Properties

Label 552.2.t.a.19.13
Level $552$
Weight $2$
Character 552.19
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [552,2,Mod(19,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), 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: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.13
Character \(\chi\) \(=\) 552.19
Dual form 552.2.t.a.523.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.143733 - 1.40689i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.95868 + 0.404434i) q^{4} +(1.74343 + 1.12044i) q^{5} +(-0.534278 - 1.30941i) q^{6} +(-0.425534 - 2.95966i) q^{7} +(0.850523 + 2.69752i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\) \(q+(-0.143733 - 1.40689i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.95868 + 0.404434i) q^{4} +(1.74343 + 1.12044i) q^{5} +(-0.534278 - 1.30941i) q^{6} +(-0.425534 - 2.95966i) q^{7} +(0.850523 + 2.69752i) q^{8} +(0.841254 - 0.540641i) q^{9} +(1.32574 - 2.61386i) q^{10} +(-4.44237 - 2.02876i) q^{11} +(-1.76540 + 0.939876i) q^{12} +(3.52120 + 0.506272i) q^{13} +(-4.10275 + 1.02408i) q^{14} +(1.98848 + 0.583869i) q^{15} +(3.67287 - 1.58432i) q^{16} +(4.85619 - 4.20791i) q^{17} +(-0.881539 - 1.10584i) q^{18} +(-4.32768 - 3.74996i) q^{19} +(-3.86797 - 1.48947i) q^{20} +(-1.24213 - 2.71988i) q^{21} +(-2.21573 + 6.54154i) q^{22} +(3.86907 + 2.83377i) q^{23} +(1.57605 + 2.34863i) q^{24} +(-0.292892 - 0.641344i) q^{25} +(0.206155 - 5.02671i) q^{26} +(0.654861 - 0.755750i) q^{27} +(2.03047 + 5.62492i) q^{28} +(6.04563 - 5.23857i) q^{29} +(0.535630 - 2.88149i) q^{30} +(-0.936165 + 3.18829i) q^{31} +(-2.75687 - 4.93960i) q^{32} +(-4.83400 - 0.695024i) q^{33} +(-6.61806 - 6.22730i) q^{34} +(2.57422 - 5.63675i) q^{35} +(-1.42909 + 1.39917i) q^{36} +(-2.77695 + 1.78464i) q^{37} +(-4.65375 + 6.62757i) q^{38} +(3.52120 - 0.506272i) q^{39} +(-1.53957 + 5.65590i) q^{40} +(-2.80720 - 1.80408i) q^{41} +(-3.64804 + 2.13848i) q^{42} +(1.30598 + 4.44776i) q^{43} +(9.52170 + 2.17705i) q^{44} +2.07242 q^{45} +(3.43069 - 5.85067i) q^{46} -3.08218i q^{47} +(3.07774 - 2.55491i) q^{48} +(-1.86203 + 0.546743i) q^{49} +(-0.860202 + 0.504250i) q^{50} +(3.47397 - 5.40560i) q^{51} +(-7.10166 + 0.432468i) q^{52} +(1.64905 + 11.4694i) q^{53} +(-1.15738 - 0.812691i) q^{54} +(-5.47188 - 8.51442i) q^{55} +(7.62180 - 3.66514i) q^{56} +(-5.20886 - 2.37881i) q^{57} +(-8.23906 - 7.75259i) q^{58} +(-1.34841 + 9.37841i) q^{59} +(-4.13093 - 0.339406i) q^{60} +(-5.25524 - 1.54308i) q^{61} +(4.62013 + 0.858819i) q^{62} +(-1.95809 - 2.25976i) q^{63} +(-6.55322 + 4.58860i) q^{64} +(5.57173 + 4.82793i) q^{65} +(-0.283015 + 6.90080i) q^{66} +(-8.99701 + 4.10879i) q^{67} +(-7.80990 + 10.2060i) q^{68} +(4.51071 + 1.62894i) q^{69} +(-8.30029 - 2.81145i) q^{70} +(4.48533 - 2.04838i) q^{71} +(2.17389 + 1.80947i) q^{72} +(-3.23842 + 3.73734i) q^{73} +(2.90993 + 3.65035i) q^{74} +(-0.461715 - 0.532848i) q^{75} +(9.99316 + 5.59471i) q^{76} +(-4.11406 + 14.0112i) q^{77} +(-1.21838 - 4.88117i) q^{78} +(-0.584217 + 4.06332i) q^{79} +(8.17853 + 1.35306i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-2.13465 + 4.20873i) q^{82} +(9.01602 + 14.0292i) q^{83} +(3.53295 + 4.82502i) q^{84} +(13.1811 - 1.89516i) q^{85} +(6.06979 - 2.47666i) q^{86} +(4.32487 - 6.72963i) q^{87} +(1.69429 - 13.7089i) q^{88} +(-1.19659 - 4.07521i) q^{89} +(-0.297877 - 2.91567i) q^{90} -10.6370i q^{91} +(-8.72436 - 3.98567i) q^{92} +3.32289i q^{93} +(-4.33629 + 0.443012i) q^{94} +(-3.34344 - 11.3867i) q^{95} +(-4.03685 - 3.96281i) q^{96} +(-1.71102 + 2.66239i) q^{97} +(1.03684 + 2.54109i) q^{98} +(-4.83400 + 0.695024i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{15}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.143733 1.40689i −0.101635 0.994822i
\(3\) 0.959493 0.281733i 0.553964 0.162658i
\(4\) −1.95868 + 0.404434i −0.979341 + 0.202217i
\(5\) 1.74343 + 1.12044i 0.779687 + 0.501075i 0.868930 0.494935i \(-0.164808\pi\)
−0.0892425 + 0.996010i \(0.528445\pi\)
\(6\) −0.534278 1.30941i −0.218118 0.534563i
\(7\) −0.425534 2.95966i −0.160837 1.11864i −0.897061 0.441907i \(-0.854302\pi\)
0.736224 0.676738i \(-0.236607\pi\)
\(8\) 0.850523 + 2.69752i 0.300705 + 0.953717i
\(9\) 0.841254 0.540641i 0.280418 0.180214i
\(10\) 1.32574 2.61386i 0.419237 0.826577i
\(11\) −4.44237 2.02876i −1.33943 0.611696i −0.388596 0.921408i \(-0.627040\pi\)
−0.950830 + 0.309713i \(0.899767\pi\)
\(12\) −1.76540 + 0.939876i −0.509627 + 0.271319i
\(13\) 3.52120 + 0.506272i 0.976605 + 0.140415i 0.612094 0.790785i \(-0.290327\pi\)
0.364511 + 0.931199i \(0.381236\pi\)
\(14\) −4.10275 + 1.02408i −1.09651 + 0.273697i
\(15\) 1.98848 + 0.583869i 0.513422 + 0.150754i
\(16\) 3.67287 1.58432i 0.918216 0.396079i
\(17\) 4.85619 4.20791i 1.17780 1.02057i 0.178469 0.983946i \(-0.442886\pi\)
0.999329 0.0366222i \(-0.0116598\pi\)
\(18\) −0.881539 1.10584i −0.207781 0.260650i
\(19\) −4.32768 3.74996i −0.992838 0.860299i −0.00264394 0.999997i \(-0.500842\pi\)
−0.990194 + 0.139697i \(0.955387\pi\)
\(20\) −3.86797 1.48947i −0.864905 0.333057i
\(21\) −1.24213 2.71988i −0.271055 0.593527i
\(22\) −2.21573 + 6.54154i −0.472396 + 1.39466i
\(23\) 3.86907 + 2.83377i 0.806758 + 0.590883i
\(24\) 1.57605 + 2.34863i 0.321710 + 0.479412i
\(25\) −0.292892 0.641344i −0.0585784 0.128269i
\(26\) 0.206155 5.02671i 0.0404304 0.985819i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) 2.03047 + 5.62492i 0.383723 + 1.06301i
\(29\) 6.04563 5.23857i 1.12265 0.972778i 0.122839 0.992427i \(-0.460800\pi\)
0.999807 + 0.0196481i \(0.00625458\pi\)
\(30\) 0.535630 2.88149i 0.0977921 0.526086i
\(31\) −0.936165 + 3.18829i −0.168140 + 0.572633i 0.831708 + 0.555213i \(0.187363\pi\)
−0.999848 + 0.0174198i \(0.994455\pi\)
\(32\) −2.75687 4.93960i −0.487351 0.873206i
\(33\) −4.83400 0.695024i −0.841491 0.120988i
\(34\) −6.61806 6.22730i −1.13499 1.06797i
\(35\) 2.57422 5.63675i 0.435122 0.952785i
\(36\) −1.42909 + 1.39917i −0.238182 + 0.233196i
\(37\) −2.77695 + 1.78464i −0.456527 + 0.293392i −0.748622 0.662997i \(-0.769284\pi\)
0.292095 + 0.956389i \(0.405648\pi\)
\(38\) −4.65375 + 6.62757i −0.754937 + 1.07513i
\(39\) 3.52120 0.506272i 0.563843 0.0810684i
\(40\) −1.53957 + 5.65590i −0.243427 + 0.894277i
\(41\) −2.80720 1.80408i −0.438411 0.281750i 0.302759 0.953067i \(-0.402092\pi\)
−0.741170 + 0.671318i \(0.765729\pi\)
\(42\) −3.64804 + 2.13848i −0.562905 + 0.329974i
\(43\) 1.30598 + 4.44776i 0.199160 + 0.678277i 0.997139 + 0.0755912i \(0.0240844\pi\)
−0.797979 + 0.602685i \(0.794097\pi\)
\(44\) 9.52170 + 2.17705i 1.43545 + 0.328203i
\(45\) 2.07242 0.308939
\(46\) 3.43069 5.85067i 0.505828 0.862634i
\(47\) 3.08218i 0.449582i −0.974407 0.224791i \(-0.927830\pi\)
0.974407 0.224791i \(-0.0721700\pi\)
\(48\) 3.07774 2.55491i 0.444233 0.368769i
\(49\) −1.86203 + 0.546743i −0.266005 + 0.0781061i
\(50\) −0.860202 + 0.504250i −0.121651 + 0.0713117i
\(51\) 3.47397 5.40560i 0.486453 0.756936i
\(52\) −7.10166 + 0.432468i −0.984823 + 0.0599726i
\(53\) 1.64905 + 11.4694i 0.226515 + 1.57545i 0.712623 + 0.701547i \(0.247507\pi\)
−0.486108 + 0.873899i \(0.661584\pi\)
\(54\) −1.15738 0.812691i −0.157500 0.110593i
\(55\) −5.47188 8.51442i −0.737829 1.14808i
\(56\) 7.62180 3.66514i 1.01851 0.489775i
\(57\) −5.20886 2.37881i −0.689931 0.315081i
\(58\) −8.23906 7.75259i −1.08184 1.01796i
\(59\) −1.34841 + 9.37841i −0.175548 + 1.22096i 0.691365 + 0.722506i \(0.257010\pi\)
−0.866913 + 0.498459i \(0.833899\pi\)
\(60\) −4.13093 0.339406i −0.533301 0.0438171i
\(61\) −5.25524 1.54308i −0.672864 0.197571i −0.0725863 0.997362i \(-0.523125\pi\)
−0.600278 + 0.799791i \(0.704943\pi\)
\(62\) 4.62013 + 0.858819i 0.586757 + 0.109070i
\(63\) −1.95809 2.25976i −0.246697 0.284703i
\(64\) −6.55322 + 4.58860i −0.819153 + 0.573575i
\(65\) 5.57173 + 4.82793i 0.691088 + 0.598831i
\(66\) −0.283015 + 6.90080i −0.0348368 + 0.849430i
\(67\) −8.99701 + 4.10879i −1.09916 + 0.501969i −0.880603 0.473855i \(-0.842862\pi\)
−0.218556 + 0.975824i \(0.570135\pi\)
\(68\) −7.80990 + 10.2060i −0.947089 + 1.23765i
\(69\) 4.51071 + 1.62894i 0.543026 + 0.196102i
\(70\) −8.30029 2.81145i −0.992074 0.336033i
\(71\) 4.48533 2.04838i 0.532311 0.243098i −0.131079 0.991372i \(-0.541844\pi\)
0.663390 + 0.748274i \(0.269117\pi\)
\(72\) 2.17389 + 1.80947i 0.256196 + 0.213248i
\(73\) −3.23842 + 3.73734i −0.379029 + 0.437422i −0.912925 0.408128i \(-0.866182\pi\)
0.533896 + 0.845550i \(0.320727\pi\)
\(74\) 2.90993 + 3.65035i 0.338272 + 0.424345i
\(75\) −0.461715 0.532848i −0.0533143 0.0615280i
\(76\) 9.99316 + 5.59471i 1.14629 + 0.641757i
\(77\) −4.11406 + 14.0112i −0.468841 + 1.59673i
\(78\) −1.21838 4.88117i −0.137955 0.552684i
\(79\) −0.584217 + 4.06332i −0.0657295 + 0.457159i 0.930202 + 0.367047i \(0.119631\pi\)
−0.995932 + 0.0901112i \(0.971278\pi\)
\(80\) 8.17853 + 1.35306i 0.914387 + 0.151277i
\(81\) 0.415415 0.909632i 0.0461572 0.101070i
\(82\) −2.13465 + 4.20873i −0.235733 + 0.464776i
\(83\) 9.01602 + 14.0292i 0.989637 + 1.53991i 0.833759 + 0.552129i \(0.186184\pi\)
0.155878 + 0.987776i \(0.450179\pi\)
\(84\) 3.53295 + 4.82502i 0.385476 + 0.526453i
\(85\) 13.1811 1.89516i 1.42969 0.205559i
\(86\) 6.06979 2.47666i 0.654523 0.267065i
\(87\) 4.32487 6.72963i 0.463674 0.721492i
\(88\) 1.69429 13.7089i 0.180612 1.46137i
\(89\) −1.19659 4.07521i −0.126838 0.431971i 0.871448 0.490488i \(-0.163181\pi\)
−0.998286 + 0.0585161i \(0.981363\pi\)
\(90\) −0.297877 2.91567i −0.0313989 0.307339i
\(91\) 10.6370i 1.11506i
\(92\) −8.72436 3.98567i −0.909577 0.415535i
\(93\) 3.32289i 0.344567i
\(94\) −4.33629 + 0.443012i −0.447254 + 0.0456932i
\(95\) −3.34344 11.3867i −0.343029 1.16825i
\(96\) −4.03685 3.96281i −0.412009 0.404453i
\(97\) −1.71102 + 2.66239i −0.173727 + 0.270325i −0.917188 0.398455i \(-0.869547\pi\)
0.743461 + 0.668780i \(0.233183\pi\)
\(98\) 1.03684 + 2.54109i 0.104737 + 0.256689i
\(99\) −4.83400 + 0.695024i −0.485835 + 0.0698525i
\(100\) 0.833064 + 1.13773i 0.0833064 + 0.113773i
\(101\) 8.76593 + 13.6401i 0.872243 + 1.35724i 0.933298 + 0.359102i \(0.116917\pi\)
−0.0610551 + 0.998134i \(0.519447\pi\)
\(102\) −8.10442 4.11053i −0.802457 0.407003i
\(103\) −0.281291 + 0.615941i −0.0277164 + 0.0606905i −0.922984 0.384839i \(-0.874257\pi\)
0.895267 + 0.445529i \(0.146984\pi\)
\(104\) 1.62918 + 9.92910i 0.159754 + 0.973628i
\(105\) 0.881888 6.13366i 0.0860634 0.598584i
\(106\) 15.8992 3.96858i 1.54427 0.385462i
\(107\) 4.51233 15.3676i 0.436224 1.48564i −0.389214 0.921147i \(-0.627253\pi\)
0.825437 0.564494i \(-0.190929\pi\)
\(108\) −0.977012 + 1.74512i −0.0940131 + 0.167924i
\(109\) −5.99850 6.92264i −0.574552 0.663069i 0.391872 0.920020i \(-0.371828\pi\)
−0.966424 + 0.256951i \(0.917282\pi\)
\(110\) −11.1924 + 8.92215i −1.06715 + 0.850693i
\(111\) −2.16167 + 2.49470i −0.205177 + 0.236787i
\(112\) −6.25196 10.1962i −0.590755 0.963454i
\(113\) 11.0914 5.06527i 1.04339 0.476501i 0.181392 0.983411i \(-0.441940\pi\)
0.861999 + 0.506910i \(0.169212\pi\)
\(114\) −2.59804 + 7.67022i −0.243328 + 0.718382i
\(115\) 3.57041 + 9.27555i 0.332942 + 0.864950i
\(116\) −9.72281 + 12.7058i −0.902741 + 1.17970i
\(117\) 3.23593 1.47780i 0.299162 0.136623i
\(118\) 13.3882 + 0.549077i 1.23248 + 0.0505466i
\(119\) −14.5204 12.5820i −1.33109 1.15339i
\(120\) 0.116246 + 5.86055i 0.0106117 + 0.534992i
\(121\) 8.41534 + 9.71182i 0.765031 + 0.882893i
\(122\) −1.41559 + 7.61534i −0.128161 + 0.689460i
\(123\) −3.20175 0.940120i −0.288693 0.0847678i
\(124\) 0.544197 6.62345i 0.0488703 0.594804i
\(125\) 1.68263 11.7030i 0.150499 1.04674i
\(126\) −2.89779 + 3.07963i −0.258156 + 0.274355i
\(127\) 12.4208 + 5.67237i 1.10216 + 0.503342i 0.881584 0.472027i \(-0.156478\pi\)
0.220580 + 0.975369i \(0.429205\pi\)
\(128\) 7.39758 + 8.56013i 0.653860 + 0.756616i
\(129\) 2.50616 + 3.89965i 0.220655 + 0.343345i
\(130\) 5.99153 8.53275i 0.525492 0.748372i
\(131\) 0.159422 + 1.10880i 0.0139288 + 0.0968767i 0.995600 0.0937060i \(-0.0298714\pi\)
−0.981671 + 0.190583i \(0.938962\pi\)
\(132\) 9.74935 0.593704i 0.848572 0.0516753i
\(133\) −9.25701 + 14.4042i −0.802684 + 1.24900i
\(134\) 7.07379 + 12.0672i 0.611083 + 1.04245i
\(135\) 1.98848 0.583869i 0.171141 0.0502515i
\(136\) 15.4812 + 9.52073i 1.32750 + 0.816396i
\(137\) 8.71467i 0.744545i −0.928124 0.372272i \(-0.878579\pi\)
0.928124 0.372272i \(-0.121421\pi\)
\(138\) 1.64340 6.58021i 0.139896 0.560145i
\(139\) 19.9826 1.69490 0.847449 0.530876i \(-0.178137\pi\)
0.847449 + 0.530876i \(0.178137\pi\)
\(140\) −2.76238 + 12.0817i −0.233463 + 1.02109i
\(141\) −0.868351 2.95733i −0.0731283 0.249052i
\(142\) −3.52654 6.01595i −0.295941 0.504847i
\(143\) −14.6154 9.39273i −1.22220 0.785460i
\(144\) 2.23327 3.31851i 0.186105 0.276543i
\(145\) 16.4097 2.35935i 1.36275 0.195934i
\(146\) 5.72350 + 4.01893i 0.473680 + 0.332609i
\(147\) −1.63257 + 1.04919i −0.134652 + 0.0865358i
\(148\) 4.71739 4.61863i 0.387767 0.379649i
\(149\) −7.54858 + 16.5291i −0.618404 + 1.35412i 0.298271 + 0.954481i \(0.403590\pi\)
−0.916675 + 0.399634i \(0.869137\pi\)
\(150\) −0.683295 + 0.726171i −0.0557908 + 0.0592916i
\(151\) −17.3423 2.49345i −1.41130 0.202914i −0.605850 0.795579i \(-0.707167\pi\)
−0.805450 + 0.592664i \(0.798076\pi\)
\(152\) 6.43479 14.8634i 0.521930 1.20558i
\(153\) 1.81032 6.16537i 0.146355 0.498441i
\(154\) 20.3036 + 3.77416i 1.63611 + 0.304130i
\(155\) −5.20442 + 4.50965i −0.418029 + 0.362224i
\(156\) −6.69215 + 2.41572i −0.535801 + 0.193412i
\(157\) −10.4676 + 12.0803i −0.835406 + 0.964110i −0.999751 0.0222928i \(-0.992903\pi\)
0.164345 + 0.986403i \(0.447449\pi\)
\(158\) 5.80061 + 0.237895i 0.461472 + 0.0189259i
\(159\) 4.81356 + 10.5402i 0.381740 + 0.835895i
\(160\) 0.728086 11.7008i 0.0575602 0.925027i
\(161\) 6.74057 12.6570i 0.531232 0.997511i
\(162\) −1.33946 0.453699i −0.105238 0.0356460i
\(163\) 3.15140 + 6.90060i 0.246837 + 0.540497i 0.991978 0.126410i \(-0.0403453\pi\)
−0.745141 + 0.666906i \(0.767618\pi\)
\(164\) 6.22804 + 2.39828i 0.486328 + 0.187275i
\(165\) −7.64902 6.62792i −0.595476 0.515983i
\(166\) 18.4416 14.7010i 1.43135 1.14102i
\(167\) 8.22884 7.13033i 0.636766 0.551761i −0.275530 0.961293i \(-0.588853\pi\)
0.912296 + 0.409531i \(0.134308\pi\)
\(168\) 6.28048 5.66399i 0.484549 0.436986i
\(169\) −0.330877 0.0971542i −0.0254521 0.00747340i
\(170\) −4.56085 18.2720i −0.349802 1.40140i
\(171\) −5.66806 0.814944i −0.433447 0.0623203i
\(172\) −4.35682 8.18356i −0.332205 0.623990i
\(173\) 21.0208 + 9.59986i 1.59818 + 0.729863i 0.997569 0.0696796i \(-0.0221977\pi\)
0.600609 + 0.799543i \(0.294925\pi\)
\(174\) −10.0895 5.11734i −0.764881 0.387945i
\(175\) −1.77352 + 1.13977i −0.134066 + 0.0861588i
\(176\) −19.5304 0.413254i −1.47216 0.0311502i
\(177\) 1.34841 + 9.37841i 0.101353 + 0.704924i
\(178\) −5.56138 + 2.26921i −0.416843 + 0.170085i
\(179\) 2.62407 + 1.68639i 0.196132 + 0.126046i 0.635021 0.772495i \(-0.280991\pi\)
−0.438889 + 0.898541i \(0.644628\pi\)
\(180\) −4.05922 + 0.838159i −0.302556 + 0.0624727i
\(181\) −16.7146 + 4.90786i −1.24239 + 0.364798i −0.835913 0.548863i \(-0.815061\pi\)
−0.406477 + 0.913661i \(0.633243\pi\)
\(182\) −14.9651 + 1.52889i −1.10928 + 0.113329i
\(183\) −5.47710 −0.404879
\(184\) −4.35342 + 12.8471i −0.320939 + 0.947100i
\(185\) −6.84100 −0.502960
\(186\) 4.67494 0.477610i 0.342783 0.0350201i
\(187\) −30.1099 + 8.84105i −2.20185 + 0.646522i
\(188\) 1.24654 + 6.03701i 0.0909133 + 0.440294i
\(189\) −2.51542 1.61657i −0.182970 0.117588i
\(190\) −15.5393 + 6.34050i −1.12734 + 0.459988i
\(191\) 0.883781 + 6.14683i 0.0639481 + 0.444769i 0.996490 + 0.0837080i \(0.0266763\pi\)
−0.932542 + 0.361061i \(0.882415\pi\)
\(192\) −4.99501 + 6.24899i −0.360484 + 0.450982i
\(193\) −5.81720 + 3.73849i −0.418731 + 0.269102i −0.732996 0.680233i \(-0.761879\pi\)
0.314264 + 0.949335i \(0.398242\pi\)
\(194\) 3.99163 + 2.02454i 0.286582 + 0.145353i
\(195\) 6.70622 + 3.06263i 0.480243 + 0.219319i
\(196\) 3.42601 1.82396i 0.244715 0.130283i
\(197\) 3.87107 + 0.556576i 0.275802 + 0.0396544i 0.278828 0.960341i \(-0.410054\pi\)
−0.00302571 + 0.999995i \(0.500963\pi\)
\(198\) 1.67263 + 6.70101i 0.118869 + 0.476220i
\(199\) 9.17517 + 2.69407i 0.650411 + 0.190978i 0.590262 0.807212i \(-0.299024\pi\)
0.0601485 + 0.998189i \(0.480843\pi\)
\(200\) 1.48093 1.33556i 0.104717 0.0944383i
\(201\) −7.47498 + 6.47711i −0.527245 + 0.456860i
\(202\) 17.9301 14.2932i 1.26156 1.00567i
\(203\) −18.0770 15.6638i −1.26876 1.09938i
\(204\) −4.61819 + 11.9928i −0.323338 + 0.839667i
\(205\) −2.87281 6.29058i −0.200646 0.439353i
\(206\) 0.906993 + 0.307214i 0.0631932 + 0.0214046i
\(207\) 4.78693 + 0.292143i 0.332714 + 0.0203054i
\(208\) 13.7350 3.71922i 0.952350 0.257882i
\(209\) 11.6174 + 25.4386i 0.803592 + 1.75962i
\(210\) −8.75615 0.359107i −0.604232 0.0247807i
\(211\) 0.556049 0.641715i 0.0382800 0.0441775i −0.736287 0.676670i \(-0.763423\pi\)
0.774567 + 0.632492i \(0.217968\pi\)
\(212\) −7.86860 21.7980i −0.540418 1.49709i
\(213\) 3.72655 3.22907i 0.255339 0.221252i
\(214\) −22.2691 4.13952i −1.52228 0.282972i
\(215\) −2.70654 + 9.21764i −0.184585 + 0.628638i
\(216\) 2.59562 + 1.12372i 0.176610 + 0.0764593i
\(217\) 9.83460 + 1.41400i 0.667616 + 0.0959887i
\(218\) −8.87721 + 9.43425i −0.601240 + 0.638968i
\(219\) −2.05431 + 4.49832i −0.138818 + 0.303968i
\(220\) 14.1612 + 14.4640i 0.954748 + 0.975164i
\(221\) 19.2299 12.3583i 1.29355 0.831311i
\(222\) 3.82048 + 2.68266i 0.256414 + 0.180049i
\(223\) 11.7114 1.68384i 0.784251 0.112758i 0.261455 0.965216i \(-0.415798\pi\)
0.522796 + 0.852458i \(0.324889\pi\)
\(224\) −13.4464 + 10.2614i −0.898424 + 0.685616i
\(225\) −0.593133 0.381184i −0.0395422 0.0254122i
\(226\) −8.72049 14.8763i −0.580078 0.989559i
\(227\) −0.837530 2.85237i −0.0555888 0.189318i 0.927018 0.375017i \(-0.122363\pi\)
−0.982607 + 0.185699i \(0.940545\pi\)
\(228\) 11.1646 + 2.55268i 0.739392 + 0.169056i
\(229\) 5.68106 0.375415 0.187707 0.982225i \(-0.439894\pi\)
0.187707 + 0.982225i \(0.439894\pi\)
\(230\) 12.5365 6.35638i 0.826632 0.419127i
\(231\) 14.6027i 0.960789i
\(232\) 19.2731 + 11.8527i 1.26534 + 0.778167i
\(233\) −10.6240 + 3.11948i −0.696000 + 0.204364i −0.610549 0.791978i \(-0.709051\pi\)
−0.0854508 + 0.996342i \(0.527233\pi\)
\(234\) −2.54422 4.34019i −0.166321 0.283727i
\(235\) 3.45339 5.37358i 0.225274 0.350534i
\(236\) −1.15184 18.9147i −0.0749785 1.23124i
\(237\) 0.584217 + 4.06332i 0.0379489 + 0.263941i
\(238\) −15.6145 + 22.2371i −1.01214 + 1.44142i
\(239\) −11.5420 17.9597i −0.746589 1.16171i −0.981827 0.189777i \(-0.939223\pi\)
0.235238 0.971938i \(-0.424413\pi\)
\(240\) 8.22844 1.00590i 0.531144 0.0649306i
\(241\) −13.6907 6.25232i −0.881894 0.402748i −0.0776039 0.996984i \(-0.524727\pi\)
−0.804290 + 0.594237i \(0.797454\pi\)
\(242\) 12.4539 13.2354i 0.800567 0.850802i
\(243\) 0.142315 0.989821i 0.00912950 0.0634971i
\(244\) 10.9174 + 0.896998i 0.698916 + 0.0574244i
\(245\) −3.85892 1.13308i −0.246538 0.0723900i
\(246\) −0.862447 + 4.63964i −0.0549876 + 0.295813i
\(247\) −13.3401 15.3953i −0.848812 0.979581i
\(248\) −9.39669 + 0.186386i −0.596691 + 0.0118355i
\(249\) 12.6033 + 10.9208i 0.798701 + 0.692079i
\(250\) −16.7066 0.685172i −1.05662 0.0433341i
\(251\) −15.3176 + 6.99529i −0.966836 + 0.441539i −0.835313 0.549774i \(-0.814714\pi\)
−0.131522 + 0.991313i \(0.541986\pi\)
\(252\) 4.74921 + 3.63423i 0.299172 + 0.228935i
\(253\) −11.4388 20.4381i −0.719152 1.28493i
\(254\) 6.19513 18.2900i 0.388717 1.14761i
\(255\) 12.1133 5.53195i 0.758563 0.346424i
\(256\) 10.9799 11.6380i 0.686243 0.727373i
\(257\) −17.6755 + 20.3986i −1.10257 + 1.27243i −0.143377 + 0.989668i \(0.545796\pi\)
−0.959190 + 0.282762i \(0.908749\pi\)
\(258\) 5.12617 4.08640i 0.319141 0.254408i
\(259\) 6.46360 + 7.45939i 0.401628 + 0.463504i
\(260\) −12.8658 7.20298i −0.797905 0.446710i
\(261\) 2.25373 7.67548i 0.139502 0.475101i
\(262\) 1.53705 0.383662i 0.0949594 0.0237027i
\(263\) 2.46304 17.1308i 0.151877 1.05633i −0.761192 0.648526i \(-0.775386\pi\)
0.913070 0.407804i \(-0.133705\pi\)
\(264\) −2.23658 13.6309i −0.137652 0.838926i
\(265\) −9.97575 + 21.8438i −0.612805 + 1.34186i
\(266\) 21.5956 + 10.9532i 1.32411 + 0.671586i
\(267\) −2.29624 3.57302i −0.140528 0.218665i
\(268\) 15.9605 11.6865i 0.974945 0.713868i
\(269\) −18.0595 + 2.59656i −1.10111 + 0.158315i −0.668823 0.743422i \(-0.733201\pi\)
−0.432284 + 0.901737i \(0.642292\pi\)
\(270\) −1.10725 2.71365i −0.0673851 0.165147i
\(271\) −5.77533 + 8.98658i −0.350826 + 0.545896i −0.971156 0.238445i \(-0.923362\pi\)
0.620330 + 0.784341i \(0.286999\pi\)
\(272\) 11.1695 23.1488i 0.677248 1.40360i
\(273\) −2.99678 10.2061i −0.181374 0.617701i
\(274\) −12.2606 + 1.25259i −0.740689 + 0.0756717i
\(275\) 3.44330i 0.207639i
\(276\) −9.49385 1.36629i −0.571463 0.0822410i
\(277\) 0.513985i 0.0308824i 0.999881 + 0.0154412i \(0.00491528\pi\)
−0.999881 + 0.0154412i \(0.995085\pi\)
\(278\) −2.87216 28.1133i −0.172261 1.68612i
\(279\) 0.936165 + 3.18829i 0.0560468 + 0.190878i
\(280\) 17.3947 + 2.14982i 1.03953 + 0.128476i
\(281\) 0.0323851 0.0503922i 0.00193193 0.00300614i −0.840286 0.542143i \(-0.817613\pi\)
0.842218 + 0.539137i \(0.181249\pi\)
\(282\) −4.03583 + 1.64674i −0.240330 + 0.0980621i
\(283\) 13.1287 1.88762i 0.780419 0.112207i 0.259420 0.965765i \(-0.416469\pi\)
0.520999 + 0.853557i \(0.325560\pi\)
\(284\) −7.95690 + 5.82615i −0.472155 + 0.345719i
\(285\) −6.41601 9.98350i −0.380051 0.591372i
\(286\) −11.1138 + 21.9123i −0.657174 + 1.29570i
\(287\) −4.14489 + 9.07604i −0.244665 + 0.535742i
\(288\) −4.98978 2.66498i −0.294026 0.157035i
\(289\) 3.45669 24.0418i 0.203335 1.41422i
\(290\) −5.67797 22.7475i −0.333422 1.33578i
\(291\) −0.891625 + 3.03660i −0.0522680 + 0.178008i
\(292\) 4.83153 8.62999i 0.282744 0.505032i
\(293\) −4.03392 4.65539i −0.235664 0.271971i 0.625583 0.780158i \(-0.284861\pi\)
−0.861247 + 0.508187i \(0.830316\pi\)
\(294\) 1.71075 + 2.14605i 0.0997731 + 0.125160i
\(295\) −12.8588 + 14.8398i −0.748667 + 0.864008i
\(296\) −7.17595 5.97300i −0.417094 0.347173i
\(297\) −4.44237 + 2.02876i −0.257773 + 0.117721i
\(298\) 24.3396 + 8.24424i 1.40995 + 0.477576i
\(299\) 12.1891 + 11.9371i 0.704915 + 0.690339i
\(300\) 1.11986 + 0.856946i 0.0646549 + 0.0494758i
\(301\) 12.6081 5.75792i 0.726718 0.331881i
\(302\) −1.01534 + 24.7572i −0.0584263 + 1.42462i
\(303\) 12.2537 + 10.6179i 0.703957 + 0.609982i
\(304\) −21.8361 6.91667i −1.25239 0.396698i
\(305\) −7.43324 8.57842i −0.425626 0.491199i
\(306\) −8.93420 1.66075i −0.510734 0.0949386i
\(307\) −6.91581 2.03067i −0.394706 0.115896i 0.0783555 0.996925i \(-0.475033\pi\)
−0.473062 + 0.881029i \(0.656851\pi\)
\(308\) 2.39152 29.1074i 0.136270 1.65855i
\(309\) −0.0963660 + 0.670240i −0.00548207 + 0.0381286i
\(310\) 7.09264 + 6.67386i 0.402835 + 0.379050i
\(311\) −0.531727 0.242832i −0.0301515 0.0137697i 0.400282 0.916392i \(-0.368912\pi\)
−0.430434 + 0.902622i \(0.641639\pi\)
\(312\) 4.36054 + 9.06791i 0.246867 + 0.513369i
\(313\) −12.5131 19.4707i −0.707280 1.10055i −0.989962 0.141336i \(-0.954860\pi\)
0.282681 0.959214i \(-0.408776\pi\)
\(314\) 18.5002 + 12.9904i 1.04402 + 0.733093i
\(315\) −0.881888 6.13366i −0.0496887 0.345593i
\(316\) −0.499050 8.19502i −0.0280738 0.461006i
\(317\) −6.36368 + 9.90208i −0.357420 + 0.556156i −0.972675 0.232172i \(-0.925417\pi\)
0.615255 + 0.788328i \(0.289053\pi\)
\(318\) 14.1371 8.28714i 0.792768 0.464720i
\(319\) −37.4848 + 11.0065i −2.09875 + 0.616247i
\(320\) −16.5664 + 0.657455i −0.926087 + 0.0367528i
\(321\) 16.0164i 0.893946i
\(322\) −18.7758 7.66401i −1.04634 0.427099i
\(323\) −36.7955 −2.04736
\(324\) −0.445779 + 1.94969i −0.0247655 + 0.108316i
\(325\) −0.706637 2.40658i −0.0391971 0.133493i
\(326\) 9.25543 5.42552i 0.512611 0.300492i
\(327\) −7.70585 4.95225i −0.426135 0.273860i
\(328\) 2.47895 9.10688i 0.136877 0.502843i
\(329\) −9.12220 + 1.31157i −0.502923 + 0.0723094i
\(330\) −8.22533 + 11.7140i −0.452790 + 0.644834i
\(331\) 20.8321 13.3880i 1.14504 0.735871i 0.176392 0.984320i \(-0.443557\pi\)
0.968645 + 0.248449i \(0.0799209\pi\)
\(332\) −23.3334 23.8324i −1.28059 1.30797i
\(333\) −1.37127 + 3.00266i −0.0751451 + 0.164545i
\(334\) −11.2143 10.5522i −0.613622 0.577391i
\(335\) −20.2893 2.91717i −1.10852 0.159382i
\(336\) −8.87133 8.02184i −0.483970 0.437627i
\(337\) −0.618094 + 2.10504i −0.0336698 + 0.114669i −0.974613 0.223895i \(-0.928123\pi\)
0.940944 + 0.338563i \(0.109941\pi\)
\(338\) −0.0891273 + 0.479472i −0.00484788 + 0.0260798i
\(339\) 9.21507 7.98490i 0.500494 0.433680i
\(340\) −25.0512 + 9.04292i −1.35859 + 0.490421i
\(341\) 10.6271 12.2643i 0.575489 0.664149i
\(342\) −0.331847 + 8.09147i −0.0179442 + 0.437537i
\(343\) −6.28437 13.7609i −0.339324 0.743016i
\(344\) −10.8871 + 7.30582i −0.586996 + 0.393904i
\(345\) 6.03901 + 7.89392i 0.325129 + 0.424995i
\(346\) 10.4846 30.9537i 0.563653 1.66408i
\(347\) −7.16172 15.6820i −0.384461 0.841853i −0.998612 0.0526644i \(-0.983229\pi\)
0.614151 0.789189i \(-0.289499\pi\)
\(348\) −5.74935 + 14.9303i −0.308197 + 0.800349i
\(349\) 2.68934 + 2.33033i 0.143957 + 0.124740i 0.723863 0.689944i \(-0.242365\pi\)
−0.579905 + 0.814684i \(0.696910\pi\)
\(350\) 1.85845 + 2.33133i 0.0993384 + 0.124615i
\(351\) 2.68851 2.32961i 0.143502 0.124345i
\(352\) 2.22577 + 27.5366i 0.118634 + 1.46771i
\(353\) −21.0951 6.19408i −1.12278 0.329678i −0.332913 0.942957i \(-0.608032\pi\)
−0.789866 + 0.613280i \(0.789850\pi\)
\(354\) 13.0006 3.24506i 0.690973 0.172473i
\(355\) 10.1150 + 1.45431i 0.536847 + 0.0771869i
\(356\) 3.99189 + 7.49810i 0.211570 + 0.397398i
\(357\) −17.4770 7.98149i −0.924982 0.422425i
\(358\) 1.99539 3.93417i 0.105460 0.207927i
\(359\) 8.11644 5.21612i 0.428369 0.275296i −0.308640 0.951179i \(-0.599874\pi\)
0.737009 + 0.675883i \(0.236237\pi\)
\(360\) 1.76264 + 5.59040i 0.0928995 + 0.294640i
\(361\) 1.96266 + 13.6506i 0.103298 + 0.718454i
\(362\) 9.30727 + 22.8102i 0.489180 + 1.19888i
\(363\) 10.8106 + 6.94755i 0.567409 + 0.364652i
\(364\) 4.30196 + 20.8344i 0.225484 + 1.09202i
\(365\) −9.83343 + 2.88736i −0.514705 + 0.151131i
\(366\) 0.787242 + 7.70568i 0.0411498 + 0.402782i
\(367\) 29.3831 1.53378 0.766892 0.641777i \(-0.221802\pi\)
0.766892 + 0.641777i \(0.221802\pi\)
\(368\) 18.7002 + 4.27824i 0.974814 + 0.223018i
\(369\) −3.33692 −0.173713
\(370\) 0.983280 + 9.62453i 0.0511183 + 0.500356i
\(371\) 33.2438 9.76126i 1.72593 0.506780i
\(372\) −1.34389 6.50848i −0.0696774 0.337449i
\(373\) −18.2403 11.7223i −0.944445 0.606958i −0.0247931 0.999693i \(-0.507893\pi\)
−0.919652 + 0.392735i \(0.871529\pi\)
\(374\) 16.7662 + 41.0905i 0.866959 + 2.12474i
\(375\) −1.68263 11.7030i −0.0868907 0.604338i
\(376\) 8.31424 2.62147i 0.428774 0.135192i
\(377\) 23.9400 15.3853i 1.23297 0.792384i
\(378\) −1.91278 + 3.77128i −0.0983828 + 0.193974i
\(379\) 12.3465 + 5.63848i 0.634199 + 0.289629i 0.706456 0.707757i \(-0.250293\pi\)
−0.0722568 + 0.997386i \(0.523020\pi\)
\(380\) 11.1539 + 20.9507i 0.572183 + 1.07475i
\(381\) 13.5157 + 1.94327i 0.692432 + 0.0995566i
\(382\) 8.52089 2.12689i 0.435967 0.108821i
\(383\) 15.9022 + 4.66931i 0.812564 + 0.238590i 0.661511 0.749935i \(-0.269915\pi\)
0.151053 + 0.988526i \(0.451734\pi\)
\(384\) 9.50959 + 6.12925i 0.485284 + 0.312782i
\(385\) −22.8713 + 19.8181i −1.16563 + 1.01002i
\(386\) 6.09577 + 7.64682i 0.310267 + 0.389213i
\(387\) 3.50330 + 3.03563i 0.178083 + 0.154310i
\(388\) 2.27457 5.90677i 0.115474 0.299871i
\(389\) −2.41460 5.28723i −0.122425 0.268073i 0.838490 0.544917i \(-0.183439\pi\)
−0.960915 + 0.276844i \(0.910712\pi\)
\(390\) 3.34488 9.87512i 0.169374 0.500046i
\(391\) 30.7132 2.51938i 1.55323 0.127410i
\(392\) −3.05855 4.55786i −0.154480 0.230206i
\(393\) 0.465351 + 1.01898i 0.0234738 + 0.0514005i
\(394\) 0.226639 5.52617i 0.0114179 0.278405i
\(395\) −5.57123 + 6.42954i −0.280319 + 0.323506i
\(396\) 9.18717 3.31636i 0.461673 0.166654i
\(397\) −10.6291 + 9.21019i −0.533461 + 0.462246i −0.879449 0.475992i \(-0.842089\pi\)
0.345989 + 0.938239i \(0.387543\pi\)
\(398\) 2.47149 13.2957i 0.123884 0.666453i
\(399\) −4.82391 + 16.4287i −0.241497 + 0.822464i
\(400\) −2.09184 1.89154i −0.104592 0.0945769i
\(401\) 29.0230 + 4.17287i 1.44934 + 0.208383i 0.821610 0.570050i \(-0.193076\pi\)
0.627728 + 0.778433i \(0.283985\pi\)
\(402\) 10.1870 + 9.58550i 0.508081 + 0.478082i
\(403\) −4.91056 + 10.7526i −0.244613 + 0.535627i
\(404\) −22.6862 23.1713i −1.12868 1.15281i
\(405\) 1.74343 1.12044i 0.0866319 0.0556750i
\(406\) −19.4390 + 27.6838i −0.964741 + 1.37392i
\(407\) 15.9569 2.29425i 0.790952 0.113722i
\(408\) 17.5364 + 4.77351i 0.868182 + 0.236324i
\(409\) 14.3685 + 9.23409i 0.710478 + 0.456596i 0.845313 0.534272i \(-0.179414\pi\)
−0.134835 + 0.990868i \(0.543050\pi\)
\(410\) −8.43724 + 4.94590i −0.416685 + 0.244260i
\(411\) −2.45521 8.36166i −0.121106 0.412451i
\(412\) 0.301852 1.32020i 0.0148712 0.0650414i
\(413\) 28.3307 1.39406
\(414\) −0.277027 6.77667i −0.0136152 0.333055i
\(415\) 34.5609i 1.69653i
\(416\) −7.20672 18.7890i −0.353338 0.921209i
\(417\) 19.1731 5.62974i 0.938912 0.275689i
\(418\) 34.1195 20.0008i 1.66884 0.978270i
\(419\) −10.0600 + 15.6537i −0.491463 + 0.764732i −0.995067 0.0992027i \(-0.968371\pi\)
0.503604 + 0.863935i \(0.332007\pi\)
\(420\) 0.753327 + 12.3706i 0.0367586 + 0.603621i
\(421\) −4.44754 30.9333i −0.216760 1.50760i −0.749888 0.661564i \(-0.769893\pi\)
0.533128 0.846034i \(-0.321016\pi\)
\(422\) −0.982746 0.690064i −0.0478393 0.0335918i
\(423\) −1.66635 2.59290i −0.0810209 0.126071i
\(424\) −29.5364 + 14.2034i −1.43442 + 0.689776i
\(425\) −4.12106 1.88202i −0.199901 0.0912915i
\(426\) −5.07858 4.77872i −0.246058 0.231530i
\(427\) −2.33069 + 16.2103i −0.112790 + 0.784473i
\(428\) −2.62304 + 31.9252i −0.126789 + 1.54316i
\(429\) −16.6696 4.89463i −0.804816 0.236315i
\(430\) 13.3572 + 2.48293i 0.644143 + 0.119737i
\(431\) 23.5220 + 27.1459i 1.13302 + 1.30757i 0.945615 + 0.325288i \(0.105461\pi\)
0.187402 + 0.982283i \(0.439993\pi\)
\(432\) 1.20787 3.81327i 0.0581136 0.183466i
\(433\) −14.1524 12.2631i −0.680120 0.589327i 0.244761 0.969583i \(-0.421290\pi\)
−0.924881 + 0.380256i \(0.875836\pi\)
\(434\) 0.575785 14.0394i 0.0276386 0.673915i
\(435\) 15.0802 6.88692i 0.723042 0.330202i
\(436\) 14.5489 + 11.1332i 0.696766 + 0.533186i
\(437\) −6.11759 26.7725i −0.292644 1.28070i
\(438\) 6.62392 + 2.24364i 0.316503 + 0.107205i
\(439\) −1.29769 + 0.592635i −0.0619354 + 0.0282849i −0.446142 0.894962i \(-0.647202\pi\)
0.384207 + 0.923247i \(0.374475\pi\)
\(440\) 18.3138 22.0022i 0.873078 1.04891i
\(441\) −1.27085 + 1.46664i −0.0605167 + 0.0698400i
\(442\) −20.1508 25.2781i −0.958476 1.20236i
\(443\) 11.2119 + 12.9392i 0.532694 + 0.614762i 0.956763 0.290868i \(-0.0939441\pi\)
−0.424069 + 0.905630i \(0.639399\pi\)
\(444\) 3.22508 5.76058i 0.153056 0.273385i
\(445\) 2.47984 8.44556i 0.117556 0.400358i
\(446\) −4.05229 16.2346i −0.191882 0.768730i
\(447\) −2.58603 + 17.9862i −0.122315 + 0.850719i
\(448\) 16.3693 + 17.4427i 0.773377 + 0.824089i
\(449\) −5.80071 + 12.7018i −0.273752 + 0.599434i −0.995713 0.0925004i \(-0.970514\pi\)
0.721960 + 0.691935i \(0.243241\pi\)
\(450\) −0.451030 + 0.889262i −0.0212618 + 0.0419202i
\(451\) 8.81058 + 13.7095i 0.414874 + 0.645557i
\(452\) −19.6759 + 14.4070i −0.925479 + 0.677648i
\(453\) −17.3423 + 2.49345i −0.814814 + 0.117153i
\(454\) −3.89259 + 1.58829i −0.182688 + 0.0745423i
\(455\) 11.9181 18.5449i 0.558727 0.869397i
\(456\) 1.98663 16.0742i 0.0930322 0.752746i
\(457\) −6.80609 23.1794i −0.318376 1.08429i −0.950836 0.309695i \(-0.899773\pi\)
0.632460 0.774593i \(-0.282045\pi\)
\(458\) −0.816558 7.99263i −0.0381552 0.373471i
\(459\) 6.42565i 0.299924i
\(460\) −10.7446 16.7239i −0.500972 0.779754i
\(461\) 3.93439i 0.183243i 0.995794 + 0.0916215i \(0.0292050\pi\)
−0.995794 + 0.0916215i \(0.970795\pi\)
\(462\) 20.5444 2.09890i 0.955813 0.0976496i
\(463\) 10.1174 + 34.4566i 0.470193 + 1.60133i 0.763832 + 0.645415i \(0.223316\pi\)
−0.293638 + 0.955917i \(0.594866\pi\)
\(464\) 13.9053 28.8188i 0.645535 1.33788i
\(465\) −3.72309 + 5.79323i −0.172654 + 0.268655i
\(466\) 5.91579 + 14.4984i 0.274044 + 0.671625i
\(467\) 5.65761 0.813442i 0.261803 0.0376416i −0.0101634 0.999948i \(-0.503235\pi\)
0.271966 + 0.962307i \(0.412326\pi\)
\(468\) −5.74049 + 4.20326i −0.265354 + 0.194296i
\(469\) 15.9892 + 24.8796i 0.738311 + 1.14883i
\(470\) −8.05641 4.08618i −0.371614 0.188481i
\(471\) −6.64019 + 14.5400i −0.305964 + 0.669968i
\(472\) −26.4453 + 4.33918i −1.21724 + 0.199727i
\(473\) 3.22180 22.4081i 0.148139 1.03033i
\(474\) 5.63267 1.40596i 0.258717 0.0645780i
\(475\) −1.13747 + 3.87387i −0.0521907 + 0.177745i
\(476\) 33.5295 + 18.7716i 1.53682 + 0.860396i
\(477\) 7.58811 + 8.75714i 0.347436 + 0.400962i
\(478\) −23.6083 + 18.8197i −1.07982 + 0.860794i
\(479\) −16.4977 + 19.0394i −0.753800 + 0.869931i −0.994931 0.100561i \(-0.967936\pi\)
0.241131 + 0.970493i \(0.422482\pi\)
\(480\) −2.59789 11.4319i −0.118577 0.521794i
\(481\) −10.6817 + 4.87817i −0.487044 + 0.222425i
\(482\) −6.82853 + 20.1600i −0.311031 + 0.918261i
\(483\) 2.90164 14.0433i 0.132029 0.638994i
\(484\) −20.4108 15.6189i −0.927762 0.709950i
\(485\) −5.96609 + 2.72462i −0.270906 + 0.123719i
\(486\) −1.41303 0.0579510i −0.0640961 0.00262871i
\(487\) 30.6602 + 26.5672i 1.38934 + 1.20387i 0.952576 + 0.304300i \(0.0984226\pi\)
0.436769 + 0.899574i \(0.356123\pi\)
\(488\) −0.307219 15.4885i −0.0139072 0.701133i
\(489\) 4.96787 + 5.73323i 0.224655 + 0.259266i
\(490\) −1.03947 + 5.59195i −0.0469583 + 0.252618i
\(491\) −10.2830 3.01937i −0.464066 0.136262i 0.0413374 0.999145i \(-0.486838\pi\)
−0.505403 + 0.862883i \(0.668656\pi\)
\(492\) 6.65143 + 0.546496i 0.299870 + 0.0246379i
\(493\) 7.31529 50.8790i 0.329464 2.29147i
\(494\) −19.7421 + 20.9809i −0.888240 + 0.943976i
\(495\) −9.20648 4.20446i −0.413801 0.188976i
\(496\) 1.61284 + 13.1933i 0.0724188 + 0.592398i
\(497\) −7.97117 12.4034i −0.357556 0.556368i
\(498\) 13.5529 19.3011i 0.607319 0.864905i
\(499\) −2.84653 19.7980i −0.127428 0.886282i −0.948797 0.315885i \(-0.897699\pi\)
0.821369 0.570397i \(-0.193211\pi\)
\(500\) 1.43734 + 23.6029i 0.0642798 + 1.05555i
\(501\) 5.88667 9.15983i 0.262997 0.409231i
\(502\) 12.0433 + 20.5447i 0.537517 + 0.916953i
\(503\) −22.6118 + 6.63944i −1.00821 + 0.296038i −0.743822 0.668378i \(-0.766989\pi\)
−0.264390 + 0.964416i \(0.585171\pi\)
\(504\) 4.43034 7.20397i 0.197343 0.320890i
\(505\) 33.6022i 1.49528i
\(506\) −27.1101 + 19.0308i −1.20519 + 0.846022i
\(507\) −0.344845 −0.0153151
\(508\) −26.6224 6.08699i −1.18118 0.270066i
\(509\) 5.61620 + 19.1270i 0.248934 + 0.847790i 0.985245 + 0.171148i \(0.0547475\pi\)
−0.736312 + 0.676642i \(0.763434\pi\)
\(510\) −9.52393 16.2469i −0.421727 0.719426i
\(511\) 12.4393 + 7.99425i 0.550282 + 0.353645i
\(512\) −17.9515 13.7747i −0.793352 0.608763i
\(513\) −5.66806 + 0.814944i −0.250251 + 0.0359806i
\(514\) 31.2392 + 21.9355i 1.37790 + 0.967534i
\(515\) −1.18054 + 0.758684i −0.0520206 + 0.0334316i
\(516\) −6.48592 6.62461i −0.285527 0.291632i
\(517\) −6.25302 + 13.6922i −0.275008 + 0.602183i
\(518\) 9.56551 10.1657i 0.420284 0.446657i
\(519\) 22.8739 + 3.28876i 1.00405 + 0.144361i
\(520\) −8.28456 + 19.1361i −0.363302 + 0.839175i
\(521\) 7.22525 24.6069i 0.316544 1.07805i −0.635503 0.772098i \(-0.719207\pi\)
0.952047 0.305952i \(-0.0989746\pi\)
\(522\) −11.1225 2.06752i −0.486819 0.0904930i
\(523\) 24.1952 20.9652i 1.05798 0.916745i 0.0612967 0.998120i \(-0.480476\pi\)
0.996684 + 0.0813744i \(0.0259309\pi\)
\(524\) −0.760696 2.10732i −0.0332311 0.0920587i
\(525\) −1.38057 + 1.59326i −0.0602531 + 0.0695357i
\(526\) −24.4552 1.00296i −1.06630 0.0437309i
\(527\) 8.86983 + 19.4222i 0.386376 + 0.846045i
\(528\) −18.8558 + 5.10585i −0.820591 + 0.222204i
\(529\) 6.93945 + 21.9282i 0.301715 + 0.953398i
\(530\) 32.1657 + 10.8951i 1.39719 + 0.473253i
\(531\) 3.93599 + 8.61863i 0.170808 + 0.374017i
\(532\) 12.3060 31.9571i 0.533532 1.38551i
\(533\) −8.97135 7.77372i −0.388592 0.336717i
\(534\) −4.69680 + 3.74412i −0.203250 + 0.162024i
\(535\) 25.0854 21.7366i 1.08454 0.939755i
\(536\) −18.7357 20.7750i −0.809259 0.897342i
\(537\) 2.99289 + 0.878791i 0.129153 + 0.0379226i
\(538\) 6.24883 + 25.0345i 0.269406 + 1.07932i
\(539\) 9.38106 + 1.34879i 0.404071 + 0.0580966i
\(540\) −3.65865 + 1.94782i −0.157443 + 0.0838209i
\(541\) 8.58717 + 3.92163i 0.369191 + 0.168604i 0.591367 0.806403i \(-0.298589\pi\)
−0.222176 + 0.975007i \(0.571316\pi\)
\(542\) 13.4732 + 6.83358i 0.578725 + 0.293527i
\(543\) −14.6549 + 9.41812i −0.628901 + 0.404170i
\(544\) −34.1733 12.3869i −1.46517 0.531086i
\(545\) −2.70161 18.7901i −0.115724 0.804880i
\(546\) −13.9281 + 5.68310i −0.596069 + 0.243214i
\(547\) −25.4139 16.3325i −1.08662 0.698327i −0.130541 0.991443i \(-0.541672\pi\)
−0.956077 + 0.293116i \(0.905308\pi\)
\(548\) 3.52451 + 17.0693i 0.150560 + 0.729163i
\(549\) −5.25524 + 1.54308i −0.224288 + 0.0658569i
\(550\) 4.84435 0.494917i 0.206564 0.0211033i
\(551\) −45.8080 −1.95149
\(552\) −0.557637 + 13.5532i −0.0237346 + 0.576862i
\(553\) 12.2746 0.521970
\(554\) 0.723121 0.0738769i 0.0307225 0.00313873i
\(555\) −6.56389 + 1.92733i −0.278622 + 0.0818107i
\(556\) −39.1395 + 8.08163i −1.65988 + 0.342738i
\(557\) 6.46229 + 4.15306i 0.273816 + 0.175971i 0.670341 0.742053i \(-0.266148\pi\)
−0.396525 + 0.918024i \(0.629784\pi\)
\(558\) 4.35101 1.77535i 0.184193 0.0751564i
\(559\) 2.34684 + 16.3226i 0.0992607 + 0.690373i
\(560\) 0.524362 24.7814i 0.0221583 1.04721i
\(561\) −26.3994 + 16.9659i −1.11458 + 0.716299i
\(562\) −0.0755511 0.0383192i −0.00318693 0.00161640i
\(563\) −22.3511 10.2074i −0.941985 0.430190i −0.115600 0.993296i \(-0.536879\pi\)
−0.826385 + 0.563106i \(0.809606\pi\)
\(564\) 2.89687 + 5.44128i 0.121980 + 0.229119i
\(565\) 25.0124 + 3.59625i 1.05228 + 0.151295i
\(566\) −4.54270 18.1993i −0.190944 0.764973i
\(567\) −2.86897 0.842406i −0.120485 0.0353777i
\(568\) 9.34043 + 10.3571i 0.391916 + 0.434573i
\(569\) −4.68830 + 4.06243i −0.196544 + 0.170306i −0.747573 0.664180i \(-0.768781\pi\)
0.551029 + 0.834486i \(0.314235\pi\)
\(570\) −13.1235 + 10.4616i −0.549683 + 0.438187i
\(571\) −5.16009 4.47125i −0.215943 0.187116i 0.540171 0.841555i \(-0.318359\pi\)
−0.756115 + 0.654439i \(0.772905\pi\)
\(572\) 32.4256 + 12.4864i 1.35578 + 0.522083i
\(573\) 2.57974 + 5.64885i 0.107770 + 0.235984i
\(574\) 13.3648 + 4.52687i 0.557834 + 0.188948i
\(575\) 0.684203 3.31140i 0.0285333 0.138095i
\(576\) −3.03213 + 7.40312i −0.126339 + 0.308463i
\(577\) −9.10450 19.9361i −0.379025 0.829950i −0.998973 0.0453068i \(-0.985573\pi\)
0.619948 0.784643i \(-0.287154\pi\)
\(578\) −34.3210 1.40757i −1.42757 0.0585473i
\(579\) −4.52831 + 5.22595i −0.188190 + 0.217183i
\(580\) −31.1871 + 11.2578i −1.29497 + 0.467457i
\(581\) 37.6850 32.6542i 1.56344 1.35473i
\(582\) 4.40031 + 0.817958i 0.182399 + 0.0339055i
\(583\) 15.9430 54.2970i 0.660293 2.24875i
\(584\) −12.8359 5.55702i −0.531153 0.229951i
\(585\) 7.29742 + 1.04921i 0.301711 + 0.0433795i
\(586\) −5.96981 + 6.34441i −0.246611 + 0.262085i
\(587\) 6.94124 15.1992i 0.286496 0.627338i −0.710592 0.703605i \(-0.751573\pi\)
0.997087 + 0.0762665i \(0.0243000\pi\)
\(588\) 2.77336 2.71530i 0.114372 0.111977i
\(589\) 16.0074 10.2873i 0.659572 0.423881i
\(590\) 22.7262 + 15.9579i 0.935625 + 0.656977i
\(591\) 3.87107 0.556576i 0.159235 0.0228945i
\(592\) −7.37193 + 10.9543i −0.302984 + 0.450219i
\(593\) 32.3113 + 20.7652i 1.32687 + 0.852725i 0.995860 0.0909031i \(-0.0289754\pi\)
0.331007 + 0.943628i \(0.392612\pi\)
\(594\) 3.49277 + 5.95833i 0.143310 + 0.244473i
\(595\) −11.2181 38.2052i −0.459895 1.56626i
\(596\) 8.10033 35.4281i 0.331803 1.45119i
\(597\) 9.56252 0.391368
\(598\) 15.0422 18.8645i 0.615121 0.771427i
\(599\) 33.6028i 1.37297i −0.727143 0.686486i \(-0.759152\pi\)
0.727143 0.686486i \(-0.240848\pi\)
\(600\) 1.04467 1.69869i 0.0426484 0.0693485i
\(601\) 34.9519 10.2628i 1.42572 0.418629i 0.524284 0.851543i \(-0.324333\pi\)
0.901435 + 0.432915i \(0.142515\pi\)
\(602\) −9.91297 16.9106i −0.404023 0.689225i
\(603\) −5.34738 + 8.32069i −0.217762 + 0.338845i
\(604\) 34.9766 2.12996i 1.42318 0.0866669i
\(605\) 3.79011 + 26.3608i 0.154090 + 1.07172i
\(606\) 13.1769 18.7658i 0.535277 0.762307i
\(607\) −7.84439 12.2061i −0.318394 0.495430i 0.644759 0.764386i \(-0.276958\pi\)
−0.963153 + 0.268956i \(0.913321\pi\)
\(608\) −6.59242 + 31.7152i −0.267358 + 1.28622i
\(609\) −21.7578 9.93643i −0.881669 0.402645i
\(610\) −11.0005 + 11.6908i −0.445397 + 0.473345i
\(611\) 1.56042 10.8530i 0.0631279 0.439064i
\(612\) −1.05234 + 12.8081i −0.0425385 + 0.517739i
\(613\) −34.4285 10.1091i −1.39055 0.408304i −0.501125 0.865375i \(-0.667080\pi\)
−0.889430 + 0.457071i \(0.848898\pi\)
\(614\) −1.86289 + 10.0217i −0.0751801 + 0.404441i
\(615\) −4.52870 5.22640i −0.182615 0.210749i
\(616\) −41.2946 + 0.819090i −1.66381 + 0.0330021i
\(617\) 10.4470 + 9.05242i 0.420582 + 0.364437i 0.839290 0.543685i \(-0.182971\pi\)
−0.418707 + 0.908121i \(0.637517\pi\)
\(618\) 0.956805 + 0.0392405i 0.0384884 + 0.00157848i
\(619\) −9.87571 + 4.51009i −0.396938 + 0.181276i −0.603876 0.797079i \(-0.706378\pi\)
0.206937 + 0.978354i \(0.433650\pi\)
\(620\) 8.36994 10.9378i 0.336145 0.439273i
\(621\) 4.67533 1.06832i 0.187614 0.0428703i
\(622\) −0.265211 + 0.782985i −0.0106340 + 0.0313948i
\(623\) −11.5520 + 5.27564i −0.462822 + 0.211364i
\(624\) 12.1308 7.43816i 0.485621 0.297765i
\(625\) 13.7374 15.8538i 0.549496 0.634152i
\(626\) −25.5946 + 20.4031i −1.02297 + 0.815472i
\(627\) 18.3137 + 21.1351i 0.731378 + 0.844055i
\(628\) 15.6170 27.8949i 0.623188 1.11313i
\(629\) −5.97579 + 20.3517i −0.238270 + 0.811474i
\(630\) −8.50263 + 2.12233i −0.338753 + 0.0845557i
\(631\) −4.38064 + 30.4680i −0.174391 + 1.21291i 0.695082 + 0.718931i \(0.255368\pi\)
−0.869472 + 0.493982i \(0.835541\pi\)
\(632\) −11.4578 + 1.88001i −0.455765 + 0.0747827i
\(633\) 0.352733 0.772378i 0.0140199 0.0306993i
\(634\) 14.8458 + 7.52974i 0.589603 + 0.299044i
\(635\) 15.2992 + 23.8061i 0.607132 + 0.944716i
\(636\) −13.6911 18.6982i −0.542886 0.741432i
\(637\) −6.83339 + 0.982494i −0.270749 + 0.0389278i
\(638\) 20.8728 + 51.1550i 0.826362 + 2.02525i
\(639\) 2.66586 4.14816i 0.105460 0.164099i
\(640\) 3.30610 + 23.2125i 0.130685 + 0.917556i
\(641\) −8.58253 29.2294i −0.338990 1.15449i −0.935924 0.352203i \(-0.885433\pi\)
0.596934 0.802290i \(-0.296385\pi\)
\(642\) −22.5333 + 2.30209i −0.889317 + 0.0908561i
\(643\) 13.7022i 0.540363i −0.962809 0.270182i \(-0.912916\pi\)
0.962809 0.270182i \(-0.0870838\pi\)
\(644\) −8.08371 + 27.5171i −0.318543 + 1.08433i
\(645\) 9.60678i 0.378267i
\(646\) 5.28874 + 51.7672i 0.208083 + 2.03675i
\(647\) −7.69936 26.2216i −0.302693 1.03088i −0.960636 0.277810i \(-0.910391\pi\)
0.657943 0.753068i \(-0.271427\pi\)
\(648\) 2.80707 + 0.346927i 0.110272 + 0.0136286i
\(649\) 25.0167 38.9268i 0.981993 1.52801i
\(650\) −3.28423 + 1.34007i −0.128818 + 0.0525617i
\(651\) 9.83460 1.41400i 0.385448 0.0554191i
\(652\) −8.96343 12.2415i −0.351035 0.479416i
\(653\) −26.9638 41.9565i −1.05518 1.64189i −0.711328 0.702861i \(-0.751906\pi\)
−0.343848 0.939025i \(-0.611731\pi\)
\(654\) −5.85969 + 11.5531i −0.229132 + 0.451762i
\(655\) −0.964404 + 2.11175i −0.0376824 + 0.0825129i
\(656\) −13.1687 2.17864i −0.514151 0.0850617i
\(657\) −0.703777 + 4.89487i −0.0274569 + 0.190967i
\(658\) 3.15641 + 12.6454i 0.123049 + 0.492970i
\(659\) −2.25047 + 7.66439i −0.0876658 + 0.298562i −0.991642 0.129021i \(-0.958817\pi\)
0.903976 + 0.427583i \(0.140635\pi\)
\(660\) 17.6626 + 9.88845i 0.687514 + 0.384907i
\(661\) 28.5931 + 32.9981i 1.11214 + 1.28348i 0.955229 + 0.295866i \(0.0956083\pi\)
0.156912 + 0.987613i \(0.449846\pi\)
\(662\) −21.8297 27.3842i −0.848436 1.06432i
\(663\) 14.9692 17.2754i 0.581357 0.670922i
\(664\) −30.1757 + 36.2531i −1.17104 + 1.40689i
\(665\) −32.2780 + 14.7409i −1.25169 + 0.571626i
\(666\) 4.42152 + 1.49764i 0.171330 + 0.0580325i
\(667\) 38.2359 3.13646i 1.48050 0.121444i
\(668\) −13.2339 + 17.2941i −0.512036 + 0.669127i
\(669\) 10.7626 4.91511i 0.416105 0.190029i
\(670\) −1.18788 + 28.9642i −0.0458917 + 1.11898i
\(671\) 20.2152 + 17.5166i 0.780399 + 0.676220i
\(672\) −10.0107 + 13.6340i −0.386173 + 0.525943i
\(673\) 8.85444 + 10.2186i 0.341314 + 0.393897i 0.900293 0.435285i \(-0.143352\pi\)
−0.558979 + 0.829182i \(0.688807\pi\)
\(674\) 3.05040 + 0.567027i 0.117497 + 0.0218411i
\(675\) −0.676499 0.198638i −0.0260385 0.00764558i
\(676\) 0.687375 + 0.0564762i 0.0264375 + 0.00217216i
\(677\) −2.99319 + 20.8181i −0.115037 + 0.800103i 0.847857 + 0.530225i \(0.177893\pi\)
−0.962894 + 0.269878i \(0.913017\pi\)
\(678\) −12.5584 11.8169i −0.482302 0.453825i
\(679\) 8.60786 + 3.93108i 0.330339 + 0.150861i
\(680\) 16.3231 + 33.9445i 0.625962 + 1.30171i
\(681\) −1.60721 2.50087i −0.0615884 0.0958334i
\(682\) −18.7820 13.1883i −0.719200 0.505008i
\(683\) 3.39115 + 23.5860i 0.129759 + 0.902493i 0.945858 + 0.324581i \(0.105223\pi\)
−0.816099 + 0.577912i \(0.803868\pi\)
\(684\) 11.4315 0.696142i 0.437095 0.0266177i
\(685\) 9.76424 15.1935i 0.373072 0.580512i
\(686\) −18.4567 + 10.8193i −0.704682 + 0.413083i
\(687\) 5.45094 1.60054i 0.207966 0.0610644i
\(688\) 11.8433 + 14.2669i 0.451523 + 0.543922i
\(689\) 41.2210i 1.57039i
\(690\) 10.2379 9.63084i 0.389749 0.366640i
\(691\) −35.6242 −1.35521 −0.677605 0.735426i \(-0.736982\pi\)
−0.677605 + 0.735426i \(0.736982\pi\)
\(692\) −45.0555 10.3015i −1.71275 0.391606i
\(693\) 4.11406 + 14.0112i 0.156280 + 0.532242i
\(694\) −21.0335 + 12.3298i −0.798419 + 0.468032i
\(695\) 34.8383 + 22.3892i 1.32149 + 0.849271i
\(696\) 21.8317 + 5.94272i 0.827528 + 0.225258i
\(697\) −21.2237 + 3.05150i −0.803904 + 0.115584i
\(698\) 2.89197 4.11856i 0.109463 0.155890i
\(699\) −9.31477 + 5.98624i −0.352317 + 0.226420i
\(700\) 3.01280 2.94973i 0.113873 0.111489i
\(701\) −12.6052 + 27.6015i −0.476092 + 1.04250i 0.507428 + 0.861694i \(0.330596\pi\)
−0.983520 + 0.180802i \(0.942131\pi\)
\(702\) −3.66393 3.44760i −0.138286 0.130121i
\(703\) 18.7101 + 2.69010i 0.705663 + 0.101459i
\(704\) 38.4211 7.08935i 1.44805 0.267190i
\(705\) 1.79959 6.12884i 0.0677765 0.230826i
\(706\) −5.68232 + 30.5688i −0.213857 + 1.15047i
\(707\) 36.6397 31.7485i 1.37798 1.19402i
\(708\) −6.43406 17.8240i −0.241807 0.669866i
\(709\) 2.00652 2.31565i 0.0753565 0.0869661i −0.716819 0.697259i \(-0.754403\pi\)
0.792176 + 0.610293i \(0.208948\pi\)
\(710\) 0.592200 14.4397i 0.0222249 0.541912i
\(711\) 1.70532 + 3.73413i 0.0639545 + 0.140041i
\(712\) 9.97523 6.69388i 0.373838 0.250864i
\(713\) −12.6570 + 9.68283i −0.474007 + 0.362625i
\(714\) −8.71705 + 25.7355i −0.326227 + 0.963126i
\(715\) −14.9570 32.7512i −0.559359 1.22483i
\(716\) −5.82175 2.24183i −0.217569 0.0837811i
\(717\) −16.1343 13.9804i −0.602546 0.522109i
\(718\) −8.50511 10.6692i −0.317408 0.398171i
\(719\) 3.20131 2.77395i 0.119389 0.103451i −0.593120 0.805114i \(-0.702104\pi\)
0.712509 + 0.701663i \(0.247559\pi\)
\(720\) 7.61174 3.28337i 0.283673 0.122364i
\(721\) 1.94267 + 0.570420i 0.0723489 + 0.0212436i
\(722\) 18.9228 4.72331i 0.704235 0.175783i
\(723\) −14.8976 2.14195i −0.554047 0.0796600i
\(724\) 30.7537 16.3729i 1.14295 0.608494i
\(725\) −5.13045 2.34300i −0.190540 0.0870167i
\(726\) 8.22059 16.2079i 0.305095 0.601532i
\(727\) 10.1142 6.50000i 0.375115 0.241072i −0.339475 0.940615i \(-0.610250\pi\)
0.714590 + 0.699543i \(0.246613\pi\)
\(728\) 28.6934 9.04699i 1.06345 0.335304i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 5.47559 + 13.4195i 0.202661 + 0.496680i
\(731\) 25.0578 + 16.1037i 0.926797 + 0.595617i
\(732\) 10.7279 2.21513i 0.396514 0.0818735i
\(733\) 1.27684 0.374914i 0.0471611 0.0138478i −0.258067 0.966127i \(-0.583085\pi\)
0.305228 + 0.952279i \(0.401267\pi\)
\(734\) −4.22333 41.3387i −0.155886 1.52584i
\(735\) −4.02184 −0.148348
\(736\) 3.33117 26.9240i 0.122789 0.992433i
\(737\) 48.3038 1.77930
\(738\) 0.479627 + 4.69469i 0.0176553 + 0.172814i
\(739\) −5.15679 + 1.51417i −0.189696 + 0.0556997i −0.375201 0.926944i \(-0.622426\pi\)
0.185505 + 0.982643i \(0.440608\pi\)
\(740\) 13.3993 2.76673i 0.492569 0.101707i
\(741\) −17.1371 11.0134i −0.629548 0.404586i
\(742\) −18.5113 45.3674i −0.679570 1.66549i
\(743\) −0.618370 4.30086i −0.0226858 0.157783i 0.975330 0.220754i \(-0.0708517\pi\)
−0.998015 + 0.0629705i \(0.979943\pi\)
\(744\) −8.96355 + 2.82619i −0.328620 + 0.103613i
\(745\) −31.6802 + 20.3597i −1.16067 + 0.745920i
\(746\) −13.8703 + 27.3469i −0.507826 + 1.00124i
\(747\) 15.1695 + 6.92769i 0.555024 + 0.253471i
\(748\) 55.4000 29.4943i 2.02562 1.07842i
\(749\) −47.4029 6.81551i −1.73207 0.249033i
\(750\) −16.2229 + 4.04938i −0.592378 + 0.147863i
\(751\) −33.5218 9.84290i −1.22323 0.359173i −0.394539 0.918879i \(-0.629096\pi\)
−0.828691 + 0.559707i \(0.810914\pi\)
\(752\) −4.88315 11.3204i −0.178070 0.412814i
\(753\) −12.7263 + 11.0274i −0.463772 + 0.401860i
\(754\) −25.0864 31.4696i −0.913594 1.14606i
\(755\) −27.4415 23.7782i −0.998698 0.865376i
\(756\) 5.58071 + 2.14901i 0.202968 + 0.0781588i
\(757\) 9.72798 + 21.3013i 0.353570 + 0.774209i 0.999937 + 0.0111835i \(0.00355989\pi\)
−0.646368 + 0.763026i \(0.723713\pi\)
\(758\) 6.15811 18.1807i 0.223673 0.660351i
\(759\) −16.7335 16.3875i −0.607389 0.594830i
\(760\) 27.8722 18.7036i 1.01103 0.678452i
\(761\) −0.404206 0.885088i −0.0146525 0.0320844i 0.902164 0.431393i \(-0.141978\pi\)
−0.916817 + 0.399308i \(0.869250\pi\)
\(762\) 0.791304 19.2945i 0.0286659 0.698965i
\(763\) −17.9361 + 20.6993i −0.649329 + 0.749366i
\(764\) −4.21703 11.6822i −0.152567 0.422649i
\(765\) 10.0641 8.72057i 0.363867 0.315293i
\(766\) 4.28352 23.0438i 0.154770 0.832606i
\(767\) −9.49605 + 32.3406i −0.342883 + 1.16775i
\(768\) 7.25633 14.2599i 0.261840 0.514561i
\(769\) −33.3920 4.80104i −1.20415 0.173130i −0.489113 0.872221i \(-0.662679\pi\)
−0.715033 + 0.699091i \(0.753588\pi\)
\(770\) 31.1692 + 29.3289i 1.12326 + 1.05694i
\(771\) −11.2126 + 24.5521i −0.403810 + 0.884221i
\(772\) 9.88207 9.67518i 0.355664 0.348217i
\(773\) 6.00545 3.85947i 0.216001 0.138815i −0.428166 0.903700i \(-0.640840\pi\)
0.644168 + 0.764884i \(0.277204\pi\)
\(774\) 3.76725 5.36508i 0.135411 0.192844i
\(775\) 2.31898 0.333420i 0.0833004 0.0119768i
\(776\) −8.63711 2.35107i −0.310054 0.0843986i
\(777\) 8.30333 + 5.33622i 0.297880 + 0.191436i
\(778\) −7.09150 + 4.15703i −0.254243 + 0.149037i
\(779\) 5.38345 + 18.3343i 0.192882 + 0.656896i
\(780\) −14.3740 3.28649i −0.514671 0.117675i
\(781\) −24.0812 −0.861694
\(782\) −7.95900 42.8480i −0.284613 1.53224i
\(783\) 7.99952i 0.285880i
\(784\) −5.97279 + 4.95816i −0.213314 + 0.177077i
\(785\) −31.7848 + 9.33285i −1.13445 + 0.333104i
\(786\) 1.36670 0.801158i 0.0487486 0.0285764i
\(787\) 9.57750 14.9029i 0.341401 0.531231i −0.627520 0.778600i \(-0.715930\pi\)
0.968921 + 0.247370i \(0.0795663\pi\)
\(788\) −7.80729 + 0.475439i −0.278123 + 0.0169368i
\(789\) −2.46304 17.1308i −0.0876864 0.609873i
\(790\) 9.84644 + 6.91397i 0.350321 + 0.245988i
\(791\) −19.7112 30.6713i −0.700851 1.09054i
\(792\) −5.98626 12.4487i −0.212713 0.442344i
\(793\) −17.7235 8.09406i −0.629381 0.287429i
\(794\) 14.4855 + 13.6302i 0.514071 + 0.483718i
\(795\) −3.41754 + 23.7695i −0.121208 + 0.843017i
\(796\) −19.0608 1.56608i −0.675593 0.0555081i
\(797\) 42.0847 + 12.3572i 1.49072 + 0.437713i 0.922769 0.385353i \(-0.125920\pi\)
0.567946 + 0.823066i \(0.307738\pi\)
\(798\) 23.8068 + 4.42535i 0.842750 + 0.156656i
\(799\) −12.9695 14.9676i −0.458829 0.529517i
\(800\) −2.36052 + 3.21487i −0.0834569 + 0.113663i
\(801\) −3.20986 2.78136i −0.113415 0.0982745i
\(802\) 1.69920 41.4319i 0.0600010 1.46301i
\(803\) 21.9685 10.0327i 0.775250 0.354045i
\(804\) 12.0215 15.7097i 0.423967 0.554040i
\(805\) 25.9331 14.5142i 0.914022 0.511560i
\(806\) 15.8336 + 5.36311i 0.557715 + 0.188908i
\(807\) −16.5964 + 7.57933i −0.584222 + 0.266805i
\(808\) −29.3387 + 35.2475i −1.03213 + 1.24000i
\(809\) 4.86530 5.61485i 0.171055 0.197408i −0.663749 0.747955i \(-0.731036\pi\)
0.834804 + 0.550548i \(0.185581\pi\)
\(810\) −1.82692 2.29178i −0.0641915 0.0805248i
\(811\) 0.131638 + 0.151918i 0.00462244 + 0.00533458i 0.758056 0.652189i \(-0.226149\pi\)
−0.753434 + 0.657524i \(0.771604\pi\)
\(812\) 41.7421 + 23.3695i 1.46486 + 0.820107i
\(813\) −3.00957 + 10.2497i −0.105550 + 0.359471i
\(814\) −5.52129 22.1198i −0.193521 0.775298i
\(815\) −2.23743 + 15.5617i −0.0783739 + 0.545102i
\(816\) 4.19524 25.3579i 0.146863 0.887705i
\(817\) 11.0270 24.1458i 0.385787 0.844756i
\(818\) 10.9261 21.5422i 0.382023 0.753205i
\(819\) −5.75078 8.94839i −0.200949 0.312682i
\(820\) 8.17105 + 11.1594i 0.285345 + 0.389702i
\(821\) −21.9820 + 3.16054i −0.767178 + 0.110304i −0.514783 0.857321i \(-0.672127\pi\)
−0.252395 + 0.967624i \(0.581218\pi\)
\(822\) −11.4111 + 4.65606i −0.398006 + 0.162399i
\(823\) −3.11868 + 4.85276i −0.108710 + 0.169157i −0.891346 0.453323i \(-0.850238\pi\)
0.782636 + 0.622480i \(0.213875\pi\)
\(824\) −1.90076 0.234916i −0.0662160 0.00818368i
\(825\) 0.970090 + 3.30382i 0.0337742 + 0.115024i
\(826\) −4.07206 39.8581i −0.141685 1.38684i
\(827\) 19.6969i 0.684929i −0.939531 0.342464i \(-0.888738\pi\)
0.939531 0.342464i \(-0.111262\pi\)
\(828\) −9.49421 + 1.36378i −0.329947 + 0.0473947i
\(829\) 48.8033i 1.69501i −0.530788 0.847504i \(-0.678104\pi\)
0.530788 0.847504i \(-0.321896\pi\)
\(830\) 48.6234 4.96755i 1.68774 0.172426i
\(831\) 0.144806 + 0.493165i 0.00502328 + 0.0171077i
\(832\) −25.3983 + 12.8397i −0.880527 + 0.445136i
\(833\) −6.74174 + 10.4904i −0.233587 + 0.363469i
\(834\) −10.6762 26.1653i −0.369688 0.906031i
\(835\) 22.3355 3.21136i 0.772952 0.111134i
\(836\) −33.0430 45.1276i −1.14282 1.56077i
\(837\) 1.79649 + 2.79539i 0.0620957 + 0.0966228i
\(838\) 23.4690 + 11.9034i 0.810722 + 0.411195i
\(839\) 4.28061 9.37322i 0.147783 0.323599i −0.821235 0.570590i \(-0.806714\pi\)
0.969018 + 0.246991i \(0.0794417\pi\)
\(840\) 17.2957 2.83791i 0.596760 0.0979172i
\(841\) 4.97993 34.6362i 0.171722 1.19435i
\(842\) −42.8806 + 10.7034i −1.47776 + 0.368862i
\(843\) 0.0168761 0.0574748i 0.000581245 0.00197954i
\(844\) −0.829592 + 1.48180i −0.0285557 + 0.0510057i
\(845\) −0.468007 0.540109i −0.0160999 0.0185803i
\(846\) −3.40841 + 2.71706i −0.117184 + 0.0934145i
\(847\) 25.1626 29.0392i 0.864598 0.997799i
\(848\) 24.2279 + 39.5130i 0.831991 + 1.35688i
\(849\) 12.0651 5.50993i 0.414072 0.189100i
\(850\) −2.05547 + 6.06838i −0.0705019 + 0.208144i
\(851\) −15.8015 0.964355i −0.541667 0.0330577i
\(852\) −5.99318 + 7.83187i −0.205323 + 0.268315i
\(853\) 11.2173 5.12277i 0.384073 0.175400i −0.214015 0.976830i \(-0.568654\pi\)
0.598089 + 0.801430i \(0.295927\pi\)
\(854\) 23.1412 + 0.949065i 0.791874 + 0.0324763i
\(855\) −8.96879 7.77150i −0.306726 0.265780i
\(856\) 45.2922 0.898383i 1.54806 0.0307061i
\(857\) 36.4115 + 42.0211i 1.24379 + 1.43541i 0.858654 + 0.512556i \(0.171301\pi\)
0.385140 + 0.922858i \(0.374153\pi\)
\(858\) −4.49024 + 24.1558i −0.153294 + 0.824666i
\(859\) −51.6909 15.1778i −1.76367 0.517861i −0.770803 0.637074i \(-0.780145\pi\)
−0.992869 + 0.119213i \(0.961963\pi\)
\(860\) 1.57333 19.1490i 0.0536500 0.652977i
\(861\) −1.41998 + 9.87615i −0.0483926 + 0.336578i
\(862\) 34.8104 36.9947i 1.18565 1.26005i
\(863\) 41.7195 + 19.0527i 1.42015 + 0.648560i 0.969713 0.244248i \(-0.0785412\pi\)
0.450436 + 0.892809i \(0.351268\pi\)
\(864\) −5.53847 1.15125i −0.188423 0.0391662i
\(865\) 25.8923 + 40.2891i 0.880363 + 1.36987i
\(866\) −15.2187 + 21.6735i −0.517152 + 0.736494i
\(867\) −3.45669 24.0418i −0.117395 0.816502i
\(868\) −19.8347 + 1.20787i −0.673234 + 0.0409978i
\(869\) 10.8388 16.8655i 0.367682 0.572124i
\(870\) −11.8567 20.2264i −0.401979 0.685738i
\(871\) −33.7604 + 9.91295i −1.14393 + 0.335888i
\(872\) 13.5721 22.0689i 0.459609 0.747348i
\(873\) 3.16479i 0.107112i
\(874\) −36.7867 + 12.4549i −1.24433 + 0.421293i
\(875\) −35.3527 −1.19514
\(876\) 2.20447 9.64161i 0.0744822 0.325760i
\(877\) 4.26739 + 14.5334i 0.144100 + 0.490758i 0.999636 0.0269849i \(-0.00859061\pi\)
−0.855536 + 0.517743i \(0.826772\pi\)
\(878\) 1.02029 + 1.74053i 0.0344333 + 0.0587399i
\(879\) −5.18209 3.33033i −0.174787 0.112329i
\(880\) −33.5870 22.6031i −1.13222 0.761951i
\(881\) 0.705445 0.101428i 0.0237670 0.00341718i −0.130421 0.991459i \(-0.541633\pi\)
0.154188 + 0.988042i \(0.450724\pi\)
\(882\) 2.24607 + 1.57714i 0.0756290 + 0.0531052i
\(883\) −2.69821 + 1.73403i −0.0908019 + 0.0583548i −0.585254 0.810850i \(-0.699005\pi\)
0.494452 + 0.869205i \(0.335369\pi\)
\(884\) −32.6672 + 31.9833i −1.09872 + 1.07571i
\(885\) −8.15705 + 17.8614i −0.274196 + 0.600406i
\(886\) 16.5926 17.6337i 0.557438 0.592417i
\(887\) 16.5178 + 2.37490i 0.554612 + 0.0797412i 0.413922 0.910312i \(-0.364159\pi\)
0.140691 + 0.990054i \(0.455068\pi\)
\(888\) −8.56806 3.70935i −0.287525 0.124478i
\(889\) 11.5028 39.1750i 0.385792 1.31389i
\(890\) −12.2384 2.27496i −0.410233 0.0762567i
\(891\) −3.69086 + 3.19815i −0.123648 + 0.107142i
\(892\) −22.2578 + 8.03458i −0.745247 + 0.269018i
\(893\) −11.5580 + 13.3387i −0.386775 + 0.446363i
\(894\) 25.6763 + 1.05304i 0.858745 + 0.0352188i
\(895\) 2.68540 + 5.88021i 0.0897630 + 0.196554i
\(896\) 22.1871 25.5369i 0.741220 0.853129i
\(897\) 15.0584 + 8.01948i 0.502787 + 0.267763i
\(898\) 18.7038 + 6.33529i 0.624153 + 0.211411i
\(899\) 11.0424 + 24.1794i 0.368283 + 0.806428i
\(900\) 1.31592 + 0.506734i 0.0438641 + 0.0168911i
\(901\) 56.2704 + 48.7586i 1.87464 + 1.62438i
\(902\) 18.0214 14.3660i 0.600048 0.478337i
\(903\) 10.4752 9.07680i 0.348592 0.302057i
\(904\) 23.0972 + 25.6111i 0.768200 + 0.851814i
\(905\) −34.6398 10.1712i −1.15147 0.338101i
\(906\) 6.00069 + 24.0404i 0.199360 + 0.798688i
\(907\) −24.8648 3.57502i −0.825623 0.118707i −0.283465 0.958983i \(-0.591484\pi\)
−0.542159 + 0.840276i \(0.682393\pi\)
\(908\) 2.79405 + 5.24815i 0.0927238 + 0.174166i
\(909\) 14.7487 + 6.73553i 0.489185 + 0.223403i
\(910\) −27.8036 14.1019i −0.921681 0.467473i
\(911\) 2.43761 1.56656i 0.0807615 0.0519023i −0.499637 0.866235i \(-0.666533\pi\)
0.580398 + 0.814333i \(0.302897\pi\)
\(912\) −22.9002 0.484558i −0.758303 0.0160453i
\(913\) −11.5906 80.6144i −0.383593 2.66795i
\(914\) −31.6327 + 12.9071i −1.04632 + 0.426928i
\(915\) −9.54896 6.13675i −0.315679 0.202875i
\(916\) −11.1274 + 2.29762i −0.367659 + 0.0759153i
\(917\) 3.21384 0.943669i 0.106130 0.0311627i
\(918\) −9.04019 + 0.923581i −0.298371 + 0.0304827i
\(919\) 9.13493 0.301333 0.150667 0.988585i \(-0.451858\pi\)
0.150667 + 0.988585i \(0.451858\pi\)
\(920\) −21.9843 + 17.5203i −0.724800 + 0.577628i
\(921\) −7.20778 −0.237504
\(922\) 5.53526 0.565504i 0.182294 0.0186239i
\(923\) 16.8308 4.94197i 0.553992 0.162667i
\(924\) −5.90584 28.6021i −0.194288 0.940939i
\(925\) 1.95791 + 1.25827i 0.0643757 + 0.0413718i
\(926\) 47.0224 19.1866i 1.54525 0.630510i
\(927\) 0.0963660 + 0.670240i 0.00316507 + 0.0220136i
\(928\) −42.5435 15.4209i −1.39656 0.506217i
\(929\) 5.97361 3.83901i 0.195988 0.125954i −0.438966 0.898503i \(-0.644655\pi\)
0.634954 + 0.772550i \(0.281019\pi\)
\(930\) 8.68558 + 4.40529i 0.284811 + 0.144455i
\(931\) 10.1086 + 4.61642i 0.331294 + 0.151297i
\(932\) 19.5474 10.4068i 0.640295 0.340885i
\(933\) −0.578602 0.0831905i −0.0189426 0.00272353i
\(934\) −1.95761 7.84272i −0.0640550 0.256622i
\(935\) −62.4004 18.3224i −2.04071 0.599207i
\(936\) 6.73863 + 7.47209i 0.220259 + 0.244233i
\(937\) 14.8483 12.8661i 0.485074 0.420319i −0.377685 0.925934i \(-0.623280\pi\)
0.862759 + 0.505615i \(0.168734\pi\)
\(938\) 32.7047 26.0710i 1.06785 0.851249i
\(939\) −17.4917 15.1567i −0.570821 0.494619i
\(940\) −4.59083 + 11.9218i −0.149736 + 0.388846i
\(941\) −6.53794 14.3161i −0.213131 0.466691i 0.772628 0.634860i \(-0.218942\pi\)
−0.985758 + 0.168168i \(0.946215\pi\)
\(942\) 21.4106 + 7.25214i 0.697595 + 0.236288i
\(943\) −5.74891 14.9351i −0.187210 0.486353i
\(944\) 9.90583 + 36.5819i 0.322407 + 1.19064i
\(945\) −2.57422 5.63675i −0.0837393 0.183363i
\(946\) −31.9889 1.31193i −1.04005 0.0426544i
\(947\) −3.74024 + 4.31646i −0.121541 + 0.140266i −0.813259 0.581902i \(-0.802309\pi\)
0.691718 + 0.722168i \(0.256854\pi\)
\(948\) −2.78764 7.72246i −0.0905383 0.250814i
\(949\) −13.2952 + 11.5204i −0.431582 + 0.373968i
\(950\) 5.61360 + 1.04349i 0.182129 + 0.0338553i
\(951\) −3.31617 + 11.2938i −0.107534 + 0.366228i
\(952\) 21.5903 49.8705i 0.699746 1.61631i
\(953\) 33.9597 + 4.88267i 1.10006 + 0.158165i 0.668351 0.743846i \(-0.267001\pi\)
0.431712 + 0.902011i \(0.357910\pi\)
\(954\) 11.2297 11.9343i 0.363574 0.386388i
\(955\) −5.34632 + 11.7068i −0.173003 + 0.378824i
\(956\) 29.8706 + 30.5093i 0.966083 + 0.986742i
\(957\) −32.8655 + 21.1214i −1.06239 + 0.682757i
\(958\) 29.1576 + 20.4739i 0.942039 + 0.661481i
\(959\) −25.7924 + 3.70839i −0.832881 + 0.119750i
\(960\) −15.7101 + 5.29810i −0.507040 + 0.170996i
\(961\) 16.7901 + 10.7903i 0.541616 + 0.348075i
\(962\) 8.39837 + 14.3268i 0.270774 + 0.461915i
\(963\) −4.51233 15.3676i −0.145408 0.495214i
\(964\) 29.3443 + 6.70933i 0.945117 + 0.216093i
\(965\) −14.3306 −0.461320
\(966\) −20.1745 2.06380i −0.649104 0.0664017i
\(967\) 5.15233i 0.165688i −0.996563 0.0828438i \(-0.973600\pi\)
0.996563 0.0828438i \(-0.0264003\pi\)
\(968\) −19.0404 + 30.9607i −0.611981 + 0.995113i
\(969\) −35.3050 + 10.3665i −1.13416 + 0.333020i
\(970\) 4.69077 + 8.00201i 0.150611 + 0.256929i
\(971\) −23.2334 + 36.1519i −0.745597 + 1.16017i 0.236470 + 0.971639i \(0.424009\pi\)
−0.982067 + 0.188533i \(0.939627\pi\)
\(972\) 0.121568 + 1.99630i 0.00389931 + 0.0640314i
\(973\) −8.50327 59.1415i −0.272602 1.89599i
\(974\) 32.9702 46.9541i 1.05643 1.50451i
\(975\) −1.35603 2.11002i −0.0434276 0.0675746i
\(976\) −21.7465 + 2.65844i −0.696089 + 0.0850947i
\(977\) −42.6730 19.4881i −1.36523 0.623480i −0.408047 0.912961i \(-0.633790\pi\)
−0.957184 + 0.289481i \(0.906517\pi\)
\(978\) 7.35197 7.81331i 0.235090 0.249842i
\(979\) −2.95194 + 20.5312i −0.0943445 + 0.656180i
\(980\) 8.01666 + 0.658666i 0.256083 + 0.0210403i
\(981\) −8.78892 2.58066i −0.280609 0.0823941i
\(982\) −2.76990 + 14.9011i −0.0883912 + 0.475512i
\(983\) −12.4750 14.3970i −0.397892 0.459192i 0.521084 0.853505i \(-0.325528\pi\)
−0.918976 + 0.394313i \(0.870982\pi\)
\(984\) −0.187173 9.43639i −0.00596687 0.300821i
\(985\) 6.12535 + 5.30765i 0.195170 + 0.169116i
\(986\) −72.6326 2.97880i −2.31309 0.0948645i
\(987\) −8.38317 + 3.82847i −0.266839 + 0.121861i
\(988\) 32.3555 + 24.7593i 1.02936 + 0.787700i
\(989\) −7.55101 + 20.9095i −0.240108 + 0.664885i
\(990\) −4.59194 + 13.5568i −0.145941 + 0.430865i
\(991\) 7.11028 3.24716i 0.225865 0.103149i −0.299268 0.954169i \(-0.596743\pi\)
0.525134 + 0.851020i \(0.324015\pi\)
\(992\) 18.3297 4.16542i 0.581970 0.132252i
\(993\) 16.2164 18.7148i 0.514613 0.593895i
\(994\) −16.3045 + 12.9973i −0.517147 + 0.412251i
\(995\) 12.9778 + 14.9771i 0.411423 + 0.474807i
\(996\) −29.1026 16.2932i −0.922151 0.516270i
\(997\) −6.70052 + 22.8199i −0.212207 + 0.722712i 0.782743 + 0.622345i \(0.213820\pi\)
−0.994950 + 0.100367i \(0.967998\pi\)
\(998\) −27.4445 + 6.85039i −0.868741 + 0.216845i
\(999\) −0.469776 + 3.26737i −0.0148631 + 0.103375i
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 552.2.t.a.19.13 yes 240
8.3 odd 2 inner 552.2.t.a.19.6 240
23.17 odd 22 inner 552.2.t.a.523.6 yes 240
184.155 even 22 inner 552.2.t.a.523.13 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.t.a.19.6 240 8.3 odd 2 inner
552.2.t.a.19.13 yes 240 1.1 even 1 trivial
552.2.t.a.523.6 yes 240 23.17 odd 22 inner
552.2.t.a.523.13 yes 240 184.155 even 22 inner