Properties

Label 380.2.bb.a.59.10
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 59.10
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.10

$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08636 0.905441i −0.768172 0.640244i
\(3\) −1.75425 + 2.09063i −1.01281 + 1.20702i −0.0346051 + 0.999401i \(0.511017\pi\)
−0.978209 + 0.207624i \(0.933427\pi\)
\(4\) 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 −0.992603 0.121409i \(-0.961259\pi\)
0.391158 0.920324i \(-0.372075\pi\)
\(8\) 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 0.626319 0.779567i \(-0.284561\pi\)
−0.361965 + 0.932192i \(0.617894\pi\)
\(12\) −4.74497 2.69771i −1.36976 0.778762i
\(13\) −3.83232 + 3.21570i −1.06289 + 0.891875i −0.994390 0.105776i \(-0.966267\pi\)
−0.0685050 + 0.997651i \(0.521823\pi\)
\(14\) −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 0.822735 0.568425i \(-0.192447\pi\)
0.578706 + 0.815537i \(0.303558\pi\)
\(18\) −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 0.857371 0.514698i \(-0.172096\pi\)
0.325943 + 0.945389i \(0.394318\pi\)
\(24\) 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 0.0969402 0.995290i \(-0.469094\pi\)
0.431503 + 0.902111i \(0.357983\pi\)
\(30\) −8.62487 0.304251i −1.57468 0.0555483i
\(31\) 0.591422 + 1.02437i 0.106223 + 0.183983i 0.914237 0.405180i \(-0.132791\pi\)
−0.808014 + 0.589163i \(0.799458\pi\)
\(32\) 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 −0.349625 0.936890i \(-0.613691\pi\)
0.983368 + 0.181624i \(0.0581354\pi\)
\(42\) −7.92667 9.38326i −1.22311 1.44787i
\(43\) 4.48584 1.63271i 0.684084 0.248986i 0.0234840 0.999724i \(-0.492524\pi\)
0.660600 + 0.750738i \(0.270302\pi\)
\(44\) −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 −0.936580 0.350455i \(-0.886027\pi\)
0.760234 0.649649i \(-0.225084\pi\)
\(48\) 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 0.821275 0.570532i \(-0.193263\pi\)
0.262402 + 0.964959i \(0.415485\pi\)
\(54\) −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 0.927038 + 0.374968i \(0.122346\pi\)
−0.999377 + 0.0352889i \(0.988765\pi\)
\(60\) 9.09423 + 8.13984i 1.17406 + 1.05085i
\(61\) −8.86603 3.22697i −1.13518 0.413171i −0.295009 0.955494i \(-0.595323\pi\)
−0.840170 + 0.542323i \(0.817545\pi\)
\(62\) 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 0.204052 0.978960i \(-0.434589\pi\)
0.526570 + 0.850132i \(0.323478\pi\)
\(68\) 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 −0.257645 0.966240i \(-0.582947\pi\)
0.423719 + 0.905794i \(0.360724\pi\)
\(72\) −11.8646 4.18518i −1.39826 0.493228i
\(73\) 9.08468 10.8267i 1.06328 1.26717i 0.101066 0.994880i \(-0.467775\pi\)
0.962215 0.272289i \(-0.0877808\pi\)
\(74\) 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 0.851860 0.523769i \(-0.175475\pi\)
−0.367888 + 0.929870i \(0.619919\pi\)
\(80\) 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 0.519096 0.854716i \(-0.326269\pi\)
−0.999754 + 0.0221925i \(0.992935\pi\)
\(84\) 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 0.564248 0.825605i \(-0.309166\pi\)
−0.911043 + 0.412311i \(0.864722\pi\)
\(90\) 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 0.522071 + 0.852902i \(0.325160\pi\)
−0.782296 + 0.622907i \(0.785951\pi\)
\(98\) 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 −0.443279 0.896384i \(-0.646185\pi\)
0.805791 + 0.592200i \(0.201741\pi\)
\(102\) 22.6456 0.0750951i 2.24224 0.00743552i
\(103\) −13.2887 7.67222i −1.30937 0.755967i −0.327381 0.944892i \(-0.606166\pi\)
−0.981991 + 0.188926i \(0.939499\pi\)
\(104\) 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 0.581353 0.813651i \(-0.302524\pi\)
0.995319 0.0966407i \(-0.0308098\pi\)
\(108\) −2.65404 + 7.44518i −0.255385 + 0.716413i
\(109\) 2.57700 + 7.08026i 0.246832 + 0.678166i 0.999798 + 0.0201062i \(0.00640043\pi\)
−0.752966 + 0.658060i \(0.771377\pi\)
\(110\) 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 0.944553 0.328358i \(-0.106495\pi\)
−0.487390 + 0.873185i \(0.662051\pi\)
\(128\) −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 0.598103 0.801420i \(-0.295922\pi\)
0.287931 + 0.957651i \(0.407033\pi\)
\(132\) −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 −0.996054 0.0887514i \(-0.971712\pi\)
0.820070 + 0.572264i \(0.193935\pi\)
\(138\) 22.9678 + 3.97135i 1.95515 + 0.338064i
\(139\) 10.4465 + 12.4496i 0.886060 + 1.05597i 0.998060 + 0.0622569i \(0.0198298\pi\)
−0.112000 + 0.993708i \(0.535726\pi\)
\(140\) −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 0.379798 0.925069i \(-0.375993\pi\)
−0.845064 + 0.534665i \(0.820438\pi\)
\(150\) 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 −0.999998 0.00209846i \(-0.999332\pi\)
0.764694 0.644394i \(-0.222890\pi\)
\(158\) −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 −0.606214 0.795301i \(-0.707313\pi\)
0.991858 + 0.127346i \(0.0406460\pi\)
\(164\) 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 0.603796 + 0.797139i \(0.293654\pi\)
−0.974926 + 0.222531i \(0.928568\pi\)
\(168\) 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 −0.934276 0.356552i \(-0.883952\pi\)
0.999880 0.0155078i \(-0.00493648\pi\)
\(174\) 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 −0.564930 0.825139i \(-0.691097\pi\)
0.997056 + 0.0766749i \(0.0244304\pi\)
\(180\) −19.6906 + 2.82683i −1.46765 + 0.210699i
\(181\) 14.5003 2.55679i 1.07780 0.190044i 0.393555 0.919301i \(-0.371245\pi\)
0.684240 + 0.729257i \(0.260134\pi\)
\(182\) −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 \(0.201701\pi\)
−0.805865 + 0.592100i \(0.798299\pi\)
\(192\) 21.5724 + 3.36273i 1.55686 + 0.242684i
\(193\) −5.14586 4.31789i −0.370407 0.310809i 0.438515 0.898724i \(-0.355504\pi\)
−0.808923 + 0.587915i \(0.799949\pi\)
\(194\) 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 0.158536 0.987353i \(-0.449322\pi\)
0.934341 + 0.356380i \(0.115989\pi\)
\(198\) −5.50474 + 3.20255i −0.391205 + 0.227595i
\(199\) −12.1491 + 2.14222i −0.861227 + 0.151858i −0.586782 0.809745i \(-0.699605\pi\)
−0.274445 + 0.961603i \(0.588494\pi\)
\(200\) 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 −0.918628 0.395123i \(-0.870702\pi\)
0.998368 0.0571048i \(-0.0181869\pi\)
\(212\) −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 0.865929 0.500167i \(-0.166728\pi\)
−0.984841 + 0.173459i \(0.944506\pi\)
\(224\) −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 \(-0.945135\pi\)
0.985182 0.171512i \(-0.0548651\pi\)
\(228\) −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 0.877981 0.478696i \(-0.158890\pi\)
−0.980272 + 0.197653i \(0.936668\pi\)
\(234\) −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 0.676733 0.736229i \(-0.263395\pi\)
−0.299226 + 0.954182i \(0.596729\pi\)
\(240\) −12.7361 + 20.8240i −0.822114 + 1.34418i
\(241\) 4.41428 + 5.26074i 0.284349 + 0.338874i 0.889246 0.457430i \(-0.151230\pi\)
−0.604897 + 0.796304i \(0.706786\pi\)
\(242\) −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 0.515096 + 0.857132i \(0.327756\pi\)
−0.945541 + 0.325504i \(0.894466\pi\)
\(252\) −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 0.944600 + 0.328224i \(0.106450\pi\)
−0.775375 + 0.631502i \(0.782439\pi\)
\(258\) 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 0.740140 0.672452i \(-0.234759\pi\)
−0.533712 + 0.845666i \(0.679203\pi\)
\(264\) −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 −0.999326 0.0367211i \(-0.988309\pi\)
0.209694 + 0.977767i \(0.432753\pi\)
\(270\) 1.73492 + 12.3765i 0.105584 + 0.753207i
\(271\) −5.37440 14.7660i −0.326472 0.896973i −0.988997 0.147934i \(-0.952738\pi\)
0.662526 0.749039i \(-0.269485\pi\)
\(272\) −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 0.917393 0.397983i \(-0.130290\pi\)
0.114033 + 0.993477i \(0.463623\pi\)
\(278\) −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 −0.917249 0.398315i \(-0.869595\pi\)
0.958685 + 0.284469i \(0.0918172\pi\)
\(282\) −9.27403 25.2197i −0.552260 1.50181i
\(283\) −0.898453 + 5.09538i −0.0534075 + 0.302889i −0.999797 0.0201382i \(-0.993589\pi\)
0.946390 + 0.323027i \(0.104701\pi\)
\(284\) 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 −0.156530 0.987673i \(-0.550031\pi\)
0.933615 0.358278i \(-0.116636\pi\)
\(294\) −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 −0.930015 0.367521i \(-0.880207\pi\)
0.523433 + 0.852067i \(0.324651\pi\)
\(308\) 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 −0.540785 0.841161i \(-0.681873\pi\)
0.458074 + 0.888914i \(0.348540\pi\)
\(312\) −33.6335 18.9747i −1.90412 1.07423i
\(313\) 30.1296 5.31267i 1.70303 0.300290i 0.764278 0.644887i \(-0.223096\pi\)
0.938751 + 0.344597i \(0.111985\pi\)
\(314\) −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 −0.118608 0.992941i \(-0.537843\pi\)
0.957260 + 0.289228i \(0.0933987\pi\)
\(318\) 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 0.0470793 0.998891i \(-0.485009\pi\)
0.841525 0.540217i \(-0.181658\pi\)
\(332\) 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 −0.797762 0.602972i \(-0.793983\pi\)
−0.223538 + 0.974695i \(0.571761\pi\)
\(338\) −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 −0.960955 0.276706i \(-0.910757\pi\)
−0.558271 + 0.829659i \(0.688535\pi\)
\(348\) −14.8567 5.29608i −0.796403 0.283900i
\(349\) 9.33083 + 16.1615i 0.499468 + 0.865103i 1.00000 0.000614500i \(-0.000195602\pi\)
−0.500532 + 0.865718i \(0.666862\pi\)
\(350\) −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 0.798176 0.602424i \(-0.205798\pi\)
−0.122627 + 0.992453i \(0.539132\pi\)
\(354\) 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 0.470627 0.882332i \(-0.344028\pi\)
0.140470 + 0.990085i \(0.455139\pi\)
\(360\) 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 0.131698 0.991290i \(-0.457957\pi\)
0.999099 + 0.0424388i \(0.0135128\pi\)
\(368\) −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 0.851835 0.523811i \(-0.175490\pi\)
−0.879551 + 0.475805i \(0.842157\pi\)
\(374\) −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 −0.199121 0.979975i \(-0.563809\pi\)
0.999664 + 0.0259253i \(0.00825321\pi\)
\(384\) −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 −0.819287 0.573383i \(-0.805631\pi\)
0.573770 0.819017i \(-0.305480\pi\)
\(390\) 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 −0.503122 0.864216i \(-0.667815\pi\)
−0.768359 + 0.640019i \(0.778926\pi\)
\(398\) 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 0.514142 0.857705i \(-0.328111\pi\)
0.189782 + 0.981826i \(0.439222\pi\)
\(402\) 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 −0.635081 0.772446i \(-0.719033\pi\)
−0.332589 + 0.943072i \(0.607922\pi\)
\(410\) 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 \(0.0963053\pi\)
−0.954579 + 0.297957i \(0.903695\pi\)
\(420\) 7.96336 38.0179i 0.388572 1.85508i
\(421\) −9.20196 + 10.9665i −0.448476 + 0.534473i −0.942158 0.335170i \(-0.891206\pi\)
0.493682 + 0.869643i \(0.335651\pi\)
\(422\) −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 −0.707868 0.706344i \(-0.750343\pi\)
0.572693 + 0.819770i \(0.305899\pi\)
\(432\) −15.6031 2.53833i −0.750702 0.122125i
\(433\) −1.22220 0.444844i −0.0587351 0.0213778i 0.312486 0.949923i \(-0.398838\pi\)
−0.371221 + 0.928545i \(0.621061\pi\)
\(434\) −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 −0.950132 0.311847i \(-0.899052\pi\)
0.999490 + 0.0319243i \(0.0101636\pi\)
\(440\) −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 −0.966679 0.255990i \(-0.917599\pi\)
0.0842389 + 0.996446i \(0.473154\pi\)
\(444\) 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 −0.135727 0.990746i \(-0.543337\pi\)
0.790148 + 0.612916i \(0.210004\pi\)
\(450\) −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 \(0.301368\pi\)
−0.584303 + 0.811535i \(0.698632\pi\)
\(458\) −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 0.440536 0.897735i \(-0.354789\pi\)
0.914523 + 0.404534i \(0.132566\pi\)
\(462\) −2.20000 12.2394i −0.102353 0.569427i
\(463\) −13.6653 23.6690i −0.635079 1.09999i −0.986498 0.163771i \(-0.947634\pi\)
0.351419 0.936218i \(-0.385699\pi\)
\(464\) −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 −0.422594 0.906319i \(-0.638880\pi\)
0.996192 0.0871824i \(-0.0277863\pi\)
\(468\) −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 −0.793852 0.608110i \(-0.791928\pi\)
0.999012 + 0.0444390i \(0.0141500\pi\)
\(480\) 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 −0.0508736 0.998705i \(-0.516201\pi\)
0.839467 + 0.543410i \(0.182867\pi\)
\(488\) −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 −0.963186 0.268837i \(-0.913361\pi\)
0.432009 + 0.901870i \(0.357805\pi\)
\(492\) −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 0.914746 0.404030i \(-0.132391\pi\)
−0.960441 + 0.278482i \(0.910169\pi\)
\(500\) 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 0.999981 + 0.00622852i \(0.00198261\pi\)
−0.937544 + 0.347866i \(0.886906\pi\)
\(504\) 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 −0.941186 0.337890i \(-0.890287\pi\)
0.938181 + 0.346144i \(0.112509\pi\)
\(510\) −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 0.565297 0.824887i \(-0.308761\pi\)
−0.431725 + 0.902006i \(0.642095\pi\)
\(522\) −6.16042 + 17.1018i −0.269634 + 0.748528i
\(523\) −22.4405 + 3.95686i −0.981254 + 0.173022i −0.641191 0.767381i \(-0.721559\pi\)
−0.340063 + 0.940403i \(0.610448\pi\)
\(524\) 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 0.720614 + 0.693336i \(0.243860\pi\)
−0.440021 + 0.897987i \(0.645029\pi\)
\(542\) −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 −0.925138 0.379631i \(-0.876051\pi\)
0.952719 + 0.303853i \(0.0982731\pi\)
\(548\) −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 0.601293 0.799028i \(-0.294652\pi\)
−0.891303 + 0.453409i \(0.850208\pi\)
\(558\) −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 −0.403771 0.914860i \(-0.632301\pi\)
0.590406 + 0.807106i \(0.298968\pi\)
\(564\) −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 \(-0.781339\pi\)
0.773187 0.634178i \(-0.218661\pi\)
\(570\) −9.54141 + 36.3882i −0.399646 + 1.52413i
\(571\) 17.3053i 0.724204i 0.932138 + 0.362102i \(0.117941\pi\)
−0.932138 + 0.362102i \(0.882059\pi\)
\(572\) −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 −0.802159 0.597111i \(-0.796315\pi\)
0.116034 + 0.993245i \(0.462982\pi\)
\(578\) −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 −0.955898 0.293698i \(-0.905114\pi\)
0.998701 + 0.0509507i \(0.0162251\pi\)
\(588\) 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 −0.884270 0.466977i \(-0.845343\pi\)
0.977557 + 0.210673i \(0.0675654\pi\)
\(594\) 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 −0.840146 0.542360i \(-0.817531\pi\)
0.603981 0.796998i \(-0.293580\pi\)
\(600\) −2.59193 + 38.5085i −0.105815 + 1.57210i
\(601\) 17.6568 10.1942i 0.720236 0.415828i −0.0946036 0.995515i \(-0.530158\pi\)
0.814840 + 0.579687i \(0.196825\pi\)
\(602\) 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 \(0.0730048\pi\)
−0.973814 + 0.227346i \(0.926995\pi\)
\(608\) 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 −0.968458 0.249178i \(-0.919840\pi\)
0.581713 0.813394i \(-0.302382\pi\)
\(614\) 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 −0.0110097 0.999939i \(-0.503505\pi\)
0.331654 + 0.943401i \(0.392393\pi\)
\(618\) −55.7181 20.0707i −2.24131 0.807363i
\(619\) −30.5329 17.6282i −1.22722 0.708537i −0.260774 0.965400i \(-0.583978\pi\)
−0.966448 + 0.256863i \(0.917311\pi\)
\(620\) 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 −0.789368 0.613920i \(-0.789592\pi\)
0.999311 + 0.0371065i \(0.0118141\pi\)
\(632\) 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 −0.915258 0.402869i \(-0.868013\pi\)
0.442169 0.896932i \(-0.354209\pi\)
\(642\) 55.5242 46.9049i 2.19136 1.85119i
\(643\) 7.57663 + 6.35754i 0.298793 + 0.250717i 0.779842 0.625977i \(-0.215300\pi\)
−0.481049 + 0.876694i \(0.659744\pi\)
\(644\) 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 −0.693321 0.720629i \(-0.743853\pi\)
0.277423 + 0.960748i \(0.410520\pi\)
\(654\) 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 −0.719484 0.694509i \(-0.755622\pi\)
0.559020 + 0.829154i \(0.311177\pi\)
\(660\) 3.85310 + 11.7402i 0.149982 + 0.456987i
\(661\) 3.24416 8.91326i 0.126183 0.346686i −0.860475 0.509493i \(-0.829833\pi\)
0.986658 + 0.162808i \(0.0520550\pi\)
\(662\) −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 −0.987211 0.159422i \(-0.949037\pi\)
0.631668 + 0.775239i \(0.282370\pi\)
\(674\) 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 −0.998174 0.0604107i \(-0.980759\pi\)
0.446770 0.894649i \(-0.352574\pi\)
\(678\) −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 \(0.0917121\pi\)
−0.958779 + 0.284152i \(0.908288\pi\)
\(684\) −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 −0.619593 0.784923i \(-0.712702\pi\)
0.369967 + 0.929045i \(0.379369\pi\)
\(692\) 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 −0.683046 0.730375i \(-0.739345\pi\)
0.891657 0.452712i \(-0.149544\pi\)
\(702\) 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 −0.413149 0.910663i \(-0.635571\pi\)
0.825086 + 0.565007i \(0.191127\pi\)
\(710\) 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 −0.440972 0.897521i \(-0.645366\pi\)
0.960459 + 0.278420i \(0.0898106\pi\)
\(720\) −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 −0.130278 0.991477i \(-0.541587\pi\)
0.537511 + 0.843257i \(0.319365\pi\)
\(728\) 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 0.999954 + 0.00962065i \(0.00306240\pi\)
0.508309 + 0.861175i \(0.330271\pi\)
\(734\) −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 0.105298 0.994441i \(-0.466420\pi\)
−0.241171 + 0.970483i \(0.577531\pi\)
\(740\) −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 0.0311575 0.999514i \(-0.490081\pi\)
−0.312576 + 0.949893i \(0.601192\pi\)
\(744\) −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 0.990406 + 0.138185i \(0.0441268\pi\)
−0.883416 + 0.468590i \(0.844762\pi\)
\(752\) 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 −0.703330 0.710864i \(-0.748304\pi\)
0.822196 + 0.569204i \(0.192749\pi\)
\(758\) 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