.126059i
\(482\) 1.72776 5.31750i 0.0786973 0.242205i
\(483\) 9.89598 0.450283
\(484\) −10.7399 + 2.37794i −0.488177 + 0.108088i
\(485\) −18.1860 10.4997i −0.825786 0.476768i
\(486\) −5.91528 1.92199i −0.268322 0.0871832i
\(487\) 8.90971 + 12.2632i 0.403738 + 0.555697i 0.961677 0.274184i \(-0.0884079\pi\)
−0.557940 + 0.829882i \(0.688408\pi\)
\(488\) −2.99859 6.73494i −0.135740 0.304876i
\(489\) 1.84196 + 1.65851i 0.0832965 + 0.0750005i
\(490\) −9.49068 2.01731i −0.428745 0.0911326i
\(491\) 5.22755 + 0.549437i 0.235916 + 0.0247958i 0.221749 0.975104i \(-0.428824\pi\)
0.0141674 + 0.999900i \(0.495490\pi\)
\(492\) −4.02453 + 9.03925i −0.181440 + 0.407521i
\(493\) −33.7552 10.9677i −1.52026 0.493962i
\(494\) −20.5329 + 10.0112i −0.923817 + 0.450425i
\(495\) −3.92526 + 38.9292i −0.176427 + 1.74974i
\(496\) 7.26467 4.19426i 0.326193 0.188328i
\(497\) −4.50106 + 0.956730i −0.201900 + 0.0429152i
\(498\) 1.52657 + 14.5244i 0.0684073 + 0.650852i
\(499\) −2.52981 + 24.0695i −0.113250 + 1.07750i 0.779331 + 0.626612i \(0.215559\pi\)
−0.892581 + 0.450887i \(0.851108\pi\)
\(500\) −11.8969 2.52876i −0.532045 0.113090i
\(501\) −0.642802 + 0.208859i −0.0287183 + 0.00933114i
\(502\) 18.8204 + 13.6738i 0.839994 + 0.610291i
\(503\) 3.80193 0.399599i 0.169520 0.0178173i −0.0193882 0.999812i \(-0.506172\pi\)
0.188908 + 0.981995i \(0.439505\pi\)
\(504\) 6.30381 5.67597i 0.280794 0.252828i
\(505\) 10.8454i 0.482612i
\(506\) −7.33294 3.22775i −0.325989 0.143491i
\(507\) −38.2463 22.0815i −1.69858 0.980674i
\(508\) 0.531145 0.112898i 0.0235658 0.00500906i
\(509\) 9.65149 1.01441i 0.427795 0.0449630i 0.111815 0.993729i \(-0.464334\pi\)
0.315980 + 0.948766i \(0.397667\pi\)
\(510\) 2.02165 19.2347i 0.0895202 0.851728i
\(511\) 2.28602 2.53888i 0.101128 0.112314i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) 7.68347 43.5416i 0.339233 1.92241i
\(514\) −13.2430 18.2274i −0.584124 0.803977i
\(515\) −2.06512 9.71561i −0.0909999 0.428121i
\(516\) −15.9378 27.6051i −0.701624 1.21525i
\(517\) −16.8324 + 0.0711766i −0.740288 + 0.00313034i
\(518\) −3.38576 5.86431i −0.148762 0.257663i
\(519\) −4.81866 + 4.33874i −0.211516 + 0.190450i
\(520\) 7.91131 5.74791i 0.346934 0.252062i
\(521\) −11.9346 + 16.4266i −0.522866 + 0.719663i −0.986022 0.166614i \(-0.946717\pi\)
0.463157 + 0.886276i \(0.346717\pi\)
\(522\) 64.6551 + 13.7429i 2.82988 + 0.601509i
\(523\) −27.5470 5.85530i −1.20455 0.256034i −0.438448 0.898757i \(-0.644472\pi\)
−0.766099 + 0.642722i \(0.777805\pi\)
\(524\) 7.06418 9.72301i 0.308600 0.424751i
\(525\) 5.03137 3.65551i 0.219587 0.159539i
\(526\) −23.0098 + 20.7181i −1.00327 + 0.903351i
\(527\) 14.2384 + 24.6616i 0.620234 + 1.07428i
\(528\) −9.61748 + 3.16993i −0.418547 + 0.137954i
\(529\) 8.58225 + 14.8649i 0.373141 + 0.646300i
\(530\) 3.41908 + 16.0855i 0.148515 + 0.698710i
\(531\) −44.1995 60.8354i −1.91809 2.64003i
\(532\) 4.47964 + 3.75987i 0.194217 + 0.163011i
\(533\) −5.24820 16.1523i −0.227325 0.699633i
\(534\) −24.0775 + 26.7408i −1.04194 + 1.15719i
\(535\) 0.104258 0.991950i 0.00450747 0.0428857i
\(536\) −1.61851 + 0.170112i −0.0699090 + 0.00734774i
\(537\) −19.0229 + 4.04343i −0.820897 + 0.174487i
\(538\) −0.00637688 0.00368169i −0.000274927 0.000158729i
\(539\) −16.8536 + 3.65690i −0.725936 + 0.157514i
\(540\) 18.9275i 0.814509i
\(541\) −17.8074 + 16.0339i −0.765601 + 0.689351i −0.956329 0.292292i \(-0.905582\pi\)
0.190728 + 0.981643i \(0.438915\pi\)
\(542\) 0.924106 0.0971275i 0.0396938 0.00417198i
\(543\) −9.27005 6.73508i −0.397816 0.289030i
\(544\) 3.22858 1.04903i 0.138424 0.0449768i
\(545\) 5.77407 + 1.22732i 0.247334 + 0.0525724i
\(546\) −2.24408 + 21.3510i −0.0960380 + 0.913740i
\(547\) −2.41429 22.9705i −0.103228 0.982146i −0.916438 0.400176i \(-0.868949\pi\)
0.813211 0.581970i \(-0.197718\pi\)
\(548\) 10.7098 2.27643i 0.457499 0.0972444i
\(549\) −40.3648 + 23.3046i −1.72273 + 0.994618i
\(550\) −4.92057 + 1.06767i −0.209814 + 0.0455254i
\(551\) −3.18498 + 45.4614i −0.135685 + 1.93672i
\(552\) −7.01463 2.27919i −0.298562 0.0970088i
\(553\) −4.36906 + 9.81306i −0.185791 + 0.417294i
\(554\) 22.0316 + 2.31561i 0.936031 + 0.0983809i
\(555\) 28.1252 + 5.97820i 1.19385 + 0.253760i
\(556\) −15.9696 14.3791i −0.677262 0.609810i
\(557\) 3.90865 + 8.77896i 0.165615 + 0.371977i 0.977220 0.212230i \(-0.0680725\pi\)
−0.811605 + 0.584206i \(0.801406\pi\)
\(558\) −31.1726 42.9054i −1.31964 1.81633i
\(559\) 52.0344 + 16.9070i 2.20082 + 0.715090i
\(560\) −2.16819 1.25181i −0.0916228 0.0528984i
\(561\) −10.7611 32.6488i −0.454333 1.37843i
\(562\) −11.5904 −0.488913
\(563\) 5.10240 15.7036i 0.215041 0.661827i −0.784110 0.620622i \(-0.786880\pi\)
0.999151 0.0412052i \(-0.0131197\pi\)
\(564\) −15.4109 + 1.61975i −0.648915 + 0.0682037i
\(565\) 12.0908 + 1.27079i 0.508663 + 0.0534626i
\(566\) −4.71211 + 22.1687i −0.198065 + 0.931821i
\(567\) −11.9688 10.7767i −0.502641 0.452580i
\(568\) 3.41086 + 0.358496i 0.143117 + 0.0150422i
\(569\) 1.90715 1.38562i 0.0799517 0.0580883i −0.547091 0.837073i \(-0.684265\pi\)
0.627043 + 0.778985i \(0.284265\pi\)
\(570\) −24.5925 + 3.45296i −1.03007 + 0.144629i
\(571\) 40.1729i 1.68118i 0.541668 + 0.840592i \(0.317793\pi\)
−0.541668 + 0.840592i \(0.682207\pi\)
\(572\) 8.62690 15.0892i 0.360709 0.630912i
\(573\) −4.63163 + 2.67407i −0.193489 + 0.111711i
\(574\) −3.23130 + 2.90947i −0.134872 + 0.121439i
\(575\) −3.35025 1.49163i −0.139715 0.0622052i
\(576\) −5.77563 + 2.57147i −0.240651 + 0.107145i
\(577\) −2.99779 9.22626i −0.124800 0.384094i 0.869065 0.494698i \(-0.164721\pi\)
−0.993865 + 0.110604i \(0.964721\pi\)
\(578\) −1.69211 5.20778i −0.0703826 0.216615i
\(579\) 18.3291 + 41.1677i 0.761730 + 1.71087i
\(580\) −2.03925 19.4022i −0.0846752 0.805631i
\(581\) −1.98320 + 6.10365i −0.0822769 + 0.253222i
\(582\) −34.3606 −1.42429
\(583\) 17.2805 + 23.5742i 0.715684 + 0.976345i
\(584\) −2.20516 + 1.27315i −0.0912501 + 0.0526833i
\(585\) −41.3686 45.9445i −1.71038 1.89957i
\(586\) 4.93777 + 2.19844i 0.203977 + 0.0908165i
\(587\) −1.49167 + 14.1923i −0.0615679 + 0.585779i 0.919631 + 0.392782i \(0.128487\pi\)
−0.981199 + 0.192997i \(0.938179\pi\)
\(588\) −15.0991 + 4.90601i −0.622678 + 0.202320i
\(589\) 26.3058 25.3965i 1.08391 1.04645i
\(590\) −13.0453 + 17.9553i −0.537067 + 0.739209i
\(591\) −71.5791 31.8691i −2.94437 1.31092i
\(592\) 1.04931 + 4.93663i 0.0431265 + 0.202894i
\(593\) 16.3657 + 9.44872i 0.672057 + 0.388012i 0.796856 0.604170i \(-0.206495\pi\)
−0.124798 + 0.992182i \(0.539828\pi\)
\(594\) 13.8133 + 30.6754i 0.566767 + 1.25863i
\(595\) 4.24955 7.36043i 0.174214 0.301748i
\(596\) −7.36940 2.39446i −0.301862 0.0980811i
\(597\) −9.63454 13.2608i −0.394315 0.542729i
\(598\) 11.5652 5.14917i 0.472937 0.210565i
\(599\) 3.68304 17.3273i 0.150485 0.707976i −0.836605 0.547807i \(-0.815463\pi\)
0.987090 0.160169i \(-0.0512039\pi\)
\(600\) −4.40833 + 1.43235i −0.179969 + 0.0584756i
\(601\) −13.2356 9.61624i −0.539892 0.392255i 0.284153 0.958779i \(-0.408288\pi\)
−0.824045 + 0.566524i \(0.808288\pi\)
\(602\) −1.46418 13.9308i −0.0596756 0.567775i
\(603\) 2.13919 + 10.0641i 0.0871145 + 0.409842i
\(604\) −0.669508 + 1.15962i −0.0272419 + 0.0471843i
\(605\) 16.5031 12.2047i 0.670945 0.496193i
\(606\) −8.87293 15.3684i −0.360438 0.624297i
\(607\) −1.32568 + 4.08003i −0.0538078 + 0.165603i −0.974349 0.225042i \(-0.927748\pi\)
0.920541 + 0.390645i \(0.127748\pi\)
\(608\) −2.30938 3.69686i −0.0936577 0.149927i
\(609\) 34.6503 + 25.1749i 1.40410 + 1.02014i
\(610\) 10.2231 + 9.20493i 0.413922 + 0.372697i
\(611\) 17.7971 19.7657i 0.719993 0.799633i
\(612\) −8.72947 19.6067i −0.352868 0.792554i
\(613\) 6.30312 14.1571i 0.254581 0.571798i −0.740366 0.672204i \(-0.765348\pi\)
0.994947 + 0.100406i \(0.0320143\pi\)
\(614\) 4.09907 + 4.55248i 0.165425 + 0.183723i
\(615\) 18.4633i 0.744511i
\(616\) −4.42752 0.446430i −0.178390 0.0179872i
\(617\) 0.0159189 0.0275724i 0.000640872 0.00111002i −0.865705 0.500555i \(-0.833129\pi\)
0.866346 + 0.499445i \(0.166463\pi\)
\(618\) −10.8750 12.0779i −0.437457 0.485845i
\(619\) −30.3825 + 22.0742i −1.22118 + 0.887237i −0.996197 0.0871262i \(-0.972232\pi\)
−0.224980 + 0.974363i \(0.572232\pi\)
\(620\) −9.20048 + 12.6634i −0.369500 + 0.508573i
\(621\) −5.09453 + 23.9679i −0.204437 + 0.961799i
\(622\) 20.6270 22.9086i 0.827066 0.918550i
\(623\) −14.4455 + 6.43154i −0.578746 + 0.257674i
\(624\) 6.50815 14.6175i 0.260534 0.585170i
\(625\) 14.7746 3.14043i 0.590983 0.125617i
\(626\) 31.0744 1.24198
\(627\) −37.3367 + 23.5438i −1.49108 + 0.940250i
\(628\) −19.6072 −0.782414
\(629\) −16.7585 + 3.56213i −0.668206 + 0.142032i
\(630\) −6.43797 + 14.4599i −0.256495 + 0.576097i
\(631\) −5.68916 + 2.53298i −0.226482 + 0.100836i −0.516841 0.856082i \(-0.672892\pi\)
0.290359 + 0.956918i \(0.406225\pi\)
\(632\) 5.35704 5.94960i 0.213092 0.236662i
\(633\) −7.28469 + 34.2717i −0.289540 + 1.36218i
\(634\) 5.82515 8.01763i 0.231346 0.318421i
\(635\) −0.819734 + 0.595572i −0.0325302 + 0.0236345i
\(636\) 18.0050 + 19.9966i 0.713947 + 0.792918i
\(637\) 13.6251 23.5994i 0.539848 0.935044i
\(638\) −17.4647 29.9565i −0.691434 1.18599i
\(639\) 21.6830i 0.857766i
\(640\) 1.24858 + 1.38669i 0.0493546 + 0.0548138i
\(641\) −6.07515 + 13.6450i −0.239954 + 0.538946i −0.992874 0.119166i \(-0.961978\pi\)
0.752920 + 0.658112i \(0.228645\pi\)
\(642\) −0.663807 1.49093i −0.0261984 0.0588425i
\(643\) 12.0777 13.4137i 0.476300 0.528985i −0.456334 0.889809i \(-0.650838\pi\)
0.932634 + 0.360824i \(0.117504\pi\)
\(644\) −2.40865 2.16875i −0.0949139 0.0854609i
\(645\) 48.1197 + 34.9610i 1.89471 + 1.37659i
\(646\) 12.5499 7.83972i 0.493767 0.308450i
\(647\) 10.7025 32.9389i 0.420758 1.29496i −0.486240 0.873825i \(-0.661632\pi\)
0.906998 0.421135i \(-0.138368\pi\)
\(648\) 6.00186 + 10.3955i 0.235775 + 0.408375i
\(649\) −8.03848 + 38.6204i −0.315538 + 1.51598i
\(650\) 3.97799 6.89008i 0.156030 0.270251i
\(651\) −7.14470 33.6132i −0.280023 1.31740i
\(652\) −0.0848560 0.807351i −0.00332322 0.0316183i
\(653\) −15.9720 11.6043i −0.625031 0.454112i 0.229644 0.973275i \(-0.426244\pi\)
−0.854675 + 0.519163i \(0.826244\pi\)
\(654\) 9.18622 2.98478i 0.359210 0.116714i
\(655\) −4.66260 + 21.9358i −0.182183 + 0.857103i
\(656\) 2.96055 1.31812i 0.115590 0.0514641i
\(657\) 9.46230 + 13.0237i 0.369159 + 0.508104i
\(658\) −6.47620 2.10424i −0.252469 0.0820320i
\(659\) −15.2646 + 26.4390i −0.594622 + 1.02992i 0.398978 + 0.916961i \(0.369365\pi\)
−0.993600 + 0.112956i \(0.963968\pi\)
\(660\) 13.9886 12.7029i 0.544506 0.494461i
\(661\) 24.3919 + 14.0827i 0.948735 + 0.547753i 0.892688 0.450676i \(-0.148817\pi\)
0.0560474 + 0.998428i \(0.482150\pi\)
\(662\) −0.596546 2.80653i −0.0231854 0.109079i
\(663\) 49.6226 + 22.0934i 1.92718 + 0.858038i
\(664\) 2.81152 3.86973i 0.109108 0.150175i
\(665\) −10.4898 3.00941i −0.406779 0.116700i
\(666\) 30.3460 9.86000i 1.17588 0.382067i
\(667\) 2.63999 25.1179i 0.102221 0.972567i
\(668\) 0.202228 + 0.0900378i 0.00782445 + 0.00348367i
\(669\) 34.9369 + 38.8013i 1.35074 + 1.50015i
\(670\) 2.62989 1.51837i 0.101602 0.0586598i
\(671\) 23.2862 + 7.45743i 0.898954 + 0.287891i
\(672\) −4.09657 −0.158028
\(673\) −8.01739 + 24.6750i −0.309048 + 0.951151i 0.669088 + 0.743183i \(0.266685\pi\)
−0.978136 + 0.207968i \(0.933315\pi\)
\(674\) −0.384125 3.65470i −0.0147959 0.140774i
\(675\) 6.26338 + 14.0678i 0.241078 + 0.541469i
\(676\) 4.46973 + 13.7564i 0.171913 + 0.529093i
\(677\) −14.0463 43.2301i −0.539844 1.66147i −0.732943 0.680290i \(-0.761854\pi\)
0.193099 0.981179i \(-0.438146\pi\)
\(678\) 18.1729 8.09108i 0.697925 0.310736i
\(679\) −13.7941 6.14151i −0.529367 0.235689i
\(680\) −4.70745 + 4.23860i −0.180522 + 0.162543i
\(681\) −55.9471 + 32.3011i −2.14390 + 1.23778i
\(682\) −5.66931 + 27.2378i −0.217089 + 1.04299i
\(683\) 33.7112i 1.28992i 0.764215 + 0.644962i \(0.223127\pi\)
−0.764215 + 0.644962i \(0.776873\pi\)
\(684\) −21.7181 + 16.9635i −0.830414 + 0.648614i
\(685\) −16.5287 + 12.0088i −0.631531 + 0.458834i
\(686\) −16.2790 1.71099i −0.621535 0.0653259i
\(687\) 12.3608 + 11.1297i 0.471594 + 0.424625i
\(688\) −2.17059 + 10.2118i −0.0827531 + 0.389323i
\(689\) −45.9328 4.82773i −1.74990 0.183922i
\(690\) 13.6873 1.43860i 0.521068 0.0547665i
\(691\) −14.1902 + 43.6729i −0.539820 + 1.66140i 0.193177 + 0.981164i \(0.438121\pi\)
−0.732997 + 0.680232i \(0.761879\pi\)
\(692\) 2.12370 0.0807310
\(693\) 0.118963 + 28.1334i 0.00451905 + 1.06870i
\(694\) 13.9673 + 8.06401i 0.530191 + 0.306106i
\(695\) 38.1359 + 12.3911i 1.44658 + 0.470021i
\(696\) −18.7632 25.8254i −0.711218 0.978908i
\(697\) 4.47468 + 10.0503i 0.169491 + 0.380682i
\(698\) −24.6057 22.1550i −0.931338 0.838580i
\(699\) 14.2493 + 3.02879i 0.538959 + 0.114559i
\(700\) −2.02574 0.212914i −0.0765658 0.00804739i
\(701\) 6.22640 13.9847i 0.235168 0.528196i −0.756955 0.653468i \(-0.773314\pi\)
0.992122 + 0.125272i \(0.0399803\pi\)
\(702\) −50.5566 16.4268i −1.90814 0.619991i
\(703\) 9.64112 + 19.7738i 0.363622 + 0.745784i
\(704\) 3.03556 + 1.33617i 0.114407 + 0.0503588i
\(705\) 25.0409 14.4574i 0.943095 0.544496i
\(706\) −23.1815 + 4.92738i −0.872448 + 0.185444i
\(707\) −0.815141 7.75555i −0.0306565 0.291677i
\(708\) −3.79598 + 36.1163i −0.142662 + 1.35733i
\(709\) −45.3375 9.63678i −1.70268 0.361917i −0.748964 0.662611i \(-0.769448\pi\)
−0.953721 + 0.300694i \(0.902782\pi\)
\(710\) −6.08643 + 1.97760i −0.228420 + 0.0742181i
\(711\) −40.9487 29.7510i −1.53570 1.11575i
\(712\) 11.7208 1.23190i 0.439254 0.0461675i
\(713\) −15.0591 + 13.5592i −0.563966 + 0.507797i
\(714\) 13.9067i 0.520447i
\(715\) −3.25375 + 32.2694i −0.121683 + 1.20681i
\(716\) 5.51623 + 3.18480i 0.206151 + 0.119021i
\(717\) 30.6187 6.50821i 1.14348 0.243053i
\(718\) 9.67471 1.01685i 0.361057 0.0379486i
\(719\) −3.92042 + 37.3003i −0.146207 + 1.39107i 0.637746 + 0.770247i \(0.279867\pi\)
−0.783953 + 0.620820i \(0.786800\pi\)
\(720\) 7.89380 8.76695i 0.294185 0.326725i
\(721\) −2.20700 6.79245i −0.0821930 0.252964i
\(722\) −13.6640 13.2021i −0.508521 0.491331i
\(723\) 10.0341 + 13.8108i 0.373173 + 0.513628i
\(724\) 0.780268 + 3.67087i 0.0289984 + 0.136427i
\(725\) −7.93612 13.7458i −0.294740 0.510505i
\(726\) 13.4005 30.7963i 0.497339 1.14296i
\(727\) 16.9344 + 29.3312i 0.628062 + 1.08784i 0.987940 + 0.154836i \(0.0494850\pi\)
−0.359878 + 0.932999i \(0.617182\pi\)
\(728\) 5.22539 4.70496i 0.193666 0.174377i
\(729\) −13.7703 + 10.0047i −0.510011 + 0.370545i
\(730\) 2.79276 3.84391i 0.103365 0.142269i
\(731\) −34.6665 7.36859i −1.28219 0.272537i
\(732\) 22.0175 + 4.67996i 0.813789 + 0.172976i
\(733\) 3.31490 4.56257i 0.122439 0.168522i −0.743398 0.668850i \(-0.766787\pi\)
0.865836 + 0.500327i \(0.166787\pi\)
\(734\) −19.7821 + 14.3725i −0.730171 + 0.530500i
\(735\) 22.0154 19.8227i 0.812049 0.731172i
\(736\) 1.20784 + 2.09204i 0.0445215 + 0.0771135i
\(737\) 3.15411 4.38010i 0.116183 0.161343i
\(738\) −10.2443 17.7436i −0.377098 0.653152i
\(739\) −3.38841 15.9412i −0.124645 0.586408i −0.995491 0.0948528i \(-0.969762\pi\)
0.870846 0.491555i \(-0.163571\pi\)
\(740\) −5.53542 7.61886i −0.203486 0.280075i
\(741\) 12.1203 68.6851i 0.445252 2.52321i
\(742\) 3.65399 + 11.2458i 0.134142 + 0.412847i
\(743\) 15.3267 17.0220i 0.562281 0.624477i −0.393227 0.919442i \(-0.628641\pi\)
0.955508 + 0.294965i \(0.0953079\pi\)
\(744\) −2.67719 + 25.4718i −0.0981506 + 0.933840i
\(745\) 14.3796 1.51136i 0.526828 0.0553718i
\(746\) 16.8758 3.58706i 0.617866 0.131332i
\(747\) −26.1892 15.1204i −0.958214 0.553225i
\(748\) −4.53594 + 10.3049i −0.165850 + 0.376786i
\(749\) 0.717182i 0.0262053i
\(750\) 27.5970 24.8485i 1.00770 0.907338i
\(751\) 9.29735 0.977191i 0.339265 0.0356582i 0.0666359 0.997777i \(-0.478773\pi\)
0.272629 + 0.962119i \(0.412107\pi\)
\(752\) 4.10593 + 2.98313i 0.149728 + 0.108784i
\(753\) −67.5517 + 21.9489i −2.46172 + 0.799861i
\(754\) 53.5943 + 11.3918i 1.95179 + 0.414865i
\(755\) 0.261172 2.48488i 0.00950502 0.0904342i
\(756\) 1.42260 + 13.5351i 0.0517393 + 0.492267i
\(757\) 10.7009 2.27454i 0.388929 0.0826695i −0.00929665 0.999957i \(-0.502959\pi\)
0.398226 + 0.917287i \(0.369626\pi\)
\(758\) 16.7458 9.66819i 0.608235 0.351165i
\(759\) 21.1329 12.3205i 0.767077 0.447208i
\(760\) 6.74247 + 4.54914i 0.244575 + 0.165015i
\(761\) −23.1014 7.50611i −0.837427 0.272096i −0.141256 0.989973i \(-0.545114\pi\)
−0.696170 + 0.717877i \(0.745114\pi\)
\(762\) −0.674344 + 1.51460i −0.0244289 + 0.0548683i
\(763\) 4.22130 + 0.443676i 0.152821 + 0.0160622i
\(764\) 1.71336 + 0.364185i 0.0619871 + 0.0131758i
\(765\) 29.7615 + 26.7973i 1.07603 + 0.968860i
\(766\) 9.43058 + 21.1814i 0.340741 + 0.765316i
\(767\) −36.6381 50.4280i −1.32292 1.82085i
\(768\) 2.90379 + 0.943500i 0.104782 + 0.0340456i
\(769\) 3.03006 + 1.74941i 0.109267 + 0.0630852i 0.553637 0.832758i \(-0.313239\pi\)
−0.444371 + 0.895843i \(0.646573\pi\)
\(770\) 7.88621 2.59930i 0.284199 0.0936724i
\(771\) 68.7903 2.47742
\(772\) 4.56089 14.0370i 0.164150 0.505202i
\(773\) −20.5921 + 2.16431i −0.740645 + 0.0778449i −0.467334 0.884081i \(-0.654785\pi\)
−0.273311 + 0.961926i \(0.588119\pi\)
\(774\) 65.6422 + 6.89927i 2.35946 + 0.247989i
\(775\) −2.64773 + 12.4566i −0.0951091 + 0.447453i
\(776\) 8.36324 + 7.53030i 0.300223 + 0.270322i
\(777\) 20.5618 + 2.16113i 0.737649 + 0.0775300i
\(778\) 21.7106 15.7737i 0.778362 0.565513i
\(779\) 11.1326 8.69538i 0.398867 0.311544i
\(780\) 29.8573i 1.06906i
\(781\) −8.42092 + 7.64695i −0.301324 + 0.273629i
\(782\) −7.10191 + 4.10029i −0.253964 + 0.146626i
\(783\) −78.8115 + 70.9622i −2.81649 + 2.53598i
\(784\) 4.75025 + 2.11495i 0.169652 + 0.0755339i
\(785\) 33.4236 14.8811i 1.19294 0.531131i
\(786\) 11.3393 + 34.8987i 0.404458 + 1.24479i
\(787\) 0.598860 + 1.84310i 0.0213471 + 0.0656995i 0.961163 0.275983i \(-0.0890033\pi\)
−0.939815 + 0.341682i \(0.889003\pi\)
\(788\) 10.4378 + 23.4437i 0.371832 + 0.835149i
\(789\) −9.88172 94.0183i −0.351799 3.34714i
\(790\) −4.61639 + 14.2078i −0.164244 + 0.505491i
\(791\) 8.74167 0.310818
\(792\) 6.39521 19.9694i 0.227244 0.709580i
\(793\) −33.4595 + 19.3178i −1.18818 + 0.685996i
\(794\) −22.7857 25.3061i −0.808634 0.898079i
\(795\) −45.8691 20.4222i −1.62681 0.724302i
\(796\) −0.561161 + 5.33909i −0.0198898 + 0.189239i
\(797\) −16.5031 + 5.36217i −0.584569 + 0.189938i −0.586346 0.810061i \(-0.699434\pi\)
0.00177752 + 0.999998i \(0.499434\pi\)
\(798\) −17.3267 + 4.31760i −0.613358 + 0.152842i
\(799\) −10.1269 + 13.9385i −0.358265 + 0.493109i
\(800\) 1.38688 + 0.617479i 0.0490336 + 0.0218312i
\(801\) −15.4914 72.8811i −0.547360 2.57513i
\(802\) −25.4692 14.7046i −0.899347 0.519238i
\(803\) 1.72089 8.26792i 0.0607289 0.291768i
\(804\) 2.48445 4.30320i 0.0876199 0.151762i
\(805\) 5.75191 + 1.86891i 0.202728 + 0.0658704i
\(806\) −25.8398 35.5654i −0.910167 1.25274i
\(807\) 0.0205384 0.00914430i 0.000722987 0.000321895i
\(808\) −1.20842 + 5.68515i −0.0425119 + 0.200003i
\(809\) −19.4955 + 6.33446i −0.685424 + 0.222708i −0.630969 0.775808i \(-0.717342\pi\)
−0.0544556 + 0.998516i \(0.517342\pi\)
\(810\) −18.1209 13.1656i −0.636704 0.462592i
\(811\) 1.56022 + 14.8445i 0.0547869 + 0.521262i 0.987157 + 0.159756i \(0.0510708\pi\)
−0.932370 + 0.361506i \(0.882263\pi\)
\(812\) −2.91655 13.7213i −0.102351 0.481522i
\(813\) −1.41853 + 2.45696i −0.0497499 + 0.0861693i
\(814\) −14.5314 8.30799i −0.509326 0.291195i
\(815\) 0.757399 + 1.31185i 0.0265305 + 0.0459522i
\(816\) −3.20293 + 9.85760i −0.112125 + 0.345085i
\(817\) 1.58219 + 45.4793i 0.0553537 + 1.59112i
\(818\) 23.8217 + 17.3075i 0.832907 + 0.605142i
\(819\) −33.0360 29.7458i −1.15437 1.03940i
\(820\) −4.04632 + 4.49389i −0.141304 + 0.156934i
\(821\) 12.3881 + 27.8240i 0.432346 + 0.971066i 0.990010 + 0.140999i \(0.0450313\pi\)
−0.557663 + 0.830067i \(0.688302\pi\)
\(822\) −13.5972 + 30.5397i −0.474256 + 1.06520i
\(823\) 12.9874 + 14.4240i 0.452713 + 0.502789i 0.925688 0.378287i \(-0.123487\pi\)
−0.472975 + 0.881076i \(0.656820\pi\)
\(824\) 5.32304i 0.185437i
\(825\) 6.19341 14.0704i 0.215627 0.489870i
\(826\) −7.97921 + 13.8204i −0.277632 + 0.480873i
\(827\) −4.85619 5.39335i −0.168866 0.187545i 0.652772 0.757555i \(-0.273606\pi\)
−0.821638 + 0.570010i \(0.806939\pi\)
\(828\) 12.3556 8.97690i 0.429388 0.311969i
\(829\) 14.6386 20.1484i 0.508421 0.699782i −0.475231 0.879861i \(-0.657635\pi\)
0.983652 + 0.180079i \(0.0576355\pi\)
\(830\) −1.85570 + 8.73039i −0.0644124 + 0.303036i
\(831\) −45.2586 + 50.2648i −1.57000 + 1.74367i
\(832\) −4.78757 + 2.13156i −0.165979 + 0.0738986i
\(833\) −7.17969 + 16.1258i −0.248761 + 0.558727i
\(834\) 64.1778 13.6414i 2.22230 0.472363i
\(835\) −0.413065 −0.0142947
\(836\) 14.2474 + 2.45205i 0.492755 + 0.0848060i
\(837\) 85.0887 2.94110
\(838\) 10.5458 2.24158i 0.364298 0.0774340i
\(839\) 18.6708 41.9353i 0.644588 1.44777i −0.234982 0.972000i \(-0.575503\pi\)
0.879570 0.475769i \(-0.157830\pi\)
\(840\) 6.98323 3.10914i 0.240944 0.107275i
\(841\) 53.7377 59.6817i 1.85302 2.05799i
\(842\) 0.429170 2.01909i 0.0147902 0.0695823i
\(843\) 20.8007 28.6297i 0.716415 0.986060i
\(844\) 9.28389 6.74514i 0.319565 0.232177i
\(845\) −18.0599 20.0576i −0.621281 0.690002i
\(846\) 16.0433 27.7877i 0.551578 0.955362i
\(847\) 10.8841 9.96802i 0.373981 0.342505i
\(848\) 8.81300i 0.302640i
\(849\) −46.3027 51.4244i −1.58911 1.76488i
\(850\) −2.09618 + 4.70809i −0.0718982 + 0.161486i
\(851\) −4.95882 11.1377i −0.169986 0.381795i
\(852\) −7.00681 + 7.78185i −0.240049 + 0.266602i
\(853\) −2.05720 1.85231i −0.0704371 0.0634218i 0.633160 0.774021i \(-0.281757\pi\)
−0.703597 + 0.710599i \(0.748424\pi\)
\(854\) 8.00243 + 5.81410i 0.273837 + 0.198954i
\(855\) 24.1473 45.4001i 0.825821 1.55265i
\(856\) −0.165178 + 0.508365i −0.00564566 + 0.0173755i
\(857\) 9.14573 + 15.8409i 0.312412 + 0.541114i 0.978884 0.204416i \(-0.0655297\pi\)
−0.666472 + 0.745530i \(0.732196\pi\)
\(858\) 21.7899 + 48.3892i 0.743895 + 1.65198i
\(859\) 26.9880 46.7446i 0.920818 1.59490i 0.122665 0.992448i \(-0.460856\pi\)
0.798153 0.602455i \(-0.205811\pi\)
\(860\) −4.05028 19.0551i −0.138113 0.649772i
\(861\) −1.38771 13.2031i −0.0472929 0.449962i
\(862\) 5.82192 + 4.22987i 0.198295 + 0.144070i
\(863\) −20.9643 + 6.81171i −0.713633 + 0.231873i −0.643261 0.765647i \(-0.722419\pi\)
−0.0703726 + 0.997521i \(0.522419\pi\)
\(864\) 2.10895 9.92181i 0.0717478 0.337547i
\(865\) −3.62018 + 1.61181i −0.123090 + 0.0548031i
\(866\) 1.64357 + 2.26217i 0.0558506 + 0.0768718i
\(867\) 15.9006 + 5.16640i 0.540011 + 0.175460i
\(868\) −5.62750 + 9.74712i −0.191010 + 0.330839i
\(869\) 2.88716 + 26.3954i 0.0979403 + 0.895402i
\(870\) 51.5853 + 29.7828i 1.74890 + 1.00973i
\(871\) 1.77323 + 8.34239i 0.0600836 + 0.282671i
\(872\) −2.89002 1.28672i −0.0978685 0.0435739i
\(873\) 41.8205 57.5609i 1.41541 1.94814i
\(874\) 7.31354 + 7.57539i 0.247384 + 0.256241i
\(875\) 15.5202 5.04281i 0.524677 0.170478i
\(876\) 0.812649 7.73184i 0.0274569 0.261235i
\(877\) 26.8141 + 11.9384i 0.905449 + 0.403132i 0.806003 0.591911i \(-0.201626\pi\)
0.0994455 + 0.995043i \(0.468293\pi\)
\(878\) 1.35168 + 1.50119i 0.0456170 + 0.0506628i
\(879\) −14.2919 + 8.25144i −0.482054 + 0.278314i
\(880\) −6.18869 + 0.0261692i −0.208621 + 0.000882163i
\(881\) 0.714239 0.0240633 0.0120317 0.999928i \(-0.496170\pi\)
0.0120317 + 0.999928i \(0.496170\pi\)
\(882\) 10.1587 31.2652i 0.342061 1.05276i
\(883\) −4.46895 42.5193i −0.150392 1.43089i −0.766003 0.642837i \(-0.777757\pi\)
0.615611 0.788050i \(-0.288909\pi\)
\(884\) −7.23608 16.2525i −0.243376 0.546631i
\(885\) −20.9400 64.4468i −0.703892 2.16636i
\(886\) 7.16955 + 22.0656i 0.240866 + 0.741308i
\(887\) −15.8548 + 7.05903i −0.532353 + 0.237019i −0.655266 0.755399i \(-0.727443\pi\)
0.122912 + 0.992418i \(0.460777\pi\)
\(888\) −14.0772 6.26756i −0.472399 0.210326i
\(889\) −0.541431 + 0.487506i −0.0181590 + 0.0163504i
\(890\) −19.0449 + 10.9956i −0.638386 + 0.368572i
\(891\) −38.9765 8.11260i −1.30576 0.271782i
\(892\) 17.1007i 0.572574i
\(893\) 20.5103 + 8.28985i 0.686353 + 0.277409i
\(894\) 19.1401 13.9061i 0.640139 0.465088i
\(895\) −11.8204 1.24238i −0.395113 0.0415280i
\(896\) 0.997089 + 0.897783i 0.0333104 + 0.0299928i
\(897\) −8.03641 + 37.8083i −0.268328 + 1.26238i
\(898\) −41.8189 4.39534i −1.39551 0.146674i
\(899\) −87.2226 + 9.16746i −2.90904 + 0.305752i
\(900\) 2.96592 9.12818i 0.0988641 0.304273i
\(901\) 29.9178 0.996706
\(902\) −3.27815 + 10.2362i −0.109150 + 0.340828i
\(903\) 37.0382 + 21.3840i 1.23256 + 0.711616i
\(904\) −6.19641 2.01334i −0.206089 0.0669625i
\(905\) −4.11614 5.66538i −0.136825 0.188324i
\(906\) −1.66287 3.73487i −0.0552452 0.124083i
\(907\) 21.6419 + 19.4864i 0.718607 + 0.647036i 0.945027 0.326993i \(-0.106035\pi\)
−0.226420 + 0.974030i \(0.572702\pi\)
\(908\) 20.6963 + 4.39913i 0.686830 + 0.145990i
\(909\) 36.5444 + 3.84097i 1.21210 + 0.127397i
\(910\) −5.33660 + 11.9862i −0.176907 + 0.397339i
\(911\) −43.8313 14.2417i −1.45220 0.471847i −0.526520 0.850163i \(-0.676503\pi\)
−0.925677 + 0.378315i \(0.876503\pi\)
\(912\) 13.2762 + 0.930115i 0.439618 + 0.0307992i
\(913\) 3.36395 + 15.5035i 0.111330 + 0.513090i
\(914\) 14.4531 8.34447i 0.478065 0.276011i
\(915\) −41.0841 + 8.73269i −1.35820 + 0.288694i
\(916\) −0.569440 5.41786i −0.0188148 0.179011i
\(917\) −1.68554 + 16.0368i −0.0556613 + 0.529582i
\(918\) 33.6819 + 7.15931i 1.11167 + 0.236292i
\(919\) −53.4934 + 17.3811i −1.76459 + 0.573349i −0.997659 0.0683856i \(-0.978215\pi\)
−0.766927 + 0.641734i \(0.778215\pi\)
\(920\) −3.64672 2.64950i −0.120229 0.0873514i
\(921\) −18.6015 + 1.95510i −0.612941 + 0.0644227i
\(922\) 21.4234 19.2897i 0.705541 0.635272i
\(923\) 17.9736i 0.591608i
\(924\) 9.04855 10.1353i 0.297675 0.333427i
\(925\) −6.63537 3.83093i −0.218170 0.125960i
\(926\) −27.4537 + 5.83546i −0.902184 + 0.191765i
\(927\) 33.4690 3.51773i 1.09927 0.115538i
\(928\) −1.09286 + 10.3979i −0.0358748 + 0.341326i
\(929\) −33.6337 + 37.3540i −1.10349 + 1.22554i −0.131297 + 0.991343i \(0.541914\pi\)
−0.972188 + 0.234201i \(0.924752\pi\)
\(930\) −14.7684 45.4525i −0.484275 1.49045i
\(931\) 22.3205 + 3.93874i 0.731526 + 0.129087i
\(932\) −2.80446 3.86000i −0.0918630 0.126439i
\(933\) 19.5687 + 92.0637i 0.640652 + 3.01403i
\(934\) 10.7686 + 18.6518i 0.352360 + 0.610306i
\(935\) −0.0888374 21.0090i −0.00290529 0.687066i
\(936\) 16.5662 + 28.6936i 0.541484 + 0.937878i
\(937\) 40.4866 36.4543i 1.32264 1.19091i 0.356085 0.934453i \(-0.384111\pi\)
0.966555 0.256458i \(-0.0825555\pi\)
\(938\) 1.76652 1.28345i 0.0576790 0.0419063i
\(939\) −55.7675 + 76.7574i −1.81990 + 2.50488i
\(940\) −9.26327 1.96897i −0.302134 0.0642207i
\(941\) 44.0483 + 9.36275i 1.43593 + 0.305217i 0.859168 0.511693i \(-0.170982\pi\)
0.576765 + 0.816910i \(0.304315\pi\)
\(942\) 35.1880 48.4321i 1.14649 1.57800i
\(943\) −6.33344 + 4.60151i −0.206245 + 0.149846i
\(944\) 8.83900 7.95867i 0.287685 0.259033i
\(945\) −12.6977 21.9930i −0.413055 0.715432i
\(946\) −20.4706 27.9263i −0.665558 0.907963i
\(947\) −1.39458 2.41548i −0.0453177 0.0784926i 0.842477 0.538733i \(-0.181097\pi\)
−0.887795 + 0.460240i \(0.847763\pi\)
\(948\) 5.08221 + 23.9099i 0.165062 + 0.776558i
\(949\) 7.84355 + 10.7957i 0.254612 + 0.350444i
\(950\) 6.51669 + 1.14995i 0.211429 + 0.0373093i
\(951\) 9.35040 + 28.7776i 0.303207 + 0.933176i
\(952\) −3.04773 + 3.38485i −0.0987776 + 0.109704i
\(953\) 2.35062 22.3647i 0.0761442 0.724464i −0.888136 0.459580i \(-0.848000\pi\)
0.964280 0.264883i \(-0.0853335\pi\)
\(954\) −55.4124 + 5.82408i −1.79404 + 0.188562i
\(955\) −3.19708 + 0.679561i −0.103455 + 0.0219901i
\(956\) −8.87879 5.12617i −0.287161 0.165792i
\(957\) 105.339 + 10.6214i 3.40512 + 0.343341i
\(958\) 12.7020i 0.410384i
\(959\) −10.9172 + 9.82986i −0.352534 + 0.317423i
\(960\) −5.66605 + 0.595525i −0.182871 + 0.0192205i
\(961\) 31.8488 + 23.1395i 1.02738 + 0.746435i
\(962\) 25.1546 8.17321i 0.811016 0.263515i
\(963\) 3.30554 + 0.702614i 0.106520 + 0.0226414i
\(964\) 0.584434 5.56052i 0.0188233 0.179092i
\(965\) 2.87878 + 27.3898i 0.0926712 + 0.881707i
\(966\) 9.67973 2.05749i 0.311440 0.0661987i
\(967\) 20.3073 11.7244i 0.653040 0.377033i −0.136580 0.990629i \(-0.543611\pi\)
0.789620 + 0.613596i \(0.210278\pi\)
\(968\) −10.0108 + 4.55893i −0.321759 + 0.146529i
\(969\) −3.15749 + 45.0691i −0.101433 + 1.44783i
\(970\) −19.9716 6.48918i −0.641251 0.208355i
\(971\) −10.3896 + 23.3354i −0.333418 + 0.748868i 0.666577 + 0.745437i \(0.267759\pi\)
−0.999994 + 0.00343157i \(0.998908\pi\)
\(972\) −6.18562 0.650135i −0.198404 0.0208531i
\(973\) 28.2024 + 5.99460i 0.904127 + 0.192178i
\(974\) 11.2647 + 10.1428i 0.360943 + 0.324995i
\(975\) 9.88021 + 22.1913i 0.316420 + 0.710691i
\(976\) −4.33333 5.96432i −0.138707 0.190913i
\(977\) −20.1110 6.53445i −0.643407 0.209056i −0.0309022 0.999522i \(-0.509838\pi\)
−0.612505 + 0.790467i \(0.709838\pi\)
\(978\) 2.14654 + 1.23930i 0.0686387 + 0.0396286i
\(979\) −22.8411 + 31.7193i −0.730006 + 1.01375i
\(980\) −9.70271 −0.309942
\(981\) −6.18048 + 19.0216i −0.197328 + 0.607312i
\(982\) 5.22755 0.549437i 0.166818 0.0175333i
\(983\) 12.7940 + 1.34470i 0.408065 + 0.0428894i 0.306338 0.951923i \(-0.400896\pi\)
0.101728 + 0.994812i \(0.467563\pi\)
\(984\) −2.05722 + 9.67847i −0.0655819 + 0.308538i
\(985\) −35.5858 32.0416i −1.13386 1.02093i
\(986\) −35.2979 3.70996i −1.12412 0.118149i
\(987\) 16.8202 12.2206i 0.535393 0.388986i
\(988\) −18.0027 + 14.0615i −0.572743 + 0.447355i
\(989\) 25.2196i 0.801937i
\(990\) 4.25434 + 38.8946i 0.135212 + 1.23615i
\(991\) 48.8292 28.1915i 1.55111 0.895534i 0.553058 0.833143i \(-0.313461\pi\)
0.998052 0.0623912i \(-0.0198726\pi\)
\(992\) 6.23389 5.61302i 0.197926 0.178213i
\(993\) 8.00303 + 3.56318i 0.253969 + 0.113074i
\(994\) −4.20379 + 1.87165i −0.133336 + 0.0593650i
\(995\) −3.09558 9.52720i −0.0981364 0.302033i
\(996\) 4.51299 + 13.8896i 0.143000 + 0.440108i
\(997\) 1.38758 + 3.11655i 0.0439450 + 0.0987022i 0.934184 0.356792i \(-0.116129\pi\)
−0.890239 + 0.455494i \(0.849463\pi\)
\(998\) 2.52981 + 24.0695i 0.0800796 + 0.761907i
\(999\) −15.8196 + 48.6876i −0.500509 + 1.54041i
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 418.2.s.a.145.1 80
11.6 odd 10 418.2.s.b.259.1 yes 80
19.8 odd 6 418.2.s.b.255.1 yes 80
209.160 even 30 inner 418.2.s.a.369.1 yes 80
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
418.2.s.a.145.1 80 1.1 even 1 trivial
418.2.s.a.369.1 yes 80 209.160 even 30 inner
418.2.s.b.255.1 yes 80 19.8 odd 6
418.2.s.b.259.1 yes 80 11.6 odd 10