Properties

Label 450.2.v.a.319.7
Level $450$
Weight $2$
Character 450.319
Analytic conductor $3.593$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [450,2,Mod(79,450)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(450, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("450.79");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 450.v (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.59326809096\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 319.7
Character \(\chi\) \(=\) 450.319
Dual form 450.2.v.a.79.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.743145 - 0.669131i) q^{2} +(-0.417886 + 1.68088i) q^{3} +(0.104528 + 0.994522i) q^{4} +(0.153377 - 2.23080i) q^{5} +(1.43528 - 0.969520i) q^{6} +(-1.71704 + 0.991331i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.65074 - 1.40484i) q^{9} +O(q^{10})\) \(q+(-0.743145 - 0.669131i) q^{2} +(-0.417886 + 1.68088i) q^{3} +(0.104528 + 0.994522i) q^{4} +(0.153377 - 2.23080i) q^{5} +(1.43528 - 0.969520i) q^{6} +(-1.71704 + 0.991331i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.65074 - 1.40484i) q^{9} +(-1.60668 + 1.55518i) q^{10} +(0.327913 - 0.364184i) q^{11} +(-1.71536 - 0.239897i) q^{12} +(-2.77362 + 2.49738i) q^{13} +(1.93934 + 0.412219i) q^{14} +(3.68562 + 1.19003i) q^{15} +(-0.978148 + 0.207912i) q^{16} +(-0.627964 + 0.864319i) q^{17} +(1.02987 + 2.81769i) q^{18} +(-5.09178 - 3.69939i) q^{19} +(2.23461 - 0.0806459i) q^{20} +(-0.948787 - 3.30040i) q^{21} +(-0.487373 + 0.0512250i) q^{22} +(-0.301164 + 1.41687i) q^{23} +(1.11424 + 1.32608i) q^{24} +(-4.95295 - 0.684305i) q^{25} +3.73228 q^{26} +(3.46908 - 3.86853i) q^{27} +(-1.16538 - 1.60401i) q^{28} +(-4.50121 - 2.00407i) q^{29} +(-1.94267 - 3.35053i) q^{30} +(3.56152 - 1.58569i) q^{31} +(0.866025 + 0.500000i) q^{32} +(0.475121 + 0.703370i) q^{33} +(1.04501 - 0.222124i) q^{34} +(1.94811 + 3.98241i) q^{35} +(1.12006 - 2.78307i) q^{36} +(-10.7296 - 3.48625i) q^{37} +(1.30855 + 6.15625i) q^{38} +(-3.03875 - 5.70576i) q^{39} +(-1.71460 - 1.43532i) q^{40} +(-6.62412 - 7.35683i) q^{41} +(-1.50331 + 3.08754i) q^{42} +(-0.694080 + 0.400727i) q^{43} +(0.396465 + 0.288049i) q^{44} +(-3.54047 + 5.69781i) q^{45} +(1.17188 - 0.851418i) q^{46} +(-0.225207 + 0.505824i) q^{47} +(0.0592789 - 1.73104i) q^{48} +(-1.53453 + 2.65788i) q^{49} +(3.22287 + 3.82271i) q^{50} +(-1.19040 - 1.41672i) q^{51} +(-2.77362 - 2.49738i) q^{52} +(1.66750 + 2.29511i) q^{53} +(-5.16658 + 0.553613i) q^{54} +(-0.762128 - 0.787365i) q^{55} +(-0.207245 + 1.97180i) q^{56} +(8.34603 - 7.01276i) q^{57} +(2.00407 + 4.50121i) q^{58} +(5.77227 + 6.41075i) q^{59} +(-0.798257 + 3.78983i) q^{60} +(-0.0777798 + 0.0863832i) q^{61} +(-3.70776 - 1.20472i) q^{62} +(5.94408 - 0.215609i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(5.14575 + 6.57044i) q^{65} +(0.117563 - 0.840624i) q^{66} +(4.80956 + 10.8024i) q^{67} +(-0.925224 - 0.534178i) q^{68} +(-2.25573 - 1.09831i) q^{69} +(1.21703 - 4.26305i) q^{70} +(6.65880 - 4.83790i) q^{71} +(-2.69460 + 1.31875i) q^{72} +(-5.73175 + 1.86236i) q^{73} +(5.64087 + 9.77028i) q^{74} +(3.22001 - 8.03938i) q^{75} +(3.14689 - 5.45058i) q^{76} +(-0.202011 + 0.950386i) q^{77} +(-1.55967 + 6.27353i) q^{78} +(2.17830 + 0.969840i) q^{79} +(0.313785 + 2.21394i) q^{80} +(5.05287 + 7.44772i) q^{81} +9.89959i q^{82} +(0.518726 + 0.0545203i) q^{83} +(3.18315 - 1.28858i) q^{84} +(1.83181 + 1.53343i) q^{85} +(0.783940 + 0.166632i) q^{86} +(5.24960 - 6.72855i) q^{87} +(-0.101889 - 0.479349i) q^{88} +(-2.68244 - 8.25571i) q^{89} +(6.44366 - 1.86526i) q^{90} +(2.28668 - 7.03767i) q^{91} +(-1.44058 - 0.151411i) q^{92} +(1.17705 + 6.64915i) q^{93} +(0.505824 - 0.225207i) q^{94} +(-9.03357 + 10.7913i) q^{95} +(-1.20234 + 1.24675i) q^{96} +(-6.77256 + 15.2114i) q^{97} +(2.91884 - 0.948389i) q^{98} +(-1.38083 + 0.504694i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 30 q^{4} - 8 q^{5} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 30 q^{4} - 8 q^{5} + 4 q^{9} - 4 q^{11} + 10 q^{12} + 8 q^{14} - 20 q^{15} + 30 q^{16} - 2 q^{20} + 24 q^{21} + 24 q^{25} - 96 q^{26} + 30 q^{27} + 12 q^{29} - 22 q^{30} + 12 q^{31} + 50 q^{33} - 32 q^{35} + 8 q^{36} - 52 q^{39} - 16 q^{41} - 8 q^{44} - 108 q^{45} - 50 q^{47} - 20 q^{48} + 120 q^{49} - 4 q^{50} - 32 q^{51} - 24 q^{54} + 24 q^{55} - 8 q^{56} + 18 q^{59} + 6 q^{60} - 60 q^{62} - 70 q^{63} + 60 q^{64} - 64 q^{65} - 16 q^{66} - 30 q^{67} - 8 q^{69} + 24 q^{70} + 76 q^{71} - 80 q^{74} - 6 q^{75} + 80 q^{77} - 20 q^{78} + 12 q^{79} - 4 q^{80} - 36 q^{81} - 140 q^{83} - 18 q^{84} + 12 q^{85} - 20 q^{86} - 150 q^{87} - 28 q^{89} + 62 q^{90} - 40 q^{92} + 36 q^{95} - 28 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{9}{10}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.743145 0.669131i −0.525483 0.473147i
\(3\) −0.417886 + 1.68088i −0.241267 + 0.970459i
\(4\) 0.104528 + 0.994522i 0.0522642 + 0.497261i
\(5\) 0.153377 2.23080i 0.0685921 0.997645i
\(6\) 1.43528 0.969520i 0.585951 0.395805i
\(7\) −1.71704 + 0.991331i −0.648978 + 0.374688i −0.788065 0.615592i \(-0.788917\pi\)
0.139086 + 0.990280i \(0.455583\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −2.65074 1.40484i −0.883581 0.468279i
\(10\) −1.60668 + 1.55518i −0.508076 + 0.491791i
\(11\) 0.327913 0.364184i 0.0988693 0.109806i −0.691679 0.722205i \(-0.743129\pi\)
0.790549 + 0.612399i \(0.209795\pi\)
\(12\) −1.71536 0.239897i −0.495181 0.0692522i
\(13\) −2.77362 + 2.49738i −0.769264 + 0.692649i −0.957166 0.289539i \(-0.906498\pi\)
0.187902 + 0.982188i \(0.439831\pi\)
\(14\) 1.93934 + 0.412219i 0.518309 + 0.110170i
\(15\) 3.68562 + 1.19003i 0.951624 + 0.307264i
\(16\) −0.978148 + 0.207912i −0.244537 + 0.0519779i
\(17\) −0.627964 + 0.864319i −0.152304 + 0.209628i −0.878350 0.478017i \(-0.841356\pi\)
0.726047 + 0.687645i \(0.241356\pi\)
\(18\) 1.02987 + 2.81769i 0.242742 + 0.664136i
\(19\) −5.09178 3.69939i −1.16813 0.848699i −0.177350 0.984148i \(-0.556752\pi\)
−0.990784 + 0.135449i \(0.956752\pi\)
\(20\) 2.23461 0.0806459i 0.499675 0.0180330i
\(21\) −0.948787 3.30040i −0.207042 0.720207i
\(22\) −0.487373 + 0.0512250i −0.103908 + 0.0109212i
\(23\) −0.301164 + 1.41687i −0.0627970 + 0.295437i −0.998328 0.0578087i \(-0.981589\pi\)
0.935531 + 0.353246i \(0.114922\pi\)
\(24\) 1.11424 + 1.32608i 0.227443 + 0.270684i
\(25\) −4.95295 0.684305i −0.990590 0.136861i
\(26\) 3.73228 0.731960
\(27\) 3.46908 3.86853i 0.667624 0.744499i
\(28\) −1.16538 1.60401i −0.220236 0.303129i
\(29\) −4.50121 2.00407i −0.835855 0.372146i −0.0562487 0.998417i \(-0.517914\pi\)
−0.779606 + 0.626270i \(0.784581\pi\)
\(30\) −1.94267 3.35053i −0.354681 0.611720i
\(31\) 3.56152 1.58569i 0.639668 0.284799i −0.0611607 0.998128i \(-0.519480\pi\)
0.700829 + 0.713329i \(0.252814\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 0.475121 + 0.703370i 0.0827079 + 0.122441i
\(34\) 1.04501 0.222124i 0.179218 0.0380939i
\(35\) 1.94811 + 3.98241i 0.329291 + 0.673151i
\(36\) 1.12006 2.78307i 0.186677 0.463844i
\(37\) −10.7296 3.48625i −1.76393 0.573136i −0.766336 0.642440i \(-0.777922\pi\)
−0.997596 + 0.0693035i \(0.977922\pi\)
\(38\) 1.30855 + 6.15625i 0.212275 + 0.998676i
\(39\) −3.03875 5.70576i −0.486589 0.913653i
\(40\) −1.71460 1.43532i −0.271103 0.226943i
\(41\) −6.62412 7.35683i −1.03451 1.14894i −0.988687 0.149994i \(-0.952075\pi\)
−0.0458263 0.998949i \(-0.514592\pi\)
\(42\) −1.50331 + 3.08754i −0.231966 + 0.476418i
\(43\) −0.694080 + 0.400727i −0.105846 + 0.0611103i −0.551989 0.833852i \(-0.686131\pi\)
0.446142 + 0.894962i \(0.352797\pi\)
\(44\) 0.396465 + 0.288049i 0.0597693 + 0.0434250i
\(45\) −3.54047 + 5.69781i −0.527783 + 0.849380i
\(46\) 1.17188 0.851418i 0.172784 0.125535i
\(47\) −0.225207 + 0.505824i −0.0328499 + 0.0737820i −0.929225 0.369514i \(-0.879524\pi\)
0.896375 + 0.443296i \(0.146191\pi\)
\(48\) 0.0592789 1.73104i 0.00855617 0.249854i
\(49\) −1.53453 + 2.65788i −0.219218 + 0.379697i
\(50\) 3.22287 + 3.82271i 0.455783 + 0.540613i
\(51\) −1.19040 1.41672i −0.166690 0.198381i
\(52\) −2.77362 2.49738i −0.384632 0.346324i
\(53\) 1.66750 + 2.29511i 0.229048 + 0.315258i 0.908036 0.418891i \(-0.137581\pi\)
−0.678988 + 0.734149i \(0.737581\pi\)
\(54\) −5.16658 + 0.553613i −0.703082 + 0.0753371i
\(55\) −0.762128 0.787365i −0.102765 0.106168i
\(56\) −0.207245 + 1.97180i −0.0276942 + 0.263493i
\(57\) 8.34603 7.01276i 1.10546 0.928863i
\(58\) 2.00407 + 4.50121i 0.263147 + 0.591038i
\(59\) 5.77227 + 6.41075i 0.751485 + 0.834609i 0.990658 0.136368i \(-0.0435430\pi\)
−0.239173 + 0.970977i \(0.576876\pi\)
\(60\) −0.798257 + 3.78983i −0.103055 + 0.489265i
\(61\) −0.0777798 + 0.0863832i −0.00995868 + 0.0110602i −0.748104 0.663582i \(-0.769035\pi\)
0.738145 + 0.674642i \(0.235702\pi\)
\(62\) −3.70776 1.20472i −0.470886 0.153000i
\(63\) 5.94408 0.215609i 0.748883 0.0271642i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 5.14575 + 6.57044i 0.638252 + 0.814963i
\(66\) 0.117563 0.840624i 0.0144710 0.103474i
\(67\) 4.80956 + 10.8024i 0.587581 + 1.31973i 0.925569 + 0.378578i \(0.123587\pi\)
−0.337989 + 0.941150i \(0.609747\pi\)
\(68\) −0.925224 0.534178i −0.112200 0.0647786i
\(69\) −2.25573 1.09831i −0.271558 0.132221i
\(70\) 1.21703 4.26305i 0.145462 0.509532i
\(71\) 6.65880 4.83790i 0.790255 0.574154i −0.117784 0.993039i \(-0.537579\pi\)
0.908039 + 0.418886i \(0.137579\pi\)
\(72\) −2.69460 + 1.31875i −0.317562 + 0.155417i
\(73\) −5.73175 + 1.86236i −0.670850 + 0.217972i −0.624585 0.780957i \(-0.714732\pi\)
−0.0462652 + 0.998929i \(0.514732\pi\)
\(74\) 5.64087 + 9.77028i 0.655738 + 1.13577i
\(75\) 3.22001 8.03938i 0.371814 0.928307i
\(76\) 3.14689 5.45058i 0.360973 0.625224i
\(77\) −0.202011 + 0.950386i −0.0230213 + 0.108307i
\(78\) −1.55967 + 6.27353i −0.176597 + 0.710337i
\(79\) 2.17830 + 0.969840i 0.245077 + 0.109116i 0.525600 0.850732i \(-0.323841\pi\)
−0.280522 + 0.959848i \(0.590508\pi\)
\(80\) 0.313785 + 2.21394i 0.0350822 + 0.247526i
\(81\) 5.05287 + 7.44772i 0.561430 + 0.827524i
\(82\) 9.89959i 1.09323i
\(83\) 0.518726 + 0.0545203i 0.0569375 + 0.00598438i 0.132954 0.991122i \(-0.457554\pi\)
−0.0760169 + 0.997107i \(0.524220\pi\)
\(84\) 3.18315 1.28858i 0.347310 0.140595i
\(85\) 1.83181 + 1.53343i 0.198688 + 0.166324i
\(86\) 0.783940 + 0.166632i 0.0845345 + 0.0179684i
\(87\) 5.24960 6.72855i 0.562817 0.721376i
\(88\) −0.101889 0.479349i −0.0108614 0.0510987i
\(89\) −2.68244 8.25571i −0.284338 0.875104i −0.986596 0.163181i \(-0.947825\pi\)
0.702258 0.711923i \(-0.252175\pi\)
\(90\) 6.44366 1.86526i 0.679222 0.196616i
\(91\) 2.28668 7.03767i 0.239709 0.737748i
\(92\) −1.44058 0.151411i −0.150191 0.0157857i
\(93\) 1.17705 + 6.64915i 0.122055 + 0.689484i
\(94\) 0.505824 0.225207i 0.0521717 0.0232284i
\(95\) −9.03357 + 10.7913i −0.926825 + 1.10717i
\(96\) −1.20234 + 1.24675i −0.122714 + 0.127245i
\(97\) −6.77256 + 15.2114i −0.687649 + 1.54448i 0.144240 + 0.989543i \(0.453926\pi\)
−0.831889 + 0.554942i \(0.812740\pi\)
\(98\) 2.91884 0.948389i 0.294848 0.0958018i
\(99\) −1.38083 + 0.504694i −0.138779 + 0.0507236i
\(100\) 0.162832 4.99735i 0.0162832 0.499735i
\(101\) 3.45395 + 5.98242i 0.343681 + 0.595273i 0.985113 0.171907i \(-0.0549927\pi\)
−0.641432 + 0.767180i \(0.721659\pi\)
\(102\) −0.0633310 + 1.84936i −0.00627070 + 0.183114i
\(103\) 10.6559 1.11998i 1.04996 0.110355i 0.436199 0.899850i \(-0.356324\pi\)
0.613757 + 0.789495i \(0.289658\pi\)
\(104\) 0.390129 + 3.71183i 0.0382553 + 0.363975i
\(105\) −7.50806 + 1.61035i −0.732712 + 0.157154i
\(106\) 0.296538 2.82137i 0.0288024 0.274036i
\(107\) 9.72536i 0.940186i −0.882617 0.470093i \(-0.844220\pi\)
0.882617 0.470093i \(-0.155780\pi\)
\(108\) 4.20995 + 3.04570i 0.405103 + 0.293073i
\(109\) 5.31961 16.3721i 0.509527 1.56816i −0.283499 0.958973i \(-0.591495\pi\)
0.793025 0.609189i \(-0.208505\pi\)
\(110\) 0.0395212 + 1.09509i 0.00376819 + 0.104413i
\(111\) 10.3437 16.5783i 0.981783 1.57354i
\(112\) 1.47340 1.32666i 0.139224 0.125358i
\(113\) 9.06841 8.16523i 0.853084 0.768120i −0.121394 0.992604i \(-0.538736\pi\)
0.974478 + 0.224484i \(0.0720697\pi\)
\(114\) −10.8948 0.373088i −1.02039 0.0349429i
\(115\) 3.11455 + 0.889151i 0.290434 + 0.0829138i
\(116\) 1.52259 4.68604i 0.141369 0.435088i
\(117\) 10.8606 2.72343i 1.00406 0.251781i
\(118\) 8.62652i 0.794135i
\(119\) 0.221411 2.10659i 0.0202967 0.193110i
\(120\) 3.12911 2.28225i 0.285647 0.208340i
\(121\) 1.12471 + 10.7009i 0.102246 + 0.972809i
\(122\) 0.115603 0.0121504i 0.0104662 0.00110004i
\(123\) 15.1341 8.06006i 1.36460 0.726751i
\(124\) 1.94929 + 3.37626i 0.175051 + 0.303197i
\(125\) −2.28622 + 10.9441i −0.204485 + 0.978870i
\(126\) −4.56158 3.81713i −0.406378 0.340057i
\(127\) −7.32123 + 2.37881i −0.649654 + 0.211085i −0.615262 0.788323i \(-0.710950\pi\)
−0.0343926 + 0.999408i \(0.510950\pi\)
\(128\) −0.406737 + 0.913545i −0.0359508 + 0.0807468i
\(129\) −0.383529 1.33413i −0.0337679 0.117463i
\(130\) 0.572444 8.32597i 0.0502066 0.730236i
\(131\) −6.61841 + 2.94671i −0.578253 + 0.257455i −0.674956 0.737858i \(-0.735837\pi\)
0.0967022 + 0.995313i \(0.469171\pi\)
\(132\) −0.649853 + 0.546040i −0.0565625 + 0.0475267i
\(133\) 12.4101 + 1.30435i 1.07609 + 0.113102i
\(134\) 3.65405 11.2460i 0.315662 0.971506i
\(135\) −8.09785 8.33216i −0.696952 0.717118i
\(136\) 0.330140 + 1.01607i 0.0283093 + 0.0871271i
\(137\) 0.0458833 + 0.215864i 0.00392008 + 0.0184425i 0.980064 0.198681i \(-0.0636658\pi\)
−0.976144 + 0.217124i \(0.930332\pi\)
\(138\) 0.941424 + 2.32558i 0.0801393 + 0.197967i
\(139\) −14.8978 3.16662i −1.26361 0.268589i −0.473085 0.881017i \(-0.656860\pi\)
−0.790527 + 0.612428i \(0.790193\pi\)
\(140\) −3.75696 + 2.35371i −0.317521 + 0.198925i
\(141\) −0.756120 0.589924i −0.0636768 0.0496806i
\(142\) −8.18564 0.860346i −0.686924 0.0721986i
\(143\) 1.82903i 0.152951i
\(144\) 2.88490 + 0.823017i 0.240408 + 0.0685847i
\(145\) −5.16106 + 9.73394i −0.428603 + 0.808360i
\(146\) 5.50568 + 2.45129i 0.455653 + 0.202870i
\(147\) −3.82633 3.69005i −0.315590 0.304350i
\(148\) 2.34561 11.0352i 0.192808 0.907089i
\(149\) 10.0932 17.4819i 0.826864 1.43217i −0.0736231 0.997286i \(-0.523456\pi\)
0.900487 0.434884i \(-0.143210\pi\)
\(150\) −7.77232 + 3.81981i −0.634608 + 0.311887i
\(151\) 11.4587 + 19.8470i 0.932493 + 1.61513i 0.779044 + 0.626969i \(0.215705\pi\)
0.153449 + 0.988157i \(0.450962\pi\)
\(152\) −5.98574 + 1.94489i −0.485508 + 0.157751i
\(153\) 2.87880 1.40890i 0.232737 0.113903i
\(154\) 0.786056 0.571103i 0.0633422 0.0460208i
\(155\) −2.99111 8.18826i −0.240252 0.657697i
\(156\) 5.35687 3.61852i 0.428893 0.289713i
\(157\) 4.80687 + 2.77525i 0.383630 + 0.221489i 0.679397 0.733771i \(-0.262242\pi\)
−0.295766 + 0.955260i \(0.595575\pi\)
\(158\) −0.969840 2.17830i −0.0771563 0.173296i
\(159\) −4.55464 + 1.84377i −0.361207 + 0.146221i
\(160\) 1.24823 1.85524i 0.0986811 0.146670i
\(161\) −0.887473 2.73136i −0.0699427 0.215261i
\(162\) 1.22848 8.91576i 0.0965187 0.700489i
\(163\) −10.8096 3.51225i −0.846672 0.275100i −0.146620 0.989193i \(-0.546840\pi\)
−0.700051 + 0.714093i \(0.746840\pi\)
\(164\) 6.62412 7.35683i 0.517257 0.574472i
\(165\) 1.64195 0.952019i 0.127826 0.0741146i
\(166\) −0.349007 0.387612i −0.0270882 0.0300845i
\(167\) 4.46506 + 10.0287i 0.345517 + 0.776044i 0.999804 + 0.0197975i \(0.00630215\pi\)
−0.654287 + 0.756246i \(0.727031\pi\)
\(168\) −3.22776 1.17234i −0.249027 0.0904482i
\(169\) 0.0972002 0.924798i 0.00747694 0.0711383i
\(170\) −0.335234 2.36528i −0.0257113 0.181409i
\(171\) 8.29995 + 16.9593i 0.634713 + 1.29691i
\(172\) −0.471083 0.648390i −0.0359197 0.0494393i
\(173\) −8.13165 7.32177i −0.618238 0.556664i 0.299377 0.954135i \(-0.403221\pi\)
−0.917615 + 0.397471i \(0.869888\pi\)
\(174\) −8.40349 + 1.48761i −0.637067 + 0.112776i
\(175\) 9.18277 3.73504i 0.694152 0.282342i
\(176\) −0.245029 + 0.424402i −0.0184697 + 0.0319905i
\(177\) −13.1879 + 7.02355i −0.991262 + 0.527922i
\(178\) −3.53071 + 7.93010i −0.264638 + 0.594386i
\(179\) −12.9846 + 9.43386i −0.970514 + 0.705120i −0.955569 0.294768i \(-0.904758\pi\)
−0.0149456 + 0.999888i \(0.504758\pi\)
\(180\) −6.03668 2.92549i −0.449947 0.218053i
\(181\) 19.8738 + 14.4392i 1.47721 + 1.07326i 0.978442 + 0.206522i \(0.0662146\pi\)
0.498770 + 0.866735i \(0.333785\pi\)
\(182\) −6.40845 + 3.69992i −0.475026 + 0.274256i
\(183\) −0.112697 0.166837i −0.00833080 0.0123330i
\(184\) 0.969248 + 1.07646i 0.0714539 + 0.0793576i
\(185\) −9.42280 + 23.4009i −0.692778 + 1.72046i
\(186\) 3.57443 5.72888i 0.262090 0.420062i
\(187\) 0.108853 + 0.512115i 0.00796015 + 0.0374496i
\(188\) −0.526593 0.171101i −0.0384058 0.0124788i
\(189\) −2.12153 + 10.0814i −0.154319 + 0.733314i
\(190\) 13.9341 1.97489i 1.01088 0.143274i
\(191\) −16.6236 + 3.53345i −1.20284 + 0.255671i −0.765387 0.643570i \(-0.777452\pi\)
−0.437452 + 0.899242i \(0.644119\pi\)
\(192\) 1.72775 0.121988i 0.124690 0.00880375i
\(193\) −0.629118 0.363221i −0.0452849 0.0261452i 0.477187 0.878802i \(-0.341657\pi\)
−0.522472 + 0.852657i \(0.674990\pi\)
\(194\) 15.2114 6.77256i 1.09212 0.486241i
\(195\) −13.1945 + 5.90372i −0.944877 + 0.422774i
\(196\) −2.80372 1.24830i −0.200266 0.0891640i
\(197\) 4.12989 + 5.68430i 0.294242 + 0.404990i 0.930386 0.366581i \(-0.119472\pi\)
−0.636144 + 0.771570i \(0.719472\pi\)
\(198\) 1.36386 + 0.548895i 0.0969255 + 0.0390083i
\(199\) −9.58385 −0.679381 −0.339691 0.940537i \(-0.610322\pi\)
−0.339691 + 0.940537i \(0.610322\pi\)
\(200\) −3.46489 + 3.60480i −0.245004 + 0.254898i
\(201\) −20.1675 + 3.57012i −1.42251 + 0.251817i
\(202\) 1.43623 6.75695i 0.101053 0.475418i
\(203\) 9.71544 1.02113i 0.681890 0.0716696i
\(204\) 1.28453 1.33197i 0.0899351 0.0932564i
\(205\) −17.4276 + 13.6487i −1.21720 + 0.953268i
\(206\) −8.66828 6.29788i −0.603948 0.438794i
\(207\) 2.78877 3.33266i 0.193833 0.231636i
\(208\) 2.19378 3.01948i 0.152111 0.209363i
\(209\) −3.01692 + 0.641265i −0.208684 + 0.0443573i
\(210\) 6.65711 + 3.82715i 0.459384 + 0.264098i
\(211\) 7.69799 + 1.63626i 0.529951 + 0.112645i 0.465113 0.885251i \(-0.346014\pi\)
0.0648381 + 0.997896i \(0.479347\pi\)
\(212\) −2.10824 + 1.89827i −0.144794 + 0.130373i
\(213\) 5.34933 + 13.2144i 0.366530 + 0.905434i
\(214\) −6.50754 + 7.22735i −0.444846 + 0.494052i
\(215\) 0.787487 + 1.60982i 0.0537062 + 0.109789i
\(216\) −1.09063 5.08041i −0.0742083 0.345678i
\(217\) −4.54332 + 6.25334i −0.308420 + 0.424504i
\(218\) −14.9083 + 8.60731i −1.00972 + 0.582961i
\(219\) −0.735189 10.4127i −0.0496795 0.703622i
\(220\) 0.703388 0.840255i 0.0474224 0.0566500i
\(221\) −0.416797 3.96556i −0.0280368 0.266752i
\(222\) −18.7799 + 5.39879i −1.26043 + 0.362343i
\(223\) −7.69427 6.92795i −0.515246 0.463930i 0.370014 0.929026i \(-0.379353\pi\)
−0.885260 + 0.465096i \(0.846020\pi\)
\(224\) −1.98266 −0.132472
\(225\) 12.1677 + 8.77200i 0.811177 + 0.584800i
\(226\) −12.2027 −0.811715
\(227\) −12.8164 11.5400i −0.850657 0.765935i 0.123371 0.992361i \(-0.460629\pi\)
−0.974029 + 0.226425i \(0.927296\pi\)
\(228\) 7.84674 + 7.56728i 0.519663 + 0.501155i
\(229\) −3.13099 29.7894i −0.206902 1.96854i −0.245892 0.969297i \(-0.579081\pi\)
0.0389909 0.999240i \(-0.487586\pi\)
\(230\) −1.71961 2.74481i −0.113387 0.180987i
\(231\) −1.51307 0.736710i −0.0995528 0.0484720i
\(232\) −4.26707 + 2.46360i −0.280147 + 0.161743i
\(233\) 5.35435 7.36963i 0.350775 0.482800i −0.596775 0.802409i \(-0.703551\pi\)
0.947550 + 0.319608i \(0.103551\pi\)
\(234\) −9.89331 5.24324i −0.646746 0.342761i
\(235\) 1.09385 + 0.579974i 0.0713550 + 0.0378333i
\(236\) −5.77227 + 6.41075i −0.375743 + 0.417304i
\(237\) −2.54047 + 3.25618i −0.165021 + 0.211512i
\(238\) −1.57412 + 1.41735i −0.102035 + 0.0918729i
\(239\) 23.4137 + 4.97674i 1.51451 + 0.321919i 0.888857 0.458184i \(-0.151500\pi\)
0.625651 + 0.780103i \(0.284833\pi\)
\(240\) −3.85251 0.397740i −0.248678 0.0256740i
\(241\) −9.31126 + 1.97917i −0.599791 + 0.127490i −0.497794 0.867295i \(-0.665857\pi\)
−0.101997 + 0.994785i \(0.532523\pi\)
\(242\) 6.32448 8.70490i 0.406553 0.559572i
\(243\) −14.6303 + 5.38099i −0.938533 + 0.345191i
\(244\) −0.0940401 0.0683242i −0.00602030 0.00437401i
\(245\) 5.69384 + 3.83088i 0.363766 + 0.244746i
\(246\) −16.6401 4.13690i −1.06093 0.263759i
\(247\) 23.3615 2.45539i 1.48645 0.156233i
\(248\) 0.810559 3.81338i 0.0514705 0.242150i
\(249\) −0.308410 + 0.849134i −0.0195447 + 0.0538117i
\(250\) 9.02202 6.60327i 0.570603 0.417628i
\(251\) −29.1751 −1.84152 −0.920759 0.390132i \(-0.872429\pi\)
−0.920759 + 0.390132i \(0.872429\pi\)
\(252\) 0.835753 + 5.88898i 0.0526475 + 0.370971i
\(253\) 0.417244 + 0.574287i 0.0262319 + 0.0361051i
\(254\) 7.03247 + 3.13106i 0.441257 + 0.196460i
\(255\) −3.34301 + 2.43826i −0.209347 + 0.152690i
\(256\) 0.913545 0.406737i 0.0570966 0.0254210i
\(257\) −17.9028 10.3362i −1.11674 0.644752i −0.176176 0.984359i \(-0.556373\pi\)
−0.940568 + 0.339606i \(0.889706\pi\)
\(258\) −0.607686 + 1.24808i −0.0378329 + 0.0777020i
\(259\) 21.8791 4.65055i 1.35950 0.288971i
\(260\) −5.99657 + 5.80436i −0.371891 + 0.359971i
\(261\) 9.11617 + 11.6357i 0.564277 + 0.720234i
\(262\) 6.89017 + 2.23875i 0.425676 + 0.138311i
\(263\) −5.55152 26.1179i −0.342321 1.61050i −0.726452 0.687217i \(-0.758832\pi\)
0.384131 0.923279i \(-0.374501\pi\)
\(264\) 0.848307 + 0.0290501i 0.0522097 + 0.00178791i
\(265\) 5.37569 3.36784i 0.330226 0.206885i
\(266\) −8.34971 9.27329i −0.511954 0.568582i
\(267\) 14.9979 1.05893i 0.917854 0.0648054i
\(268\) −10.2405 + 5.91237i −0.625540 + 0.361156i
\(269\) −1.42571 1.03584i −0.0869271 0.0631562i 0.543473 0.839427i \(-0.317109\pi\)
−0.630400 + 0.776271i \(0.717109\pi\)
\(270\) 0.442568 + 11.6105i 0.0269339 + 0.706594i
\(271\) 25.4004 18.4545i 1.54296 1.12103i 0.594522 0.804080i \(-0.297341\pi\)
0.948442 0.316950i \(-0.102659\pi\)
\(272\) 0.434540 0.975992i 0.0263478 0.0591782i
\(273\) 10.8739 + 6.78458i 0.658121 + 0.410622i
\(274\) 0.110343 0.191120i 0.00666608 0.0115460i
\(275\) −1.87335 + 1.57939i −0.112967 + 0.0952409i
\(276\) 0.856505 2.35818i 0.0515555 0.141946i
\(277\) −14.6529 13.1936i −0.880410 0.792725i 0.0988987 0.995098i \(-0.468468\pi\)
−0.979309 + 0.202373i \(0.935135\pi\)
\(278\) 8.95232 + 12.3218i 0.536924 + 0.739013i
\(279\) −11.6683 0.800095i −0.698564 0.0479004i
\(280\) 4.36691 + 0.764750i 0.260973 + 0.0457025i
\(281\) 0.334326 3.18090i 0.0199442 0.189757i −0.980014 0.198930i \(-0.936253\pi\)
0.999958 + 0.00917345i \(0.00292004\pi\)
\(282\) 0.167171 + 0.944342i 0.00995486 + 0.0562348i
\(283\) 7.21957 + 16.2154i 0.429159 + 0.963907i 0.990650 + 0.136425i \(0.0435611\pi\)
−0.561491 + 0.827483i \(0.689772\pi\)
\(284\) 5.50744 + 6.11663i 0.326806 + 0.362955i
\(285\) −14.3640 19.6939i −0.850850 1.16657i
\(286\) 1.22386 1.35923i 0.0723684 0.0803732i
\(287\) 18.6669 + 6.06524i 1.10187 + 0.358020i
\(288\) −1.59319 2.54200i −0.0938797 0.149788i
\(289\) 4.90058 + 15.0824i 0.288269 + 0.887202i
\(290\) 10.3487 3.78030i 0.607696 0.221987i
\(291\) −22.7385 17.7405i −1.33295 1.03997i
\(292\) −2.45129 5.50568i −0.143451 0.322196i
\(293\) −25.4554 14.6967i −1.48712 0.858590i −0.487230 0.873274i \(-0.661993\pi\)
−0.999892 + 0.0146838i \(0.995326\pi\)
\(294\) 0.374389 + 5.30255i 0.0218348 + 0.309251i
\(295\) 15.1864 11.8935i 0.884189 0.692468i
\(296\) −9.12712 + 6.63124i −0.530503 + 0.385433i
\(297\) −0.271302 2.53192i −0.0157425 0.146917i
\(298\) −19.1983 + 6.23791i −1.11213 + 0.361353i
\(299\) −2.70314 4.68197i −0.156326 0.270765i
\(300\) 8.33192 + 2.36202i 0.481043 + 0.136372i
\(301\) 0.794506 1.37613i 0.0457946 0.0793185i
\(302\) 4.76478 22.4165i 0.274182 1.28993i
\(303\) −11.4991 + 3.30572i −0.660607 + 0.189909i
\(304\) 5.74966 + 2.55991i 0.329765 + 0.146821i
\(305\) 0.180774 + 0.186760i 0.0103511 + 0.0106939i
\(306\) −3.08210 0.879276i −0.176192 0.0502648i
\(307\) 11.4025i 0.650775i −0.945581 0.325387i \(-0.894505\pi\)
0.945581 0.325387i \(-0.105495\pi\)
\(308\) −0.966296 0.101562i −0.0550598 0.00578702i
\(309\) −2.57039 + 18.3793i −0.146225 + 1.04556i
\(310\) −3.25619 + 8.08650i −0.184939 + 0.459283i
\(311\) 0.864676 + 0.183793i 0.0490313 + 0.0104219i 0.232362 0.972629i \(-0.425355\pi\)
−0.183331 + 0.983051i \(0.558688\pi\)
\(312\) −6.40219 0.895361i −0.362453 0.0506898i
\(313\) −3.07726 14.4774i −0.173937 0.818310i −0.975431 0.220307i \(-0.929294\pi\)
0.801494 0.598003i \(-0.204039\pi\)
\(314\) −1.71520 5.27884i −0.0967943 0.297902i
\(315\) 0.430701 13.2931i 0.0242672 0.748983i
\(316\) −0.736833 + 2.26774i −0.0414501 + 0.127570i
\(317\) −6.19651 0.651279i −0.348031 0.0365795i −0.0710993 0.997469i \(-0.522651\pi\)
−0.276931 + 0.960890i \(0.589317\pi\)
\(318\) 4.61848 + 1.67746i 0.258992 + 0.0940673i
\(319\) −2.20585 + 0.982110i −0.123504 + 0.0549876i
\(320\) −2.16901 + 0.543486i −0.121252 + 0.0303818i
\(321\) 16.3472 + 4.06410i 0.912412 + 0.226836i
\(322\) −1.16812 + 2.62363i −0.0650966 + 0.146209i
\(323\) 6.39491 2.07783i 0.355822 0.115614i
\(324\) −6.87875 + 5.80369i −0.382153 + 0.322427i
\(325\) 15.4466 10.4714i 0.856823 0.580849i
\(326\) 5.68293 + 9.84313i 0.314749 + 0.545160i
\(327\) 25.2966 + 15.7833i 1.39890 + 0.872820i
\(328\) −9.84536 + 1.03479i −0.543619 + 0.0571366i
\(329\) −0.114750 1.09177i −0.00632637 0.0601914i
\(330\) −1.85723 0.391192i −0.102237 0.0215344i
\(331\) −0.847868 + 8.06692i −0.0466030 + 0.443398i 0.946195 + 0.323597i \(0.104892\pi\)
−0.992798 + 0.119801i \(0.961774\pi\)
\(332\) 0.521583i 0.0286256i
\(333\) 23.5437 + 24.3145i 1.29019 + 1.33242i
\(334\) 3.39232 10.4405i 0.185619 0.571278i
\(335\) 24.8358 9.07232i 1.35692 0.495674i
\(336\) 1.61425 + 3.03102i 0.0880643 + 0.165355i
\(337\) −22.3890 + 20.1592i −1.21961 + 1.09814i −0.227369 + 0.973809i \(0.573012\pi\)
−0.992241 + 0.124332i \(0.960321\pi\)
\(338\) −0.691045 + 0.622220i −0.0375879 + 0.0338443i
\(339\) 9.93524 + 18.6551i 0.539608 + 1.01320i
\(340\) −1.33355 + 1.98206i −0.0723221 + 0.107492i
\(341\) 0.590385 1.81702i 0.0319711 0.0983970i
\(342\) 5.17989 18.1569i 0.280096 0.981814i
\(343\) 19.9635i 1.07793i
\(344\) −0.0837748 + 0.797064i −0.00451683 + 0.0429748i
\(345\) −2.79609 + 4.86364i −0.150536 + 0.261850i
\(346\) 1.14377 + 10.8823i 0.0614896 + 0.585034i
\(347\) −11.0845 + 1.16503i −0.595046 + 0.0625419i −0.397264 0.917704i \(-0.630040\pi\)
−0.197782 + 0.980246i \(0.563374\pi\)
\(348\) 7.24042 + 4.51752i 0.388127 + 0.242165i
\(349\) 1.74121 + 3.01586i 0.0932046 + 0.161435i 0.908858 0.417106i \(-0.136956\pi\)
−0.815653 + 0.578541i \(0.803622\pi\)
\(350\) −9.32335 3.36880i −0.498354 0.180070i
\(351\) 0.0392846 + 19.3934i 0.00209686 + 1.03515i
\(352\) 0.466072 0.151436i 0.0248417 0.00807157i
\(353\) 14.3807 32.2995i 0.765406 1.71913i 0.0733262 0.997308i \(-0.476639\pi\)
0.692079 0.721821i \(-0.256695\pi\)
\(354\) 14.5002 + 3.60490i 0.770676 + 0.191598i
\(355\) −9.77110 15.5965i −0.518596 0.827776i
\(356\) 7.93010 3.53071i 0.420294 0.187127i
\(357\) 3.44840 + 1.25248i 0.182509 + 0.0662883i
\(358\) 15.9619 + 1.67767i 0.843614 + 0.0886674i
\(359\) −8.30173 + 25.5501i −0.438149 + 1.34848i 0.451676 + 0.892182i \(0.350826\pi\)
−0.889825 + 0.456302i \(0.849174\pi\)
\(360\) 2.52859 + 6.21339i 0.133268 + 0.327475i
\(361\) 6.36937 + 19.6029i 0.335230 + 1.03173i
\(362\) −5.10744 24.0286i −0.268441 1.26292i
\(363\) −18.4570 2.58125i −0.968740 0.135481i
\(364\) 7.23814 + 1.53851i 0.379382 + 0.0806400i
\(365\) 3.27543 + 13.0720i 0.171444 + 0.684222i
\(366\) −0.0278856 + 0.199393i −0.00145760 + 0.0104224i
\(367\) 4.26457 + 0.448224i 0.222609 + 0.0233971i 0.215176 0.976575i \(-0.430967\pi\)
0.00743257 + 0.999972i \(0.497634\pi\)
\(368\) 1.44852i 0.0755093i
\(369\) 7.22369 + 28.8069i 0.376050 + 1.49962i
\(370\) 22.6607 11.0851i 1.17808 0.576289i
\(371\) −5.13837 2.28775i −0.266771 0.118774i
\(372\) −6.48968 + 1.86563i −0.336474 + 0.0967284i
\(373\) 4.23181 19.9091i 0.219115 1.03085i −0.721771 0.692132i \(-0.756672\pi\)
0.940886 0.338723i \(-0.109995\pi\)
\(374\) 0.261778 0.453413i 0.0135362 0.0234454i
\(375\) −17.4404 8.41625i −0.900617 0.434613i
\(376\) 0.276847 + 0.479512i 0.0142773 + 0.0247290i
\(377\) 17.4896 5.68271i 0.900760 0.292675i
\(378\) 8.32238 6.07236i 0.428057 0.312328i
\(379\) 1.98300 1.44073i 0.101860 0.0740055i −0.535689 0.844415i \(-0.679948\pi\)
0.637549 + 0.770410i \(0.279948\pi\)
\(380\) −11.6765 7.85608i −0.598992 0.403009i
\(381\) −0.939067 13.3002i −0.0481098 0.681391i
\(382\) 14.7181 + 8.49747i 0.753041 + 0.434769i
\(383\) −4.81384 10.8121i −0.245976 0.552471i 0.747793 0.663932i \(-0.231114\pi\)
−0.993769 + 0.111461i \(0.964447\pi\)
\(384\) −1.36559 1.06544i −0.0696877 0.0543703i
\(385\) 2.08914 + 0.596413i 0.106472 + 0.0303960i
\(386\) 0.224483 + 0.690888i 0.0114259 + 0.0351653i
\(387\) 2.40278 0.0871559i 0.122140 0.00443038i
\(388\) −15.8360 5.14543i −0.803951 0.261220i
\(389\) 5.74617 6.38177i 0.291342 0.323568i −0.579650 0.814866i \(-0.696811\pi\)
0.870992 + 0.491297i \(0.163477\pi\)
\(390\) 13.7558 + 4.44152i 0.696551 + 0.224905i
\(391\) −1.03550 1.15004i −0.0523676 0.0581601i
\(392\) 1.24830 + 2.80372i 0.0630485 + 0.141609i
\(393\) −2.18733 12.3562i −0.110336 0.623286i
\(394\) 0.734436 6.98769i 0.0370004 0.352035i
\(395\) 2.49762 4.71060i 0.125669 0.237016i
\(396\) −0.646265 1.32051i −0.0324760 0.0663582i
\(397\) −9.95103 13.6964i −0.499428 0.687403i 0.482664 0.875805i \(-0.339669\pi\)
−0.982092 + 0.188402i \(0.939669\pi\)
\(398\) 7.12219 + 6.41285i 0.357003 + 0.321447i
\(399\) −7.37847 + 20.3148i −0.369385 + 1.01701i
\(400\) 4.98699 0.360425i 0.249350 0.0180212i
\(401\) −4.82555 + 8.35811i −0.240977 + 0.417384i −0.960993 0.276574i \(-0.910801\pi\)
0.720016 + 0.693957i \(0.244134\pi\)
\(402\) 17.3762 + 10.8416i 0.866648 + 0.540729i
\(403\) −5.91824 + 13.2926i −0.294809 + 0.662151i
\(404\) −5.58861 + 4.06037i −0.278044 + 0.202011i
\(405\) 17.3894 10.1296i 0.864085 0.503346i
\(406\) −7.90325 5.74205i −0.392232 0.284973i
\(407\) −4.78800 + 2.76435i −0.237332 + 0.137024i
\(408\) −1.84585 + 0.130327i −0.0913833 + 0.00645215i
\(409\) 0.876020 + 0.972919i 0.0433164 + 0.0481077i 0.764414 0.644726i \(-0.223029\pi\)
−0.721097 + 0.692834i \(0.756362\pi\)
\(410\) 22.0840 + 1.51836i 1.09065 + 0.0749867i
\(411\) −0.382017 0.0130821i −0.0188435 0.000645290i
\(412\) 2.22769 + 10.4804i 0.109750 + 0.516335i
\(413\) −16.2664 5.28526i −0.800416 0.260071i
\(414\) −4.30244 + 0.610595i −0.211454 + 0.0300091i
\(415\) 0.201184 1.14881i 0.00987574 0.0563930i
\(416\) −3.65072 + 0.775984i −0.178991 + 0.0380457i
\(417\) 11.5483 23.7181i 0.565522 1.16148i
\(418\) 2.67110 + 1.54216i 0.130648 + 0.0754294i
\(419\) −7.43456 + 3.31008i −0.363202 + 0.161708i −0.580220 0.814460i \(-0.697034\pi\)
0.217018 + 0.976168i \(0.430367\pi\)
\(420\) −2.38634 7.29860i −0.116441 0.356135i
\(421\) −15.9829 7.11606i −0.778960 0.346815i −0.0215609 0.999768i \(-0.506864\pi\)
−0.757399 + 0.652952i \(0.773530\pi\)
\(422\) −4.62585 6.36694i −0.225183 0.309938i
\(423\) 1.30757 1.02443i 0.0635760 0.0498094i
\(424\) 2.83691 0.137773
\(425\) 3.70173 3.85121i 0.179560 0.186811i
\(426\) 4.86681 13.3996i 0.235798 0.649212i
\(427\) 0.0479163 0.225428i 0.00231883 0.0109092i
\(428\) 9.67209 1.01658i 0.467518 0.0491381i
\(429\) −3.07439 0.764327i −0.148433 0.0369020i
\(430\) 0.491960 1.72326i 0.0237244 0.0831029i
\(431\) 10.3807 + 7.54203i 0.500021 + 0.363287i 0.809025 0.587774i \(-0.199996\pi\)
−0.309004 + 0.951061i \(0.599996\pi\)
\(432\) −2.58896 + 4.50525i −0.124561 + 0.216759i
\(433\) −12.3680 + 17.0231i −0.594370 + 0.818080i −0.995178 0.0980819i \(-0.968729\pi\)
0.400808 + 0.916162i \(0.368729\pi\)
\(434\) 7.56064 1.60706i 0.362922 0.0771415i
\(435\) −14.2049 12.7428i −0.681072 0.610972i
\(436\) 16.8384 + 3.57912i 0.806415 + 0.171409i
\(437\) 6.77500 6.10024i 0.324092 0.291814i
\(438\) −6.42108 + 8.23005i −0.306811 + 0.393247i
\(439\) −16.7173 + 18.5665i −0.797875 + 0.886130i −0.995559 0.0941361i \(-0.969991\pi\)
0.197685 + 0.980266i \(0.436658\pi\)
\(440\) −1.08496 + 0.153773i −0.0517234 + 0.00733082i
\(441\) 7.80151 4.88959i 0.371501 0.232838i
\(442\) −2.34374 + 3.22588i −0.111480 + 0.153439i
\(443\) 26.1369 15.0901i 1.24180 0.716953i 0.272339 0.962201i \(-0.412203\pi\)
0.969460 + 0.245248i \(0.0788694\pi\)
\(444\) 17.5687 + 8.55416i 0.833774 + 0.405962i
\(445\) −18.8283 + 4.71777i −0.892546 + 0.223644i
\(446\) 1.08225 + 10.2969i 0.0512461 + 0.487574i
\(447\) 25.1672 + 24.2709i 1.19037 + 1.14797i
\(448\) 1.47340 + 1.32666i 0.0696118 + 0.0626788i
\(449\) 32.5215 1.53479 0.767393 0.641177i \(-0.221554\pi\)
0.767393 + 0.641177i \(0.221554\pi\)
\(450\) −3.17272 14.6606i −0.149563 0.691108i
\(451\) −4.85137 −0.228442
\(452\) 9.06841 + 8.16523i 0.426542 + 0.384060i
\(453\) −38.1489 + 10.9669i −1.79239 + 0.515270i
\(454\) 1.80272 + 17.1518i 0.0846059 + 0.804972i
\(455\) −15.3489 6.18054i −0.719569 0.289748i
\(456\) −0.767769 10.8741i −0.0359541 0.509226i
\(457\) −12.1898 + 7.03776i −0.570213 + 0.329213i −0.757234 0.653143i \(-0.773450\pi\)
0.187022 + 0.982356i \(0.440117\pi\)
\(458\) −17.6062 + 24.2329i −0.822684 + 1.13233i
\(459\) 1.16519 + 5.42768i 0.0543862 + 0.253343i
\(460\) −0.558721 + 3.19043i −0.0260505 + 0.148755i
\(461\) −6.23334 + 6.92282i −0.290316 + 0.322428i −0.870605 0.491982i \(-0.836273\pi\)
0.580290 + 0.814410i \(0.302939\pi\)
\(462\) 0.631476 + 1.55992i 0.0293789 + 0.0725743i
\(463\) −15.8695 + 14.2890i −0.737520 + 0.664066i −0.949699 0.313165i \(-0.898611\pi\)
0.212179 + 0.977231i \(0.431944\pi\)
\(464\) 4.81952 + 1.02442i 0.223741 + 0.0475576i
\(465\) 15.0135 1.60595i 0.696232 0.0744741i
\(466\) −8.91030 + 1.89394i −0.412762 + 0.0877352i
\(467\) −1.58473 + 2.18120i −0.0733326 + 0.100934i −0.844108 0.536174i \(-0.819869\pi\)
0.770775 + 0.637107i \(0.219869\pi\)
\(468\) 3.84375 + 10.5164i 0.177677 + 0.486121i
\(469\) −18.9670 13.7803i −0.875813 0.636316i
\(470\) −0.424811 1.16293i −0.0195951 0.0536421i
\(471\) −6.67360 + 6.92006i −0.307503 + 0.318860i
\(472\) 8.57926 0.901717i 0.394893 0.0415049i
\(473\) −0.0816591 + 0.384176i −0.00375469 + 0.0176644i
\(474\) 4.06675 0.719909i 0.186792 0.0330665i
\(475\) 22.6878 + 21.8072i 1.04099 + 1.00059i
\(476\) 2.11819 0.0970871
\(477\) −1.19585 8.42631i −0.0547541 0.385814i
\(478\) −14.0697 19.3653i −0.643533 0.885747i
\(479\) −2.08747 0.929401i −0.0953789 0.0424654i 0.358493 0.933533i \(-0.383291\pi\)
−0.453872 + 0.891067i \(0.649957\pi\)
\(480\) 2.59683 + 2.87341i 0.118529 + 0.131153i
\(481\) 38.4663 17.1263i 1.75391 0.780892i
\(482\) 8.24394 + 4.75964i 0.375501 + 0.216796i
\(483\) 4.96196 0.350341i 0.225777 0.0159411i
\(484\) −10.5247 + 2.23710i −0.478396 + 0.101686i
\(485\) 32.8949 + 17.4413i 1.49368 + 0.791969i
\(486\) 14.4730 + 5.79071i 0.656509 + 0.262672i
\(487\) 37.0053 + 12.0238i 1.67687 + 0.544848i 0.984300 0.176501i \(-0.0564780\pi\)
0.692571 + 0.721350i \(0.256478\pi\)
\(488\) 0.0241677 + 0.113700i 0.00109402 + 0.00514695i
\(489\) 10.4209 16.7019i 0.471247 0.755288i
\(490\) −1.66799 6.65682i −0.0753519 0.300724i
\(491\) −11.1863 12.4237i −0.504833 0.560674i 0.435824 0.900032i \(-0.356457\pi\)
−0.940657 + 0.339358i \(0.889790\pi\)
\(492\) 9.59785 + 14.2087i 0.432704 + 0.640577i
\(493\) 4.55876 2.63200i 0.205316 0.118539i
\(494\) −19.0039 13.8072i −0.855027 0.621214i
\(495\) 0.914085 + 3.15777i 0.0410851 + 0.141931i
\(496\) −3.15401 + 2.29152i −0.141619 + 0.102892i
\(497\) −6.63744 + 14.9079i −0.297730 + 0.668712i
\(498\) 0.797375 0.424663i 0.0357312 0.0190296i
\(499\) 7.50440 12.9980i 0.335943 0.581870i −0.647723 0.761876i \(-0.724278\pi\)
0.983666 + 0.180006i \(0.0576117\pi\)
\(500\) −11.1231 1.12972i −0.497441 0.0505227i
\(501\) −18.7230 + 3.31440i −0.836480 + 0.148076i
\(502\) 21.6813 + 19.5220i 0.967686 + 0.871308i
\(503\) 20.5268 + 28.2527i 0.915246 + 1.25973i 0.965343 + 0.260983i \(0.0840468\pi\)
−0.0500975 + 0.998744i \(0.515953\pi\)
\(504\) 3.31941 4.93559i 0.147858 0.219849i
\(505\) 13.8754 6.78752i 0.617445 0.302041i
\(506\) 0.0742003 0.705969i 0.00329861 0.0313841i
\(507\) 1.51386 + 0.549843i 0.0672329 + 0.0244194i
\(508\) −3.13106 7.03247i −0.138918 0.312015i
\(509\) 4.17849 + 4.64068i 0.185208 + 0.205694i 0.828598 0.559844i \(-0.189139\pi\)
−0.643390 + 0.765539i \(0.722472\pi\)
\(510\) 4.11585 + 0.424928i 0.182253 + 0.0188161i
\(511\) 7.99540 8.87979i 0.353696 0.392819i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −31.9750 + 6.86422i −1.41173 + 0.303063i
\(514\) 6.38810 + 19.6606i 0.281767 + 0.867190i
\(515\) −0.864088 23.9430i −0.0380763 1.05505i
\(516\) 1.28673 0.520882i 0.0566450 0.0229306i
\(517\) 0.110365 + 0.247883i 0.00485383 + 0.0109019i
\(518\) −19.3712 11.1839i −0.851120 0.491394i
\(519\) 15.7051 10.6087i 0.689379 0.465670i
\(520\) 8.34020 0.300993i 0.365742 0.0131994i
\(521\) −26.9382 + 19.5718i −1.18019 + 0.857455i −0.992193 0.124715i \(-0.960198\pi\)
−0.187993 + 0.982170i \(0.560198\pi\)
\(522\) 1.01120 14.7470i 0.0442589 0.645457i
\(523\) −23.5869 + 7.66385i −1.03138 + 0.335117i −0.775337 0.631548i \(-0.782420\pi\)
−0.256046 + 0.966665i \(0.582420\pi\)
\(524\) −3.62238 6.27414i −0.158244 0.274087i
\(525\) 2.44081 + 16.9960i 0.106526 + 0.741766i
\(526\) −13.3507 + 23.1240i −0.582117 + 1.00826i
\(527\) −0.865966 + 4.07405i −0.0377221 + 0.177468i
\(528\) −0.610977 0.589217i −0.0265894 0.0256424i
\(529\) 19.0947 + 8.50153i 0.830206 + 0.369632i
\(530\) −6.24844 1.09425i −0.271415 0.0475312i
\(531\) −6.29474 25.1023i −0.273168 1.08935i
\(532\) 12.4784i 0.541009i
\(533\) 36.7456 + 3.86212i 1.59163 + 0.167287i
\(534\) −11.8541 9.24858i −0.512979 0.400225i
\(535\) −21.6954 1.49164i −0.937972 0.0644893i
\(536\) 11.5663 + 2.45850i 0.499590 + 0.106191i
\(537\) −10.4311 25.7679i −0.450137 1.11197i
\(538\) 0.366397 + 1.72376i 0.0157965 + 0.0743168i
\(539\) 0.464765 + 1.43040i 0.0200189 + 0.0616117i
\(540\) 7.44006 8.92443i 0.320169 0.384046i
\(541\) 0.107531 0.330946i 0.00462311 0.0142285i −0.948718 0.316123i \(-0.897619\pi\)
0.953341 + 0.301894i \(0.0976189\pi\)
\(542\) −31.2246 3.28184i −1.34121 0.140967i
\(543\) −32.5756 + 27.3717i −1.39795 + 1.17463i
\(544\) −0.975992 + 0.434540i −0.0418453 + 0.0186307i
\(545\) −35.7070 14.3781i −1.52952 0.615890i
\(546\) −3.54114 12.3180i −0.151547 0.527162i
\(547\) 8.21430 18.4496i 0.351218 0.788849i −0.648402 0.761298i \(-0.724562\pi\)
0.999620 0.0275510i \(-0.00877087\pi\)
\(548\) −0.209885 + 0.0681959i −0.00896586 + 0.00291319i
\(549\) 0.327528 0.119712i 0.0139786 0.00510917i
\(550\) 2.44899 + 0.0797971i 0.104425 + 0.00340256i
\(551\) 15.5053 + 26.8560i 0.660550 + 1.14411i
\(552\) −2.21444 + 1.17936i −0.0942528 + 0.0501967i
\(553\) −4.70164 + 0.494163i −0.199934 + 0.0210139i
\(554\) 2.06104 + 19.6095i 0.0875651 + 0.833126i
\(555\) −35.3965 25.6175i −1.50250 1.08740i
\(556\) 1.59203 15.1472i 0.0675171 0.642383i
\(557\) 34.9593i 1.48127i −0.671906 0.740636i \(-0.734524\pi\)
0.671906 0.740636i \(-0.265476\pi\)
\(558\) 8.13588 + 8.40221i 0.344419 + 0.355694i
\(559\) 0.924347 2.84485i 0.0390957 0.120324i
\(560\) −2.73353 3.49035i −0.115513 0.147494i
\(561\) −0.906295 0.0310358i −0.0382638 0.00131033i
\(562\) −2.37689 + 2.14016i −0.100263 + 0.0902772i
\(563\) −8.89879 + 8.01251i −0.375039 + 0.337687i −0.834998 0.550254i \(-0.814531\pi\)
0.459958 + 0.887941i \(0.347864\pi\)
\(564\) 0.507656 0.813642i 0.0213762 0.0342605i
\(565\) −16.8241 21.4822i −0.707796 0.903762i
\(566\) 5.48505 16.8812i 0.230554 0.709572i
\(567\) −16.0591 7.77893i −0.674419 0.326684i
\(568\) 8.23073i 0.345354i
\(569\) −4.09153 + 38.9283i −0.171526 + 1.63196i 0.482790 + 0.875736i \(0.339624\pi\)
−0.654315 + 0.756222i \(0.727043\pi\)
\(570\) −2.50329 + 24.2468i −0.104851 + 1.01559i
\(571\) −1.21875 11.5956i −0.0510031 0.485262i −0.989972 0.141261i \(-0.954884\pi\)
0.938969 0.344001i \(-0.111782\pi\)
\(572\) −1.81901 + 0.191186i −0.0760567 + 0.00799388i
\(573\) 1.00744 29.4189i 0.0420865 1.22899i
\(574\) −9.81377 16.9979i −0.409619 0.709480i
\(575\) 2.46122 6.81158i 0.102640 0.284062i
\(576\) −0.516954 + 2.95512i −0.0215398 + 0.123130i
\(577\) −18.3479 + 5.96161i −0.763835 + 0.248185i −0.664924 0.746911i \(-0.731536\pi\)
−0.0989111 + 0.995096i \(0.531536\pi\)
\(578\) 6.45028 14.4876i 0.268296 0.602603i
\(579\) 0.873432 0.905689i 0.0362986 0.0376391i
\(580\) −10.2201 4.11532i −0.424366 0.170879i
\(581\) −0.944718 + 0.420616i −0.0391935 + 0.0174501i
\(582\) 5.02724 + 28.3988i 0.208386 + 1.17717i
\(583\) 1.38264 + 0.145321i 0.0572629 + 0.00601858i
\(584\) −1.86236 + 5.73175i −0.0770649 + 0.237181i
\(585\) −4.40967 24.6455i −0.182317 1.01897i
\(586\) 9.08306 + 27.9548i 0.375218 + 1.15480i
\(587\) 6.60420 + 31.0703i 0.272584 + 1.28241i 0.874960 + 0.484196i \(0.160888\pi\)
−0.602375 + 0.798213i \(0.705779\pi\)
\(588\) 3.26988 4.19108i 0.134847 0.172837i
\(589\) −24.0006 5.10148i −0.988927 0.210203i
\(590\) −19.2441 1.32311i −0.792265 0.0544714i
\(591\) −11.2805 + 4.56647i −0.464017 + 0.187840i
\(592\) 11.2199 + 1.17926i 0.461137 + 0.0484674i
\(593\) 0.873866i 0.0358854i 0.999839 + 0.0179427i \(0.00571164\pi\)
−0.999839 + 0.0179427i \(0.994288\pi\)
\(594\) −1.49257 + 2.06312i −0.0612408 + 0.0846508i
\(595\) −4.66542 0.817025i −0.191263 0.0334948i
\(596\) 18.4411 + 8.21051i 0.755377 + 0.336316i
\(597\) 4.00496 16.1093i 0.163912 0.659311i
\(598\) −1.12403 + 5.28813i −0.0459649 + 0.216248i
\(599\) −1.70130 + 2.94673i −0.0695131 + 0.120400i −0.898687 0.438590i \(-0.855478\pi\)
0.829174 + 0.558991i \(0.188811\pi\)
\(600\) −4.61132 7.33047i −0.188256 0.299265i
\(601\) −12.3459 21.3837i −0.503600 0.872261i −0.999991 0.00416184i \(-0.998675\pi\)
0.496391 0.868099i \(-0.334658\pi\)
\(602\) −1.51124 + 0.491032i −0.0615936 + 0.0200130i
\(603\) 2.42677 35.3911i 0.0988255 1.44124i
\(604\) −18.5405 + 13.4705i −0.754403 + 0.548106i
\(605\) 24.0441 0.867738i 0.977531 0.0352786i
\(606\) 10.7575 + 5.23778i 0.436992 + 0.212770i
\(607\) 6.89636 + 3.98162i 0.279915 + 0.161609i 0.633385 0.773837i \(-0.281665\pi\)
−0.353470 + 0.935446i \(0.614998\pi\)
\(608\) −2.55991 5.74966i −0.103818 0.233179i
\(609\) −2.34354 + 16.7573i −0.0949651 + 0.679038i
\(610\) −0.00937429 0.259751i −0.000379554 0.0105170i
\(611\) −0.638595 1.96539i −0.0258348 0.0795113i
\(612\) 1.70210 + 2.71576i 0.0688032 + 0.109778i
\(613\) −4.73078 1.53712i −0.191074 0.0620838i 0.211917 0.977288i \(-0.432029\pi\)
−0.402991 + 0.915204i \(0.632029\pi\)
\(614\) −7.62976 + 8.47371i −0.307912 + 0.341971i
\(615\) −15.6592 34.9974i −0.631439 1.41123i
\(616\) 0.650140 + 0.722053i 0.0261949 + 0.0290924i
\(617\) 1.32872 + 2.98435i 0.0534921 + 0.120145i 0.938314 0.345784i \(-0.112387\pi\)
−0.884822 + 0.465929i \(0.845720\pi\)
\(618\) 14.2084 11.9386i 0.571544 0.480240i
\(619\) 3.49184 33.2226i 0.140349 1.33533i −0.666912 0.745136i \(-0.732384\pi\)
0.807261 0.590194i \(-0.200949\pi\)
\(620\) 7.83075 3.83063i 0.314490 0.153842i
\(621\) 4.43642 + 6.08027i 0.178028 + 0.243993i
\(622\) −0.519598 0.715166i −0.0208340 0.0286755i
\(623\) 12.7900 + 11.5162i 0.512420 + 0.461385i
\(624\) 4.15864 + 4.94928i 0.166479 + 0.198130i
\(625\) 24.0635 + 6.77866i 0.962538 + 0.271146i
\(626\) −7.40041 + 12.8179i −0.295780 + 0.512306i
\(627\) 0.182835 5.33906i 0.00730172 0.213222i
\(628\) −2.25759 + 5.07063i −0.0900877 + 0.202340i
\(629\) 9.75102 7.08453i 0.388799 0.282479i
\(630\) −9.21491 + 9.59052i −0.367131 + 0.382096i
\(631\) 16.6785 + 12.1176i 0.663960 + 0.482395i 0.867998 0.496568i \(-0.165407\pi\)
−0.204038 + 0.978963i \(0.565407\pi\)
\(632\) 2.06499 1.19222i 0.0821408 0.0474240i
\(633\) −5.96724 + 12.2557i −0.237177 + 0.487119i
\(634\) 4.16911 + 4.63027i 0.165577 + 0.183891i
\(635\) 4.18375 + 16.6971i 0.166027 + 0.662603i
\(636\) −2.30976 4.33696i −0.0915880 0.171972i
\(637\) −2.38154 11.2042i −0.0943599 0.443928i
\(638\) 2.29643 + 0.746155i 0.0909165 + 0.0295406i
\(639\) −24.4472 + 3.46951i −0.967118 + 0.137252i
\(640\) 1.97555 + 1.04747i 0.0780907 + 0.0414047i
\(641\) 19.2002 4.08113i 0.758363 0.161195i 0.187527 0.982259i \(-0.439953\pi\)
0.570836 + 0.821064i \(0.306619\pi\)
\(642\) −9.42893 13.9586i −0.372130 0.550903i
\(643\) 3.31406 + 1.91338i 0.130694 + 0.0754562i 0.563922 0.825828i \(-0.309292\pi\)
−0.433228 + 0.901285i \(0.642625\pi\)
\(644\) 2.62363 1.16812i 0.103386 0.0460302i
\(645\) −3.03499 + 0.650954i −0.119503 + 0.0256313i
\(646\) −6.14268 2.73490i −0.241681 0.107603i
\(647\) 19.1682 + 26.3828i 0.753581 + 1.03722i 0.997721 + 0.0674754i \(0.0214944\pi\)
−0.244140 + 0.969740i \(0.578506\pi\)
\(648\) 8.99533 + 0.289801i 0.353370 + 0.0113845i
\(649\) 4.22749 0.165944
\(650\) −18.4858 2.55402i −0.725072 0.100177i
\(651\) −8.61255 10.2500i −0.337552 0.401728i
\(652\) 2.36310 11.1175i 0.0925460 0.435395i
\(653\) 24.2999 2.55402i 0.950927 0.0999465i 0.383655 0.923477i \(-0.374665\pi\)
0.567273 + 0.823530i \(0.307999\pi\)
\(654\) −8.23792 28.6560i −0.322128 1.12054i
\(655\) 5.55841 + 15.2163i 0.217185 + 0.594551i
\(656\) 8.00893 + 5.81883i 0.312696 + 0.227187i
\(657\) 17.8097 + 3.11554i 0.694822 + 0.121549i
\(658\) −0.645262 + 0.888128i −0.0251549 + 0.0346228i
\(659\) −48.8683 + 10.3873i −1.90364 + 0.404631i −0.999733 0.0231048i \(-0.992645\pi\)
−0.903904 + 0.427735i \(0.859312\pi\)
\(660\) 1.11843 + 1.53344i 0.0435350 + 0.0596892i
\(661\) −13.0063 2.76458i −0.505888 0.107530i −0.0521044 0.998642i \(-0.516593\pi\)
−0.453784 + 0.891112i \(0.649926\pi\)
\(662\) 6.02791 5.42756i 0.234281 0.210948i
\(663\) 6.83982 + 0.956565i 0.265637 + 0.0371499i
\(664\) 0.349007 0.387612i 0.0135441 0.0150422i
\(665\) 4.81317 27.4844i 0.186647 1.06580i
\(666\) −1.22686 33.8230i −0.0475398 1.31061i
\(667\) 4.19510 5.77406i 0.162435 0.223573i
\(668\) −9.50703 + 5.48889i −0.367838 + 0.212371i
\(669\) 14.8604 10.0381i 0.574537 0.388094i
\(670\) −24.5271 9.87632i −0.947566 0.381556i
\(671\) 0.00595439 + 0.0566522i 0.000229867 + 0.00218704i
\(672\) 0.828527 3.33262i 0.0319611 0.128559i
\(673\) −27.2982 24.5794i −1.05227 0.947467i −0.0535746 0.998564i \(-0.517061\pi\)
−0.998694 + 0.0510973i \(0.983728\pi\)
\(674\) 30.1274 1.16047
\(675\) −19.8294 + 16.7867i −0.763235 + 0.646121i
\(676\) 0.929893 0.0357651
\(677\) 4.26763 + 3.84259i 0.164018 + 0.147683i 0.747053 0.664765i \(-0.231468\pi\)
−0.583035 + 0.812447i \(0.698135\pi\)
\(678\) 5.09936 20.5114i 0.195840 0.787736i
\(679\) −3.45082 32.8324i −0.132430 1.25999i
\(680\) 2.31728 0.580637i 0.0888637 0.0222664i
\(681\) 24.7532 16.7206i 0.948544 0.640733i
\(682\) −1.65456 + 0.955262i −0.0633565 + 0.0365789i
\(683\) −11.7745 + 16.2062i −0.450538 + 0.620112i −0.972513 0.232849i \(-0.925195\pi\)
0.521975 + 0.852961i \(0.325195\pi\)
\(684\) −15.9988 + 10.0272i −0.611728 + 0.383400i
\(685\) 0.488587 0.0692481i 0.0186680 0.00264583i
\(686\) −13.3582 + 14.8358i −0.510019 + 0.566433i
\(687\) 51.3809 + 7.18573i 1.96030 + 0.274153i
\(688\) 0.595596 0.536277i 0.0227069 0.0204454i
\(689\) −10.3568 2.20140i −0.394562 0.0838667i
\(690\) 5.33231 1.74344i 0.202998 0.0663716i
\(691\) −21.0350 + 4.47112i −0.800208 + 0.170089i −0.589827 0.807530i \(-0.700804\pi\)
−0.210381 + 0.977619i \(0.567471\pi\)
\(692\) 6.43167 8.85244i 0.244495 0.336519i
\(693\) 1.87062 2.23544i 0.0710588 0.0849172i
\(694\) 9.01693 + 6.55118i 0.342278 + 0.248680i
\(695\) −9.34906 + 32.7483i −0.354630 + 1.24221i
\(696\) −2.35787 8.20196i −0.0893748 0.310895i
\(697\) 10.5184 1.10552i 0.398411 0.0418747i
\(698\) 0.724034 3.40631i 0.0274051 0.128931i
\(699\) 10.1500 + 12.0797i 0.383908 + 0.456896i
\(700\) 4.67444 + 8.74204i 0.176677 + 0.330418i
\(701\) −31.2405 −1.17994 −0.589968 0.807427i \(-0.700860\pi\)
−0.589968 + 0.807427i \(0.700860\pi\)
\(702\) 12.9476 14.4384i 0.488674 0.544943i
\(703\) 41.7356 + 57.4442i 1.57409 + 2.16655i
\(704\) −0.447690 0.199324i −0.0168729 0.00751232i
\(705\) −1.43197 + 1.59627i −0.0539313 + 0.0601191i
\(706\) −32.2995 + 14.3807i −1.21561 + 0.541224i
\(707\) −11.8611 6.84802i −0.446083 0.257546i
\(708\) −8.36358 12.3815i −0.314323 0.465324i
\(709\) 39.5810 8.41319i 1.48649 0.315964i 0.608085 0.793872i \(-0.291938\pi\)
0.878410 + 0.477908i \(0.158605\pi\)
\(710\) −3.17475 + 18.1286i −0.119146 + 0.680354i
\(711\) −4.41163 5.63094i −0.165449 0.211177i
\(712\) −8.25571 2.68244i −0.309396 0.100529i
\(713\) 1.17411 + 5.52375i 0.0439707 + 0.206866i
\(714\) −1.72459 3.23821i −0.0645412 0.121187i
\(715\) 4.08020 + 0.280530i 0.152591 + 0.0104912i
\(716\) −10.7394 11.9274i −0.401352 0.445746i
\(717\) −18.1496 + 37.2760i −0.677809 + 1.39210i
\(718\) 23.2658 13.4325i 0.868270 0.501296i
\(719\) −16.0141 11.6349i −0.597225 0.433910i 0.247668 0.968845i \(-0.420336\pi\)
−0.844893 + 0.534936i \(0.820336\pi\)
\(720\) 2.27846 6.30941i 0.0849133 0.235138i
\(721\) −17.1863 + 12.4866i −0.640050 + 0.465024i
\(722\) 8.38354 18.8297i 0.312003 0.700770i
\(723\) 0.564292 16.4782i 0.0209863 0.612832i
\(724\) −12.2827 + 21.2743i −0.456483 + 0.790653i
\(725\) 20.9229 + 13.0063i 0.777057 + 0.483041i
\(726\) 11.9890 + 14.2684i 0.444954 + 0.529549i
\(727\) −12.2636 11.0422i −0.454832 0.409533i 0.409613 0.912259i \(-0.365664\pi\)
−0.864446 + 0.502726i \(0.832330\pi\)
\(728\) −4.34952 5.98660i −0.161204 0.221878i
\(729\) −2.93103 26.8404i −0.108557 0.994090i
\(730\) 6.31278 11.9061i 0.233646 0.440665i
\(731\) 0.0895013 0.851548i 0.00331033 0.0314956i
\(732\) 0.154143 0.129519i 0.00569729 0.00478715i
\(733\) −8.75168 19.6566i −0.323251 0.726033i 0.676697 0.736262i \(-0.263411\pi\)
−0.999948 + 0.0102288i \(0.996744\pi\)
\(734\) −2.86927 3.18665i −0.105907 0.117621i
\(735\) −8.81864 + 7.96981i −0.325280 + 0.293971i
\(736\) −0.969248 + 1.07646i −0.0357270 + 0.0396788i
\(737\) 5.51119 + 1.79069i 0.203007 + 0.0659610i
\(738\) 13.9073 26.2413i 0.511935 0.965954i
\(739\) −4.28532 13.1889i −0.157638 0.485160i 0.840781 0.541376i \(-0.182096\pi\)
−0.998419 + 0.0562160i \(0.982096\pi\)
\(740\) −24.2576 6.92513i −0.891727 0.254573i
\(741\) −5.63521 + 40.2940i −0.207015 + 1.48024i
\(742\) 2.28775 + 5.13837i 0.0839859 + 0.188635i
\(743\) −18.9368 10.9332i −0.694724 0.401099i 0.110656 0.993859i \(-0.464705\pi\)
−0.805379 + 0.592760i \(0.798038\pi\)
\(744\) 6.07113 + 2.95601i 0.222578 + 0.108373i
\(745\) −37.4505 25.1971i −1.37208 0.923152i
\(746\) −16.4666 + 11.9637i −0.602887 + 0.438023i
\(747\) −1.29842 0.873244i −0.0475066 0.0319503i
\(748\) −0.497932 + 0.161788i −0.0182062 + 0.00591555i
\(749\) 9.64105 + 16.6988i 0.352276 + 0.610161i
\(750\) 7.32916 + 17.9244i 0.267623 + 0.654506i
\(751\) −19.8460 + 34.3742i −0.724190 + 1.25433i 0.235116 + 0.971967i \(0.424453\pi\)
−0.959306 + 0.282367i \(0.908880\pi\)
\(752\) 0.115119 0.541594i 0.00419797 0.0197499i
\(753\) 12.1919 49.0400i 0.444297 1.78712i
\(754\) −16.7998 7.47974i −0.611812 0.272396i
\(755\) 46.0322 22.5179i 1.67528 0.819512i
\(756\) −10.2479 1.05612i −0.372714 0.0384106i
\(757\) 9.09533i 0.330575i −0.986245 0.165288i \(-0.947145\pi\)
0.986245 0.165288i \(-0.0528552\pi\)
\(758\) −2.43769 0.256212i −0.0885410 0.00930604i
\(759\) −1.13967 + 0.461352i −0.0413674 + 0.0167460i
\(760\) 3.42058 + 13.6513i 0.124078 + 0.495185i
\(761\) 28.8761 + 6.13780i 1.04676 + 0.222495i 0.699024 0.715098i \(-0.253618\pi\)
0.347733 + 0.937594i \(0.386952\pi\)
\(762\) −8.20172 + 10.5123i −0.297117 + 0.380822i
\(763\) 7.09619 + 33.3850i 0.256899 + 1.20862i
\(764\) −5.25173 16.1632i −0.190001 0.584762i
\(765\) −2.70143 6.63812i −0.0976706 0.240002i
\(766\) −3.65730 + 11.2560i −0.132144 + 0.406697i
\(767\) −32.0202 3.36546i −1.15618 0.121520i
\(768\) 0.301919 + 1.70553i 0.0108946 + 0.0615431i
\(769\) −20.8515 + 9.28366i −0.751923 + 0.334778i −0.746658 0.665209i \(-0.768343\pi\)
−0.00526505 + 0.999986i \(0.501676\pi\)
\(770\) −1.15345 1.84113i −0.0415676 0.0663497i
\(771\) 24.8552 25.7731i 0.895139 0.928197i
\(772\) 0.295471 0.663638i 0.0106342 0.0238849i
\(773\) −30.3139 + 9.84959i −1.09032 + 0.354265i −0.798368 0.602169i \(-0.794303\pi\)
−0.291948 + 0.956434i \(0.594303\pi\)
\(774\) −1.84393 1.54301i −0.0662788 0.0554622i
\(775\) −18.7251 + 5.41669i −0.672627 + 0.194573i
\(776\) 8.32548 + 14.4202i 0.298867 + 0.517654i
\(777\) −1.32594 + 38.7196i −0.0475680 + 1.38906i
\(778\) −8.54047 + 0.897640i −0.306191 + 0.0321819i
\(779\) 6.51274 + 61.9645i 0.233343 + 2.22011i
\(780\) −7.25058 12.5051i −0.259612 0.447754i
\(781\) 0.421619 4.01144i 0.0150867 0.143540i
\(782\) 1.54753i 0.0553397i
\(783\) −23.3679 + 10.4608i −0.835099 + 0.373839i
\(784\) 0.948389 2.91884i 0.0338710 0.104244i
\(785\) 6.92829 10.2975i 0.247281 0.367534i
\(786\) −6.64239 + 10.6460i −0.236926 + 0.379731i
\(787\) −9.40265 + 8.46619i −0.335168 + 0.301787i −0.819479 0.573109i \(-0.805737\pi\)
0.484311 + 0.874896i \(0.339070\pi\)
\(788\) −5.22147 + 4.70144i −0.186007 + 0.167482i
\(789\) 46.2210 + 1.58283i 1.64551 + 0.0563501i
\(790\) −5.00810 + 1.82942i −0.178180 + 0.0650879i
\(791\) −7.47633 + 23.0098i −0.265828 + 0.818134i
\(792\) −0.403326 + 1.41377i −0.0143316 + 0.0502360i
\(793\) 0.433840i 0.0154061i
\(794\) −1.76964 + 16.8370i −0.0628020 + 0.597521i
\(795\) 3.41452 + 10.4433i 0.121100 + 0.370385i
\(796\) −1.00179 9.53135i −0.0355073 0.337830i
\(797\) 15.0601 1.58288i 0.533458 0.0560687i 0.166030 0.986121i \(-0.446905\pi\)
0.367428 + 0.930052i \(0.380239\pi\)
\(798\) 19.0766 10.1597i 0.675303 0.359650i
\(799\) −0.295771 0.512290i −0.0104636 0.0181235i
\(800\) −3.94723 3.06910i −0.139556 0.108509i
\(801\) −4.48746 + 25.6522i −0.158557 + 0.906375i
\(802\) 9.17875 2.98236i 0.324113 0.105311i
\(803\) −1.20127 + 2.69810i −0.0423919 + 0.0952139i
\(804\) −5.65864 19.6838i −0.199565 0.694195i
\(805\) −6.22924 + 1.56085i −0.219552 + 0.0550127i
\(806\) 13.2926 5.91824i 0.468211 0.208461i
\(807\) 2.33691 1.96359i 0.0822631 0.0691216i
\(808\) 6.87007 + 0.722073i 0.241688 + 0.0254024i
\(809\) 12.3314 37.9522i 0.433549 1.33433i −0.461016 0.887392i \(-0.652515\pi\)
0.894566 0.446936i \(-0.147485\pi\)
\(810\) −19.7009 4.10797i −0.692218 0.144339i
\(811\) −11.8318 36.4146i −0.415472 1.27869i −0.911828 0.410572i \(-0.865329\pi\)
0.496357 0.868119i \(-0.334671\pi\)
\(812\) 2.03108 + 9.55548i 0.0712770 + 0.335332i
\(813\) 20.4053 + 50.4070i 0.715647 + 1.76785i
\(814\) 5.40789 + 1.14948i 0.189546 + 0.0402893i
\(815\) −9.49306 + 23.5753i −0.332527 + 0.825808i
\(816\) 1.45894 + 1.13826i 0.0510732 + 0.0398472i
\(817\) 5.01655 + 0.527260i 0.175507 + 0.0184465i
\(818\) 1.30919i 0.0457748i
\(819\) −15.9482 + 15.4426i −0.557274 + 0.539610i
\(820\) −15.3956 15.9055i −0.537639 0.555443i
\(821\) −4.38929 1.95424i −0.153187 0.0682033i 0.328711 0.944431i \(-0.393386\pi\)
−0.481898 + 0.876227i \(0.660052\pi\)
\(822\) 0.275140 + 0.265341i 0.00959661 + 0.00925482i
\(823\) −3.49744 + 16.4541i −0.121913 + 0.573556i 0.874207 + 0.485553i \(0.161382\pi\)
−0.996120 + 0.0880026i \(0.971952\pi\)
\(824\) 5.35729 9.27910i 0.186630 0.323253i
\(825\) −1.87193 3.80889i −0.0651722 0.132608i
\(826\) 8.55173 + 14.8120i 0.297553 + 0.515377i
\(827\) 20.9519 6.80769i 0.728569 0.236727i 0.0788347 0.996888i \(-0.474880\pi\)
0.649735 + 0.760161i \(0.274880\pi\)
\(828\) 3.60591 + 2.42514i 0.125314 + 0.0842793i
\(829\) −26.8961 + 19.5411i −0.934139 + 0.678692i −0.947003 0.321226i \(-0.895905\pi\)
0.0128638 + 0.999917i \(0.495905\pi\)
\(830\) −0.918214 + 0.719115i −0.0318717 + 0.0249608i
\(831\) 28.3001 19.1165i 0.981720 0.663144i
\(832\) 3.23225 + 1.86614i 0.112058 + 0.0646967i
\(833\) −1.33363 2.99537i −0.0462074 0.103783i
\(834\) −24.4526 + 9.89869i −0.846724 + 0.342764i
\(835\) 23.0569 8.42250i 0.797916 0.291473i
\(836\) −0.953106 2.93336i −0.0329639 0.101452i
\(837\) 6.22089 19.2787i 0.215026 0.666371i
\(838\) 7.73983 + 2.51482i 0.267368 + 0.0868731i
\(839\) −8.98948 + 9.98383i −0.310351 + 0.344680i −0.878061 0.478549i \(-0.841163\pi\)
0.567710 + 0.823229i \(0.307830\pi\)
\(840\) −3.11033 + 7.02069i −0.107316 + 0.242237i
\(841\) −3.16015 3.50970i −0.108971 0.121024i
\(842\) 7.11606 + 15.9829i 0.245235 + 0.550808i
\(843\) 5.20701 + 1.89122i 0.179339 + 0.0651370i
\(844\) −0.822636 + 7.82686i −0.0283163 + 0.269411i
\(845\) −2.04813 0.358677i −0.0704579 0.0123389i
\(846\) −1.65719 0.113633i −0.0569753 0.00390679i
\(847\) −12.5393 17.2589i −0.430855 0.593022i
\(848\) −2.10824 1.89827i −0.0723972 0.0651867i
\(849\) −30.2732 + 5.35906i −1.03897 + 0.183923i
\(850\) −5.32789 + 0.385062i −0.182745 + 0.0132075i
\(851\) 8.17091 14.1524i 0.280095 0.485139i
\(852\) −12.5828 + 6.70131i −0.431080 + 0.229583i
\(853\) −10.7661 + 24.1811i −0.368625 + 0.827945i 0.630053 + 0.776552i \(0.283033\pi\)
−0.998678 + 0.0513936i \(0.983634\pi\)
\(854\) −0.186450 + 0.135464i −0.00638018 + 0.00463547i
\(855\) 39.1057 15.9144i 1.33739 0.544261i
\(856\) −7.86799 5.71643i −0.268922 0.195383i
\(857\) 0.480662 0.277510i 0.0164191 0.00947958i −0.491768 0.870726i \(-0.663649\pi\)
0.508187 + 0.861247i \(0.330316\pi\)
\(858\) 1.77328 + 2.62517i 0.0605388 + 0.0896219i
\(859\) 6.50553 + 7.22512i 0.221966 + 0.246518i 0.843834 0.536604i \(-0.180293\pi\)
−0.621869 + 0.783121i \(0.713626\pi\)
\(860\) −1.51868 + 0.951445i −0.0517866 + 0.0324440i
\(861\) −17.9956 + 28.8423i −0.613289 + 0.982943i
\(862\) −2.66777 12.5509i −0.0908646 0.427484i
\(863\) 27.4917 + 8.93259i 0.935828 + 0.304069i 0.736944 0.675954i \(-0.236268\pi\)
0.198884 + 0.980023i \(0.436268\pi\)
\(864\) 4.93857 1.61571i 0.168014 0.0549675i
\(865\) −17.5806 + 17.0171i −0.597759 + 0.578599i
\(866\) 20.5819 4.37483i 0.699403 0.148663i
\(867\) −27.3997 + 1.93457i −0.930543 + 0.0657013i
\(868\) −6.69399 3.86477i −0.227209 0.131179i
\(869\) 1.06749 0.475277i 0.0362121 0.0161227i
\(870\) 2.02967 + 18.9747i 0.0688124 + 0.643302i
\(871\) −40.3177 17.9506i −1.36611 0.608233i
\(872\) −10.1185 13.9269i −0.342656 0.471625i
\(873\) 39.3218 30.8072i 1.33084 1.04267i
\(874\) −9.11666 −0.308376
\(875\) −6.92371 21.0578i −0.234064 0.711883i
\(876\) 10.2788 1.81958i 0.347287 0.0614779i
\(877\) −9.12577 + 42.9334i −0.308155 + 1.44976i 0.502675 + 0.864475i \(0.332349\pi\)
−0.810830 + 0.585281i \(0.800984\pi\)
\(878\) 24.8468 2.61150i 0.838539 0.0881340i
\(879\) 35.3409 36.6461i 1.19202 1.23604i
\(880\) 0.909176 + 0.611704i 0.0306483 + 0.0206205i
\(881\) −20.4512 14.8586i −0.689017 0.500600i 0.187320 0.982299i \(-0.440020\pi\)
−0.876337 + 0.481699i \(0.840020\pi\)
\(882\) −9.06943 1.58656i −0.305384 0.0534222i
\(883\) −4.10731 + 5.65323i −0.138222 + 0.190246i −0.872516 0.488585i \(-0.837513\pi\)
0.734294 + 0.678831i \(0.237513\pi\)
\(884\) 3.90027 0.829028i 0.131180 0.0278832i
\(885\) 13.6454 + 30.4968i 0.458686 + 1.02514i
\(886\) −29.5207 6.27482i −0.991768 0.210807i
\(887\) −33.3123 + 29.9945i −1.11852 + 1.00712i −0.118619 + 0.992940i \(0.537847\pi\)
−0.999899 + 0.0141784i \(0.995487\pi\)
\(888\) −7.33225 18.1127i −0.246054 0.607824i
\(889\) 10.2126 11.3423i 0.342520 0.380408i
\(890\) 17.1489 + 9.09260i 0.574834 + 0.304784i
\(891\) 4.36924 + 0.602027i 0.146375 + 0.0201687i
\(892\) 6.08573 8.37628i 0.203765 0.280459i
\(893\) 3.01795 1.74241i 0.100992 0.0583076i
\(894\) −2.46250 34.8769i −0.0823582 1.16646i
\(895\) 19.0535 + 30.4130i 0.636890 + 1.01659i
\(896\) −0.207245 1.97180i −0.00692356 0.0658732i
\(897\) 8.99945 2.58713i 0.300483 0.0863817i
\(898\) −24.1682 21.7611i −0.806503 0.726179i
\(899\) −19.2090 −0.640657
\(900\) −7.45208 + 13.0179i −0.248403 + 0.433931i
\(901\) −3.03084 −0.100972
\(902\) 3.60527 + 3.24620i 0.120042 + 0.108087i
\(903\) 1.98109 + 1.91054i 0.0659267 + 0.0635787i
\(904\) −1.27553 12.1359i −0.0424236 0.403634i
\(905\) 35.2592 42.1200i 1.17205 1.40012i
\(906\) 35.6885 + 17.3766i 1.18567 + 0.577299i
\(907\) 17.3541 10.0194i 0.576232 0.332688i −0.183402 0.983038i \(-0.558711\pi\)
0.759635 + 0.650350i \(0.225378\pi\)
\(908\) 10.1371 13.9525i 0.336411 0.463030i
\(909\) −0.751216 20.7101i −0.0249163 0.686911i
\(910\) 7.27089 + 14.8635i 0.241027 + 0.492719i
\(911\) 22.4179 24.8976i 0.742738 0.824895i −0.246815 0.969063i \(-0.579384\pi\)
0.989553 + 0.144168i \(0.0460506\pi\)
\(912\) −6.70562 + 8.59476i −0.222045 + 0.284601i
\(913\) 0.189952 0.171034i 0.00628649 0.00566038i
\(914\) 13.7679 + 2.92647i 0.455403 + 0.0967989i
\(915\) −0.389465 + 0.225816i −0.0128753 + 0.00746524i
\(916\) 29.2989 6.22767i 0.968063 0.205768i
\(917\) 8.44289 11.6206i 0.278809 0.383747i
\(918\) 2.76593 4.81322i 0.0912892 0.158860i
\(919\) 18.1645 + 13.1973i 0.599190 + 0.435337i 0.845591 0.533831i \(-0.179248\pi\)
−0.246401 + 0.969168i \(0.579248\pi\)
\(920\) 2.55003 1.99710i 0.0840719 0.0658423i
\(921\) 19.1663 + 4.76494i 0.631550 + 0.157010i
\(922\) 9.26455 0.973743i 0.305112 0.0320685i
\(923\) −6.38692 + 30.0481i −0.210228 + 0.989045i
\(924\) 0.574515 1.58179i 0.0189002 0.0520371i
\(925\) 50.7574 + 24.6095i 1.66889 + 0.809157i
\(926\) 21.3546 0.701755
\(927\) −29.8194 12.0010i −0.979398 0.394165i
\(928\) −2.89613 3.98618i −0.0950702 0.130853i
\(929\) 19.2183 + 8.55654i 0.630532 + 0.280731i 0.697015 0.717057i \(-0.254511\pi\)
−0.0664830 + 0.997788i \(0.521178\pi\)
\(930\) −12.2318 8.85251i −0.401095 0.290285i
\(931\) 17.6460 7.85650i 0.578324 0.257487i
\(932\) 7.88894 + 4.55468i 0.258411 + 0.149194i
\(933\) −0.670270 + 1.37662i −0.0219437 + 0.0450684i
\(934\) 2.63719 0.560552i 0.0862915 0.0183418i
\(935\) 1.15912 0.164284i 0.0379074 0.00537266i
\(936\) 4.18038 10.3872i 0.136640 0.339515i
\(937\) 12.8409 + 4.17225i 0.419493 + 0.136302i 0.511155 0.859489i \(-0.329218\pi\)
−0.0916618 + 0.995790i \(0.529218\pi\)
\(938\) 4.87438 + 22.9321i 0.159154 + 0.748761i
\(939\) 25.6207 + 0.877376i 0.836101 + 0.0286321i
\(940\) −0.462458 + 1.14848i −0.0150837 + 0.0374594i
\(941\) −7.70431 8.55650i −0.251153 0.278934i 0.604364 0.796708i \(-0.293427\pi\)
−0.855517 + 0.517774i \(0.826761\pi\)
\(942\) 9.58988 0.677097i 0.312455 0.0220610i
\(943\) 12.4186 7.16987i 0.404404 0.233483i
\(944\) −6.97900 5.07054i −0.227147 0.165032i
\(945\) 22.1642 + 6.27897i 0.721002 + 0.204255i
\(946\) 0.317748 0.230858i 0.0103309 0.00750583i
\(947\) 7.38119 16.5784i 0.239856 0.538727i −0.753003 0.658017i \(-0.771395\pi\)
0.992859 + 0.119291i \(0.0380621\pi\)
\(948\) −3.50389 2.18619i −0.113801 0.0710041i
\(949\) 11.2467 19.4798i 0.365083 0.632342i
\(950\) −2.26844 31.3871i −0.0735978 1.01833i
\(951\) 3.68416 10.1434i 0.119467 0.328924i
\(952\) −1.57412 1.41735i −0.0510176 0.0459364i
\(953\) −16.9718 23.3597i −0.549772 0.756696i 0.440210 0.897895i \(-0.354904\pi\)
−0.989981 + 0.141199i \(0.954904\pi\)
\(954\) −4.74962 + 7.06215i −0.153774 + 0.228645i
\(955\) 5.33276 + 37.6258i 0.172564 + 1.21754i
\(956\) −2.50208 + 23.8057i −0.0809230 + 0.769931i
\(957\) −0.729016 4.11820i −0.0235658 0.133122i
\(958\) 0.929401 + 2.08747i 0.0300276 + 0.0674431i
\(959\) −0.292776 0.325161i −0.00945423 0.0105000i
\(960\) −0.00713566 3.87298i −0.000230302 0.125000i
\(961\) −10.5730 + 11.7425i −0.341065 + 0.378791i
\(962\) −40.0458 13.0117i −1.29113 0.419513i
\(963\) −13.6625 + 25.7794i −0.440269 + 0.830731i
\(964\) −2.94162 9.05338i −0.0947432 0.291590i
\(965\) −0.906766 + 1.34773i −0.0291898 + 0.0433849i
\(966\) −3.92188 3.05985i −0.126184 0.0984490i
\(967\) −13.9267 31.2799i −0.447853 1.00589i −0.986560 0.163401i \(-0.947754\pi\)
0.538707 0.842493i \(-0.318913\pi\)
\(968\) 9.31830 + 5.37992i 0.299501 + 0.172917i
\(969\) 0.820251 + 11.6174i 0.0263502 + 0.373205i
\(970\) −12.7752 34.9724i −0.410186 1.12290i
\(971\) 21.1343 15.3550i 0.678232 0.492764i −0.194539 0.980895i \(-0.562321\pi\)
0.872771 + 0.488131i \(0.162321\pi\)
\(972\) −6.88079 13.9877i −0.220702 0.448654i
\(973\) 28.7192 9.33142i 0.920694 0.299152i
\(974\) −19.4548 33.6968i −0.623374 1.07971i
\(975\) 11.1463 + 30.3398i 0.356967 + 0.971650i
\(976\) 0.0581200 0.100667i 0.00186038 0.00322227i
\(977\) −4.44586 + 20.9161i −0.142236 + 0.669166i 0.848027 + 0.529953i \(0.177790\pi\)
−0.990263 + 0.139213i \(0.955543\pi\)
\(978\) −18.9200 + 5.43904i −0.604994 + 0.173921i
\(979\) −3.88620 1.73025i −0.124204 0.0552990i
\(980\) −3.21472 + 6.06308i −0.102691 + 0.193678i
\(981\) −37.1010 + 35.9250i −1.18454 + 1.14700i
\(982\) 16.7177i 0.533484i
\(983\) −43.5515 4.57744i −1.38908 0.145998i −0.619723 0.784821i \(-0.712755\pi\)
−0.769354 + 0.638823i \(0.779422\pi\)
\(984\) 2.37488 16.9813i 0.0757083 0.541345i
\(985\) 13.3140 8.34112i 0.424219 0.265770i
\(986\) −5.14897 1.09445i −0.163977 0.0348543i
\(987\) 1.88309 + 0.263355i 0.0599396 + 0.00838269i
\(988\) 4.88388 + 22.9768i 0.155377 + 0.730990i
\(989\) −0.358744 1.10410i −0.0114074 0.0351084i
\(990\) 1.43366 2.95832i 0.0455647 0.0940216i
\(991\) 8.60723 26.4903i 0.273418 0.841493i −0.716216 0.697879i \(-0.754127\pi\)
0.989634 0.143614i \(-0.0458725\pi\)
\(992\) 3.87721 + 0.407512i 0.123102 + 0.0129385i
\(993\) −13.2052 4.79622i −0.419056 0.152204i
\(994\) 14.9079 6.63744i 0.472851 0.210527i
\(995\) −1.46994 + 21.3797i −0.0466002 + 0.677781i
\(996\) −0.876720 0.217962i −0.0277799 0.00690640i
\(997\) 1.39013 3.12228i 0.0440259 0.0988837i −0.890194 0.455582i \(-0.849431\pi\)
0.934219 + 0.356699i \(0.116098\pi\)
\(998\) −14.2742 + 4.63797i −0.451842 + 0.146812i
\(999\) −50.7084 + 29.4136i −1.60434 + 0.930606i
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 450.2.v.a.319.7 yes 240
9.7 even 3 inner 450.2.v.a.169.15 yes 240
25.4 even 10 inner 450.2.v.a.229.15 yes 240
225.79 even 30 inner 450.2.v.a.79.7 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
450.2.v.a.79.7 240 225.79 even 30 inner
450.2.v.a.169.15 yes 240 9.7 even 3 inner
450.2.v.a.229.15 yes 240 25.4 even 10 inner
450.2.v.a.319.7 yes 240 1.1 even 1 trivial