Properties

Label 189.2.u.a.142.8
Level $189$
Weight $2$
Character 189.142
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(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 142.8
Character \(\chi\) \(=\) 189.142
Dual form 189.2.u.a.4.8

$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{1}{3}\right)\)

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 0.823764 + 0.566933i \(0.191870\pi\)
−0.967987 + 0.250998i \(0.919241\pi\)
\(3\) −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 −0.562995 0.826460i \(-0.690351\pi\)
−0.962518 + 0.271219i \(0.912573\pi\)
\(6\) −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 −0.341942 0.939721i \(-0.611085\pi\)
0.342098 + 0.939664i \(0.388863\pi\)
\(12\) −1.06057 + 0.172616i −0.306160 + 0.0498301i
\(13\) −2.69743 0.981783i −0.748132 0.272298i −0.0603123 0.998180i \(-0.519210\pi\)
−0.687819 + 0.725882i \(0.741432\pi\)
\(14\) 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 0.374193 + 0.927351i \(0.377920\pi\)
−0.990206 + 0.139614i \(0.955414\pi\)
\(18\) 2.63865 + 2.33541i 0.621935 + 0.550462i
\(19\) 1.08055 + 1.87157i 0.247895 + 0.429367i 0.962942 0.269710i \(-0.0869278\pi\)
−0.715046 + 0.699077i \(0.753594\pi\)
\(20\) −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 −0.803743 0.594976i \(-0.797161\pi\)
0.551778 0.833991i \(-0.313950\pi\)
\(24\) 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 −0.951279 0.308330i \(-0.900230\pi\)
−0.530531 + 0.847665i \(0.678008\pi\)
\(30\) −0.0974020 + 7.38445i −0.0177831 + 1.34821i
\(31\) −1.25345 0.456219i −0.225126 0.0819393i 0.226994 0.973896i \(-0.427110\pi\)
−0.452121 + 0.891957i \(0.649332\pi\)
\(32\) −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 0.576400 0.817167i \(-0.304457\pi\)
−0.0837167 + 0.996490i \(0.526679\pi\)
\(42\) −1.98723 + 5.00230i −0.306636 + 0.771871i
\(43\) −1.87937 + 10.6584i −0.286601 + 1.62539i 0.412911 + 0.910771i \(0.364512\pi\)
−0.699512 + 0.714621i \(0.746599\pi\)
\(44\) 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 0.180365 0.983600i \(-0.442272\pi\)
0.770413 + 0.637545i \(0.220050\pi\)
\(48\) 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 0.983535 0.180718i \(-0.0578423\pi\)
−0.648274 + 0.761407i \(0.724509\pi\)
\(54\) −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 −0.226077 0.974110i \(-0.572590\pi\)
0.920053 + 0.391794i \(0.128145\pi\)
\(60\) 3.83207 + 0.727936i 0.494718 + 0.0939762i
\(61\) −1.54932 + 0.563906i −0.198370 + 0.0722007i −0.439295 0.898343i \(-0.644772\pi\)
0.240925 + 0.970544i \(0.422549\pi\)
\(62\) 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 −0.577034 0.816720i \(-0.695790\pi\)
0.262900 0.964823i \(-0.415321\pi\)
\(68\) −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 −0.999437 0.0335489i \(-0.989319\pi\)
0.470664 0.882312i \(-0.344014\pi\)
\(72\) 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 0.897948 + 0.440101i \(0.145057\pi\)
−0.994319 + 0.106444i \(0.966054\pi\)
\(80\) 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 −0.0917660 0.995781i \(-0.529251\pi\)
0.569779 + 0.821798i \(0.307029\pi\)
\(84\) 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 0.857037 0.515255i \(-0.172303\pi\)
−0.874742 + 0.484589i \(0.838969\pi\)
\(90\) −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 −0.798744 0.601671i \(-0.794502\pi\)
0.956357 0.292199i \(-0.0943871\pi\)
\(98\) −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 −0.926227 0.376966i \(-0.876967\pi\)
0.999299 0.0374443i \(-0.0119217\pi\)
\(102\) 10.1528 + 1.92862i 1.00528 + 0.190962i
\(103\) −5.28422 1.92330i −0.520670 0.189508i 0.0682979 0.997665i \(-0.478243\pi\)
−0.588967 + 0.808157i \(0.700465\pi\)
\(104\) 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 −0.804252 0.594288i \(-0.797434\pi\)
0.916795 + 0.399359i \(0.130767\pi\)
\(108\) −1.22149 + 2.98318i −0.117538 + 0.287057i
\(109\) 6.34077 + 10.9825i 0.607336 + 1.05194i 0.991678 + 0.128746i \(0.0410951\pi\)
−0.384342 + 0.923191i \(0.625572\pi\)
\(110\) 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 0.985346 + 0.170566i \(0.0545596\pi\)
−0.867586 + 0.497288i \(0.834329\pi\)
\(114\) 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 −0.737860 0.674954i \(-0.764164\pi\)
0.953457 + 0.301529i \(0.0974969\pi\)
\(128\) 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 −0.906544 0.422112i \(-0.861289\pi\)
0.707501 0.706712i \(-0.249822\pi\)
\(132\) −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 0.674373 0.738391i \(-0.264414\pi\)
−0.610069 + 0.792348i \(0.708858\pi\)
\(138\) −12.3527 + 6.91625i −1.05153 + 0.588751i
\(139\) −12.7170 + 10.6708i −1.07864 + 0.905089i −0.995807 0.0914740i \(-0.970842\pi\)
−0.0828359 + 0.996563i \(0.526398\pi\)
\(140\) 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 −0.955488 0.295029i \(-0.904671\pi\)
0.124628 + 0.992204i \(0.460226\pi\)
\(150\) 5.89563 15.5566i 0.481377 1.27019i
\(151\) 11.6208 4.22964i 0.945690 0.344203i 0.177280 0.984161i \(-0.443270\pi\)
0.768410 + 0.639957i \(0.221048\pi\)
\(152\) −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 −0.932918 0.360089i \(-0.882746\pi\)
0.192619 + 0.981274i \(0.438302\pi\)
\(158\) −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 −0.996809 0.0798174i \(-0.974566\pi\)
0.567529 + 0.823354i \(0.307900\pi\)
\(164\) 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 0.999998 0.00193094i \(-0.000614637\pi\)
−0.940351 + 0.340205i \(0.889504\pi\)
\(168\) −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 0.572682 0.819778i \(-0.305903\pi\)
−0.707878 + 0.706335i \(0.750347\pi\)
\(174\) 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 −0.801396 0.598134i \(-0.795909\pi\)
0.918697 + 0.394962i \(0.129242\pi\)
\(180\) −6.40733 + 2.14245i −0.477575 + 0.159689i
\(181\) −1.69438 + 2.93476i −0.125942 + 0.218139i −0.922101 0.386949i \(-0.873529\pi\)
0.796158 + 0.605088i \(0.206862\pi\)
\(182\) −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 −0.990865 0.134856i \(-0.956943\pi\)
0.977232 + 0.212173i \(0.0680541\pi\)
\(192\) 12.9544 + 7.70878i 0.934901 + 0.556333i
\(193\) 9.37963 + 3.41391i 0.675161 + 0.245738i 0.656768 0.754092i \(-0.271923\pi\)
0.0183924 + 0.999831i \(0.494145\pi\)
\(194\) 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 −0.983610 0.180311i \(-0.942289\pi\)
0.647959 + 0.761675i \(0.275623\pi\)
\(198\) 0.00179981 0.000709379i 0.000127907 5.04134e-5i
\(199\) −1.32014 + 2.28655i −0.0935822 + 0.162089i −0.909016 0.416761i \(-0.863165\pi\)
0.815434 + 0.578850i \(0.196498\pi\)
\(200\) −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 −0.722844 0.691011i \(-0.757166\pi\)
0.442912 0.896565i \(-0.353945\pi\)
\(212\) 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 0.657421 0.753524i \(-0.271647\pi\)
−0.627916 + 0.778281i \(0.716092\pi\)
\(224\) 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 −0.361163 0.932503i \(-0.617620\pi\)
0.322735 + 0.946489i \(0.395398\pi\)
\(228\) −1.46906 1.79841i −0.0972909 0.119102i
\(229\) −21.5720 + 18.1011i −1.42552 + 1.19615i −0.477219 + 0.878784i \(0.658355\pi\)
−0.948302 + 0.317370i \(0.897200\pi\)
\(230\) −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 −0.868332 0.495983i \(-0.834808\pi\)
0.337664 + 0.941267i \(0.390363\pi\)
\(240\) −12.8292 7.63428i −0.828119 0.492791i
\(241\) −16.8377 14.1285i −1.08461 0.910096i −0.0883151 0.996093i \(-0.528148\pi\)
−0.996295 + 0.0859963i \(0.972593\pi\)
\(242\) −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 −0.157646 + 0.987496i \(0.550391\pi\)
−0.776373 + 0.630274i \(0.782943\pi\)
\(252\) −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 −0.437096 0.899415i \(-0.643993\pi\)
0.809850 + 0.586637i \(0.199549\pi\)
\(258\) 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 0.821367 + 0.570400i \(0.193212\pi\)
−0.966921 + 0.255077i \(0.917899\pi\)
\(264\) −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 −0.990901 0.134592i \(-0.957028\pi\)
0.378890 0.925442i \(-0.376306\pi\)
\(270\) 18.7338 + 11.8280i 1.14010 + 0.719827i
\(271\) 5.18251 8.97638i 0.314815 0.545276i −0.664583 0.747215i \(-0.731391\pi\)
0.979398 + 0.201938i \(0.0647241\pi\)
\(272\) 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 −0.976912 0.213640i \(-0.931468\pi\)
0.991067 + 0.133368i \(0.0425791\pi\)
\(278\) −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 −0.312736 0.949840i \(-0.601246\pi\)
0.618740 0.785596i \(-0.287643\pi\)
\(282\) −8.92754 10.9290i −0.531628 0.650812i
\(283\) 1.92121 + 10.8957i 0.114204 + 0.647684i 0.987141 + 0.159851i \(0.0511015\pi\)
−0.872937 + 0.487833i \(0.837787\pi\)
\(284\) −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 −0.921792 0.387685i \(-0.873275\pi\)
0.221728 + 0.975109i \(0.428830\pi\)
\(294\) 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 −0.964501 0.264081i \(-0.914931\pi\)
0.253550 0.967322i \(-0.418402\pi\)
\(308\) −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 0.887771 + 0.460284i \(0.152253\pi\)
−0.676806 + 0.736162i \(0.736636\pi\)
\(312\) −5.42304 + 14.3096i −0.307019 + 0.810120i
\(313\) 20.0098 + 16.7902i 1.13102 + 0.949038i 0.999108 0.0422231i \(-0.0134440\pi\)
0.131912 + 0.991261i \(0.457888\pi\)
\(314\) −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 0.333679 0.942687i \(-0.391710\pi\)
0.861560 + 0.507656i \(0.169488\pi\)
\(318\) 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 0.104463 0.994529i \(-0.466688\pi\)
0.719294 + 0.694706i \(0.244465\pi\)
\(332\) 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 0.714289 0.699851i \(-0.246750\pi\)
0.0973215 + 0.995253i \(0.468972\pi\)
\(338\) 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 0.252587 0.967574i \(-0.418719\pi\)
−0.428452 + 0.903565i \(0.640941\pi\)
\(348\) 7.96177 4.45777i 0.426796 0.238961i
\(349\) 4.72842 1.72101i 0.253107 0.0921233i −0.212351 0.977193i \(-0.568112\pi\)
0.465458 + 0.885070i \(0.345890\pi\)
\(350\) 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 0.761319 0.648378i \(-0.224552\pi\)
−0.506326 + 0.862342i \(0.668997\pi\)
\(354\) −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 0.894290 0.447489i \(-0.147681\pi\)
−0.834681 + 0.550733i \(0.814348\pi\)
\(360\) −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 0.229267 0.973364i \(-0.426367\pi\)
0.801295 + 0.598270i \(0.204145\pi\)
\(368\) −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 0.599493 0.800380i \(-0.295369\pi\)
−0.0552355 + 0.998473i \(0.517591\pi\)
\(374\) −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 −0.0946850 0.995507i \(-0.530184\pi\)
−0.712433 + 0.701740i \(0.752407\pi\)
\(384\) −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 −0.435518 0.900180i \(-0.643435\pi\)
0.244999 + 0.969523i \(0.421213\pi\)
\(390\) 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 −0.997829 0.0658616i \(-0.979020\pi\)
0.441877 0.897076i \(-0.354313\pi\)
\(398\) −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 0.999733 0.0231111i \(-0.00735714\pi\)
−0.947346 + 0.320211i \(0.896246\pi\)
\(402\) −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 −0.278209 0.960521i \(-0.589741\pi\)
−0.830531 + 0.556972i \(0.811963\pi\)
\(410\) 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 0.895057 0.445952i \(-0.147135\pi\)
0.399001 + 0.916951i \(0.369357\pi\)
\(420\) −6.40092 8.09512i −0.312333 0.395001i
\(421\) −6.16048 + 34.9378i −0.300243 + 1.70277i 0.344847 + 0.938659i \(0.387931\pi\)
−0.645090 + 0.764106i \(0.723180\pi\)
\(422\) 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 0.976227 0.216751i \(-0.0695459\pi\)
−0.675825 + 0.737062i \(0.736213\pi\)
\(432\) 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 −0.485703 0.874124i \(-0.661436\pi\)
0.189806 + 0.981822i \(0.439214\pi\)
\(440\) 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 −0.980276 0.197631i \(-0.936675\pi\)
−0.364852 0.931065i \(-0.618880\pi\)
\(444\) 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 0.807901 0.589318i \(-0.200604\pi\)
−0.914315 + 0.405003i \(0.867270\pi\)
\(450\) 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 −0.771181 0.636616i \(-0.780334\pi\)
0.942409 0.334464i \(-0.108555\pi\)
\(458\) −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 −0.779599 0.626279i \(-0.784577\pi\)
−0.194643 + 0.980874i \(0.562355\pi\)
\(462\) −8.59204e−5 0.00295385i −3.99738e−6 0.000137426i
\(463\) −14.0481 + 11.7877i −0.652869 + 0.547822i −0.907940 0.419100i \(-0.862346\pi\)
0.255071 + 0.966922i \(0.417901\pi\)
\(464\) 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 0.995895 0.0905111i \(-0.0288501\pi\)
−0.576333 + 0.817215i \(0.695517\pi\)
\(468\) −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 0.553319 + 0.832970i \(0.313361\pi\)
−0.804842 + 0.593489i \(0.797750\pi\)
\(480\) −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 0.961788 0.273797i \(-0.0882796\pi\)
−0.718009 + 0.696034i \(0.754946\pi\)
\(488\) 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 0.984107 0.177576i \(-0.0568256\pi\)
−0.985493 + 0.169718i \(0.945714\pi\)
\(492\) −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 −0.984333 0.176317i \(-0.943582\pi\)
0.00271052 + 0.999996i \(0.499137\pi\)
\(500\) −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 0.998051 + 0.0624107i \(0.0198788\pi\)
−0.444976 + 0.895542i \(0.646788\pi\)
\(504\) 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 0.973739 0.227669i \(-0.0731104\pi\)
−0.992882 + 0.119099i \(0.961999\pi\)
\(510\) −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 −0.304547 0.952497i \(-0.598505\pi\)
0.977160 0.212503i \(-0.0681617\pi\)
\(542\) 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 0.375240 0.926928i \(-0.377560\pi\)
−0.847686 + 0.530498i \(0.822005\pi\)
\(548\) 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 −0.501350 0.865245i \(-0.667163\pi\)
0.999999 + 0.00155960i \(0.000496438\pi\)
\(558\) −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 0.779688 0.626168i \(-0.215378\pi\)
0.194783 + 0.980846i \(0.437600\pi\)
\(564\) −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 0.675492 + 0.737367i \(0.263931\pi\)
−0.886949 + 0.461867i \(0.847180\pi\)
\(570\) −13.9257 + 7.79697i −0.583285 + 0.326579i
\(571\) −20.9568 7.62766i −0.877016 0.319208i −0.136011 0.990707i \(-0.543428\pi\)
−0.741005 + 0.671500i \(0.765650\pi\)
\(572\) −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 −0.993756 0.111578i \(-0.964409\pi\)
0.593507 + 0.804828i \(0.297743\pi\)
\(578\) 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 0.544156 0.838984i \(-0.316850\pi\)
−0.731747 + 0.681577i \(0.761295\pi\)
\(588\) −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 −0.838588 0.544766i \(-0.816618\pi\)
0.891075 + 0.453855i \(0.149952\pi\)
\(594\) −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 −0.110142 0.993916i \(-0.535131\pi\)
0.959690 + 0.281061i \(0.0906862\pi\)
\(600\) 28.4593 33.0220i 1.16184 1.34812i
\(601\) 13.2745 + 11.1387i 0.541480 + 0.454356i 0.872044 0.489428i \(-0.162794\pi\)
−0.330564 + 0.943784i \(0.607239\pi\)
\(602\) 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 −0.435693 0.900096i \(-0.643497\pi\)
0.810764 + 0.585373i \(0.199052\pi\)
\(608\) −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 −0.894759 0.446549i \(-0.852653\pi\)
0.284391 + 0.958708i \(0.408208\pi\)
\(618\) −0.150886 + 11.4393i −0.00606951 + 0.460155i
\(619\) 19.5590 + 16.4119i 0.786142 + 0.659651i 0.944787 0.327684i \(-0.106268\pi\)
−0.158646 + 0.987336i \(0.550713\pi\)
\(620\) 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 0.807165 0.590326i \(-0.201001\pi\)
−0.914820 + 0.403863i \(0.867667\pi\)
\(632\) −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 −0.913990 0.405737i \(-0.867015\pi\)
0.997640 0.0686652i \(-0.0218740\pi\)
\(642\) −4.65352 0.883978i −0.183660 0.0348878i
\(643\) −4.22738 23.9747i −0.166712 0.945469i −0.947282 0.320401i \(-0.896182\pi\)
0.780570 0.625068i \(-0.214929\pi\)
\(644\) −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 0.682445 0.730937i \(-0.260916\pi\)
−0.974232 + 0.225547i \(0.927583\pi\)
\(648\) 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 0.349217 0.937042i \(-0.386448\pi\)
−0.334803 + 0.942288i \(0.608670\pi\)
\(654\) 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 0.621427 + 0.783472i \(0.286553\pi\)
−0.851914 + 0.523682i \(0.824558\pi\)
\(660\) 0.00211367 0.000344017i 8.22743e−5 1.33908e-5i
\(661\) 0.516014 + 2.92646i 0.0200706 + 0.113826i 0.993197 0.116445i \(-0.0371498\pi\)
−0.973127 + 0.230271i \(0.926039\pi\)
\(662\) 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 −0.789777 0.613395i \(-0.789804\pi\)
−0.210721 + 0.977546i \(0.567581\pi\)
\(674\) −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 −0.736870 0.676034i \(-0.763697\pi\)
0.923649 0.383240i \(-0.125192\pi\)
\(678\) 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 0.413876 0.910333i \(-0.364175\pi\)
−0.824634 + 0.565666i \(0.808619\pi\)
\(692\) −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 −0.535428 0.844581i \(-0.679850\pi\)
0.132724 + 0.991153i \(0.457628\pi\)
\(710\) −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 −0.629933 0.776650i \(-0.716917\pi\)
0.0166646 + 0.999861i \(0.494695\pi\)
\(728\) −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 −0.886581 0.462573i \(-0.846926\pi\)
0.674905 0.737905i \(-0.264185\pi\)
\(734\) 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 −0.805455 0.592657i \(-0.798079\pi\)
0.915984 + 0.401215i \(0.131412\pi\)
\(740\) 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 0.458404 0.888744i \(-0.348421\pi\)
−0.220116 + 0.975474i \(0.570644\pi\)
\(744\) −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 0.633477 0.773761i \(-0.281627\pi\)
−0.0120925 + 0.999927i \(0.503849\pi\)
\(752\) −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 0.635532 0.772074i \(-0.280781\pi\)
−0.00943366 + 0.999956i \(0.503003\pi\)
\(762\) −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