Properties

Label 27.2.e.a.4.1
Level $27$
Weight $2$
Character 27.4
Analytic conductor $0.216$
Analytic rank $0$
Dimension $12$
Inner twists $2$

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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 4.1
Root \(0.500000 - 1.27297i\) of defining polynomial
Character \(\chi\) \(=\) 27.4
Dual form 27.2.e.a.7.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.57954 - 0.574906i) q^{2} +(1.45446 - 0.940501i) q^{3} +(0.632343 + 0.530599i) q^{4} +(-0.196143 + 1.11238i) q^{5} +(-2.83808 + 0.649381i) q^{6} +(-2.99441 + 2.51261i) q^{7} +(0.987144 + 1.70978i) q^{8} +(1.23092 - 2.73584i) q^{9} +O(q^{10})\) \(q+(-1.57954 - 0.574906i) q^{2} +(1.45446 - 0.940501i) q^{3} +(0.632343 + 0.530599i) q^{4} +(-0.196143 + 1.11238i) q^{5} +(-2.83808 + 0.649381i) q^{6} +(-2.99441 + 2.51261i) q^{7} +(0.987144 + 1.70978i) q^{8} +(1.23092 - 2.73584i) q^{9} +(0.949332 - 1.64429i) q^{10} +(-0.324801 - 1.84204i) q^{11} +(1.41875 + 0.177016i) q^{12} +(0.688417 - 0.250563i) q^{13} +(6.17430 - 2.24726i) q^{14} +(0.760915 + 1.80239i) q^{15} +(-0.862951 - 4.89404i) q^{16} +(-0.944822 + 1.63648i) q^{17} +(-3.51713 + 3.61372i) q^{18} +(-1.37143 - 2.37538i) q^{19} +(-0.714260 + 0.599335i) q^{20} +(-1.99214 + 6.47073i) q^{21} +(-0.545962 + 3.09631i) q^{22} +(-4.46428 - 3.74597i) q^{23} +(3.04382 + 1.55840i) q^{24} +(3.49954 + 1.27373i) q^{25} -1.23143 q^{26} +(-0.782746 - 5.13686i) q^{27} -3.22668 q^{28} +(4.99910 + 1.81953i) q^{29} +(-0.165691 - 3.28441i) q^{30} +(1.02696 + 0.861722i) q^{31} +(-0.764882 + 4.33786i) q^{32} +(-2.20485 - 2.37370i) q^{33} +(2.43321 - 2.04170i) q^{34} +(-2.20765 - 3.82376i) q^{35} +(2.23000 - 1.07687i) q^{36} +(-1.69806 + 2.94112i) q^{37} +(0.800605 + 4.54046i) q^{38} +(0.765621 - 1.01189i) q^{39} +(-2.09556 + 0.762721i) q^{40} +(-1.68800 + 0.614382i) q^{41} +(6.86673 - 9.07549i) q^{42} +(0.873477 + 4.95373i) q^{43} +(0.771999 - 1.33714i) q^{44} +(2.80187 + 1.90587i) q^{45} +(4.89793 + 8.48346i) q^{46} +(1.30892 - 1.09832i) q^{47} +(-5.85798 - 6.30658i) q^{48} +(1.43775 - 8.15389i) q^{49} +(-4.79539 - 4.02381i) q^{50} +(0.164904 + 3.26880i) q^{51} +(0.568265 + 0.206831i) q^{52} +2.84494 q^{53} +(-1.71683 + 8.56388i) q^{54} +2.11276 q^{55} +(-7.25193 - 2.63949i) q^{56} +(-4.22874 - 2.16507i) q^{57} +(-6.85023 - 5.74803i) q^{58} +(-1.95529 + 11.0890i) q^{59} +(-0.475188 + 1.54347i) q^{60} +(4.00710 - 3.36235i) q^{61} +(-1.12672 - 1.95153i) q^{62} +(3.18824 + 11.2850i) q^{63} +(-1.26751 + 2.19540i) q^{64} +(0.143694 + 0.814930i) q^{65} +(2.11800 + 5.01694i) q^{66} +(1.77511 - 0.646086i) q^{67} +(-1.46577 + 0.533495i) q^{68} +(-10.0162 - 1.24972i) q^{69} +(1.28877 + 7.30898i) q^{70} +(6.09193 - 10.5515i) q^{71} +(5.89280 - 0.596074i) q^{72} +(-4.94384 - 8.56298i) q^{73} +(4.37302 - 3.66940i) q^{74} +(6.28788 - 1.43873i) q^{75} +(0.393163 - 2.22974i) q^{76} +(5.60091 + 4.69972i) q^{77} +(-1.79107 + 1.15816i) q^{78} +(-11.6079 - 4.22493i) q^{79} +5.61331 q^{80} +(-5.96969 - 6.73519i) q^{81} +3.01948 q^{82} +(10.9786 + 3.99588i) q^{83} +(-4.69308 + 3.03470i) q^{84} +(-1.63507 - 1.37199i) q^{85} +(1.46824 - 8.32679i) q^{86} +(8.98227 - 2.05523i) q^{87} +(2.82886 - 2.37370i) q^{88} +(2.86437 + 4.96123i) q^{89} +(-3.32998 - 4.62121i) q^{90} +(-1.43183 + 2.48001i) q^{91} +(-0.835346 - 4.73748i) q^{92} +(2.30412 + 0.287484i) q^{93} +(-2.69893 + 0.982329i) q^{94} +(2.91133 - 1.05964i) q^{95} +(2.96727 + 7.02862i) q^{96} +(-0.0596270 - 0.338162i) q^{97} +(-6.95870 + 12.0528i) q^{98} +(-5.43934 - 1.37879i) 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.57954 0.574906i −1.11690 0.406520i −0.283383 0.959007i \(-0.591457\pi\)
−0.833521 + 0.552487i \(0.813679\pi\)
\(3\) 1.45446 0.940501i 0.839734 0.542999i
\(4\) 0.632343 + 0.530599i 0.316172 + 0.265300i
\(5\) −0.196143 + 1.11238i −0.0877179 + 0.497473i 0.909019 + 0.416755i \(0.136833\pi\)
−0.996737 + 0.0807185i \(0.974279\pi\)
\(6\) −2.83808 + 0.649381i −1.15864 + 0.265109i
\(7\) −2.99441 + 2.51261i −1.13178 + 0.949676i −0.999139 0.0414879i \(-0.986790\pi\)
−0.132641 + 0.991164i \(0.542346\pi\)
\(8\) 0.987144 + 1.70978i 0.349008 + 0.604500i
\(9\) 1.23092 2.73584i 0.410305 0.911948i
\(10\) 0.949332 1.64429i 0.300205 0.519971i
\(11\) −0.324801 1.84204i −0.0979313 0.555396i −0.993810 0.111096i \(-0.964564\pi\)
0.895878 0.444299i \(-0.146547\pi\)
\(12\) 1.41875 + 0.177016i 0.409557 + 0.0511002i
\(13\) 0.688417 0.250563i 0.190932 0.0694937i −0.244784 0.969578i \(-0.578717\pi\)
0.435717 + 0.900084i \(0.356495\pi\)
\(14\) 6.17430 2.24726i 1.65015 0.600606i
\(15\) 0.760915 + 1.80239i 0.196467 + 0.465376i
\(16\) −0.862951 4.89404i −0.215738 1.22351i
\(17\) −0.944822 + 1.63648i −0.229153 + 0.396905i −0.957557 0.288243i \(-0.906929\pi\)
0.728404 + 0.685147i \(0.240262\pi\)
\(18\) −3.51713 + 3.61372i −0.828997 + 0.851761i
\(19\) −1.37143 2.37538i −0.314627 0.544950i 0.664731 0.747083i \(-0.268546\pi\)
−0.979358 + 0.202133i \(0.935213\pi\)
\(20\) −0.714260 + 0.599335i −0.159713 + 0.134015i
\(21\) −1.99214 + 6.47073i −0.434721 + 1.41203i
\(22\) −0.545962 + 3.09631i −0.116400 + 0.660135i
\(23\) −4.46428 3.74597i −0.930866 0.781089i 0.0451066 0.998982i \(-0.485637\pi\)
−0.975973 + 0.217893i \(0.930082\pi\)
\(24\) 3.04382 + 1.55840i 0.621317 + 0.318108i
\(25\) 3.49954 + 1.27373i 0.699908 + 0.254746i
\(26\) −1.23143 −0.241504
\(27\) −0.782746 5.13686i −0.150640 0.988589i
\(28\) −3.22668 −0.609786
\(29\) 4.99910 + 1.81953i 0.928310 + 0.337877i 0.761540 0.648118i \(-0.224444\pi\)
0.166771 + 0.985996i \(0.446666\pi\)
\(30\) −0.165691 3.28441i −0.0302509 0.599648i
\(31\) 1.02696 + 0.861722i 0.184447 + 0.154770i 0.730336 0.683088i \(-0.239363\pi\)
−0.545889 + 0.837858i \(0.683808\pi\)
\(32\) −0.764882 + 4.33786i −0.135213 + 0.766833i
\(33\) −2.20485 2.37370i −0.383815 0.413208i
\(34\) 2.43321 2.04170i 0.417291 0.350149i
\(35\) −2.20765 3.82376i −0.373161 0.646334i
\(36\) 2.23000 1.07687i 0.371666 0.179478i
\(37\) −1.69806 + 2.94112i −0.279159 + 0.483517i −0.971176 0.238364i \(-0.923389\pi\)
0.692017 + 0.721881i \(0.256722\pi\)
\(38\) 0.800605 + 4.54046i 0.129875 + 0.736559i
\(39\) 0.765621 1.01189i 0.122597 0.162032i
\(40\) −2.09556 + 0.762721i −0.331337 + 0.120597i
\(41\) −1.68800 + 0.614382i −0.263621 + 0.0959503i −0.470449 0.882427i \(-0.655908\pi\)
0.206828 + 0.978377i \(0.433686\pi\)
\(42\) 6.86673 9.07549i 1.05956 1.40038i
\(43\) 0.873477 + 4.95373i 0.133204 + 0.755437i 0.976094 + 0.217351i \(0.0697415\pi\)
−0.842890 + 0.538087i \(0.819147\pi\)
\(44\) 0.771999 1.33714i 0.116383 0.201582i
\(45\) 2.80187 + 1.90587i 0.417679 + 0.284110i
\(46\) 4.89793 + 8.48346i 0.722160 + 1.25082i
\(47\) 1.30892 1.09832i 0.190926 0.160206i −0.542314 0.840176i \(-0.682452\pi\)
0.733240 + 0.679970i \(0.238007\pi\)
\(48\) −5.85798 6.30658i −0.845526 0.910277i
\(49\) 1.43775 8.15389i 0.205393 1.16484i
\(50\) −4.79539 4.02381i −0.678170 0.569053i
\(51\) 0.164904 + 3.26880i 0.0230912 + 0.457724i
\(52\) 0.568265 + 0.206831i 0.0788041 + 0.0286824i
\(53\) 2.84494 0.390783 0.195391 0.980725i \(-0.437402\pi\)
0.195391 + 0.980725i \(0.437402\pi\)
\(54\) −1.71683 + 8.56388i −0.233631 + 1.16540i
\(55\) 2.11276 0.284885
\(56\) −7.25193 2.63949i −0.969080 0.352716i
\(57\) −4.22874 2.16507i −0.560110 0.286771i
\(58\) −6.85023 5.74803i −0.899480 0.754753i
\(59\) −1.95529 + 11.0890i −0.254557 + 1.44366i 0.542652 + 0.839958i \(0.317420\pi\)
−0.797208 + 0.603704i \(0.793691\pi\)
\(60\) −0.475188 + 1.54347i −0.0613465 + 0.199261i
\(61\) 4.00710 3.36235i 0.513056 0.430505i −0.349147 0.937068i \(-0.613529\pi\)
0.862203 + 0.506563i \(0.169084\pi\)
\(62\) −1.12672 1.95153i −0.143093 0.247844i
\(63\) 3.18824 + 11.2850i 0.401680 + 1.42178i
\(64\) −1.26751 + 2.19540i −0.158439 + 0.274425i
\(65\) 0.143694 + 0.814930i 0.0178231 + 0.101080i
\(66\) 2.11800 + 5.01694i 0.260708 + 0.617542i
\(67\) 1.77511 0.646086i 0.216864 0.0789319i −0.231304 0.972882i \(-0.574299\pi\)
0.448167 + 0.893950i \(0.352077\pi\)
\(68\) −1.46577 + 0.533495i −0.177750 + 0.0646958i
\(69\) −10.0162 1.24972i −1.20581 0.150448i
\(70\) 1.28877 + 7.30898i 0.154038 + 0.873590i
\(71\) 6.09193 10.5515i 0.722980 1.25224i −0.236821 0.971553i \(-0.576105\pi\)
0.959800 0.280684i \(-0.0905613\pi\)
\(72\) 5.89280 0.596074i 0.694473 0.0702480i
\(73\) −4.94384 8.56298i −0.578633 1.00222i −0.995637 0.0933164i \(-0.970253\pi\)
0.417004 0.908905i \(-0.363080\pi\)
\(74\) 4.37302 3.66940i 0.508353 0.426559i
\(75\) 6.28788 1.43873i 0.726062 0.166130i
\(76\) 0.393163 2.22974i 0.0450989 0.255768i
\(77\) 5.60091 + 4.69972i 0.638283 + 0.535583i
\(78\) −1.79107 + 1.15816i −0.202799 + 0.131136i
\(79\) −11.6079 4.22493i −1.30599 0.475342i −0.407048 0.913407i \(-0.633442\pi\)
−0.898943 + 0.438065i \(0.855664\pi\)
\(80\) 5.61331 0.627587
\(81\) −5.96969 6.73519i −0.663299 0.748354i
\(82\) 3.01948 0.333445
\(83\) 10.9786 + 3.99588i 1.20506 + 0.438605i 0.864986 0.501796i \(-0.167327\pi\)
0.340070 + 0.940400i \(0.389549\pi\)
\(84\) −4.69308 + 3.03470i −0.512057 + 0.331113i
\(85\) −1.63507 1.37199i −0.177349 0.148813i
\(86\) 1.46824 8.32679i 0.158324 0.897901i
\(87\) 8.98227 2.05523i 0.963000 0.220344i
\(88\) 2.82886 2.37370i 0.301558 0.253037i
\(89\) 2.86437 + 4.96123i 0.303622 + 0.525889i 0.976954 0.213452i \(-0.0684706\pi\)
−0.673331 + 0.739341i \(0.735137\pi\)
\(90\) −3.32998 4.62121i −0.351011 0.487118i
\(91\) −1.43183 + 2.48001i −0.150097 + 0.259976i
\(92\) −0.835346 4.73748i −0.0870908 0.493917i
\(93\) 2.30412 + 0.287484i 0.238926 + 0.0298107i
\(94\) −2.69893 + 0.982329i −0.278373 + 0.101319i
\(95\) 2.91133 1.05964i 0.298697 0.108717i
\(96\) 2.96727 + 7.02862i 0.302846 + 0.717356i
\(97\) −0.0596270 0.338162i −0.00605421 0.0343351i 0.981631 0.190789i \(-0.0611047\pi\)
−0.987685 + 0.156454i \(0.949994\pi\)
\(98\) −6.95870 + 12.0528i −0.702935 + 1.21752i
\(99\) −5.43934 1.37879i −0.546674 0.138574i
\(100\) 1.53707 + 2.66228i 0.153707 + 0.266228i
\(101\) −13.3309 + 11.1860i −1.32647 + 1.11304i −0.341586 + 0.939850i \(0.610964\pi\)
−0.984888 + 0.173194i \(0.944591\pi\)
\(102\) 1.61878 5.25801i 0.160283 0.520621i
\(103\) −2.74590 + 15.5728i −0.270561 + 1.53443i 0.482155 + 0.876086i \(0.339854\pi\)
−0.752717 + 0.658345i \(0.771257\pi\)
\(104\) 1.10798 + 0.929702i 0.108646 + 0.0911648i
\(105\) −6.80719 3.48522i −0.664314 0.340122i
\(106\) −4.49370 1.63557i −0.436467 0.158861i
\(107\) −16.5298 −1.59800 −0.798999 0.601332i \(-0.794637\pi\)
−0.798999 + 0.601332i \(0.794637\pi\)
\(108\) 2.23065 3.66358i 0.214644 0.352528i
\(109\) −4.71844 −0.451945 −0.225972 0.974134i \(-0.572556\pi\)
−0.225972 + 0.974134i \(0.572556\pi\)
\(110\) −3.33719 1.21464i −0.318189 0.115811i
\(111\) 0.296369 + 5.87477i 0.0281301 + 0.557608i
\(112\) 14.8808 + 12.4865i 1.40611 + 1.17986i
\(113\) 3.46338 19.6418i 0.325807 1.84775i −0.178132 0.984007i \(-0.557005\pi\)
0.503939 0.863739i \(-0.331884\pi\)
\(114\) 5.43475 + 5.85095i 0.509011 + 0.547992i
\(115\) 5.04260 4.23124i 0.470225 0.394565i
\(116\) 2.19571 + 3.80308i 0.203867 + 0.353108i
\(117\) 0.161881 2.19182i 0.0149659 0.202634i
\(118\) 9.46357 16.3914i 0.871193 1.50895i
\(119\) −1.28265 7.27425i −0.117580 0.666830i
\(120\) −2.33057 + 3.08022i −0.212751 + 0.281185i
\(121\) 7.04901 2.56563i 0.640819 0.233239i
\(122\) −8.26241 + 3.00727i −0.748043 + 0.272266i
\(123\) −1.87730 + 2.48116i −0.169271 + 0.223719i
\(124\) 0.192163 + 1.08981i 0.0172567 + 0.0978676i
\(125\) −4.92714 + 8.53407i −0.440697 + 0.763310i
\(126\) 1.45188 19.6581i 0.129344 1.75128i
\(127\) −0.534728 0.926176i −0.0474495 0.0821849i 0.841325 0.540529i \(-0.181776\pi\)
−0.888775 + 0.458344i \(0.848443\pi\)
\(128\) 10.0128 8.40170i 0.885011 0.742612i
\(129\) 5.92943 + 6.38351i 0.522057 + 0.562037i
\(130\) 0.241537 1.36983i 0.0211842 0.120142i
\(131\) 5.85281 + 4.91109i 0.511362 + 0.429084i 0.861608 0.507574i \(-0.169458\pi\)
−0.350246 + 0.936658i \(0.613902\pi\)
\(132\) −0.134740 2.67089i −0.0117276 0.232471i
\(133\) 10.0750 + 3.66701i 0.873615 + 0.317970i
\(134\) −3.17529 −0.274303
\(135\) 5.86769 + 0.136846i 0.505010 + 0.0117778i
\(136\) −3.73070 −0.319905
\(137\) −14.7067 5.35279i −1.25647 0.457319i −0.373890 0.927473i \(-0.621976\pi\)
−0.882585 + 0.470154i \(0.844199\pi\)
\(138\) 15.1025 + 7.73235i 1.28561 + 0.658222i
\(139\) 6.63160 + 5.56457i 0.562485 + 0.471981i 0.879142 0.476559i \(-0.158116\pi\)
−0.316658 + 0.948540i \(0.602561\pi\)
\(140\) 0.632892 3.58931i 0.0534891 0.303352i
\(141\) 0.870810 2.82850i 0.0733354 0.238203i
\(142\) −15.6886 + 13.1643i −1.31656 + 1.10472i
\(143\) −0.685146 1.18671i −0.0572948 0.0992375i
\(144\) −14.4516 3.66325i −1.20430 0.305271i
\(145\) −3.00455 + 5.20403i −0.249514 + 0.432172i
\(146\) 2.88609 + 16.3678i 0.238854 + 1.35461i
\(147\) −5.57759 13.2117i −0.460032 1.08968i
\(148\) −2.63431 + 0.958811i −0.216539 + 0.0788137i
\(149\) 2.31524 0.842677i 0.189672 0.0690348i −0.245438 0.969412i \(-0.578932\pi\)
0.435110 + 0.900377i \(0.356710\pi\)
\(150\) −10.7591 1.34241i −0.878477 0.109607i
\(151\) −1.82563 10.3537i −0.148568 0.842571i −0.964433 0.264328i \(-0.914850\pi\)
0.815865 0.578243i \(-0.196261\pi\)
\(152\) 2.70760 4.68969i 0.219615 0.380384i
\(153\) 3.31416 + 4.59925i 0.267934 + 0.371828i
\(154\) −6.14497 10.6434i −0.495176 0.857669i
\(155\) −1.16000 + 0.973353i −0.0931731 + 0.0781816i
\(156\) 1.02104 0.233625i 0.0817489 0.0187050i
\(157\) 0.0625044 0.354480i 0.00498840 0.0282906i −0.982212 0.187776i \(-0.939872\pi\)
0.987200 + 0.159485i \(0.0509833\pi\)
\(158\) 15.9062 + 13.3469i 1.26543 + 1.06182i
\(159\) 4.13786 2.67567i 0.328154 0.212195i
\(160\) −4.67534 1.70168i −0.369618 0.134530i
\(161\) 22.7800 1.79532
\(162\) 5.55728 + 14.0705i 0.436621 + 1.10548i
\(163\) 14.6186 1.14502 0.572508 0.819899i \(-0.305971\pi\)
0.572508 + 0.819899i \(0.305971\pi\)
\(164\) −1.39339 0.507151i −0.108805 0.0396019i
\(165\) 3.07293 1.98706i 0.239227 0.154692i
\(166\) −15.0439 12.6233i −1.16763 0.979758i
\(167\) 0.377832 2.14279i 0.0292375 0.165814i −0.966693 0.255939i \(-0.917615\pi\)
0.995930 + 0.0901247i \(0.0287265\pi\)
\(168\) −13.0301 + 2.98142i −1.00529 + 0.230021i
\(169\) −9.54744 + 8.01125i −0.734419 + 0.616250i
\(170\) 1.79390 + 3.10712i 0.137586 + 0.238306i
\(171\) −8.18679 + 0.828119i −0.626060 + 0.0633278i
\(172\) −2.07611 + 3.59593i −0.158302 + 0.274187i
\(173\) −3.05048 17.3001i −0.231924 1.31531i −0.848996 0.528399i \(-0.822793\pi\)
0.617072 0.786906i \(-0.288319\pi\)
\(174\) −15.3694 1.91763i −1.16515 0.145375i
\(175\) −13.6794 + 4.97890i −1.03407 + 0.376370i
\(176\) −8.73473 + 3.17918i −0.658405 + 0.239640i
\(177\) 7.58531 + 17.9674i 0.570147 + 1.35052i
\(178\) −1.67214 9.48320i −0.125333 0.710796i
\(179\) −0.502236 + 0.869898i −0.0375388 + 0.0650192i −0.884184 0.467138i \(-0.845285\pi\)
0.846646 + 0.532157i \(0.178618\pi\)
\(180\) 0.760494 + 2.69183i 0.0566839 + 0.200638i
\(181\) 10.5866 + 18.3366i 0.786898 + 1.36295i 0.927859 + 0.372932i \(0.121647\pi\)
−0.140961 + 0.990015i \(0.545019\pi\)
\(182\) 3.68741 3.09411i 0.273329 0.229350i
\(183\) 2.66587 8.65909i 0.197067 0.640099i
\(184\) 1.99792 11.3308i 0.147289 0.835315i
\(185\) −2.93859 2.46577i −0.216050 0.181287i
\(186\) −3.47418 1.77875i −0.254739 0.130424i
\(187\) 3.32134 + 1.20887i 0.242880 + 0.0884012i
\(188\) 1.41045 0.102868
\(189\) 15.2508 + 13.4151i 1.10933 + 0.975806i
\(190\) −5.20776 −0.377811
\(191\) 9.23566 + 3.36150i 0.668269 + 0.243230i 0.653802 0.756665i \(-0.273173\pi\)
0.0144664 + 0.999895i \(0.495395\pi\)
\(192\) 0.221225 + 4.38522i 0.0159655 + 0.316476i
\(193\) −8.54606 7.17099i −0.615159 0.516179i 0.281119 0.959673i \(-0.409294\pi\)
−0.896278 + 0.443494i \(0.853739\pi\)
\(194\) −0.100228 + 0.568420i −0.00719594 + 0.0408102i
\(195\) 0.975440 + 1.05014i 0.0698527 + 0.0752021i
\(196\) 5.23560 4.39319i 0.373971 0.313799i
\(197\) −4.54497 7.87212i −0.323816 0.560865i 0.657456 0.753493i \(-0.271632\pi\)
−0.981272 + 0.192628i \(0.938299\pi\)
\(198\) 7.79898 + 5.30496i 0.554249 + 0.377007i
\(199\) 7.34694 12.7253i 0.520811 0.902071i −0.478896 0.877872i \(-0.658963\pi\)
0.999707 0.0241994i \(-0.00770367\pi\)
\(200\) 1.27675 + 7.24081i 0.0902798 + 0.512002i
\(201\) 1.97418 2.60920i 0.139248 0.184038i
\(202\) 27.4876 10.0047i 1.93402 0.703925i
\(203\) −19.5411 + 7.11238i −1.37152 + 0.499191i
\(204\) −1.63015 + 2.15450i −0.114133 + 0.150845i
\(205\) −0.352339 1.99821i −0.0246084 0.139561i
\(206\) 13.2901 23.0192i 0.925968 1.60382i
\(207\) −15.7435 + 7.60259i −1.09425 + 0.528417i
\(208\) −1.82034 3.15292i −0.126218 0.218615i
\(209\) −3.93011 + 3.29775i −0.271851 + 0.228110i
\(210\) 8.74857 + 9.41854i 0.603709 + 0.649941i
\(211\) 1.36458 7.73891i 0.0939415 0.532769i −0.901125 0.433559i \(-0.857257\pi\)
0.995067 0.0992096i \(-0.0316314\pi\)
\(212\) 1.79898 + 1.50952i 0.123555 + 0.103675i
\(213\) −1.06325 21.0763i −0.0728528 1.44412i
\(214\) 26.1095 + 9.50309i 1.78481 + 0.649618i
\(215\) −5.68178 −0.387494
\(216\) 8.01024 6.40915i 0.545028 0.436087i
\(217\) −5.24030 −0.355735
\(218\) 7.45297 + 2.71266i 0.504779 + 0.183724i
\(219\) −15.2441 7.80484i −1.03010 0.527402i
\(220\) 1.33599 + 1.12103i 0.0900725 + 0.0755798i
\(221\) −0.240390 + 1.36332i −0.0161704 + 0.0917067i
\(222\) 2.90931 9.44982i 0.195260 0.634231i
\(223\) −6.69591 + 5.61853i −0.448391 + 0.376245i −0.838838 0.544380i \(-0.816765\pi\)
0.390447 + 0.920625i \(0.372320\pi\)
\(224\) −8.60897 14.9112i −0.575211 0.996295i
\(225\) 7.79236 8.00634i 0.519490 0.533756i
\(226\) −16.7627 + 29.0339i −1.11504 + 1.93131i
\(227\) 0.706473 + 4.00661i 0.0468903 + 0.265928i 0.999236 0.0390942i \(-0.0124473\pi\)
−0.952345 + 0.305022i \(0.901336\pi\)
\(228\) −1.52523 3.61284i −0.101011 0.239266i
\(229\) −15.1816 + 5.52563i −1.00323 + 0.365144i −0.790827 0.612039i \(-0.790349\pi\)
−0.212398 + 0.977183i \(0.568127\pi\)
\(230\) −10.3976 + 3.78440i −0.685594 + 0.249536i
\(231\) 12.5664 + 1.56790i 0.826808 + 0.103160i
\(232\) 1.82384 + 10.3435i 0.119741 + 0.679086i
\(233\) −8.60658 + 14.9070i −0.563836 + 0.976592i 0.433321 + 0.901240i \(0.357342\pi\)
−0.997157 + 0.0753527i \(0.975992\pi\)
\(234\) −1.51579 + 3.36901i −0.0990903 + 0.220239i
\(235\) 0.965013 + 1.67145i 0.0629505 + 0.109034i
\(236\) −7.12022 + 5.97457i −0.463487 + 0.388911i
\(237\) −20.8568 + 4.77225i −1.35479 + 0.309991i
\(238\) −2.15602 + 12.2274i −0.139754 + 0.792583i
\(239\) −1.17621 0.986962i −0.0760830 0.0638412i 0.603953 0.797020i \(-0.293591\pi\)
−0.680036 + 0.733179i \(0.738036\pi\)
\(240\) 8.16435 5.27933i 0.527006 0.340779i
\(241\) 5.18868 + 1.88852i 0.334232 + 0.121650i 0.503684 0.863888i \(-0.331978\pi\)
−0.169452 + 0.985538i \(0.554200\pi\)
\(242\) −12.6092 −0.810549
\(243\) −15.0171 4.18157i −0.963350 0.268248i
\(244\) 4.31792 0.276427
\(245\) 8.78825 + 3.19866i 0.561461 + 0.204355i
\(246\) 4.39171 2.83982i 0.280005 0.181060i
\(247\) −1.53930 1.29162i −0.0979432 0.0821841i
\(248\) −0.459600 + 2.60652i −0.0291847 + 0.165514i
\(249\) 19.7261 4.51352i 1.25009 0.286033i
\(250\) 12.6889 10.6473i 0.802517 0.673392i
\(251\) 10.7204 + 18.5683i 0.676668 + 1.17202i 0.975978 + 0.217868i \(0.0699102\pi\)
−0.299310 + 0.954156i \(0.596756\pi\)
\(252\) −3.97177 + 8.82770i −0.250198 + 0.556093i
\(253\) −5.45023 + 9.44007i −0.342653 + 0.593492i
\(254\) 0.312161 + 1.77035i 0.0195867 + 0.111082i
\(255\) −3.66851 0.457717i −0.229731 0.0286634i
\(256\) −15.8814 + 5.78037i −0.992590 + 0.361273i
\(257\) 13.8947 5.05727i 0.866730 0.315464i 0.129888 0.991529i \(-0.458538\pi\)
0.736842 + 0.676065i \(0.236316\pi\)
\(258\) −5.69586 13.4919i −0.354609 0.839967i
\(259\) −2.30520 13.0735i −0.143238 0.812346i
\(260\) −0.341537 + 0.591560i −0.0211812 + 0.0366870i
\(261\) 11.1314 11.4371i 0.689017 0.707938i
\(262\) −6.42133 11.1221i −0.396711 0.687124i
\(263\) 2.14704 1.80158i 0.132392 0.111090i −0.574187 0.818724i \(-0.694682\pi\)
0.706579 + 0.707634i \(0.250237\pi\)
\(264\) 1.88201 6.11300i 0.115830 0.376229i
\(265\) −0.558016 + 3.16467i −0.0342787 + 0.194404i
\(266\) −13.8057 11.5844i −0.846483 0.710284i
\(267\) 8.83215 + 4.52197i 0.540519 + 0.276740i
\(268\) 1.46529 + 0.533322i 0.0895068 + 0.0325778i
\(269\) −0.356528 −0.0217379 −0.0108689 0.999941i \(-0.503460\pi\)
−0.0108689 + 0.999941i \(0.503460\pi\)
\(270\) −9.18958 3.58952i −0.559260 0.218451i
\(271\) −12.1467 −0.737857 −0.368928 0.929458i \(-0.620275\pi\)
−0.368928 + 0.929458i \(0.620275\pi\)
\(272\) 8.82433 + 3.21179i 0.535054 + 0.194744i
\(273\) 0.249904 + 4.95372i 0.0151249 + 0.299813i
\(274\) 20.1524 + 16.9099i 1.21745 + 1.02156i
\(275\) 1.20960 6.85999i 0.0729418 0.413673i
\(276\) −5.67059 6.10484i −0.341329 0.367468i
\(277\) 19.1434 16.0632i 1.15022 0.965146i 0.150492 0.988611i \(-0.451914\pi\)
0.999725 + 0.0234648i \(0.00746978\pi\)
\(278\) −7.27577 12.6020i −0.436372 0.755818i
\(279\) 3.62164 1.74890i 0.216822 0.104704i
\(280\) 4.35854 7.54921i 0.260473 0.451152i
\(281\) 1.27160 + 7.21162i 0.0758575 + 0.430209i 0.998958 + 0.0456492i \(0.0145356\pi\)
−0.923100 + 0.384560i \(0.874353\pi\)
\(282\) −3.00160 + 3.96710i −0.178743 + 0.236237i
\(283\) 13.5204 4.92102i 0.803703 0.292524i 0.0926830 0.995696i \(-0.470456\pi\)
0.711020 + 0.703172i \(0.248233\pi\)
\(284\) 9.45083 3.43982i 0.560804 0.204116i
\(285\) 3.23783 4.27932i 0.191793 0.253485i
\(286\) 0.399971 + 2.26835i 0.0236508 + 0.134130i
\(287\) 3.51086 6.08099i 0.207240 0.358950i
\(288\) 10.9262 + 7.43214i 0.643833 + 0.437943i
\(289\) 6.71462 + 11.6301i 0.394978 + 0.684122i
\(290\) 7.73764 6.49265i 0.454370 0.381262i
\(291\) −0.404767 0.435764i −0.0237278 0.0255449i
\(292\) 1.41731 8.03794i 0.0829416 0.470385i
\(293\) −11.0429 9.26611i −0.645134 0.541332i 0.260456 0.965486i \(-0.416127\pi\)
−0.905590 + 0.424154i \(0.860572\pi\)
\(294\) 1.21453 + 24.0750i 0.0708330 + 1.40409i
\(295\) −11.9517 4.35006i −0.695854 0.253270i
\(296\) −6.70491 −0.389715
\(297\) −9.20806 + 3.11031i −0.534306 + 0.180478i
\(298\) −4.14147 −0.239909
\(299\) −4.01189 1.46021i −0.232013 0.0844460i
\(300\) 4.73949 + 2.42657i 0.273635 + 0.140098i
\(301\) −15.0623 12.6388i −0.868178 0.728488i
\(302\) −3.06873 + 17.4036i −0.176586 + 1.00147i
\(303\) −8.86888 + 28.8073i −0.509504 + 1.65493i
\(304\) −10.4417 + 8.76166i −0.598875 + 0.502516i
\(305\) 2.95426 + 5.11693i 0.169161 + 0.292995i
\(306\) −2.59071 9.17004i −0.148101 0.524216i
\(307\) 15.2163 26.3554i 0.868440 1.50418i 0.00484869 0.999988i \(-0.498457\pi\)
0.863591 0.504193i \(-0.168210\pi\)
\(308\) 1.04803 + 5.94367i 0.0597171 + 0.338672i
\(309\) 10.6524 + 25.2325i 0.605994 + 1.43543i
\(310\) 2.39185 0.870561i 0.135848 0.0494446i
\(311\) 13.1516 4.78678i 0.745757 0.271433i 0.0589378 0.998262i \(-0.481229\pi\)
0.686819 + 0.726828i \(0.259006\pi\)
\(312\) 2.48589 + 0.310163i 0.140736 + 0.0175595i
\(313\) 3.83547 + 21.7520i 0.216793 + 1.22950i 0.877767 + 0.479087i \(0.159032\pi\)
−0.660974 + 0.750409i \(0.729857\pi\)
\(314\) −0.302521 + 0.523982i −0.0170722 + 0.0295700i
\(315\) −13.1787 + 1.33306i −0.742533 + 0.0751094i
\(316\) −5.09844 8.83075i −0.286810 0.496769i
\(317\) 13.3205 11.1773i 0.748156 0.627777i −0.186859 0.982387i \(-0.559831\pi\)
0.935014 + 0.354610i \(0.115386\pi\)
\(318\) −8.07418 + 1.84745i −0.452777 + 0.103600i
\(319\) 1.72792 9.79953i 0.0967450 0.548668i
\(320\) −2.19351 1.84058i −0.122621 0.102891i
\(321\) −24.0420 + 15.5463i −1.34189 + 0.867711i
\(322\) −35.9820 13.0964i −2.00520 0.729832i
\(323\) 5.18302 0.288391
\(324\) −0.201212 7.42647i −0.0111784 0.412581i
\(325\) 2.72829 0.151338
\(326\) −23.0906 8.40430i −1.27887 0.465471i
\(327\) −6.86279 + 4.43770i −0.379513 + 0.245405i
\(328\) −2.71676 2.27963i −0.150008 0.125872i
\(329\) −1.15981 + 6.57762i −0.0639425 + 0.362636i
\(330\) −5.99619 + 1.37199i −0.330079 + 0.0755255i
\(331\) 0.661975 0.555463i 0.0363855 0.0305310i −0.624414 0.781094i \(-0.714662\pi\)
0.660799 + 0.750563i \(0.270218\pi\)
\(332\) 4.82203 + 8.35199i 0.264643 + 0.458375i
\(333\) 5.95628 + 8.26589i 0.326402 + 0.452968i
\(334\) −1.82870 + 3.16741i −0.100062 + 0.173313i
\(335\) 0.370520 + 2.10132i 0.0202437 + 0.114808i
\(336\) 33.3871 + 4.16569i 1.82142 + 0.227257i
\(337\) −0.393289 + 0.143145i −0.0214238 + 0.00779762i −0.352710 0.935733i \(-0.614740\pi\)
0.331286 + 0.943530i \(0.392517\pi\)
\(338\) 19.6863 7.16522i 1.07079 0.389737i
\(339\) −13.4358 31.8256i −0.729732 1.72853i
\(340\) −0.305951 1.73514i −0.0165925 0.0941010i
\(341\) 1.25377 2.17159i 0.0678953 0.117598i
\(342\) 13.4075 + 3.39859i 0.724992 + 0.183775i
\(343\) 2.50108 + 4.33199i 0.135046 + 0.233906i
\(344\) −7.60757 + 6.38351i −0.410173 + 0.344176i
\(345\) 3.35478 10.8967i 0.180615 0.586661i
\(346\) −5.12759 + 29.0800i −0.275661 + 1.56335i
\(347\) 17.9329 + 15.0475i 0.962689 + 0.807792i 0.981388 0.192033i \(-0.0615082\pi\)
−0.0186996 + 0.999825i \(0.505953\pi\)
\(348\) 6.77038 + 3.46637i 0.362931 + 0.185817i
\(349\) −19.8993 7.24276i −1.06519 0.387696i −0.250811 0.968036i \(-0.580697\pi\)
−0.814374 + 0.580340i \(0.802920\pi\)
\(350\) 24.4696 1.30796
\(351\) −1.82596 3.34017i −0.0974627 0.178285i
\(352\) 8.23894 0.439137
\(353\) −22.1246 8.05268i −1.17757 0.428601i −0.322228 0.946662i \(-0.604432\pi\)
−0.855344 + 0.518061i \(0.826654\pi\)
\(354\) −1.65172 32.7411i −0.0877878 1.74017i
\(355\) 10.5425 + 8.84618i 0.559536 + 0.469507i
\(356\) −0.821160 + 4.65703i −0.0435214 + 0.246822i
\(357\) −8.70700 9.37379i −0.460823 0.496114i
\(358\) 1.29341 1.08530i 0.0683589 0.0573599i
\(359\) 5.23047 + 9.05943i 0.276053 + 0.478139i 0.970400 0.241502i \(-0.0776400\pi\)
−0.694347 + 0.719640i \(0.744307\pi\)
\(360\) −0.492769 + 6.67197i −0.0259712 + 0.351644i
\(361\) 5.73837 9.93915i 0.302019 0.523113i
\(362\) −6.18020 35.0497i −0.324824 1.84217i
\(363\) 7.83953 10.3612i 0.411469 0.543822i
\(364\) −2.22130 + 0.808488i −0.116428 + 0.0423763i
\(365\) 10.4950 3.81988i 0.549335 0.199941i
\(366\) −9.18901 + 12.1448i −0.480317 + 0.634817i
\(367\) 3.69146 + 20.9353i 0.192693 + 1.09281i 0.915666 + 0.401939i \(0.131664\pi\)
−0.722974 + 0.690875i \(0.757225\pi\)
\(368\) −14.4805 + 25.0809i −0.754848 + 1.30743i
\(369\) −0.396932 + 5.37436i −0.0206635 + 0.279778i
\(370\) 3.22404 + 5.58420i 0.167610 + 0.290309i
\(371\) −8.51892 + 7.14822i −0.442280 + 0.371117i
\(372\) 1.30446 + 1.40435i 0.0676330 + 0.0728124i
\(373\) 0.401142 2.27499i 0.0207704 0.117795i −0.972660 0.232235i \(-0.925396\pi\)
0.993430 + 0.114440i \(0.0365074\pi\)
\(374\) −4.55120 3.81891i −0.235337 0.197471i
\(375\) 0.859956 + 17.0465i 0.0444079 + 0.880275i
\(376\) 3.16998 + 1.15378i 0.163479 + 0.0595016i
\(377\) 3.89737 0.200725
\(378\) −16.3768 29.9575i −0.842331 1.54085i
\(379\) 12.5539 0.644850 0.322425 0.946595i \(-0.395502\pi\)
0.322425 + 0.946595i \(0.395502\pi\)
\(380\) 2.40321 + 0.874696i 0.123282 + 0.0448709i
\(381\) −1.64881 0.844175i −0.0844712 0.0432484i
\(382\) −12.6555 10.6193i −0.647514 0.543329i
\(383\) −3.41297 + 19.3559i −0.174395 + 0.989042i 0.764445 + 0.644689i \(0.223013\pi\)
−0.938840 + 0.344353i \(0.888098\pi\)
\(384\) 6.66136 21.6369i 0.339936 1.10416i
\(385\) −6.32647 + 5.30854i −0.322427 + 0.270548i
\(386\) 9.37620 + 16.2401i 0.477236 + 0.826597i
\(387\) 14.6278 + 3.70793i 0.743574 + 0.188485i
\(388\) 0.141724 0.245472i 0.00719492 0.0124620i
\(389\) −3.27198 18.5563i −0.165896 0.940843i −0.948136 0.317866i \(-0.897034\pi\)
0.782240 0.622978i \(-0.214077\pi\)
\(390\) −0.937016 2.21952i −0.0474477 0.112390i
\(391\) 10.3482 3.76642i 0.523329 0.190476i
\(392\) 15.3607 5.59082i 0.775831 0.282379i
\(393\) 13.1316 + 1.63842i 0.662400 + 0.0826472i
\(394\) 2.65324 + 15.0473i 0.133668 + 0.758070i
\(395\) 6.97656 12.0838i 0.351029 0.608000i
\(396\) −2.70794 3.75798i −0.136079 0.188845i
\(397\) −10.0589 17.4225i −0.504841 0.874410i −0.999984 0.00559897i \(-0.998218\pi\)
0.495143 0.868811i \(-0.335116\pi\)
\(398\) −18.9206 + 15.8763i −0.948405 + 0.795807i
\(399\) 18.1026 4.14205i 0.906261 0.207362i
\(400\) 3.21374 18.2260i 0.160687 0.911302i
\(401\) −23.5985 19.8015i −1.17845 0.988840i −0.999988 0.00489430i \(-0.998442\pi\)
−0.178466 0.983946i \(-0.557113\pi\)
\(402\) −4.61834 + 2.98636i −0.230342 + 0.148946i
\(403\) 0.922892 + 0.335905i 0.0459725 + 0.0167326i
\(404\) −14.3650 −0.714684
\(405\) 8.66303 5.31953i 0.430469 0.264330i
\(406\) 34.9549 1.73478
\(407\) 5.96919 + 2.17261i 0.295882 + 0.107692i
\(408\) −5.42616 + 3.50873i −0.268635 + 0.173708i
\(409\) 30.4059 + 25.5136i 1.50347 + 1.26156i 0.875388 + 0.483421i \(0.160606\pi\)
0.628086 + 0.778144i \(0.283839\pi\)
\(410\) −0.592250 + 3.35882i −0.0292491 + 0.165880i
\(411\) −26.4246 + 6.04621i −1.30343 + 0.298237i
\(412\) −9.99925 + 8.39037i −0.492628 + 0.413364i
\(413\) −22.0073 38.1178i −1.08291 1.87565i
\(414\) 29.2384 2.95755i 1.43699 0.145355i
\(415\) −6.59832 + 11.4286i −0.323899 + 0.561010i
\(416\) 0.560351 + 3.17791i 0.0274735 + 0.155810i
\(417\) 14.8789 + 1.85643i 0.728622 + 0.0909097i
\(418\) 8.10366 2.94949i 0.396363 0.144264i
\(419\) −14.5099 + 5.28118i −0.708856 + 0.258002i −0.671187 0.741288i \(-0.734215\pi\)
−0.0376687 + 0.999290i \(0.511993\pi\)
\(420\) −2.45523 5.81575i −0.119803 0.283779i
\(421\) −3.14193 17.8188i −0.153128 0.868433i −0.960477 0.278359i \(-0.910210\pi\)
0.807349 0.590074i \(-0.200902\pi\)
\(422\) −6.60456 + 11.4394i −0.321505 + 0.556863i
\(423\) −1.39365 4.93294i −0.0677616 0.239848i
\(424\) 2.80837 + 4.86424i 0.136386 + 0.236228i
\(425\) −5.39087 + 4.52348i −0.261496 + 0.219421i
\(426\) −10.4374 + 33.9021i −0.505695 + 1.64256i
\(427\) −3.55061 + 20.1365i −0.171826 + 0.974475i
\(428\) −10.4525 8.77071i −0.505242 0.423948i
\(429\) −2.11262 1.08164i −0.101998 0.0522221i
\(430\) 8.97460 + 3.26649i 0.432794 + 0.157524i
\(431\) −28.9683 −1.39535 −0.697677 0.716412i \(-0.745783\pi\)
−0.697677 + 0.716412i \(0.745783\pi\)
\(432\) −24.4645 + 8.26365i −1.17705 + 0.397585i
\(433\) −37.5902 −1.80647 −0.903235 0.429146i \(-0.858815\pi\)
−0.903235 + 0.429146i \(0.858815\pi\)
\(434\) 8.27727 + 3.01268i 0.397322 + 0.144613i
\(435\) 0.524397 + 10.3949i 0.0251429 + 0.498395i
\(436\) −2.98367 2.50360i −0.142892 0.119901i
\(437\) −2.77569 + 15.7417i −0.132779 + 0.753028i
\(438\) 19.5917 + 21.0920i 0.936126 + 1.00781i
\(439\) 7.86232 6.59727i 0.375248 0.314871i −0.435585 0.900147i \(-0.643459\pi\)
0.810834 + 0.585277i \(0.199014\pi\)
\(440\) 2.08560 + 3.61237i 0.0994272 + 0.172213i
\(441\) −20.5380 13.9702i −0.978001 0.665248i
\(442\) 1.16348 2.01521i 0.0553413 0.0958540i
\(443\) 3.80437 + 21.5757i 0.180751 + 1.02509i 0.931294 + 0.364269i \(0.118681\pi\)
−0.750543 + 0.660822i \(0.770208\pi\)
\(444\) −2.92974 + 3.87212i −0.139039 + 0.183763i
\(445\) −6.08062 + 2.21316i −0.288249 + 0.104914i
\(446\) 13.8066 5.02519i 0.653761 0.237949i
\(447\) 2.57488 3.40312i 0.121788 0.160962i
\(448\) −1.72072 9.75869i −0.0812964 0.461055i
\(449\) −4.98565 + 8.63540i −0.235287 + 0.407530i −0.959356 0.282198i \(-0.908936\pi\)
0.724069 + 0.689728i \(0.242270\pi\)
\(450\) −16.9112 + 8.16647i −0.797203 + 0.384971i
\(451\) 1.67998 + 2.90981i 0.0791072 + 0.137018i
\(452\) 12.6120 10.5827i 0.593217 0.497768i
\(453\) −12.3930 13.3420i −0.582272 0.626863i
\(454\) 1.18752 6.73475i 0.0557330 0.316078i
\(455\) −2.47788 2.07919i −0.116165 0.0974738i
\(456\) −0.472568 9.36747i −0.0221300 0.438672i
\(457\) 7.15867 + 2.60554i 0.334869 + 0.121882i 0.503981 0.863715i \(-0.331868\pi\)
−0.169113 + 0.985597i \(0.554090\pi\)
\(458\) 27.1566 1.26894
\(459\) 9.14592 + 3.57247i 0.426895 + 0.166748i
\(460\) 5.43375 0.253350
\(461\) 21.4255 + 7.79824i 0.997885 + 0.363200i 0.788768 0.614690i \(-0.210719\pi\)
0.209116 + 0.977891i \(0.432941\pi\)
\(462\) −18.9477 9.70106i −0.881529 0.451334i
\(463\) −6.73792 5.65379i −0.313138 0.262754i 0.472650 0.881250i \(-0.343298\pi\)
−0.785787 + 0.618497i \(0.787742\pi\)
\(464\) 4.59084 26.0360i 0.213125 1.20869i
\(465\) −0.771731 + 2.50668i −0.0357882 + 0.116245i
\(466\) 22.1646 18.5983i 1.02675 0.861549i
\(467\) 5.49878 + 9.52416i 0.254453 + 0.440726i 0.964747 0.263180i \(-0.0847713\pi\)
−0.710294 + 0.703905i \(0.751438\pi\)
\(468\) 1.26534 1.30009i 0.0584906 0.0600968i
\(469\) −3.69203 + 6.39479i −0.170482 + 0.295284i
\(470\) −0.563350 3.19492i −0.0259854 0.147371i
\(471\) −0.242479 0.574363i −0.0111728 0.0264653i
\(472\) −20.8899 + 7.60331i −0.961536 + 0.349971i
\(473\) 8.84127 3.21796i 0.406522 0.147962i
\(474\) 35.6878 + 4.45274i 1.63919 + 0.204521i
\(475\) −1.77377 10.0596i −0.0813863 0.461565i
\(476\) 3.04864 5.28040i 0.139734 0.242027i
\(477\) 3.50188 7.78332i 0.160340 0.356374i
\(478\) 1.29047 + 2.23516i 0.0590247 + 0.102234i
\(479\) 19.6816 16.5148i 0.899276 0.754582i −0.0707730 0.997492i \(-0.522547\pi\)
0.970049 + 0.242911i \(0.0781021\pi\)
\(480\) −8.40054 + 1.92213i −0.383430 + 0.0877327i
\(481\) −0.432034 + 2.45019i −0.0196991 + 0.111719i
\(482\) −7.11000 5.96600i −0.323852 0.271744i
\(483\) 33.1327 21.4246i 1.50759 0.974855i
\(484\) 5.81871 + 2.11784i 0.264487 + 0.0962654i
\(485\) 0.387861 0.0176119
\(486\) 21.3162 + 15.2384i 0.966921 + 0.691228i
\(487\) −30.3800 −1.37665 −0.688325 0.725402i \(-0.741654\pi\)
−0.688325 + 0.725402i \(0.741654\pi\)
\(488\) 9.70448 + 3.53214i 0.439301 + 0.159893i
\(489\) 21.2621 13.7488i 0.961508 0.621742i
\(490\) −12.0425 10.1048i −0.544023 0.456490i
\(491\) 1.51218 8.57597i 0.0682435 0.387028i −0.931486 0.363777i \(-0.881487\pi\)
0.999730 0.0232514i \(-0.00740183\pi\)
\(492\) −2.50360 + 0.572850i −0.112871 + 0.0258261i
\(493\) −7.70088 + 6.46180i −0.346830 + 0.291025i
\(494\) 1.68882 + 2.92512i 0.0759837 + 0.131608i
\(495\) 2.60063 5.78019i 0.116890 0.259800i
\(496\) 3.33108 5.76961i 0.149570 0.259063i
\(497\) 8.27013 + 46.9023i 0.370966 + 2.10385i
\(498\) −33.7530 4.21133i −1.51251 0.188714i
\(499\) −10.9338 + 3.97957i −0.489463 + 0.178150i −0.574949 0.818189i \(-0.694978\pi\)
0.0854858 + 0.996339i \(0.472756\pi\)
\(500\) −7.64382 + 2.78212i −0.341842 + 0.124420i
\(501\) −1.46576 3.47196i −0.0654851 0.155116i
\(502\) −6.25832 35.4927i −0.279323 1.58412i
\(503\) 18.8996 32.7350i 0.842689 1.45958i −0.0449234 0.998990i \(-0.514304\pi\)
0.887613 0.460590i \(-0.152362\pi\)
\(504\) −16.1477 + 16.5912i −0.719277 + 0.739029i
\(505\) −9.82831 17.0231i −0.437354 0.757519i
\(506\) 14.0360 11.7776i 0.623977 0.523579i
\(507\) −6.35179 + 20.6314i −0.282093 + 0.916274i
\(508\) 0.153297 0.869388i 0.00680143 0.0385729i
\(509\) 18.0585 + 15.1528i 0.800427 + 0.671638i 0.948302 0.317368i \(-0.102799\pi\)
−0.147875 + 0.989006i \(0.547243\pi\)
\(510\) 5.53141 + 2.83203i 0.244935 + 0.125404i
\(511\) 36.3193 + 13.2191i 1.60667 + 0.584780i
\(512\) 2.26711 0.100193
\(513\) −11.1285 + 8.90415i −0.491336 + 0.393128i
\(514\) −24.8548 −1.09630
\(515\) −16.7843 6.10899i −0.739605 0.269194i
\(516\) 0.362352 + 7.18272i 0.0159517 + 0.316202i
\(517\) −2.44828 2.05435i −0.107675 0.0903503i
\(518\) −3.87485 + 21.9753i −0.170251 + 0.965541i
\(519\) −20.7076 22.2934i −0.908963 0.978572i
\(520\) −1.25151 + 1.05014i −0.0548822 + 0.0460517i
\(521\) −3.93474 6.81517i −0.172384 0.298578i 0.766869 0.641804i \(-0.221814\pi\)
−0.939253 + 0.343226i \(0.888480\pi\)
\(522\) −24.1578 + 11.6658i −1.05736 + 0.510600i
\(523\) −16.6467 + 28.8330i −0.727911 + 1.26078i 0.229854 + 0.973225i \(0.426175\pi\)
−0.957765 + 0.287554i \(0.907158\pi\)
\(524\) 1.09517 + 6.21099i 0.0478425 + 0.271328i
\(525\) −15.2135 + 20.1071i −0.663973 + 0.877547i
\(526\) −4.42707 + 1.61132i −0.193029 + 0.0702570i
\(527\) −2.38048 + 0.866425i −0.103695 + 0.0377421i
\(528\) −9.71430 + 12.8390i −0.422761 + 0.558746i
\(529\) 1.90355 + 10.7955i 0.0827628 + 0.469371i
\(530\) 2.70080 4.67792i 0.117315 0.203196i
\(531\) 27.9309 + 18.9990i 1.21210 + 0.824485i
\(532\) 4.42516 + 7.66461i 0.191855 + 0.332303i
\(533\) −1.00811 + 0.845902i −0.0436659 + 0.0366401i
\(534\) −11.3510 12.2203i −0.491207 0.528824i
\(535\) 3.24221 18.3875i 0.140173 0.794961i
\(536\) 2.85695 + 2.39727i 0.123402 + 0.103546i
\(537\) 0.0876573 + 1.73759i 0.00378269 + 0.0749823i
\(538\) 0.563150 + 0.204970i 0.0242791 + 0.00883687i
\(539\) −15.4868 −0.667062
\(540\) 3.63778 + 3.19992i 0.156545 + 0.137703i
\(541\) 22.4283 0.964266 0.482133 0.876098i \(-0.339862\pi\)
0.482133 + 0.876098i \(0.339862\pi\)
\(542\) 19.1861 + 6.98318i 0.824115 + 0.299953i
\(543\) 32.6434 + 16.7131i 1.40086 + 0.717228i
\(544\) −6.37614 5.35022i −0.273375 0.229389i
\(545\) 0.925490 5.24872i 0.0396436 0.224830i
\(546\) 2.45319 7.96827i 0.104987 0.341011i
\(547\) −16.0036 + 13.4286i −0.684262 + 0.574164i −0.917248 0.398316i \(-0.869595\pi\)
0.232986 + 0.972480i \(0.425150\pi\)
\(548\) −6.45948 11.1881i −0.275935 0.477934i
\(549\) −4.26648 15.1016i −0.182089 0.644519i
\(550\) −5.85447 + 10.1402i −0.249635 + 0.432381i
\(551\) −2.53384 14.3701i −0.107945 0.612188i
\(552\) −7.75070 18.3592i −0.329892 0.781420i
\(553\) 45.3744 16.5149i 1.92952 0.702286i
\(554\) −39.4727 + 14.3669i −1.67703 + 0.610390i
\(555\) −6.59313 0.822620i −0.279863 0.0349183i
\(556\) 1.24089 + 7.03744i 0.0526255 + 0.298454i
\(557\) −4.28920 + 7.42911i −0.181739 + 0.314782i −0.942473 0.334283i \(-0.891506\pi\)
0.760734 + 0.649064i \(0.224839\pi\)
\(558\) −6.72597 + 0.680352i −0.284733 + 0.0288016i
\(559\) 1.84254 + 3.19137i 0.0779311 + 0.134981i
\(560\) −16.8085 + 14.1040i −0.710291 + 0.596005i
\(561\) 5.96770 1.36547i 0.251957 0.0576502i
\(562\) 2.13745 12.1221i 0.0901630 0.511340i
\(563\) −12.0383 10.1013i −0.507354 0.425720i 0.352843 0.935682i \(-0.385215\pi\)
−0.860197 + 0.509962i \(0.829659\pi\)
\(564\) 2.05145 1.32653i 0.0863817 0.0558572i
\(565\) 21.1699 + 7.70522i 0.890625 + 0.324161i
\(566\) −24.1851 −1.01658
\(567\) 34.7986 + 5.16841i 1.46140 + 0.217053i
\(568\) 24.0545 1.00930
\(569\) −11.9085 4.33435i −0.499231 0.181705i 0.0801169 0.996785i \(-0.474471\pi\)
−0.579348 + 0.815080i \(0.696693\pi\)
\(570\) −7.57449 + 4.89791i −0.317260 + 0.205151i
\(571\) −20.1644 16.9199i −0.843852 0.708076i 0.114575 0.993415i \(-0.463449\pi\)
−0.958427 + 0.285339i \(0.907894\pi\)
\(572\) 0.196419 1.11394i 0.00821267 0.0465764i
\(573\) 16.5944 3.79697i 0.693241 0.158621i
\(574\) −9.04155 + 7.58676i −0.377387 + 0.316665i
\(575\) −10.8516 18.7954i −0.452541 0.783824i
\(576\) 4.44607 + 6.17008i 0.185253 + 0.257087i
\(577\) 11.0577 19.1525i 0.460338 0.797329i −0.538640 0.842536i \(-0.681062\pi\)
0.998978 + 0.0452074i \(0.0143949\pi\)
\(578\) −3.91983 22.2304i −0.163043 0.924665i
\(579\) −19.1742 2.39236i −0.796854 0.0994230i
\(580\) −4.66116 + 1.69652i −0.193544 + 0.0704444i
\(581\) −42.9144 + 15.6196i −1.78039 + 0.648009i
\(582\) 0.388822 + 0.921009i 0.0161172 + 0.0381771i
\(583\) −0.924041 5.24050i −0.0382699 0.217039i
\(584\) 9.76057 16.9058i 0.403895 0.699567i
\(585\) 2.40640 + 0.609985i 0.0994923 + 0.0252198i
\(586\) 12.1156 + 20.9848i 0.500491 + 0.866876i
\(587\) 10.9568 9.19388i 0.452237 0.379472i −0.388028 0.921647i \(-0.626844\pi\)
0.840265 + 0.542176i \(0.182399\pi\)
\(588\) 3.48318 11.3138i 0.143644 0.466574i
\(589\) 0.638517 3.62121i 0.0263097 0.149209i
\(590\) 16.3773 + 13.7422i 0.674243 + 0.565757i
\(591\) −14.0142 7.17514i −0.576468 0.295146i
\(592\) 15.8593 + 5.77231i 0.651813 + 0.237241i
\(593\) 47.7300 1.96004 0.980018 0.198908i \(-0.0637397\pi\)
0.980018 + 0.198908i \(0.0637397\pi\)
\(594\) 16.3326 + 0.380910i 0.670136 + 0.0156289i
\(595\) 8.34334 0.342044
\(596\) 1.91115 + 0.695601i 0.0782837 + 0.0284929i
\(597\) −1.28229 25.4182i −0.0524808 1.04030i
\(598\) 5.49746 + 4.61291i 0.224808 + 0.188636i
\(599\) −0.0867493 + 0.491980i −0.00354448 + 0.0201018i −0.986529 0.163588i \(-0.947693\pi\)
0.982984 + 0.183690i \(0.0588043\pi\)
\(600\) 8.66697 + 9.33069i 0.353828 + 0.380924i
\(601\) −12.9669 + 10.8805i −0.528931 + 0.443826i −0.867732 0.497032i \(-0.834423\pi\)
0.338801 + 0.940858i \(0.389979\pi\)
\(602\) 16.5254 + 28.6229i 0.673527 + 1.16658i
\(603\) 0.417415 5.65169i 0.0169985 0.230155i
\(604\) 4.33923 7.51577i 0.176561 0.305812i
\(605\) 1.47135 + 8.34443i 0.0598188 + 0.339249i
\(606\) 30.5702 40.4035i 1.24183 1.64128i
\(607\) −0.652741 + 0.237578i −0.0264939 + 0.00964301i −0.355233 0.934778i \(-0.615599\pi\)
0.328739 + 0.944421i \(0.393376\pi\)
\(608\) 11.3531 4.13218i 0.460427 0.167582i
\(609\) −21.7326 + 28.7231i −0.880649 + 1.16392i
\(610\) −1.72462 9.78083i −0.0698280 0.396014i
\(611\) 0.625887 1.08407i 0.0253207 0.0438567i
\(612\) −0.344674 + 4.66680i −0.0139326 + 0.188644i
\(613\) 16.3317 + 28.2873i 0.659630 + 1.14251i 0.980711 + 0.195461i \(0.0626204\pi\)
−0.321081 + 0.947052i \(0.604046\pi\)
\(614\) −39.1866 + 32.8815i −1.58144 + 1.32699i
\(615\) −2.39178 2.57495i −0.0964460 0.103832i
\(616\) −2.50660 + 14.2157i −0.100994 + 0.572765i
\(617\) 17.5305 + 14.7098i 0.705751 + 0.592195i 0.923403 0.383831i \(-0.125395\pi\)
−0.217652 + 0.976026i \(0.569840\pi\)
\(618\) −2.31958 45.9799i −0.0933074 1.84958i
\(619\) −7.97398 2.90229i −0.320501 0.116653i 0.176759 0.984254i \(-0.443439\pi\)
−0.497261 + 0.867601i \(0.665661\pi\)
\(620\) −1.24998 −0.0502002
\(621\) −15.7481 + 25.8645i −0.631951 + 1.03791i
\(622\) −23.5254 −0.943282
\(623\) −21.0427 7.65892i −0.843058 0.306848i
\(624\) −5.61293 2.87377i −0.224697 0.115043i
\(625\) 5.73752 + 4.81435i 0.229501 + 0.192574i
\(626\) 6.44708 36.5632i 0.257677 1.46136i
\(627\) −2.61465 + 8.49272i −0.104419 + 0.339167i
\(628\) 0.227611 0.190988i 0.00908267 0.00762127i
\(629\) −3.20872 5.55767i −0.127940 0.221599i
\(630\) 21.5826 + 5.47086i 0.859871 + 0.217964i
\(631\) −0.795865 + 1.37848i −0.0316829 + 0.0548763i −0.881432 0.472311i \(-0.843420\pi\)
0.849749 + 0.527187i \(0.176753\pi\)
\(632\) −4.23496 24.0176i −0.168458 0.955370i
\(633\) −5.29373 12.5393i −0.210407 0.498394i
\(634\) −27.4662 + 9.99688i −1.09082 + 0.397027i
\(635\) 1.13515 0.413160i 0.0450469 0.0163957i
\(636\) 4.03626 + 0.503601i 0.160048 + 0.0199691i
\(637\) −1.05329 5.97352i −0.0417330 0.236680i
\(638\) −8.36313 + 14.4854i −0.331099 + 0.573481i
\(639\) −21.3687 29.6546i −0.845333 1.17312i
\(640\) 7.38198 + 12.7860i 0.291798 + 0.505409i
\(641\) 16.6038 13.9322i 0.655809 0.550289i −0.253019 0.967461i \(-0.581423\pi\)
0.908827 + 0.417173i \(0.136979\pi\)
\(642\) 46.9130 10.7342i 1.85151 0.423644i
\(643\) −1.19853 + 6.79720i −0.0472654 + 0.268056i −0.999278 0.0380047i \(-0.987900\pi\)
0.952012 + 0.306060i \(0.0990109\pi\)
\(644\) 14.4048 + 12.0871i 0.567629 + 0.476297i
\(645\) −8.26393 + 5.34372i −0.325392 + 0.210409i
\(646\) −8.18679 2.97975i −0.322105 0.117237i
\(647\) −6.18972 −0.243343 −0.121671 0.992570i \(-0.538825\pi\)
−0.121671 + 0.992570i \(0.538825\pi\)
\(648\) 5.62277 16.8555i 0.220883 0.662146i
\(649\) 21.0614 0.826733
\(650\) −4.30945 1.56851i −0.169030 0.0615220i
\(651\) −7.62182 + 4.92851i −0.298723 + 0.193164i
\(652\) 9.24396 + 7.75660i 0.362021 + 0.303772i
\(653\) −4.72574 + 26.8010i −0.184933 + 1.04881i 0.741109 + 0.671384i \(0.234300\pi\)
−0.926042 + 0.377421i \(0.876811\pi\)
\(654\) 13.3913 3.06407i 0.523642 0.119815i
\(655\) −6.61100 + 5.54729i −0.258313 + 0.216751i
\(656\) 4.46347 + 7.73096i 0.174269 + 0.301843i
\(657\) −29.5124 + 2.98527i −1.15139 + 0.116467i
\(658\) 5.61348 9.72283i 0.218836 0.379035i
\(659\) 0.917209 + 5.20175i 0.0357294 + 0.202631i 0.997447 0.0714110i \(-0.0227502\pi\)
−0.961718 + 0.274043i \(0.911639\pi\)
\(660\) 2.99748 + 0.373993i 0.116677 + 0.0145577i
\(661\) −10.9616 + 3.98968i −0.426355 + 0.155181i −0.546280 0.837602i \(-0.683957\pi\)
0.119925 + 0.992783i \(0.461734\pi\)
\(662\) −1.36496 + 0.496803i −0.0530505 + 0.0193088i
\(663\) 0.932564 + 2.20898i 0.0362178 + 0.0857897i
\(664\) 4.00536 + 22.7155i 0.155438 + 0.881533i
\(665\) −6.05527 + 10.4880i −0.234813 + 0.406708i
\(666\) −4.65609 16.4806i −0.180420 0.638611i
\(667\) −15.5015 26.8494i −0.600220 1.03961i
\(668\) 1.37588 1.15450i 0.0532345 0.0446690i
\(669\) −4.45470 + 14.4694i −0.172229 + 0.559421i
\(670\) 0.622812 3.53214i 0.0240613 0.136459i
\(671\) −7.49510 6.28913i −0.289345 0.242789i
\(672\) −26.5454 13.5910i −1.02401 0.524283i
\(673\) −46.1412 16.7940i −1.77861 0.647362i −0.999798 0.0201071i \(-0.993599\pi\)
−0.778814 0.627255i \(-0.784178\pi\)
\(674\) 0.703510 0.0270982
\(675\) 3.80371 18.9736i 0.146405 0.730295i
\(676\) −10.2880 −0.395693
\(677\) 21.2550 + 7.73617i 0.816894 + 0.297325i 0.716469 0.697619i \(-0.245757\pi\)
0.100426 + 0.994945i \(0.467980\pi\)
\(678\) 2.92567 + 57.9941i 0.112360 + 2.22725i
\(679\) 1.02822 + 0.862775i 0.0394593 + 0.0331103i
\(680\) 0.731752 4.14997i 0.0280614 0.159144i
\(681\) 4.79576 + 5.16302i 0.183774 + 0.197847i
\(682\) −3.22884 + 2.70931i −0.123639 + 0.103745i
\(683\) 8.56931 + 14.8425i 0.327896 + 0.567932i 0.982094 0.188391i \(-0.0603272\pi\)
−0.654198 + 0.756323i \(0.726994\pi\)
\(684\) −5.61626 3.82025i −0.214743 0.146071i
\(685\) 8.83897 15.3095i 0.337720 0.584947i
\(686\) −1.46007 8.28045i −0.0557456 0.316149i
\(687\) −16.8841 + 22.3151i −0.644169 + 0.851374i
\(688\) 23.4900 8.54966i 0.895548 0.325953i
\(689\) 1.95851 0.712838i 0.0746132 0.0271570i
\(690\) −11.5636 + 15.2832i −0.440219 + 0.581820i
\(691\) 3.17011 + 17.9786i 0.120597 + 0.683937i 0.983826 + 0.179126i \(0.0573268\pi\)
−0.863230 + 0.504811i \(0.831562\pi\)
\(692\) 7.25049 12.5582i 0.275622 0.477392i
\(693\) 19.7520 9.53826i 0.750315 0.362328i
\(694\) −19.6749 34.0779i −0.746848 1.29358i
\(695\) −7.49068 + 6.28543i −0.284138 + 0.238420i
\(696\) 12.3808 + 13.3289i 0.469293 + 0.505232i
\(697\) 0.589436 3.34286i 0.0223265 0.126620i
\(698\) 27.2679 + 22.8805i 1.03210 + 0.866038i
\(699\) 1.50214 + 29.7762i 0.0568163 + 1.12624i
\(700\) −11.2919 4.10991i −0.426793 0.155340i
\(701\) −2.92075 −0.110315 −0.0551575 0.998478i \(-0.517566\pi\)
−0.0551575 + 0.998478i \(0.517566\pi\)
\(702\) 0.963899 + 6.32570i 0.0363800 + 0.238748i
\(703\) 9.31505 0.351324
\(704\) 4.45570 + 1.62174i 0.167931 + 0.0611218i
\(705\) 2.97558 + 1.52347i 0.112067 + 0.0573771i
\(706\) 30.3171 + 25.4391i 1.14100 + 0.957412i
\(707\) 11.8123 66.9906i 0.444246 2.51944i
\(708\) −4.73699 + 15.3864i −0.178027 + 0.578255i
\(709\) 23.0023 19.3012i 0.863868 0.724872i −0.0989295 0.995094i \(-0.531542\pi\)
0.962798 + 0.270223i \(0.0870974\pi\)
\(710\) −11.5665 20.0338i −0.434084 0.751856i
\(711\) −25.8471 + 26.5569i −0.969342 + 0.995961i
\(712\) −5.65509 + 9.79490i −0.211933 + 0.367079i
\(713\) −1.35665 7.69393i −0.0508068 0.288140i
\(714\) 8.36402 + 19.8120i 0.313016 + 0.741445i
\(715\) 1.45446 0.529381i 0.0543938 0.0197977i
\(716\) −0.779152 + 0.283588i −0.0291183 + 0.0105982i
\(717\) −2.63900 0.329266i −0.0985552 0.0122967i
\(718\) −3.05341 17.3168i −0.113952 0.646256i
\(719\) −20.0285 + 34.6903i −0.746936 + 1.29373i 0.202349 + 0.979314i \(0.435143\pi\)
−0.949285 + 0.314418i \(0.898191\pi\)
\(720\) 6.90951 15.3572i 0.257502 0.572327i
\(721\) −30.9059 53.5306i −1.15100 1.99358i
\(722\) −14.7781 + 12.4003i −0.549983 + 0.461490i
\(723\) 9.32289 2.13317i 0.346722 0.0793335i
\(724\) −3.03499 + 17.2123i −0.112794 + 0.639689i
\(725\) 15.1770 + 12.7350i 0.563659 + 0.472966i
\(726\) −18.3396 + 11.8590i −0.680645 + 0.440127i
\(727\) 1.44598 + 0.526294i 0.0536285 + 0.0195192i 0.368695 0.929550i \(-0.379805\pi\)
−0.315067 + 0.949070i \(0.602027\pi\)
\(728\) −5.65371 −0.209540
\(729\) −25.7746 + 8.04171i −0.954615 + 0.297841i
\(730\) −18.7734 −0.694834
\(731\) −8.93196 3.25097i −0.330361 0.120241i
\(732\) 6.28025 4.06101i 0.232125 0.150099i
\(733\) −1.15818 0.971827i −0.0427783 0.0358952i 0.621148 0.783693i \(-0.286667\pi\)
−0.663926 + 0.747798i \(0.731111\pi\)
\(734\) 6.20502 35.1904i 0.229031 1.29890i
\(735\) 15.7905 3.61303i 0.582442 0.133269i
\(736\) 19.6642 16.5002i 0.724830 0.608205i
\(737\) −1.76667 3.05997i −0.0650762 0.112715i
\(738\) 3.71672 8.26082i 0.136814 0.304085i
\(739\) −10.6779 + 18.4946i −0.392792 + 0.680336i −0.992817 0.119646i \(-0.961824\pi\)
0.600024 + 0.799982i \(0.295157\pi\)
\(740\) −0.549863 3.11843i −0.0202134 0.114636i
\(741\) −3.45362 0.430906i −0.126872 0.0158297i
\(742\) 17.5655 6.39333i 0.644851 0.234707i
\(743\) 19.1028 6.95284i 0.700812 0.255075i 0.0330547 0.999454i \(-0.489476\pi\)
0.667758 + 0.744379i \(0.267254\pi\)
\(744\) 1.78297 + 4.22334i 0.0653667 + 0.154835i
\(745\) 0.483262 + 2.74072i 0.0177054 + 0.100412i
\(746\) −1.94153 + 3.36282i −0.0710843 + 0.123122i
\(747\) 24.4458 25.1171i 0.894425 0.918987i
\(748\) 1.45880 + 2.52672i 0.0533391 + 0.0923860i
\(749\) 49.4970 41.5329i 1.80858 1.51758i
\(750\) 8.44177 27.4200i 0.308250 1.00124i
\(751\) 0.740289 4.19839i 0.0270135 0.153201i −0.968317 0.249723i \(-0.919661\pi\)
0.995331 + 0.0965214i \(0.0307716\pi\)
\(752\) −6.50474 5.45813i −0.237204 0.199037i
\(753\) 33.0560 + 16.9244i 1.20463 + 0.616758i
\(754\) −6.15606 2.24062i −0.224191 0.0815987i
\(755\) 11.8754 0.432189
\(756\) 2.52567 + 16.5750i 0.0918578 + 0.602827i
\(757\) 54.3419 1.97509 0.987546 0.157332i \(-0.0502892\pi\)
0.987546 + 0.157332i \(0.0502892\pi\)
\(758\) −19.8294 7.21730i −0.720235 0.262144i
\(759\) 0.951252 + 18.8562i 0.0345282 + 0.684435i
\(760\) 4.68566 + 3.93174i 0.169967 + 0.142619i
\(761\) 3.15364 17.8852i 0.114319 0.648338i −0.872765 0.488140i \(-0.837676\pi\)
0.987085 0.160198i \(-0.0512133\pi\)
\(762\) 2.11904 + 2.28132i 0.0767649 + 0.0826435i
\(763\) 14.1289 11.8556i 0.511502 0.429201i
\(764\) 4.05650 + 7.02606i 0.146759 + 0.254194i