Properties

Label 189.2.u.a.4.8
Level $189$
Weight $2$
Character 189.4
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(4,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([2, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.u (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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 189.4
Dual form 189.2.u.a.142.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.203963 - 1.15673i) q^{2} +(-1.51129 - 0.846167i) q^{3} +(0.582964 - 0.212181i) q^{4} +(-3.41115 + 1.24156i) q^{5} +(-0.670539 + 1.92074i) q^{6} +(-1.99948 + 1.73265i) q^{7} +(-1.53891 - 2.66548i) q^{8} +(1.56800 + 2.55761i) q^{9} +O(q^{10})\) \(q+(-0.203963 - 1.15673i) q^{2} +(-1.51129 - 0.846167i) q^{3} +(0.582964 - 0.212181i) q^{4} +(-3.41115 + 1.24156i) q^{5} +(-0.670539 + 1.92074i) q^{6} +(-1.99948 + 1.73265i) q^{7} +(-1.53891 - 2.66548i) q^{8} +(1.56800 + 2.55761i) q^{9} +(2.13189 + 3.69255i) q^{10} +(0.000515903 + 0.000187773i) q^{11} +(-1.06057 - 0.172616i) q^{12} +(-2.69743 + 0.981783i) q^{13} +(2.41202 + 1.95947i) q^{14} +(6.20581 + 1.01005i) q^{15} +(-1.81888 + 1.52622i) q^{16} +(-2.53989 - 4.39921i) q^{17} +(2.63865 - 2.33541i) q^{18} +(1.08055 - 1.87157i) q^{19} +(-1.72514 + 1.44757i) q^{20} +(4.48791 - 0.926635i) q^{21} +(0.000111978 - 0.000635059i) q^{22} +(-1.20838 + 6.85309i) q^{23} +(0.0703100 + 5.33049i) q^{24} +(6.26426 - 5.25634i) q^{25} +(1.68583 + 2.91995i) q^{26} +(-0.205549 - 5.19209i) q^{27} +(-0.797992 + 1.43432i) q^{28} +(-7.97979 - 2.90441i) q^{29} +(-0.0974020 - 7.38445i) q^{30} +(-1.25345 + 0.456219i) q^{31} +(-2.57909 - 2.16412i) q^{32} +(-0.000620793 - 0.000720320i) q^{33} +(-4.57065 + 3.83523i) q^{34} +(4.66936 - 8.39279i) q^{35} +(1.45677 + 1.15829i) q^{36} -4.25405 q^{37} +(-2.38529 - 0.868174i) q^{38} +(4.90735 + 0.798712i) q^{39} +(8.55880 + 7.18169i) q^{40} +(3.15472 - 1.14822i) q^{41} +(-1.98723 - 5.00230i) q^{42} +(-1.87937 - 10.6584i) q^{43} +0.000340595 q^{44} +(-8.52411 - 6.77762i) q^{45} +8.17363 q^{46} +(6.51821 + 2.37243i) q^{47} +(4.04029 - 0.767490i) q^{48} +(0.995880 - 6.92880i) q^{49} +(-7.35783 - 6.17395i) q^{50} +(0.116042 + 8.79765i) q^{51} +(-1.36419 + 1.14469i) q^{52} +(2.44073 - 4.22748i) q^{53} +(-5.96391 + 1.29676i) q^{54} -0.00199295 q^{55} +(7.69536 + 2.66319i) q^{56} +(-3.21668 + 1.91416i) q^{57} +(-1.73203 + 9.82285i) q^{58} +(5.33053 + 4.47285i) q^{59} +(3.83207 - 0.727936i) q^{60} +(-1.54932 - 0.563906i) q^{61} +(0.783379 + 1.35685i) q^{62} +(-7.56663 - 2.39710i) q^{63} +(-4.35164 + 7.53726i) q^{64} +(7.98239 - 6.69802i) q^{65} +(-0.000706597 + 0.000865007i) q^{66} +(-2.57130 + 14.5826i) q^{67} +(-2.41409 - 2.02566i) q^{68} +(7.62507 - 9.33452i) q^{69} +(-10.6606 - 3.68938i) q^{70} +(-4.45552 + 7.71718i) q^{71} +(4.40422 - 8.11541i) q^{72} -3.56587 q^{73} +(0.867667 + 4.92078i) q^{74} +(-13.9149 + 2.64325i) q^{75} +(0.232810 - 1.32033i) q^{76} +(-0.00135689 + 0.000518427i) q^{77} +(-0.0770224 - 5.83938i) q^{78} +(-0.856561 - 4.85780i) q^{79} +(4.30958 - 7.46441i) q^{80} +(-4.08273 + 8.02068i) q^{81} +(-1.97163 - 3.41496i) q^{82} +(4.35490 + 1.58505i) q^{83} +(2.41967 - 1.49245i) q^{84} +(14.1258 + 11.8530i) q^{85} +(-11.9456 + 4.34783i) q^{86} +(9.60218 + 11.1416i) q^{87} +(-0.000293425 - 0.00166409i) q^{88} +(-0.167028 + 0.289300i) q^{89} +(-6.10127 + 11.2425i) q^{90} +(3.69238 - 6.63674i) q^{91} +(0.749654 + 4.25150i) q^{92} +(2.28037 + 0.371149i) q^{93} +(1.41479 - 8.02369i) q^{94} +(-1.36226 + 7.72576i) q^{95} +(2.06656 + 5.45296i) q^{96} +(1.55231 + 8.80360i) q^{97} +(-8.21786 + 0.261251i) q^{98} +(0.000328687 + 0.00161391i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9} + 3 q^{10} - 15 q^{11} - 3 q^{12} - 12 q^{13} - 30 q^{14} + 9 q^{16} + 27 q^{17} - 3 q^{18} + 3 q^{19} - 18 q^{20} + 15 q^{21} - 12 q^{22} - 36 q^{23} - 72 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 3 q^{30} - 3 q^{31} - 75 q^{32} + 15 q^{33} - 18 q^{34} + 15 q^{35} - 60 q^{36} - 6 q^{37} + 69 q^{38} + 51 q^{39} + 51 q^{40} - 39 q^{42} - 12 q^{43} - 6 q^{44} - 21 q^{45} - 6 q^{46} - 21 q^{47} + 90 q^{48} - 42 q^{49} - 39 q^{50} + 33 q^{51} + 9 q^{52} + 9 q^{53} - 9 q^{54} - 24 q^{55} + 111 q^{56} - 18 q^{57} - 3 q^{58} + 27 q^{59} - 63 q^{60} - 21 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} - 90 q^{65} - 3 q^{66} - 3 q^{67} - 30 q^{68} - 6 q^{69} + 39 q^{70} - 18 q^{71} + 183 q^{72} - 42 q^{73} + 51 q^{74} - 45 q^{75} - 24 q^{76} + 15 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} - 87 q^{81} - 6 q^{82} - 42 q^{83} + 135 q^{84} - 63 q^{85} - 93 q^{86} + 75 q^{87} - 51 q^{88} + 75 q^{89} - 39 q^{90} - 21 q^{91} - 66 q^{92} + 81 q^{93} + 33 q^{94} + 15 q^{95} - 171 q^{96} - 12 q^{97} - 36 q^{98} + 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.203963 1.15673i −0.144223 0.817931i −0.967987 0.250998i \(-0.919241\pi\)
0.823764 0.566933i \(-0.191870\pi\)
\(3\) −1.51129 0.846167i −0.872545 0.488534i
\(4\) 0.582964 0.212181i 0.291482 0.106091i
\(5\) −3.41115 + 1.24156i −1.52551 + 0.555241i −0.962518 0.271219i \(-0.912573\pi\)
−0.562995 + 0.826460i \(0.690351\pi\)
\(6\) −0.670539 + 1.92074i −0.273746 + 0.784139i
\(7\) −1.99948 + 1.73265i −0.755734 + 0.654878i
\(8\) −1.53891 2.66548i −0.544088 0.942388i
\(9\) 1.56800 + 2.55761i 0.522668 + 0.852536i
\(10\) 2.13189 + 3.69255i 0.674163 + 1.16769i
\(11\) 0.000515903 0 0.000187773i 0.000155551 0 5.66158e-5i 0.342098 0.939664i \(-0.388863\pi\)
−0.341942 + 0.939721i \(0.611085\pi\)
\(12\) −1.06057 0.172616i −0.306160 0.0498301i
\(13\) −2.69743 + 0.981783i −0.748132 + 0.272298i −0.687819 0.725882i \(-0.741432\pi\)
−0.0603123 + 0.998180i \(0.519210\pi\)
\(14\) 2.41202 + 1.95947i 0.644640 + 0.523690i
\(15\) 6.20581 + 1.01005i 1.60233 + 0.260793i
\(16\) −1.81888 + 1.52622i −0.454720 + 0.381555i
\(17\) −2.53989 4.39921i −0.616013 1.06697i −0.990206 0.139614i \(-0.955414\pi\)
0.374193 0.927351i \(-0.377920\pi\)
\(18\) 2.63865 2.33541i 0.621935 0.550462i
\(19\) 1.08055 1.87157i 0.247895 0.429367i −0.715046 0.699077i \(-0.753594\pi\)
0.962942 + 0.269710i \(0.0869278\pi\)
\(20\) −1.72514 + 1.44757i −0.385753 + 0.323685i
\(21\) 4.48791 0.926635i 0.979343 0.202208i
\(22\) 0.000111978 0 0.000635059i 2.38738e−5 0 0.000135395i
\(23\) −1.20838 + 6.85309i −0.251966 + 1.42897i 0.551778 + 0.833991i \(0.313950\pi\)
−0.803743 + 0.594976i \(0.797161\pi\)
\(24\) 0.0703100 + 5.33049i 0.0143520 + 1.08808i
\(25\) 6.26426 5.25634i 1.25285 1.05127i
\(26\) 1.68583 + 2.91995i 0.330619 + 0.572648i
\(27\) −0.205549 5.19209i −0.0395579 0.999217i
\(28\) −0.797992 + 1.43432i −0.150806 + 0.271062i
\(29\) −7.97979 2.90441i −1.48181 0.539335i −0.530531 0.847665i \(-0.678008\pi\)
−0.951279 + 0.308330i \(0.900230\pi\)
\(30\) −0.0974020 7.38445i −0.0177831 1.34821i
\(31\) −1.25345 + 0.456219i −0.225126 + 0.0819393i −0.452121 0.891957i \(-0.649332\pi\)
0.226994 + 0.973896i \(0.427110\pi\)
\(32\) −2.57909 2.16412i −0.455924 0.382566i
\(33\) −0.000620793 0 0.000720320i −0.000108066 0 0.000125392i
\(34\) −4.57065 + 3.83523i −0.783861 + 0.657737i
\(35\) 4.66936 8.39279i 0.789267 1.41864i
\(36\) 1.45677 + 1.15829i 0.242794 + 0.193049i
\(37\) −4.25405 −0.699362 −0.349681 0.936869i \(-0.613710\pi\)
−0.349681 + 0.936869i \(0.613710\pi\)
\(38\) −2.38529 0.868174i −0.386945 0.140836i
\(39\) 4.90735 + 0.798712i 0.785805 + 0.127896i
\(40\) 8.55880 + 7.18169i 1.35327 + 1.13552i
\(41\) 3.15472 1.14822i 0.492684 0.179322i −0.0837167 0.996490i \(-0.526679\pi\)
0.576400 + 0.817167i \(0.304457\pi\)
\(42\) −1.98723 5.00230i −0.306636 0.771871i
\(43\) −1.87937 10.6584i −0.286601 1.62539i −0.699512 0.714621i \(-0.746599\pi\)
0.412911 0.910771i \(-0.364512\pi\)
\(44\) 0.000340595 0 5.13466e−5 0
\(45\) −8.52411 6.77762i −1.27070 1.01035i
\(46\) 8.17363 1.20514
\(47\) 6.51821 + 2.37243i 0.950779 + 0.346055i 0.770413 0.637545i \(-0.220050\pi\)
0.180365 + 0.983600i \(0.442272\pi\)
\(48\) 4.04029 0.767490i 0.583166 0.110778i
\(49\) 0.995880 6.92880i 0.142269 0.989828i
\(50\) −7.35783 6.17395i −1.04055 0.873129i
\(51\) 0.116042 + 8.79765i 0.0162492 + 1.23192i
\(52\) −1.36419 + 1.14469i −0.189179 + 0.158740i
\(53\) 2.44073 4.22748i 0.335261 0.580689i −0.648274 0.761407i \(-0.724509\pi\)
0.983535 + 0.180718i \(0.0578423\pi\)
\(54\) −5.96391 + 1.29676i −0.811586 + 0.176466i
\(55\) −0.00199295 −0.000268730
\(56\) 7.69536 + 2.66319i 1.02834 + 0.355883i
\(57\) −3.21668 + 1.91416i −0.426060 + 0.253537i
\(58\) −1.73203 + 9.82285i −0.227427 + 1.28980i
\(59\) 5.33053 + 4.47285i 0.693976 + 0.582315i 0.920053 0.391794i \(-0.128145\pi\)
−0.226077 + 0.974110i \(0.572590\pi\)
\(60\) 3.83207 0.727936i 0.494718 0.0939762i
\(61\) −1.54932 0.563906i −0.198370 0.0722007i 0.240925 0.970544i \(-0.422549\pi\)
−0.439295 + 0.898343i \(0.644772\pi\)
\(62\) 0.783379 + 1.35685i 0.0994892 + 0.172320i
\(63\) −7.56663 2.39710i −0.953306 0.302007i
\(64\) −4.35164 + 7.53726i −0.543955 + 0.942157i
\(65\) 7.98239 6.69802i 0.990093 0.830787i
\(66\) −0.000706597 0 0.000865007i −8.69761e−5 0 0.000106475i
\(67\) −2.57130 + 14.5826i −0.314134 + 1.78154i 0.262900 + 0.964823i \(0.415321\pi\)
−0.577034 + 0.816720i \(0.695790\pi\)
\(68\) −2.41409 2.02566i −0.292752 0.245648i
\(69\) 7.62507 9.33452i 0.917951 1.12374i
\(70\) −10.6606 3.68938i −1.27418 0.440965i
\(71\) −4.45552 + 7.71718i −0.528773 + 0.915861i 0.470664 + 0.882312i \(0.344014\pi\)
−0.999437 + 0.0335489i \(0.989319\pi\)
\(72\) 4.40422 8.11541i 0.519042 0.956411i
\(73\) −3.56587 −0.417354 −0.208677 0.977985i \(-0.566916\pi\)
−0.208677 + 0.977985i \(0.566916\pi\)
\(74\) 0.867667 + 4.92078i 0.100864 + 0.572029i
\(75\) −13.9149 + 2.64325i −1.60675 + 0.305216i
\(76\) 0.232810 1.32033i 0.0267051 0.151452i
\(77\) −0.00135689 0.000518427i −0.000154631 5.90803e-5i
\(78\) −0.0770224 5.83938i −0.00872107 0.661180i
\(79\) −0.856561 4.85780i −0.0963706 0.546545i −0.994319 0.106444i \(-0.966054\pi\)
0.897948 0.440101i \(-0.145057\pi\)
\(80\) 4.30958 7.46441i 0.481826 0.834547i
\(81\) −4.08273 + 8.02068i −0.453636 + 0.891187i
\(82\) −1.97163 3.41496i −0.217730 0.377119i
\(83\) 4.35490 + 1.58505i 0.478013 + 0.173982i 0.569779 0.821798i \(-0.307029\pi\)
−0.0917660 + 0.995781i \(0.529251\pi\)
\(84\) 2.41967 1.49245i 0.264008 0.162839i
\(85\) 14.1258 + 11.8530i 1.53216 + 1.28563i
\(86\) −11.9456 + 4.34783i −1.28812 + 0.468839i
\(87\) 9.60218 + 11.1416i 1.02946 + 1.19451i
\(88\) −0.000293425 0.00166409i −3.12792e−5 0.000177393i
\(89\) −0.167028 + 0.289300i −0.0177049 + 0.0306658i −0.874742 0.484589i \(-0.838969\pi\)
0.857037 + 0.515255i \(0.172303\pi\)
\(90\) −6.10127 + 11.2425i −0.643130 + 1.18506i
\(91\) 3.69238 6.63674i 0.387067 0.695720i
\(92\) 0.749654 + 4.25150i 0.0781568 + 0.443249i
\(93\) 2.28037 + 0.371149i 0.236463 + 0.0384863i
\(94\) 1.41479 8.02369i 0.145925 0.827581i
\(95\) −1.36226 + 7.72576i −0.139765 + 0.792646i
\(96\) 2.06656 + 5.45296i 0.210917 + 0.556540i
\(97\) 1.55231 + 8.80360i 0.157614 + 0.893871i 0.956357 + 0.292199i \(0.0943871\pi\)
−0.798744 + 0.601671i \(0.794502\pi\)
\(98\) −8.21786 + 0.261251i −0.830130 + 0.0263904i
\(99\) 0.000328687 0.00161391i 3.30343e−5 0.000162204i
\(100\) 2.53654 4.39341i 0.253654 0.439341i
\(101\) 0.734363 + 4.16478i 0.0730718 + 0.414411i 0.999299 + 0.0374443i \(0.0119217\pi\)
−0.926227 + 0.376966i \(0.876967\pi\)
\(102\) 10.1528 1.92862i 1.00528 0.190962i
\(103\) −5.28422 + 1.92330i −0.520670 + 0.189508i −0.588967 0.808157i \(-0.700465\pi\)
0.0682979 + 0.997665i \(0.478243\pi\)
\(104\) 6.76802 + 5.67905i 0.663659 + 0.556876i
\(105\) −14.1585 + 8.73289i −1.38172 + 0.852243i
\(106\) −5.38786 1.96102i −0.523316 0.190471i
\(107\) 1.16415 + 2.01637i 0.112543 + 0.194929i 0.916795 0.399359i \(-0.130767\pi\)
−0.804252 + 0.594288i \(0.797434\pi\)
\(108\) −1.22149 2.98318i −0.117538 0.287057i
\(109\) 6.34077 10.9825i 0.607336 1.05194i −0.384342 0.923191i \(-0.625572\pi\)
0.991678 0.128746i \(-0.0410951\pi\)
\(110\) 0.000406488 0.00230531i 3.87571e−5 0.000219803i
\(111\) 6.42911 + 3.59963i 0.610224 + 0.341662i
\(112\) 0.992422 6.20313i 0.0937751 0.586141i
\(113\) 1.25181 7.09938i 0.117761 0.667854i −0.867586 0.497288i \(-0.834329\pi\)
0.985346 0.170566i \(-0.0545596\pi\)
\(114\) 2.87025 + 3.33042i 0.268823 + 0.311922i
\(115\) −4.38652 24.8772i −0.409045 2.31981i
\(116\) −5.26819 −0.489139
\(117\) −6.74059 5.35952i −0.623168 0.495488i
\(118\) 4.08665 7.07828i 0.376206 0.651608i
\(119\) 12.7007 + 4.39543i 1.16427 + 0.402929i
\(120\) −6.85794 18.0958i −0.626041 1.65191i
\(121\) −8.42649 7.07066i −0.766044 0.642788i
\(122\) −0.336283 + 1.90716i −0.0304457 + 0.172666i
\(123\) −5.73928 0.934116i −0.517494 0.0842264i
\(124\) −0.633915 + 0.531918i −0.0569273 + 0.0477676i
\(125\) −5.76711 + 9.98892i −0.515826 + 0.893436i
\(126\) −1.22949 + 9.24146i −0.109532 + 0.823295i
\(127\) 2.42965 + 4.20828i 0.215597 + 0.373425i 0.953457 0.301529i \(-0.0974969\pi\)
−0.737860 + 0.674954i \(0.764164\pi\)
\(128\) 3.27868 + 1.19334i 0.289797 + 0.105478i
\(129\) −6.17852 + 17.6982i −0.543989 + 1.55824i
\(130\) −9.37590 7.86732i −0.822321 0.690009i
\(131\) −2.27814 + 12.9200i −0.199042 + 1.12882i 0.707501 + 0.706712i \(0.249822\pi\)
−0.906544 + 0.422112i \(0.861289\pi\)
\(132\) −0.000514738 0 0.000288200i −4.48022e−5 0 2.50846e-5i
\(133\) 1.08222 + 5.61438i 0.0938403 + 0.486829i
\(134\) 17.3925 1.50248
\(135\) 7.14743 + 17.4558i 0.615153 + 1.50235i
\(136\) −7.81732 + 13.5400i −0.670330 + 1.16105i
\(137\) 0.752660 0.631556i 0.0643040 0.0539575i −0.610069 0.792348i \(-0.708858\pi\)
0.674373 + 0.738391i \(0.264414\pi\)
\(138\) −12.3527 6.91625i −1.05153 0.588751i
\(139\) −12.7170 10.6708i −1.07864 0.905089i −0.0828359 0.996563i \(-0.526398\pi\)
−0.995807 + 0.0914740i \(0.970842\pi\)
\(140\) 0.941277 5.88344i 0.0795524 0.497242i
\(141\) −7.84344 9.10093i −0.660537 0.766437i
\(142\) 9.83545 + 3.57981i 0.825373 + 0.300411i
\(143\) −0.00157596 −0.000131789
\(144\) −6.75549 2.25886i −0.562957 0.188238i
\(145\) 30.8263 2.55998
\(146\) 0.727304 + 4.12475i 0.0601921 + 0.341366i
\(147\) −7.36798 + 9.62875i −0.607701 + 0.794166i
\(148\) −2.47996 + 0.902630i −0.203851 + 0.0741958i
\(149\) −10.1419 8.51010i −0.830860 0.697174i 0.124628 0.992204i \(-0.460226\pi\)
−0.955488 + 0.295029i \(0.904671\pi\)
\(150\) 5.89563 + 15.5566i 0.481377 + 1.27019i
\(151\) 11.6208 + 4.22964i 0.945690 + 0.344203i 0.768410 0.639957i \(-0.221048\pi\)
0.177280 + 0.984161i \(0.443270\pi\)
\(152\) −6.65149 −0.539507
\(153\) 7.26891 13.3940i 0.587656 1.08284i
\(154\) 0.000876434 0.00146381i 7.06250e−5 0.000117957i
\(155\) 3.70929 3.11246i 0.297937 0.249999i
\(156\) 3.03028 0.575629i 0.242616 0.0460872i
\(157\) −9.27592 7.78342i −0.740299 0.621185i 0.192619 0.981274i \(-0.438302\pi\)
−0.932918 + 0.360089i \(0.882746\pi\)
\(158\) −5.44445 + 1.98162i −0.433137 + 0.157649i
\(159\) −7.26581 + 4.32368i −0.576216 + 0.342890i
\(160\) 11.4846 + 4.18004i 0.907934 + 0.330461i
\(161\) −9.45782 15.7963i −0.745381 1.24493i
\(162\) 10.1105 + 3.08669i 0.794354 + 0.242513i
\(163\) −5.48069 9.49283i −0.429281 0.743536i 0.567529 0.823354i \(-0.307900\pi\)
−0.996809 + 0.0798174i \(0.974566\pi\)
\(164\) 1.59545 1.33874i 0.124584 0.104538i
\(165\) 0.00301194 + 0.00168637i 0.000234479 + 0.000131284i
\(166\) 0.945242 5.36073i 0.0733650 0.416074i
\(167\) 0.770807 4.37146i 0.0596468 0.338274i −0.940351 0.340205i \(-0.889504\pi\)
0.999998 + 0.00193094i \(0.000614637\pi\)
\(168\) −9.37643 10.5364i −0.723407 0.812901i
\(169\) −3.64636 + 3.05966i −0.280490 + 0.235359i
\(170\) 10.8295 18.7573i 0.830586 1.43862i
\(171\) 6.48104 0.171002i 0.495618 0.0130768i
\(172\) −3.35712 5.81470i −0.255978 0.443367i
\(173\) −1.77823 + 1.49211i −0.135196 + 0.113443i −0.707878 0.706335i \(-0.750347\pi\)
0.572682 + 0.819778i \(0.305903\pi\)
\(174\) 10.9294 13.3796i 0.828554 1.01431i
\(175\) −3.41792 + 21.3637i −0.258371 + 1.61494i
\(176\) −0.00122495 0.000445845i −9.23340e−5 3.36068e-5i
\(177\) −4.27122 11.2703i −0.321044 0.847127i
\(178\) 0.368709 + 0.134199i 0.0276359 + 0.0100587i
\(179\) 1.56939 + 2.71826i 0.117302 + 0.203172i 0.918697 0.394962i \(-0.129242\pi\)
−0.801396 + 0.598134i \(0.795909\pi\)
\(180\) −6.40733 2.14245i −0.477575 0.159689i
\(181\) −1.69438 2.93476i −0.125942 0.218139i 0.796158 0.605088i \(-0.206862\pi\)
−0.922101 + 0.386949i \(0.873529\pi\)
\(182\) −8.43002 2.91744i −0.624875 0.216255i
\(183\) 1.86431 + 2.16321i 0.137814 + 0.159909i
\(184\) 20.1263 7.32539i 1.48373 0.540035i
\(185\) 14.5112 5.28165i 1.06688 0.388314i
\(186\) −0.0357911 2.71347i −0.00262433 0.198961i
\(187\) −0.000484280 0.00274649i −3.54141e−5 0.000200843i
\(188\) 4.30327 0.313848
\(189\) 9.40703 + 10.0254i 0.684261 + 0.729237i
\(190\) 9.21446 0.668487
\(191\) −0.188414 1.06855i −0.0136332 0.0773176i 0.977232 0.212173i \(-0.0680541\pi\)
−0.990865 + 0.134856i \(0.956943\pi\)
\(192\) 12.9544 7.70878i 0.934901 0.556333i
\(193\) 9.37963 3.41391i 0.675161 0.245738i 0.0183924 0.999831i \(-0.494145\pi\)
0.656768 + 0.754092i \(0.271923\pi\)
\(194\) 9.86677 3.59121i 0.708393 0.257834i
\(195\) −17.7314 + 3.36823i −1.26977 + 0.241204i
\(196\) −0.889600 4.25054i −0.0635429 0.303610i
\(197\) −4.71108 8.15983i −0.335650 0.581364i 0.647959 0.761675i \(-0.275623\pi\)
−0.983610 + 0.180311i \(0.942289\pi\)
\(198\) 0.00179981 0.000709379i 0.000127907 5.04134e-5i
\(199\) −1.32014 2.28655i −0.0935822 0.162089i 0.815434 0.578850i \(-0.196498\pi\)
−0.909016 + 0.416761i \(0.863165\pi\)
\(200\) −23.6508 8.60818i −1.67236 0.608690i
\(201\) 16.2253 19.8627i 1.14444 1.40101i
\(202\) 4.66774 1.69892i 0.328421 0.119535i
\(203\) 20.9878 8.01883i 1.47305 0.562812i
\(204\) 1.93435 + 5.10409i 0.135431 + 0.357358i
\(205\) −9.33562 + 7.83352i −0.652028 + 0.547117i
\(206\) 3.30252 + 5.72013i 0.230097 + 0.398540i
\(207\) −19.4223 + 7.65510i −1.34994 + 0.532066i
\(208\) 3.40788 5.90261i 0.236294 0.409273i
\(209\) 0.000908890 0 0.000762649i 6.28692e−5 0 5.27535e-5i
\(210\) 12.9894 + 14.5963i 0.896353 + 1.00724i
\(211\) −4.06625 + 23.0609i −0.279932 + 1.58758i 0.442912 + 0.896565i \(0.353945\pi\)
−0.722844 + 0.691011i \(0.757166\pi\)
\(212\) 0.525868 2.98234i 0.0361167 0.204828i
\(213\) 13.2636 7.89280i 0.908808 0.540806i
\(214\) 2.09495 1.75787i 0.143208 0.120165i
\(215\) 19.6438 + 34.0241i 1.33970 + 2.32042i
\(216\) −13.5231 + 8.53805i −0.920127 + 0.580941i
\(217\) 1.71579 3.08399i 0.116475 0.209355i
\(218\) −13.9971 5.09453i −0.948004 0.345045i
\(219\) 5.38907 + 3.01732i 0.364160 + 0.203892i
\(220\) −0.00116182 0.000422868i −7.83299e−5 2.85097e-5i
\(221\) 11.1702 + 9.37293i 0.751391 + 0.630492i
\(222\) 2.85250 8.17093i 0.191448 0.548397i
\(223\) 0.440602 0.369709i 0.0295049 0.0247576i −0.627916 0.778281i \(-0.716092\pi\)
0.657421 + 0.753524i \(0.271647\pi\)
\(224\) 8.90651 0.141536i 0.595091 0.00945678i
\(225\) 23.2660 + 7.77956i 1.55107 + 0.518637i
\(226\) −8.46738 −0.563242
\(227\) −0.578975 0.210730i −0.0384279 0.0139866i 0.322735 0.946489i \(-0.395398\pi\)
−0.361163 + 0.932503i \(0.617620\pi\)
\(228\) −1.46906 + 1.79841i −0.0972909 + 0.119102i
\(229\) −21.5720 18.1011i −1.42552 1.19615i −0.948302 0.317370i \(-0.897200\pi\)
−0.477219 0.878784i \(-0.658355\pi\)
\(230\) −27.8815 + 10.1480i −1.83845 + 0.669141i
\(231\) 0.00248932 0.000364656i 0.000163786 2.39926e-5i
\(232\) 4.53858 + 25.7396i 0.297972 + 1.68989i
\(233\) −26.9066 −1.76271 −0.881355 0.472454i \(-0.843368\pi\)
−0.881355 + 0.472454i \(0.843368\pi\)
\(234\) −4.82469 + 8.89018i −0.315400 + 0.581169i
\(235\) −25.1801 −1.64257
\(236\) 4.05656 + 1.47647i 0.264060 + 0.0961099i
\(237\) −2.81599 + 8.06634i −0.182918 + 0.523965i
\(238\) 2.49385 15.5878i 0.161652 1.01041i
\(239\) −8.20393 6.88392i −0.530668 0.445283i 0.337664 0.941267i \(-0.390363\pi\)
−0.868332 + 0.495983i \(0.834808\pi\)
\(240\) −12.8292 + 7.63428i −0.828119 + 0.492791i
\(241\) −16.8377 + 14.1285i −1.08461 + 0.910096i −0.996295 0.0859963i \(-0.972593\pi\)
−0.0883151 + 0.996093i \(0.528148\pi\)
\(242\) −6.46015 + 11.1893i −0.415274 + 0.719276i
\(243\) 12.9570 8.66693i 0.831193 0.555984i
\(244\) −1.02285 −0.0654810
\(245\) 5.20540 + 24.8716i 0.332561 + 1.58899i
\(246\) 0.0900798 + 6.82932i 0.00574328 + 0.435421i
\(247\) −1.07723 + 6.10928i −0.0685426 + 0.388724i
\(248\) 3.14499 + 2.63896i 0.199707 + 0.167574i
\(249\) −5.24031 6.08045i −0.332091 0.385333i
\(250\) 12.7307 + 4.63361i 0.805163 + 0.293055i
\(251\) −14.7977 25.6303i −0.934019 1.61777i −0.776373 0.630274i \(-0.782943\pi\)
−0.157646 0.987496i \(-0.550391\pi\)
\(252\) −4.91969 + 0.208073i −0.309911 + 0.0131074i
\(253\) −0.00191024 + 0.00330863i −0.000120096 + 0.000208012i
\(254\) 4.37229 3.66878i 0.274342 0.230200i
\(255\) −11.3186 29.8660i −0.708800 1.87028i
\(256\) −2.31097 + 13.1062i −0.144436 + 0.819135i
\(257\) 5.97570 + 5.01421i 0.372754 + 0.312778i 0.809850 0.586637i \(-0.199549\pi\)
−0.437096 + 0.899415i \(0.643993\pi\)
\(258\) 21.7322 + 3.53710i 1.35299 + 0.220210i
\(259\) 8.50591 7.37076i 0.528531 0.457997i
\(260\) 3.23225 5.59842i 0.200455 0.347199i
\(261\) −5.08401 24.9633i −0.314693 1.54519i
\(262\) 15.4096 0.952007
\(263\) −2.36049 13.3870i −0.145554 0.825477i −0.966921 0.255077i \(-0.917899\pi\)
0.821367 0.570400i \(-0.193212\pi\)
\(264\) −0.000964650 0.00276322i −5.93701e−5 0.000170064i
\(265\) −3.07706 + 17.4509i −0.189022 + 1.07200i
\(266\) 6.27359 2.39696i 0.384658 0.146967i
\(267\) 0.497223 0.295884i 0.0304296 0.0181078i
\(268\) 1.59517 + 9.04668i 0.0974408 + 0.552614i
\(269\) −10.0377 + 17.3859i −0.612011 + 1.06003i 0.378890 + 0.925442i \(0.376306\pi\)
−0.990901 + 0.134592i \(0.957028\pi\)
\(270\) 18.7338 11.8280i 1.14010 0.719827i
\(271\) 5.18251 + 8.97638i 0.314815 + 0.545276i 0.979398 0.201938i \(-0.0647241\pi\)
−0.664583 + 0.747215i \(0.731391\pi\)
\(272\) 11.3339 + 4.12521i 0.687219 + 0.250127i
\(273\) −11.1961 + 6.90569i −0.677616 + 0.417951i
\(274\) −0.884054 0.741809i −0.0534077 0.0448143i
\(275\) 0.00421875 0.00153550i 0.000254400 9.25941e-5i
\(276\) 2.46453 7.05958i 0.148347 0.424937i
\(277\) 0.235573 + 1.33600i 0.0141542 + 0.0802724i 0.991067 0.133368i \(-0.0425791\pi\)
−0.976912 + 0.213640i \(0.931468\pi\)
\(278\) −9.74948 + 16.8866i −0.584735 + 1.01279i
\(279\) −3.13225 2.49048i −0.187523 0.149101i
\(280\) −29.5565 + 0.469692i −1.76634 + 0.0280695i
\(281\) 5.12956 + 29.0912i 0.306004 + 1.73544i 0.618740 + 0.785596i \(0.287643\pi\)
−0.312736 + 0.949840i \(0.601246\pi\)
\(282\) −8.92754 + 10.9290i −0.531628 + 0.650812i
\(283\) 1.92121 10.8957i 0.114204 0.647684i −0.872937 0.487833i \(-0.837787\pi\)
0.987141 0.159851i \(-0.0511015\pi\)
\(284\) −0.959962 + 5.44422i −0.0569633 + 0.323055i
\(285\) 8.59605 10.5232i 0.509186 0.623339i
\(286\) 0.000321438 0.00182296i 1.90070e−5 0.000107794i
\(287\) −4.31834 + 7.76186i −0.254904 + 0.458168i
\(288\) 1.49093 9.98966i 0.0878541 0.588646i
\(289\) −4.40203 + 7.62454i −0.258943 + 0.448503i
\(290\) −6.28740 35.6576i −0.369209 2.09389i
\(291\) 5.10332 14.6183i 0.299162 0.856942i
\(292\) −2.07877 + 0.756612i −0.121651 + 0.0442773i
\(293\) −11.9832 10.0551i −0.700064 0.587424i 0.221728 0.975109i \(-0.428830\pi\)
−0.921792 + 0.387685i \(0.873275\pi\)
\(294\) 12.6406 + 6.55885i 0.737218 + 0.382520i
\(295\) −23.7365 8.63940i −1.38200 0.503005i
\(296\) 6.54661 + 11.3391i 0.380514 + 0.659070i
\(297\) 0.000868892 0.00271721i 5.04182e−5 0.000157668i
\(298\) −7.77530 + 13.4672i −0.450411 + 0.780135i
\(299\) −3.46872 19.6721i −0.200601 1.13767i
\(300\) −7.55101 + 4.49339i −0.435958 + 0.259426i
\(301\) 22.2250 + 18.0551i 1.28103 + 1.04068i
\(302\) 2.52233 14.3048i 0.145144 0.823151i
\(303\) 2.41426 6.91558i 0.138696 0.397290i
\(304\) 0.891035 + 5.05331i 0.0511044 + 0.289827i
\(305\) 5.98508 0.342705
\(306\) −16.9758 5.67628i −0.970444 0.324491i
\(307\) −12.4569 + 21.5759i −0.710951 + 1.23140i 0.253550 + 0.967322i \(0.418402\pi\)
−0.964501 + 0.264081i \(0.914931\pi\)
\(308\) −0.000681014 0 0.000590130i −3.88044e−5 0 3.36258e-5i
\(309\) 9.61343 + 1.56466i 0.546889 + 0.0890107i
\(310\) −4.35683 3.65582i −0.247451 0.207636i
\(311\) 3.72042 21.0996i 0.210966 1.19645i −0.676806 0.736162i \(-0.736636\pi\)
0.887771 0.460284i \(-0.152253\pi\)
\(312\) −5.42304 14.3096i −0.307019 0.810120i
\(313\) 20.0098 16.7902i 1.13102 0.949038i 0.131912 0.991261i \(-0.457888\pi\)
0.999108 + 0.0422231i \(0.0134440\pi\)
\(314\) −7.11137 + 12.3173i −0.401318 + 0.695103i
\(315\) 28.7871 1.21752i 1.62197 0.0685994i
\(316\) −1.53008 2.65017i −0.0860736 0.149084i
\(317\) 21.2806 + 7.74551i 1.19524 + 0.435031i 0.861560 0.507656i \(-0.169488\pi\)
0.333679 + 0.942687i \(0.391710\pi\)
\(318\) 6.48328 + 7.52271i 0.363564 + 0.421852i
\(319\) −0.00357143 0.00299679i −0.000199962 0.000167788i
\(320\) 5.48615 31.1135i 0.306685 1.73930i
\(321\) −0.0531877 4.03238i −0.00296865 0.225066i
\(322\) −16.3431 + 14.1620i −0.910763 + 0.789218i
\(323\) −10.9779 −0.610826
\(324\) −0.678240 + 5.54205i −0.0376800 + 0.307891i
\(325\) −11.7368 + 20.3287i −0.651040 + 1.12763i
\(326\) −9.86278 + 8.27586i −0.546249 + 0.458357i
\(327\) −18.8758 + 11.2325i −1.04383 + 0.621157i
\(328\) −7.91539 6.64180i −0.437054 0.366732i
\(329\) −17.1436 + 6.55010i −0.945160 + 0.361119i
\(330\) 0.00133635 0.00382795i 7.35638e−5 0.000210722i
\(331\) 14.9869 + 5.45480i 0.823757 + 0.299823i 0.719294 0.694706i \(-0.244465\pi\)
0.104463 + 0.994529i \(0.466688\pi\)
\(332\) 2.87507 0.157790
\(333\) −6.67037 10.8802i −0.365534 0.596231i
\(334\) −5.21382 −0.285287
\(335\) −9.33399 52.9357i −0.509970 2.89219i
\(336\) −6.74872 + 8.53498i −0.368173 + 0.465621i
\(337\) 14.8992 5.42286i 0.811610 0.295402i 0.0973215 0.995253i \(-0.468972\pi\)
0.714289 + 0.699851i \(0.246750\pi\)
\(338\) 4.28292 + 3.59380i 0.232960 + 0.195477i
\(339\) −7.89911 + 9.66999i −0.429021 + 0.525202i
\(340\) 10.7498 + 3.91261i 0.582990 + 0.212191i
\(341\) −0.000732325 0 −3.96576e−5 0
\(342\) −1.51969 7.46193i −0.0821756 0.403495i
\(343\) 10.0139 + 15.5795i 0.540700 + 0.841216i
\(344\) −25.5176 + 21.4118i −1.37581 + 1.15445i
\(345\) −14.4209 + 41.3084i −0.776397 + 2.22397i
\(346\) 2.08866 + 1.75259i 0.112287 + 0.0942200i
\(347\) −3.27600 + 1.19236i −0.175865 + 0.0640095i −0.428452 0.903565i \(-0.640941\pi\)
0.252587 + 0.967574i \(0.418719\pi\)
\(348\) 7.96177 + 4.45777i 0.426796 + 0.238961i
\(349\) 4.72842 + 1.72101i 0.253107 + 0.0921233i 0.465458 0.885070i \(-0.345890\pi\)
−0.212351 + 0.977193i \(0.568112\pi\)
\(350\) 25.4091 0.403785i 1.35818 0.0215832i
\(351\) 5.65195 + 13.8035i 0.301679 + 0.736774i
\(352\) −0.000924199 0.00160076i −4.92600e−5 8.53208e-5i
\(353\) 4.79087 4.02002i 0.254992 0.213964i −0.506326 0.862342i \(-0.668997\pi\)
0.761319 + 0.648378i \(0.224552\pi\)
\(354\) −12.1655 + 7.23936i −0.646590 + 0.384768i
\(355\) 5.61712 31.8562i 0.298126 1.69075i
\(356\) −0.0359869 + 0.204092i −0.00190730 + 0.0108168i
\(357\) −15.4752 17.3897i −0.819037 0.920361i
\(358\) 2.82420 2.36978i 0.149263 0.125247i
\(359\) 1.12942 1.95621i 0.0596084 0.103245i −0.834681 0.550733i \(-0.814348\pi\)
0.894290 + 0.447489i \(0.147681\pi\)
\(360\) −4.94771 + 33.1510i −0.260767 + 1.74721i
\(361\) 7.16482 + 12.4098i 0.377096 + 0.653149i
\(362\) −3.04913 + 2.55852i −0.160259 + 0.134473i
\(363\) 6.75192 + 17.8160i 0.354384 + 0.935100i
\(364\) 0.744331 4.65244i 0.0390135 0.243854i
\(365\) 12.1637 4.42723i 0.636678 0.231732i
\(366\) 2.12199 2.59772i 0.110918 0.135785i
\(367\) 19.7427 + 7.18576i 1.03056 + 0.375094i 0.801295 0.598270i \(-0.204145\pi\)
0.229267 + 0.973364i \(0.426367\pi\)
\(368\) −8.26142 14.3092i −0.430656 0.745919i
\(369\) 7.88331 + 6.26811i 0.410389 + 0.326305i
\(370\) −9.06918 15.7083i −0.471484 0.816634i
\(371\) 2.44451 + 12.6817i 0.126912 + 0.658401i
\(372\) 1.40812 0.267485i 0.0730077 0.0138685i
\(373\) 10.5114 3.82582i 0.544258 0.198094i −0.0552355 0.998473i \(-0.517591\pi\)
0.599493 + 0.800380i \(0.295369\pi\)
\(374\) −0.00307817 + 0.00112036i −0.000159168 + 5.79325e-5i
\(375\) 17.1681 10.2162i 0.886555 0.527564i
\(376\) −3.70729 21.0251i −0.191189 1.08429i
\(377\) 24.3764 1.25545
\(378\) 9.67794 12.9262i 0.497779 0.664851i
\(379\) 25.6070 1.31535 0.657673 0.753304i \(-0.271541\pi\)
0.657673 + 0.753304i \(0.271541\pi\)
\(380\) 0.845115 + 4.79288i 0.0433535 + 0.245870i
\(381\) −0.111006 8.41584i −0.00568702 0.431156i
\(382\) −1.19759 + 0.435889i −0.0612743 + 0.0223020i
\(383\) −15.7956 + 5.74913i −0.807118 + 0.293767i −0.712433 0.701740i \(-0.752407\pi\)
−0.0946850 + 0.995507i \(0.530184\pi\)
\(384\) −3.94528 4.57780i −0.201331 0.233610i
\(385\) 0.00398488 0.00345308i 0.000203088 0.000175985i
\(386\) −5.86206 10.1534i −0.298371 0.516794i
\(387\) 24.3132 21.5191i 1.23591 1.09388i
\(388\) 2.77290 + 4.80281i 0.140773 + 0.243826i
\(389\) −3.75763 1.36767i −0.190519 0.0693434i 0.244999 0.969523i \(-0.421213\pi\)
−0.435518 + 0.900180i \(0.643435\pi\)
\(390\) 7.51266 + 19.8234i 0.380418 + 1.00380i
\(391\) 33.2173 12.0901i 1.67987 0.611424i
\(392\) −20.0011 + 8.00832i −1.01021 + 0.404481i
\(393\) 14.3754 17.5982i 0.725143 0.887711i
\(394\) −8.47783 + 7.11374i −0.427107 + 0.358385i
\(395\) 8.95309 + 15.5072i 0.450479 + 0.780252i
\(396\) 0.000534054 0 0.000871108i 2.68372e−5 0 4.37748e-5i
\(397\) −11.0773 + 19.1864i −0.555952 + 0.962937i 0.441877 + 0.897076i \(0.354313\pi\)
−0.997829 + 0.0658616i \(0.979020\pi\)
\(398\) −2.37566 + 1.99341i −0.119081 + 0.0999208i
\(399\) 3.11515 9.40070i 0.155953 0.470624i
\(400\) −3.37160 + 19.1213i −0.168580 + 0.956064i
\(401\) 1.04905 5.94943i 0.0523868 0.297100i −0.947346 0.320211i \(-0.896246\pi\)
0.999733 + 0.0231111i \(0.00735714\pi\)
\(402\) −26.2852 14.7170i −1.31098 0.734016i
\(403\) 2.93318 2.46123i 0.146112 0.122603i
\(404\) 1.31179 + 2.27210i 0.0652642 + 0.113041i
\(405\) 3.96865 32.4287i 0.197204 1.61139i
\(406\) −13.5563 22.6416i −0.672790 1.12369i
\(407\) −0.00219468 0.000798797i −0.000108786 3.95949e-5i
\(408\) 23.2714 13.8481i 1.15210 0.685585i
\(409\) −22.4229 + 8.16126i −1.10874 + 0.403549i −0.830531 0.556972i \(-0.811963\pi\)
−0.278209 + 0.960521i \(0.589741\pi\)
\(410\) 10.9654 + 9.20104i 0.541541 + 0.454407i
\(411\) −1.67189 + 0.317590i −0.0824682 + 0.0156656i
\(412\) −2.67242 + 2.24243i −0.131661 + 0.110476i
\(413\) −18.4082 + 0.292530i −0.905807 + 0.0143945i
\(414\) 12.8163 + 20.9049i 0.629886 + 1.02742i
\(415\) −16.8232 −0.825816
\(416\) 9.08161 + 3.30544i 0.445263 + 0.162062i
\(417\) 10.1898 + 26.8875i 0.498997 + 1.31669i
\(418\) −0.00106756 0.000895787i −5.22160e−5 4.38144e-5i
\(419\) 26.4887 9.64110i 1.29406 0.470998i 0.399001 0.916951i \(-0.369357\pi\)
0.895057 + 0.445952i \(0.147135\pi\)
\(420\) −6.40092 + 8.09512i −0.312333 + 0.395001i
\(421\) −6.16048 34.9378i −0.300243 1.70277i −0.645090 0.764106i \(-0.723180\pi\)
0.344847 0.938659i \(-0.387931\pi\)
\(422\) 27.5045 1.33890
\(423\) 4.15282 + 20.3910i 0.201917 + 0.991445i
\(424\) −15.0243 −0.729645
\(425\) −39.0342 14.2073i −1.89344 0.689155i
\(426\) −11.8351 13.7326i −0.573413 0.665345i
\(427\) 4.07489 1.55690i 0.197198 0.0753436i
\(428\) 1.10649 + 0.928457i 0.0534843 + 0.0448787i
\(429\) 0.00238174 + 0.00133353i 0.000114992 + 6.43833e-5i
\(430\) 35.3501 29.6622i 1.70473 1.43044i
\(431\) 6.23650 10.8019i 0.300402 0.520311i −0.675825 0.737062i \(-0.736213\pi\)
0.976227 + 0.216751i \(0.0695459\pi\)
\(432\) 8.29814 + 9.13006i 0.399244 + 0.439270i
\(433\) 9.78672 0.470320 0.235160 0.971957i \(-0.424439\pi\)
0.235160 + 0.971957i \(0.424439\pi\)
\(434\) −3.91730 1.35569i −0.188036 0.0650751i
\(435\) −46.5875 26.0842i −2.23370 1.25064i
\(436\) 1.36615 7.74782i 0.0654267 0.371053i
\(437\) 11.5203 + 9.66668i 0.551090 + 0.462420i
\(438\) 2.39105 6.84911i 0.114249 0.327263i
\(439\) −6.19971 2.25651i −0.295896 0.107697i 0.189806 0.981822i \(-0.439214\pi\)
−0.485703 + 0.874124i \(0.661436\pi\)
\(440\) 0.00306698 + 0.00531217i 0.000146213 + 0.000253248i
\(441\) 19.2827 8.31731i 0.918224 0.396062i
\(442\) 8.56363 14.8327i 0.407331 0.705517i
\(443\) −28.3117 + 23.7563i −1.34513 + 1.12870i −0.364852 + 0.931065i \(0.618880\pi\)
−0.980276 + 0.197631i \(0.936675\pi\)
\(444\) 4.51171 + 0.734319i 0.214116 + 0.0348492i
\(445\) 0.210573 1.19422i 0.00998213 0.0566115i
\(446\) −0.517520 0.434251i −0.0245053 0.0205624i
\(447\) 8.12647 + 21.4430i 0.384369 + 1.01422i
\(448\) −4.35836 22.6105i −0.205913 1.06824i
\(449\) −2.25488 + 3.90556i −0.106414 + 0.184315i −0.914315 0.405003i \(-0.867270\pi\)
0.807901 + 0.589318i \(0.200604\pi\)
\(450\) 4.25345 28.4992i 0.200509 1.34347i
\(451\) 0.00184313 8.67897e−5
\(452\) −0.776596 4.40429i −0.0365280 0.207160i
\(453\) −13.9835 16.2254i −0.657002 0.762335i
\(454\) −0.125668 + 0.712698i −0.00589789 + 0.0334486i
\(455\) −4.35537 + 27.2232i −0.204183 + 1.27624i
\(456\) 10.0523 + 5.62827i 0.470744 + 0.263568i
\(457\) 3.66043 + 20.7593i 0.171228 + 0.971079i 0.942409 + 0.334464i \(0.108555\pi\)
−0.771181 + 0.636616i \(0.780334\pi\)
\(458\) −16.5382 + 28.6450i −0.772778 + 1.33849i
\(459\) −22.3190 + 14.0916i −1.04176 + 0.657737i
\(460\) −7.83566 13.5718i −0.365339 0.632786i
\(461\) −20.9179 7.61348i −0.974242 0.354595i −0.194643 0.980874i \(-0.562355\pi\)
−0.779599 + 0.626279i \(0.784577\pi\)
\(462\) −8.59204e−5 0.00295385i −3.99738e−6 0.000137426i
\(463\) −14.0481 11.7877i −0.652869 0.547822i 0.255071 0.966922i \(-0.417901\pi\)
−0.907940 + 0.419100i \(0.862346\pi\)
\(464\) 18.9471 6.89616i 0.879595 0.320146i
\(465\) −8.23948 + 1.56516i −0.382097 + 0.0725827i
\(466\) 5.48794 + 31.1237i 0.254224 + 1.44178i
\(467\) 9.06683 15.7042i 0.419563 0.726704i −0.576333 0.817215i \(-0.695517\pi\)
0.995895 + 0.0905111i \(0.0288501\pi\)
\(468\) −5.06671 1.69418i −0.234209 0.0783134i
\(469\) −20.1251 33.6128i −0.929292 1.55209i
\(470\) 5.13580 + 29.1266i 0.236897 + 1.34351i
\(471\) 7.43255 + 19.6120i 0.342474 + 0.903673i
\(472\) 3.71904 21.0917i 0.171183 0.970825i
\(473\) 0.00103180 0.00585160i 4.74420e−5 0.000269057i
\(474\) 9.90493 + 1.61211i 0.454949 + 0.0740467i
\(475\) −3.06874 17.4037i −0.140804 0.798537i
\(476\) 8.33670 0.132481i 0.382112 0.00607226i
\(477\) 14.6393 0.386257i 0.670288 0.0176855i
\(478\) −6.28953 + 10.8938i −0.287676 + 0.498270i
\(479\) −5.50485 31.2196i −0.251523 1.42646i −0.804842 0.593489i \(-0.797750\pi\)
0.553319 0.832970i \(-0.313361\pi\)
\(480\) −13.8195 16.0351i −0.630771 0.731899i
\(481\) 11.4750 4.17655i 0.523214 0.190434i
\(482\) 19.7771 + 16.5950i 0.900822 + 0.755879i
\(483\) 0.927189 + 31.8758i 0.0421886 + 1.45040i
\(484\) −6.41260 2.33400i −0.291482 0.106091i
\(485\) −16.2253 28.1031i −0.736755 1.27610i
\(486\) −12.6680 13.2200i −0.574634 0.599673i
\(487\) 5.37973 9.31796i 0.243779 0.422237i −0.718009 0.696034i \(-0.754946\pi\)
0.961788 + 0.273797i \(0.0882796\pi\)
\(488\) 0.881189 + 4.99747i 0.0398895 + 0.226225i
\(489\) 0.250402 + 18.9840i 0.0113236 + 0.858487i
\(490\) 27.7080 11.0941i 1.25172 0.501181i
\(491\) −0.0307042 + 0.174132i −0.00138566 + 0.00785848i −0.985493 0.169718i \(-0.945714\pi\)
0.984107 + 0.177576i \(0.0568256\pi\)
\(492\) −3.54399 + 0.673213i −0.159776 + 0.0303508i
\(493\) 7.49066 + 42.4817i 0.337362 + 1.91328i
\(494\) 7.28650 0.327835
\(495\) −0.00312496 0.00509720i −0.000140457 0.000229102i
\(496\) 1.58359 2.74285i 0.0711051 0.123158i
\(497\) −4.46240 23.1502i −0.200166 1.03843i
\(498\) −5.96461 + 7.30180i −0.267281 + 0.327201i
\(499\) −21.9278 18.3996i −0.981623 0.823679i 0.00271052 0.999996i \(-0.499137\pi\)
−0.984333 + 0.176317i \(0.943582\pi\)
\(500\) −1.24255 + 7.04685i −0.0555685 + 0.315145i
\(501\) −4.86390 + 5.95433i −0.217303 + 0.266020i
\(502\) −26.6291 + 22.3445i −1.18852 + 0.997284i
\(503\) 12.4042 21.4846i 0.553074 0.957953i −0.444976 0.895542i \(-0.646788\pi\)
0.998051 0.0624107i \(-0.0198788\pi\)
\(504\) 5.25496 + 23.8576i 0.234075 + 1.06270i
\(505\) −7.67583 13.2949i −0.341570 0.591616i
\(506\) 0.00421680 + 0.00153479i 0.000187460 + 6.82298e-5i
\(507\) 8.09970 1.53861i 0.359721 0.0683321i
\(508\) 2.30932 + 1.93775i 0.102460 + 0.0859737i
\(509\) −0.431902 + 2.44944i −0.0191437 + 0.108569i −0.992882 0.119099i \(-0.961999\pi\)
0.973739 + 0.227669i \(0.0731104\pi\)
\(510\) −32.2383 + 19.1841i −1.42754 + 0.849488i
\(511\) 7.12990 6.17839i 0.315408 0.273316i
\(512\) 22.6098 0.999223
\(513\) −9.93944 5.22561i −0.438837 0.230716i
\(514\) 4.58126 7.93498i 0.202071 0.349997i
\(515\) 15.6374 13.1213i 0.689065 0.578194i
\(516\) 0.153380 + 11.6284i 0.00675219 + 0.511911i
\(517\) 0.00291728 + 0.00244789i 0.000128302 + 0.000107658i
\(518\) −10.2609 8.33567i −0.450836 0.366248i
\(519\) 3.94999 0.750337i 0.173385 0.0329361i
\(520\) −30.1376 10.9692i −1.32162 0.481031i
\(521\) −36.8596 −1.61485 −0.807424 0.589971i \(-0.799139\pi\)
−0.807424 + 0.589971i \(0.799139\pi\)
\(522\) −27.8388 + 10.9724i −1.21847 + 0.480249i
\(523\) 35.3235 1.54459 0.772294 0.635265i \(-0.219109\pi\)
0.772294 + 0.635265i \(0.219109\pi\)
\(524\) 1.41331 + 8.01526i 0.0617406 + 0.350148i
\(525\) 23.2427 29.3946i 1.01440 1.28289i
\(526\) −15.0037 + 5.46089i −0.654191 + 0.238106i
\(527\) 5.19062 + 4.35545i 0.226107 + 0.189726i
\(528\) 0.00222851 0.000362709i 9.69837e−5 1.57849e-5i
\(529\) −23.8917 8.69586i −1.03877 0.378081i
\(530\) 20.8135 0.904082
\(531\) −3.08150 + 20.6469i −0.133726 + 0.895998i
\(532\) 1.82216 + 3.04335i 0.0790007 + 0.131946i
\(533\) −7.38231 + 6.19449i −0.319763 + 0.268313i
\(534\) −0.443672 0.514804i −0.0191996 0.0222777i
\(535\) −6.47452 5.43277i −0.279918 0.234879i
\(536\) 42.8264 15.5876i 1.84982 0.673280i
\(537\) −0.0717023 5.43605i −0.00309418 0.234583i
\(538\) 22.1580 + 8.06487i 0.955301 + 0.347701i
\(539\) 0.00181482 0.00338759i 7.81699e−5 0.000145914i
\(540\) 7.87048 + 8.65953i 0.338692 + 0.372647i
\(541\) 15.6446 + 27.0972i 0.672613 + 1.16500i 0.977160 + 0.212503i \(0.0681617\pi\)
−0.304547 + 0.952497i \(0.598505\pi\)
\(542\) 9.32620 7.82561i 0.400595 0.336139i
\(543\) 0.0774131 + 5.86900i 0.00332211 + 0.251863i
\(544\) −2.96980 + 16.8426i −0.127329 + 0.722120i
\(545\) −7.99388 + 45.3355i −0.342420 + 1.94196i
\(546\) 10.2716 + 11.5423i 0.439583 + 0.493965i
\(547\) −11.0496 + 9.27171i −0.472446 + 0.396430i −0.847686 0.530498i \(-0.822005\pi\)
0.375240 + 0.926928i \(0.377560\pi\)
\(548\) 0.304769 0.527875i 0.0130191 0.0225497i
\(549\) −0.987087 4.84676i −0.0421279 0.206855i
\(550\) −0.00263662 0.00456677i −0.000112426 0.000194728i
\(551\) −14.0584 + 11.7964i −0.598906 + 0.502542i
\(552\) −36.6152 5.95944i −1.55845 0.253650i
\(553\) 10.1295 + 8.22898i 0.430751 + 0.349932i
\(554\) 1.49734 0.544988i 0.0636160 0.0231543i
\(555\) −26.3998 4.29679i −1.12061 0.182388i
\(556\) −9.67771 3.52240i −0.410427 0.149383i
\(557\) 11.7685 + 20.3837i 0.498649 + 0.863685i 0.999999 0.00155960i \(-0.000496438\pi\)
−0.501350 + 0.865245i \(0.667163\pi\)
\(558\) −2.24195 + 4.13113i −0.0949095 + 0.174884i
\(559\) 15.5337 + 26.9052i 0.657006 + 1.13797i
\(560\) 4.31624 + 22.3920i 0.182394 + 0.946233i
\(561\) −0.00159210 + 0.00456053i −6.72185e−5 + 0.000192546i
\(562\) 32.6044 11.8670i 1.37533 0.500581i
\(563\) 23.1219 8.41568i 0.974471 0.354678i 0.194783 0.980846i \(-0.437600\pi\)
0.779688 + 0.626168i \(0.215378\pi\)
\(564\) −6.50349 3.64128i −0.273846 0.153326i
\(565\) 4.54417 + 25.7712i 0.191175 + 1.08420i
\(566\) −12.9953 −0.546232
\(567\) −5.73365 23.1111i −0.240791 0.970577i
\(568\) 27.4266 1.15080
\(569\) −5.04404 28.6062i −0.211457 1.19923i −0.886949 0.461867i \(-0.847180\pi\)
0.675492 0.737367i \(-0.263931\pi\)
\(570\) −13.9257 7.79697i −0.583285 0.326579i
\(571\) −20.9568 + 7.62766i −0.877016 + 0.319208i −0.741005 0.671500i \(-0.765650\pi\)
−0.136011 + 0.990707i \(0.543428\pi\)
\(572\) −0.000918730 0 0.000334390i −3.84140e−5 0 1.39816e-5i
\(573\) −0.619423 + 1.77432i −0.0258768 + 0.0741234i
\(574\) 9.85915 + 3.41203i 0.411513 + 0.142415i
\(575\) 28.4525 + 49.2812i 1.18655 + 2.05517i
\(576\) −26.1007 + 0.688666i −1.08753 + 0.0286944i
\(577\) −9.61429 16.6524i −0.400248 0.693250i 0.593507 0.804828i \(-0.297743\pi\)
−0.993756 + 0.111578i \(0.964409\pi\)
\(578\) 9.71738 + 3.53684i 0.404190 + 0.147113i
\(579\) −17.0641 2.77732i −0.709159 0.115422i
\(580\) 17.9706 6.54076i 0.746188 0.271590i
\(581\) −11.4539 + 4.37621i −0.475188 + 0.181556i
\(582\) −17.9503 2.92157i −0.744065 0.121103i
\(583\) 0.00205299 0.00172266i 8.50262e−5 7.13454e-5i
\(584\) 5.48756 + 9.50474i 0.227077 + 0.393309i
\(585\) 29.6473 + 9.91330i 1.22577 + 0.409865i
\(586\) −9.18688 + 15.9121i −0.379507 + 0.657325i
\(587\) −4.54497 + 3.81368i −0.187591 + 0.157407i −0.731747 0.681577i \(-0.761295\pi\)
0.544156 + 0.838984i \(0.316850\pi\)
\(588\) −2.25222 + 7.17656i −0.0928801 + 0.295956i
\(589\) −0.500572 + 2.83889i −0.0206257 + 0.116974i
\(590\) −5.15207 + 29.2189i −0.212108 + 1.20292i
\(591\) 0.215240 + 16.3182i 0.00885379 + 0.671243i
\(592\) 7.73760 6.49262i 0.318014 0.266845i
\(593\) 1.27815 + 2.21382i 0.0524873 + 0.0909107i 0.891075 0.453855i \(-0.149952\pi\)
−0.838588 + 0.544766i \(0.816618\pi\)
\(594\) −0.00332030 0.000450864i −0.000136233 1.84992e-5i
\(595\) −48.7813 + 0.775199i −1.99984 + 0.0317801i
\(596\) −7.71807 2.80915i −0.316144 0.115067i
\(597\) 0.0603146 + 4.57270i 0.00246851 + 0.187148i
\(598\) −22.0478 + 8.02473i −0.901600 + 0.328156i
\(599\) 20.7922 + 17.4468i 0.849548 + 0.712855i 0.959690 0.281061i \(-0.0906862\pi\)
−0.110142 + 0.993916i \(0.535131\pi\)
\(600\) 28.4593 + 33.0220i 1.16184 + 1.34812i
\(601\) 13.2745 11.1387i 0.541480 0.454356i −0.330564 0.943784i \(-0.607239\pi\)
0.872044 + 0.489428i \(0.162794\pi\)
\(602\) 16.3517 29.3909i 0.666447 1.19788i
\(603\) −41.3283 + 16.2891i −1.68302 + 0.663345i
\(604\) 7.67197 0.312168
\(605\) 37.5226 + 13.6571i 1.52551 + 0.555241i
\(606\) −8.49188 1.38212i −0.344959 0.0561449i
\(607\) 9.24077 + 7.75393i 0.375071 + 0.314722i 0.810764 0.585373i \(-0.199052\pi\)
−0.435693 + 0.900096i \(0.643497\pi\)
\(608\) −6.83713 + 2.48851i −0.277282 + 0.100923i
\(609\) −38.5039 5.64037i −1.56026 0.228559i
\(610\) −1.22073 6.92311i −0.0494260 0.280309i
\(611\) −19.9116 −0.805537
\(612\) 1.39555 9.35055i 0.0564117 0.377974i
\(613\) 11.3649 0.459025 0.229512 0.973306i \(-0.426287\pi\)
0.229512 + 0.973306i \(0.426287\pi\)
\(614\) 27.4982 + 10.0085i 1.10974 + 0.403912i
\(615\) 20.7373 3.93924i 0.836209 0.158845i
\(616\) 0.00346998 + 0.00281893i 0.000139810 + 0.000113578i
\(617\) −15.1612 12.7218i −0.610368 0.512159i 0.284391 0.958708i \(-0.408208\pi\)
−0.894759 + 0.446549i \(0.852653\pi\)
\(618\) −0.150886 11.4393i −0.00606951 0.460155i
\(619\) 19.5590 16.4119i 0.786142 0.659651i −0.158646 0.987336i \(-0.550713\pi\)
0.944787 + 0.327684i \(0.106268\pi\)
\(620\) 1.50197 2.60149i 0.0603207 0.104479i
\(621\) 35.8302 + 4.86539i 1.43782 + 0.195241i
\(622\) −25.1653 −1.00904
\(623\) −0.167286 0.867851i −0.00670215 0.0347697i
\(624\) −10.1449 + 6.03694i −0.406121 + 0.241671i
\(625\) 0.170688 0.968020i 0.00682752 0.0387208i
\(626\) −23.5030 19.7213i −0.939367 0.788223i
\(627\) −0.00201893 0.000383513i −8.06281e−5 1.53160e-5i
\(628\) −7.05902 2.56927i −0.281686 0.102525i
\(629\) 10.8048 + 18.7145i 0.430816 + 0.746194i
\(630\) −7.27982 33.0505i −0.290035 1.31676i
\(631\) −2.70425 + 4.68389i −0.107654 + 0.186463i −0.914820 0.403863i \(-0.867667\pi\)
0.807165 + 0.590326i \(0.201001\pi\)
\(632\) −11.6302 + 9.75887i −0.462623 + 0.388187i
\(633\) 25.6586 31.4110i 1.01984 1.24847i
\(634\) 4.61901 26.1957i 0.183444 1.04036i
\(635\) −13.5127 11.3385i −0.536237 0.449956i
\(636\) −3.31830 + 4.06222i −0.131579 + 0.161077i
\(637\) 4.11626 + 19.6677i 0.163092 + 0.779261i
\(638\) −0.00273803 + 0.00474241i −0.000108400 + 0.000187754i
\(639\) −26.7238 + 0.705105i −1.05718 + 0.0278935i
\(640\) −12.6657 −0.500655
\(641\) 2.11785 + 12.0109i 0.0836499 + 0.474402i 0.997640 + 0.0686652i \(0.0218740\pi\)
−0.913990 + 0.405737i \(0.867015\pi\)
\(642\) −4.65352 + 0.883978i −0.183660 + 0.0348878i
\(643\) −4.22738 + 23.9747i −0.166712 + 0.945469i 0.780570 + 0.625068i \(0.214929\pi\)
−0.947282 + 0.320401i \(0.896182\pi\)
\(644\) −8.86526 7.20192i −0.349340 0.283795i
\(645\) −0.897488 68.0423i −0.0353386 2.67916i
\(646\) 2.23908 + 12.6984i 0.0880954 + 0.499614i
\(647\) −7.42195 + 12.8552i −0.291787 + 0.505390i −0.974232 0.225547i \(-0.927583\pi\)
0.682445 + 0.730937i \(0.260916\pi\)
\(648\) 27.6619 1.46073i 1.08666 0.0573829i
\(649\) 0.00191016 + 0.00330849i 7.49802e−5 + 0.000129870i
\(650\) 25.9087 + 9.42999i 1.01622 + 0.369875i
\(651\) −5.20263 + 3.20896i −0.203907 + 0.125769i
\(652\) −5.20925 4.37108i −0.204010 0.171185i
\(653\) 0.368323 0.134058i 0.0144136 0.00524611i −0.334803 0.942288i \(-0.608670\pi\)
0.349217 + 0.937042i \(0.386448\pi\)
\(654\) 16.8429 + 19.5432i 0.658609 + 0.764200i
\(655\) −8.26981 46.9004i −0.323128 1.83255i
\(656\) −3.98561 + 6.90327i −0.155612 + 0.269527i
\(657\) −5.59130 9.12010i −0.218137 0.355809i
\(658\) 11.0734 + 18.4946i 0.431684 + 0.720994i
\(659\) −5.91682 33.5559i −0.230487 1.30715i −0.851914 0.523682i \(-0.824558\pi\)
0.621427 0.783472i \(-0.286553\pi\)
\(660\) 0.00211367 0.000344017i 8.22743e−5 1.33908e-5i
\(661\) 0.516014 2.92646i 0.0200706 0.113826i −0.973127 0.230271i \(-0.926039\pi\)
0.993197 + 0.116445i \(0.0371498\pi\)
\(662\) 3.25295 18.4484i 0.126430 0.717018i
\(663\) −8.95040 23.6171i −0.347605 0.917212i
\(664\) −2.47689 14.0471i −0.0961220 0.545135i
\(665\) −10.6622 17.8079i −0.413462 0.690559i
\(666\) −11.2249 + 9.93496i −0.434957 + 0.384972i
\(667\) 29.5468 51.1766i 1.14406 1.98157i
\(668\) −0.478191 2.71196i −0.0185018 0.104929i
\(669\) −0.978714 + 0.185915i −0.0378393 + 0.00718791i
\(670\) −59.3285 + 21.5938i −2.29206 + 0.834241i
\(671\) −0.000693412 0 0.000581841i −2.67689e−5 0 2.24617e-5i
\(672\) −13.5801 7.32249i −0.523864 0.282471i
\(673\) −25.9552 9.44691i −1.00050 0.364151i −0.210721 0.977546i \(-0.567581\pi\)
−0.789777 + 0.613395i \(0.789804\pi\)
\(674\) −9.31166 16.1283i −0.358672 0.621237i
\(675\) −28.5790 31.4441i −1.10000 1.21028i
\(676\) −1.47649 + 2.55736i −0.0567882 + 0.0983601i
\(677\) 4.85983 + 27.5615i 0.186779 + 1.05927i 0.923649 + 0.383240i \(0.125192\pi\)
−0.736870 + 0.676034i \(0.763697\pi\)
\(678\) 12.7967 + 7.16482i 0.491454 + 0.275163i
\(679\) −18.3574 14.9131i −0.704490 0.572311i
\(680\) 9.85538 55.8926i 0.377936 2.14338i
\(681\) 0.696687 + 0.808383i 0.0266971 + 0.0309773i
\(682\) 0.000149367 0 0.000847102i 5.71955e−6 0 3.24372e-5i
\(683\) 31.9759 1.22353 0.611763 0.791041i \(-0.290461\pi\)
0.611763 + 0.791041i \(0.290461\pi\)
\(684\) 3.74193 1.47484i 0.143076 0.0563921i
\(685\) −1.78332 + 3.08880i −0.0681372 + 0.118017i
\(686\) 15.9788 14.7610i 0.610075 0.563578i
\(687\) 17.2851 + 45.6096i 0.659468 + 1.74011i
\(688\) 19.6854 + 16.5180i 0.750500 + 0.629744i
\(689\) −2.43324 + 13.7996i −0.0926990 + 0.525722i
\(690\) 50.7240 + 8.25575i 1.93103 + 0.314291i
\(691\) −10.7975 + 9.06021i −0.410758 + 0.344667i −0.824634 0.565666i \(-0.808619\pi\)
0.413876 + 0.910333i \(0.364175\pi\)
\(692\) −0.720044 + 1.24715i −0.0273720 + 0.0474096i
\(693\) −0.00345354 0.00265749i −0.000131189 0.000100950i
\(694\) 2.04742 + 3.54624i 0.0777191 + 0.134614i
\(695\) 56.6281 + 20.6109i 2.14803 + 0.781818i
\(696\) 14.9208 42.7404i 0.565573 1.62007i
\(697\) −13.0639 10.9619i −0.494830 0.415212i
\(698\) 1.02632 5.82053i 0.0388466 0.220310i
\(699\) 40.6637 + 22.7675i 1.53804 + 0.861145i
\(700\) 2.54046 + 13.1795i 0.0960202 + 0.498138i
\(701\) 24.3039 0.917945 0.458973 0.888450i \(-0.348218\pi\)
0.458973 + 0.888450i \(0.348218\pi\)
\(702\) 14.8141 9.35317i 0.559122 0.353013i
\(703\) −4.59671 + 7.96174i −0.173368 + 0.300283i
\(704\) −0.00366032 + 0.00307137i −0.000137953 + 0.000115757i
\(705\) 38.0545 + 21.3066i 1.43321 + 0.802452i
\(706\) −5.62723 4.72181i −0.211784 0.177708i
\(707\) −8.68443 7.05502i −0.326612 0.265331i
\(708\) −4.88131 5.66390i −0.183451 0.212862i
\(709\) −10.7228 3.90279i −0.402704 0.146572i 0.132724 0.991153i \(-0.457628\pi\)
−0.535428 + 0.844581i \(0.679850\pi\)
\(710\) −37.9947 −1.42592
\(711\) 11.0813 9.80780i 0.415580 0.367821i
\(712\) 1.02816 0.0385320
\(713\) −1.61186 9.14130i −0.0603645 0.342344i
\(714\) −16.9588 + 21.4475i −0.634668 + 0.802653i
\(715\) 0.00537585 0.00195665i 0.000201045 7.31745e-5i
\(716\) 1.49166 + 1.25165i 0.0557460 + 0.0467764i
\(717\) 6.57359 + 17.3455i 0.245495 + 0.647779i
\(718\) −2.49316 0.907437i −0.0930440 0.0338653i
\(719\) −33.4073 −1.24588 −0.622941 0.782269i \(-0.714062\pi\)
−0.622941 + 0.782269i \(0.714062\pi\)
\(720\) 25.8485 0.682010i 0.963316 0.0254170i
\(721\) 7.23332 13.0013i 0.269383 0.484193i
\(722\) 12.8935 10.8189i 0.479845 0.402638i
\(723\) 37.4017 7.10479i 1.39098 0.264230i
\(724\) −1.61046 1.35134i −0.0598524 0.0502222i
\(725\) −65.2540 + 23.7505i −2.42347 + 0.882072i
\(726\) 19.2312 11.4440i 0.713737 0.424725i
\(727\) −16.5355 6.01843i −0.613268 0.223211i 0.0166646 0.999861i \(-0.494695\pi\)
−0.629933 + 0.776650i \(0.716917\pi\)
\(728\) −23.3723 + 0.371417i −0.866236 + 0.0137656i
\(729\) −26.9155 + 2.13445i −0.996870 + 0.0790538i
\(730\) −7.60205 13.1671i −0.281365 0.487338i
\(731\) −42.1152 + 35.3389i −1.55769 + 1.30706i
\(732\) 1.54582 + 0.865499i 0.0571351 + 0.0319897i
\(733\) −5.73093 + 32.5017i −0.211677 + 1.20048i 0.674905 + 0.737905i \(0.264185\pi\)
−0.886581 + 0.462573i \(0.846926\pi\)
\(734\) 4.28521 24.3026i 0.158170 0.897026i
\(735\) 13.1786 41.9929i 0.486102 1.54893i
\(736\) 17.9474 15.0597i 0.661551 0.555107i
\(737\) −0.00406476 + 0.00704037i −0.000149727 + 0.000259335i
\(738\) 5.64260 10.3973i 0.207707 0.382730i
\(739\) 3.00468 + 5.20426i 0.110529 + 0.191442i 0.915984 0.401215i \(-0.131412\pi\)
−0.805455 + 0.592657i \(0.798079\pi\)
\(740\) 7.33884 6.15802i 0.269781 0.226373i
\(741\) 6.79748 8.32139i 0.249712 0.305694i
\(742\) 14.1707 5.41422i 0.520223 0.198762i
\(743\) 6.49525 2.36408i 0.238288 0.0867297i −0.220116 0.975474i \(-0.570644\pi\)
0.458404 + 0.888744i \(0.348421\pi\)
\(744\) −2.52000 6.64943i −0.0923876 0.243780i
\(745\) 45.1614 + 16.4374i 1.65459 + 0.602220i
\(746\) −6.56937 11.3785i −0.240522 0.416596i
\(747\) 2.77456 + 13.6235i 0.101516 + 0.498458i
\(748\) −0.000865072 0.00149835i −3.16302e−5 5.47850e-5i
\(749\) −5.82135 2.01463i −0.212707 0.0736132i
\(750\) −15.3191 17.7751i −0.559373 0.649054i
\(751\) 17.0287 6.19793i 0.621385 0.226166i −0.0120925 0.999927i \(-0.503849\pi\)
0.633477 + 0.773761i \(0.281627\pi\)
\(752\) −15.4767 + 5.63306i −0.564377 + 0.205416i
\(753\) 0.676076 + 51.2561i 0.0246376 + 1.86788i
\(754\) −4.97187 28.1969i −0.181065 1.02687i
\(755\) −44.8917 −1.63378
\(756\) 7.61115 + 3.84842i 0.276815 + 0.139966i
\(757\) 22.8031 0.828791 0.414396 0.910097i \(-0.363993\pi\)
0.414396 + 0.910097i \(0.363993\pi\)
\(758\) −5.22288 29.6204i −0.189703 1.07586i
\(759\) 0.00568657 0.00338392i 0.000206410 0.000122829i
\(760\) 22.6892 8.25820i 0.823025 0.299556i
\(761\) 17.2717 6.28639i 0.626099 0.227881i −0.00943366 0.999956i \(-0.503003\pi\)
0.635532 + 0.772074i \(0.280781\pi\)
\(762\) −9.71220 + 1.84492i −0.351836 + 0.0668344i
\(763\) 6.35057 + 32.9457i 0.229906 + 1.19272i
\(764\) −0.336565 0.582948i −0.0121765 0.0210903i
\(765\) −8.16590 + 54.7137i −0.295239 + 1.97818i
\(766\) 9.87190 + 17.0986i 0.356686 + 0.617799i
\(767\) −18.7701 6.83175i