Properties

Label 169.2.k.a.10.2
Level $169$
Weight $2$
Character 169.10
Analytic conductor $1.349$
Analytic rank $0$
Dimension $360$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [169,2,Mod(4,169)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(169, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("169.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 169 = 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 169.k (of order \(78\), degree \(24\), 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: \(1.34947179416\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.2
Character \(\chi\) \(=\) 169.10
Dual form 169.2.k.a.17.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.52063 - 0.514590i) q^{2} +(2.70717 - 0.439959i) q^{3} +(4.24882 + 1.81025i) q^{4} +(0.847165 - 3.43708i) q^{5} +(-7.05019 - 0.284113i) q^{6} +(0.693293 - 0.328971i) q^{7} +(-5.54370 - 3.82654i) q^{8} +(4.28962 - 1.43209i) q^{9} +O(q^{10})\) \(q+(-2.52063 - 0.514590i) q^{2} +(2.70717 - 0.439959i) q^{3} +(4.24882 + 1.81025i) q^{4} +(0.847165 - 3.43708i) q^{5} +(-7.05019 - 0.284113i) q^{6} +(0.693293 - 0.328971i) q^{7} +(-5.54370 - 3.82654i) q^{8} +(4.28962 - 1.43209i) q^{9} +(-3.90408 + 8.22767i) q^{10} +(-1.32084 + 3.95641i) q^{11} +(12.2987 + 3.03136i) q^{12} +(-2.08006 + 2.94505i) q^{13} +(-1.91682 + 0.472454i) q^{14} +(0.781249 - 9.67750i) q^{15} +(5.60600 + 5.83646i) q^{16} +(-2.29540 - 4.83746i) q^{17} +(-11.5495 + 1.40236i) q^{18} +(1.08266 + 0.625075i) q^{19} +(9.82143 - 13.0699i) q^{20} +(1.73213 - 1.19560i) q^{21} +(5.36529 - 9.29296i) q^{22} +(1.81759 + 3.14815i) q^{23} +(-16.6913 - 7.92012i) q^{24} +(-6.66857 - 3.49994i) q^{25} +(6.75857 - 6.35301i) q^{26} +(3.69710 - 1.94039i) q^{27} +(3.54119 - 0.142705i) q^{28} +(0.242243 - 1.18659i) q^{29} +(-6.94919 + 23.9914i) q^{30} +(1.61654 + 3.08006i) q^{31} +(-3.92682 - 6.20977i) q^{32} +(-1.83510 + 11.2918i) q^{33} +(3.29655 + 13.3746i) q^{34} +(-0.543369 - 2.66160i) q^{35} +(20.8183 + 1.68062i) q^{36} +(5.46268 - 8.63854i) q^{37} +(-2.40733 - 2.13271i) q^{38} +(-4.33540 + 8.88791i) q^{39} +(-17.8486 + 15.8125i) q^{40} +(1.11145 + 6.83901i) q^{41} +(-4.98131 + 2.12234i) q^{42} +(-4.94438 + 3.12664i) q^{43} +(-12.7741 + 14.4190i) q^{44} +(-1.28818 - 15.9570i) q^{45} +(-2.96146 - 8.87064i) q^{46} +(1.77845 + 0.215943i) q^{47} +(17.7442 + 13.3339i) q^{48} +(-4.05469 + 4.96609i) q^{49} +(15.0080 + 12.2536i) q^{50} +(-8.34234 - 12.0860i) q^{51} +(-14.1691 + 8.74754i) q^{52} +(0.439312 - 0.636453i) q^{53} +(-10.3175 + 2.98851i) q^{54} +(12.4795 + 7.89159i) q^{55} +(-5.10223 - 0.829193i) q^{56} +(3.20596 + 1.21586i) q^{57} +(-1.22121 + 2.86629i) q^{58} +(-3.29673 - 3.16655i) q^{59} +(20.8381 - 39.7037i) q^{60} +(7.51228 - 0.606454i) q^{61} +(-2.48973 - 8.59556i) q^{62} +(2.50285 - 2.40402i) q^{63} +(0.963174 + 2.53968i) q^{64} +(8.36023 + 9.64430i) q^{65} +(10.4363 - 27.5182i) q^{66} +(3.22636 + 7.57254i) q^{67} +(-0.995728 - 24.7087i) q^{68} +(6.30558 + 7.72294i) q^{69} +6.98852i q^{70} +(-7.05285 + 5.75847i) q^{71} +(-29.2603 - 8.47536i) q^{72} +(-7.64099 - 8.62490i) q^{73} +(-18.2147 + 18.9635i) q^{74} +(-19.5928 - 6.54104i) q^{75} +(3.46848 + 4.61571i) q^{76} +(0.385815 + 3.17747i) q^{77} +(15.5016 - 20.1722i) q^{78} +(0.238977 - 1.96816i) q^{79} +(24.8096 - 14.3238i) q^{80} +(-1.69109 + 1.27077i) q^{81} +(0.717741 - 17.8106i) q^{82} +(1.92766 - 0.731065i) q^{83} +(9.52385 - 1.94431i) q^{84} +(-18.5713 + 3.79137i) q^{85} +(14.0719 - 5.33676i) q^{86} +(0.133746 - 3.31887i) q^{87} +(22.4617 - 16.8789i) q^{88} +(-7.96181 + 4.59675i) q^{89} +(-4.96429 + 40.8846i) q^{90} +(-0.473255 + 2.72607i) q^{91} +(2.02364 + 16.6662i) q^{92} +(5.73136 + 7.62706i) q^{93} +(-4.37169 - 1.45949i) q^{94} +(3.06563 - 3.19165i) q^{95} +(-13.3626 - 15.0833i) q^{96} +(2.85521 + 0.827022i) q^{97} +(12.7759 - 10.4312i) q^{98} +18.8631i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9} - 27 q^{10} - 26 q^{11} - 14 q^{12} - 34 q^{13} - 30 q^{14} - 84 q^{15} - 13 q^{16} - 31 q^{17} + 52 q^{18} - 33 q^{19} - 29 q^{20} - 26 q^{21} - 33 q^{22} + 57 q^{23} + 58 q^{24} + 2 q^{25} - 29 q^{26} - 30 q^{27} - 26 q^{28} - 19 q^{29} + 178 q^{30} - 78 q^{31} - 30 q^{32} - 26 q^{33} - 91 q^{34} - 18 q^{35} - 51 q^{36} - 41 q^{37} + 25 q^{38} + 12 q^{39} - 134 q^{40} - 17 q^{41} + 250 q^{42} - 28 q^{43} + 42 q^{45} + 18 q^{46} + 117 q^{47} - 57 q^{48} - 117 q^{49} - 20 q^{50} - 59 q^{51} + 37 q^{52} - 75 q^{53} + 118 q^{54} + 64 q^{55} - 42 q^{56} - 104 q^{57} - 87 q^{58} + 170 q^{59} + 78 q^{60} - 15 q^{61} + 19 q^{62} + 39 q^{63} + 32 q^{64} - 17 q^{65} + 73 q^{66} + 20 q^{67} - 76 q^{68} - 11 q^{69} + 46 q^{71} - 198 q^{72} - 26 q^{73} + 29 q^{74} - 70 q^{75} + 58 q^{76} + 6 q^{77} + 128 q^{78} - 54 q^{79} - 24 q^{80} - 7 q^{81} + 81 q^{82} + 234 q^{83} - 273 q^{84} - 74 q^{85} + 52 q^{86} - 112 q^{87} + 256 q^{88} - 27 q^{89} + 28 q^{90} - 78 q^{91} - 34 q^{92} + 51 q^{93} + 28 q^{94} - 11 q^{95} + 143 q^{96} + 40 q^{97} - 47 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.52063 0.514590i −1.78235 0.363870i −0.808052 0.589111i \(-0.799478\pi\)
−0.974303 + 0.225241i \(0.927683\pi\)
\(3\) 2.70717 0.439959i 1.56299 0.254010i 0.683507 0.729944i \(-0.260454\pi\)
0.879481 + 0.475934i \(0.157890\pi\)
\(4\) 4.24882 + 1.81025i 2.12441 + 0.905125i
\(5\) 0.847165 3.43708i 0.378864 1.53711i −0.403907 0.914800i \(-0.632348\pi\)
0.782771 0.622310i \(-0.213806\pi\)
\(6\) −7.05019 0.284113i −2.87823 0.115989i
\(7\) 0.693293 0.328971i 0.262040 0.124340i −0.293141 0.956069i \(-0.594700\pi\)
0.555181 + 0.831730i \(0.312649\pi\)
\(8\) −5.54370 3.82654i −1.96000 1.35289i
\(9\) 4.28962 1.43209i 1.42987 0.477362i
\(10\) −3.90408 + 8.22767i −1.23458 + 2.60182i
\(11\) −1.32084 + 3.95641i −0.398250 + 1.19290i 0.538416 + 0.842679i \(0.319023\pi\)
−0.936666 + 0.350224i \(0.886105\pi\)
\(12\) 12.2987 + 3.03136i 3.55034 + 0.875079i
\(13\) −2.08006 + 2.94505i −0.576906 + 0.816810i
\(14\) −1.91682 + 0.472454i −0.512292 + 0.126269i
\(15\) 0.781249 9.67750i 0.201718 2.49872i
\(16\) 5.60600 + 5.83646i 1.40150 + 1.45911i
\(17\) −2.29540 4.83746i −0.556717 1.17326i −0.965447 0.260601i \(-0.916079\pi\)
0.408730 0.912656i \(-0.365972\pi\)
\(18\) −11.5495 + 1.40236i −2.72224 + 0.330540i
\(19\) 1.08266 + 0.625075i 0.248379 + 0.143402i 0.619022 0.785374i \(-0.287529\pi\)
−0.370643 + 0.928776i \(0.620862\pi\)
\(20\) 9.82143 13.0699i 2.19614 2.92253i
\(21\) 1.73213 1.19560i 0.377982 0.260902i
\(22\) 5.36529 9.29296i 1.14388 1.98127i
\(23\) 1.81759 + 3.14815i 0.378993 + 0.656435i 0.990916 0.134482i \(-0.0429371\pi\)
−0.611923 + 0.790917i \(0.709604\pi\)
\(24\) −16.6913 7.92012i −3.40710 1.61669i
\(25\) −6.66857 3.49994i −1.33371 0.699987i
\(26\) 6.75857 6.35301i 1.32546 1.24593i
\(27\) 3.69710 1.94039i 0.711508 0.373428i
\(28\) 3.54119 0.142705i 0.669223 0.0269688i
\(29\) 0.242243 1.18659i 0.0449835 0.220344i −0.951085 0.308929i \(-0.900029\pi\)
0.996069 + 0.0885853i \(0.0282346\pi\)
\(30\) −6.94919 + 23.9914i −1.26874 + 4.38021i
\(31\) 1.61654 + 3.08006i 0.290339 + 0.553196i 0.986315 0.164870i \(-0.0527203\pi\)
−0.695976 + 0.718065i \(0.745028\pi\)
\(32\) −3.92682 6.20977i −0.694171 1.09774i
\(33\) −1.83510 + 11.2918i −0.319450 + 1.96565i
\(34\) 3.29655 + 13.3746i 0.565354 + 2.29373i
\(35\) −0.543369 2.66160i −0.0918461 0.449892i
\(36\) 20.8183 + 1.68062i 3.46971 + 0.280104i
\(37\) 5.46268 8.63854i 0.898059 1.42017i −0.00936740 0.999956i \(-0.502982\pi\)
0.907427 0.420211i \(-0.138044\pi\)
\(38\) −2.40733 2.13271i −0.390521 0.345971i
\(39\) −4.33540 + 8.88791i −0.694219 + 1.42321i
\(40\) −17.8486 + 15.8125i −2.82211 + 2.50017i
\(41\) 1.11145 + 6.83901i 0.173579 + 1.06807i 0.916893 + 0.399132i \(0.130688\pi\)
−0.743315 + 0.668942i \(0.766747\pi\)
\(42\) −4.98131 + 2.12234i −0.768632 + 0.327484i
\(43\) −4.94438 + 3.12664i −0.754011 + 0.476807i −0.855354 0.518044i \(-0.826660\pi\)
0.101343 + 0.994852i \(0.467686\pi\)
\(44\) −12.7741 + 14.4190i −1.92577 + 2.17375i
\(45\) −1.28818 15.9570i −0.192031 2.37873i
\(46\) −2.96146 8.87064i −0.436643 1.30790i
\(47\) 1.77845 + 0.215943i 0.259414 + 0.0314985i 0.249210 0.968449i \(-0.419829\pi\)
0.0102035 + 0.999948i \(0.496752\pi\)
\(48\) 17.7442 + 13.3339i 2.56116 + 1.92458i
\(49\) −4.05469 + 4.96609i −0.579241 + 0.709441i
\(50\) 15.0080 + 12.2536i 2.12245 + 1.73292i
\(51\) −8.34234 12.0860i −1.16816 1.69237i
\(52\) −14.1691 + 8.74754i −1.96490 + 1.21307i
\(53\) 0.439312 0.636453i 0.0603441 0.0874236i −0.791650 0.610975i \(-0.790778\pi\)
0.851994 + 0.523551i \(0.175393\pi\)
\(54\) −10.3175 + 2.98851i −1.40404 + 0.406685i
\(55\) 12.4795 + 7.89159i 1.68274 + 1.06410i
\(56\) −5.10223 0.829193i −0.681814 0.110806i
\(57\) 3.20596 + 1.21586i 0.424640 + 0.161045i
\(58\) −1.22121 + 2.86629i −0.160353 + 0.376362i
\(59\) −3.29673 3.16655i −0.429197 0.412249i 0.446748 0.894660i \(-0.352582\pi\)
−0.875945 + 0.482410i \(0.839761\pi\)
\(60\) 20.8381 39.7037i 2.69019 5.12572i
\(61\) 7.51228 0.606454i 0.961849 0.0776485i 0.410444 0.911886i \(-0.365374\pi\)
0.551405 + 0.834237i \(0.314092\pi\)
\(62\) −2.48973 8.59556i −0.316196 1.09164i
\(63\) 2.50285 2.40402i 0.315329 0.302878i
\(64\) 0.963174 + 2.53968i 0.120397 + 0.317460i
\(65\) 8.36023 + 9.64430i 1.03696 + 1.19623i
\(66\) 10.4363 27.5182i 1.28462 3.38725i
\(67\) 3.22636 + 7.57254i 0.394163 + 0.925133i 0.992313 + 0.123750i \(0.0394921\pi\)
−0.598151 + 0.801383i \(0.704098\pi\)
\(68\) −0.995728 24.7087i −0.120750 2.99637i
\(69\) 6.30558 + 7.72294i 0.759103 + 0.929732i
\(70\) 6.98852i 0.835287i
\(71\) −7.05285 + 5.75847i −0.837019 + 0.683405i −0.950700 0.310112i \(-0.899633\pi\)
0.113681 + 0.993517i \(0.463736\pi\)
\(72\) −29.2603 8.47536i −3.44836 0.998831i
\(73\) −7.64099 8.62490i −0.894311 1.00947i −0.999887 0.0150569i \(-0.995207\pi\)
0.105576 0.994411i \(-0.466331\pi\)
\(74\) −18.2147 + 18.9635i −2.11742 + 2.20446i
\(75\) −19.5928 6.54104i −2.26238 0.755294i
\(76\) 3.46848 + 4.61571i 0.397862 + 0.529459i
\(77\) 0.385815 + 3.17747i 0.0439677 + 0.362107i
\(78\) 15.5016 20.1722i 1.75521 2.28405i
\(79\) 0.238977 1.96816i 0.0268871 0.221435i −0.973072 0.230502i \(-0.925963\pi\)
0.999959 + 0.00906720i \(0.00288622\pi\)
\(80\) 24.8096 14.3238i 2.77380 1.60145i
\(81\) −1.69109 + 1.27077i −0.187899 + 0.141197i
\(82\) 0.717741 17.8106i 0.0792612 1.96685i
\(83\) 1.92766 0.731065i 0.211588 0.0802448i −0.246534 0.969134i \(-0.579292\pi\)
0.458122 + 0.888889i \(0.348522\pi\)
\(84\) 9.52385 1.94431i 1.03914 0.212141i
\(85\) −18.5713 + 3.79137i −2.01434 + 0.411231i
\(86\) 14.0719 5.33676i 1.51741 0.575478i
\(87\) 0.133746 3.31887i 0.0143391 0.355821i
\(88\) 22.4617 16.8789i 2.39443 1.79930i
\(89\) −7.96181 + 4.59675i −0.843950 + 0.487255i −0.858605 0.512638i \(-0.828668\pi\)
0.0146552 + 0.999893i \(0.495335\pi\)
\(90\) −4.96429 + 40.8846i −0.523282 + 4.30961i
\(91\) −0.473255 + 2.72607i −0.0496106 + 0.285769i
\(92\) 2.02364 + 16.6662i 0.210979 + 1.73757i
\(93\) 5.73136 + 7.62706i 0.594314 + 0.790889i
\(94\) −4.37169 1.45949i −0.450906 0.150534i
\(95\) 3.06563 3.19165i 0.314527 0.327457i
\(96\) −13.3626 15.0833i −1.36382 1.53943i
\(97\) 2.85521 + 0.827022i 0.289903 + 0.0839714i 0.419983 0.907532i \(-0.362036\pi\)
−0.130080 + 0.991504i \(0.541523\pi\)
\(98\) 12.7759 10.4312i 1.29056 1.05371i
\(99\) 18.8631i 1.89581i
\(100\) −21.9978 26.9424i −2.19978 2.69424i
\(101\) 0.686404 + 17.0329i 0.0682998 + 1.69484i 0.563543 + 0.826087i \(0.309438\pi\)
−0.495243 + 0.868755i \(0.664921\pi\)
\(102\) 14.8086 + 34.7571i 1.46627 + 3.44147i
\(103\) 3.89565 10.2720i 0.383849 1.01213i −0.594303 0.804241i \(-0.702572\pi\)
0.978153 0.207887i \(-0.0666586\pi\)
\(104\) 22.8006 8.36704i 2.23579 0.820456i
\(105\) −2.64199 6.96635i −0.257832 0.679846i
\(106\) −1.43486 + 1.37820i −0.139366 + 0.133862i
\(107\) −0.279534 0.965063i −0.0270236 0.0932962i 0.945873 0.324537i \(-0.105209\pi\)
−0.972896 + 0.231241i \(0.925721\pi\)
\(108\) 19.2209 1.55167i 1.84953 0.149310i
\(109\) 3.02369 5.76116i 0.289617 0.551819i −0.696563 0.717496i \(-0.745288\pi\)
0.986180 + 0.165676i \(0.0529807\pi\)
\(110\) −27.3954 26.3136i −2.61205 2.50891i
\(111\) 10.9878 25.7894i 1.04292 2.44782i
\(112\) 5.80662 + 2.20216i 0.548674 + 0.208085i
\(113\) 4.91526 + 0.798807i 0.462388 + 0.0751454i 0.387143 0.922020i \(-0.373462\pi\)
0.0752453 + 0.997165i \(0.476026\pi\)
\(114\) −7.45537 4.71449i −0.698259 0.441552i
\(115\) 12.3603 3.58019i 1.15260 0.333855i
\(116\) 3.17727 4.60307i 0.295002 0.427384i
\(117\) −4.70512 + 15.6120i −0.434989 + 1.44333i
\(118\) 6.68035 + 9.67816i 0.614976 + 0.890947i
\(119\) −3.18277 2.59865i −0.291764 0.238218i
\(120\) −41.3624 + 50.6597i −3.77585 + 4.62458i
\(121\) −5.11470 3.84345i −0.464973 0.349404i
\(122\) −19.2478 2.33710i −1.74261 0.211591i
\(123\) 6.01777 + 18.0254i 0.542604 + 1.62530i
\(124\) 1.29270 + 16.0130i 0.116088 + 1.43801i
\(125\) −5.94185 + 6.70696i −0.531455 + 0.599889i
\(126\) −7.54584 + 4.77170i −0.672237 + 0.425097i
\(127\) 19.2861 8.21702i 1.71136 0.729143i 0.711717 0.702467i \(-0.247918\pi\)
0.999644 0.0266759i \(-0.00849221\pi\)
\(128\) 1.23624 + 7.60686i 0.109269 + 0.672358i
\(129\) −12.0097 + 10.6397i −1.05740 + 0.936771i
\(130\) −16.1102 28.6118i −1.41296 2.50942i
\(131\) −11.0305 9.77219i −0.963741 0.853800i 0.0255624 0.999673i \(-0.491862\pi\)
−0.989303 + 0.145873i \(0.953401\pi\)
\(132\) −28.2380 + 44.6549i −2.45780 + 3.88671i
\(133\) 0.956233 + 0.0771951i 0.0829159 + 0.00669366i
\(134\) −4.23570 20.7478i −0.365909 1.79234i
\(135\) −3.53722 14.3511i −0.304436 1.23514i
\(136\) −5.78571 + 35.6009i −0.496120 + 3.05275i
\(137\) −2.95050 4.66584i −0.252078 0.398629i 0.695314 0.718707i \(-0.255266\pi\)
−0.947391 + 0.320077i \(0.896291\pi\)
\(138\) −11.9199 22.7115i −1.01469 1.93333i
\(139\) −3.23217 + 11.1587i −0.274149 + 0.946472i 0.698774 + 0.715342i \(0.253729\pi\)
−0.972923 + 0.231130i \(0.925758\pi\)
\(140\) 2.50948 12.2923i 0.212090 1.03889i
\(141\) 4.90958 0.197849i 0.413461 0.0166619i
\(142\) 20.7409 10.8857i 1.74054 0.913504i
\(143\) −8.90440 12.1195i −0.744623 1.01349i
\(144\) 32.4059 + 17.0079i 2.70049 + 1.41733i
\(145\) −3.87318 1.83784i −0.321650 0.152625i
\(146\) 14.8218 + 25.6722i 1.22666 + 2.12464i
\(147\) −8.79187 + 15.2280i −0.725141 + 1.25598i
\(148\) 38.8478 26.8147i 3.19327 2.20416i
\(149\) 1.18255 1.57369i 0.0968784 0.128922i −0.748401 0.663247i \(-0.769178\pi\)
0.845279 + 0.534325i \(0.179434\pi\)
\(150\) 46.0203 + 26.5698i 3.75754 + 2.16942i
\(151\) 3.99125 0.484625i 0.324803 0.0394382i 0.0434888 0.999054i \(-0.486153\pi\)
0.281314 + 0.959616i \(0.409230\pi\)
\(152\) −3.61008 7.60808i −0.292816 0.617096i
\(153\) −16.7741 17.4637i −1.35610 1.41185i
\(154\) 0.662600 8.20777i 0.0533938 0.661401i
\(155\) 11.9559 2.94687i 0.960321 0.236698i
\(156\) −34.5097 + 29.9149i −2.76298 + 2.39511i
\(157\) −17.3527 4.27705i −1.38490 0.341346i −0.524690 0.851293i \(-0.675819\pi\)
−0.860206 + 0.509947i \(0.829665\pi\)
\(158\) −1.61517 + 4.83802i −0.128496 + 0.384892i
\(159\) 0.909281 1.91627i 0.0721107 0.151970i
\(160\) −24.6702 + 8.23611i −1.95035 + 0.651122i
\(161\) 2.29577 + 1.58466i 0.180932 + 0.124888i
\(162\) 4.91655 2.33293i 0.386281 0.183292i
\(163\) 2.85111 + 0.114896i 0.223316 + 0.00899933i 0.151672 0.988431i \(-0.451534\pi\)
0.0716443 + 0.997430i \(0.477175\pi\)
\(164\) −7.65799 + 31.0697i −0.597989 + 2.42614i
\(165\) 37.2563 + 15.8734i 2.90040 + 1.23574i
\(166\) −5.23512 + 0.850790i −0.406324 + 0.0660341i
\(167\) 6.33467 + 1.29323i 0.490192 + 0.100073i 0.438762 0.898603i \(-0.355417\pi\)
0.0514295 + 0.998677i \(0.483622\pi\)
\(168\) −14.1774 −1.09381
\(169\) −4.34666 12.2518i −0.334359 0.942446i
\(170\) 48.7625 3.73991
\(171\) 5.53937 + 1.13087i 0.423606 + 0.0864798i
\(172\) −26.6677 + 4.33393i −2.03340 + 0.330459i
\(173\) −3.47956 1.48250i −0.264546 0.112712i 0.255621 0.966777i \(-0.417720\pi\)
−0.520167 + 0.854065i \(0.674130\pi\)
\(174\) −2.04499 + 8.29683i −0.155030 + 0.628981i
\(175\) −5.77465 0.232710i −0.436522 0.0175913i
\(176\) −30.4961 + 14.4706i −2.29873 + 1.09076i
\(177\) −10.3180 7.12198i −0.775546 0.535320i
\(178\) 22.4342 7.48964i 1.68152 0.561372i
\(179\) 1.12901 2.37935i 0.0843865 0.177841i −0.856871 0.515532i \(-0.827595\pi\)
0.941257 + 0.337691i \(0.109646\pi\)
\(180\) 23.4129 70.1303i 1.74510 5.22720i
\(181\) −11.9418 2.94338i −0.887624 0.218780i −0.230960 0.972963i \(-0.574187\pi\)
−0.656664 + 0.754183i \(0.728033\pi\)
\(182\) 2.59571 6.62787i 0.192407 0.491290i
\(183\) 20.0702 4.94687i 1.48363 0.365683i
\(184\) 1.97038 24.4075i 0.145258 1.79934i
\(185\) −25.0636 26.0939i −1.84271 1.91847i
\(186\) −10.5218 22.1743i −0.771498 1.62590i
\(187\) 22.1709 2.69203i 1.62129 0.196861i
\(188\) 7.16540 + 4.13694i 0.522590 + 0.301718i
\(189\) 1.92484 2.56150i 0.140012 0.186322i
\(190\) −9.36970 + 6.46744i −0.679750 + 0.469197i
\(191\) 3.00455 5.20403i 0.217401 0.376550i −0.736611 0.676316i \(-0.763575\pi\)
0.954013 + 0.299766i \(0.0969086\pi\)
\(192\) 3.72483 + 6.45160i 0.268817 + 0.465604i
\(193\) −17.5927 8.34783i −1.26635 0.600890i −0.327380 0.944893i \(-0.606166\pi\)
−0.938969 + 0.344003i \(0.888217\pi\)
\(194\) −6.77136 3.55388i −0.486155 0.255154i
\(195\) 26.8757 + 22.4306i 1.92461 + 1.60629i
\(196\) −26.2175 + 13.7600i −1.87268 + 0.982857i
\(197\) −14.0127 + 0.564693i −0.998365 + 0.0402327i −0.534063 0.845444i \(-0.679336\pi\)
−0.464302 + 0.885677i \(0.653695\pi\)
\(198\) 9.70676 47.5469i 0.689829 3.37901i
\(199\) −1.44641 + 4.99360i −0.102534 + 0.353987i −0.995337 0.0964598i \(-0.969248\pi\)
0.892803 + 0.450447i \(0.148735\pi\)
\(200\) 23.5759 + 44.9202i 1.66707 + 3.17633i
\(201\) 12.0659 + 19.0807i 0.851065 + 1.34585i
\(202\) 7.03482 43.2870i 0.494968 3.04566i
\(203\) −0.222408 0.902343i −0.0156100 0.0633321i
\(204\) −13.5664 66.4528i −0.949840 4.65262i
\(205\) 24.4478 + 1.97363i 1.70751 + 0.137844i
\(206\) −15.1053 + 23.8872i −1.05244 + 1.66430i
\(207\) 12.3052 + 10.9014i 0.855270 + 0.757703i
\(208\) −28.8495 + 4.36974i −2.00035 + 0.302987i
\(209\) −3.90308 + 3.45783i −0.269982 + 0.239183i
\(210\) 3.07466 + 18.9191i 0.212172 + 1.30554i
\(211\) 15.7305 6.70215i 1.08293 0.461395i 0.224581 0.974455i \(-0.427899\pi\)
0.858353 + 0.513060i \(0.171488\pi\)
\(212\) 3.01870 1.90891i 0.207325 0.131104i
\(213\) −16.5598 + 18.6922i −1.13466 + 1.28077i
\(214\) 0.207990 + 2.57641i 0.0142179 + 0.176120i
\(215\) 6.55780 + 19.6430i 0.447238 + 1.33964i
\(216\) −27.9206 3.39018i −1.89976 0.230672i
\(217\) 2.13399 + 1.60359i 0.144865 + 0.108859i
\(218\) −10.5862 + 12.9658i −0.716991 + 0.878155i
\(219\) −24.4801 19.9874i −1.65421 1.35062i
\(220\) 38.7375 + 56.1210i 2.61168 + 3.78368i
\(221\) 19.0212 + 3.30215i 1.27950 + 0.222126i
\(222\) −40.9672 + 59.3513i −2.74954 + 3.98340i
\(223\) −12.9951 + 3.76406i −0.870213 + 0.252060i −0.683142 0.730286i \(-0.739387\pi\)
−0.187072 + 0.982346i \(0.559900\pi\)
\(224\) −4.76528 3.01338i −0.318393 0.201340i
\(225\) −33.6179 5.46343i −2.24119 0.364229i
\(226\) −11.9785 4.54284i −0.796797 0.302185i
\(227\) 1.66676 3.91203i 0.110627 0.259651i −0.855460 0.517869i \(-0.826725\pi\)
0.966086 + 0.258219i \(0.0831356\pi\)
\(228\) 11.4205 + 10.9696i 0.756342 + 0.726477i
\(229\) −4.43900 + 8.45781i −0.293338 + 0.558908i −0.986870 0.161517i \(-0.948361\pi\)
0.693532 + 0.720426i \(0.256053\pi\)
\(230\) −32.9980 + 2.66387i −2.17582 + 0.175651i
\(231\) 2.44243 + 8.43223i 0.160700 + 0.554800i
\(232\) −5.88345 + 5.65113i −0.386267 + 0.371015i
\(233\) 2.56489 + 6.76305i 0.168031 + 0.443062i 0.992409 0.122977i \(-0.0392443\pi\)
−0.824378 + 0.566039i \(0.808475\pi\)
\(234\) 19.8937 36.9309i 1.30049 2.41425i
\(235\) 2.24885 5.92974i 0.146699 0.386814i
\(236\) −8.27493 19.4220i −0.538652 1.26426i
\(237\) −0.218954 5.43328i −0.0142226 0.352930i
\(238\) 6.68535 + 8.18807i 0.433347 + 0.530754i
\(239\) 22.0313i 1.42508i −0.701630 0.712542i \(-0.747544\pi\)
0.701630 0.712542i \(-0.252456\pi\)
\(240\) 60.8620 49.6923i 3.92863 3.20762i
\(241\) 20.6241 + 5.97385i 1.32852 + 0.384809i 0.865219 0.501394i \(-0.167179\pi\)
0.463297 + 0.886203i \(0.346666\pi\)
\(242\) 10.9145 + 12.3199i 0.701608 + 0.791952i
\(243\) −12.6961 + 13.2181i −0.814457 + 0.847940i
\(244\) 33.0161 + 11.0224i 2.11364 + 0.705637i
\(245\) 13.6339 + 18.1434i 0.871036 + 1.15914i
\(246\) −5.89286 48.5321i −0.375715 3.09429i
\(247\) −4.09288 + 1.88830i −0.260424 + 0.120149i
\(248\) 2.82436 23.2607i 0.179347 1.47706i
\(249\) 4.89688 2.82721i 0.310327 0.179167i
\(250\) 18.4285 13.8481i 1.16552 0.875834i
\(251\) 0.175478 4.35445i 0.0110761 0.274850i −0.984155 0.177308i \(-0.943261\pi\)
0.995231 0.0975419i \(-0.0310980\pi\)
\(252\) 14.9860 5.68345i 0.944031 0.358024i
\(253\) −14.8561 + 3.03290i −0.933998 + 0.190677i
\(254\) −52.8414 + 10.7877i −3.31557 + 0.676878i
\(255\) −48.6078 + 18.4345i −3.04394 + 1.15441i
\(256\) 1.01707 25.2382i 0.0635666 1.57739i
\(257\) −1.49952 + 1.12681i −0.0935372 + 0.0702886i −0.646482 0.762929i \(-0.723760\pi\)
0.552945 + 0.833218i \(0.313504\pi\)
\(258\) 35.7471 20.6386i 2.22552 1.28490i
\(259\) 0.945404 7.78610i 0.0587445 0.483805i
\(260\) 18.0625 + 56.1110i 1.12019 + 3.47985i
\(261\) −0.660162 5.43692i −0.0408630 0.336537i
\(262\) 22.7752 + 30.3083i 1.40706 + 1.87245i
\(263\) 13.2744 + 4.43166i 0.818537 + 0.273268i 0.694943 0.719065i \(-0.255430\pi\)
0.123594 + 0.992333i \(0.460558\pi\)
\(264\) 53.3819 55.5764i 3.28543 3.42049i
\(265\) −1.81537 2.04913i −0.111517 0.125877i
\(266\) −2.37059 0.686648i −0.145350 0.0421011i
\(267\) −19.5316 + 15.9471i −1.19532 + 0.975945i
\(268\) 38.0149i 2.32213i
\(269\) 7.01851 + 8.59611i 0.427926 + 0.524114i 0.942893 0.333096i \(-0.108093\pi\)
−0.514967 + 0.857210i \(0.672196\pi\)
\(270\) 1.53110 + 37.9940i 0.0931801 + 2.31224i
\(271\) −10.3476 24.2867i −0.628571 1.47531i −0.864038 0.503427i \(-0.832072\pi\)
0.235467 0.971882i \(-0.424338\pi\)
\(272\) 15.3656 40.5158i 0.931677 2.45663i
\(273\) −0.0818288 + 7.58815i −0.00495250 + 0.459256i
\(274\) 5.03612 + 13.2791i 0.304243 + 0.802223i
\(275\) 22.6553 21.7607i 1.36617 1.31222i
\(276\) 12.8108 + 44.2280i 0.771120 + 2.66221i
\(277\) −22.2024 + 1.79237i −1.33401 + 0.107693i −0.726802 0.686847i \(-0.758994\pi\)
−0.607213 + 0.794539i \(0.707712\pi\)
\(278\) 13.8893 26.4638i 0.833024 1.58719i
\(279\) 11.3453 + 10.8973i 0.679224 + 0.652403i
\(280\) −7.17244 + 16.8343i −0.428635 + 1.00604i
\(281\) −7.19074 2.72709i −0.428963 0.162684i 0.130668 0.991426i \(-0.458288\pi\)
−0.559631 + 0.828742i \(0.689057\pi\)
\(282\) −12.4771 2.02772i −0.742998 0.120749i
\(283\) −27.8806 17.6306i −1.65733 1.04803i −0.933837 0.357699i \(-0.883561\pi\)
−0.723493 0.690332i \(-0.757464\pi\)
\(284\) −40.3905 + 11.6993i −2.39674 + 0.694223i
\(285\) 6.89499 9.98911i 0.408424 0.591704i
\(286\) 16.2081 + 35.1310i 0.958405 + 2.07734i
\(287\) 3.02040 + 4.37580i 0.178288 + 0.258295i
\(288\) −25.7375 21.0140i −1.51660 1.23826i
\(289\) −7.38057 + 9.03956i −0.434151 + 0.531739i
\(290\) 8.81711 + 6.62563i 0.517758 + 0.389070i
\(291\) 8.09341 + 0.982718i 0.474444 + 0.0576080i
\(292\) −16.8519 50.4777i −0.986185 2.95399i
\(293\) −0.150730 1.86712i −0.00880572 0.109078i 0.990861 0.134885i \(-0.0430666\pi\)
−0.999667 + 0.0258068i \(0.991785\pi\)
\(294\) 29.9972 33.8599i 1.74947 1.97475i
\(295\) −13.6766 + 8.64853i −0.796280 + 0.503537i
\(296\) −63.3392 + 26.9863i −3.68152 + 1.56855i
\(297\) 2.79368 + 17.1902i 0.162106 + 0.997477i
\(298\) −3.79058 + 3.35816i −0.219582 + 0.194533i
\(299\) −13.0522 1.19547i −0.754827 0.0691360i
\(300\) −71.4053 63.2596i −4.12259 3.65229i
\(301\) −2.39933 + 3.79423i −0.138295 + 0.218696i
\(302\) −10.3098 0.832296i −0.593265 0.0478933i
\(303\) 9.35201 + 45.8092i 0.537259 + 2.63167i
\(304\) 2.42117 + 9.82307i 0.138864 + 0.563392i
\(305\) 4.27971 26.3341i 0.245055 1.50789i
\(306\) 33.2946 + 52.6512i 1.90333 + 3.00987i
\(307\) −3.60740 6.87333i −0.205885 0.392282i 0.760516 0.649319i \(-0.224946\pi\)
−0.966401 + 0.257037i \(0.917254\pi\)
\(308\) −4.11277 + 14.1989i −0.234347 + 0.809058i
\(309\) 6.02695 29.5220i 0.342861 1.67945i
\(310\) −31.6528 + 1.27557i −1.79776 + 0.0724473i
\(311\) 8.84769 4.64362i 0.501706 0.263316i −0.194830 0.980837i \(-0.562416\pi\)
0.696537 + 0.717521i \(0.254723\pi\)
\(312\) 58.0441 32.6824i 3.28610 1.85028i
\(313\) 15.3596 + 8.06135i 0.868177 + 0.455654i 0.839135 0.543924i \(-0.183062\pi\)
0.0290421 + 0.999578i \(0.490754\pi\)
\(314\) 41.5388 + 19.7104i 2.34417 + 1.11232i
\(315\) −6.14249 10.6391i −0.346090 0.599445i
\(316\) 4.57823 7.92972i 0.257545 0.446082i
\(317\) 24.3963 16.8395i 1.37023 0.945803i 0.370376 0.928882i \(-0.379229\pi\)
0.999857 0.0169210i \(-0.00538639\pi\)
\(318\) −3.27806 + 4.36230i −0.183824 + 0.244626i
\(319\) 4.37466 + 2.52571i 0.244934 + 0.141413i
\(320\) 9.54506 1.15898i 0.533585 0.0647890i
\(321\) −1.18134 2.48961i −0.0659357 0.138957i
\(322\) −4.97134 5.17572i −0.277042 0.288431i
\(323\) 0.538630 6.67213i 0.0299702 0.371247i
\(324\) −9.48556 + 2.33798i −0.526976 + 0.129888i
\(325\) 24.1785 12.3592i 1.34118 0.685565i
\(326\) −7.12747 1.75676i −0.394754 0.0972981i
\(327\) 5.65099 16.9268i 0.312500 0.936053i
\(328\) 20.0082 42.1664i 1.10477 2.32825i
\(329\) 1.30403 0.435348i 0.0718933 0.0240015i
\(330\) −85.7410 59.1827i −4.71989 3.25790i
\(331\) −13.2647 + 6.29417i −0.729092 + 0.345959i −0.756790 0.653658i \(-0.773234\pi\)
0.0276979 + 0.999616i \(0.491182\pi\)
\(332\) 9.51368 + 0.383388i 0.522131 + 0.0210412i
\(333\) 11.0617 44.8791i 0.606178 2.45936i
\(334\) −15.3019 6.51952i −0.837282 0.356732i
\(335\) 28.7607 4.67407i 1.57137 0.255372i
\(336\) 16.6884 + 3.40696i 0.910427 + 0.185865i
\(337\) 2.02607 0.110367 0.0551836 0.998476i \(-0.482426\pi\)
0.0551836 + 0.998476i \(0.482426\pi\)
\(338\) 4.65168 + 33.1190i 0.253018 + 1.80144i
\(339\) 13.6579 0.741795
\(340\) −85.7695 17.5100i −4.65150 0.949611i
\(341\) −14.3212 + 2.32742i −0.775536 + 0.126037i
\(342\) −13.3808 5.70101i −0.723549 0.308275i
\(343\) −2.46291 + 9.99242i −0.132985 + 0.539540i
\(344\) 39.3744 + 1.58673i 2.12292 + 0.0855509i
\(345\) 31.8862 15.1302i 1.71670 0.814583i
\(346\) 8.00779 + 5.52738i 0.430502 + 0.297154i
\(347\) 22.7260 7.58704i 1.21999 0.407294i 0.367496 0.930025i \(-0.380215\pi\)
0.852498 + 0.522731i \(0.175087\pi\)
\(348\) 6.57626 13.8592i 0.352524 0.742930i
\(349\) −10.0739 + 30.1750i −0.539242 + 1.61523i 0.227853 + 0.973695i \(0.426829\pi\)
−0.767096 + 0.641533i \(0.778299\pi\)
\(350\) 14.4360 + 3.55816i 0.771637 + 0.190191i
\(351\) −1.97566 + 14.9243i −0.105453 + 0.796600i
\(352\) 29.7552 7.33399i 1.58595 0.390903i
\(353\) −0.593543 + 7.35235i −0.0315911 + 0.391326i 0.961569 + 0.274564i \(0.0885335\pi\)
−0.993160 + 0.116762i \(0.962749\pi\)
\(354\) 22.3429 + 23.2614i 1.18751 + 1.23633i
\(355\) 13.8174 + 29.1196i 0.733353 + 1.54551i
\(356\) −42.1495 + 5.11788i −2.23392 + 0.271247i
\(357\) −9.75962 5.63472i −0.516534 0.298221i
\(358\) −4.07022 + 5.41648i −0.215118 + 0.286270i
\(359\) 27.4143 18.9227i 1.44687 0.998702i 0.452609 0.891709i \(-0.350493\pi\)
0.994260 0.106993i \(-0.0341222\pi\)
\(360\) −53.9188 + 93.3902i −2.84177 + 4.92209i
\(361\) −8.71856 15.1010i −0.458872 0.794789i
\(362\) 28.5861 + 13.5643i 1.50245 + 0.712923i
\(363\) −15.5373 8.15463i −0.815499 0.428007i
\(364\) −6.94564 + 10.7258i −0.364050 + 0.562187i
\(365\) −36.1177 + 18.9560i −1.89049 + 0.992203i
\(366\) −53.1353 + 2.14128i −2.77743 + 0.111926i
\(367\) 1.68062 8.23224i 0.0877279 0.429720i −0.912078 0.410017i \(-0.865523\pi\)
0.999806 0.0197028i \(-0.00627201\pi\)
\(368\) −8.18468 + 28.2568i −0.426656 + 1.47299i
\(369\) 14.5617 + 27.7451i 0.758054 + 1.44435i
\(370\) 49.7483 + 78.6707i 2.58629 + 4.08989i
\(371\) 0.0951968 0.585770i 0.00494237 0.0304116i
\(372\) 10.5446 + 42.7812i 0.546712 + 2.21810i
\(373\) −1.58620 7.76973i −0.0821304 0.402301i −0.999985 0.00538569i \(-0.998286\pi\)
0.917855 0.396916i \(-0.129919\pi\)
\(374\) −57.2698 4.62330i −2.96135 0.239065i
\(375\) −13.1348 + 20.7711i −0.678280 + 1.07261i
\(376\) −9.03289 8.00244i −0.465836 0.412694i
\(377\) 2.99068 + 3.18160i 0.154028 + 0.163861i
\(378\) −6.16994 + 5.46609i −0.317347 + 0.281145i
\(379\) −0.299568 1.84332i −0.0153878 0.0946847i 0.978220 0.207569i \(-0.0665552\pi\)
−0.993608 + 0.112884i \(0.963991\pi\)
\(380\) 18.8030 8.01120i 0.964572 0.410966i
\(381\) 48.5956 30.7300i 2.48963 1.57434i
\(382\) −10.2513 + 11.5713i −0.524502 + 0.592040i
\(383\) 0.273390 + 3.38655i 0.0139696 + 0.173044i 0.999980 + 0.00635939i \(0.00202427\pi\)
−0.986010 + 0.166685i \(0.946694\pi\)
\(384\) 6.69341 + 20.0492i 0.341572 + 1.02313i
\(385\) 11.2481 + 1.36576i 0.573255 + 0.0696058i
\(386\) 40.0489 + 30.0948i 2.03844 + 1.53179i
\(387\) −16.7319 + 20.4929i −0.850531 + 1.04171i
\(388\) 10.6341 + 8.68251i 0.539867 + 0.440788i
\(389\) 4.45485 + 6.45397i 0.225870 + 0.327229i 0.919491 0.393111i \(-0.128601\pi\)
−0.693621 + 0.720340i \(0.743986\pi\)
\(390\) −56.2011 70.3693i −2.84585 3.56329i
\(391\) 11.0570 16.0188i 0.559175 0.810105i
\(392\) 41.4809 12.0151i 2.09510 0.606854i
\(393\) −34.1609 21.6020i −1.72319 1.08968i
\(394\) 35.6115 + 5.78743i 1.79408 + 0.291566i
\(395\) −6.56226 2.48874i −0.330183 0.125222i
\(396\) −34.1469 + 80.1458i −1.71595 + 4.02748i
\(397\) −15.7582 15.1360i −0.790881 0.759652i 0.183869 0.982951i \(-0.441138\pi\)
−0.974750 + 0.223299i \(0.928317\pi\)
\(398\) 6.21553 11.8427i 0.311556 0.593621i
\(399\) 2.62265 0.211722i 0.131297 0.0105994i
\(400\) −16.9567 58.5415i −0.847837 2.92707i
\(401\) 5.18459 4.97986i 0.258906 0.248683i −0.552021 0.833830i \(-0.686143\pi\)
0.810927 + 0.585148i \(0.198964\pi\)
\(402\) −20.5950 54.3045i −1.02718 2.70846i
\(403\) −12.4335 1.64593i −0.619354 0.0819896i
\(404\) −27.9175 + 73.6124i −1.38895 + 3.66235i
\(405\) 2.93512 + 6.88898i 0.145847 + 0.342316i
\(406\) 0.0962703 + 2.38892i 0.00477781 + 0.118560i
\(407\) 26.9623 + 33.0228i 1.33647 + 1.63688i
\(408\) 98.9233i 4.89743i
\(409\) 25.0315 20.4376i 1.23773 1.01058i 0.238508 0.971141i \(-0.423342\pi\)
0.999222 0.0394349i \(-0.0125558\pi\)
\(410\) −60.6083 17.5554i −2.99323 0.867000i
\(411\) −10.0403 11.3331i −0.495251 0.559023i
\(412\) 35.1467 36.5916i 1.73156 1.80274i
\(413\) −3.32730 1.11082i −0.163726 0.0546597i
\(414\) −25.4071 33.8107i −1.24869 1.66170i
\(415\) −0.879685 7.24486i −0.0431821 0.355636i
\(416\) 26.4562 + 1.35203i 1.29712 + 0.0662888i
\(417\) −3.84066 + 31.6307i −0.188078 + 1.54896i
\(418\) 11.6176 6.70742i 0.568235 0.328070i
\(419\) −24.9210 + 18.7269i −1.21747 + 0.914870i −0.998151 0.0607836i \(-0.980640\pi\)
−0.219319 + 0.975653i \(0.570384\pi\)
\(420\) 1.38552 34.3814i 0.0676066 1.67764i
\(421\) 32.8418 12.4553i 1.60061 0.607033i 0.616942 0.787008i \(-0.288371\pi\)
0.983671 + 0.179976i \(0.0576020\pi\)
\(422\) −43.0997 + 8.79887i −2.09806 + 0.428322i
\(423\) 7.93813 1.62058i 0.385965 0.0787953i
\(424\) −4.87083 + 1.84726i −0.236548 + 0.0897110i
\(425\) −1.62374 + 40.2927i −0.0787630 + 1.95448i
\(426\) 51.3600 38.5945i 2.48840 1.86991i
\(427\) 5.00870 2.89178i 0.242388 0.139943i
\(428\) 0.559319 4.60640i 0.0270357 0.222659i
\(429\) −29.4379 28.8922i −1.42127 1.39493i
\(430\) −6.42169 52.8874i −0.309681 2.55045i
\(431\) −15.3617 20.4427i −0.739946 0.984689i −0.999819 0.0190465i \(-0.993937\pi\)
0.259872 0.965643i \(-0.416319\pi\)
\(432\) 32.0509 + 10.7002i 1.54205 + 0.514812i
\(433\) −25.6862 + 26.7421i −1.23440 + 1.28514i −0.289733 + 0.957107i \(0.593567\pi\)
−0.944665 + 0.328037i \(0.893613\pi\)
\(434\) −4.55381 5.14018i −0.218590 0.246737i
\(435\) −11.2939 3.27133i −0.541503 0.156848i
\(436\) 23.2763 19.0045i 1.11473 0.910149i
\(437\) 4.54451i 0.217393i
\(438\) 51.4200 + 62.9780i 2.45694 + 3.00921i
\(439\) 0.996050 + 24.7167i 0.0475389 + 1.17966i 0.830291 + 0.557331i \(0.188174\pi\)
−0.782752 + 0.622334i \(0.786185\pi\)
\(440\) −38.9854 91.5021i −1.85856 4.36219i
\(441\) −10.2812 + 27.1093i −0.489581 + 1.29092i
\(442\) −46.2461 18.1116i −2.19970 0.861481i
\(443\) −9.04353 23.8458i −0.429671 1.13295i −0.958718 0.284357i \(-0.908220\pi\)
0.529047 0.848592i \(-0.322549\pi\)
\(444\) 93.3705 89.6836i 4.43117 4.25620i
\(445\) 9.05445 + 31.2596i 0.429222 + 1.48185i
\(446\) 34.6927 2.80068i 1.64275 0.132616i
\(447\) 2.50901 4.78053i 0.118672 0.226111i
\(448\) 1.50324 + 1.44389i 0.0710216 + 0.0682172i
\(449\) 12.6648 29.7254i 0.597689 1.40283i −0.296455 0.955047i \(-0.595805\pi\)
0.894144 0.447780i \(-0.147785\pi\)
\(450\) 81.9268 + 31.0707i 3.86206 + 1.46469i
\(451\) −28.5260 4.63593i −1.34324 0.218297i
\(452\) 19.4380 + 12.2918i 0.914285 + 0.578159i
\(453\) 10.5918 3.06795i 0.497646 0.144145i
\(454\) −6.21438 + 9.00308i −0.291655 + 0.422536i
\(455\) 8.96879 + 3.93604i 0.420463 + 0.184525i
\(456\) −13.1203 19.0081i −0.614417 0.890136i
\(457\) −17.4931 14.2826i −0.818291 0.668114i 0.127877 0.991790i \(-0.459184\pi\)
−0.946168 + 0.323676i \(0.895081\pi\)
\(458\) 15.5414 19.0348i 0.726202 0.889436i
\(459\) −17.8729 13.4306i −0.834235 0.626887i
\(460\) 58.9975 + 7.16359i 2.75077 + 0.334004i
\(461\) −9.57524 28.6814i −0.445964 1.33582i −0.896491 0.443061i \(-0.853892\pi\)
0.450528 0.892762i \(-0.351236\pi\)
\(462\) −1.81731 22.5114i −0.0845488 1.04732i
\(463\) −26.2797 + 29.6637i −1.22132 + 1.37859i −0.318871 + 0.947798i \(0.603304\pi\)
−0.902452 + 0.430790i \(0.858235\pi\)
\(464\) 8.28348 5.23815i 0.384551 0.243175i
\(465\) 31.0702 13.2378i 1.44085 0.613888i
\(466\) −2.98493 18.3670i −0.138274 0.850835i
\(467\) −20.2147 + 17.9087i −0.935424 + 0.828714i −0.985438 0.170035i \(-0.945612\pi\)
0.0500137 + 0.998749i \(0.484074\pi\)
\(468\) −48.2528 + 57.8150i −2.23049 + 2.67250i
\(469\) 4.72796 + 4.18861i 0.218317 + 0.193412i
\(470\) −8.71992 + 13.7894i −0.402220 + 0.636060i
\(471\) −48.8585 3.94427i −2.25128 0.181742i
\(472\) 6.15914 + 30.1695i 0.283497 + 1.38866i
\(473\) −5.83950 23.6918i −0.268501 1.08935i
\(474\) −2.24401 + 13.8080i −0.103071 + 0.634221i
\(475\) −5.03208 7.95760i −0.230888 0.365120i
\(476\) −8.81880 16.8028i −0.404209 0.770156i
\(477\) 0.973027 3.35928i 0.0445518 0.153811i
\(478\) −11.3371 + 55.5327i −0.518546 + 2.54001i
\(479\) 18.0473 0.727282i 0.824603 0.0332304i 0.375624 0.926772i \(-0.377429\pi\)
0.448980 + 0.893542i \(0.351788\pi\)
\(480\) −63.1629 + 33.1505i −2.88298 + 1.51310i
\(481\) 14.0782 + 34.0566i 0.641911 + 1.55285i
\(482\) −48.9117 25.6708i −2.22787 1.16927i
\(483\) 6.91224 + 3.27990i 0.314518 + 0.149241i
\(484\) −14.7738 25.5890i −0.671537 1.16314i
\(485\) 5.26138 9.11297i 0.238907 0.413799i
\(486\) 38.8041 26.7846i 1.76019 1.21497i
\(487\) −4.18259 + 5.56601i −0.189531 + 0.252220i −0.884199 0.467111i \(-0.845295\pi\)
0.694668 + 0.719331i \(0.255551\pi\)
\(488\) −43.9665 25.3841i −1.99027 1.14908i
\(489\) 7.76900 0.943327i 0.351326 0.0426587i
\(490\) −25.0295 52.7486i −1.13072 2.38294i
\(491\) 11.1397 + 11.5976i 0.502727 + 0.523394i 0.923411 0.383813i \(-0.125389\pi\)
−0.420684 + 0.907207i \(0.638210\pi\)
\(492\) −7.06214 + 87.4803i −0.318386 + 3.94392i
\(493\) −6.29611 + 1.55185i −0.283563 + 0.0698919i
\(494\) 11.2883 2.65354i 0.507886 0.119389i
\(495\) 64.8340 + 15.9801i 2.91407 + 0.718254i
\(496\) −8.91433 + 26.7017i −0.400265 + 1.19894i
\(497\) −2.99532 + 6.31249i −0.134358 + 0.283154i
\(498\) −13.7981 + 4.60647i −0.618306 + 0.206421i
\(499\) 20.7684 + 14.3354i 0.929720 + 0.641739i 0.933624 0.358253i \(-0.116628\pi\)
−0.00390473 + 0.999992i \(0.501243\pi\)
\(500\) −37.3871 + 17.7404i −1.67200 + 0.793375i
\(501\) 17.7180 + 0.714012i 0.791583 + 0.0318997i
\(502\) −2.68307 + 10.8857i −0.119751 + 0.485850i
\(503\) 8.12350 + 3.46110i 0.362209 + 0.154323i 0.565401 0.824816i \(-0.308721\pi\)
−0.203192 + 0.979139i \(0.565132\pi\)
\(504\) −23.0741 + 3.74991i −1.02780 + 0.167034i
\(505\) 59.1251 + 12.0705i 2.63103 + 0.537130i
\(506\) 39.0075 1.73410
\(507\) −17.1575 31.2554i −0.761990 1.38810i
\(508\) 96.8178 4.29559
\(509\) 27.4987 + 5.61391i 1.21886 + 0.248832i 0.766053 0.642777i \(-0.222218\pi\)
0.452806 + 0.891609i \(0.350423\pi\)
\(510\) 132.009 21.4535i 5.84544 0.949976i
\(511\) −8.13479 3.46591i −0.359862 0.153323i
\(512\) −11.8623 + 48.1274i −0.524246 + 2.12695i
\(513\) 5.21560 + 0.210181i 0.230274 + 0.00927973i
\(514\) 4.35957 2.06864i 0.192292 0.0912439i
\(515\) −32.0054 22.0917i −1.41033 0.973477i
\(516\) −70.2875 + 23.4654i −3.09423 + 1.03301i
\(517\) −3.20342 + 6.75106i −0.140886 + 0.296911i
\(518\) −6.38967 + 19.1394i −0.280746 + 0.840936i
\(519\) −10.0720 2.48253i −0.442112 0.108971i
\(520\) −9.44232 85.4559i −0.414073 3.74749i
\(521\) 1.80455 0.444780i 0.0790586 0.0194862i −0.199588 0.979880i \(-0.563960\pi\)
0.278647 + 0.960394i \(0.410114\pi\)
\(522\) −1.13376 + 14.0442i −0.0496235 + 0.614697i
\(523\) 7.78777 + 8.10793i 0.340535 + 0.354535i 0.869345 0.494206i \(-0.164541\pi\)
−0.528810 + 0.848740i \(0.677361\pi\)
\(524\) −29.1765 61.4882i −1.27458 2.68613i
\(525\) −15.7354 + 1.91062i −0.686748 + 0.0833863i
\(526\) −31.1795 18.0015i −1.35949 0.784902i
\(527\) 11.1891 14.8899i 0.487403 0.648616i
\(528\) −76.1918 + 52.5914i −3.31582 + 2.28875i
\(529\) 4.89276 8.47450i 0.212728 0.368457i
\(530\) 3.52142 + 6.09928i 0.152961 + 0.264936i
\(531\) −18.6765 8.86210i −0.810490 0.384582i
\(532\) 3.92311 + 2.05901i 0.170089 + 0.0892694i
\(533\) −22.4531 10.9523i −0.972553 0.474397i
\(534\) 57.4382 30.1459i 2.48559 1.30454i
\(535\) −3.55381 + 0.143214i −0.153645 + 0.00619167i
\(536\) 11.0907 54.3257i 0.479044 2.34651i
\(537\) 2.00963 6.93803i 0.0867217 0.299398i
\(538\) −13.2676 25.2793i −0.572007 1.08987i
\(539\) −14.2923 22.6014i −0.615612 0.973513i
\(540\) 10.9500 67.3783i 0.471215 2.89950i
\(541\) 7.61264 + 30.8857i 0.327293 + 1.32788i 0.872104 + 0.489321i \(0.162755\pi\)
−0.544811 + 0.838559i \(0.683398\pi\)
\(542\) 13.5847 + 66.5424i 0.583514 + 2.85824i
\(543\) −33.6234 2.71436i −1.44292 0.116484i
\(544\) −21.0259 + 33.2498i −0.901478 + 1.42557i
\(545\) −17.2400 15.2733i −0.738482 0.654238i
\(546\) 4.11105 19.0848i 0.175937 0.816754i
\(547\) 23.5644 20.8763i 1.00754 0.892604i 0.0133159 0.999911i \(-0.495761\pi\)
0.994226 + 0.107307i \(0.0342228\pi\)
\(548\) −4.08978 25.1654i −0.174707 1.07501i
\(549\) 31.3564 13.3597i 1.33826 0.570178i
\(550\) −68.3036 + 43.1926i −2.91247 + 1.84174i
\(551\) 1.00397 1.13325i 0.0427707 0.0482781i
\(552\) −5.40414 66.9423i −0.230015 2.84925i
\(553\) −0.481786 1.44313i −0.0204876 0.0613679i
\(554\) 56.8865 + 6.90727i 2.41687 + 0.293462i
\(555\) −79.3318 59.6139i −3.36745 2.53047i
\(556\) −33.9330 + 41.5604i −1.43908 + 1.76255i
\(557\) 4.85709 + 3.96569i 0.205802 + 0.168032i 0.729741 0.683724i \(-0.239641\pi\)
−0.523939 + 0.851756i \(0.675538\pi\)
\(558\) −22.9896 33.3062i −0.973227 1.40996i
\(559\) 1.07652 21.0651i 0.0455320 0.890957i
\(560\) 12.4882 18.0923i 0.527722 0.764537i
\(561\) 58.8360 17.0421i 2.48406 0.719516i
\(562\) 16.7219 + 10.5743i 0.705369 + 0.446048i
\(563\) −17.4600 2.83753i −0.735852 0.119588i −0.219075 0.975708i \(-0.570304\pi\)
−0.516776 + 0.856120i \(0.672868\pi\)
\(564\) 21.2181 + 8.04695i 0.893442 + 0.338838i
\(565\) 6.90960 16.2174i 0.290689 0.682272i
\(566\) 61.2041 + 58.7874i 2.57260 + 2.47102i
\(567\) −0.754374 + 1.43734i −0.0316807 + 0.0603626i
\(568\) 61.1339 4.93524i 2.56512 0.207078i
\(569\) 1.09472 + 3.77940i 0.0458929 + 0.158441i 0.980192 0.198049i \(-0.0634606\pi\)
−0.934299 + 0.356490i \(0.883973\pi\)
\(570\) −22.5200 + 21.6308i −0.943260 + 0.906013i
\(571\) 11.6761 + 30.7874i 0.488631 + 1.28841i 0.921998 + 0.387195i \(0.126556\pi\)
−0.433367 + 0.901217i \(0.642675\pi\)
\(572\) −15.8937 67.6129i −0.664550 2.82704i
\(573\) 5.84428 15.4101i 0.244148 0.643766i
\(574\) −5.36156 12.5840i −0.223787 0.525248i
\(575\) −1.10237 27.3551i −0.0459721 1.14079i
\(576\) 7.76870 + 9.51492i 0.323696 + 0.396455i
\(577\) 36.6277i 1.52483i 0.647088 + 0.762416i \(0.275987\pi\)
−0.647088 + 0.762416i \(0.724013\pi\)
\(578\) 23.2554 18.9874i 0.967296 0.789772i
\(579\) −51.2992 14.8590i −2.13192 0.617518i
\(580\) −13.1294 14.8201i −0.545171 0.615371i
\(581\) 1.09593 1.14099i 0.0454670 0.0473361i
\(582\) −19.8948 6.64186i −0.824666 0.275314i
\(583\) 1.93781 + 2.57876i 0.0802558 + 0.106801i
\(584\) 9.35586 + 77.0525i 0.387148 + 3.18845i
\(585\) 49.6737 + 29.3978i 2.05376 + 1.21545i
\(586\) −0.580869 + 4.78389i −0.0239955 + 0.197621i
\(587\) −28.5762 + 16.4985i −1.17946 + 0.680964i −0.955891 0.293723i \(-0.905106\pi\)
−0.223574 + 0.974687i \(0.571772\pi\)
\(588\) −64.9215 + 48.7853i −2.67732 + 2.01187i
\(589\) −0.175102 + 4.34512i −0.00721497 + 0.179038i
\(590\) 38.9240 14.7619i 1.60248 0.607739i
\(591\) −37.6864 + 7.69374i −1.55021 + 0.316478i
\(592\) 81.0422 16.5449i 3.33082 0.679991i
\(593\) −2.47533 + 0.938767i −0.101649 + 0.0385505i −0.404905 0.914359i \(-0.632696\pi\)
0.303256 + 0.952909i \(0.401926\pi\)
\(594\) 1.80408 44.7678i 0.0740223 1.83684i
\(595\) −11.6281 + 8.73797i −0.476706 + 0.358222i
\(596\) 7.87321 4.54560i 0.322499 0.186195i
\(597\) −1.71872 + 14.1549i −0.0703424 + 0.579322i
\(598\) 32.2845 + 9.72987i 1.32021 + 0.397884i
\(599\) 1.68642 + 13.8889i 0.0689051 + 0.567484i 0.985747 + 0.168234i \(0.0538065\pi\)
−0.916842 + 0.399250i \(0.869270\pi\)
\(600\) 83.5872 + 111.234i 3.41243 + 4.54112i
\(601\) −7.48676 2.49945i −0.305391 0.101955i 0.159842 0.987143i \(-0.448901\pi\)
−0.465233 + 0.885188i \(0.654030\pi\)
\(602\) 8.00029 8.32919i 0.326068 0.339472i
\(603\) 24.6844 + 27.8629i 1.00523 + 1.13467i
\(604\) 17.8354 + 5.16608i 0.725711 + 0.210205i
\(605\) −17.5432 + 14.3236i −0.713234 + 0.582337i
\(606\) 120.280i 4.88606i
\(607\) 4.99788 + 6.12129i 0.202858 + 0.248455i 0.866007 0.500031i \(-0.166678\pi\)
−0.663150 + 0.748487i \(0.730781\pi\)
\(608\) −0.369846 9.17764i −0.0149992 0.372202i
\(609\) −0.999090 2.34495i −0.0404852 0.0950222i
\(610\) −24.3388 + 64.1762i −0.985450 + 2.59842i
\(611\) −4.33525 + 4.78845i −0.175386 + 0.193720i
\(612\) −39.6563 104.565i −1.60301 4.22680i
\(613\) −25.6787 + 24.6647i −1.03715 + 0.996199i −0.999995 0.00311075i \(-0.999010\pi\)
−0.0371575 + 0.999309i \(0.511830\pi\)
\(614\) 5.55598 + 19.1815i 0.224221 + 0.774101i
\(615\) 67.0529 5.41307i 2.70383 0.218276i
\(616\) 10.0199 19.0913i 0.403713 0.769210i
\(617\) 17.2310 + 16.5506i 0.693695 + 0.666304i 0.954200 0.299169i \(-0.0967095\pi\)
−0.260505 + 0.965473i \(0.583889\pi\)
\(618\) −30.3834 + 71.3125i −1.22220 + 2.86861i
\(619\) 32.2977 + 12.2489i 1.29816 + 0.492326i 0.904320 0.426855i \(-0.140379\pi\)
0.393836 + 0.919181i \(0.371148\pi\)
\(620\) 56.1330 + 9.12250i 2.25436 + 0.366368i
\(621\) 12.8284 + 8.11222i 0.514788 + 0.325532i
\(622\) −24.6913 + 7.15193i −0.990032 + 0.286766i
\(623\) −4.00766 + 5.80610i −0.160564 + 0.232617i
\(624\) −76.1782 + 24.5222i −3.04957 + 0.981675i
\(625\) −3.37247 4.88587i −0.134899 0.195435i
\(626\) −34.5676 28.2236i −1.38160 1.12804i
\(627\) −9.04502 + 11.0781i −0.361223 + 0.442418i
\(628\) −65.9858 49.5851i −2.63312 1.97866i
\(629\) −54.3276 6.59657i −2.16618 0.263022i
\(630\) 10.0082 + 29.9781i 0.398735 + 1.19436i
\(631\) −0.00175556 0.0217465i −6.98879e−5 0.000865716i 0.996722 0.0808994i \(-0.0257793\pi\)
−0.996792 + 0.0800337i \(0.974497\pi\)
\(632\) −8.85605 + 9.99642i −0.352275 + 0.397636i
\(633\) 39.6366 25.0647i 1.57541 0.996232i
\(634\) −70.1595 + 29.8922i −2.78639 + 1.18717i
\(635\) −11.9041 73.2489i −0.472400 2.90680i
\(636\) 7.33230 6.49585i 0.290744 0.257577i
\(637\) −6.19138 22.2710i −0.245311 0.882411i
\(638\) −9.72719 8.61754i −0.385103 0.341172i
\(639\) −22.0074 + 34.8020i −0.870601 + 1.37674i
\(640\) 27.1927 + 2.19522i 1.07489 + 0.0867738i
\(641\) −5.34113 26.1626i −0.210962 1.03336i −0.937966 0.346727i \(-0.887293\pi\)
0.727004 0.686633i \(-0.240912\pi\)
\(642\) 1.69658 + 6.88330i 0.0669587 + 0.271662i
\(643\) 0.517267 3.18287i 0.0203990 0.125520i −0.974853 0.222847i \(-0.928465\pi\)
0.995253 + 0.0973265i \(0.0310291\pi\)
\(644\) 6.88569 + 10.8888i 0.271334 + 0.429080i
\(645\) 26.3952 + 50.2919i 1.03931 + 1.98024i
\(646\) −4.79110 + 16.5408i −0.188503 + 0.650789i
\(647\) 4.66339 22.8428i 0.183337 0.898044i −0.779175 0.626806i \(-0.784362\pi\)
0.962512 0.271238i \(-0.0874330\pi\)
\(648\) 14.2376 0.573755i 0.559305 0.0225392i
\(649\) 16.8826 8.86069i 0.662701 0.347812i
\(650\) −67.3051 + 18.7109i −2.63992 + 0.733902i
\(651\) 6.48259 + 3.40233i 0.254073 + 0.133348i
\(652\) 11.9058 + 5.64939i 0.466269 + 0.221247i
\(653\) 18.3075 + 31.7094i 0.716426 + 1.24089i 0.962407 + 0.271612i \(0.0875567\pi\)
−0.245981 + 0.969275i \(0.579110\pi\)
\(654\) −22.9544 + 39.7582i −0.897588 + 1.55467i
\(655\) −42.9325 + 29.6342i −1.67751 + 1.15790i
\(656\) −33.6848 + 44.8264i −1.31517 + 1.75018i
\(657\) −45.1286 26.0550i −1.76063 1.01650i
\(658\) −3.51099 + 0.426312i −0.136873 + 0.0166194i
\(659\) 11.1736 + 23.5478i 0.435261 + 0.917294i 0.996004 + 0.0893040i \(0.0284643\pi\)
−0.560743 + 0.827990i \(0.689484\pi\)
\(660\) 129.560 + 134.886i 5.04312 + 5.25045i
\(661\) 0.496974 6.15613i 0.0193301 0.239446i −0.979876 0.199607i \(-0.936033\pi\)
0.999206 0.0398389i \(-0.0126845\pi\)
\(662\) 36.6743 9.03939i 1.42539 0.351326i
\(663\) 52.9464 + 0.570962i 2.05627 + 0.0221743i
\(664\) −13.4838 3.32347i −0.523274 0.128975i
\(665\) 1.07541 3.22125i 0.0417027 0.124915i
\(666\) −50.9768 + 107.431i −1.97531 + 4.16288i
\(667\) 4.17585 1.39411i 0.161690 0.0539800i
\(668\) 24.5738 + 16.9620i 0.950788 + 0.656281i
\(669\) −33.5239 + 15.9073i −1.29611 + 0.615011i
\(670\) −74.9004 3.01838i −2.89365 0.116610i
\(671\) −7.52317 + 30.5227i −0.290429 + 1.17832i
\(672\) −14.2262 6.06122i −0.548788 0.233817i
\(673\) 18.9154 3.07406i 0.729137 0.118496i 0.215500 0.976504i \(-0.430862\pi\)
0.513637 + 0.858008i \(0.328298\pi\)
\(674\) −5.10698 1.04260i −0.196713 0.0401593i
\(675\) −31.4456 −1.21034
\(676\) 3.71065 59.9242i 0.142717 2.30478i
\(677\) −23.3100 −0.895877 −0.447939 0.894064i \(-0.647842\pi\)
−0.447939 + 0.894064i \(0.647842\pi\)
\(678\) −34.4265 7.02822i −1.32214 0.269917i
\(679\) 2.25156 0.365915i 0.0864071 0.0140425i
\(680\) 117.462 + 50.0458i 4.50445 + 1.91917i
\(681\) 2.79108 11.3239i 0.106954 0.433931i
\(682\) 37.2961 + 1.50298i 1.42814 + 0.0575522i
\(683\) −32.1495 + 15.2551i −1.23017 + 0.583721i −0.929081 0.369877i \(-0.879400\pi\)
−0.301084 + 0.953598i \(0.597349\pi\)
\(684\) 21.4886 + 14.8325i 0.821637 + 0.567135i
\(685\) −18.5364 + 6.18837i −0.708240 + 0.236445i
\(686\) 11.3501 23.9198i 0.433348 0.913262i
\(687\) −8.29607 + 24.8498i −0.316515 + 0.948077i
\(688\) −45.9666 11.3298i −1.75246 0.431943i
\(689\) 0.960591 + 2.61766i 0.0365956 + 0.0997249i
\(690\) −88.1593 + 21.7293i −3.35617 + 0.827221i
\(691\) −2.90979 + 36.0442i −0.110693 + 1.37118i 0.668178 + 0.744001i \(0.267074\pi\)
−0.778872 + 0.627183i \(0.784208\pi\)
\(692\) −12.1003 12.5977i −0.459984 0.478894i
\(693\) 6.20542 + 13.0776i 0.235724 + 0.496778i
\(694\) −61.1880 + 7.42957i −2.32266 + 0.282022i
\(695\) 35.6153 + 20.5625i 1.35097 + 0.779981i
\(696\) −13.4413 + 17.8871i −0.509490 + 0.678008i
\(697\) 30.5322 21.0749i 1.15649 0.798268i
\(698\) 40.9203 70.8760i 1.54885 2.68270i
\(699\) 9.91905 + 17.1803i 0.375173 + 0.649819i
\(700\) −24.1142 11.4423i −0.911429 0.432479i
\(701\) 7.95953 + 4.17748i 0.300627 + 0.157781i 0.608292 0.793714i \(-0.291855\pi\)
−0.307664 + 0.951495i \(0.599547\pi\)
\(702\) 12.6598 36.6020i 0.477814 1.38145i
\(703\) 11.3140 5.93802i 0.426714 0.223957i
\(704\) −11.3202 + 0.456190i −0.426647 + 0.0171933i
\(705\) 3.47920 17.0423i 0.131034 0.641848i
\(706\) 5.27955 18.2271i 0.198698 0.685987i
\(707\) 6.07923 + 11.5830i 0.228633 + 0.435624i
\(708\) −30.9466 48.9381i −1.16304 1.83921i
\(709\) 0.702804 4.32453i 0.0263944 0.162411i −0.970507 0.241073i \(-0.922501\pi\)
0.996901 + 0.0786619i \(0.0250648\pi\)
\(710\) −19.8439 80.5101i −0.744730 3.02149i
\(711\) −1.79345 8.78489i −0.0672595 0.329459i
\(712\) 61.7275 + 4.98316i 2.31334 + 0.186752i
\(713\) −6.75830 + 10.6874i −0.253100 + 0.400246i
\(714\) 21.7008 + 19.2253i 0.812133 + 0.719487i
\(715\) −49.1994 + 20.3379i −1.83995 + 0.760594i
\(716\) 9.10419 8.06561i 0.340240 0.301426i
\(717\) −9.69285 59.6425i −0.361986 2.22739i
\(718\) −78.8386 + 33.5900i −2.94223 + 1.25357i
\(719\) −4.50799 + 2.85068i −0.168120 + 0.106312i −0.615876 0.787843i \(-0.711198\pi\)
0.447756 + 0.894156i \(0.352223\pi\)
\(720\) 85.9109 96.9733i 3.20171 3.61398i
\(721\) −0.678364 8.40304i −0.0252636 0.312946i
\(722\) 14.2054 + 42.5505i 0.528672 + 1.58357i
\(723\) 58.4613 + 7.09849i 2.17420 + 0.263996i
\(724\) −45.4101 34.1235i −1.68765 1.26819i
\(725\) −5.76839 + 7.06500i −0.214233 + 0.262387i
\(726\) 34.9676 + 28.5502i 1.29777 + 1.05960i
\(727\) −21.0380 30.4788i −0.780255 1.13040i −0.988337 0.152284i \(-0.951337\pi\)
0.208081 0.978112i \(-0.433278\pi\)
\(728\) 13.0550 13.3016i 0.483850 0.492989i
\(729\) −24.9503 + 36.1467i −0.924085 + 1.33877i
\(730\) 100.794 29.1953i 3.73055 1.08057i
\(731\) 26.4743 + 16.7413i 0.979188 + 0.619201i
\(732\) 94.2298 + 15.3138i 3.48283 + 0.566016i
\(733\) −21.0175 7.97090i −0.776301 0.294412i −0.0655438 0.997850i \(-0.520878\pi\)
−0.710757 + 0.703438i \(0.751647\pi\)
\(734\) −8.47246 + 19.8856i −0.312724 + 0.733991i
\(735\) 44.8916 + 43.1190i 1.65585 + 1.59047i
\(736\) 12.4120 23.6490i 0.457512 0.871715i
\(737\) −34.2216 + 2.76266i −1.26057 + 0.101764i
\(738\) −22.4274 77.4285i −0.825565 2.85018i
\(739\) 14.2546 13.6917i 0.524363 0.503657i −0.383147 0.923687i \(-0.625160\pi\)
0.907510 + 0.420030i \(0.137980\pi\)
\(740\) −59.2539 156.240i −2.17822 5.74349i
\(741\) −10.2494 + 6.91265i −0.376520 + 0.253943i
\(742\) −0.541387 + 1.42752i −0.0198750 + 0.0524059i
\(743\) 2.28412 + 5.36103i 0.0837962 + 0.196677i 0.956607 0.291382i \(-0.0941152\pi\)
−0.872810 + 0.488059i \(0.837705\pi\)
\(744\) −2.58771 64.2134i −0.0948701 2.35418i
\(745\) −4.40709 5.39770i −0.161463 0.197756i
\(746\) 20.4009i 0.746929i
\(747\) 7.22199 5.89657i 0.264239 0.215744i
\(748\) 99.0731 + 28.6969i 3.62247 + 1.04926i
\(749\) −0.511277 0.577113i −0.0186817 0.0210872i
\(750\) 43.7967 45.5972i 1.59923 1.66497i
\(751\) 8.62844 + 2.88059i 0.314856 + 0.105114i 0.469704 0.882824i \(-0.344361\pi\)
−0.154848 + 0.987938i \(0.549489\pi\)
\(752\) 8.70964 + 11.5904i 0.317608 + 0.422659i
\(753\) −1.44073 11.8655i −0.0525030 0.432401i
\(754\) −5.90117 9.55860i −0.214908 0.348104i
\(755\) 1.71555 14.1288i 0.0624352 0.514200i
\(756\) 12.8153 7.39889i 0.466086 0.269095i
\(757\) 40.5390 30.4631i 1.47341 1.10720i 0.503429 0.864036i \(-0.332071\pi\)
0.969985 0.243163i \(-0.0781849\pi\)
\(758\) −0.193452 + 4.80047i −0.00702651 + 0.174361i
\(759\) −38.8838 + 14.7467i −1.41139 + 0.535271i
\(760\) −29.2079 + 5.96284i −1.05948 + 0.216295i
\(761\) 31.3080 6.39158i 1.13492 0.231695i 0.404394 0.914585i \(-0.367482\pi\)
0.730521 + 0.682890i \(0.239277\pi\)
\(762\) −138.305 + 52.4521i −5.01026 + 1.90014i
\(763\) 0.201045 4.98888i 0.00727832 0.180610i
\(764\) 22.1864 16.6720i 0.802674 0.603171i
\(765\) −74.2345 + 42.8593i −2.68395 + 1.54958i
\(766\) 1.05357 8.67692i 0.0380670 0.313510i
\(767\) 16.1830 &minu