Properties

Label 27.2.e.a.22.1
Level $27$
Weight $2$
Character 27.22
Analytic conductor $0.216$
Analytic rank $0$
Dimension $12$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [27,2,Mod(4,27)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(27, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("27.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 27 = 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 27.e (of order \(9\), 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: \(0.215596085457\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: 12.0.1952986685049.1
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 22.1
Root \(0.500000 - 0.258654i\) of defining polynomial
Character \(\chi\) \(=\) 27.22
Dual form 27.2.e.a.16.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.62143 + 1.36054i) q^{2} +(-0.986166 + 1.42389i) q^{3} +(0.430663 - 2.44241i) q^{4} +(2.52129 - 0.917674i) q^{5} +(-0.338267 - 3.65046i) q^{6} +(0.168844 + 0.957561i) q^{7} +(0.508086 + 0.880031i) q^{8} +(-1.05495 - 2.80839i) q^{9} +O(q^{10})\) \(q+(-1.62143 + 1.36054i) q^{2} +(-0.986166 + 1.42389i) q^{3} +(0.430663 - 2.44241i) q^{4} +(2.52129 - 0.917674i) q^{5} +(-0.338267 - 3.65046i) q^{6} +(0.168844 + 0.957561i) q^{7} +(0.508086 + 0.880031i) q^{8} +(-1.05495 - 2.80839i) q^{9} +(-2.83955 + 4.91825i) q^{10} +(0.297791 + 0.108387i) q^{11} +(3.05303 + 3.02185i) q^{12} +(-1.15981 - 0.973200i) q^{13} +(-1.57657 - 1.32290i) q^{14} +(-1.17974 + 4.49503i) q^{15} +(2.63991 + 0.960847i) q^{16} +(-0.587342 + 1.01731i) q^{17} +(5.53146 + 3.11830i) q^{18} +(-3.11040 - 5.38737i) q^{19} +(-1.15551 - 6.55323i) q^{20} +(-1.52997 - 0.703898i) q^{21} +(-0.630310 + 0.229414i) q^{22} +(0.375556 - 2.12988i) q^{23} +(-1.75413 - 0.144396i) q^{24} +(1.68454 - 1.41350i) q^{25} +3.20463 q^{26} +(5.03922 + 1.26740i) q^{27} +2.41147 q^{28} +(-3.37436 + 2.83142i) q^{29} +(-4.20280 - 8.89344i) q^{30} +(-1.50609 + 8.54146i) q^{31} +(-7.49746 + 2.72885i) q^{32} +(-0.448003 + 0.317135i) q^{33} +(-0.431752 - 2.44859i) q^{34} +(1.30443 + 2.25934i) q^{35} +(-7.31359 + 1.36716i) q^{36} +(2.23332 - 3.86823i) q^{37} +(12.3730 + 4.50341i) q^{38} +(2.52950 - 0.691717i) q^{39} +(2.08861 + 1.75255i) q^{40} +(4.47767 + 3.75721i) q^{41} +(3.43842 - 0.940269i) q^{42} +(-5.25381 - 1.91223i) q^{43} +(0.392973 - 0.680649i) q^{44} +(-5.23703 - 6.11267i) q^{45} +(2.28885 + 3.96441i) q^{46} +(-0.429965 - 2.43845i) q^{47} +(-3.97153 + 2.81139i) q^{48} +(5.68943 - 2.07078i) q^{49} +(-0.808243 + 4.58377i) q^{50} +(-0.869320 - 1.83955i) q^{51} +(-2.87645 + 2.41362i) q^{52} -10.8920 q^{53} +(-9.89507 + 4.80105i) q^{54} +0.850279 q^{55} +(-0.756896 + 0.635111i) q^{56} +(10.7384 + 0.883963i) q^{57} +(1.61901 - 9.18189i) q^{58} +(1.62023 - 0.589715i) q^{59} +(10.4706 + 4.81725i) q^{60} +(0.176214 + 0.999361i) q^{61} +(-9.17898 - 15.8985i) q^{62} +(2.51109 - 1.48436i) q^{63} +(5.63455 - 9.75933i) q^{64} +(-3.81731 - 1.38939i) q^{65} +(0.294929 - 1.12374i) q^{66} +(0.656156 + 0.550580i) q^{67} +(2.23174 + 1.87265i) q^{68} +(2.66237 + 2.63517i) q^{69} +(-5.18896 - 1.88863i) q^{70} +(4.79788 - 8.31018i) q^{71} +(1.93547 - 2.35530i) q^{72} +(7.62091 + 13.1998i) q^{73} +(1.64171 + 9.31057i) q^{74} +(0.351434 + 3.79256i) q^{75} +(-14.4977 + 5.27674i) q^{76} +(-0.0535070 + 0.303453i) q^{77} +(-3.16030 + 4.56306i) q^{78} +(-8.59024 + 7.20807i) q^{79} +7.53771 q^{80} +(-6.77415 + 5.92544i) q^{81} -12.3721 q^{82} +(3.58886 - 3.01141i) q^{83} +(-2.37811 + 3.43369i) q^{84} +(-0.547303 + 3.10391i) q^{85} +(11.1203 - 4.04747i) q^{86} +(-0.703969 - 7.59698i) q^{87} +(0.0559194 + 0.317135i) q^{88} +(7.74976 + 13.4230i) q^{89} +(16.8080 + 2.78607i) q^{90} +(0.736071 - 1.27491i) q^{91} +(-5.04032 - 1.83453i) q^{92} +(-10.6769 - 10.5678i) q^{93} +(4.01476 + 3.36879i) q^{94} +(-12.7861 - 10.7288i) q^{95} +(3.50815 - 13.3667i) q^{96} +(5.21481 + 1.89804i) q^{97} +(-6.40762 + 11.0983i) q^{98} +(-0.00976156 - 0.950656i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 3 q^{5} - 6 q^{7} + 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 3 q^{5} - 6 q^{7} + 6 q^{8} - 3 q^{10} + 3 q^{11} + 12 q^{12} - 6 q^{13} + 15 q^{14} + 9 q^{15} + 9 q^{17} + 9 q^{18} - 3 q^{19} - 3 q^{20} - 12 q^{21} + 3 q^{22} - 12 q^{23} - 18 q^{24} + 3 q^{25} - 30 q^{26} - 9 q^{27} - 12 q^{28} - 6 q^{29} - 9 q^{30} + 3 q^{31} + 9 q^{34} + 12 q^{35} + 18 q^{36} - 3 q^{37} + 42 q^{38} + 33 q^{39} + 21 q^{40} + 15 q^{41} + 18 q^{42} + 3 q^{43} + 3 q^{44} - 9 q^{45} - 3 q^{46} - 15 q^{47} - 15 q^{48} + 12 q^{49} - 33 q^{50} - 18 q^{51} + 9 q^{52} - 18 q^{53} - 54 q^{54} - 12 q^{55} - 33 q^{56} - 3 q^{57} + 21 q^{58} - 12 q^{59} + 12 q^{61} - 12 q^{62} + 9 q^{63} + 12 q^{64} + 3 q^{65} - 9 q^{66} - 15 q^{67} + 9 q^{68} + 9 q^{69} - 15 q^{70} + 27 q^{71} + 18 q^{72} + 6 q^{73} + 33 q^{74} + 39 q^{75} - 48 q^{76} + 15 q^{77} + 18 q^{78} - 42 q^{79} + 42 q^{80} + 36 q^{81} - 12 q^{82} + 39 q^{83} + 6 q^{84} - 27 q^{85} + 51 q^{86} + 9 q^{87} - 30 q^{88} + 9 q^{89} + 18 q^{90} + 6 q^{91} - 39 q^{92} - 39 q^{93} - 15 q^{94} - 33 q^{95} + 3 q^{97} - 45 q^{98} - 27 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.62143 + 1.36054i −1.14652 + 0.962046i −0.999633 0.0271067i \(-0.991371\pi\)
−0.146889 + 0.989153i \(0.546926\pi\)
\(3\) −0.986166 + 1.42389i −0.569363 + 0.822086i
\(4\) 0.430663 2.44241i 0.215332 1.22121i
\(5\) 2.52129 0.917674i 1.12755 0.410396i 0.290150 0.956981i \(-0.406295\pi\)
0.837404 + 0.546585i \(0.184072\pi\)
\(6\) −0.338267 3.65046i −0.138097 1.49029i
\(7\) 0.168844 + 0.957561i 0.0638170 + 0.361924i 0.999947 + 0.0102706i \(0.00326930\pi\)
−0.936130 + 0.351653i \(0.885620\pi\)
\(8\) 0.508086 + 0.880031i 0.179636 + 0.311138i
\(9\) −1.05495 2.80839i −0.351651 0.936131i
\(10\) −2.83955 + 4.91825i −0.897945 + 1.55529i
\(11\) 0.297791 + 0.108387i 0.0897872 + 0.0326799i 0.386523 0.922280i \(-0.373676\pi\)
−0.296736 + 0.954960i \(0.595898\pi\)
\(12\) 3.05303 + 3.02185i 0.881335 + 0.872332i
\(13\) −1.15981 0.973200i −0.321675 0.269917i 0.467623 0.883928i \(-0.345111\pi\)
−0.789297 + 0.614011i \(0.789555\pi\)
\(14\) −1.57657 1.32290i −0.421355 0.353559i
\(15\) −1.17974 + 4.49503i −0.304607 + 1.16061i
\(16\) 2.63991 + 0.960847i 0.659977 + 0.240212i
\(17\) −0.587342 + 1.01731i −0.142451 + 0.246733i −0.928419 0.371534i \(-0.878832\pi\)
0.785968 + 0.618267i \(0.212165\pi\)
\(18\) 5.53146 + 3.11830i 1.30378 + 0.734991i
\(19\) −3.11040 5.38737i −0.713575 1.23595i −0.963507 0.267685i \(-0.913741\pi\)
0.249931 0.968264i \(-0.419592\pi\)
\(20\) −1.15551 6.55323i −0.258380 1.46535i
\(21\) −1.52997 0.703898i −0.333868 0.153603i
\(22\) −0.630310 + 0.229414i −0.134383 + 0.0489113i
\(23\) 0.375556 2.12988i 0.0783089 0.444112i −0.920292 0.391232i \(-0.872049\pi\)
0.998601 0.0528796i \(-0.0168399\pi\)
\(24\) −1.75413 0.144396i −0.358060 0.0294747i
\(25\) 1.68454 1.41350i 0.336909 0.282700i
\(26\) 3.20463 0.628480
\(27\) 5.03922 + 1.26740i 0.969797 + 0.243912i
\(28\) 2.41147 0.455726
\(29\) −3.37436 + 2.83142i −0.626602 + 0.525782i −0.899871 0.436156i \(-0.856340\pi\)
0.273269 + 0.961938i \(0.411895\pi\)
\(30\) −4.20280 8.89344i −0.767322 1.62371i
\(31\) −1.50609 + 8.54146i −0.270502 + 1.53409i 0.482395 + 0.875954i \(0.339767\pi\)
−0.752897 + 0.658138i \(0.771344\pi\)
\(32\) −7.49746 + 2.72885i −1.32538 + 0.482398i
\(33\) −0.448003 + 0.317135i −0.0779872 + 0.0552061i
\(34\) −0.431752 2.44859i −0.0740449 0.419930i
\(35\) 1.30443 + 2.25934i 0.220489 + 0.381899i
\(36\) −7.31359 + 1.36716i −1.21893 + 0.227859i
\(37\) 2.23332 3.86823i 0.367156 0.635933i −0.621964 0.783046i \(-0.713665\pi\)
0.989120 + 0.147113i \(0.0469982\pi\)
\(38\) 12.3730 + 4.50341i 2.00717 + 0.730550i
\(39\) 2.52950 0.691717i 0.405045 0.110763i
\(40\) 2.08861 + 1.75255i 0.330239 + 0.277103i
\(41\) 4.47767 + 3.75721i 0.699295 + 0.586778i 0.921573 0.388205i \(-0.126905\pi\)
−0.222278 + 0.974983i \(0.571349\pi\)
\(42\) 3.43842 0.940269i 0.530560 0.145087i
\(43\) −5.25381 1.91223i −0.801199 0.291613i −0.0912158 0.995831i \(-0.529075\pi\)
−0.709983 + 0.704219i \(0.751298\pi\)
\(44\) 0.392973 0.680649i 0.0592429 0.102612i
\(45\) −5.23703 6.11267i −0.780690 0.911223i
\(46\) 2.28885 + 3.96441i 0.337473 + 0.584521i
\(47\) −0.429965 2.43845i −0.0627168 0.355685i −0.999975 0.00704911i \(-0.997756\pi\)
0.937258 0.348636i \(-0.113355\pi\)
\(48\) −3.97153 + 2.81139i −0.573241 + 0.405790i
\(49\) 5.68943 2.07078i 0.812776 0.295826i
\(50\) −0.808243 + 4.58377i −0.114303 + 0.648243i
\(51\) −0.869320 1.83955i −0.121729 0.257588i
\(52\) −2.87645 + 2.41362i −0.398891 + 0.334710i
\(53\) −10.8920 −1.49613 −0.748063 0.663628i \(-0.769016\pi\)
−0.748063 + 0.663628i \(0.769016\pi\)
\(54\) −9.89507 + 4.80105i −1.34655 + 0.653340i
\(55\) 0.850279 0.114652
\(56\) −0.756896 + 0.635111i −0.101145 + 0.0848703i
\(57\) 10.7384 + 0.883963i 1.42234 + 0.117084i
\(58\) 1.61901 9.18189i 0.212587 1.20564i
\(59\) 1.62023 0.589715i 0.210936 0.0767743i −0.234391 0.972142i \(-0.575310\pi\)
0.445327 + 0.895368i \(0.353087\pi\)
\(60\) 10.4706 + 4.81725i 1.35175 + 0.621905i
\(61\) 0.176214 + 0.999361i 0.0225619 + 0.127955i 0.994008 0.109304i \(-0.0348621\pi\)
−0.971446 + 0.237259i \(0.923751\pi\)
\(62\) −9.17898 15.8985i −1.16573 2.01911i
\(63\) 2.51109 1.48436i 0.316367 0.187012i
\(64\) 5.63455 9.75933i 0.704319 1.21992i
\(65\) −3.81731 1.38939i −0.473478 0.172332i
\(66\) 0.294929 1.12374i 0.0363033 0.138322i
\(67\) 0.656156 + 0.550580i 0.0801622 + 0.0672641i 0.681988 0.731363i \(-0.261116\pi\)
−0.601826 + 0.798627i \(0.705560\pi\)
\(68\) 2.23174 + 1.87265i 0.270638 + 0.227092i
\(69\) 2.66237 + 2.63517i 0.320512 + 0.317238i
\(70\) −5.18896 1.88863i −0.620200 0.225734i
\(71\) 4.79788 8.31018i 0.569404 0.986237i −0.427221 0.904147i \(-0.640507\pi\)
0.996625 0.0820894i \(-0.0261593\pi\)
\(72\) 1.93547 2.35530i 0.228097 0.277574i
\(73\) 7.62091 + 13.1998i 0.891960 + 1.54492i 0.837522 + 0.546404i \(0.184004\pi\)
0.0544385 + 0.998517i \(0.482663\pi\)
\(74\) 1.64171 + 9.31057i 0.190844 + 1.08233i
\(75\) 0.351434 + 3.79256i 0.0405802 + 0.437927i
\(76\) −14.4977 + 5.27674i −1.66300 + 0.605284i
\(77\) −0.0535070 + 0.303453i −0.00609768 + 0.0345817i
\(78\) −3.16030 + 4.56306i −0.357833 + 0.516664i
\(79\) −8.59024 + 7.20807i −0.966478 + 0.810971i −0.981995 0.188908i \(-0.939505\pi\)
0.0155168 + 0.999880i \(0.495061\pi\)
\(80\) 7.53771 0.842741
\(81\) −6.77415 + 5.92544i −0.752684 + 0.658382i
\(82\) −12.3721 −1.36626
\(83\) 3.58886 3.01141i 0.393929 0.330546i −0.424212 0.905563i \(-0.639449\pi\)
0.818141 + 0.575017i \(0.195005\pi\)
\(84\) −2.37811 + 3.43369i −0.259474 + 0.374646i
\(85\) −0.547303 + 3.10391i −0.0593633 + 0.336666i
\(86\) 11.1203 4.04747i 1.19914 0.436450i
\(87\) −0.703969 7.59698i −0.0754734 0.814482i
\(88\) 0.0559194 + 0.317135i 0.00596103 + 0.0338067i
\(89\) 7.74976 + 13.4230i 0.821473 + 1.42283i 0.904586 + 0.426292i \(0.140180\pi\)
−0.0831130 + 0.996540i \(0.526486\pi\)
\(90\) 16.8080 + 2.78607i 1.77172 + 0.293677i
\(91\) 0.736071 1.27491i 0.0771612 0.133647i
\(92\) −5.04032 1.83453i −0.525490 0.191263i
\(93\) −10.6769 10.5678i −1.10714 1.09583i
\(94\) 4.01476 + 3.36879i 0.414091 + 0.347464i
\(95\) −12.7861 10.7288i −1.31182 1.10075i
\(96\) 3.50815 13.3667i 0.358049 1.36423i
\(97\) 5.21481 + 1.89804i 0.529484 + 0.192716i 0.592908 0.805270i \(-0.297980\pi\)
−0.0634241 + 0.997987i \(0.520202\pi\)
\(98\) −6.40762 + 11.0983i −0.647267 + 1.12110i
\(99\) −0.00976156 0.950656i −0.000981074 0.0955445i
\(100\) −2.72688 4.72309i −0.272688 0.472309i
\(101\) −1.76063 9.98501i −0.175189 0.993546i −0.937926 0.346836i \(-0.887256\pi\)
0.762737 0.646709i \(-0.223855\pi\)
\(102\) 3.91231 + 1.79995i 0.387377 + 0.178221i
\(103\) 9.25906 3.37002i 0.912323 0.332058i 0.157143 0.987576i \(-0.449772\pi\)
0.755180 + 0.655518i \(0.227549\pi\)
\(104\) 0.267160 1.51514i 0.0261972 0.148572i
\(105\) −4.50345 0.370714i −0.439492 0.0361780i
\(106\) 17.6605 14.8189i 1.71534 1.43934i
\(107\) 5.17080 0.499880 0.249940 0.968261i \(-0.419589\pi\)
0.249940 + 0.968261i \(0.419589\pi\)
\(108\) 5.26573 11.7620i 0.506695 1.13180i
\(109\) −7.31065 −0.700234 −0.350117 0.936706i \(-0.613858\pi\)
−0.350117 + 0.936706i \(0.613858\pi\)
\(110\) −1.37867 + 1.15684i −0.131451 + 0.110300i
\(111\) 3.30552 + 6.99473i 0.313746 + 0.663911i
\(112\) −0.474338 + 2.69010i −0.0448207 + 0.254191i
\(113\) −9.74991 + 3.54868i −0.917195 + 0.333832i −0.757122 0.653274i \(-0.773395\pi\)
−0.160073 + 0.987105i \(0.551173\pi\)
\(114\) −18.6142 + 13.1768i −1.74338 + 1.23412i
\(115\) −1.00765 5.71469i −0.0939642 0.532898i
\(116\) 5.46229 + 9.46096i 0.507161 + 0.878428i
\(117\) −1.50958 + 4.28390i −0.139561 + 0.396046i
\(118\) −1.82475 + 3.16056i −0.167982 + 0.290953i
\(119\) −1.07330 0.390650i −0.0983894 0.0358108i
\(120\) −4.55517 + 1.24565i −0.415828 + 0.113712i
\(121\) −8.34956 7.00611i −0.759051 0.636919i
\(122\) −1.64539 1.38064i −0.148966 0.124998i
\(123\) −9.76560 + 2.67050i −0.880535 + 0.240790i
\(124\) 20.2132 + 7.35699i 1.81520 + 0.660677i
\(125\) −3.75766 + 6.50846i −0.336095 + 0.582134i
\(126\) −2.05201 + 5.82321i −0.182808 + 0.518773i
\(127\) −2.61372 4.52709i −0.231930 0.401714i 0.726446 0.687223i \(-0.241171\pi\)
−0.958376 + 0.285509i \(0.907837\pi\)
\(128\) 1.37098 + 7.77522i 0.121179 + 0.687239i
\(129\) 7.90395 5.59510i 0.695904 0.492621i
\(130\) 8.07980 2.94081i 0.708645 0.257926i
\(131\) −1.25622 + 7.12440i −0.109757 + 0.622461i 0.879457 + 0.475979i \(0.157906\pi\)
−0.989213 + 0.146482i \(0.953205\pi\)
\(132\) 0.581636 + 1.23079i 0.0506249 + 0.107126i
\(133\) 4.63357 3.88802i 0.401781 0.337134i
\(134\) −1.81300 −0.156619
\(135\) 13.8684 1.42887i 1.19360 0.122977i
\(136\) −1.19368 −0.102357
\(137\) 8.61748 7.23092i 0.736241 0.617779i −0.195584 0.980687i \(-0.562660\pi\)
0.931825 + 0.362907i \(0.118216\pi\)
\(138\) −7.90210 0.650482i −0.672671 0.0553727i
\(139\) 1.62885 9.23766i 0.138157 0.783528i −0.834452 0.551081i \(-0.814216\pi\)
0.972609 0.232447i \(-0.0746733\pi\)
\(140\) 6.08002 2.21295i 0.513855 0.187028i
\(141\) 3.89612 + 1.79249i 0.328112 + 0.150955i
\(142\) 3.52690 + 20.0021i 0.295971 + 1.67854i
\(143\) −0.239900 0.415518i −0.0200614 0.0347474i
\(144\) −0.0865360 8.42754i −0.00721133 0.702295i
\(145\) −5.90940 + 10.2354i −0.490749 + 0.850003i
\(146\) −30.3156 11.0340i −2.50894 0.913179i
\(147\) −2.66215 + 10.1433i −0.219570 + 0.836605i
\(148\) −8.48600 7.12060i −0.697545 0.585310i
\(149\) 14.5941 + 12.2459i 1.19560 + 1.00322i 0.999745 + 0.0225899i \(0.00719121\pi\)
0.195851 + 0.980634i \(0.437253\pi\)
\(150\) −5.72975 5.67121i −0.467832 0.463053i
\(151\) −3.77193 1.37287i −0.306955 0.111723i 0.183950 0.982936i \(-0.441112\pi\)
−0.490905 + 0.871213i \(0.663334\pi\)
\(152\) 3.16070 5.47450i 0.256367 0.444041i
\(153\) 3.47661 + 0.576279i 0.281068 + 0.0465894i
\(154\) −0.326102 0.564825i −0.0262780 0.0455149i
\(155\) 4.04099 + 22.9176i 0.324580 + 1.84078i
\(156\) −0.600093 6.47599i −0.0480459 0.518494i
\(157\) −6.83713 + 2.48851i −0.545662 + 0.198605i −0.600118 0.799911i \(-0.704880\pi\)
0.0544560 + 0.998516i \(0.482658\pi\)
\(158\) 4.12159 23.3747i 0.327896 1.85959i
\(159\) 10.7413 15.5090i 0.851839 1.22994i
\(160\) −16.3991 + 13.7604i −1.29646 + 1.08786i
\(161\) 2.10290 0.165732
\(162\) 2.92200 18.8242i 0.229574 1.47897i
\(163\) 12.4492 0.975094 0.487547 0.873097i \(-0.337892\pi\)
0.487547 + 0.873097i \(0.337892\pi\)
\(164\) 11.1050 9.31823i 0.867157 0.727632i
\(165\) −0.838517 + 1.21071i −0.0652785 + 0.0942535i
\(166\) −1.72194 + 9.76558i −0.133648 + 0.757956i
\(167\) 2.19126 0.797553i 0.169565 0.0617165i −0.255843 0.966718i \(-0.582353\pi\)
0.425408 + 0.905002i \(0.360131\pi\)
\(168\) −0.157906 1.70407i −0.0121827 0.131472i
\(169\) −1.85937 10.5450i −0.143029 0.811157i
\(170\) −3.33558 5.77739i −0.255827 0.443106i
\(171\) −11.8485 + 14.4187i −0.906081 + 1.10262i
\(172\) −6.93308 + 12.0085i −0.528643 + 0.915636i
\(173\) 3.36623 + 1.22521i 0.255930 + 0.0931509i 0.466799 0.884363i \(-0.345407\pi\)
−0.210869 + 0.977514i \(0.567629\pi\)
\(174\) 11.4774 + 11.3602i 0.870101 + 0.861213i
\(175\) 1.63794 + 1.37439i 0.123816 + 0.103894i
\(176\) 0.681996 + 0.572262i 0.0514074 + 0.0431359i
\(177\) −0.758123 + 2.88859i −0.0569840 + 0.217120i
\(178\) −30.8281 11.2205i −2.31067 0.841014i
\(179\) 9.99785 17.3168i 0.747275 1.29432i −0.201850 0.979416i \(-0.564695\pi\)
0.949124 0.314901i \(-0.101971\pi\)
\(180\) −17.1851 + 10.1585i −1.28090 + 0.757168i
\(181\) −4.86616 8.42844i −0.361699 0.626481i 0.626542 0.779388i \(-0.284470\pi\)
−0.988241 + 0.152907i \(0.951136\pi\)
\(182\) 0.541082 + 3.06863i 0.0401077 + 0.227462i
\(183\) −1.59676 0.734626i −0.118036 0.0543051i
\(184\) 2.06518 0.751664i 0.152247 0.0554134i
\(185\) 2.08108 11.8024i 0.153004 0.867728i
\(186\) 31.6897 + 2.60862i 2.32360 + 0.191274i
\(187\) −0.285168 + 0.239284i −0.0208535 + 0.0174982i
\(188\) −6.14088 −0.447869
\(189\) −0.362776 + 5.03935i −0.0263881 + 0.366559i
\(190\) 35.3286 2.56301
\(191\) −13.6023 + 11.4137i −0.984227 + 0.825864i −0.984722 0.174135i \(-0.944287\pi\)
0.000494763 1.00000i \(0.499843\pi\)
\(192\) 8.33965 + 17.6473i 0.601862 + 1.27359i
\(193\) 1.83795 10.4235i 0.132299 0.750303i −0.844404 0.535706i \(-0.820045\pi\)
0.976703 0.214596i \(-0.0688435\pi\)
\(194\) −11.0378 + 4.01743i −0.792467 + 0.288434i
\(195\) 5.74284 4.06528i 0.411253 0.291120i
\(196\) −2.60748 14.7878i −0.186249 1.05627i
\(197\) −7.07945 12.2620i −0.504390 0.873628i −0.999987 0.00507615i \(-0.998384\pi\)
0.495597 0.868552i \(-0.334949\pi\)
\(198\) 1.30923 + 1.52814i 0.0930431 + 0.108600i
\(199\) −3.77010 + 6.53000i −0.267255 + 0.462899i −0.968152 0.250363i \(-0.919450\pi\)
0.700897 + 0.713263i \(0.252783\pi\)
\(200\) 2.09982 + 0.764271i 0.148479 + 0.0540421i
\(201\) −1.43105 + 0.391333i −0.100938 + 0.0276025i
\(202\) 16.4397 + 13.7946i 1.15669 + 0.970582i
\(203\) −3.28100 2.75308i −0.230281 0.193229i
\(204\) −4.86732 + 1.33101i −0.340780 + 0.0931896i
\(205\) 14.7374 + 5.36397i 1.02930 + 0.374636i
\(206\) −10.4278 + 18.0616i −0.726543 + 1.25841i
\(207\) −6.37775 + 1.19222i −0.443284 + 0.0828648i
\(208\) −2.12670 3.68356i −0.147460 0.255409i
\(209\) −0.342328 1.94144i −0.0236793 0.134292i
\(210\) 7.80639 5.52604i 0.538692 0.381333i
\(211\) −4.89922 + 1.78317i −0.337276 + 0.122758i −0.505106 0.863058i \(-0.668546\pi\)
0.167829 + 0.985816i \(0.446324\pi\)
\(212\) −4.69077 + 26.6027i −0.322163 + 1.82708i
\(213\) 7.10131 + 15.0269i 0.486573 + 1.02963i
\(214\) −8.38408 + 7.03508i −0.573124 + 0.480908i
\(215\) −15.0012 −1.02307
\(216\) 1.44500 + 5.07862i 0.0983199 + 0.345556i
\(217\) −8.43326 −0.572487
\(218\) 11.8537 9.94643i 0.802833 0.673657i
\(219\) −26.3106 2.16583i −1.77791 0.146353i
\(220\) 0.366184 2.07673i 0.0246881 0.140013i
\(221\) 1.67125 0.608285i 0.112420 0.0409177i
\(222\) −14.8763 6.84416i −0.998430 0.459350i
\(223\) 3.07250 + 17.4250i 0.205750 + 1.16686i 0.896256 + 0.443537i \(0.146277\pi\)
−0.690506 + 0.723326i \(0.742612\pi\)
\(224\) −3.87894 6.71853i −0.259173 0.448901i
\(225\) −5.74677 3.23969i −0.383118 0.215979i
\(226\) 10.9807 19.0191i 0.730423 1.26513i
\(227\) 14.8208 + 5.39434i 0.983692 + 0.358035i 0.783275 0.621676i \(-0.213548\pi\)
0.200418 + 0.979711i \(0.435770\pi\)
\(228\) 6.78365 25.8470i 0.449258 1.71176i
\(229\) −1.35350 1.13572i −0.0894415 0.0750504i 0.596971 0.802263i \(-0.296371\pi\)
−0.686412 + 0.727213i \(0.740815\pi\)
\(230\) 9.40889 + 7.89500i 0.620404 + 0.520581i
\(231\) −0.379318 0.375443i −0.0249573 0.0247024i
\(232\) −4.20620 1.53093i −0.276151 0.100511i
\(233\) 6.94920 12.0364i 0.455257 0.788529i −0.543446 0.839444i \(-0.682881\pi\)
0.998703 + 0.0509157i \(0.0162140\pi\)
\(234\) −3.38073 8.99987i −0.221005 0.588340i
\(235\) −3.32177 5.75347i −0.216688 0.375315i
\(236\) −0.742554 4.21123i −0.0483362 0.274128i
\(237\) −1.79212 19.3400i −0.116411 1.25627i
\(238\) 2.27177 0.826858i 0.147257 0.0535973i
\(239\) −3.44391 + 19.5314i −0.222768 + 1.26338i 0.644138 + 0.764909i \(0.277216\pi\)
−0.866906 + 0.498471i \(0.833895\pi\)
\(240\) −7.43343 + 10.7329i −0.479826 + 0.692806i
\(241\) 14.8419 12.4538i 0.956050 0.802221i −0.0242563 0.999706i \(-0.507722\pi\)
0.980306 + 0.197485i \(0.0632773\pi\)
\(242\) 23.0703 1.48301
\(243\) −1.75676 15.4892i −0.112696 0.993629i
\(244\) 2.51674 0.161118
\(245\) 12.4444 10.4421i 0.795043 0.667120i
\(246\) 12.2009 17.6165i 0.777901 1.12319i
\(247\) −1.63550 + 9.27540i −0.104065 + 0.590179i
\(248\) −8.28198 + 3.01439i −0.525906 + 0.191414i
\(249\) 0.748720 + 8.07992i 0.0474482 + 0.512044i
\(250\) −2.76224 15.6654i −0.174699 0.990769i
\(251\) 2.73786 + 4.74212i 0.172812 + 0.299320i 0.939402 0.342818i \(-0.111381\pi\)
−0.766590 + 0.642137i \(0.778048\pi\)
\(252\) −2.54399 6.77237i −0.160256 0.426619i
\(253\) 0.342689 0.593554i 0.0215447 0.0373164i
\(254\) 10.3972 + 3.78428i 0.652380 + 0.237447i
\(255\) −3.87991 3.84027i −0.242969 0.240487i
\(256\) 4.46383 + 3.74560i 0.278989 + 0.234100i
\(257\) −8.85943 7.43395i −0.552636 0.463717i 0.323196 0.946332i \(-0.395243\pi\)
−0.875833 + 0.482615i \(0.839687\pi\)
\(258\) −5.20333 + 19.8257i −0.323945 + 1.23429i
\(259\) 4.08115 + 1.48542i 0.253590 + 0.0922993i
\(260\) −5.03743 + 8.72508i −0.312408 + 0.541107i
\(261\) 11.5115 + 6.48951i 0.712546 + 0.401691i
\(262\) −7.65614 13.2608i −0.472998 0.819257i
\(263\) 1.12488 + 6.37952i 0.0693632 + 0.393378i 0.999648 + 0.0265395i \(0.00844878\pi\)
−0.930285 + 0.366839i \(0.880440\pi\)
\(264\) −0.506712 0.233124i −0.0311860 0.0143478i
\(265\) −27.4618 + 9.99526i −1.68696 + 0.614004i
\(266\) −2.22318 + 12.6083i −0.136312 + 0.773064i
\(267\) −26.7554 2.20245i −1.63741 0.134788i
\(268\) 1.62733 1.36549i 0.0994048 0.0834106i
\(269\) −13.8387 −0.843758 −0.421879 0.906652i \(-0.638629\pi\)
−0.421879 + 0.906652i \(0.638629\pi\)
\(270\) −20.5425 + 21.1853i −1.25018 + 1.28929i
\(271\) 1.94536 0.118172 0.0590860 0.998253i \(-0.481181\pi\)
0.0590860 + 0.998253i \(0.481181\pi\)
\(272\) −2.52800 + 2.12125i −0.153283 + 0.128619i
\(273\) 1.08945 + 2.30536i 0.0659366 + 0.139527i
\(274\) −4.13466 + 23.4488i −0.249784 + 1.41660i
\(275\) 0.654846 0.238344i 0.0394887 0.0143727i
\(276\) 7.58277 5.36774i 0.456429 0.323100i
\(277\) 2.16586 + 12.2832i 0.130134 + 0.738026i 0.978125 + 0.208016i \(0.0667007\pi\)
−0.847991 + 0.530010i \(0.822188\pi\)
\(278\) 9.92713 + 17.1943i 0.595390 + 1.03125i
\(279\) 25.5766 4.78114i 1.53123 0.286239i
\(280\) −1.32553 + 2.29588i −0.0792154 + 0.137205i
\(281\) −9.16752 3.33670i −0.546888 0.199051i 0.0537751 0.998553i \(-0.482875\pi\)
−0.600663 + 0.799502i \(0.705097\pi\)
\(282\) −8.75602 + 2.39442i −0.521414 + 0.142585i
\(283\) 20.3547 + 17.0797i 1.20996 + 1.01528i 0.999288 + 0.0377246i \(0.0120110\pi\)
0.210676 + 0.977556i \(0.432433\pi\)
\(284\) −18.2306 15.2973i −1.08179 0.907728i
\(285\) 27.8858 7.62565i 1.65181 0.451704i
\(286\) 0.954309 + 0.347340i 0.0564295 + 0.0205386i
\(287\) −2.84173 + 4.92202i −0.167742 + 0.290538i
\(288\) 15.5732 + 18.1770i 0.917657 + 1.07109i
\(289\) 7.81006 + 13.5274i 0.459415 + 0.795730i
\(290\) −4.34397 24.6359i −0.255087 1.44667i
\(291\) −7.84527 + 5.55356i −0.459898 + 0.325556i
\(292\) 35.5214 12.9287i 2.07873 0.756598i
\(293\) 2.12849 12.0712i 0.124347 0.705210i −0.857346 0.514741i \(-0.827888\pi\)
0.981693 0.190469i \(-0.0610008\pi\)
\(294\) −9.48386 20.0686i −0.553110 1.17042i
\(295\) 3.54389 2.97368i 0.206334 0.173134i
\(296\) 4.53888 0.263817
\(297\) 1.36326 + 0.923606i 0.0791044 + 0.0535930i
\(298\) −40.3243 −2.33592
\(299\) −2.50838 + 2.10478i −0.145063 + 0.121723i
\(300\) 9.41434 + 0.774967i 0.543537 + 0.0447427i
\(301\) 0.944004 5.35371i 0.0544115 0.308583i
\(302\) 7.98375 2.90585i 0.459413 0.167213i
\(303\) 15.9539 + 7.33993i 0.916526 + 0.421668i
\(304\) −3.03473 17.2108i −0.174053 0.987106i
\(305\) 1.36137 + 2.35797i 0.0779521 + 0.135017i
\(306\) −6.42113 + 3.79567i −0.367071 + 0.216984i
\(307\) 13.2370 22.9271i 0.755475 1.30852i −0.189663 0.981849i \(-0.560740\pi\)
0.945138 0.326671i \(-0.105927\pi\)
\(308\) 0.718114 + 0.261372i 0.0409184 + 0.0148931i
\(309\) −4.33242 + 16.5073i −0.246463 + 0.939070i
\(310\) −37.7324 31.6613i −2.14306 1.79824i
\(311\) −13.5280 11.3513i −0.767100 0.643673i 0.172865 0.984946i \(-0.444698\pi\)
−0.939964 + 0.341272i \(0.889142\pi\)
\(312\) 1.89394 + 1.87459i 0.107223 + 0.106128i
\(313\) −9.06541 3.29954i −0.512407 0.186501i 0.0728589 0.997342i \(-0.476788\pi\)
−0.585266 + 0.810841i \(0.699010\pi\)
\(314\) 7.70019 13.3371i 0.434547 0.752657i
\(315\) 4.96901 6.04686i 0.279972 0.340702i
\(316\) 13.9056 + 24.0852i 0.782250 + 1.35490i
\(317\) −0.644320 3.65412i −0.0361886 0.205236i 0.961352 0.275321i \(-0.0887841\pi\)
−0.997541 + 0.0700850i \(0.977673\pi\)
\(318\) 3.68439 + 39.7606i 0.206610 + 2.22967i
\(319\) −1.31174 + 0.477435i −0.0734434 + 0.0267312i
\(320\) 5.25044 29.7767i 0.293509 1.66457i
\(321\) −5.09927 + 7.36268i −0.284614 + 0.410945i
\(322\) −3.40971 + 2.86108i −0.190016 + 0.159442i
\(323\) 7.30748 0.406599
\(324\) 11.5550 + 19.0972i 0.641944 + 1.06095i
\(325\) −3.32937 −0.184680
\(326\) −20.1854 + 16.9376i −1.11797 + 0.938085i
\(327\) 7.20952 10.4096i 0.398687 0.575652i
\(328\) −1.03142 + 5.84948i −0.0569507 + 0.322983i
\(329\) 2.26237 0.823435i 0.124728 0.0453974i
\(330\) −0.287622 3.10391i −0.0158330 0.170865i
\(331\) −0.245329 1.39133i −0.0134845 0.0764745i 0.977323 0.211755i \(-0.0679177\pi\)
−0.990807 + 0.135280i \(0.956807\pi\)
\(332\) −5.80953 10.0624i −0.318839 0.552246i
\(333\) −13.2196 2.19126i −0.724427 0.120080i
\(334\) −2.46786 + 4.27446i −0.135035 + 0.233888i
\(335\) 2.15961 + 0.786034i 0.117992 + 0.0429456i
\(336\) −3.36265 3.32830i −0.183447 0.181573i
\(337\) −9.95097 8.34986i −0.542064 0.454846i 0.330179 0.943918i \(-0.392891\pi\)
−0.872243 + 0.489073i \(0.837335\pi\)
\(338\) 17.3618 + 14.5683i 0.944356 + 0.792409i
\(339\) 4.56209 17.3824i 0.247779 0.944084i
\(340\) 7.34533 + 2.67348i 0.398356 + 0.144990i
\(341\) −1.37428 + 2.38033i −0.0744215 + 0.128902i
\(342\) −0.405587 39.4992i −0.0219316 2.13587i
\(343\) 6.34669 + 10.9928i 0.342689 + 0.593555i
\(344\) −0.986567 5.59510i −0.0531921 0.301667i
\(345\) 9.13083 + 4.20084i 0.491587 + 0.226166i
\(346\) −7.12504 + 2.59330i −0.383045 + 0.139417i
\(347\) −0.833591 + 4.72753i −0.0447495 + 0.253787i −0.998973 0.0453070i \(-0.985573\pi\)
0.954224 + 0.299094i \(0.0966845\pi\)
\(348\) −18.8581 1.55236i −1.01090 0.0832152i
\(349\) −17.2954 + 14.5126i −0.925803 + 0.776841i −0.975059 0.221946i \(-0.928759\pi\)
0.0492565 + 0.998786i \(0.484315\pi\)
\(350\) −4.52571 −0.241909
\(351\) −4.61112 6.37412i −0.246123 0.340225i
\(352\) −2.52845 −0.134767
\(353\) −22.7565 + 19.0950i −1.21121 + 1.01632i −0.211972 + 0.977276i \(0.567988\pi\)
−0.999237 + 0.0390490i \(0.987567\pi\)
\(354\) −2.70080 5.71509i −0.143546 0.303754i
\(355\) 4.47081 25.3552i 0.237286 1.34572i
\(356\) 36.1220 13.1473i 1.91446 0.696807i
\(357\) 1.61470 1.14302i 0.0854589 0.0604952i
\(358\) 7.34937 + 41.6804i 0.388427 + 2.20288i
\(359\) −6.70991 11.6219i −0.354136 0.613381i 0.632834 0.774288i \(-0.281892\pi\)
−0.986970 + 0.160906i \(0.948558\pi\)
\(360\) 2.71848 7.71451i 0.143276 0.406590i
\(361\) −9.84920 + 17.0593i −0.518379 + 0.897858i
\(362\) 19.3573 + 7.04550i 1.01740 + 0.370303i
\(363\) 18.2100 4.97970i 0.955778 0.261366i
\(364\) −2.79686 2.34685i −0.146595 0.123008i
\(365\) 31.3276 + 26.2870i 1.63976 + 1.37592i
\(366\) 3.58852 0.981314i 0.187575 0.0512941i
\(367\) 7.47054 + 2.71905i 0.389959 + 0.141933i 0.529556 0.848275i \(-0.322359\pi\)
−0.139597 + 0.990208i \(0.544581\pi\)
\(368\) 3.03793 5.26184i 0.158363 0.274293i
\(369\) 5.82801 16.5387i 0.303394 0.860973i
\(370\) 12.6833 + 21.9681i 0.659372 + 1.14207i
\(371\) −1.83904 10.4297i −0.0954782 0.541484i
\(372\) −30.4091 + 21.5262i −1.57664 + 1.11608i
\(373\) 10.7318 3.90604i 0.555670 0.202247i −0.0488939 0.998804i \(-0.515570\pi\)
0.604564 + 0.796557i \(0.293347\pi\)
\(374\) 0.136823 0.775963i 0.00707496 0.0401241i
\(375\) −5.56168 11.7689i −0.287204 0.607745i
\(376\) 1.92745 1.61733i 0.0994009 0.0834072i
\(377\) 6.66917 0.343480
\(378\) −6.26801 8.66451i −0.322392 0.445654i
\(379\) −24.1705 −1.24155 −0.620777 0.783987i \(-0.713183\pi\)
−0.620777 + 0.783987i \(0.713183\pi\)
\(380\) −31.7106 + 26.6084i −1.62672 + 1.36498i
\(381\) 9.02366 + 0.742807i 0.462296 + 0.0380551i
\(382\) 6.52637 37.0129i 0.333918 1.89374i
\(383\) −8.87378 + 3.22979i −0.453429 + 0.165035i −0.558631 0.829416i \(-0.688673\pi\)
0.105202 + 0.994451i \(0.466451\pi\)
\(384\) −12.4231 5.71553i −0.633964 0.291669i
\(385\) 0.143564 + 0.814194i 0.00731672 + 0.0414952i
\(386\) 11.2015 + 19.4016i 0.570143 + 0.987516i
\(387\) 0.172220 + 16.7721i 0.00875442 + 0.852573i
\(388\) 6.88162 11.9193i 0.349361 0.605111i
\(389\) 2.39406 + 0.871367i 0.121384 + 0.0441801i 0.401998 0.915641i \(-0.368316\pi\)
−0.280614 + 0.959821i \(0.590538\pi\)
\(390\) −3.78063 + 14.4049i −0.191439 + 0.729420i
\(391\) 1.94617 + 1.63303i 0.0984218 + 0.0825857i
\(392\) 4.71308 + 3.95474i 0.238046 + 0.199745i
\(393\) −8.90554 8.81457i −0.449225 0.444636i
\(394\) 28.1617 + 10.2500i 1.41876 + 0.516388i
\(395\) −15.0438 + 26.0567i −0.756937 + 1.31105i
\(396\) −2.32610 0.385571i −0.116891 0.0193757i
\(397\) −1.83759 3.18279i −0.0922258 0.159740i 0.816222 0.577739i \(-0.196065\pi\)
−0.908447 + 0.417999i \(0.862731\pi\)
\(398\) −2.77138 15.7173i −0.138917 0.787836i
\(399\) 0.966669 + 10.4319i 0.0483940 + 0.522251i
\(400\) 5.80519 2.11292i 0.290260 0.105646i
\(401\) 2.80420 15.9034i 0.140035 0.794177i −0.831186 0.555995i \(-0.812337\pi\)
0.971220 0.238182i \(-0.0765516\pi\)
\(402\) 1.78791 2.58151i 0.0891731 0.128754i
\(403\) 10.0593 8.44078i 0.501091 0.420465i
\(404\) −25.1458 −1.25105
\(405\) −11.6420 + 21.1562i −0.578494 + 1.05126i
\(406\) 9.06558 0.449917
\(407\) 1.08433 0.909859i 0.0537481 0.0451000i
\(408\) 1.17717 1.69968i 0.0582785 0.0841465i
\(409\) 1.59443 9.04248i 0.0788396 0.447122i −0.919677 0.392676i \(-0.871550\pi\)
0.998517 0.0544462i \(-0.0173393\pi\)
\(410\) −31.1935 + 11.3535i −1.54054 + 0.560710i
\(411\) 1.79780 + 19.4013i 0.0886792 + 0.956994i
\(412\) −4.24345 24.0658i −0.209060 1.18564i
\(413\) 0.838253 + 1.45190i 0.0412477 + 0.0714432i
\(414\) 8.71900 10.6103i 0.428515 0.521466i
\(415\) 6.28506 10.8860i 0.308522 0.534375i
\(416\) 11.3514 + 4.13157i 0.556548 + 0.202567i
\(417\) 11.5471 + 11.4292i 0.565466 + 0.559689i
\(418\) 3.19646 + 2.68215i 0.156344 + 0.131188i
\(419\) −5.34613 4.48594i −0.261176 0.219152i 0.502791 0.864408i \(-0.332306\pi\)
−0.763967 + 0.645256i \(0.776751\pi\)
\(420\) −2.84491 + 10.8396i −0.138817 + 0.528920i
\(421\) −28.9525 10.5379i −1.41106 0.513584i −0.479619 0.877477i \(-0.659225\pi\)
−0.931441 + 0.363894i \(0.881447\pi\)
\(422\) 5.51765 9.55686i 0.268595 0.465221i
\(423\) −6.39454 + 3.77996i −0.310913 + 0.183788i
\(424\) −5.53405 9.58526i −0.268757 0.465502i
\(425\) 0.448559 + 2.54390i 0.0217583 + 0.123397i
\(426\) −31.9589 14.7034i −1.54842 0.712383i
\(427\) −0.927196 + 0.337472i −0.0448702 + 0.0163314i
\(428\) 2.22687 12.6292i 0.107640 0.610457i
\(429\) 0.828236 + 0.0681784i 0.0399876 + 0.00329169i
\(430\) 24.3233 20.4097i 1.17297 0.984242i
\(431\) 27.8971 1.34376 0.671879 0.740661i \(-0.265487\pi\)
0.671879 + 0.740661i \(0.265487\pi\)
\(432\) 12.0853 + 8.18774i 0.581453 + 0.393933i
\(433\) 19.1706 0.921278 0.460639 0.887588i \(-0.347620\pi\)
0.460639 + 0.887588i \(0.347620\pi\)
\(434\) 13.6739 11.4738i 0.656369 0.550759i
\(435\) −8.74646 18.5082i −0.419361 0.887398i
\(436\) −3.14843 + 17.8556i −0.150782 + 0.855130i
\(437\) −12.6426 + 4.60154i −0.604778 + 0.220121i
\(438\) 45.6075 32.2849i 2.17921 1.54263i
\(439\) −4.12397 23.3882i −0.196826 1.11626i −0.909794 0.415060i \(-0.863761\pi\)
0.712968 0.701197i \(-0.247351\pi\)
\(440\) 0.432015 + 0.748272i 0.0205955 + 0.0356725i
\(441\) −11.8177 13.7936i −0.562746 0.656838i
\(442\) −1.88221 + 3.26009i −0.0895278 + 0.155067i
\(443\) −21.9496 7.98900i −1.04286 0.379569i −0.236894 0.971536i \(-0.576129\pi\)
−0.805962 + 0.591967i \(0.798352\pi\)
\(444\) 18.5076 5.06108i 0.878332 0.240188i
\(445\) 31.8573 + 26.7314i 1.51018 + 1.26719i
\(446\) −28.6892 24.0731i −1.35847 1.13989i
\(447\) −31.8291 + 8.70396i −1.50546 + 0.411683i
\(448\) 10.2965 + 3.74762i 0.486464 + 0.177059i
\(449\) −2.40953 + 4.17343i −0.113713 + 0.196956i −0.917264 0.398279i \(-0.869608\pi\)
0.803552 + 0.595235i \(0.202941\pi\)
\(450\) 13.7257 2.56579i 0.647035 0.120953i
\(451\) 0.926176 + 1.60418i 0.0436119 + 0.0755380i
\(452\) 4.46841 + 25.3416i 0.210176 + 1.19197i
\(453\) 5.67457 4.01695i 0.266615 0.188733i
\(454\) −31.3701 + 11.4178i −1.47227 + 0.535863i
\(455\) 0.685893 3.88989i 0.0321552 0.182361i
\(456\) 4.67813 + 9.89928i 0.219074 + 0.463576i
\(457\) −3.74872 + 3.14555i −0.175358 + 0.147142i −0.726242 0.687439i \(-0.758735\pi\)
0.550885 + 0.834581i \(0.314290\pi\)
\(458\) 3.73978 0.174749
\(459\) −4.24908 + 4.38203i −0.198330 + 0.204535i
\(460\) −14.3916 −0.671012
\(461\) 21.4419 17.9919i 0.998650 0.837967i 0.0118535 0.999930i \(-0.496227\pi\)
0.986797 + 0.161963i \(0.0517824\pi\)
\(462\) 1.12584 + 0.0926768i 0.0523789 + 0.00431171i
\(463\) −4.77104 + 27.0579i −0.221729 + 1.25749i 0.647111 + 0.762396i \(0.275977\pi\)
−0.868840 + 0.495093i \(0.835134\pi\)
\(464\) −11.6285 + 4.23245i −0.539842 + 0.196486i
\(465\) −36.6173 16.8466i −1.69809 0.781243i
\(466\) 5.10832 + 28.9707i 0.236639 + 1.34204i
\(467\) 10.6232 + 18.4000i 0.491585 + 0.851450i 0.999953 0.00968963i \(-0.00308435\pi\)
−0.508368 + 0.861140i \(0.669751\pi\)
\(468\) 9.81292 + 5.53194i 0.453602 + 0.255714i
\(469\) −0.416426 + 0.721272i −0.0192288 + 0.0333052i
\(470\) 13.2138 + 4.80944i 0.609508 + 0.221843i
\(471\) 3.19917 12.1894i 0.147410 0.561659i
\(472\) 1.34218 + 1.12623i 0.0617790 + 0.0518387i
\(473\) −1.35728 1.13889i −0.0624076 0.0523662i
\(474\) 29.2186 + 28.9201i 1.34205 + 1.32834i
\(475\) −12.8547 4.67871i −0.589812 0.214674i
\(476\) −1.41636 + 2.45321i −0.0649188 + 0.112443i
\(477\) 11.4905 + 30.5889i 0.526113 + 1.40057i
\(478\) −20.9892 36.3543i −0.960022 1.66281i
\(479\) −7.23745 41.0456i −0.330688 1.87542i −0.466248 0.884654i \(-0.654394\pi\)
0.135560 0.990769i \(-0.456717\pi\)
\(480\) −3.42122 36.9206i −0.156157 1.68519i
\(481\) −6.35480 + 2.31296i −0.289754 + 0.105462i
\(482\) −7.12113 + 40.3859i −0.324358 + 1.83953i
\(483\) −2.07381 + 2.99431i −0.0943618 + 0.136246i
\(484\) −20.7077 + 17.3758i −0.941258 + 0.789809i
\(485\) 14.8898 0.676112
\(486\) 23.9220 + 22.7244i 1.08513 + 1.03080i
\(487\) 4.02801 0.182527 0.0912634 0.995827i \(-0.470909\pi\)
0.0912634 + 0.995827i \(0.470909\pi\)
\(488\) −0.789937 + 0.662836i −0.0357588 + 0.0300052i
\(489\) −12.2769 + 17.7263i −0.555183 + 0.801611i
\(490\) −5.97081 + 33.8622i −0.269734 + 1.52974i
\(491\) 36.2922 13.2093i 1.63784 0.596126i 0.651184 0.758920i \(-0.274273\pi\)
0.986660 + 0.162793i \(0.0520504\pi\)
\(492\) 2.31677 + 25.0017i 0.104448 + 1.12716i
\(493\) −0.898521 5.09577i −0.0404674 0.229502i
\(494\) −9.96769 17.2645i −0.448468 0.776769i
\(495\) −0.897004 2.38792i −0.0403173 0.107329i
\(496\) −12.1830 + 21.1015i −0.547032 + 0.947487i
\(497\) 8.76759 + 3.19114i 0.393280 + 0.143142i
\(498\) −12.2070 12.0823i −0.547011 0.541423i
\(499\) −3.11922 2.61734i −0.139636 0.117168i 0.570295 0.821440i \(-0.306829\pi\)
−0.709930 + 0.704272i \(0.751274\pi\)
\(500\) 14.2781 + 11.9807i 0.638534 + 0.535794i
\(501\) −1.02531 + 3.90664i −0.0458076 + 0.174536i
\(502\) −10.8911 3.96403i −0.486093 0.176923i
\(503\) 1.71297 2.96695i 0.0763775 0.132290i −0.825307 0.564684i \(-0.808998\pi\)
0.901684 + 0.432395i \(0.142331\pi\)
\(504\) 2.58213 + 1.45565i 0.115017 + 0.0648398i
\(505\) −13.6020 23.5594i −0.605282 1.04838i
\(506\) 0.251909 + 1.42865i 0.0111987 + 0.0635111i
\(507\) 16.8487 + 7.75161i 0.748276 + 0.344261i
\(508\) −12.1827 + 4.43412i −0.540518 + 0.196732i
\(509\) −2.12952 + 12.0771i −0.0943893 + 0.535308i 0.900543 + 0.434766i \(0.143169\pi\)
−0.994933 + 0.100542i \(0.967942\pi\)
\(510\) 11.5158 + 0.947957i 0.509930 + 0.0419762i
\(511\) −11.3529 + 9.52619i −0.502222 + 0.421414i
\(512\) −28.1241 −1.24292
\(513\) −8.84601 31.0903i −0.390561 1.37267i
\(514\) 24.4791 1.07973
\(515\) 20.2522 16.9936i 0.892418 0.748827i
\(516\) −10.2616 21.7143i −0.451742 0.955920i
\(517\) 0.136257 0.772750i 0.00599257 0.0339855i
\(518\) −8.63825 + 3.14407i −0.379543 + 0.138142i
\(519\) −5.06423 + 3.58490i −0.222295 + 0.157360i
\(520\) −0.716818 4.06528i −0.0314345 0.178274i
\(521\) −7.04117 12.1957i −0.308479 0.534302i 0.669551 0.742766i \(-0.266487\pi\)
−0.978030 + 0.208465i \(0.933153\pi\)
\(522\) −27.4943 + 5.13962i −1.20339 + 0.224955i
\(523\) −4.88956 + 8.46897i −0.213806 + 0.370322i −0.952902 0.303277i \(-0.901919\pi\)
0.739097 + 0.673599i \(0.235253\pi\)
\(524\) 16.8597 + 6.13643i 0.736520 + 0.268071i
\(525\) −3.57227 + 0.976870i −0.155906 + 0.0426341i
\(526\) −10.5035 8.81348i −0.457974 0.384286i
\(527\) −7.80469 6.54892i −0.339978 0.285275i
\(528\) −1.48740 + 0.406744i −0.0647309 + 0.0177013i
\(529\) 17.2176 + 6.26668i 0.748590 + 0.272464i
\(530\) 30.9283 53.5694i 1.34344 2.32691i
\(531\) −3.36541 3.92812i −0.146047 0.170466i
\(532\) −7.50065 12.9915i −0.325195 0.563254i
\(533\) −1.53675 8.71534i −0.0665640 0.377503i
\(534\) 46.3785 32.8307i 2.00699 1.42072i
\(535\) 13.0371 4.74511i 0.563642 0.205149i
\(536\) −0.151144 + 0.857180i −0.00652843 + 0.0370245i
\(537\) 14.7977 + 31.3131i 0.638569 + 1.35126i
\(538\) 22.4384 18.8280i 0.967387 0.811734i
\(539\) 1.91871 0.0826445
\(540\) 2.48272 34.4877i 0.106839 1.48411i
\(541\) 40.9454 1.76038 0.880189 0.474623i \(-0.157416\pi\)
0.880189 + 0.474623i \(0.157416\pi\)
\(542\) −3.15426 + 2.64674i −0.135487 + 0.113687i
\(543\) 16.8001 + 1.38294i 0.720959 + 0.0593477i
\(544\) 1.62750 9.22999i 0.0697783 0.395732i
\(545\) −18.4323 + 6.70879i −0.789551 + 0.287373i
\(546\) −4.90300 2.25573i −0.209829 0.0965365i
\(547\) 0.192798 + 1.09341i 0.00824343 + 0.0467508i 0.988652 0.150224i \(-0.0479994\pi\)
−0.980409 + 0.196975i \(0.936888\pi\)
\(548\) −13.9497 24.1615i −0.595900 1.03213i
\(549\) 2.62070 1.54916i 0.111849 0.0661164i
\(550\) −0.737508 + 1.27740i −0.0314474 + 0.0544686i
\(551\) 25.7495 + 9.37206i 1.09697 + 0.399263i
\(552\) −0.966321 + 3.68186i −0.0411293 + 0.156711i
\(553\) −8.35257 7.00864i −0.355188 0.298038i
\(554\) −20.2236 16.9696i −0.859216 0.720968i
\(555\) 14.7531 + 14.6023i 0.626232 + 0.619835i
\(556\) −21.8607 7.95664i −0.927100 0.337437i
\(557\) −17.5201 + 30.3458i −0.742352 + 1.28579i 0.209070 + 0.977901i \(0.432956\pi\)
−0.951422 + 0.307890i \(0.900377\pi\)
\(558\) −34.9657 + 42.5503i −1.48022 + 1.80130i
\(559\) 4.23247 + 7.33084i 0.179014 + 0.310062i
\(560\) 1.27269 + 7.21781i 0.0537812 + 0.305008i
\(561\) −0.0594925 0.642022i −0.00251178 0.0271062i
\(562\) 19.4042 7.06254i 0.818516 0.297915i
\(563\) −6.73255 + 38.1822i −0.283743 + 1.60919i 0.425998 + 0.904724i \(0.359923\pi\)
−0.709741 + 0.704463i \(0.751188\pi\)
\(564\) 6.05593 8.74396i 0.255001 0.368187i
\(565\) −21.3258 + 17.8945i −0.897183 + 0.752826i
\(566\) −56.2413 −2.36400
\(567\) −6.81774 5.48619i −0.286318 0.230398i
\(568\) 9.75095 0.409141
\(569\) −26.0213 + 21.8344i −1.09087 + 0.915347i −0.996777 0.0802169i \(-0.974439\pi\)
−0.0940904 + 0.995564i \(0.529994\pi\)
\(570\) −34.8399 + 50.3042i −1.45928 + 2.10701i
\(571\) 1.75191 9.93559i 0.0733153 0.415792i −0.925956 0.377631i \(-0.876739\pi\)
0.999272 0.0381610i \(-0.0121500\pi\)
\(572\) −1.11818 + 0.406986i −0.0467536 + 0.0170169i
\(573\) −2.83775 30.6240i −0.118549 1.27934i
\(574\) −2.08894 11.8470i −0.0871908 0.494484i
\(575\) −2.37795 4.11873i −0.0991674 0.171763i
\(576\) −33.3522 5.52842i −1.38968 0.230351i
\(577\) 6.06615 10.5069i 0.252537 0.437407i −0.711687 0.702497i \(-0.752068\pi\)
0.964224 + 0.265090i \(0.0854017\pi\)
\(578\) −31.0680 11.3078i −1.29226 0.470344i
\(579\) 13.0295 + 12.8964i 0.541487 + 0.535956i
\(580\) 22.4541 + 18.8412i 0.932355 + 0.782339i
\(581\) 3.48957 + 2.92810i 0.144772 + 0.121478i
\(582\) 5.16470 19.6785i 0.214084 0.815700i
\(583\) −3.24352 1.18055i −0.134333 0.0488932i
\(584\) −7.74416 + 13.4133i −0.320456 + 0.555046i
\(585\) 0.125131 + 12.1862i 0.00517353 + 0.503839i
\(586\) 12.9722 + 22.4685i 0.535877 + 0.928167i
\(587\) 5.51319 + 31.2669i 0.227554 + 1.29052i 0.857743 + 0.514079i \(0.171866\pi\)
−0.630189 + 0.776442i \(0.717023\pi\)
\(588\) 23.6276 + 10.8704i 0.974387 + 0.448288i
\(589\) 50.7006 18.4535i 2.08908 0.760363i
\(590\) −1.70036 + 9.64321i −0.0700027 + 0.397005i
\(591\) 24.4412 + 2.01195i 1.00538 + 0.0827605i
\(592\) 9.61254 8.06588i 0.395073 0.331506i
\(593\) 13.4906 0.553993 0.276996 0.960871i \(-0.410661\pi\)
0.276996 + 0.960871i \(0.410661\pi\)
\(594\) −3.46703 + 0.357210i −0.142254 + 0.0146565i
\(595\) −3.06459 −0.125636
\(596\) 36.1947 30.3710i 1.48259 1.24404i
\(597\) −5.58009 11.8079i −0.228378 0.483265i
\(598\) 1.20352 6.82550i 0.0492156 0.279115i
\(599\) 39.8715 14.5120i 1.62911 0.592946i 0.644020 0.765009i \(-0.277265\pi\)
0.985086 + 0.172063i \(0.0550432\pi\)
\(600\) −3.15901 + 2.23622i −0.128966 + 0.0912933i
\(601\) −3.43906 19.5039i −0.140282 0.795579i −0.971035 0.238938i \(-0.923201\pi\)
0.830753 0.556641i \(-0.187910\pi\)
\(602\) 5.75330 + 9.96501i 0.234487 + 0.406144i
\(603\) 0.854034 2.42358i 0.0347789 0.0986958i
\(604\) −4.97755 + 8.62136i −0.202533 + 0.350798i
\(605\) −27.4810 10.0022i −1.11726 0.406649i
\(606\) −35.8543 + 9.80470i −1.45648 + 0.398289i
\(607\) −27.5769 23.1397i −1.11931 0.939213i −0.120741 0.992684i \(-0.538527\pi\)
−0.998569 + 0.0534715i \(0.982971\pi\)
\(608\) 38.0215 + 31.9038i 1.54197 + 1.29387i
\(609\) 7.15571 1.95680i 0.289964 0.0792934i
\(610\) −5.41548 1.97107i −0.219266 0.0798064i
\(611\) −1.87442 + 3.24659i −0.0758310 + 0.131343i
\(612\) 2.90476 8.24315i 0.117418 0.333209i
\(613\) −13.2314 22.9175i −0.534411 0.925627i −0.999192 0.0402013i \(-0.987200\pi\)
0.464780 0.885426i \(-0.346133\pi\)
\(614\) 9.73045 + 55.1841i 0.392689 + 2.22705i
\(615\) −22.1712 + 15.6947i −0.894031 + 0.632872i
\(616\) −0.294234 + 0.107093i −0.0118550 + 0.00431488i
\(617\) 8.52903 48.3705i 0.343366 1.94732i 0.0239406 0.999713i \(-0.492379\pi\)
0.319425 0.947611i \(-0.396510\pi\)
\(618\) −15.4342 32.6599i −0.620853 1.31377i
\(619\) −18.5430 + 15.5595i −0.745307 + 0.625387i −0.934257 0.356600i \(-0.883936\pi\)
0.188950 + 0.981987i \(0.439492\pi\)
\(620\) 57.7145 2.31787
\(621\) 4.59193 10.2570i 0.184268 0.411598i
\(622\) 37.3785 1.49874
\(623\) −11.5448 + 9.68725i −0.462533 + 0.388111i
\(624\) 7.34229 + 0.604400i 0.293927 + 0.0241954i
\(625\) −5.41077 + 30.6860i −0.216431 + 1.22744i
\(626\) 19.1881 6.98388i 0.766909 0.279132i
\(627\) 3.10199 + 1.42714i 0.123882 + 0.0569945i
\(628\) 3.13347 + 17.7708i 0.125039 + 0.709132i
\(629\) 2.62345 + 4.54395i 0.104604 + 0.181179i
\(630\) 0.170094 + 16.5651i 0.00677671 + 0.659968i
\(631\) −8.84842 + 15.3259i −0.352250 + 0.610115i −0.986643 0.162895i \(-0.947917\pi\)
0.634393 + 0.773010i \(0.281250\pi\)
\(632\) −10.7079 3.89736i −0.425938 0.155029i
\(633\) 2.29240 8.73447i 0.0911147 0.347164i
\(634\) 6.01629 + 5.04827i 0.238937 + 0.200492i
\(635\) −10.7443 9.01555i −0.426375 0.357771i
\(636\) −33.2535 32.9138i −1.31859 1.30512i
\(637\) −8.61398 3.13523i −0.341298 0.124222i
\(638\) 1.47732 2.55880i 0.0584878 0.101304i
\(639\) −28.3998 4.70751i −1.12348 0.186226i
\(640\) 10.5917 + 18.3454i 0.418676 + 0.725167i
\(641\) 6.60738 + 37.4723i 0.260976 + 1.48007i 0.780254 + 0.625463i \(0.215090\pi\)
−0.519278 + 0.854605i \(0.673799\pi\)
\(642\) −1.74911 18.8758i −0.0690319 0.744968i
\(643\) −44.1115 + 16.0553i −1.73959 + 0.633158i −0.999237 0.0390615i \(-0.987563\pi\)
−0.740352 + 0.672220i \(0.765341\pi\)
\(644\) 0.905644 5.13616i 0.0356874 0.202393i
\(645\) 14.7937 21.3601i 0.582500 0.841053i
\(646\) −11.8485 + 9.94211i −0.466175 + 0.391167i
\(647\) −28.2333 −1.10997 −0.554983 0.831862i \(-0.687275\pi\)
−0.554983 + 0.831862i \(0.687275\pi\)
\(648\) −8.65643 2.95083i −0.340057 0.115920i
\(649\) 0.546406 0.0214483
\(650\) 5.39834 4.52974i 0.211740 0.177671i
\(651\) 8.31660 12.0081i 0.325953 0.470634i
\(652\) 5.36140 30.4060i 0.209969 1.19079i
\(653\) −33.1779 + 12.0758i −1.29835 + 0.472562i −0.896460 0.443125i \(-0.853870\pi\)
−0.401893 + 0.915687i \(0.631647\pi\)
\(654\) 2.47295 + 26.6872i 0.0967001 + 1.04355i
\(655\) 3.37057 + 19.1155i 0.131699 + 0.746902i
\(656\) 8.21052 + 14.2210i 0.320567 + 0.555239i
\(657\) 29.0306 35.3277i 1.13259 1.37826i
\(658\) −2.54795 + 4.41318i −0.0993295 + 0.172044i
\(659\) −39.1793 14.2601i −1.52621 0.555494i −0.563519 0.826103i \(-0.690553\pi\)
−0.962689 + 0.270609i \(0.912775\pi\)
\(660\) 2.59593 + 2.56941i 0.101046 + 0.100014i
\(661\) 0.975874 + 0.818856i 0.0379571 + 0.0318498i 0.661569 0.749884i \(-0.269891\pi\)
−0.623612 + 0.781734i \(0.714335\pi\)
\(662\) 2.29075 + 1.92216i 0.0890324 + 0.0747070i
\(663\) −0.781997 + 2.97956i −0.0303702 + 0.115716i
\(664\) 4.47359 + 1.62825i 0.173609 + 0.0631885i
\(665\) 8.11461 14.0549i 0.314671 0.545027i
\(666\) 24.4158 14.4328i 0.946095 0.559258i
\(667\) 4.76334 + 8.25035i 0.184437 + 0.319455i
\(668\) −1.00426 5.69543i −0.0388559 0.220363i
\(669\) −27.8413 12.8090i −1.07641 0.495226i
\(670\) −4.57108 + 1.66374i −0.176596 + 0.0642758i
\(671\) −0.0558427 + 0.316700i −0.00215578 + 0.0122261i
\(672\) 13.3918 + 1.10238i 0.516598 + 0.0425252i
\(673\) 27.2963 22.9043i 1.05219 0.882896i 0.0588715 0.998266i \(-0.481250\pi\)
0.993323 + 0.115370i \(0.0368053\pi\)
\(674\) 27.4951 1.05907
\(675\) 10.2802 4.98793i 0.395687 0.191986i
\(676\) −26.5561 −1.02139
\(677\) 13.7902 11.5714i 0.530002 0.444725i −0.338100 0.941110i \(-0.609784\pi\)
0.868102 + 0.496386i \(0.165340\pi\)
\(678\) 16.2524 + 34.3913i 0.624169 + 1.32079i
\(679\) −0.936996 + 5.31397i −0.0359586 + 0.203931i
\(680\) −3.00961 + 1.09541i −0.115413 + 0.0420071i
\(681\) −22.2968 + 15.7836i −0.854414 + 0.604828i
\(682\) −1.01023 5.72929i −0.0386836 0.219386i
\(683\) −19.8807 34.4344i −0.760715 1.31760i −0.942483 0.334255i \(-0.891515\pi\)
0.181768 0.983341i \(-0.441818\pi\)
\(684\) 30.1136 + 35.1486i 1.15142 + 1.34394i
\(685\) 15.0915 26.1393i 0.576617 0.998730i
\(686\) −25.2468 9.18909i −0.963928 0.350841i
\(687\) 2.95192 0.807229i 0.112623 0.0307977i
\(688\) −12.0322 10.0962i −0.458724 0.384915i
\(689\) 12.6327 + 10.6001i 0.481266 + 0.403830i
\(690\) −20.5204 + 5.61149i −0.781198 + 0.213626i
\(691\) 15.8251 + 5.75986i 0.602015 + 0.219115i 0.625006 0.780620i \(-0.285097\pi\)
−0.0229909 + 0.999736i \(0.507319\pi\)
\(692\) 4.44218 7.69408i 0.168866 0.292485i
\(693\) 0.908663 0.169860i 0.0345173 0.00645244i
\(694\) −5.08038 8.79948i −0.192849 0.334024i
\(695\) −4.37036 24.7855i −0.165777 0.940169i
\(696\) 6.32790 4.47944i 0.239859 0.169793i
\(697\) −6.45216 + 2.34839i −0.244393 + 0.0889518i
\(698\) 8.29833 47.0622i 0.314097 1.78133i
\(699\) 10.2854 + 21.7648i 0.389031 + 0.823220i
\(700\) 4.06223 3.40862i 0.153538 0.128834i
\(701\) −8.96921 −0.338762 −0.169381 0.985551i \(-0.554177\pi\)
−0.169381 + 0.985551i \(0.554177\pi\)
\(702\) 16.1488 + 4.06156i 0.609498 + 0.153294i
\(703\) −27.7861 −1.04797
\(704\) 2.73570 2.29552i 0.103106 0.0865158i
\(705\) 11.4682 + 0.944032i 0.431916 + 0.0355543i
\(706\) 10.9186 61.9223i 0.410926 2.33048i
\(707\) 9.26398 3.37181i 0.348408 0.126810i
\(708\) 6.72864 + 3.09566i 0.252878 + 0.116342i
\(709\) 3.15026 + 17.8660i 0.118311 + 0.670973i 0.985058 + 0.172225i \(0.0550955\pi\)
−0.866747 + 0.498748i \(0.833793\pi\)
\(710\) 27.2477 + 47.1944i 1.02259 + 1.77117i
\(711\) 29.3054 + 16.5206i 1.09904 + 0.619572i
\(712\) −7.87509 + 13.6401i −0.295131 + 0.511183i
\(713\) 17.6267 + 6.41560i 0.660125 + 0.240266i
\(714\) −1.06299 + 4.05019i −0.0397814 + 0.151574i
\(715\) −0.986166 0.827492i −0.0368805 0.0309464i
\(716\) −37.9890 31.8766i −1.41972 1.19128i
\(717\) −24.4144 24.1650i −0.911771 0.902457i
\(718\) 26.6917 + 9.71498i 0.996125 + 0.362560i
\(719\) −15.7860 + 27.3421i −0.588718 + 1.01969i 0.405683 + 0.914014i \(0.367034\pi\)
−0.994401 + 0.105675i \(0.966300\pi\)
\(720\) −7.95192 21.1688i −0.296350 0.788916i
\(721\) 4.79034 + 8.29711i 0.178402 + 0.309001i
\(722\) −7.24010 41.0606i −0.269449 1.52812i
\(723\) 3.09636 + 33.4148i 0.115155 + 1.24271i
\(724\) −22.6814 + 8.25536i −0.842948 + 0.306808i
\(725\) −1.68204 + 9.53930i −0.0624693 + 0.354281i
\(726\) −22.7511 + 32.8497i −0.844374 + 1.21916i
\(727\) 29.4232 24.6890i 1.09125 0.915664i 0.0944407 0.995530i \(-0.469894\pi\)
0.996806 + 0.0798662i \(0.0254493\pi\)
\(728\) 1.49595 0.0554436
\(729\) 23.7874 + 12.7734i 0.881014 + 0.473090i
\(730\) −86.5599 −3.20373
\(731\) 5.03111 4.22160i 0.186082 0.156142i
\(732\) −2.48193 + 3.58358i −0.0917346 + 0.132453i
\(733\) −5.26680 + 29.8695i −0.194534 + 1.10326i 0.718547 + 0.695478i \(0.244807\pi\)
−0.913081 + 0.407778i \(0.866304\pi\)
\(734\) −15.8123 + 5.75521i −0.583643 + 0.212429i
\(735\) 2.59619 + 28.0171i 0.0957618 + 1.03343i
\(736\) 2.99643 + 16.9936i 0.110450 + 0.626391i
\(737\) 0.135721 + 0.235076i 0.00499936 + 0.00865915i
\(738\) 13.0519 + 34.7456i 0.480448 + 1.27900i
\(739\) −5.00127 + 8.66245i −0.183975 + 0.318653i −0.943230 0.332139i \(-0.892230\pi\)
0.759256 + 0.650792i \(0.225563\pi\)
\(740\) −27.9300 10.1657i −1.02673 0.373699i
\(741\) −11.5943 11.4759i −0.425928 0.421577i
\(742\) 17.1719 + 14.4089i 0.630400 + 0.528969i
\(743\) 27.7873 + 23.3163i 1.01942 + 0.855394i 0.989554 0.144160i \(-0.0460481\pi\)
0.0298642 + 0.999554i \(0.490493\pi\)
\(744\) 3.87523 14.7654i 0.142073 0.541324i
\(745\) 48.0337 + 17.4828i 1.75982 + 0.640521i
\(746\) −12.0865 + 20.9344i −0.442517 + 0.766461i
\(747\) −12.2433 6.90205i −0.447960 0.252533i
\(748\) 0.461619 + 0.799548i 0.0168785 + 0.0292344i
\(749\) 0.873058 + 4.95136i 0.0319008 + 0.180919i
\(750\) 25.0299 + 11.5156i 0.913964 + 0.420490i
\(751\) 13.6766 4.97788i 0.499067 0.181646i −0.0802073 0.996778i \(-0.525558\pi\)
0.579274 + 0.815133i \(0.303336\pi\)
\(752\) 1.20791 6.85041i 0.0440480 0.249809i
\(753\) −9.45226 0.778089i −0.344460 0.0283551i
\(754\) −10.8136 + 9.07366i −0.393807 + 0.330443i
\(755\) −10.7700 −0.391959
\(756\) 12.1519 + 3.05631i 0.441962 + 0.111157i
\(757\) −45.5754 −1.65646 −0.828232 0.560385i \(-0.810653\pi\)
−0.828232 + 0.560385i \(0.810653\pi\)
\(758\) 39.1907 32.8849i 1.42347 1.19443i
\(759\) 0.507211 + 1.07330i 0.0184106 + 0.0389582i
\(760\) 2.94524 16.7033i 0.106835 0.605892i
\(761\) −20.9040 + 7.60843i −0.757769 + 0.275805i −0.691871 0.722021i \(-0.743213\pi\)
−0.0658978 + 0.997826i \(0.520991\pi\)
\(762\) −15.6418 + 11.0726i −0.566643 + 0.401119i
\(763\) −1.23436 7.00040i −0.0446868 0.253431i
\(764\) 22.0189 + 38.1379i 0.796616 + 1.37978i