Properties

Label 512.2.o.a.157.43
Level $512$
Weight $2$
Character 512.157
Analytic conductor $4.088$
Analytic rank $0$
Dimension $4032$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [512,2,Mod(5,512)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(512, base_ring=CyclotomicField(128))
 
chi = DirichletCharacter(H, H._module([0, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("512.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 512 = 2^{9} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 512.o (of order \(128\), degree \(64\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.08834058349\)
Analytic rank: \(0\)
Dimension: \(4032\)
Relative dimension: \(63\) over \(\Q(\zeta_{128})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{128}]$

Embedding invariants

Embedding label 157.43
Character \(\chi\) \(=\) 512.157
Dual form 512.2.o.a.437.43

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.706751 + 1.22495i) q^{2} +(-0.275229 + 0.106167i) q^{3} +(-1.00101 + 1.73147i) q^{4} +(-1.87748 + 2.40577i) q^{5} +(-0.324568 - 0.262108i) q^{6} +(1.41590 - 3.95718i) q^{7} +(-2.82843 - 0.00246531i) q^{8} +(-2.15837 + 1.95624i) q^{9} +O(q^{10})\) \(q+(0.706751 + 1.22495i) q^{2} +(-0.275229 + 0.106167i) q^{3} +(-1.00101 + 1.73147i) q^{4} +(-1.87748 + 2.40577i) q^{5} +(-0.324568 - 0.262108i) q^{6} +(1.41590 - 3.95718i) q^{7} +(-2.82843 - 0.00246531i) q^{8} +(-2.15837 + 1.95624i) q^{9} +(-4.27385 - 0.599540i) q^{10} +(0.720027 + 3.20643i) q^{11} +(0.0916800 - 0.582825i) q^{12} +(-2.17801 + 0.602737i) q^{13} +(5.84804 - 1.06233i) q^{14} +(0.261322 - 0.861463i) q^{15} +(-1.99597 - 3.46642i) q^{16} +(-1.57764 + 0.478572i) q^{17} +(-3.92172 - 1.26133i) q^{18} +(-0.939315 - 1.86610i) q^{19} +(-2.28614 - 5.65898i) q^{20} +(0.0304268 + 1.23945i) q^{21} +(-3.41883 + 3.14814i) q^{22} +(-7.73519 + 1.14741i) q^{23} +(0.778726 - 0.299608i) q^{24} +(-1.04788 - 4.18338i) q^{25} +(-2.27763 - 2.24197i) q^{26} +(0.784258 - 1.55805i) q^{27} +(5.43441 + 6.41275i) q^{28} +(0.547263 + 3.15396i) q^{29} +(1.23994 - 0.288733i) q^{30} +(3.41423 - 5.10976i) q^{31} +(2.83554 - 4.89487i) q^{32} +(-0.538590 - 0.806057i) q^{33} +(-1.70123 - 1.59430i) q^{34} +(6.86172 + 10.8358i) q^{35} +(-1.22662 - 5.69536i) q^{36} +(1.19354 - 1.02956i) q^{37} +(1.62202 - 2.46948i) q^{38} +(0.535460 - 0.397124i) q^{39} +(5.31624 - 6.79990i) q^{40} +(-0.0483624 + 0.193074i) q^{41} +(-1.49676 + 0.913255i) q^{42} +(3.89322 + 8.78297i) q^{43} +(-6.27258 - 1.96295i) q^{44} +(-0.653946 - 8.86533i) q^{45} +(-6.87237 - 8.66430i) q^{46} +(6.86612 + 8.36639i) q^{47} +(0.917371 + 0.742152i) q^{48} +(-8.24341 - 6.76519i) q^{49} +(4.38385 - 4.24022i) q^{50} +(0.383404 - 0.299211i) q^{51} +(1.13658 - 4.37450i) q^{52} +(-0.832131 + 4.79569i) q^{53} +(2.46281 - 0.140478i) q^{54} +(-9.06574 - 4.28778i) q^{55} +(-4.01453 + 11.1891i) q^{56} +(0.456646 + 0.413880i) q^{57} +(-3.47666 + 2.89943i) q^{58} +(-1.54913 + 5.59784i) q^{59} +(1.23001 + 1.31480i) q^{60} +(0.0925097 + 0.00227098i) q^{61} +(8.67222 + 0.570938i) q^{62} +(4.68513 + 11.3109i) q^{63} +(7.99999 + 0.0139459i) q^{64} +(2.63912 - 6.37141i) q^{65} +(0.606731 - 1.22943i) q^{66} +(-10.5475 + 10.0421i) q^{67} +(0.750596 - 3.21069i) q^{68} +(2.00713 - 1.13703i) q^{69} +(-8.42384 + 16.0635i) q^{70} +(-4.99064 + 0.245174i) q^{71} +(6.10962 - 5.52775i) q^{72} +(5.33228 + 14.9027i) q^{73} +(2.10469 + 0.734390i) q^{74} +(0.732547 + 1.04014i) q^{75} +(4.17135 + 0.241581i) q^{76} +(13.7079 + 1.69071i) q^{77} +(0.864895 + 0.375244i) q^{78} +(5.62363 - 0.553880i) q^{79} +(12.0868 + 1.70629i) q^{80} +(0.806129 - 8.18477i) q^{81} +(-0.270686 + 0.0772134i) q^{82} +(3.87851 + 3.34563i) q^{83} +(-2.17653 - 1.18802i) q^{84} +(1.81065 - 4.69394i) q^{85} +(-8.00716 + 10.9764i) q^{86} +(-0.485470 - 0.809958i) q^{87} +(-2.02864 - 9.07091i) q^{88} +(-15.6097 - 2.31549i) q^{89} +(10.3974 - 7.06663i) q^{90} +(-0.698711 + 9.47220i) q^{91} +(5.75628 - 14.5418i) q^{92} +(-0.397205 + 1.76883i) q^{93} +(-5.39578 + 14.3236i) q^{94} +(6.25294 + 1.24379i) q^{95} +(-0.260747 + 1.64825i) q^{96} +(-6.26794 + 1.24677i) q^{97} +(2.46099 - 14.8791i) q^{98} +(-7.82661 - 5.51212i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4032 q - 64 q^{2} - 64 q^{3} - 64 q^{4} - 64 q^{5} - 64 q^{6} - 64 q^{7} - 64 q^{8} - 64 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4032 q - 64 q^{2} - 64 q^{3} - 64 q^{4} - 64 q^{5} - 64 q^{6} - 64 q^{7} - 64 q^{8} - 64 q^{9} - 64 q^{10} - 64 q^{11} - 64 q^{12} - 64 q^{13} - 64 q^{14} - 64 q^{15} - 64 q^{16} - 64 q^{17} - 64 q^{18} - 64 q^{19} - 64 q^{20} - 64 q^{21} - 64 q^{22} - 64 q^{23} - 64 q^{24} - 64 q^{25} - 64 q^{26} - 64 q^{27} - 64 q^{28} - 64 q^{29} - 64 q^{30} - 64 q^{31} - 64 q^{32} - 64 q^{33} - 64 q^{34} - 64 q^{35} - 64 q^{36} - 64 q^{37} - 64 q^{38} - 64 q^{39} - 64 q^{40} - 64 q^{41} - 64 q^{42} - 64 q^{43} - 64 q^{44} - 64 q^{45} - 64 q^{46} - 64 q^{47} - 64 q^{48} - 64 q^{49} - 64 q^{50} - 64 q^{51} - 64 q^{52} - 64 q^{53} - 64 q^{54} - 64 q^{55} - 64 q^{56} - 64 q^{57} - 64 q^{58} - 64 q^{59} - 64 q^{60} - 64 q^{61} - 64 q^{62} - 64 q^{63} - 64 q^{64} - 64 q^{65} - 64 q^{66} - 64 q^{67} - 64 q^{68} - 64 q^{69} - 64 q^{70} - 64 q^{71} - 64 q^{72} - 64 q^{73} - 64 q^{74} - 64 q^{75} - 64 q^{76} - 64 q^{77} - 64 q^{78} - 64 q^{79} - 64 q^{80} - 64 q^{81} - 64 q^{82} - 64 q^{83} - 64 q^{84} - 64 q^{85} - 64 q^{86} - 64 q^{87} - 64 q^{88} - 64 q^{89} - 64 q^{90} - 64 q^{91} - 64 q^{92} - 64 q^{93} - 64 q^{94} - 64 q^{95} - 64 q^{96} - 64 q^{97} - 64 q^{98} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/512\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(511\)
\(\chi(n)\) \(e\left(\frac{91}{128}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.706751 + 1.22495i 0.499748 + 0.866171i
\(3\) −0.275229 + 0.106167i −0.158903 + 0.0612958i −0.438039 0.898956i \(-0.644327\pi\)
0.279136 + 0.960252i \(0.409952\pi\)
\(4\) −1.00101 + 1.73147i −0.500503 + 0.865735i
\(5\) −1.87748 + 2.40577i −0.839634 + 1.07589i 0.156469 + 0.987683i \(0.449989\pi\)
−0.996102 + 0.0882080i \(0.971886\pi\)
\(6\) −0.324568 0.262108i −0.132504 0.107005i
\(7\) 1.41590 3.95718i 0.535160 1.49567i −0.304474 0.952521i \(-0.598481\pi\)
0.839634 0.543152i \(-0.182769\pi\)
\(8\) −2.82843 0.00246531i −1.00000 0.000871620i
\(9\) −2.15837 + 1.95624i −0.719458 + 0.652079i
\(10\) −4.27385 0.599540i −1.35151 0.189591i
\(11\) 0.720027 + 3.20643i 0.217096 + 0.966774i 0.956093 + 0.293064i \(0.0946750\pi\)
−0.738996 + 0.673709i \(0.764700\pi\)
\(12\) 0.0916800 0.582825i 0.0264657 0.168247i
\(13\) −2.17801 + 0.602737i −0.604072 + 0.167169i −0.555313 0.831641i \(-0.687402\pi\)
−0.0487587 + 0.998811i \(0.515527\pi\)
\(14\) 5.84804 1.06233i 1.56295 0.283920i
\(15\) 0.261322 0.861463i 0.0674730 0.222429i
\(16\) −1.99597 3.46642i −0.498993 0.866606i
\(17\) −1.57764 + 0.478572i −0.382634 + 0.116071i −0.475741 0.879585i \(-0.657820\pi\)
0.0931070 + 0.995656i \(0.470320\pi\)
\(18\) −3.92172 1.26133i −0.924359 0.297298i
\(19\) −0.939315 1.86610i −0.215494 0.428113i 0.759450 0.650566i \(-0.225468\pi\)
−0.974943 + 0.222454i \(0.928593\pi\)
\(20\) −2.28614 5.65898i −0.511197 1.26539i
\(21\) 0.0304268 + 1.23945i 0.00663968 + 0.270471i
\(22\) −3.41883 + 3.14814i −0.728897 + 0.671186i
\(23\) −7.73519 + 1.14741i −1.61290 + 0.239251i −0.891418 0.453182i \(-0.850289\pi\)
−0.721482 + 0.692433i \(0.756539\pi\)
\(24\) 0.778726 0.299608i 0.158957 0.0611573i
\(25\) −1.04788 4.18338i −0.209577 0.836677i
\(26\) −2.27763 2.24197i −0.446681 0.439687i
\(27\) 0.784258 1.55805i 0.150931 0.299848i
\(28\) 5.43441 + 6.41275i 1.02701 + 1.21190i
\(29\) 0.547263 + 3.15396i 0.101624 + 0.585675i 0.991566 + 0.129601i \(0.0413697\pi\)
−0.889942 + 0.456074i \(0.849255\pi\)
\(30\) 1.23994 0.288733i 0.226381 0.0527153i
\(31\) 3.41423 5.10976i 0.613215 0.917740i −0.386776 0.922174i \(-0.626411\pi\)
0.999990 + 0.00443342i \(0.00141121\pi\)
\(32\) 2.83554 4.89487i 0.501258 0.865298i
\(33\) −0.538590 0.806057i −0.0937565 0.140317i
\(34\) −1.70123 1.59430i −0.291758 0.273420i
\(35\) 6.86172 + 10.8358i 1.15984 + 1.83159i
\(36\) −1.22662 5.69536i −0.204436 0.949227i
\(37\) 1.19354 1.02956i 0.196217 0.169258i −0.549558 0.835455i \(-0.685204\pi\)
0.745776 + 0.666197i \(0.232079\pi\)
\(38\) 1.62202 2.46948i 0.263126 0.400603i
\(39\) 0.535460 0.397124i 0.0857423 0.0635908i
\(40\) 5.31624 6.79990i 0.840571 1.07516i
\(41\) −0.0483624 + 0.193074i −0.00755294 + 0.0301530i −0.973691 0.227874i \(-0.926822\pi\)
0.966138 + 0.258027i \(0.0830725\pi\)
\(42\) −1.49676 + 0.913255i −0.230956 + 0.140918i
\(43\) 3.89322 + 8.78297i 0.593711 + 1.33939i 0.919180 + 0.393837i \(0.128853\pi\)
−0.325469 + 0.945553i \(0.605522\pi\)
\(44\) −6.27258 1.96295i −0.945627 0.295925i
\(45\) −0.653946 8.86533i −0.0974845 1.32157i
\(46\) −6.87237 8.66430i −1.01328 1.27748i
\(47\) 6.86612 + 8.36639i 1.00153 + 1.22036i 0.975340 + 0.220706i \(0.0708363\pi\)
0.0261861 + 0.999657i \(0.491664\pi\)
\(48\) 0.917371 + 0.742152i 0.132411 + 0.107120i
\(49\) −8.24341 6.76519i −1.17763 0.966456i
\(50\) 4.38385 4.24022i 0.619969 0.599657i
\(51\) 0.383404 0.299211i 0.0536872 0.0418979i
\(52\) 1.13658 4.37450i 0.157616 0.606634i
\(53\) −0.832131 + 4.79569i −0.114302 + 0.658739i 0.871444 + 0.490496i \(0.163184\pi\)
−0.985746 + 0.168243i \(0.946191\pi\)
\(54\) 2.46281 0.140478i 0.335146 0.0191167i
\(55\) −9.06574 4.28778i −1.22242 0.578164i
\(56\) −4.01453 + 11.1891i −0.536464 + 1.49521i
\(57\) 0.456646 + 0.413880i 0.0604842 + 0.0548197i
\(58\) −3.47666 + 2.89943i −0.456508 + 0.380714i
\(59\) −1.54913 + 5.59784i −0.201679 + 0.728776i 0.791397 + 0.611303i \(0.209354\pi\)
−0.993076 + 0.117473i \(0.962521\pi\)
\(60\) 1.23001 + 1.31480i 0.158794 + 0.169740i
\(61\) 0.0925097 + 0.00227098i 0.0118446 + 0.000290770i 0.0304631 0.999536i \(-0.490302\pi\)
−0.0186185 + 0.999827i \(0.505927\pi\)
\(62\) 8.67222 + 0.570938i 1.10137 + 0.0725092i
\(63\) 4.68513 + 11.3109i 0.590271 + 1.42504i
\(64\) 7.99999 + 0.0139459i 0.999998 + 0.00174324i
\(65\) 2.63912 6.37141i 0.327343 0.790276i
\(66\) 0.606731 1.22943i 0.0746834 0.151332i
\(67\) −10.5475 + 10.0421i −1.28858 + 1.22683i −0.329352 + 0.944207i \(0.606830\pi\)
−0.959230 + 0.282625i \(0.908795\pi\)
\(68\) 0.750596 3.21069i 0.0910231 0.389354i
\(69\) 2.00713 1.13703i 0.241630 0.136882i
\(70\) −8.42384 + 16.0635i −1.00684 + 1.91996i
\(71\) −4.99064 + 0.245174i −0.592280 + 0.0290968i −0.343001 0.939335i \(-0.611444\pi\)
−0.249279 + 0.968432i \(0.580194\pi\)
\(72\) 6.10962 5.52775i 0.720026 0.651451i
\(73\) 5.33228 + 14.9027i 0.624097 + 1.74423i 0.666897 + 0.745150i \(0.267622\pi\)
−0.0428009 + 0.999084i \(0.513628\pi\)
\(74\) 2.10469 + 0.734390i 0.244666 + 0.0853711i
\(75\) 0.732547 + 1.04014i 0.0845872 + 0.120105i
\(76\) 4.17135 + 0.241581i 0.478487 + 0.0277113i
\(77\) 13.7079 + 1.69071i 1.56216 + 0.192674i
\(78\) 0.864895 + 0.375244i 0.0979301 + 0.0424880i
\(79\) 5.62363 0.553880i 0.632708 0.0623163i 0.223421 0.974722i \(-0.428277\pi\)
0.409287 + 0.912406i \(0.365777\pi\)
\(80\) 12.0868 + 1.70629i 1.35134 + 0.190769i
\(81\) 0.806129 8.18477i 0.0895699 0.909419i
\(82\) −0.270686 + 0.0772134i −0.0298922 + 0.00852679i
\(83\) 3.87851 + 3.34563i 0.425722 + 0.367230i 0.839695 0.543059i \(-0.182734\pi\)
−0.413972 + 0.910289i \(0.635859\pi\)
\(84\) −2.17653 1.18802i −0.237479 0.129623i
\(85\) 1.81065 4.69394i 0.196393 0.509130i
\(86\) −8.00716 + 10.9764i −0.863434 + 1.18361i
\(87\) −0.485470 0.809958i −0.0520478 0.0868366i
\(88\) −2.02864 9.07091i −0.216254 0.966963i
\(89\) −15.6097 2.31549i −1.65463 0.245441i −0.746882 0.664957i \(-0.768450\pi\)
−0.907748 + 0.419516i \(0.862200\pi\)
\(90\) 10.3974 7.06663i 1.09598 0.744888i
\(91\) −0.698711 + 9.47220i −0.0732448 + 0.992956i
\(92\) 5.75628 14.5418i 0.600133 1.51609i
\(93\) −0.397205 + 1.76883i −0.0411882 + 0.183420i
\(94\) −5.39578 + 14.3236i −0.556532 + 1.47737i
\(95\) 6.25294 + 1.24379i 0.641538 + 0.127610i
\(96\) −0.260747 + 1.64825i −0.0266124 + 0.168224i
\(97\) −6.26794 + 1.24677i −0.636413 + 0.126590i −0.502744 0.864436i \(-0.667676\pi\)
−0.133669 + 0.991026i \(0.542676\pi\)
\(98\) 2.46099 14.8791i 0.248597 1.50301i
\(99\) −7.82661 5.51212i −0.786604 0.553989i
\(100\) 8.29234 + 2.37322i 0.829234 + 0.237322i
\(101\) 17.8400 5.89354i 1.77515 0.586429i 0.776121 0.630584i \(-0.217185\pi\)
0.999025 + 0.0441557i \(0.0140598\pi\)
\(102\) 0.637490 + 0.258183i 0.0631209 + 0.0255639i
\(103\) 4.03990 + 2.42142i 0.398063 + 0.238590i 0.699102 0.715022i \(-0.253583\pi\)
−0.301039 + 0.953612i \(0.597333\pi\)
\(104\) 6.16183 1.69943i 0.604217 0.166643i
\(105\) −3.03896 2.25384i −0.296572 0.219953i
\(106\) −6.46259 + 2.37004i −0.627702 + 0.230199i
\(107\) −4.06944 3.87443i −0.393408 0.374555i 0.466918 0.884301i \(-0.345364\pi\)
−0.860325 + 0.509746i \(0.829739\pi\)
\(108\) 1.91267 + 2.91754i 0.184047 + 0.280740i
\(109\) 3.05279 9.24094i 0.292405 0.885121i −0.693883 0.720087i \(-0.744102\pi\)
0.986288 0.165034i \(-0.0527733\pi\)
\(110\) −1.15491 14.1355i −0.110116 1.34776i
\(111\) −0.219192 + 0.410079i −0.0208048 + 0.0389230i
\(112\) −16.5434 + 2.99031i −1.56320 + 0.282558i
\(113\) −11.4152 + 6.10157i −1.07386 + 0.573988i −0.910892 0.412644i \(-0.864605\pi\)
−0.162963 + 0.986632i \(0.552105\pi\)
\(114\) −0.184247 + 0.851878i −0.0172563 + 0.0797857i
\(115\) 11.7623 20.7633i 1.09684 1.93619i
\(116\) −6.00879 2.20956i −0.557902 0.205152i
\(117\) 3.52187 5.56164i 0.325597 0.514173i
\(118\) −7.95192 + 2.05867i −0.732033 + 0.189516i
\(119\) −0.339988 + 6.92062i −0.0311667 + 0.634412i
\(120\) −0.741253 + 2.43594i −0.0676669 + 0.222370i
\(121\) 0.181156 0.0856804i 0.0164687 0.00778913i
\(122\) 0.0625995 + 0.114925i 0.00566749 + 0.0104048i
\(123\) −0.00718740 0.0582739i −0.000648066 0.00525438i
\(124\) 5.42973 + 11.0265i 0.487604 + 0.990213i
\(125\) −1.91767 0.850044i −0.171522 0.0760303i
\(126\) −10.5441 + 13.7330i −0.939341 + 1.22344i
\(127\) 4.71394 4.71394i 0.418295 0.418295i −0.466321 0.884616i \(-0.654421\pi\)
0.884616 + 0.466321i \(0.154421\pi\)
\(128\) 5.63692 + 9.80944i 0.498238 + 0.867041i
\(129\) −2.00399 2.00399i −0.176442 0.176442i
\(130\) 9.66986 1.27020i 0.848103 0.111404i
\(131\) 0.000687403 0.00155076i 6.00587e−5 0.000135490i −0.914180 0.405309i \(-0.867164\pi\)
0.914240 + 0.405174i \(0.132789\pi\)
\(132\) 1.93480 0.125684i 0.168402 0.0109394i
\(133\) −8.71447 + 1.07483i −0.755640 + 0.0931993i
\(134\) −19.7555 5.82293i −1.70661 0.503025i
\(135\) 2.27588 + 4.81195i 0.195877 + 0.414147i
\(136\) 4.46342 1.34972i 0.382735 0.115737i
\(137\) 19.6281 + 0.964265i 1.67694 + 0.0823827i 0.865132 0.501544i \(-0.167234\pi\)
0.811807 + 0.583927i \(0.198484\pi\)
\(138\) 2.81134 + 1.65504i 0.239317 + 0.140886i
\(139\) 15.4341 + 9.77356i 1.30911 + 0.828983i 0.992813 0.119678i \(-0.0381863\pi\)
0.316294 + 0.948661i \(0.397561\pi\)
\(140\) −25.6306 + 1.03411i −2.16618 + 0.0873986i
\(141\) −2.77799 1.57371i −0.233949 0.132531i
\(142\) −3.82746 5.94001i −0.321194 0.498474i
\(143\) −3.50086 6.54964i −0.292756 0.547709i
\(144\) 11.0892 + 3.57724i 0.924100 + 0.298104i
\(145\) −8.61515 4.60489i −0.715449 0.382416i
\(146\) −14.4865 + 17.0643i −1.19891 + 1.41225i
\(147\) 2.98707 + 0.986794i 0.246369 + 0.0813894i
\(148\) 0.587903 + 3.09718i 0.0483253 + 0.254586i
\(149\) 4.18001 4.39040i 0.342440 0.359676i −0.530344 0.847783i \(-0.677937\pi\)
0.872784 + 0.488107i \(0.162312\pi\)
\(150\) −0.756388 + 1.63245i −0.0617588 + 0.133289i
\(151\) 2.49636 3.36595i 0.203151 0.273917i −0.689869 0.723934i \(-0.742332\pi\)
0.893020 + 0.450017i \(0.148582\pi\)
\(152\) 2.65218 + 5.28044i 0.215121 + 0.428300i
\(153\) 2.46894 4.11918i 0.199602 0.333016i
\(154\) 7.61703 + 17.9864i 0.613798 + 1.44938i
\(155\) 5.88274 + 17.8073i 0.472513 + 1.43032i
\(156\) 0.151610 + 1.32466i 0.0121385 + 0.106057i
\(157\) 5.31581 7.54787i 0.424248 0.602386i −0.547960 0.836504i \(-0.684595\pi\)
0.972208 + 0.234119i \(0.0752205\pi\)
\(158\) 4.65298 + 6.49722i 0.370171 + 0.516891i
\(159\) −0.280120 1.40826i −0.0222149 0.111682i
\(160\) 6.45223 + 16.0116i 0.510094 + 1.26583i
\(161\) −6.41177 + 32.2342i −0.505319 + 2.54041i
\(162\) 10.5957 4.79712i 0.832474 0.376898i
\(163\) 6.78105 + 1.52273i 0.531132 + 0.119270i 0.476396 0.879231i \(-0.341943\pi\)
0.0547368 + 0.998501i \(0.482568\pi\)
\(164\) −0.285890 0.277006i −0.0223243 0.0216305i
\(165\) 2.95038 + 0.217633i 0.229686 + 0.0169427i
\(166\) −1.35709 + 7.11551i −0.105330 + 0.552271i
\(167\) 0.674450 4.54677i 0.0521905 0.351840i −0.947312 0.320311i \(-0.896213\pi\)
0.999503 0.0315284i \(-0.0100375\pi\)
\(168\) −0.0830044 3.50577i −0.00640393 0.270476i
\(169\) −6.77003 + 4.05780i −0.520772 + 0.312138i
\(170\) 7.02953 1.09949i 0.539140 0.0843269i
\(171\) 5.67792 + 2.19022i 0.434202 + 0.167490i
\(172\) −19.1046 2.05081i −1.45671 0.156373i
\(173\) −5.53548 + 6.41716i −0.420855 + 0.487887i −0.927265 0.374405i \(-0.877847\pi\)
0.506411 + 0.862292i \(0.330972\pi\)
\(174\) 0.649052 1.16712i 0.0492045 0.0884788i
\(175\) −18.0381 1.77660i −1.36355 0.134298i
\(176\) 9.67768 8.89586i 0.729482 0.670550i
\(177\) −0.167943 1.70515i −0.0126234 0.128167i
\(178\) −8.19585 20.7576i −0.614305 1.55585i
\(179\) 2.90292 23.5363i 0.216974 1.75918i −0.351225 0.936291i \(-0.614235\pi\)
0.568199 0.822891i \(-0.307640\pi\)
\(180\) 16.0047 + 7.74196i 1.19292 + 0.577052i
\(181\) −19.9306 + 14.0367i −1.48143 + 1.04334i −0.496960 + 0.867773i \(0.665551\pi\)
−0.984468 + 0.175566i \(0.943824\pi\)
\(182\) −12.0968 + 5.83860i −0.896673 + 0.432786i
\(183\) −0.0257024 + 0.00919648i −0.00189998 + 0.000679823i
\(184\) 21.8813 3.22629i 1.61311 0.237845i
\(185\) 0.236023 + 4.80435i 0.0173527 + 0.353223i
\(186\) −2.44746 + 0.763569i −0.179456 + 0.0559876i
\(187\) −2.67045 4.71401i −0.195283 0.344722i
\(188\) −21.3592 + 3.51367i −1.55778 + 0.256260i
\(189\) −5.05506 5.30950i −0.367702 0.386209i
\(190\) 2.89569 + 8.53859i 0.210076 + 0.619454i
\(191\) −13.9326 5.77107i −1.00813 0.417580i −0.183356 0.983047i \(-0.558696\pi\)
−0.824771 + 0.565467i \(0.808696\pi\)
\(192\) −2.20331 + 0.845500i −0.159010 + 0.0610187i
\(193\) −7.11849 + 2.94857i −0.512400 + 0.212243i −0.623875 0.781524i \(-0.714443\pi\)
0.111475 + 0.993767i \(0.464443\pi\)
\(194\) −5.95711 6.79676i −0.427695 0.487979i
\(195\) −0.0499266 + 2.03378i −0.00357532 + 0.145642i
\(196\) 19.9654 7.50122i 1.42610 0.535801i
\(197\) −14.6427 4.05219i −1.04325 0.288706i −0.297353 0.954768i \(-0.596104\pi\)
−0.745897 + 0.666061i \(0.767979\pi\)
\(198\) 1.22061 13.4829i 0.0867450 0.958189i
\(199\) 14.4437 15.9361i 1.02388 1.12968i 0.0323972 0.999475i \(-0.489686\pi\)
0.991487 0.130207i \(-0.0415642\pi\)
\(200\) 2.95355 + 11.8350i 0.208847 + 0.836859i
\(201\) 1.83684 3.88367i 0.129560 0.273933i
\(202\) 19.8277 + 17.6878i 1.39507 + 1.24451i
\(203\) 13.2556 + 2.30007i 0.930363 + 0.161433i
\(204\) 0.134285 + 0.963364i 0.00940186 + 0.0674490i
\(205\) −0.373690 0.478840i −0.0260997 0.0334436i
\(206\) −0.110920 + 6.66002i −0.00772813 + 0.464026i
\(207\) 14.4508 17.6084i 1.00440 1.22387i
\(208\) 6.43659 + 6.34686i 0.446297 + 0.440076i
\(209\) 5.30718 4.35549i 0.367105 0.301275i
\(210\) 0.613061 5.31548i 0.0423052 0.366803i
\(211\) −18.4598 + 1.36168i −1.27082 + 0.0937416i −0.692112 0.721790i \(-0.743320\pi\)
−0.578712 + 0.815532i \(0.696445\pi\)
\(212\) −7.47062 6.24133i −0.513085 0.428656i
\(213\) 1.34754 0.597322i 0.0923318 0.0409279i
\(214\) 1.86990 7.72312i 0.127824 0.527941i
\(215\) −28.4392 7.12365i −1.93954 0.485829i
\(216\) −2.22206 + 4.40491i −0.151192 + 0.299716i
\(217\) −15.3860 20.7457i −1.04447 1.40831i
\(218\) 13.4773 2.79152i 0.912795 0.189066i
\(219\) −3.04978 3.53555i −0.206085 0.238910i
\(220\) 16.4990 11.4050i 1.11236 0.768922i
\(221\) 3.14767 1.99324i 0.211735 0.134080i
\(222\) −0.657241 + 0.0213247i −0.0441111 + 0.00143122i
\(223\) 1.29166 0.863060i 0.0864960 0.0577948i −0.511570 0.859241i \(-0.670936\pi\)
0.598066 + 0.801447i \(0.295936\pi\)
\(224\) −15.3550 18.1514i −1.02595 1.21279i
\(225\) 10.4454 + 6.97940i 0.696361 + 0.465293i
\(226\) −15.5419 9.67081i −1.03383 0.643293i
\(227\) 7.30163 1.26695i 0.484626 0.0840906i 0.0766021 0.997062i \(-0.475593\pi\)
0.408024 + 0.912971i \(0.366218\pi\)
\(228\) −1.17372 + 0.376372i −0.0777318 + 0.0249258i
\(229\) 3.78608 + 1.90575i 0.250191 + 0.125936i 0.570276 0.821453i \(-0.306836\pi\)
−0.320085 + 0.947389i \(0.603711\pi\)
\(230\) 33.7470 0.266293i 2.22521 0.0175588i
\(231\) −3.95230 + 0.990000i −0.260042 + 0.0651372i
\(232\) −1.54012 8.92208i −0.101114 0.585763i
\(233\) −1.50521 10.1473i −0.0986097 0.664773i −0.980964 0.194188i \(-0.937793\pi\)
0.882355 0.470585i \(-0.155957\pi\)
\(234\) 9.30181 + 0.383421i 0.608078 + 0.0250650i
\(235\) −33.0186 + 0.810560i −2.15389 + 0.0528751i
\(236\) −8.14179 8.28574i −0.529986 0.539356i
\(237\) −1.48898 + 0.749491i −0.0967198 + 0.0486846i
\(238\) −8.71770 + 4.47469i −0.565085 + 0.290051i
\(239\) 2.51072 + 8.27674i 0.162405 + 0.535378i 0.999939 0.0110070i \(-0.00350369\pi\)
−0.837534 + 0.546385i \(0.816004\pi\)
\(240\) −3.50779 + 0.813604i −0.226427 + 0.0525179i
\(241\) 14.5460 + 4.41247i 0.936989 + 0.284233i 0.721611 0.692298i \(-0.243402\pi\)
0.215378 + 0.976531i \(0.430902\pi\)
\(242\) 0.232986 + 0.161352i 0.0149769 + 0.0103721i
\(243\) 2.04277 + 7.38162i 0.131044 + 0.473531i
\(244\) −0.0965349 + 0.157904i −0.00618001 + 0.0101088i
\(245\) 31.7523 7.13022i 2.02858 0.455533i
\(246\) 0.0663029 0.0499894i 0.00422732 0.00318720i
\(247\) 3.17061 + 3.49823i 0.201741 + 0.222587i
\(248\) −9.66951 + 14.4442i −0.614014 + 0.917206i
\(249\) −1.42268 0.509041i −0.0901584 0.0322592i
\(250\) −0.314052 2.94982i −0.0198624 0.186563i
\(251\) −11.6067 9.05795i −0.732608 0.571733i 0.178481 0.983943i \(-0.442882\pi\)
−0.911088 + 0.412211i \(0.864757\pi\)
\(252\) −24.2743 3.21013i −1.52914 0.202219i
\(253\) −9.24863 23.9762i −0.581456 1.50737i
\(254\) 9.10592 + 2.44276i 0.571356 + 0.153272i
\(255\) 1.48414i 0.0929405i
\(256\) −8.03219 + 13.8378i −0.502012 + 0.864861i
\(257\) 10.5986i 0.661120i 0.943785 + 0.330560i \(0.107238\pi\)
−0.943785 + 0.330560i \(0.892762\pi\)
\(258\) 1.03847 3.87111i 0.0646522 0.241005i
\(259\) −2.38420 6.18081i −0.148147 0.384057i
\(260\) 8.39012 + 10.9474i 0.520333 + 0.678928i
\(261\) −7.35108 5.73684i −0.455020 0.355101i
\(262\) 0.00238542 0.000253964i 0.000147372 1.56900e-5i
\(263\) −6.75850 2.41823i −0.416747 0.149115i 0.120163 0.992754i \(-0.461658\pi\)
−0.536910 + 0.843640i \(0.680408\pi\)
\(264\) 1.52138 + 2.28120i 0.0936342 + 0.140398i
\(265\) −9.97500 11.0057i −0.612759 0.676076i
\(266\) −7.47557 9.91515i −0.458356 0.607937i
\(267\) 4.54208 1.01996i 0.277971 0.0624204i
\(268\) −6.82940 28.3148i −0.417172 1.72960i
\(269\) −3.25884 11.7759i −0.198695 0.717992i −0.993767 0.111477i \(-0.964442\pi\)
0.795072 0.606515i \(-0.207433\pi\)
\(270\) −4.28592 + 6.18870i −0.260833 + 0.376632i
\(271\) −1.58093 0.479570i −0.0960347 0.0291318i 0.241902 0.970301i \(-0.422229\pi\)
−0.337936 + 0.941169i \(0.609729\pi\)
\(272\) 4.80786 + 4.51356i 0.291520 + 0.273675i
\(273\) −0.813333 2.68120i −0.0492252 0.162274i
\(274\) 12.6910 + 24.7249i 0.766690 + 1.49369i
\(275\) 12.6592 6.37211i 0.763379 0.384253i
\(276\) −0.0404256 + 4.61346i −0.00243333 + 0.277697i
\(277\) −13.0899 + 0.321340i −0.786498 + 0.0193074i −0.415812 0.909451i \(-0.636502\pi\)
−0.370686 + 0.928758i \(0.620877\pi\)
\(278\) −1.06403 + 25.8135i −0.0638165 + 1.54819i
\(279\) 2.62671 + 17.7078i 0.157257 + 1.06014i
\(280\) −19.3812 30.6653i −1.15825 1.83260i
\(281\) 29.5843 7.41048i 1.76485 0.442072i 0.781518 0.623882i \(-0.214446\pi\)
0.983334 + 0.181810i \(0.0581955\pi\)
\(282\) −0.0356282 4.51513i −0.00212163 0.268872i
\(283\) 15.2804 + 7.69150i 0.908325 + 0.457212i 0.841318 0.540540i \(-0.181780\pi\)
0.0670068 + 0.997753i \(0.478655\pi\)
\(284\) 4.57115 8.88656i 0.271248 0.527320i
\(285\) −1.85304 + 0.321533i −0.109765 + 0.0190460i
\(286\) 5.54875 8.91734i 0.328105 0.527294i
\(287\) 0.695550 + 0.464752i 0.0410570 + 0.0274334i
\(288\) 3.45536 + 16.1119i 0.203609 + 0.949405i
\(289\) −11.8751 + 7.93466i −0.698533 + 0.466745i
\(290\) −0.448000 13.8076i −0.0263074 0.810813i
\(291\) 1.59275 1.00860i 0.0933688 0.0591251i
\(292\) −31.1413 5.68504i −1.82241 0.332692i
\(293\) 5.91195 + 6.85360i 0.345380 + 0.400391i 0.902955 0.429735i \(-0.141393\pi\)
−0.557575 + 0.830127i \(0.688268\pi\)
\(294\) 0.902340 + 4.35643i 0.0526255 + 0.254072i
\(295\) −10.5586 14.2367i −0.614747 0.828890i
\(296\) −3.37839 + 2.90908i −0.196365 + 0.169087i
\(297\) 5.56047 + 1.39283i 0.322651 + 0.0808199i
\(298\) 8.33226 + 2.01739i 0.482675 + 0.116864i
\(299\) 16.1558 7.16135i 0.934311 0.414152i
\(300\) −2.53425 + 0.227199i −0.146315 + 0.0131174i
\(301\) 40.2682 2.97036i 2.32102 0.171209i
\(302\) 5.88742 + 0.679027i 0.338783 + 0.0390736i
\(303\) −4.28438 + 3.51610i −0.246131 + 0.201995i
\(304\) −4.59384 + 6.98075i −0.263475 + 0.400373i
\(305\) −0.179148 + 0.218293i −0.0102580 + 0.0124994i
\(306\) 6.79071 + 0.113096i 0.388199 + 0.00646528i
\(307\) 17.1115 + 21.9263i 0.976603 + 1.25140i 0.967873 + 0.251439i \(0.0809038\pi\)
0.00872962 + 0.999962i \(0.497221\pi\)
\(308\) −16.6491 + 22.0424i −0.948670 + 1.25598i
\(309\) −1.36897 0.237539i −0.0778782 0.0135131i
\(310\) −17.6554 + 19.7914i −1.00276 + 1.12408i
\(311\) 9.81986 20.7623i 0.556833 1.17732i −0.407640 0.913143i \(-0.633648\pi\)
0.964473 0.264182i \(-0.0851019\pi\)
\(312\) −1.51549 + 1.12192i −0.0857977 + 0.0635160i
\(313\) −8.74777 + 9.65168i −0.494453 + 0.545545i −0.936141 0.351624i \(-0.885630\pi\)
0.441688 + 0.897169i \(0.354380\pi\)
\(314\) 13.0027 + 1.17714i 0.733786 + 0.0664298i
\(315\) −36.0076 9.96465i −2.02880 0.561444i
\(316\) −4.67027 + 10.2916i −0.262723 + 0.578947i
\(317\) −0.244814 + 9.97263i −0.0137501 + 0.560118i 0.952794 + 0.303618i \(0.0981946\pi\)
−0.966544 + 0.256501i \(0.917430\pi\)
\(318\) 1.52707 1.33842i 0.0856339 0.0750549i
\(319\) −9.71888 + 4.02569i −0.544153 + 0.225395i
\(320\) −15.0533 + 19.2199i −0.841508 + 1.07443i
\(321\) 1.53137 + 0.634312i 0.0854725 + 0.0354039i
\(322\) −44.0168 + 14.9274i −2.45296 + 0.831873i
\(323\) 2.37497 + 2.49451i 0.132147 + 0.138798i
\(324\) 13.3647 + 9.58879i 0.742485 + 0.532711i
\(325\) 4.80378 + 8.47986i 0.266466 + 0.470378i
\(326\) 2.92724 + 9.38264i 0.162125 + 0.519656i
\(327\) 0.140870 + 2.86748i 0.00779014 + 0.158572i
\(328\) 0.137265 0.545975i 0.00757922 0.0301464i
\(329\) 42.8290 15.3245i 2.36124 0.844866i
\(330\) 1.81859 + 3.76788i 0.100110 + 0.207415i
\(331\) −23.5214 + 16.5656i −1.29285 + 0.910530i −0.998973 0.0453116i \(-0.985572\pi\)
−0.293881 + 0.955842i \(0.594947\pi\)
\(332\) −9.67527 + 3.36653i −0.530999 + 0.184762i
\(333\) −0.562055 + 4.55702i −0.0308004 + 0.249723i
\(334\) 6.04624 2.38727i 0.330835 0.130625i
\(335\) −4.35613 44.2286i −0.238001 2.41646i
\(336\) 4.23573 2.57939i 0.231078 0.140717i
\(337\) −28.1044 2.76804i −1.53095 0.150785i −0.702836 0.711352i \(-0.748083\pi\)
−0.828109 + 0.560567i \(0.810583\pi\)
\(338\) −9.75533 5.42510i −0.530620 0.295086i
\(339\) 2.49401 2.89126i 0.135456 0.157031i
\(340\) 6.31494 + 7.83376i 0.342476 + 0.424845i
\(341\) 18.8424 + 7.26832i 1.02037 + 0.393602i
\(342\) 1.32997 + 8.50311i 0.0719166 + 0.459796i
\(343\) −13.2085 + 7.91690i −0.713194 + 0.427472i
\(344\) −10.9900 24.8516i −0.592543 1.33991i
\(345\) −1.03293 + 6.96343i −0.0556109 + 0.374898i
\(346\) −11.7729 2.24535i −0.632915 0.120711i
\(347\) −3.63502 0.268135i −0.195138 0.0143942i −0.0243573 0.999703i \(-0.507754\pi\)
−0.170781 + 0.985309i \(0.554629\pi\)
\(348\) 1.88838 0.0298037i 0.101228 0.00159764i
\(349\) −5.51655 1.23878i −0.295294 0.0663105i 0.0689311 0.997621i \(-0.478041\pi\)
−0.364225 + 0.931311i \(0.618666\pi\)
\(350\) −10.5722 23.3514i −0.565108 1.24818i
\(351\) −0.769027 + 3.86616i −0.0410476 + 0.206360i
\(352\) 17.7367 + 5.56752i 0.945369 + 0.296750i
\(353\) −2.20440 11.0823i −0.117329 0.589850i −0.994057 0.108864i \(-0.965279\pi\)
0.876728 0.480986i \(-0.159721\pi\)
\(354\) 1.97003 1.41084i 0.104706 0.0749853i
\(355\) 8.77998 12.4666i 0.465993 0.661659i
\(356\) 19.6346 24.7100i 1.04063 1.30963i
\(357\) −0.641170 1.94085i −0.0339343 0.102721i
\(358\) 30.8824 13.0783i 1.63218 0.691211i
\(359\) 13.9201 23.2242i 0.734673 1.22573i −0.232743 0.972538i \(-0.574770\pi\)
0.967417 0.253190i \(-0.0814798\pi\)
\(360\) 1.82778 + 25.0765i 0.0963326 + 1.32165i
\(361\) 8.71827 11.7552i 0.458857 0.618696i
\(362\) −31.2802 14.4935i −1.64405 0.761762i
\(363\) −0.0407629 + 0.0428146i −0.00213950 + 0.00224718i
\(364\) −15.7014 10.6915i −0.822977 0.560388i
\(365\) −45.8637 15.1513i −2.40062 0.793057i
\(366\) −0.0294304 0.0249846i −0.00153835 0.00130596i
\(367\) −6.62054 3.53875i −0.345589 0.184721i 0.289465 0.957188i \(-0.406522\pi\)
−0.635055 + 0.772467i \(0.719022\pi\)
\(368\) 19.4166 + 24.5233i 1.01216 + 1.27836i
\(369\) −0.273313 0.511333i −0.0142281 0.0266189i
\(370\) −5.71829 + 3.68460i −0.297280 + 0.191553i
\(371\) 17.7992 + 10.0831i 0.924088 + 0.523489i
\(372\) −2.66508 2.45836i −0.138178 0.127460i
\(373\) 7.86352 + 4.97952i 0.407157 + 0.257830i 0.722812 0.691044i \(-0.242849\pi\)
−0.315655 + 0.948874i \(0.602224\pi\)
\(374\) 3.88708 6.60280i 0.200996 0.341423i
\(375\) 0.618045 + 0.0303626i 0.0319157 + 0.00156792i
\(376\) −19.3997 23.6806i −1.00046 1.22124i
\(377\) −3.09295 6.53949i −0.159295 0.336801i
\(378\) 2.93120 9.94469i 0.150765 0.511500i
\(379\) 13.5418 1.67022i 0.695597 0.0857937i 0.233150 0.972441i \(-0.425097\pi\)
0.462447 + 0.886647i \(0.346972\pi\)
\(380\) −8.41281 + 9.58174i −0.431568 + 0.491533i
\(381\) −0.796945 + 1.79788i −0.0408287 + 0.0921081i
\(382\) −2.77760 21.1454i −0.142114 1.08190i
\(383\) 20.3064 + 20.3064i 1.03761 + 1.03761i 0.999265 + 0.0383447i \(0.0122085\pi\)
0.0383447 + 0.999265i \(0.487792\pi\)
\(384\) −2.59289 2.10138i −0.132318 0.107236i
\(385\) −29.8037 + 29.8037i −1.51894 + 1.51894i
\(386\) −8.64285 6.63588i −0.439910 0.337758i
\(387\) −25.5846 11.3409i −1.30054 0.576489i
\(388\) 4.11550 12.1008i 0.208933 0.614324i
\(389\) 3.65247 + 29.6135i 0.185188 + 1.50146i 0.741761 + 0.670665i \(0.233991\pi\)
−0.556573 + 0.830799i \(0.687884\pi\)
\(390\) −2.52657 + 1.37622i −0.127938 + 0.0696877i
\(391\) 11.6542 5.51205i 0.589381 0.278756i
\(392\) 23.2992 + 19.1552i 1.17679 + 0.967482i
\(393\) −2.45533e−5 0 0.000499793i −1.23855e−6 0 2.52112e-5i
\(394\) −5.38503 20.8005i −0.271294 1.04791i
\(395\) −9.22574 + 14.5690i −0.464197 + 0.733048i
\(396\) 17.3786 8.03387i 0.873306 0.403717i
\(397\) −8.27234 + 14.6027i −0.415177 + 0.732889i −0.996746 0.0806077i \(-0.974314\pi\)
0.581569 + 0.813497i \(0.302439\pi\)
\(398\) 29.7290 + 6.42990i 1.49018 + 0.322302i
\(399\) 2.28436 1.22102i 0.114361 0.0611273i
\(400\) −12.4098 + 11.9823i −0.620492 + 0.599116i
\(401\) −11.2357 + 21.0204i −0.561082 + 1.04971i 0.428199 + 0.903685i \(0.359148\pi\)
−0.989281 + 0.146026i \(0.953352\pi\)
\(402\) 6.05548 0.494750i 0.302020 0.0246759i
\(403\) −4.35640 + 13.1870i −0.217008 + 0.656891i
\(404\) −7.65346 + 36.7889i −0.380774 + 1.83031i
\(405\) 18.1771 + 17.3061i 0.903229 + 0.859946i
\(406\) 6.55096 + 17.8631i 0.325119 + 0.886529i
\(407\) 4.16058 + 3.08570i 0.206232 + 0.152952i
\(408\) −1.08517 + 0.845351i −0.0537237 + 0.0418511i
\(409\) −30.9648 18.5596i −1.53111 0.917713i −0.997401 0.0720456i \(-0.977047\pi\)
−0.533710 0.845667i \(-0.679203\pi\)
\(410\) 0.322449 0.796173i 0.0159246 0.0393202i
\(411\) −5.50458 + 1.81847i −0.271521 + 0.0896984i
\(412\) −8.23659 + 4.57110i −0.405788 + 0.225202i
\(413\) 19.9582 + 14.0562i 0.982080 + 0.691659i
\(414\) 31.7826 + 5.25681i 1.56203 + 0.258358i
\(415\) −15.3306 + 3.04945i −0.752550 + 0.149692i
\(416\) −3.22552 + 12.3702i −0.158144 + 0.606497i
\(417\) −5.28556 1.05136i −0.258835 0.0514854i
\(418\) 9.08611 + 3.42278i 0.444416 + 0.167414i
\(419\) −2.93159 + 13.0550i −0.143218 + 0.637778i 0.850511 + 0.525958i \(0.176293\pi\)
−0.993728 + 0.111820i \(0.964332\pi\)
\(420\) 6.94448 3.00575i 0.338856 0.146666i
\(421\) −0.139740 + 1.89441i −0.00681053 + 0.0923281i −0.999627 0.0273217i \(-0.991302\pi\)
0.992816 + 0.119650i \(0.0381772\pi\)
\(422\) −14.7145 21.6500i −0.716289 1.05390i
\(423\) −31.1863 4.62605i −1.51633 0.224926i
\(424\) 2.36544 13.5622i 0.114876 0.658639i
\(425\) 3.65524 + 6.09839i 0.177305 + 0.295816i
\(426\) 1.68406 + 1.22851i 0.0815932 + 0.0595214i
\(427\) 0.139971 0.362862i 0.00677368 0.0175601i
\(428\) 10.7820 3.16778i 0.521167 0.153121i
\(429\) 1.65890 + 1.43097i 0.0800922 + 0.0690880i
\(430\) −11.3733 39.8712i −0.548470 1.92276i
\(431\) −1.84599 + 18.7426i −0.0889182 + 0.902801i 0.842463 + 0.538755i \(0.181105\pi\)
−0.931381 + 0.364046i \(0.881395\pi\)
\(432\) −6.96623 + 0.391261i −0.335163 + 0.0188246i
\(433\) 2.71929 0.267826i 0.130681 0.0128709i −0.0324654 0.999473i \(-0.510336\pi\)
0.163146 + 0.986602i \(0.447836\pi\)
\(434\) 14.5383 33.5091i 0.697861 1.60849i
\(435\) 2.86003 + 0.352751i 0.137128 + 0.0169131i
\(436\) 12.9445 + 14.5361i 0.619931 + 0.696151i
\(437\) 9.40696 + 13.3569i 0.449996 + 0.638945i
\(438\) 2.17543 6.23458i 0.103946 0.297900i
\(439\) 6.55497 + 18.3199i 0.312852 + 0.874361i 0.990319 + 0.138809i \(0.0443274\pi\)
−0.677468 + 0.735553i \(0.736923\pi\)
\(440\) 25.6312 + 12.1500i 1.22192 + 0.579229i
\(441\) 31.0267 1.52424i 1.47746 0.0725830i
\(442\) 4.66624 + 2.44701i 0.221950 + 0.116393i
\(443\) −12.2598 + 6.94507i −0.582479 + 0.329970i −0.755705 0.654912i \(-0.772706\pi\)
0.173227 + 0.984882i \(0.444581\pi\)
\(444\) −0.490627 0.790016i −0.0232841 0.0374925i
\(445\) 34.8775 33.2061i 1.65335 1.57412i
\(446\) 1.97009 + 0.972252i 0.0932864 + 0.0460375i
\(447\) −0.684342 + 1.65215i −0.0323683 + 0.0781439i
\(448\) 11.3824 31.6376i 0.537767 1.49474i
\(449\) −2.61671 6.31729i −0.123490 0.298131i 0.850030 0.526735i \(-0.176584\pi\)
−0.973520 + 0.228604i \(0.926584\pi\)
\(450\) −1.16711 + 17.7278i −0.0550183 + 0.835697i
\(451\) −0.653898 0.0160523i −0.0307909 0.000755873i
\(452\) 0.862040 25.8729i 0.0405470 1.21696i
\(453\) −0.329715 + 1.19144i −0.0154914 + 0.0559786i
\(454\) 6.71239 + 8.04871i 0.315028 + 0.377745i
\(455\) −21.4761 19.4648i −1.00681 0.912522i
\(456\) −1.29057 1.17175i −0.0604364 0.0548724i
\(457\) 4.05808 + 1.91933i 0.189829 + 0.0897825i 0.520106 0.854101i \(-0.325892\pi\)
−0.330277 + 0.943884i \(0.607142\pi\)
\(458\) 0.341364 + 5.98465i 0.0159509 + 0.279645i
\(459\) −0.491637 + 2.83337i −0.0229477 + 0.132251i
\(460\) 24.1769 + 41.1502i 1.12725 + 1.91864i
\(461\) −26.6338 + 20.7853i −1.24046 + 0.968066i −0.999997 0.00259209i \(-0.999175\pi\)
−0.240465 + 0.970658i \(0.577300\pi\)
\(462\) −4.00599 4.14169i −0.186376 0.192689i
\(463\) 2.57253 + 2.11122i 0.119556 + 0.0981168i 0.692271 0.721637i \(-0.256610\pi\)
−0.572716 + 0.819754i \(0.694110\pi\)
\(464\) 9.84062 8.19226i 0.456839 0.380316i
\(465\) −3.50966 4.27653i −0.162756 0.198319i
\(466\) 11.3661 9.01543i 0.526527 0.417632i
\(467\) −0.197927 2.68323i −0.00915896 0.124165i 0.990777 0.135504i \(-0.0432655\pi\)
−0.999936 + 0.0113394i \(0.996390\pi\)
\(468\) 6.10439 + 11.6652i 0.282176 + 0.539226i
\(469\) 24.8040 + 55.9569i 1.14534 + 2.58385i
\(470\) −24.3288 39.8732i −1.12220 1.83921i
\(471\) −0.661726 + 2.64176i −0.0304907 + 0.121726i
\(472\) 4.39540 15.8292i 0.202315 0.728600i
\(473\) −25.3587 + 18.8073i −1.16599 + 0.864760i
\(474\) −1.97043 1.29423i −0.0905048 0.0594458i
\(475\) −6.82232 + 5.88497i −0.313029 + 0.270021i
\(476\) −11.6425 7.51626i −0.533634 0.344507i
\(477\) −7.58545 11.9787i −0.347314 0.548469i
\(478\) −8.36414 + 8.92510i −0.382567 + 0.408225i
\(479\) 0.548293 + 0.820578i 0.0250521 + 0.0374932i 0.843784 0.536682i \(-0.180323\pi\)
−0.818732 + 0.574176i \(0.805323\pi\)
\(480\) −3.47576 3.72185i −0.158646 0.169878i
\(481\) −1.97900 + 2.96178i −0.0902345 + 0.135045i
\(482\) 4.87532 + 20.9366i 0.222065 + 0.953637i
\(483\) −1.65751 9.55249i −0.0754195 0.434653i
\(484\) −0.0329853 + 0.399433i −0.00149933 + 0.0181560i
\(485\) 8.76848 17.4200i 0.398156 0.791001i
\(486\) −7.59839 + 7.71926i −0.344670 + 0.350153i
\(487\) 2.26333 + 9.03571i 0.102561 + 0.409447i 0.999462 0.0327837i \(-0.0104372\pi\)
−0.896901 + 0.442231i \(0.854187\pi\)
\(488\) −0.261651 0.00665138i −0.0118444 0.000301094i
\(489\) −2.02800 + 0.300826i −0.0917095 + 0.0136038i
\(490\) 31.1751 + 33.8557i 1.40835 + 1.52944i
\(491\) 0.195364 + 7.95827i 0.00881668 + 0.359152i 0.987846 + 0.155434i \(0.0496775\pi\)
−0.979030 + 0.203718i \(0.934697\pi\)
\(492\) 0.108094 + 0.0458878i 0.00487326 + 0.00206878i
\(493\) −2.37278 4.71391i −0.106865 0.212304i
\(494\) −2.04432 + 6.35621i −0.0919784 + 0.285979i
\(495\) 27.9552 8.48011i 1.25649 0.381152i
\(496\) −24.5273 1.63623i −1.10131 0.0734691i
\(497\) −6.09605 + 20.0960i −0.273445 + 0.901428i
\(498\) −0.381927 2.10247i −0.0171145 0.0942140i
\(499\) −1.19448 + 0.330557i −0.0534722 + 0.0147978i −0.293346 0.956006i \(-0.594769\pi\)
0.239874 + 0.970804i \(0.422894\pi\)
\(500\) 3.39142 2.46949i 0.151669 0.110439i
\(501\) 0.297091 + 1.32301i 0.0132731 + 0.0591076i
\(502\) 2.89250 20.6193i 0.129099 0.920286i
\(503\) 20.5299 18.6072i 0.915381 0.829653i −0.0704291 0.997517i \(-0.522437\pi\)
0.985810 + 0.167864i \(0.0536869\pi\)
\(504\) −13.2237 32.0036i −0.589029 1.42555i
\(505\) −19.3157 + 53.9838i −0.859538 + 2.40225i
\(506\) 22.8331 28.2743i 1.01506 1.25695i
\(507\) 1.43250 1.83558i 0.0636196 0.0815210i
\(508\) 3.44336 + 12.8807i 0.152774 + 0.571490i
\(509\) 27.9190 10.7696i 1.23749 0.477352i 0.349379 0.936982i \(-0.386393\pi\)
0.888111 + 0.459629i \(0.152018\pi\)
\(510\) −1.81800 + 1.04892i −0.0805023 + 0.0464469i
\(511\) 66.5228 2.94279
\(512\) −22.6273 0.0591675i −0.999997 0.00261486i
\(513\) −3.64415 −0.160893
\(514\) −12.9827 + 7.49054i −0.572643 + 0.330394i
\(515\) −13.4102 + 5.17288i −0.590924 + 0.227945i
\(516\) 5.47586 1.46384i 0.241061 0.0644421i
\(517\) −21.8824 + 28.0397i −0.962388 + 1.23319i
\(518\) 5.88615 7.28882i 0.258623 0.320253i
\(519\) 0.842230 2.35387i 0.0369698 0.103324i
\(520\) −7.48027 + 18.0146i −0.328032 + 0.789990i
\(521\) 14.3436 13.0002i 0.628403 0.569551i −0.293988 0.955809i \(-0.594983\pi\)
0.922391 + 0.386258i \(0.126233\pi\)
\(522\) 1.83196 13.0592i 0.0801827 0.571587i
\(523\) 5.66820 + 25.2417i 0.247853 + 1.10374i 0.928559 + 0.371184i \(0.121048\pi\)
−0.680706 + 0.732557i \(0.738327\pi\)
\(524\) 0.00199699 + 0.00274254i 8.72391e−5 + 0.000119808i
\(525\) 5.15322 1.42609i 0.224905 0.0622396i
\(526\) −1.81437 9.98792i −0.0791101 0.435494i
\(527\) −2.94105 + 9.69533i −0.128114 + 0.422335i
\(528\) −1.71912 + 3.47585i −0.0748153 + 0.151267i
\(529\) 36.5071 11.0743i 1.58726 0.481491i
\(530\) 6.43161 19.9972i 0.279371 0.868622i
\(531\) −7.60709 15.1127i −0.330119 0.655835i
\(532\) 6.86221 16.1647i 0.297514 0.700830i
\(533\) −0.0110387 0.449666i −0.000478139 0.0194772i
\(534\) 4.45952 + 4.84297i 0.192982 + 0.209576i
\(535\) 16.9612 2.51596i 0.733299 0.108775i
\(536\) 29.8576 28.3772i 1.28965 1.22571i
\(537\) 1.69982 + 6.78605i 0.0733525 + 0.292840i
\(538\) 12.1217 12.3146i 0.522606 0.530919i
\(539\) 15.7566 31.3030i 0.678685 1.34832i
\(540\) −10.6099 0.876171i −0.456578 0.0377044i
\(541\) −7.75132 44.6719i −0.333255 1.92060i −0.387080 0.922046i \(-0.626516\pi\)
0.0538253 0.998550i \(-0.482859\pi\)
\(542\) −0.529875 2.27550i −0.0227601 0.0977410i
\(543\) 3.99523 5.97928i 0.171452 0.256596i
\(544\) −2.13092 + 9.07935i −0.0913624 + 0.389274i
\(545\) 16.5000 + 24.6940i 0.706781 + 1.05777i
\(546\) 2.70951 2.89123i 0.115956 0.123733i
\(547\) 1.38808 + 2.19201i 0.0593499 + 0.0937237i 0.873228 0.487312i \(-0.162023\pi\)
−0.813878 + 0.581036i \(0.802648\pi\)
\(548\) −21.3174 + 33.0202i −0.910635 + 1.41055i
\(549\) −0.204113 + 0.176069i −0.00871133 + 0.00751445i
\(550\) 16.7524 + 11.0034i 0.714326 + 0.469187i
\(551\) 5.37154 3.98381i 0.228835 0.169716i
\(552\) −5.67982 + 3.21104i −0.241749 + 0.136671i
\(553\) 5.77071 23.0380i 0.245396 0.979674i
\(554\) −9.64495 15.8074i −0.409774 0.671592i
\(555\) −0.575026 1.29724i −0.0244085 0.0550647i
\(556\) −32.3723 + 16.9404i −1.37289 + 0.718431i
\(557\) 3.15152 + 42.7241i 0.133534 + 1.81028i 0.485470 + 0.874253i \(0.338649\pi\)
−0.351936 + 0.936024i \(0.614476\pi\)
\(558\) −19.8348 + 15.7326i −0.839673 + 0.666014i
\(559\) −13.7733 16.7828i −0.582548 0.709837i
\(560\) 23.8658 45.4137i 1.00851 1.91908i
\(561\) 1.23546 + 1.01391i 0.0521611 + 0.0428075i
\(562\) 29.9862 + 31.0019i 1.26489 + 1.30774i
\(563\) 0.314001 0.245049i 0.0132336 0.0103276i −0.608593 0.793482i \(-0.708266\pi\)
0.621827 + 0.783155i \(0.286391\pi\)
\(564\) 5.50562 3.23471i 0.231829 0.136206i
\(565\) 6.75291 38.9180i 0.284097 1.63729i
\(566\) 1.37772 + 24.1537i 0.0579100 + 1.01526i
\(567\) −31.2472 14.7788i −1.31226 0.620652i
\(568\) 14.1163 0.681154i 0.592305 0.0285806i
\(569\) 16.1818 + 14.6663i 0.678377 + 0.614845i 0.936250 0.351334i \(-0.114272\pi\)
−0.257874 + 0.966179i \(0.583022\pi\)
\(570\) −1.70350 2.04264i −0.0713517 0.0855566i
\(571\) −2.53502 + 9.16040i −0.106087 + 0.383351i −0.997567 0.0697095i \(-0.977793\pi\)
0.891480 + 0.453060i \(0.149668\pi\)
\(572\) 14.8449 + 0.494607i 0.620696 + 0.0206806i
\(573\) 4.44735 + 0.109176i 0.185791 + 0.00456091i
\(574\) −0.0777171 + 1.18048i −0.00324385 + 0.0492722i
\(575\) 12.9056 + 31.1569i 0.538202 + 1.29933i
\(576\) −17.2942 + 15.6198i −0.720594 + 0.650824i
\(577\) 11.7092 28.2685i 0.487461 1.17683i −0.468532 0.883446i \(-0.655217\pi\)
0.955993 0.293388i \(-0.0947829\pi\)
\(578\) −18.1123 8.93853i −0.753371 0.371794i
\(579\) 1.64617 1.56728i 0.0684125 0.0651341i
\(580\) 16.5971 10.3073i 0.689155 0.427989i
\(581\) 18.7308 10.6109i 0.777086 0.440214i
\(582\) 2.36116 + 1.23821i 0.0978733 + 0.0513256i
\(583\) −15.9762 + 0.784860i −0.661666 + 0.0325056i
\(584\) −15.0452 42.1644i −0.622576 1.74478i
\(585\) 6.76776 + 18.9146i 0.279813 + 0.782024i
\(586\) −4.21704 + 12.0856i −0.174204 + 0.499253i
\(587\) −15.0850 21.4191i −0.622627 0.884062i 0.376476 0.926427i \(-0.377136\pi\)
−0.999102 + 0.0423646i \(0.986511\pi\)
\(588\) −4.69868 + 4.18423i −0.193770 + 0.172555i
\(589\) −12.7424 1.57162i −0.525040 0.0647575i
\(590\) 9.97688 22.9956i 0.410741 0.946712i
\(591\) 4.46031 0.439302i 0.183473 0.0180705i
\(592\) −5.95116 2.08236i −0.244591 0.0855843i
\(593\) 1.54551 15.6918i 0.0634664 0.644385i −0.909853 0.414931i \(-0.863806\pi\)
0.973319 0.229455i \(-0.0736942\pi\)
\(594\) 2.22373 + 7.79568i 0.0912406 + 0.319861i
\(595\) −16.0111 13.8112i −0.656390 0.566206i
\(596\) 3.41763 + 11.6324i 0.139992 + 0.476481i
\(597\) −2.28341 + 5.91953i −0.0934539 + 0.242270i
\(598\) 20.1904 + 14.7287i 0.825647 + 0.602301i
\(599\) −19.7688 32.9823i −0.807731 1.34762i −0.934601 0.355699i \(-0.884243\pi\)
0.126869 0.991919i \(-0.459507\pi\)
\(600\) −2.06939 2.94376i −0.0844825 0.120178i
\(601\) 30.7059 + 4.55479i 1.25252 + 0.185794i 0.739839 0.672784i \(-0.234902\pi\)
0.512682 + 0.858578i \(0.328652\pi\)
\(602\) 32.0981 + 47.2272i 1.30822 + 1.92484i
\(603\) 3.12082 42.3079i 0.127090 1.72291i
\(604\) 3.32917 + 7.69170i 0.135462 + 0.312971i
\(605\) −0.133989 + 0.596682i −0.00544744 + 0.0242586i
\(606\) −7.33503 2.76314i −0.297965 0.112245i
\(607\) 21.2432 + 4.22554i 0.862235 + 0.171509i 0.606350 0.795198i \(-0.292633\pi\)
0.255885 + 0.966707i \(0.417633\pi\)
\(608\) −11.7978 0.693578i −0.478463 0.0281283i
\(609\) −3.89253 + 0.774271i −0.157733 + 0.0313751i
\(610\) −0.394011 0.0651691i −0.0159530 0.00263862i
\(611\) −19.9972 14.0836i −0.809001 0.569763i
\(612\) 4.66081 + 8.39822i 0.188402 + 0.339478i
\(613\) −1.99232 + 0.658173i −0.0804690 + 0.0265834i −0.353635 0.935384i \(-0.615054\pi\)
0.273166 + 0.961967i \(0.411929\pi\)
\(614\) −14.7651 + 36.4571i −0.595871 + 1.47129i
\(615\) 0.153688 + 0.0921168i 0.00619728 + 0.00371451i
\(616\) −38.7676 4.81583i −1.56199 0.194035i
\(617\) 20.0409 + 14.8633i 0.806815 + 0.598375i 0.918523 0.395366i \(-0.129382\pi\)
−0.111709 + 0.993741i \(0.535632\pi\)
\(618\) −0.676549 1.84481i −0.0272148 0.0742090i
\(619\) 4.00396 + 3.81208i 0.160933 + 0.153221i 0.765738 0.643153i \(-0.222374\pi\)
−0.604805 + 0.796373i \(0.706749\pi\)
\(620\) −36.7215 7.63944i −1.47477 0.306807i
\(621\) −4.27867 + 12.9517i −0.171697 + 0.519734i
\(622\) 32.3730 2.64497i 1.29804 0.106054i
\(623\) −31.2647 + 58.4921i −1.25259 + 2.34343i
\(624\) −2.44537 1.06348i −0.0978930 0.0425734i
\(625\) 24.6624 13.1823i 0.986495 0.527293i
\(626\) −18.0053 3.89425i −0.719637 0.155646i
\(627\) −0.998277 + 1.76220i −0.0398673 + 0.0703757i
\(628\) 7.74775 + 16.7596i 0.309169 + 0.668782i
\(629\) −1.39027 + 2.19547i −0.0554335 + 0.0875391i
\(630\) −13.2422 51.1501i −0.527583 2.03787i
\(631\) −2.10098 + 42.7665i −0.0836388 + 1.70251i 0.480636 + 0.876920i \(0.340406\pi\)
−0.564274 + 0.825587i \(0.690844\pi\)
\(632\) −15.9074 + 1.55274i −0.632762 + 0.0617648i
\(633\) 4.93610 2.33460i 0.196192 0.0927921i
\(634\) −12.3890 + 6.74828i −0.492030 + 0.268008i
\(635\) 2.49032 + 20.1910i 0.0988252 + 0.801253i
\(636\) 2.71876 + 0.924656i 0.107806 + 0.0366650i
\(637\) 22.0319 + 9.76606i 0.872935 + 0.386945i
\(638\) −11.8001 9.05998i −0.467170 0.358688i
\(639\) 10.2920 10.2920i 0.407147 0.407147i
\(640\) −34.1824 4.85591i −1.35118 0.191947i
\(641\) 9.43735 + 9.43735i 0.372753 + 0.372753i 0.868479 0.495726i \(-0.165098\pi\)
−0.495726 + 0.868479i \(0.665098\pi\)
\(642\) 0.305293 + 2.32415i 0.0120489 + 0.0917268i
\(643\) 12.4308 28.0435i 0.490223 1.10593i −0.482907 0.875672i \(-0.660419\pi\)
0.973130 0.230255i \(-0.0739559\pi\)
\(644\) −49.3942 43.3684i −1.94641 1.70895i
\(645\) 8.58358 1.05868i 0.337978 0.0416856i
\(646\) −1.37714 + 4.67221i −0.0541827 + 0.183826i
\(647\) 4.81602 + 10.1826i 0.189337 + 0.400320i 0.976220 0.216783i \(-0.0695563\pi\)
−0.786883 + 0.617103i \(0.788306\pi\)
\(648\) −2.30026 + 23.1480i −0.0903626 + 0.909340i
\(649\) −19.0645 0.936577i −0.748345 0.0367639i
\(650\) −6.99233 + 11.8775i −0.274262 + 0.465876i
\(651\) 6.43719 + 4.07631i 0.252293 + 0.159763i
\(652\) −9.42444 + 10.2169i −0.369089 + 0.400125i
\(653\) −40.8410 23.1362i −1.59823 0.905388i −0.994096 0.108509i \(-0.965393\pi\)
−0.604138 0.796880i \(-0.706482\pi\)
\(654\) −3.41296 + 2.19915i −0.133457 + 0.0859937i
\(655\) 0.00244017 + 0.00456524i 9.53455e−5 + 0.000178379i
\(656\) 0.765805 0.217725i 0.0298997 0.00850073i
\(657\) −40.6623 21.7345i −1.58639 0.847942i
\(658\) 49.0412 + 41.6329i 1.91182 + 1.62302i
\(659\) 35.2839 + 11.6562i 1.37446 + 0.454062i 0.903688 0.428191i \(-0.140849\pi\)
0.470776 + 0.882253i \(0.343974\pi\)
\(660\) −3.33017 + 4.89063i −0.129627 + 0.190368i
\(661\) −9.72593 + 10.2155i −0.378295 + 0.397335i −0.885613 0.464423i \(-0.846262\pi\)
0.507319 + 0.861759i \(0.330637\pi\)
\(662\) −36.9159 17.1048i −1.43478 0.664796i
\(663\) −0.654712 + 0.882777i −0.0254269 + 0.0342842i
\(664\) −10.9618 9.47242i −0.425402 0.367601i
\(665\) 13.7754 22.9829i 0.534188 0.891240i
\(666\) −5.97936 + 2.53219i −0.231695 + 0.0981203i
\(667\) −7.85206 23.7685i −0.304033 0.920321i
\(668\) 7.19747 + 5.71913i 0.278478 + 0.221280i
\(669\) −0.263873 + 0.374671i −0.0102019 + 0.0144856i
\(670\) 51.0991 36.5946i 1.97413 1.41377i
\(671\) 0.0593277 + 0.298261i 0.00229032 + 0.0115142i
\(672\) 6.15323 + 3.36558i 0.237366 + 0.129830i
\(673\) −7.46247 + 37.5164i −0.287657 + 1.44615i 0.518820 + 0.854884i \(0.326372\pi\)
−0.806477 + 0.591266i \(0.798628\pi\)
\(674\) −16.4721 36.3828i −0.634482 1.40141i
\(675\) −7.33975 1.64820i −0.282507 0.0634391i
\(676\) −0.249114 15.7840i −0.00958130 0.607076i
\(677\) 22.9690 + 1.69429i 0.882770 + 0.0651170i 0.507352 0.861739i \(-0.330624\pi\)
0.375417 + 0.926856i \(0.377499\pi\)
\(678\) 5.30429 + 1.01165i 0.203710 + 0.0388520i
\(679\) −3.94109 + 26.5687i −0.151245 + 1.01961i
\(680\) −5.13287 + 13.2720i −0.196837 + 0.508958i
\(681\) −1.87511 + 1.12390i −0.0718544 + 0.0430678i
\(682\) 4.41356 + 28.2179i 0.169004 + 1.08052i
\(683\) 41.5601 + 16.0315i 1.59025 + 0.613429i 0.983411 0.181392i \(-0.0580604\pi\)
0.606844 + 0.794821i \(0.292435\pi\)
\(684\) −9.47593 + 7.63873i −0.362321 + 0.292074i
\(685\) −39.1710 + 45.4101i −1.49665 + 1.73503i
\(686\) −19.0330 10.5845i −0.726682 0.404119i
\(687\) −1.24437 0.122560i −0.0474756 0.00467594i
\(688\) 22.6747 31.0261i 0.864466 1.18286i
\(689\) −1.07815 10.9466i −0.0410742 0.417033i
\(690\) −9.25987 + 3.65612i −0.352517 + 0.139186i
\(691\) 0.271664 2.20259i 0.0103346 0.0837905i −0.986428 0.164197i \(-0.947497\pi\)
0.996762 + 0.0804063i \(0.0256218\pi\)
\(692\) −5.57006 16.0081i −0.211742 0.608538i
\(693\) −32.8942 + 23.1667i −1.24955 + 0.880030i
\(694\) −2.24060 4.64222i −0.0850520 0.176216i
\(695\) −52.4902 + 18.7813i −1.99107 + 0.712415i
\(696\) 1.37112 + 2.29210i 0.0519721 + 0.0868819i
\(697\) −0.0161011 0.327746i −0.000609873 0.0124143i
\(698\) −2.38138 7.63301i −0.0901365 0.288914i
\(699\) 1.49159 + 2.63303i 0.0564172 + 0.0995903i
\(700\) 21.1324 29.4540i 0.798729 1.11326i
\(701\) −17.1996 18.0653i −0.649621 0.682318i 0.314051 0.949406i \(-0.398314\pi\)
−0.963672 + 0.267088i \(0.913939\pi\)
\(702\) −5.27936 + 1.79039i −0.199257 + 0.0675740i
\(703\) −3.04237 1.26019i −0.114745 0.0475290i
\(704\) 5.71549 + 25.6614i 0.215411 + 0.967151i
\(705\) 9.00160 3.72859i 0.339020 0.140427i
\(706\) 12.0173 10.5327i 0.452276 0.396403i
\(707\) 1.93789 78.9407i 0.0728817 2.96887i
\(708\) 3.12053 + 1.41608i 0.117277 + 0.0532196i
\(709\) −27.1492 7.51321i −1.01961 0.282164i −0.283462 0.958984i \(-0.591483\pi\)
−0.736149 + 0.676819i \(0.763358\pi\)
\(710\) 21.4762 + 1.94425i 0.805989 + 0.0729663i
\(711\) −11.0544 + 12.1966i −0.414572 + 0.457410i
\(712\) 44.1453 + 6.58767i 1.65442 + 0.246883i
\(713\) −20.5468 + 43.4425i −0.769483 + 1.62694i
\(714\) 1.92430 2.15710i 0.0720150 0.0807274i
\(715\) 22.3297 + 3.87457i 0.835083 + 0.144901i
\(716\) 37.8465 + 28.5863i 1.41439 + 1.06832i
\(717\) −1.56974 2.01144i −0.0586231 0.0751186i
\(718\) 38.2866 + 0.637645i 1.42884 + 0.0237967i
\(719\) −21.3012 + 25.9556i −0.794402 + 0.967982i −0.999943 0.0106664i \(-0.996605\pi\)
0.205541 + 0.978649i \(0.434105\pi\)
\(720\) −29.4257 + 19.9618i −1.09663 + 0.743933i
\(721\) 15.3021 12.5581i 0.569880 0.467689i
\(722\) 20.5612 + 2.37143i 0.765209 + 0.0882555i
\(723\) −4.47193 + 0.329870i −0.166313 + 0.0122680i
\(724\) −4.35348 48.5600i −0.161796 1.80472i
\(725\) 12.6207 5.59439i 0.468722 0.207770i
\(726\) −0.0812549 0.0196732i −0.00301565 0.000730143i
\(727\) 51.1859 + 12.8214i 1.89838 + 0.475520i 0.999287 + 0.0377647i \(0.0120237\pi\)
0.899094 + 0.437755i \(0.144226\pi\)
\(728\) 1.99960 26.7897i 0.0741103 0.992892i
\(729\) 13.3518 + 18.0029i 0.494513 + 0.666773i
\(730\) −13.8546 66.8890i −0.512782 2.47567i
\(731\) −10.3454 11.9932i −0.382638 0.443584i
\(732\) 0.00980488 0.0537087i 0.000362399 0.00198513i
\(733\) −38.8882 + 24.6257i −1.43637 + 0.909570i −0.436416 + 0.899745i \(0.643753\pi\)
−0.999952 + 0.00982525i \(0.996872\pi\)
\(734\) −0.344277 10.6108i −0.0127075 0.391653i
\(735\) −7.98215 + 5.33350i −0.294426 + 0.196729i
\(736\) −16.3171 + 41.1163i −0.601455 + 1.51557i
\(737\) −39.7936 26.5892i −1.46582 0.979427i
\(738\) 0.433193 0.696180i 0.0159461 0.0256268i
\(739\) −7.57513 + 1.31441i −0.278656 + 0.0483514i −0.308572 0.951201i \(-0.599851\pi\)
0.0299161 + 0.999552i \(0.490476\pi\)
\(740\) −8.55485 4.40052i −0.314483 0.161766i
\(741\) −1.24404 0.626197i −0.0457009 0.0230039i
\(742\) 0.228277 + 28.9294i 0.00838033 + 1.06203i
\(743\) −5.56873 + 1.39489i −0.204297 + 0.0511737i −0.343778 0.939051i \(-0.611707\pi\)
0.139481 + 0.990225i \(0.455457\pi\)
\(744\) 1.12783 5.00204i 0.0413481 0.183384i
\(745\) 2.71440 + 18.2990i 0.0994480 + 0.670424i
\(746\) −0.542113 + 13.1517i −0.0198482 + 0.481518i
\(747\) −14.9161 + 0.366170i −0.545752 + 0.0133975i
\(748\) 10.8353 + 0.0949446i 0.396178 + 0.00347152i
\(749\) −21.0937 + 10.6177i −0.770748 + 0.387962i
\(750\) 0.399611 + 0.778533i 0.0145917 + 0.0284280i
\(751\) −11.6097 38.2721i −0.423645 1.39657i −0.866141 0.499800i \(-0.833407\pi\)
0.442496 0.896771i \(-0.354093\pi\)
\(752\) 15.2969 40.5000i 0.557819 1.47688i
\(753\) 4.15615 + 1.26076i 0.151459 + 0.0459445i
\(754\) 5.82461 8.41050i 0.212120 0.306292i
\(755\) 3.41083 + 12.3251i 0.124133 + 0.448558i
\(756\) 14.2534 3.43785i 0.518391 0.125033i
\(757\) −15.0047 + 3.36941i −0.545354 + 0.122463i −0.483048 0.875594i \(-0.660470\pi\)
−0.0623058 + 0.998057i \(0.519845\pi\)
\(758\) 11.6166 + 15.4076i 0.421935 + 0.559630i
\(759\) 5.09098 + 5.61703i 0.184791 + 0.203885i
\(760\) −17.6829 3.53338i −0.641427 0.128169i
\(761\) 4.54657 + 1.62679i 0.164813 + 0.0589711i 0.418004 0.908445i \(-0.362730\pi\)
−0.253190 + 0.967416i \(0.581480\pi\)
\(762\) −2.76555 + 0.294435i −0.100185 + 0.0106662i
\(763\) −32.2456 25.1647i −1.16737 0.911023i
\(764\) 23.9390 18.3470i 0.866084 0.663771i
\(765\) 5.27439 + 13.6734i 0.190696 + 0.494361i
\(766\) −10.5228 + 39.2259i −0.380203 + 1.41729i
\(767\) 13.1259i 0.473948i
\(768\) 0.741567 4.66131i 0.0267590 0.168201i
\(769\) 26.2562i 0.946821i −0.880842 0.473411i \(-0.843023\pi\)
0.880842 0.473411i \(-0.156977\pi\)
\(770\) −57.5718 15.4443i −2.07474 0.556572i
\(771\) −1.12522 2.91703i −0.0405239 0.105054i
\(772\) 2.02028 15.2770i 0.0727116 0.549831i
\(773\) −25.4326 19.8478i −0.914747 0.713875i 0.0437307 0.999043i \(-0.486076\pi\)
−0.958478 + 0.285168i \(0.907951\pi\)
\(774\) −4.18993 39.3550i −0.150604 1.41459i
\(775\) −24.9538 8.92862i −0.896368 0.320725i
\(776\) 17.7315 3.51095i 0.636523 0.126036i
\(777\) 1.31240 + 1.44801i 0.0470822 + 0.0519472i
\(778\) −33.6937 + 25.4035i −1.20798 + 0.910758i
\(779\) 0.405722 0.0911079i 0.0145365 0.00326428i
\(780\) −3.47146 2.12228i −0.124298 0.0759897i
\(781\) −4.37953 15.8256i −0.156712 0.566284i
\(782\) 14.9886 + 10.3802i 0.535992 + 0.371196i
\(783\) 5.34323 + 1.62085i 0.190951 + 0.0579245i
\(784\) −6.99740 + 42.0783i −0.249907 + 1.50280i
\(785\) 8.17809 + 26.9595i 0.291889 + 0.962228i
\(786\) −0.000629575 0 0.000323153i −2.24562e−5 0 1.15265e-5i
\(787\) 26.9508 13.5659i 0.960693 0.483572i 0.101282 0.994858i \(-0.467705\pi\)
0.859411 + 0.511285i \(0.170830\pi\)
\(788\) 21.6737 21.2972i 0.772093 0.758680i
\(789\) 2.11687 0.0519663i 0.0753626 0.00185005i
\(790\) −24.3667 1.00439i −0.866927 0.0357347i
\(791\) 7.98216 + 53.8114i 0.283813 + 1.91331i
\(792\) 22.1234 + 15.6099i 0.786121 + 0.554675i
\(793\) −0.202856 + 0.0508128i −0.00720362 + 0.00180441i
\(794\) −23.7341 + 0.187282i −0.842291 + 0.00664640i
\(795\) 3.91386 + 1.97007i 0.138810 + 0.0698712i
\(796\) 13.1347 + 40.9609i 0.465548 + 1.45182i
\(797\) 30.2561 5.24993i 1.07173 0.185962i 0.392397 0.919796i \(-0.371646\pi\)
0.679329 + 0.733834i \(0.262271\pi\)
\(798\) 3.11016 + 1.93527i 0.110098 + 0.0685079i
\(799\) −14.8362 9.91323i −0.524867 0.350705i
\(800\) −23.4484 6.73291i −0.829027 0.238044i
\(801\) 38.2213 25.5387i 1.35048 0.902364i
\(802\) −33.6898 + 1.09309i −1.18963 + 0.0385984i
\(803\) −43.9451 + 27.8279i −1.55079 + 0.982027i
\(804\) 4.88576 + 7.06800i 0.172308 + 0.249269i
\(805\) −65.5099 75.9441i −2.30892 2.67668i
\(806\) −19.2323 + 3.98356i −0.677429 + 0.140315i
\(807\) 2.14715 + 2.89509i 0.0755832 + 0.101912i
\(808\) −50.4736 + 16.6255i −1.77566 + 0.584881i
\(809\) −12.5836 3.15204i −0.442417 0.110820i 0.0153693 0.999882i \(-0.495108\pi\)
−0.457787 + 0.889062i \(0.651358\pi\)
\(810\) −8.35237 + 34.4972i −0.293472 + 1.21211i
\(811\) −4.86354 + 2.15586i −0.170782 + 0.0757025i −0.488861 0.872362i \(-0.662587\pi\)
0.318079 + 0.948064i \(0.396962\pi\)
\(812\) −17.2515 + 20.6493i −0.605408 + 0.724650i
\(813\) 0.486032 0.0358519i 0.0170459 0.00125738i
\(814\) −0.839331 + 7.27732i −0.0294185 + 0.255070i
\(815\) −16.3946 + 13.4547i −0.574278 + 0.471298i
\(816\) −1.80246 0.731822i −0.0630986 0.0256189i
\(817\) 12.7329 15.5151i 0.445469 0.542805i
\(818\) 0.850171 51.0474i 0.0297255 1.78483i
\(819\) −17.0218 21.8114i −0.594789 0.762151i
\(820\) 1.20316 0.167712i 0.0420163 0.00585674i
\(821\) −21.7473 3.77352i −0.758987 0.131697i −0.221722 0.975110i \(-0.571168\pi\)
−0.537265 + 0.843413i \(0.680543\pi\)
\(822\) −6.11790 5.45764i −0.213386 0.190357i
\(823\) 21.3903 45.2260i 0.745619 1.57648i −0.0697692 0.997563i \(-0.522226\pi\)
0.815388 0.578915i \(-0.196524\pi\)
\(824\) −11.4206 6.85878i −0.397855 0.238937i
\(825\) −2.80767 + 3.09778i −0.0977504 + 0.107851i
\(826\) −3.11261 + 34.3820i −0.108302 + 1.19630i
\(827\) −20.2758 5.61106i −0.705058 0.195116i −0.104299 0.994546i \(-0.533260\pi\)
−0.600759 + 0.799430i \(0.705135\pi\)
\(828\) 16.0230 + 42.6473i 0.556839 + 1.48210i
\(829\) −0.516450 + 21.0378i −0.0179371 + 0.730674i 0.921583 + 0.388181i \(0.126896\pi\)
−0.939520 + 0.342493i \(0.888729\pi\)
\(830\) −14.5704 16.6240i −0.505744 0.577029i
\(831\) 3.56861 1.47817i 0.123794 0.0512770i
\(832\) −17.4325 + 4.79151i −0.604362 + 0.166116i
\(833\) 16.2428 + 6.72798i 0.562779 + 0.233111i
\(834\) −2.44770 7.21759i −0.0847571 0.249925i
\(835\) 9.67220 + 10.1590i 0.334720 + 0.351568i
\(836\) 2.22888 + 13.5491i 0.0770873 + 0.468605i
\(837\) −5.28364 9.32693i −0.182629 0.322386i
\(838\) −18.0636 + 5.63556i −0.623997 + 0.194677i
\(839\) 0.601744 + 12.2488i 0.0207745 + 0.422875i 0.986546 + 0.163482i \(0.0522725\pi\)
−0.965772 + 0.259393i \(0.916477\pi\)
\(840\) 8.58991 + 6.38232i 0.296380 + 0.220211i
\(841\) 17.6568 6.31772i 0.608857 0.217852i
\(842\) −2.41932 + 1.16770i −0.0833754 + 0.0402417i
\(843\) −7.35570 + 5.18047i −0.253344 + 0.178425i
\(844\) 16.1207 33.3256i 0.554896 1.14711i
\(845\) 2.94847 23.9055i 0.101430 0.822375i
\(846\) −16.3743 41.4711i −0.562959 1.42581i
\(847\) −0.0825537 0.838182i −0.00283658 0.0288003i
\(848\) 18.2848 6.68755i 0.627903 0.229651i
\(849\) −5.02219 0.494643i −0.172361 0.0169761i
\(850\) −4.88689 + 8.78753i −0.167619 + 0.301410i
\(851\) −8.05096 + 9.33330i −0.275983 + 0.319942i
\(852\) −0.314648 + 2.93114i −0.0107797 + 0.100419i
\(853\) 3.77574 + 1.45646i 0.129279 + 0.0498683i 0.423670 0.905817i \(-0.360742\pi\)
−0.294391 + 0.955685i \(0.595117\pi\)
\(854\) 0.543412 0.0849951i 0.0185952 0.00290847i
\(855\) −15.9293 + 9.54767i −0.544771 + 0.326523i
\(856\) 11.5006 + 10.9686i 0.393081 + 0.374898i
\(857\) 4.12664 27.8196i 0.140963 0.950298i −0.797103 0.603843i \(-0.793635\pi\)
0.938067 0.346455i \(-0.112615\pi\)
\(858\) −0.580445 + 3.04341i −0.0198161 + 0.103900i
\(859\) 51.2986 + 3.78401i 1.75029 + 0.129109i 0.910420 0.413685i \(-0.135759\pi\)
0.839866 + 0.542794i \(0.182634\pi\)
\(860\) 40.8022 42.1108i 1.39134 1.43597i
\(861\) −0.240777 0.0540683i −0.00820566 0.00184264i
\(862\) −24.2635 + 10.9851i −0.826417 + 0.374155i
\(863\) −3.63041 + 18.2513i −0.123581 + 0.621282i 0.868501 + 0.495687i \(0.165084\pi\)
−0.992082 + 0.125594i \(0.959916\pi\)
\(864\) −5.40267 8.25676i −0.183802 0.280901i
\(865\) −5.04544 25.3651i −0.171550 0.862440i
\(866\) 2.24993 + 3.14170i 0.0764558 + 0.106759i
\(867\) 2.42596 3.44459i 0.0823898 0.116985i
\(868\) 51.3220 5.87390i 1.74198 0.199373i
\(869\) 5.82514 + 17.6330i 0.197604 + 0.598157i
\(870\) 1.58922 + 3.75270i 0.0538798 + 0.127228i
\(871\) 16.9199 28.2291i 0.573308 0.956506i
\(872\) −8.65738 + 26.1298i −0.293176 + 0.884866i
\(873\) 11.0896 14.9526i 0.375326 0.506068i
\(874\) −9.71311 + 20.9630i −0.328551 + 0.709085i
\(875\) −6.07901 + 6.38498i −0.205508 + 0.215852i
\(876\) 9.17454 1.74150i 0.309979 0.0588399i
\(877\) 30.2246 + 9.98486i 1.02061 + 0.337165i 0.774836 0.632162i \(-0.217832\pi\)
0.245776 + 0.969327i \(0.420957\pi\)
\(878\) −17.8082 + 20.9771i −0.600999 + 0.707944i
\(879\) −2.35477 1.25865i −0.0794244 0.0424532i
\(880\) 3.23172 + 39.9840i 0.108941 + 1.34786i
\(881\) −2.75283 5.15019i −0.0927453 0.173514i 0.831271 0.555867i \(-0.187614\pi\)
−0.924016 + 0.382353i \(0.875114\pi\)
\(882\) 23.7953 + 36.9289i 0.801228 + 1.24346i
\(883\) −22.3730 12.6742i −0.752912 0.426519i 0.0679187 0.997691i \(-0.478364\pi\)
−0.820831 + 0.571171i \(0.806489\pi\)
\(884\) 0.300397 + 7.44533i 0.0101034 + 0.250414i
\(885\) 4.41751 + 2.79735i 0.148493 + 0.0940320i
\(886\) −17.1720 10.1092i −0.576903 0.339624i
\(887\) −13.8089 0.678390i −0.463659 0.0227781i −0.184102 0.982907i \(-0.558938\pi\)
−0.279557 + 0.960129i \(0.590188\pi\)
\(888\) 0.620979 1.15934i 0.0208387 0.0389048i
\(889\) −11.9794 25.3284i −0.401777 0.849487i
\(890\) 65.3255 + 19.2547i 2.18972 + 0.645419i
\(891\) 26.8243 3.30846i 0.898647 0.110838i
\(892\) 0.201402 + 3.10040i 0.00674343 + 0.103809i
\(893\) 9.16306 20.6715i 0.306630 0.691747i
\(894\) −2.50746 + 0.329372i −0.0838619 + 0.0110158i
\(895\) 51.1725 + 51.1725i 1.71051 + 1.71051i
\(896\) 46.7990 8.41708i 1.56345 0.281195i
\(897\) −3.68623 + 3.68623i −0.123080 + 0.123080i
\(898\) 5.88900 7.67008i 0.196519 0.255954i
\(899\) 17.9844 + 7.97196i 0.599815 + 0.265880i
\(900\) −22.5405 + 11.0995i −0.751351 + 0.369983i
\(901\) −0.982280 7.96412i −0.0327245 0.265323i
\(902\) −0.442480 0.812338i −0.0147330 0.0270479i
\(903\) −10.7676 + 5.09270i −0.358324 + 0.169474i
\(904\) 32.3022 17.2297i 1.07436 0.573052i
\(905\) 3.65022 74.3019i 0.121337 2.46988i
\(906\) −1.69248 + 0.438165i −0.0562288 + 0.0145571i
\(907\) −11.9651 + 18.8950i −0.397295 + 0.627398i −0.983103 0.183052i \(-0.941402\pi\)
0.585808 + 0.810450i \(0.300777\pi\)
\(908\) −5.11529 + 13.9108i −0.169757 + 0.461645i
\(909\) −26.9762 + 47.6197i −0.894745 + 1.57945i
\(910\) 8.66515 40.0639i 0.287247 1.32810i
\(911\) 19.5786 10.4650i 0.648669 0.346721i −0.114027 0.993478i \(-0.536375\pi\)
0.762696 + 0.646757i \(0.223875\pi\)
\(912\) 0.523229 2.40902i 0.0173259 0.0797706i
\(913\) −7.93487 + 14.8451i −0.262606 + 0.491301i
\(914\) 0.516970 + 6.32744i 0.0170998 + 0.209293i
\(915\) 0.0261312 0.0791002i 0.000863870 0.00261497i
\(916\) −7.08965 + 4.64781i −0.234248 + 0.153568i
\(917\) −0.00516333 0.00491590i −0.000170508 0.000162337i
\(918\) −3.81821 + 1.40026i −0.126020 + 0.0462154i
\(919\) 25.5204 + 18.9272i 0.841839 + 0.624351i 0.928270 0.371907i \(-0.121296\pi\)
−0.0864305 + 0.996258i \(0.527546\pi\)
\(920\) −33.3199 + 58.6984i −1.09852 + 1.93523i
\(921\) −7.03743 4.21807i −0.231891 0.138990i
\(922\) −44.2844 17.9351i −1.45843 0.590662i
\(923\) 10.7219 3.54203i 0.352915 0.116587i
\(924\) 2.24212 7.83429i 0.0737605 0.257729i
\(925\) −5.55773 3.91419i −0.182737 0.128698i
\(926\) −0.768003 + 4.64333i −0.0252381 + 0.152589i
\(927\) −13.4565 + 2.67666i −0.441969 + 0.0879131i
\(928\) 16.9900 + 6.26439i 0.557723 + 0.205639i
\(929\) 57.5624 + 11.4499i 1.88856 + 0.375658i 0.997011 0.0772613i \(-0.0246176\pi\)
0.891551 + 0.452920i \(0.149618\pi\)
\(930\) 2.75808 7.32160i 0.0904411 0.240085i
\(931\) −4.88136 + 21.7377i −0.159980 + 0.712424i
\(932\) 19.0765 + 7.55130i 0.624871 + 0.247351i
\(933\) −0.498422 + 6.75694i −0.0163176 + 0.221212i
\(934\) 3.14694 2.13883i 0.102971 0.0699845i
\(935\) 16.3545 + 2.42596i 0.534849 + 0.0793374i
\(936\) −9.97505 + 15.7220i −0.326045 + 0.513889i
\(937\) 10.1612 + 16.9529i 0.331952 + 0.553828i 0.977774 0.209659i \(-0.0672355\pi\)
−0.645823 + 0.763487i \(0.723485\pi\)
\(938\) −51.0142 + 69.9313i −1.66567 + 2.28334i
\(939\) 1.38294 3.58515i 0.0451307 0.116997i
\(940\) 31.6483 57.9820i 1.03225 1.89116i
\(941\) −17.2195 14.8537i −0.561340 0.484216i 0.325975 0.945378i \(-0.394307\pi\)
−0.887316 + 0.461163i \(0.847432\pi\)
\(942\) −3.70370 + 1.05648i −0.120673 + 0.0344221i
\(943\) 0.152559 1.54895i 0.00496799 0.0504408i
\(944\) 22.4965 5.80319i 0.732198 0.188878i
\(945\) 22.2642 2.19283i 0.724254 0.0713328i
\(946\) −40.9603 17.7711i −1.33173 0.577788i
\(947\) 35.7519 + 4.40958i 1.16178 + 0.143292i 0.680144 0.733078i \(-0.261917\pi\)
0.481638 + 0.876370i \(0.340042\pi\)
\(948\) 0.192760 3.32837i 0.00626057 0.108100i
\(949\) −20.5962 29.2444i −0.668581 0.949312i
\(950\) −12.0305 4.19779i −0.390320 0.136194i
\(951\) −0.991388 2.77075i −0.0321480 0.0898476i
\(952\) 0.978693 19.5736i 0.0317196 0.634385i
\(953\) −57.1519 + 2.80769i −1.85133 + 0.0909500i −0.944095 0.329674i \(-0.893061\pi\)
−0.907235 + 0.420624i \(0.861811\pi\)
\(954\) 9.31233 17.7578i 0.301498 0.574930i
\(955\) 40.0420 22.6835i 1.29573 0.734021i
\(956\) −16.8442 3.93783i −0.544779 0.127359i
\(957\) 2.24752 2.13981i 0.0726519 0.0691704i
\(958\) −0.617661 + 1.25158i −0.0199557 + 0.0404366i
\(959\) 31.6072 76.3065i 1.02065 2.46406i
\(960\) 2.10259 6.88805i 0.0678607 0.222311i
\(961\) −2.58949 6.25159i −0.0835320 0.201664i
\(962\) −5.02669 0.330933i −0.162067 0.0106697i
\(963\) 16.3627 + 0.401681i 0.527280 + 0.0129440i
\(964\) −22.2007 + 20.7690i −0.715036 + 0.668925i
\(965\) 6.27122 22.6613i 0.201878 0.729493i
\(966\) 10.5299 8.78160i 0.338793 0.282543i
\(967\) −21.4721 19.4612i −0.690496 0.625829i 0.248954 0.968515i \(-0.419913\pi\)
−0.939450 + 0.342686i \(0.888663\pi\)
\(968\) −0.512598 + 0.241894i −0.0164755 + 0.00777477i
\(969\) −0.918494 0.434416i −0.0295063 0.0139554i
\(970\) 27.5357 1.57063i 0.884120 0.0504300i
\(971\) −2.47674 + 14.2738i −0.0794824 + 0.458069i 0.918547 + 0.395313i \(0.129364\pi\)
−0.998029 + 0.0627556i \(0.980011\pi\)
\(972\) −14.8259 3.85206i −0.475540 0.123555i
\(973\) 60.5290 47.2373i 1.94047 1.51436i
\(974\) −9.46868 + 9.15846i −0.303396 + 0.293456i
\(975\) −2.22242 1.82390i −0.0711745 0.0584114i
\(976\) −0.176775 0.325211i −0.00565842 0.0104097i
\(977\) 4.40681 + 5.36972i 0.140986 + 0.171793i 0.838717 0.544568i \(-0.183306\pi\)
−0.697730 + 0.716361i \(0.745806\pi\)
\(978\) −1.80179 2.27159i −0.0576149 0.0726376i
\(979\) −3.81500 51.7187i −0.121928 1.65294i
\(980\) −19.4385 + 62.1155i −0.620940 + 1.98421i
\(981\) 11.4884 + 25.9174i 0.366796 + 0.827478i
\(982\) −9.61041 + 5.86382i −0.306680 + 0.187122i
\(983\) −14.2760 + 56.9929i −0.455333 + 1.81779i 0.111259 + 0.993791i \(0.464512\pi\)
−0.566591 + 0.823999i \(0.691738\pi\)
\(984\) 0.0201854 + 0.164841i 0.000643486 + 0.00525495i
\(985\) 37.2400 27.6190i 1.18656 0.880016i
\(986\) 4.09734 6.23810i 0.130486 0.198661i
\(987\) −10.1608 + 8.76479i −0.323423 + 0.278986i
\(988\) −9.23087 + 1.98806i −0.293673 + 0.0632487i
\(989\) −40.1925 63.4708i −1.27805 2.01826i
\(990\) 30.1450 + 28.2504i 0.958072 + 0.897855i
\(991\) −1.57048 2.35039i −0.0498879 0.0746625i 0.805687 0.592341i \(-0.201796\pi\)
−0.855575 + 0.517679i \(0.826796\pi\)
\(992\) −15.3304 31.2012i −0.486741 0.990638i
\(993\) 4.71504 7.05655i 0.149627 0.223933i
\(994\) −28.9250 + 6.73550i −0.917445 + 0.213637i
\(995\) 11.2209 + 64.6678i 0.355727 + 2.05011i
\(996\) 2.30550 1.95377i 0.0730524 0.0619074i
\(997\) 5.57303 11.0717i 0.176500 0.350644i −0.787599 0.616188i \(-0.788676\pi\)
0.964099 + 0.265543i \(0.0855513\pi\)
\(998\) −1.24911 1.22956i −0.0395400 0.0389209i
\(999\) −0.668059 2.66704i −0.0211365 0.0843815i
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 512.2.o.a.157.43 4032
512.437 even 128 inner 512.2.o.a.437.43 yes 4032
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
512.2.o.a.157.43 4032 1.1 even 1 trivial
512.2.o.a.437.43 yes 4032 512.437 even 128 inner