Properties

Label 380.2.bb.a.219.10
Level $380$
Weight $2$
Character 380.219
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 219.10
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.08636 + 0.905441i) q^{2} +(-1.75425 - 2.09063i) q^{3} +(0.360351 - 1.96727i) q^{4} +(-2.18548 + 0.472930i) q^{5} +(3.79868 + 0.682806i) q^{6} +(-1.59127 + 2.75617i) q^{7} +(1.38978 + 2.46344i) q^{8} +(-0.772405 + 4.38052i) q^{9} +O(q^{10})\) \(q+(-1.08636 + 0.905441i) q^{2} +(-1.75425 - 2.09063i) q^{3} +(0.360351 - 1.96727i) q^{4} +(-2.18548 + 0.472930i) q^{5} +(3.79868 + 0.682806i) q^{6} +(-1.59127 + 2.75617i) q^{7} +(1.38978 + 2.46344i) q^{8} +(-0.772405 + 4.38052i) q^{9} +(1.94601 - 2.49260i) q^{10} +(0.876762 - 0.506199i) q^{11} +(-4.74497 + 2.69771i) q^{12} +(-3.83232 - 3.21570i) q^{13} +(-0.766853 - 4.43499i) q^{14} +(4.82259 + 3.73940i) q^{15} +(-3.74029 - 1.41782i) q^{16} +(5.77829 - 1.01887i) q^{17} +(-3.12720 - 5.45819i) q^{18} +(0.956248 + 4.25272i) q^{19} +(0.142839 + 4.46985i) q^{20} +(8.55360 - 1.50823i) q^{21} +(-0.494145 + 1.34377i) q^{22} +(5.67498 - 2.06552i) q^{23} +(2.71212 - 7.22698i) q^{24} +(4.55267 - 2.06716i) q^{25} +(7.07491 + 0.0234611i) q^{26} +(3.42257 - 1.97602i) q^{27} +(4.84870 + 4.12365i) q^{28} +(2.84576 + 0.501783i) q^{29} +(-8.62487 + 0.304251i) q^{30} +(0.591422 - 1.02437i) q^{31} +(5.34705 - 1.84636i) q^{32} +(-2.59633 - 0.944987i) q^{33} +(-5.35477 + 6.33876i) q^{34} +(2.17423 - 6.77612i) q^{35} +(8.33933 + 3.09806i) q^{36} -6.25121 q^{37} +(-4.88941 - 3.75415i) q^{38} +13.6531i q^{39} +(-4.20237 - 4.72653i) q^{40} +(4.05794 + 4.83606i) q^{41} +(-7.92667 + 9.38326i) q^{42} +(4.48584 + 1.63271i) q^{43} +(-0.679887 - 1.90724i) q^{44} +(-0.383606 - 9.93886i) q^{45} +(-4.29485 + 7.38226i) q^{46} +(-1.20896 + 6.85637i) q^{47} +(3.59727 + 10.3068i) q^{48} +(-1.56430 - 2.70945i) q^{49} +(-3.07414 + 6.36786i) q^{50} +(-12.2666 - 10.2929i) q^{51} +(-7.70713 + 6.38043i) q^{52} +(7.88929 - 2.87147i) q^{53} +(-1.92897 + 5.24561i) q^{54} +(-1.67675 + 1.52094i) q^{55} +(-9.00115 - 0.0895490i) q^{56} +(7.21335 - 9.45947i) q^{57} +(-3.54585 + 2.03155i) q^{58} +(-0.555649 - 3.15124i) q^{59} +(9.09423 - 8.13984i) q^{60} +(-8.86603 + 3.22697i) q^{61} +(0.285013 + 1.64833i) q^{62} +(-10.8443 - 9.09949i) q^{63} +(-4.13705 + 6.84725i) q^{64} +(9.89628 + 5.21544i) q^{65} +(3.67618 - 1.32423i) q^{66} +(5.98040 + 1.05451i) q^{67} +(0.0778272 - 11.7346i) q^{68} +(-14.2735 - 8.24083i) q^{69} +(3.77339 + 9.32993i) q^{70} +(1.39936 + 0.509326i) q^{71} +(-11.8646 + 4.18518i) q^{72} +(9.08468 + 10.8267i) q^{73} +(6.79106 - 5.66010i) q^{74} +(-12.3082 - 5.89164i) q^{75} +(8.71082 - 0.348725i) q^{76} +3.22200i q^{77} +(-12.3621 - 14.8322i) q^{78} +(4.30164 - 3.60950i) q^{79} +(8.84488 + 1.32972i) q^{80} +(2.40439 + 0.875127i) q^{81} +(-8.78714 - 1.57947i) q^{82} +(-4.37900 + 7.58465i) q^{83} +(0.115208 - 17.3707i) q^{84} +(-12.1465 + 4.95945i) q^{85} +(-6.35156 + 2.28795i) q^{86} +(-3.94311 - 6.82967i) q^{87} +(2.46549 + 1.45635i) q^{88} +(-3.27166 + 3.89901i) q^{89} +(9.41579 + 10.4498i) q^{90} +(14.9613 - 5.44546i) q^{91} +(-2.01845 - 11.9085i) q^{92} +(-3.17908 + 0.560558i) q^{93} +(-4.89467 - 8.54312i) q^{94} +(-4.10110 - 8.84200i) q^{95} +(-13.2401 - 7.93973i) q^{96} +(-2.56292 - 14.5350i) q^{97} +(4.15264 + 1.52705i) q^{98} +(1.54020 + 4.23167i) 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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08636 + 0.905441i −0.768172 + 0.640244i
\(3\) −1.75425 2.09063i −1.01281 1.20702i −0.978209 0.207624i \(-0.933427\pi\)
−0.0346051 0.999401i \(-0.511017\pi\)
\(4\) 0.360351 1.96727i 0.180176 0.983634i
\(5\) −2.18548 + 0.472930i −0.977378 + 0.211501i
\(6\) 3.79868 + 0.682806i 1.55081 + 0.278754i
\(7\) −1.59127 + 2.75617i −0.601445 + 1.04173i 0.391158 + 0.920324i \(0.372075\pi\)
−0.992603 + 0.121409i \(0.961259\pi\)
\(8\) 1.38978 + 2.46344i 0.491360 + 0.870957i
\(9\) −0.772405 + 4.38052i −0.257468 + 1.46017i
\(10\) 1.94601 2.49260i 0.615382 0.788229i
\(11\) 0.876762 0.506199i 0.264354 0.152625i −0.361965 0.932192i \(-0.617894\pi\)
0.626319 + 0.779567i \(0.284561\pi\)
\(12\) −4.74497 + 2.69771i −1.36976 + 0.778762i
\(13\) −3.83232 3.21570i −1.06289 0.891875i −0.0685050 0.997651i \(-0.521823\pi\)
−0.994390 + 0.105776i \(0.966267\pi\)
\(14\) −0.766853 4.43499i −0.204950 1.18530i
\(15\) 4.82259 + 3.73940i 1.24519 + 0.965508i
\(16\) −3.74029 1.41782i −0.935073 0.354454i
\(17\) 5.77829 1.01887i 1.40144 0.247112i 0.578706 0.815537i \(-0.303558\pi\)
0.822735 + 0.568425i \(0.192447\pi\)
\(18\) −3.12720 5.45819i −0.737088 1.28651i
\(19\) 0.956248 + 4.25272i 0.219378 + 0.975640i
\(20\) 0.142839 + 4.46985i 0.0319398 + 0.999490i
\(21\) 8.55360 1.50823i 1.86655 0.329123i
\(22\) −0.494145 + 1.34377i −0.105352 + 0.286493i
\(23\) 5.67498 2.06552i 1.18331 0.430691i 0.325943 0.945389i \(-0.394318\pi\)
0.857371 + 0.514698i \(0.172096\pi\)
\(24\) 2.71212 7.22698i 0.553610 1.47520i
\(25\) 4.55267 2.06716i 0.910535 0.413433i
\(26\) 7.07491 + 0.0234611i 1.38750 + 0.00460111i
\(27\) 3.42257 1.97602i 0.658674 0.380286i
\(28\) 4.84870 + 4.12365i 0.916318 + 0.779297i
\(29\) 2.84576 + 0.501783i 0.528444 + 0.0931789i 0.431503 0.902111i \(-0.357983\pi\)
0.0969402 + 0.995290i \(0.469094\pi\)
\(30\) −8.62487 + 0.304251i −1.57468 + 0.0555483i
\(31\) 0.591422 1.02437i 0.106223 0.183983i −0.808014 0.589163i \(-0.799458\pi\)
0.914237 + 0.405180i \(0.132791\pi\)
\(32\) 5.34705 1.84636i 0.945234 0.326393i
\(33\) −2.59633 0.944987i −0.451963 0.164501i
\(34\) −5.35477 + 6.33876i −0.918335 + 1.08709i
\(35\) 2.17423 6.77612i 0.367511 1.14537i
\(36\) 8.33933 + 3.09806i 1.38989 + 0.516343i
\(37\) −6.25121 −1.02769 −0.513846 0.857882i \(-0.671780\pi\)
−0.513846 + 0.857882i \(0.671780\pi\)
\(38\) −4.88941 3.75415i −0.793168 0.609003i
\(39\) 13.6531i 2.18624i
\(40\) −4.20237 4.72653i −0.664452 0.747331i
\(41\) 4.05794 + 4.83606i 0.633743 + 0.755266i 0.983368 0.181624i \(-0.0581354\pi\)
−0.349625 + 0.936890i \(0.613691\pi\)
\(42\) −7.92667 + 9.38326i −1.22311 + 1.44787i
\(43\) 4.48584 + 1.63271i 0.684084 + 0.248986i 0.660600 0.750738i \(-0.270302\pi\)
0.0234840 + 0.999724i \(0.492524\pi\)
\(44\) −0.679887 1.90724i −0.102497 0.287527i
\(45\) −0.383606 9.93886i −0.0571846 1.48160i
\(46\) −4.29485 + 7.38226i −0.633241 + 1.08845i
\(47\) −1.20896 + 6.85637i −0.176345 + 1.00010i 0.760234 + 0.649649i \(0.225084\pi\)
−0.936580 + 0.350455i \(0.886027\pi\)
\(48\) 3.59727 + 10.3068i 0.519220 + 1.48765i
\(49\) −1.56430 2.70945i −0.223471 0.387064i
\(50\) −3.07414 + 6.36786i −0.434749 + 0.900551i
\(51\) −12.2666 10.2929i −1.71767 1.44130i
\(52\) −7.70713 + 6.38043i −1.06879 + 0.884806i
\(53\) 7.88929 2.87147i 1.08368 0.394426i 0.262402 0.964959i \(-0.415485\pi\)
0.821275 + 0.570532i \(0.193263\pi\)
\(54\) −1.92897 + 5.24561i −0.262499 + 0.713837i
\(55\) −1.67675 + 1.52094i −0.226093 + 0.205083i
\(56\) −9.00115 0.0895490i −1.20283 0.0119665i
\(57\) 7.21335 9.45947i 0.955432 1.25294i
\(58\) −3.54585 + 2.03155i −0.465593 + 0.266755i
\(59\) −0.555649 3.15124i −0.0723393 0.410257i −0.999377 0.0352889i \(-0.988765\pi\)
0.927038 0.374968i \(-0.122346\pi\)
\(60\) 9.09423 8.13984i 1.17406 1.05085i
\(61\) −8.86603 + 3.22697i −1.13518 + 0.413171i −0.840170 0.542323i \(-0.817545\pi\)
−0.295009 + 0.955494i \(0.595323\pi\)
\(62\) 0.285013 + 1.64833i 0.0361967 + 0.209339i
\(63\) −10.8443 9.09949i −1.36626 1.14643i
\(64\) −4.13705 + 6.84725i −0.517131 + 0.855906i
\(65\) 9.89628 + 5.21544i 1.22748 + 0.646895i
\(66\) 3.67618 1.32423i 0.452506 0.163001i
\(67\) 5.98040 + 1.05451i 0.730623 + 0.128828i 0.526570 0.850132i \(-0.323478\pi\)
0.204052 + 0.978960i \(0.434589\pi\)
\(68\) 0.0778272 11.7346i 0.00943794 1.42303i
\(69\) −14.2735 8.24083i −1.71833 0.992080i
\(70\) 3.77339 + 9.32993i 0.451006 + 1.11514i
\(71\) 1.39936 + 0.509326i 0.166074 + 0.0604458i 0.423719 0.905794i \(-0.360724\pi\)
−0.257645 + 0.966240i \(0.582947\pi\)
\(72\) −11.8646 + 4.18518i −1.39826 + 0.493228i
\(73\) 9.08468 + 10.8267i 1.06328 + 1.26717i 0.962215 + 0.272289i \(0.0877808\pi\)
0.101066 + 0.994880i \(0.467775\pi\)
\(74\) 6.79106 5.66010i 0.789444 0.657974i
\(75\) −12.3082 5.89164i −1.42123 0.680308i
\(76\) 8.71082 0.348725i 0.999200 0.0400015i
\(77\) 3.22200i 0.367181i
\(78\) −12.3621 14.8322i −1.39973 1.67941i
\(79\) 4.30164 3.60950i 0.483972 0.406101i −0.367888 0.929870i \(-0.619919\pi\)
0.851860 + 0.523769i \(0.175475\pi\)
\(80\) 8.84488 + 1.32972i 0.988887 + 0.148667i
\(81\) 2.40439 + 0.875127i 0.267154 + 0.0972363i
\(82\) −8.78714 1.57947i −0.970378 0.174424i
\(83\) −4.37900 + 7.58465i −0.480658 + 0.832523i −0.999754 0.0221925i \(-0.992935\pi\)
0.519096 + 0.854716i \(0.326269\pi\)
\(84\) 0.115208 17.3707i 0.0125702 1.89530i
\(85\) −12.1465 + 4.95945i −1.31747 + 0.537928i
\(86\) −6.35156 + 2.28795i −0.684906 + 0.246716i
\(87\) −3.94311 6.82967i −0.422746 0.732217i
\(88\) 2.46549 + 1.45635i 0.262822 + 0.155247i
\(89\) −3.27166 + 3.89901i −0.346795 + 0.413294i −0.911043 0.412311i \(-0.864722\pi\)
0.564248 + 0.825605i \(0.309166\pi\)
\(90\) 9.41579 + 10.4498i 0.992511 + 1.10151i
\(91\) 14.9613 5.44546i 1.56837 0.570839i
\(92\) −2.01845 11.9085i −0.210438 1.24155i
\(93\) −3.17908 + 0.560558i −0.329655 + 0.0581271i
\(94\) −4.89467 8.54312i −0.504847 0.881155i
\(95\) −4.10110 8.84200i −0.420764 0.907170i
\(96\) −13.2401 7.93973i −1.35131 0.810345i
\(97\) −2.56292 14.5350i −0.260225 1.47581i −0.782296 0.622907i \(-0.785951\pi\)
0.522071 0.852902i \(-0.325160\pi\)
\(98\) 4.15264 + 1.52705i 0.419480 + 0.154255i
\(99\) 1.54020 + 4.23167i 0.154796 + 0.425299i
\(100\) −2.42610 9.70124i −0.242610 0.970124i
\(101\) 3.64320 + 3.05701i 0.362512 + 0.304183i 0.805791 0.592200i \(-0.201741\pi\)
−0.443279 + 0.896384i \(0.646185\pi\)
\(102\) 22.6456 + 0.0750951i 2.24224 + 0.00743552i
\(103\) −13.2887 + 7.67222i −1.30937 + 0.755967i −0.981991 0.188926i \(-0.939499\pi\)
−0.327381 + 0.944892i \(0.606166\pi\)
\(104\) 2.59561 13.9098i 0.254520 1.36397i
\(105\) −17.9805 + 7.34147i −1.75471 + 0.716454i
\(106\) −5.97065 + 10.2627i −0.579921 + 0.996805i
\(107\) 16.3092 + 9.41614i 1.57667 + 0.910292i 0.995319 + 0.0966407i \(0.0308098\pi\)
0.581353 + 0.813651i \(0.302524\pi\)
\(108\) −2.65404 7.44518i −0.255385 0.716413i
\(109\) 2.57700 7.08026i 0.246832 0.678166i −0.752966 0.658060i \(-0.771377\pi\)
0.999798 0.0201062i \(-0.00640043\pi\)
\(110\) 0.444436 3.17048i 0.0423753 0.302294i
\(111\) 10.9662 + 13.0690i 1.04086 + 1.24045i
\(112\) 9.85957 8.05274i 0.931641 0.760912i
\(113\) −5.34794 −0.503092 −0.251546 0.967845i \(-0.580939\pi\)
−0.251546 + 0.967845i \(0.580939\pi\)
\(114\) 0.728703 + 16.8076i 0.0682493 + 1.57418i
\(115\) −11.4257 + 7.19803i −1.06545 + 0.671220i
\(116\) 2.01262 5.41755i 0.186867 0.503007i
\(117\) 17.0466 14.3038i 1.57595 1.32238i
\(118\) 3.45690 + 2.92027i 0.318233 + 0.268833i
\(119\) −6.38667 + 17.5472i −0.585465 + 1.60855i
\(120\) −2.50944 + 17.0771i −0.229080 + 1.55892i
\(121\) −4.98753 + 8.63865i −0.453411 + 0.785332i
\(122\) 6.70986 11.5333i 0.607482 1.04418i
\(123\) 2.99179 16.9673i 0.269760 1.52989i
\(124\) −1.80210 1.53262i −0.161833 0.137633i
\(125\) −8.97217 + 6.67085i −0.802495 + 0.596659i
\(126\) 20.0199 + 0.0663881i 1.78351 + 0.00591433i
\(127\) 5.15197 6.13988i 0.457163 0.544826i −0.487390 0.873185i \(-0.662051\pi\)
0.944553 + 0.328358i \(0.106495\pi\)
\(128\) −1.70547 11.1844i −0.150743 0.988573i
\(129\) −4.45587 12.2424i −0.392317 1.07788i
\(130\) −15.4732 + 3.29466i −1.35709 + 0.288961i
\(131\) 10.1411 1.78815i 0.886033 0.156232i 0.287931 0.957651i \(-0.407033\pi\)
0.598103 + 0.801420i \(0.295922\pi\)
\(132\) −2.79463 + 4.76715i −0.243242 + 0.414927i
\(133\) −13.2428 4.13165i −1.14830 0.358260i
\(134\) −7.45166 + 4.26933i −0.643725 + 0.368814i
\(135\) −6.54545 + 5.93720i −0.563343 + 0.510993i
\(136\) 10.5404 + 12.8185i 0.903836 + 1.09917i
\(137\) −2.05984 5.65936i −0.175984 0.483512i 0.820070 0.572264i \(-0.193935\pi\)
−0.996054 + 0.0887514i \(0.971712\pi\)
\(138\) 22.9678 3.97135i 1.95515 0.338064i
\(139\) 10.4465 12.4496i 0.886060 1.05597i −0.112000 0.993708i \(-0.535726\pi\)
0.998060 0.0622569i \(-0.0198298\pi\)
\(140\) −12.5470 6.71907i −1.06041 0.567865i
\(141\) 16.4549 9.50026i 1.38575 0.800066i
\(142\) −1.98137 + 0.713729i −0.166273 + 0.0598948i
\(143\) −4.98782 0.879487i −0.417102 0.0735464i
\(144\) 9.09980 15.2893i 0.758317 1.27411i
\(145\) −6.45666 + 0.249205i −0.536196 + 0.0206954i
\(146\) −19.6722 3.53604i −1.62808 0.292644i
\(147\) −2.92028 + 8.02340i −0.240861 + 0.661759i
\(148\) −2.25263 + 12.2978i −0.185165 + 1.01087i
\(149\) −5.67929 + 4.76549i −0.465266 + 0.390404i −0.845064 0.534665i \(-0.820438\pi\)
0.379798 + 0.925069i \(0.375993\pi\)
\(150\) 18.7056 4.74390i 1.52731 0.387338i
\(151\) 1.70219 0.138522 0.0692612 0.997599i \(-0.477936\pi\)
0.0692612 + 0.997599i \(0.477936\pi\)
\(152\) −9.14733 + 8.26598i −0.741946 + 0.670459i
\(153\) 26.0989i 2.10997i
\(154\) −2.91734 3.50025i −0.235086 0.282058i
\(155\) −0.808086 + 2.51845i −0.0649070 + 0.202287i
\(156\) 26.8593 + 4.91991i 2.15046 + 0.393908i
\(157\) −2.94835 + 8.10052i −0.235304 + 0.646492i 0.764694 + 0.644394i \(0.222890\pi\)
−0.999998 + 0.00209846i \(0.999332\pi\)
\(158\) −1.40493 + 7.81609i −0.111770 + 0.621815i
\(159\) −19.8429 11.4563i −1.57365 0.908545i
\(160\) −10.8127 + 6.56397i −0.854818 + 0.518927i
\(161\) −3.33752 + 18.9280i −0.263033 + 1.49173i
\(162\) −3.40441 + 1.22633i −0.267475 + 0.0963498i
\(163\) 4.92357 + 8.52788i 0.385644 + 0.667955i 0.991858 0.127346i \(-0.0406460\pi\)
−0.606214 + 0.795301i \(0.707313\pi\)
\(164\) 10.9761 6.24037i 0.857090 0.487291i
\(165\) 6.12115 + 0.837369i 0.476531 + 0.0651891i
\(166\) −2.11029 12.2046i −0.163790 0.947259i
\(167\) −4.79605 13.1770i −0.371129 1.01967i −0.974926 0.222531i \(-0.928568\pi\)
0.603796 0.797139i \(-0.293654\pi\)
\(168\) 15.6030 + 18.9752i 1.20380 + 1.46397i
\(169\) 2.08854 + 11.8447i 0.160657 + 0.911131i
\(170\) 8.70497 16.3857i 0.667641 1.25672i
\(171\) −19.3677 + 0.904052i −1.48109 + 0.0691346i
\(172\) 4.82846 8.23650i 0.368167 0.628027i
\(173\) 0.862887 + 4.89368i 0.0656041 + 0.372059i 0.999880 + 0.0155078i \(0.00493648\pi\)
−0.934276 + 0.356552i \(0.883952\pi\)
\(174\) 10.4675 + 3.84921i 0.793539 + 0.291808i
\(175\) −1.54710 + 15.8373i −0.116950 + 1.19719i
\(176\) −3.99705 + 0.650245i −0.301289 + 0.0490140i
\(177\) −5.61333 + 6.68971i −0.421924 + 0.502829i
\(178\) 0.0238694 7.19802i 0.00178909 0.539514i
\(179\) 5.78145 + 10.0138i 0.432126 + 0.748464i 0.997056 0.0766749i \(-0.0244304\pi\)
−0.564930 + 0.825139i \(0.691097\pi\)
\(180\) −19.6906 2.82683i −1.46765 0.210699i
\(181\) 14.5003 + 2.55679i 1.07780 + 0.190044i 0.684240 0.729257i \(-0.260134\pi\)
0.393555 + 0.919301i \(0.371245\pi\)
\(182\) −11.3228 + 19.4623i −0.839300 + 1.44264i
\(183\) 22.2996 + 12.8747i 1.64843 + 0.951723i
\(184\) 12.9752 + 11.1093i 0.956547 + 0.818991i
\(185\) 13.6619 2.95639i 1.00444 0.217358i
\(186\) 2.94607 3.48744i 0.216016 0.255711i
\(187\) 4.55044 3.81827i 0.332761 0.279219i
\(188\) 13.0527 + 4.84906i 0.951963 + 0.353654i
\(189\) 12.5776i 0.914883i
\(190\) 12.4612 + 5.89228i 0.904029 + 0.427471i
\(191\) 16.3660i 1.18420i −0.805865 0.592100i \(-0.798299\pi\)
0.805865 0.592100i \(-0.201701\pi\)
\(192\) 21.5724 3.36273i 1.55686 0.242684i
\(193\) −5.14586 + 4.31789i −0.370407 + 0.310809i −0.808923 0.587915i \(-0.799949\pi\)
0.438515 + 0.898724i \(0.355504\pi\)
\(194\) 15.9449 + 13.4697i 1.14478 + 0.967068i
\(195\) −6.45696 29.8386i −0.462393 2.13679i
\(196\) −5.89391 + 2.10105i −0.420993 + 0.150075i
\(197\) 15.3393 + 8.85613i 1.09288 + 0.630973i 0.934341 0.356380i \(-0.115989\pi\)
0.158536 + 0.987353i \(0.449322\pi\)
\(198\) −5.50474 3.20255i −0.391205 0.227595i
\(199\) −12.1491 2.14222i −0.861227 0.151858i −0.274445 0.961603i \(-0.588494\pi\)
−0.586782 + 0.809745i \(0.699605\pi\)
\(200\) 11.4195 + 8.34233i 0.807482 + 0.589892i
\(201\) −8.28651 14.3527i −0.584486 1.01236i
\(202\) −6.72576 0.0223033i −0.473223 0.00156926i
\(203\) −5.91137 + 7.04490i −0.414897 + 0.494455i
\(204\) −24.6692 + 20.4227i −1.72719 + 1.42987i
\(205\) −11.1557 8.65000i −0.779146 0.604143i
\(206\) 7.48953 20.3669i 0.521820 1.41903i
\(207\) 4.66469 + 26.4548i 0.324219 + 1.83874i
\(208\) 9.77474 + 17.4612i 0.677756 + 1.21072i
\(209\) 2.99112 + 3.24457i 0.206900 + 0.224431i
\(210\) 12.8860 24.2557i 0.889216 1.67380i
\(211\) 1.15829 + 6.56899i 0.0797400 + 0.452228i 0.998368 + 0.0571048i \(0.0181869\pi\)
−0.918628 + 0.395123i \(0.870702\pi\)
\(212\) −2.80603 16.5551i −0.192719 1.13701i
\(213\) −1.39001 3.81902i −0.0952420 0.261675i
\(214\) −26.2434 + 4.53775i −1.79396 + 0.310194i
\(215\) −10.5759 1.44677i −0.721269 0.0986692i
\(216\) 9.62441 + 5.68506i 0.654858 + 0.386819i
\(217\) 1.88223 + 3.26011i 0.127774 + 0.221311i
\(218\) 3.61121 + 10.0250i 0.244582 + 0.678981i
\(219\) 6.69785 37.9854i 0.452598 2.56681i
\(220\) 2.38787 + 3.84669i 0.160990 + 0.259344i
\(221\) −25.4206 14.6766i −1.70998 0.987256i
\(222\) −23.7464 4.26836i −1.59375 0.286474i
\(223\) −1.77574 + 4.87879i −0.118912 + 0.326708i −0.984841 0.173459i \(-0.944506\pi\)
0.865929 + 0.500167i \(0.166728\pi\)
\(224\) −3.41975 + 17.6754i −0.228491 + 1.18099i
\(225\) 5.53875 + 21.5398i 0.369250 + 1.43599i
\(226\) 5.80978 4.84224i 0.386461 0.322101i
\(227\) 5.16817i 0.343023i 0.985182 + 0.171512i \(0.0548651\pi\)
−0.985182 + 0.171512i \(0.945135\pi\)
\(228\) −16.0100 17.5993i −1.06029 1.16554i
\(229\) 14.2247 0.939997 0.469998 0.882667i \(-0.344255\pi\)
0.469998 + 0.882667i \(0.344255\pi\)
\(230\) 5.89503 18.1650i 0.388707 1.19776i
\(231\) 6.73601 5.65218i 0.443197 0.371886i
\(232\) 2.71885 + 7.70771i 0.178501 + 0.506036i
\(233\) −1.56141 + 4.28993i −0.102291 + 0.281042i −0.980272 0.197653i \(-0.936668\pi\)
0.877981 + 0.478696i \(0.158890\pi\)
\(234\) −5.56746 + 30.9737i −0.363956 + 2.02481i
\(235\) −0.600417 15.5562i −0.0391669 1.01478i
\(236\) −6.39957 0.0424438i −0.416576 0.00276285i
\(237\) −15.0922 2.66117i −0.980347 0.172862i
\(238\) −8.94977 24.8453i −0.580127 1.61048i
\(239\) 5.83611 3.36948i 0.377506 0.217953i −0.299226 0.954182i \(-0.596729\pi\)
0.676733 + 0.736229i \(0.263395\pi\)
\(240\) −12.7361 20.8240i −0.822114 1.34418i
\(241\) 4.41428 5.26074i 0.284349 0.338874i −0.604897 0.796304i \(-0.706786\pi\)
0.889246 + 0.457430i \(0.151230\pi\)
\(242\) −2.40355 13.9006i −0.154506 0.893563i
\(243\) −6.44336 17.7030i −0.413342 1.13565i
\(244\) 3.15343 + 18.6047i 0.201878 + 1.19104i
\(245\) 4.70013 + 5.18165i 0.300280 + 0.331043i
\(246\) 12.1127 + 21.1414i 0.772278 + 1.34793i
\(247\) 10.0108 19.3728i 0.636972 1.23266i
\(248\) 3.34542 + 0.0332823i 0.212435 + 0.00211343i
\(249\) 23.5385 4.15048i 1.49169 0.263026i
\(250\) 3.70693 15.3707i 0.234447 0.972129i
\(251\) −6.81952 18.7365i −0.430444 1.18264i −0.945541 0.325504i \(-0.894466\pi\)
0.515096 0.857132i \(-0.327756\pi\)
\(252\) −21.8089 + 18.0547i −1.37383 + 1.13734i
\(253\) 3.93004 4.68364i 0.247080 0.294458i
\(254\) −0.0375878 + 11.3349i −0.00235847 + 0.711216i
\(255\) 31.6763 + 16.6937i 1.98365 + 1.04540i
\(256\) 11.9796 + 10.6061i 0.748725 + 0.662881i
\(257\) 2.71289 15.3856i 0.169225 0.959725i −0.775375 0.631502i \(-0.782439\pi\)
0.944600 0.328224i \(-0.106450\pi\)
\(258\) 15.9254 + 9.26511i 0.991475 + 0.576821i
\(259\) 9.94738 17.2294i 0.618100 1.07058i
\(260\) 13.8263 17.5893i 0.857471 1.09084i
\(261\) −4.39615 + 12.0783i −0.272115 + 0.747629i
\(262\) −9.39783 + 11.1248i −0.580600 + 0.687290i
\(263\) 3.34770 2.80906i 0.206428 0.173214i −0.533712 0.845666i \(-0.679203\pi\)
0.740140 + 0.672452i \(0.234759\pi\)
\(264\) −1.28040 7.70921i −0.0788032 0.474469i
\(265\) −15.8839 + 10.0066i −0.975740 + 0.614702i
\(266\) 18.1274 7.50216i 1.11147 0.459987i
\(267\) 13.8907 0.850095
\(268\) 4.22955 11.3851i 0.258361 0.695454i
\(269\) −12.9509 15.4343i −0.789631 0.941046i 0.209694 0.977767i \(-0.432753\pi\)
−0.999326 + 0.0367211i \(0.988309\pi\)
\(270\) 1.73492 12.3765i 0.105584 0.753207i
\(271\) −5.37440 + 14.7660i −0.326472 + 0.896973i 0.662526 + 0.749039i \(0.269485\pi\)
−0.988997 + 0.147934i \(0.952738\pi\)
\(272\) −23.0571 4.38169i −1.39804 0.265679i
\(273\) −37.6302 21.7258i −2.27748 1.31490i
\(274\) 7.36195 + 4.28304i 0.444752 + 0.258748i
\(275\) 2.94522 4.11697i 0.177603 0.248263i
\(276\) −21.3554 + 25.1103i −1.28545 + 1.51146i
\(277\) 17.1663 9.91100i 1.03143 0.595494i 0.114033 0.993477i \(-0.463623\pi\)
0.917393 + 0.397983i \(0.130290\pi\)
\(278\) −0.0762156 + 22.9835i −0.00457111 + 1.37846i
\(279\) 4.03047 + 3.38197i 0.241298 + 0.202473i
\(280\) 19.7142 4.06121i 1.17815 0.242704i
\(281\) 0.694607 + 1.90842i 0.0414368 + 0.113847i 0.958685 0.284469i \(-0.0918172\pi\)
−0.917249 + 0.398315i \(0.869595\pi\)
\(282\) −9.27403 + 25.2197i −0.552260 + 1.50181i
\(283\) −0.898453 5.09538i −0.0534075 0.302889i 0.946390 0.323027i \(-0.104701\pi\)
−0.999797 + 0.0201382i \(0.993589\pi\)
\(284\) 1.50624 2.56938i 0.0893790 0.152465i
\(285\) −11.2910 + 24.0849i −0.668821 + 1.42667i
\(286\) 6.21489 3.56074i 0.367494 0.210551i
\(287\) −19.7863 + 3.48885i −1.16795 + 0.205940i
\(288\) 3.95793 + 24.8490i 0.233224 + 1.46424i
\(289\) 16.3757 5.96029i 0.963279 0.350605i
\(290\) 6.78861 6.11685i 0.398641 0.359194i
\(291\) −25.8914 + 30.8561i −1.51778 + 1.80882i
\(292\) 24.5727 13.9706i 1.43801 0.817567i
\(293\) 13.3016 + 23.0390i 0.777085 + 1.34595i 0.933615 + 0.358278i \(0.116636\pi\)
−0.156530 + 0.987673i \(0.550031\pi\)
\(294\) −4.09225 11.3604i −0.238665 0.662554i
\(295\) 2.70468 + 6.62420i 0.157473 + 0.385676i
\(296\) −8.68778 15.3995i −0.504967 0.895076i
\(297\) 2.00052 3.46500i 0.116082 0.201060i
\(298\) 1.85488 10.3193i 0.107450 0.597781i
\(299\) −28.3904 10.3333i −1.64186 0.597589i
\(300\) −16.0257 + 22.0904i −0.925244 + 1.27539i
\(301\) −11.6382 + 9.76563i −0.670816 + 0.562881i
\(302\) −1.84919 + 1.54124i −0.106409 + 0.0886882i
\(303\) 12.9793i 0.745642i
\(304\) 2.45292 17.2622i 0.140685 0.990054i
\(305\) 17.8504 11.2455i 1.02211 0.643916i
\(306\) −23.6310 28.3528i −1.35090 1.62082i
\(307\) −7.12390 8.48994i −0.406583 0.484546i 0.523433 0.852067i \(-0.324651\pi\)
−0.930015 + 0.367521i \(0.880207\pi\)
\(308\) 6.33855 + 1.16105i 0.361172 + 0.0661572i
\(309\) 39.3514 + 14.3227i 2.23862 + 0.814791i
\(310\) −1.40244 3.46762i −0.0796532 0.196947i
\(311\) −1.45863 0.842142i −0.0827115 0.0477535i 0.458074 0.888914i \(-0.348540\pi\)
−0.540785 + 0.841161i \(0.681873\pi\)
\(312\) −33.6335 + 18.9747i −1.90412 + 1.07423i
\(313\) 30.1296 + 5.31267i 1.70303 + 0.300290i 0.938751 0.344597i \(-0.111985\pi\)
0.764278 + 0.644887i \(0.223096\pi\)
\(314\) −4.13158 11.4696i −0.233159 0.647269i
\(315\) 28.0036 + 14.7582i 1.57782 + 0.831528i
\(316\) −5.55076 9.76316i −0.312254 0.549221i
\(317\) 14.9318 + 12.5293i 0.838652 + 0.703713i 0.957260 0.289228i \(-0.0933987\pi\)
−0.118608 + 0.992941i \(0.537843\pi\)
\(318\) 31.9295 5.52093i 1.79052 0.309598i
\(319\) 2.74905 1.00057i 0.153917 0.0560214i
\(320\) 5.80317 16.9211i 0.324407 0.945918i
\(321\) −8.92474 50.6147i −0.498131 2.82504i
\(322\) −13.5124 23.5845i −0.753019 1.31431i
\(323\) 9.85844 + 23.5991i 0.548538 + 1.31309i
\(324\) 2.58803 4.41473i 0.143780 0.245263i
\(325\) −24.0947 6.71800i −1.33653 0.372648i
\(326\) −13.0703 4.80633i −0.723895 0.266198i
\(327\) −19.3229 + 7.03296i −1.06856 + 0.388923i
\(328\) −6.27371 + 16.7175i −0.346408 + 0.923070i
\(329\) −16.9735 14.2424i −0.935779 0.785212i
\(330\) −7.40795 + 4.63266i −0.407794 + 0.255019i
\(331\) 16.1667 + 28.0016i 0.888605 + 1.53911i 0.841525 + 0.540217i \(0.181658\pi\)
0.0470793 + 0.998891i \(0.485009\pi\)
\(332\) 13.3431 + 11.3478i 0.732296 + 0.622792i
\(333\) 4.82846 27.3836i 0.264598 1.50061i
\(334\) 17.1413 + 9.97245i 0.937928 + 0.545668i
\(335\) −13.5688 + 0.523709i −0.741342 + 0.0286133i
\(336\) −34.1314 6.48621i −1.86202 0.353852i
\(337\) −18.7486 6.82393i −1.02130 0.371723i −0.223538 0.974695i \(-0.571761\pi\)
−0.797762 + 0.602972i \(0.793983\pi\)
\(338\) −12.9936 10.9765i −0.706758 0.597045i
\(339\) 9.38159 + 11.1805i 0.509538 + 0.607244i
\(340\) 5.37956 + 25.6826i 0.291748 + 1.39283i
\(341\) 1.19751i 0.0648487i
\(342\) 20.2217 18.5185i 1.09347 1.00136i
\(343\) −12.3209 −0.665267
\(344\) 2.21223 + 13.3197i 0.119275 + 0.718149i
\(345\) 35.0919 + 11.2598i 1.88929 + 0.606208i
\(346\) −5.36834 4.53500i −0.288604 0.243803i
\(347\) −28.3000 10.3004i −1.51923 0.552953i −0.558271 0.829659i \(-0.688535\pi\)
−0.960955 + 0.276706i \(0.910757\pi\)
\(348\) −14.8567 + 5.29608i −0.796403 + 0.283900i
\(349\) 9.33083 16.1615i 0.499468 0.865103i −0.500532 0.865718i \(-0.666862\pi\)
1.00000 0.000614500i \(0.000195602\pi\)
\(350\) −12.6591 18.6059i −0.676656 0.994525i
\(351\) −19.4707 3.43321i −1.03927 0.183251i
\(352\) 3.75347 4.32549i 0.200060 0.230549i
\(353\) 12.6924 7.32797i 0.675549 0.390029i −0.122627 0.992453i \(-0.539132\pi\)
0.798176 + 0.602424i \(0.205798\pi\)
\(354\) 0.0409538 12.3500i 0.00217667 0.656393i
\(355\) −3.29916 0.451322i −0.175101 0.0239537i
\(356\) 6.49145 + 7.84125i 0.344046 + 0.415585i
\(357\) 47.8885 17.4300i 2.53453 0.922492i
\(358\) −15.3476 5.64378i −0.811146 0.298283i
\(359\) 11.5786 2.04163i 0.611097 0.107753i 0.140470 0.990085i \(-0.455139\pi\)
0.470627 + 0.882332i \(0.344028\pi\)
\(360\) 23.9506 14.7578i 1.26231 0.777803i
\(361\) −17.1712 + 8.13330i −0.903746 + 0.428069i
\(362\) −18.0675 + 10.3515i −0.949607 + 0.544065i
\(363\) 26.8095 4.72725i 1.40714 0.248116i
\(364\) −5.32136 31.3951i −0.278915 1.64555i
\(365\) −24.9747 19.3651i −1.30723 1.01362i
\(366\) −35.8826 + 6.20446i −1.87561 + 0.324312i
\(367\) 21.6629 + 18.1774i 1.13080 + 0.948851i 0.999099 0.0424388i \(-0.0135128\pi\)
0.131698 + 0.991290i \(0.457957\pi\)
\(368\) −24.1546 0.320415i −1.25915 0.0167028i
\(369\) −24.3188 + 14.0405i −1.26599 + 0.730919i
\(370\) −12.1649 + 15.5818i −0.632423 + 0.810057i
\(371\) −4.63978 + 26.3135i −0.240885 + 1.36613i
\(372\) −0.0428188 + 6.45611i −0.00222005 + 0.334734i
\(373\) −0.535283 + 0.927138i −0.0277159 + 0.0480054i −0.879551 0.475805i \(-0.842157\pi\)
0.851835 + 0.523811i \(0.175490\pi\)
\(374\) −1.48619 + 8.26816i −0.0768489 + 0.427537i
\(375\) 29.6856 + 7.05516i 1.53296 + 0.364327i
\(376\) −18.5704 + 6.55061i −0.957696 + 0.337822i
\(377\) −9.29227 11.0741i −0.478576 0.570345i
\(378\) −11.3882 13.6637i −0.585748 0.702787i
\(379\) −34.8984 −1.79261 −0.896305 0.443438i \(-0.853759\pi\)
−0.896305 + 0.443438i \(0.853759\pi\)
\(380\) −18.8724 + 4.88175i −0.968135 + 0.250428i
\(381\) −21.8740 −1.12064
\(382\) 14.8184 + 17.7793i 0.758176 + 0.909668i
\(383\) 15.6669 + 18.6711i 0.800543 + 0.954050i 0.999664 0.0259253i \(-0.00825321\pi\)
−0.199121 + 0.979975i \(0.563809\pi\)
\(384\) −20.3907 + 23.1857i −1.04056 + 1.18319i
\(385\) −1.52378 7.04163i −0.0776592 0.358875i
\(386\) 1.68066 9.35005i 0.0855431 0.475905i
\(387\) −10.6170 + 18.3892i −0.539693 + 0.934776i
\(388\) −29.5179 0.195771i −1.49854 0.00993877i
\(389\) −4.84237 + 27.4624i −0.245518 + 1.39240i 0.573770 + 0.819017i \(0.305480\pi\)
−0.819287 + 0.573383i \(0.805631\pi\)
\(390\) 34.0317 + 26.5690i 1.72326 + 1.34537i
\(391\) 30.6872 17.7172i 1.55192 0.895999i
\(392\) 4.50053 7.61908i 0.227311 0.384822i
\(393\) −21.5284 18.0644i −1.08596 0.911231i
\(394\) −24.6827 + 4.26787i −1.24349 + 0.215012i
\(395\) −7.69411 + 9.92288i −0.387133 + 0.499274i
\(396\) 8.87984 1.50510i 0.446229 0.0756342i
\(397\) −25.3341 + 4.46708i −1.27148 + 0.224196i −0.768359 0.640019i \(-0.778926\pi\)
−0.503122 + 0.864216i \(0.667815\pi\)
\(398\) 15.1379 8.67309i 0.758796 0.434743i
\(399\) 14.5934 + 34.9338i 0.730586 + 1.74888i
\(400\) −19.9592 + 1.27694i −0.997960 + 0.0638470i
\(401\) 14.0961 2.48552i 0.703924 0.124121i 0.189782 0.981826i \(-0.439222\pi\)
0.514142 + 0.857705i \(0.328111\pi\)
\(402\) 21.9976 + 8.08919i 1.09714 + 0.403452i
\(403\) −5.56060 + 2.02389i −0.276993 + 0.100817i
\(404\) 7.32678 6.06555i 0.364521 0.301773i
\(405\) −5.66863 0.775465i −0.281676 0.0385332i
\(406\) 0.0431283 13.0057i 0.00214042 0.645462i
\(407\) −5.48082 + 3.16436i −0.271674 + 0.156851i
\(408\) 8.30810 44.5229i 0.411312 2.20421i
\(409\) −19.5699 3.45070i −0.967670 0.170626i −0.332589 0.943072i \(-0.607922\pi\)
−0.635081 + 0.772446i \(0.719033\pi\)
\(410\) 19.9511 0.703796i 0.985316 0.0347580i
\(411\) −8.21816 + 14.2343i −0.405372 + 0.702125i
\(412\) 10.3047 + 28.9071i 0.507678 + 1.42415i
\(413\) 9.56953 + 3.48303i 0.470886 + 0.171388i
\(414\) −29.0208 24.5158i −1.42629 1.20489i
\(415\) 5.98322 18.6471i 0.293705 0.915349i
\(416\) −26.4290 10.1187i −1.29579 0.496109i
\(417\) −44.3533 −2.17199
\(418\) −6.18720 0.816480i −0.302626 0.0399353i
\(419\) 12.1981i 0.595914i −0.954579 0.297957i \(-0.903695\pi\)
0.954579 0.297957i \(-0.0963053\pi\)
\(420\) 7.96336 + 38.0179i 0.388572 + 1.85508i
\(421\) −9.20196 10.9665i −0.448476 0.534473i 0.493682 0.869643i \(-0.335651\pi\)
−0.942158 + 0.335170i \(0.891206\pi\)
\(422\) −7.20615 6.08751i −0.350790 0.296336i
\(423\) −29.1007 10.5918i −1.41492 0.514990i
\(424\) 18.0380 + 15.4441i 0.876004 + 0.750030i
\(425\) 24.2005 16.5832i 1.17390 0.804405i
\(426\) 4.96795 + 2.89026i 0.240698 + 0.140033i
\(427\) 5.21421 29.5712i 0.252333 1.43105i
\(428\) 24.4011 28.6915i 1.17947 1.38686i
\(429\) 6.91118 + 11.9705i 0.333675 + 0.577942i
\(430\) 12.7992 8.00413i 0.617231 0.385993i
\(431\) −2.80631 2.35477i −0.135175 0.113425i 0.572693 0.819770i \(-0.305899\pi\)
−0.707868 + 0.706344i \(0.750343\pi\)
\(432\) −15.6031 + 2.53833i −0.750702 + 0.122125i
\(433\) −1.22220 + 0.444844i −0.0587351 + 0.0213778i −0.371221 0.928545i \(-0.621061\pi\)
0.312486 + 0.949923i \(0.398838\pi\)
\(434\) −4.99662 1.83741i −0.239845 0.0881984i
\(435\) 11.8476 + 13.0613i 0.568047 + 0.626242i
\(436\) −13.0002 7.62104i −0.622594 0.364982i
\(437\) 14.2108 + 22.1589i 0.679793 + 1.06000i
\(438\) 27.1173 + 47.3302i 1.29571 + 2.26153i
\(439\) 1.03416 + 5.86503i 0.0493579 + 0.279922i 0.999490 0.0319243i \(-0.0101636\pi\)
−0.950132 + 0.311847i \(0.899052\pi\)
\(440\) −6.07704 2.01681i −0.289712 0.0961478i
\(441\) 13.0771 4.75967i 0.622718 0.226651i
\(442\) 40.9048 7.07283i 1.94564 0.336420i
\(443\) −18.5732 15.5848i −0.882440 0.740455i 0.0842389 0.996446i \(-0.473154\pi\)
−0.966679 + 0.255990i \(0.917599\pi\)
\(444\) 29.6618 16.8640i 1.40769 0.800328i
\(445\) 5.30619 10.0685i 0.251538 0.477292i
\(446\) −2.48838 6.90795i −0.117828 0.327101i
\(447\) 19.9257 + 3.51345i 0.942455 + 0.166180i
\(448\) −12.2890 22.2982i −0.580600 1.05349i
\(449\) 13.8669 + 8.00608i 0.654421 + 0.377830i 0.790148 0.612916i \(-0.210004\pi\)
−0.135727 + 0.990746i \(0.543337\pi\)
\(450\) −25.5201 18.3849i −1.20303 0.866674i
\(451\) 6.00585 + 2.18595i 0.282805 + 0.102932i
\(452\) −1.92714 + 10.5208i −0.0906449 + 0.494858i
\(453\) −2.98606 3.55865i −0.140298 0.167200i
\(454\) −4.67947 5.61449i −0.219619 0.263501i
\(455\) −30.1223 + 18.9766i −1.41215 + 0.889637i
\(456\) 33.3277 + 4.62310i 1.56071 + 0.216497i
\(457\) 34.6973i 1.62307i −0.584303 0.811535i \(-0.698632\pi\)
0.584303 0.811535i \(-0.301368\pi\)
\(458\) −15.4532 + 12.8797i −0.722079 + 0.601827i
\(459\) 17.7633 14.9052i 0.829119 0.695714i
\(460\) 10.0432 + 25.0713i 0.468266 + 1.16895i
\(461\) 29.0943 + 10.5895i 1.35506 + 0.493201i 0.914523 0.404534i \(-0.132566\pi\)
0.440536 + 0.897735i \(0.354789\pi\)
\(462\) −2.20000 + 12.2394i −0.102353 + 0.569427i
\(463\) −13.6653 + 23.6690i −0.635079 + 1.09999i 0.351419 + 0.936218i \(0.385699\pi\)
−0.986498 + 0.163771i \(0.947634\pi\)
\(464\) −9.93252 5.91158i −0.461106 0.274438i
\(465\) 6.68273 2.72857i 0.309904 0.126535i
\(466\) −2.18803 6.07416i −0.101359 0.281380i
\(467\) 12.3956 + 21.4697i 0.573598 + 0.993502i 0.996192 + 0.0871824i \(0.0277863\pi\)
−0.422594 + 0.906319i \(0.638880\pi\)
\(468\) −21.9966 38.6895i −1.01679 1.78842i
\(469\) −12.4229 + 14.8050i −0.573634 + 0.683630i
\(470\) 14.7375 + 16.3560i 0.679791 + 0.754446i
\(471\) 22.1073 8.04640i 1.01865 0.370759i
\(472\) 6.99066 5.74833i 0.321771 0.264588i
\(473\) 4.75949 0.839227i 0.218842 0.0385877i
\(474\) 18.8051 10.7742i 0.863748 0.494873i
\(475\) 13.1445 + 17.3845i 0.603113 + 0.797656i
\(476\) 32.2187 + 18.8875i 1.47674 + 0.865705i
\(477\) 6.48480 + 36.7772i 0.296919 + 1.68391i
\(478\) −3.28924 + 8.94472i −0.150446 + 0.409122i
\(479\) 4.49014 + 12.3366i 0.205160 + 0.563671i 0.999012 0.0444390i \(-0.0141500\pi\)
−0.793852 + 0.608110i \(0.791928\pi\)
\(480\) 32.6909 + 11.0905i 1.49213 + 0.506210i
\(481\) 23.9567 + 20.1020i 1.09233 + 0.916573i
\(482\) −0.0322058 + 9.71193i −0.00146693 + 0.442366i
\(483\) 45.4262 26.2268i 2.06696 1.19336i
\(484\) 15.1973 + 12.9248i 0.690785 + 0.587489i
\(485\) 12.4753 + 30.5540i 0.566473 + 1.38739i
\(486\) 23.0288 + 13.3977i 1.04461 + 0.607733i
\(487\) 17.4027 + 10.0475i 0.788594 + 0.455295i 0.839467 0.543410i \(-0.182867\pi\)
−0.0508736 + 0.998705i \(0.516201\pi\)
\(488\) −20.2712 17.3561i −0.917636 0.785676i
\(489\) 9.19146 25.2533i 0.415652 1.14200i
\(490\) −9.79771 1.37343i −0.442615 0.0620454i
\(491\) −11.7701 14.0271i −0.531177 0.633032i 0.432009 0.901870i \(-0.357805\pi\)
−0.963186 + 0.268837i \(0.913361\pi\)
\(492\) −32.3011 11.9998i −1.45625 0.540994i
\(493\) 16.9548 0.763608
\(494\) 6.66559 + 30.1100i 0.299899 + 1.35471i
\(495\) −5.36737 8.51983i −0.241245 0.382938i
\(496\) −3.66446 + 2.99293i −0.164539 + 0.134386i
\(497\) −3.63055 + 3.04639i −0.162852 + 0.136649i
\(498\) −21.8133 + 25.8217i −0.977476 + 1.15710i
\(499\) −1.02077 + 2.80453i −0.0456958 + 0.125548i −0.960441 0.278482i \(-0.910169\pi\)
0.914746 + 0.404030i \(0.132391\pi\)
\(500\) 9.89022 + 20.0545i 0.442304 + 0.896865i
\(501\) −19.1348 + 33.1425i −0.854881 + 1.48070i
\(502\) 24.3732 + 14.1799i 1.08783 + 0.632879i
\(503\) 1.40030 7.94152i 0.0624365 0.354095i −0.937544 0.347866i \(-0.886906\pi\)
0.999981 0.00622852i \(-0.00198261\pi\)
\(504\) 7.34481 39.3606i 0.327164 1.75326i
\(505\) −9.40790 4.95806i −0.418646 0.220631i
\(506\) −0.0286728 + 8.64654i −0.00127466 + 0.384385i
\(507\) 21.0990 25.1449i 0.937042 1.11672i
\(508\) −10.2223 12.3478i −0.453540 0.547846i
\(509\) −0.0677817 0.186229i −0.00300437 0.00825444i 0.938181 0.346144i \(-0.112509\pi\)
−0.941186 + 0.337890i \(0.890287\pi\)
\(510\) −49.5270 + 10.5457i −2.19309 + 0.466970i
\(511\) −44.2964 + 7.81065i −1.95956 + 0.345523i
\(512\) −22.6173 0.675212i −0.999555 0.0298404i
\(513\) 11.6763 + 12.6656i 0.515521 + 0.559202i
\(514\) 10.9836 + 19.1706i 0.484464 + 0.845579i
\(515\) 25.4138 23.0521i 1.11986 1.01580i
\(516\) −25.6898 + 4.35433i −1.13093 + 0.191688i
\(517\) 2.41071 + 6.62338i 0.106023 + 0.291296i
\(518\) 4.79376 + 27.7241i 0.210626 + 1.21812i
\(519\) 8.71714 10.3887i 0.382640 0.456013i
\(520\) 0.905706 + 31.6271i 0.0397178 + 1.38694i
\(521\) 3.04886 1.76026i 0.133573 0.0771184i −0.431725 0.902006i \(-0.642095\pi\)
0.565297 + 0.824887i \(0.308761\pi\)
\(522\) −6.16042 17.1018i −0.269634 0.748528i
\(523\) −22.4405 3.95686i −0.981254 0.173022i −0.340063 0.940403i \(-0.610448\pi\)
−0.641191 + 0.767381i \(0.721559\pi\)
\(524\) 0.136590 20.5947i 0.00596695 0.899682i
\(525\) 35.8240 24.5482i 1.56349 1.07137i
\(526\) −1.09337 + 6.08279i −0.0476733 + 0.265222i
\(527\) 2.37371 6.52170i 0.103400 0.284090i
\(528\) 8.37122 + 7.21565i 0.364310 + 0.314021i
\(529\) 10.3200 8.65947i 0.448694 0.376499i
\(530\) 8.19521 25.2527i 0.355977 1.09691i
\(531\) 14.2333 0.617672
\(532\) −12.9001 + 24.5634i −0.559292 + 1.06496i
\(533\) 31.5824i 1.36799i
\(534\) −15.0903 + 12.5772i −0.653019 + 0.544268i
\(535\) −40.0967 12.8657i −1.73353 0.556232i
\(536\) 5.71371 + 16.1979i 0.246795 + 0.699642i
\(537\) 10.7930 29.6534i 0.465751 1.27964i
\(538\) 28.0442 + 5.04089i 1.20907 + 0.217328i
\(539\) −2.74304 1.58369i −0.118151 0.0682145i
\(540\) 9.32141 + 15.0161i 0.401129 + 0.646192i
\(541\) 6.52643 37.0132i 0.280593 1.59132i −0.440021 0.897987i \(-0.645029\pi\)
0.720614 0.693336i \(-0.243860\pi\)
\(542\) −7.53126 20.9074i −0.323495 0.898051i
\(543\) −20.0917 34.7999i −0.862218 1.49341i
\(544\) 29.0156 16.1167i 1.24403 0.690999i
\(545\) −2.28353 + 16.6925i −0.0978156 + 0.715030i
\(546\) 60.5513 10.4699i 2.59136 0.448071i
\(547\) 0.645066 + 1.77230i 0.0275810 + 0.0757783i 0.952719 0.303853i \(-0.0982731\pi\)
−0.925138 + 0.379631i \(0.876051\pi\)
\(548\) −11.8758 + 2.01290i −0.507307 + 0.0859868i
\(549\) −7.28766 41.3304i −0.311030 1.76394i
\(550\) 0.528112 + 7.13923i 0.0225188 + 0.304418i
\(551\) 0.587307 + 12.5820i 0.0250201 + 0.536012i
\(552\) 0.463753 46.6149i 0.0197387 1.98406i
\(553\) 3.10331 + 17.5997i 0.131966 + 0.748416i
\(554\) −9.67499 + 26.3100i −0.411051 + 1.11781i
\(555\) −30.1471 23.3758i −1.27967 0.992245i
\(556\) −20.7274 25.0373i −0.879037 1.06182i
\(557\) −6.84446 + 8.15691i −0.290009 + 0.345620i −0.891303 0.453409i \(-0.850208\pi\)
0.601293 + 0.799028i \(0.294652\pi\)
\(558\) −7.44072 0.0246742i −0.314991 0.00104454i
\(559\) −11.9409 20.6822i −0.505045 0.874764i
\(560\) −17.7395 + 22.2620i −0.749632 + 0.940742i
\(561\) −15.9652 2.81509i −0.674049 0.118853i
\(562\) −2.48255 1.44430i −0.104720 0.0609241i
\(563\) 4.42841 + 2.55674i 0.186635 + 0.107754i 0.590406 0.807106i \(-0.298968\pi\)
−0.403771 + 0.914860i \(0.632301\pi\)
\(564\) −12.7600 35.7947i −0.537293 1.50723i
\(565\) 11.6878 2.52920i 0.491711 0.106404i
\(566\) 5.58961 + 4.72192i 0.234949 + 0.198477i
\(567\) −6.23804 + 5.23433i −0.261973 + 0.219821i
\(568\) 0.690106 + 4.15509i 0.0289562 + 0.174344i
\(569\) 30.2550i 1.26836i 0.773187 + 0.634178i \(0.218661\pi\)
−0.773187 + 0.634178i \(0.781339\pi\)
\(570\) −9.54141 36.3882i −0.399646 1.52413i
\(571\) 17.3053i 0.724204i −0.932138 0.362102i \(-0.882059\pi\)
0.932138 0.362102i \(-0.117941\pi\)
\(572\) −3.52756 + 9.49546i −0.147495 + 0.397025i
\(573\) −34.2151 + 28.7099i −1.42936 + 1.19937i
\(574\) 18.3360 21.7055i 0.765331 0.905968i
\(575\) 21.5665 21.1348i 0.899387 0.881380i
\(576\) −26.7991 23.4113i −1.11663 0.975470i
\(577\) −16.4813 9.51548i −0.686125 0.396135i 0.116034 0.993245i \(-0.462982\pi\)
−0.802159 + 0.597111i \(0.796315\pi\)
\(578\) −12.3933 + 21.3023i −0.515491 + 0.886059i
\(579\) 18.0542 + 3.18344i 0.750307 + 0.132299i
\(580\) −1.83641 + 12.7918i −0.0762529 + 0.531150i
\(581\) −13.9364 24.1385i −0.578178 1.00143i
\(582\) 0.188899 56.9639i 0.00783010 2.36123i
\(583\) 5.46350 6.51114i 0.226275 0.269664i
\(584\) −14.0452 + 37.4262i −0.581196 + 1.54871i
\(585\) −30.4903 + 39.3225i −1.26062 + 1.62578i
\(586\) −35.3107 12.9848i −1.45867 0.536398i
\(587\) 1.03703 + 5.88130i 0.0428029 + 0.242747i 0.998701 0.0509507i \(-0.0162251\pi\)
−0.955898 + 0.293698i \(0.905114\pi\)
\(588\) 14.7319 + 8.63622i 0.607532 + 0.356152i
\(589\) 4.92191 + 1.53559i 0.202804 + 0.0632731i
\(590\) −8.93608 4.74733i −0.367893 0.195445i
\(591\) −8.39396 47.6045i −0.345281 1.95819i
\(592\) 23.3814 + 8.86307i 0.960968 + 0.364270i
\(593\) 2.27169 + 6.24141i 0.0932870 + 0.256304i 0.977557 0.210673i \(-0.0675654\pi\)
−0.884270 + 0.466977i \(0.845343\pi\)
\(594\) 0.964074 + 5.57559i 0.0395564 + 0.228769i
\(595\) 5.65934 41.3696i 0.232010 1.69599i
\(596\) 7.32846 + 12.8899i 0.300185 + 0.527993i
\(597\) 16.8339 + 29.1572i 0.688967 + 1.19333i
\(598\) 40.1984 14.4802i 1.64383 0.592141i
\(599\) −5.78001 + 32.7801i −0.236165 + 1.33936i 0.603981 + 0.796998i \(0.293580\pi\)
−0.840146 + 0.542360i \(0.817531\pi\)
\(600\) −2.59193 38.5085i −0.105815 1.57210i
\(601\) 17.6568 + 10.1942i 0.720236 + 0.415828i 0.814840 0.579687i \(-0.196825\pi\)
−0.0946036 + 0.995515i \(0.530158\pi\)
\(602\) 3.80108 21.1467i 0.154921 0.861875i
\(603\) −9.23858 + 25.3828i −0.376224 + 1.03367i
\(604\) 0.613388 3.34867i 0.0249584 0.136255i
\(605\) 6.81467 21.2384i 0.277056 0.863463i
\(606\) 11.7520 + 14.1002i 0.477393 + 0.572781i
\(607\) 11.2024i 0.454692i −0.973814 0.227346i \(-0.926995\pi\)
0.973814 0.227346i \(-0.0730048\pi\)
\(608\) 12.9651 + 20.9739i 0.525806 + 0.850604i
\(609\) 25.0983 1.01703
\(610\) −9.20982 + 28.3792i −0.372895 + 1.14904i
\(611\) 26.6811 22.3881i 1.07940 0.905727i
\(612\) 51.3436 + 9.40478i 2.07544 + 0.380166i
\(613\) −9.57534 + 26.3080i −0.386744 + 1.06257i 0.581713 + 0.813394i \(0.302382\pi\)
−0.968458 + 0.249178i \(0.919840\pi\)
\(614\) 15.4263 + 2.77284i 0.622553 + 0.111903i
\(615\) 1.48584 + 38.4966i 0.0599147 + 1.55233i
\(616\) −7.93720 + 4.47786i −0.319799 + 0.180418i
\(617\) 7.96463 + 1.40438i 0.320644 + 0.0565382i 0.331654 0.943401i \(-0.392393\pi\)
−0.0110097 + 0.999939i \(0.503505\pi\)
\(618\) −55.7181 + 20.0707i −2.24131 + 0.807363i
\(619\) −30.5329 + 17.6282i −1.22722 + 0.708537i −0.966448 0.256863i \(-0.917311\pi\)
−0.260774 + 0.965400i \(0.583978\pi\)
\(620\) 4.66328 + 2.49725i 0.187282 + 0.100292i
\(621\) 15.3415 18.2833i 0.615633 0.733683i
\(622\) 2.34711 0.405838i 0.0941105 0.0162726i
\(623\) −5.54022 15.2216i −0.221964 0.609841i
\(624\) 19.3576 51.0666i 0.774923 2.04430i
\(625\) 16.4537 18.8222i 0.658147 0.752889i
\(626\) −37.5419 + 21.5092i −1.50048 + 0.859679i
\(627\) 1.53602 11.9451i 0.0613429 0.477041i
\(628\) 14.8735 + 8.71923i 0.593516 + 0.347935i
\(629\) −36.1213 + 6.36916i −1.44025 + 0.253955i
\(630\) −43.7846 + 9.32293i −1.74442 + 0.371434i
\(631\) 5.27370 + 14.4894i 0.209943 + 0.576813i 0.999311 0.0371065i \(-0.0118141\pi\)
−0.789368 + 0.613920i \(0.789592\pi\)
\(632\) 14.8701 + 5.58041i 0.591500 + 0.221977i
\(633\) 11.7014 13.9452i 0.465088 0.554271i
\(634\) −27.5658 0.0914111i −1.09478 0.00363040i
\(635\) −8.35581 + 15.8551i −0.331590 + 0.629192i
\(636\) −29.6881 + 34.9080i −1.17721 + 1.38419i
\(637\) −2.71787 + 15.4138i −0.107686 + 0.610717i
\(638\) −2.08050 + 3.57609i −0.0823677 + 0.141579i
\(639\) −3.31199 + 5.73653i −0.131020 + 0.226934i
\(640\) 9.01673 + 23.6368i 0.356417 + 0.934327i
\(641\) −11.9777 + 32.9083i −0.473089 + 1.29980i 0.442169 + 0.896932i \(0.354209\pi\)
−0.915258 + 0.402869i \(0.868013\pi\)
\(642\) 55.5242 + 46.9049i 2.19136 + 1.85119i
\(643\) 7.57663 6.35754i 0.298793 0.250717i −0.481049 0.876694i \(-0.659744\pi\)
0.779842 + 0.625977i \(0.215300\pi\)
\(644\) 36.0338 + 13.3865i 1.41993 + 0.527503i
\(645\) 15.5280 + 24.6482i 0.611416 + 0.970524i
\(646\) −32.0774 16.7109i −1.26207 0.657481i
\(647\) −19.5672 −0.769267 −0.384634 0.923069i \(-0.625672\pi\)
−0.384634 + 0.923069i \(0.625672\pi\)
\(648\) 1.18574 + 7.13929i 0.0465804 + 0.280458i
\(649\) −2.08233 2.48162i −0.0817385 0.0974121i
\(650\) 32.2582 14.5182i 1.26527 0.569450i
\(651\) 3.51380 9.65408i 0.137717 0.378373i
\(652\) 18.5508 6.61296i 0.726507 0.258983i
\(653\) −10.6278 6.13596i −0.415898 0.240119i 0.277423 0.960748i \(-0.410520\pi\)
−0.693321 + 0.720629i \(0.743853\pi\)
\(654\) 14.6237 25.1361i 0.571831 0.982898i
\(655\) −21.3176 + 8.70402i −0.832946 + 0.340094i
\(656\) −8.32123 23.8417i −0.324889 0.930862i
\(657\) −54.4437 + 31.4331i −2.12405 + 1.22632i
\(658\) 31.3350 + 0.103910i 1.22157 + 0.00405084i
\(659\) −4.11927 3.45648i −0.160464 0.134645i 0.559020 0.829154i \(-0.311177\pi\)
−0.719484 + 0.694509i \(0.755622\pi\)
\(660\) 3.85310 11.7402i 0.149982 0.456987i
\(661\) 3.24416 + 8.91326i 0.126183 + 0.346686i 0.986658 0.162808i \(-0.0520550\pi\)
−0.860475 + 0.509493i \(0.829833\pi\)
\(662\) −42.9167 15.7818i −1.66801 0.613376i
\(663\) 13.9107 + 78.8915i 0.540247 + 3.06389i
\(664\) −24.7701 0.246428i −0.961268 0.00956328i
\(665\) 30.8960 + 2.76671i 1.19810 + 0.107289i
\(666\) 19.5488 + 34.1203i 0.757500 + 1.32213i
\(667\) 17.1860 3.03036i 0.665446 0.117336i
\(668\) −27.6510 + 4.68675i −1.06985 + 0.181336i
\(669\) 13.3148 4.84620i 0.514781 0.187365i
\(670\) 14.2664 12.8547i 0.551158 0.496619i
\(671\) −6.13991 + 7.31726i −0.237029 + 0.282480i
\(672\) 42.9518 23.8576i 1.65690 0.920327i
\(673\) −9.22356 15.9757i −0.355542 0.615817i 0.631668 0.775239i \(-0.282370\pi\)
−0.987211 + 0.159422i \(0.949037\pi\)
\(674\) 26.5464 9.56251i 1.02253 0.368334i
\(675\) 11.4971 16.0712i 0.442523 0.618580i
\(676\) 24.0543 + 0.159535i 0.925166 + 0.00613597i
\(677\) −14.3471 + 24.8499i −0.551404 + 0.955060i 0.446770 + 0.894649i \(0.352574\pi\)
−0.998174 + 0.0604107i \(0.980759\pi\)
\(678\) −20.3151 3.65160i −0.780197 0.140239i
\(679\) 44.1393 + 16.0654i 1.69391 + 0.616533i
\(680\) −29.0982 23.0296i −1.11586 0.883145i
\(681\) 10.8047 9.06624i 0.414038 0.347419i
\(682\) 1.08427 + 1.30092i 0.0415190 + 0.0498150i
\(683\) 14.8522i 0.568305i −0.958779 0.284152i \(-0.908288\pi\)
0.958779 0.284152i \(-0.0917121\pi\)
\(684\) −5.20068 + 38.4273i −0.198853 + 1.46931i
\(685\) 7.17823 + 11.3943i 0.274266 + 0.435353i
\(686\) 13.3849 11.1559i 0.511039 0.425933i
\(687\) −24.9537 29.7386i −0.952042 1.13460i
\(688\) −14.4635 12.4669i −0.551415 0.475297i
\(689\) −39.4681 14.3652i −1.50361 0.547271i
\(690\) −48.3175 + 19.5415i −1.83942 + 0.743932i
\(691\) −6.56188 3.78851i −0.249626 0.144122i 0.369967 0.929045i \(-0.379369\pi\)
−0.619593 + 0.784923i \(0.712702\pi\)
\(692\) 9.93812 + 0.0659125i 0.377791 + 0.00250562i
\(693\) −14.1141 2.48869i −0.536149 0.0945375i
\(694\) 40.0704 14.4341i 1.52105 0.547912i
\(695\) −16.9428 + 32.1490i −0.642678 + 1.21948i
\(696\) 11.3444 19.2053i 0.430009 0.727975i
\(697\) 28.3752 + 23.8096i 1.07479 + 0.901855i
\(698\) 4.49663 + 26.0057i 0.170200 + 0.984329i
\(699\) 11.7077 4.26126i 0.442827 0.161176i
\(700\) 30.5988 + 8.75058i 1.15653 + 0.330741i
\(701\) 5.52325 + 31.3239i 0.208610 + 1.18309i 0.891657 + 0.452712i \(0.149544\pi\)
−0.683046 + 0.730375i \(0.739345\pi\)
\(702\) 24.2607 13.8999i 0.915662 0.524617i
\(703\) −5.97771 26.5846i −0.225454 1.00266i
\(704\) −0.161135 + 8.09758i −0.00607302 + 0.305189i
\(705\) −31.4690 + 28.5447i −1.18519 + 1.07505i
\(706\) −7.15347 + 19.4530i −0.269224 + 0.732125i
\(707\) −14.2229 + 5.17673i −0.534909 + 0.194691i
\(708\) 11.1377 + 13.4536i 0.418580 + 0.505616i
\(709\) 10.9687 + 9.20381i 0.411937 + 0.345656i 0.825086 0.565007i \(-0.191127\pi\)
−0.413149 + 0.910663i \(0.635571\pi\)
\(710\) 3.99271 2.49689i 0.149844 0.0937068i
\(711\) 12.4889 + 21.6314i 0.468370 + 0.811241i
\(712\) −14.1518 2.64077i −0.530363 0.0989672i
\(713\) 1.24044 7.03489i 0.0464549 0.263459i
\(714\) −36.2423 + 62.2954i −1.35633 + 2.33135i
\(715\) 11.3167 0.436787i 0.423222 0.0163349i
\(716\) 21.7831 7.76519i 0.814073 0.290199i
\(717\) −17.2823 6.29024i −0.645419 0.234913i
\(718\) −10.7300 + 12.7017i −0.400439 + 0.474024i
\(719\) 13.9296 + 16.6007i 0.519487 + 0.619101i 0.960459 0.278420i \(-0.0898106\pi\)
−0.440972 + 0.897521i \(0.645366\pi\)
\(720\) −12.6567 + 37.7181i −0.471686 + 1.40567i
\(721\) 48.8344i 1.81869i
\(722\) 11.2898 24.3832i 0.420164 0.907448i
\(723\) −18.7420 −0.697022
\(724\) 10.2551 27.6046i 0.381127 1.02592i
\(725\) 13.9931 3.59818i 0.519689 0.133633i
\(726\) −24.8445 + 29.4100i −0.922067 + 1.09151i
\(727\) 10.9802 + 3.99646i 0.407232 + 0.148220i 0.537511 0.843257i \(-0.319365\pi\)
−0.130278 + 0.991477i \(0.541587\pi\)
\(728\) 34.2074 + 29.2882i 1.26781 + 1.08549i
\(729\) −21.8691 + 37.8784i −0.809966 + 1.40290i
\(730\) 44.6655 1.57562i 1.65314 0.0583162i
\(731\) 27.5840 + 4.86380i 1.02023 + 0.179894i
\(732\) 33.3636 39.2299i 1.23316 1.44998i
\(733\) 40.8347 23.5759i 1.50826 0.870796i 0.508309 0.861175i \(-0.330271\pi\)
0.999954 0.00962065i \(-0.00306240\pi\)
\(734\) −39.9923 0.132619i −1.47614 0.00489505i
\(735\) 2.58771 18.9161i 0.0954492 0.697731i
\(736\) 26.5307 21.5225i 0.977934 0.793330i
\(737\) 5.77718 2.10272i 0.212805 0.0774548i
\(738\) 13.7062 37.2723i 0.504530 1.37201i
\(739\) −3.69363 + 0.651286i −0.135872 + 0.0239580i −0.241171 0.970483i \(-0.577531\pi\)
0.105298 + 0.994441i \(0.466420\pi\)
\(740\) −0.892918 27.9420i −0.0328243 1.02717i
\(741\) −58.0627 + 13.0557i −2.13299 + 0.479615i
\(742\) −18.7848 32.7869i −0.689613 1.20365i
\(743\) −7.67090 + 1.35259i −0.281418 + 0.0496216i −0.312576 0.949893i \(-0.601192\pi\)
0.0311575 + 0.999514i \(0.490081\pi\)
\(744\) −5.79911 7.05242i −0.212606 0.258554i
\(745\) 10.1582 13.1008i 0.372169 0.479977i
\(746\) −0.257959 1.49187i −0.00944456 0.0546213i
\(747\) −29.8424 25.0407i −1.09188 0.916192i
\(748\) −5.87180 10.3278i −0.214694 0.377624i
\(749\) −51.9049 + 29.9673i −1.89656 + 1.09498i
\(750\) −38.6373 + 19.2142i −1.41083 + 0.701602i
\(751\) 2.93202 16.6283i 0.106991 0.606775i −0.883416 0.468590i \(-0.844762\pi\)
0.990406 0.138185i \(-0.0441268\pi\)
\(752\) 14.2429 23.9307i 0.519387 0.872664i
\(753\) −27.2079 + 47.1255i −0.991511 + 1.71735i
\(754\) 20.1217 + 3.61684i 0.732788 + 0.131717i
\(755\) −3.72011 + 0.805019i −0.135389 + 0.0292976i
\(756\) 24.7434 + 4.53234i 0.899910 + 0.164840i
\(757\) 3.27044 + 3.89756i 0.118866 + 0.141659i 0.822196 0.569204i \(-0.192749\pi\)
−0.703330 + 0.710864i \(0.748304\pi\)
\(758\) 37.9122 31.5984i 1.37703 1.14771i
\(759\) −16.6860 −0.605664
\(760\) 16.0821 22.3912i 0.583359 0.812214i
\(761\) −42.1085 −1.52643 −0.763216 0.646143i \(-0.776381\pi\)
−0.763216 + 0.646143i \(0.776381\pi\)
\(762\) 23.7630 19.8056i 0.860844 0.717483i
\(763\) 15.4137 + 18.3693i 0.558012 + 0.665013i
\(764\) −32.1962 5.89750i −1.16482 0.213364i
\(765\) −12.3430 57.0387i −0.446261 2.06224i
\(766\) −33.9255 6.09805i −1.22578 0.220331i
\(767\) −8.00402 + 13.8634i −0.289009 + 0.500577i
\(768\) 1.15827 43.6506i 0.0417954 1.57510i