Properties

Label 350.2.x.a.227.10
Level $350$
Weight $2$
Character 350.227
Analytic conductor $2.795$
Analytic rank $0$
Dimension $320$
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] = [350,2,Mod(3,350)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(350, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([21, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("350.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 350.x (of order \(60\), degree \(16\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.79476407074\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(20\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 227.10
Character \(\chi\) \(=\) 350.227
Dual form 350.2.x.a.313.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.358368 - 0.933580i) q^{2} +(0.171538 - 3.27314i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.02837 - 1.98556i) q^{5} +(-3.11722 + 1.01284i) q^{6} +(-2.48341 + 0.912521i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-7.70047 - 0.809352i) q^{9} +O(q^{10})\) \(q+(-0.358368 - 0.933580i) q^{2} +(0.171538 - 3.27314i) q^{3} +(-0.743145 + 0.669131i) q^{4} +(1.02837 - 1.98556i) q^{5} +(-3.11722 + 1.01284i) q^{6} +(-2.48341 + 0.912521i) q^{7} +(0.891007 + 0.453990i) q^{8} +(-7.70047 - 0.809352i) q^{9} +(-2.22222 - 0.248502i) q^{10} +(0.237923 + 2.26369i) q^{11} +(2.06268 + 2.54720i) q^{12} +(-0.0777396 - 0.490829i) q^{13} +(1.74189 + 1.99144i) q^{14} +(-6.32263 - 3.70659i) q^{15} +(0.104528 - 0.994522i) q^{16} +(4.93295 - 3.20349i) q^{17} +(2.00401 + 7.47906i) q^{18} +(0.929016 - 1.03178i) q^{19} +(0.564375 + 2.16367i) q^{20} +(2.56081 + 8.28507i) q^{21} +(2.02807 - 1.03335i) q^{22} +(4.72196 - 1.81259i) q^{23} +(1.63882 - 2.83852i) q^{24} +(-2.88492 - 4.08378i) q^{25} +(-0.430369 + 0.248473i) q^{26} +(-2.43185 + 15.3541i) q^{27} +(1.23493 - 2.33986i) q^{28} +(-7.08164 - 2.30096i) q^{29} +(-1.19458 + 7.23101i) q^{30} +(0.399620 - 1.88006i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(7.45019 - 0.390448i) q^{33} +(-4.75853 - 3.45727i) q^{34} +(-0.741987 + 5.86937i) q^{35} +(6.26413 - 4.55116i) q^{36} +(3.14526 - 2.54698i) q^{37} +(-1.29618 - 0.497556i) q^{38} +(-1.61989 + 0.170257i) q^{39} +(1.81771 - 1.30228i) q^{40} +(-2.24100 + 3.08447i) q^{41} +(6.81707 - 5.35983i) q^{42} +(-5.89010 + 5.89010i) q^{43} +(-1.69151 - 1.52305i) q^{44} +(-9.52594 + 14.4575i) q^{45} +(-3.38440 - 3.75875i) q^{46} +(-1.07009 + 1.64779i) q^{47} +(-3.23728 - 0.512735i) q^{48} +(5.33461 - 4.53232i) q^{49} +(-2.77867 + 4.15680i) q^{50} +(-9.63931 - 16.6958i) q^{51} +(0.386200 + 0.312739i) q^{52} +(7.90722 + 0.414400i) q^{53} +(15.2058 - 3.23208i) q^{54} +(4.73937 + 1.85549i) q^{55} +(-2.62701 - 0.314380i) q^{56} +(-3.21779 - 3.21779i) q^{57} +(0.389697 + 7.43587i) q^{58} +(-5.31921 + 2.36827i) q^{59} +(7.17882 - 1.47613i) q^{60} +(4.69087 - 10.5359i) q^{61} +(-1.89840 + 0.300677i) q^{62} +(19.8620 - 5.01690i) q^{63} +(0.587785 + 0.809017i) q^{64} +(-1.05452 - 0.350395i) q^{65} +(-3.03442 - 6.81543i) q^{66} +(-7.06757 - 10.8831i) q^{67} +(-1.52234 + 5.68145i) q^{68} +(-5.12287 - 15.7666i) q^{69} +(5.74543 - 1.41069i) q^{70} +(0.335223 - 1.03171i) q^{71} +(-6.49373 - 4.21708i) q^{72} +(9.07643 - 11.2085i) q^{73} +(-3.50497 - 2.02360i) q^{74} +(-13.8617 + 8.74223i) q^{75} +1.38839i q^{76} +(-2.65652 - 5.40455i) q^{77} +(0.739464 + 1.45128i) q^{78} +(3.56601 + 16.7767i) q^{79} +(-1.86719 - 1.23028i) q^{80} +(27.1179 + 5.76408i) q^{81} +(3.68271 + 0.986779i) q^{82} +(-1.74630 + 3.42730i) q^{83} +(-7.44685 - 4.44349i) q^{84} +(-1.28785 - 13.0891i) q^{85} +(7.60971 + 3.38806i) q^{86} +(-8.74615 + 22.7845i) q^{87} +(-0.815702 + 2.12498i) q^{88} +(0.0651150 + 0.0289910i) q^{89} +(16.9110 + 3.71214i) q^{90} +(0.640950 + 1.14799i) q^{91} +(-2.29624 + 4.50662i) q^{92} +(-6.08516 - 1.63052i) q^{93} +(1.92183 + 0.408498i) q^{94} +(-1.09329 - 2.90567i) q^{95} +(0.681459 + 3.20601i) q^{96} +(-5.00472 - 9.82231i) q^{97} +(-6.14304 - 3.35605i) q^{98} -17.6240i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 12 q^{5} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37} - 24 q^{38} - 40 q^{39} - 36 q^{42} + 88 q^{43} - 228 q^{45} - 12 q^{47} + 32 q^{50} - 52 q^{53} + 152 q^{57} + 32 q^{58} - 120 q^{59} - 8 q^{60} + 136 q^{63} + 8 q^{65} - 32 q^{67} - 144 q^{68} + 92 q^{70} + 8 q^{72} + 12 q^{73} - 432 q^{75} + 144 q^{77} - 16 q^{78} + 12 q^{80} - 40 q^{81} - 192 q^{82} + 60 q^{84} - 24 q^{85} + 24 q^{87} + 4 q^{88} - 300 q^{89} - 8 q^{92} - 68 q^{93} + 20 q^{95} - 40 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.358368 0.933580i −0.253404 0.660141i
\(3\) 0.171538 3.27314i 0.0990376 1.88975i −0.273703 0.961814i \(-0.588248\pi\)
0.372740 0.927936i \(-0.378418\pi\)
\(4\) −0.743145 + 0.669131i −0.371572 + 0.334565i
\(5\) 1.02837 1.98556i 0.459900 0.887971i
\(6\) −3.11722 + 1.01284i −1.27260 + 0.413492i
\(7\) −2.48341 + 0.912521i −0.938639 + 0.344901i
\(8\) 0.891007 + 0.453990i 0.315018 + 0.160510i
\(9\) −7.70047 0.809352i −2.56682 0.269784i
\(10\) −2.22222 0.248502i −0.702727 0.0785833i
\(11\) 0.237923 + 2.26369i 0.0717366 + 0.682528i 0.970006 + 0.243082i \(0.0781584\pi\)
−0.898269 + 0.439446i \(0.855175\pi\)
\(12\) 2.06268 + 2.54720i 0.595445 + 0.735314i
\(13\) −0.0777396 0.490829i −0.0215611 0.136131i 0.974560 0.224128i \(-0.0719534\pi\)
−0.996121 + 0.0879969i \(0.971953\pi\)
\(14\) 1.74189 + 1.99144i 0.465538 + 0.532235i
\(15\) −6.32263 3.70659i −1.63250 0.957039i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) 4.93295 3.20349i 1.19642 0.776962i 0.216482 0.976287i \(-0.430542\pi\)
0.979933 + 0.199325i \(0.0638749\pi\)
\(18\) 2.00401 + 7.47906i 0.472349 + 1.76283i
\(19\) 0.929016 1.03178i 0.213131 0.236706i −0.627094 0.778943i \(-0.715756\pi\)
0.840225 + 0.542237i \(0.182423\pi\)
\(20\) 0.564375 + 2.16367i 0.126198 + 0.483812i
\(21\) 2.56081 + 8.28507i 0.558815 + 1.80795i
\(22\) 2.02807 1.03335i 0.432386 0.220312i
\(23\) 4.72196 1.81259i 0.984596 0.377951i 0.187805 0.982206i \(-0.439863\pi\)
0.796791 + 0.604255i \(0.206529\pi\)
\(24\) 1.63882 2.83852i 0.334522 0.579409i
\(25\) −2.88492 4.08378i −0.576984 0.816756i
\(26\) −0.430369 + 0.248473i −0.0844022 + 0.0487296i
\(27\) −2.43185 + 15.3541i −0.468009 + 2.95489i
\(28\) 1.23493 2.33986i 0.233381 0.442192i
\(29\) −7.08164 2.30096i −1.31503 0.427278i −0.434243 0.900796i \(-0.642984\pi\)
−0.880784 + 0.473518i \(0.842984\pi\)
\(30\) −1.19458 + 7.23101i −0.218099 + 1.32019i
\(31\) 0.399620 1.88006i 0.0717738 0.337669i −0.927580 0.373626i \(-0.878114\pi\)
0.999353 + 0.0359565i \(0.0114478\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 7.45019 0.390448i 1.29691 0.0679682i
\(34\) −4.75853 3.45727i −0.816081 0.592918i
\(35\) −0.741987 + 5.86937i −0.125419 + 0.992104i
\(36\) 6.26413 4.55116i 1.04402 0.758526i
\(37\) 3.14526 2.54698i 0.517077 0.418721i −0.334936 0.942241i \(-0.608715\pi\)
0.852013 + 0.523520i \(0.175381\pi\)
\(38\) −1.29618 0.497556i −0.210268 0.0807142i
\(39\) −1.61989 + 0.170257i −0.259390 + 0.0272629i
\(40\) 1.81771 1.30228i 0.287405 0.205909i
\(41\) −2.24100 + 3.08447i −0.349986 + 0.481714i −0.947325 0.320275i \(-0.896225\pi\)
0.597339 + 0.801989i \(0.296225\pi\)
\(42\) 6.81707 5.35983i 1.05190 0.827040i
\(43\) −5.89010 + 5.89010i −0.898232 + 0.898232i −0.995280 0.0970475i \(-0.969060\pi\)
0.0970475 + 0.995280i \(0.469060\pi\)
\(44\) −1.69151 1.52305i −0.255005 0.229608i
\(45\) −9.52594 + 14.4575i −1.42004 + 2.15519i
\(46\) −3.38440 3.75875i −0.499002 0.554198i
\(47\) −1.07009 + 1.64779i −0.156089 + 0.240355i −0.908060 0.418841i \(-0.862437\pi\)
0.751971 + 0.659196i \(0.229103\pi\)
\(48\) −3.23728 0.512735i −0.467261 0.0740069i
\(49\) 5.33461 4.53232i 0.762087 0.647474i
\(50\) −2.77867 + 4.15680i −0.392964 + 0.587860i
\(51\) −9.63931 16.6958i −1.34977 2.33788i
\(52\) 0.386200 + 0.312739i 0.0535563 + 0.0433691i
\(53\) 7.90722 + 0.414400i 1.08614 + 0.0569222i 0.586991 0.809594i \(-0.300313\pi\)
0.499149 + 0.866516i \(0.333646\pi\)
\(54\) 15.2058 3.23208i 2.06924 0.439831i
\(55\) 4.73937 + 1.85549i 0.639056 + 0.250195i
\(56\) −2.62701 0.314380i −0.351049 0.0420108i
\(57\) −3.21779 3.21779i −0.426207 0.426207i
\(58\) 0.389697 + 7.43587i 0.0511698 + 0.976377i
\(59\) −5.31921 + 2.36827i −0.692503 + 0.308322i −0.722641 0.691224i \(-0.757072\pi\)
0.0301383 + 0.999546i \(0.490405\pi\)
\(60\) 7.17882 1.47613i 0.926782 0.190567i
\(61\) 4.69087 10.5359i 0.600604 1.34898i −0.315839 0.948813i \(-0.602286\pi\)
0.916443 0.400166i \(-0.131048\pi\)
\(62\) −1.89840 + 0.300677i −0.241097 + 0.0381860i
\(63\) 19.8620 5.01690i 2.50237 0.632069i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) −1.05452 0.350395i −0.130797 0.0434612i
\(66\) −3.03442 6.81543i −0.373512 0.838921i
\(67\) −7.06757 10.8831i −0.863441 1.32958i −0.943014 0.332754i \(-0.892022\pi\)
0.0795723 0.996829i \(-0.474645\pi\)
\(68\) −1.52234 + 5.68145i −0.184611 + 0.688977i
\(69\) −5.12287 15.7666i −0.616721 1.89807i
\(70\) 5.74543 1.41069i 0.686710 0.168610i
\(71\) 0.335223 1.03171i 0.0397837 0.122442i −0.929192 0.369597i \(-0.879496\pi\)
0.968976 + 0.247155i \(0.0794958\pi\)
\(72\) −6.49373 4.21708i −0.765294 0.496988i
\(73\) 9.07643 11.2085i 1.06232 1.31185i 0.114364 0.993439i \(-0.463517\pi\)
0.947952 0.318412i \(-0.103150\pi\)
\(74\) −3.50497 2.02360i −0.407445 0.235238i
\(75\) −13.8617 + 8.74223i −1.60061 + 1.00947i
\(76\) 1.38839i 0.159260i
\(77\) −2.65652 5.40455i −0.302739 0.615905i
\(78\) 0.739464 + 1.45128i 0.0837278 + 0.164325i
\(79\) 3.56601 + 16.7767i 0.401207 + 1.88753i 0.457662 + 0.889126i \(0.348687\pi\)
−0.0564544 + 0.998405i \(0.517980\pi\)
\(80\) −1.86719 1.23028i −0.208758 0.137550i
\(81\) 27.1179 + 5.76408i 3.01309 + 0.640453i
\(82\) 3.68271 + 0.986779i 0.406687 + 0.108971i
\(83\) −1.74630 + 3.42730i −0.191681 + 0.376195i −0.966766 0.255661i \(-0.917707\pi\)
0.775085 + 0.631856i \(0.217707\pi\)
\(84\) −7.44685 4.44349i −0.812518 0.484825i
\(85\) −1.28785 13.0891i −0.139687 1.41971i
\(86\) 7.60971 + 3.38806i 0.820576 + 0.365344i
\(87\) −8.74615 + 22.7845i −0.937686 + 2.44276i
\(88\) −0.815702 + 2.12498i −0.0869541 + 0.226523i
\(89\) 0.0651150 + 0.0289910i 0.00690217 + 0.00307304i 0.410185 0.912002i \(-0.365464\pi\)
−0.403283 + 0.915075i \(0.632131\pi\)
\(90\) 16.9110 + 3.71214i 1.78258 + 0.391294i
\(91\) 0.640950 + 1.14799i 0.0671899 + 0.120342i
\(92\) −2.29624 + 4.50662i −0.239400 + 0.469848i
\(93\) −6.08516 1.63052i −0.631002 0.169077i
\(94\) 1.92183 + 0.408498i 0.198222 + 0.0421334i
\(95\) −1.09329 2.90567i −0.112169 0.298115i
\(96\) 0.681459 + 3.20601i 0.0695511 + 0.327212i
\(97\) −5.00472 9.82231i −0.508152 0.997304i −0.992479 0.122417i \(-0.960935\pi\)
0.484327 0.874887i \(-0.339065\pi\)
\(98\) −6.14304 3.35605i −0.620541 0.339012i
\(99\) 17.6240i 1.77128i
\(100\) 4.87649 + 1.10445i 0.487649 + 0.110445i
\(101\) 10.9059 + 6.29651i 1.08517 + 0.626526i 0.932288 0.361718i \(-0.117810\pi\)
0.152887 + 0.988244i \(0.451143\pi\)
\(102\) −12.1324 + 14.9823i −1.20129 + 1.48347i
\(103\) 2.89476 + 1.87988i 0.285229 + 0.185230i 0.679321 0.733841i \(-0.262274\pi\)
−0.394092 + 0.919071i \(0.628941\pi\)
\(104\) 0.153565 0.472624i 0.0150583 0.0463446i
\(105\) 19.0840 + 3.43545i 1.86241 + 0.335265i
\(106\) −2.44682 7.53053i −0.237656 0.731430i
\(107\) 3.56912 13.3201i 0.345040 1.28771i −0.547526 0.836789i \(-0.684430\pi\)
0.892566 0.450918i \(-0.148903\pi\)
\(108\) −8.46667 13.0375i −0.814705 1.25454i
\(109\) 4.42055 + 9.92872i 0.423412 + 0.950999i 0.991748 + 0.128202i \(0.0409207\pi\)
−0.568336 + 0.822796i \(0.692413\pi\)
\(110\) 0.0338143 5.08953i 0.00322407 0.485268i
\(111\) −7.79710 10.7318i −0.740068 1.01862i
\(112\) 0.647936 + 2.56519i 0.0612242 + 0.242387i
\(113\) −1.09506 + 0.173440i −0.103014 + 0.0163159i −0.207729 0.978186i \(-0.566607\pi\)
0.104714 + 0.994502i \(0.466607\pi\)
\(114\) −1.85091 + 4.15722i −0.173354 + 0.389360i
\(115\) 1.25690 11.2398i 0.117206 1.04811i
\(116\) 6.80233 3.02859i 0.631580 0.281198i
\(117\) 0.201379 + 3.84253i 0.0186175 + 0.355242i
\(118\) 4.11720 + 4.11720i 0.379019 + 0.379019i
\(119\) −9.32726 + 12.4570i −0.855028 + 1.14193i
\(120\) −3.95074 6.17301i −0.360652 0.563516i
\(121\) 5.69195 1.20986i 0.517450 0.109987i
\(122\) −11.5171 0.603587i −1.04271 0.0546462i
\(123\) 9.71151 + 7.86422i 0.875657 + 0.709093i
\(124\) 0.961032 + 1.66456i 0.0863033 + 0.149482i
\(125\) −11.0754 + 1.52856i −0.990610 + 0.136719i
\(126\) −11.8016 16.7448i −1.05137 1.49175i
\(127\) 18.8176 + 2.98042i 1.66979 + 0.264469i 0.918478 0.395472i \(-0.129419\pi\)
0.751317 + 0.659942i \(0.229419\pi\)
\(128\) 0.544639 0.838671i 0.0481397 0.0741287i
\(129\) 18.2688 + 20.2895i 1.60848 + 1.78639i
\(130\) 0.0507823 + 1.11005i 0.00445390 + 0.0973575i
\(131\) 1.13860 + 1.02520i 0.0994799 + 0.0895721i 0.717370 0.696692i \(-0.245346\pi\)
−0.617890 + 0.786264i \(0.712012\pi\)
\(132\) −5.27531 + 5.27531i −0.459157 + 0.459157i
\(133\) −1.36561 + 3.41007i −0.118413 + 0.295690i
\(134\) −7.62746 + 10.4983i −0.658913 + 0.906915i
\(135\) 27.9856 + 20.6182i 2.40862 + 1.77453i
\(136\) 5.84965 0.614823i 0.501603 0.0527206i
\(137\) −7.65003 2.93657i −0.653586 0.250888i 0.00890220 0.999960i \(-0.497166\pi\)
−0.662488 + 0.749072i \(0.730500\pi\)
\(138\) −12.8835 + 10.4328i −1.09672 + 0.888103i
\(139\) −5.94607 + 4.32007i −0.504339 + 0.366424i −0.810672 0.585501i \(-0.800898\pi\)
0.306333 + 0.951924i \(0.400898\pi\)
\(140\) −3.37597 4.85827i −0.285321 0.410599i
\(141\) 5.20990 + 3.78522i 0.438753 + 0.318773i
\(142\) −1.08332 + 0.0567743i −0.0909101 + 0.00476439i
\(143\) 1.09259 0.292758i 0.0913667 0.0244816i
\(144\) −1.60984 + 7.57369i −0.134153 + 0.631141i
\(145\) −11.8512 + 11.6948i −0.984191 + 0.971200i
\(146\) −13.7167 4.45683i −1.13520 0.368850i
\(147\) −13.9198 18.2384i −1.14809 1.50428i
\(148\) −0.633120 + 3.99736i −0.0520422 + 0.328581i
\(149\) −1.75575 + 1.01368i −0.143837 + 0.0830442i −0.570191 0.821512i \(-0.693131\pi\)
0.426355 + 0.904556i \(0.359798\pi\)
\(150\) 13.1291 + 9.80804i 1.07199 + 0.800823i
\(151\) 4.81556 8.34080i 0.391885 0.678764i −0.600813 0.799389i \(-0.705157\pi\)
0.992698 + 0.120625i \(0.0384898\pi\)
\(152\) 1.29618 0.497556i 0.105134 0.0403571i
\(153\) −40.5788 + 20.6759i −3.28060 + 1.67155i
\(154\) −4.09357 + 4.41690i −0.329869 + 0.355924i
\(155\) −3.32203 2.72687i −0.266832 0.219027i
\(156\) 1.08989 1.21044i 0.0872608 0.0969129i
\(157\) 3.04735 + 11.3729i 0.243205 + 0.907654i 0.974277 + 0.225354i \(0.0723537\pi\)
−0.731072 + 0.682300i \(0.760980\pi\)
\(158\) 14.3845 9.34140i 1.14437 0.743162i
\(159\) 2.71278 25.8104i 0.215137 2.04690i
\(160\) −0.479426 + 2.18407i −0.0379019 + 0.172666i
\(161\) −10.0725 + 8.81028i −0.793825 + 0.694348i
\(162\) −4.33694 27.3824i −0.340742 2.15136i
\(163\) −4.32822 5.34491i −0.339013 0.418646i 0.578919 0.815385i \(-0.303475\pi\)
−0.917931 + 0.396740i \(0.870142\pi\)
\(164\) −0.398527 3.79173i −0.0311198 0.296085i
\(165\) 6.88628 15.1943i 0.536096 1.18288i
\(166\) 3.82548 + 0.402074i 0.296915 + 0.0312070i
\(167\) 7.15574 + 3.64603i 0.553728 + 0.282138i 0.708381 0.705831i \(-0.249426\pi\)
−0.154653 + 0.987969i \(0.549426\pi\)
\(168\) −1.47964 + 8.54464i −0.114157 + 0.659233i
\(169\) 12.1289 3.94091i 0.932990 0.303147i
\(170\) −11.7582 + 5.89301i −0.901809 + 0.451973i
\(171\) −7.98894 + 7.19327i −0.610929 + 0.550083i
\(172\) 0.435951 8.31845i 0.0332410 0.634276i
\(173\) 4.05945 + 10.5752i 0.308634 + 0.804019i 0.996909 + 0.0785688i \(0.0250350\pi\)
−0.688275 + 0.725450i \(0.741632\pi\)
\(174\) 24.4055 1.85018
\(175\) 10.8910 + 7.50913i 0.823279 + 0.567637i
\(176\) 2.27616 0.171572
\(177\) 6.83923 + 17.8168i 0.514068 + 1.33919i
\(178\) 0.00373036 0.0711795i 0.000279602 0.00533513i
\(179\) −0.849241 + 0.764660i −0.0634753 + 0.0571534i −0.700258 0.713890i \(-0.746932\pi\)
0.636782 + 0.771043i \(0.280265\pi\)
\(180\) −2.59478 17.1181i −0.193403 1.27591i
\(181\) −1.46632 + 0.476438i −0.108991 + 0.0354133i −0.363005 0.931787i \(-0.618249\pi\)
0.254014 + 0.967201i \(0.418249\pi\)
\(182\) 0.842042 1.00978i 0.0624163 0.0748499i
\(183\) −33.6807 17.1612i −2.48975 1.26859i
\(184\) 5.03019 + 0.528695i 0.370831 + 0.0389759i
\(185\) −1.82271 8.86434i −0.134008 0.651719i
\(186\) 0.658511 + 6.26532i 0.0482844 + 0.459395i
\(187\) 8.42538 + 10.4045i 0.616125 + 0.760850i
\(188\) −0.307358 1.94058i −0.0224164 0.141531i
\(189\) −7.97166 40.3495i −0.579853 2.93499i
\(190\) −2.32087 + 2.06197i −0.168374 + 0.149591i
\(191\) 0.416511 3.96284i 0.0301377 0.286741i −0.969065 0.246807i \(-0.920619\pi\)
0.999202 0.0399340i \(-0.0127148\pi\)
\(192\) 2.74886 1.78513i 0.198382 0.128831i
\(193\) −4.51252 16.8409i −0.324818 1.21224i −0.914495 0.404598i \(-0.867411\pi\)
0.589677 0.807639i \(-0.299255\pi\)
\(194\) −7.37638 + 8.19231i −0.529594 + 0.588173i
\(195\) −1.32778 + 3.39147i −0.0950846 + 0.242869i
\(196\) −0.931673 + 6.93772i −0.0665481 + 0.495552i
\(197\) −2.63638 + 1.34330i −0.187834 + 0.0957062i −0.545378 0.838190i \(-0.683614\pi\)
0.357544 + 0.933896i \(0.383614\pi\)
\(198\) −16.4535 + 6.31589i −1.16930 + 0.448851i
\(199\) 1.06732 1.84866i 0.0756607 0.131048i −0.825713 0.564091i \(-0.809227\pi\)
0.901373 + 0.433043i \(0.142560\pi\)
\(200\) −0.716485 4.94840i −0.0506632 0.349905i
\(201\) −36.8343 + 21.2663i −2.59809 + 1.50001i
\(202\) 1.96998 12.4380i 0.138607 0.875133i
\(203\) 19.6863 0.747918i 1.38170 0.0524936i
\(204\) 18.3351 + 5.95742i 1.28371 + 0.417103i
\(205\) 3.81984 + 7.62162i 0.266789 + 0.532317i
\(206\) 0.717628 3.37617i 0.0499995 0.235229i
\(207\) −37.8283 + 10.1361i −2.62925 + 0.704506i
\(208\) −0.496266 + 0.0260082i −0.0344098 + 0.00180334i
\(209\) 2.55666 + 1.85752i 0.176848 + 0.128487i
\(210\) −3.63182 19.0476i −0.250620 1.31441i
\(211\) −5.19727 + 3.77604i −0.357795 + 0.259953i −0.752132 0.659013i \(-0.770974\pi\)
0.394337 + 0.918966i \(0.370974\pi\)
\(212\) −6.15350 + 4.98300i −0.422624 + 0.342234i
\(213\) −3.31943 1.27421i −0.227444 0.0873075i
\(214\) −13.7145 + 1.44145i −0.937503 + 0.0985355i
\(215\) 5.63798 + 17.7524i 0.384507 + 1.21070i
\(216\) −9.13739 + 12.5765i −0.621721 + 0.855725i
\(217\) 0.723179 + 5.03362i 0.0490926 + 0.341704i
\(218\) 7.68507 7.68507i 0.520499 0.520499i
\(219\) −35.1299 31.6311i −2.37386 2.13743i
\(220\) −4.76360 + 1.79236i −0.321162 + 0.120841i
\(221\) −1.95585 2.17219i −0.131565 0.146118i
\(222\) −7.22475 + 11.1251i −0.484894 + 0.746671i
\(223\) 5.74914 + 0.910575i 0.384991 + 0.0609766i 0.345930 0.938260i \(-0.387563\pi\)
0.0390608 + 0.999237i \(0.487563\pi\)
\(224\) 2.16261 1.52418i 0.144495 0.101839i
\(225\) 18.9100 + 33.7819i 1.26067 + 2.25213i
\(226\) 0.554354 + 0.960169i 0.0368751 + 0.0638695i
\(227\) 9.78728 + 7.92559i 0.649605 + 0.526040i 0.896523 0.442997i \(-0.146085\pi\)
−0.246918 + 0.969036i \(0.579418\pi\)
\(228\) 4.54441 + 0.238162i 0.300961 + 0.0157727i
\(229\) −13.0293 + 2.76945i −0.860997 + 0.183011i −0.617191 0.786813i \(-0.711729\pi\)
−0.243806 + 0.969824i \(0.578396\pi\)
\(230\) −10.9436 + 2.85455i −0.721603 + 0.188224i
\(231\) −18.1456 + 7.76810i −1.19389 + 0.511103i
\(232\) −5.26517 5.26517i −0.345675 0.345675i
\(233\) 0.786677 + 15.0107i 0.0515369 + 0.983383i 0.894964 + 0.446139i \(0.147201\pi\)
−0.843427 + 0.537244i \(0.819465\pi\)
\(234\) 3.51514 1.56504i 0.229792 0.102310i
\(235\) 2.17135 + 3.81927i 0.141643 + 0.249142i
\(236\) 2.36827 5.31921i 0.154161 0.346251i
\(237\) 55.5244 8.79420i 3.60670 0.571245i
\(238\) 14.9722 + 4.24356i 0.970504 + 0.275069i
\(239\) 15.3757 + 21.1628i 0.994569 + 1.36891i 0.928599 + 0.371085i \(0.121014\pi\)
0.0659702 + 0.997822i \(0.478986\pi\)
\(240\) −4.34718 + 5.90055i −0.280610 + 0.380879i
\(241\) 1.32435 + 2.97454i 0.0853090 + 0.191607i 0.951163 0.308690i \(-0.0998907\pi\)
−0.865854 + 0.500297i \(0.833224\pi\)
\(242\) −3.16931 4.88031i −0.203731 0.313718i
\(243\) 11.4480 42.7246i 0.734390 2.74078i
\(244\) 3.56387 + 10.9685i 0.228154 + 0.702185i
\(245\) −3.51327 15.2531i −0.224454 0.974485i
\(246\) 3.86159 11.8848i 0.246206 0.757745i
\(247\) −0.578647 0.375778i −0.0368184 0.0239102i
\(248\) 1.20959 1.49372i 0.0768093 0.0948516i
\(249\) 10.9185 + 6.30379i 0.691931 + 0.399487i
\(250\) 5.39609 + 9.79195i 0.341279 + 0.619297i
\(251\) 6.03275i 0.380784i 0.981708 + 0.190392i \(0.0609758\pi\)
−0.981708 + 0.190392i \(0.939024\pi\)
\(252\) −11.4034 + 17.0185i −0.718344 + 1.07207i
\(253\) 5.22660 + 10.2578i 0.328594 + 0.644901i
\(254\) −3.96117 18.6359i −0.248546 1.16932i
\(255\) −43.0632 + 1.97006i −2.69673 + 0.123370i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) 2.73014 + 0.731539i 0.170301 + 0.0456321i 0.342962 0.939349i \(-0.388570\pi\)
−0.172661 + 0.984981i \(0.555236\pi\)
\(258\) 12.3950 24.3265i 0.771677 1.51450i
\(259\) −5.48678 + 9.19530i −0.340932 + 0.571368i
\(260\) 1.01812 0.445214i 0.0631410 0.0276110i
\(261\) 52.6697 + 23.4500i 3.26017 + 1.45152i
\(262\) 0.549069 1.43037i 0.0339216 0.0883688i
\(263\) −1.09790 + 2.86013i −0.0676994 + 0.176363i −0.963256 0.268584i \(-0.913444\pi\)
0.895557 + 0.444947i \(0.146778\pi\)
\(264\) 6.81543 + 3.03442i 0.419461 + 0.186756i
\(265\) 8.95435 15.2741i 0.550061 0.938282i
\(266\) 3.67296 + 0.0528438i 0.225204 + 0.00324006i
\(267\) 0.106062 0.208157i 0.00649086 0.0127390i
\(268\) 12.5344 + 3.35860i 0.765663 + 0.205159i
\(269\) 6.34090 + 1.34780i 0.386611 + 0.0821768i 0.397117 0.917768i \(-0.370011\pi\)
−0.0105055 + 0.999945i \(0.503344\pi\)
\(270\) 9.21961 33.5158i 0.561087 2.03970i
\(271\) −3.85489 18.1358i −0.234168 1.10167i −0.925386 0.379026i \(-0.876259\pi\)
0.691218 0.722646i \(-0.257074\pi\)
\(272\) −2.67031 5.24078i −0.161911 0.317769i
\(273\) 3.86747 1.90100i 0.234070 0.115054i
\(274\) 8.19429i 0.495035i
\(275\) 8.55801 7.50218i 0.516068 0.452399i
\(276\) 14.3569 + 8.28898i 0.864186 + 0.498938i
\(277\) 13.0545 16.1210i 0.784369 0.968615i −0.215600 0.976482i \(-0.569171\pi\)
0.999969 + 0.00786712i \(0.00250421\pi\)
\(278\) 6.16402 + 4.00296i 0.369693 + 0.240081i
\(279\) −4.59889 + 14.1539i −0.275329 + 0.847374i
\(280\) −3.32575 + 4.89279i −0.198752 + 0.292400i
\(281\) 8.47361 + 26.0791i 0.505493 + 1.55575i 0.799940 + 0.600080i \(0.204864\pi\)
−0.294447 + 0.955668i \(0.595136\pi\)
\(282\) 1.66674 6.22036i 0.0992530 0.370417i
\(283\) −6.58662 10.1425i −0.391534 0.602909i 0.586853 0.809694i \(-0.300367\pi\)
−0.978387 + 0.206784i \(0.933700\pi\)
\(284\) 0.441230 + 0.991019i 0.0261822 + 0.0588061i
\(285\) −9.69820 + 3.08005i −0.574472 + 0.182447i
\(286\) −0.664861 0.915103i −0.0393141 0.0541112i
\(287\) 2.75067 9.70496i 0.162367 0.572866i
\(288\) 7.64756 1.21125i 0.450637 0.0713739i
\(289\) 7.15708 16.0751i 0.421005 0.945593i
\(290\) 15.1651 + 6.87304i 0.890527 + 0.403599i
\(291\) −33.0083 + 14.6963i −1.93498 + 0.861509i
\(292\) 0.754820 + 14.4028i 0.0441725 + 0.842862i
\(293\) 19.8507 + 19.8507i 1.15969 + 1.15969i 0.984542 + 0.175146i \(0.0560397\pi\)
0.175146 + 0.984542i \(0.443960\pi\)
\(294\) −12.0386 + 19.5314i −0.702105 + 1.13909i
\(295\) −0.767767 + 12.9971i −0.0447011 + 0.756719i
\(296\) 3.95875 0.841458i 0.230098 0.0489088i
\(297\) −35.3354 1.85185i −2.05037 0.107455i
\(298\) 1.57556 + 1.27586i 0.0912697 + 0.0739088i
\(299\) −1.25675 2.17676i −0.0726800 0.125885i
\(300\) 4.45153 15.7720i 0.257009 0.910597i
\(301\) 9.25267 20.0024i 0.533315 1.15292i
\(302\) −9.51255 1.50664i −0.547386 0.0866974i
\(303\) 22.4801 34.6164i 1.29145 1.98866i
\(304\) −0.929016 1.03178i −0.0532827 0.0591765i
\(305\) −16.0957 20.1488i −0.921636 1.15371i
\(306\) 33.8448 + 30.4740i 1.93478 + 1.74208i
\(307\) 13.2073 13.2073i 0.753781 0.753781i −0.221402 0.975183i \(-0.571063\pi\)
0.975183 + 0.221402i \(0.0710632\pi\)
\(308\) 5.59053 + 2.23880i 0.318550 + 0.127567i
\(309\) 6.64966 9.15248i 0.378286 0.520666i
\(310\) −1.35524 + 4.07860i −0.0769725 + 0.231649i
\(311\) 24.4917 2.57418i 1.38880 0.145969i 0.619569 0.784942i \(-0.287307\pi\)
0.769229 + 0.638974i \(0.220641\pi\)
\(312\) −1.52063 0.583713i −0.0860884 0.0330463i
\(313\) 0.474973 0.384625i 0.0268470 0.0217403i −0.615803 0.787900i \(-0.711168\pi\)
0.642650 + 0.766160i \(0.277835\pi\)
\(314\) 9.52542 6.92062i 0.537550 0.390553i
\(315\) 10.4640 44.5964i 0.589582 2.51272i
\(316\) −13.8759 10.0814i −0.780580 0.567125i
\(317\) −5.33047 + 0.279358i −0.299389 + 0.0156903i −0.201439 0.979501i \(-0.564562\pi\)
−0.0979498 + 0.995191i \(0.531228\pi\)
\(318\) −25.0682 + 6.71701i −1.40576 + 0.376671i
\(319\) 3.52378 16.5781i 0.197294 0.928194i
\(320\) 2.21081 0.335117i 0.123588 0.0187336i
\(321\) −42.9865 13.9672i −2.39927 0.779571i
\(322\) 11.8348 + 6.24618i 0.659526 + 0.348086i
\(323\) 1.27750 8.06580i 0.0710819 0.448793i
\(324\) −24.0094 + 13.8618i −1.33386 + 0.770102i
\(325\) −1.78016 + 1.73347i −0.0987456 + 0.0961557i
\(326\) −3.43881 + 5.95619i −0.190458 + 0.329883i
\(327\) 33.2564 12.7659i 1.83908 0.705958i
\(328\) −3.39707 + 1.73089i −0.187572 + 0.0955726i
\(329\) 1.15382 5.06862i 0.0636122 0.279442i
\(330\) −16.6530 0.983728i −0.916715 0.0541524i
\(331\) −23.8612 + 26.5005i −1.31153 + 1.45660i −0.507972 + 0.861373i \(0.669605\pi\)
−0.803557 + 0.595228i \(0.797062\pi\)
\(332\) −0.995560 3.71548i −0.0546385 0.203913i
\(333\) −26.2814 + 17.0673i −1.44021 + 0.935284i
\(334\) 0.839476 7.98708i 0.0459341 0.437033i
\(335\) −28.8772 + 2.84127i −1.57773 + 0.155235i
\(336\) 8.50737 1.68076i 0.464115 0.0916929i
\(337\) −2.02291 12.7722i −0.110195 0.695744i −0.979496 0.201461i \(-0.935431\pi\)
0.869302 0.494282i \(-0.164569\pi\)
\(338\) −8.02575 9.91098i −0.436543 0.539086i
\(339\) 0.379850 + 3.61403i 0.0206306 + 0.196287i
\(340\) 9.71535 + 8.86532i 0.526889 + 0.480789i
\(341\) 4.35096 + 0.457304i 0.235617 + 0.0247644i
\(342\) 9.57848 + 4.88048i 0.517945 + 0.263906i
\(343\) −9.11216 + 16.1235i −0.492011 + 0.870589i
\(344\) −7.92217 + 2.57407i −0.427135 + 0.138785i
\(345\) −36.5737 6.04206i −1.96906 0.325293i
\(346\) 8.41804 7.57964i 0.452557 0.407484i
\(347\) −0.505120 + 9.63827i −0.0271163 + 0.517409i 0.950979 + 0.309254i \(0.100079\pi\)
−0.978096 + 0.208155i \(0.933254\pi\)
\(348\) −8.74615 22.7845i −0.468843 1.22138i
\(349\) 2.92228 0.156426 0.0782132 0.996937i \(-0.475079\pi\)
0.0782132 + 0.996937i \(0.475079\pi\)
\(350\) 3.10740 12.8586i 0.166098 0.687322i
\(351\) 7.72527 0.412344
\(352\) −0.815702 2.12498i −0.0434771 0.113262i
\(353\) −0.465956 + 8.89097i −0.0248003 + 0.473219i 0.957794 + 0.287455i \(0.0928092\pi\)
−0.982594 + 0.185764i \(0.940524\pi\)
\(354\) 14.1824 12.7699i 0.753789 0.678714i
\(355\) −1.70379 1.72659i −0.0904280 0.0916376i
\(356\) −0.0677886 + 0.0220259i −0.00359279 + 0.00116737i
\(357\) 39.1736 + 32.6663i 2.07328 + 1.72888i
\(358\) 1.01821 + 0.518805i 0.0538142 + 0.0274197i
\(359\) 2.72338 + 0.286239i 0.143734 + 0.0151071i 0.176122 0.984368i \(-0.443645\pi\)
−0.0323880 + 0.999475i \(0.510311\pi\)
\(360\) −15.0512 + 8.55701i −0.793269 + 0.450994i
\(361\) 1.78455 + 16.9788i 0.0939236 + 0.893623i
\(362\) 0.970277 + 1.19819i 0.0509966 + 0.0629756i
\(363\) −2.98366 18.8381i −0.156602 0.988743i
\(364\) −1.24447 0.424241i −0.0652281 0.0222363i
\(365\) −12.9212 29.5483i −0.676326 1.54663i
\(366\) −3.95126 + 37.5937i −0.206535 + 1.96505i
\(367\) 1.84351 1.19719i 0.0962304 0.0624927i −0.495627 0.868536i \(-0.665062\pi\)
0.591857 + 0.806043i \(0.298395\pi\)
\(368\) −1.30908 4.88556i −0.0682406 0.254677i
\(369\) 19.7532 21.9382i 1.02831 1.14205i
\(370\) −7.62237 + 4.87834i −0.396268 + 0.253613i
\(371\) −20.0150 + 6.18638i −1.03913 + 0.321181i
\(372\) 5.61319 2.86006i 0.291030 0.148287i
\(373\) −24.3042 + 9.32952i −1.25843 + 0.483064i −0.893957 0.448152i \(-0.852082\pi\)
−0.364468 + 0.931216i \(0.618749\pi\)
\(374\) 6.69403 11.5944i 0.346140 0.599532i
\(375\) 3.10335 + 36.5134i 0.160257 + 1.88555i
\(376\) −1.70154 + 0.982384i −0.0877502 + 0.0506626i
\(377\) −0.578855 + 3.65475i −0.0298125 + 0.188229i
\(378\) −34.8127 + 21.9022i −1.79057 + 1.12653i
\(379\) −23.7782 7.72599i −1.22140 0.396858i −0.373810 0.927505i \(-0.621949\pi\)
−0.847592 + 0.530648i \(0.821949\pi\)
\(380\) 2.75674 + 1.42778i 0.141418 + 0.0732435i
\(381\) 12.9833 61.0815i 0.665154 3.12930i
\(382\) −3.84889 + 1.03131i −0.196927 + 0.0527663i
\(383\) 27.1005 1.42027i 1.38477 0.0725727i 0.654670 0.755915i \(-0.272807\pi\)
0.730098 + 0.683342i \(0.239474\pi\)
\(384\) −2.65166 1.92655i −0.135317 0.0983136i
\(385\) −13.4630 0.283168i −0.686136 0.0144316i
\(386\) −14.1052 + 10.2481i −0.717937 + 0.521612i
\(387\) 50.1238 40.5894i 2.54793 2.06328i
\(388\) 10.2916 + 3.95059i 0.522479 + 0.200561i
\(389\) −18.6548 + 1.96069i −0.945834 + 0.0994112i −0.564871 0.825179i \(-0.691074\pi\)
−0.380963 + 0.924590i \(0.624407\pi\)
\(390\) 3.64205 + 0.0241974i 0.184422 + 0.00122528i
\(391\) 17.4866 24.0682i 0.884333 1.21718i
\(392\) 6.81080 1.61647i 0.343998 0.0816438i
\(393\) 3.55094 3.55094i 0.179121 0.179121i
\(394\) 2.19887 + 1.97987i 0.110778 + 0.0997446i
\(395\) 36.9785 + 10.1721i 1.86059 + 0.511816i
\(396\) 11.7928 + 13.0972i 0.592610 + 0.658160i
\(397\) 9.13448 14.0659i 0.458446 0.705945i −0.531552 0.847026i \(-0.678391\pi\)
0.989998 + 0.141080i \(0.0450576\pi\)
\(398\) −2.10837 0.333933i −0.105683 0.0167385i
\(399\) 10.9274 + 5.05478i 0.547054 + 0.253056i
\(400\) −4.36296 + 2.44224i −0.218148 + 0.122112i
\(401\) −12.8739 22.2983i −0.642894 1.11353i −0.984784 0.173785i \(-0.944400\pi\)
0.341890 0.939740i \(-0.388933\pi\)
\(402\) 33.0540 + 26.7666i 1.64859 + 1.33500i
\(403\) −0.953855 0.0499894i −0.0475149 0.00249015i
\(404\) −12.3178 + 2.61824i −0.612835 + 0.130262i
\(405\) 39.3321 47.9166i 1.95443 2.38100i
\(406\) −7.75316 18.1107i −0.384783 0.898818i
\(407\) 6.51390 + 6.51390i 0.322882 + 0.322882i
\(408\) −1.00896 19.2522i −0.0499512 0.953126i
\(409\) −8.98643 + 4.00102i −0.444351 + 0.197838i −0.616700 0.787198i \(-0.711531\pi\)
0.172349 + 0.985036i \(0.444864\pi\)
\(410\) 5.74649 6.29748i 0.283799 0.311010i
\(411\) −10.9241 + 24.5359i −0.538846 + 1.21027i
\(412\) −3.40910 + 0.539949i −0.167955 + 0.0266014i
\(413\) 11.0487 10.7353i 0.543670 0.528248i
\(414\) 23.0193 + 31.6834i 1.13134 + 1.55715i
\(415\) 5.00928 + 6.99191i 0.245896 + 0.343219i
\(416\) 0.202126 + 0.453983i 0.00991006 + 0.0222584i
\(417\) 13.1202 + 20.2034i 0.642501 + 0.989364i
\(418\) 0.817920 3.05252i 0.0400058 0.149304i
\(419\) 9.93392 + 30.5734i 0.485304 + 1.49361i 0.831541 + 0.555464i \(0.187459\pi\)
−0.346237 + 0.938147i \(0.612541\pi\)
\(420\) −16.4809 + 10.2166i −0.804187 + 0.498521i
\(421\) −1.11907 + 3.44414i −0.0545401 + 0.167857i −0.974616 0.223883i \(-0.928127\pi\)
0.920076 + 0.391740i \(0.128127\pi\)
\(422\) 5.38777 + 3.49886i 0.262273 + 0.170322i
\(423\) 9.57384 11.8227i 0.465496 0.574840i
\(424\) 6.85725 + 3.95903i 0.333017 + 0.192268i
\(425\) −27.3135 10.9032i −1.32490 0.528885i
\(426\) 3.55560i 0.172269i
\(427\) −2.03513 + 30.4453i −0.0984869 + 1.47335i
\(428\) 6.26054 + 12.2870i 0.302615 + 0.593915i
\(429\) −0.770818 3.62641i −0.0372154 0.175085i
\(430\) 14.5528 11.6254i 0.701798 0.560626i
\(431\) −9.46819 2.01253i −0.456067 0.0969400i −0.0258505 0.999666i \(-0.508229\pi\)
−0.430216 + 0.902726i \(0.641563\pi\)
\(432\) 15.0158 + 4.02346i 0.722446 + 0.193579i
\(433\) −14.4093 + 28.2798i −0.692465 + 1.35904i 0.230088 + 0.973170i \(0.426098\pi\)
−0.922553 + 0.385869i \(0.873902\pi\)
\(434\) 4.44013 2.47903i 0.213133 0.118997i
\(435\) 36.2458 + 40.7969i 1.73785 + 1.95606i
\(436\) −9.92872 4.42055i −0.475499 0.211706i
\(437\) 2.51659 6.55593i 0.120385 0.313613i
\(438\) −16.9408 + 44.1322i −0.809461 + 2.10872i
\(439\) 14.7956 + 6.58745i 0.706158 + 0.314402i 0.728209 0.685355i \(-0.240353\pi\)
−0.0220513 + 0.999757i \(0.507020\pi\)
\(440\) 3.38043 + 3.80488i 0.161156 + 0.181391i
\(441\) −44.7473 + 30.5834i −2.13082 + 1.45635i
\(442\) −1.32700 + 2.60439i −0.0631191 + 0.123878i
\(443\) −32.8207 8.79428i −1.55936 0.417829i −0.626898 0.779101i \(-0.715676\pi\)
−0.932460 + 0.361272i \(0.882342\pi\)
\(444\) 12.9753 + 2.75799i 0.615782 + 0.130889i
\(445\) 0.124526 0.0994764i 0.00590308 0.00471563i
\(446\) −1.21021 5.69361i −0.0573053 0.269600i
\(447\) 3.01675 + 5.92071i 0.142687 + 0.280040i
\(448\) −2.19795 1.47275i −0.103844 0.0695809i
\(449\) 7.55233i 0.356416i 0.983993 + 0.178208i \(0.0570301\pi\)
−0.983993 + 0.178208i \(0.942970\pi\)
\(450\) 24.7614 29.7604i 1.16726 1.40292i
\(451\) −7.51547 4.33906i −0.353890 0.204318i
\(452\) 0.697733 0.861628i 0.0328186 0.0405276i
\(453\) −26.4746 17.1928i −1.24388 0.807788i
\(454\) 3.89172 11.9775i 0.182648 0.562132i
\(455\) 2.93853 0.0920939i 0.137761 0.00431743i
\(456\) −1.40623 4.32792i −0.0658526 0.202673i
\(457\) −4.51669 + 16.8565i −0.211282 + 0.788515i 0.776161 + 0.630535i \(0.217165\pi\)
−0.987442 + 0.157979i \(0.949502\pi\)
\(458\) 7.25477 + 11.1714i 0.338993 + 0.522004i
\(459\) 37.1905 + 83.5313i 1.73590 + 3.89891i
\(460\) 6.58681 + 9.19379i 0.307111 + 0.428663i
\(461\) −0.0539469 0.0742515i −0.00251256 0.00345824i 0.807759 0.589513i \(-0.200680\pi\)
−0.810271 + 0.586055i \(0.800680\pi\)
\(462\) 13.7549 + 14.1565i 0.639937 + 0.658620i
\(463\) −41.5122 + 6.57489i −1.92924 + 0.305561i −0.998232 0.0594461i \(-0.981067\pi\)
−0.931005 + 0.365007i \(0.881067\pi\)
\(464\) −3.02859 + 6.80233i −0.140599 + 0.315790i
\(465\) −9.49528 + 10.4057i −0.440333 + 0.482553i
\(466\) 13.7318 6.11377i 0.636112 0.283215i
\(467\) −1.38568 26.4404i −0.0641216 1.22351i −0.821374 0.570391i \(-0.806792\pi\)
0.757252 0.653123i \(-0.226542\pi\)
\(468\) −2.72081 2.72081i −0.125769 0.125769i
\(469\) 27.4827 + 20.5779i 1.26903 + 0.950197i
\(470\) 2.78745 3.39583i 0.128576 0.156638i
\(471\) 37.7478 8.02354i 1.73933 0.369705i
\(472\) −5.81462 0.304732i −0.267640 0.0140264i
\(473\) −14.7348 11.9320i −0.677505 0.548632i
\(474\) −28.1083 48.6849i −1.29106 2.23617i
\(475\) −6.89369 0.817303i −0.316304 0.0375004i
\(476\) −1.40386 15.4985i −0.0643456 0.710373i
\(477\) −60.5539 9.59080i −2.77257 0.439133i
\(478\) 14.2470 21.9385i 0.651643 1.00344i
\(479\) −14.9175 16.5676i −0.681600 0.756994i 0.298734 0.954336i \(-0.403436\pi\)
−0.980335 + 0.197343i \(0.936769\pi\)
\(480\) 7.06653 + 1.94388i 0.322541 + 0.0887256i
\(481\) −1.49464 1.34578i −0.0681498 0.0613623i
\(482\) 2.30237 2.30237i 0.104870 0.104870i
\(483\) 27.1095 + 34.4801i 1.23352 + 1.56890i
\(484\) −3.42039 + 4.70776i −0.155472 + 0.213989i
\(485\) −24.6495 0.163769i −1.11928 0.00743635i
\(486\) −43.9894 + 4.62347i −1.99540 + 0.209725i
\(487\) −18.6392 7.15493i −0.844624 0.324221i −0.102706 0.994712i \(-0.532750\pi\)
−0.741918 + 0.670491i \(0.766084\pi\)
\(488\) 8.96278 7.25791i 0.405726 0.328550i
\(489\) −18.2371 + 13.2500i −0.824710 + 0.599187i
\(490\) −12.9810 + 8.74614i −0.586420 + 0.395110i
\(491\) 7.44616 + 5.40995i 0.336040 + 0.244148i 0.742989 0.669303i \(-0.233407\pi\)
−0.406949 + 0.913451i \(0.633407\pi\)
\(492\) −12.4792 + 0.654010i −0.562608 + 0.0294850i
\(493\) −42.3045 + 11.3354i −1.90530 + 0.510523i
\(494\) −0.143450 + 0.674880i −0.00645413 + 0.0303643i
\(495\) −34.9936 18.1240i −1.57285 0.814613i
\(496\) −1.82799 0.593951i −0.0820793 0.0266692i
\(497\) 0.108963 + 2.86806i 0.00488765 + 0.128650i
\(498\) 1.97226 12.4524i 0.0883791 0.558004i
\(499\) −6.67796 + 3.85552i −0.298946 + 0.172597i −0.641969 0.766730i \(-0.721882\pi\)
0.343023 + 0.939327i \(0.388549\pi\)
\(500\) 7.20779 8.54680i 0.322342 0.382225i
\(501\) 13.1615 22.7963i 0.588011 1.01846i
\(502\) 5.63206 2.16194i 0.251371 0.0964923i
\(503\) −7.18077 + 3.65878i −0.320175 + 0.163137i −0.606690 0.794939i \(-0.707503\pi\)
0.286515 + 0.958076i \(0.407503\pi\)
\(504\) 19.9748 + 4.54705i 0.889746 + 0.202542i
\(505\) 23.7174 15.1792i 1.05541 0.675464i
\(506\) 7.70342 8.55552i 0.342459 0.380339i
\(507\) −10.8186 40.3755i −0.480470 1.79314i
\(508\) −15.9785 + 10.3766i −0.708932 + 0.460386i
\(509\) −2.10328 + 20.0114i −0.0932263 + 0.886989i 0.843548 + 0.537054i \(0.180463\pi\)
−0.936774 + 0.349935i \(0.886204\pi\)
\(510\) 17.2717 + 39.4970i 0.764803 + 1.74896i
\(511\) −12.3125 + 36.1176i −0.544673 + 1.59775i
\(512\) 0.156434 + 0.987688i 0.00691349 + 0.0436501i
\(513\) 13.5828 + 16.7733i 0.599693 + 0.740560i
\(514\) −0.295444 2.81097i −0.0130315 0.123986i
\(515\) 6.70949 3.81451i 0.295655 0.168088i
\(516\) −27.1527 2.85386i −1.19533 0.125634i
\(517\) −3.98469 2.03030i −0.175246 0.0892925i
\(518\) 10.5508 + 1.82705i 0.463577 + 0.0802759i
\(519\) 35.3105 11.4731i 1.54996 0.503613i
\(520\) −0.780504 0.790945i −0.0342274 0.0346852i
\(521\) −5.31296 + 4.78381i −0.232765 + 0.209583i −0.777257 0.629184i \(-0.783389\pi\)
0.544492 + 0.838766i \(0.316723\pi\)
\(522\) 3.01738 57.5751i 0.132067 2.51999i
\(523\) 3.09462 + 8.06175i 0.135318 + 0.352516i 0.984450 0.175665i \(-0.0562076\pi\)
−0.849132 + 0.528181i \(0.822874\pi\)
\(524\) −1.53214 −0.0669317
\(525\) 26.4467 34.3596i 1.15423 1.49957i
\(526\) 3.06361 0.133580
\(527\) −4.05147 10.5544i −0.176485 0.459758i
\(528\) 0.390448 7.45019i 0.0169921 0.324228i
\(529\) 1.91908 1.72794i 0.0834381 0.0751280i
\(530\) −17.4686 2.88585i −0.758786 0.125353i
\(531\) 42.8772 13.9317i 1.86071 0.604582i
\(532\) −1.26694 3.44794i −0.0549287 0.149487i
\(533\) 1.68816 + 0.860162i 0.0731224 + 0.0372577i
\(534\) −0.232341 0.0244200i −0.0100544 0.00105676i
\(535\) −22.7776 20.7847i −0.984762 0.898602i
\(536\) −1.35643 12.9055i −0.0585887 0.557434i
\(537\) 2.35716 + 2.91086i 0.101719 + 0.125613i
\(538\) −1.01410 6.40275i −0.0437208 0.276042i
\(539\) 11.5290 + 10.9976i 0.496589 + 0.473698i
\(540\) −34.5937 + 3.40373i −1.48867 + 0.146473i
\(541\) 1.62352 15.4468i 0.0698006 0.664108i −0.902550 0.430584i \(-0.858308\pi\)
0.972351 0.233524i \(-0.0750257\pi\)
\(542\) −15.5498 + 10.0981i −0.667920 + 0.433752i
\(543\) 1.30792 + 4.88122i 0.0561281 + 0.209473i
\(544\) −3.93574 + 4.37108i −0.168743 + 0.187408i
\(545\) 24.2600 + 1.43310i 1.03919 + 0.0613871i
\(546\) −3.16071 2.92934i −0.135266 0.125364i
\(547\) 1.80173 0.918029i 0.0770366 0.0392521i −0.415048 0.909800i \(-0.636235\pi\)
0.492084 + 0.870548i \(0.336235\pi\)
\(548\) 7.65003 2.93657i 0.326793 0.125444i
\(549\) −44.6491 + 77.3346i −1.90558 + 3.30056i
\(550\) −10.0708 5.30105i −0.429421 0.226038i
\(551\) −8.95304 + 5.16904i −0.381412 + 0.220208i
\(552\) 2.59336 16.3739i 0.110381 0.696917i
\(553\) −24.1650 38.4094i −1.02760 1.63333i
\(554\) −19.7285 6.41019i −0.838185 0.272343i
\(555\) −29.3269 + 4.44540i −1.24486 + 0.188697i
\(556\) 1.52810 7.18914i 0.0648058 0.304887i
\(557\) −31.5159 + 8.44467i −1.33537 + 0.357812i −0.854716 0.519097i \(-0.826268\pi\)
−0.480657 + 0.876909i \(0.659602\pi\)
\(558\) 14.8619 0.778881i 0.629156 0.0329727i
\(559\) 3.34892 + 2.43314i 0.141644 + 0.102911i
\(560\) 5.75965 + 1.35144i 0.243390 + 0.0571087i
\(561\) 35.5006 25.7927i 1.49884 1.08897i
\(562\) 21.3102 17.2567i 0.898919 0.727930i
\(563\) 36.7559 + 14.1092i 1.54907 + 0.594634i 0.974613 0.223897i \(-0.0718781\pi\)
0.574462 + 0.818531i \(0.305211\pi\)
\(564\) −6.40452 + 0.673142i −0.269679 + 0.0283444i
\(565\) −0.781746 + 2.35267i −0.0328883 + 0.0989774i
\(566\) −7.10841 + 9.78389i −0.298789 + 0.411248i
\(567\) −72.6045 + 10.4311i −3.04910 + 0.438064i
\(568\) 0.767073 0.767073i 0.0321857 0.0321857i
\(569\) 11.9330 + 10.7445i 0.500257 + 0.450434i 0.880218 0.474569i \(-0.157396\pi\)
−0.379961 + 0.925002i \(0.624063\pi\)
\(570\) 6.35100 + 7.95026i 0.266014 + 0.333000i
\(571\) −25.5403 28.3654i −1.06883 1.18706i −0.981616 0.190866i \(-0.938871\pi\)
−0.0872132 0.996190i \(-0.527796\pi\)
\(572\) −0.616057 + 0.948645i −0.0257586 + 0.0396648i
\(573\) −12.8995 2.04308i −0.538884 0.0853509i
\(574\) −10.0461 + 0.909977i −0.419317 + 0.0379817i
\(575\) −21.0247 14.0543i −0.876790 0.586103i
\(576\) −3.87145 6.70554i −0.161310 0.279397i
\(577\) −22.4962 18.2171i −0.936529 0.758386i 0.0339875 0.999422i \(-0.489179\pi\)
−0.970516 + 0.241036i \(0.922513\pi\)
\(578\) −17.5722 0.920922i −0.730909 0.0383053i
\(579\) −55.8969 + 11.8812i −2.32299 + 0.493768i
\(580\) 0.981837 16.6210i 0.0407686 0.690147i
\(581\) 1.20928 10.1049i 0.0501694 0.419222i
\(582\) 25.5493 + 25.5493i 1.05905 + 1.05905i
\(583\) 0.943239 + 17.9981i 0.0390650 + 0.745404i
\(584\) 13.1757 5.86620i 0.545214 0.242745i
\(585\) 7.83668 + 3.55169i 0.324007 + 0.146844i
\(586\) 11.4184 25.6460i 0.471688 1.05943i
\(587\) 8.46432 1.34062i 0.349360 0.0553332i 0.0207114 0.999785i \(-0.493407\pi\)
0.328648 + 0.944452i \(0.393407\pi\)
\(588\) 22.5483 + 4.23958i 0.929878 + 0.174837i
\(589\) −1.56855 2.15893i −0.0646311 0.0889571i
\(590\) 12.4090 3.94097i 0.510869 0.162247i
\(591\) 3.94458 + 8.85966i 0.162258 + 0.364438i
\(592\) −2.20426 3.39426i −0.0905945 0.139503i
\(593\) 9.02332 33.6755i 0.370543 1.38289i −0.489205 0.872169i \(-0.662713\pi\)
0.859748 0.510718i \(-0.170620\pi\)
\(594\) 10.9342 + 33.6521i 0.448637 + 1.38076i
\(595\) 15.1423 + 31.3302i 0.620774 + 1.28441i
\(596\) 0.626491 1.92814i 0.0256621 0.0789797i
\(597\) −5.86784 3.81062i −0.240155 0.155958i
\(598\) −1.58180 + 1.95336i −0.0646847 + 0.0798789i
\(599\) 1.10997 + 0.640843i 0.0453522 + 0.0261841i 0.522505 0.852636i \(-0.324998\pi\)
−0.477152 + 0.878821i \(0.658331\pi\)
\(600\) −16.3197 + 1.49632i −0.666250 + 0.0610870i
\(601\) 17.4316i 0.711050i 0.934667 + 0.355525i \(0.115698\pi\)
−0.934667 + 0.355525i \(0.884302\pi\)
\(602\) −21.9897 1.46991i −0.896232 0.0599090i
\(603\) 45.6154 + 89.5252i 1.85760 + 3.64575i
\(604\) 2.00242 + 9.42066i 0.0814774 + 0.383321i
\(605\) 3.45116 12.5459i 0.140310 0.510063i
\(606\) −40.3733 8.58162i −1.64006 0.348604i
\(607\) 18.0946 + 4.84844i 0.734439 + 0.196792i 0.606605 0.795003i \(-0.292531\pi\)
0.127834 + 0.991796i \(0.459198\pi\)
\(608\) −0.630317 + 1.23707i −0.0255627 + 0.0501697i
\(609\) 0.928901 64.5642i 0.0376410 2.61627i
\(610\) −13.0423 + 22.2473i −0.528068 + 0.900766i
\(611\) 0.891972 + 0.397132i 0.0360853 + 0.0160662i
\(612\) 16.3210 42.5177i 0.659738 1.71868i
\(613\) 13.0701 34.0487i 0.527895 1.37521i −0.367535 0.930010i \(-0.619798\pi\)
0.895430 0.445203i \(-0.146868\pi\)
\(614\) −17.0632 7.59701i −0.688613 0.306590i
\(615\) 25.6019 11.1955i 1.03237 0.451446i
\(616\) 0.0866331 6.02152i 0.00349055 0.242614i
\(617\) 12.2764 24.0938i 0.494229 0.969979i −0.500333 0.865833i \(-0.666789\pi\)
0.994562 0.104146i \(-0.0332109\pi\)
\(618\) −10.9276 2.92804i −0.439573 0.117783i
\(619\) −4.16763 0.885857i −0.167511 0.0356056i 0.123392 0.992358i \(-0.460623\pi\)
−0.290904 + 0.956752i \(0.593956\pi\)
\(620\) 4.29338 0.196413i 0.172426 0.00788815i
\(621\) 16.3476 + 76.9092i 0.656005 + 3.08626i
\(622\) −11.1803 21.9425i −0.448287 0.879813i
\(623\) −0.188162 0.0125778i −0.00753854 0.000503917i
\(624\) 1.62881i 0.0652046i
\(625\) −8.35448 + 23.5627i −0.334179 + 0.942509i
\(626\) −0.529293 0.305588i −0.0211548 0.0122137i
\(627\) 6.51849 8.04967i 0.260324 0.321473i
\(628\) −9.87456 6.41262i −0.394038 0.255891i
\(629\) 7.35616 22.6399i 0.293309 0.902713i
\(630\) −45.3843 + 6.21289i −1.80815 + 0.247528i
\(631\) 1.42544 + 4.38707i 0.0567461 + 0.174646i 0.975412 0.220388i \(-0.0707325\pi\)
−0.918666 + 0.395035i \(0.870733\pi\)
\(632\) −4.43915 + 16.5671i −0.176580 + 0.659005i
\(633\) 11.4680 + 17.6592i 0.455812 + 0.701888i
\(634\) 2.17107 + 4.87631i 0.0862243 + 0.193663i
\(635\) 25.2693 34.2986i 1.00278 1.36110i
\(636\) 15.2545 + 20.9960i 0.604881 + 0.832547i
\(637\) −2.63930 2.26604i −0.104573 0.0897837i
\(638\) −16.7398 + 2.65132i −0.662734 + 0.104967i
\(639\) −3.41640 + 7.67335i −0.135151 + 0.303553i
\(640\) −1.10514 1.94388i −0.0436846 0.0768385i
\(641\) 40.5690 18.0625i 1.60238 0.713426i 0.605766 0.795643i \(-0.292867\pi\)
0.996614 + 0.0822176i \(0.0262002\pi\)
\(642\) 2.36552 + 45.1367i 0.0933594 + 1.78140i
\(643\) 0.647773 + 0.647773i 0.0255457 + 0.0255457i 0.719764 0.694219i \(-0.244250\pi\)
−0.694219 + 0.719764i \(0.744250\pi\)
\(644\) 1.59010 13.2871i 0.0626589 0.523587i
\(645\) 59.0731 15.4087i 2.32600 0.606717i
\(646\) −7.98789 + 1.69788i −0.314279 + 0.0668021i
\(647\) −4.00850 0.210077i −0.157591 0.00825897i −0.0266225 0.999646i \(-0.508475\pi\)
−0.130968 + 0.991387i \(0.541809\pi\)
\(648\) 21.5453 + 17.4471i 0.846381 + 0.685386i
\(649\) −6.62658 11.4776i −0.260116 0.450534i
\(650\) 2.25629 + 1.04070i 0.0884989 + 0.0408198i
\(651\) 16.5998 1.50361i 0.650598 0.0589312i
\(652\) 6.79294 + 1.07590i 0.266032 + 0.0421353i
\(653\) 20.0851 30.9283i 0.785991 1.21032i −0.187651 0.982236i \(-0.560087\pi\)
0.973641 0.228084i \(-0.0732461\pi\)
\(654\) −23.8361 26.4726i −0.932064 1.03516i
\(655\) 3.20650 1.20648i 0.125288 0.0471410i
\(656\) 2.83333 + 2.55114i 0.110623 + 0.0996053i
\(657\) −78.9644 + 78.9644i −3.08070 + 3.08070i
\(658\) −5.14546 + 0.739247i −0.200591 + 0.0288188i
\(659\) 4.41840 6.08141i 0.172117 0.236898i −0.714241 0.699900i \(-0.753228\pi\)
0.886357 + 0.463002i \(0.153228\pi\)
\(660\) 5.04950 + 15.8994i 0.196551 + 0.618884i
\(661\) 16.0065 1.68235i 0.622580 0.0654358i 0.212014 0.977267i \(-0.431998\pi\)
0.410566 + 0.911831i \(0.365331\pi\)
\(662\) 33.2915 + 12.7794i 1.29391 + 0.496685i
\(663\) −7.44540 + 6.02917i −0.289156 + 0.234154i
\(664\) −3.11192 + 2.26094i −0.120766 + 0.0877417i
\(665\) 5.36656 + 6.21830i 0.208106 + 0.241135i
\(666\) 25.3521 + 18.4194i 0.982375 + 0.713737i
\(667\) −37.6099 + 1.97105i −1.45626 + 0.0763194i
\(668\) −7.75742 + 2.07859i −0.300144 + 0.0804232i
\(669\) 3.96664 18.6616i 0.153359 0.721498i
\(670\) 13.0012 + 25.9409i 0.502280 + 1.00219i
\(671\) 24.9660 + 8.11194i 0.963801 + 0.313158i
\(672\) −4.61789 7.33998i −0.178139 0.283146i
\(673\) −0.886383 + 5.59640i −0.0341676 + 0.215725i −0.998865 0.0476361i \(-0.984831\pi\)
0.964697 + 0.263362i \(0.0848312\pi\)
\(674\) −11.1989 + 6.46568i −0.431365 + 0.249049i
\(675\) 69.7183 34.3641i 2.68346 1.32268i
\(676\) −6.37652 + 11.0445i −0.245251 + 0.424787i
\(677\) −36.3085 + 13.9375i −1.39545 + 0.535663i −0.935830 0.352452i \(-0.885348\pi\)
−0.459620 + 0.888115i \(0.652015\pi\)
\(678\) 3.23786 1.64977i 0.124349 0.0633592i
\(679\) 21.3918 + 19.8259i 0.820942 + 0.760847i
\(680\) 4.79482 12.2471i 0.183873 0.469655i
\(681\) 27.6205 30.6756i 1.05842 1.17549i
\(682\) −1.13231 4.22585i −0.0433585 0.161816i
\(683\) −12.9304 + 8.39711i −0.494769 + 0.321307i −0.767790 0.640701i \(-0.778644\pi\)
0.273021 + 0.962008i \(0.411977\pi\)
\(684\) 1.12370 10.6913i 0.0429657 0.408792i
\(685\) −13.6978 + 12.1697i −0.523366 + 0.464982i
\(686\) 18.3181 + 2.72878i 0.699389 + 0.104185i
\(687\) 6.82980 + 43.1217i 0.260573 + 1.64519i
\(688\) 5.24215 + 6.47352i 0.199855 + 0.246801i
\(689\) −0.411305 3.91330i −0.0156695 0.149085i
\(690\) 7.46610 + 36.3098i 0.284230 + 1.38229i
\(691\) −7.59918 0.798706i −0.289086 0.0303842i −0.0411246 0.999154i \(-0.513094\pi\)
−0.247962 + 0.968770i \(0.579761\pi\)
\(692\) −10.0930 5.14262i −0.383677 0.195493i
\(693\) 16.0823 + 43.7676i 0.610916 + 1.66260i
\(694\) 9.17912 2.98248i 0.348435 0.113213i
\(695\) 2.46303 + 16.2489i 0.0934280 + 0.616357i
\(696\) −18.1368 + 16.3305i −0.687475 + 0.619005i
\(697\) −1.17365 + 22.3946i −0.0444552 + 0.848256i
\(698\) −1.04725 2.72819i −0.0396391 0.103263i
\(699\) 49.2671 1.86345
\(700\) −13.1181 + 1.70710i −0.495819 + 0.0645225i
\(701\) −16.9486 −0.640141 −0.320070 0.947394i \(-0.603707\pi\)
−0.320070 + 0.947394i \(0.603707\pi\)
\(702\) −2.76849 7.21216i −0.104490 0.272205i
\(703\) 0.294081 5.61139i 0.0110915 0.211638i
\(704\) −1.69151 + 1.52305i −0.0637514 + 0.0574020i
\(705\) 12.8735 6.45199i 0.484843 0.242996i
\(706\) 8.46742 2.75123i 0.318676 0.103544i
\(707\) −32.8294 5.68495i −1.23468 0.213804i
\(708\) −17.0043 8.66412i −0.639061 0.325618i
\(709\) 14.8119 + 1.55679i 0.556273 + 0.0584666i 0.378494 0.925604i \(-0.376442\pi\)
0.177779 + 0.984070i \(0.443109\pi\)
\(710\) −1.00132 + 2.20938i −0.0375789 + 0.0829166i
\(711\) −13.8816 132.075i −0.520603 4.95320i
\(712\) 0.0448562 + 0.0553928i 0.00168106 + 0.00207593i
\(713\) −1.52080 9.60193i −0.0569542 0.359595i
\(714\) 16.4581 48.2782i 0.615928 1.80677i
\(715\) 0.542292 2.47046i 0.0202806 0.0923901i
\(716\) 0.119452 1.13651i 0.00446412 0.0424732i
\(717\) 71.9063 46.6965i 2.68539 1.74391i
\(718\) −0.708745 2.64507i −0.0264501 0.0987132i
\(719\) −5.00566 + 5.55935i −0.186680 + 0.207329i −0.829219 0.558924i \(-0.811214\pi\)
0.642539 + 0.766253i \(0.277881\pi\)
\(720\) 13.3825 + 10.9850i 0.498738 + 0.409386i
\(721\) −8.90428 2.02697i −0.331613 0.0754883i
\(722\) 15.2116 7.75069i 0.566117 0.288451i
\(723\) 9.96328 3.82455i 0.370538 0.142236i
\(724\) 0.770892 1.33522i 0.0286500 0.0496232i
\(725\) 11.0333 + 35.5579i 0.409767 + 1.32059i
\(726\) −16.5176 + 9.53645i −0.613026 + 0.353931i
\(727\) 2.41577 15.2526i 0.0895959 0.565687i −0.901525 0.432726i \(-0.857552\pi\)
0.991121 0.132960i \(-0.0424483\pi\)
\(728\) 0.0499156 + 1.31385i 0.00185000 + 0.0486945i
\(729\) −58.7795 19.0986i −2.17702 0.707356i
\(730\) −22.9551 + 22.6521i −0.849607 + 0.838393i
\(731\) −10.1867 + 47.9245i −0.376767 + 1.77255i
\(732\) 36.5127 9.78356i 1.34955 0.361611i
\(733\) −25.9632 + 1.36067i −0.958971 + 0.0502575i −0.525394 0.850859i \(-0.676082\pi\)
−0.433577 + 0.901117i \(0.642749\pi\)
\(734\) −1.77833 1.29203i −0.0656392 0.0476897i
\(735\) −50.5282 + 8.88294i −1.86376 + 0.327652i
\(736\) −4.09193 + 2.97296i −0.150830 + 0.109585i
\(737\) 22.9544 18.5881i 0.845537 0.684702i
\(738\) −27.5599 10.5793i −1.01450 0.389428i
\(739\) 44.4223 4.66897i 1.63410 0.171751i 0.757455 0.652887i \(-0.226442\pi\)
0.876646 + 0.481136i \(0.159776\pi\)
\(740\) 7.28594 + 5.36786i 0.267836 + 0.197326i
\(741\) −1.32923 + 1.82953i −0.0488306 + 0.0672096i
\(742\) 12.9482 + 16.4686i 0.475344 + 0.604581i
\(743\) −7.07858 + 7.07858i −0.259688 + 0.259688i −0.824927 0.565239i \(-0.808784\pi\)
0.565239 + 0.824927i \(0.308784\pi\)
\(744\) −4.68168 4.21541i −0.171639 0.154544i
\(745\) 0.207174 + 4.52859i 0.00759026 + 0.165915i
\(746\) 17.4197 + 19.3466i 0.637781 + 0.708328i
\(747\) 16.2212 24.9785i 0.593503 0.913914i
\(748\) −13.2232 2.09435i −0.483489 0.0765771i
\(749\) 3.29133 + 36.3362i 0.120263 + 1.32770i
\(750\) 32.9761 15.9825i 1.20412 0.583597i
\(751\) 6.24837 + 10.8225i 0.228006 + 0.394918i 0.957217 0.289371i \(-0.0934460\pi\)
−0.729211 + 0.684289i \(0.760113\pi\)
\(752\) 1.52691 + 1.23647i 0.0556807 + 0.0450894i
\(753\) 19.7460 + 1.03485i 0.719586 + 0.0377119i
\(754\) 3.61944 0.769336i 0.131812 0.0280176i
\(755\) −11.6090 18.1390i −0.422495 0.660146i
\(756\) 32.9232 + 24.6514i 1.19740 + 0.896565i
\(757\) 17.2713 + 17.2713i 0.627736 + 0.627736i 0.947498 0.319762i \(-0.103603\pi\)
−0.319762 + 0.947498i \(0.603603\pi\)
\(758\) 1.30850 + 24.9676i 0.0475267 + 0.906863i
\(759\) 34.4718 15.3478i 1.25125 0.557090i
\(760\) 0.345019 3.08531i 0.0125151 0.111916i
\(761\) −10.5374 + 23.6674i −0.381981 + 0.857943i 0.615575 + 0.788078i \(0.288924\pi\)
−0.997556 + 0.0698653i \(0.977743\pi\)
\(762\) −61.6773 + 9.76873i −2.23433 + 0.353884i
\(763\) −20.0382 20.6232i −0.725431 0.746610i
\(764\) 2.34213 + 3.22367i 0.0847353 + 0.116628i
\(765\) −0.676575 + 101.834i −0.0244616 + 3.68182i
\(766\) −11.0379 24.7915i −0.398815 0.895752i
\(767\) 1.57593 + 2.42671i 0.0569034 + 0.0876235i
\(768\) −0.848314 + 3.16595i −0.0306109 + 0.114241i
\(769\) −6.30891 19.4168i −0.227505 0.700189i −0.998028 0.0627761i \(-0.980005\pi\)
0.770522 0.637413i \(-0.219995\pi\)
\(770\) 4.56033 + 12.6702i 0.164343 + 0.456603i
\(771\) 2.86275 8.81065i 0.103100 0.317308i
\(772\) 14.6222 + 9.49579i 0.526266 + 0.341761i
\(773\) −1.66856 + 2.06051i −0.0600141 + 0.0741112i −0.806269 0.591549i \(-0.798517\pi\)
0.746255 + 0.665660i \(0.231850\pi\)
\(774\) −55.8562 32.2486i −2.00771 1.15915i
\(775\) −8.83063 + 3.79187i −0.317206 + 0.136208i
\(776\) 11.0238i 0.395733i
\(777\) 29.1563 + 19.5364i 1.04598 + 0.700863i
\(778\) 8.51574 + 16.7131i 0.305304 + 0.599193i
\(779\) 1.10056 + 5.17774i 0.0394318 + 0.185512i
\(780\) −1.28260 3.40882i −0.0459246 0.122055i
\(781\) 2.41523 + 0.513373i 0.0864237 + 0.0183699i
\(782\) −28.7362 7.69984i −1.02760 0.275346i
\(783\) 52.5506 103.136i 1.87801 3.68579i
\(784\) −3.94987 5.77914i −0.141067 0.206398i
\(785\) 25.7154 + 5.64479i 0.917820 + 0.201471i
\(786\) −4.58763 2.04254i −0.163635 0.0728552i
\(787\) 0.666193 1.73549i 0.0237472 0.0618636i −0.921194 0.389103i \(-0.872785\pi\)
0.944941 + 0.327239i \(0.106118\pi\)
\(788\) 1.06037 2.76235i 0.0377740 0.0984045i
\(789\) 9.17327 + 4.08420i 0.326577 + 0.145401i
\(790\) −3.75539 38.1677i −0.133611 1.35795i
\(791\) 2.56121 1.42999i 0.0910660 0.0508445i
\(792\) 8.00115 15.7031i 0.284308 0.557987i
\(793\) −5.53597 1.48336i −0.196588 0.0526756i
\(794\) −16.4051 3.48702i −0.582196 0.123750i
\(795\) −48.4584 31.9290i −1.71864 1.13240i
\(796\) 0.443819 + 2.08800i 0.0157307 + 0.0740073i
\(797\) 16.5694 + 32.5192i 0.586917 + 1.15189i 0.973297 + 0.229549i \(0.0737252\pi\)
−0.386380 + 0.922340i \(0.626275\pi\)
\(798\) 0.803019 12.0131i 0.0284266 0.425258i
\(799\) 11.5565i 0.408840i
\(800\) 3.84358 + 3.19795i 0.135891 + 0.113065i
\(801\) −0.477952 0.275946i −0.0168876 0.00975006i
\(802\) −16.2037 + 20.0099i −0.572171 + 0.706573i
\(803\) 27.5320 + 17.8795i 0.971582 + 0.630953i
\(804\) 13.1433 40.4509i 0.463528 1.42659i
\(805\) 7.13512 + 29.0598i 0.251480 + 1.02422i
\(806\) 0.295162 + 0.908415i 0.0103966 + 0.0319975i
\(807\) 5.49925 20.5235i 0.193583 0.722460i
\(808\) 6.85865 + 10.5614i 0.241286 + 0.371548i
\(809\) 3.25720 + 7.31580i 0.114517 + 0.257210i 0.961707 0.274081i \(-0.0883737\pi\)
−0.847189 + 0.531291i \(0.821707\pi\)
\(810\) −58.8294 19.5479i −2.06705 0.686842i
\(811\) 11.9374 + 16.4304i 0.419179 + 0.576950i 0.965427 0.260673i \(-0.0839445\pi\)
−0.546248 + 0.837623i \(0.683945\pi\)
\(812\) −14.1293 + 13.7285i −0.495841 + 0.481775i
\(813\) −60.0224 + 9.50661i −2.10508 + 0.333411i
\(814\) 3.74688 8.41562i 0.131328 0.294967i
\(815\) −15.0637 + 3.09742i −0.527657 + 0.108498i
\(816\) −17.6119 + 7.84132i −0.616539 + 0.274501i
\(817\) 0.605272 + 11.5493i 0.0211758 + 0.404058i
\(818\) 6.95572 + 6.95572i 0.243201 + 0.243201i
\(819\) −4.00650 9.35880i −0.139998 0.327023i
\(820\) −7.93856 3.10800i −0.277226 0.108536i
\(821\) −36.5778 + 7.77486i −1.27658 + 0.271344i −0.795832 0.605517i \(-0.792966\pi\)
−0.480743 + 0.876861i \(0.659633\pi\)
\(822\) 26.8211 + 1.40563i 0.935493 + 0.0490271i
\(823\) 20.2432 + 16.3926i 0.705632 + 0.571409i 0.913545 0.406738i \(-0.133334\pi\)
−0.207913 + 0.978147i \(0.566667\pi\)
\(824\) 1.72580 + 2.98917i 0.0601211 + 0.104133i
\(825\) −23.0877 29.2985i −0.803810 1.02004i
\(826\) −13.9817 6.46765i −0.486486 0.225038i
\(827\) 2.16353 + 0.342670i 0.0752333 + 0.0119158i 0.193938 0.981014i \(-0.437874\pi\)
−0.118704 + 0.992930i \(0.537874\pi\)
\(828\) 21.3296 32.8447i 0.741254 1.14143i
\(829\) −23.2737 25.8481i −0.808330 0.897742i 0.188101 0.982150i \(-0.439767\pi\)
−0.996431 + 0.0844080i \(0.973100\pi\)
\(830\) 4.73234 7.18224i 0.164262 0.249299i
\(831\) −50.5269 45.4946i −1.75276 1.57819i
\(832\) 0.351394 0.351394i 0.0121824 0.0121824i
\(833\) 11.7961 39.4471i 0.408710 1.36676i
\(834\) 14.1596 19.4890i 0.490308 0.674850i
\(835\) 14.5982 10.4587i 0.505190 0.361938i
\(836\) −3.14289 + 0.330331i −0.108699 + 0.0114247i
\(837\) 27.8948 + 10.7078i 0.964186 + 0.370116i
\(838\) 24.9828 20.2307i 0.863016 0.698856i
\(839\) −6.31225 + 4.58612i −0.217923 + 0.158330i −0.691391 0.722480i \(-0.743002\pi\)
0.473468 + 0.880811i \(0.343002\pi\)
\(840\) 15.4443 + 11.7250i 0.532879 + 0.404550i
\(841\) 21.3937 + 15.5434i 0.737712 + 0.535979i
\(842\) 3.61642 0.189529i 0.124630 0.00653159i
\(843\) 86.8141 23.2618i 2.99004 0.801178i
\(844\) 1.33566 6.28380i 0.0459754 0.216297i
\(845\) 4.64802 28.1353i 0.159897 0.967885i
\(846\) −14.4684 4.70107i −0.497434 0.161626i
\(847\) −13.0314 + 8.19860i −0.447764 + 0.281707i
\(848\) 1.23866 7.82059i 0.0425357 0.268560i
\(849\) −34.3277 + 19.8191i −1.17812 + 0.680191i
\(850\) −0.390768 + 29.4067i −0.0134032 + 1.00864i
\(851\) 10.2351 17.7278i 0.350856 0.607701i
\(852\) 3.31943 1.27421i 0.113722 0.0436538i
\(853\) 24.6814 12.5758i 0.845076 0.430588i 0.0228431 0.999739i \(-0.492728\pi\)
0.822233 + 0.569151i \(0.192728\pi\)
\(854\) 29.1525 9.01067i 0.997578 0.308339i
\(855\) 6.06713 + 23.2599i 0.207491 + 0.795471i
\(856\) 9.22733 10.2480i 0.315384 0.350269i
\(857\) 4.06202 + 15.1597i 0.138756 + 0.517844i 0.999954 + 0.00957488i \(0.00304782\pi\)
−0.861198 + 0.508269i \(0.830286\pi\)
\(858\) −3.10931 + 2.01921i −0.106150 + 0.0689347i
\(859\) 5.05731 48.1171i 0.172553 1.64174i −0.475195 0.879881i \(-0.657622\pi\)
0.647748 0.761855i \(-0.275711\pi\)
\(860\) −16.0685 9.42003i −0.547931 0.321220i
\(861\) −31.2939 10.6681i −1.06649 0.363568i
\(862\) 1.51424 + 9.56055i 0.0515753 + 0.325634i
\(863\) 5.13880 + 6.34588i 0.174927 + 0.216016i 0.857067 0.515205i \(-0.172284\pi\)
−0.682141 + 0.731221i \(0.738951\pi\)
\(864\) −1.62494 15.4603i −0.0552817 0.525970i
\(865\) 25.1724 + 2.81493i 0.855886 + 0.0957105i
\(866\) 31.5653 + 3.31764i 1.07263 + 0.112738i
\(867\) −51.3883 26.1836i −1.74524 0.889243i
\(868\) −3.90558 3.25681i −0.132564 0.110543i
\(869\) −37.1289 + 12.0639i −1.25951 + 0.409240i
\(870\) 25.0978 48.4587i 0.850897 1.64290i
\(871\) −4.79231 + 4.31501i −0.162381 + 0.146209i
\(872\) −0.568805 + 10.8534i −0.0192622 + 0.367544i
\(873\) 30.5890 + 79.6870i 1.03528 + 2.69700i
\(874\) −7.02236 −0.237535
\(875\) 26.1098 13.9025i 0.882671 0.469992i
\(876\) 47.2720 1.59717
\(877\) 7.17601 + 18.6942i 0.242317 + 0.631257i 0.999766 0.0216374i \(-0.00688793\pi\)
−0.757449 + 0.652894i \(0.773555\pi\)
\(878\) 0.847625 16.1737i 0.0286060 0.545834i
\(879\) 68.3792 61.5689i 2.30637 2.07667i
\(880\) 2.34073 4.51945i 0.0789059 0.152351i
\(881\) 3.33402 1.08329i 0.112326 0.0364969i −0.252315 0.967645i \(-0.581192\pi\)
0.364641 + 0.931148i \(0.381192\pi\)
\(882\) 44.5881 + 30.8151i 1.50136 + 1.03760i
\(883\) −44.5117 22.6798i −1.49794 0.763237i −0.503052 0.864256i \(-0.667790\pi\)
−0.994884 + 0.101019i \(0.967790\pi\)
\(884\) 2.90696 + 0.305534i 0.0977717 + 0.0102762i
\(885\) 42.4096 + 4.74251i 1.42558 + 0.159418i
\(886\) 3.55172 + 33.7924i 0.119322 + 1.13528i
\(887\) 7.89247 + 9.74639i 0.265003 + 0.327252i 0.892227 0.451587i \(-0.149142\pi\)
−0.627224 + 0.778839i \(0.715809\pi\)
\(888\) −2.07514 13.1019i −0.0696370 0.439671i
\(889\) −49.4515 + 9.76989i −1.65855 + 0.327672i
\(890\) −0.137495 0.0806056i −0.00460885 0.00270191i
\(891\) −6.59611 + 62.7578i −0.220978 + 2.10246i
\(892\) −4.88174 + 3.17024i −0.163453 + 0.106147i
\(893\) 0.706025 + 2.63492i 0.0236262 + 0.0881743i
\(894\) 4.44635 4.93817i 0.148708 0.165157i
\(895\) 0.644948 + 2.47257i 0.0215582 + 0.0826490i
\(896\) −0.587255 + 2.57975i −0.0196188 + 0.0861835i
\(897\) −7.34043 + 3.74014i −0.245090 + 0.124880i
\(898\) 7.05071 2.70651i 0.235285 0.0903175i
\(899\) −7.15592 + 12.3944i −0.238663 + 0.413377i
\(900\) −36.6574 12.4516i −1.22191 0.415053i
\(901\) 40.3334 23.2865i 1.34370 0.775786i
\(902\) −1.35756 + 8.57128i −0.0452017 + 0.285392i
\(903\) −63.8834 33.7165i −2.12591 1.12201i
\(904\) −1.05444 0.342610i −0.0350703 0.0113950i
\(905\) −0.561924 + 3.40143i −0.0186790 + 0.113067i
\(906\) −6.56321 + 30.8775i −0.218048 + 1.02584i
\(907\) 27.0557 7.24955i 0.898369 0.240717i 0.220053 0.975488i \(-0.429377\pi\)
0.678316 + 0.734771i \(0.262710\pi\)
\(908\) −12.5766 + 0.659113i −0.417370 + 0.0218734i
\(909\) −78.8843 57.3128i −2.61643 1.90095i
\(910\) −1.13905 2.71035i −0.0377593 0.0898474i
\(911\) −25.6386 + 18.6275i −0.849445 + 0.617158i −0.924993 0.379984i \(-0.875929\pi\)
0.0755477 + 0.997142i \(0.475929\pi\)
\(912\) −3.53652 + 2.86381i −0.117106 + 0.0948304i
\(913\) −8.17382 3.13764i −0.270514 0.103841i
\(914\) 17.3556 1.82414i 0.574071 0.0603373i
\(915\) −68.7108 + 49.2272i −2.27151 + 1.62740i
\(916\) 7.82949 10.7764i 0.258694 0.356061i
\(917\) −3.76312 1.50699i −0.124269 0.0497652i
\(918\) 64.6553 64.6553i 2.13394 2.13394i
\(919\) −6.53071 5.88028i −0.215428 0.193972i 0.554350 0.832283i \(-0.312967\pi\)
−0.769779 + 0.638311i \(0.779633\pi\)
\(920\) 6.22265 9.44407i 0.205155 0.311362i
\(921\) −40.9639 45.4950i −1.34981 1.49911i
\(922\) −0.0499869 + 0.0769731i −0.00164623 + 0.00253497i
\(923\) −0.532453 0.0843323i −0.0175259 0.00277583i
\(924\) 8.28690 17.9146i 0.272619 0.589346i
\(925\) −19.4751 5.49671i −0.640338 0.180731i
\(926\) 21.0148 + 36.3988i 0.690590 + 1.19614i
\(927\) −20.7695 16.8188i −0.682160 0.552402i
\(928\) 7.43587 + 0.389697i 0.244094 + 0.0127924i
\(929\) 23.8655 5.07277i 0.783002 0.166432i 0.200969 0.979598i \(-0.435591\pi\)
0.582033 + 0.813165i \(0.302257\pi\)
\(930\) 13.1174 + 5.13553i 0.430135 + 0.168401i
\(931\) 0.279594 9.71473i 0.00916333 0.318387i
\(932\) −10.6287 10.6287i −0.348155 0.348155i
\(933\) −4.22441 80.6065i −0.138301 2.63894i
\(934\) −24.1876 + 10.7690i −0.791443 + 0.352373i
\(935\) 29.3231 6.02949i 0.958969 0.197185i
\(936\) −1.56504 + 3.51514i −0.0511550 + 0.114896i
\(937\) −19.5884 + 3.10250i −0.639926 + 0.101354i −0.467962 0.883749i \(-0.655011\pi\)
−0.171965 + 0.985103i \(0.555011\pi\)
\(938\) 9.36216 33.0318i 0.305686 1.07853i
\(939\) −1.17746 1.62063i −0.0384249 0.0528873i
\(940\) −4.16922 1.38535i −0.135985 0.0451852i
\(941\) 12.1208 + 27.2237i 0.395126 + 0.887467i 0.996103 + 0.0882009i \(0.0281117\pi\)
−0.600977 + 0.799266i \(0.705222\pi\)
\(942\) −21.0182 32.3652i −0.684810 1.05452i
\(943\) −4.99103 + 18.6268i −0.162530 + 0.606571i
\(944\) 1.79928 + 5.53762i 0.0585617 + 0.180234i
\(945\) −88.3143 25.6659i −2.87286 0.834912i
\(946\) −5.85899 + 18.0321i −0.190492 + 0.586274i
\(947\) −0.206239 0.133933i −0.00670185 0.00435223i 0.541284 0.840840i \(-0.317938\pi\)
−0.547986 + 0.836488i \(0.684605\pi\)
\(948\) −35.3782 + 43.6884i −1.14903 + 1.41893i
\(949\) −6.20703 3.58363i −0.201489 0.116330i
\(950\) 1.70746 + 6.72871i 0.0553973 + 0.218308i
\(951\) 17.4953i 0.567324i
\(952\) −13.9660 + 6.86478i −0.452641 + 0.222489i
\(953\) −8.27253 16.2358i −0.267974 0.525928i 0.717331 0.696732i \(-0.245363\pi\)
−0.985305 + 0.170804i \(0.945363\pi\)
\(954\) 12.7468 + 59.9690i 0.412693 + 1.94157i
\(955\) −7.44014 4.90227i −0.240757 0.158634i
\(956\) −25.5870 5.43869i −0.827543 0.175900i
\(957\) −53.6579 14.3776i −1.73451 0.464762i
\(958\) −10.1212 + 19.8640i −0.327002 + 0.641778i
\(959\) 21.6778 + 0.311884i 0.700013 + 0.0100713i
\(960\) −0.717648 7.29379i −0.0231620 0.235406i
\(961\) 24.9450 + 11.1062i 0.804676 + 0.358265i
\(962\) −0.720763 + 1.87765i −0.0232383 + 0.0605380i
\(963\) −38.2646 + 99.6827i −1.23306 + 3.21223i
\(964\) −2.97454 1.32435i −0.0958036 0.0426545i
\(965\) −38.0793 8.35880i −1.22582 0.269079i
\(966\) 22.4747 37.6655i 0.723113 1.21187i
\(967\) −7.65618 + 15.0261i −0.246206 + 0.483207i −0.980728 0.195378i \(-0.937407\pi\)
0.734522 + 0.678585i \(0.237407\pi\)
\(968\) 5.62083 + 1.50610i 0.180660 + 0.0484077i
\(969\) −26.1814 5.56503i −0.841067 0.178774i
\(970\) 8.68070 + 23.0710i 0.278720 + 0.740764i
\(971\) 5.67208 + 26.6850i 0.182026 + 0.856363i 0.970463 + 0.241249i \(0.0775570\pi\)
−0.788438 + 0.615115i \(0.789110\pi\)
\(972\) 20.0808 + 39.4108i 0.644091 + 1.26410i
\(973\) 10.8243 16.1544i 0.347013 0.517887i
\(974\) 19.9653i 0.639730i
\(975\) 5.36854 + 6.12408i 0.171931 + 0.196128i
\(976\) −9.98782 5.76647i −0.319702 0.184580i
\(977\) −20.1091 + 24.8327i −0.643347 + 0.794467i −0.989626 0.143664i \(-0.954111\pi\)
0.346280 + 0.938131i \(0.387445\pi\)
\(978\) 18.9056 + 12.2774i 0.604533 + 0.392589i
\(979\) −0.0501343 + 0.154298i −0.00160230 + 0.00493137i
\(980\) 12.8172 + 8.98443i 0.409430 + 0.286997i
\(981\) −26.0045 80.0336i −0.830260 2.55528i
\(982\) 2.38216 8.89034i 0.0760177 0.283702i
\(983\) 12.3792 + 19.0622i 0.394834 + 0.607991i 0.979053 0.203605i \(-0.0652659\pi\)
−0.584219 + 0.811596i \(0.698599\pi\)
\(984\) 5.08273 + 11.4160i 0.162032 + 0.363929i
\(985\) −0.0439566 + 6.61610i −0.00140057 + 0.210806i
\(986\) 25.7431 + 35.4324i 0.819828 + 1.12840i
\(987\) −16.3924 4.64608i −0.521776 0.147886i
\(988\) 0.681463 0.107933i 0.0216802 0.00343381i
\(989\) −17.1365 + 38.4892i −0.544908 + 1.22388i
\(990\) −4.37961 + 39.1644i −0.139193 + 1.24473i
\(991\) −32.9709 + 14.6796i −1.04735 + 0.466312i −0.856953 0.515394i \(-0.827646\pi\)
−0.190401 + 0.981706i \(0.560979\pi\)
\(992\) 0.100593 + 1.91943i 0.00319383 + 0.0609420i
\(993\) 82.6469 + 82.6469i 2.62272 + 2.62272i
\(994\) 2.63851 1.12954i 0.0836885 0.0358270i
\(995\) −2.57303 4.02034i −0.0815705 0.127453i
\(996\) −12.3321 + 2.62126i −0.390757 + 0.0830579i
\(997\) −14.2649 0.747591i −0.451774 0.0236765i −0.174907 0.984585i \(-0.555963\pi\)
−0.276866 + 0.960908i \(0.589296\pi\)
\(998\) 5.99260 + 4.85271i 0.189693 + 0.153610i
\(999\) 31.4577 + 54.4864i 0.995279 + 1.72387i
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 350.2.x.a.227.10 yes 320
7.5 odd 6 inner 350.2.x.a.327.1 yes 320
25.13 odd 20 inner 350.2.x.a.213.1 320
175.138 even 60 inner 350.2.x.a.313.10 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.2.x.a.213.1 320 25.13 odd 20 inner
350.2.x.a.227.10 yes 320 1.1 even 1 trivial
350.2.x.a.313.10 yes 320 175.138 even 60 inner
350.2.x.a.327.1 yes 320 7.5 odd 6 inner