Properties

Label 380.2.bb.a.59.2
Level $380$
Weight $2$
Character 380.59
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), 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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.2
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.40916 - 0.119480i) q^{2} +(1.57099 - 1.87224i) q^{3} +(1.97145 + 0.336732i) q^{4} +(1.82806 + 1.28771i) q^{5} +(-2.43747 + 2.45058i) q^{6} +(-0.614347 - 1.06408i) q^{7} +(-2.73785 - 0.710057i) q^{8} +(-0.516307 - 2.92812i) q^{9} +O(q^{10})\) \(q+(-1.40916 - 0.119480i) q^{2} +(1.57099 - 1.87224i) q^{3} +(1.97145 + 0.336732i) q^{4} +(1.82806 + 1.28771i) q^{5} +(-2.43747 + 2.45058i) q^{6} +(-0.614347 - 1.06408i) q^{7} +(-2.73785 - 0.710057i) q^{8} +(-0.516307 - 2.92812i) q^{9} +(-2.42217 - 2.03300i) q^{10} +(4.39658 + 2.53837i) q^{11} +(3.72758 - 3.16202i) q^{12} +(2.56612 - 2.15323i) q^{13} +(0.738576 + 1.57286i) q^{14} +(5.28277 - 1.39958i) q^{15} +(3.77322 + 1.32770i) q^{16} +(-2.68098 - 0.472729i) q^{17} +(0.377706 + 4.18788i) q^{18} +(-4.32744 + 0.522712i) q^{19} +(3.17031 + 3.15422i) q^{20} +(-2.95735 - 0.521460i) q^{21} +(-5.89219 - 4.10226i) q^{22} +(1.81714 + 0.661384i) q^{23} +(-5.63054 + 4.01041i) q^{24} +(1.68360 + 4.70802i) q^{25} +(-3.87334 + 2.72764i) q^{26} +(0.0565226 + 0.0326334i) q^{27} +(-0.852844 - 2.30465i) q^{28} +(-1.46771 + 0.258797i) q^{29} +(-7.61148 + 1.34104i) q^{30} +(-2.22719 - 3.85761i) q^{31} +(-5.15843 - 2.32176i) q^{32} +(11.6594 - 4.24369i) q^{33} +(3.72144 + 0.986472i) q^{34} +(0.247165 - 2.73630i) q^{35} +(-0.0318803 - 5.94651i) q^{36} -7.08465 q^{37} +(6.16050 - 0.219541i) q^{38} -8.18711i q^{39} +(-4.09060 - 4.82358i) q^{40} +(6.26945 - 7.47164i) q^{41} +(4.10506 + 1.08816i) q^{42} +(-6.67232 + 2.42852i) q^{43} +(7.81289 + 6.48473i) q^{44} +(2.82674 - 6.01764i) q^{45} +(-2.48161 - 1.14911i) q^{46} +(-0.254086 - 1.44100i) q^{47} +(8.41348 - 4.97856i) q^{48} +(2.74515 - 4.75475i) q^{49} +(-1.80995 - 6.83550i) q^{50} +(-5.09686 + 4.27677i) q^{51} +(5.78404 - 3.38089i) q^{52} +(6.76600 + 2.46262i) q^{53} +(-0.0757503 - 0.0527389i) q^{54} +(4.76853 + 10.3018i) q^{55} +(0.926432 + 3.34951i) q^{56} +(-5.81975 + 8.92318i) q^{57} +(2.09916 - 0.189324i) q^{58} +(-0.802731 + 4.55252i) q^{59} +(10.8860 - 0.980314i) q^{60} +(-9.63632 - 3.50733i) q^{61} +(2.67756 + 5.70208i) q^{62} +(-2.79857 + 2.34828i) q^{63} +(6.99164 + 3.88806i) q^{64} +(7.46376 - 0.631813i) q^{65} +(-16.9370 + 4.58695i) q^{66} +(-1.39644 + 0.246230i) q^{67} +(-5.12623 - 1.83473i) q^{68} +(4.09298 - 2.36308i) q^{69} +(-0.675228 + 3.82635i) q^{70} +(-12.4030 + 4.51431i) q^{71} +(-0.665564 + 8.38337i) q^{72} +(-2.85926 + 3.40754i) q^{73} +(9.98338 + 0.846473i) q^{74} +(11.4595 + 4.24417i) q^{75} +(-8.70735 - 0.426688i) q^{76} -6.23776i q^{77} +(-0.978195 + 11.5369i) q^{78} +(-9.39773 - 7.88563i) q^{79} +(5.18798 + 7.28593i) q^{80} +(8.53185 - 3.10534i) q^{81} +(-9.72735 + 9.77964i) q^{82} +(8.42829 + 14.5982i) q^{83} +(-5.65467 - 2.02387i) q^{84} +(-4.29225 - 4.31650i) q^{85} +(9.69250 - 2.62496i) q^{86} +(-1.82124 + 3.15447i) q^{87} +(-10.2348 - 10.0715i) q^{88} +(1.86570 + 2.22346i) q^{89} +(-4.70230 + 8.14206i) q^{90} +(-3.86770 - 1.40773i) q^{91} +(3.35969 + 1.91577i) q^{92} +(-10.7213 - 1.89045i) q^{93} +(0.185878 + 2.06095i) q^{94} +(-8.58393 - 4.61695i) q^{95} +(-12.4508 + 6.01033i) q^{96} +(-0.425065 + 2.41066i) q^{97} +(-4.43645 + 6.37220i) q^{98} +(5.16267 - 14.1843i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40916 0.119480i −0.996425 0.0844851i
\(3\) 1.57099 1.87224i 0.907014 1.08094i −0.0893724 0.995998i \(-0.528486\pi\)
0.996386 0.0849386i \(-0.0270694\pi\)
\(4\) 1.97145 + 0.336732i 0.985725 + 0.168366i
\(5\) 1.82806 + 1.28771i 0.817533 + 0.575882i
\(6\) −2.43747 + 2.45058i −0.995094 + 1.00044i
\(7\) −0.614347 1.06408i −0.232201 0.402185i 0.726254 0.687426i \(-0.241260\pi\)
−0.958456 + 0.285241i \(0.907926\pi\)
\(8\) −2.73785 0.710057i −0.967976 0.251043i
\(9\) −0.516307 2.92812i −0.172102 0.976041i
\(10\) −2.42217 2.03300i −0.765957 0.642892i
\(11\) 4.39658 + 2.53837i 1.32562 + 0.765347i 0.984619 0.174716i \(-0.0559008\pi\)
0.341001 + 0.940063i \(0.389234\pi\)
\(12\) 3.72758 3.16202i 1.07606 0.912796i
\(13\) 2.56612 2.15323i 0.711714 0.597199i −0.213365 0.976972i \(-0.568442\pi\)
0.925080 + 0.379773i \(0.123998\pi\)
\(14\) 0.738576 + 1.57286i 0.197393 + 0.420364i
\(15\) 5.28277 1.39958i 1.36401 0.361369i
\(16\) 3.77322 + 1.32770i 0.943306 + 0.331925i
\(17\) −2.68098 0.472729i −0.650232 0.114654i −0.161204 0.986921i \(-0.551538\pi\)
−0.489029 + 0.872268i \(0.662649\pi\)
\(18\) 0.377706 + 4.18788i 0.0890262 + 0.987092i
\(19\) −4.32744 + 0.522712i −0.992784 + 0.119918i
\(20\) 3.17031 + 3.15422i 0.708903 + 0.705306i
\(21\) −2.95735 0.521460i −0.645346 0.113792i
\(22\) −5.89219 4.10226i −1.25622 0.874605i
\(23\) 1.81714 + 0.661384i 0.378899 + 0.137908i 0.524447 0.851443i \(-0.324272\pi\)
−0.145547 + 0.989351i \(0.546494\pi\)
\(24\) −5.63054 + 4.01041i −1.14933 + 0.818621i
\(25\) 1.68360 + 4.70802i 0.336720 + 0.941605i
\(26\) −3.87334 + 2.72764i −0.759624 + 0.534935i
\(27\) 0.0565226 + 0.0326334i 0.0108778 + 0.00628029i
\(28\) −0.852844 2.30465i −0.161172 0.435538i
\(29\) −1.46771 + 0.258797i −0.272547 + 0.0480574i −0.308251 0.951305i \(-0.599744\pi\)
0.0357040 + 0.999362i \(0.488633\pi\)
\(30\) −7.61148 + 1.34104i −1.38966 + 0.244839i
\(31\) −2.22719 3.85761i −0.400015 0.692847i 0.593712 0.804678i \(-0.297662\pi\)
−0.993727 + 0.111831i \(0.964329\pi\)
\(32\) −5.15843 2.32176i −0.911890 0.410434i
\(33\) 11.6594 4.24369i 2.02965 0.738731i
\(34\) 3.72144 + 0.986472i 0.638221 + 0.169179i
\(35\) 0.247165 2.73630i 0.0417785 0.462520i
\(36\) −0.0318803 5.94651i −0.00531339 0.991084i
\(37\) −7.08465 −1.16471 −0.582354 0.812935i \(-0.697868\pi\)
−0.582354 + 0.812935i \(0.697868\pi\)
\(38\) 6.16050 0.219541i 0.999366 0.0356143i
\(39\) 8.18711i 1.31099i
\(40\) −4.09060 4.82358i −0.646781 0.762676i
\(41\) 6.26945 7.47164i 0.979124 1.16687i −0.00685047 0.999977i \(-0.502181\pi\)
0.985974 0.166898i \(-0.0533750\pi\)
\(42\) 4.10506 + 1.08816i 0.633425 + 0.167907i
\(43\) −6.67232 + 2.42852i −1.01752 + 0.370346i −0.796316 0.604881i \(-0.793221\pi\)
−0.221203 + 0.975228i \(0.570998\pi\)
\(44\) 7.81289 + 6.48473i 1.17784 + 0.977610i
\(45\) 2.82674 6.01764i 0.421385 0.897057i
\(46\) −2.48161 1.14911i −0.365894 0.169426i
\(47\) −0.254086 1.44100i −0.0370623 0.210191i 0.960653 0.277752i \(-0.0895893\pi\)
−0.997715 + 0.0675612i \(0.978478\pi\)
\(48\) 8.41348 4.97856i 1.21438 0.718593i
\(49\) 2.74515 4.75475i 0.392165 0.679250i
\(50\) −1.80995 6.83550i −0.255965 0.966686i
\(51\) −5.09686 + 4.27677i −0.713703 + 0.598868i
\(52\) 5.78404 3.38089i 0.802102 0.468845i
\(53\) 6.76600 + 2.46262i 0.929381 + 0.338267i 0.761964 0.647619i \(-0.224235\pi\)
0.167417 + 0.985886i \(0.446457\pi\)
\(54\) −0.0757503 0.0527389i −0.0103083 0.00717685i
\(55\) 4.76853 + 10.3018i 0.642988 + 1.38910i
\(56\) 0.926432 + 3.34951i 0.123800 + 0.447598i
\(57\) −5.81975 + 8.92318i −0.770844 + 1.18190i
\(58\) 2.09916 0.189324i 0.275633 0.0248594i
\(59\) −0.802731 + 4.55252i −0.104507 + 0.592687i 0.886909 + 0.461943i \(0.152848\pi\)
−0.991416 + 0.130744i \(0.958263\pi\)
\(60\) 10.8860 0.980314i 1.40538 0.126558i
\(61\) −9.63632 3.50733i −1.23380 0.449068i −0.358906 0.933374i \(-0.616850\pi\)
−0.874899 + 0.484306i \(0.839072\pi\)
\(62\) 2.67756 + 5.70208i 0.340050 + 0.724165i
\(63\) −2.79857 + 2.34828i −0.352587 + 0.295855i
\(64\) 6.99164 + 3.88806i 0.873955 + 0.486007i
\(65\) 7.46376 0.631813i 0.925766 0.0783667i
\(66\) −16.9370 + 4.58695i −2.08480 + 0.564615i
\(67\) −1.39644 + 0.246230i −0.170602 + 0.0300818i −0.258297 0.966066i \(-0.583161\pi\)
0.0876943 + 0.996147i \(0.472050\pi\)
\(68\) −5.12623 1.83473i −0.621646 0.222494i
\(69\) 4.09298 2.36308i 0.492737 0.284482i
\(70\) −0.675228 + 3.82635i −0.0807052 + 0.457337i
\(71\) −12.4030 + 4.51431i −1.47196 + 0.535750i −0.948633 0.316380i \(-0.897533\pi\)
−0.523330 + 0.852130i \(0.675310\pi\)
\(72\) −0.665564 + 8.38337i −0.0784374 + 0.987990i
\(73\) −2.85926 + 3.40754i −0.334651 + 0.398822i −0.906960 0.421216i \(-0.861603\pi\)
0.572309 + 0.820038i \(0.306048\pi\)
\(74\) 9.98338 + 0.846473i 1.16054 + 0.0984005i
\(75\) 11.4595 + 4.24417i 1.32323 + 0.490075i
\(76\) −8.70735 0.426688i −0.998802 0.0489445i
\(77\) 6.23776i 0.710858i
\(78\) −0.978195 + 11.5369i −0.110759 + 1.30630i
\(79\) −9.39773 7.88563i −1.05733 0.887203i −0.0634820 0.997983i \(-0.520221\pi\)
−0.993845 + 0.110780i \(0.964665\pi\)
\(80\) 5.18798 + 7.28593i 0.580034 + 0.814592i
\(81\) 8.53185 3.10534i 0.947983 0.345038i
\(82\) −9.72735 + 9.77964i −1.07421 + 1.07998i
\(83\) 8.42829 + 14.5982i 0.925125 + 1.60236i 0.791361 + 0.611349i \(0.209373\pi\)
0.133764 + 0.991013i \(0.457294\pi\)
\(84\) −5.65467 2.02387i −0.616975 0.220822i
\(85\) −4.29225 4.31650i −0.465560 0.468190i
\(86\) 9.69250 2.62496i 1.04517 0.283057i
\(87\) −1.82124 + 3.15447i −0.195257 + 0.338195i
\(88\) −10.2348 10.0715i −1.09103 1.07362i
\(89\) 1.86570 + 2.22346i 0.197764 + 0.235686i 0.855808 0.517293i \(-0.173060\pi\)
−0.658044 + 0.752979i \(0.728616\pi\)
\(90\) −4.70230 + 8.14206i −0.495666 + 0.858249i
\(91\) −3.86770 1.40773i −0.405445 0.147570i
\(92\) 3.35969 + 1.91577i 0.350271 + 0.199733i
\(93\) −10.7213 1.89045i −1.11174 0.196030i
\(94\) 0.185878 + 2.06095i 0.0191718 + 0.212570i
\(95\) −8.58393 4.61695i −0.880692 0.473689i
\(96\) −12.4508 + 6.01033i −1.27075 + 0.613427i
\(97\) −0.425065 + 2.41066i −0.0431588 + 0.244766i −0.998753 0.0499193i \(-0.984104\pi\)
0.955594 + 0.294685i \(0.0952147\pi\)
\(98\) −4.43645 + 6.37220i −0.448149 + 0.643689i
\(99\) 5.16267 14.1843i 0.518868 1.42558i
\(100\) 1.73379 + 9.84855i 0.173379 + 0.984855i
\(101\) −11.6631 + 9.78652i −1.16052 + 0.973795i −0.999913 0.0132227i \(-0.995791\pi\)
−0.160611 + 0.987018i \(0.551347\pi\)
\(102\) 7.69326 5.41767i 0.761747 0.536430i
\(103\) −1.32306 0.763870i −0.130365 0.0752663i 0.433399 0.901202i \(-0.357314\pi\)
−0.563764 + 0.825936i \(0.690647\pi\)
\(104\) −8.55457 + 4.07313i −0.838845 + 0.399403i
\(105\) −4.73472 4.76147i −0.462061 0.464672i
\(106\) −9.24012 4.27862i −0.897480 0.415576i
\(107\) 9.92652 5.73108i 0.959632 0.554044i 0.0635725 0.997977i \(-0.479751\pi\)
0.896060 + 0.443933i \(0.146417\pi\)
\(108\) 0.100443 + 0.0833680i 0.00966511 + 0.00802209i
\(109\) 3.19483 + 8.77771i 0.306009 + 0.840752i 0.993425 + 0.114488i \(0.0365228\pi\)
−0.687416 + 0.726264i \(0.741255\pi\)
\(110\) −5.48875 15.0866i −0.523332 1.43845i
\(111\) −11.1299 + 13.2641i −1.05641 + 1.25898i
\(112\) −0.905289 4.83068i −0.0855418 0.456457i
\(113\) −2.79286 −0.262730 −0.131365 0.991334i \(-0.541936\pi\)
−0.131365 + 0.991334i \(0.541936\pi\)
\(114\) 9.26708 11.8788i 0.867942 1.11255i
\(115\) 2.47016 + 3.54900i 0.230344 + 0.330946i
\(116\) −2.98066 + 0.0159799i −0.276748 + 0.00148370i
\(117\) −7.62984 6.40220i −0.705379 0.591883i
\(118\) 1.67511 6.31930i 0.154206 0.581739i
\(119\) 1.14403 + 3.14320i 0.104873 + 0.288136i
\(120\) −15.4572 + 0.0807581i −1.41104 + 0.00737217i
\(121\) 7.38662 + 12.7940i 0.671511 + 1.16309i
\(122\) 13.1600 + 6.09373i 1.19145 + 0.551701i
\(123\) −4.13942 23.4758i −0.373239 2.11674i
\(124\) −3.09181 8.35504i −0.277653 0.750305i
\(125\) −2.98485 + 10.7745i −0.266973 + 0.963704i
\(126\) 4.22420 2.97472i 0.376321 0.265009i
\(127\) 6.00419 + 7.15552i 0.532786 + 0.634950i 0.963554 0.267513i \(-0.0862018\pi\)
−0.430768 + 0.902463i \(0.641757\pi\)
\(128\) −9.38777 6.31425i −0.829770 0.558106i
\(129\) −5.93539 + 16.3074i −0.522582 + 1.43578i
\(130\) −10.5931 0.00144656i −0.929077 0.000126872i
\(131\) 13.7308 + 2.42111i 1.19967 + 0.211534i 0.737554 0.675288i \(-0.235981\pi\)
0.462112 + 0.886821i \(0.347092\pi\)
\(132\) 24.4150 4.44011i 2.12505 0.386462i
\(133\) 3.21476 + 4.28362i 0.278755 + 0.371437i
\(134\) 1.99723 0.180131i 0.172534 0.0155609i
\(135\) 0.0613044 + 0.132441i 0.00527624 + 0.0113987i
\(136\) 7.00445 + 3.19791i 0.600626 + 0.274218i
\(137\) −7.69366 + 21.1382i −0.657314 + 1.80596i −0.0685538 + 0.997647i \(0.521838\pi\)
−0.588760 + 0.808308i \(0.700384\pi\)
\(138\) −6.04999 + 2.84093i −0.515010 + 0.241836i
\(139\) 6.99690 + 8.33858i 0.593469 + 0.707269i 0.976269 0.216562i \(-0.0694844\pi\)
−0.382800 + 0.923831i \(0.625040\pi\)
\(140\) 1.40867 5.31126i 0.119055 0.448883i
\(141\) −3.09705 1.78808i −0.260819 0.150584i
\(142\) 18.0171 4.87947i 1.51196 0.409476i
\(143\) 16.7479 2.95310i 1.40053 0.246951i
\(144\) 1.93953 11.7340i 0.161627 0.977831i
\(145\) −3.01632 1.41689i −0.250492 0.117666i
\(146\) 4.43628 4.46013i 0.367149 0.369123i
\(147\) −4.58940 12.6093i −0.378527 1.03999i
\(148\) −13.9670 2.38563i −1.14808 0.196097i
\(149\) −8.92176 7.48625i −0.730899 0.613297i 0.199477 0.979902i \(-0.436076\pi\)
−0.930377 + 0.366605i \(0.880520\pi\)
\(150\) −15.6411 7.34989i −1.27709 0.600116i
\(151\) 3.65976 0.297827 0.148914 0.988850i \(-0.452422\pi\)
0.148914 + 0.988850i \(0.452422\pi\)
\(152\) 12.2190 + 1.64162i 0.991095 + 0.133153i
\(153\) 8.09431i 0.654386i
\(154\) −0.745287 + 8.78998i −0.0600569 + 0.708317i
\(155\) 0.896047 9.91991i 0.0719722 0.796787i
\(156\) 2.75686 16.1405i 0.220726 1.29227i
\(157\) −4.27828 11.7545i −0.341444 0.938108i −0.984976 0.172690i \(-0.944754\pi\)
0.643533 0.765419i \(-0.277468\pi\)
\(158\) 12.3007 + 12.2349i 0.978591 + 0.973359i
\(159\) 15.2400 8.79879i 1.20861 0.697789i
\(160\) −6.44016 10.8869i −0.509139 0.860684i
\(161\) −0.412588 2.33990i −0.0325165 0.184410i
\(162\) −12.3937 + 3.35653i −0.973744 + 0.263714i
\(163\) 2.28204 3.95261i 0.178743 0.309592i −0.762707 0.646744i \(-0.776130\pi\)
0.941450 + 0.337152i \(0.109464\pi\)
\(164\) 14.8758 12.6188i 1.16161 0.985365i
\(165\) 26.7788 + 7.25627i 2.08472 + 0.564900i
\(166\) −10.1326 21.5782i −0.786441 1.67479i
\(167\) −7.21421 + 19.8209i −0.558252 + 1.53378i 0.263919 + 0.964545i \(0.414985\pi\)
−0.822171 + 0.569240i \(0.807238\pi\)
\(168\) 7.72651 + 3.52757i 0.596113 + 0.272158i
\(169\) −0.308852 + 1.75159i −0.0237578 + 0.134737i
\(170\) 5.53272 + 6.59546i 0.424340 + 0.505849i
\(171\) 3.76486 + 12.4014i 0.287906 + 0.948360i
\(172\) −13.9719 + 2.54093i −1.06535 + 0.193744i
\(173\) 4.49084 25.4688i 0.341432 1.93636i −0.00949634 0.999955i \(-0.503023\pi\)
0.350928 0.936402i \(-0.385866\pi\)
\(174\) 2.94331 4.22755i 0.223131 0.320490i
\(175\) 3.97540 4.68385i 0.300512 0.354066i
\(176\) 13.2191 + 15.4152i 0.996427 + 1.16196i
\(177\) 7.26231 + 8.65488i 0.545868 + 0.650541i
\(178\) −2.36341 3.35612i −0.177145 0.251552i
\(179\) −7.94883 + 13.7678i −0.594124 + 1.02905i 0.399546 + 0.916713i \(0.369168\pi\)
−0.993670 + 0.112339i \(0.964166\pi\)
\(180\) 7.59910 10.9116i 0.566404 0.813304i
\(181\) 10.5151 1.85410i 0.781581 0.137814i 0.231399 0.972859i \(-0.425670\pi\)
0.550182 + 0.835045i \(0.314558\pi\)
\(182\) 5.28201 + 2.44582i 0.391528 + 0.181297i
\(183\) −21.7052 + 12.5315i −1.60449 + 0.926354i
\(184\) −4.50543 3.10104i −0.332145 0.228612i
\(185\) −12.9512 9.12298i −0.952188 0.670734i
\(186\) 14.8821 + 3.94491i 1.09121 + 0.289255i
\(187\) −10.5872 8.88370i −0.774211 0.649640i
\(188\) −0.0156890 2.92641i −0.00114424 0.213430i
\(189\) 0.0801929i 0.00583317i
\(190\) 11.5445 + 7.53161i 0.837524 + 0.546401i
\(191\) 11.3056i 0.818043i −0.912525 0.409021i \(-0.865870\pi\)
0.912525 0.409021i \(-0.134130\pi\)
\(192\) 18.2632 6.98189i 1.31803 0.503875i
\(193\) −5.70834 4.78987i −0.410896 0.344782i 0.413791 0.910372i \(-0.364204\pi\)
−0.824687 + 0.565589i \(0.808649\pi\)
\(194\) 0.887009 3.34622i 0.0636835 0.240244i
\(195\) 10.5426 14.9665i 0.754973 1.07177i
\(196\) 7.01301 8.44936i 0.500929 0.603526i
\(197\) −4.25335 + 2.45567i −0.303038 + 0.174959i −0.643807 0.765188i \(-0.722646\pi\)
0.340769 + 0.940147i \(0.389313\pi\)
\(198\) −8.96976 + 19.3711i −0.637453 + 1.37664i
\(199\) −3.57466 + 0.630309i −0.253401 + 0.0446814i −0.298906 0.954283i \(-0.596622\pi\)
0.0455045 + 0.998964i \(0.485510\pi\)
\(200\) −1.26648 14.0853i −0.0895538 0.995982i
\(201\) −1.73280 + 3.00130i −0.122222 + 0.211695i
\(202\) 17.6045 12.3972i 1.23865 0.872267i
\(203\) 1.17707 + 1.40277i 0.0826138 + 0.0984553i
\(204\) −11.4883 + 6.71516i −0.804343 + 0.470155i
\(205\) 21.0822 5.58536i 1.47245 0.390099i
\(206\) 1.77313 + 1.23449i 0.123540 + 0.0860111i
\(207\) 0.998413 5.66228i 0.0693945 0.393556i
\(208\) 12.5414 4.71758i 0.869590 0.327106i
\(209\) −20.3528 8.68650i −1.40783 0.600858i
\(210\) 6.10306 + 7.27536i 0.421151 + 0.502048i
\(211\) 1.98570 11.2615i 0.136701 0.775271i −0.836959 0.547266i \(-0.815669\pi\)
0.973660 0.228005i \(-0.0732202\pi\)
\(212\) 12.5096 + 7.13326i 0.859161 + 0.489914i
\(213\) −11.0331 + 30.3133i −0.755978 + 2.07703i
\(214\) −14.6728 + 6.88997i −1.00301 + 0.470989i
\(215\) −15.3246 4.15253i −1.04513 0.283200i
\(216\) −0.131579 0.129480i −0.00895281 0.00880996i
\(217\) −2.73654 + 4.73982i −0.185768 + 0.321760i
\(218\) −3.45325 12.7509i −0.233884 0.863600i
\(219\) 1.88783 + 10.7064i 0.127568 + 0.723474i
\(220\) 5.93196 + 21.9152i 0.399933 + 1.47752i
\(221\) −7.89761 + 4.55969i −0.531251 + 0.306718i
\(222\) 17.2686 17.3615i 1.15899 1.16522i
\(223\) 0.534822 + 1.46941i 0.0358143 + 0.0983990i 0.956311 0.292352i \(-0.0944377\pi\)
−0.920497 + 0.390751i \(0.872216\pi\)
\(224\) 0.698525 + 6.91536i 0.0466722 + 0.462052i
\(225\) 12.9164 7.36058i 0.861095 0.490705i
\(226\) 3.93558 + 0.333691i 0.261791 + 0.0221968i
\(227\) 7.28225i 0.483340i −0.970359 0.241670i \(-0.922305\pi\)
0.970359 0.241670i \(-0.0776951\pi\)
\(228\) −14.4781 + 15.6319i −0.958833 + 1.03525i
\(229\) 11.6990 0.773093 0.386546 0.922270i \(-0.373668\pi\)
0.386546 + 0.922270i \(0.373668\pi\)
\(230\) −3.05682 5.29623i −0.201560 0.349223i
\(231\) −11.6786 9.79948i −0.768393 0.644758i
\(232\) 4.20214 + 0.333611i 0.275884 + 0.0219027i
\(233\) −9.21904 25.3291i −0.603959 1.65936i −0.743171 0.669102i \(-0.766679\pi\)
0.139211 0.990263i \(-0.455543\pi\)
\(234\) 9.98671 + 9.93331i 0.652852 + 0.649361i
\(235\) 1.39110 2.96141i 0.0907454 0.193181i
\(236\) −3.11552 + 8.70475i −0.202803 + 0.566631i
\(237\) −29.5275 + 5.20650i −1.91802 + 0.338199i
\(238\) −1.23657 4.56595i −0.0801549 0.295966i
\(239\) 18.1863 + 10.4998i 1.17637 + 0.679178i 0.955172 0.296051i \(-0.0956697\pi\)
0.221199 + 0.975229i \(0.429003\pi\)
\(240\) 21.7913 + 1.73303i 1.40662 + 0.111866i
\(241\) −3.42199 4.07816i −0.220430 0.262698i 0.644485 0.764617i \(-0.277072\pi\)
−0.864914 + 0.501919i \(0.832627\pi\)
\(242\) −8.88029 18.9113i −0.570847 1.21567i
\(243\) 7.52258 20.6681i 0.482574 1.32586i
\(244\) −17.8165 10.1594i −1.14058 0.650388i
\(245\) 11.1410 5.15699i 0.711775 0.329468i
\(246\) 3.02820 + 33.5757i 0.193071 + 2.14071i
\(247\) −9.97923 + 10.6593i −0.634963 + 0.678237i
\(248\) 3.35859 + 12.1430i 0.213271 + 0.771080i
\(249\) 40.5721 + 7.15396i 2.57115 + 0.453364i
\(250\) 5.49346 14.8264i 0.347437 0.937703i
\(251\) 7.14389 19.6277i 0.450918 1.23889i −0.481161 0.876632i \(-0.659785\pi\)
0.932079 0.362255i \(-0.117993\pi\)
\(252\) −6.30798 + 3.68714i −0.397365 + 0.232268i
\(253\) 6.31036 + 7.52039i 0.396729 + 0.472803i
\(254\) −7.60591 10.8006i −0.477237 0.677692i
\(255\) −14.8246 + 1.25491i −0.928353 + 0.0785857i
\(256\) 12.4744 + 10.0194i 0.779652 + 0.626214i
\(257\) −1.93740 10.9875i −0.120852 0.685383i −0.983686 0.179896i \(-0.942424\pi\)
0.862834 0.505487i \(-0.168687\pi\)
\(258\) 10.3123 22.2705i 0.642016 1.38650i
\(259\) 4.35243 + 7.53863i 0.270447 + 0.468428i
\(260\) 14.9272 + 1.26770i 0.925745 + 0.0786195i
\(261\) 1.51558 + 4.16402i 0.0938121 + 0.257747i
\(262\) −19.0596 5.05228i −1.17751 0.312131i
\(263\) −15.5022 13.0079i −0.955905 0.802100i 0.0243768 0.999703i \(-0.492240\pi\)
−0.980282 + 0.197603i \(0.936684\pi\)
\(264\) −34.9350 + 3.33971i −2.15010 + 0.205545i
\(265\) 9.19750 + 13.2145i 0.564998 + 0.811758i
\(266\) −4.01830 6.42040i −0.246378 0.393660i
\(267\) 7.09385 0.434137
\(268\) −2.83593 + 0.0152039i −0.173232 + 0.000928728i
\(269\) −9.73420 + 11.6008i −0.593504 + 0.707311i −0.976275 0.216532i \(-0.930525\pi\)
0.382771 + 0.923843i \(0.374970\pi\)
\(270\) −0.0705636 0.193954i −0.00429436 0.0118037i
\(271\) −4.26546 11.7192i −0.259108 0.711894i −0.999223 0.0394133i \(-0.987451\pi\)
0.740115 0.672480i \(-0.234771\pi\)
\(272\) −9.48828 5.34324i −0.575312 0.323982i
\(273\) −8.71174 + 5.02973i −0.527259 + 0.304413i
\(274\) 13.3672 28.8678i 0.807540 1.74397i
\(275\) −4.54860 + 24.9728i −0.274291 + 1.50592i
\(276\) 8.86483 3.28046i 0.533600 0.197461i
\(277\) −14.1483 8.16854i −0.850091 0.490800i 0.0105907 0.999944i \(-0.496629\pi\)
−0.860681 + 0.509144i \(0.829962\pi\)
\(278\) −8.86344 12.5864i −0.531594 0.754880i
\(279\) −10.1456 + 8.51320i −0.607404 + 0.509672i
\(280\) −2.61963 + 7.31609i −0.156553 + 0.437220i
\(281\) −8.41823 + 23.1289i −0.502190 + 1.37975i 0.386942 + 0.922104i \(0.373531\pi\)
−0.889132 + 0.457651i \(0.848691\pi\)
\(282\) 4.15060 + 2.88973i 0.247164 + 0.172081i
\(283\) −1.00523 + 5.70097i −0.0597550 + 0.338887i −0.999999 0.00161494i \(-0.999486\pi\)
0.940244 + 0.340502i \(0.110597\pi\)
\(284\) −25.9719 + 4.72326i −1.54115 + 0.280274i
\(285\) −22.1293 + 8.81795i −1.31083 + 0.522331i
\(286\) −23.9532 + 2.16035i −1.41638 + 0.127744i
\(287\) −11.8020 2.08102i −0.696653 0.122839i
\(288\) −4.13507 + 16.3033i −0.243662 + 0.960680i
\(289\) −9.01061 3.27959i −0.530036 0.192917i
\(290\) 4.08118 + 2.35701i 0.239655 + 0.138409i
\(291\) 3.84556 + 4.58296i 0.225431 + 0.268658i
\(292\) −6.78431 + 5.75498i −0.397022 + 0.336785i
\(293\) 1.39160 2.41032i 0.0812981 0.140813i −0.822510 0.568751i \(-0.807427\pi\)
0.903808 + 0.427939i \(0.140760\pi\)
\(294\) 4.96063 + 18.3168i 0.289310 + 1.06826i
\(295\) −7.32977 + 7.28858i −0.426755 + 0.424358i
\(296\) 19.3967 + 5.03050i 1.12741 + 0.292392i
\(297\) 0.165671 + 0.286950i 0.00961320 + 0.0166506i
\(298\) 11.6777 + 11.6153i 0.676472 + 0.672855i
\(299\) 6.08711 2.21553i 0.352027 0.128127i
\(300\) 21.1626 + 12.2259i 1.22182 + 0.705865i
\(301\) 6.68326 + 5.60792i 0.385217 + 0.323235i
\(302\) −5.15718 0.437268i −0.296763 0.0251620i
\(303\) 37.2107i 2.13770i
\(304\) −17.0224 3.77324i −0.976303 0.216410i
\(305\) −13.0993 18.8204i −0.750066 1.07765i
\(306\) 0.967107 11.4062i 0.0552858 0.652046i
\(307\) 3.66795 4.37129i 0.209341 0.249483i −0.651149 0.758949i \(-0.725713\pi\)
0.860490 + 0.509467i \(0.170157\pi\)
\(308\) 2.10045 12.2974i 0.119684 0.700711i
\(309\) −3.50867 + 1.27705i −0.199601 + 0.0726489i
\(310\) −2.44790 + 13.8717i −0.139031 + 0.787857i
\(311\) −4.66543 + 2.69359i −0.264552 + 0.152739i −0.626409 0.779494i \(-0.715476\pi\)
0.361857 + 0.932234i \(0.382143\pi\)
\(312\) −5.81331 + 22.4151i −0.329114 + 1.26900i
\(313\) 29.7181 5.24011i 1.67977 0.296189i 0.749211 0.662332i \(-0.230433\pi\)
0.930558 + 0.366143i \(0.119322\pi\)
\(314\) 4.62434 + 17.0751i 0.260967 + 0.963601i
\(315\) −8.13985 + 0.689044i −0.458629 + 0.0388232i
\(316\) −15.8718 18.7106i −0.892858 1.05256i
\(317\) 16.1070 13.5154i 0.904658 0.759098i −0.0664369 0.997791i \(-0.521163\pi\)
0.971095 + 0.238692i \(0.0767187\pi\)
\(318\) −22.5268 + 10.5780i −1.26324 + 0.593185i
\(319\) −7.10984 2.58777i −0.398075 0.144887i
\(320\) 7.77443 + 16.1108i 0.434604 + 0.900622i
\(321\) 4.86456 27.5883i 0.271513 1.53983i
\(322\) 0.301830 + 3.34658i 0.0168203 + 0.186498i
\(323\) 11.8489 + 0.644326i 0.659289 + 0.0358513i
\(324\) 17.8658 3.24907i 0.992543 0.180504i
\(325\) 14.4578 + 8.45618i 0.801974 + 0.469064i
\(326\) −3.68801 + 5.29719i −0.204260 + 0.293384i
\(327\) 21.4530 + 7.80826i 1.18635 + 0.431798i
\(328\) −22.4701 + 16.0046i −1.24070 + 0.883704i
\(329\) −1.37724 + 1.15564i −0.0759296 + 0.0637125i
\(330\) −36.8685 13.4247i −2.02955 0.739008i
\(331\) −1.22214 + 2.11680i −0.0671747 + 0.116350i −0.897657 0.440696i \(-0.854732\pi\)
0.830482 + 0.557046i \(0.188065\pi\)
\(332\) 11.7002 + 31.6177i 0.642135 + 1.73525i
\(333\) 3.65785 + 20.7447i 0.200449 + 1.13680i
\(334\) 12.5341 27.0688i 0.685838 1.48114i
\(335\) −2.86985 1.34809i −0.156797 0.0736540i
\(336\) −10.4664 5.89406i −0.570988 0.321547i
\(337\) −19.6630 + 7.15675i −1.07111 + 0.389853i −0.816593 0.577214i \(-0.804140\pi\)
−0.254520 + 0.967068i \(0.581917\pi\)
\(338\) 0.644501 2.43136i 0.0350562 0.132249i
\(339\) −4.38757 + 5.22890i −0.238300 + 0.283995i
\(340\) −7.00844 9.95509i −0.380086 0.539891i
\(341\) 22.6137i 1.22460i
\(342\) −3.82356 17.9254i −0.206754 0.969293i
\(343\) −15.3468 −0.828648
\(344\) 19.9922 1.91121i 1.07791 0.103045i
\(345\) 10.5252 + 0.950719i 0.566657 + 0.0511850i
\(346\) −9.37131 + 35.3530i −0.503805 + 1.90059i
\(347\) 22.6987 8.26166i 1.21853 0.443509i 0.348876 0.937169i \(-0.386563\pi\)
0.869655 + 0.493660i \(0.164341\pi\)
\(348\) −4.65269 + 5.60562i −0.249410 + 0.300493i
\(349\) −11.8162 20.4662i −0.632504 1.09553i −0.987038 0.160486i \(-0.948694\pi\)
0.354534 0.935043i \(-0.384640\pi\)
\(350\) −6.16159 + 6.12530i −0.329351 + 0.327411i
\(351\) 0.215311 0.0379652i 0.0114925 0.00202643i
\(352\) −16.7860 23.3018i −0.894696 1.24199i
\(353\) 0.586857 + 0.338822i 0.0312352 + 0.0180337i 0.515536 0.856868i \(-0.327593\pi\)
−0.484301 + 0.874901i \(0.660926\pi\)
\(354\) −9.19965 13.0638i −0.488956 0.694332i
\(355\) −28.4865 7.71901i −1.51191 0.409683i
\(356\) 2.92943 + 5.01168i 0.155259 + 0.265618i
\(357\) 7.68207 + 2.79605i 0.406578 + 0.147982i
\(358\) 12.8461 18.4512i 0.678939 0.975178i
\(359\) 7.89915 + 1.39283i 0.416901 + 0.0735109i 0.378164 0.925739i \(-0.376555\pi\)
0.0387369 + 0.999249i \(0.487667\pi\)
\(360\) −12.0120 + 14.4682i −0.633091 + 0.762544i
\(361\) 18.4535 4.52402i 0.971239 0.238106i
\(362\) −15.0390 + 1.35637i −0.790430 + 0.0712892i
\(363\) 35.5578 + 6.26979i 1.86630 + 0.329079i
\(364\) −7.15095 4.07765i −0.374812 0.213727i
\(365\) −9.61482 + 2.54727i −0.503263 + 0.133330i
\(366\) 32.0832 15.0655i 1.67702 0.787486i
\(367\) 22.8689 19.1893i 1.19375 1.00167i 0.193962 0.981009i \(-0.437866\pi\)
0.999786 0.0206644i \(-0.00657814\pi\)
\(368\) 5.97835 + 4.90816i 0.311643 + 0.255856i
\(369\) −25.1149 14.5001i −1.30743 0.754843i
\(370\) 17.1602 + 14.4031i 0.892116 + 0.748782i
\(371\) −1.53624 8.71247i −0.0797578 0.452329i
\(372\) −20.4998 7.33711i −1.06287 0.380412i
\(373\) 12.6740 + 21.9521i 0.656237 + 1.13664i 0.981582 + 0.191041i \(0.0611863\pi\)
−0.325345 + 0.945595i \(0.605480\pi\)
\(374\) 13.8576 + 13.7835i 0.716558 + 0.712727i
\(375\) 15.4833 + 22.5151i 0.799555 + 1.16267i
\(376\) −0.327539 + 4.12564i −0.0168915 + 0.212764i
\(377\) −3.20908 + 3.82443i −0.165276 + 0.196968i
\(378\) −0.00958144 + 0.113004i −0.000492816 + 0.00581232i
\(379\) 4.26642 0.219151 0.109576 0.993978i \(-0.465051\pi\)
0.109576 + 0.993978i \(0.465051\pi\)
\(380\) −15.3681 11.9926i −0.788367 0.615205i
\(381\) 22.8294 1.16958
\(382\) −1.35079 + 15.9313i −0.0691124 + 0.815118i
\(383\) −0.835703 + 0.995952i −0.0427024 + 0.0508908i −0.786973 0.616988i \(-0.788353\pi\)
0.744271 + 0.667878i \(0.232797\pi\)
\(384\) −26.5699 + 7.65650i −1.35589 + 0.390719i
\(385\) 8.03243 11.4030i 0.409370 0.581150i
\(386\) 7.47166 + 7.43171i 0.380298 + 0.378264i
\(387\) 10.5560 + 18.2835i 0.536591 + 0.929403i
\(388\) −1.64974 + 4.60936i −0.0837529 + 0.234005i
\(389\) 2.04635 + 11.6054i 0.103754 + 0.588419i 0.991711 + 0.128491i \(0.0410134\pi\)
−0.887957 + 0.459927i \(0.847875\pi\)
\(390\) −16.6444 + 19.8305i −0.842823 + 1.00416i
\(391\) −4.55905 2.63217i −0.230561 0.133114i
\(392\) −10.8920 + 11.0686i −0.550127 + 0.559047i
\(393\) 26.1039 21.9038i 1.31677 1.10490i
\(394\) 6.28704 2.95224i 0.316736 0.148732i
\(395\) −7.02519 26.5170i −0.353476 1.33421i
\(396\) 14.9543 26.2252i 0.751480 1.31787i
\(397\) −5.78645 1.02031i −0.290414 0.0512078i 0.0265433 0.999648i \(-0.491550\pi\)
−0.316957 + 0.948440i \(0.602661\pi\)
\(398\) 5.11257 0.461105i 0.256270 0.0231131i
\(399\) 13.0703 + 0.710747i 0.654335 + 0.0355819i
\(400\) 0.101760 + 19.9997i 0.00508800 + 0.999987i
\(401\) −34.7646 6.12995i −1.73606 0.306115i −0.786013 0.618210i \(-0.787858\pi\)
−0.950051 + 0.312095i \(0.898969\pi\)
\(402\) 2.80038 4.02226i 0.139670 0.200612i
\(403\) −14.0216 5.10343i −0.698464 0.254220i
\(404\) −26.2887 + 15.3663i −1.30791 + 0.764501i
\(405\) 19.5955 + 5.30981i 0.973708 + 0.263847i
\(406\) −1.49107 2.11736i −0.0740005 0.105083i
\(407\) −31.1482 17.9834i −1.54396 0.891406i
\(408\) 16.9912 8.09010i 0.841189 0.400519i
\(409\) 29.7149 5.23953i 1.46931 0.259078i 0.619010 0.785383i \(-0.287534\pi\)
0.850296 + 0.526305i \(0.176423\pi\)
\(410\) −30.3755 + 5.35175i −1.50014 + 0.264304i
\(411\) 27.4890 + 47.6123i 1.35593 + 2.34854i
\(412\) −2.35113 1.95145i −0.115832 0.0961409i
\(413\) 5.33740 1.94266i 0.262636 0.0955918i
\(414\) −2.08345 + 7.85976i −0.102396 + 0.386286i
\(415\) −3.39088 + 37.5396i −0.166452 + 1.84275i
\(416\) −18.2365 + 5.14937i −0.894116 + 0.252469i
\(417\) 26.6039 1.30280
\(418\) 27.6424 + 14.6724i 1.35204 + 0.717650i
\(419\) 14.6449i 0.715448i 0.933827 + 0.357724i \(0.116447\pi\)
−0.933827 + 0.357724i \(0.883553\pi\)
\(420\) −7.73091 10.9813i −0.377230 0.535834i
\(421\) 20.9900 25.0149i 1.02299 1.21915i 0.0475559 0.998869i \(-0.484857\pi\)
0.975436 0.220285i \(-0.0706988\pi\)
\(422\) −4.14368 + 15.6319i −0.201711 + 0.760950i
\(423\) −4.08823 + 1.48799i −0.198776 + 0.0723487i
\(424\) −16.7757 11.5465i −0.814699 0.560749i
\(425\) −2.28808 13.4180i −0.110988 0.650868i
\(426\) 19.1692 41.3979i 0.928753 2.00574i
\(427\) 2.18796 + 12.4085i 0.105883 + 0.600491i
\(428\) 21.4995 7.95595i 1.03922 0.384565i
\(429\) 20.7819 35.9953i 1.00336 1.73787i
\(430\) 21.0987 + 7.68255i 1.01747 + 0.370485i
\(431\) 25.4187 21.3288i 1.22438 1.02737i 0.225793 0.974175i \(-0.427503\pi\)
0.998584 0.0531986i \(-0.0169416\pi\)
\(432\) 0.169945 + 0.198178i 0.00817649 + 0.00953485i
\(433\) 9.11327 + 3.31696i 0.437956 + 0.159403i 0.551582 0.834121i \(-0.314024\pi\)
−0.113626 + 0.993524i \(0.536247\pi\)
\(434\) 4.42253 6.35219i 0.212288 0.304915i
\(435\) −7.39138 + 3.42134i −0.354390 + 0.164041i
\(436\) 3.34270 + 18.3806i 0.160086 + 0.880272i
\(437\) −8.20928 1.91226i −0.392703 0.0914759i
\(438\) −1.38105 15.3126i −0.0659891 0.731665i
\(439\) 1.41623 8.03186i 0.0675931 0.383340i −0.932179 0.361997i \(-0.882095\pi\)
0.999772 0.0213422i \(-0.00679396\pi\)
\(440\) −5.74064 31.5907i −0.273674 1.50603i
\(441\) −15.3398 5.58324i −0.730468 0.265869i
\(442\) 11.6738 5.48171i 0.555264 0.260738i
\(443\) −3.10998 + 2.60958i −0.147760 + 0.123985i −0.713671 0.700481i \(-0.752969\pi\)
0.565911 + 0.824466i \(0.308524\pi\)
\(444\) −26.4086 + 22.4018i −1.25329 + 1.06314i
\(445\) 0.547445 + 6.46710i 0.0259514 + 0.306570i
\(446\) −0.578083 2.13453i −0.0273730 0.101073i
\(447\) −28.0321 + 4.94281i −1.32587 + 0.233787i
\(448\) −0.158086 9.82829i −0.00746886 0.464343i
\(449\) −10.6801 + 6.16614i −0.504024 + 0.290998i −0.730374 0.683048i \(-0.760654\pi\)
0.226350 + 0.974046i \(0.427321\pi\)
\(450\) −19.0807 + 8.82896i −0.899474 + 0.416201i
\(451\) 46.5299 16.9355i 2.19101 0.797462i
\(452\) −5.50598 0.940446i −0.258980 0.0442349i
\(453\) 5.74947 6.85195i 0.270134 0.321933i
\(454\) −0.870083 + 10.2618i −0.0408350 + 0.481612i
\(455\) −5.25764 7.55390i −0.246482 0.354132i
\(456\) 22.2696 20.2980i 1.04287 0.950540i
\(457\) 4.91890i 0.230097i −0.993360 0.115048i \(-0.963298\pi\)
0.993360 0.115048i \(-0.0367023\pi\)
\(458\) −16.4858 1.39780i −0.770329 0.0653148i
\(459\) −0.136109 0.114209i −0.00635303 0.00533083i
\(460\) 3.67474 + 7.82845i 0.171336 + 0.365003i
\(461\) −9.27338 + 3.37523i −0.431904 + 0.157200i −0.548818 0.835942i \(-0.684922\pi\)
0.116914 + 0.993142i \(0.462700\pi\)
\(462\) 15.2861 + 15.2044i 0.711174 + 0.707371i
\(463\) 4.03263 + 6.98472i 0.187412 + 0.324607i 0.944387 0.328837i \(-0.106657\pi\)
−0.756975 + 0.653444i \(0.773323\pi\)
\(464\) −5.88161 0.972182i −0.273047 0.0451324i
\(465\) −17.1648 17.2617i −0.795996 0.800494i
\(466\) 9.96476 + 36.7942i 0.461608 + 1.70446i
\(467\) −4.40768 + 7.63432i −0.203963 + 0.353274i −0.949802 0.312852i \(-0.898716\pi\)
0.745839 + 0.666126i \(0.232049\pi\)
\(468\) −12.8860 15.1908i −0.595656 0.702196i
\(469\) 1.11991 + 1.33466i 0.0517126 + 0.0616287i
\(470\) −2.31411 + 4.00689i −0.106742 + 0.184824i
\(471\) −28.7283 10.4562i −1.32373 0.481798i
\(472\) 5.43030 11.8941i 0.249950 0.547471i
\(473\) −35.4999 6.25958i −1.63229 0.287816i
\(474\) 42.2310 3.80883i 1.93974 0.174945i
\(475\) −9.74663 19.4937i −0.447206 0.894431i
\(476\) 1.19698 + 6.58188i 0.0548636 + 0.301680i
\(477\) 3.71753 21.0831i 0.170214 0.965331i
\(478\) −24.3728 16.9688i −1.11478 0.776136i
\(479\) −10.2534 + 28.1710i −0.468491 + 1.28717i 0.450461 + 0.892796i \(0.351260\pi\)
−0.918951 + 0.394371i \(0.870962\pi\)
\(480\) −30.5003 5.04573i −1.39214 0.230305i
\(481\) −18.1801 + 15.2549i −0.828940 + 0.695563i
\(482\) 4.33486 + 6.15563i 0.197447 + 0.280381i
\(483\) −5.02902 2.90351i −0.228828 0.132114i
\(484\) 10.2542 + 27.7100i 0.466100 + 1.25955i
\(485\) −3.88128 + 3.85947i −0.176240 + 0.175250i
\(486\) −13.0699 + 28.2258i −0.592864 + 1.28035i
\(487\) −18.7058 + 10.7998i −0.847641 + 0.489386i −0.859854 0.510540i \(-0.829446\pi\)
0.0122133 + 0.999925i \(0.496112\pi\)
\(488\) 23.8924 + 16.4449i 1.08156 + 0.744425i
\(489\) −3.81515 10.4820i −0.172527 0.474015i
\(490\) −16.3156 + 5.93589i −0.737066 + 0.268156i
\(491\) −2.75673 + 3.28535i −0.124410 + 0.148266i −0.824654 0.565638i \(-0.808630\pi\)
0.700244 + 0.713903i \(0.253074\pi\)
\(492\) −0.255596 47.6752i −0.0115231 2.14937i
\(493\) 4.05724 0.182729
\(494\) 15.3359 13.8284i 0.689994 0.622168i
\(495\) 27.7030 19.2817i 1.24516 0.866650i
\(496\) −3.28194 17.5127i −0.147364 0.786342i
\(497\) 12.4233 + 10.4244i 0.557262 + 0.467599i
\(498\) −56.3177 14.9286i −2.52366 0.668967i
\(499\) −13.7777 37.8539i −0.616775 1.69458i −0.714744 0.699386i \(-0.753457\pi\)
0.0979692 0.995189i \(-0.468765\pi\)
\(500\) −9.51261 + 20.2364i −0.425417 + 0.904997i
\(501\) 25.7759 + 44.6452i 1.15158 + 1.99460i
\(502\) −12.4120 + 26.8049i −0.553973 + 1.19636i
\(503\) −4.87601 27.6532i −0.217411 1.23300i −0.876674 0.481085i \(-0.840243\pi\)
0.659264 0.751912i \(-0.270868\pi\)
\(504\) 9.32947 4.44209i 0.415568 0.197866i
\(505\) −33.9231 + 2.87161i −1.50956 + 0.127785i
\(506\) −7.99375 11.3514i −0.355366 0.504630i
\(507\) 2.79418 + 3.32998i 0.124094 + 0.147889i
\(508\) 9.42747 + 16.1285i 0.418276 + 0.715588i
\(509\) −0.503649 + 1.38377i −0.0223239 + 0.0613343i −0.950354 0.311171i \(-0.899279\pi\)
0.928030 + 0.372505i \(0.121501\pi\)
\(510\) 21.0401 + 0.00287317i 0.931673 + 0.000127226i
\(511\) 5.38247 + 0.949075i 0.238107 + 0.0419846i
\(512\) −16.3813 15.6094i −0.723958 0.689844i
\(513\) −0.261656 0.111674i −0.0115524 0.00493052i
\(514\) 1.41731 + 15.7146i 0.0625148 + 0.693143i
\(515\) −1.43499 3.10012i −0.0632333 0.136608i
\(516\) −17.1925 + 30.1505i −0.756859 + 1.32730i
\(517\) 2.54066 6.98042i 0.111738 0.306998i
\(518\) −5.23255 11.1432i −0.229905 0.489602i
\(519\) −40.6286 48.4192i −1.78340 2.12537i
\(520\) −20.8833 3.56989i −0.915793 0.156550i
\(521\) −2.32788 1.34400i −0.101986 0.0588817i 0.448139 0.893964i \(-0.352087\pi\)
−0.550126 + 0.835082i \(0.685420\pi\)
\(522\) −1.63817 6.04885i −0.0717010 0.264751i
\(523\) 11.2870 1.99021i 0.493547 0.0870257i 0.0786657 0.996901i \(-0.474934\pi\)
0.414882 + 0.909875i \(0.363823\pi\)
\(524\) 26.2543 + 9.39670i 1.14693 + 0.410497i
\(525\) −2.52395 14.8012i −0.110154 0.645977i
\(526\) 20.2908 + 20.1823i 0.884722 + 0.879992i
\(527\) 4.14745 + 11.3950i 0.180666 + 0.496375i
\(528\) 49.6280 0.532145i 2.15978 0.0231586i
\(529\) −14.7545 12.3805i −0.641498 0.538281i
\(530\) −11.3819 19.7202i −0.494396 0.856590i
\(531\) 13.7448 0.596473
\(532\) 4.89531 + 9.52746i 0.212238 + 0.413068i
\(533\) 32.6727i 1.41521i
\(534\) −9.99636 0.847573i −0.432585 0.0366781i
\(535\) 25.5262 + 2.30573i 1.10360 + 0.0996856i
\(536\) 3.99808 + 0.317412i 0.172691 + 0.0137101i
\(537\) 13.2890 + 36.5112i 0.573462 + 1.57557i
\(538\) 15.1031 15.1843i 0.651140 0.654640i
\(539\) 24.1386 13.9364i 1.03972 0.600284i
\(540\) 0.0762615 + 0.281743i 0.00328177 + 0.0121243i
\(541\) 2.32642 + 13.1938i 0.100020 + 0.567244i 0.993093 + 0.117331i \(0.0374339\pi\)
−0.893072 + 0.449913i \(0.851455\pi\)
\(542\) 4.61049 + 17.0239i 0.198037 + 0.731239i
\(543\) 13.0478 22.5995i 0.559937 0.969839i
\(544\) 12.7321 + 8.66313i 0.545883 + 0.371429i
\(545\) −5.46282 + 20.1602i −0.234002 + 0.863568i
\(546\) 12.8772 6.04680i 0.551092 0.258779i
\(547\) 3.81741 10.4883i 0.163221 0.448445i −0.830939 0.556363i \(-0.812196\pi\)
0.994160 + 0.107918i \(0.0344185\pi\)
\(548\) −22.2856 + 39.0821i −0.951992 + 1.66951i
\(549\) −5.29461 + 30.0272i −0.225968 + 1.28153i
\(550\) 9.39345 34.6472i 0.400538 1.47736i
\(551\) 6.21616 1.88712i 0.264818 0.0803941i
\(552\) −12.8839 + 3.56352i −0.548375 + 0.151673i
\(553\) −2.61748 + 14.8445i −0.111306 + 0.631250i
\(554\) 18.9612 + 13.2012i 0.805586 + 0.560865i
\(555\) −37.4266 + 9.91550i −1.58867 + 0.420889i
\(556\) 10.9862 + 18.7952i 0.465917 + 0.797093i
\(557\) 23.3548 + 27.8332i 0.989576 + 1.17933i 0.983786 + 0.179348i \(0.0573988\pi\)
0.00579054 + 0.999983i \(0.498157\pi\)
\(558\) 15.3140 10.7842i 0.648292 0.456533i
\(559\) −11.8928 + 20.5989i −0.503012 + 0.871242i
\(560\) 4.56560 9.99653i 0.192932 0.422430i
\(561\) −33.2648 + 5.86548i −1.40444 + 0.247641i
\(562\) 14.6261 31.5865i 0.616963 1.33239i
\(563\) −22.2837 + 12.8655i −0.939147 + 0.542217i −0.889693 0.456560i \(-0.849081\pi\)
−0.0494539 + 0.998776i \(0.515748\pi\)
\(564\) −5.50358 4.56800i −0.231742 0.192347i
\(565\) −5.10552 3.59640i −0.214791 0.151302i
\(566\) 2.09768 7.91345i 0.0881722 0.332627i
\(567\) −8.54585 7.17082i −0.358892 0.301146i
\(568\) 37.1629 3.55269i 1.55932 0.149068i
\(569\) 19.8922i 0.833925i 0.908924 + 0.416962i \(0.136905\pi\)
−0.908924 + 0.416962i \(0.863095\pi\)
\(570\) 32.2373 9.78188i 1.35027 0.409718i
\(571\) 24.1613i 1.01112i 0.862792 + 0.505559i \(0.168714\pi\)
−0.862792 + 0.505559i \(0.831286\pi\)
\(572\) 34.0120 0.182344i 1.42211 0.00762420i
\(573\) −21.1667 17.7610i −0.884252 0.741976i
\(574\) 16.3823 + 4.34259i 0.683784 + 0.181256i
\(575\) −0.0544760 + 9.66863i −0.00227181 + 0.403210i
\(576\) 7.77488 22.4798i 0.323954 0.936659i
\(577\) 13.5023 7.79554i 0.562107 0.324532i −0.191884 0.981418i \(-0.561460\pi\)
0.753991 + 0.656885i \(0.228126\pi\)
\(578\) 12.3055 + 5.69805i 0.511842 + 0.237008i
\(579\) −17.9355 + 3.16252i −0.745376 + 0.131430i
\(580\) −5.46941 3.80902i −0.227105 0.158161i
\(581\) 10.3558 17.9368i 0.429631 0.744142i
\(582\) −4.87142 6.91758i −0.201927 0.286743i
\(583\) 23.4962 + 28.0017i 0.973114 + 1.15971i
\(584\) 10.2478 7.29908i 0.424056 0.302038i
\(585\) −5.70362 21.5286i −0.235816 0.890099i
\(586\) −2.24897 + 3.23025i −0.0929040 + 0.133441i
\(587\) 0.655374 3.71681i 0.0270502 0.153409i −0.968291 0.249825i \(-0.919627\pi\)
0.995341 + 0.0964161i \(0.0307379\pi\)
\(588\) −4.80182 26.4039i −0.198024 1.08888i
\(589\) 11.6545 + 15.5294i 0.480214 + 0.639878i
\(590\) 11.1996 9.39500i 0.461082 0.386786i
\(591\) −2.08438 + 11.8211i −0.0857400 + 0.486256i
\(592\) −26.7319 9.40629i −1.09868 0.386596i
\(593\) 3.67655 10.1012i 0.150978 0.414808i −0.841029 0.540990i \(-0.818050\pi\)
0.992007 + 0.126181i \(0.0402721\pi\)
\(594\) −0.199172 0.424153i −0.00817211 0.0174032i
\(595\) −1.95617 + 7.21913i −0.0801953 + 0.295955i
\(596\) −15.0679 17.7630i −0.617207 0.727601i
\(597\) −4.43568 + 7.68283i −0.181540 + 0.314437i
\(598\) −8.84241 + 2.39474i −0.361593 + 0.0979282i
\(599\) −4.26450 24.1852i −0.174243 0.988179i −0.939014 0.343878i \(-0.888259\pi\)
0.764772 0.644301i \(-0.222852\pi\)
\(600\) −28.3607 19.7568i −1.15782 0.806567i
\(601\) 12.1327 7.00482i 0.494903 0.285732i −0.231703 0.972787i \(-0.574430\pi\)
0.726606 + 0.687054i \(0.241096\pi\)
\(602\) −8.74774 8.70096i −0.356531 0.354625i
\(603\) 1.44199 + 3.96182i 0.0587222 + 0.161338i
\(604\) 7.21504 + 1.23236i 0.293576 + 0.0501440i
\(605\) −2.97180 + 32.9000i −0.120821 + 1.33758i
\(606\) 4.44593 52.4357i 0.180604 2.13006i
\(607\) 12.7254i 0.516508i −0.966077 0.258254i \(-0.916853\pi\)
0.966077 0.258254i \(-0.0831472\pi\)
\(608\) 23.5364 + 7.35092i 0.954529 + 0.298119i
\(609\) 4.47549 0.181356
\(610\) 16.2104 + 28.0860i 0.656338 + 1.13717i
\(611\) −3.75481 3.15066i −0.151904 0.127462i
\(612\) −2.72561 + 15.9575i −0.110176 + 0.645044i
\(613\) 13.5934 + 37.3474i 0.549030 + 1.50845i 0.835022 + 0.550216i \(0.185455\pi\)
−0.285992 + 0.958232i \(0.592323\pi\)
\(614\) −5.69100 + 5.72159i −0.229670 + 0.230904i
\(615\) 22.6629 48.2455i 0.913858 1.94545i
\(616\) −4.42916 + 17.0780i −0.178456 + 0.688094i
\(617\) 41.9836 7.40285i 1.69020 0.298027i 0.755944 0.654637i \(-0.227178\pi\)
0.934254 + 0.356609i \(0.116067\pi\)
\(618\) 5.09685 1.38035i 0.205025 0.0555258i
\(619\) −20.6030 11.8952i −0.828106 0.478107i 0.0250980 0.999685i \(-0.492010\pi\)
−0.853204 + 0.521578i \(0.825344\pi\)
\(620\) 5.10686 19.2549i 0.205097 0.773295i
\(621\) 0.0811262 + 0.0966825i 0.00325548 + 0.00387973i
\(622\) 6.89616 3.23826i 0.276511 0.129843i
\(623\) 1.21975 3.35124i 0.0488683 0.134264i
\(624\) 10.8700 30.8918i 0.435149 1.23666i
\(625\) −19.3310 + 15.8529i −0.773239 + 0.634115i
\(626\) −42.5036 + 3.83342i −1.69879 + 0.153214i
\(627\) −48.2373 + 24.4588i −1.92641 + 0.976792i
\(628\) −4.47630 24.6140i −0.178624 0.982204i
\(629\) 18.9938 + 3.34911i 0.757331 + 0.133538i
\(630\) 11.5527 + 0.00157759i 0.460269 + 6.28528e-5i
\(631\) −1.31894 + 3.62376i −0.0525062 + 0.144260i −0.963173 0.268881i \(-0.913346\pi\)
0.910667 + 0.413141i \(0.135568\pi\)
\(632\) 20.1303 + 28.2626i 0.800741 + 1.12423i
\(633\) −17.9646 21.4094i −0.714029 0.850946i
\(634\) −24.3121 + 17.1208i −0.965556 + 0.679954i
\(635\) 1.76178 + 20.8124i 0.0699142 + 0.825914i
\(636\) 33.0076 12.2146i 1.30884 0.484340i
\(637\) −3.19367 18.1122i −0.126538 0.717632i
\(638\) 9.70970 + 4.49606i 0.384411 + 0.178001i
\(639\) 19.6222 + 33.9867i 0.776243 + 1.34449i
\(640\) −9.03048 23.6316i −0.356961 0.934119i
\(641\) 15.2538 + 41.9094i 0.602488 + 1.65532i 0.746216 + 0.665704i \(0.231869\pi\)
−0.143728 + 0.989617i \(0.545909\pi\)
\(642\) −10.1512 + 38.2950i −0.400635 + 1.51138i
\(643\) −25.5499 21.4389i −1.00759 0.845466i −0.0195703 0.999808i \(-0.506230\pi\)
−0.988017 + 0.154342i \(0.950674\pi\)
\(644\) −0.0254760 4.75193i −0.00100389 0.187252i
\(645\) −31.8494 + 22.1677i −1.25407 + 0.872854i
\(646\) −16.6200 2.32366i −0.653903 0.0914232i
\(647\) 17.8171 0.700463 0.350232 0.936663i \(-0.386103\pi\)
0.350232 + 0.936663i \(0.386103\pi\)
\(648\) −25.5639 + 2.44385i −1.00424 + 0.0960035i
\(649\) −15.0852 + 17.9779i −0.592147 + 0.705694i
\(650\) −19.3630 13.6435i −0.759478 0.535142i
\(651\) 4.57499 + 12.5697i 0.179308 + 0.492645i
\(652\) 5.82990 7.02393i 0.228316 0.275078i
\(653\) 10.5263 6.07738i 0.411927 0.237826i −0.279690 0.960090i \(-0.590232\pi\)
0.691618 + 0.722264i \(0.256898\pi\)
\(654\) −29.2977 13.5663i −1.14563 0.530483i
\(655\) 21.9830 + 22.1073i 0.858949 + 0.863802i
\(656\) 33.5761 19.8682i 1.31093 0.775724i
\(657\) 11.4539 + 6.61294i 0.446861 + 0.257995i
\(658\) 2.07882 1.46393i 0.0810409 0.0570698i
\(659\) 19.7313 16.5565i 0.768623 0.644951i −0.171733 0.985144i \(-0.554937\pi\)
0.940356 + 0.340192i \(0.110492\pi\)
\(660\) 50.3496 + 23.3226i 1.95985 + 0.907832i
\(661\) 5.25705 14.4436i 0.204476 0.561792i −0.794489 0.607278i \(-0.792261\pi\)
0.998965 + 0.0454858i \(0.0144836\pi\)
\(662\) 1.97510 2.83689i 0.0767644 0.110259i
\(663\) −3.87028 + 21.9494i −0.150309 + 0.852446i
\(664\) −12.7098 45.9523i −0.493236 1.78329i
\(665\) 0.360708 + 11.9704i 0.0139876 + 0.464192i
\(666\) −2.67591 29.6696i −0.103690 1.14967i
\(667\) −2.83820 0.500451i −0.109896 0.0193775i
\(668\) −20.8968 + 36.6466i −0.808520 + 1.41790i
\(669\) 3.59129 + 1.30712i 0.138847 + 0.0505362i
\(670\) 3.88300 + 2.24256i 0.150013 + 0.0866376i
\(671\) −33.4640 39.8808i −1.29186 1.53958i
\(672\) 14.0446 + 9.55618i 0.541781 + 0.368638i
\(673\) −12.7003 + 21.9976i −0.489562 + 0.847946i −0.999928 0.0120114i \(-0.996177\pi\)
0.510366 + 0.859957i \(0.329510\pi\)
\(674\) 28.5634 7.73565i 1.10022 0.297966i
\(675\) −0.0584770 + 0.321051i −0.00225078 + 0.0123573i
\(676\) −1.19870 + 3.34916i −0.0461039 + 0.128814i
\(677\) −13.8452 23.9805i −0.532113 0.921646i −0.999297 0.0374862i \(-0.988065\pi\)
0.467185 0.884160i \(-0.345268\pi\)
\(678\) 6.80752 6.84412i 0.261441 0.262847i
\(679\) 2.82628 1.02868i 0.108463 0.0394771i
\(680\) 8.68656 + 14.8657i 0.333115 + 0.570072i
\(681\) −13.6341 11.4404i −0.522460 0.438396i
\(682\) −2.70189 + 31.8663i −0.103461 + 1.22022i
\(683\) 24.4971i 0.937357i −0.883369 0.468678i \(-0.844730\pi\)
0.883369 0.468678i \(-0.155270\pi\)
\(684\) 3.24627 + 25.7165i 0.124124 + 0.983295i
\(685\) −41.2843 + 28.7346i −1.57739 + 1.09789i
\(686\) 21.6260 + 1.83363i 0.825685 + 0.0700084i
\(687\) 18.3791 21.9033i 0.701206 0.835665i
\(688\) −28.4005 + 0.304529i −1.08276 + 0.0116101i
\(689\) 22.6650 8.24937i 0.863467 0.314276i
\(690\) −14.7180 2.59726i −0.560306 0.0988760i
\(691\) 37.6906 21.7606i 1.43382 0.827814i 0.436407 0.899749i \(-0.356251\pi\)
0.997409 + 0.0719353i \(0.0229175\pi\)
\(692\) 17.4296 48.6982i 0.662575 1.85123i
\(693\) −18.2649 + 3.22060i −0.693827 + 0.122340i
\(694\) −32.9732 + 8.92994i −1.25164 + 0.338976i
\(695\) 2.05307 + 24.2534i 0.0778773 + 0.919984i
\(696\) 7.22613 7.34329i 0.273906 0.278347i
\(697\) −20.3403 + 17.0675i −0.770444 + 0.646479i
\(698\) 14.2055 + 30.2519i 0.537687 + 1.14505i
\(699\) −61.9051 22.5316i −2.34147 0.852225i
\(700\) 9.41450 7.89533i 0.355835 0.298415i
\(701\) 5.97597 33.8914i 0.225709 1.28006i −0.635615 0.772006i \(-0.719254\pi\)
0.861325 0.508055i \(-0.169635\pi\)
\(702\) −0.307943 + 0.0277735i −0.0116226 + 0.00104824i
\(703\) 30.6584 3.70323i 1.15630 0.139670i
\(704\) 20.8700 + 34.8415i 0.786567 + 1.31314i
\(705\) −3.35906 7.25683i −0.126510 0.273308i
\(706\) −0.786491 0.547571i −0.0296000 0.0206081i
\(707\) 17.5789 + 6.39818i 0.661121 + 0.240628i
\(708\) 11.4029 + 19.5081i 0.428547 + 0.733160i
\(709\) 6.90401 5.79315i 0.259286 0.217567i −0.503873 0.863778i \(-0.668092\pi\)
0.763159 + 0.646211i \(0.223648\pi\)
\(710\) 39.2197 + 14.2809i 1.47189 + 0.535951i
\(711\) −18.2380 + 31.5891i −0.683978 + 1.18468i
\(712\) −3.52923 7.41225i −0.132264 0.277786i
\(713\) −1.49575 8.48283i −0.0560164 0.317685i
\(714\) −10.4912 4.85792i −0.392622 0.181803i
\(715\) 34.4188 + 16.1680i 1.28719 + 0.604648i
\(716\) −20.3068 + 24.4659i −0.758900 + 0.914332i
\(717\) 48.2287 17.5538i 1.80113 0.655559i
\(718\) −10.9647 2.90651i −0.409200 0.108470i
\(719\) −14.3829 + 17.1409i −0.536391 + 0.639246i −0.964375 0.264540i \(-0.914780\pi\)
0.427983 + 0.903787i \(0.359224\pi\)
\(720\) 18.6555 18.9528i 0.695251 0.706331i
\(721\) 1.87713i 0.0699078i
\(722\) −26.5445 + 4.17023i −0.987883 + 0.155200i
\(723\) −13.0112 −0.483892
\(724\) 21.3543 0.114484i 0.793627 0.00425478i
\(725\) −3.68947 6.47431i −0.137023 0.240450i
\(726\) −49.3574 13.0836i −1.83182 0.485577i
\(727\) 31.0758 11.3107i 1.15254 0.419489i 0.306111 0.951996i \(-0.400972\pi\)
0.846426 + 0.532507i \(0.178750\pi\)
\(728\) 9.58962 + 6.60044i 0.355415 + 0.244629i
\(729\) −13.2586 22.9646i −0.491059 0.850540i
\(730\) 13.8531 2.44073i 0.512728 0.0903356i
\(731\) 19.0364 3.35662i 0.704085 0.124149i
\(732\) −47.0104 + 17.3964i −1.73755 + 0.642988i
\(733\) 0.322179 + 0.186010i 0.0119000 + 0.00687045i 0.505938 0.862570i \(-0.331146\pi\)
−0.494038 + 0.869440i \(0.664480\pi\)
\(734\) −34.5186 + 24.3084i −1.27411 + 0.897238i
\(735\) 7.84740 28.9603i 0.289456 1.06822i
\(736\) −7.83800 7.63067i −0.288913 0.281270i
\(737\) −6.76459 2.46211i −0.249177 0.0906930i
\(738\) 33.6583 + 23.4336i 1.23898 + 0.862603i
\(739\) 3.59776 + 0.634382i 0.132346 + 0.0233361i 0.239429 0.970914i \(-0.423040\pi\)
−0.107083 + 0.994250i \(0.534151\pi\)
\(740\) −22.4605 22.3465i −0.825666 0.821475i
\(741\) 4.27950 + 35.4292i 0.157211 + 1.30153i
\(742\) 1.12384 + 12.4608i 0.0412576 + 0.457450i
\(743\) −4.21606 0.743404i −0.154672 0.0272729i 0.0957759 0.995403i \(-0.469467\pi\)
−0.250448 + 0.968130i \(0.580578\pi\)
\(744\) 28.0109 + 12.7885i 1.02693 + 0.468848i
\(745\) −6.66939 25.1740i −0.244347 0.922302i
\(746\) −15.2369 32.4482i −0.557862 1.18801i
\(747\) 38.3938 32.2162i 1.40476 1.17873i
\(748\) −17.8807 21.0788i −0.653781 0.770717i
\(749\) −12.1967 7.04174i −0.445656 0.257300i
\(750\) −19.1283 33.5772i −0.698468 1.22607i
\(751\) 2.55851 + 14.5100i 0.0933615 + 0.529479i 0.995237 + 0.0974835i \(0.0310793\pi\)
−0.901876 + 0.431996i \(0.857810\pi\)
\(752\) 0.954485 5.77455i 0.0348065 0.210576i
\(753\) −25.5247 44.2100i −0.930170 1.61110i
\(754\) 4.97904 5.00580i 0.181326 0.182301i
\(755\) 6.69027 + 4.71272i 0.243484 + 0.171513i
\(756\) 0.0270035 0.158096i 0.000982108 0.00574990i
\(757\) 16.8617 20.0950i 0.612848 0.730364i −0.366975 0.930231i \(-0.619606\pi\)
0.979823 + 0.199867i \(0.0640509\pi\)
\(758\) −6.01206 0.509752i −0.218368 0.0185150i
\(759\) 23.9935 0.870909
\(760\) 20.2232 + 18.7356i 0.733573 + 0.679611i
\(761\) 32.7640 1.18769 0.593846 0.804579i \(-0.297609\pi\)
0.593846 + 0.804579i \(0.297609\pi\)
\(762\) −32.1702 2.72765i −1.16540 0.0988124i
\(763\) 7.37746 8.79212i 0.267082 0.318296i
\(764\) 3.80695 22.2884i 0.137731 0.806365i
\(765\) −10.4231 + 14.7969i −0.376849 + 0.534982i
\(766\) 1.29663 1.30360i 0.0468493 0.0471011i
\(767\) 7.74272 + 13.4108i 0.279573 + 0.484235i
\(768\) 38.3560 7.61464i 1.38405 0.274770i