Properties

Label 234.2.z.a.227.1
Level $234$
Weight $2$
Character 234.227
Analytic conductor $1.868$
Analytic rank $0$
Dimension $56$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [234,2,Mod(41,234)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(234, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([10, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("234.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 234.z (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.86849940730\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 227.1
Character \(\chi\) \(=\) 234.227
Dual form 234.2.z.a.167.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.66097 - 0.491112i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.174335 - 0.650628i) q^{5} +(0.904267 - 1.47726i) q^{6} +(1.26694 + 1.26694i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.51762 + 1.63144i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.66097 - 0.491112i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.174335 - 0.650628i) q^{5} +(0.904267 - 1.47726i) q^{6} +(1.26694 + 1.26694i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.51762 + 1.63144i) q^{9} +(0.583337 + 0.336790i) q^{10} +(0.952090 + 0.255112i) q^{11} +(1.19288 + 1.25580i) q^{12} +(2.90807 + 2.13146i) q^{13} +(-1.55168 + 0.895864i) q^{14} +(-0.609096 + 0.995053i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.20946 + 2.09485i) q^{17} +(-2.22746 + 2.00959i) q^{18} +(6.33213 + 1.69669i) q^{19} +(-0.476293 + 0.476293i) q^{20} +(-1.48214 - 2.72656i) q^{21} +(-0.492838 + 0.853620i) q^{22} -6.32605 q^{23} +(-1.52175 + 0.827212i) q^{24} +(3.93720 + 2.27315i) q^{25} +(-2.81150 + 2.25732i) q^{26} +(-3.38046 - 3.94620i) q^{27} +(-0.463733 - 1.73068i) q^{28} +(3.71748 - 2.14629i) q^{29} +(-0.803502 - 0.845880i) q^{30} +(-5.59289 - 1.49861i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.45610 - 0.891314i) q^{33} +(-2.33650 + 0.626062i) q^{34} +(1.04518 - 0.603436i) q^{35} +(-1.36460 - 2.67168i) q^{36} +(6.83094 - 1.83034i) q^{37} +(-3.27775 + 5.67724i) q^{38} +(-3.78342 - 4.96847i) q^{39} +(-0.336790 - 0.583337i) q^{40} +(-3.51849 - 3.51849i) q^{41} +(3.01726 - 0.725951i) q^{42} +0.892279i q^{43} +(-0.696978 - 0.696978i) q^{44} +(1.50037 - 1.35362i) q^{45} +(1.63730 - 6.11049i) q^{46} +(-0.981707 - 3.66378i) q^{47} +(-0.405168 - 1.68399i) q^{48} -3.78971i q^{49} +(-3.21471 + 3.21471i) q^{50} +(-0.980069 - 4.07345i) q^{51} +(-1.45273 - 3.29993i) q^{52} +9.00014i q^{53} +(4.68666 - 2.24392i) q^{54} +(0.331966 - 0.574981i) q^{55} +1.79173 q^{56} +(-9.68420 - 5.92793i) q^{57} +(1.11100 + 4.14631i) q^{58} +(1.22237 + 4.56196i) q^{59} +(1.02502 - 0.557194i) q^{60} +4.76398 q^{61} +(2.89509 - 5.01445i) q^{62} +(1.12274 + 5.25662i) q^{63} -1.00000i q^{64} +(1.89377 - 1.52048i) q^{65} +(1.23781 - 1.17580i) q^{66} +(-7.82927 + 7.82927i) q^{67} -2.41892i q^{68} +(10.5074 + 3.10679i) q^{69} +(0.312361 + 1.16575i) q^{70} +(1.70900 - 6.37808i) q^{71} +(2.93383 - 0.626624i) q^{72} +(-8.01788 - 8.01788i) q^{73} +7.07190i q^{74} +(-5.42319 - 5.70922i) q^{75} +(-4.63544 - 4.63544i) q^{76} +(0.883031 + 1.52946i) q^{77} +(5.77840 - 2.36857i) q^{78} +(-0.807117 + 1.39797i) q^{79} +(0.650628 - 0.174335i) q^{80} +(3.67681 + 8.21469i) q^{81} +(4.30925 - 2.48795i) q^{82} +(-7.31055 + 1.95885i) q^{83} +(-0.0797096 + 3.10234i) q^{84} +(1.57382 - 0.421703i) q^{85} +(-0.861875 - 0.230939i) q^{86} +(-7.22867 + 1.73921i) q^{87} +(0.853620 - 0.492838i) q^{88} +(0.440877 + 1.64537i) q^{89} +(0.919169 + 1.79959i) q^{90} +(0.983920 + 6.38480i) q^{91} +(5.47852 + 3.16302i) q^{92} +(8.55361 + 5.23587i) q^{93} +3.79302 q^{94} +(2.20783 - 3.82407i) q^{95} +(1.73148 + 0.0444876i) q^{96} +(-1.35833 + 1.35833i) q^{97} +(3.66058 + 0.980849i) q^{98} +(1.98080 + 2.19555i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 8 q^{7} - 24 q^{11} + 28 q^{16} - 8 q^{19} - 24 q^{21} + 36 q^{27} - 4 q^{28} - 24 q^{30} - 4 q^{31} + 60 q^{33} - 24 q^{35} - 4 q^{37} + 36 q^{38} - 48 q^{41} - 36 q^{42} - 84 q^{45} - 36 q^{47} - 24 q^{50} + 8 q^{52} - 36 q^{54} + 36 q^{57} + 24 q^{60} - 48 q^{63} - 36 q^{65} + 28 q^{67} + 84 q^{69} - 24 q^{71} - 24 q^{72} + 28 q^{73} + 4 q^{76} + 24 q^{77} - 60 q^{78} - 24 q^{79} + 24 q^{81} - 96 q^{83} - 72 q^{85} + 4 q^{91} - 24 q^{92} - 36 q^{93} - 52 q^{97} + 48 q^{98} + 60 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).

\(n\) \(145\) \(209\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.66097 0.491112i −0.958959 0.283543i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.174335 0.650628i 0.0779651 0.290970i −0.915924 0.401351i \(-0.868541\pi\)
0.993889 + 0.110382i \(0.0352073\pi\)
\(6\) 0.904267 1.47726i 0.369165 0.603089i
\(7\) 1.26694 + 1.26694i 0.478859 + 0.478859i 0.904767 0.425907i \(-0.140045\pi\)
−0.425907 + 0.904767i \(0.640045\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.51762 + 1.63144i 0.839206 + 0.543813i
\(10\) 0.583337 + 0.336790i 0.184467 + 0.106502i
\(11\) 0.952090 + 0.255112i 0.287066 + 0.0769190i 0.399479 0.916743i \(-0.369191\pi\)
−0.112413 + 0.993662i \(0.535858\pi\)
\(12\) 1.19288 + 1.25580i 0.344356 + 0.362518i
\(13\) 2.90807 + 2.13146i 0.806554 + 0.591161i
\(14\) −1.55168 + 0.895864i −0.414704 + 0.239430i
\(15\) −0.609096 + 0.995053i −0.157268 + 0.256922i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 1.20946 + 2.09485i 0.293337 + 0.508075i 0.974597 0.223967i \(-0.0719009\pi\)
−0.681260 + 0.732042i \(0.738568\pi\)
\(18\) −2.22746 + 2.00959i −0.525017 + 0.473664i
\(19\) 6.33213 + 1.69669i 1.45269 + 0.389247i 0.896959 0.442114i \(-0.145771\pi\)
0.555732 + 0.831361i \(0.312438\pi\)
\(20\) −0.476293 + 0.476293i −0.106502 + 0.106502i
\(21\) −1.48214 2.72656i −0.323429 0.594984i
\(22\) −0.492838 + 0.853620i −0.105073 + 0.181992i
\(23\) −6.32605 −1.31907 −0.659536 0.751673i \(-0.729247\pi\)
−0.659536 + 0.751673i \(0.729247\pi\)
\(24\) −1.52175 + 0.827212i −0.310626 + 0.168854i
\(25\) 3.93720 + 2.27315i 0.787441 + 0.454629i
\(26\) −2.81150 + 2.25732i −0.551380 + 0.442696i
\(27\) −3.38046 3.94620i −0.650570 0.759446i
\(28\) −0.463733 1.73068i −0.0876374 0.327067i
\(29\) 3.71748 2.14629i 0.690318 0.398555i −0.113413 0.993548i \(-0.536178\pi\)
0.803731 + 0.594993i \(0.202845\pi\)
\(30\) −0.803502 0.845880i −0.146699 0.154436i
\(31\) −5.59289 1.49861i −1.00451 0.269158i −0.281178 0.959656i \(-0.590725\pi\)
−0.723335 + 0.690498i \(0.757392\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −1.45610 0.891314i −0.253475 0.155158i
\(34\) −2.33650 + 0.626062i −0.400706 + 0.107369i
\(35\) 1.04518 0.603436i 0.176668 0.101999i
\(36\) −1.36460 2.67168i −0.227434 0.445280i
\(37\) 6.83094 1.83034i 1.12300 0.300907i 0.350902 0.936412i \(-0.385875\pi\)
0.772096 + 0.635505i \(0.219208\pi\)
\(38\) −3.27775 + 5.67724i −0.531722 + 0.920969i
\(39\) −3.78342 4.96847i −0.605832 0.795592i
\(40\) −0.336790 0.583337i −0.0532512 0.0922337i
\(41\) −3.51849 3.51849i −0.549496 0.549496i 0.376799 0.926295i \(-0.377025\pi\)
−0.926295 + 0.376799i \(0.877025\pi\)
\(42\) 3.01726 0.725951i 0.465573 0.112017i
\(43\) 0.892279i 0.136071i 0.997683 + 0.0680356i \(0.0216731\pi\)
−0.997683 + 0.0680356i \(0.978327\pi\)
\(44\) −0.696978 0.696978i −0.105073 0.105073i
\(45\) 1.50037 1.35362i 0.223662 0.201785i
\(46\) 1.63730 6.11049i 0.241407 0.900943i
\(47\) −0.981707 3.66378i −0.143197 0.534417i −0.999829 0.0184899i \(-0.994114\pi\)
0.856632 0.515927i \(-0.172553\pi\)
\(48\) −0.405168 1.68399i −0.0584810 0.243064i
\(49\) 3.78971i 0.541387i
\(50\) −3.21471 + 3.21471i −0.454629 + 0.454629i
\(51\) −0.980069 4.07345i −0.137237 0.570397i
\(52\) −1.45273 3.29993i −0.201458 0.457619i
\(53\) 9.00014i 1.23626i 0.786074 + 0.618132i \(0.212110\pi\)
−0.786074 + 0.618132i \(0.787890\pi\)
\(54\) 4.68666 2.24392i 0.637774 0.305359i
\(55\) 0.331966 0.574981i 0.0447622 0.0775305i
\(56\) 1.79173 0.239430
\(57\) −9.68420 5.92793i −1.28270 0.785173i
\(58\) 1.11100 + 4.14631i 0.145881 + 0.544437i
\(59\) 1.22237 + 4.56196i 0.159139 + 0.593917i 0.998715 + 0.0506741i \(0.0161370\pi\)
−0.839576 + 0.543243i \(0.817196\pi\)
\(60\) 1.02502 0.557194i 0.132329 0.0719334i
\(61\) 4.76398 0.609965 0.304982 0.952358i \(-0.401349\pi\)
0.304982 + 0.952358i \(0.401349\pi\)
\(62\) 2.89509 5.01445i 0.367677 0.636835i
\(63\) 1.12274 + 5.25662i 0.141452 + 0.662272i
\(64\) 1.00000i 0.125000i
\(65\) 1.89377 1.52048i 0.234893 0.188593i
\(66\) 1.23781 1.17580i 0.152364 0.144730i
\(67\) −7.82927 + 7.82927i −0.956498 + 0.956498i −0.999092 0.0425948i \(-0.986438\pi\)
0.0425948 + 0.999092i \(0.486438\pi\)
\(68\) 2.41892i 0.293337i
\(69\) 10.5074 + 3.10679i 1.26494 + 0.374014i
\(70\) 0.312361 + 1.16575i 0.0373343 + 0.139334i
\(71\) 1.70900 6.37808i 0.202821 0.756939i −0.787281 0.616594i \(-0.788512\pi\)
0.990103 0.140345i \(-0.0448212\pi\)
\(72\) 2.93383 0.626624i 0.345755 0.0738483i
\(73\) −8.01788 8.01788i −0.938421 0.938421i 0.0597896 0.998211i \(-0.480957\pi\)
−0.998211 + 0.0597896i \(0.980957\pi\)
\(74\) 7.07190i 0.822092i
\(75\) −5.42319 5.70922i −0.626217 0.659244i
\(76\) −4.63544 4.63544i −0.531722 0.531722i
\(77\) 0.883031 + 1.52946i 0.100631 + 0.174298i
\(78\) 5.77840 2.36857i 0.654275 0.268188i
\(79\) −0.807117 + 1.39797i −0.0908078 + 0.157284i −0.907851 0.419292i \(-0.862278\pi\)
0.817043 + 0.576576i \(0.195612\pi\)
\(80\) 0.650628 0.174335i 0.0727424 0.0194913i
\(81\) 3.67681 + 8.21469i 0.408534 + 0.912743i
\(82\) 4.30925 2.48795i 0.475877 0.274748i
\(83\) −7.31055 + 1.95885i −0.802437 + 0.215012i −0.636653 0.771150i \(-0.719682\pi\)
−0.165783 + 0.986162i \(0.553015\pi\)
\(84\) −0.0797096 + 3.10234i −0.00869703 + 0.338493i
\(85\) 1.57382 0.421703i 0.170704 0.0457401i
\(86\) −0.861875 0.230939i −0.0929384 0.0249028i
\(87\) −7.22867 + 1.73921i −0.774995 + 0.186463i
\(88\) 0.853620 0.492838i 0.0909962 0.0525367i
\(89\) 0.440877 + 1.64537i 0.0467329 + 0.174409i 0.985348 0.170557i \(-0.0545568\pi\)
−0.938615 + 0.344967i \(0.887890\pi\)
\(90\) 0.919169 + 1.79959i 0.0968889 + 0.189693i
\(91\) 0.983920 + 6.38480i 0.103143 + 0.669309i
\(92\) 5.47852 + 3.16302i 0.571175 + 0.329768i
\(93\) 8.55361 + 5.23587i 0.886968 + 0.542935i
\(94\) 3.79302 0.391220
\(95\) 2.20783 3.82407i 0.226518 0.392341i
\(96\) 1.73148 + 0.0444876i 0.176718 + 0.00454049i
\(97\) −1.35833 + 1.35833i −0.137917 + 0.137917i −0.772695 0.634778i \(-0.781092\pi\)
0.634778 + 0.772695i \(0.281092\pi\)
\(98\) 3.66058 + 0.980849i 0.369774 + 0.0990807i
\(99\) 1.98080 + 2.19555i 0.199078 + 0.220661i
\(100\) −2.27315 3.93720i −0.227315 0.393720i
\(101\) −7.44597 12.8968i −0.740902 1.28328i −0.952085 0.305833i \(-0.901065\pi\)
0.211183 0.977446i \(-0.432268\pi\)
\(102\) 4.18831 + 0.107612i 0.414704 + 0.0106552i
\(103\) −9.08751 + 5.24668i −0.895419 + 0.516971i −0.875711 0.482835i \(-0.839607\pi\)
−0.0197081 + 0.999806i \(0.506274\pi\)
\(104\) 3.56349 0.549146i 0.349429 0.0538482i
\(105\) −2.03237 + 0.488986i −0.198339 + 0.0477202i
\(106\) −8.69347 2.32941i −0.844384 0.226252i
\(107\) 1.87899 + 1.08484i 0.181649 + 0.104875i 0.588067 0.808812i \(-0.299889\pi\)
−0.406418 + 0.913687i \(0.633222\pi\)
\(108\) 0.954467 + 5.10774i 0.0918436 + 0.491492i
\(109\) −8.28528 + 8.28528i −0.793586 + 0.793586i −0.982075 0.188489i \(-0.939641\pi\)
0.188489 + 0.982075i \(0.439641\pi\)
\(110\) 0.469470 + 0.469470i 0.0447622 + 0.0447622i
\(111\) −12.2449 0.314612i −1.16223 0.0298616i
\(112\) −0.463733 + 1.73068i −0.0438187 + 0.163534i
\(113\) 9.60049 + 5.54284i 0.903138 + 0.521427i 0.878217 0.478263i \(-0.158733\pi\)
0.0249209 + 0.999689i \(0.492067\pi\)
\(114\) 8.23240 7.81996i 0.771034 0.732406i
\(115\) −1.10285 + 4.11590i −0.102842 + 0.383810i
\(116\) −4.29257 −0.398555
\(117\) 3.84406 + 10.1105i 0.355384 + 0.934720i
\(118\) −4.72289 −0.434777
\(119\) −1.12173 + 4.18637i −0.102829 + 0.383764i
\(120\) 0.272913 + 1.13430i 0.0249134 + 0.103547i
\(121\) −8.68489 5.01422i −0.789535 0.455838i
\(122\) −1.23301 + 4.60165i −0.111631 + 0.416614i
\(123\) 4.11612 + 7.57206i 0.371138 + 0.682750i
\(124\) 4.09428 + 4.09428i 0.367677 + 0.367677i
\(125\) 4.54683 4.54683i 0.406681 0.406681i
\(126\) −5.36809 0.276031i −0.478228 0.0245908i
\(127\) 4.33197 + 2.50106i 0.384400 + 0.221933i 0.679731 0.733462i \(-0.262097\pi\)
−0.295331 + 0.955395i \(0.595430\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 0.438208 1.48204i 0.0385821 0.130487i
\(130\) 0.978531 + 2.22277i 0.0858229 + 0.194950i
\(131\) 19.0361 10.9905i 1.66319 0.960242i 0.692010 0.721888i \(-0.256725\pi\)
0.971178 0.238354i \(-0.0766080\pi\)
\(132\) 0.815363 + 1.49995i 0.0709682 + 0.130554i
\(133\) 5.87284 + 10.1721i 0.509240 + 0.882030i
\(134\) −5.53613 9.58886i −0.478249 0.828351i
\(135\) −3.15684 + 1.51146i −0.271698 + 0.130086i
\(136\) 2.33650 + 0.626062i 0.200353 + 0.0536844i
\(137\) −8.90180 + 8.90180i −0.760532 + 0.760532i −0.976419 0.215886i \(-0.930736\pi\)
0.215886 + 0.976419i \(0.430736\pi\)
\(138\) −5.72044 + 9.34522i −0.486956 + 0.795518i
\(139\) 9.84823 17.0576i 0.835316 1.44681i −0.0584566 0.998290i \(-0.518618\pi\)
0.893773 0.448520i \(-0.148049\pi\)
\(140\) −1.20687 −0.101999
\(141\) −0.168742 + 6.56754i −0.0142107 + 0.553087i
\(142\) 5.71843 + 3.30154i 0.479880 + 0.277059i
\(143\) 2.22498 + 2.77122i 0.186062 + 0.231741i
\(144\) −0.154059 + 2.99604i −0.0128382 + 0.249670i
\(145\) −0.748347 2.79287i −0.0621468 0.231935i
\(146\) 9.81985 5.66949i 0.812697 0.469211i
\(147\) −1.86117 + 6.29458i −0.153507 + 0.519168i
\(148\) −6.83094 1.83034i −0.561499 0.150453i
\(149\) −9.34027 + 2.50272i −0.765185 + 0.205031i −0.620243 0.784410i \(-0.712966\pi\)
−0.144942 + 0.989440i \(0.546299\pi\)
\(150\) 6.91831 3.76075i 0.564878 0.307064i
\(151\) 4.80308 1.28698i 0.390869 0.104733i −0.0580316 0.998315i \(-0.518482\pi\)
0.448900 + 0.893582i \(0.351816\pi\)
\(152\) 5.67724 3.27775i 0.460485 0.265861i
\(153\) −0.372655 + 7.24718i −0.0301274 + 0.585900i
\(154\) −1.70589 + 0.457091i −0.137464 + 0.0368334i
\(155\) −1.95008 + 3.37763i −0.156634 + 0.271298i
\(156\) 0.792304 + 6.19453i 0.0634351 + 0.495960i
\(157\) −4.86181 8.42090i −0.388015 0.672061i 0.604168 0.796857i \(-0.293506\pi\)
−0.992182 + 0.124796i \(0.960172\pi\)
\(158\) −1.14144 1.14144i −0.0908078 0.0908078i
\(159\) 4.42007 14.9489i 0.350535 1.18553i
\(160\) 0.673580i 0.0532512i
\(161\) −8.01474 8.01474i −0.631650 0.631650i
\(162\) −8.88641 + 1.42541i −0.698182 + 0.111991i
\(163\) 1.24717 4.65451i 0.0976861 0.364570i −0.899727 0.436453i \(-0.856234\pi\)
0.997413 + 0.0718838i \(0.0229011\pi\)
\(164\) 1.28786 + 4.80634i 0.100565 + 0.375312i
\(165\) −0.833764 + 0.791992i −0.0649084 + 0.0616565i
\(166\) 7.56843i 0.587424i
\(167\) 10.0054 10.0054i 0.774242 0.774242i −0.204603 0.978845i \(-0.565590\pi\)
0.978845 + 0.204603i \(0.0655903\pi\)
\(168\) −2.97600 0.879938i −0.229603 0.0678887i
\(169\) 3.91375 + 12.3969i 0.301058 + 0.953606i
\(170\) 1.62934i 0.124964i
\(171\) 13.1739 + 14.6021i 1.00743 + 1.11665i
\(172\) 0.446139 0.772736i 0.0340178 0.0589206i
\(173\) 23.1979 1.76370 0.881852 0.471527i \(-0.156297\pi\)
0.881852 + 0.471527i \(0.156297\pi\)
\(174\) 0.190966 7.43250i 0.0144771 0.563456i
\(175\) 2.10827 + 7.86816i 0.159370 + 0.594777i
\(176\) 0.255112 + 0.952090i 0.0192298 + 0.0717664i
\(177\) 0.210110 8.17759i 0.0157928 0.614665i
\(178\) −1.70342 −0.127677
\(179\) 2.78545 4.82455i 0.208194 0.360603i −0.742951 0.669345i \(-0.766575\pi\)
0.951146 + 0.308742i \(0.0999080\pi\)
\(180\) −1.97617 + 0.422081i −0.147295 + 0.0314601i
\(181\) 20.8410i 1.54910i −0.632514 0.774549i \(-0.717977\pi\)
0.632514 0.774549i \(-0.282023\pi\)
\(182\) −6.42190 0.702114i −0.476023 0.0520441i
\(183\) −7.91281 2.33964i −0.584931 0.172951i
\(184\) −4.47319 + 4.47319i −0.329768 + 0.329768i
\(185\) 4.76349i 0.350219i
\(186\) −7.27130 + 6.90701i −0.533158 + 0.506447i
\(187\) 0.617094 + 2.30303i 0.0451264 + 0.168414i
\(188\) −0.981707 + 3.66378i −0.0715983 + 0.267209i
\(189\) 0.716755 9.28246i 0.0521363 0.675200i
\(190\) 3.12234 + 3.12234i 0.226518 + 0.226518i
\(191\) 18.0727i 1.30769i −0.756626 0.653847i \(-0.773154\pi\)
0.756626 0.653847i \(-0.226846\pi\)
\(192\) −0.491112 + 1.66097i −0.0354429 + 0.119870i
\(193\) 5.20610 + 5.20610i 0.374743 + 0.374743i 0.869201 0.494458i \(-0.164634\pi\)
−0.494458 + 0.869201i \(0.664634\pi\)
\(194\) −0.960483 1.66361i −0.0689587 0.119440i
\(195\) −3.89221 + 1.59542i −0.278727 + 0.114250i
\(196\) −1.89486 + 3.28199i −0.135347 + 0.234428i
\(197\) −23.6473 + 6.33628i −1.68480 + 0.451441i −0.969040 0.246904i \(-0.920587\pi\)
−0.715761 + 0.698345i \(0.753920\pi\)
\(198\) −2.63341 + 1.34506i −0.187148 + 0.0955889i
\(199\) −6.97794 + 4.02871i −0.494653 + 0.285588i −0.726503 0.687164i \(-0.758856\pi\)
0.231850 + 0.972752i \(0.425522\pi\)
\(200\) 4.39138 1.17667i 0.310517 0.0832029i
\(201\) 16.8492 9.15911i 1.18845 0.646034i
\(202\) 14.3845 3.85432i 1.01209 0.271189i
\(203\) 7.42905 + 1.99061i 0.521417 + 0.139713i
\(204\) −1.18796 + 4.01774i −0.0831738 + 0.281298i
\(205\) −2.90262 + 1.67583i −0.202728 + 0.117045i
\(206\) −2.71588 10.1358i −0.189224 0.706195i
\(207\) −15.9266 10.3206i −1.10697 0.717329i
\(208\) −0.391864 + 3.58419i −0.0271709 + 0.248519i
\(209\) 5.59591 + 3.23080i 0.387077 + 0.223479i
\(210\) 0.0536908 2.08967i 0.00370502 0.144201i
\(211\) −14.0818 −0.969432 −0.484716 0.874672i \(-0.661077\pi\)
−0.484716 + 0.874672i \(0.661077\pi\)
\(212\) 4.50007 7.79435i 0.309066 0.535318i
\(213\) −5.97094 + 9.75447i −0.409122 + 0.668365i
\(214\) −1.53419 + 1.53419i −0.104875 + 0.104875i
\(215\) 0.580542 + 0.155556i 0.0395926 + 0.0106088i
\(216\) −5.18073 0.400036i −0.352504 0.0272190i
\(217\) −5.18722 8.98452i −0.352131 0.609909i
\(218\) −5.85858 10.1474i −0.396793 0.687265i
\(219\) 9.37975 + 17.2551i 0.633825 + 1.16599i
\(220\) −0.574981 + 0.331966i −0.0387652 + 0.0223811i
\(221\) −0.947887 + 8.66987i −0.0637618 + 0.583199i
\(222\) 3.47309 11.7462i 0.233099 0.788353i
\(223\) −22.9327 6.14479i −1.53568 0.411485i −0.610816 0.791773i \(-0.709158\pi\)
−0.924868 + 0.380287i \(0.875825\pi\)
\(224\) −1.55168 0.895864i −0.103676 0.0598574i
\(225\) 6.20388 + 12.1462i 0.413592 + 0.809748i
\(226\) −7.83876 + 7.83876i −0.521427 + 0.521427i
\(227\) −16.9292 16.9292i −1.12363 1.12363i −0.991191 0.132438i \(-0.957719\pi\)
−0.132438 0.991191i \(-0.542281\pi\)
\(228\) 5.42280 + 9.97584i 0.359134 + 0.660666i
\(229\) 5.31509 19.8362i 0.351231 1.31081i −0.533930 0.845529i \(-0.679286\pi\)
0.885161 0.465284i \(-0.154048\pi\)
\(230\) −3.69022 2.13055i −0.243326 0.140484i
\(231\) −0.715552 2.97404i −0.0470799 0.195677i
\(232\) 1.11100 4.14631i 0.0729407 0.272218i
\(233\) −2.79071 −0.182825 −0.0914126 0.995813i \(-0.529138\pi\)
−0.0914126 + 0.995813i \(0.529138\pi\)
\(234\) −10.7610 + 1.09628i −0.703466 + 0.0716660i
\(235\) −2.55490 −0.166664
\(236\) 1.22237 4.56196i 0.0795697 0.296958i
\(237\) 2.02715 1.92559i 0.131678 0.125081i
\(238\) −3.75339 2.16702i −0.243296 0.140467i
\(239\) 2.03334 7.58852i 0.131526 0.490861i −0.868462 0.495755i \(-0.834891\pi\)
0.999988 + 0.00489453i \(0.00155798\pi\)
\(240\) −1.16629 0.0299659i −0.0752837 0.00193429i
\(241\) −16.4615 16.4615i −1.06038 1.06038i −0.998056 0.0623240i \(-0.980149\pi\)
−0.0623240 0.998056i \(-0.519851\pi\)
\(242\) 7.09118 7.09118i 0.455838 0.455838i
\(243\) −2.07273 15.4500i −0.132966 0.991121i
\(244\) −4.12572 2.38199i −0.264122 0.152491i
\(245\) −2.46569 0.660680i −0.157527 0.0422093i
\(246\) −8.37938 + 2.01607i −0.534250 + 0.128540i
\(247\) 14.7979 + 18.4308i 0.941566 + 1.17272i
\(248\) −5.01445 + 2.89509i −0.318418 + 0.183839i
\(249\) 13.1046 + 0.336701i 0.830469 + 0.0213376i
\(250\) 3.21509 + 5.56871i 0.203340 + 0.352196i
\(251\) 13.0241 + 22.5583i 0.822071 + 1.42387i 0.904138 + 0.427241i \(0.140515\pi\)
−0.0820668 + 0.996627i \(0.526152\pi\)
\(252\) 1.65599 5.11374i 0.104318 0.322135i
\(253\) −6.02296 1.61385i −0.378660 0.101462i
\(254\) −3.53704 + 3.53704i −0.221933 + 0.221933i
\(255\) −2.82116 0.0724851i −0.176668 0.00453920i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −7.20155 −0.449220 −0.224610 0.974449i \(-0.572111\pi\)
−0.224610 + 0.974449i \(0.572111\pi\)
\(258\) 1.31813 + 0.806858i 0.0820631 + 0.0502328i
\(259\) 10.9733 + 6.33546i 0.681851 + 0.393667i
\(260\) −2.40029 + 0.369894i −0.148860 + 0.0229398i
\(261\) 12.8607 + 0.661308i 0.796059 + 0.0409339i
\(262\) 5.68909 + 21.2320i 0.351473 + 1.31172i
\(263\) 9.92027 5.72747i 0.611710 0.353171i −0.161924 0.986803i \(-0.551770\pi\)
0.773634 + 0.633632i \(0.218437\pi\)
\(264\) −1.65987 + 0.399364i −0.102158 + 0.0245792i
\(265\) 5.85574 + 1.56904i 0.359715 + 0.0963855i
\(266\) −11.3455 + 3.04001i −0.695635 + 0.186395i
\(267\) 0.0757809 2.94943i 0.00463771 0.180502i
\(268\) 10.6950 2.86571i 0.653300 0.175051i
\(269\) −21.7795 + 12.5744i −1.32792 + 0.766674i −0.984977 0.172683i \(-0.944756\pi\)
−0.342941 + 0.939357i \(0.611423\pi\)
\(270\) −0.642910 3.44047i −0.0391262 0.209380i
\(271\) 6.17248 1.65391i 0.374952 0.100468i −0.0664215 0.997792i \(-0.521158\pi\)
0.441373 + 0.897324i \(0.354492\pi\)
\(272\) −1.20946 + 2.09485i −0.0733343 + 0.127019i
\(273\) 1.50139 11.0882i 0.0908683 0.671085i
\(274\) −6.29452 10.9024i −0.380266 0.658640i
\(275\) 3.16866 + 3.16866i 0.191078 + 0.191078i
\(276\) −7.54624 7.94424i −0.454230 0.478187i
\(277\) 19.4429i 1.16821i −0.811679 0.584104i \(-0.801446\pi\)
0.811679 0.584104i \(-0.198554\pi\)
\(278\) 13.9275 + 13.9275i 0.835316 + 0.835316i
\(279\) −11.6359 12.8974i −0.696621 0.772146i
\(280\) 0.312361 1.16575i 0.0186672 0.0696668i
\(281\) 7.71478 + 28.7919i 0.460225 + 1.71758i 0.672255 + 0.740320i \(0.265326\pi\)
−0.212030 + 0.977263i \(0.568007\pi\)
\(282\) −6.30008 1.86280i −0.375165 0.110928i
\(283\) 22.0759i 1.31228i 0.754640 + 0.656139i \(0.227812\pi\)
−0.754640 + 0.656139i \(0.772188\pi\)
\(284\) −4.66908 + 4.66908i −0.277059 + 0.277059i
\(285\) −5.54518 + 5.26736i −0.328468 + 0.312012i
\(286\) −3.25267 + 1.43192i −0.192334 + 0.0846714i
\(287\) 8.91545i 0.526262i
\(288\) −2.85408 0.924242i −0.168178 0.0544615i
\(289\) 5.57442 9.65517i 0.327907 0.567951i
\(290\) 2.89139 0.169788
\(291\) 2.92323 1.58905i 0.171363 0.0931516i
\(292\) 2.93475 + 10.9526i 0.171743 + 0.640954i
\(293\) 2.45563 + 9.16452i 0.143459 + 0.535397i 0.999819 + 0.0190176i \(0.00605386\pi\)
−0.856360 + 0.516379i \(0.827279\pi\)
\(294\) −5.59839 3.42691i −0.326505 0.199861i
\(295\) 3.18124 0.185219
\(296\) 3.53595 6.12445i 0.205523 0.355976i
\(297\) −2.21178 4.61953i −0.128341 0.268052i
\(298\) 9.66976i 0.560154i
\(299\) −18.3966 13.4837i −1.06390 0.779784i
\(300\) 1.84201 + 7.65593i 0.106349 + 0.442015i
\(301\) −1.13047 + 1.13047i −0.0651590 + 0.0651590i
\(302\) 4.97251i 0.286136i
\(303\) 6.03374 + 25.0780i 0.346629 + 1.44069i
\(304\) 1.69669 + 6.33213i 0.0973119 + 0.363173i
\(305\) 0.830529 3.09958i 0.0475560 0.177481i
\(306\) −6.90379 2.23567i −0.394663 0.127805i
\(307\) 3.35703 + 3.35703i 0.191596 + 0.191596i 0.796385 0.604790i \(-0.206743\pi\)
−0.604790 + 0.796385i \(0.706743\pi\)
\(308\) 1.76606i 0.100631i
\(309\) 17.6708 4.25157i 1.00525 0.241864i
\(310\) −2.75782 2.75782i −0.156634 0.156634i
\(311\) 10.5634 + 18.2964i 0.598996 + 1.03749i 0.992970 + 0.118370i \(0.0377669\pi\)
−0.393973 + 0.919122i \(0.628900\pi\)
\(312\) −6.18852 0.837956i −0.350356 0.0474399i
\(313\) −5.16590 + 8.94760i −0.291994 + 0.505748i −0.974281 0.225336i \(-0.927652\pi\)
0.682287 + 0.731084i \(0.260985\pi\)
\(314\) 9.39229 2.51666i 0.530038 0.142023i
\(315\) 3.61584 + 0.185929i 0.203729 + 0.0104759i
\(316\) 1.39797 0.807117i 0.0786419 0.0454039i
\(317\) −16.1862 + 4.33708i −0.909108 + 0.243595i −0.682924 0.730490i \(-0.739292\pi\)
−0.226185 + 0.974084i \(0.572625\pi\)
\(318\) 13.2956 + 8.13853i 0.745578 + 0.456386i
\(319\) 4.08691 1.09509i 0.228823 0.0613130i
\(320\) −0.650628 0.174335i −0.0363712 0.00974564i
\(321\) −2.58817 2.72467i −0.144457 0.152076i
\(322\) 9.81601 5.66728i 0.547025 0.315825i
\(323\) 4.10416 + 15.3169i 0.228361 + 0.852256i
\(324\) 0.923132 8.95253i 0.0512851 0.497363i
\(325\) 6.60454 + 15.0025i 0.366354 + 0.832187i
\(326\) 4.17312 + 2.40935i 0.231128 + 0.133442i
\(327\) 17.8306 9.69257i 0.986033 0.536001i
\(328\) −4.97589 −0.274748
\(329\) 3.39803 5.88557i 0.187340 0.324482i
\(330\) −0.549212 1.01034i −0.0302331 0.0556172i
\(331\) 10.4331 10.4331i 0.573455 0.573455i −0.359637 0.933092i \(-0.617100\pi\)
0.933092 + 0.359637i \(0.117100\pi\)
\(332\) 7.31055 + 1.95885i 0.401218 + 0.107506i
\(333\) 20.1838 + 6.53615i 1.10606 + 0.358179i
\(334\) 7.07490 + 12.2541i 0.387121 + 0.670513i
\(335\) 3.72903 + 6.45886i 0.203738 + 0.352885i
\(336\) 1.62020 2.64685i 0.0883892 0.144398i
\(337\) −3.36489 + 1.94272i −0.183297 + 0.105827i −0.588841 0.808249i \(-0.700416\pi\)
0.405544 + 0.914076i \(0.367082\pi\)
\(338\) −12.9874 + 0.571843i −0.706422 + 0.0311042i
\(339\) −13.2239 13.9214i −0.718225 0.756106i
\(340\) −1.57382 0.421703i −0.0853522 0.0228701i
\(341\) −4.94262 2.85362i −0.267658 0.154532i
\(342\) −17.5142 + 8.94566i −0.947060 + 0.483726i
\(343\) 13.6699 13.6699i 0.738108 0.738108i
\(344\) 0.630936 + 0.630936i 0.0340178 + 0.0340178i
\(345\) 3.85317 6.29475i 0.207448 0.338898i
\(346\) −6.00406 + 22.4074i −0.322780 + 1.20463i
\(347\) 27.9881 + 16.1590i 1.50248 + 0.867459i 0.999996 + 0.00287338i \(0.000914625\pi\)
0.502486 + 0.864585i \(0.332419\pi\)
\(348\) 7.12982 + 2.10813i 0.382198 + 0.113008i
\(349\) 4.90845 18.3186i 0.262743 0.980571i −0.700874 0.713285i \(-0.747207\pi\)
0.963617 0.267286i \(-0.0861268\pi\)
\(350\) −8.14572 −0.435407
\(351\) −1.41946 18.6811i −0.0757649 0.997126i
\(352\) −0.985676 −0.0525367
\(353\) 5.07215 18.9295i 0.269963 1.00752i −0.689178 0.724592i \(-0.742028\pi\)
0.959142 0.282926i \(-0.0913050\pi\)
\(354\) 7.84456 + 2.31947i 0.416934 + 0.123278i
\(355\) −3.85182 2.22385i −0.204433 0.118030i
\(356\) 0.440877 1.64537i 0.0233664 0.0872047i
\(357\) 3.91913 6.40252i 0.207423 0.338857i
\(358\) 3.93922 + 3.93922i 0.208194 + 0.208194i
\(359\) −19.2085 + 19.2085i −1.01379 + 1.01379i −0.0138835 + 0.999904i \(0.504419\pi\)
−0.999904 + 0.0138835i \(0.995581\pi\)
\(360\) 0.103771 2.01807i 0.00546920 0.106362i
\(361\) 20.7627 + 11.9873i 1.09277 + 0.630913i
\(362\) 20.1308 + 5.39404i 1.05805 + 0.283504i
\(363\) 11.9628 + 12.5937i 0.627882 + 0.660998i
\(364\) 2.34030 6.02136i 0.122665 0.315605i
\(365\) −6.61445 + 3.81886i −0.346216 + 0.199888i
\(366\) 4.30791 7.03764i 0.225178 0.367863i
\(367\) −3.84715 6.66345i −0.200819 0.347829i 0.747973 0.663729i \(-0.231027\pi\)
−0.948793 + 0.315899i \(0.897694\pi\)
\(368\) −3.16302 5.47852i −0.164884 0.285587i
\(369\) −3.11801 14.5984i −0.162317 0.759963i
\(370\) 4.60118 + 1.23288i 0.239204 + 0.0640945i
\(371\) −11.4027 + 11.4027i −0.591997 + 0.591997i
\(372\) −4.78971 8.81121i −0.248335 0.456840i
\(373\) 8.04898 13.9412i 0.416760 0.721850i −0.578851 0.815433i \(-0.696499\pi\)
0.995611 + 0.0935830i \(0.0298321\pi\)
\(374\) −2.38427 −0.123288
\(375\) −9.78513 + 5.31913i −0.505302 + 0.274679i
\(376\) −3.28485 1.89651i −0.169403 0.0978051i
\(377\) 15.3854 + 1.68210i 0.792389 + 0.0866328i
\(378\) 8.78066 + 3.09481i 0.451628 + 0.159180i
\(379\) 6.71919 + 25.0764i 0.345142 + 1.28809i 0.892446 + 0.451153i \(0.148987\pi\)
−0.547305 + 0.836933i \(0.684346\pi\)
\(380\) −3.82407 + 2.20783i −0.196171 + 0.113259i
\(381\) −5.96695 6.28166i −0.305696 0.321819i
\(382\) 17.4569 + 4.67756i 0.893172 + 0.239325i
\(383\) −30.3863 + 8.14198i −1.55267 + 0.416036i −0.930333 0.366716i \(-0.880482\pi\)
−0.622334 + 0.782752i \(0.713815\pi\)
\(384\) −1.47726 0.904267i −0.0753862 0.0461457i
\(385\) 1.14905 0.307887i 0.0585610 0.0156914i
\(386\) −6.37614 + 3.68127i −0.324537 + 0.187372i
\(387\) −1.45570 + 2.24642i −0.0739973 + 0.114192i
\(388\) 1.85551 0.497183i 0.0941993 0.0252406i
\(389\) −12.6984 + 21.9943i −0.643836 + 1.11516i 0.340733 + 0.940160i \(0.389325\pi\)
−0.984569 + 0.174997i \(0.944009\pi\)
\(390\) −0.533680 4.17251i −0.0270239 0.211283i
\(391\) −7.65110 13.2521i −0.386933 0.670187i
\(392\) −2.67973 2.67973i −0.135347 0.135347i
\(393\) −37.0158 + 8.90598i −1.86720 + 0.449247i
\(394\) 24.4815i 1.23336i
\(395\) 0.768848 + 0.768848i 0.0386850 + 0.0386850i
\(396\) −0.617648 2.89180i −0.0310380 0.145319i
\(397\) 0.337126 1.25817i 0.0169199 0.0631458i −0.956950 0.290254i \(-0.906260\pi\)
0.973870 + 0.227108i \(0.0729270\pi\)
\(398\) −2.08542 7.78288i −0.104532 0.390120i
\(399\) −4.75898 19.7797i −0.238247 0.990222i
\(400\) 4.54629i 0.227315i
\(401\) 1.01652 1.01652i 0.0507627 0.0507627i −0.681270 0.732032i \(-0.738572\pi\)
0.732032 + 0.681270i \(0.238572\pi\)
\(402\) 4.48613 + 18.6456i 0.223748 + 0.929960i
\(403\) −13.0703 16.2791i −0.651077 0.810919i
\(404\) 14.8919i 0.740902i
\(405\) 5.98570 0.960127i 0.297432 0.0477091i
\(406\) −3.84556 + 6.66071i −0.190852 + 0.330565i
\(407\) 6.97060 0.345520
\(408\) −3.57338 2.18735i −0.176908 0.108290i
\(409\) 5.94553 + 22.1890i 0.293987 + 1.09718i 0.942018 + 0.335562i \(0.108926\pi\)
−0.648031 + 0.761614i \(0.724407\pi\)
\(410\) −0.867474 3.23746i −0.0428415 0.159887i
\(411\) 19.1574 10.4138i 0.944963 0.513676i
\(412\) 10.4934 0.516971
\(413\) −4.23107 + 7.32842i −0.208197 + 0.360608i
\(414\) 14.0910 12.7127i 0.692535 0.624797i
\(415\) 5.09794i 0.250248i
\(416\) −3.36064 1.30617i −0.164769 0.0640402i
\(417\) −24.7348 + 23.4956i −1.21127 + 1.15058i
\(418\) −4.56904 + 4.56904i −0.223479 + 0.223479i
\(419\) 6.60549i 0.322699i 0.986897 + 0.161350i \(0.0515847\pi\)
−0.986897 + 0.161350i \(0.948415\pi\)
\(420\) 2.00457 + 0.592709i 0.0978132 + 0.0289212i
\(421\) −2.43480 9.08681i −0.118665 0.442864i 0.880870 0.473359i \(-0.156958\pi\)
−0.999535 + 0.0304944i \(0.990292\pi\)
\(422\) 3.64464 13.6020i 0.177418 0.662134i
\(423\) 3.50567 10.8256i 0.170452 0.526358i
\(424\) 6.36406 + 6.36406i 0.309066 + 0.309066i
\(425\) 10.9971i 0.533438i
\(426\) −7.87670 8.29213i −0.381627 0.401755i
\(427\) 6.03569 + 6.03569i 0.292087 + 0.292087i
\(428\) −1.08484 1.87899i −0.0524376 0.0908246i
\(429\) −2.33464 5.69563i −0.112718 0.274987i
\(430\) −0.300510 + 0.520499i −0.0144919 + 0.0251007i
\(431\) 1.92865 0.516780i 0.0928998 0.0248924i −0.212070 0.977255i \(-0.568020\pi\)
0.304970 + 0.952362i \(0.401354\pi\)
\(432\) 1.72728 4.90066i 0.0831036 0.235783i
\(433\) −27.7623 + 16.0286i −1.33417 + 0.770285i −0.985936 0.167122i \(-0.946553\pi\)
−0.348236 + 0.937407i \(0.613219\pi\)
\(434\) 10.0209 2.68510i 0.481020 0.128889i
\(435\) −0.128631 + 5.00638i −0.00616738 + 0.240038i
\(436\) 11.3179 3.03262i 0.542029 0.145236i
\(437\) −40.0574 10.7333i −1.91620 0.513445i
\(438\) −19.0948 + 4.59420i −0.912385 + 0.219519i
\(439\) −22.6287 + 13.0647i −1.08001 + 0.623542i −0.930898 0.365278i \(-0.880974\pi\)
−0.149109 + 0.988821i \(0.547640\pi\)
\(440\) −0.171838 0.641308i −0.00819206 0.0305732i
\(441\) 6.18268 9.54105i 0.294414 0.454336i
\(442\) −8.12912 3.15952i −0.386663 0.150283i
\(443\) 9.85727 + 5.69110i 0.468333 + 0.270392i 0.715542 0.698570i \(-0.246180\pi\)
−0.247209 + 0.968962i \(0.579513\pi\)
\(444\) 10.4471 + 6.39489i 0.495795 + 0.303488i
\(445\) 1.14739 0.0543914
\(446\) 11.8708 20.5609i 0.562099 0.973585i
\(447\) 16.7430 + 0.430184i 0.791916 + 0.0203470i
\(448\) 1.26694 1.26694i 0.0598574 0.0598574i
\(449\) −13.3760 3.58409i −0.631253 0.169144i −0.0710148 0.997475i \(-0.522624\pi\)
−0.560238 + 0.828331i \(0.689290\pi\)
\(450\) −13.3380 + 2.84881i −0.628761 + 0.134294i
\(451\) −2.45231 4.24752i −0.115475 0.200008i
\(452\) −5.54284 9.60049i −0.260713 0.451569i
\(453\) −8.60980 0.221215i −0.404524 0.0103936i
\(454\) 20.7339 11.9707i 0.973092 0.561815i
\(455\) 4.32566 + 0.472930i 0.202790 + 0.0221713i
\(456\) −11.0394 + 2.65608i −0.516969 + 0.124382i
\(457\) −32.5303 8.71648i −1.52171 0.407740i −0.601402 0.798946i \(-0.705391\pi\)
−0.920303 + 0.391207i \(0.872058\pi\)
\(458\) 17.7846 + 10.2680i 0.831022 + 0.479791i
\(459\) 4.17814 11.8543i 0.195019 0.553312i
\(460\) 3.01305 3.01305i 0.140484 0.140484i
\(461\) 6.35961 + 6.35961i 0.296196 + 0.296196i 0.839522 0.543326i \(-0.182835\pi\)
−0.543326 + 0.839522i \(0.682835\pi\)
\(462\) 3.05790 + 0.0785678i 0.142266 + 0.00365531i
\(463\) 4.90786 18.3164i 0.228087 0.851234i −0.753057 0.657956i \(-0.771421\pi\)
0.981144 0.193278i \(-0.0619120\pi\)
\(464\) 3.71748 + 2.14629i 0.172580 + 0.0996388i
\(465\) 4.89780 4.65242i 0.227130 0.215751i
\(466\) 0.722288 2.69562i 0.0334593 0.124872i
\(467\) 33.1417 1.53362 0.766808 0.641877i \(-0.221844\pi\)
0.766808 + 0.641877i \(0.221844\pi\)
\(468\) 1.72622 10.6780i 0.0797944 0.493592i
\(469\) −19.8385 −0.916056
\(470\) 0.661258 2.46785i 0.0305015 0.113833i
\(471\) 3.93970 + 16.3745i 0.181532 + 0.754498i
\(472\) 4.09014 + 2.36144i 0.188264 + 0.108694i
\(473\) −0.227631 + 0.849529i −0.0104665 + 0.0390614i
\(474\) 1.33531 + 2.45646i 0.0613330 + 0.112829i
\(475\) 21.0741 + 21.0741i 0.966945 + 0.966945i
\(476\) 3.06463 3.06463i 0.140467 0.140467i
\(477\) −14.6832 + 22.6589i −0.672297 + 1.03748i
\(478\) 6.80368 + 3.92811i 0.311193 + 0.179667i
\(479\) −29.7832 7.98038i −1.36083 0.364633i −0.496707 0.867918i \(-0.665458\pi\)
−0.864120 + 0.503285i \(0.832124\pi\)
\(480\) 0.330803 1.11879i 0.0150990 0.0510657i
\(481\) 23.7661 + 9.23710i 1.08364 + 0.421176i
\(482\) 20.1612 11.6401i 0.918316 0.530190i
\(483\) 9.37608 + 17.2483i 0.426627 + 0.784827i
\(484\) 5.01422 + 8.68489i 0.227919 + 0.394768i
\(485\) 0.646962 + 1.12057i 0.0293770 + 0.0508825i
\(486\) 15.4601 + 1.99666i 0.701282 + 0.0905703i
\(487\) −19.5417 5.23619i −0.885520 0.237274i −0.212733 0.977110i \(-0.568236\pi\)
−0.672787 + 0.739836i \(0.734903\pi\)
\(488\) 3.36864 3.36864i 0.152491 0.152491i
\(489\) −4.35740 + 7.11849i −0.197048 + 0.321909i
\(490\) 1.27634 2.21068i 0.0576590 0.0998683i
\(491\) −15.1024 −0.681562 −0.340781 0.940143i \(-0.610691\pi\)
−0.340781 + 0.940143i \(0.610691\pi\)
\(492\) 0.221365 8.61566i 0.00997992 0.388424i
\(493\) 8.99228 + 5.19169i 0.404992 + 0.233822i
\(494\) −21.6327 + 9.52340i −0.973303 + 0.428478i
\(495\) 1.77381 0.906002i 0.0797268 0.0407218i
\(496\) −1.49861 5.59289i −0.0672896 0.251128i
\(497\) 10.2459 5.91546i 0.459590 0.265345i
\(498\) −3.71694 + 12.5709i −0.166560 + 0.563316i
\(499\) 40.4871 + 10.8485i 1.81245 + 0.485645i 0.995805 0.0914956i \(-0.0291647\pi\)
0.816645 + 0.577140i \(0.195831\pi\)
\(500\) −6.21109 + 1.66426i −0.277768 + 0.0744278i
\(501\) −21.5324 + 11.7049i −0.961998 + 0.522936i
\(502\) −25.1605 + 6.74174i −1.12297 + 0.300899i
\(503\) 10.9025 6.29458i 0.486120 0.280661i −0.236843 0.971548i \(-0.576113\pi\)
0.722963 + 0.690886i \(0.242780\pi\)
\(504\) 4.51089 + 2.92310i 0.200931 + 0.130205i
\(505\) −9.68912 + 2.59619i −0.431160 + 0.115529i
\(506\) 3.11771 5.40004i 0.138599 0.240061i
\(507\) −0.412356 22.5129i −0.0183134 0.999832i
\(508\) −2.50106 4.33197i −0.110967 0.192200i
\(509\) −23.4868 23.4868i −1.04103 1.04103i −0.999121 0.0419113i \(-0.986655\pi\)
−0.0419113 0.999121i \(-0.513345\pi\)
\(510\) 0.800185 2.70627i 0.0354328 0.119836i
\(511\) 20.3164i 0.898744i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −14.7101 30.7235i −0.649465 1.35647i
\(514\) 1.86390 6.95616i 0.0822130 0.306823i
\(515\) 1.82936 + 6.82727i 0.0806113 + 0.300846i
\(516\) −1.12052 + 1.06438i −0.0493282 + 0.0468569i
\(517\) 3.73869i 0.164427i
\(518\) −8.95970 + 8.95970i −0.393667 + 0.393667i
\(519\) −38.5309 11.3928i −1.69132 0.500086i
\(520\) 0.263952 2.41424i 0.0115750 0.105871i
\(521\) 17.5549i 0.769094i −0.923105 0.384547i \(-0.874358\pi\)
0.923105 0.384547i \(-0.125642\pi\)
\(522\) −3.96738 + 12.2514i −0.173647 + 0.536227i
\(523\) −4.19432 + 7.26477i −0.183405 + 0.317666i −0.943038 0.332686i \(-0.892045\pi\)
0.759633 + 0.650352i \(0.225379\pi\)
\(524\) −21.9809 −0.960242
\(525\) 0.362383 14.1041i 0.0158157 0.615555i
\(526\) 2.96476 + 11.0646i 0.129270 + 0.482440i
\(527\) −3.62502 13.5287i −0.157908 0.589321i
\(528\) 0.0438503 1.70668i 0.00190834 0.0742736i
\(529\) 17.0189 0.739951
\(530\) −3.03116 + 5.25012i −0.131665 + 0.228050i
\(531\) −4.36509 + 13.4795i −0.189429 + 0.584961i
\(532\) 11.7457i 0.509240i
\(533\) −2.73249 17.7315i −0.118357 0.768038i
\(534\) 2.82932 + 0.836568i 0.122437 + 0.0362018i
\(535\) 1.03340 1.03340i 0.0446778 0.0446778i
\(536\) 11.0723i 0.478249i
\(537\) −6.99593 + 6.64544i −0.301897 + 0.286772i
\(538\) −6.50898 24.2918i −0.280622 1.04730i
\(539\) 0.966799 3.60814i 0.0416430 0.155414i
\(540\) 3.48964 + 0.269456i 0.150170 + 0.0115955i
\(541\) 1.43745 + 1.43745i 0.0618007 + 0.0618007i 0.737332 0.675531i \(-0.236086\pi\)
−0.675531 + 0.737332i \(0.736086\pi\)
\(542\) 6.39022i 0.274484i
\(543\) −10.2352 + 34.6162i −0.439236 + 1.48552i
\(544\) −1.71043 1.71043i −0.0733343 0.0733343i
\(545\) 3.94622 + 6.83505i 0.169037 + 0.292781i
\(546\) 10.3217 + 4.32006i 0.441730 + 0.184881i
\(547\) 5.93332 10.2768i 0.253691 0.439405i −0.710848 0.703345i \(-0.751689\pi\)
0.964539 + 0.263940i \(0.0850222\pi\)
\(548\) 12.1601 3.25829i 0.519453 0.139187i
\(549\) 11.9939 + 7.77214i 0.511886 + 0.331707i
\(550\) −3.88080 + 2.24058i −0.165478 + 0.0955388i
\(551\) 27.1811 7.28317i 1.15796 0.310273i
\(552\) 9.62665 5.23298i 0.409738 0.222731i
\(553\) −2.79372 + 0.748574i −0.118801 + 0.0318326i
\(554\) 18.7804 + 5.03218i 0.797901 + 0.213797i
\(555\) −2.33941 + 7.91200i −0.0993022 + 0.335846i
\(556\) −17.0576 + 9.84823i −0.723405 + 0.417658i
\(557\) −9.18337 34.2728i −0.389112 1.45219i −0.831582 0.555402i \(-0.812564\pi\)
0.442470 0.896783i \(-0.354102\pi\)
\(558\) 15.4695 7.90130i 0.654876 0.334489i
\(559\) −1.90186 + 2.59481i −0.0804400 + 0.109749i
\(560\) 1.04518 + 0.603436i 0.0441670 + 0.0254998i
\(561\) 0.106070 4.12831i 0.00447829 0.174298i
\(562\) −29.8076 −1.25736
\(563\) 18.4876 32.0214i 0.779159 1.34954i −0.153268 0.988185i \(-0.548980\pi\)
0.932427 0.361358i \(-0.117687\pi\)
\(564\) 3.42991 5.60329i 0.144425 0.235941i
\(565\) 5.28003 5.28003i 0.222133 0.222133i
\(566\) −21.3237 5.71368i −0.896303 0.240164i
\(567\) −5.74923 + 15.0658i −0.241445 + 0.632706i
\(568\) −3.30154 5.71843i −0.138529 0.239940i
\(569\) 12.2655 + 21.2445i 0.514198 + 0.890616i 0.999864 + 0.0164722i \(0.00524351\pi\)
−0.485667 + 0.874144i \(0.661423\pi\)
\(570\) −3.65269 6.71952i −0.152994 0.281450i
\(571\) 7.42838 4.28878i 0.310868 0.179480i −0.336447 0.941702i \(-0.609225\pi\)
0.647315 + 0.762223i \(0.275892\pi\)
\(572\) −0.541280 3.51244i −0.0226320 0.146863i
\(573\) −8.87571 + 30.0181i −0.370788 + 1.25403i
\(574\) 8.61166 + 2.30749i 0.359444 + 0.0963127i
\(575\) −24.9069 14.3800i −1.03869 0.599688i
\(576\) 1.63144 2.51762i 0.0679766 0.104901i
\(577\) −0.991168 + 0.991168i −0.0412629 + 0.0412629i −0.727437 0.686174i \(-0.759289\pi\)
0.686174 + 0.727437i \(0.259289\pi\)
\(578\) 7.88341 + 7.88341i 0.327907 + 0.327907i
\(579\) −6.09038 11.2039i −0.253107 0.465619i
\(580\) −0.748347 + 2.79287i −0.0310734 + 0.115968i
\(581\) −11.7438 6.78029i −0.487215 0.281294i
\(582\) 0.778314 + 3.23490i 0.0322622 + 0.134091i
\(583\) −2.29604 + 8.56894i −0.0950923 + 0.354889i
\(584\) −11.3390 −0.469211
\(585\) 7.24836 0.738431i 0.299683 0.0305304i
\(586\) −9.48781 −0.391938
\(587\) 9.87397 36.8502i 0.407543 1.52097i −0.391775 0.920061i \(-0.628139\pi\)
0.799318 0.600908i \(-0.205194\pi\)
\(588\) 4.75911 4.52068i 0.196262 0.186430i
\(589\) −32.8722 18.9788i −1.35448 0.782008i
\(590\) −0.823366 + 3.07284i −0.0338975 + 0.126507i
\(591\) 42.3892 + 1.08912i 1.74366 + 0.0448005i
\(592\) 5.00059 + 5.00059i 0.205523 + 0.205523i
\(593\) 22.4411 22.4411i 0.921547 0.921547i −0.0755923 0.997139i \(-0.524085\pi\)
0.997139 + 0.0755923i \(0.0240847\pi\)
\(594\) 5.03457 0.940795i 0.206571 0.0386013i
\(595\) 2.52821 + 1.45966i 0.103647 + 0.0598403i
\(596\) 9.34027 + 2.50272i 0.382592 + 0.102515i
\(597\) 13.5687 3.26461i 0.555329 0.133612i
\(598\) 17.7857 14.2799i 0.727310 0.583948i
\(599\) 12.9383 7.46992i 0.528644 0.305213i −0.211820 0.977309i \(-0.567939\pi\)
0.740464 + 0.672096i \(0.234606\pi\)
\(600\) −7.87181 0.202253i −0.321365 0.00825696i
\(601\) 4.71759 + 8.17110i 0.192434 + 0.333306i 0.946056 0.324002i \(-0.105028\pi\)
−0.753622 + 0.657308i \(0.771695\pi\)
\(602\) −0.799360 1.38453i −0.0325795 0.0564293i
\(603\) −32.4841 + 6.93814i −1.32285 + 0.282543i
\(604\) −4.80308 1.28698i −0.195434 0.0523665i
\(605\) −4.77648 + 4.77648i −0.194191 + 0.194191i
\(606\) −25.7851 0.662506i −1.04745 0.0269125i
\(607\) −4.11465 + 7.12678i −0.167008 + 0.289267i −0.937367 0.348344i \(-0.886744\pi\)
0.770358 + 0.637611i \(0.220077\pi\)
\(608\) −6.55551 −0.265861
\(609\) −11.3618 6.95483i −0.460403 0.281824i
\(610\) 2.77901 + 1.60446i 0.112519 + 0.0649627i
\(611\) 4.95433 12.7470i 0.200431 0.515688i
\(612\) 3.94632 6.08992i 0.159521 0.246170i
\(613\) −5.26589 19.6526i −0.212687 0.793760i −0.986968 0.160918i \(-0.948555\pi\)
0.774280 0.632843i \(-0.218112\pi\)
\(614\) −4.11150 + 2.37378i −0.165927 + 0.0957979i
\(615\) 5.64418 1.35799i 0.227595 0.0547593i
\(616\) 1.70589 + 0.457091i 0.0687321 + 0.0184167i
\(617\) 31.6362 8.47690i 1.27363 0.341267i 0.442207 0.896913i \(-0.354195\pi\)
0.831419 + 0.555646i \(0.187529\pi\)
\(618\) −0.466824 + 18.1690i −0.0187784 + 0.730866i
\(619\) −9.36687 + 2.50985i −0.376486 + 0.100879i −0.442100 0.896966i \(-0.645766\pi\)
0.0656133 + 0.997845i \(0.479100\pi\)
\(620\) 3.37763 1.95008i 0.135649 0.0783169i
\(621\) 21.3850 + 24.9638i 0.858149 + 1.00176i
\(622\) −20.4069 + 5.46802i −0.818244 + 0.219248i
\(623\) −1.52603 + 2.64316i −0.0611391 + 0.105896i
\(624\) 2.41111 5.76078i 0.0965217 0.230616i
\(625\) 9.20010 + 15.9350i 0.368004 + 0.637402i
\(626\) −7.30568 7.30568i −0.291994 0.291994i
\(627\) −7.70794 8.11447i −0.307825 0.324061i
\(628\) 9.72362i 0.388015i
\(629\) 12.0960 + 12.0960i 0.482300 + 0.482300i
\(630\) −1.11544 + 3.44451i −0.0444402 + 0.137233i
\(631\) −5.85572 + 21.8539i −0.233113 + 0.869988i 0.745878 + 0.666083i \(0.232030\pi\)
−0.978991 + 0.203906i \(0.934636\pi\)
\(632\) 0.417795 + 1.55923i 0.0166190 + 0.0620229i
\(633\) 23.3894 + 6.91574i 0.929646 + 0.274876i
\(634\) 16.7572i 0.665514i
\(635\) 2.38248 2.38248i 0.0945457 0.0945457i
\(636\) −11.3024 + 10.7361i −0.448168 + 0.425715i
\(637\) 8.07762 11.0207i 0.320047 0.436658i
\(638\) 4.23108i 0.167510i
\(639\) 14.7081 13.2694i 0.581842 0.524931i
\(640\) 0.336790 0.583337i 0.0133128 0.0230584i
\(641\) 10.7880 0.426100 0.213050 0.977041i \(-0.431660\pi\)
0.213050 + 0.977041i \(0.431660\pi\)
\(642\) 3.30170 1.79478i 0.130308 0.0708344i
\(643\) 2.77540 + 10.3579i 0.109451 + 0.408477i 0.998812 0.0487289i \(-0.0155170\pi\)
−0.889361 + 0.457206i \(0.848850\pi\)
\(644\) 2.93360 + 10.9483i 0.115600 + 0.431425i
\(645\) −0.887865 0.543483i −0.0349596 0.0213996i
\(646\) −15.8572 −0.623895
\(647\) −2.44136 + 4.22856i −0.0959799 + 0.166242i −0.910017 0.414571i \(-0.863932\pi\)
0.814037 + 0.580813i \(0.197265\pi\)
\(648\) 8.40856 + 3.20876i 0.330319 + 0.126052i
\(649\) 4.65524i 0.182734i
\(650\) −16.2006 + 2.49658i −0.635442 + 0.0979238i
\(651\) 4.20339 + 17.4705i 0.164744 + 0.684723i
\(652\) −3.40734 + 3.40734i −0.133442 + 0.133442i
\(653\) 21.9436i 0.858719i 0.903134 + 0.429360i \(0.141261\pi\)
−0.903134 + 0.429360i \(0.858739\pi\)
\(654\) 4.74742 + 19.7316i 0.185639 + 0.771568i
\(655\) −3.83206 14.3014i −0.149731 0.558803i
\(656\) 1.28786 4.80634i 0.0502823 0.187656i
\(657\) −7.10528 33.2666i −0.277203 1.29786i
\(658\) 4.80554 + 4.80554i 0.187340 + 0.187340i
\(659\) 42.3078i 1.64808i 0.566534 + 0.824038i \(0.308284\pi\)
−0.566534 + 0.824038i \(0.691716\pi\)
\(660\) 1.11806 0.269004i 0.0435203 0.0104710i
\(661\) −22.1456 22.1456i −0.861363 0.861363i 0.130133 0.991497i \(-0.458460\pi\)
−0.991497 + 0.130133i \(0.958460\pi\)
\(662\) 7.37732 + 12.7779i 0.286728 + 0.496627i
\(663\) 5.83228 13.9349i 0.226507 0.541185i
\(664\) −3.78422 + 6.55446i −0.146856 + 0.254362i
\(665\) 7.64207 2.04769i 0.296347 0.0794059i
\(666\) −11.5374 + 17.8044i −0.447065 + 0.689905i
\(667\) −23.5169 + 13.5775i −0.910579 + 0.525723i
\(668\) −13.6676 + 3.66224i −0.528817 + 0.141696i
\(669\) 35.0726 + 21.4688i 1.35599 + 0.830031i
\(670\) −7.20392 + 1.93029i −0.278312 + 0.0745734i
\(671\) 4.53573 + 1.21535i 0.175100 + 0.0469179i
\(672\) 2.13732 + 2.25005i 0.0824490 + 0.0867975i
\(673\) −32.9394 + 19.0176i −1.26972 + 0.733075i −0.974935 0.222488i \(-0.928582\pi\)
−0.294787 + 0.955563i \(0.595249\pi\)
\(674\) −1.00563 3.75304i −0.0387352 0.144562i
\(675\) −4.33928 23.2213i −0.167019 0.893787i
\(676\) 2.80903 12.6929i 0.108040 0.488188i
\(677\) −4.73877 2.73593i −0.182126 0.105150i 0.406165 0.913800i \(-0.366866\pi\)
−0.588291 + 0.808649i \(0.700199\pi\)
\(678\) 16.8696 9.17022i 0.647874 0.352180i
\(679\) −3.44185 −0.132086
\(680\) 0.814668 1.41105i 0.0312411 0.0541111i
\(681\) 19.8047 + 36.4329i 0.758917 + 1.39611i
\(682\) 4.03563 4.03563i 0.154532 0.154532i
\(683\) 24.9699 + 6.69067i 0.955447 + 0.256011i 0.702672 0.711514i \(-0.251990\pi\)
0.252775 + 0.967525i \(0.418657\pi\)
\(684\) −4.10784 19.2327i −0.157067 0.735382i
\(685\) 4.23986 + 7.34366i 0.161997 + 0.280587i
\(686\) 9.66611 + 16.7422i 0.369054 + 0.639220i
\(687\) −18.5700 + 30.3370i −0.708489 + 1.15743i
\(688\) −0.772736 + 0.446139i −0.0294603 + 0.0170089i
\(689\) −19.1834 + 26.1730i −0.730831 + 0.997113i
\(690\) 5.08299 + 5.35108i 0.193506 + 0.203712i
\(691\) 32.7059 + 8.76352i 1.24419 + 0.333380i 0.820090 0.572235i \(-0.193923\pi\)
0.424101 + 0.905615i \(0.360590\pi\)
\(692\) −20.0900 11.5989i −0.763706 0.440926i
\(693\) −0.272077 + 5.29120i −0.0103354 + 0.200996i
\(694\) −22.8522 + 22.8522i −0.867459 + 0.867459i
\(695\) −9.38129 9.38129i −0.355852 0.355852i
\(696\) −3.88163 + 6.34125i −0.147133 + 0.240365i
\(697\) 3.11522 11.6262i 0.117997 0.440372i
\(698\) 16.4240 + 9.48239i 0.621657 + 0.358914i
\(699\) 4.63527 + 1.37055i 0.175322 + 0.0518389i
\(700\) 2.10827 7.86816i 0.0796850 0.297388i
\(701\) 29.4689 1.11303 0.556513 0.830839i \(-0.312139\pi\)
0.556513 + 0.830839i \(0.312139\pi\)
\(702\) 18.4120 + 3.46395i 0.694915 + 0.130738i
\(703\) 46.3599 1.74850
\(704\) 0.255112 0.952090i 0.00961488 0.0358832i
\(705\) 4.24361 + 1.25474i 0.159824 + 0.0472563i
\(706\) 16.9718 + 9.79865i 0.638740 + 0.368777i
\(707\) 6.90589 25.7731i 0.259723 0.969298i
\(708\) −4.27075 + 6.97694i −0.160505 + 0.262210i
\(709\) 9.17695 + 9.17695i 0.344648 + 0.344648i 0.858111 0.513464i \(-0.171638\pi\)
−0.513464 + 0.858111i \(0.671638\pi\)
\(710\) 3.14500 3.14500i 0.118030 0.118030i
\(711\) −4.31271 + 2.20279i −0.161739 + 0.0826110i
\(712\) 1.47520 + 0.851709i 0.0552856 + 0.0319191i
\(713\) 35.3809 + 9.48027i 1.32502 + 0.355039i
\(714\) 5.17001 + 5.44269i 0.193483 + 0.203687i
\(715\) 2.19093 0.964514i 0.0819361 0.0360708i
\(716\) −4.82455 + 2.78545i −0.180302 + 0.104097i
\(717\) −7.10412 + 11.6057i −0.265308 + 0.433422i
\(718\) −13.5825 23.5255i −0.506894 0.877965i
\(719\) −1.46802 2.54269i −0.0547480 0.0948263i 0.837353 0.546663i \(-0.184102\pi\)
−0.892101 + 0.451837i \(0.850769\pi\)
\(720\) 1.92245 + 0.622551i 0.0716455 + 0.0232011i
\(721\) −18.1606 4.86612i −0.676336 0.181224i
\(722\) −16.9527 + 16.9527i −0.630913 + 0.630913i
\(723\) 19.2576 + 35.4265i 0.716198 + 1.31753i
\(724\) −10.4205 + 18.0488i −0.387274 + 0.670779i
\(725\) 19.5153 0.724779
\(726\) −15.2608 + 8.29565i −0.566380 + 0.307881i
\(727\) 34.7895 + 20.0857i 1.29027 + 0.744938i 0.978702 0.205285i \(-0.0658122\pi\)
0.311569 + 0.950224i \(0.399146\pi\)
\(728\) 5.21047 + 3.81900i 0.193113 + 0.141541i
\(729\) −4.14496 + 26.6799i −0.153517 + 0.988146i
\(730\) −1.97679 7.37746i −0.0731641 0.273052i
\(731\) −1.86919 + 1.07917i −0.0691343 + 0.0399147i
\(732\) 5.68287 + 5.98259i 0.210045 + 0.221123i
\(733\) 12.6590 + 3.39197i 0.467571 + 0.125285i 0.484909 0.874564i \(-0.338853\pi\)
−0.0173384 + 0.999850i \(0.505519\pi\)
\(734\) 7.43211 1.99143i 0.274324 0.0735050i
\(735\) 3.77096 + 2.30830i 0.139094 + 0.0851428i
\(736\) 6.11049 1.63730i 0.225236 0.0603517i
\(737\) −9.45150 + 5.45683i −0.348151 + 0.201005i
\(738\) 14.9080 + 0.766579i 0.548770 + 0.0282182i
\(739\) −20.2177 + 5.41732i −0.743721 + 0.199279i −0.610731 0.791838i \(-0.709124\pi\)
−0.132990 + 0.991117i \(0.542458\pi\)
\(740\) −2.38175 + 4.12531i −0.0875547 + 0.151649i
\(741\) −15.5272 37.8803i −0.570405 1.39157i
\(742\) −8.06290 13.9654i −0.295998 0.512684i
\(743\) 11.8437 + 11.8437i 0.434502 + 0.434502i 0.890157 0.455655i \(-0.150595\pi\)
−0.455655 + 0.890157i \(0.650595\pi\)
\(744\) 9.75064 2.34600i 0.357476 0.0860085i
\(745\) 6.51335i 0.238631i
\(746\) 11.3830 + 11.3830i 0.416760 + 0.416760i
\(747\) −21.6009 6.99506i −0.790336 0.255936i
\(748\) 0.617094 2.30303i 0.0225632 0.0842070i
\(749\) 1.00615 + 3.75500i 0.0367639 + 0.137205i
\(750\) −2.60531 10.8284i −0.0951324 0.395397i
\(751\) 9.36886i 0.341875i −0.985282 0.170937i \(-0.945320\pi\)
0.985282 0.170937i \(-0.0546796\pi\)
\(752\) 2.68207 2.68207i 0.0978051 0.0978051i
\(753\) −10.5539 43.8649i −0.384604 1.59852i
\(754\) −5.60683 + 14.4258i −0.204189 + 0.525357i
\(755\) 3.34938i 0.121897i
\(756\) −5.26196 + 7.68047i −0.191376 + 0.279336i
\(757\) 1.46922 2.54477i 0.0533999 0.0924913i −0.838090 0.545532i \(-0.816328\pi\)
0.891490 + 0.453041i \(0.149661\pi\)
\(758\) −25.9610 −0.942945
\(759\) 9.21136 + 5.63849i 0.334351 + 0.204664i
\(760\) −1.14286 4.26520i −0.0414558 0.154715i
\(761\) 2.67639 + 9.98843i 0.0970191 + 0.362080i 0.997318 0.0731923i \(-0.0233187\pi\)
−0.900299 + 0.435273i \(0.856652\pi\)
\(762\) 7.61198 4.13782i 0.275753 0.149897i
\(763\) −20.9940 −0.760032
\(764\) −9.03635 + 15.6514i −0.326924 + 0.566248i
\(765\) 4.65025 + 1.50590i 0.168130 + 0.0544459i
\(766\) 31.4582i 1.13663i
\(767\) −6.16889 + 15.8719i −0.222746 + 0.573103i
\(768\) 1.25580 1.19288i 0.0453147 0.0430445i
\(769\) 0.0494190 0.0494190i 0.00178210 0.00178210i