Properties

Label 189.2.ba.a.38.10
Level $189$
Weight $2$
Character 189.38
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(5,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.ba (of order \(18\), degree \(6\), 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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 38.10
Character \(\chi\) \(=\) 189.38
Dual form 189.2.ba.a.5.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.408566 - 0.0720413i) q^{2} +(1.12900 + 1.31353i) q^{3} +(-1.71765 - 0.625173i) q^{4} +(0.0312679 + 0.177329i) q^{5} +(-0.366645 - 0.617997i) q^{6} +(1.82229 + 1.91814i) q^{7} +(1.37531 + 0.794036i) q^{8} +(-0.450699 + 2.96595i) q^{9} -0.0747032i q^{10} +(1.56303 + 0.275605i) q^{11} +(-1.11805 - 2.96200i) q^{12} +(3.21910 + 3.83638i) q^{13} +(-0.606342 - 0.914967i) q^{14} +(-0.197625 + 0.241276i) q^{15} +(2.29578 + 1.92639i) q^{16} -7.76129 q^{17} +(0.397812 - 1.17932i) q^{18} -4.34679i q^{19} +(0.0571540 - 0.324137i) q^{20} +(-0.462149 + 4.55921i) q^{21} +(-0.618747 - 0.225206i) q^{22} +(-1.56305 - 1.86277i) q^{23} +(0.509745 + 2.70297i) q^{24} +(4.66800 - 1.69901i) q^{25} +(-1.03884 - 1.79932i) q^{26} +(-4.40469 + 2.75657i) q^{27} +(-1.93089 - 4.43393i) q^{28} +(2.81590 - 3.35586i) q^{29} +(0.0981246 - 0.0843403i) q^{30} +(0.459948 - 1.26370i) q^{31} +(-2.84078 - 3.38551i) q^{32} +(1.40266 + 2.36424i) q^{33} +(3.17100 + 0.559134i) q^{34} +(-0.283162 + 0.383121i) q^{35} +(2.62838 - 4.81270i) q^{36} +(2.09041 - 3.62070i) q^{37} +(-0.313148 + 1.77595i) q^{38} +(-1.40480 + 8.55966i) q^{39} +(-0.0978025 + 0.268710i) q^{40} +(8.48927 - 7.12335i) q^{41} +(0.517270 - 1.82945i) q^{42} +(-0.714703 + 0.260131i) q^{43} +(-2.51244 - 1.45056i) q^{44} +(-0.540041 + 0.0128170i) q^{45} +(0.504413 + 0.873669i) q^{46} +(-8.67893 + 3.15887i) q^{47} +(0.0615850 + 5.19046i) q^{48} +(-0.358507 + 6.99081i) q^{49} +(-2.02959 + 0.357871i) q^{50} +(-8.76253 - 10.1947i) q^{51} +(-3.13089 - 8.60205i) q^{52} +(-8.42703 - 4.86535i) q^{53} +(1.99820 - 0.808921i) q^{54} +0.285788i q^{55} +(0.983146 + 4.08500i) q^{56} +(5.70962 - 4.90754i) q^{57} +(-1.39224 + 1.16823i) q^{58} +(1.51017 - 1.26718i) q^{59} +(0.490289 - 0.290878i) q^{60} +(-0.916897 - 2.51916i) q^{61} +(-0.278957 + 0.483169i) q^{62} +(-6.51041 + 4.54033i) q^{63} +(-2.08017 - 3.60297i) q^{64} +(-0.579646 + 0.690796i) q^{65} +(-0.402755 - 1.06700i) q^{66} +(-0.722307 - 4.09641i) q^{67} +(13.3312 + 4.85215i) q^{68} +(0.682106 - 4.15618i) q^{69} +(0.143291 - 0.136131i) q^{70} +(5.04844 - 2.91472i) q^{71} +(-2.97492 + 3.72123i) q^{72} +(-7.42228 + 4.28526i) q^{73} +(-1.11491 + 1.32870i) q^{74} +(7.50188 + 4.21334i) q^{75} +(-2.71749 + 7.46625i) q^{76} +(2.31965 + 3.50034i) q^{77} +(1.19060 - 3.39599i) q^{78} +(-0.884454 + 5.01599i) q^{79} +(-0.269820 + 0.467342i) q^{80} +(-8.59374 - 2.67350i) q^{81} +(-3.98161 + 2.29878i) q^{82} +(10.1615 + 8.52653i) q^{83} +(3.64411 - 7.54220i) q^{84} +(-0.242679 - 1.37630i) q^{85} +(0.310744 - 0.0547926i) q^{86} +(7.58716 - 0.0900220i) q^{87} +(1.93081 + 1.62014i) q^{88} +8.19131 q^{89} +(0.221566 + 0.0336687i) q^{90} +(-1.49256 + 13.1657i) q^{91} +(1.52022 + 4.17676i) q^{92} +(2.17918 - 0.822565i) q^{93} +(3.77349 - 0.665368i) q^{94} +(0.770811 - 0.135915i) q^{95} +(1.23970 - 7.55370i) q^{96} +(1.63818 + 4.50085i) q^{97} +(0.650101 - 2.83038i) q^{98} +(-1.52189 + 4.51166i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.408566 0.0720413i −0.288900 0.0509409i 0.0273200 0.999627i \(-0.491303\pi\)
−0.316220 + 0.948686i \(0.602414\pi\)
\(3\) 1.12900 + 1.31353i 0.651831 + 0.758364i
\(4\) −1.71765 0.625173i −0.858824 0.312586i
\(5\) 0.0312679 + 0.177329i 0.0139834 + 0.0793039i 0.991001 0.133855i \(-0.0427358\pi\)
−0.977017 + 0.213159i \(0.931625\pi\)
\(6\) −0.366645 0.617997i −0.149682 0.252296i
\(7\) 1.82229 + 1.91814i 0.688761 + 0.724988i
\(8\) 1.37531 + 0.794036i 0.486246 + 0.280734i
\(9\) −0.450699 + 2.96595i −0.150233 + 0.988651i
\(10\) 0.0747032i 0.0236232i
\(11\) 1.56303 + 0.275605i 0.471272 + 0.0830979i 0.404240 0.914653i \(-0.367536\pi\)
0.0670317 + 0.997751i \(0.478647\pi\)
\(12\) −1.11805 2.96200i −0.322754 0.855055i
\(13\) 3.21910 + 3.83638i 0.892819 + 1.06402i 0.997580 + 0.0695228i \(0.0221477\pi\)
−0.104761 + 0.994497i \(0.533408\pi\)
\(14\) −0.606342 0.914967i −0.162052 0.244535i
\(15\) −0.197625 + 0.241276i −0.0510264 + 0.0622973i
\(16\) 2.29578 + 1.92639i 0.573944 + 0.481597i
\(17\) −7.76129 −1.88239 −0.941195 0.337864i \(-0.890296\pi\)
−0.941195 + 0.337864i \(0.890296\pi\)
\(18\) 0.397812 1.17932i 0.0937651 0.277968i
\(19\) 4.34679i 0.997221i −0.866826 0.498611i \(-0.833844\pi\)
0.866826 0.498611i \(-0.166156\pi\)
\(20\) 0.0571540 0.324137i 0.0127800 0.0724791i
\(21\) −0.462149 + 4.55921i −0.100849 + 0.994902i
\(22\) −0.618747 0.225206i −0.131917 0.0480140i
\(23\) −1.56305 1.86277i −0.325918 0.388414i 0.578059 0.815995i \(-0.303810\pi\)
−0.903977 + 0.427581i \(0.859366\pi\)
\(24\) 0.509745 + 2.70297i 0.104051 + 0.551742i
\(25\) 4.66800 1.69901i 0.933599 0.339802i
\(26\) −1.03884 1.79932i −0.203733 0.352877i
\(27\) −4.40469 + 2.75657i −0.847684 + 0.530502i
\(28\) −1.93089 4.43393i −0.364904 0.837935i
\(29\) 2.81590 3.35586i 0.522899 0.623167i −0.438365 0.898797i \(-0.644442\pi\)
0.961264 + 0.275630i \(0.0888866\pi\)
\(30\) 0.0981246 0.0843403i 0.0179150 0.0153984i
\(31\) 0.459948 1.26370i 0.0826090 0.226966i −0.891510 0.453000i \(-0.850354\pi\)
0.974119 + 0.226034i \(0.0725759\pi\)
\(32\) −2.84078 3.38551i −0.502184 0.598480i
\(33\) 1.40266 + 2.36424i 0.244171 + 0.411562i
\(34\) 3.17100 + 0.559134i 0.543823 + 0.0958906i
\(35\) −0.283162 + 0.383121i −0.0478631 + 0.0647593i
\(36\) 2.62838 4.81270i 0.438063 0.802116i
\(37\) 2.09041 3.62070i 0.343662 0.595240i −0.641448 0.767167i \(-0.721666\pi\)
0.985110 + 0.171927i \(0.0549992\pi\)
\(38\) −0.313148 + 1.77595i −0.0507993 + 0.288097i
\(39\) −1.40480 + 8.55966i −0.224948 + 1.37064i
\(40\) −0.0978025 + 0.268710i −0.0154639 + 0.0424868i
\(41\) 8.48927 7.12335i 1.32580 1.11248i 0.340763 0.940149i \(-0.389315\pi\)
0.985039 0.172331i \(-0.0551297\pi\)
\(42\) 0.517270 1.82945i 0.0798165 0.282290i
\(43\) −0.714703 + 0.260131i −0.108991 + 0.0396696i −0.395940 0.918276i \(-0.629581\pi\)
0.286949 + 0.957946i \(0.407359\pi\)
\(44\) −2.51244 1.45056i −0.378764 0.218680i
\(45\) −0.540041 + 0.0128170i −0.0805046 + 0.00191065i
\(46\) 0.504413 + 0.873669i 0.0743716 + 0.128815i
\(47\) −8.67893 + 3.15887i −1.26595 + 0.460769i −0.885762 0.464139i \(-0.846364\pi\)
−0.380190 + 0.924908i \(0.624141\pi\)
\(48\) 0.0615850 + 5.19046i 0.00888903 + 0.749179i
\(49\) −0.358507 + 6.99081i −0.0512153 + 0.998688i
\(50\) −2.02959 + 0.357871i −0.287027 + 0.0506106i
\(51\) −8.76253 10.1947i −1.22700 1.42754i
\(52\) −3.13089 8.60205i −0.434176 1.19289i
\(53\) −8.42703 4.86535i −1.15754 0.668307i −0.206828 0.978377i \(-0.566314\pi\)
−0.950714 + 0.310071i \(0.899647\pi\)
\(54\) 1.99820 0.808921i 0.271920 0.110080i
\(55\) 0.285788i 0.0385357i
\(56\) 0.983146 + 4.08500i 0.131378 + 0.545881i
\(57\) 5.70962 4.90754i 0.756257 0.650020i
\(58\) −1.39224 + 1.16823i −0.182810 + 0.153396i
\(59\) 1.51017 1.26718i 0.196608 0.164973i −0.539169 0.842197i \(-0.681262\pi\)
0.735777 + 0.677224i \(0.236817\pi\)
\(60\) 0.490289 0.290878i 0.0632960 0.0375522i
\(61\) −0.916897 2.51916i −0.117397 0.322545i 0.867052 0.498218i \(-0.166012\pi\)
−0.984449 + 0.175673i \(0.943790\pi\)
\(62\) −0.278957 + 0.483169i −0.0354276 + 0.0613625i
\(63\) −6.51041 + 4.54033i −0.820235 + 0.572027i
\(64\) −2.08017 3.60297i −0.260022 0.450371i
\(65\) −0.579646 + 0.690796i −0.0718963 + 0.0856827i
\(66\) −0.402755 1.06700i −0.0495757 0.131338i
\(67\) −0.722307 4.09641i −0.0882438 0.500456i −0.996609 0.0822786i \(-0.973780\pi\)
0.908366 0.418177i \(-0.137331\pi\)
\(68\) 13.3312 + 4.85215i 1.61664 + 0.588410i
\(69\) 0.682106 4.15618i 0.0821159 0.500345i
\(70\) 0.143291 0.136131i 0.0171266 0.0162708i
\(71\) 5.04844 2.91472i 0.599139 0.345913i −0.169564 0.985519i \(-0.554236\pi\)
0.768703 + 0.639606i \(0.220903\pi\)
\(72\) −2.97492 + 3.72123i −0.350598 + 0.438551i
\(73\) −7.42228 + 4.28526i −0.868712 + 0.501551i −0.866920 0.498447i \(-0.833904\pi\)
−0.00179209 + 0.999998i \(0.500570\pi\)
\(74\) −1.11491 + 1.32870i −0.129606 + 0.154458i
\(75\) 7.50188 + 4.21334i 0.866243 + 0.486515i
\(76\) −2.71749 + 7.46625i −0.311718 + 0.856438i
\(77\) 2.31965 + 3.50034i 0.264349 + 0.398901i
\(78\) 1.19060 3.39599i 0.134809 0.384520i
\(79\) −0.884454 + 5.01599i −0.0995088 + 0.564343i 0.893763 + 0.448539i \(0.148055\pi\)
−0.993272 + 0.115804i \(0.963056\pi\)
\(80\) −0.269820 + 0.467342i −0.0301668 + 0.0522504i
\(81\) −8.59374 2.67350i −0.954860 0.297056i
\(82\) −3.98161 + 2.29878i −0.439695 + 0.253858i
\(83\) 10.1615 + 8.52653i 1.11537 + 0.935909i 0.998361 0.0572219i \(-0.0182242\pi\)
0.117011 + 0.993131i \(0.462669\pi\)
\(84\) 3.64411 7.54220i 0.397605 0.822922i
\(85\) −0.242679 1.37630i −0.0263222 0.149281i
\(86\) 0.310744 0.0547926i 0.0335084 0.00590843i
\(87\) 7.58716 0.0900220i 0.813429 0.00965137i
\(88\) 1.93081 + 1.62014i 0.205825 + 0.172708i
\(89\) 8.19131 0.868278 0.434139 0.900846i \(-0.357053\pi\)
0.434139 + 0.900846i \(0.357053\pi\)
\(90\) 0.221566 + 0.0336687i 0.0233551 + 0.00354899i
\(91\) −1.49256 + 13.1657i −0.156463 + 1.38014i
\(92\) 1.52022 + 4.17676i 0.158493 + 0.435457i
\(93\) 2.17918 0.822565i 0.225970 0.0852960i
\(94\) 3.77349 0.665368i 0.389206 0.0686275i
\(95\) 0.770811 0.135915i 0.0790835 0.0139446i
\(96\) 1.23970 7.55370i 0.126527 0.770946i
\(97\) 1.63818 + 4.50085i 0.166332 + 0.456993i 0.994655 0.103258i \(-0.0329269\pi\)
−0.828323 + 0.560251i \(0.810705\pi\)
\(98\) 0.650101 2.83038i 0.0656701 0.285912i
\(99\) −1.52189 + 4.51166i −0.152955 + 0.453439i
\(100\) −9.08015 −0.908015
\(101\) 9.59097 + 8.04778i 0.954337 + 0.800784i 0.980023 0.198886i \(-0.0637324\pi\)
−0.0256856 + 0.999670i \(0.508177\pi\)
\(102\) 2.84564 + 4.79646i 0.281760 + 0.474920i
\(103\) 2.76125 0.486882i 0.272074 0.0479739i −0.0359467 0.999354i \(-0.511445\pi\)
0.308020 + 0.951380i \(0.400334\pi\)
\(104\) 1.38104 + 7.83229i 0.135423 + 0.768020i
\(105\) −0.822931 + 0.0606045i −0.0803098 + 0.00591440i
\(106\) 3.09250 + 2.59491i 0.300370 + 0.252040i
\(107\) −6.82463 + 3.94020i −0.659762 + 0.380913i −0.792186 0.610280i \(-0.791057\pi\)
0.132425 + 0.991193i \(0.457724\pi\)
\(108\) 9.28905 1.98112i 0.893839 0.190633i
\(109\) 8.69846 15.0662i 0.833161 1.44308i −0.0623578 0.998054i \(-0.519862\pi\)
0.895519 0.445024i \(-0.146805\pi\)
\(110\) 0.0205886 0.116764i 0.00196304 0.0111330i
\(111\) 7.11597 1.34198i 0.675418 0.127375i
\(112\) 0.488502 + 7.91406i 0.0461591 + 0.747808i
\(113\) 1.02719 2.82219i 0.0966304 0.265490i −0.881954 0.471335i \(-0.843772\pi\)
0.978585 + 0.205845i \(0.0659944\pi\)
\(114\) −2.68630 + 1.59373i −0.251595 + 0.149266i
\(115\) 0.281450 0.335419i 0.0262453 0.0312779i
\(116\) −6.93471 + 4.00376i −0.643872 + 0.371740i
\(117\) −12.8294 + 7.81866i −1.18608 + 0.722835i
\(118\) −0.708295 + 0.408934i −0.0652038 + 0.0376455i
\(119\) −14.1433 14.8872i −1.29652 1.36471i
\(120\) −0.463377 + 0.174909i −0.0423003 + 0.0159669i
\(121\) −7.96951 2.90066i −0.724501 0.263697i
\(122\) 0.193130 + 1.09530i 0.0174852 + 0.0991635i
\(123\) 18.9411 + 3.10859i 1.70786 + 0.280292i
\(124\) −1.58006 + 1.88304i −0.141893 + 0.169102i
\(125\) 0.897403 + 1.55435i 0.0802662 + 0.139025i
\(126\) 2.98703 1.38601i 0.266105 0.123475i
\(127\) 5.25357 9.09945i 0.466179 0.807446i −0.533075 0.846068i \(-0.678964\pi\)
0.999254 + 0.0386222i \(0.0122969\pi\)
\(128\) 3.61343 + 9.92780i 0.319385 + 0.877502i
\(129\) −1.14859 0.645092i −0.101128 0.0567972i
\(130\) 0.286590 0.240477i 0.0251356 0.0210913i
\(131\) −11.1700 + 9.37272i −0.975925 + 0.818898i −0.983470 0.181073i \(-0.942043\pi\)
0.00754465 + 0.999972i \(0.497598\pi\)
\(132\) −0.931210 4.93784i −0.0810514 0.429784i
\(133\) 8.33774 7.92111i 0.722973 0.686848i
\(134\) 1.72569i 0.149077i
\(135\) −0.626545 0.694888i −0.0539244 0.0598064i
\(136\) −10.6742 6.16274i −0.915304 0.528451i
\(137\) −2.17300 5.97027i −0.185652 0.510075i 0.811595 0.584220i \(-0.198599\pi\)
−0.997247 + 0.0741452i \(0.976377\pi\)
\(138\) −0.578102 + 1.64894i −0.0492113 + 0.140367i
\(139\) −15.1483 + 2.67106i −1.28487 + 0.226556i −0.774045 0.633131i \(-0.781769\pi\)
−0.510821 + 0.859687i \(0.670658\pi\)
\(140\) 0.725890 0.481042i 0.0613489 0.0406555i
\(141\) −13.9478 7.83362i −1.17462 0.659710i
\(142\) −2.27260 + 0.827159i −0.190713 + 0.0694137i
\(143\) 3.97424 + 6.88358i 0.332343 + 0.575634i
\(144\) −6.74827 + 5.94095i −0.562356 + 0.495079i
\(145\) 0.683138 + 0.394410i 0.0567315 + 0.0327539i
\(146\) 3.34121 1.21610i 0.276521 0.100645i
\(147\) −9.58737 + 7.42175i −0.790753 + 0.612136i
\(148\) −5.85416 + 4.91223i −0.481209 + 0.403783i
\(149\) 5.96220 16.3810i 0.488442 1.34198i −0.413648 0.910437i \(-0.635746\pi\)
0.902090 0.431547i \(-0.142032\pi\)
\(150\) −2.76148 2.26187i −0.225474 0.184681i
\(151\) 0.399188 2.26391i 0.0324854 0.184234i −0.964247 0.265004i \(-0.914627\pi\)
0.996733 + 0.0807699i \(0.0257379\pi\)
\(152\) 3.45150 5.97818i 0.279954 0.484894i
\(153\) 3.49801 23.0196i 0.282797 1.86103i
\(154\) −0.695563 1.59723i −0.0560500 0.128709i
\(155\) 0.238471 + 0.0420489i 0.0191545 + 0.00337745i
\(156\) 7.76422 13.8243i 0.621635 1.10683i
\(157\) −3.60935 4.30145i −0.288057 0.343293i 0.602538 0.798090i \(-0.294156\pi\)
−0.890595 + 0.454797i \(0.849712\pi\)
\(158\) 0.722716 1.98565i 0.0574962 0.157970i
\(159\) −3.12339 16.5621i −0.247701 1.31346i
\(160\) 0.511524 0.609611i 0.0404395 0.0481940i
\(161\) 0.724718 6.39265i 0.0571157 0.503811i
\(162\) 3.31851 + 1.71141i 0.260727 + 0.134461i
\(163\) 9.58450 + 16.6008i 0.750716 + 1.30028i 0.947476 + 0.319827i \(0.103625\pi\)
−0.196760 + 0.980452i \(0.563042\pi\)
\(164\) −19.0349 + 6.92814i −1.48638 + 0.540997i
\(165\) −0.375390 + 0.322656i −0.0292241 + 0.0251188i
\(166\) −3.53740 4.21571i −0.274555 0.327202i
\(167\) −8.84469 3.21920i −0.684422 0.249109i −0.0236772 0.999720i \(-0.507537\pi\)
−0.660745 + 0.750610i \(0.729760\pi\)
\(168\) −4.25577 + 5.90337i −0.328340 + 0.455455i
\(169\) −2.09775 + 11.8969i −0.161365 + 0.915147i
\(170\) 0.579794i 0.0444681i
\(171\) 12.8924 + 1.95909i 0.985903 + 0.149816i
\(172\) 1.39024 0.106005
\(173\) 4.11126 + 3.44976i 0.312573 + 0.262280i 0.785555 0.618792i \(-0.212378\pi\)
−0.472981 + 0.881072i \(0.656822\pi\)
\(174\) −3.10635 0.509809i −0.235492 0.0386485i
\(175\) 11.7654 + 5.85777i 0.889380 + 0.442805i
\(176\) 3.05745 + 3.64373i 0.230464 + 0.274656i
\(177\) 3.36947 + 0.552992i 0.253265 + 0.0415655i
\(178\) −3.34670 0.590113i −0.250846 0.0442308i
\(179\) 14.8693i 1.11138i 0.831389 + 0.555691i \(0.187546\pi\)
−0.831389 + 0.555691i \(0.812454\pi\)
\(180\) 0.935614 + 0.315604i 0.0697366 + 0.0235237i
\(181\) −5.48950 3.16937i −0.408031 0.235577i 0.281912 0.959440i \(-0.409031\pi\)
−0.689944 + 0.723863i \(0.742365\pi\)
\(182\) 1.55828 5.27153i 0.115508 0.390752i
\(183\) 2.27379 4.04851i 0.168084 0.299274i
\(184\) −0.670572 3.80300i −0.0494352 0.280361i
\(185\) 0.707418 + 0.257479i 0.0520104 + 0.0189302i
\(186\) −0.949598 + 0.179082i −0.0696279 + 0.0131309i
\(187\) −12.1311 2.13905i −0.887117 0.156423i
\(188\) 16.8822 1.23126
\(189\) −13.3141 3.42554i −0.968459 0.249172i
\(190\) −0.324719 −0.0235576
\(191\) 16.6883 + 2.94260i 1.20752 + 0.212919i 0.740947 0.671563i \(-0.234377\pi\)
0.466575 + 0.884482i \(0.345488\pi\)
\(192\) 2.38406 6.80012i 0.172055 0.490757i
\(193\) 11.5156 + 4.19135i 0.828915 + 0.301700i 0.721413 0.692505i \(-0.243493\pi\)
0.107501 + 0.994205i \(0.465715\pi\)
\(194\) −0.345057 1.95691i −0.0247736 0.140498i
\(195\) −1.56180 + 0.0185308i −0.111843 + 0.00132702i
\(196\) 4.98626 11.7836i 0.356161 0.841688i
\(197\) −11.7644 6.79216i −0.838176 0.483921i 0.0184676 0.999829i \(-0.494121\pi\)
−0.856644 + 0.515908i \(0.827455\pi\)
\(198\) 0.946818 1.73368i 0.0672874 0.123207i
\(199\) 7.03966i 0.499028i −0.968371 0.249514i \(-0.919729\pi\)
0.968371 0.249514i \(-0.0802709\pi\)
\(200\) 7.76902 + 1.36989i 0.549352 + 0.0968657i
\(201\) 4.56525 5.57363i 0.322008 0.393133i
\(202\) −3.33878 3.97900i −0.234915 0.279961i
\(203\) 11.5684 0.714068i 0.811941 0.0501177i
\(204\) 8.67753 + 22.9889i 0.607548 + 1.60955i
\(205\) 1.52862 + 1.28266i 0.106763 + 0.0895850i
\(206\) −1.16323 −0.0810459
\(207\) 6.22935 3.79638i 0.432970 0.263867i
\(208\) 15.0087i 1.04067i
\(209\) 1.19799 6.79417i 0.0828670 0.469962i
\(210\) 0.340588 + 0.0345240i 0.0235028 + 0.00238238i
\(211\) −12.4387 4.52733i −0.856318 0.311674i −0.123704 0.992319i \(-0.539477\pi\)
−0.732613 + 0.680645i \(0.761700\pi\)
\(212\) 11.4330 + 13.6253i 0.785221 + 0.935790i
\(213\) 9.52826 + 3.34052i 0.652866 + 0.228889i
\(214\) 3.07217 1.11818i 0.210009 0.0764371i
\(215\) −0.0684760 0.118604i −0.00467002 0.00808871i
\(216\) −8.24663 + 0.293650i −0.561112 + 0.0199804i
\(217\) 3.26210 1.42058i 0.221446 0.0964352i
\(218\) −4.63928 + 5.52888i −0.314212 + 0.374463i
\(219\) −14.0086 4.91128i −0.946612 0.331874i
\(220\) 0.178667 0.490884i 0.0120457 0.0330954i
\(221\) −24.9844 29.7753i −1.68063 2.00290i
\(222\) −3.00403 + 0.0356429i −0.201617 + 0.00239219i
\(223\) −12.9495 2.28334i −0.867162 0.152904i −0.277668 0.960677i \(-0.589562\pi\)
−0.589494 + 0.807773i \(0.700673\pi\)
\(224\) 1.31715 11.6184i 0.0880056 0.776288i
\(225\) 2.93532 + 14.6108i 0.195688 + 0.974053i
\(226\) −0.622992 + 1.07905i −0.0414408 + 0.0717776i
\(227\) −1.26546 + 7.17680i −0.0839918 + 0.476341i 0.913578 + 0.406664i \(0.133308\pi\)
−0.997570 + 0.0696770i \(0.977803\pi\)
\(228\) −12.8752 + 4.85993i −0.852679 + 0.321857i
\(229\) 1.41178 3.87883i 0.0932930 0.256321i −0.884265 0.466985i \(-0.845340\pi\)
0.977559 + 0.210664i \(0.0675626\pi\)
\(230\) −0.139155 + 0.116765i −0.00917560 + 0.00769924i
\(231\) −1.97889 + 6.99882i −0.130202 + 0.460489i
\(232\) 6.53740 2.37942i 0.429202 0.156217i
\(233\) −12.6906 7.32691i −0.831388 0.480002i 0.0229398 0.999737i \(-0.492697\pi\)
−0.854328 + 0.519735i \(0.826031\pi\)
\(234\) 5.80491 2.27020i 0.379479 0.148407i
\(235\) −0.831531 1.44025i −0.0542431 0.0939518i
\(236\) −3.38615 + 1.23246i −0.220420 + 0.0802262i
\(237\) −7.58718 + 4.50132i −0.492840 + 0.292392i
\(238\) 4.70600 + 7.10133i 0.305045 + 0.460311i
\(239\) −22.4643 + 3.96107i −1.45310 + 0.256220i −0.843773 0.536701i \(-0.819670\pi\)
−0.609324 + 0.792921i \(0.708559\pi\)
\(240\) −0.918493 + 0.173215i −0.0592885 + 0.0111810i
\(241\) 0.269437 + 0.740271i 0.0173559 + 0.0476851i 0.948068 0.318068i \(-0.103034\pi\)
−0.930712 + 0.365753i \(0.880812\pi\)
\(242\) 3.04711 + 1.75925i 0.195875 + 0.113089i
\(243\) −6.19065 14.3065i −0.397131 0.917762i
\(244\) 4.90024i 0.313706i
\(245\) −1.25088 + 0.155014i −0.0799160 + 0.00990349i
\(246\) −7.51476 2.63461i −0.479124 0.167977i
\(247\) 16.6759 13.9928i 1.06106 0.890338i
\(248\) 1.63599 1.37276i 0.103885 0.0871703i
\(249\) 0.272586 + 22.9739i 0.0172745 + 1.45591i
\(250\) −0.254672 0.699705i −0.0161069 0.0442532i
\(251\) −5.78209 + 10.0149i −0.364962 + 0.632133i −0.988770 0.149444i \(-0.952251\pi\)
0.623808 + 0.781578i \(0.285585\pi\)
\(252\) 14.0211 3.72855i 0.883245 0.234877i
\(253\) −1.92971 3.34235i −0.121320 0.210132i
\(254\) −2.80197 + 3.33926i −0.175811 + 0.209524i
\(255\) 1.53382 1.87262i 0.0960516 0.117268i
\(256\) 0.683760 + 3.87780i 0.0427350 + 0.242362i
\(257\) 9.55906 + 3.47921i 0.596278 + 0.217027i 0.622488 0.782629i \(-0.286122\pi\)
−0.0262107 + 0.999656i \(0.508344\pi\)
\(258\) 0.422803 + 0.346309i 0.0263225 + 0.0215603i
\(259\) 10.7544 2.58827i 0.668243 0.160828i
\(260\) 1.42750 0.824165i 0.0885295 0.0511125i
\(261\) 8.68419 + 9.86430i 0.537538 + 0.610585i
\(262\) 5.23890 3.02468i 0.323660 0.186865i
\(263\) 11.0604 13.1813i 0.682014 0.812793i −0.308351 0.951273i \(-0.599777\pi\)
0.990365 + 0.138480i \(0.0442216\pi\)
\(264\) 0.0517947 + 4.36532i 0.00318774 + 0.268667i
\(265\) 0.599271 1.64648i 0.0368129 0.101143i
\(266\) −3.97717 + 2.63564i −0.243856 + 0.161601i
\(267\) 9.24803 + 10.7595i 0.565970 + 0.658471i
\(268\) −1.32029 + 7.48775i −0.0806497 + 0.457387i
\(269\) −5.09560 + 8.82584i −0.310684 + 0.538121i −0.978511 0.206196i \(-0.933891\pi\)
0.667826 + 0.744317i \(0.267225\pi\)
\(270\) 0.205924 + 0.329045i 0.0125322 + 0.0200250i
\(271\) −6.85061 + 3.95520i −0.416145 + 0.240261i −0.693426 0.720527i \(-0.743900\pi\)
0.277282 + 0.960789i \(0.410566\pi\)
\(272\) −17.8182 14.9512i −1.08039 0.906552i
\(273\) −18.9786 + 12.9036i −1.14864 + 0.780962i
\(274\) 0.457709 + 2.59580i 0.0276512 + 0.156818i
\(275\) 7.76448 1.36909i 0.468216 0.0825591i
\(276\) −3.76995 + 6.71242i −0.226924 + 0.404040i
\(277\) 10.5255 + 8.83194i 0.632416 + 0.530660i 0.901679 0.432407i \(-0.142336\pi\)
−0.269263 + 0.963067i \(0.586780\pi\)
\(278\) 6.38153 0.382739
\(279\) 3.54076 + 1.93373i 0.211980 + 0.115769i
\(280\) −0.693648 + 0.302069i −0.0414534 + 0.0180521i
\(281\) 0.953112 + 2.61865i 0.0568579 + 0.156216i 0.964870 0.262729i \(-0.0846224\pi\)
−0.908012 + 0.418944i \(0.862400\pi\)
\(282\) 5.13426 + 4.20537i 0.305741 + 0.250426i
\(283\) −16.1660 + 2.85051i −0.960972 + 0.169445i −0.632063 0.774917i \(-0.717792\pi\)
−0.328908 + 0.944362i \(0.606681\pi\)
\(284\) −10.4936 + 1.85031i −0.622683 + 0.109796i
\(285\) 1.04878 + 0.859032i 0.0621241 + 0.0508846i
\(286\) −1.12784 3.09871i −0.0666905 0.183231i
\(287\) 29.1335 + 3.30279i 1.71970 + 0.194957i
\(288\) 11.3216 6.89978i 0.667132 0.406573i
\(289\) 43.2377 2.54339
\(290\) −0.250693 0.210357i −0.0147212 0.0123526i
\(291\) −4.06248 + 7.23327i −0.238147 + 0.424022i
\(292\) 15.4279 2.72035i 0.902849 0.159197i
\(293\) −0.270460 1.53385i −0.0158004 0.0896087i 0.975888 0.218273i \(-0.0700422\pi\)
−0.991688 + 0.128664i \(0.958931\pi\)
\(294\) 4.45175 2.34159i 0.259631 0.136564i
\(295\) 0.271928 + 0.228175i 0.0158323 + 0.0132849i
\(296\) 5.74994 3.31973i 0.334208 0.192955i
\(297\) −7.64440 + 3.09465i −0.443573 + 0.179570i
\(298\) −3.61606 + 6.26320i −0.209473 + 0.362818i
\(299\) 2.11467 11.9929i 0.122295 0.693567i
\(300\) −10.2515 11.9270i −0.591872 0.688606i
\(301\) −1.80136 0.896866i −0.103829 0.0516945i
\(302\) −0.326189 + 0.896198i −0.0187701 + 0.0515704i
\(303\) 0.257281 + 21.6840i 0.0147804 + 1.24571i
\(304\) 8.37359 9.97926i 0.480258 0.572350i
\(305\) 0.418050 0.241361i 0.0239375 0.0138203i
\(306\) −3.08753 + 9.15304i −0.176502 + 0.523245i
\(307\) 1.41615 0.817613i 0.0808238 0.0466637i −0.459043 0.888414i \(-0.651808\pi\)
0.539867 + 0.841750i \(0.318474\pi\)
\(308\) −1.79603 7.46254i −0.102338 0.425218i
\(309\) 3.75699 + 3.07727i 0.213728 + 0.175060i
\(310\) −0.0944022 0.0343596i −0.00536168 0.00195149i
\(311\) 2.06271 + 11.6982i 0.116965 + 0.663344i 0.985758 + 0.168168i \(0.0537852\pi\)
−0.868793 + 0.495176i \(0.835104\pi\)
\(312\) −8.72871 + 10.6567i −0.494166 + 0.603319i
\(313\) −1.19230 + 1.42093i −0.0673929 + 0.0803157i −0.798688 0.601746i \(-0.794472\pi\)
0.731295 + 0.682062i \(0.238916\pi\)
\(314\) 1.16478 + 2.01745i 0.0657321 + 0.113851i
\(315\) −1.00870 1.01252i −0.0568337 0.0570489i
\(316\) 4.65504 8.06276i 0.261866 0.453566i
\(317\) −7.22432 19.8487i −0.405758 1.11481i −0.959398 0.282055i \(-0.908984\pi\)
0.553640 0.832756i \(-0.313238\pi\)
\(318\) 0.0829572 + 6.99174i 0.00465201 + 0.392077i
\(319\) 5.32623 4.46924i 0.298212 0.250229i
\(320\) 0.573867 0.481532i 0.0320802 0.0269184i
\(321\) −12.8806 4.51582i −0.718924 0.252048i
\(322\) −0.756630 + 2.55961i −0.0421653 + 0.142642i
\(323\) 33.7367i 1.87716i
\(324\) 13.0896 + 9.96471i 0.727201 + 0.553595i
\(325\) 21.5448 + 12.4389i 1.19509 + 0.689986i
\(326\) −2.71996 7.47303i −0.150645 0.413893i
\(327\) 29.6104 5.58412i 1.63746 0.308803i
\(328\) 17.3316 3.05602i 0.956976 0.168741i
\(329\) −21.8747 10.8910i −1.20599 0.600440i
\(330\) 0.176616 0.104783i 0.00972242 0.00576811i
\(331\) −23.4181 + 8.52351i −1.28718 + 0.468494i −0.892800 0.450454i \(-0.851262\pi\)
−0.394378 + 0.918948i \(0.629040\pi\)
\(332\) −12.1234 20.9983i −0.665357 1.15243i
\(333\) 9.79669 + 7.83192i 0.536855 + 0.429186i
\(334\) 3.38173 + 1.95244i 0.185040 + 0.106833i
\(335\) 0.703826 0.256172i 0.0384541 0.0139962i
\(336\) −9.84380 + 9.57666i −0.537023 + 0.522450i
\(337\) 4.61488 3.87234i 0.251388 0.210940i −0.508382 0.861132i \(-0.669756\pi\)
0.759770 + 0.650192i \(0.225312\pi\)
\(338\) 1.71414 4.70955i 0.0932368 0.256166i
\(339\) 4.86673 1.83702i 0.264325 0.0997734i
\(340\) −0.443589 + 2.51572i −0.0240570 + 0.136434i
\(341\) 1.06719 1.84843i 0.0577918 0.100098i
\(342\) −5.12625 1.72920i −0.277196 0.0935045i
\(343\) −14.0627 + 12.0516i −0.759312 + 0.650727i
\(344\) −1.18949 0.209740i −0.0641331 0.0113084i
\(345\) 0.758339 0.00899772i 0.0408276 0.000484421i
\(346\) −1.43120 1.70563i −0.0769416 0.0916955i
\(347\) −11.1036 + 30.5068i −0.596071 + 1.63769i 0.162958 + 0.986633i \(0.447897\pi\)
−0.759028 + 0.651057i \(0.774326\pi\)
\(348\) −13.0884 4.58866i −0.701610 0.245978i
\(349\) −6.71581 + 8.00359i −0.359489 + 0.428422i −0.915229 0.402934i \(-0.867990\pi\)
0.555740 + 0.831356i \(0.312435\pi\)
\(350\) −4.38494 3.24088i −0.234385 0.173232i
\(351\) −24.7544 8.02440i −1.32129 0.428311i
\(352\) −3.50717 6.07460i −0.186933 0.323777i
\(353\) 4.68991 1.70699i 0.249618 0.0908537i −0.214181 0.976794i \(-0.568708\pi\)
0.463799 + 0.885940i \(0.346486\pi\)
\(354\) −1.33681 0.468675i −0.0710508 0.0249098i
\(355\) 0.674717 + 0.804097i 0.0358103 + 0.0426770i
\(356\) −14.0698 5.12099i −0.745698 0.271412i
\(357\) 3.58687 35.3854i 0.189837 1.87279i
\(358\) 1.07120 6.07508i 0.0566148 0.321078i
\(359\) 16.1906i 0.854506i −0.904132 0.427253i \(-0.859481\pi\)
0.904132 0.427253i \(-0.140519\pi\)
\(360\) −0.752902 0.411185i −0.0396814 0.0216713i
\(361\) 0.105445 0.00554976
\(362\) 2.01450 + 1.69037i 0.105880 + 0.0888437i
\(363\) −5.18751 13.7430i −0.272274 0.721321i
\(364\) 10.7945 21.6809i 0.565787 1.13639i
\(365\) −0.991979 1.18219i −0.0519225 0.0618789i
\(366\) −1.22066 + 1.49028i −0.0638047 + 0.0778980i
\(367\) −11.3391 1.99938i −0.591895 0.104367i −0.130326 0.991471i \(-0.541602\pi\)
−0.461569 + 0.887104i \(0.652713\pi\)
\(368\) 7.28754i 0.379889i
\(369\) 17.3014 + 28.3893i 0.900675 + 1.47789i
\(370\) −0.270478 0.156161i −0.0140615 0.00811841i
\(371\) −6.02409 25.0303i −0.312755 1.29951i
\(372\) −4.25731 + 0.0505132i −0.220731 + 0.00261898i
\(373\) −5.79313 32.8545i −0.299957 1.70114i −0.646343 0.763047i \(-0.723702\pi\)
0.346386 0.938092i \(-0.387409\pi\)
\(374\) 4.80228 + 1.74789i 0.248320 + 0.0903811i
\(375\) −1.02850 + 2.93363i −0.0531117 + 0.151492i
\(376\) −14.4445 2.54695i −0.744917 0.131349i
\(377\) 21.9390 1.12992
\(378\) 5.19292 + 2.35873i 0.267095 + 0.121320i
\(379\) −12.4601 −0.640032 −0.320016 0.947412i \(-0.603688\pi\)
−0.320016 + 0.947412i \(0.603688\pi\)
\(380\) −1.40895 0.248436i −0.0722777 0.0127445i
\(381\) 17.8837 3.37262i 0.916208 0.172785i
\(382\) −6.60629 2.40449i −0.338007 0.123024i
\(383\) 5.05101 + 28.6457i 0.258094 + 1.46373i 0.788003 + 0.615672i \(0.211115\pi\)
−0.529908 + 0.848055i \(0.677774\pi\)
\(384\) −8.96085 + 15.9549i −0.457282 + 0.814193i
\(385\) −0.548181 + 0.520790i −0.0279379 + 0.0265419i
\(386\) −4.40296 2.54205i −0.224105 0.129387i
\(387\) −0.449419 2.23702i −0.0228453 0.113714i
\(388\) 8.75503i 0.444469i
\(389\) 10.6003 + 1.86913i 0.537459 + 0.0947685i 0.435788 0.900050i \(-0.356470\pi\)
0.101671 + 0.994818i \(0.467581\pi\)
\(390\) 0.639435 + 0.104943i 0.0323790 + 0.00531400i
\(391\) 12.1313 + 14.4575i 0.613505 + 0.731147i
\(392\) −6.04401 + 9.32987i −0.305269 + 0.471230i
\(393\) −24.9223 4.09020i −1.25716 0.206324i
\(394\) 4.31721 + 3.62257i 0.217498 + 0.182502i
\(395\) −0.917134 −0.0461460
\(396\) 5.43464 6.79801i 0.273101 0.341613i
\(397\) 39.1821i 1.96650i 0.182275 + 0.983248i \(0.441654\pi\)
−0.182275 + 0.983248i \(0.558346\pi\)
\(398\) −0.507146 + 2.87617i −0.0254209 + 0.144169i
\(399\) 19.8179 + 2.00886i 0.992137 + 0.100569i
\(400\) 13.9896 + 5.09181i 0.699482 + 0.254590i
\(401\) 6.65975 + 7.93679i 0.332572 + 0.396344i 0.906254 0.422734i \(-0.138930\pi\)
−0.573681 + 0.819079i \(0.694485\pi\)
\(402\) −2.26674 + 1.94831i −0.113055 + 0.0971729i
\(403\) 6.32864 2.30344i 0.315252 0.114742i
\(404\) −11.4427 19.8193i −0.569294 0.986045i
\(405\) 0.205381 1.60751i 0.0102055 0.0798780i
\(406\) −4.77790 0.541657i −0.237123 0.0268820i
\(407\) 4.26527 5.08315i 0.211421 0.251962i
\(408\) −3.95628 20.9786i −0.195865 1.03859i
\(409\) 8.09126 22.2306i 0.400087 1.09923i −0.562154 0.827033i \(-0.690027\pi\)
0.962241 0.272198i \(-0.0877506\pi\)
\(410\) −0.532137 0.634176i −0.0262804 0.0313197i
\(411\) 5.38878 9.59475i 0.265809 0.473274i
\(412\) −5.04723 0.889964i −0.248659 0.0438454i
\(413\) 5.18261 + 0.587538i 0.255019 + 0.0289109i
\(414\) −2.81860 + 1.10230i −0.138527 + 0.0541752i
\(415\) −1.19427 + 2.06854i −0.0586245 + 0.101541i
\(416\) 3.84334 21.7966i 0.188435 1.06867i
\(417\) −20.6110 16.8821i −1.00933 0.826720i
\(418\) −0.978921 + 2.68956i −0.0478806 + 0.131551i
\(419\) 0.297747 0.249839i 0.0145459 0.0122054i −0.635486 0.772113i \(-0.719200\pi\)
0.650032 + 0.759907i \(0.274756\pi\)
\(420\) 1.45139 + 0.410377i 0.0708208 + 0.0200243i
\(421\) −29.2829 + 10.6581i −1.42716 + 0.519444i −0.936116 0.351691i \(-0.885607\pi\)
−0.491044 + 0.871135i \(0.663385\pi\)
\(422\) 4.75590 + 2.74582i 0.231513 + 0.133664i
\(423\) −5.45748 27.1650i −0.265352 1.32081i
\(424\) −7.72652 13.3827i −0.375233 0.649922i
\(425\) −36.2297 + 13.1865i −1.75740 + 0.639640i
\(426\) −3.65227 2.05125i −0.176953 0.0993836i
\(427\) 3.16123 6.34937i 0.152983 0.307268i
\(428\) 14.1856 2.50131i 0.685688 0.120905i
\(429\) −4.55483 + 12.9919i −0.219909 + 0.627253i
\(430\) 0.0194326 + 0.0533907i 0.000937124 + 0.00257473i
\(431\) 20.9763 + 12.1107i 1.01039 + 0.583352i 0.911307 0.411727i \(-0.135074\pi\)
0.0990874 + 0.995079i \(0.468408\pi\)
\(432\) −15.4224 2.15668i −0.742011 0.103763i
\(433\) 10.0296i 0.481991i 0.970526 + 0.240995i \(0.0774739\pi\)
−0.970526 + 0.240995i \(0.922526\pi\)
\(434\) −1.43513 + 0.345395i −0.0688882 + 0.0165795i
\(435\) 0.253198 + 1.34261i 0.0121399 + 0.0643732i
\(436\) −24.3599 + 20.4403i −1.16663 + 0.978915i
\(437\) −8.09706 + 6.79424i −0.387335 + 0.325013i
\(438\) 5.36962 + 3.01578i 0.256570 + 0.144100i
\(439\) −14.0388 38.5712i −0.670034 1.84090i −0.524200 0.851595i \(-0.675636\pi\)
−0.145834 0.989309i \(-0.546587\pi\)
\(440\) −0.226926 + 0.393048i −0.0108183 + 0.0187378i
\(441\) −20.5728 4.21407i −0.979659 0.200670i
\(442\) 8.06274 + 13.9651i 0.383506 + 0.664251i
\(443\) −22.4132 + 26.7110i −1.06488 + 1.26908i −0.103273 + 0.994653i \(0.532932\pi\)
−0.961609 + 0.274424i \(0.911513\pi\)
\(444\) −13.0617 2.14367i −0.619881 0.101734i
\(445\) 0.256125 + 1.45256i 0.0121415 + 0.0688578i
\(446\) 5.12623 + 1.86580i 0.242734 + 0.0883480i
\(447\) 28.2482 10.6627i 1.33609 0.504329i
\(448\) 3.12030 10.5557i 0.147420 0.498711i
\(449\) 0.655683 0.378559i 0.0309436 0.0178653i −0.484448 0.874820i \(-0.660980\pi\)
0.515392 + 0.856955i \(0.327646\pi\)
\(450\) −0.146695 6.18094i −0.00691527 0.291373i
\(451\) 15.2322 8.79433i 0.717258 0.414109i
\(452\) −3.52872 + 4.20536i −0.165977 + 0.197804i
\(453\) 3.42438 2.03162i 0.160891 0.0954536i
\(454\) 1.03405 2.84103i 0.0485305 0.133336i
\(455\) −2.38133 + 0.146989i −0.111638 + 0.00689096i
\(456\) 11.7493 2.21575i 0.550209 0.103762i
\(457\) −5.45161 + 30.9176i −0.255015 + 1.44626i 0.541018 + 0.841011i \(0.318039\pi\)
−0.796033 + 0.605253i \(0.793072\pi\)
\(458\) −0.856242 + 1.48305i −0.0400096 + 0.0692986i
\(459\) 34.1861 21.3945i 1.59567 0.998611i
\(460\) −0.693126 + 0.400177i −0.0323172 + 0.0186583i
\(461\) −8.35408 7.00990i −0.389088 0.326484i 0.427170 0.904171i \(-0.359511\pi\)
−0.816258 + 0.577688i \(0.803955\pi\)
\(462\) 1.31271 2.71692i 0.0610730 0.126403i
\(463\) 1.23596 + 7.00945i 0.0574397 + 0.325757i 0.999965 0.00837823i \(-0.00266690\pi\)
−0.942525 + 0.334135i \(0.891556\pi\)
\(464\) 12.9294 2.27979i 0.600230 0.105837i
\(465\) 0.214003 + 0.360712i 0.00992414 + 0.0167276i
\(466\) 4.65711 + 3.90778i 0.215736 + 0.181024i
\(467\) 13.2274 0.612090 0.306045 0.952017i \(-0.400994\pi\)
0.306045 + 0.952017i \(0.400994\pi\)
\(468\) 26.9244 5.40913i 1.24458 0.250037i
\(469\) 6.54122 8.85033i 0.302045 0.408670i
\(470\) 0.235978 + 0.648344i 0.0108849 + 0.0299059i
\(471\) 1.57510 9.59733i 0.0725768 0.442222i
\(472\) 3.08314 0.543641i 0.141913 0.0250231i
\(473\) −1.18880 + 0.209617i −0.0546610 + 0.00963820i
\(474\) 3.42415 1.29250i 0.157276 0.0593664i
\(475\) −7.38524 20.2908i −0.338858 0.931005i
\(476\) 14.9862 + 34.4131i 0.686891 + 1.57732i
\(477\) 18.2284 22.8014i 0.834623 1.04400i
\(478\) 9.46353 0.432852
\(479\) 1.52575 + 1.28025i 0.0697132 + 0.0584963i 0.676978 0.736003i \(-0.263289\pi\)
−0.607265 + 0.794499i \(0.707733\pi\)
\(480\) 1.37825 0.0163530i 0.0629083 0.000746410i
\(481\) 20.6197 3.63580i 0.940175 0.165778i
\(482\) −0.0567527 0.321861i −0.00258501 0.0146603i
\(483\) 9.21512 6.26539i 0.419302 0.285085i
\(484\) 11.8754 + 9.96464i 0.539791 + 0.452938i
\(485\) −0.746909 + 0.431228i −0.0339154 + 0.0195811i
\(486\) 1.49864 + 6.29114i 0.0679795 + 0.285372i
\(487\) −7.16028 + 12.4020i −0.324463 + 0.561987i −0.981404 0.191956i \(-0.938517\pi\)
0.656940 + 0.753943i \(0.271850\pi\)
\(488\) 0.739281 4.19267i 0.0334657 0.189793i
\(489\) −10.9847 + 31.3319i −0.496745 + 1.41688i
\(490\) 0.522236 + 0.0267816i 0.0235922 + 0.00120987i
\(491\) 9.11592 25.0458i 0.411396 1.13030i −0.545053 0.838401i \(-0.683491\pi\)
0.956449 0.291899i \(-0.0942871\pi\)
\(492\) −30.5908 17.1809i −1.37914 0.774577i
\(493\) −21.8550 + 26.0458i −0.984300 + 1.17304i
\(494\) −7.82128 + 4.51562i −0.351896 + 0.203167i
\(495\) −0.847634 0.128805i −0.0380983 0.00578933i
\(496\) 3.49030 2.01513i 0.156719 0.0904819i
\(497\) 14.7906 + 4.37214i 0.663447 + 0.196117i
\(498\) 1.54370 9.40601i 0.0691749 0.421493i
\(499\) −20.0327 7.29129i −0.896785 0.326403i −0.147821 0.989014i \(-0.547226\pi\)
−0.748964 + 0.662611i \(0.769448\pi\)
\(500\) −0.569687 3.23086i −0.0254772 0.144488i
\(501\) −5.75718 15.2522i −0.257212 0.681419i
\(502\) 3.08385 3.67519i 0.137639 0.164032i
\(503\) −6.74300 11.6792i −0.300655 0.520751i 0.675629 0.737242i \(-0.263872\pi\)
−0.976285 + 0.216491i \(0.930539\pi\)
\(504\) −12.5590 + 1.07486i −0.559423 + 0.0478780i
\(505\) −1.12721 + 1.95239i −0.0501604 + 0.0868803i
\(506\) 0.547626 + 1.50459i 0.0243450 + 0.0668872i
\(507\) −17.9953 + 10.6762i −0.799198 + 0.474147i
\(508\) −14.7125 + 12.3453i −0.652763 + 0.547733i
\(509\) −6.79910 + 5.70512i −0.301365 + 0.252875i −0.780912 0.624641i \(-0.785245\pi\)
0.479547 + 0.877516i \(0.340801\pi\)
\(510\) −0.761574 + 0.654589i −0.0337231 + 0.0289857i
\(511\) −21.7453 6.42797i −0.961954 0.284357i
\(512\) 22.7635i 1.00601i
\(513\) 11.9822 + 19.1463i 0.529028 + 0.845328i
\(514\) −3.65486 2.11014i −0.161209 0.0930741i
\(515\) 0.172677 + 0.474425i 0.00760904 + 0.0209057i
\(516\) 1.56958 + 1.82611i 0.0690970 + 0.0803900i
\(517\) −14.4360 + 2.54546i −0.634897 + 0.111949i
\(518\) −4.58033 + 0.282725i −0.201248 + 0.0124222i
\(519\) 0.110286 + 9.29503i 0.00484101 + 0.408007i
\(520\) −1.34571 + 0.489798i −0.0590133 + 0.0214791i
\(521\) 21.3144 + 36.9177i 0.933802 + 1.61739i 0.776756 + 0.629802i \(0.216864\pi\)
0.157046 + 0.987591i \(0.449803\pi\)
\(522\) −2.83743 4.65584i −0.124191 0.203781i
\(523\) −19.7089 11.3789i −0.861809 0.497565i 0.00280898 0.999996i \(-0.499106\pi\)
−0.864617 + 0.502431i \(0.832439\pi\)
\(524\) 25.0457 9.11587i 1.09412 0.398229i
\(525\) 5.58885 + 22.0676i 0.243917 + 0.963108i
\(526\) −5.46851 + 4.58862i −0.238438 + 0.200074i
\(527\) −3.56979 + 9.80791i −0.155502 + 0.427239i
\(528\) −1.33426 + 8.12983i −0.0580660 + 0.353805i
\(529\) 2.96712 16.8274i 0.129005 0.731625i
\(530\) −0.363457 + 0.629526i −0.0157876 + 0.0273449i
\(531\) 3.07777 + 5.05021i 0.133564 + 0.219161i
\(532\) −19.2734 + 8.39316i −0.835606 + 0.363890i
\(533\) 54.6557 + 9.63728i 2.36740 + 0.417437i
\(534\) −3.00331 5.06221i −0.129966 0.219063i
\(535\) −0.912103 1.08700i −0.0394336 0.0469952i
\(536\) 2.25930 6.20737i 0.0975867 0.268117i
\(537\) −19.5312 + 16.7875i −0.842832 + 0.724433i
\(538\) 2.71772 3.23885i 0.117169 0.139637i
\(539\) −2.48706 + 10.8281i −0.107125 + 0.466397i
\(540\) 0.641758 + 1.58527i 0.0276169 + 0.0682192i
\(541\) −1.69482 2.93552i −0.0728660 0.126208i 0.827290 0.561775i \(-0.189881\pi\)
−0.900156 + 0.435567i \(0.856548\pi\)
\(542\) 3.08387 1.12244i 0.132463 0.0482127i
\(543\) −2.03463 10.7888i −0.0873142 0.462993i
\(544\) 22.0482 + 26.2760i 0.945307 + 1.12657i
\(545\) 2.94365 + 1.07140i 0.126092 + 0.0458938i
\(546\) 8.68360 3.90474i 0.371624 0.167107i
\(547\) −0.794100 + 4.50356i −0.0339532 + 0.192558i −0.997067 0.0765371i \(-0.975614\pi\)
0.963113 + 0.269096i \(0.0867247\pi\)
\(548\) 11.6133i 0.496097i
\(549\) 7.88494 1.58409i 0.336521 0.0676074i
\(550\) −3.27094 −0.139473
\(551\) −14.5872 12.2401i −0.621435 0.521446i
\(552\) 4.23826 5.17442i 0.180392 0.220238i
\(553\) −11.2331 + 7.44408i −0.477679 + 0.316555i
\(554\) −3.66410 4.36671i −0.155673 0.185524i
\(555\) 0.460473 + 1.21991i 0.0195460 + 0.0517822i
\(556\) 27.6894 + 4.88239i 1.17429 + 0.207059i
\(557\) 28.3433i 1.20094i 0.799646 + 0.600472i \(0.205021\pi\)
−0.799646 + 0.600472i \(0.794979\pi\)
\(558\) −1.30733 1.04514i −0.0553436 0.0442442i
\(559\) −3.29867 1.90449i −0.139519 0.0805511i
\(560\) −1.38812 + 0.334081i −0.0586586 + 0.0141175i
\(561\) −10.8864 18.3496i −0.459625 0.774719i
\(562\) −0.200758 1.13856i −0.00846848 0.0480271i
\(563\) 4.56240 + 1.66058i 0.192282 + 0.0699851i 0.436367 0.899769i \(-0.356265\pi\)
−0.244084 + 0.969754i \(0.578487\pi\)
\(564\) 19.0601 + 22.1752i 0.802574 + 0.933744i
\(565\) 0.532575 + 0.0939073i 0.0224056 + 0.00395071i
\(566\) 6.81026 0.286257
\(567\) −10.5322 21.3559i −0.442309 0.896863i
\(568\) 9.25755 0.388438
\(569\) 24.0084 + 4.23332i 1.00648 + 0.177470i 0.652506 0.757784i \(-0.273718\pi\)
0.353978 + 0.935254i \(0.384829\pi\)
\(570\) −0.366609 0.426527i −0.0153556 0.0178652i
\(571\) 6.78414 + 2.46923i 0.283908 + 0.103334i 0.480049 0.877242i \(-0.340619\pi\)
−0.196141 + 0.980576i \(0.562841\pi\)
\(572\) −2.52292 14.3082i −0.105488 0.598254i
\(573\) 14.9760 + 25.2427i 0.625630 + 1.05453i
\(574\) −11.6650 3.44822i −0.486889 0.143926i
\(575\) −10.4612 6.03976i −0.436261 0.251875i
\(576\) 11.6238 4.54584i 0.484323 0.189410i
\(577\) 26.1510i 1.08868i 0.838864 + 0.544340i \(0.183220\pi\)
−0.838864 + 0.544340i \(0.816780\pi\)
\(578\) −17.6655 3.11490i −0.734786 0.129563i
\(579\) 7.49577 + 19.8582i 0.311513 + 0.825277i
\(580\) −0.926816 1.10454i −0.0384839 0.0458634i
\(581\) 2.16220 + 35.0290i 0.0897030 + 1.45325i
\(582\) 2.18089 2.66261i 0.0904007 0.110369i
\(583\) −11.8308 9.92722i −0.489982 0.411143i
\(584\) −13.6106 −0.563210
\(585\) −1.78762 2.03054i −0.0739090 0.0839527i
\(586\) 0.646165i 0.0266928i
\(587\) −3.34943 + 18.9956i −0.138246 + 0.784031i 0.834298 + 0.551313i \(0.185873\pi\)
−0.972544 + 0.232718i \(0.925238\pi\)
\(588\) 21.1076 6.75419i 0.870463 0.278538i
\(589\) −5.49302 1.99929i −0.226336 0.0823795i
\(590\) −0.0946628 0.112815i −0.00389720 0.00464451i
\(591\) −4.36034 23.1212i −0.179361 0.951078i
\(592\) 11.7740 4.28539i 0.483908 0.176128i
\(593\) −19.5311 33.8289i −0.802047 1.38919i −0.918266 0.395963i \(-0.870411\pi\)
0.116219 0.993224i \(-0.462922\pi\)
\(594\) 3.34619 0.713657i 0.137296 0.0292817i
\(595\) 2.19770 2.97351i 0.0900971 0.121902i
\(596\) −20.4819 + 24.4094i −0.838972 + 0.999848i
\(597\) 9.24677 7.94781i 0.378445 0.325282i
\(598\) −1.72797 + 4.74755i −0.0706618 + 0.194142i
\(599\) 5.53430 + 6.59552i 0.226125 + 0.269486i 0.867164 0.498023i \(-0.165941\pi\)
−0.641038 + 0.767509i \(0.721496\pi\)
\(600\) 6.97187 + 11.7514i 0.284625 + 0.479749i
\(601\) 41.3305 + 7.28768i 1.68591 + 0.297271i 0.932737 0.360557i \(-0.117413\pi\)
0.753168 + 0.657828i \(0.228525\pi\)
\(602\) 0.671366 + 0.496202i 0.0273628 + 0.0202237i
\(603\) 12.4753 0.296081i 0.508033 0.0120574i
\(604\) −2.10100 + 3.63903i −0.0854883 + 0.148070i
\(605\) 0.265182 1.50392i 0.0107812 0.0611431i
\(606\) 1.45702 8.87787i 0.0591875 0.360639i
\(607\) 15.1581 41.6466i 0.615249 1.69038i −0.103073 0.994674i \(-0.532868\pi\)
0.718323 0.695710i \(-0.244910\pi\)
\(608\) −14.7161 + 12.3483i −0.596817 + 0.500789i
\(609\) 13.9987 + 14.3892i 0.567256 + 0.583079i
\(610\) −0.188189 + 0.0684952i −0.00761955 + 0.00277329i
\(611\) −40.0570 23.1269i −1.62053 0.935615i
\(612\) −20.3996 + 37.3528i −0.824605 + 1.50990i
\(613\) −22.3176 38.6553i −0.901401 1.56127i −0.825677 0.564143i \(-0.809207\pi\)
−0.0757236 0.997129i \(-0.524127\pi\)
\(614\) −0.637493 + 0.232028i −0.0257271 + 0.00936390i
\(615\) 0.0410057 + 3.45601i 0.00165351 + 0.139360i
\(616\) 0.410843 + 6.65594i 0.0165534 + 0.268176i
\(617\) 26.5556 4.68248i 1.06909 0.188509i 0.388703 0.921363i \(-0.372923\pi\)
0.680386 + 0.732854i \(0.261812\pi\)
\(618\) −1.31329 1.52793i −0.0528282 0.0614623i
\(619\) 13.2165 + 36.3120i 0.531215 + 1.45950i 0.857626 + 0.514274i \(0.171939\pi\)
−0.326411 + 0.945228i \(0.605839\pi\)
\(620\) −0.383322 0.221311i −0.0153946 0.00888807i
\(621\) 12.0196 + 3.89628i 0.482330 + 0.156352i
\(622\) 4.92809i 0.197599i
\(623\) 14.9270 + 15.7121i 0.598036 + 0.629491i
\(624\) −19.7143 + 16.9449i −0.789205 + 0.678339i
\(625\) 18.7794 15.7577i 0.751174 0.630310i
\(626\) 0.589500 0.494650i 0.0235612 0.0197702i
\(627\) 10.2769 6.09705i 0.410418 0.243493i
\(628\) 3.51044 + 9.64485i 0.140082 + 0.384871i
\(629\) −16.2243 + 28.1013i −0.646906 + 1.12047i
\(630\) 0.339177 + 0.486349i 0.0135131 + 0.0193766i
\(631\) −5.01811 8.69163i −0.199768 0.346008i 0.748685 0.662926i \(-0.230686\pi\)
−0.948453 + 0.316917i \(0.897352\pi\)
\(632\) −5.19927 + 6.19625i −0.206816 + 0.246474i
\(633\) −8.09662 21.4500i −0.321812 0.852560i
\(634\) 1.52169 + 8.62995i 0.0604341 + 0.342739i
\(635\) 1.77786 + 0.647090i 0.0705524 + 0.0256790i
\(636\) −4.98930 + 30.4006i −0.197838 + 1.20546i
\(637\) −27.9735 + 21.1288i −1.10835 + 0.837153i
\(638\) −2.49809 + 1.44227i −0.0989002 + 0.0571001i
\(639\) 6.36958 + 16.2871i 0.251977 + 0.644307i
\(640\) −1.64750 + 0.951186i −0.0651233 + 0.0375989i
\(641\) 20.4966 24.4269i 0.809567 0.964804i −0.190290 0.981728i \(-0.560943\pi\)
0.999857 + 0.0169239i \(0.00538730\pi\)
\(642\) 4.93725 + 2.77295i 0.194858 + 0.109439i
\(643\) −4.12226 + 11.3258i −0.162566 + 0.446646i −0.994053 0.108898i \(-0.965268\pi\)
0.831487 + 0.555544i \(0.187490\pi\)
\(644\) −5.24132 + 10.5273i −0.206537 + 0.414832i
\(645\) 0.0784795 0.223849i 0.00309013 0.00881405i
\(646\) 2.43043 13.7837i 0.0956242 0.542312i
\(647\) 21.3692 37.0126i 0.840111 1.45512i −0.0496886 0.998765i \(-0.515823\pi\)
0.889800 0.456351i \(-0.150844\pi\)
\(648\) −9.69620 10.5006i −0.380903 0.412504i
\(649\) 2.70969 1.56444i 0.106365 0.0614096i
\(650\) −7.90637 6.63424i −0.310114 0.260216i
\(651\) 5.54889 + 2.68101i 0.217478 + 0.105077i
\(652\) −6.08441 34.5064i −0.238284 1.35137i
\(653\) 14.0027 2.46906i 0.547970 0.0966218i 0.107192 0.994238i \(-0.465814\pi\)
0.440777 + 0.897616i \(0.354703\pi\)
\(654\) −12.5001 + 0.148314i −0.488793 + 0.00579954i
\(655\) −2.01132 1.68769i −0.0785886 0.0659437i
\(656\) 33.2118 1.29670
\(657\) −9.36465 23.9455i −0.365350 0.934202i
\(658\) 8.15267 + 6.02558i 0.317824 + 0.234902i
\(659\) 0.747205 + 2.05293i 0.0291070 + 0.0799707i 0.953395 0.301725i \(-0.0975624\pi\)
−0.924288 + 0.381696i \(0.875340\pi\)
\(660\) 0.846505 0.319526i 0.0329501 0.0124375i
\(661\) −19.1020 + 3.36819i −0.742980 + 0.131007i −0.532310 0.846550i \(-0.678676\pi\)
−0.210670 + 0.977557i \(0.567565\pi\)
\(662\) 10.1819 1.79535i 0.395731 0.0697781i
\(663\) 10.9031 66.4341i 0.423440 2.58008i
\(664\) 7.20488 + 19.7952i 0.279604 + 0.768204i
\(665\) 1.66535 + 1.23085i 0.0645793 + 0.0477301i
\(666\) −3.43838 3.90562i −0.133234 0.151340i
\(667\) −10.6526 −0.412469
\(668\) 13.1795 + 11.0589i 0.509930 + 0.427882i
\(669\) −11.6208 19.5874i −0.449286 0.757292i
\(670\) −0.306015 + 0.0539587i −0.0118224 + 0.00208460i
\(671\) −0.738849 4.19022i −0.0285229 0.161762i
\(672\) 16.7481 11.3871i 0.646074 0.439268i
\(673\) −8.85877 7.43339i −0.341480 0.286536i 0.455878 0.890042i \(-0.349325\pi\)
−0.797358 + 0.603506i \(0.793770\pi\)
\(674\) −2.16445 + 1.24965i −0.0833716 + 0.0481346i
\(675\) −15.8777 + 20.3513i −0.611131 + 0.783321i
\(676\) 11.0408 19.1233i 0.424647 0.735510i
\(677\) −2.04862 + 11.6183i −0.0787348 + 0.446527i 0.919799 + 0.392390i \(0.128352\pi\)
−0.998534 + 0.0541367i \(0.982759\pi\)
\(678\) −2.12073 + 0.399940i −0.0814460 + 0.0153596i
\(679\) −5.64802 + 11.3441i −0.216751 + 0.435347i
\(680\) 0.759073 2.08554i 0.0291091 0.0799767i
\(681\) −10.8556 + 6.44042i −0.415988 + 0.246797i
\(682\) −0.569183 + 0.678326i −0.0217951 + 0.0259744i
\(683\) 20.5498 11.8644i 0.786317 0.453980i −0.0523472 0.998629i \(-0.516670\pi\)
0.838664 + 0.544648i \(0.183337\pi\)
\(684\) −20.9198 11.4250i −0.799888 0.436845i
\(685\) 0.990756 0.572013i 0.0378549 0.0218555i
\(686\) 6.61374 3.91080i 0.252514 0.149315i
\(687\) 6.68885 2.52481i 0.255196 0.0963275i
\(688\) −2.14191 0.779592i −0.0816596 0.0297217i
\(689\) −8.46217 47.9913i −0.322383 1.82832i
\(690\) −0.310480 0.0509555i −0.0118198 0.00193984i
\(691\) −4.08371 + 4.86678i −0.155352 + 0.185141i −0.838107 0.545507i \(-0.816337\pi\)
0.682755 + 0.730648i \(0.260782\pi\)
\(692\) −4.90500 8.49571i −0.186460 0.322959i
\(693\) −11.4273 + 5.30237i −0.434088 + 0.201421i
\(694\) 6.73429 11.6641i 0.255630 0.442765i
\(695\) −0.947313 2.60272i −0.0359336 0.0987268i
\(696\) 10.5062 + 5.90067i 0.398236 + 0.223664i
\(697\) −65.8877 + 55.2864i −2.49568 + 2.09412i
\(698\) 3.32044 2.78618i 0.125681 0.105459i
\(699\) −4.70364 24.9415i −0.177908 0.943375i
\(700\) −16.5467 17.4170i −0.625406 0.658300i
\(701\) 30.6664i 1.15825i 0.815238 + 0.579126i \(0.196606\pi\)
−0.815238 + 0.579126i \(0.803394\pi\)
\(702\) 9.53573 + 5.06184i 0.359903 + 0.191047i
\(703\) −15.7384 9.08659i −0.593586 0.342707i
\(704\) −2.25838 6.20485i −0.0851160 0.233854i
\(705\) 0.953009 2.71829i 0.0358924 0.102377i
\(706\) −2.03911 + 0.359550i −0.0767430 + 0.0135319i
\(707\) 2.04079 + 33.0622i 0.0767518 + 1.24343i
\(708\) −5.44185 3.05635i −0.204517 0.114865i
\(709\) 13.9023 5.06001i 0.522111 0.190033i −0.0675015 0.997719i \(-0.521503\pi\)
0.589612 + 0.807686i \(0.299281\pi\)
\(710\) −0.217739 0.377134i −0.00817159 0.0141536i
\(711\) −14.4786 4.88395i −0.542988 0.183162i
\(712\) 11.2656 + 6.50420i 0.422196 + 0.243755i
\(713\) −3.07289 + 1.11844i −0.115081 + 0.0418860i
\(714\) −4.01468 + 14.1989i −0.150246 + 0.531380i
\(715\) −1.09639 + 0.919982i −0.0410027 + 0.0344054i
\(716\) 9.29587 25.5402i 0.347403 0.954481i
\(717\) −30.5653 25.0354i −1.14148 0.934965i
\(718\) −1.16639 + 6.61492i −0.0435293 + 0.246867i
\(719\) −4.89820 + 8.48393i −0.182672 + 0.316397i −0.942790 0.333388i \(-0.891808\pi\)
0.760118 + 0.649786i \(0.225141\pi\)
\(720\) −1.26451 1.01090i −0.0471253 0.0376741i
\(721\) 5.96570 + 4.40921i 0.222174 + 0.164208i
\(722\) −0.0430815 0.00759643i −0.00160333 0.000282710i
\(723\) −0.668170 + 1.18968i −0.0248495 + 0.0442447i
\(724\) 7.44763 + 8.87574i 0.276789 + 0.329864i
\(725\) 7.44296 20.4494i 0.276425 0.759470i
\(726\) 1.12938 + 5.98865i 0.0419152 + 0.222260i
\(727\) 29.0898 34.6679i 1.07888 1.28576i 0.122873 0.992422i \(-0.460789\pi\)
0.956009 0.293339i \(-0.0947663\pi\)
\(728\) −12.5068 + 16.9218i −0.463531 + 0.627162i
\(729\) 11.8027 24.2837i 0.437136 0.899395i
\(730\) 0.320122 + 0.554468i 0.0118483 + 0.0205218i
\(731\) 5.54702 2.01895i 0.205164 0.0746736i
\(732\) −6.43659 + 5.53239i −0.237903 + 0.204483i
\(733\) −15.4136 18.3692i −0.569315 0.678483i 0.402175 0.915563i \(-0.368254\pi\)
−0.971490 + 0.237079i \(0.923810\pi\)
\(734\) 4.48873 + 1.63376i 0.165682 + 0.0603033i
\(735\) −1.61587 1.46806i −0.0596022 0.0541500i
\(736\) −1.86615 + 10.5834i −0.0687871 + 0.390111i
\(737\) 6.60188i 0.243184i
\(738\) −5.02357 12.8453i −0.184920 0.472843i
\(739\) −22.3128 −0.820790 −0.410395 0.911908i \(-0.634609\pi\)
−0.410395 + 0.911908i \(0.634609\pi\)
\(740\) −1.05413 0.884518i −0.0387505 0.0325155i
\(741\) 37.2070 + 6.10637i 1.36683 + 0.224323i
\(742\) 0.658029 + 10.6605i 0.0241570 + 0.391360i
\(743\) −28.1973 33.6043i −1.03446 1.23282i −0.972051 0.234770i \(-0.924566\pi\)
−0.0624085 0.998051i \(-0.519878\pi\)
\(744\) 3.65019 + 0.599065i 0.133823 + 0.0219628i
\(745\) 3.09125 + 0.545071i 0.113255 + 0.0199699i
\(746\) 13.8406i 0.506739i
\(747\) −29.8691 + 26.2957i −1.09285 + 0.962109i
\(748\) 19.4998 + 11.2582i 0.712982 + 0.411641i
\(749\) −19.9943 5.91038i −0.730576 0.215961i
\(750\) 0.631555 1.12449i 0.0230611 0.0410605i
\(751\) −3.23209 18.3301i −0.117941 0.668875i −0.985252 0.171109i \(-0.945265\pi\)
0.867311 0.497766i \(-0.165846\pi\)
\(752\) −26.0101 9.46690i −0.948491 0.345222i
\(753\) −19.6828 + 3.71191i −0.717281 + 0.135270i
\(754\) −8.96354 1.58051i −0.326433 0.0575589i
\(755\) 0.413938 0.0150647
\(756\) 20.7274 + 14.2075i 0.753849 + 0.516722i
\(757\) 26.2705 0.954819 0.477410 0.878681i \(-0.341576\pi\)
0.477410 + 0.878681i \(0.341576\pi\)
\(758\) 5.09078 + 0.897641i 0.184905 + 0.0326038i
\(759\) 2.21162 6.30825i 0.0802766 0.228975i
\(760\) 1.16803 + 0.425126i 0.0423687 + 0.0154210i
\(761\) 2.11972 + 12.0216i 0.0768399 + 0.435781i 0.998821 + 0.0485459i \(0.0154587\pi\)
−0.921981 + 0.387235i \(0.873430\pi\)
\(762\) −7.54964 + 0.0895767i −0.273494 + 0.00324502i
\(763\) 44.7501 10.7701i 1.62006 0.389904i
\(764\) −26.8250 15.4874i −0.970494 0.560315i
\(765\) 4.19142 0.0994767i 0.151541 0.00359659i
\(766\) 12.0676i 0.436018i
\(767\) 9.72280 + 1.71439i 0.351070 + 0.0619031i
\(768\) −4.32162 + 5.27619i −0.155943 + 0.190388i
\(769\) 5.10850 + 6.08807i 0.184217 + 0.219541i 0.850247 0.526383i \(-0.176452\pi\)
−0.666030 + 0.745925i \(0.732008\pi\)
\(770\) 0.261487 0.173285i 0.00942333 0.00624478i
\(771\) 6.22218 + 16.4841i 0.224086 + 0.593661i
\(772\) −17.1595 14.3985i −0.617585 0.518215i
\(773\) 7.78940 0.280165 0.140083 0.990140i \(-0.455263\pi\)
0.140083 + 0.990140i \(0.455263\pi\)
\(774\) 0.0224600 + 0.946347i 0.000807310 + 0.0340157i
\(775\) 6.68038i 0.239966i
\(776\) −1.32084 + 7.49084i −0.0474153 + 0.268906i
\(777\) 15.5415 + 11.2039i 0.557547 + 0.401939i
\(778\) −4.19629 1.52733i −0.150444 0.0547573i
\(779\) −30.9637 36.9011i −1.10939 1.32212i
\(780\) 2.69421 + 0.944566i 0.0964682 + 0.0338209i
\(781\) 8.69418 3.16442i 0.311102 0.113232i
\(782\) −3.91490 6.78080i −0.139996 0.242481i
\(783\) −3.15253 + 22.5437i −0.112662 + 0.805647i
\(784\) −14.2901 + 15.3587i −0.510359 + 0.548526i
\(785\) 0.649915 0.774539i 0.0231965 0.0276445i
\(786\) 9.88773 + 3.46655i 0.352684 + 0.123648i
\(787\) −8.13240 + 22.3436i −0.289889 + 0.796463i 0.706193 + 0.708020i \(0.250411\pi\)
−0.996081 + 0.0884429i \(0.971811\pi\)
\(788\) 15.9608 + 19.0213i 0.568579 + 0.677606i
\(789\) 29.8012 0.353592i 1.06095 0.0125882i
\(790\) 0.374710 + 0.0660715i 0.0133316 + 0.00235072i
\(791\) 7.28521 3.17256i 0.259032 0.112803i
\(792\) −5.67549 + 4.99650i −0.201670 + 0.177543i
\(793\) 6.71285 11.6270i 0.238380 0.412887i
\(794\) 2.82273 16.0085i 0.100175 0.568121i
\(795\) 2.83928 1.07173i 0.100699 0.0380103i
\(796\) −4.40101 + 12.0917i −0.155989 + 0.428578i
\(797\) −10.6111 + 8.90378i −0.375865 + 0.315388i −0.811077 0.584940i \(-0.801118\pi\)
0.435212 + 0.900328i \(0.356674\pi\)
\(798\) −7.95222 2.24846i −0.281505 0.0795947i
\(799\) 67.3597 24.5169i 2.38302 0.867347i
\(800\) −19.0128 10.9770i −0.672204 0.388097i
\(801\) −3.69182 + 24.2950i −0.130444 + 0.858423i
\(802\) −2.14918 3.72248i −0.0758900 0.131445i
\(803\) −12.7823 + 4.65238i −0.451077 + 0.164179i
\(804\) −11.3260 + 6.71947i −0.399436 + 0.236977i
\(805\) 1.15626 0.0713712i 0.0407529 0.00251551i
\(806\) −2.75161 + 0.485183i −0.0969214 + 0.0170899i
\(807\) −17.3459 + 3.27121i −0.610605 + 0.115152i
\(808\) 6.80033 + 18.6838i 0.239235 + 0.657292i
\(809\) −28.3326 16.3578i −0.996122 0.575111i −0.0890233 0.996030i \(-0.528375\pi\)
−0.907099 + 0.420918i \(0.861708\pi\)
\(810\) −0.199719 + 0.641980i −0.00701742 + 0.0225569i
\(811\) 47.6172i 1.67207i −0.548679 0.836033i \(-0.684869\pi\)
0.548679 0.836033i \(-0.315131\pi\)
\(812\) −20.3168 6.00572i −0.712981 0.210760i
\(813\) −12.9296 4.53301i −0.453462 0.158980i
\(814\) −2.10884 + 1.76953i −0.0739149 + 0.0620219i
\(815\) −2.64412 + 2.21868i −0.0926196 + 0.0777171i
\(816\) −0.477979 40.2847i −0.0167326 1.41025i
\(817\) 1.13073 + 3.10666i 0.0395593 + 0.108688i
\(818\) −4.90734 + 8.49976i −0.171581 + 0.297187i
\(819\) −38.3761 10.3606i −1.34097 0.362029i
\(820\) −1.82374 3.15881i −0.0636878 0.110311i
\(821\) −31.4248 + 37.4506i −1.09673 + 1.30703i −0.148691 + 0.988884i \(0.547506\pi\)
−0.948040 + 0.318150i \(0.896938\pi\)
\(822\) −2.89289 + 3.53188i −0.100901 + 0.123188i
\(823\) 3.43354 + 19.4726i 0.119686 + 0.678771i 0.984323 + 0.176375i \(0.0564371\pi\)
−0.864637 + 0.502396i \(0.832452\pi\)
\(824\) 4.18417 + 1.52291i 0.145762 + 0.0530532i
\(825\) 10.5645 + 8.65314i 0.367807 + 0.301264i
\(826\) −2.07511 0.613410i −0.0722024 0.0213433i
\(827\) 33.5168 19.3510i 1.16549 0.672899i 0.212880 0.977078i \(-0.431716\pi\)
0.952615 + 0.304180i \(0.0983823\pi\)
\(828\) −13.0732 + 2.62643i −0.454326 + 0.0912746i
\(829\) 11.1500 6.43746i 0.387256 0.223582i −0.293715 0.955893i \(-0.594892\pi\)
0.680970 + 0.732311i \(0.261558\pi\)
\(830\) 0.636960 0.759099i 0.0221092 0.0263487i
\(831\) 0.282350 + 23.7968i 0.00979461 + 0.825502i
\(832\) 7.12605 19.5787i 0.247051 0.678768i
\(833\) 2.78248 54.2577i 0.0964072 1.87992i
\(834\) 7.20477 + 8.38230i 0.249481 + 0.290255i
\(835\) 0.294303 1.66908i 0.0101848 0.0577608i
\(836\) −6.30526 + 10.9210i −0.218072 + 0.377712i
\(837\) 1.45753 + 6.83407i 0.0503797 + 0.236220i
\(838\) −0.139648 + 0.0806258i −0.00482406 + 0.00278517i
\(839\) 10.7228 + 8.99751i 0.370193 + 0.310628i 0.808838 0.588032i \(-0.200097\pi\)
−0.438645 + 0.898660i \(0.644541\pi\)
\(840\) −1.17991 0.570086i −0.0407107 0.0196698i
\(841\) 1.70331 + 9.65992i 0.0587347 + 0.333101i
\(842\) 12.7318 2.24496i 0.438768 0.0773666i
\(843\) −2.36360 + 4.20841i −0.0814067 + 0.144945i
\(844\) 18.5350 + 15.5527i 0.638001 + 0.535347i
\(845\) −2.17526 −0.0748312
\(846\) 0.272741 + 11.4919i 0.00937704 + 0.395099i
\(847\) −8.95889 20.5725i −0.307831 0.706879i
\(848\) −9.97405 27.4035i −0.342510 0.941039i
\(849\) −21.9958 18.0163i −0.754892 0.618317i
\(850\) 15.7522 2.77754i 0.540296 0.0952688i
\(851\) −10.0120 + 1.76538i −0.343205 + 0.0605164i
\(852\) −14.2778 11.6947i −0.489149 0.400652i
\(853\) 1.21924 + 3.34982i 0.0417458 + 0.114696i 0.958814 0.284035i \(-0.0916731\pi\)
−0.917068 + 0.398730i \(0.869451\pi\)
\(854\) −1.74899 + 2.36640i −0.0598492 + 0.0809766i
\(855\) 0.0557129 + 2.34744i 0.00190534 + 0.0802809i
\(856\) −12.5146 −0.427741
\(857\) −22.6428 18.9996i −0.773464 0.649013i 0.168130 0.985765i \(-0.446227\pi\)
−0.941593 + 0.336752i \(0.890672\pi\)
\(858\) 2.79690 4.97990i 0.0954846 0.170011i
\(859\) 26.8449 4.73347i 0.915935 0.161504i 0.304238 0.952596i \(-0.401598\pi\)
0.611697 + 0.791092i \(0.290487\pi\)
\(860\) 0.0434697 + 0.246529i 0.00148231 + 0.00840657i
\(861\) 28.5535 + 41.9965i 0.973102 + 1.43124i
\(862\) −7.69776 6.45919i −0.262187 0.220001i
\(863\) −23.1530 + 13.3674i −0.788136 + 0.455031i −0.839306 0.543659i \(-0.817038\pi\)
0.0511699 + 0.998690i \(0.483705\pi\)
\(864\) 21.8452 + 7.08134i 0.743188 + 0.240912i
\(865\) −0.483191 + 0.836911i −0.0164290 + 0.0284558i
\(866\) 0.722544 4.09775i 0.0245530 0.139247i
\(867\) 48.8155 + 56.7938i 1.65786 + 1.92882i
\(868\) −6.49125 + 0.400678i −0.220327 + 0.0135999i
\(869\) −2.76486 + 7.59639i −0.0937914 + 0.257690i
\(870\) −0.00672493 0.566786i −0.000227997 0.0192158i
\(871\) 13.3902 15.9578i 0.453709 0.540710i
\(872\) 23.9262 13.8138i 0.810242 0.467793i
\(873\) −14.0876 + 2.83022i −0.476794 + 0.0957886i
\(874\) 3.79765 2.19258i 0.128458 0.0741650i
\(875\) −1.34612 + 4.55382i −0.0455073 + 0.153947i
\(876\) 20.9914 + 17.1936i 0.709234 + 0.580919i
\(877\) 39.7412 + 14.4646i 1.34196 + 0.488435i 0.910430 0.413662i \(-0.135751\pi\)
0.431533 + 0.902097i \(0.357973\pi\)
\(878\) 2.95705 + 16.7703i 0.0997957 + 0.565970i
\(879\) 1.70941 2.08698i 0.0576568 0.0703922i
\(880\) −0.550539 + 0.656106i −0.0185587 + 0.0221173i
\(881\) −24.9251 43.1715i −0.839747 1.45448i −0.890106 0.455753i \(-0.849370\pi\)
0.0503592 0.998731i \(-0.483963\pi\)
\(882\) 8.10178 + 3.20382i 0.272801 + 0.107878i
\(883\) −19.7615 + 34.2280i −0.665028 + 1.15186i 0.314249 + 0.949340i \(0.398247\pi\)
−0.979278 + 0.202522i \(0.935086\pi\)
\(884\) 24.2997 + 66.7630i 0.817289 + 2.24548i
\(885\) 0.00729457 + 0.614795i 0.000245204 + 0.0206661i
\(886\) 11.0816 9.29854i 0.372293 0.312391i
\(887\) 28.4361 23.8607i 0.954791 0.801165i −0.0253071 0.999680i \(-0.508056\pi\)
0.980098 + 0.198515i \(0.0636119\pi\)
\(888\) 10.8522 + 3.80470i 0.364178 + 0.127677i
\(889\) 27.0275 6.50478i 0.906475 0.218163i
\(890\) 0.611918i 0.0205115i
\(891\) −12.6955 6.54725i −0.425314 0.219341i
\(892\) 20.8152 + 12.0176i 0.696944 + 0.402381i
\(893\) 13.7309 + 37.7255i 0.459489 + 1.26243i
\(894\) −12.3094 + 2.32139i −0.411689 + 0.0776390i
\(895\) −2.63675 + 0.464930i −0.0881369 + 0.0155409i
\(896\) −12.4582 + 25.0224i −0.416199 + 0.835940i
\(897\) 18.1404 10.7624i 0.605692 0.359345i
\(898\) −0.295162 + 0.107430i −0.00984968 + 0.00358499i
\(899\) −2.94562 5.10196i −0.0982418 0.170160i
\(900\) 4.09242 26.9313i 0.136414 0.897710i
\(901\) 65.4046 + 37.7614i 2.17894 + 1.25801i
\(902\) −6.85694 + 2.49572i −0.228311 + 0.0830984i
\(903\) −0.855692 3.37870i −0.0284757 0.112436i
\(904\) 3.65363 3.06576i 0.121518 0.101966i
\(905\) 0.390375 1.07255i 0.0129765 0.0356527i
\(906\) −1.54545 + 0.583353i −0.0513441 + 0.0193806i
\(907\) −5.56403 + 31.5552i −0.184751 + 1.04777i 0.741525 + 0.670926i \(0.234103\pi\)
−0.926275 + 0.376847i \(0.877008\pi\)
\(908\) 6.66036 11.5361i 0.221032 0.382838i
\(909\) −28.1920 + 24.8192i −0.935068 + 0.823202i
\(910\) 0.983519 + 0.111499i 0.0326034 + 0.00369615i
\(911\) −17.5085 3.08722i −0.580082 0.102284i −0.124095 0.992270i \(-0.539603\pi\)
−0.455988 + 0.889986i \(0.650714\pi\)
\(912\) 22.5618 0.267697i 0.747097 0.00886433i
\(913\) 13.5328 + 16.1278i 0.447872 + 0.533753i
\(914\) 4.45469 12.2392i 0.147348 0.404835i
\(915\) 0.789014 + 0.276621i 0.0260840 + 0.00914482i
\(916\) −4.84988 + 5.77987i −0.160245 + 0.190972i
\(917\) −38.3331 4.34572i −1.26587 0.143508i
\(918\) −15.5086 + 6.27827i −0.511860 + 0.207214i
\(919\) 10.1037 + 17.5002i 0.333292 + 0.577279i 0.983155 0.182773i \(-0.0585072\pi\)
−0.649863 + 0.760051i \(0.725174\pi\)
\(920\) 0.653415 0.237823i 0.0215424 0.00784081i
\(921\) 2.67279 + 0.937058i 0.0880715 + 0.0308771i
\(922\) 2.90819 + 3.46585i 0.0957762 + 0.114142i
\(923\) 27.4334 + 9.98494i 0.902981 + 0.328658i
\(924\) 7.77452 10.7844i 0.255763 0.354780i
\(925\) 3.60643 20.4531i 0.118579 0.672493i
\(926\) 2.95287i 0.0970373i
\(927\) 0.199578 + 8.40916i 0.00655500 + 0.276193i
\(928\) −19.3607 −0.635545
\(929\) −5.15862 4.32860i −0.169249 0.142017i 0.554229 0.832364i \(-0.313013\pi\)
−0.723478 + 0.690348i \(0.757458\pi\)
\(930\) −0.0614483 0.162792i −0.00201497 0.00533815i
\(931\) 30.3876 + 1.55835i 0.995913 + 0.0510730i
\(932\) 17.2174 + 20.5189i 0.563974 + 0.672118i
\(933\) −13.0371 + 15.9167i −0.426815 + 0.521091i
\(934\) −5.40427 0.952918i −0.176833 0.0311804i
\(935\) 2.21809i 0.0725392i
\(936\) −23.8526 + 0.566105i −0.779648 + 0.0185037i
\(937\) −37.6538 21.7394i −1.23009 0.710196i −0.263045 0.964784i \(-0.584727\pi\)
−0.967050 + 0.254588i \(0.918060\pi\)
\(938\) −3.31011 + 3.14471i −0.108079 + 0.102678i
\(939\) −3.21254 + 0.0381169i −0.104837 + 0.00124390i
\(940\) 0.527870 + 2.99370i 0.0172172 + 0.0976438i
\(941\) 11.5099 + 4.18926i 0.375212 + 0.136566i 0.522741 0.852492i \(-0.324910\pi\)
−0.147529 + 0.989058i \(0.547132\pi\)
\(942\) −1.33494 + 3.80767i −0.0434946 + 0.124061i
\(943\) −26.5383 4.67942i −0.864206 0.152383i
\(944\) 5.90810 0.192292
\(945\) 0.191144 2.46809i 0.00621791 0.0802869i
\(946\) 0.500804 0.0162825
\(947\) −13.5396 2.38739i −0.439977 0.0775798i −0.0507283 0.998712i \(-0.516154\pi\)
−0.389249 + 0.921133i \(0.627265\pi\)
\(948\) 15.8462 2.98838i 0.514661 0.0970581i
\(949\) −40.3330 14.6800i −1.30926 0.476533i
\(950\) 1.55559 + 8.82217i 0.0504699 + 0.286229i
\(951\) 17.9154 31.8985i 0.580948 1.03438i
\(952\) −7.63048 31.7049i −0.247305 1.02756i
\(953\) −41.3778 23.8895i −1.34036 0.773857i −0.353499 0.935435i \(-0.615008\pi\)
−0.986860 + 0.161578i \(0.948342\pi\)
\(954\) −9.09017 + 8.00267i −0.294305 + 0.259096i
\(955\) 3.05132i 0.0987385i
\(956\) 41.0622 + 7.24037i 1.32805 + 0.234170i
\(957\) 11.8838 + 1.95035i 0.384148 + 0.0630459i
\(958\) −0.531138 0.632986i −0.0171603 0.0204508i
\(959\) 7.49196 15.0477i 0.241928 0.485915i
\(960\) 1.28040 + 0.210138i 0.0413248 + 0.00678217i
\(961\) 22.3620 + 18.7639i 0.721355 + 0.605289i
\(962\) −8.68643 −0.280062
\(963\) −8.61059 22.0174i −0.277472 0.709499i
\(964\) 1.43997i 0.0463783i
\(965\) −0.383178 + 2.17311i −0.0123349 + 0.0699550i
\(966\) −4.21636 + 1.89596i −0.135659 + 0.0610015i
\(967\) 42.4888 + 15.4647i 1.36635 + 0.497310i 0.918011 0.396555i \(-0.129795\pi\)
0.448336 + 0.893865i \(0.352017\pi\)
\(968\) −8.65731 10.3174i −0.278257 0.331613i
\(969\) −44.3140 + 38.0889i −1.42357 + 1.22359i
\(970\) 0.336228 0.122377i 0.0107956 0.00392929i
\(971\) −7.07273 12.2503i −0.226975 0.393132i 0.729935 0.683516i \(-0.239550\pi\)
−0.956910 + 0.290384i \(0.906217\pi\)
\(972\) 1.68933 + 28.4438i 0.0541854 + 0.912334i
\(973\) −32.7282 24.1892i −1.04922 0.775469i
\(974\) 3.81890 4.55119i 0.122366 0.145830i
\(975\) 7.98537 + 42.3432i 0.255736 + 1.35607i
\(976\) 2.74787 7.54972i 0.0879573 0.241661i
\(977\) 23.6226 + 28.1523i 0.755753 + 0.900672i 0.997572 0.0696497i \(-0.0221882\pi\)
−0.241818 + 0.970322i \(0.577744\pi\)
\(978\) 6.74517 12.0098i 0.215687 0.384032i
\(979\) 12.8033 + 2.25756i 0.409195 + 0.0721521i
\(980\) 2.24549 + 0.515758i 0.0717295 + 0.0164753i
\(981\) 40.7651 + 32.5895i 1.30153 + 1.04050i
\(982\) −5.52879 + 9.57614i −0.176431 + 0.305587i
\(983\) 1.70439 9.66609i 0.0543617 0.308300i −0.945488 0.325658i \(-0.894414\pi\)
0.999849 + 0.0173575i \(0.00552533\pi\)
\(984\) 23.5816 + 19.3152i 0.751754 + 0.615746i
\(985\) 0.836600 2.29854i 0.0266563 0.0732375i
\(986\) 10.8056 9.06697i 0.344120 0.288751i
\(987\) −10.3910 41.0290i −0.330750 1.30597i
\(988\) −37.3913 + 13.6093i −1.18957 + 0.432970i
\(989\) 1.60168 + 0.924730i 0.0509305 + 0.0294047i
\(990\) 0.337036 + 0.113690i 0.0107117 + 0.00361330i
\(991\) 15.3744 + 26.6292i 0.488384 + 0.845905i 0.999911 0.0133618i \(-0.00425333\pi\)
−0.511527 + 0.859267i \(0.670920\pi\)
\(992\) −5.58487 + 2.03273i −0.177320 + 0.0645392i
\(993\) −37.6350 21.1373i −1.19431 0.670770i
\(994\) −5.72795 2.85184i −0.181680 0.0904548i
\(995\) 1.24834 0.220115i 0.0395749 0.00697812i
\(996\) 13.8945 39.6315i 0.440263 1.25577i
\(997\) −14.3109 39.3189i −0.453231 1.24524i −0.930437 0.366451i \(-0.880573\pi\)
0.477206 0.878791i \(-0.341650\pi\)
\(998\) 7.65940 + 4.42216i 0.242454 + 0.139981i
\(999\) 0.773077 + 21.7105i 0.0244591 + 0.686889i
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 189.2.ba.a.38.10 yes 132
3.2 odd 2 567.2.ba.a.521.13 132
7.5 odd 6 189.2.bd.a.173.13 yes 132
21.5 even 6 567.2.bd.a.278.10 132
27.5 odd 18 189.2.bd.a.59.13 yes 132
27.22 even 9 567.2.bd.a.206.10 132
189.5 even 18 inner 189.2.ba.a.5.10 132
189.103 odd 18 567.2.ba.a.530.13 132
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.ba.a.5.10 132 189.5 even 18 inner
189.2.ba.a.38.10 yes 132 1.1 even 1 trivial
189.2.bd.a.59.13 yes 132 27.5 odd 18
189.2.bd.a.173.13 yes 132 7.5 odd 6
567.2.ba.a.521.13 132 3.2 odd 2
567.2.ba.a.530.13 132 189.103 odd 18
567.2.bd.a.206.10 132 27.22 even 9
567.2.bd.a.278.10 132 21.5 even 6